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> #BEGIN OUTFILE1
>
> # Begin Function number 3
> display_alot := proc(iter)
> global
> glob_iolevel,
> INFO,
> DEBUGMASSIVE,
> glob_max_terms,
> ALWAYS,
> DEBUGL,
> #Top Generate Globals Decl
> glob_current_iter,
> glob_hmin_init,
> years_in_century,
> hours_in_day,
> glob_display_flag,
> glob_max_trunc_err,
> glob_initial_pass,
> glob_almost_1,
> glob_curr_iter_when_opt,
> glob_max_sec,
> glob_optimal_start,
> glob_dump_analytic,
> glob_not_yet_finished,
> djd_debug,
> glob_optimal_expect_sec,
> glob_warned,
> glob_optimal_clock_start_sec,
> glob_reached_optimal_h,
> centuries_in_millinium,
> glob_warned2,
> glob_disp_incr,
> glob_clock_sec,
> glob_log10normmin,
> glob_iter,
> glob_no_eqs,
> min_in_hour,
> glob_subiter_method,
> glob_normmax,
> glob_start,
> glob_orig_start_sec,
> glob_max_hours,
> glob_large_float,
> glob_hmin,
> days_in_year,
> djd_debug2,
> glob_smallish_float,
> glob_small_float,
> glob_max_iter,
> glob_look_poles,
> glob_h,
> glob_dump,
> glob_max_minutes,
> glob_log10abserr,
> glob_abserr,
> glob_log10_abserr,
> glob_optimal_done,
> glob_clock_start_sec,
> glob_max_opt_iter,
> glob_percent_done,
> glob_unchanged_h_cnt,
> glob_max_rel_trunc_err,
> glob_hmax,
> glob_not_yet_start_msg,
> sec_in_min,
> glob_log10relerr,
> MAX_UNCHANGED,
> glob_relerr,
> glob_log10_relerr,
> glob_last_good_h,
> glob_html_log,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1D0,
> array_const_1,
> array_const_0D0,
> #END CONST
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_y_init,
> array_1st_rel_error,
> array_y,
> array_x,
> array_m1,
> array_last_rel_error,
> array_pole,
> array_norms,
> array_type_pole,
> array_y_higher_work2,
> array_real_pole,
> array_y_higher,
> array_y_set_initial,
> array_y_higher_work,
> array_complex_pole,
> array_poles,
> glob_last;
>
> local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
> #TOP DISPLAY ALOT
> if (iter >= 0) then # if number 1
> ind_var := array_x[1];
> omniout_float(ALWAYS,"x[1] ",33,ind_var,20," ");
> analytic_val_y := exact_soln_y(ind_var);
> omniout_float(ALWAYS,"y[1] (analytic) ",33,analytic_val_y,20," ");
> term_no := 1;
> numeric_val := array_y[term_no];
> abserr := abs(numeric_val - analytic_val_y);
> omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," ");
> if (abs(analytic_val_y) <> 0.0) then # if number 2
> relerr := abserr*100.0/abs(analytic_val_y);
> else
> relerr := -1.0 ;
> fi;# end if 2
> ;
> if glob_iter = 1 then # if number 2
> array_1st_rel_error[1] := relerr;
> else
> array_last_rel_error[1] := relerr;
> fi;# end if 2
> ;
> omniout_float(ALWAYS,"absolute error ",4,abserr,20," ");
> omniout_float(ALWAYS,"relative error ",4,relerr,20,"%");
> omniout_float(ALWAYS,"h ",4,glob_h,20," ");
> #BOTTOM DISPLAY ALOT
> fi;# end if 1
> ;
> # End Function number 3
> end;
display_alot := proc(iter)
local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
global glob_iolevel, INFO, DEBUGMASSIVE, glob_max_terms, ALWAYS, DEBUGL,
glob_current_iter, glob_hmin_init, years_in_century, hours_in_day,
glob_display_flag, glob_max_trunc_err, glob_initial_pass, glob_almost_1,
glob_curr_iter_when_opt, glob_max_sec, glob_optimal_start,
glob_dump_analytic, glob_not_yet_finished, djd_debug,
glob_optimal_expect_sec, glob_warned, glob_optimal_clock_start_sec,
glob_reached_optimal_h, centuries_in_millinium, glob_warned2,
glob_disp_incr, glob_clock_sec, glob_log10normmin, glob_iter, glob_no_eqs,
min_in_hour, glob_subiter_method, glob_normmax, glob_start,
glob_orig_start_sec, glob_max_hours, glob_large_float, glob_hmin,
days_in_year, djd_debug2, glob_smallish_float, glob_small_float,
