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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_max_terms,
> DEBUGMASSIVE,
> DEBUGL,
> INFO,
> glob_iolevel,
> ALWAYS,
> #Top Generate Globals Decl
> glob_normmax,
> glob_warned,
> glob_max_rel_trunc_err,
> glob_max_iter,
> glob_abserr,
> glob_log10_relerr,
> glob_max_opt_iter,
> glob_iter,
> glob_max_trunc_err,
> days_in_year,
> sec_in_min,
> glob_hmin,
> glob_clock_sec,
> glob_percent_done,
> glob_max_hours,
> glob_relerr,
> glob_hmin_init,
> glob_reached_optimal_h,
> glob_not_yet_start_msg,
> glob_initial_pass,
> glob_not_yet_finished,
> glob_almost_1,
> glob_log10_abserr,
> glob_large_float,
> glob_hmax,
> glob_clock_start_sec,
> years_in_century,
> hours_in_day,
> glob_html_log,
> glob_optimal_expect_sec,
> glob_max_minutes,
> centuries_in_millinium,
> glob_log10normmin,
> glob_smallish_float,
> glob_dump_analytic,
> djd_debug,
> glob_dump,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_curr_iter_when_opt,
> glob_small_float,
> glob_optimal_clock_start_sec,
> glob_no_eqs,
> glob_h,
> glob_optimal_done,
> min_in_hour,
> glob_subiter_method,
> glob_log10relerr,
> glob_start,
> glob_orig_start_sec,
> glob_unchanged_h_cnt,
> glob_optimal_start,
> glob_look_poles,
> glob_log10abserr,
> glob_max_sec,
> glob_warned2,
> glob_last_good_h,
> glob_disp_incr,
> djd_debug2,
> glob_display_flag,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> #END CONST
> array_y,
> array_x,
> array_norms,
> array_y_init,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_1st_rel_error,
> array_tmp1_a1,
> array_tmp1_a2,
> array_type_pole,
> array_m1,
> array_pole,
> array_last_rel_error,
> array_y_set_initial,
> array_poles,
> array_y_higher_work,
> array_complex_pole,
> array_y_higher,
> array_real_pole,
> array_y_higher_work2,
> 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_max_terms, DEBUGMASSIVE, DEBUGL, INFO, glob_iolevel, ALWAYS,
glob_normmax, glob_warned, glob_max_rel_trunc_err, glob_max_iter,
glob_abserr, glob_log10_relerr, glob_max_opt_iter, glob_iter,
glob_max_trunc_err, days_in_year, sec_in_min, glob_hmin, glob_clock_sec,
glob_percent_done, glob_max_hours, glob_relerr, glob_hmin_init,
glob_reached_optimal_h, glob_not_yet_start_msg, glob_initial_pass,
glob_not_yet_finished, glob_almost_1, glob_log10_abserr, glob_large_float,
glob_hmax, glob_clock_start_sec, years_in_century, hours_in_day,
glob_html_log, glob_optimal_expect_sec, glob_max_minutes,
centuries_in_millinium, glob_log10normmin, glob_smallish_float,
glob_dump_analytic, djd_debug, glob_dump, MAX_UNCHANGED, glob_current_iter,
glob_curr_iter_when_opt, glob_small_float, glob_optimal_clock_start_sec,
glob_no_eqs, glob_h, glob_optimal_done, min_in_hour, glob_subiter_method,
glob_log10relerr, glob_start, glob_orig_start_sec, glob_unchanged_h_cnt,
glob_optimal_start, glob_look_poles, glob_log10abserr, glob_max_sec,
glob_warned2, glob_last_good_h, glob_disp_incr, djd_debug2,
glob_display_flag, array_const_1, array_const_0D0, array_y, array_x,
array_norms, array_y_init, array_tmp0, array_tmp1, array_tmp2,
array_1st_rel_error, array_tmp1_a1, array_tmp1_a2, array_type_pole,
array_m1, array_pole, array_last_rel_error, array_y_set_initial,
array_poles, array_y_higher_work, array_complex_pole, array_y_higher,
array_real_pole, array_y_higher_work2, 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_max_terms,
> DEBUGMASSIVE,
> DEBUGL,
> INFO,
> glob_iolevel,
> ALWAYS,
> #Top Generate Globals Decl
> glob_normmax,
> glob_warned,
> glob_max_rel_trunc_err,
> glob_max_iter,
> glob_abserr,
> glob_log10_relerr,
> glob_max_opt_iter,
> glob_iter,
> glob_max_trunc_err,
> days_in_year,
> sec_in_min,
> glob_hmin,
> glob_clock_sec,
> glob_percent_done,
> glob_max_hours,
> glob_relerr,
> glob_hmin_init,
> glob_reached_optimal_h,
> glob_not_yet_start_msg,
> glob_initial_pass,
> glob_not_yet_finished,
> glob_almost_1,
> glob_log10_abserr,
> glob_large_float,
> glob_hmax,
> glob_clock_start_sec,
> years_in_century,
> hours_in_day,
> glob_html_log,
> glob_optimal_expect_sec,
> glob_max_minutes,
> centuries_in_millinium,
> glob_log10normmin,
> glob_smallish_float,
> glob_dump_analytic,
> djd_debug,
> glob_dump,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_curr_iter_when_opt,
> glob_small_float,
> glob_optimal_clock_start_sec,
> glob_no_eqs,
> glob_h,
> glob_optimal_done,
> min_in_hour,
> glob_subiter_method,
> glob_log10relerr,
> glob_start,
> glob_orig_start_sec,
> glob_unchanged_h_cnt,
> glob_optimal_start,
> glob_look_poles,
> glob_log10abserr,
> glob_max_sec,
> glob_warned2,
> glob_last_good_h,
> glob_disp_incr,
> djd_debug2,
> glob_display_flag,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> #END CONST
> array_y,
> array_x,
> array_norms,
> array_y_init,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_1st_rel_error,
> array_tmp1_a1,
> array_tmp1_a2,
> array_type_pole,
> array_m1,
> array_pole,
> array_last_rel_error,
> array_y_set_initial,
> array_poles,
> array_y_higher_work,
> array_complex_pole,
> array_y_higher,
> array_real_pole,
> array_y_higher_work2,
> 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_max_terms, DEBUGMASSIVE, DEBUGL, INFO, glob_iolevel, ALWAYS,
glob_normmax, glob_warned, glob_max_rel_trunc_err, glob_max_iter,
glob_abserr, glob_log10_relerr, glob_max_opt_iter, glob_iter,
glob_max_trunc_err, days_in_year, sec_in_min, glob_hmin, glob_clock_sec,
glob_percent_done, glob_max_hours, glob_relerr, glob_hmin_init,
glob_reached_optimal_h, glob_not_yet_start_msg, glob_initial_pass,
glob_not_yet_finished, glob_almost_1, glob_log10_abserr, glob_large_float,
glob_hmax, glob_clock_start_sec, years_in_century, hours_in_day,
glob_html_log, glob_optimal_expect_sec, glob_max_minutes,
centuries_in_millinium, glob_log10normmin, glob_smallish_float,
glob_dump_analytic, djd_debug, glob_dump, MAX_UNCHANGED, glob_current_iter,
glob_curr_iter_when_opt, glob_small_float, glob_optimal_clock_start_sec,
glob_no_eqs, glob_h, glob_optimal_done, min_in_hour, glob_subiter_method,
glob_log10relerr, glob_start, glob_orig_start_sec, glob_unchanged_h_cnt,
glob_optimal_start, glob_look_poles, glob_log10abserr, glob_max_sec,
glob_warned2, glob_last_good_h, glob_disp_incr, djd_debug2,
glob_display_flag, array_const_1, array_const_0D0, array_y, array_x,
array_norms, array_y_init, array_tmp0, array_tmp1, array_tmp2,
array_1st_rel_error, array_tmp1_a1, array_tmp1_a2, array_type_pole,
array_m1, array_pole, array_last_rel_error, array_y_set_initial,
array_poles, array_y_higher_work, array_complex_pole, array_y_higher,
array_real_pole, array_y_higher_work2, 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_max_terms,
> DEBUGMASSIVE,
> DEBUGL,
> INFO,
> glob_iolevel,
> ALWAYS,
> #Top Generate Globals Decl
> glob_normmax,
> glob_warned,
> glob_max_rel_trunc_err,
> glob_max_iter,
> glob_abserr,
> glob_log10_relerr,
> glob_max_opt_iter,
> glob_iter,
> glob_max_trunc_err,
> days_in_year,
> sec_in_min,
> glob_hmin,
> glob_clock_sec,
> glob_percent_done,
> glob_max_hours,
> glob_relerr,
> glob_hmin_init,
> glob_reached_optimal_h,
> glob_not_yet_start_msg,
> glob_initial_pass,
> glob_not_yet_finished,
> glob_almost_1,
> glob_log10_abserr,
> glob_large_float,
> glob_hmax,
> glob_clock_start_sec,
> years_in_century,
> hours_in_day,
> glob_html_log,
> glob_optimal_expect_sec,
> glob_max_minutes,
> centuries_in_millinium,
> glob_log10normmin,
> glob_smallish_float,
> glob_dump_analytic,
> djd_debug,
> glob_dump,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_curr_iter_when_opt,
> glob_small_float,
> glob_optimal_clock_start_sec,
> glob_no_eqs,
> glob_h,
> glob_optimal_done,
> min_in_hour,
> glob_subiter_method,
> glob_log10relerr,
> glob_start,
> glob_orig_start_sec,
> glob_unchanged_h_cnt,
> glob_optimal_start,
> glob_look_poles,
> glob_log10abserr,
> glob_max_sec,
> glob_warned2,
> glob_last_good_h,
> glob_disp_incr,
> djd_debug2,
> glob_display_flag,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> #END CONST
> array_y,
> array_x,
> array_norms,
> array_y_init,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_1st_rel_error,
> array_tmp1_a1,
> array_tmp1_a2,
> array_type_pole,
> array_m1,
> array_pole,
> array_last_rel_error,
> array_y_set_initial,
> array_poles,
> array_y_higher_work,
> array_complex_pole,
> array_y_higher,
> array_real_pole,
> array_y_higher_work2,
> 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_max_terms, DEBUGMASSIVE, DEBUGL, INFO, glob_iolevel, ALWAYS,
glob_normmax, glob_warned, glob_max_rel_trunc_err, glob_max_iter,
glob_abserr, glob_log10_relerr, glob_max_opt_iter, glob_iter,
glob_max_trunc_err, days_in_year, sec_in_min, glob_hmin, glob_clock_sec,
glob_percent_done, glob_max_hours, glob_relerr, glob_hmin_init,
glob_reached_optimal_h, glob_not_yet_start_msg, glob_initial_pass,
glob_not_yet_finished, glob_almost_1, glob_log10_abserr, glob_large_float,
glob_hmax, glob_clock_start_sec, years_in_century, hours_in_day,
glob_html_log, glob_optimal_expect_sec, glob_max_minutes,
centuries_in_millinium, glob_log10normmin, glob_smallish_float,
glob_dump_analytic, djd_debug, glob_dump, MAX_UNCHANGED, glob_current_iter,
glob_curr_iter_when_opt, glob_small_float, glob_optimal_clock_start_sec,
glob_no_eqs, glob_h, glob_optimal_done, min_in_hour, glob_subiter_method,
glob_log10relerr, glob_start, glob_orig_start_sec, glob_unchanged_h_cnt,
glob_optimal_start, glob_look_poles, glob_log10abserr, glob_max_sec,
glob_warned2, glob_last_good_h, glob_disp_incr, djd_debug2,
glob_display_flag, array_const_1, array_const_0D0, array_y, array_x,
array_norms, array_y_init, array_tmp0, array_tmp1, array_tmp2,
array_1st_rel_error, array_tmp1_a1, array_tmp1_a2, array_type_pole,
array_m1, array_pole, array_last_rel_error, array_y_set_initial,
array_poles, array_y_higher_work, array_complex_pole, array_y_higher,
array_real_pole, array_y_higher_work2, 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_max_terms,
> DEBUGMASSIVE,
> DEBUGL,
> INFO,
> glob_iolevel,
> ALWAYS,
> #Top Generate Globals Decl
> glob_normmax,
> glob_warned,
> glob_max_rel_trunc_err,
> glob_max_iter,
> glob_abserr,
> glob_log10_relerr,
> glob_max_opt_iter,
> glob_iter,
> glob_max_trunc_err,
> days_in_year,
> sec_in_min,
> glob_hmin,
> glob_clock_sec,
> glob_percent_done,
> glob_max_hours,
> glob_relerr,
> glob_hmin_init,
> glob_reached_optimal_h,
> glob_not_yet_start_msg,
> glob_initial_pass,
> glob_not_yet_finished,
> glob_almost_1,
> glob_log10_abserr,
> glob_large_float,
> glob_hmax,
> glob_clock_start_sec,
> years_in_century,
> hours_in_day,
> glob_html_log,
> glob_optimal_expect_sec,
> glob_max_minutes,
> centuries_in_millinium,
> glob_log10normmin,
> glob_smallish_float,
> glob_dump_analytic,
> djd_debug,
> glob_dump,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_curr_iter_when_opt,
> glob_small_float,
> glob_optimal_clock_start_sec,
> glob_no_eqs,
> glob_h,
> glob_optimal_done,
> min_in_hour,
> glob_subiter_method,
> glob_log10relerr,
> glob_start,
> glob_orig_start_sec,
> glob_unchanged_h_cnt,
> glob_optimal_start,
> glob_look_poles,
> glob_log10abserr,
> glob_max_sec,
> glob_warned2,
> glob_last_good_h,
> glob_disp_incr,
> djd_debug2,
> glob_display_flag,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> #END CONST
> array_y,
> array_x,
> array_norms,
> array_y_init,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_1st_rel_error,
> array_tmp1_a1,
> array_tmp1_a2,
> array_type_pole,
> array_m1,
> array_pole,
> array_last_rel_error,
> array_y_set_initial,
> array_poles,
> array_y_higher_work,
> array_complex_pole,
> array_y_higher,
> array_real_pole,
> array_y_higher_work2,
> 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_max_terms, DEBUGMASSIVE, DEBUGL, INFO, glob_iolevel, ALWAYS,
glob_normmax, glob_warned, glob_max_rel_trunc_err, glob_max_iter,
glob_abserr, glob_log10_relerr, glob_max_opt_iter, glob_iter,
glob_max_trunc_err, days_in_year, sec_in_min, glob_hmin, glob_clock_sec,
glob_percent_done, glob_max_hours, glob_relerr, glob_hmin_init,
glob_reached_optimal_h, glob_not_yet_start_msg, glob_initial_pass,
glob_not_yet_finished, glob_almost_1, glob_log10_abserr, glob_large_float,
glob_hmax, glob_clock_start_sec, years_in_century, hours_in_day,
glob_html_log, glob_optimal_expect_sec, glob_max_minutes,
centuries_in_millinium, glob_log10normmin, glob_smallish_float,
glob_dump_analytic, djd_debug, glob_dump, MAX_UNCHANGED, glob_current_iter,
glob_curr_iter_when_opt, glob_small_float, glob_optimal_clock_start_sec,
glob_no_eqs, glob_h, glob_optimal_done, min_in_hour, glob_subiter_method,
glob_log10relerr, glob_start, glob_orig_start_sec, glob_unchanged_h_cnt,
glob_optimal_start, glob_look_poles, glob_log10abserr, glob_max_sec,
glob_warned2, glob_last_good_h, glob_disp_incr, djd_debug2,
glob_display_flag, array_const_1, array_const_0D0, array_y, array_x,
array_norms, array_y_init, array_tmp0, array_tmp1, array_tmp2,
array_1st_rel_error, array_tmp1_a1, array_tmp1_a2, array_type_pole,
array_m1, array_pole, array_last_rel_error, array_y_set_initial,
array_poles, array_y_higher_work, array_complex_pole, array_y_higher,
array_real_pole, array_y_higher_work2, 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_max_terms,
> DEBUGMASSIVE,
> DEBUGL,
> INFO,
> glob_iolevel,
> ALWAYS,
> #Top Generate Globals Decl
> glob_normmax,
> glob_warned,
> glob_max_rel_trunc_err,
> glob_max_iter,
> glob_abserr,
> glob_log10_relerr,
> glob_max_opt_iter,
> glob_iter,
> glob_max_trunc_err,
> days_in_year,
> sec_in_min,
> glob_hmin,
> glob_clock_sec,
> glob_percent_done,
> glob_max_hours,
> glob_relerr,
> glob_hmin_init,
> glob_reached_optimal_h,
> glob_not_yet_start_msg,
> glob_initial_pass,
> glob_not_yet_finished,
> glob_almost_1,
> glob_log10_abserr,
> glob_large_float,
> glob_hmax,
> glob_clock_start_sec,
> years_in_century,
> hours_in_day,
> glob_html_log,
> glob_optimal_expect_sec,
> glob_max_minutes,
> centuries_in_millinium,
> glob_log10normmin,
> glob_smallish_float,
> glob_dump_analytic,
> djd_debug,
> glob_dump,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_curr_iter_when_opt,
> glob_small_float,
> glob_optimal_clock_start_sec,
> glob_no_eqs,
> glob_h,
> glob_optimal_done,
> min_in_hour,
> glob_subiter_method,
> glob_log10relerr,
> glob_start,
> glob_orig_start_sec,
> glob_unchanged_h_cnt,
> glob_optimal_start,
> glob_look_poles,
> glob_log10abserr,
> glob_max_sec,
> glob_warned2,
> glob_last_good_h,
> glob_disp_incr,
> djd_debug2,
> glob_display_flag,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> #END CONST
> array_y,
> array_x,
> array_norms,
> array_y_init,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_1st_rel_error,
> array_tmp1_a1,
> array_tmp1_a2,
> array_type_pole,
> array_m1,
> array_pole,
> array_last_rel_error,
> array_y_set_initial,
> array_poles,
> array_y_higher_work,
> array_complex_pole,
> array_y_higher,
> array_real_pole,
> array_y_higher_work2,
> 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_max_terms, DEBUGMASSIVE, DEBUGL, INFO, glob_iolevel, ALWAYS,
glob_normmax, glob_warned, glob_max_rel_trunc_err, glob_max_iter,
glob_abserr, glob_log10_relerr, glob_max_opt_iter, glob_iter,
glob_max_trunc_err, days_in_year, sec_in_min, glob_hmin, glob_clock_sec,
glob_percent_done, glob_max_hours, glob_relerr, glob_hmin_init,
glob_reached_optimal_h, glob_not_yet_start_msg, glob_initial_pass,
glob_not_yet_finished, glob_almost_1, glob_log10_abserr, glob_large_float,
glob_hmax, glob_clock_start_sec, years_in_century, hours_in_day,
glob_html_log, glob_optimal_expect_sec, glob_max_minutes,
centuries_in_millinium, glob_log10normmin, glob_smallish_float,
glob_dump_analytic, djd_debug, glob_dump, MAX_UNCHANGED, glob_current_iter,
glob_curr_iter_when_opt, glob_small_float, glob_optimal_clock_start_sec,
glob_no_eqs, glob_h, glob_optimal_done, min_in_hour, glob_subiter_method,
glob_log10relerr, glob_start, glob_orig_start_sec, glob_unchanged_h_cnt,
glob_optimal_start, glob_look_poles, glob_log10abserr, glob_max_sec,
glob_warned2, glob_last_good_h, glob_disp_incr, djd_debug2,
glob_display_flag, array_const_1, array_const_0D0, array_y, array_x,
array_norms, array_y_init, array_tmp0, array_tmp1, array_tmp2,
array_1st_rel_error, array_tmp1_a1, array_tmp1_a2, array_type_pole,
array_m1, array_pole, array_last_rel_error, array_y_set_initial,
array_poles, array_y_higher_work, array_complex_pole, array_y_higher,
array_real_pole, array_y_higher_work2, 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_max_terms,
> DEBUGMASSIVE,
> DEBUGL,
> INFO,
> glob_iolevel,
> ALWAYS,
> #Top Generate Globals Decl
> glob_normmax,
> glob_warned,
> glob_max_rel_trunc_err,
> glob_max_iter,
> glob_abserr,
> glob_log10_relerr,
> glob_max_opt_iter,
> glob_iter,
> glob_max_trunc_err,
> days_in_year,
> sec_in_min,
> glob_hmin,
> glob_clock_sec,
> glob_percent_done,
> glob_max_hours,
> glob_relerr,
> glob_hmin_init,
> glob_reached_optimal_h,
> glob_not_yet_start_msg,
> glob_initial_pass,
> glob_not_yet_finished,
> glob_almost_1,
> glob_log10_abserr,
> glob_large_float,
> glob_hmax,
> glob_clock_start_sec,
> years_in_century,
> hours_in_day,
> glob_html_log,
> glob_optimal_expect_sec,
> glob_max_minutes,
> centuries_in_millinium,
> glob_log10normmin,
> glob_smallish_float,
> glob_dump_analytic,
> djd_debug,
> glob_dump,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_curr_iter_when_opt,
> glob_small_float,
> glob_optimal_clock_start_sec,
> glob_no_eqs,
> glob_h,
> glob_optimal_done,
> min_in_hour,
> glob_subiter_method,
> glob_log10relerr,
> glob_start,
> glob_orig_start_sec,
> glob_unchanged_h_cnt,
> glob_optimal_start,
> glob_look_poles,
> glob_log10abserr,
> glob_max_sec,
> glob_warned2,
> glob_last_good_h,
> glob_disp_incr,
> djd_debug2,
> glob_display_flag,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> #END CONST
> array_y,
> array_x,
> array_norms,
> array_y_init,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_1st_rel_error,
> array_tmp1_a1,
> array_tmp1_a2,
> array_type_pole,
> array_m1,
> array_pole,
> array_last_rel_error,
> array_y_set_initial,
> array_poles,
> array_y_higher_work,
> array_complex_pole,
> array_y_higher,
> array_real_pole,
> array_y_higher_work2,
> glob_last;
>
> local kkk, order_d, adj2, temporary, term;
> #TOP ATOMALL
> #END OUTFILE1
> #BEGIN ATOMHDR1
> #emit pre tanh $eq_no = 1
> array_tmp1_a1[1] := sinh(array_x[1]);
> array_tmp1_a2[1] := cosh(array_x[1]);
> array_tmp1[1] := array_tmp1_a1[1] / array_tmp1_a2[1];
> #emit pre add $eq_no = 1 i = 1
> array_tmp2[1] := array_const_0D0[1] + array_tmp1[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_tmp2[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 tanh $eq_no = 1
> array_tmp1_a1[2] := att(1,array_tmp1_a2,array_x,1);
> array_tmp1_a2[2] := att(1,array_tmp1_a1,array_x,1);
> array_tmp1[2] := ((array_tmp1_a1[2] - ats(2,array_tmp1_a2,array_tmp1,2)) / array_tmp1_a2[1]);
> #emit pre add $eq_no = 1 i = 2
> array_tmp2[2] := array_const_0D0[2] + array_tmp1[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_tmp2[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 tanh $eq_no = 1
> array_tmp1_a1[3] := att(2,array_tmp1_a2,array_x,1);
> array_tmp1_a2[3] := att(2,array_tmp1_a1,array_x,1);
> array_tmp1[3] := ((array_tmp1_a1[3] - ats(3,array_tmp1_a2,array_tmp1,2)) / array_tmp1_a2[1]);
> #emit pre add $eq_no = 1 i = 3
> array_tmp2[3] := array_const_0D0[3] + array_tmp1[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_tmp2[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 tanh $eq_no = 1
> array_tmp1_a1[4] := att(3,array_tmp1_a2,array_x,1);
> array_tmp1_a2[4] := att(3,array_tmp1_a1,array_x,1);
> array_tmp1[4] := ((array_tmp1_a1[4] - ats(4,array_tmp1_a2,array_tmp1,2)) / array_tmp1_a2[1]);
> #emit pre add $eq_no = 1 i = 4
> array_tmp2[4] := array_const_0D0[4] + array_tmp1[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_tmp2[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 tanh $eq_no = 1
> array_tmp1_a1[5] := att(4,array_tmp1_a2,array_x,1);
> array_tmp1_a2[5] := att(4,array_tmp1_a1,array_x,1);
> array_tmp1[5] := ((array_tmp1_a1[5] - ats(5,array_tmp1_a2,array_tmp1,2)) / array_tmp1_a2[1]);
> #emit pre add $eq_no = 1 i = 5
> array_tmp2[5] := array_const_0D0[5] + array_tmp1[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_tmp2[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 tanh $eq_no = 1
> array_tmp1_a1[kkk] := att(kkk-1,array_tmp1_a2,array_x,1);
> array_tmp1_a2[kkk] := att(kkk-1,array_tmp1_a1,array_x,1);
> array_tmp1[kkk] := (array_tmp1_a1[kkk] - ats(kkk,array_tmp1_a2,array_tmp1,2)) / array_tmp1_a2[1];
> #emit add $eq_no = 1
> array_tmp2[kkk] := array_const_0D0[kkk] + array_tmp1[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_tmp2[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_max_terms, DEBUGMASSIVE, DEBUGL, INFO, glob_iolevel, ALWAYS,
glob_normmax, glob_warned, glob_max_rel_trunc_err, glob_max_iter,
glob_abserr, glob_log10_relerr, glob_max_opt_iter, glob_iter,
glob_max_trunc_err, days_in_year, sec_in_min, glob_hmin, glob_clock_sec,
glob_percent_done, glob_max_hours, glob_relerr, glob_hmin_init,
glob_reached_optimal_h, glob_not_yet_start_msg, glob_initial_pass,
glob_not_yet_finished, glob_almost_1, glob_log10_abserr, glob_large_float,
glob_hmax, glob_clock_start_sec, years_in_century, hours_in_day,
glob_html_log, glob_optimal_expect_sec, glob_max_minutes,
centuries_in_millinium, glob_log10normmin, glob_smallish_float,
glob_dump_analytic, djd_debug, glob_dump, MAX_UNCHANGED, glob_current_iter,
glob_curr_iter_when_opt, glob_small_float, glob_optimal_clock_start_sec,
glob_no_eqs, glob_h, glob_optimal_done, min_in_hour, glob_subiter_method,
glob_log10relerr, glob_start, glob_orig_start_sec, glob_unchanged_h_cnt,
glob_optimal_start, glob_look_poles, glob_log10abserr, glob_max_sec,
glob_warned2, glob_last_good_h, glob_disp_incr, djd_debug2,
glob_display_flag, array_const_1, array_const_0D0, array_y, array_x,
array_norms, array_y_init, array_tmp0, array_tmp1, array_tmp2,
array_1st_rel_error, array_tmp1_a1, array_tmp1_a2, array_type_pole,
array_m1, array_pole, array_last_rel_error, array_y_set_initial,
array_poles, array_y_higher_work, array_complex_pole, array_y_higher,
array_real_pole, array_y_higher_work2, glob_last;
array_tmp1_a1[1] := sinh(array_x[1]);
array_tmp1_a2[1] := cosh(array_x[1]);
array_tmp1[1] := array_tmp1_a1[1]/array_tmp1_a2[1];
array_tmp2[1] := array_const_0D0[1] + array_tmp1[1];
if not array_y_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp2[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_a1[2] := att(1, array_tmp1_a2, array_x, 1);
array_tmp1_a2[2] := att(1, array_tmp1_a1, array_x, 1);
array_tmp1[2] := (
array_tmp1_a1[2] - ats(2, array_tmp1_a2, array_tmp1, 2))/
array_tmp1_a2[1];
array_tmp2[2] := array_const_0D0[2] + array_tmp1[2];
if not array_y_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp2[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_a1[3] := att(2, array_tmp1_a2, array_x, 1);
array_tmp1_a2[3] := att(2, array_tmp1_a1, array_x, 1);
array_tmp1[3] := (
array_tmp1_a1[3] - ats(3, array_tmp1_a2, array_tmp1, 2))/
array_tmp1_a2[1];
array_tmp2[3] := array_const_0D0[3] + array_tmp1[3];
if not array_y_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp2[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_a1[4] := att(3, array_tmp1_a2, array_x, 1);
array_tmp1_a2[4] := att(3, array_tmp1_a1, array_x, 1);
array_tmp1[4] := (
array_tmp1_a1[4] - ats(4, array_tmp1_a2, array_tmp1, 2))/
array_tmp1_a2[1];
array_tmp2[4] := array_const_0D0[4] + array_tmp1[4];
if not array_y_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp2[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_a1[5] := att(4, array_tmp1_a2, array_x, 1);
array_tmp1_a2[5] := att(4, array_tmp1_a1, array_x, 1);
array_tmp1[5] := (
array_tmp1_a1[5] - ats(5, array_tmp1_a2, array_tmp1, 2))/
array_tmp1_a2[1];
array_tmp2[5] := array_const_0D0[5] + array_tmp1[5];
if not array_y_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp2[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_a1[kkk] := att(kkk - 1, array_tmp1_a2, array_x, 1);
array_tmp1_a2[kkk] := att(kkk - 1, array_tmp1_a1, array_x, 1);
array_tmp1[kkk] := (
array_tmp1_a1[kkk] - ats(kkk, array_tmp1_a2, array_tmp1, 2))/
array_tmp1_a2[1];
array_tmp2[kkk] := array_const_0D0[kkk] + array_tmp1[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_tmp2[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)
> 2.0 + log(cosh((x)))
> end;
exact_soln_y := proc(x) 2.0 + log(cosh(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_max_terms,
> DEBUGMASSIVE,
> DEBUGL,
> INFO,
> glob_iolevel,
> ALWAYS,
> #Top Generate Globals Decl
> glob_normmax,
> glob_warned,
> glob_max_rel_trunc_err,
> glob_max_iter,
> glob_abserr,
> glob_log10_relerr,
> glob_max_opt_iter,
> glob_iter,
> glob_max_trunc_err,
> days_in_year,
> sec_in_min,
> glob_hmin,
> glob_clock_sec,
> glob_percent_done,
> glob_max_hours,
> glob_relerr,
> glob_hmin_init,
> glob_reached_optimal_h,
> glob_not_yet_start_msg,
> glob_initial_pass,
> glob_not_yet_finished,
> glob_almost_1,
> glob_log10_abserr,
> glob_large_float,
> glob_hmax,
> glob_clock_start_sec,
> years_in_century,
> hours_in_day,
> glob_html_log,
> glob_optimal_expect_sec,
> glob_max_minutes,
> centuries_in_millinium,
> glob_log10normmin,
> glob_smallish_float,
> glob_dump_analytic,
> djd_debug,
> glob_dump,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_curr_iter_when_opt,
> glob_small_float,
> glob_optimal_clock_start_sec,
> glob_no_eqs,
> glob_h,
> glob_optimal_done,
> min_in_hour,
> glob_subiter_method,
> glob_log10relerr,
> glob_start,
> glob_orig_start_sec,
> glob_unchanged_h_cnt,
> glob_optimal_start,
> glob_look_poles,
> glob_log10abserr,
> glob_max_sec,
> glob_warned2,
> glob_last_good_h,
> glob_disp_incr,
> djd_debug2,
> glob_display_flag,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> #END CONST
> array_y,
> array_x,
> array_norms,
> array_y_init,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_1st_rel_error,
> array_tmp1_a1,
> array_tmp1_a2,
> array_type_pole,
> array_m1,
> array_pole,
> array_last_rel_error,
> array_y_set_initial,
> array_poles,
> array_y_higher_work,
> array_complex_pole,
> array_y_higher,
> array_real_pole,
> array_y_higher_work2,
> glob_last;
> glob_last;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> glob_iolevel := INFO;
> glob_max_terms := 30;
> DEBUGMASSIVE := 4;
> DEBUGL := 3;
> INFO := 2;
> glob_iolevel := 5;
> ALWAYS := 1;
> glob_normmax := 0.0;
> glob_warned := false;
> glob_max_rel_trunc_err := 0.1e-10;
> glob_max_iter := 1000;
> glob_abserr := 0.1e-10;
> glob_log10_relerr := 0.1e-10;
> glob_max_opt_iter := 10;
> glob_iter := 0;
> glob_max_trunc_err := 0.1e-10;
> days_in_year := 365.0;
> sec_in_min := 60.0;
> glob_hmin := 0.00000000001;
> glob_clock_sec := 0.0;
> glob_percent_done := 0.0;
> glob_max_hours := 0.0;
> glob_relerr := 0.1e-10;
> glob_hmin_init := 0.001;
> glob_reached_optimal_h := false;
> glob_not_yet_start_msg := true;
> glob_initial_pass := true;
> glob_not_yet_finished := true;
> glob_almost_1 := 0.9990;
> glob_log10_abserr := 0.1e-10;
> glob_large_float := 9.0e100;
> glob_hmax := 1.0;
> glob_clock_start_sec := 0.0;
> years_in_century := 100.0;
> hours_in_day := 24.0;
> glob_html_log := true;
> glob_optimal_expect_sec := 0.1;
> glob_max_minutes := 0.0;
> centuries_in_millinium := 10.0;
> glob_log10normmin := 0.1;
> glob_smallish_float := 0.1e-100;
> glob_dump_analytic := false;
> djd_debug := true;
> glob_dump := false;
> MAX_UNCHANGED := 10;
> glob_current_iter := 0;
> glob_curr_iter_when_opt := 0;
> glob_small_float := 0.1e-50;
> glob_optimal_clock_start_sec := 0.0;
> glob_no_eqs := 0;
> glob_h := 0.1;
> glob_optimal_done := false;
> min_in_hour := 60.0;
> glob_subiter_method := 3;
> glob_log10relerr := 0.0;
> glob_start := 0;
> glob_orig_start_sec := 0.0;
> glob_unchanged_h_cnt := 0;
> glob_optimal_start := 0.0;
> glob_look_poles := false;
> glob_log10abserr := 0.0;
> glob_max_sec := 10000.0;
> glob_warned2 := false;
> glob_last_good_h := 0.1;
> glob_disp_incr := 0.1;
> djd_debug2 := true;
> glob_display_flag := 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/tanhpostode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = tanh ( x ) ;");
> 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 := 0.1;");
> omniout_str(ALWAYS,"x_end := 10.0 ;");
> omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);");
> omniout_str(ALWAYS,"glob_h := 0.00001 ;");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 10;");
> omniout_str(ALWAYS,"#END SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK");
> omniout_str(ALWAYS,"glob_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,"2.0 + log(cosh((x)))");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"");
> omniout_str(ALWAYS,"#END USER DEF BLOCK");
> omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################");
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_small_float := 1.0e-200;
> glob_smallish_float := 1.0e-64;
> glob_large_float := 1.0e100;
> glob_almost_1 := 0.99;
> 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_y:= Array(1..(max_terms + 1),[]);
> array_x:= Array(1..(max_terms + 1),[]);
> array_norms:= Array(1..(max_terms + 1),[]);
> array_y_init:= Array(1..(max_terms + 1),[]);
> array_tmp0:= Array(1..(max_terms + 1),[]);
> array_tmp1:= Array(1..(max_terms + 1),[]);
> array_tmp2:= Array(1..(max_terms + 1),[]);
> array_1st_rel_error:= Array(1..(max_terms + 1),[]);
> array_tmp1_a1:= Array(1..(max_terms + 1),[]);
> array_tmp1_a2:= Array(1..(max_terms + 1),[]);
> array_type_pole:= Array(1..(max_terms + 1),[]);
> array_m1:= Array(1..(max_terms + 1),[]);
> array_pole:= Array(1..(max_terms + 1),[]);
> array_last_rel_error:= Array(1..(max_terms + 1),[]);
> array_y_set_initial := Array(1..(2+ 1) ,(1..max_terms+ 1),[]);
> array_poles := Array(1..(1+ 1) ,(1..3+ 1),[]);
> array_y_higher_work := Array(1..(2+ 1) ,(1..max_terms+ 1),[]);
> array_complex_pole := Array(1..(1+ 1) ,(1..3+ 1),[]);
> array_y_higher := 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),[]);
> 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_norms[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_y_init[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_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_tmp1_a1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp1_a2[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_type_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_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_last_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=2 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_y_set_initial[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=1 do # do number 2
> term := 1;
> while term <= 3 do # do number 3
> array_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=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_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[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
> ;
> #BEGIN ARRAYS DEFINED AND INITIALIZATED
> array_x := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_y := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_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_tmp1_a2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp1_a2[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp1_a1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp1_a1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_const_1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_const_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_const_1[1] := 1;
> array_const_0D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_const_0D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_const_0D0[1] := 0.0;
> array_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 := 0.1;
> x_end := 10.0 ;
> array_y_init[0 + 1] := exact_soln_y(x_start);
> glob_h := 0.00001 ;
> glob_look_poles := true;
> glob_max_iter := 10;
> #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 ) = tanh ( x ) ;");
> 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,"2012-06-13T19:51:18-05:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"tanh")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = tanh ( x ) ;")
> ;
> 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,"tanh diffeq.mxt")
> ;
> logitem_str(html_log_file,"tanh maple results")
> ;
> logitem_str(html_log_file,"Test of revised logic - mostly affecting systems of eqs")
> ;
> logend(html_log_file)
> ;
> ;
> fi;# end if 2
> ;
> if glob_html_log then # if number 2
> fclose(html_log_file);
> fi;# end if 2
> ;
> ;;
> #END OUTFILEMAIN
> # End Function number 8
> end;
mainprog := proc()
local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff,
term_no, html_log_file, rows, r_order, sub_iter, calc_term, iii, temp_sum,
current_iter, x_start, x_end, it, log10norm, max_terms, opt_iter, tmp;
global glob_max_terms, DEBUGMASSIVE, DEBUGL, INFO, glob_iolevel, ALWAYS,
glob_normmax, glob_warned, glob_max_rel_trunc_err, glob_max_iter,
glob_abserr, glob_log10_relerr, glob_max_opt_iter, glob_iter,
glob_max_trunc_err, days_in_year, sec_in_min, glob_hmin, glob_clock_sec,
glob_percent_done, glob_max_hours, glob_relerr, glob_hmin_init,
glob_reached_optimal_h, glob_not_yet_start_msg, glob_initial_pass,
glob_not_yet_finished, glob_almost_1, glob_log10_abserr, glob_large_float,
glob_hmax, glob_clock_start_sec, years_in_century, hours_in_day,
glob_html_log, glob_optimal_expect_sec, glob_max_minutes,
centuries_in_millinium, glob_log10normmin, glob_smallish_float,
glob_dump_analytic, djd_debug, glob_dump, MAX_UNCHANGED, glob_current_iter,
glob_curr_iter_when_opt, glob_small_float, glob_optimal_clock_start_sec,
glob_no_eqs, glob_h, glob_optimal_done, min_in_hour, glob_subiter_method,
glob_log10relerr, glob_start, glob_orig_start_sec, glob_unchanged_h_cnt,
glob_optimal_start, glob_look_poles, glob_log10abserr, glob_max_sec,
glob_warned2, glob_last_good_h, glob_disp_incr, djd_debug2,
glob_display_flag, array_const_1, array_const_0D0, array_y, array_x,
array_norms, array_y_init, array_tmp0, array_tmp1, array_tmp2,
array_1st_rel_error, array_tmp1_a1, array_tmp1_a2, array_type_pole,
array_m1, array_pole, array_last_rel_error, array_y_set_initial,
array_poles, array_y_higher_work, array_complex_pole, array_y_higher,
array_real_pole, array_y_higher_work2, glob_last;
glob_last;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
glob_iolevel := INFO;
glob_max_terms := 30;
DEBUGMASSIVE := 4;
DEBUGL := 3;
INFO := 2;
glob_iolevel := 5;
ALWAYS := 1;
glob_normmax := 0.;
glob_warned := false;
glob_max_rel_trunc_err := 0.1*10^(-10);
glob_max_iter := 1000;
glob_abserr := 0.1*10^(-10);
glob_log10_relerr := 0.1*10^(-10);
glob_max_opt_iter := 10;
glob_iter := 0;
glob_max_trunc_err := 0.1*10^(-10);
days_in_year := 365.0;
sec_in_min := 60.0;
glob_hmin := 0.1*10^(-10);
glob_clock_sec := 0.;
glob_percent_done := 0.;
glob_max_hours := 0.;
glob_relerr := 0.1*10^(-10);
glob_hmin_init := 0.001;
glob_reached_optimal_h := false;
glob_not_yet_start_msg := true;
glob_initial_pass := true;
glob_not_yet_finished := true;
glob_almost_1 := 0.9990;
glob_log10_abserr := 0.1*10^(-10);
glob_large_float := 0.90*10^101;
glob_hmax := 1.0;
glob_clock_start_sec := 0.;
years_in_century := 100.0;
hours_in_day := 24.0;
glob_html_log := true;
glob_optimal_expect_sec := 0.1;
glob_max_minutes := 0.;
centuries_in_millinium := 10.0;
glob_log10normmin := 0.1;
glob_smallish_float := 0.1*10^(-100);
glob_dump_analytic := false;
djd_debug := true;
glob_dump := false;
MAX_UNCHANGED := 10;
glob_current_iter := 0;
glob_curr_iter_when_opt := 0;
glob_small_float := 0.1*10^(-50);
glob_optimal_clock_start_sec := 0.;
glob_no_eqs := 0;
glob_h := 0.1;
glob_optimal_done := false;
min_in_hour := 60.0;
glob_subiter_method := 3;
glob_log10relerr := 0.;
glob_start := 0;
glob_orig_start_sec := 0.;
glob_unchanged_h_cnt := 0;
glob_optimal_start := 0.;
glob_look_poles := false;
glob_log10abserr := 0.;
glob_max_sec := 10000.0;
glob_warned2 := false;
glob_last_good_h := 0.1;
glob_disp_incr := 0.1;
djd_debug2 := true;
glob_display_flag := 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/tanhpostode.ode#################");
omniout_str(ALWAYS, "diff ( y , x , 1 ) = tanh ( x ) ;");
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 := 0.1;");
omniout_str(ALWAYS, "x_end := 10.0 ;");
omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);");
omniout_str(ALWAYS, "glob_h := 0.00001 ;");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 10;");
omniout_str(ALWAYS, "#END SECOND INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK");
omniout_str(ALWAYS, "glob_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, "2.0 + log(cosh((x)))");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "");
omniout_str(ALWAYS, "#END USER DEF BLOCK");
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################");
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_small_float := 0.10*10^(-199);
glob_smallish_float := 0.10*10^(-63);
glob_large_float := 0.10*10^101;
glob_almost_1 := 0.99;
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_y := Array(1 .. max_terms + 1, []);
array_x := Array(1 .. max_terms + 1, []);
array_norms := Array(1 .. max_terms + 1, []);
array_y_init := Array(1 .. max_terms + 1, []);
array_tmp0 := Array(1 .. max_terms + 1, []);
array_tmp1 := Array(1 .. max_terms + 1, []);
array_tmp2 := Array(1 .. max_terms + 1, []);
array_1st_rel_error := Array(1 .. max_terms + 1, []);
array_tmp1_a1 := Array(1 .. max_terms + 1, []);
array_tmp1_a2 := Array(1 .. max_terms + 1, []);
array_type_pole := Array(1 .. max_terms + 1, []);
array_m1 := Array(1 .. max_terms + 1, []);
array_pole := Array(1 .. max_terms + 1, []);
array_last_rel_error := Array(1 .. max_terms + 1, []);
array_y_set_initial := Array(1 .. 3, 1 .. max_terms + 1, []);
array_poles := Array(1 .. 2, 1 .. 4, []);
array_y_higher_work := Array(1 .. 3, 1 .. max_terms + 1, []);
array_complex_pole := Array(1 .. 2, 1 .. 4, []);
array_y_higher := 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, []);
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_norms[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_y_init[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp0[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_1st_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1_a1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1_a2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_type_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_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_last_rel_error[term] := 0.; term := term + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do array_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 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_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[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;
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_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_tmp1_a2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp1_a2[term] := 0.; term := term + 1
end do;
array_tmp1_a1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp1_a1[term] := 0.; term := term + 1
end do;
array_const_1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1[term] := 0.; term := term + 1
end do;
array_const_1[1] := 1;
array_const_0D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D0[term] := 0.; term := term + 1
end do;
array_const_0D0[1] := 0.;
array_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 := 0.1;
x_end := 10.0;
array_y_init[1] := exact_soln_y(x_start);
glob_h := 0.00001;
glob_look_poles := true;
glob_max_iter := 10;
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 ) = tanh ( x ) ;");
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, "2012-06-13T19:51:18-05:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file, "tanh");
logitem_str(html_log_file, "diff ( y , x , 1 ) = tanh ( x ) ;");
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,
"tanh diffeq.mxt");
logitem_str(html_log_file,
"tanh 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/tanhpostode.ode#################
diff ( y , x , 1 ) = tanh ( x ) ;
!
#BEGIN FIRST INPUT BLOCK
Digits := 32;
max_terms := 30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := 0.1;
x_end := 10.0 ;
array_y_init[0 + 1] := exact_soln_y(x_start);
glob_h := 0.00001 ;
glob_look_poles := true;
glob_max_iter := 10;
#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)
2.0 + log(cosh((x)))
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
x[1] = 0.1
y[1] (analytic) = 2.004991688821646530267711591083
y[1] (numeric) = 2.004991688821646530267711591083
absolute error = 0
relative error = 0 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.579
Order of pole = 2.182
x[1] = 0.1001
y[1] (analytic) = 2.0050016605714075794414904402522
y[1] (numeric) = 2.005001660571407579441491153478
absolute error = 7.132258e-25
relative error = 3.5572329640701495092483851287013e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.579
Order of pole = 2.182
x[1] = 0.1002
y[1] (analytic) = 2.0050116422216340691845743428297
y[1] (numeric) = 2.0050116422216340691845757691552
absolute error = 1.4263255e-24
relative error = 7.1138015858081183187292778976618e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.579
Order of pole = 2.182
x[1] = 0.1003
y[1] (analytic) = 2.0050216337721283555045470134972
y[1] (numeric) = 2.0050216337721283555045491527963
absolute error = 2.1392991e-24
relative error = 1.0669705822451651118715443977986e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.579
Order of pole = 2.182
x[1] = 0.1004
y[1] (analytic) = 2.0050316352226926023278905495693
y[1] (numeric) = 2.0050316352226926023278934017159
absolute error = 2.8521466e-24
relative error = 1.4224945631260431379379137205412e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1005
y[1] (analytic) = 2.0050416465731287815155753142178
y[1] (numeric) = 2.0050416465731287815155788790854
absolute error = 3.5648676e-24
relative error = 1.7779518974545053391966274618687e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1006
y[1] (analytic) = 2.0050516678232386728786644844929
y[1] (numeric) = 2.0050516678232386728786687619551
absolute error = 4.2774622e-24
relative error = 2.1333426308379263544401755597079e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3.8MB, alloc=2.8MB, time=0.41
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1007
y[1] (analytic) = 2.0050616989728238641939332615446
y[1] (numeric) = 2.0050616989728238641939382514747
absolute error = 4.9899301e-24
relative error = 2.4886666093897753625948645582338e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1008
y[1] (analytic) = 2.0050717400216857512195027404405
y[1] (numeric) = 2.0050717400216857512195084427121
absolute error = 5.7022716e-24
relative error = 2.8439239784698812682461544677392e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1009
y[1] (analytic) = 2.0050817909696255377104884369802
y[1] (numeric) = 2.0050817909696255377104948514661
absolute error = 6.4144859e-24
relative error = 3.1991143348312275295722173302438e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.101
y[1] (analytic) = 2.0050918518164442354346634688945
y[1] (numeric) = 2.0050918518164442354346705954681
absolute error = 7.1265736e-24
relative error = 3.5542379734593828815107515156484e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1011
y[1] (analytic) = 2.0051019225619426641881363888294
y[1] (numeric) = 2.0051019225619426641881442273635
absolute error = 7.8385341e-24
relative error = 3.9092945908627983363502498688350e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1012
y[1] (analytic) = 2.0051120032059214518110436664963
y[1] (numeric) = 2.0051120032059214518110522168637
absolute error = 8.5503674e-24
relative error = 4.2642841827933002554293390760419e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1013
y[1] (analytic) = 2.0051220937481810342032568173809
y[1] (numeric) = 2.0051220937481810342032660794546
absolute error = 9.2620737e-24
relative error = 4.6192068447494768318312942108277e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1014
y[1] (analytic) = 2.0051321941885216553401041753948
y[1] (numeric) = 2.0051321941885216553401141490472
absolute error = 9.9736524e-24
relative error = 4.9740622732539306814807479994332e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1015
y[1] (analytic) = 2.0051423045267433672881073068493
y[1] (numeric) = 2.0051423045267433672881179919529
absolute error = 1.06851036e-23
relative error = 5.3288505139399140304170294328167e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1016
y[1] (analytic) = 2.0051524247626460302207320631358
y[1] (numeric) = 2.0051524247626460302207434595632
absolute error = 1.13964274e-23
relative error = 5.6835716124418911867699223810846e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1017
y[1] (analytic) = 2.0051625548960293124341542694885
y[1] (numeric) = 2.0051625548960293124341663771118
absolute error = 1.21076233e-23
relative error = 6.0382253151679258431471680782166e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=7.6MB, alloc=3.8MB, time=0.86
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1018
y[1] (analytic) = 2.0051726949266926903630400472036
y[1] (numeric) = 2.005172694926692690363052865895
absolute error = 1.28186914e-23
relative error = 6.3928116677594394553528525800880e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1019
y[1] (analytic) = 2.0051828448544354485963407666917
y[1] (numeric) = 2.0051828448544354485963542963234
absolute error = 1.35296317e-23
relative error = 6.7473306659883040050478492734445e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.102
y[1] (analytic) = 2.005193004679056679893102628732
y[1] (numeric) = 2.0051930046790566798931168691757
absolute error = 1.42404437e-23
relative error = 7.1017820562760588284701436957480e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1021
y[1] (analytic) = 2.0052031744003552851982908712955
y[1] (numeric) = 2.0052031744003552851983058224232
absolute error = 1.49511277e-23
relative error = 7.4561659840135903061284721263975e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1022
y[1] (analytic) = 2.005213354018129973658628599308
y[1] (numeric) = 2.0052133540181299736586442609914
absolute error = 1.56616834e-23
relative error = 7.8104822953709474257389868170940e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1023
y[1] (analytic) = 2.0052235435321792626384502347114
y[1] (numeric) = 2.0052235435321792626384666068222
absolute error = 1.63721108e-23
relative error = 8.1647309861327014571953847691243e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1024
y[1] (analytic) = 2.0052337429423014777355695841896
y[1] (numeric) = 2.0052337429423014777355866665992
absolute error = 1.70824096e-23
relative error = 8.5189119024771610518793268421843e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1025
y[1] (analytic) = 2.0052439522482947527971625219144
y[1] (numeric) = 2.0052439522482947527971803144942
absolute error = 1.77925798e-23
relative error = 8.8730250401956452035126692777886e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1026
y[1] (analytic) = 2.0052541714499570299356642846714
y[1] (numeric) = 2.0052541714499570299356827872927
absolute error = 1.85026213e-23
relative error = 9.2270703452127190874999757685136e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1027
y[1] (analytic) = 2.005264400547086059544681376719
y[1] (numeric) = 2.0052644005470860595447005892529
absolute error = 1.92125339e-23
relative error = 9.5810477135874662513650838650992e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1028
y[1] (analytic) = 2.0052746395394794003149180817324
y[1] (numeric) = 2.0052746395394794003149380040499
absolute error = 1.99223175e-23
relative error = 9.9349570912517261962225793019800e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=3.9MB, time=1.33
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1029
y[1] (analytic) = 2.0052848884269344192501175791839
y[1] (numeric) = 2.005284888426934419250138211156
absolute error = 2.06319721e-23
relative error = 1.0288798474008825123464225836230e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.103
y[1] (analytic) = 2.0052951472092482916830176625069
y[1] (numeric) = 2.0052951472092482916830390040044
absolute error = 2.13414975e-23
relative error = 1.0642571757928390398951857695528e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1031
y[1] (analytic) = 2.0053054158862180012913210563877
y[1] (numeric) = 2.0053054158862180012913431072813
absolute error = 2.20508936e-23
relative error = 1.0996276888952050964180420073345e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1032
y[1] (analytic) = 2.0053156944576403401136803305292
y[1] (numeric) = 2.0053156944576403401137030906897
absolute error = 2.27601605e-23
relative error = 1.1349913912759624339081092941424e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1033
y[1] (analytic) = 2.0053259829233119085656974072284
y[1] (numeric) = 2.0053259829233119085657208765261
absolute error = 2.34692977e-23
relative error = 1.1703482575828928329342320242251e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1034
y[1] (analytic) = 2.0053362812830291154559376601024
y[1] (numeric) = 2.0053362812830291154559618384077
absolute error = 2.41783053e-23
relative error = 1.2056982923846837231783113926789e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1035
y[1] (analytic) = 2.0053465895365881780019586013037
y[1] (numeric) = 2.0053465895365881780019834884868
absolute error = 2.48871831e-23
relative error = 1.2410414852901379486094013902731e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1036
y[1] (analytic) = 2.0053569076837851218463531545549
y[1] (numeric) = 2.0053569076837851218463787504859
absolute error = 2.55959310e-23
relative error = 1.2763778308951324390752892164616e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1037
y[1] (analytic) = 2.0053672357244157810728075113359
y[1] (numeric) = 2.0053672357244157810728338158849
absolute error = 2.63045490e-23
relative error = 1.3117073287824903107490465985419e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1038
y[1] (analytic) = 2.0053775736582757982221735675529
y[1] (numeric) = 2.0053775736582757982222005805898
absolute error = 2.70130369e-23
relative error = 1.3470299685620762510719520695331e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1039
y[1] (analytic) = 2.0053879214851606243085559380149
y[1] (numeric) = 2.0053879214851606243085836594096
absolute error = 2.77213947e-23
relative error = 1.3823457498173193958359094187509e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=15.2MB, alloc=4.0MB, time=1.79
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.104
y[1] (analytic) = 2.0053982792048655188354135460439
y[1] (numeric) = 2.005398279204865518835441975666
absolute error = 2.84296221e-23
relative error = 1.4176546571722531348242799813898e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1041
y[1] (analytic) = 2.0054086468171855498116757855391
y[1] (numeric) = 2.0054086468171855498117049232583
absolute error = 2.91377192e-23
relative error = 1.4529566951975057876470683185447e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1042
y[1] (analytic) = 2.0054190243219155937678732528169
y[1] (numeric) = 2.0054190243219155937679030985026
absolute error = 2.98456857e-23
relative error = 1.4882518485178729024105607495173e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1043
y[1] (analytic) = 2.0054294117188503357722830455425
y[1] (numeric) = 2.005429411718850335772313599064
absolute error = 3.05535215e-23
relative error = 1.5235401117316129154541398256880e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1044
y[1] (analytic) = 2.0054398090077842694470886260702
y[1] (numeric) = 2.0054398090077842694471198872968
absolute error = 3.12612266e-23
relative error = 1.5588214844237520137635478884502e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1045
y[1] (analytic) = 2.005450216188511696984554246504
y[1] (numeric) = 2.0054502161885116969845862153048
absolute error = 3.19688008e-23
relative error = 1.5940959562067205492471100263130e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1046
y[1] (analytic) = 2.0054606332608267291632139327897
y[1] (numeric) = 2.0054606332608267291632466090337
absolute error = 3.26762440e-23
relative error = 1.6293635216797688404299933618079e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1047
y[1] (analytic) = 2.0054710602245232853640750251471
y[1] (numeric) = 2.0054710602245232853641084087032
absolute error = 3.33835561e-23
relative error = 1.6646241754424783926990152299655e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1048
y[1] (analytic) = 2.0054814970793950935868362721478
y[1] (numeric) = 2.0054814970793950935868703628849
absolute error = 3.40907371e-23
relative error = 1.6998779170810958789350276833712e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1049
y[1] (analytic) = 2.0054919438252356904661204757434
y[1] (numeric) = 2.0054919438252356904661552735301
absolute error = 3.47977867e-23
relative error = 1.7351247312231725801474354098869e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.105
y[1] (analytic) = 2.0055024004618384212877216845437
y[1] (numeric) = 2.0055024004618384212877571892487
absolute error = 3.55047050e-23
relative error = 1.7703646224419265704532625725496e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=19.0MB, alloc=4.0MB, time=2.27
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1051
y[1] (analytic) = 2.0055128669889964400048669326467
y[1] (numeric) = 2.0055128669889964400049031441383
absolute error = 3.62114916e-23
relative error = 1.8055975703794215553106877504202e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1052
y[1] (analytic) = 2.0055233434065027092544925213145
y[1] (numeric) = 2.0055233434065027092545294394611
absolute error = 3.69181466e-23
relative error = 1.8408235796095145363906040283433e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1053
y[1] (analytic) = 2.0055338297141500003735348407917
y[1] (numeric) = 2.0055338297141500003735724654617
absolute error = 3.76246700e-23
relative error = 1.8760426497199834274157768608896e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1054
y[1] (analytic) = 2.0055443259117308934152357295584
y[1] (numeric) = 2.0055443259117308934152740606198
absolute error = 3.83310614e-23
relative error = 1.9112547603541248033988037297436e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1055
y[1] (analytic) = 2.0055548319990377771654623683055
y[1] (numeric) = 2.0055548319990377771655014056263
absolute error = 3.90373208e-23
relative error = 1.9464599111004873927939423087178e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1056
y[1] (analytic) = 2.0055653479758628491590417059232
y[1] (numeric) = 2.0055653479758628491590814493714
absolute error = 3.97434482e-23
relative error = 1.9816581015478492304466498418848e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1057
y[1] (analytic) = 2.0055758738419981156961094147862
y[1] (numeric) = 2.0055758738419981156961498642296
absolute error = 4.04494434e-23
relative error = 2.0168493213130195408027130873422e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1058
y[1] (analytic) = 2.0055864095972353918584733726188
y[1] (numeric) = 2.005586409597235391858514527925
absolute error = 4.11553062e-23
relative error = 2.0520335600132464463059445385729e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1059
y[1] (analytic) = 2.0055969552413663015259916682207
y[1] (numeric) = 2.0055969552413663015260335292573
absolute error = 4.18610366e-23
relative error = 2.0872108172383107973646411861770e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.106
y[1] (analytic) = 2.0056075107741822773929651283328
y[1] (numeric) = 2.0056075107741822773930076949672
absolute error = 4.25666344e-23
relative error = 2.1223810826061825925114324645475e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1061
y[1] (analytic) = 2.005618076195474560984544362918
y[1] (numeric) = 2.0056180761954745609845876350176
absolute error = 4.32720996e-23
relative error = 2.1575443557072602711541585031733e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
memory used=22.8MB, alloc=4.1MB, time=2.78
x[1] = 0.1062
y[1] (analytic) = 2.0056286515050342026731513261319
y[1] (numeric) = 2.0056286515050342026731953035639
absolute error = 4.39774320e-23
relative error = 2.1927006261602368720680212863962e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1063
y[1] (analytic) = 2.0056392367026520616949153902539
y[1] (numeric) = 2.0056392367026520616949600728855
absolute error = 4.46826316e-23
relative error = 2.2278498935561293931258073396256e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1064
y[1] (analytic) = 2.0056498317881188061661239298496
y[1] (numeric) = 2.0056498317881188061661693175477
absolute error = 4.53876981e-23
relative error = 2.2629921425284398681592026131345e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1065
y[1] (analytic) = 2.0056604367612249130996874134296
y[1] (numeric) = 2.0056604367612249130997335060612
absolute error = 4.60926316e-23
relative error = 2.2981273776547727576816662546405e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1066
y[1] (analytic) = 2.0056710516217606684216189998712
y[1] (numeric) = 2.005671051621760668421665797303
absolute error = 4.67974318e-23
relative error = 2.3332555835694082861653717880982e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1067
y[1] (analytic) = 2.005681676369516166987528636864
y[1] (numeric) = 2.0056816763695161669875761389628
absolute error = 4.75020988e-23
relative error = 2.3683767648505188297238613455610e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1068
y[1] (analytic) = 2.0056923110042813125991316586407
y[1] (numeric) = 2.005692311004281312599179865273
absolute error = 4.82066323e-23
relative error = 2.4034909061331640634193335739312e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1069
y[1] (analytic) = 2.00570295552584581802077188025
y[1] (numeric) = 2.0057029555258458180208207912823
absolute error = 4.89110323e-23
relative error = 2.4385980070103019996696588327942e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.107
y[1] (analytic) = 2.0057136099339992049959591856279
y[1] (numeric) = 2.0057136099339992049960088009265
absolute error = 4.96152986e-23
relative error = 2.4736980571036091430664367658516e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1071
y[1] (analytic) = 2.0057242742285308042639216067201
y[1] (numeric) = 2.0057242742285308042639719261513
absolute error = 5.03194312e-23
relative error = 2.5087910560066662294583484563222e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1072
y[1] (analytic) = 2.0057349484092297555761718909074
y[1] (numeric) = 2.0057349484092297555762229143372
absolute error = 5.10234298e-23
relative error = 2.5438769883561752855488232339165e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1073
y[1] (analytic) = 2.0057456324758850077130885539809
y[1] (numeric) = 2.0057456324758850077131402812754
absolute error = 5.17272945e-23
relative error = 2.5789558587320974762943224882891e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=26.7MB, alloc=4.1MB, time=3.27
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1074
y[1] (analytic) = 2.0057563264282853185005114159166
y[1] (numeric) = 2.0057563264282853185005638469416
absolute error = 5.24310250e-23
relative error = 2.6140276517719183474691531427086e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1075
y[1] (analytic) = 2.0057670302662192548263516166896
y[1] (numeric) = 2.005767030266219254826404751311
absolute error = 5.31346214e-23
relative error = 2.6490923720561707521660848178629e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1076
y[1] (analytic) = 2.0057777439894751926572161093735
y[1] (numeric) = 2.005777743989475192657269947457
absolute error = 5.38380835e-23
relative error = 2.6841500092087222609675408820844e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1077
y[1] (analytic) = 2.005788467597841317055046627762
y[1] (numeric) = 2.0057884675978413170551011691732
absolute error = 5.45414112e-23
relative error = 2.7192005578394571341228284425335e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1078
y[1] (analytic) = 2.0057992010911056221937731257512
y[1] (numeric) = 2.0057992010911056221938283703554
absolute error = 5.52446042e-23
relative error = 2.7542440025875116930365138121873e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1079
y[1] (analytic) = 2.0058099444690559113759816857166
y[1] (numeric) = 2.0058099444690559113760376333793
absolute error = 5.59476627e-23
relative error = 2.7892803530201620946450986077392e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.108
y[1] (analytic) = 2.00582069773147979704959689312
y[1] (numeric) = 2.0058206977314797970496535437063
absolute error = 5.66505863e-23
relative error = 2.8243095887917615774733287564757e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1081
y[1] (analytic) = 2.0058314608781647008245786745726
y[1] (numeric) = 2.0058314608781647008246360279476
absolute error = 5.73533750e-23
relative error = 2.8593317094991798686662445753067e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1082
y[1] (analytic) = 2.0058422339088978534896335965866
y[1] (numeric) = 2.0058422339088978534896916526155
absolute error = 5.80560289e-23
relative error = 2.8943467197249577899316390154339e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1083
y[1] (analytic) = 2.0058530168234662950289406222395
y[1] (numeric) = 2.005853016823466295028999380787
absolute error = 5.87585475e-23
relative error = 2.9293545941393021917903593617682e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1084
y[1] (analytic) = 2.005863809621656874638891322973
y[1] (numeric) = 2.005863809621656874638950783904
absolute error = 5.94609310e-23
relative error = 2.9643553423108737700845179212611e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=30.5MB, alloc=4.1MB, time=3.78
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1085
y[1] (analytic) = 2.0058746123032562507448445427515
y[1] (numeric) = 2.0058746123032562507449047059308
absolute error = 6.01631793e-23
relative error = 2.9993489588522837737890484926365e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1086
y[1] (analytic) = 2.0058854248680508910178955117965
y[1] (numeric) = 2.0058854248680508910179563770886
absolute error = 6.08652921e-23
relative error = 3.0343354284058262480924009298243e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1087
y[1] (analytic) = 2.0058962473158270723916594071141
y[1] (numeric) = 2.0058962473158270723917209743834
absolute error = 6.15672693e-23
relative error = 3.0693147455849581185508603011375e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1088
y[1] (analytic) = 2.005907079646370881079069357031
y[1] (numeric) = 2.0059070796463708810791316261419
absolute error = 6.22691109e-23
relative error = 3.1042869099887549351773072846530e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1089
y[1] (analytic) = 2.0059179218594682125891888869509
y[1] (numeric) = 2.0059179218594682125892518577677
absolute error = 6.29708168e-23
relative error = 3.1392519162312787207455816717958e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.109
y[1] (analytic) = 2.0059287739549047717440388035411
y[1] (numeric) = 2.0059287739549047717441024759278
absolute error = 6.36723867e-23
relative error = 3.1742097489564909711801612790364e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1091
y[1] (analytic) = 2.0059396359324660726954385145564
y[1] (numeric) = 2.0059396359324660726955028883771
absolute error = 6.43738207e-23
relative error = 3.2091604127496921378063413671143e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1092
y[1] (analytic) = 2.0059505077919374389418617815074
y[1] (numeric) = 2.005950507791937438941926856626
absolute error = 6.50751186e-23
relative error = 3.2441038972408069826609149599765e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1093
y[1] (analytic) = 2.0059613895331040033453069023749
y[1] (numeric) = 2.0059613895331040033453726786551
absolute error = 6.57762802e-23
relative error = 3.2790401920602124543098754091193e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1094
y[1] (analytic) = 2.0059722811557507081481813215712
y[1] (numeric) = 2.0059722811557507081482477988769
absolute error = 6.64773057e-23
relative error = 3.3139693067791931934914922729782e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1095
y[1] (analytic) = 2.0059831826596623049902006643491
y[1] (numeric) = 2.0059831826596623049902678425438
absolute error = 6.71781947e-23
relative error = 3.3488912210585336292989320163254e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=34.3MB, alloc=4.1MB, time=4.28
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1096
y[1] (analytic) = 2.0059940940446233549253021928516
y[1] (numeric) = 2.0059940940446233549253700717987
absolute error = 6.78789471e-23
relative error = 3.3838059295148668702954396637519e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1097
y[1] (analytic) = 2.0060050153104182284385726809989
y[1] (numeric) = 2.0060050153104182284386412605618
absolute error = 6.85795629e-23
relative error = 3.4187134317502037914780330123356e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1098
y[1] (analytic) = 2.0060159464568311054631907054043
y[1] (numeric) = 2.0060159464568311054632599854462
absolute error = 6.92800419e-23
relative error = 3.4536137173967817639864307885014e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1099
y[1] (analytic) = 2.0060268874836459753973833495071
y[1] (numeric) = 2.0060268874836459753974533298912
absolute error = 6.99803841e-23
relative error = 3.4885067860572487594863183937370e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.11
y[1] (analytic) = 2.0060378383906466371213973181115
y[1] (numeric) = 2.0060378383906466371214679987009
absolute error = 7.06805894e-23
relative error = 3.5233926323495392198650764826895e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1101
y[1] (analytic) = 2.0060487991776166990144844595157
y[1] (numeric) = 2.0060487991776166990145558401732
absolute error = 7.13806575e-23
relative error = 3.5582712409220866655443936758086e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1102
y[1] (analytic) = 2.0060597698443395789719016924132
y[1] (numeric) = 2.0060597698443395789719737730016
absolute error = 7.20805884e-23
relative error = 3.5931426113785782622524702287317e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1103
y[1] (analytic) = 2.0060707503905985044219253347492
y[1] (numeric) = 2.0060707503905985044219981151312
absolute error = 7.27803820e-23
relative error = 3.6280067383380700775246747523367e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1104
y[1] (analytic) = 2.0060817408161765123428798317077
y[1] (numeric) = 2.0060817408161765123429533117459
absolute error = 7.34800382e-23
relative error = 3.6628636164199653940136679860248e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1105
y[1] (analytic) = 2.0060927411208564492801808800067
y[1] (numeric) = 2.0060927411208564492802550595636
absolute error = 7.41795569e-23
relative error = 3.6977132402440149736466226050305e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1106
y[1] (analytic) = 2.0061037513044209713633929456753
y[1] (numeric) = 2.0061037513044209713634678246133
absolute error = 7.48789380e-23
relative error = 3.7325556044303173217243271697027e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1107
y[1] (analytic) = 2.0061147713666525443233011724834
y[1] (numeric) = 2.0061147713666525443233767506648
absolute error = 7.55781814e-23
relative error = 3.7673907035993189509621321253337e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=38.1MB, alloc=4.1MB, time=4.78
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1108
y[1] (analytic) = 2.0061258013073334435089976781943
y[1] (numeric) = 2.0061258013073334435090739554811
absolute error = 7.62772868e-23
relative error = 3.8022185224023501248695583198584e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1109
y[1] (analytic) = 2.0061368411262457539049822358054
y[1] (numeric) = 2.0061368411262457539050592120598
absolute error = 7.69762544e-23
relative error = 3.8370390704148332370875428027682e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.111
y[1] (analytic) = 2.0061478908231713701482773369442
y[1] (numeric) = 2.0061478908231713701483550120281
absolute error = 7.76750839e-23
relative error = 3.8718523322888234379460459527861e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1111
y[1] (analytic) = 2.00615895039789199654555763458
y[1] (numeric) = 2.0061589503978919965456360083551
absolute error = 7.83737751e-23
relative error = 3.9066582976615945262573330799238e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1112
y[1] (analytic) = 2.0061700198501891470902937622115
y[1] (numeric) = 2.0061700198501891470903728345396
absolute error = 7.90723281e-23
relative error = 3.9414569711247469596575397597248e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1113
y[1] (analytic) = 2.0061810991798441454799105266906
y[1] (numeric) = 2.0061810991798441454799902974334
absolute error = 7.97707428e-23
relative error = 3.9762483473008211277957899492043e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1114
y[1] (analytic) = 2.0061921883866381251329594718351
y[1] (numeric) = 2.0061921883866381251330399408539
absolute error = 8.04690188e-23
relative error = 4.0110324058590053440837794794573e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1115
y[1] (analytic) = 2.0062032874703520292063058099849
y[1] (numeric) = 2.0062032874703520292063869771412
absolute error = 8.11671563e-23
relative error = 4.0458091563764073593190681357722e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1116
y[1] (analytic) = 2.0062143964307666106123297186544
y[1] (numeric) = 2.0062143964307666106124115838094
absolute error = 8.18651550e-23
relative error = 4.0805785835075938684696649659751e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1117
y[1] (analytic) = 2.0062255152676624320361419994269
y[1] (numeric) = 2.0062255152676624320362245624419
absolute error = 8.25630150e-23
relative error = 4.1153406918456412422624863564106e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1118
y[1] (analytic) = 2.0062366439808198659528140962414
y[1] (numeric) = 2.0062366439808198659528973569774
absolute error = 8.32607360e-23
relative error = 4.1500954660459284220647399173611e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=41.9MB, alloc=4.1MB, time=5.29
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1119
y[1] (analytic) = 2.0062477825700190946446224702122
y[1] (numeric) = 2.0062477825700190946447064285301
absolute error = 8.39583179e-23
relative error = 4.1848429007332652784430833689513e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.112
y[1] (analytic) = 2.0062589310350401102183073281272
y[1] (numeric) = 2.0062589310350401102183919838879
absolute error = 8.46557607e-23
relative error = 4.2195829955172148947118039738378e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1121
y[1] (analytic) = 2.0062700893756627146223457017627
y[1] (numeric) = 2.0062700893756627146224310548268
absolute error = 8.53530641e-23
relative error = 4.2543157350544601585339597052567e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1122
y[1] (analytic) = 2.0062812575916665196642388751523
y[1] (numeric) = 2.0062812575916665196643249253805
absolute error = 8.60502282e-23
relative error = 4.2890411239396421104590105507581e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1123
y[1] (analytic) = 2.0062924356828309470278141569471
y[1] (numeric) = 2.0062924356828309470279009042
absolute error = 8.67472529e-23
relative error = 4.3237591567988957902055922287475e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1124
y[1] (analytic) = 2.0063036236489352282905409949986
y[1] (numeric) = 2.0063036236489352282906284391365
absolute error = 8.74441379e-23
relative error = 4.3584698182901279610909933963384e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1125
y[1] (analytic) = 2.0063148214897584049408614302956
y[1] (numeric) = 2.0063148214897584049409495711788
absolute error = 8.81408832e-23
relative error = 4.3931731080246087391011606833269e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1126
y[1] (analytic) = 2.0063260292050793283955348873848
y[1] (numeric) = 2.0063260292050793283956237248736
absolute error = 8.88374888e-23
relative error = 4.4278690256138503170482069806643e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1127
y[1] (analytic) = 2.006337246794676660016997298401
y[1] (numeric) = 2.0063372467946766600170868323553
absolute error = 8.95339543e-23
relative error = 4.4625575507327792839320309282671e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1128
y[1] (analytic) = 2.0063484742583288711307345578298
y[1] (numeric) = 2.0063484742583288711308247881097
absolute error = 9.02302799e-23
relative error = 4.4972386929620848134089614147290e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1129
y[1] (analytic) = 2.0063597115958142430426703051279
y[1] (numeric) = 2.0063597115958142430427612315932
absolute error = 9.09264653e-23
relative error = 4.5319124369617198826596601060023e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=45.7MB, alloc=4.1MB, time=5.80
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.113
y[1] (analytic) = 2.0063709588069108670565680323174
y[1] (numeric) = 2.0063709588069108670566596548279
absolute error = 9.16225105e-23
relative error = 4.5665787823445847321999586403732e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1131