glob_max_iter, glob_look_poles, glob_h, glob_dump, glob_max_minutes,
glob_log10abserr, glob_abserr, glob_log10_abserr, glob_optimal_done,
glob_clock_start_sec, glob_max_opt_iter, glob_percent_done,
glob_unchanged_h_cnt, glob_max_rel_trunc_err, glob_hmax,
glob_not_yet_start_msg, sec_in_min, glob_log10relerr, MAX_UNCHANGED,
glob_relerr, glob_log10_relerr, glob_last_good_h, glob_html_log,
array_const_1D0, array_const_1, array_const_0D0, array_tmp0, array_tmp1,
array_tmp2, array_tmp3, array_tmp4, array_y_init, array_1st_rel_error,
array_y, array_x, array_m1, array_last_rel_error, array_pole, array_norms,
array_type_pole, array_y_higher_work2, array_real_pole, array_y_higher,
array_y_set_initial, array_y_higher_work, array_complex_pole, array_poles,
glob_last;
if 0 <= iter then
ind_var := array_x[1];
omniout_float(ALWAYS, "x[1] ", 33,
ind_var, 20, " ");
analytic_val_y := exact_soln_y(ind_var);
omniout_float(ALWAYS, "y[1] (analytic) ", 33,
analytic_val_y, 20, " ");
term_no := 1;
numeric_val := array_y[term_no];
abserr := abs(numeric_val - analytic_val_y);
omniout_float(ALWAYS, "y[1] (numeric) ", 33,
numeric_val, 20, " ");
if abs(analytic_val_y) <> 0. then
relerr := abserr*100.0/abs(analytic_val_y)
else relerr := -1.0
end if;
if glob_iter = 1 then array_1st_rel_error[1] := relerr
else array_last_rel_error[1] := relerr
end if;
omniout_float(ALWAYS, "absolute error ", 4,
abserr, 20, " ");
omniout_float(ALWAYS, "relative error ", 4,
relerr, 20, "%");
omniout_float(ALWAYS, "h ", 4,
glob_h, 20, " ")
end if
end proc
> # Begin Function number 4
> adjust_for_pole := proc(h_param)
> global
> glob_iolevel,
> INFO,
> DEBUGMASSIVE,
> glob_max_terms,
> ALWAYS,
> DEBUGL,
> #Top Generate Globals Decl
> glob_current_iter,
> glob_hmin_init,
> years_in_century,
> hours_in_day,
> glob_display_flag,
> glob_max_trunc_err,
> glob_initial_pass,
> glob_almost_1,
> glob_curr_iter_when_opt,
> glob_max_sec,
> glob_optimal_start,
> glob_dump_analytic,
> glob_not_yet_finished,
> djd_debug,
> glob_optimal_expect_sec,
> glob_warned,
> glob_optimal_clock_start_sec,
> glob_reached_optimal_h,
> centuries_in_millinium,
> glob_warned2,
> glob_disp_incr,
> glob_clock_sec,
> glob_log10normmin,
> glob_iter,
> glob_no_eqs,
> min_in_hour,
> glob_subiter_method,
> glob_normmax,
> glob_start,
> glob_orig_start_sec,
> glob_max_hours,
> glob_large_float,
> glob_hmin,
> days_in_year,
> djd_debug2,
> glob_smallish_float,
> glob_small_float,
> glob_max_iter,
> glob_look_poles,
> glob_h,
> glob_dump,
> glob_max_minutes,
> glob_log10abserr,
> glob_abserr,
> glob_log10_abserr,
> glob_optimal_done,
> glob_clock_start_sec,
> glob_max_opt_iter,
> glob_percent_done,
> glob_unchanged_h_cnt,
> glob_max_rel_trunc_err,
> glob_hmax,
> glob_not_yet_start_msg,
> sec_in_min,
> glob_log10relerr,
> MAX_UNCHANGED,
> glob_relerr,
> glob_log10_relerr,
> glob_last_good_h,
> glob_html_log,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1D0,
> array_const_1,
> array_const_0D0,
> #END CONST
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_y_init,
> array_1st_rel_error,
> array_y,
> array_x,
> array_m1,
> array_last_rel_error,
> array_pole,
> array_norms,
> array_type_pole,
> array_y_higher_work2,
> array_real_pole,
> array_y_higher,
> array_y_set_initial,
> array_y_higher_work,
> array_complex_pole,
> array_poles,
> glob_last;
>
> local hnew, sz2, tmp;
> #TOP ADJUST FOR POLE
>
> hnew := h_param;
> glob_normmax := glob_small_float;
> if (abs(array_y_higher[1,1]) > glob_small_float) then # if number 1
> tmp := abs(array_y_higher[1,1]);
> if (tmp < glob_normmax) then # if number 2
> glob_normmax := tmp;
> fi;# end if 2
> fi;# end if 1
> ;
> if (glob_look_poles and (abs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1
> sz2 := array_pole[1]/10.0;
> if (sz2 < hnew) then # if number 2
> omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity.");
> omniout_str(INFO,"Reached Optimal");
> newline();
> return(hnew);
> fi;# end if 2
> fi;# end if 1
> ;
> if (not glob_reached_optimal_h) then # if number 1
> glob_reached_optimal_h := true;
> glob_curr_iter_when_opt := glob_current_iter;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> glob_optimal_start := array_x[1];
> fi;# end if 1
> ;
> hnew := sz2;
> #END block
> #BOTTOM ADJUST FOR POLE
> # End Function number 4
> end;
adjust_for_pole := proc(h_param)
local hnew, sz2, tmp;
global glob_iolevel, INFO, DEBUGMASSIVE, glob_max_terms, ALWAYS, DEBUGL,
glob_current_iter, glob_hmin_init, years_in_century, hours_in_day,
glob_display_flag, glob_max_trunc_err, glob_initial_pass, glob_almost_1,
glob_curr_iter_when_opt, glob_max_sec, glob_optimal_start,
glob_dump_analytic, glob_not_yet_finished, djd_debug,
glob_optimal_expect_sec, glob_warned, glob_optimal_clock_start_sec,
glob_reached_optimal_h, centuries_in_millinium, glob_warned2,
glob_disp_incr, glob_clock_sec, glob_log10normmin, glob_iter, glob_no_eqs,
min_in_hour, glob_subiter_method, glob_normmax, glob_start,
glob_orig_start_sec, glob_max_hours, glob_large_float, glob_hmin,
days_in_year, djd_debug2, glob_smallish_float, glob_small_float,
glob_max_iter, glob_look_poles, glob_h, glob_dump, glob_max_minutes,
glob_log10abserr, glob_abserr, glob_log10_abserr, glob_optimal_done,
glob_clock_start_sec, glob_max_opt_iter, glob_percent_done,
glob_unchanged_h_cnt, glob_max_rel_trunc_err, glob_hmax,
glob_not_yet_start_msg, sec_in_min, glob_log10relerr, MAX_UNCHANGED,
glob_relerr, glob_log10_relerr, glob_last_good_h, glob_html_log,
array_const_1D0, array_const_1, array_const_0D0, array_tmp0, array_tmp1,
array_tmp2, array_tmp3, array_tmp4, array_y_init, array_1st_rel_error,
array_y, array_x, array_m1, array_last_rel_error, array_pole, array_norms,
array_type_pole, array_y_higher_work2, array_real_pole, array_y_higher,
array_y_set_initial, array_y_higher_work, array_complex_pole, array_poles,
glob_last;
hnew := h_param;
glob_normmax := glob_small_float;
if glob_small_float < abs(array_y_higher[1, 1]) then
tmp := abs(array_y_higher[1, 1]);
if tmp < glob_normmax then glob_normmax := tmp end if
end if;
if glob_look_poles and glob_small_float < abs(array_pole[1]) and
array_pole[1] <> glob_large_float then
sz2 := array_pole[1]/10.0;
if sz2 < hnew then
omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity.");
omniout_str(INFO, "Reached Optimal");
newline();
return hnew
end if
end if;
if not glob_reached_optimal_h then
glob_reached_optimal_h := true;
glob_curr_iter_when_opt := glob_current_iter;
glob_optimal_clock_start_sec := elapsed_time_seconds();
glob_optimal_start := array_x[1]
end if;
hnew := sz2
end proc
> # Begin Function number 5
> prog_report := proc(x_start,x_end)
> global
> glob_iolevel,
> INFO,
> DEBUGMASSIVE,
> glob_max_terms,
> ALWAYS,
> DEBUGL,
> #Top Generate Globals Decl
> glob_current_iter,
> glob_hmin_init,
> years_in_century,
> hours_in_day,
> glob_display_flag,
> glob_max_trunc_err,
> glob_initial_pass,
> glob_almost_1,
> glob_curr_iter_when_opt,
> glob_max_sec,
> glob_optimal_start,
> glob_dump_analytic,
> glob_not_yet_finished,
> djd_debug,
> glob_optimal_expect_sec,
> glob_warned,
> glob_optimal_clock_start_sec,
> glob_reached_optimal_h,
> centuries_in_millinium,
> glob_warned2,
> glob_disp_incr,
> glob_clock_sec,
> glob_log10normmin,
> glob_iter,
> glob_no_eqs,
> min_in_hour,
> glob_subiter_method,
> glob_normmax,
> glob_start,