y[1] (analytic) = 2.0063822158913966444914475136739
y[1] (numeric) = 2.0063822158913966444915398320892
absolute error = 9.23184153e-23
relative error = 4.6012377187556320802981932686332e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1132
y[1] (analytic) = 2.0063934828490492866990155546223
y[1] (numeric) = 2.006393482849049286699108568802
absolute error = 9.30141797e-23
relative error = 4.6358892458084159299669850450322e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1133
y[1] (analytic) = 2.0064047596796463150811110569547
y[1] (numeric) = 2.0064047596796463150812047667581
absolute error = 9.37098034e-23
relative error = 4.6705333481646158817032963916520e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1134
y[1] (analytic) = 2.0064160463829650611071643974793
y[1] (numeric) = 2.0064160463829650611072588027658
absolute error = 9.44052865e-23
relative error = 4.7051700304225359408731697096291e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1135
y[1] (analytic) = 2.0064273429587826663316711172114
y[1] (numeric) = 2.0064273429587826663317662178402
absolute error = 9.51006288e-23
relative error = 4.7397992822286622359574395575101e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1136
y[1] (analytic) = 2.00643864940687608241167991821
y[1] (numeric) = 2.0064386494068760824117757140402
absolute error = 9.57958302e-23
relative error = 4.7744210982139041958691138508111e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1137
y[1] (analytic) = 2.0064499657270220711242949651665
y[1] (numeric) = 2.0064499657270220711243914560571
absolute error = 9.64908906e-23
relative error = 4.8090354730095275863519525914700e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1138
y[1] (analytic) = 2.0064612919189972043841924888461
y[1] (numeric) = 2.0064612919189972043842896746558
absolute error = 9.71858097e-23
relative error = 4.8436423912793571971169942333795e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1139
y[1] (analytic) = 2.006472627982577864261151688481
y[1] (numeric) = 2.0064726279825778642612495690687
absolute error = 9.78805877e-23
relative error = 4.8782418626071530899036386139361e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.114
y[1] (analytic) = 2.0064839739175402429975999302151
y[1] (numeric) = 2.0064839739175402429976985054395
absolute error = 9.85752244e-23
relative error = 4.9128338766413247652786898164623e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1141
y[1] (analytic) = 2.0064953297236603430261722386928
y[1] (numeric) = 2.0064953297236603430262715084124
absolute error = 9.92697196e-23
relative error = 4.9474184230307517884561006348285e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=49.5MB, alloc=4.1MB, time=6.30
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1142
y[1] (analytic) = 2.006506695400713976987285078886
y[1] (numeric) = 2.0065066954007139769873850429592
absolute error = 9.99640732e-23
relative error = 4.9819954964085703044720607105365e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1143
y[1] (analytic) = 2.0065180709484767677467244252499
y[1] (numeric) = 2.0065180709484767677468250835352
absolute error = 1.006582853e-22
relative error = 5.0165651013757900258810386552502e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1144
y[1] (analytic) = 2.0065294563667241484132481152967
y[1] (numeric) = 2.0065294563667241484133494676523
absolute error = 1.013523556e-22
relative error = 5.0511272225986348394606076930041e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1145
y[1] (analytic) = 2.0065408516552313623562024846721
y[1] (numeric) = 2.006540851655231362356304530956
absolute error = 1.020462839e-22
relative error = 5.0856818497276145179726337399413e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1146
y[1] (analytic) = 2.006552256813773463223153280819
y[1] (numeric) = 2.0065522568137734632232560208894
absolute error = 1.027400704e-22
relative error = 5.1202289923484023734296627258481e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.1147
y[1] (analytic) = 2.0065636718421253149575308523124
y[1] (numeric) = 2.006563671842125314957634286027
absolute error = 1.034337146e-22
relative error = 5.1547686251611792726426489804079e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.182
x[1] = 0.1148
y[1] (analytic) = 2.0065750967400615918162896109405
y[1] (numeric) = 2.0065750967400615918163937381572
absolute error = 1.041272167e-22
relative error = 5.1893007577522520098118423459128e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.182
x[1] = 0.1149
y[1] (analytic) = 2.0065865315073567783875817636147
y[1] (numeric) = 2.0065865315073567783876865841912
absolute error = 1.048205765e-22
relative error = 5.2238253797735956119894750291824e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.182
x[1] = 0.115
y[1] (analytic) = 2.006597976143785169608445311179
y[1] (numeric) = 2.0065979761437851696085508249729
absolute error = 1.055137939e-22
relative error = 5.2583424858612178395873906992785e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.182
x[1] = 0.1151
y[1] (analytic) = 2.0066094306491208707825063111952
y[1] (numeric) = 2.0066094306491208707826125180638
absolute error = 1.062068686e-22
relative error = 5.2928520606844249014844623603661e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.182
x[1] = 0.1152
y[1] (analytic) = 2.0066208950231377975976954017713
y[1] (numeric) = 2.0066208950231377975978023015722
absolute error = 1.068998009e-22
relative error = 5.3273541188141254547574268252961e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=53.4MB, alloc=4.1MB, time=6.80
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.182
x[1] = 0.1153
y[1] (analytic) = 2.0066323692656096761439785835057
y[1] (numeric) = 2.006632369265609676144086176096
absolute error = 1.075925903e-22
relative error = 5.3618486349533421288775239280510e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.182
x[1] = 0.1154
y[1] (analytic) = 2.0066438533763100429311022566086
y[1] (numeric) = 2.0066438533763100429312105418455
absolute error = 1.082852369e-22
relative error = 5.3963356137065866832401167115397e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.182
x[1] = 0.1155
y[1] (analytic) = 2.0066553473550122449063525102689
y[1] (numeric) = 2.0066553473550122449064614880094
absolute error = 1.089777405e-22
relative error = 5.4308150447282535555916914946096e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.182
x[1] = 0.1156
y[1] (analytic) = 2.0066668512014894394723286613256
y[1] (numeric) = 2.0066668512014894394724383314267
absolute error = 1.096701011e-22
relative error = 5.4652869276399894046958436961739e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.182
x[1] = 0.1157
y[1] (analytic) = 2.0066783649155145945047310393048
y[1] (numeric) = 2.0066783649155145945048414016233
absolute error = 1.103623185e-22
relative error = 5.4997512520969690699069881175760e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.182
x[1] = 0.1158
y[1] (analytic) = 2.0066898884968604883701630148785
y[1] (numeric) = 2.0066898884968604883702740692712
absolute error = 1.110543927e-22
relative error = 5.5342080177215059059353872633246e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.182
x[1] = 0.1159
y[1] (analytic) = 2.0067014219452997099439472688019
y[1] (numeric) = 2.0067014219452997099440590151253
absolute error = 1.117463234e-22
relative error = 5.5686572091862539002901136121487e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.182
x[1] = 0.116
y[1] (analytic) = 2.0067129652606046586279562983802
y[1] (numeric) = 2.0067129652606046586280687364908
absolute error = 1.124381106e-22
relative error = 5.6030988261142800476010206975334e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.182
x[1] = 0.1161
y[1] (analytic) = 2.0067245184425475443684571585173
y[1] (numeric) = 2.0067245184425475443685702882715
absolute error = 1.131297542e-22
relative error = 5.6375328631456545920960403126908e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.182
x[1] = 0.1162
y[1] (analytic) = 2.006736081490900387673970434394
y[1] (numeric) = 2.0067360814909003876740842556482
absolute error = 1.138212542e-22
relative error = 5.6719593199040272655505830443988e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.182
x[1] = 0.1163
y[1] (analytic) = 2.0067476544054350196331434428225
y[1] (numeric) = 2.0067476544054350196332579554328
absolute error = 1.145126103e-22
relative error = 5.7063781810637335122188132557581e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=57.2MB, alloc=4.1MB, time=7.29
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.182
x[1] = 0.1164
y[1] (analytic) = 2.0067592371859230819326376593202
y[1] (numeric) = 2.0067592371859230819327528631427
absolute error = 1.152038225e-22
relative error = 5.7407894462491788861400877338873e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.182
x[1] = 0.1165
y[1] (analytic) = 2.0067708298321360268750303679465
y[1] (numeric) = 2.0067708298321360268751462628372
absolute error = 1.158948907e-22
relative error = 5.7751931101018878478643488588830e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1166
y[1] (analytic) = 2.0067824323438451173967305309408
y[1] (numeric) = 2.0067824323438451173968471167554
absolute error = 1.165858146e-22
relative error = 5.8095891572975466102656475174174e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1167
y[1] (analytic) = 2.006794044720821427085908875199
y[1] (numeric) = 2.0067940447208214270860261517933
absolute error = 1.172765943e-22
relative error = 5.8439775924447260976403010363029e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1168
y[1] (analytic) = 2.0068056669628358402004421926254
y[1] (numeric) = 2.0068056669628358402005601598551
absolute error = 1.179672297e-22
relative error = 5.8783584101860443128374067581471e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1169
y[1] (analytic) = 2.0068172990696590516858718513911
y[1] (numeric) = 2.0068172990696590516859905091118
absolute error = 1.186577207e-22
relative error = 5.9127316051644842451157080422237e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.117
y[1] (analytic) = 2.0068289410410615671933765151313
y[1] (numeric) = 2.0068289410410615671934958631983
absolute error = 1.193480670e-22
relative error = 5.9470971620574226462058184747992e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1171
y[1] (analytic) = 2.0068405928768137030977590671084
y[1] (numeric) = 2.006840592876813703097879105377
absolute error = 1.200382686e-22
relative error = 5.9814550804917036584244877511719e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1172
y[1] (analytic) = 2.0068522545766855865154477363691
y[1] (numeric) = 2.0068522545766855865155684646946
absolute error = 1.207283255e-22
relative error = 6.0158053600944216581831011937672e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1173
y[1] (analytic) = 2.006863926140447155322511422919
y[1] (numeric) = 2.0068639261404471553226328411565
absolute error = 1.214182375e-22
relative error = 6.0501479905271235242933240673459e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1174
y[1] (analytic) = 2.0068756075678681581726892189361
y[1] (numeric) = 2.0068756075678681581728113269405
absolute error = 1.221080044e-22
relative error = 6.0844829614518384383587930520162e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1175
y[1] (analytic) = 2.0068872988587181545154341230434
y[1] (numeric) = 2.0068872988587181545155569206698
absolute error = 1.227976264e-22
relative error = 6.1188102824624417581090245293556e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=61.0MB, alloc=4.1MB, time=7.79
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1176
y[1] (analytic) = 2.0068990000127665146139709446597
y[1] (numeric) = 2.0068990000127665146140944317628
absolute error = 1.234871031e-22
relative error = 6.1531299332559565662175454605234e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1177
y[1] (analytic) = 2.0069107110297824195633683954406
y[1] (numeric) = 2.006910711029782419563492571875
absolute error = 1.241764344e-22
relative error = 6.1874419084784699268355867259600e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1178
y[1] (analytic) = 2.0069224319095348613086253648263
y[1] (numeric) = 2.0069224319095348613087502304466
absolute error = 1.248656203e-22
relative error = 6.2217462077591901337557371628159e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1179
y[1] (analytic) = 2.0069341626517926426627713767055
y[1] (numeric) = 2.0069341626517926426628969313663
absolute error = 1.255546608e-22
relative error = 6.2560428307275768574757001810197e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.118
y[1] (analytic) = 2.0069459032563243773249812242047
y[1] (numeric) = 2.0069459032563243773251074677603
absolute error = 1.262435556e-22
relative error = 6.2903317620652551430137235370371e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1181
y[1] (analytic) = 2.0069576537228984898987037796089
y[1] (numeric) = 2.0069576537228984898988307119135
absolute error = 1.269323046e-22
relative error = 6.3246129964197838586355176246660e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1182
y[1] (analytic) = 2.0069694140512832159098049764187
y[1] (numeric) = 2.0069694140512832159099325973264
absolute error = 1.276209077e-22
relative error = 6.3588865284390905267757647541584e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1183
y[1] (analytic) = 2.0069811842412466018247249605461
y[1] (numeric) = 2.006981184241246601824853269911
absolute error = 1.283093649e-22
relative error = 6.3931523577540793320880979625744e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1184
y[1] (analytic) = 2.0069929642925565050686494076485
y[1] (numeric) = 2.0069929642925565050687784053246
absolute error = 1.289976761e-22
relative error = 6.4274104790133281471824068371493e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1185
y[1] (analytic) = 2.0070047542049805940436950035994
y[1] (numeric) = 2.0070047542049805940438246894404
absolute error = 1.296858410e-22
relative error = 6.4616608769006856647156672744807e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1186
y[1] (analytic) = 2.00701655397828634814710908509
y[1] (numeric) = 2.0070165539782863481472394589497
absolute error = 1.303738597e-22
relative error = 6.4959035560306842333526693720556e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=64.8MB, alloc=4.1MB, time=8.31
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1187
y[1] (analytic) = 2.0070283636122410577894834373574
y[1] (numeric) = 2.0070283636122410577896144990894
absolute error = 1.310617320e-22
relative error = 6.5301385060705198880797021367207e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1188
y[1] (analytic) = 2.0070401831066118244129822460288
y[1] (numeric) = 2.0070401831066118244131139954866
absolute error = 1.317494578e-22
relative error = 6.5643657216703373767473207117546e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1189
y[1] (analytic) = 2.0070520124611655605095842000711
y[1] (numeric) = 2.0070520124611655605097166371081
absolute error = 1.324370370e-22
relative error = 6.5985851974806519158774993473314e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.119
y[1] (analytic) = 2.0070638516756689896393387428334
y[1] (numeric) = 2.0070638516756689896394718673029
absolute error = 1.331244695e-22
relative error = 6.6327969281523494496301365351428e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1191
y[1] (analytic) = 2.0070757007498886464486364681665
y[1] (numeric) = 2.0070757007498886464487702799218
absolute error = 1.338117553e-22
relative error = 6.6670009133190600181345162885456e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1192
y[1] (analytic) = 2.0070875596835908766884936586025
y[1] (numeric) = 2.0070875596835908766886281574966
absolute error = 1.344988941e-22
relative error = 6.7011971376676361401328163380778e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1193
y[1] (analytic) = 2.0070994284765418372328509625733
y[1] (numeric) = 2.0070994284765418372329861484592
absolute error = 1.351858859e-22
relative error = 6.7353856008324800196732457151111e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1194
y[1] (analytic) = 2.0071113071285074960968862076483
y[1] (numeric) = 2.0071113071285074960970220803788
absolute error = 1.358727305e-22
relative error = 6.7695662924836783783267488040858e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1195
y[1] (analytic) = 2.0071231956392536324553413467654
y[1] (numeric) = 2.0071231956392536324554779061932
absolute error = 1.365594278e-22
relative error = 6.8037392072740632133799990776194e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1196
y[1] (analytic) = 2.00713509400854583666086353443
y[1] (numeric) = 2.0071350940085458366610007804078
absolute error = 1.372459778e-22
relative error = 6.8379043448390646227056584333313e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1197
y[1] (analytic) = 2.0071470022361495102623603298534
y[1] (numeric) = 2.0071470022361495102624982622337
absolute error = 1.379323803e-22
relative error = 6.8720616948499749179150818005648e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=68.6MB, alloc=4.1MB, time=8.82
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1198
y[1] (analytic) = 2.0071589203218298660233690239992
y[1] (numeric) = 2.0071589203218298660235076426346
absolute error = 1.386186354e-22
relative error = 6.9062112619250771408003757395618e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1199
y[1] (analytic) = 2.0071708482653519279404400875067
y[1] (numeric) = 2.0071708482653519279405793922495
absolute error = 1.393047428e-22
relative error = 6.9403530307542429705027706504339e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.12
y[1] (analytic) = 2.0071827860664805312615347364537
y[1] (numeric) = 2.0071827860664805312616747271562
absolute error = 1.399907025e-22
relative error = 6.9744870009742761907577270253643e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1201
y[1] (analytic) = 2.0071947337249803225044366129245
y[1] (numeric) = 2.0071947337249803225045772894387
absolute error = 1.406765142e-22
relative error = 7.0086131572760027628715413691483e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1202
y[1] (analytic) = 2.0072066912406157594751775773408
y[1] (numeric) = 2.0072066912406157594753189395187
absolute error = 1.413621779e-22
relative error = 7.0427314992970037939739487317150e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1203
y[1] (analytic) = 2.007218658613151111286477609516
y[1] (numeric) = 2.0072186586131511112866196572097
absolute error = 1.420476937e-22
relative error = 7.0768420316571342093864564905251e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1204
y[1] (analytic) = 2.0072306358423504583761988153895
y[1] (numeric) = 2.0072306358423504583763415484506
absolute error = 1.427330611e-22
relative error = 7.1109447290844544368803413071821e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1205
y[1] (analytic) = 2.007242622927977692525813536392
y[1] (numeric) = 2.0072426229279776925259569546723
absolute error = 1.434182803e-22
relative error = 7.1450396011815868255760623462619e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1206
y[1] (analytic) = 2.0072546198697965168788865583982
y[1] (numeric) = 2.0072546198697965168790306617492
absolute error = 1.441033510e-22
relative error = 7.1791266326415267104167766231412e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1207
y[1] (analytic) = 2.0072666266675704459595714172128
y[1] (numeric) = 2.0072666266675704459597162054861
absolute error = 1.447882733e-22
relative error = 7.2132058280854797456024641985384e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1208
y[1] (analytic) = 2.0072786433210628056911207975397
y[1] (numeric) = 2.0072786433210628056912662705867
absolute error = 1.454730470e-22
relative error = 7.2472771771891805336517077163582e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1209
memory used=72.4MB, alloc=4.1MB, time=9.32
y[1] (analytic) = 2.0072906698300367334144110223791
y[1] (numeric) = 2.0072906698300367334145571800511
absolute error = 1.461576720e-22
relative error = 7.2813406746106982334448604753648e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.121
y[1] (analytic) = 2.0073027061942551779064806297952
y[1] (numeric) = 2.0073027061942551779066274719433
absolute error = 1.468421481e-22
relative error = 7.3153963100266683884694357619040e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1211
y[1] (analytic) = 2.0073147524134808993990830339963
y[1] (numeric) = 2.0073147524134808993992305604716
absolute error = 1.475264753e-22
relative error = 7.3494440830777819394243806134794e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1212
y[1] (analytic) = 2.0073268084874764695972532676662
y[1] (numeric) = 2.0073268084874764695974014783197
absolute error = 1.482106535e-22
relative error = 7.3834839884232370058575900850459e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1213
y[1] (analytic) = 2.0073388744160042716978888024835
y[1] (numeric) = 2.0073388744160042716980376971659
absolute error = 1.488946824e-22
relative error = 7.4175160107591687352220841250878e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1214
y[1] (analytic) = 2.0073509501988265004083444447621
y[1] (numeric) = 2.0073509501988265004084940233242
absolute error = 1.495785621e-22
relative error = 7.4515401547090887860874244891636e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1215
y[1] (analytic) = 2.007363035835705161965041303148
y[1] (numeric) = 2.0073630358357051619651915654406
absolute error = 1.502622926e-22
relative error = 7.4855564199149865583215202673603e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1216
y[1] (analytic) = 2.0073751313264020741520898253003
y[1] (numeric) = 2.0073751313264020741522407711738
absolute error = 1.509458735e-22
relative error = 7.5195647860925893163804285450481e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1217
y[1] (analytic) = 2.0073872366706788663199269004845
y[1] (numeric) = 2.0073872366706788663200785297895
absolute error = 1.516293050e-22
relative error = 7.5535652628479617436600799255059e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1218
y[1] (analytic) = 2.0073993518682969794039670250062
y[1] (numeric) = 2.0073993518682969794041193375929
absolute error = 1.523125867e-22
relative error = 7.5875578298977672904741561905735e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1219
y[1] (analytic) = 2.0074114769190176659432675274059
y[1] (numeric) = 2.0074114769190176659434205231245
absolute error = 1.529957186e-22
relative error = 7.6215424868855675570597261270652e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.122
y[1] (analytic) = 2.0074236118226019900992078503387
y[1] (numeric) = 2.0074236118226019900993615290394
absolute error = 1.536787007e-22
relative error = 7.6555192334551825909140433132641e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=76.2MB, alloc=4.1MB, time=9.82
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1221
y[1] (analytic) = 2.0074357565788108276741828860578
y[1] (numeric) = 2.0074357565788108276743372475905
absolute error = 1.543615327e-22
relative error = 7.6894880543062525059936492567764e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1222
y[1] (analytic) = 2.0074479111874048661303103624176
y[1] (numeric) = 2.0074479111874048661304654066323
absolute error = 1.550442147e-22
relative error = 7.7234489540648350515029597694717e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1223
y[1] (analytic) = 2.007460075648144604608152276314
y[1] (numeric) = 2.0074600756481446046083080030606
absolute error = 1.557267466e-22
relative error = 7.7574019273942879262405808293634e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1224
y[1] (analytic) = 2.0074722499607903539454503714726
y[1] (numeric) = 2.0074722499607903539456067806007
absolute error = 1.564091281e-22
relative error = 7.7913469589955706518734731815940e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1225
y[1] (analytic) = 2.0074844341251022366958756574962
y[1] (numeric) = 2.0074844341251022366960327488555
absolute error = 1.570913593e-22
relative error = 7.8252840534956992160304440626464e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1226
y[1] (analytic) = 2.0074966281408401871477919670813
y[1] (numeric) = 2.0074966281408401871479497405212
absolute error = 1.577734399e-22
relative error = 7.8592131955965143183781182266389e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1227
y[1] (analytic) = 2.0075088320077639513430335483079
y[1] (numeric) = 2.0075088320077639513431920036777
absolute error = 1.584553698e-22
relative error = 7.8931343799630755939458508970831e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1228
y[1] (analytic) = 2.0075210457256330870956966889087
y[1] (numeric) = 2.0075210457256330870958558260578
absolute error = 1.591371491e-22
relative error = 7.9270476112233592900210048570904e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1229
y[1] (analytic) = 2.0075332692942069640109453694192
y[1] (numeric) = 2.0075332692942069640111051881968
absolute error = 1.598187776e-22
relative error = 7.9609528790617677294477965523847e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.123
y[1] (analytic) = 2.0075455027132447635038309421086
y[1] (numeric) = 2.0075455027132447635039914423637
absolute error = 1.605002551e-22
relative error = 7.9948501731632058315327028645383e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1231
y[1] (analytic) = 2.0075577459825054788181258325886
y[1] (numeric) = 2.0075577459825054788182870141702
absolute error = 1.611815816e-22
relative error = 8.0287394931754351404480632645438e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=80.1MB, alloc=4.1MB, time=10.31
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1232
y[1] (analytic) = 2.0075699991017479150451712609975
y[1] (numeric) = 2.0075699991017479150453331237544
absolute error = 1.618627569e-22
relative error = 8.0626208287841848451887721486351e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1233
y[1] (analytic) = 2.007582262070730689142738979651
y[1] (numeric) = 2.0075822620707306891429015234321
absolute error = 1.625437811e-22
relative error = 8.0964941846190357437426477324926e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1234
y[1] (analytic) = 2.0075945348892122299539070240534
y[1] (numeric) = 2.0075945348892122299540702487073
absolute error = 1.632246539e-22
relative error = 8.1303595453853655781675112549570e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1235
y[1] (analytic) = 2.0076068175569507782259494741556
y[1] (numeric) = 2.0076068175569507782261133795308
absolute error = 1.639053752e-22
relative error = 8.1642169057512883712908645449974e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1236
y[1] (analytic) = 2.0076191100737043866292402227492
y[1] (numeric) = 2.0076191100737043866294048086943
absolute error = 1.645859451e-22
relative error = 8.1980662703473501773940503596731e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1237
y[1] (analytic) = 2.0076314124392309197761707478813
y[1] (numeric) = 2.0076314124392309197763360142444
absolute error = 1.652663631e-22
relative error = 8.2319076139182721889122415396772e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1238
y[1] (analytic) = 2.0076437246532880542400818861704
y[1] (numeric) = 2.0076437246532880542402478328
absolute error = 1.659466296e-22
relative error = 8.2657409560383185667145654548403e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1239
y[1] (analytic) = 2.0076560467156332785742096039086
y[1] (numeric) = 2.0076560467156332785743762306527
absolute error = 1.666267441e-22
relative error = 8.2995662714531302631387427929399e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.124
y[1] (analytic) = 2.007668378626023893330644762823
y[1] (numeric) = 2.0076683786260238933308120695296
absolute error = 1.673067066e-22
relative error = 8.3333835598137327335380380477564e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1241
y[1] (analytic) = 2.007680720384217011079306877377
y[1] (numeric) = 2.0076807203842170110794748638941
absolute error = 1.679865171e-22
relative error = 8.3671928207714133865264059015105e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1242
y[1] (analytic) = 2.007693071989969556426931860484
y[1] (numeric) = 2.0076930719899695564271005266594
absolute error = 1.686661754e-22
relative error = 8.4009940440160395675839560813395e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1243
memory used=83.9MB, alloc=4.2MB, time=10.81
y[1] (analytic) = 2.0077054334430382660360737545047
y[1] (numeric) = 2.007705433443038266036243100186
absolute error = 1.693456813e-22
relative error = 8.4347872192379859421367449292633e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1244
y[1] (analytic) = 2.0077178047431796886441204443991
y[1] (numeric) = 2.007717804743179688644290469434
absolute error = 1.700250349e-22
relative error = 8.4685723510704739643137806766153e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1245
y[1] (analytic) = 2.0077301858901501850823233499011
y[1] (numeric) = 2.007730185890150185082494054137
absolute error = 1.707042359e-22
relative error = 8.5023494242238690486154829605888e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1246
y[1] (analytic) = 2.0077425768837059282948410935795
y[1] (numeric) = 2.007742576883705928295012476864
absolute error = 1.713832845e-22
relative error = 8.5361184483127589573012346245992e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1247
y[1] (analytic) = 2.0077549777236029033577971416514
y[1] (numeric) = 2.0077549777236029033579692038317
absolute error = 1.720621803e-22
relative error = 8.5698794030676236159638129446223e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1248
y[1] (analytic) = 2.0077673884095969074983514144067
y[1] (numeric) = 2.00776738840959690749852415533
absolute error = 1.727409233e-22
relative error = 8.6036322881423247928180506283039e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1249
y[1] (analytic) = 2.007779808941443550113785863105
y[1] (numeric) = 2.0077798089414435501139592826183
absolute error = 1.734195133e-22
relative error = 8.6373770932297358006293413001476e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.125
y[1] (analytic) = 2.0077922393188982527906040102001
y[1] (numeric) = 2.0077922393188982527907781081506
absolute error = 1.740979505e-22
relative error = 8.6711138279456199006254330368287e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1251
y[1] (analytic) = 2.0078046795417162493236444497496
y[1] (numeric) = 2.007804679541716249323819225984
absolute error = 1.747762344e-22
relative error = 8.7048424670418079983969056656071e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1252
y[1] (analytic) = 2.007817129609652585735208304858
y[1] (numeric) = 2.0078171296096525857353837592232
absolute error = 1.754543652e-22
relative error = 8.7385630201347447809151456298149e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1253
y[1] (analytic) = 2.0078295895224621202942006390095
y[1] (numeric) = 2.0078295895224621202943767713521
absolute error = 1.761323426e-22
relative error = 8.7722754719383799045737962158697e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1254
y[1] (analytic) = 2.0078420592798995235352858181336
y[1] (numeric) = 2.0078420592798995235354626283002
absolute error = 1.768101666e-22
relative error = 8.8059798221087122089867679602257e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=87.7MB, alloc=4.2MB, time=11.34
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1255
y[1] (analytic) = 2.0078545388817192782780568202537
y[1] (numeric) = 2.0078545388817192782782343080908
absolute error = 1.774878371e-22
relative error = 8.8396760653215642454437888751484e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1256
y[1] (analytic) = 2.0078670283276756796462184895611
y[1] (numeric) = 2.0078670283276756796463966549151
absolute error = 1.781653540e-22
relative error = 8.8733641962531466781197270091993e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1257
y[1] (analytic) = 2.0078795276175228350867847317568
y[1] (numeric) = 2.0078795276175228350869635744739
absolute error = 1.788427171e-22
relative error = 8.9070442045996800536789825493933e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1258
y[1] (analytic) = 2.0078920367510146643892896475011
y[1] (numeric) = 2.0078920367510146643894691674274
absolute error = 1.795199263e-22
relative error = 8.9407160850382451091085849145134e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1259
y[1] (analytic) = 2.0079045557279048997050126008088
y[1] (numeric) = 2.0079045557279048997051927977904
absolute error = 1.801969816e-22
relative error = 8.9743798372266280080573172612755e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.126
y[1] (analytic) = 2.007917084547947085566217219226
y[1] (numeric) = 2.0079170845479470855663980931089
absolute error = 1.808738829e-22
relative error = 9.0080354558425945567052604983564e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1261
y[1] (analytic) = 2.0079296232108945789054043226216
y[1] (numeric) = 2.0079296232108945789055858732516
absolute error = 1.815506300e-22
relative error = 9.0416829305840457167050299431326e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1262
y[1] (analytic) = 2.0079421717165005490745787774248
y[1] (numeric) = 2.0079421717165005490747610046476
absolute error = 1.822272228e-22
relative error = 9.0753222561296196913503553471551e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1263
y[1] (analytic) = 2.0079547300645179778645302731386
y[1] (numeric) = 2.0079547300645179778647131767999
absolute error = 1.829036613e-22
relative error = 9.1089534321385366811014951671254e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1264
y[1] (analytic) = 2.0079672982546996595241280179562
y[1] (numeric) = 2.0079672982546996595243115979014
absolute error = 1.835799452e-22
relative error = 9.1425764433298001313916749911835e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1265
y[1] (analytic) = 2.0079798762867982007796293503044
y[1] (numeric) = 2.0079798762867982007798136063791
absolute error = 1.842560747e-22
relative error = 9.1761912993237014121073159384141e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=91.5MB, alloc=4.2MB, time=11.85
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1266
y[1] (analytic) = 2.0079924641605660208540022631392
y[1] (numeric) = 2.0079924641605660208541871951887
absolute error = 1.849320495e-22
relative error = 9.2097979848400563443075867510380e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1267
y[1] (analytic) = 2.0080050618757553514862618378115
y[1] (numeric) = 2.008005061875755351486447445681
absolute error = 1.856078695e-22
relative error = 9.2433964945594557214017914754997e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1268
y[1] (analytic) = 2.0080176694321182369508205843235
y[1] (numeric) = 2.0080176694321182369510068678583
absolute error = 1.862835348e-22
relative error = 9.2769868331229533645378162155874e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1269
y[1] (analytic) = 2.0080302868294065340768526847931
y[1] (numeric) = 2.008030286829406534077039643838
absolute error = 1.869590449e-22
relative error = 9.3105689752917169178193476757052e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.127
y[1] (analytic) = 2.0080429140673719122676721369371
y[1] (numeric) = 2.0080429140673719122678597713371
absolute error = 1.876344000e-22
relative error = 9.3441429306876193694021446108658e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.1271
y[1] (analytic) = 2.0080555511457658535201247943906
y[1] (numeric) = 2.0080555511457658535203131039905
absolute error = 1.883095999e-22
relative error = 9.3777086890127823405434072329106e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.183
x[1] = 0.1272
y[1] (analytic) = 2.0080681980643396524439943006683
y[1] (numeric) = 2.0080681980643396524441832853128
absolute error = 1.889846445e-22
relative error = 9.4112662449497556361091464235509e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.183
x[1] = 0.1273
y[1] (analytic) = 2.0080808548228444162814219135786
y[1] (numeric) = 2.0080808548228444162816115731123
absolute error = 1.896595337e-22
relative error = 9.4448155931814816388578106931292e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.183
x[1] = 0.1274
y[1] (analytic) = 2.008093521421031064926340216895
y[1] (numeric) = 2.0080935214210310649265305511625
absolute error = 1.903342675e-22
relative error = 9.4783567333711433108084811119485e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.183
x[1] = 0.1275
y[1] (analytic) = 2.0081061978586503309439207160897
y[1] (numeric) = 2.0081061978586503309441117249354
absolute error = 1.910088457e-22
relative error = 9.5118896552225583314810588030398e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.183