> glob_orig_start_sec,
> glob_max_hours,
> glob_large_float,
> glob_hmin,
> days_in_year,
> djd_debug2,
> glob_smallish_float,
> glob_small_float,
> glob_max_iter,
> glob_look_poles,
> glob_h,
> glob_dump,
> glob_max_minutes,
> glob_log10abserr,
> glob_abserr,
> glob_log10_abserr,
> glob_optimal_done,
> glob_clock_start_sec,
> glob_max_opt_iter,
> glob_percent_done,
> glob_unchanged_h_cnt,
> glob_max_rel_trunc_err,
> glob_hmax,
> glob_not_yet_start_msg,
> sec_in_min,
> glob_log10relerr,
> MAX_UNCHANGED,
> glob_relerr,
> glob_log10_relerr,
> glob_last_good_h,
> glob_html_log,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1D0,
> array_const_1,
> array_const_0D0,
> #END CONST
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_y_init,
> array_1st_rel_error,
> array_y,
> array_x,
> array_m1,
> array_last_rel_error,
> array_pole,
> array_norms,
> array_type_pole,
> array_y_higher_work2,
> array_real_pole,
> array_y_higher,
> array_y_set_initial,
> array_y_higher_work,
> array_complex_pole,
> array_poles,
> glob_last;
>
> local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec;
> #TOP PROGRESS REPORT
> clock_sec1 := elapsed_time_seconds();
> total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
> glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
> left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1);
> expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h) ,convfloat( clock_sec1) - convfloat(glob_orig_start_sec));
> opt_clock_sec := convfloat( clock_sec1) - convfloat(glob_optimal_clock_start_sec);
> glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec));
> percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h));
> glob_percent_done := percent_done;
> omniout_str_noeol(INFO,"Total Elapsed Time ");
> omniout_timestr(convfloat(total_clock_sec));
> omniout_str_noeol(INFO,"Elapsed Time(since restart) ");
> omniout_timestr(convfloat(glob_clock_sec));
> if convfloat(percent_done) < convfloat(100.0) then # if number 1
> omniout_str_noeol(INFO,"Expected Time Remaining ");
> omniout_timestr(convfloat(expect_sec));
> omniout_str_noeol(INFO,"Optimized Time Remaining ");
> omniout_timestr(convfloat(glob_optimal_expect_sec));
> fi;# end if 1
> ;
> omniout_str_noeol(INFO,"Time to Timeout ");
> omniout_timestr(convfloat(left_sec));
> omniout_float(INFO, "Percent Done ",33,percent_done,4,"%");
> #BOTTOM PROGRESS REPORT
> # End Function number 5
> end;
prog_report := proc(x_start, x_end)
local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec,
percent_done, total_clock_sec;
global glob_iolevel, INFO, DEBUGMASSIVE, glob_max_terms, ALWAYS, DEBUGL,
glob_current_iter, glob_hmin_init, years_in_century, hours_in_day,
glob_display_flag, glob_max_trunc_err, glob_initial_pass, glob_almost_1,
glob_curr_iter_when_opt, glob_max_sec, glob_optimal_start,
glob_dump_analytic, glob_not_yet_finished, djd_debug,
glob_optimal_expect_sec, glob_warned, glob_optimal_clock_start_sec,
glob_reached_optimal_h, centuries_in_millinium, glob_warned2,
glob_disp_incr, glob_clock_sec, glob_log10normmin, glob_iter, glob_no_eqs,
min_in_hour, glob_subiter_method, glob_normmax, glob_start,
glob_orig_start_sec, glob_max_hours, glob_large_float, glob_hmin,
days_in_year, djd_debug2, glob_smallish_float, glob_small_float,
glob_max_iter, glob_look_poles, glob_h, glob_dump, glob_max_minutes,
glob_log10abserr, glob_abserr, glob_log10_abserr, glob_optimal_done,
glob_clock_start_sec, glob_max_opt_iter, glob_percent_done,
glob_unchanged_h_cnt, glob_max_rel_trunc_err, glob_hmax,
glob_not_yet_start_msg, sec_in_min, glob_log10relerr, MAX_UNCHANGED,
glob_relerr, glob_log10_relerr, glob_last_good_h, glob_html_log,
array_const_1D0, array_const_1, array_const_0D0, array_tmp0, array_tmp1,
array_tmp2, array_tmp3, array_tmp4, array_y_init, array_1st_rel_error,
array_y, array_x, array_m1, array_last_rel_error, array_pole, array_norms,
array_type_pole, array_y_higher_work2, array_real_pole, array_y_higher,
array_y_set_initial, array_y_higher_work, array_complex_pole, array_poles,
glob_last;
clock_sec1 := elapsed_time_seconds();
total_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
glob_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec)
- convfloat(clock_sec1);
expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h),
convfloat(clock_sec1) - convfloat(glob_orig_start_sec));
opt_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec);
glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),
convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h),
convfloat(opt_clock_sec));
percent_done := comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h));
glob_percent_done := percent_done;
omniout_str_noeol(INFO, "Total Elapsed Time ");
omniout_timestr(convfloat(total_clock_sec));
omniout_str_noeol(INFO, "Elapsed Time(since restart) ");
omniout_timestr(convfloat(glob_clock_sec));
if convfloat(percent_done) < convfloat(100.0) then
omniout_str_noeol(INFO, "Expected Time Remaining ");
omniout_timestr(convfloat(expect_sec));
omniout_str_noeol(INFO, "Optimized Time Remaining ");
omniout_timestr(convfloat(glob_optimal_expect_sec))
end if;
omniout_str_noeol(INFO, "Time to Timeout ");
omniout_timestr(convfloat(left_sec));
omniout_float(INFO, "Percent Done ", 33,
percent_done, 4, "%")
end proc
> # Begin Function number 6
> check_for_pole := proc()
> global
> glob_iolevel,
> INFO,
> DEBUGMASSIVE,
> glob_max_terms,
> ALWAYS,
> DEBUGL,
> #Top Generate Globals Decl
> glob_current_iter,
> glob_hmin_init,
> years_in_century,
> hours_in_day,
> glob_display_flag,
> glob_max_trunc_err,
> glob_initial_pass,
> glob_almost_1,
> glob_curr_iter_when_opt,
> glob_max_sec,
> glob_optimal_start,
> glob_dump_analytic,
> glob_not_yet_finished,
> djd_debug,
> glob_optimal_expect_sec,
> glob_warned,
> glob_optimal_clock_start_sec,
> glob_reached_optimal_h,
> centuries_in_millinium,
> glob_warned2,
> glob_disp_incr,
> glob_clock_sec,
> glob_log10normmin,
> glob_iter,
> glob_no_eqs,
> min_in_hour,
> glob_subiter_method,
> glob_normmax,
> glob_start,
> glob_orig_start_sec,
> glob_max_hours,
> glob_large_float,
> glob_hmin,
> days_in_year,
> djd_debug2,
> glob_smallish_float,
> glob_small_float,
> glob_max_iter,
> glob_look_poles,
> glob_h,
> glob_dump,
> glob_max_minutes,
> glob_log10abserr,
> glob_abserr,
> glob_log10_abserr,
> glob_optimal_done,
> glob_clock_start_sec,
> glob_max_opt_iter,
> glob_percent_done,
> glob_unchanged_h_cnt,
> glob_max_rel_trunc_err,
> glob_hmax,
> glob_not_yet_start_msg,
> sec_in_min,
> glob_log10relerr,
> MAX_UNCHANGED,
> glob_relerr,
> glob_log10_relerr,
> glob_last_good_h,
> glob_html_log,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1D0,
> array_const_1,
> array_const_0D0,
> #END CONST
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_y_init,
> array_1st_rel_error,
> array_y,
> array_x,
> array_m1,
> array_last_rel_error,
> array_pole,
> array_norms,
> array_type_pole,
> array_y_higher_work2,
> array_real_pole,
> array_y_higher,
> array_y_set_initial,
> array_y_higher_work,
> array_complex_pole,
> array_poles,
> glob_last;
>
> local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found;
> #TOP CHECK FOR POLE
> #IN RADII REAL EQ = 1
> #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 1
> #Applies to pole of arbitrary r_order on the real axis,
> #Due to Prof. George Corliss.