x[1] = 0.1276
y[1] (analytic) = 2.0081188841354527595900353149302
y[1] (numeric) = 2.0081188841354527595902269981983
absolute error = 1.916832681e-22
relative error = 9.5454143484400634146287299707165e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.183
memory used=95.3MB, alloc=4.2MB, time=12.36
x[1] = 0.1277
y[1] (analytic) = 2.0081315802511887088307316697386
y[1] (numeric) = 2.0081315802511887088309240272734
absolute error = 1.923575348e-22
relative error = 9.5789308176677749054328037885833e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.183
x[1] = 0.1278
y[1] (analytic) = 2.0081442862056083493617224181127
y[1] (numeric) = 2.0081442862056083493619154497582
absolute error = 1.930316455e-22
relative error = 9.6124390476310636346757057419381e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.183
x[1] = 0.1279
y[1] (analytic) = 2.0081570019984616646278882789014
y[1] (numeric) = 2.0081570019984616646280819845017
absolute error = 1.937056003e-22
relative error = 9.6459390429747079552433527686178e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.183
x[1] = 0.128
y[1] (analytic) = 2.0081697276294984508427950202305
y[1] (numeric) = 2.0081697276294984508429893996295
absolute error = 1.943793990e-22
relative error = 9.6794307934046519517678822683624e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.183
x[1] = 0.1281
y[1] (analytic) = 2.0081824630984683170082242923685
y[1] (numeric) = 2.0081824630984683170084193454099
absolute error = 1.950530414e-22
relative error = 9.7129142886273604893808544953908e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.183
x[1] = 0.1282
y[1] (analytic) = 2.0081952084051206849337183222214
y[1] (numeric) = 2.0081952084051206849339140487489
absolute error = 1.957265275e-22
relative error = 9.7463895283090108830996840370841e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.183
x[1] = 0.1283
y[1] (analytic) = 2.0082079635492047892561384662448
y[1] (numeric) = 2.008207963549204789256334866102
absolute error = 1.963998572e-22
relative error = 9.7798565071364852306597651853160e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.183
x[1] = 0.1284
y[1] (analytic) = 2.0082207285304696774592376185564
y[1] (numeric) = 2.0082207285304696774594346915868
absolute error = 1.970730304e-22
relative error = 9.8133152197970609934608869038457e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.183
x[1] = 0.1285
y[1] (analytic) = 2.0082335033486642098932464710329
y[1] (numeric) = 2.0082335033486642098934442170799
absolute error = 1.977460470e-22
relative error = 9.8467656609784112494268110006155e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.183
x[1] = 0.1286
y[1] (analytic) = 2.0082462880035370597944736221717
y[1] (numeric) = 2.0082462880035370597946720410785
absolute error = 1.984189068e-22
relative error = 9.8802078203891360132604700365757e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.183
x[1] = 0.1287
y[1] (analytic) = 2.0082590824948367133049195314947
y[1] (numeric) = 2.0082590824948367133051186231046
absolute error = 1.990916099e-22
relative error = 9.9136417026766699432084980159598e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.183
x[1] = 0.1288
y[1] (analytic) = 2.0082718868223114694919043162734
y[1] (numeric) = 2.0082718868223114694921040804293
absolute error = 1.997641559e-22
relative error = 9.9470672875915629292465886178407e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=99.1MB, alloc=4.2MB, time=12.87
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.183
x[1] = 0.1289
y[1] (analytic) = 2.0082847009857094403677093873459
y[1] (numeric) = 2.0082847009857094403679098238908
absolute error = 2.004365449e-22
relative error = 9.9804845797820110516524478297101e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.183
x[1] = 0.129
y[1] (analytic) = 2.0082975249847785509092329208015
y[1] (numeric) = 2.0082975249847785509094340295784
absolute error = 2.011087769e-22
relative error = 1.0013893578917011298568345660973e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.183
x[1] = 0.1291
y[1] (analytic) = 2.0083103588192665390776591623012
y[1] (numeric) = 2.0083103588192665390778609431528
absolute error = 2.017808516e-22
relative error = 1.0047294269727900291268241420012e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.183
x[1] = 0.1292
y[1] (analytic) = 2.0083232024889209558381415608014
y[1] (numeric) = 2.0083232024889209558383440135703
absolute error = 2.024527689e-22
relative error = 1.0080686646905223101182051715745e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.183
x[1] = 0.1293
y[1] (analytic) = 2.0083360559934891651794997284489
y[1] (numeric) = 2.0083360559934891651797028529778
absolute error = 2.031245289e-22
relative error = 1.0114070715098415304151102112133e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.183
x[1] = 0.1294
y[1] (analytic) = 2.0083489193327183441339302234095
y[1] (numeric) = 2.0083489193327183441341340195409
absolute error = 2.037961314e-22
relative error = 1.0147446464019411965189379473122e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1295
y[1] (analytic) = 2.0083617925063554827967311523922
y[1] (numeric) = 2.0083617925063554827969356199684
absolute error = 2.044675762e-22
relative error = 1.0180813883380673809799860774267e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1296
y[1] (analytic) = 2.0083746755141473843460405896282
y[1] (numeric) = 2.0083746755141473843462457284914
absolute error = 2.051388632e-22
relative error = 1.0214172967874338330475798531112e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1297
y[1] (analytic) = 2.0083875683558406650625888090635
y[1] (numeric) = 2.0083875683558406650627946190559
absolute error = 2.058099924e-22
relative error = 1.0247523717172060460213345525504e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1298
y[1] (analytic) = 2.0084004710311817543494643265192
y[1] (numeric) = 2.0084004710311817543496708074828
absolute error = 2.064809636e-22
relative error = 1.0280866120987592896315166561346e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1299
y[1] (analytic) = 2.0084133835399168947518937485734
y[1] (numeric) = 2.0084133835399168947521009003502
absolute error = 2.071517768e-22
relative error = 1.0314200178993324835611542711924e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=103.0MB, alloc=4.2MB, time=13.39
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.13
y[1] (analytic) = 2.0084263058817921419770354249161
y[1] (numeric) = 2.0084263058817921419772432473479
absolute error = 2.078224318e-22
relative error = 1.0347525880903871645574252056304e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1301
y[1] (analytic) = 2.0084392380565533649137869009257
y[1] (numeric) = 2.0084392380565533649139953938543
absolute error = 2.084929286e-22
relative error = 1.0380843226392357698453320113546e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1302
y[1] (analytic) = 2.0084521800639462456526061672148
y[1] (numeric) = 2.0084521800639462456528153304819
absolute error = 2.091632671e-22
relative error = 1.0414152210153220608172961682758e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1303
y[1] (analytic) = 2.0084651319037162795053467028898
y[1] (numeric) = 2.0084651319037162795055565363368
absolute error = 2.098334470e-22
relative error = 1.0447452816923445413791597384799e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1304
y[1] (analytic) = 2.008478093575608775025106309267
y[1] (numeric) = 2.0084780935756087750253168127354
absolute error = 2.105034684e-22
relative error = 1.0480745051356251551426995389829e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1305
y[1] (analytic) = 2.008491065079368854026089730787
y[1] (numeric) = 2.0084910650793688540263009041181
absolute error = 2.111733311e-22
relative error = 1.0514028903168415924597771449632e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1306
y[1] (analytic) = 2.0085040464147414516034850598647
y[1] (numeric) = 2.0085040464147414516036969028997
absolute error = 2.118430350e-22
relative error = 1.0547304367056074965110319854064e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1307
y[1] (analytic) = 2.0085170375814713161533539224124
y[1] (numeric) = 2.0085170375814713161535664349925
absolute error = 2.125125801e-22
relative error = 1.0580571442694564107678913898185e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1308
y[1] (analytic) = 2.0085300385793030093925354407707
y[1] (numeric) = 2.008530038579303009392748622737
absolute error = 2.131819663e-22
relative error = 1.0613830124780725966684982928793e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1309
y[1] (analytic) = 2.0085430494079809063785639707787
y[1] (numeric) = 2.0085430494079809063787778219721
absolute error = 2.138511934e-22
relative error = 1.0647080403033071603776773850246e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.131
y[1] (analytic) = 2.0085560700672491955296006097147
y[1] (numeric) = 2.0085560700672491955298151299761
absolute error = 2.145202614e-22
relative error = 1.0680322277128044983512094274281e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1311
memory used=106.8MB, alloc=4.2MB, time=13.88
y[1] (analytic) = 2.0085691005568518786443784718353
y[1] (numeric) = 2.0085691005568518786445936610054
absolute error = 2.151891701e-22
relative error = 1.0713555736785025897794604115409e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1312
y[1] (analytic) = 2.0085821408765327709221617282391
y[1] (numeric) = 2.0085821408765327709223775861585
absolute error = 2.158579194e-22
relative error = 1.0746780776702562170200259662175e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1313
y[1] (analytic) = 2.008595191026035500982718407779
y[1] (numeric) = 2.0085951910260355009829349342883
absolute error = 2.165265093e-22
relative error = 1.0779997396558208411636193590534e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1314
y[1] (analytic) = 2.0086082510051035108863069557461
y[1] (numeric) = 2.0086082510051035108865241506857
absolute error = 2.171949396e-22
relative error = 1.0813205586072649607758483238030e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1315
y[1] (analytic) = 2.008621320813480056153676547043
y[1] (numeric) = 2.0086213208134800561538944102532
absolute error = 2.178632102e-22
relative error = 1.0846405339945642703322237671098e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1316
y[1] (analytic) = 2.0086344004509082057860811505666
y[1] (numeric) = 2.0086344004509082057862996818877
absolute error = 2.185313211e-22
relative error = 1.0879596657855854998465609976307e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1317
y[1] (analytic) = 2.0086474899171308422853073415153
y[1] (numeric) = 2.0086474899171308422855265407873
absolute error = 2.191992720e-22
relative error = 1.0912779524546804799245953271080e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1318
y[1] (analytic) = 2.0086605892118906616737158583334
y[1] (numeric) = 2.0086605892118906616739357253964
absolute error = 2.198670630e-22
relative error = 1.0945953944676441588715060214448e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1319
y[1] (analytic) = 2.0086736983349301735142969010064
y[1] (numeric) = 2.0086736983349301735145174357003
absolute error = 2.205346939e-22
relative error = 1.0979119907967631218612257575897e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.132
y[1] (analytic) = 2.0086868172859917009307391674144
y[1] (numeric) = 2.0086868172859917009309603695791
absolute error = 2.212021647e-22
relative error = 1.1012277414100527773424535886445e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1321
y[1] (analytic) = 2.0086999460648173806275126244533
y[1] (numeric) = 2.0086999460648173806277344939285
absolute error = 2.218694752e-22
relative error = 1.1045426452798871329991930488075e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1322
y[1] (analytic) = 2.008713084671149162909965010627
y[1] (numeric) = 2.0087130846711491629101875472524
absolute error = 2.225366254e-22
relative error = 1.1078567023743560688517209250932e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=110.6MB, alloc=4.2MB, time=14.41
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1323
y[1] (analytic) = 2.0087262331047288117044320668164
y[1] (numeric) = 2.0087262331047288117046552704313
absolute error = 2.232036149e-22
relative error = 1.1111699106702652872925283226734e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1324
y[1] (analytic) = 2.0087393913652979045783614919234
y[1] (numeric) = 2.0087393913652979045785853623674
absolute error = 2.238704440e-22
relative error = 1.1144822716292727698513551789991e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1325
y[1] (analytic) = 2.008752559452597832760450620093
y[1] (numeric) = 2.0087525594525978327606751572054
absolute error = 2.245371124e-22
relative error = 1.1177937837260965281550463247294e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1326
y[1] (analytic) = 2.0087657373663698011607978162065
y[1] (numeric) = 2.0087657373663698011610230198265
absolute error = 2.252036200e-22
relative error = 1.1211044464311575356586891579063e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1327
y[1] (analytic) = 2.0087789251063548283910675863438
y[1] (numeric) = 2.0087789251063548283912934563105
absolute error = 2.258699667e-22
relative error = 1.1244142592149173978518955612378e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1328
y[1] (analytic) = 2.0087921226722937467846693999064
y[1] (numeric) = 2.0087921226722937467848959360589
absolute error = 2.265361525e-22
relative error = 1.1277232220456899669754994215595e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1329
y[1] (analytic) = 2.008805330063927202416950220093
y[1] (numeric) = 2.0088053300639272024171774222701
absolute error = 2.272021771e-22
relative error = 1.1310313333983917351563020303610e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.133
y[1] (analytic) = 2.0088185472809956551254007394151
y[1] (numeric) = 2.0088185472809956551256286074556
absolute error = 2.278680405e-22
relative error = 1.1343385932414212142666469389317e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1331
y[1] (analytic) = 2.0088317743232393785298753169406
y[1] (numeric) = 2.0088317743232393785301038506834
absolute error = 2.285337428e-22
relative error = 1.1376450020410063150228956813661e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1332
y[1] (analytic) = 2.0088450111903984600528256139505
y[1] (numeric) = 2.0088450111903984600530548132341
absolute error = 2.291992836e-22
relative error = 1.1409505577743970467034414538900e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1333
y[1] (analytic) = 2.008858257882212800939547924689
y[1] (numeric) = 2.0088582578822128009397777893519
absolute error = 2.298646629e-22
relative error = 1.1442552604101043659267942187176e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=114.4MB, alloc=4.2MB, time=14.93
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1334
y[1] (analytic) = 2.0088715143984221162784441988905
y[1] (numeric) = 2.0088715143984221162786747287712
absolute error = 2.305298807e-22
relative error = 1.1475591099166669107700801459538e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1335
y[1] (analytic) = 2.0088847807387659350212967527608
y[1] (numeric) = 2.0088847807387659350215279476976
absolute error = 2.311949368e-22
relative error = 1.1508621052670737446284959233042e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1336
y[1] (analytic) = 2.008898056902983600003556665088
y[1] (numeric) = 2.0088980569029836000037885249191
absolute error = 2.318598311e-22
relative error = 1.1541642459321532711029682572545e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1337
y[1] (analytic) = 2.008911342890814267964645855159
y[1] (numeric) = 2.0089113428908142679648783797225
absolute error = 2.325245635e-22
relative error = 1.1574655313827747755166706926702e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1338
y[1] (analytic) = 2.0089246387019969095682728391534
y[1] (numeric) = 2.0089246387019969095685060282874
absolute error = 2.331891340e-22
relative error = 1.1607659615876272020879268059960e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1339
y[1] (analytic) = 2.0089379443362703094227621616851
y[1] (numeric) = 2.0089379443362703094229960152274
absolute error = 2.338535423e-22
relative error = 1.1640655350221008729922943581380e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.134
y[1] (analytic) = 2.0089512597933730661013974991593
y[1] (numeric) = 2.0089512597933730661016320169479
absolute error = 2.345177886e-22
relative error = 1.1673642526505142271435740618472e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1341
y[1] (analytic) = 2.0089645850730435921627784316128
y[1] (numeric) = 2.0089645850730435921630136134852
absolute error = 2.351818724e-22
relative error = 1.1706621119528050984204395213882e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1342
y[1] (analytic) = 2.0089779201750201141711908796987
y[1] (numeric) = 2.0089779201750201141714267254927
absolute error = 2.358457940e-22
relative error = 1.1739591143911295659073019425038e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1343
y[1] (analytic) = 2.0089912650990406727169912034815
y[1] (numeric) = 2.0089912650990406727172277130345
absolute error = 2.365095530e-22
relative error = 1.1772552579432961582805492916821e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1344
y[1] (analytic) = 2.0090046198448431224370039596986
y[1] (numeric) = 2.0090046198448431224372411328481
absolute error = 2.371731495e-22
relative error = 1.1805505430759888128425357623195e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1345
y[1] (analytic) = 2.0090179844121651320349333141496
y[1] (numeric) = 2.0090179844121651320351711507329
absolute error = 2.378365833e-22
relative error = 1.1838449687626392010142679284485e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=118.2MB, alloc=4.2MB, time=15.42
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1346
y[1] (analytic) = 2.0090313588007441843017881058669
y[1] (numeric) = 2.0090313588007441843020266057212
absolute error = 2.384998543e-22
relative error = 1.1871385344744856503922263961677e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1347
y[1] (analytic) = 2.0090447430103175761363205597227
y[1] (numeric) = 2.009044743010317576136559722685
absolute error = 2.391629623e-22
relative error = 1.1904312391850586251750062326677e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1348
y[1] (analytic) = 2.0090581370406224185654786441236
y[1] (numeric) = 2.0090581370406224185657184700311
absolute error = 2.398259075e-22
relative error = 1.1937230838589257216881667349097e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1349
y[1] (analytic) = 2.0090715408913956367648720704437
y[1] (numeric) = 2.0090715408913956367651125591333
absolute error = 2.404886896e-22
relative error = 1.1970140669719441068559632580120e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.135
y[1] (analytic) = 2.0090849545623739700792519308422
y[1] (numeric) = 2.0090849545623739700794930821506
absolute error = 2.411513084e-22
relative error = 1.2003041874977777414454341391223e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1351
y[1] (analytic) = 2.0090983780532939720430039711118
y[1] (numeric) = 2.0090983780532939720432457848759
absolute error = 2.418137641e-22
relative error = 1.2035934464010879433980398248948e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1352
y[1] (analytic) = 2.0091118113638920104006554952035
y[1] (numeric) = 2.0091118113638920104008979712598
absolute error = 2.424760563e-22
relative error = 1.2068818416601430951033540812293e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1353
y[1] (analytic) = 2.0091252544939042671273958980653
y[1] (numeric) = 2.0091252544939042671276390362504
absolute error = 2.431381851e-22
relative error = 1.2101693737419380336762062491793e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1354
y[1] (analytic) = 2.0091387074430667384496108234386
y[1] (numeric) = 2.009138707443066738449854623589
absolute error = 2.438001504e-22
relative error = 1.2134560421180308230290794462076e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1355
y[1] (analytic) = 2.0091521702111152348654299432474
y[1] (numeric) = 2.0091521702111152348656744051992
absolute error = 2.444619518e-22
relative error = 1.2167418447668537021122940526558e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1356
y[1] (analytic) = 2.0091656427977853811652883552151
y[1] (numeric) = 2.0091656427977853811655334788046
absolute error = 2.451235895e-22
relative error = 1.2200267826532345550477658722554e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=122.0MB, alloc=4.2MB, time=15.94
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1357
y[1] (analytic) = 2.0091791252028126164525015953454
y[1] (numeric) = 2.0091791252028126164527473804088
absolute error = 2.457850634e-22
relative error = 1.2233108552488554870448557811206e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1358
y[1] (analytic) = 2.0091926174259321941638542618951
y[1] (numeric) = 2.0091926174259321941641007082686
absolute error = 2.464463735e-22
relative error = 1.2265940625231523531928038523390e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1359
y[1] (analytic) = 2.0092061194668791820902022474714
y[1] (numeric) = 2.0092061194668791820904493549906
absolute error = 2.471075192e-22
relative error = 1.2298764014593349502011070058176e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.136
y[1] (analytic) = 2.0092196313253884623970885758768
y[1] (numeric) = 2.0092196313253884623973363443777
absolute error = 2.477685009e-22
relative error = 1.2331578740177781268555067739233e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1361
y[1] (analytic) = 2.0092331530011947316453728403326
y[1] (numeric) = 2.0092331530011947316456212696509
absolute error = 2.484293183e-22
relative error = 1.2364384786749150300437882667230e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1362
y[1] (analytic) = 2.0092466844940325008118742396987
y[1] (numeric) = 2.00924668449403250081212332967
absolute error = 2.490899713e-22
relative error = 1.2397182149026450303150599779196e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1363
y[1] (analytic) = 2.0092602258036360953100282093139
y[1] (numeric) = 2.0092602258036360953102779597738
absolute error = 2.497504599e-22
relative error = 1.2429970826706046390784642924185e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1364
y[1] (analytic) = 2.0092737769297396550105566430759
y[1] (numeric) = 2.0092737769297396550108070538598
absolute error = 2.504107839e-22
relative error = 1.2462750809530739807885868932518e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1365
y[1] (analytic) = 2.009287337872077134262151703376
y[1] (numeric) = 2.0092873378720771342624027743193
absolute error = 2.510709433e-22
relative error = 1.2495522097197659738382391976171e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1366
y[1] (analytic) = 2.0093009086303823019121732155066
y[1] (numeric) = 2.0093009086303823019124249464445
absolute error = 2.517309379e-22
relative error = 1.2528284679450506207981555722345e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1367
y[1] (analytic) = 2.0093144892043887413273596431513
y[1] (numeric) = 2.009314489204388741327612033919
absolute error = 2.523907677e-22
relative error = 1.2561038555987173364665538190199e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=125.8MB, alloc=4.2MB, time=16.46
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1368
y[1] (analytic) = 2.0093280795938298504145526415718
y[1] (numeric) = 2.0093280795938298504148056920042
absolute error = 2.530504324e-22
relative error = 1.2593783711575473037721834014799e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1369
y[1] (analytic) = 2.0093416797984388416414351850976
y[1] (numeric) = 2.0093416797984388416416888950297
absolute error = 2.537099321e-22
relative error = 1.2626520150890920665942357081788e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.137
y[1] (analytic) = 2.0093552898179487420572832655281
y[1] (numeric) = 2.0093552898179487420575376347948
absolute error = 2.543692667e-22
relative error = 1.2659247868655737830763335429825e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1371
y[1] (analytic) = 2.0093689096520923933137311580504
y[1] (numeric) = 2.0093689096520923933139861864864
absolute error = 2.550284360e-22
relative error = 1.2691966854615876291492367603889e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1372
y[1] (analytic) = 2.0093825393006024516855502512758
y[1] (numeric) = 2.0093825393006024516858059387157
absolute error = 2.556874399e-22
relative error = 1.2724677103494493372713919577588e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1373
y[1] (analytic) = 2.0093961787632113880914414379966
y[1] (numeric) = 2.0093961787632113880916977842751
absolute error = 2.563462785e-22
relative error = 1.2757378619968402943307398700257e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1374
y[1] (analytic) = 2.0094098280396514881148410632621
y[1] (numeric) = 2.0094098280396514881150980682136
absolute error = 2.570049515e-22
relative error = 1.2790071388808224061467416079462e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1375
y[1] (analytic) = 2.0094234871296548520247404263693
y[1] (numeric) = 2.009423487129654852024998089828
absolute error = 2.576634587e-22
relative error = 1.2822755399761816134328104655041e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1376
y[1] (analytic) = 2.0094371560329533947965188333644
y[1] (numeric) = 2.0094371560329533947967771551647
absolute error = 2.583218003e-22
relative error = 1.2855430662483664116191898545812e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1377
y[1] (analytic) = 2.0094508347492788461327901966485
y[1] (numeric) = 2.0094508347492788461330491766244
absolute error = 2.589799759e-22
relative error = 1.2888097156769361112683267104737e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1378
y[1] (analytic) = 2.0094645232783627504842631782751
y[1] (numeric) = 2.0094645232783627504845228162608
absolute error = 2.596379857e-22
relative error = 1.2920754892274026541673660783729e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1379
y[1] (analytic) = 2.0094782216199364670706148735329
y[1] (numeric) = 2.0094782216199364670708751693623
absolute error = 2.602958294e-22
relative error = 1.2953403853770711047857879615187e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=129.7MB, alloc=4.2MB, time=16.95
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.138
y[1] (analytic) = 2.0094919297737311699013780313961
y[1] (numeric) = 2.0094919297737311699016389849031
absolute error = 2.609535070e-22
relative error = 1.2986044040962302840777131941796e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.1381
y[1] (analytic) = 2.0095056477394778477968418084296
y[1] (numeric) = 2.009505647739477847797103419448
absolute error = 2.616110184e-22
relative error = 1.3018675448575625673831068473846e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.184
x[1] = 0.1382
y[1] (analytic) = 2.0095193755169073044089660527314
y[1] (numeric) = 2.0095193755169073044092283210948
absolute error = 2.622683634e-22
relative error = 1.3051298066361608828717598126181e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.184
x[1] = 0.1383
y[1] (analytic) = 2.0095331131057501582423091144917
y[1] (numeric) = 2.0095331131057501582425720400337
absolute error = 2.629255420e-22
relative error = 1.3083911894024298293201849863982e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.184
x[1] = 0.1384
y[1] (analytic) = 2.0095468605057368426749691797491
y[1] (numeric) = 2.0095468605057368426752327623031
absolute error = 2.635825540e-22
relative error = 1.3116516921315531873350331207144e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.184
x[1] = 0.1385
y[1] (analytic) = 2.0095606177165976059795391239184
y[1] (numeric) = 2.0095606177165976059798033633179
absolute error = 2.642393995e-22
relative error = 1.3149113152916340713630775090541e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.184
x[1] = 0.1386
y[1] (analytic) = 2.0095743847380625113440748816676
y[1] (numeric) = 2.0095743847380625113443397777458
absolute error = 2.648960782e-22
relative error = 1.3181700573603191874116164003977e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1387
y[1] (analytic) = 2.0095881615698614368930773297131
y[1] (numeric) = 2.0095881615698614368933428823032
absolute error = 2.655525901e-22
relative error = 1.3214279183081678135554459422133e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1388
y[1] (analytic) = 2.0096019482117240757084876791069
y[1] (numeric) = 2.009601948211724075708753888042
absolute error = 2.662089351e-22
relative error = 1.3246848976081567345539418109019e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1389
y[1] (analytic) = 2.0096157446633799358506963735826
y[1] (numeric) = 2.0096157446633799358509632386956
absolute error = 2.668651130e-22
relative error = 1.3279409942356973236523435331067e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.139
y[1] (analytic) = 2.0096295509245583403795654905269
y[1] (numeric) = 2.0096295509245583403798330116507
absolute error = 2.675211238e-22
relative error = 1.3311962081614651033881668540877e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=133.5MB, alloc=4.2MB, time=17.45
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1391
y[1] (analytic) = 2.0096433669949884273754646411422
y[1] (numeric) = 2.0096433669949884273757328181097
absolute error = 2.681769675e-22
relative error = 1.3344505393561641306837074225317e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1392
y[1] (analytic) = 2.0096571928743991499603203663618
y[1] (numeric) = 2.0096571928743991499605891990056
absolute error = 2.688326438e-22
relative error = 1.3377039862977350872898169375154e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1393
y[1] (analytic) = 2.0096710285625192763186790250786
y[1] (numeric) = 2.0096710285625192763189485132313
absolute error = 2.694881527e-22
relative error = 1.3409565489569699327455956102801e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1394
y[1] (analytic) = 2.009684874059077389718783171246
y[1] (numeric) = 2.00968487405907738971905331474
absolute error = 2.701434940e-22
relative error = 1.3442082263095083068984271469582e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1395
y[1] (analytic) = 2.0096987293638018885336614164072
y[1] (numeric) = 2.0096987293638018885339322150751
absolute error = 2.707986679e-22
relative error = 1.3474590193213939501123909569610e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1396
y[1] (analytic) = 2.0097125944764209862622317742086
y[1] (numeric) = 2.0097125944764209862625032278826
absolute error = 2.714536740e-22
relative error = 1.3507089259731702319892326009042e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1397
y[1] (analytic) = 2.0097264693966627115504184834474
y[1] (numeric) = 2.0097264693966627115506905919597
absolute error = 2.721085123e-22
relative error = 1.3539579462357846717104057445185e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1398
y[1] (analytic) = 2.0097403541242549082122823062068
y[1] (numeric) = 2.0097403541242549082125550693895
absolute error = 2.727631827e-22
relative error = 1.3572060795826367146511046073427e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1399
y[1] (analytic) = 2.0097542486589252352511642976253
y[1] (numeric) = 2.0097542486589252352514377153104
absolute error = 2.734176851e-22
relative error = 1.3604533254871682064757297112654e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.14
y[1] (analytic) = 2.0097681530004011668808430438475
y[1] (numeric) = 2.0097681530004011668811171158669
absolute error = 2.740720194e-22
relative error = 1.3636996834228634176449678290499e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1401
y[1] (analytic) = 2.0097820671484099925467053647008
y[1] (numeric) = 2.0097820671484099925469800908864
absolute error = 2.747261856e-22
relative error = 1.3669451533608154540160728565014e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=137.3MB, alloc=4.2MB, time=17.95
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1402
y[1] (analytic) = 2.0097959911026788169469304776407
y[1] (numeric) = 2.0097959911026788169472058578241
absolute error = 2.753801834e-22
relative error = 1.3701897337794572897735945883362e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1403
y[1] (analytic) = 2.0098099248629345600536876195043
y[1] (numeric) = 2.0098099248629345600539636535172
absolute error = 2.760340129e-22
relative error = 1.3734334251475299370187043357281e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1404
y[1] (analytic) = 2.0098238684289039571343471226122
y[1] (numeric) = 2.0098238684289039571346238102861
absolute error = 2.766876739e-22
relative error = 1.3766762264411212170889706006232e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1405
y[1] (analytic) = 2.0098378218003135587727049417542
y[1] (numeric) = 2.0098378218003135587729822829204
absolute error = 2.773411662e-22
relative error = 1.3799181366363753014744082512011e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1406
y[1] (analytic) = 2.0098517849768897308902206285926
y[1] (numeric) = 2.0098517849768897308904986230825
absolute error = 2.779944899e-22
relative error = 1.3831591562021401395633195010573e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1407
y[1] (analytic) = 2.0098657579583586547672687500183
y[1] (numeric) = 2.0098657579583586547675473976632
absolute error = 2.786476449e-22
relative error = 1.3863992846121872838240312567044e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1408
y[1] (analytic) = 2.0098797407444463270644037469875
y[1] (numeric) = 2.0098797407444463270646830476184
absolute error = 2.793006309e-22
relative error = 1.3896385203452464810565076682645e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1409
y[1] (analytic) = 2.0098937333348785598436382303685
y[1] (numeric) = 2.0098937333348785598439181838166
absolute error = 2.799534481e-22
relative error = 1.3928768643678115302730707384031e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.141
y[1] (analytic) = 2.0099077357293809805897347103265
y[1] (numeric) = 2.0099077357293809805900153164227
absolute error = 2.806060962e-22
relative error = 1.3961143151587009399683616729034e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1411
y[1] (analytic) = 2.0099217479276790322315107557687
y[1] (numeric) = 2.0099217479276790322317920143438
absolute error = 2.812585751e-22
relative error = 1.3993508721918672474231048238075e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1412
y[1] (analytic) = 2.009935769929497973163157580374
y[1] (numeric) = 2.0099357699294979731634394912587
absolute error = 2.819108847e-22
relative error = 1.4025865349413057082552572081209e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1413
y[1] (analytic) = 2.009949801734562877265572051727
y[1] (numeric) = 2.0099498017345628772658546147521
absolute error = 2.825630251e-22
relative error = 1.4058213038761040470898461566038e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=141.1MB, alloc=4.2MB, time=18.46
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1414
y[1] (analytic) = 2.0099638433425986339277021200765
y[1] (numeric) = 2.0099638433425986339279853350724
absolute error = 2.832149959e-22
relative error = 1.4090551769777580129528049218598e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1415
y[1] (analytic) = 2.0099778947533299480679056632317
y[1] (numeric) = 2.009977894753329948068189530029
absolute error = 2.838667973e-22
relative error = 1.4122881552129553109286614287698e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1416
y[1] (analytic) = 2.0099919559664813401553227441156
y[1] (numeric) = 2.0099919559664813401556072625446
absolute error = 2.845184290e-22
relative error = 1.4155202370608125664206878488454e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1417
y[1] (analytic) = 2.0100060269817771462312612774836
y[1] (numeric) = 2.0100060269817771462315464473745
absolute error = 2.851698909e-22
relative error = 1.4187514219955389714347432795262e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1418
y[1] (analytic) = 2.0100201077989415179305961023211
y[1] (numeric) = 2.0100201077989415179308819235042
absolute error = 2.858211831e-22
relative error = 1.4219817104864015043181102550625e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1419
y[1] (analytic) = 2.0100341984176984225031814564279
y[1] (numeric) = 2.0100341984176984225034679287332
absolute error = 2.864723053e-22
relative error = 1.4252111010126662389119147277658e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.142
y[1] (analytic) = 2.0100482988377716428352768496952
y[1] (numeric) = 2.0100482988377716428355639729526
absolute error = 2.871232574e-22
relative error = 1.4284395930486710202625492186931e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1421
y[1] (analytic) = 2.0100624090588847774709863325814
y[1] (numeric) = 2.0100624090588847774712741066208
absolute error = 2.877740394e-22
relative error = 1.4316671865662936221332671699479e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1422
y[1] (analytic) = 2.0100765290807612406337111562887
y[1] (numeric) = 2.0100765290807612406339995809399
absolute error = 2.884246512e-22
relative error = 1.4348938810399473054040586260562e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1423
y[1] (analytic) = 2.0100906589031242622476158211414
y[1] (numeric) = 2.0100906589031242622479048962341
absolute error = 2.890750927e-22
relative error = 1.4381196759440883032247866471248e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1424
y[1] (analytic) = 2.0101047985256968879591075096644
y[1] (numeric) = 2.0101047985256968879593972350283
absolute error = 2.897253639e-22
relative error = 1.4413445712507023449315460409171e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=144.9MB, alloc=4.2MB, time=18.97
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1425
y[1] (analytic) = 2.0101189479482019791583289008599
y[1] (numeric) = 2.0101189479482019791586192763244
absolute error = 2.903754645e-22
relative error = 1.4445685654393551802188427710242e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1426
y[1] (analytic) = 2.010133107170362213000664362175
y[1] (numeric) = 2.0101331071703622130009553875695
absolute error = 2.910253945e-22
relative error = 1.4477916584821221041145130492056e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1427
y[1] (analytic) = 2.0101472761919000824282595156557
y[1] (numeric) = 2.0101472761919000824285511908096
absolute error = 2.916751539e-22
relative error = 1.4510138503511074690594343591447e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1428
y[1] (analytic) = 2.0101614550125378961915541747763
y[1] (numeric) = 2.0101614550125378961918464995187
absolute error = 2.923247424e-22
relative error = 1.4542351395260272517674518681593e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1429
y[1] (analytic) = 2.0101756436319977788708286484335
y[1] (numeric) = 2.0101756436319977788711216225935
absolute error = 2.929741600e-22
relative error = 1.4574555259790755233910716372571e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.143
y[1] (analytic) = 2.010189842050001670897763408593
y[1] (numeric) = 2.0101898420500016708980570319997
absolute error = 2.936234067e-22
relative error = 1.4606750096824754569012837952057e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1431
y[1] (analytic) = 2.010204050266271328577012118073
y[1] (numeric) = 2.0102040502662713285773063905552
absolute error = 2.942724822e-22
relative error = 1.4638935891160935175365342102579e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1432
y[1] (analytic) = 2.0102182682805283241077880149468
y[1] (numeric) = 2.0102182682805283241080829363334
absolute error = 2.949213866e-22
relative error = 1.4671112647497011680823651936306e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1433
y[1] (analytic) = 2.0102324960924940456054636500475
y[1] (numeric) = 2.0102324960924940456057592201673
absolute error = 2.955701198e-22
relative error = 1.4703280360581751393485797806764e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1434
y[1] (analytic) = 2.0102467337018896971231839740524
y[1] (numeric) = 2.0102467337018896971234801927339
absolute error = 2.962186815e-22
relative error = 1.4735439015215326392789300571448e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1435
y[1] (analytic) = 2.010260981108436298673492770624
y[1] (numeric) = 2.0102609811084362986737896376958
absolute error = 2.968670718e-22
relative error = 1.4767588616096537243657361779231e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
memory used=148.7MB, alloc=4.2MB, time=19.47
x[1] = 0.1436
y[1] (analytic) = 2.0102752383118546862499724320844
y[1] (numeric) = 2.010275238311854686250269947375
absolute error = 2.975152906e-22
relative error = 1.4799729157975448885698803847193e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1437
y[1] (analytic) = 2.0102895053118655118488970740948
y[1] (numeric) = 2.0102895053118655118491952374325
absolute error = 2.981633377e-22
relative error = 1.4831860630628151338211182791407e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1438
y[1] (analytic) = 2.0103037821081892434908989858116
y[1] (numeric) = 2.0103037821081892434911977970246
absolute error = 2.988112130e-22
relative error = 1.4863983028805681727982717343258e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1439
y[1] (analytic) = 2.0103180687005461652426484119889
y[1] (numeric) = 2.0103180687005461652429478709054
absolute error = 2.994589165e-22
relative error = 1.4896096352233848013824633478855e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.144
y[1] (analytic) = 2.0103323650886563772385466634942
y[1] (numeric) = 2.0103323650886563772388467699423
absolute error = 3.001064481e-22
relative error = 1.4928200595664448657721369187744e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1441
y[1] (analytic) = 2.0103466712722397957024325527031
y[1] (numeric) = 2.0103466712722397957027333065108
absolute error = 3.007538077e-22
relative error = 1.4960295753849716072340034780045e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1442
y[1] (analytic) = 2.010360987251016152969302150236
y[1] (numeric) = 2.010360987251016152969603551231
absolute error = 3.014009950e-22
relative error = 1.4992381811593854807433533653354e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1443
y[1] (analytic) = 2.0103753130247049975070418594975
y[1] (numeric) = 2.0103753130247049975073439075077
absolute error = 3.020480102e-22
relative error = 1.5024458778572765324904637172758e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1444
y[1] (analytic) = 2.0103896485930256939381748054807
y[1] (numeric) = 2.0103896485930256939384775003338
absolute error = 3.026948531e-22
relative error = 1.5056526644565716963096796177861e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1445
y[1] (analytic) = 2.0104039939556974230616205342903
y[1] (numeric) = 2.0104039939556974230619238758138
absolute error = 3.033415235e-22
relative error = 1.5088585399352555810504485925702e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1446
y[1] (analytic) = 2.0104183491124391818744680198422
y[1] (numeric) = 2.0104183491124391818747720078636
absolute error = 3.039880214e-22
relative error = 1.5120635042661883388122959271403e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1447
y[1] (analytic) = 2.0104327140629697835937619741934
y[1] (numeric) = 2.0104327140629697835940666085401
absolute error = 3.046343467e-22
relative error = 1.5152675569248541037488278425166e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=152.5MB, alloc=4.2MB, time=19.98
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1448
y[1] (analytic) = 2.0104470888070078576783024579524
y[1] (numeric) = 2.0104470888070078576786077384519
absolute error = 3.052804995e-22
relative error = 1.5184706983815841736551098830573e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1449
y[1] (analytic) = 2.0104614733442718498504577872216
y[1] (numeric) = 2.0104614733442718498507637137009
absolute error = 3.059264793e-22
relative error = 1.5216729261223355195608389362343e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.145
y[1] (analytic) = 2.0104758676744800221179907335171
y[1] (numeric) = 2.0104758676744800221182973058033
absolute error = 3.065722862e-22
relative error = 1.5248742406175337534957496260186e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1451
y[1] (analytic) = 2.0104902717973504527958980131143
y[1] (numeric) = 2.0104902717973504527962052310344
absolute error = 3.072179201e-22
relative error = 1.5280746413428374122280739609022e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1452
y[1] (analytic) = 2.0105046857126010365282630622612
y[1] (numeric) = 2.0105046857126010365285709256423
absolute error = 3.078633811e-22
relative error = 1.5312741287687237936630296685000e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1453
y[1] (analytic) = 2.0105191094199494843101220947027
y[1] (numeric) = 2.0105191094199494843104306033715
absolute error = 3.085086688e-22
relative error = 1.5344727008787654256401311451971e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1454
y[1] (analytic) = 2.0105335429191133235093434379538
y[1] (numeric) = 2.0105335429191133235096525917371
absolute error = 3.091537833e-22
relative error = 1.5376703581435234203443613931722e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1455
y[1] (analytic) = 2.0105479862098098978885201447626
y[1] (numeric) = 2.010547986209809897888829943487
absolute error = 3.097987244e-22
relative error = 1.5408670995414435391573039159850e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1456
y[1] (analytic) = 2.0105624392917563676268758761965
y[1] (numeric) = 2.0105624392917563676271863196886
absolute error = 3.104434921e-22
relative error = 1.5440629250457761135968954870946e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1457
y[1] (analytic) = 2.0105769021646697093421840527873
y[1] (numeric) = 2.0105769021646697093424951408735
absolute error = 3.110880862e-22
relative error = 1.5472578336350615761017516363799e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1458
y[1] (analytic) = 2.0105913748282667161127002701663
y[1] (numeric) = 2.010591374828266716113012002673
absolute error = 3.117325067e-22
relative error = 1.5504518252826306804707366534521e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=156.4MB, alloc=4.2MB, time=20.49
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1459
y[1] (analytic) = 2.010605857282263997499107975621
y[1] (numeric) = 2.0106058572822639974994203523745
absolute error = 3.123767535e-22
relative error = 1.5536448994644811581204181422874e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.146
y[1] (analytic) = 2.0106203495263779795664774020004
y[1] (numeric) = 2.0106203495263779795667904228266
absolute error = 3.130208262e-22
relative error = 1.5568370541645777687862359394120e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1461
y[1] (analytic) = 2.0106348515603249049062377553947
y[1] (numeric) = 2.0106348515603249049065514201199
absolute error = 3.136647252e-22
relative error = 1.5600282913458149820962273036088e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1462
y[1] (analytic) = 2.0106493633838208326581626530171
y[1] (numeric) = 2.0106493633838208326584769614673
absolute error = 3.143084502e-22
relative error = 1.5632186094895970838048939538952e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1463
y[1] (analytic) = 2.0106638849965816385323688077055
y[1] (numeric) = 2.0106638849965816385326837597065
absolute error = 3.149520010e-22
relative error = 1.5664080075747491474815456146080e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1464
y[1] (analytic) = 2.0106784163983230148313279554681
y[1] (numeric) = 2.0106784163983230148316435508457
absolute error = 3.155953776e-22
relative error = 1.5695964855748437077752821983230e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1465
y[1] (analytic) = 2.0106929575887604704718920224902
y[1] (numeric) = 2.0106929575887604704722082610701
absolute error = 3.162385799e-22
relative error = 1.5727840429661419095091453350603e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.1466
y[1] (analytic) = 2.0107075085676093310073315280187
y[1] (numeric) = 2.0107075085676093310076484096265
absolute error = 3.168816078e-22
relative error = 1.5759706792249488815645069415211e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.186
x[1] = 0.1467
y[1] (analytic) = 2.0107220693345847386493872195395
y[1] (numeric) = 2.0107220693345847386497047440008
absolute error = 3.175244613e-22
relative error = 1.5791563943249475373009787964085e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.186
x[1] = 0.1468
y[1] (analytic) = 2.0107366398894016522903349366604
y[1] (numeric) = 2.0107366398894016522906531038005
absolute error = 3.181671401e-22
relative error = 1.5823411867478598891833312730849e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.186
x[1] = 0.1469
y[1] (analytic) = 2.0107512202317748475250637001098
y[1] (numeric) = 2.0107512202317748475253825097541
absolute error = 3.188096443e-22
relative error = 1.5855250569647871066191960490015e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.186
memory used=160.2MB, alloc=4.2MB, time=20.99
x[1] = 0.147
y[1] (analytic) = 2.0107658103614189166731670222614
y[1] (numeric) = 2.0107658103614189166734864742351
absolute error = 3.194519737e-22
relative error = 1.5887080039548767115254654691695e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.186
x[1] = 0.1471
y[1] (analytic) = 2.0107804102780482688010474355903
y[1] (numeric) = 2.0107804102780482688013675297184
absolute error = 3.200941281e-22
relative error = 1.5918900266973347596693330059994e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.186
x[1] = 0.1472
y[1] (analytic) = 2.0107950199813771297440342354665
y[1] (numeric) = 2.0107950199813771297443549715742
absolute error = 3.207361077e-22
relative error = 1.5950711261606888217932465872786e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.186
x[1] = 0.1473
y[1] (analytic) = 2.0108096394711195421285144336896
y[1] (numeric) = 2.0108096394711195421288358116017
absolute error = 3.213779121e-22
relative error = 1.5982513003295945405911288304877e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.186
x[1] = 0.1474
y[1] (analytic) = 2.0108242687469893653940769191633
y[1] (numeric) = 2.0108242687469893653943989387047
absolute error = 3.220195414e-22
relative error = 1.6014305496753376212860246705780e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.186
x[1] = 0.1475
y[1] (analytic) = 2.0108389078087002758156698221123
y[1] (numeric) = 2.0108389078087002758159924831079
absolute error = 3.226609956e-22
relative error = 1.6046088741719141407486709238139e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.186
x[1] = 0.1476
y[1] (analytic) = 2.0108535566559657665257710782368
y[1] (numeric) = 2.0108535566559657665260943805111
absolute error = 3.233022743e-22
relative error = 1.6077862718041448692181055014568e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.186
x[1] = 0.1477
y[1] (analytic) = 2.0108682152884991475365721891998
y[1] (numeric) = 2.0108682152884991475368961325775
absolute error = 3.239433777e-22
relative error = 1.6109627435407240855787874371107e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.186
x[1] = 0.1478
y[1] (analytic) = 2.0108828837060135457621751758427
y[1] (numeric) = 2.0108828837060135457624997601483
absolute error = 3.245843056e-22
relative error = 1.6141382883611708100076564341166e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.186
x[1] = 0.1479
y[1] (analytic) = 2.0108975619082219050408027205184
y[1] (numeric) = 2.0108975619082219050411279455763
absolute error = 3.252250579e-22
relative error = 1.6173129057423532235810413564933e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.186
x[1] = 0.148
y[1] (analytic) = 2.0109122498948369861570214949333
y[1] (numeric) = 2.0109122498948369861573473605677
absolute error = 3.258656344e-22
relative error = 1.6204865946638970716832624125844e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.186
x[1] = 0.1481
y[1] (analytic) = 2.0109269476655713668639786698848
y[1] (numeric) = 2.0109269476655713668643051759198
absolute error = 3.265060350e-22
relative error = 1.6236593546027700746881228622127e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=164.0MB, alloc=4.2MB, time=21.50
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.186
x[1] = 0.1482
y[1] (analytic) = 2.0109416552201374419056516032804
y[1] (numeric) = 2.0109416552201374419059787495403
absolute error = 3.271462599e-22
relative error = 1.6268311865278227299863800158706e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.186
x[1] = 0.1483
y[1] (analytic) = 2.0109563725582474230391107028235
y[1] (numeric) = 2.0109563725582474230394384891322
absolute error = 3.277863087e-22
relative error = 1.6300020884242512719161035431286e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1484
y[1] (analytic) = 2.0109710996796133390567954597453
y[1] (numeric) = 2.0109710996796133390571238859267
absolute error = 3.284261814e-22
relative error = 1.6331720602664287632649196817651e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1485
y[1] (analytic) = 2.0109858365839470358088036499652
y[1] (numeric) = 2.0109858365839470358091327158431
absolute error = 3.290658779e-22
relative error = 1.6363411015314895853839191545529e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1486
y[1] (analytic) = 2.0110005832709601762251936990567
y[1] (numeric) = 2.0110005832709601762255234044549
absolute error = 3.297053982e-22
relative error = 1.6395092121938774668873969547319e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1487
y[1] (analytic) = 2.0110153397403642403383002073954
y[1] (numeric) = 2.0110153397403642403386305521376
absolute error = 3.303447422e-22
relative error = 1.6426763917308047649429503837358e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1488
y[1] (analytic) = 2.0110301059918705253050626318631
y[1] (numeric) = 2.0110301059918705253053936157727
absolute error = 3.309839096e-22
relative error = 1.6458426386250131235392609242176e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1489
y[1] (analytic) = 2.0110448820251901454293671204802
y[1] (numeric) = 2.0110448820251901454296987433808
absolute error = 3.316229006e-22
relative error = 1.6490079538455876440396851087507e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.149
y[1] (analytic) = 2.0110596678400340321844014963381
y[1] (numeric) = 2.011059667840034032184733758053
absolute error = 3.322617149e-22
relative error = 1.6521723358753626730812944066296e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1491
y[1] (analytic) = 2.0110744634361129342350233871983
y[1] (numeric) = 2.0110744634361129342353562875508
absolute error = 3.329003525e-22
relative error = 1.6553357846889862545060079677386e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1492
y[1] (analytic) = 2.0110892688131374174601414971266
y[1] (numeric) = 2.0110892688131374174604750359398
absolute error = 3.335388132e-22
relative error = 1.6584982992666504429241869805415e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=167.8MB, alloc=4.2MB, time=22.01
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1493
y[1] (analytic) = 2.0111040839708178649751100165253
y[1] (numeric) = 2.0111040839708178649754441936224
absolute error = 3.341770971e-22
relative error = 1.6616598800803244666803364347334e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1494
y[1] (analytic) = 2.0111189089088644771541361669287
y[1] (numeric) = 2.0111189089088644771544709821326
absolute error = 3.348152039e-22
relative error = 1.6648205256130503067366222953093e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1495
y[1] (analytic) = 2.0111337436269872716527008769202
y[1] (numeric) = 2.0111337436269872716530363300538
absolute error = 3.354531336e-22
relative error = 1.6679802358396398417746977553271e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1496
y[1] (analytic) = 2.0111485881248960834299925855316
y[1] (numeric) = 2.0111485881248960834303286764177
absolute error = 3.360908861e-22
relative error = 1.6711390102377066545986288687600e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1497
y[1] (analytic) = 2.0111634424023005647713541694817
y[1] (numeric) = 2.011163442402300564771690897943
absolute error = 3.367284613e-22
relative error = 1.6742968482849090254794333177255e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1498
y[1] (analytic) = 2.0111783064589101853107429906084
y[1] (numeric) = 2.0111783064589101853110803564676
absolute error = 3.373658592e-22
relative error = 1.6774537499561709118581815440878e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1499
y[1] (analytic) = 2.0111931802944342320532040598488
y[1] (numeric) = 2.0111931802944342320535420629283
absolute error = 3.380030795e-22
relative error = 1.6806097137347944713870502874057e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.15
y[1] (analytic) = 2.0112080639085818093973563141175
y[1] (numeric) = 2.0112080639085818093976949542398
absolute error = 3.386401223e-22
relative error = 1.6837647400930104494349489820199e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1501
y[1] (analytic) = 2.0112229573010618391578920024342
y[1] (numeric) = 2.0112229573010618391582312794216
absolute error = 3.392769874e-22
relative error = 1.6869188280114351912346442138383e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1502
y[1] (analytic) = 2.0112378604715830605880891776461
y[1] (numeric) = 2.0112378604715830605884290913209
absolute error = 3.399136748e-22
relative error = 1.6900719774651570472389661344642e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1503
y[1] (analytic) = 2.0112527734198540304023372900929
y[1] (numeric) = 2.0112527734198540304026778402773
absolute error = 3.405501844e-22
relative error = 1.6932241879320919152920350562728e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1504
y[1] (analytic) = 2.0112676961455831227986758795567
y[1] (numeric) = 2.0112676961455831227990170660727
absolute error = 3.411865160e-22
relative error = 1.6963754583930016859019404994832e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=171.6MB, alloc=4.2MB, time=22.51
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1505
y[1] (analytic) = 2.0112826286484785294813463618392
y[1] (numeric) = 2.0112826286484785294816881845087
absolute error = 3.418226695e-22
relative error = 1.6995257883259030545212825551958e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1506
y[1] (analytic) = 2.0112975709282482596833569063065
y[1] (numeric) = 2.0112975709282482596836993649516
absolute error = 3.424586451e-22
relative error = 1.7026751787004320442575164200137e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1507
y[1] (analytic) = 2.0113125229846001401890604007398
y[1] (numeric) = 2.0113125229846001401894034951822
absolute error = 3.430944424e-22
relative error = 1.7058236275030986045949936987837e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1508
y[1] (analytic) = 2.0113274848172418153567454998266
y[1] (numeric) = 2.0113274848172418153570892298879
absolute error = 3.437300613e-22
relative error = 1.7089711342120542155751024662681e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1509
y[1] (analytic) = 2.0113424564258807471412407536287
y[1] (numeric) = 2.0113424564258807471415851191306
absolute error = 3.443655019e-22
relative error = 1.7121176992998560932422514904977e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.151
y[1] (analytic) = 2.0113574378102242151165318123588
y[1] (numeric) = 2.0113574378102242151168768131228
absolute error = 3.450007640e-22
relative error = 1.7152633217475468142855598821464e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1511
y[1] (analytic) = 2.0113724289699793164983917037958
y[1] (numeric) = 2.0113724289699793164987373396432
absolute error = 3.456358474e-22
relative error = 1.7184080005362287794940882445283e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1512
y[1] (analytic) = 2.0113874299048529661670241796672
y[1] (numeric) = 2.0113874299048529661673704504194
absolute error = 3.462707522e-22
relative error = 1.7215517361385720409337523682382e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1513
y[1] (analytic) = 2.011402440614551896689720127327
y[1] (numeric) = 2.0114024406145518966900670328053
absolute error = 3.469054783e-22
relative error = 1.7246945280329309467214231910647e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1514
y[1] (analytic) = 2.0114174610987826583435270430519
y[1] (numeric) = 2.0114174610987826583438745830775
absolute error = 3.475400256e-22
relative error = 1.7278363756977049179677652120583e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1515
y[1] (analytic) = 2.0114324913572516191379315632805
y[1] (numeric) = 2.0114324913572516191382797376743
absolute error = 3.481743938e-22
relative error = 1.7309772776170222284036625642034e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=175.4MB, alloc=4.3MB, time=23.02
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1516
y[1] (analytic) = 2.0114475313896649648375550501147
y[1] (numeric) = 2.0114475313896649648379038586978
absolute error = 3.488085831e-22
relative error = 1.7341172347608580343787809486539e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1517
y[1] (analytic) = 2.0114625811957286989848622274055
y[1] (numeric) = 2.0114625811957286989852116699987
absolute error = 3.494425932e-22
relative error = 1.7372562456134346032076428560602e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1518
y[1] (analytic) = 2.0114776407751486429228828637367
y[1] (numeric) = 2.0114776407751486429232329401608
absolute error = 3.500764241e-22
relative error = 1.7403943101504900210256081989481e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1519
y[1] (analytic) = 2.0114927101276304358179464986253
y[1] (numeric) = 2.0114927101276304358182972087009
absolute error = 3.507100756e-22
relative error = 1.7435314273535062048843247749322e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.152
y[1] (analytic) = 2.01150778925287953468243020825
y[1] (numeric) = 2.0115077892528795346827815517979
absolute error = 3.513435479e-22
relative error = 1.7466675981925832406131346951893e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1521
y[1] (analytic) = 2.0115228781506012143975194070212
y[1] (numeric) = 2.0115228781506012143978713838618
absolute error = 3.519768406e-22
relative error = 1.7498028206550070221240362584724e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1522
y[1] (analytic) = 2.0115379768205005677359816813003
y[1] (numeric) = 2.0115379768205005677363342912539
absolute error = 3.526099536e-22
relative error = 1.7529370942195496084372197475109e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1523
y[1] (analytic) = 2.0115530852622825053849536515778
y[1] (numeric) = 2.0115530852622825053853068944648
absolute error = 3.532428870e-22
relative error = 1.7560704193592849928581628839808e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1524
y[1] (analytic) = 2.0115682034756517559687408594162
y[1] (numeric) = 2.0115682034756517559690947350568
absolute error = 3.538756406e-22
relative error = 1.7592027950559288600101870306861e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1525
y[1] (analytic) = 2.0115833314603128660716306754605
y[1] (numeric) = 2.0115833314603128660719851836749
absolute error = 3.545082144e-22
relative error = 1.7623342212854988524579082567112e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1526
y[1] (analytic) = 2.0115984692159702002607182248204
y[1] (numeric) = 2.0115984692159702002610733654286
absolute error = 3.551406082e-22
relative error = 1.7654646970298088031748467019856e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=179.2MB, alloc=4.3MB, time=23.52
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1527
y[1] (analytic) = 2.011613616742327941108745326123
y[1] (numeric) = 2.0116136167423279411091010989451
absolute error = 3.557728221e-22
relative error = 1.7685942227620729586273633038467e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1528
y[1] (analytic) = 2.011628774039090089216952440536
y[1] (numeric) = 2.0116287740390900892173088453918
absolute error = 3.564048558e-22
relative error = 1.7717227969670825546656493729953e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1529
y[1] (analytic) = 2.0116439411059604632379436270565
y[1] (numeric) = 2.0116439411059604632383006637656
absolute error = 3.570367091e-22
relative error = 1.7748504186268100749665643907073e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.153
y[1] (analytic) = 2.0116591179426426998985645003615
y[1] (numeric) = 2.0116591179426426998989221687437
absolute error = 3.576683822e-22
relative error = 1.7779770887116969115891300862070e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1531
y[1] (analytic) = 2.0116743045488402540227931875128
y[1] (numeric) = 2.0116743045488402540231514873878
absolute error = 3.582998750e-22
relative error = 1.7811028067008898290970931017667e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1532
y[1] (analytic) = 2.0116895009242563985546442798069
y[1] (numeric) = 2.0116895009242563985550032109942
absolute error = 3.589311873e-22
relative error = 1.7842275715764864560325128854144e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1533
y[1] (analytic) = 2.0117047070685942245810857760591
y[1] (numeric) = 2.011704707068594224581445338378
absolute error = 3.595623189e-22
relative error = 1.7873513823206449443754189991936e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1534
y[1] (analytic) = 2.0117199229815566413549690136091
y[1] (numeric) = 2.011719922981556641355329206879
absolute error = 3.601932699e-22
relative error = 1.7904742394068452830757542385578e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1535
y[1] (analytic) = 2.0117351486628463763179715833348
y[1] (numeric) = 2.0117351486628463763183324073749
absolute error = 3.608240401e-22
relative error = 1.7935961418173329528258986272666e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1536
y[1] (analytic) = 2.0117503841121659751235532249557
y[1] (numeric) = 2.0117503841121659751239146795852
absolute error = 3.614546295e-22
relative error = 1.7967170895285731808921454681140e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1537
y[1] (analytic) = 2.0117656293292178016599246989098
y[1] (numeric) = 2.0117656293292178016602867839477
absolute error = 3.620850379e-22
relative error = 1.7998370815229101384925852359187e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1538
y[1] (analytic) = 2.0117808843137040380730296310818
y[1] (numeric) = 2.0117808843137040380733923463471
absolute error = 3.627152653e-22
relative error = 1.8029561177768927370844408247920e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=183.1MB, alloc=4.3MB, time=24.02
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1539
y[1] (analytic) = 2.0117961490653266847895393266625
y[1] (numeric) = 2.011796149065326684789902671974
absolute error = 3.633453115e-22
relative error = 1.8060741972729639419387460101974e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.154
y[1] (analytic) = 2.011811423583787560539860549414
y[1] (numeric) = 2.0118114235837875605402245245905
absolute error = 3.639751765e-22
relative error = 1.8091913199877564333495970123522e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1541
y[1] (analytic) = 2.0118267078687883023811562626163
y[1] (numeric) = 2.0118267078687883023815208674765
absolute error = 3.646048602e-22
relative error = 1.8123074854008727782367159925722e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.1542
y[1] (analytic) = 2.0118420019200303657203793279666
y[1] (numeric) = 2.011842001920030365720744562329
absolute error = 3.652343624e-22
relative error = 1.8154226924949043233971321366752e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1543
y[1] (analytic) = 2.011857305737215024337319158702
y[1] (numeric) = 2.0118573057372150243376850223853
absolute error = 3.658636833e-22
relative error = 1.8185369422407158463297160641051e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1544
y[1] (analytic) = 2.0118726193200433704076613232156
y[1] (numeric) = 2.0118726193200433704080278160382
absolute error = 3.664928226e-22
relative error = 1.8216502331239256851216766083106e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1545
y[1] (analytic) = 2.0118879426682163145260600954308
y[1] (numeric) = 2.0118879426682163145264272172109
absolute error = 3.671217801e-22
relative error = 1.8247625641272737865604990612605e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1546
y[1] (analytic) = 2.0119032757814345857292239482001
y[1] (numeric) = 2.011903275781434585729591698756
absolute error = 3.677505559e-22
relative error = 1.8278739357246864108175049081753e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1547
y[1] (analytic) = 2.0119186186593987315190139859919
y[1] (numeric) = 2.0119186186593987315193823651416
absolute error = 3.683791497e-22
relative error = 1.8309843464019533440946472045958e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1548
y[1] (analytic) = 2.0119339713018091178855553131244
y[1] (numeric) = 2.0119339713018091178859243206861
absolute error = 3.690075617e-22
relative error = 1.8340937971301115671498308763285e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1549
y[1] (analytic) = 2.0119493337083659293303613338095
y[1] (numeric) = 2.0119493337083659293307309696012
absolute error = 3.696357917e-22
relative error = 1.8372022868920767671627190624258e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=186.9MB, alloc=4.3MB, time=24.53
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.155
y[1] (analytic) = 2.0119647058787691688894709802606
y[1] (numeric) = 2.0119647058787691688898412441002
absolute error = 3.702638396e-22
relative error = 1.8403098151678522975013174900090e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1551
y[1] (analytic) = 2.0119800878127186581565988651227
y[1] (numeric) = 2.0119800878127186581569697568279
absolute error = 3.708917052e-22
relative error = 1.8434163809404646023507944973399e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1552
y[1] (analytic) = 2.011995479509914037306298354477
y[1] (numeric) = 2.0119954795099140373066698738655
absolute error = 3.715193885e-22
relative error = 1.8465219841870392791614965616049e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1553
y[1] (analytic) = 2.0120108809700547651171375576735
y[1] (numeric) = 2.0120108809700547651175097045629
absolute error = 3.721468894e-22
relative error = 1.8496266243877174656854582811945e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1554
y[1] (analytic) = 2.0120262921928401189948882302401
y[1] (numeric) = 2.012026292192840118995261004448
absolute error = 3.727742079e-22
relative error = 1.8527303015196976701284112002931e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1555
y[1] (analytic) = 2.0120417131779691949957275861182
y[1] (numeric) = 2.0120417131779691949961009874621
absolute error = 3.734013439e-22
relative error = 1.8558330150632015710415383565236e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1556
y[1] (analytic) = 2.01205714392514090784945301547
y[1] (numeric) = 2.0120571439251409078498270437671
absolute error = 3.740282971e-22
relative error = 1.8589347635044892983233471374408e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1557
y[1] (analytic) = 2.0120725844340539909827097043024
y[1] (numeric) = 2.0120725844340539909830843593699
absolute error = 3.746550675e-22
relative error = 1.8620355468208974112987154849222e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1558
y[1] (analytic) = 2.012088034704406996542231152151
y[1] (numeric) = 2.0120880347044069965426064338062
absolute error = 3.752816552e-22
relative error = 1.8651353654867894309304132967814e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1559
y[1] (analytic) = 2.0121034947358982954180925840648
y[1] (numeric) = 2.0121034947358982954184684921247
absolute error = 3.759080599e-22
relative error = 1.8682342179885751063361825154361e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.156
y[1] (analytic) = 2.0121189645282260772669772531296
y[1] (numeric) = 2.0121189645282260772673537874112
absolute error = 3.765342816e-22
relative error = 1.8713321043037063604157230475650e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
memory used=190.7MB, alloc=4.3MB, time=25.04
x[1] = 0.1561
y[1] (analytic) = 2.0121344440810883505354556297695
y[1] (numeric) = 2.0121344440810883505358327900897
absolute error = 3.771603202e-22
relative error = 1.8744290239126812752155921832922e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1562
y[1] (analytic) = 2.0121499333941829424832774740599
y[1] (numeric) = 2.0121499333941829424836552602355
absolute error = 3.777861756e-22
relative error = 1.8775249762960440782708708587258e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1563
y[1] (analytic) = 2.0121654324672074992066767872866
y[1] (numeric) = 2.0121654324672074992070551991344
absolute error = 3.784118478e-22
relative error = 1.8806199614313621957011615716136e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1564
y[1] (analytic) = 2.0121809412998594856616896389832
y[1] (numeric) = 2.0121809412998594856620686763198
absolute error = 3.790373366e-22
relative error = 1.8837139783022875254102413576425e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1565
y[1] (analytic) = 2.0121964598918361856874848656753