> n := glob_max_terms;
> m := n - 1 - 1;
> while ((m >= 10) and ((abs(array_y_higher[1,m]) < glob_small_float) or (abs(array_y_higher[1,m-1]) < glob_small_float) or (abs(array_y_higher[1,m-2]) < glob_small_float ))) do # do number 2
> m := m - 1;
> od;# end do number 2
> ;
> if (m > 10) then # if number 1
> rm0 := array_y_higher[1,m]/array_y_higher[1,m-1];
> rm1 := array_y_higher[1,m-1]/array_y_higher[1,m-2];
> hdrc := convfloat(m-1)*rm0-convfloat(m-2)*rm1;
> if (abs(hdrc) > glob_small_float) then # if number 2
> rcs := glob_h/hdrc;
> ord_no := convfloat(m-1)*rm0/hdrc - convfloat(m) + 2.0;
> array_real_pole[1,1] := rcs;
> array_real_pole[1,2] := ord_no;
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 2
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 1
> ;
> #BOTTOM RADII REAL EQ = 1
> #TOP RADII COMPLEX EQ = 1
> #Computes radius of convergence for complex conjugate pair of poles.
> #from 6 adjacent Taylor series terms
> #Also computes r_order of poles.
> #Due to Manuel Prieto.
> #With a correction by Dennis J. Darland
> n := glob_max_terms - 1 - 1;
> cnt := 0;
> while ((cnt < 5) and (n >= 10)) do # do number 2
> if (abs(array_y_higher[1,n]) > glob_small_float) then # if number 1
> cnt := cnt + 1;
> else
> cnt := 0;
> fi;# end if 1
> ;
> n := n - 1;
> od;# end do number 2
> ;
> m := n + cnt;
> if (m <= 10) then # if number 1
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := glob_large_float;
> elif (abs(array_y_higher[1,m]) >= (glob_large_float)) or (abs(array_y_higher[1,m-1]) >=(glob_large_float)) or (abs(array_y_higher[1,m-2]) >= (glob_large_float)) or (abs(array_y_higher[1,m-3]) >= (glob_large_float)) or (abs(array_y_higher[1,m-4]) >= (glob_large_float)) or (abs(array_y_higher[1,m-5]) >= (glob_large_float)) then # if number 2
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := glob_large_float;
> else
> rm0 := (array_y_higher[1,m])/(array_y_higher[1,m-1]);
> rm1 := (array_y_higher[1,m-1])/(array_y_higher[1,m-2]);
> rm2 := (array_y_higher[1,m-2])/(array_y_higher[1,m-3]);
> rm3 := (array_y_higher[1,m-3])/(array_y_higher[1,m-4]);
> rm4 := (array_y_higher[1,m-4])/(array_y_higher[1,m-5]);
> nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2;
> nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3;
> dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
> dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
> ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
> ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
> if ((abs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (abs(dr1) <= glob_small_float)) then # if number 3
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := glob_large_float;
> else
> if (abs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 4
> rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1));
> #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1)
> ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0;
> if (abs(rcs) > glob_small_float) then # if number 5
> if (rcs > 0.0) then # if number 6
> rad_c := sqrt(rcs) * glob_h;
> else
> rad_c := glob_large_float;
> fi;# end if 6
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 5
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 4
> fi;# end if 3
> ;
> array_complex_pole[1,1] := rad_c;
> array_complex_pole[1,2] := ord_no;
> fi;# end if 2
> ;
> #BOTTOM RADII COMPLEX EQ = 1
> found := false;
> #TOP WHICH RADII EQ = 1
> if not found and ((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float)) and ((array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0)) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> found := true;
> array_type_pole[1] := 2;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"Complex estimate of poles used");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> if not found and ((array_real_pole[1,1] <> glob_large_float) and (array_real_pole[1,2] <> glob_large_float) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float) or (array_complex_pole[1,1] <= 0.0 ) or (array_complex_pole[1,2] <= 0.0))) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found := true;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"Real estimate of pole used");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> if not found and (((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float))) then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> found := true;