y[1] (numeric) = 2.0121964598918361856878645283171
absolute error = 3.796626418e-22
relative error = 1.8868070258925334978435400529385e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1566
y[1] (analytic) = 2.0122119882428347020297076375605
y[1] (numeric) = 2.0122119882428347020300879253241
absolute error = 3.802877636e-22
relative error = 1.8898991051737372483683485635927e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1567
y[1] (analytic) = 2.0122275263525519563638358893514
y[1] (numeric) = 2.0122275263525519563642168020531
absolute error = 3.809127017e-22
relative error = 1.8929902146327276692137021588129e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1568
y[1] (analytic) = 2.0122430742206846893185496115033
y[1] (numeric) = 2.0122430742206846893189311489593
absolute error = 3.815374560e-22
relative error = 1.8960803537503263366727848847731e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1569
y[1] (analytic) = 2.0122586318469294604991129980518
y[1] (numeric) = 2.0122586318469294604994951600783
absolute error = 3.821620265e-22
relative error = 1.8991695225043551476306369750058e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.157
y[1] (analytic) = 2.0122741992309826485107694472802
y[1] (numeric) = 2.0122741992309826485111522336934
absolute error = 3.827864132e-22
relative error = 1.9022577208726669528215579887483e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1571
y[1] (analytic) = 2.0122897763725404509821494114353
y[1] (numeric) = 2.0122897763725404509825328220511
absolute error = 3.834106158e-22
relative error = 1.9053449473423065953303026563328e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1572
y[1] (analytic) = 2.0123053632712988845886910917083
y[1] (numeric) = 2.0123053632712988845890751263427
absolute error = 3.840346344e-22
relative error = 1.9084312023881659472960595571934e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=194.5MB, alloc=4.3MB, time=25.55
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1573
y[1] (analytic) = 2.0123209599269537850760739746978
y[1] (numeric) = 2.0123209599269537850764586331665
absolute error = 3.846584687e-22
relative error = 1.9115164844973979915993244159018e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1574
y[1] (analytic) = 2.0123365663392008072836652065661
y[1] (numeric) = 2.0123365663392008072840504886848
absolute error = 3.852821187e-22
relative error = 1.9146007936480372365149576404339e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1575
y[1] (analytic) = 2.0123521825077354251679788011018
y[1] (numeric) = 2.0123521825077354251683647066864
absolute error = 3.859055846e-22
relative error = 1.9176841308120110322241187612672e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1576
y[1] (analytic) = 2.0123678084322529318261476778993
y[1] (numeric) = 2.0123678084322529318265342067652
absolute error = 3.865288659e-22
relative error = 1.9207664934827575277126719383032e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1577
y[1] (analytic) = 2.0123834441124484395194085268599
y[1] (numeric) = 2.0123834441124484395197956788226
absolute error = 3.871519627e-22
relative error = 1.9238478821353622246263915977529e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1578
y[1] (analytic) = 2.0123990895480168796965994952247
y[1] (numeric) = 2.0123990895480168796969872700996
absolute error = 3.877748749e-22
relative error = 1.9269282962510875831992559125020e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.1579
y[1] (analytic) = 2.0124147447386530030176706933407
y[1] (numeric) = 2.0124147447386530030180590909431
absolute error = 3.883976024e-22
relative error = 1.9300077353112425767762199202844e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.158
y[1] (analytic) = 2.0124304096840513793772075153639
y[1] (numeric) = 2.012430409684051379377596535509
absolute error = 3.890201451e-22
relative error = 1.9330861987971827150310887497802e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1581
y[1] (analytic) = 2.0124460843839063979279667710998
y[1] (numeric) = 2.0124460843839063979283564136026
absolute error = 3.896425028e-22
relative error = 1.9361636856934023448980558603453e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1582
y[1] (analytic) = 2.0124617688379122671044256251797
y[1] (numeric) = 2.0124617688379122671048158898553
absolute error = 3.902646756e-22
relative error = 1.9392401964751694356220232051128e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1583
y[1] (analytic) = 2.0124774630457630146463433397709
y[1] (numeric) = 2.0124774630457630146467342264344
absolute error = 3.908866635e-22
relative error = 1.9423157311208676013624966809005e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=198.3MB, alloc=4.3MB, time=26.05
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1584
y[1] (analytic) = 2.0124931670071524876223358170154
y[1] (numeric) = 2.0124931670071524876227273254815
absolute error = 3.915084661e-22
relative error = 1.9453902876213271734537899886487e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1585
y[1] (analytic) = 2.0125088807217743524534629373893
y[1] (numeric) = 2.0125088807217743524538550674728
absolute error = 3.921300835e-22
relative error = 1.9484638664519327509812953228980e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1586
y[1] (analytic) = 2.0125246041893220949368286901774
y[1] (numeric) = 2.0125246041893220949372214416929
absolute error = 3.927515155e-22
relative error = 1.9515364665974195601924477749301e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1587
y[1] (analytic) = 2.0125403374094890202691940922496
y[1] (numeric) = 2.0125403374094890202695874650117
absolute error = 3.933727621e-22
relative error = 1.9546080880363539511107700825297e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1588
y[1] (analytic) = 2.0125560803819682530706028913297
y[1] (numeric) = 2.0125560803819682530709968851529
absolute error = 3.939938232e-22
relative error = 1.9576787302504528844397511052817e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1589
y[1] (analytic) = 2.0125718331064527374080200499404
y[1] (numeric) = 2.0125718331064527374084146646392
absolute error = 3.946146988e-22
relative error = 1.9607483932183567264371671401141e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.159
y[1] (analytic) = 2.0125875955826352368189830062114
y[1] (numeric) = 2.0125875955826352368193782416
absolute error = 3.952353886e-22
relative error = 1.9638170754281186818051392484644e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1591
y[1] (analytic) = 2.0126033678102083343352657077303
y[1] (numeric) = 2.012603367810208334335661563623
absolute error = 3.958558927e-22
relative error = 1.9668847773553454264441442918157e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1592
y[1] (analytic) = 2.0126191497888644325065554146198
y[1] (numeric) = 2.0126191497888644325069518908307
absolute error = 3.964762109e-22
relative error = 1.9699514979850643016397999636446e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1593
y[1] (analytic) = 2.0126349415182957534241422680177
y[1] (numeric) = 2.0126349415182957534245393643609
absolute error = 3.970963432e-22
relative error = 1.9730172372960872413258996348899e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1594
y[1] (analytic) = 2.0126507429981943387446216201388
y[1] (numeric) = 2.0126507429981943387450193364283
absolute error = 3.977162895e-22
relative error = 1.9760819947704002286975071729793e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
memory used=202.1MB, alloc=4.3MB, time=26.57
x[1] = 0.1595
y[1] (analytic) = 2.0126665542282520497136091220927
y[1] (numeric) = 2.0126665542282520497140074581423
absolute error = 3.983360496e-22
relative error = 1.9791457693931828120665377050450e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1596
y[1] (analytic) = 2.0126823752081605671894685656311
y[1] (numeric) = 2.0126823752081605671898675212547
absolute error = 3.989556236e-22
relative error = 1.9822085616402251952552374591109e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1597
y[1] (analytic) = 2.0126982059376113916670524749978
y[1] (numeric) = 2.0126982059376113916674520500091
absolute error = 3.995750113e-22
relative error = 1.9852703704967968037131197588793e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1598
y[1] (analytic) = 2.0127140464162958433014554450487
y[1] (numeric) = 2.0127140464162958433018556392613
absolute error = 4.001942126e-22
relative error = 1.9883311954450711813781435035139e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1599
y[1] (analytic) = 2.0127298966439050619317802218122
y[1] (numeric) = 2.0127298966439050619321810350396
absolute error = 4.008132274e-22
relative error = 1.9913910359672688200856851560329e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.16
y[1] (analytic) = 2.0127457566201300071049165216553
y[1] (numeric) = 2.0127457566201300071053179537109
absolute error = 4.014320556e-22
relative error = 1.9944498915456571826379206263120e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1601
y[1] (analytic) = 2.0127616263446614580993325852197
y[1] (numeric) = 2.012761626344661458099734635917
absolute error = 4.020506973e-22
relative error = 1.9975077626562103693237715628493e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1602
y[1] (analytic) = 2.0127775058171900139488794622917
y[1] (numeric) = 2.0127775058171900139492821314438
absolute error = 4.026691521e-22
relative error = 2.0005646472907886299011501114475e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1603
y[1] (analytic) = 2.0127933950374060934666080237647
y[1] (numeric) = 2.0127933950374060934670113111849
absolute error = 4.032874202e-22
relative error = 2.0036205464222781705664887786158e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1604
y[1] (analytic) = 2.0128092940049999352685986968562
y[1] (numeric) = 2.0128092940049999352690026023576
absolute error = 4.039055014e-22
relative error = 2.0066754590362929597043747350911e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1605
y[1] (analytic) = 2.0128252027196615977978039197343
y[1] (numeric) = 2.0128252027196615977982084431299
absolute error = 4.045233956e-22
relative error = 2.0097293846153238595660920286416e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1606
y[1] (analytic) = 2.0128411211810809593479033117103
y[1] (numeric) = 2.0128411211810809593483084528129
absolute error = 4.051411026e-22
relative error = 2.0127823221450986275570355697965e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=206.0MB, alloc=4.3MB, time=27.07
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1607
y[1] (analytic) = 2.0128570493889477180871715551503
y[1] (numeric) = 2.0128570493889477180875773137729
absolute error = 4.057586226e-22
relative error = 2.0158342725986329392986358962605e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1608
y[1] (analytic) = 2.0128729873429513920823589852598
y[1] (numeric) = 2.0128729873429513920827653612152
absolute error = 4.063759554e-22
relative error = 2.0188852349617330813806351874405e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1609
y[1] (analytic) = 2.0128889350427813193225848838888
y[1] (numeric) = 2.0128889350427813193229918769895
absolute error = 4.069931007e-22
relative error = 2.0219352077234698218601938112149e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.161
y[1] (analytic) = 2.0129048924881266577432434735066
y[1] (numeric) = 2.0129048924881266577436510835653
absolute error = 4.076100587e-22
relative error = 2.0249841918569649114082220686839e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1611
y[1] (analytic) = 2.0129208596786763852499226074947
y[1] (numeric) = 2.0129208596786763852503308343237
absolute error = 4.082268290e-22
relative error = 2.0280321853545969177484891515466e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1612
y[1] (analytic) = 2.0129368366141192997423351528993
y[1] (numeric) = 2.0129368366141192997427439963112
absolute error = 4.088434119e-22
relative error = 2.0310791896863449670154440544790e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1613
y[1] (analytic) = 2.0129528232941440191382630617899
y[1] (numeric) = 2.012952823294144019138672521597
absolute error = 4.094598071e-22
relative error = 2.0341252033414765415288133069190e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1614
y[1] (analytic) = 2.0129688197184389813975141273623
y[1] (numeric) = 2.0129688197184389813979242033768
absolute error = 4.100760145e-22
relative error = 2.0371702258028953095476756326052e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1615
y[1] (analytic) = 2.0129848258866924445458914209267
y[1] (numeric) = 2.0129848258866924445463021129607
absolute error = 4.106920340e-22
relative error = 2.0402142565535522273294595249433e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1616
y[1] (analytic) = 2.0130008417985924866991754059192
y[1] (numeric) = 2.0130008417985924866995867137847
absolute error = 4.113078655e-22
relative error = 2.0432572950764455620804534625885e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1617
y[1] (analytic) = 2.0130168674538270060871187250707
y[1] (numeric) = 2.0130168674538270060875306485798
absolute error = 4.119235091e-22
relative error = 2.0462993418481545669686683834789e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=209.8MB, alloc=4.3MB, time=27.58
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.1618
y[1] (analytic) = 2.0130329028520837210774536568697
y[1] (numeric) = 2.0130329028520837210778661958342
absolute error = 4.125389645e-22
relative error = 2.0493403953582227192870916868957e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1619
y[1] (analytic) = 2.0130489479930501701999122374488
y[1] (numeric) = 2.0130489479930501702003253916805
absolute error = 4.131542317e-22
relative error = 2.0523804555865492520807562095187e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.162
y[1] (analytic) = 2.0130650028764137121702590440272
y[1] (numeric) = 2.0130650028764137121706728133378
absolute error = 4.137693106e-22
relative error = 2.0554195220163100061894902785853e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1621
y[1] (analytic) = 2.013081067501861525914336636037
y[1] (numeric) = 2.0130810675018615259147510202383
absolute error = 4.143842013e-22
relative error = 2.0584575951242302008501270525334e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1622
y[1] (analytic) = 2.0130971418690806105921236500616
y[1] (numeric) = 2.0130971418690806105925386489649
absolute error = 4.149989033e-22
relative error = 2.0614946724065686561781716793337e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1623
y[1] (analytic) = 2.0131132259777577856218055447083
y[1] (numeric) = 2.0131132259777577856222211581252
absolute error = 4.156134169e-22
relative error = 2.0645307553336395076918075624303e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1624
y[1] (analytic) = 2.0131293198275796907038579915431
y[1] (numeric) = 2.013129319827579690704274219285
absolute error = 4.162277419e-22
relative error = 2.0675658428920454758075775459431e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1625
y[1] (analytic) = 2.0131454234182327858451429082052
y[1] (numeric) = 2.0131454234182327858455597500832
absolute error = 4.168418780e-22
relative error = 2.0705999335717175467117423059691e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1626
y[1] (analytic) = 2.0131615367494033513830171298229
y[1] (numeric) = 2.0131615367494033513834345856482
absolute error = 4.174558253e-22
relative error = 2.0736330278495905354864695557623e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1627
y[1] (analytic) = 2.0131776598207774880094537148492
y[1] (numeric) = 2.0131776598207774880098717844331
absolute error = 4.180695839e-22
relative error = 2.0766651262026149944864764098069e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1628
y[1] (analytic) = 2.0131937926320411167951758814335
y[1] (numeric) = 2.0131937926320411167955945645869
absolute error = 4.186831534e-22
relative error = 2.0796962266241413456185367132573e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1629
memory used=213.6MB, alloc=4.3MB, time=28.09
y[1] (analytic) = 2.0132099351828799792138035704421
y[1] (numeric) = 2.0132099351828799792142228669758
absolute error = 4.192965337e-22
relative error = 2.0827263285977729154798741167857e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.163
y[1] (analytic) = 2.0132260874729796371660126312424
y[1] (numeric) = 2.0132260874729796371664325409674
absolute error = 4.199097250e-22
relative error = 2.0857554330973062500538701576020e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1631
y[1] (analytic) = 2.0132422495020254730037066263618
y[1] (numeric) = 2.013242249502025473004127149089
absolute error = 4.205227272e-22
relative error = 2.0887835396064040455802785187112e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1632
y[1] (analytic) = 2.013258421269702689554201251129
y[1] (numeric) = 2.0132584212697026895546223866689
absolute error = 4.211355399e-22
relative error = 2.0918106461186549497133270750617e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1633
y[1] (analytic) = 2.0132746027756963101444213644055
y[1] (numeric) = 2.0132746027756963101448431125687
absolute error = 4.217481632e-22
relative error = 2.0948367531112593155618996615020e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1634
y[1] (analytic) = 2.0132907940196911786251106265149
y[1] (numeric) = 2.013290794019691178625532987112
absolute error = 4.223605971e-22
relative error = 2.0978618605647340119774137804199e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1635
y[1] (analytic) = 2.0133069950013719593950537404723
y[1] (numeric) = 2.0133069950013719593954767133136
absolute error = 4.229728413e-22
relative error = 2.1008859669695419052371988479085e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1636
y[1] (analytic) = 2.0133232057204231374253112926147
y[1] (numeric) = 2.0133232057204231374257348775107
absolute error = 4.235848960e-22
relative error = 2.1039090732996817689566460003115e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1637
y[1] (analytic) = 2.0133394261765290182834671887374
y[1] (numeric) = 2.0133394261765290182838913854982
absolute error = 4.241967608e-22
relative error = 2.1069311775490286890335998719513e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1638
y[1] (analytic) = 2.0133556563693737281578886818289
y[1] (numeric) = 2.0133556563693737281583134902647
absolute error = 4.248084358e-22
relative error = 2.1099522801949697157873362265960e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1639
y[1] (analytic) = 2.013371896298641213881998987507
y[1] (numeric) = 2.0133718962986412138824244074279
absolute error = 4.254199209e-22
relative error = 2.1129723807215492012222759420504e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.164
y[1] (analytic) = 2.0133881459640152429585624832472
y[1] (numeric) = 2.0133881459640152429589885144632
absolute error = 4.260312160e-22
relative error = 2.1159914786128593007319890475584e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=217.4MB, alloc=4.3MB, time=28.60
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1641
y[1] (analytic) = 2.013404405365179403583982487499
y[1] (numeric) = 2.01340440536517940358440912982
absolute error = 4.266423210e-22
relative error = 2.1190095733530399958642127160710e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1642
y[1] (analytic) = 2.0134206745018171046726116147809
y[1] (numeric) = 2.0134206745018171046730388680167
absolute error = 4.272532358e-22
relative error = 2.1220266644262791170781059589956e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1643
y[1] (analytic) = 2.0134369533736115758810747028439
y[1] (numeric) = 2.0134369533736115758815025668042
absolute error = 4.278639603e-22
relative error = 2.1250427513168123664937379328648e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1644
y[1] (analytic) = 2.0134532419802458676326043079921
y[1] (numeric) = 2.0134532419802458676330327824867
absolute error = 4.284744946e-22
relative error = 2.1280578345022416647449669044170e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1645
y[1] (analytic) = 2.0134695403214028511413887646469
y[1] (numeric) = 2.0134695403214028511418178494852
absolute error = 4.290848383e-22
relative error = 2.1310719119769089784707102065939e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1646
y[1] (analytic) = 2.0134858483967652184369328052382
y[1] (numeric) = 2.0134858483967652184373625002298
absolute error = 4.296949916e-22
relative error = 2.1340849847151591724902510782554e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1647
y[1] (analytic) = 2.0135021662060154823884307365075
y[1] (numeric) = 2.0135021662060154823888610414618
absolute error = 4.303049543e-22
relative error = 2.1370970517047484119677640080761e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1648
y[1] (analytic) = 2.0135184937488359767291521683021
y[1] (numeric) = 2.0135184937488359767295830830284
absolute error = 4.309147263e-22
relative error = 2.1401081124301399954027608298438e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1649
y[1] (analytic) = 2.013534831024908856080840290941
y[1] (numeric) = 2.0135348310249088560812718152485
absolute error = 4.315243075e-22
relative error = 2.1431181663758452152792730773295e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.165
y[1] (analytic) = 2.0135511780339160959781226972295
y[1] (numeric) = 2.0135511780339160959785548309274
absolute error = 4.321336979e-22
relative error = 2.1461272135230583860753952628854e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1651
y[1] (analytic) = 2.0135675347755394928929347451993
y[1] (numeric) = 2.0135675347755394928933674880965
absolute error = 4.327428972e-22
relative error = 2.1491352523631128114047066035665e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=221.2MB, alloc=4.3MB, time=29.09
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1652
y[1] (analytic) = 2.0135839012494606642589554576464
y[1] (numeric) = 2.013583901249460664259388809552
absolute error = 4.333519056e-22
relative error = 2.1521422838705568078962632799738e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1653
y[1] (analytic) = 2.0136002774553610484960559545417
y[1] (numeric) = 2.0136002774553610484964899152645
absolute error = 4.339607228e-22
relative error = 2.1551483065368238462309729273100e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1654
y[1] (analytic) = 2.0136166633929219050347604143828
y[1] (numeric) = 2.0136166633929219050351949837317
absolute error = 4.345693489e-22
relative error = 2.1581533208399032233368495529463e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1655
y[1] (analytic) = 2.0136330590618243143407195605574
y[1] (numeric) = 2.0136330590618243143411547383411
absolute error = 4.351777837e-22
relative error = 2.1611573257679555856715665137490e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1656
y[1] (analytic) = 2.0136494644617491779391966687842
y[1] (numeric) = 2.0136494644617491779396324548113
absolute error = 4.357860271e-22
relative error = 2.1641603208058166527733279895995e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1657
y[1] (analytic) = 2.0136658795923772184395660916978
y[1] (numeric) = 2.0136658795923772184400024857769
absolute error = 4.363940791e-22
relative error = 2.1671623059349770217282220523140e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1658
y[1] (analytic) = 2.0136823044533889795598242966411
y[1] (numeric) = 2.0136823044533889795602612985807
absolute error = 4.370019396e-22
relative error = 2.1701632806403566054838152464903e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1659
y[1] (analytic) = 2.0136987390444648261511134127266
y[1] (numeric) = 2.013698739044464826151551022335
absolute error = 4.376096084e-22
relative error = 2.1731632439103248969961925022849e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.166
y[1] (analytic) = 2.0137151833652849442222572832272
y[1] (numeric) = 2.0137151833652849442226955003127
absolute error = 4.382170855e-22
relative error = 2.1761621957265049402547305053018e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1661
y[1] (analytic) = 2.0137316374155293409643100193554
y[1] (numeric) = 2.0137316374155293409647488437262
absolute error = 4.388243708e-22
relative error = 2.1791601355739613008867156149979e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1662
y[1] (analytic) = 2.0137481011948778447751170514866
y[1] (numeric) = 2.0137481011948778447755564829509
absolute error = 4.394314643e-22
relative error = 2.1821570634343932446579161591686e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1663
y[1] (analytic) = 2.0137645747030101052838886738832
y[1] (numeric) = 2.0137645747030101052843287122489
absolute error = 4.400383657e-22
relative error = 2.1851529777997849390191776906009e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=225.0MB, alloc=4.3MB, time=29.59
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1664
y[1] (analytic) = 2.01378105793960559337578607897
y[1] (numeric) = 2.0137810579396055933762267240452
absolute error = 4.406450752e-22
relative error = 2.1881478796450929238987792910804e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1665
y[1] (analytic) = 2.0137975509043436012165198772165
y[1] (numeric) = 2.0137975509043436012169611288091
absolute error = 4.412515926e-22
relative error = 2.1911417679589762947065097039219e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1666
y[1] (analytic) = 2.0138140535969032422769610986719
y[1] (numeric) = 2.0138140535969032422774029565896
absolute error = 4.418579177e-22
relative error = 2.1941346417301587468657265417412e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1667
y[1] (analytic) = 2.013830566016963451357764672203
y[1] (numeric) = 2.0138305660169634513582071362535
absolute error = 4.424640505e-22
relative error = 2.1971265009405608314093088902030e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1668
y[1] (analytic) = 2.0138470881642029846140053784816
y[1] (numeric) = 2.0138470881642029846144484484727
absolute error = 4.430699911e-22
relative error = 2.2001173460686972303402984894396e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.1669
y[1] (analytic) = 2.0138636200383004195798262727653
y[1] (numeric) = 2.0138636200383004195802699485044
absolute error = 4.436757391e-22
relative error = 2.2031071751103086468258209986238e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.167
y[1] (analytic) = 2.013880161638934155193099573514
y[1] (numeric) = 2.0138801616389341551935438548086
absolute error = 4.442812946e-22
relative error = 2.2060959885440025064553738774833e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.1671
y[1] (analytic) = 2.0138967129657824118201000128851
y[1] (numeric) = 2.0138967129657824118205448995426
absolute error = 4.448866575e-22
relative error = 2.2090837858553024607073238277970e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.1672
y[1] (analytic) = 2.0139132740185232312801906451456
y[1] (numeric) = 2.0139132740185232312806361369732
absolute error = 4.454918276e-22
relative error = 2.2120705660332349074616924924878e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.1673
y[1] (analytic) = 2.0139298447968344768705211090383
y[1] (numeric) = 2.0139298447968344768709672058433
absolute error = 4.460968050e-22
relative error = 2.2150563295565159460435986325057e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.1674
y[1] (analytic) = 2.0139464253003938333907383401405
y[1] (numeric) = 2.0139464253003938333911850417299
absolute error = 4.467015894e-22
relative error = 2.2180410749177273367077528081218e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=228.8MB, alloc=4.3MB, time=30.10
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.1675
y[1] (analytic) = 2.013963015528878807167709729246
y[1] (numeric) = 2.0139630155288788071681570354269
absolute error = 4.473061809e-22
relative error = 2.2210248025956658651516032262271e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.1676
y[1] (analytic) = 2.0139796154819667260802587228069
y[1] (numeric) = 2.0139796154819667260807066333863
absolute error = 4.479105794e-22
relative error = 2.2240075120760854278193812011476e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.1677
y[1] (analytic) = 2.0139962251593347395839128614625
y[1] (numeric) = 2.0139962251593347395843613762473
absolute error = 4.485147848e-22
relative error = 2.2269892028447884778475887820955e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.1678
y[1] (analytic) = 2.0140128445606598187356642526871
y[1] (numeric) = 2.014012844560659818736113371484
absolute error = 4.491187969e-22
relative error = 2.2299698738911048844920976396965e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.1679
y[1] (analytic) = 2.0140294736856187562187424735823
y[1] (numeric) = 2.0140294736856187562191921961981
absolute error = 4.497226158e-22
relative error = 2.2329495256939807074483969123308e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.168
y[1] (analytic) = 2.0140461125338881663673998998411
y[1] (numeric) = 2.0140461125338881663678502260824
absolute error = 4.503262413e-22
relative error = 2.2359281572428389444940282073680e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.1681
y[1] (analytic) = 2.0140627611051444851917094569062
y[1] (numeric) = 2.0140627611051444851921603865795
absolute error = 4.509296733e-22
relative error = 2.2389057680236765003314619438088e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.1682
y[1] (analytic) = 2.0140794193990639704023747893464
y[1] (numeric) = 2.0140794193990639704028263222581
absolute error = 4.515329117e-22
relative error = 2.2418823575225389487146233041860e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.1683
y[1] (analytic) = 2.0140960874153227014355528444699
y[1] (numeric) = 2.0140960874153227014360049804265
absolute error = 4.521359566e-22
relative error = 2.2448579262185218384488676774003e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.1684
y[1] (analytic) = 2.0141127651535965794776888661958
y[1] (numeric) = 2.0141127651535965794781416050035
absolute error = 4.527388077e-22
relative error = 2.2478324726047504202025324888259e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.1685
y[1] (analytic) = 2.0141294526135613274903637951977
y[1] (numeric) = 2.0141294526135613274908171366628
absolute error = 4.533414651e-22
relative error = 2.2508059971604012294930644898581e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=232.7MB, alloc=4.3MB, time=30.61
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.1686
y[1] (analytic) = 2.0141461497948924902351540713384
y[1] (numeric) = 2.014146149794892490235608015267
absolute error = 4.539439286e-22
relative error = 2.2537784988752017302547013471365e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.1687
y[1] (analytic) = 2.0141628566972654342985038344068
y[1] (numeric) = 2.0141628566972654342989583806048
absolute error = 4.545461980e-22
relative error = 2.2567499767389446126127853479940e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.1688
y[1] (analytic) = 2.0141795733203553481166095191693
y[1] (numeric) = 2.0141795733203553481170646674429
absolute error = 4.551482736e-22
relative error = 2.2597204322238881499612452800639e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.1689
y[1] (analytic) = 2.0141962996638372420003168407489
y[1] (numeric) = 2.0141962996638372420007725909038
absolute error = 4.557501549e-22
relative error = 2.2626898628304659604364352229893e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.169
y[1] (analytic) = 2.0142130357273859481600301663358
y[1] (numeric) = 2.0142130357273859481604865181778
absolute error = 4.563518420e-22
relative error = 2.2656582690380573432090513413231e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.1691
y[1] (analytic) = 2.0142297815106761207306342692406
y[1] (numeric) = 2.0142297815106761207310912225756
absolute error = 4.569533350e-22
relative error = 2.2686256513260574479564804342665e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.1692
y[1] (analytic) = 2.014246537013382235796428461294
y[1] (numeric) = 2.0142465370133822357968860159274
absolute error = 4.575546334e-22
relative error = 2.2715920071950959100129424766173e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.1693
y[1] (analytic) = 2.0142633022351785914160730995947
y[1] (numeric) = 2.0142633022351785914165312553321
absolute error = 4.581557374e-22
relative error = 2.2745573376211333116186458002006e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.1694
y[1] (analytic) = 2.0142800771757393076475484636106
y[1] (numeric) = 2.0142800771757393076480072202574
absolute error = 4.587566468e-22
relative error = 2.2775216415943083984312814245549e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.1695
y[1] (analytic) = 2.0142968618347383265731259986307
y[1] (numeric) = 2.0142968618347383265735853559923
absolute error = 4.593573616e-22
relative error = 2.2804849190977276883405281553535e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.1696
y[1] (analytic) = 2.0143136562118494123243519215677
y[1] (numeric) = 2.0143136562118494123248118794495
absolute error = 4.599578818e-22
relative error = 2.2834471701145300972618399151705e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.1697
y[1] (analytic) = 2.0143304603067461511070431851071
y[1] (numeric) = 2.0143304603067461511075037433144
absolute error = 4.605582073e-22
relative error = 2.2864083941314440656580966897677e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=236.5MB, alloc=4.3MB, time=31.11
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.1698
y[1] (analytic) = 2.014347274119101951226295796199
y[1] (numeric) = 2.0143472741191019512267569545366
absolute error = 4.611583376e-22
relative error = 2.2893685886494920905160936759602e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1699
y[1] (analytic) = 2.0143640976485900431115054848831
y[1] (numeric) = 2.0143640976485900431119672431563
absolute error = 4.617582732e-22
relative error = 2.2923277561341578268922283831434e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.17
y[1] (analytic) = 2.0143809308948834793414007194438
y[1] (numeric) = 2.0143809308948834793418630774575
absolute error = 4.623580137e-22
relative error = 2.2952858945830005313703624936961e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1701
y[1] (analytic) = 2.0143977738576551346690880638793
y[1] (numeric) = 2.0143977738576551346695510214384
absolute error = 4.629575591e-22
relative error = 2.2982430039793834139230715000586e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1702
y[1] (analytic) = 2.0144146265365777060471098736772
y[1] (numeric) = 2.0144146265365777060475734305865
absolute error = 4.635569093e-22
relative error = 2.3011990838102800165289154385681e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1703
y[1] (analytic) = 2.0144314889313237126525143258817
y[1] (numeric) = 2.0144314889313237126529784819459
absolute error = 4.641560642e-22
relative error = 2.3041541335627129642081611445670e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1704
y[1] (analytic) = 2.0144483610415654959119377794368
y[1] (numeric) = 2.0144483610415654959124025344606
absolute error = 4.647550238e-22
relative error = 2.3071081532201678042860135619350e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1705
y[1] (analytic) = 2.01446524286697521952669946179
y[1] (numeric) = 2.0144652428669752195271648155779
absolute error = 4.653537879e-22
relative error = 2.3100611417733432575606373856910e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1706
y[1] (analytic) = 2.0144821344072248694979084777367
y[1] (numeric) = 2.0144821344072248694983744300932
absolute error = 4.659523565e-22
relative error = 2.3130130992058148193678441552930e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1707
y[1] (analytic) = 2.014499035661986254151583136486
y[1] (numeric) = 2.0144990356619862541520496872155
absolute error = 4.665507295e-22
relative error = 2.3159640250047891685077209259526e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1708
y[1] (analytic) = 2.0145159466309310041637825929256
y[1] (numeric) = 2.0145159466309310041642497418324
absolute error = 4.671489068e-22
relative error = 2.3189139186575221642509835334845e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=240.3MB, alloc=4.3MB, time=31.62
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1709
y[1] (analytic) = 2.0145328673137305725857507990621
y[1] (numeric) = 2.0145328673137305725862185459505
absolute error = 4.677468884e-22
relative error = 2.3218627801477118618381494662952e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.171
y[1] (analytic) = 2.0145497977100562348690727616126
y[1] (numeric) = 2.0145497977100562348695411062867
absolute error = 4.683446741e-22
relative error = 2.3248106084663112115509215032465e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1711