> array_type_pole[1] := 3;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"NO POLE");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> if not found and ((array_real_pole[1,1] < array_complex_pole[1,1]) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0)) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found := true;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"Real estimate of pole used");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> if not found and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float) and (array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0)) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> array_type_pole[1] := 2;
> found := true;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"Complex estimate of poles used");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> if not found then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> array_type_pole[1] := 3;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"NO POLE");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> #BOTTOM WHICH RADII EQ = 1
> array_pole[1] := glob_large_float;
> array_pole[2] := glob_large_float;
> #TOP WHICH RADIUS EQ = 1
> if array_pole[1] > array_poles[1,1] then # if number 2
> array_pole[1] := array_poles[1,1];
> array_pole[2] := array_poles[1,2];
> fi;# end if 2
> ;
> #BOTTOM WHICH RADIUS EQ = 1
> #BOTTOM CHECK FOR POLE
> display_pole();
> # End Function number 6
> end;
check_for_pole := proc()
local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs,
rm0, rm1, rm2, rm3, rm4, found;
global glob_iolevel, INFO, DEBUGMASSIVE, glob_max_terms, ALWAYS, DEBUGL,
glob_current_iter, glob_hmin_init, years_in_century, hours_in_day,
glob_display_flag, glob_max_trunc_err, glob_initial_pass, glob_almost_1,
glob_curr_iter_when_opt, glob_max_sec, glob_optimal_start,
glob_dump_analytic, glob_not_yet_finished, djd_debug,
glob_optimal_expect_sec, glob_warned, glob_optimal_clock_start_sec,
glob_reached_optimal_h, centuries_in_millinium, glob_warned2,
glob_disp_incr, glob_clock_sec, glob_log10normmin, glob_iter, glob_no_eqs,
min_in_hour, glob_subiter_method, glob_normmax, glob_start,
glob_orig_start_sec, glob_max_hours, glob_large_float, glob_hmin,
days_in_year, djd_debug2, glob_smallish_float, glob_small_float,
glob_max_iter, glob_look_poles, glob_h, glob_dump, glob_max_minutes,
glob_log10abserr, glob_abserr, glob_log10_abserr, glob_optimal_done,
glob_clock_start_sec, glob_max_opt_iter, glob_percent_done,
glob_unchanged_h_cnt, glob_max_rel_trunc_err, glob_hmax,
glob_not_yet_start_msg, sec_in_min, glob_log10relerr, MAX_UNCHANGED,
glob_relerr, glob_log10_relerr, glob_last_good_h, glob_html_log,
array_const_1D0, array_const_1, array_const_0D0, array_tmp0, array_tmp1,
array_tmp2, array_tmp3, array_tmp4, array_y_init, array_1st_rel_error,
array_y, array_x, array_m1, array_last_rel_error, array_pole, array_norms,
array_type_pole, array_y_higher_work2, array_real_pole, array_y_higher,
array_y_set_initial, array_y_higher_work, array_complex_pole, array_poles,
glob_last;
n := glob_max_terms;
m := n - 2;
while 10 <= m and (abs(array_y_higher[1, m]) < glob_small_float or
abs(array_y_higher[1, m - 1]) < glob_small_float or
abs(array_y_higher[1, m - 2]) < glob_small_float) do m := m - 1
end do;
if 10 < m then
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
hdrc := convfloat(m - 1)*rm0 - convfloat(m - 2)*rm1;
if glob_small_float < abs(hdrc) then
rcs := glob_h/hdrc;
ord_no := convfloat(m - 1)*rm0/hdrc - convfloat(m) + 2.0;
array_real_pole[1, 1] := rcs;
array_real_pole[1, 2] := ord_no
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if;
n := glob_max_terms - 2;
cnt := 0;
while cnt < 5 and 10 <= n do
if glob_small_float < abs(array_y_higher[1, n]) then cnt := cnt + 1
else cnt := 0
end if;
n := n - 1
end do;
m := n + cnt;
if m <= 10 then
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := glob_large_float
elif glob_large_float <= abs(array_y_higher[1, m]) or
glob_large_float <= abs(array_y_higher[1, m - 1]) or
glob_large_float <= abs(array_y_higher[1, m - 2]) or
glob_large_float <= abs(array_y_higher[1, m - 3]) or
glob_large_float <= abs(array_y_higher[1, m - 4]) or
glob_large_float <= abs(array_y_higher[1, m - 5]) then
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := glob_large_float
else
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
rm2 := array_y_higher[1, m - 2]/array_y_higher[1, m - 3];
rm3 := array_y_higher[1, m - 3]/array_y_higher[1, m - 4];
rm4 := array_y_higher[1, m - 4]/array_y_higher[1, m - 5];
nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1
+ convfloat(m - 3)*rm2;
nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2
+ convfloat(m - 4)*rm3;
dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