y[1] (analytic) = 2.0145667378195790888908431017187
y[1] (numeric) = 2.0145667378195790888913120439826
absolute error = 4.689422639e-22
relative error = 2.3277574035971083880756874436544e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1712
y[1] (analytic) = 2.0145836876419700549788469127565
y[1] (numeric) = 2.0145836876419700549793164524141
absolute error = 4.695396576e-22
relative error = 2.3307031645311631878246995288393e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1713
y[1] (analytic) = 2.0146006471768998759367529122102
y[1] (numeric) = 2.0146006471768998759372230490655
absolute error = 4.701368553e-22
relative error = 2.3336478917487302769984589526052e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1714
y[1] (analytic) = 2.0146176164240391170693188835795
y[1] (numeric) = 2.0146176164240391170697896174363
absolute error = 4.707338568e-22
relative error = 2.3365915842409638532947587669754e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1715
y[1] (analytic) = 2.0146345953830581662076094042853
y[1] (numeric) = 2.0146345953830581662080807349474
absolute error = 4.713306621e-22
relative error = 2.3395342419918200121460258796262e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1716
y[1] (analytic) = 2.0146515840536272337342258555397
y[1] (numeric) = 2.0146515840536272337346977828107
absolute error = 4.719272710e-22
relative error = 2.3424758639925599658054264985634e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1717
y[1] (analytic) = 2.0146685824354163526085487101423
y[1] (numeric) = 2.0146685824354163526090212338257
absolute error = 4.725236834e-22
relative error = 2.3454164497308705854976661330832e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1718
y[1] (analytic) = 2.0146855905280953783919920941647
y[1] (numeric) = 2.0146855905280953783924652140641
absolute error = 4.731198994e-22
relative error = 2.3483559996871988595233283275517e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1719
y[1] (analytic) = 2.0147026083313339892732706184838
y[1] (numeric) = 2.0147026083313339892737443344026
absolute error = 4.737159188e-22
relative error = 2.3512945128529541314318282906763e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
memory used=244.1MB, alloc=4.3MB, time=32.13
x[1] = 0.172
y[1] (analytic) = 2.0147196358448016860936784761194
y[1] (numeric) = 2.014719635844801686094152787861
absolute error = 4.743117416e-22
relative error = 2.3542319892123058829760049034978e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1721
y[1] (analytic) = 2.0147366730681677923723808013353
y[1] (numeric) = 2.0147366730681677923728557087028
absolute error = 4.749073675e-22
relative error = 2.3571684272604279100566011052953e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1722
y[1] (analytic) = 2.0147537200011014543317172864559
y[1] (numeric) = 2.0147537200011014543321927892526
absolute error = 4.755027967e-22
relative error = 2.3601038279742699536573508303996e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1723
y[1] (analytic) = 2.0147707766432716409225180523544
y[1] (numeric) = 2.0147707766432716409229941503833
absolute error = 4.760980289e-22
relative error = 2.3630381898491089420353925908739e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1724
y[1] (analytic) = 2.0147878429943471438494317685602
y[1] (numeric) = 2.0147878429943471438499084616243
absolute error = 4.766930641e-22
relative error = 2.3659715128692954380798258669375e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1725
y[1] (analytic) = 2.0148049190539965775962660189382
y[1] (numeric) = 2.0148049190539965775967433068406
absolute error = 4.772879024e-22
relative error = 2.3689037975155386754738030151797e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1726
y[1] (analytic) = 2.0148220048218883794513399088873
y[1] (numeric) = 2.0148220048218883794518177914307
absolute error = 4.778825434e-22
relative error = 2.3718350417869549637794299718287e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1727
y[1] (analytic) = 2.0148391002976908095328489100026
y[1] (numeric) = 2.0148391002976908095333273869897
absolute error = 4.784769871e-22
relative error = 2.3747652456680308673613734580553e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1728
y[1] (analytic) = 2.0148562054810719508142419381485
y[1] (numeric) = 2.0148562054810719508147210093821
absolute error = 4.790712336e-22
relative error = 2.3776944096395990263307950528187e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1729
y[1] (analytic) = 2.0148733203716997091496106608847
y[1] (numeric) = 2.0148733203716997091500903261673
absolute error = 4.796652826e-22
relative error = 2.3806225321972714876125634276111e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.173
y[1] (analytic) = 2.0148904449692418132990910301852
y[1] (numeric) = 2.0148904449692418132995712893195
absolute error = 4.802591343e-22
relative error = 2.3835496143182681399077659824425e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1731
y[1] (analytic) = 2.0149075792733658149542770363927
y[1] (numeric) = 2.014907579273365814954757889181
absolute error = 4.808527883e-22
relative error = 2.3864756540020038000835774110881e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=247.9MB, alloc=4.3MB, time=32.64
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1732
y[1] (analytic) = 2.0149247232837390887636466793433
y[1] (numeric) = 2.0149247232837390887641281255881
absolute error = 4.814462448e-22
relative error = 2.3894006522257723254141620439080e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1733
y[1] (analytic) = 2.0149418770000288323580001526007
y[1] (numeric) = 2.0149418770000288323584821921043
absolute error = 4.820395036e-22
relative error = 2.3923246079816976396289619112253e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1734
y[1] (analytic) = 2.0149590404219020663759102367325
y[1] (numeric) = 2.014959040421902066376392869297
absolute error = 4.826325645e-22
relative error = 2.3952475202619702491419874362716e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1735
y[1] (analytic) = 2.0149762135490256344891848975628
y[1] (numeric) = 2.0149762135490256344896681229903
absolute error = 4.832254275e-22
relative error = 2.3981693890514148365102839374643e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1736
y[1] (analytic) = 2.014993396381066203428342085332
y[1] (numeric) = 2.0149933963810662034288259034246
absolute error = 4.838180926e-22
relative error = 2.4010902143348889010127851191160e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1737
y[1] (analytic) = 2.0150105889176902630080967306944
y[1] (numeric) = 2.0150105889176902630085811412541
absolute error = 4.844105597e-22
relative error = 2.4040099956010074498242874785255e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1738
y[1] (analytic) = 2.0150277911585641261528599334801
y[1] (numeric) = 2.0150277911585641261533449363087
absolute error = 4.850028286e-22
relative error = 2.4069287318421641803168738038307e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1739
y[1] (analytic) = 2.015045003103353928922250340149
y[1] (numeric) = 2.0150450031033539289227359350483
absolute error = 4.855948993e-22
relative error = 2.4098464230433531930796475863350e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.174
y[1] (analytic) = 2.0150622247517256305366177058614
y[1] (numeric) = 2.0150622247517256305371038926333
absolute error = 4.861867719e-22
relative error = 2.4127630696858640332016509353734e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1741
y[1] (analytic) = 2.0150794561033450134025786370885
y[1] (numeric) = 2.0150794561033450134030654155345
absolute error = 4.867784460e-22
relative error = 2.4156786697697103887780025813264e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1742
y[1] (analytic) = 2.015096697157877683138564510683
y[1] (numeric) = 2.0150966971578776831390518806046
absolute error = 4.873699216e-22
relative error = 2.4185932232800231250907147421617e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=251.7MB, alloc=4.3MB, time=33.14
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1743
y[1] (analytic) = 2.0151139479149890686003815653315
y[1] (numeric) = 2.0151139479149890686008695265302
absolute error = 4.879611987e-22
relative error = 2.4215067302019659994556862035608e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1744
y[1] (analytic) = 2.0151312083743444219067831613061
y[1] (numeric) = 2.0151312083743444219072717135834
absolute error = 4.885522773e-22
relative error = 2.4244191905207356600398617929284e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1745
y[1] (analytic) = 2.0151484785356088184650542044317
y[1] (numeric) = 2.0151484785356088184655433475888
absolute error = 4.891431571e-22
relative error = 2.4273306027328375968166237439088e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1746
y[1] (analytic) = 2.0151657583984471569966077301831
y[1] (numeric) = 2.0151657583984471569970974640214
absolute error = 4.897338383e-22
relative error = 2.4302409678160467212330489182659e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1747
y[1] (analytic) = 2.0151830479625241595625936438277
y[1] (numeric) = 2.0151830479625241595630839681482
absolute error = 4.903243205e-22
relative error = 2.4331502837707397942515950743819e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1748
y[1] (analytic) = 2.0152003472275043715895196125219
y[1] (numeric) = 2.0152003472275043715900105271258
absolute error = 4.909146039e-22
relative error = 2.4360585515747660944942798219928e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1749
y[1] (analytic) = 2.0152176561930521618948841052747
y[1] (numeric) = 2.015217656193052161895375609963
absolute error = 4.915046883e-22
relative error = 2.4389657702210764995754880548400e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.175
y[1] (analytic) = 2.0152349748588317227128215766842
y[1] (numeric) = 2.0152349748588317227133136712578
absolute error = 4.920945736e-22
relative error = 2.4418719391989089783500862842020e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1751
y[1] (analytic) = 2.0152523032245070697197597903552
y[1] (numeric) = 2.015252303224507069720252474615
absolute error = 4.926842598e-22
relative error = 2.4447770584937673019890207390949e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1752
y[1] (analytic) = 2.0152696412897420420600892779025
y[1] (numeric) = 2.0152696412897420420605825516492
absolute error = 4.932737467e-22
relative error = 2.4476811270987651780551299686695e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1753
y[1] (analytic) = 2.0152869890542003023718449294429
y[1] (numeric) = 2.0152869890542003023723387924773
absolute error = 4.938630344e-22
relative error = 2.4505841454957051768702127769431e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
memory used=255.5MB, alloc=4.3MB, time=33.64
x[1] = 0.1754
y[1] (analytic) = 2.0153043465175453368123997114791
y[1] (numeric) = 2.0153043465175453368128941636018
absolute error = 4.944521227e-22
relative error = 2.4534861126777968569168283607174e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1755
y[1] (analytic) = 2.0153217136794404550841705080742
y[1] (numeric) = 2.0153217136794404550846655490856
absolute error = 4.950410114e-22
relative error = 2.4563870276383169599079137223501e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.1756
y[1] (analytic) = 2.0153390905395487904603360812154
y[1] (numeric) = 2.015339090539548790460831710916
absolute error = 4.956297006e-22
relative error = 2.4592868908591926992504085398453e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1757
y[1] (analytic) = 2.0153564770975332998105671462657
y[1] (numeric) = 2.0153564770975332998110633644558
absolute error = 4.962181901e-22
relative error = 2.4621857013337967920215830190185e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1758
y[1] (analytic) = 2.0153738733530567636267685583961
y[1] (numeric) = 2.015373873353056763627265364876
absolute error = 4.968064799e-22
relative error = 2.4650834590479409335275500548478e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1759
y[1] (analytic) = 2.0153912793057817860488336058943
y[1] (numeric) = 2.0153912793057817860493310004643
absolute error = 4.973945700e-22
relative error = 2.4679801639874698582154667617030e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.176
y[1] (analytic) = 2.0154086949553707948904104062408
y[1] (numeric) = 2.015408694955370794890908388701
absolute error = 4.979824602e-22
relative error = 2.4708758151459067827205494196442e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1761
y[1] (analytic) = 2.0154261203014860416646804008426
y[1] (numeric) = 2.015426120301486041665178970993
absolute error = 4.985701504e-22
relative error = 2.4737704120130152677067569598717e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1762
y[1] (analytic) = 2.0154435553437896016101489443141
y[1] (numeric) = 2.0154435553437896016106481019548
absolute error = 4.991576407e-22
relative error = 2.4766639550709464972160649169966e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1763
y[1] (analytic) = 2.015461000081943373716447984192
y[1] (numeric) = 2.0154610000819433737169477291228
absolute error = 4.997449308e-22
relative error = 2.4795564428172099483717139548890e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1764
y[1] (analytic) = 2.0154784545156090807501508269692
y[1] (numeric) = 2.0154784545156090807506511589899
absolute error = 5.003320207e-22
relative error = 2.4824478752378800339378034194720e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1765
y[1] (analytic) = 2.0154959186444482692805989863323
y[1] (numeric) = 2.0154959186444482692810999052427
absolute error = 5.009189104e-22
relative error = 2.4853382523190642674951378407204e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=259.4MB, alloc=4.3MB, time=34.16
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1766
y[1] (analytic) = 2.0155133924681223097057411094852
y[1] (numeric) = 2.0155133924681223097062426150849
absolute error = 5.015055997e-22
relative error = 2.4882275730546002551334919919181e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1767
y[1] (analytic) = 2.0155308759862923962779839774379
y[1] (numeric) = 2.0155308759862923962784860695266
absolute error = 5.020920887e-22
relative error = 2.4911158379268347307282525314074e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1768
y[1] (analytic) = 2.0155483691986195471300555751422
y[1] (numeric) = 2.0155483691986195471305582535193
absolute error = 5.026783771e-22
relative error = 2.4940030454335587540419910117245e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1769
y[1] (analytic) = 2.0155658721047646043008802273483
y[1] (numeric) = 2.0155658721047646043013834918133
absolute error = 5.032644650e-22
relative error = 2.4968891960572025360190878574238e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.177
y[1] (analytic) = 2.0155833847043882337614657960619
y[1] (numeric) = 2.0155833847043882337619696464141
absolute error = 5.038503522e-22
relative error = 2.4997742887918093712145887948774e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1771
y[1] (analytic) = 2.0156009069971509254408029354727
y[1] (numeric) = 2.0156009069971509254413073715113
absolute error = 5.044360386e-22
relative error = 2.5026583231276201544985639803901e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1772
y[1] (analytic) = 2.0156184389827129932517764002287
y[1] (numeric) = 2.015618438982712993252281421753
absolute error = 5.050215243e-22
relative error = 2.5055412995471774950125989520987e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1773
y[1] (analytic) = 2.0156359806607345751170884029274
y[1] (numeric) = 2.0156359806607345751175940097365
absolute error = 5.056068091e-22
relative error = 2.5084232170446759198415112791056e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1774
y[1] (analytic) = 2.0156535320308756329951940166916
y[1] (numeric) = 2.0156535320308756329957002085845
absolute error = 5.061918929e-22
relative error = 2.5113040751104946824946467125294e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1775
y[1] (analytic) = 2.0156710930927959529062486186993
y[1] (numeric) = 2.015671093092795952906755395475
absolute error = 5.067767757e-22
relative error = 2.5141838737311761962424452202356e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1776
y[1] (analytic) = 2.0156886638461551449580673705334
y[1] (numeric) = 2.0156886638461551449585747319907
absolute error = 5.073614573e-22
relative error = 2.5170626119010793487596802204383e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=263.2MB, alloc=4.3MB, time=34.67
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1777
y[1] (analytic) = 2.0157062442906126433720967312147
y[1] (numeric) = 2.0157062442906126433726046771524
absolute error = 5.079459377e-22
relative error = 2.5199402896068389076724562498042e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1778
y[1] (analytic) = 2.0157238344258277065093979987823
y[1] (numeric) = 2.0157238344258277065099065289992
absolute error = 5.085302169e-22
relative error = 2.5228169068351228626784526215616e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1779
y[1] (analytic) = 2.0157414342514594168966428762829
y[1] (numeric) = 2.0157414342514594168971519905776
absolute error = 5.091142947e-22
relative error = 2.5256924625804416768759420801074e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.178
y[1] (analytic) = 2.0157590437671666812521210580267
y[1] (numeric) = 2.0157590437671666812526307561978
absolute error = 5.096981711e-22
relative error = 2.5285669568295557830744626508155e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1781
y[1] (analytic) = 2.015776662972608230511759831971
y[1] (numeric) = 2.0157766629726082305122701138169
absolute error = 5.102818459e-22
relative error = 2.5314403885770854524458420342775e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1782
y[1] (analytic) = 2.0157942918674426198551556940848
y[1] (numeric) = 2.015794291867442619855666559404
absolute error = 5.108653192e-22
relative error = 2.5343127583059660036524663719318e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1783
y[1] (analytic) = 2.0158119304513282287316179705526
y[1] (numeric) = 2.0158119304513282287321294191433
absolute error = 5.114485907e-22
relative error = 2.5371840645148365652327653786160e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1784
y[1] (analytic) = 2.0158295787239232608862244436671
y[1] (numeric) = 2.0158295787239232608867364753277
absolute error = 5.120316606e-22
relative error = 2.5400543081827900445620962799920e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1785
y[1] (analytic) = 2.0158472366848857443858889772663
y[1] (numeric) = 2.0158472366848857443864015917949
absolute error = 5.126145286e-22
relative error = 2.5429234878085712017395477079409e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1786
y[1] (analytic) = 2.0158649043338735316454411375614
y[1] (numeric) = 2.0158649043338735316459543347561
absolute error = 5.131971947e-22
relative error = 2.5457916033792052002243075904794e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1787
y[1] (analytic) = 2.015882581670544299453717805207
y[1] (numeric) = 2.0158825816705442994542315848659
absolute error = 5.137796589e-22
relative error = 2.5486586548817505099101116074998e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1788
y[1] (analytic) = 2.0159002686945555489996667744587
y[1] (numeric) = 2.0159002686945555490001811363797
absolute error = 5.143619210e-22
relative error = 2.5515246413111863339302513199406e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=267.0MB, alloc=4.3MB, time=35.18
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1789
y[1] (analytic) = 2.015917965405564605898462335264
y[1] (numeric) = 2.0159179654055646058989772792449
absolute error = 5.149439809e-22
relative error = 2.5543895621586119472435956921872e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.179
y[1] (analytic) = 2.0159356718032286202176328341299
y[1] (numeric) = 2.0159356718032286202181483599685
absolute error = 5.155258386e-22
relative error = 2.5572534174112249566846200702567e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1791
y[1] (analytic) = 2.0159533878872045665032002096103
y[1] (numeric) = 2.0159533878872045665037163171043
absolute error = 5.161074940e-22
relative error = 2.5601162065602130962172533482964e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.1792
y[1] (analytic) = 2.0159711136571492438058314982522
y[1] (numeric) = 2.0159711136571492438063481871994
absolute error = 5.166889472e-22
relative error = 2.5629779300888925938449441283515e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1793
y[1] (analytic) = 2.0159888491127192757070023068411
y[1] (numeric) = 2.0159888491127192757075195770389
absolute error = 5.172701978e-22
relative error = 2.5658385860004231268468456474902e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1794
y[1] (analytic) = 2.0160065942535711103451722467813
y[1] (numeric) = 2.0160065942535711103456900980272
absolute error = 5.178512459e-22
relative error = 2.5686981747782181865620772321343e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1795
y[1] (analytic) = 2.0160243490793610204419723264488
y[1] (numeric) = 2.0160243490793610204424907585402
absolute error = 5.184320914e-22
relative error = 2.5715566959136556720664416729463e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1796
y[1] (analytic) = 2.0160421135897451033284042973495
y[1] (numeric) = 2.0160421135897451033289233100836
absolute error = 5.190127341e-22
relative error = 2.5744141484021429576359609738647e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1797
y[1] (analytic) = 2.0160598877843792809710519499152
y[1] (numeric) = 2.0160598877843792809715715430895
absolute error = 5.195931743e-22
relative error = 2.5772705337192408470817526686857e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1798
y[1] (analytic) = 2.0160776716629192999983043547705
y[1] (numeric) = 2.016077671662919299998824528182
absolute error = 5.201734115e-22
relative error = 2.5801258493723899678201062628076e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1799
y[1] (analytic) = 2.0160954652250207317265910452964
y[1] (numeric) = 2.0160954652250207317271117987422
absolute error = 5.207534458e-22
relative error = 2.5829800958452014219464019802115e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=270.8MB, alloc=4.3MB, time=35.69
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.18
y[1] (analytic) = 2.0161132684703389721866291373218
y[1] (numeric) = 2.016113268470338972187150470599
absolute error = 5.213332772e-22
relative error = 2.5858332731252983530646851099464e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1801
y[1] (analytic) = 2.0161310813985292421496823817676
y[1] (numeric) = 2.0161310813985292421502042946731
absolute error = 5.219129055e-22
relative error = 2.5886853802083383373333395513416e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1802
y[1] (analytic) = 2.0161489040092465871538321460678
y[1] (numeric) = 2.0161489040092465871543546383985
absolute error = 5.224923307e-22
relative error = 2.5915364170820376730751237428771e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1803
y[1] (analytic) = 2.0161667363021458775302603201914
y[1] (numeric) = 2.016166736302145877530783391744
absolute error = 5.230715526e-22
relative error = 2.5943863827421646588131244916400e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1804
y[1] (analytic) = 2.016184578276881808429544143086
y[1] (numeric) = 2.0161845782768818084300677936573
absolute error = 5.236505713e-22
relative error = 2.5972352776725151596715689038180e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1805
y[1] (analytic) = 2.0162024299331088998479629453643
y[1] (numeric) = 2.0162024299331088998484871747509
absolute error = 5.242293866e-22
relative error = 2.6000831008689551173211532832606e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1806
y[1] (analytic) = 2.0162202912704814966538168040492
y[1] (numeric) = 2.0162202912704814966543416120477
absolute error = 5.248079985e-22
relative error = 2.6029298523193741818461628230398e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1807
y[1] (analytic) = 2.0162381622886537686137571051977
y[1] (numeric) = 2.0162381622886537686142824916045
absolute error = 5.253864068e-22
relative error = 2.6057755310197491802110009214296e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1808
y[1] (analytic) = 2.0162560429872797104191290102157
y[1] (numeric) = 2.0162560429872797104196549748272
absolute error = 5.259646115e-22
relative error = 2.6086201369580631201354806824475e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1809
y[1] (analytic) = 2.0162739333660131417123258216792
y[1] (numeric) = 2.0162739333660131417128523642918
absolute error = 5.265426126e-22
relative error = 2.6114636701223325182129030758824e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.181
y[1] (analytic) = 2.0162918334245077071131552444738
y[1] (numeric) = 2.0162918334245077071136823648837
absolute error = 5.271204099e-22
relative error = 2.6143061295086874952741028067179e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
memory used=274.6MB, alloc=4.3MB, time=36.20
x[1] = 0.1811
y[1] (analytic) = 2.0163097431624168762452175380613
y[1] (numeric) = 2.0163097431624168762457452360648
absolute error = 5.276980035e-22
relative error = 2.6171475156011935591996603320111e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1812
y[1] (analytic) = 2.0163276625793939437622955556853
y[1] (numeric) = 2.0163276625793939437628238310784
absolute error = 5.282753931e-22
relative error = 2.6199878269001275648635764967228e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1813
y[1] (analytic) = 2.0163455916750920293747566663197
y[1] (numeric) = 2.0163455916750920293752855188984
absolute error = 5.288525787e-22
relative error = 2.6228270633936929887504181557788e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1814
y[1] (analytic) = 2.0163635304491640778759665551689
y[1] (numeric) = 2.0163635304491640778764959847291
absolute error = 5.294295602e-22
relative error = 2.6256652245741845472642246004139e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1815
y[1] (analytic) = 2.0163814789012628591687148985217
y[1] (numeric) = 2.0163814789012628591692449048593
absolute error = 5.300063376e-22
relative error = 2.6285023104298860715732025086185e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1816
y[1] (analytic) = 2.0163994370310409682916529087628
y[1] (numeric) = 2.0163994370310409682921834916737
absolute error = 5.305829109e-22
relative error = 2.6313383209491149598127998870594e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1817
y[1] (analytic) = 2.016417404838150825445742745343
y[1] (numeric) = 2.0164174048381508254462739046228
absolute error = 5.311592798e-22
relative error = 2.6341732546324349778637032302245e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1818
y[1] (analytic) = 2.0164353823222446760207187875057
y[1] (numeric) = 2.0164353823222446760212505229502
absolute error = 5.317354445e-22
relative error = 2.6370071124601197348861822159280e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1819
y[1] (analytic) = 2.0164533694829745906215607645716
y[1] (numeric) = 2.0164533694829745906220930759762
absolute error = 5.323114046e-22
relative error = 2.6398398924369197295550322695638e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.182
y[1] (analytic) = 2.0164713663199924650949787395725
y[1] (numeric) = 2.0164713663199924650955116267327
absolute error = 5.328871602e-22
relative error = 2.6426715950472688248747217965747e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1821
y[1] (analytic) = 2.0164893728329500205559099420348
y[1] (numeric) = 2.0164893728329500205564434047461
absolute error = 5.334627113e-22
relative error = 2.6455022202797054321580198086763e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1822
y[1] (analytic) = 2.0165073890214988034140274457015
y[1] (numeric) = 2.0165073890214988034145614837593
absolute error = 5.340380578e-22
relative error = 2.6483317676268946396370807335137e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=278.4MB, alloc=4.3MB, time=36.71
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1823
y[1] (analytic) = 2.0165254148852901854002606869871
y[1] (numeric) = 2.0165254148852901854007953001865
absolute error = 5.346131994e-22
relative error = 2.6511602355897478728770205840348e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1824
y[1] (analytic) = 2.0165434504239753635933278199531
y[1] (numeric) = 2.0165434504239753635938630080895
absolute error = 5.351881364e-22
relative error = 2.6539876256446518082440107841390e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1825
y[1] (analytic) = 2.0165614956372053604462799035967
y[1] (numeric) = 2.0165614956372053604468156664651
absolute error = 5.357628684e-22
relative error = 2.6568139357967181250785276315856e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1826
y[1] (analytic) = 2.0165795505246310238130569172344
y[1] (numeric) = 2.0165795505246310238135932546298
absolute error = 5.363373954e-22
relative error = 2.6596391660347199203472533545119e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1827
y[1] (analytic) = 2.0165976150859030269750555997708
y[1] (numeric) = 2.016597615085903026975592511488
absolute error = 5.369117172e-22
relative error = 2.6624633153556944685769172716174e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1828
y[1] (analytic) = 2.0166156893206718686677091086332
y[1] (numeric) = 2.0166156893206718686682465944673
absolute error = 5.374858341e-22
relative error = 2.6652863852361497889307159057402e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1829
y[1] (analytic) = 2.0166337732285878731070784941572
y[1] (numeric) = 2.016633773228587873107616553903
absolute error = 5.380597458e-22
relative error = 2.6681083741773190969601109997023e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.183
y[1] (analytic) = 2.0166518668093011900164559852011
y[1] (numeric) = 2.0166518668093011900169946186533
absolute error = 5.386334522e-22
relative error = 2.6709292816722654667123579747608e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1831
y[1] (analytic) = 2.0166699700624617946529800817708
y[1] (numeric) = 2.016669970062461794653519288724
absolute error = 5.392069532e-22
relative error = 2.6737491072141034719288272261913e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1832
y[1] (analytic) = 2.0166880829877194878342624504319
y[1] (numeric) = 2.0166880829877194878348022306808
absolute error = 5.397802489e-22
relative error = 2.6765678512877242127582706153040e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1833
y[1] (analytic) = 2.0167062055847238959650266182854
y[1] (numeric) = 2.0167062055847238959655669716245
absolute error = 5.403533391e-22
relative error = 2.6793855128904605438601498535394e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=282.3MB, alloc=4.3MB, time=37.21
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1834
y[1] (analytic) = 2.0167243378531244710637584612816
y[1] (numeric) = 2.0167243378531244710642993875053
absolute error = 5.409262237e-22
relative error = 2.6822020915155682773860799334864e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1835
y[1] (analytic) = 2.0167424797925704907893684826453
y[1] (numeric) = 2.0167424797925704907899099815479
absolute error = 5.414989026e-22
relative error = 2.6850175866563547965836679136082e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1836
y[1] (analytic) = 2.0167606314027110584678658771833
y[1] (numeric) = 2.0167606314027110584684079485593
absolute error = 5.420713760e-22
relative error = 2.6878319992937130725756559454198e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1837
y[1] (analytic) = 2.0167787926831951031190443772466
y[1] (numeric) = 2.01677879268319510311958702089
absolute error = 5.426436434e-22
relative error = 2.6906453269376527083224383123237e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1838
y[1] (analytic) = 2.0167969636336713794831798761112
y[1] (numeric) = 2.0167969636336713794837230918163
absolute error = 5.432157051e-22
relative error = 2.6934575710649922400561604639432e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.1839
y[1] (analytic) = 2.01681514425378846804773982455
y[1] (numeric) = 2.0168151442537884680482836121108
absolute error = 5.437875608e-22
relative error = 2.6962687301775427810468764773790e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.184
y[1] (analytic) = 2.0168333345431947750741043963565
y[1] (numeric) = 2.0168333345431947750746487555669
absolute error = 5.443592104e-22
relative error = 2.6990788037688564385258684292431e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1841
y[1] (analytic) = 2.0168515345015385326242994185866
y[1] (numeric) = 2.0168515345015385326248443492406
absolute error = 5.449306540e-22
relative error = 2.7018877923241816377160373052449e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1842
y[1] (analytic) = 2.0168697441284677985877410622808
y[1] (numeric) = 2.0168697441284677985882865641722
absolute error = 5.455018914e-22
relative error = 2.7046956948413291771974708944714e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1843
y[1] (analytic) = 2.0168879634236304567079922894263
y[1] (numeric) = 2.0168879634236304567085383623488
absolute error = 5.460729225e-22
relative error = 2.7075025108139928319884729185353e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1844
y[1] (analytic) = 2.0169061923866742166095310519195
y[1] (numeric) = 2.0169061923866742166100776956668
absolute error = 5.466437473e-22
relative error = 2.7103082402317269917122849878479e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
memory used=286.1MB, alloc=4.3MB, time=37.72
x[1] = 0.1845
y[1] (analytic) = 2.0169244310172466138245302382861
y[1] (numeric) = 2.0169244310172466138250774526519
absolute error = 5.472143658e-22
relative error = 2.7131128830841198679709434915388e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1846
y[1] (analytic) = 2.016942679314995009819649363915
y[1] (numeric) = 2.0169426793149950098201971486928
absolute error = 5.477847778e-22
relative error = 2.7159164383691936714809081160673e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1847
y[1] (analytic) = 2.0169609372795665920228380005603
y[1] (numeric) = 2.0169609372795665920233863555437
absolute error = 5.483549834e-22
relative error = 2.7187189065724266035309389779070e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1848
y[1] (analytic) = 2.0169792049106083738501509408662
y[1] (numeric) = 2.0169792049106083738506998658484
absolute error = 5.489249822e-22
relative error = 2.7215202857003580876970701403276e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1849
y[1] (analytic) = 2.016997482207767194732575093663
y[1] (numeric) = 2.0169974822077671947331245884374
absolute error = 5.494947744e-22
relative error = 2.7243205767343518955467256362120e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.185
y[1] (analytic) = 2.0170157691706897201428681057887
y[1] (numeric) = 2.0170157691706897201434181701485
absolute error = 5.500643598e-22
relative error = 2.7271197786726419431291448361647e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1851
y[1] (analytic) = 2.017034065799022441622408706181
y[1] (numeric) = 2.0170340657990224416229593399194
absolute error = 5.506337384e-22
relative error = 2.7299178915050868716492934694515e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1852
y[1] (analytic) = 2.0170523720924116768080587679885
y[1] (numeric) = 2.0170523720924116768086099708985
absolute error = 5.512029100e-22
relative error = 2.7327149142300333055197498490359e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1853
y[1] (analytic) = 2.0170706880505035694590370844464
y[1] (numeric) = 2.0170706880505035694595888563212
absolute error = 5.517718748e-22
relative error = 2.7355108478289715436540616227462e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1854
y[1] (analytic) = 2.0170890136729440894838048542608
y[1] (numeric) = 2.0170890136729440894843571948933
absolute error = 5.523406325e-22
relative error = 2.7383056908045700460980089368176e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1855
y[1] (analytic) = 2.0171073489593790329669628722433
y[1] (numeric) = 2.0171073489593790329675157814263
absolute error = 5.529091830e-22
relative error = 2.7410994426511040935651298072679e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1856
y[1] (analytic) = 2.0171256939094540221961604209372
y[1] (numeric) = 2.0171256939094540221967138984636
absolute error = 5.534775264e-22
relative error = 2.7438921038544107670921037617905e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=289.9MB, alloc=4.3MB, time=38.23
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1857
y[1] (analytic) = 2.0171440485228145056890158589759
y[1] (numeric) = 2.0171440485228145056895699046384
absolute error = 5.540456625e-22
relative error = 2.7466836734130917818321540857007e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1858
y[1] (analytic) = 2.0171624127991057582200489019092
y[1] (numeric) = 2.0171624127991057582206035155004
absolute error = 5.546135912e-22
relative error = 2.7494741508215647704629687466321e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1859
y[1] (analytic) = 2.0171807867379728808476245912356
y[1] (numeric) = 2.0171807867379728808481797725481
absolute error = 5.551813125e-22
relative error = 2.7522635360700407491559965175546e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.186
y[1] (analytic) = 2.0171991703390608009409089473748
y[1] (numeric) = 2.0171991703390608009414646962011
absolute error = 5.557488263e-22
relative error = 2.7550518286530278119949794306042e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1861
y[1] (analytic) = 2.017217563602014272206836302314
y[1] (numeric) = 2.0172175636020142722073926184465
absolute error = 5.563161325e-22
relative error = 2.7578390280650860784994010132424e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1862
y[1] (analytic) = 2.017235966526477874717088307659
y[1] (numeric) = 2.0172359665264778747176451908901
absolute error = 5.568832311e-22
relative error = 2.7606251342965555405950822452424e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1863
y[1] (analytic) = 2.0172543791120960149350846138221
y[1] (numeric) = 2.017254379112096014935642063944
absolute error = 5.574501219e-22
relative error = 2.7634101463463635564443574185442e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1864
y[1] (analytic) = 2.0172728013585129257429852160739
y[1] (numeric) = 2.0172728013585129257435432328789
absolute error = 5.580168050e-22
relative error = 2.7661940647006639895162520504397e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1865
y[1] (analytic) = 2.0172912332653726664687044631872
y[1] (numeric) = 2.0172912332653726664692630464674
absolute error = 5.585832802e-22
relative error = 2.7689768883584838440360648474371e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1866
y[1] (analytic) = 2.0173096748323191229129367243986
y[1] (numeric) = 2.0173096748323191229134958739461
absolute error = 5.591495475e-22
relative error = 2.7717586173103397801451696006475e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1867
y[1] (analytic) = 2.0173281260589960073761937104123
y[1] (numeric) = 2.0173281260589960073767534260191
absolute error = 5.597156068e-22
relative error = 2.7745392510510772811579050337525e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=293.7MB, alloc=4.3MB, time=38.74
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1868
y[1] (analytic) = 2.0173465869450468586858534441681
y[1] (numeric) = 2.0173465869450468586864137256261
absolute error = 5.602814580e-22
relative error = 2.7773187890755939757071130918374e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1869
y[1] (analytic) = 2.0173650574901150422232208770959
y[1] (numeric) = 2.017365057490115042223781724197
absolute error = 5.608471011e-22
relative error = 2.7800972313745357630927826387656e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.187
y[1] (analytic) = 2.017383537693843749950600146576
y[1] (numeric) = 2.017383537693843749951161559112
absolute error = 5.614125360e-22
relative error = 2.7828745774428910032018530801167e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1871
y[1] (analytic) = 2.0174020275558760004383784703233
y[1] (numeric) = 2.0174020275558760004389404480858
absolute error = 5.619777625e-22
relative error = 2.7856508262800132301391813846947e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1872
y[1] (analytic) = 2.0174205270758546388921216734121
y[1] (numeric) = 2.0174205270758546388926842161927
absolute error = 5.625427806e-22
relative error = 2.7884259778766913252344201617799e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1873
y[1] (analytic) = 2.0174390362534223371796813436574
y[1] (numeric) = 2.0174390362534223371802444512477
absolute error = 5.631075903e-22
relative error = 2.7912000322237482294349021630562e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1874
y[1] (analytic) = 2.0174575550882215938583136110659
y[1] (numeric) = 2.0174575550882215938588772832573
absolute error = 5.636721914e-22
relative error = 2.7939729883206941866855151354888e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1875
y[1] (analytic) = 2.0174760835798947342018095470688
y[1] (numeric) = 2.0174760835798947342023737836527
absolute error = 5.642365839e-22
relative error = 2.7967448461584475650047477250655e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1876
y[1] (analytic) = 2.0174946217280839102276371792478
y[1] (numeric) = 2.0174946217280839102282019800156
absolute error = 5.648007678e-22
relative error = 2.7995156057279608137494479389992e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1877
y[1] (analytic) = 2.0175131695324311007240951172631
y[1] (numeric) = 2.0175131695324311007246604820062
absolute error = 5.653647431e-22
relative error = 2.8022852670202204616873602267493e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1878
y[1] (analytic) = 2.0175317269925781112774777856915
y[1] (numeric) = 2.017531726992578111278043714201
absolute error = 5.659285095e-22
relative error = 2.8050538285392816513443128894436e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1879
y[1] (analytic) = 2.0175502941081665742992522594801
y[1] (numeric) = 2.017550294108166574299818751547
absolute error = 5.664920669e-22
relative error = 2.8078212897805895240993311041071e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=297.5MB, alloc=4.3MB, time=39.24
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.188
y[1] (analytic) = 2.0175688708788379490532466977212
y[1] (numeric) = 2.0175688708788379490538137531367
absolute error = 5.670554155e-22
relative error = 2.8105876517265796792960192207724e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1881
y[1] (analytic) = 2.0175874573042335216828503714522
y[1] (numeric) = 2.0175874573042335216834179900071
absolute error = 5.676185549e-22
relative error = 2.8133529123858365341374906056626e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1882
y[1] (analytic) = 2.0176060533839944052382252811799
y[1] (numeric) = 2.0176060533839944052387934626652
absolute error = 5.681814853e-22
relative error = 2.8161170727408730665478710506928e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1883
y[1] (analytic) = 2.0176246591177615397035293598328
y[1] (numeric) = 2.0176246591177615397040981040394
absolute error = 5.687442066e-22
relative error = 2.8188801322873028661681115433906e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1884
y[1] (analytic) = 2.0176432745051756920241512568377
y[1] (numeric) = 2.0176432745051756920247205635563
absolute error = 5.693067186e-22
relative error = 2.8216420900251641829759174681695e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1885
y[1] (analytic) = 2.017661899545877456133956699019
y[1] (numeric) = 2.0176618995458774561345265680401
absolute error = 5.698690211e-22
relative error = 2.8244029449545660005105472732384e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1886
y[1] (analytic) = 2.0176805342395072529825464240156
y[1] (numeric) = 2.01768053423950725298311685513
absolute error = 5.704311144e-22
relative error = 2.8271626985537810755994838382077e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1887
y[1] (analytic) = 2.0176991785857053305625256819123
y[1] (numeric) = 2.0176991785857053305630966749106
absolute error = 5.709929983e-22
relative error = 2.8299213498229912944614264025948e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1888
y[1] (analytic) = 2.0177178325841117639367853007751
y[1] (numeric) = 2.0177178325841117639373568554476
absolute error = 5.715546725e-22
relative error = 2.8326788972668399020477895596061e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1889
y[1] (analytic) = 2.0177364962343664552657943117837
y[1] (numeric) = 2.0177364962343664552663664279209
absolute error = 5.721161372e-22
relative error = 2.8354353418680835863668798836657e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.189
y[1] (analytic) = 2.0177551695361091338349041296518
y[1] (numeric) = 2.0177551695361091338354768070441
absolute error = 5.726773923e-22
relative error = 2.8381906831226757477893034950932e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=301.3MB, alloc=4.3MB, time=39.76
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1891
y[1] (analytic) = 2.017773852488979356081664284022
y[1] (numeric) = 2.0177738524889793560822375224595
absolute error = 5.732384375e-22
relative error = 2.8409449195354309619540502481650e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1892
y[1] (analytic) = 2.0177925450926165056231496975227
y[1] (numeric) = 2.0177925450926165056237234967956
absolute error = 5.737992729e-22
relative error = 2.8436980515936174317732152650339e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1893
y[1] (analytic) = 2.0178112473466597932832995061736
y[1] (numeric) = 2.0178112473466597932838738660721
absolute error = 5.743598985e-22
relative error = 2.8464500792889327194450250254135e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1894
y[1] (analytic) = 2.0178299592507482571202674178224
y[1] (numeric) = 2.0178299592507482571208423381365
absolute error = 5.749203141e-22
relative error = 2.8492010016219448026631153415539e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1895
y[1] (analytic) = 2.0178486808045207624537836042955
y[1] (numeric) = 2.0178486808045207624543590848152
absolute error = 5.754805197e-22
relative error = 2.8519508185844472505003438686730e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1896
y[1] (analytic) = 2.0178674120076160018925281229448
y[1] (numeric) = 2.0178674120076160018931041634599
absolute error = 5.760405151e-22
relative error = 2.8546995291771224674414772172172e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1897
y[1] (analytic) = 2.0178861528596724953615158632686
y[1] (numeric) = 2.0178861528596724953620924635689
absolute error = 5.766003003e-22
relative error = 2.8574471333918601035492954534723e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1898
y[1] (analytic) = 2.0179049033603285901294930142856
y[1] (numeric) = 2.017904903360328590130070174161
absolute error = 5.771598754e-22
relative error = 2.8601936317161475578150008466723e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1899
y[1] (analytic) = 2.0179236635092224608363450483393
y[1] (numeric) = 2.0179236635092224608369227675794
absolute error = 5.777192401e-22
relative error = 2.8629390226552525171806222612223e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.19
y[1] (analytic) = 2.0179424333059921095205162170059
y[1] (numeric) = 2.0179424333059921095210944954003
absolute error = 5.782783944e-22
relative error = 2.8656833062011950466367783226443e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1901
y[1] (analytic) = 2.0179612127502753656464405547815
y[1] (numeric) = 2.0179612127502753656470193921198
absolute error = 5.788373383e-22
relative error = 2.8684264823460294895538851724106e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
memory used=305.1MB, alloc=4.3MB, time=40.26
x[1] = 0.1902
y[1] (analytic) = 2.0179800018417098861319843862197
y[1] (numeric) = 2.0179800018417098861325637822914
absolute error = 5.793960717e-22
relative error = 2.8711685505862994160665476617171e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1903
y[1] (analytic) = 2.017998800579933155375900332191
y[1] (numeric) = 2.0179988005799331553764802867853
absolute error = 5.799545943e-22
relative error = 2.8739095094275202690570937838311e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1904
y[1] (analytic) = 2.0180176089645824852852928109316
y[1] (numeric) = 2.018017608964582485285873323838
absolute error = 5.805129064e-22
relative error = 2.8766493603485120882556166287819e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1905
y[1] (analytic) = 2.0180364269952950153030950295528
y[1] (numeric) = 2.0180364269952950153036761005604
absolute error = 5.810710076e-22
relative error = 2.8793881013593554309777313178485e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1906
y[1] (analytic) = 2.0180552546717077124355574616731
y[1] (numeric) = 2.0180552546717077124361390905712
absolute error = 5.816288981e-22
relative error = 2.8821257334433985307703975892777e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1907
y[1] (analytic) = 2.018074091993457371279747806842
y[1] (numeric) = 2.0180740919934573712803299934197
absolute error = 5.821865777e-22
relative error = 2.8848622556018991708295874148333e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1908
y[1] (analytic) = 2.0180929389601806140510624274156
y[1] (numeric) = 2.0180929389601806140516451714619
absolute error = 5.827440463e-22
relative error = 2.8875976673317037783762509643741e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1909
y[1] (analytic) = 2.0181117955715138906107492585479
y[1] (numeric) = 2.0181117955715138906113325598518
absolute error = 5.833013039e-22
relative error = 2.8903319686252243183853806230204e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.191
y[1] (analytic) = 2.0181306618270934784934421869581
y[1] (numeric) = 2.0181306618270934784940260453084
absolute error = 5.838583503e-22
relative error = 2.8930651584838909865615371066093e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1911
y[1] (analytic) = 2.018149537726555482934706894132
y[1] (numeric) = 2.0181495377265554829352913093176
absolute error = 5.844151856e-22
relative error = 2.8957972373957156573690335732654e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1912
y[1] (analytic) = 2.0181684232695358368985981596165
y[1] (numeric) = 2.0181684232695358368991831314261
absolute error = 5.849718096e-22
relative error = 2.8985282043622296703940825997801e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1913
y[1] (analytic) = 2.0181873184556703011052286200619
y[1] (numeric) = 2.0181873184556703011058141482842
absolute error = 5.855282223e-22
relative error = 2.9012580593760241171529132739908e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=309.0MB, alloc=4.3MB, time=40.77
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1914
y[1] (analytic) = 2.0182062232845944640583489796678
y[1] (numeric) = 2.0182062232845944640589350640915
absolute error = 5.860844237e-22
relative error = 2.9039868024297244634598443618828e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1915
y[1] (analytic) = 2.0182251377559437420729396676856
y[1] (numeric) = 2.0182251377559437420735263080992
absolute error = 5.866404136e-22
relative error = 2.9067144325250208271187608652575e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1916
y[1] (analytic) = 2.0182440618693533793028139386286
y[1] (numeric) = 2.0182440618693533793034011348206
absolute error = 5.871961920e-22
relative error = 2.9094409496546352916708791707432e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1917
y[1] (analytic) = 2.0182629956244584477682324108412
y[1] (numeric) = 2.0182629956244584477688201626001
absolute error = 5.877517589e-22
relative error = 2.9121663538113243358832466209102e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1918
y[1] (analytic) = 2.0182819390208938473835290390756
y[1] (numeric) = 2.0182819390208938473841173461896
absolute error = 5.883071140e-22
relative error = 2.9148906435014660851875183013407e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1919
y[1] (analytic) = 2.0183008920582943059847485167228
y[1] (numeric) = 2.0183008920582943059853373789801
absolute error = 5.888622573e-22
relative error = 2.9176138187179276772109391381393e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.192
y[1] (analytic) = 2.0183198547362943793572951033446
y[1] (numeric) = 2.0183198547362943793578845205336
absolute error = 5.894171890e-22
relative error = 2.9203358804445338946724010979646e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.1921
y[1] (analytic) = 2.0183388270545284512635928731522
y[1] (numeric) = 2.0183388270545284512641828450609
absolute error = 5.899719087e-22
relative error = 2.9230568266923649872811929690841e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.19
x[1] = 0.1922
y[1] (analytic) = 2.0183578090126307334707573800712
y[1] (numeric) = 2.0183578090126307334713479064876
absolute error = 5.905264164e-22
relative error = 2.9257766574544193193867588499369e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.19
x[1] = 0.1923
y[1] (analytic) = 2.0183768006102352657782787350386
y[1] (numeric) = 2.0183768006102352657788698157506
absolute error = 5.910807120e-22
relative error = 2.9284953722282820770620307230766e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.19
x[1] = 0.1924
y[1] (analytic) = 2.018395801846975916045716091169
y[1] (numeric) = 2.0183958018469759160463077259647
absolute error = 5.916347957e-22
relative error = 2.9312129719979204454939189506960e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=312.8MB, alloc=4.3MB, time=41.27
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.19
x[1] = 0.1925
y[1] (analytic) = 2.0184148127224863802204035324311
y[1] (numeric) = 2.0184148127224863802209957210983
absolute error = 5.921886672e-22
relative error = 2.9339294552701072469338774735001e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.19
x[1] = 0.1926
y[1] (analytic) = 2.0184338332364001823651673614693
y[1] (numeric) = 2.0184338332364001823657601037957
absolute error = 5.927423264e-22
relative error = 2.9366448215425730176242103135764e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.19
x[1] = 0.1927
y[1] (analytic) = 2.0184528633883506746860547822085
y[1] (numeric) = 2.0184528633883506746866480779819
absolute error = 5.932957734e-22
relative error = 2.9393590713039593640064766648075e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.19
x[1] = 0.1928
y[1] (analytic) = 2.018471903177971037560073972876
y[1] (numeric) = 2.0184719031779710375606678218839
absolute error = 5.938490079e-22
relative error = 2.9420722030612265388786741368514e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.19
x[1] = 0.1929
y[1] (analytic) = 2.018490952604894279562945545072
y[1] (numeric) = 2.0184909526048942795635399471021
absolute error = 5.944020301e-22
relative error = 2.9447842177985234149845374461804e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.193
y[1] (analytic) = 2.0185100116687532374968653845232
y[1] (numeric) = 2.0185100116687532374974603393629
absolute error = 5.949548397e-22
relative error = 2.9474951140229212863641224736728e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1931
y[1] (analytic) = 2.0185290803691805764182788691462
y[1] (numeric) = 2.018529080369180576418874376583
absolute error = 5.955074368e-22
relative error = 2.9502048922232230894275767447452e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1932
y[1] (analytic) = 2.0185481587058087896656664600527
y[1] (numeric) = 2.0185481587058087896662625198739
absolute error = 5.960598212e-22
relative error = 2.9529135514020308354206666657629e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1933
y[1] (analytic) = 2.0185672466782701988873406611211
y[1] (numeric) = 2.018567246678270198887937273114
absolute error = 5.966119929e-22
relative error = 2.9556210915528202791401330844775e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1934
y[1] (analytic) = 2.018586344286196954069254342762
y[1] (numeric) = 2.0185863442861969540698515067138
absolute error = 5.971639518e-22
relative error = 2.9583275121737054993554491913580e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1935
y[1] (analytic) = 2.0186054515292210335628204255015
y[1] (numeric) = 2.0186054515292210335634181411994
absolute error = 5.977156979e-22
relative error = 2.9610328132582453598823882037529e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1936
y[1] (analytic) = 2.0186245684069742441127429190053
y[1] (numeric) = 2.0186245684069742441133411862363
absolute error = 5.982672310e-22
relative error = 2.9637369938092596211756318650067e-20 %
h = 0.0001
memory used=316.6MB, alloc=4.3MB, time=41.77
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1937
y[1] (analytic) = 2.0186436949190882208848593121648
y[1] (numeric) = 2.018643694919088220885458130716
absolute error = 5.988185512e-22
relative error = 2.9664400543157864926891443619442e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1938
y[1] (analytic) = 2.0186628310651944274939943098663
y[1] (numeric) = 2.0186628310651944274945936795246
absolute error = 5.993696583e-22
relative error = 2.9691419937807476713614128766912e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1939
y[1] (analytic) = 2.0186819768449241560318249120606
y[1] (numeric) = 2.0186819768449241560324248326128
absolute error = 5.999205522e-22
relative error = 2.9718428117025097074840140278648e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.194
y[1] (analytic) = 2.0187011322579085270947568307518
y[1] (numeric) = 2.0187011322579085270953573019847
absolute error = 6.004712329e-22
relative error = 2.9745425080748605450138861318592e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1941
y[1] (analytic) = 2.0187202973037784898118122405198
y[1] (numeric) = 2.0187202973037784898124132622203
absolute error = 6.010217005e-22
relative error = 2.9772410833869860277543034124220e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1942
y[1] (analytic) = 2.0187394719821648218725288581925
y[1] (numeric) = 2.0187394719821648218731304301472
absolute error = 6.015719547e-22
relative error = 2.9799385361466532688875323892580e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1943
y[1] (analytic) = 2.0187586562926981295548703472786
y[1] (numeric) = 2.0187586562926981295554724692739
absolute error = 6.021219953e-22
relative error = 2.9826348653570743395315709201641e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1944
y[1] (analytic) = 2.0187778502350088477531480427741
y[1] (numeric) = 2.0187778502350088477537507145968
absolute error = 6.026718227e-22
relative error = 2.9853300729936288033787105178820e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1945
y[1] (analytic) = 2.0187970538087272400059539919537
y[1] (numeric) = 2.0187970538087272400065572133901
absolute error = 6.032214364e-22
relative error = 2.9880241565735550292499611214862e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1946
y[1] (analytic) = 2.0188162670134833985241053067523
y[1] (numeric) = 2.0188162670134833985247090775888
absolute error = 6.037708365e-22
relative error = 2.9907171165862588966567923727591e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1947
y[1] (analytic) = 2.0188354898489072442185998233478
y[1] (numeric) = 2.0188354898489072442192041433707
absolute error = 6.043200229e-22
relative error = 2.9934089525304919262235411419967e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=320.4MB, alloc=4.3MB, time=42.28
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1948
y[1] (analytic) = 2.0188547223146285267285830645489
y[1] (numeric) = 2.0188547223146285267291879335444
absolute error = 6.048689955e-22
relative error = 2.9960996639050591262968293804394e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1949
y[1] (analytic) = 2.0188739644102768244493265005929
y[1] (numeric) = 2.0188739644102768244499319183473
absolute error = 6.054177544e-22
relative error = 2.9987892511994702552046521280291e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.195
y[1] (analytic) = 2.0188932161354815445602171039572
y[1] (numeric) = 2.0188932161354815445608230702566
absolute error = 6.059662994e-22
relative error = 3.0014777134172881204149616286346e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1951
y[1] (analytic) = 2.0189124774898719230527581937854
y[1] (numeric) = 2.0189124774898719230533647084157
absolute error = 6.065146303e-22
relative error = 3.0041650495621479533820850977970e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1952
y[1] (analytic) = 2.0189317484730770247585815655279
y[1] (numeric) = 2.0189317484730770247591886282752
absolute error = 6.070627473e-22
relative error = 3.0068512606190032292933023003062e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1953
y[1] (analytic) = 2.0189510290847257433774709013982
y[1] (numeric) = 2.0189510290847257433780785120484
absolute error = 6.076106502e-22
relative error = 3.0095363455915773952624367658614e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1954
y[1] (analytic) = 2.018970319324446801505396457239
y[1] (numeric) = 2.0189703193244468015060046155779
absolute error = 6.081583389e-22
relative error = 3.0122203039789683787542647218969e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1955
y[1] (analytic) = 2.0189896191918687506625610213969
y[1] (numeric) = 2.0189896191918687506631697272102
absolute error = 6.087058133e-22
relative error = 3.0149031352803277103254513176897e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1956
y[1] (analytic) = 2.0190089286866199713214571411986
y[1] (numeric) = 2.0190089286866199713220663942723
absolute error = 6.092530737e-22
relative error = 3.0175848409760305839662805455596e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1957
y[1] (analytic) = 2.0190282478083286729349356126242
y[1] (numeric) = 2.0190282478083286729355454127436
absolute error = 6.098001194e-22
relative error = 3.0202654175935523021364270855424e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1958
y[1] (analytic) = 2.0190475765566228939642852287649
y[1] (numeric) = 2.0190475765566228939648955757157
absolute error = 6.103469508e-22
relative error = 3.0229448671086488948467959350878e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=324.2MB, alloc=4.3MB, time=42.79
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1959
y[1] (analytic) = 2.0190669149311305019073237826614
y[1] (numeric) = 2.019066914931130501907934676229
absolute error = 6.108935676e-22
relative error = 3.0256231880300872298614209269906e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.196
y[1] (analytic) = 2.0190862629314791933265003201072
y[1] (numeric) = 2.0190862629314791933271117600771
absolute error = 6.114399699e-22
relative error = 3.0283003808478199650578074011040e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1961
y[1] (analytic) = 2.0191056205572964938770086380072
y[1] (numeric) = 2.0191056205572964938776206241649
absolute error = 6.119861577e-22
relative error = 3.0309764455565466921277444470374e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1962
y[1] (analytic) = 2.019124987808209758334912023877
y[1] (numeric) = 2.0191249878082097583355245560075
absolute error = 6.125321305e-22
relative error = 3.0336513796746815018047979916338e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1963
y[1] (analytic) = 2.0191443646838461706252792320664
y[1] (numeric) = 2.0191443646838461706258923099551
absolute error = 6.130778887e-22
relative error = 3.0363251851781018315255358405612e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1964
y[1] (analytic) = 2.019163751183832743850331692294
y[1] (numeric) = 2.0191637511838327438509453157261
absolute error = 6.136234321e-22
relative error = 3.0389978610711166063539378199241e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1965
y[1] (analytic) = 2.0191831473077963203176019460711
y[1] (numeric) = 2.0191831473077963203182161148316
absolute error = 6.141687605e-22
relative error = 3.0416694063581075189611563159185e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1966
y[1] (analytic) = 2.0192025530553635715681033065977
y[1] (numeric) = 2.0192025530553635715687180204717
absolute error = 6.147138740e-22
relative error = 3.0443398215292641195532094487806e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1967
y[1] (analytic) = 2.01922196842616099840451073771
y[1] (numeric) = 2.0192219684261609984051259964824
absolute error = 6.152587724e-22
relative error = 3.0470091055890709076390784705433e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1968
y[1] (analytic) = 2.0192413934198149309193529474557
y[1] (numeric) = 2.0192413934198149309199687509114
absolute error = 6.158034557e-22
relative error = 3.0496772585325562174541026915388e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1969
y[1] (analytic) = 2.0192608280359515285232156918752
y[1] (numeric) = 2.0192608280359515285238320397991
absolute error = 6.163479239e-22
relative error = 3.0523442803547831501548599045849e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.197
y[1] (analytic) = 2.0192802722741967799729562845636
y[1] (numeric) = 2.0192802722741967799735731767402
absolute error = 6.168921766e-22
relative error = 3.0550101690699457538484702757437e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=328.0MB, alloc=4.3MB, time=43.29
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1971
y[1] (analytic) = 2.0192997261341765033999293075849
y[1] (numeric) = 2.0192997261341765034005467437991
absolute error = 6.174362142e-22
relative error = 3.0576749266541186416265155546715e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1972
y[1] (analytic) = 2.0193191896155163463382235193154
y[1] (numeric) = 2.0193191896155163463388414993518
absolute error = 6.179800364e-22
relative error = 3.0603385516168199975198691026565e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1973
y[1] (analytic) = 2.0193386627178417857529099547818
y[1] (numeric) = 2.0193386627178417857535284784249
absolute error = 6.185236431e-22
relative error = 3.0630010434580833381780826354113e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1974
y[1] (analytic) = 2.0193581454407781280683012140675
y[1] (numeric) = 2.0193581454407781280689202811018
absolute error = 6.190670343e-22
relative error = 3.0656624021732029436911618323783e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1975
y[1] (analytic) = 2.0193776377839505091962219343535
y[1] (numeric) = 2.0193776377839505091968415445634
absolute error = 6.196102099e-22
relative error = 3.0683226272623058239697768187393e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1976
y[1] (analytic) = 2.0193971397469838945642904411614
y[1] (numeric) = 2.0193971397469838945649105943313
absolute error = 6.201531699e-22
relative error = 3.0709817187207702167662726078296e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1977
y[1] (analytic) = 2.0194166513295030791442115743632
y[1] (numeric) = 2.0194166513295030791448322702773
absolute error = 6.206959141e-22
relative error = 3.0736396755536241553577570231514e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1978
y[1] (analytic) = 2.0194361725311326874800806845223
y[1] (numeric) = 2.0194361725311326874807019229649
absolute error = 6.212384426e-22
relative error = 3.0762964982515319495812727796768e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1979
y[1] (analytic) = 2.0194557033514971737166987951288
y[1] (numeric) = 2.019455703351497173717320575884
absolute error = 6.217807552e-22
relative error = 3.0789521858196247886084728232572e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.198
y[1] (analytic) = 2.0194752437902208216278989262891
y[1] (numeric) = 2.019475243790220821628521249141
absolute error = 6.223228519e-22
relative error = 3.0816067382534632990117218107273e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1981
y[1] (analytic) = 2.0194947938469277446448835754311
y[1] (numeric) = 2.0194947938469277446455064401638
absolute error = 6.228647327e-22
relative error = 3.0842601555486429533780481624466e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=331.8MB, alloc=4.3MB, time=43.79
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1982
y[1] (analytic) = 2.019514353521241885884573350583
y[1] (numeric) = 2.0195143535212418858851967569803
absolute error = 6.234063973e-22
relative error = 3.0869124362152884090874299060599e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1983
y[1] (analytic) = 2.0195339228127870181779667517818
y[1] (numeric) = 2.0195339228127870181785906996275
absolute error = 6.239478457e-22
relative error = 3.0895635802491080068810471860581e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1984
y[1] (analytic) = 2.0195535017211867440985110961687
y[1] (numeric) = 2.0195535017211867440991355852468
absolute error = 6.244890781e-22
relative error = 3.0922135886361628752682957247030e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1985
y[1] (analytic) = 2.019573090246064495990484582326
y[1] (numeric) = 2.0195730902460644959911096124202
absolute error = 6.250300942e-22
relative error = 3.0948624598867398399768230488466e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1986
y[1] (analytic) = 2.0195926883870435359973894894063
y[1] (numeric) = 2.0195926883870435359980150603003
absolute error = 6.255708940e-22
relative error = 3.0975101939966662731983363155179e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1987
y[1] (analytic) = 2.019612296143746956090356506608
y[1] (numeric) = 2.0196122961437469560909826180854
absolute error = 6.261114774e-22
relative error = 3.1001567904666598930072905851279e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1988
y[1] (analytic) = 2.0196319135157976780965601885465
y[1] (numeric) = 2.0196319135157976780971868403908
absolute error = 6.266518443e-22
relative error = 3.1028022487974925381749341997156e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1989
y[1] (analytic) = 2.0196515405028184537276455320696
y[1] (numeric) = 2.0196515405028184537282727240642
absolute error = 6.271919946e-22
relative error = 3.1054465684899901882569506356096e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.199
y[1] (analytic) = 2.0196711771044318646081656700649
y[1] (numeric) = 2.0196711771044318646087934019934
absolute error = 6.277319285e-22
relative error = 3.1080897505304232957237372213909e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1991
y[1] (analytic) = 2.0196908233202603223040306778067
y[1] (numeric) = 2.0196908233202603223046589494523
absolute error = 6.282716456e-22
relative error = 3.1107317929343069720891946780862e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1992
y[1] (analytic) = 2.0197104791499260683509674873841
y[1] (numeric) = 2.0197104791499260683515962985302
absolute error = 6.288111461e-22
relative error = 3.1133726966879911268085866453990e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
memory used=335.7MB, alloc=4.3MB, time=44.30
x[1] = 0.1993
y[1] (analytic) = 2.0197301445930511742829909057575
y[1] (numeric) = 2.0197301445930511742836202561873
absolute error = 6.293504298e-22
relative error = 3.1160124607973594471656773050201e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1994
y[1] (analytic) = 2.0197498196492575416608857319826
y[1] (numeric) = 2.0197498196492575416615156214791
absolute error = 6.298894965e-22
relative error = 3.1186510842683691131598823432718e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1995
y[1] (analytic) = 2.0197695043181669021006999691438
y[1] (numeric) = 2.0197695043181669021013303974903
absolute error = 6.304283465e-22
relative error = 3.1212885685825808396658275619423e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1996
y[1] (analytic) = 2.0197891985994008173022491265377
y[1] (numeric) = 2.0197891985994008173028800935172
absolute error = 6.309669795e-22
relative error = 3.1239249122509253336475851723554e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1997
y[1] (analytic) = 2.0198089024925806790776316076415
y[1] (numeric) = 2.0198089024925806790782631130368
absolute error = 6.315053953e-22
relative error = 3.1265601142795225167945889738544e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1998
y[1] (analytic) = 2.0198286159973277093797551794058
y[1] (numeric) = 2.0198286159973277093803872229998
absolute error = 6.320435940e-22
relative error = 3.1291941751598404506628716709964e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.1999
y[1] (analytic) = 2.0198483391132629603308745184062
y[1] (numeric) = 2.0198483391132629603315070999819
absolute error = 6.325815757e-22
relative error = 3.1318270953833628357046841666649e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.2
y[1] (analytic) = 2.0198680718400073142511398293878
y[1] (numeric) = 2.0198680718400073142517729487277
absolute error = 6.331193399e-22
relative error = 3.1344588724710979506863530204085e-20 %
h = 0.0001
Finished!
Maximum Iterations Reached before Solution Completed!
diff ( y , x , 1 ) = tanh ( x ) ;
Iterations = 1000
Total Elapsed Time = 44 Seconds
Elapsed Time(since restart) = 44 Seconds
Expected Time Remaining = 1 Hours 12 Minutes 37 Seconds
Optimized Time Remaining = 1 Hours 12 Minutes 35 Seconds
Time to Timeout = 14 Minutes 15 Seconds
Percent Done = 1.011 %
> quit
memory used=338.2MB, alloc=4.3MB, time=44.61