if abs(nr1*dr2 - nr2*dr1) <= glob_small_float or
abs(dr1) <= glob_small_float then
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := glob_large_float
else
if glob_small_float < abs(nr1*dr2 - nr2*dr1) then
rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1);
ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0;
if glob_small_float < abs(rcs) then
if 0. < rcs then rad_c := sqrt(rcs)*glob_h
else rad_c := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
end if;
array_complex_pole[1, 1] := rad_c;
array_complex_pole[1, 2] := ord_no
end if;
found := false;
if not found and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and
array_complex_pole[1, 1] <> glob_large_float and
array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
found := true;
array_type_pole[1] := 2;
if glob_display_flag then
omniout_str(ALWAYS, "Complex estimate of poles used")
end if
end if;
if not found and array_real_pole[1, 1] <> glob_large_float and
array_real_pole[1, 2] <> glob_large_float and
0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float or
array_complex_pole[1, 1] <= 0. or array_complex_pole[1, 2] <= 0.) then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found := true;
array_type_pole[1] := 1;
if glob_display_flag then
omniout_str(ALWAYS, "Real estimate of pole used")
end if
end if;
if not found and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float) then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
found := true;
array_type_pole[1] := 3;
if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if
end if;
if not found and array_real_pole[1, 1] < array_complex_pole[1, 1] and
0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found := true;
array_type_pole[1] := 1;
if glob_display_flag then
omniout_str(ALWAYS, "Real estimate of pole used")
end if
end if;
if not found and array_complex_pole[1, 1] <> glob_large_float and
array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
array_type_pole[1] := 2;
found := true;
if glob_display_flag then
omniout_str(ALWAYS, "Complex estimate of poles used")
end if
end if;
if not found then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
array_type_pole[1] := 3;
if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if
end if;
array_pole[1] := glob_large_float;
array_pole[2] := glob_large_float;
if array_poles[1, 1] < array_pole[1] then
array_pole[1] := array_poles[1, 1];
array_pole[2] := array_poles[1, 2]
end if;
display_pole()
end proc
> # Begin Function number 7
> get_norms := proc()
> global
> glob_iolevel,
> INFO,
> DEBUGMASSIVE,
> glob_max_terms,
> ALWAYS,
> DEBUGL,
> #Top Generate Globals Decl
> glob_current_iter,
> glob_hmin_init,
> years_in_century,
> hours_in_day,
> glob_display_flag,
> glob_max_trunc_err,
> glob_initial_pass,
> glob_almost_1,
> glob_curr_iter_when_opt,
> glob_max_sec,
> glob_optimal_start,
> glob_dump_analytic,
> glob_not_yet_finished,
> djd_debug,
> glob_optimal_expect_sec,
> glob_warned,
> glob_optimal_clock_start_sec,
> glob_reached_optimal_h,
> centuries_in_millinium,
> glob_warned2,
> glob_disp_incr,
> glob_clock_sec,
> glob_log10normmin,
> glob_iter,
> glob_no_eqs,
> min_in_hour,
> glob_subiter_method,
> glob_normmax,
> glob_start,
> glob_orig_start_sec,
> glob_max_hours,
> glob_large_float,
> glob_hmin,
> days_in_year,
> djd_debug2,
> glob_smallish_float,
> glob_small_float,
> glob_max_iter,
> glob_look_poles,
> glob_h,
> glob_dump,
> glob_max_minutes,
> glob_log10abserr,
> glob_abserr,
> glob_log10_abserr,
> glob_optimal_done,
> glob_clock_start_sec,
> glob_max_opt_iter,
> glob_percent_done,
> glob_unchanged_h_cnt,
> glob_max_rel_trunc_err,
> glob_hmax,
> glob_not_yet_start_msg,
> sec_in_min,
> glob_log10relerr,
> MAX_UNCHANGED,
> glob_relerr,
> glob_log10_relerr,
> glob_last_good_h,
> glob_html_log,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1D0,
> array_const_1,
> array_const_0D0,
> #END CONST
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_y_init,
> array_1st_rel_error,
> array_y,
> array_x,
> array_m1,
> array_last_rel_error,
> array_pole,
> array_norms,
> array_type_pole,
> array_y_higher_work2,
> array_real_pole,
> array_y_higher,
> array_y_set_initial,
> array_y_higher_work,
> array_complex_pole,
> array_poles,
> glob_last;
>
> local iii;
> if (not glob_initial_pass) then # if number 2
> set_z(array_norms,glob_max_terms+1);
> #TOP GET NORMS
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> if (abs(array_y[iii]) > array_norms[iii]) then # if number 3
> array_norms[iii] := abs(array_y[iii]);
> fi;# end if 3
> ;
> iii := iii + 1;
> od;# end do number 2
> #GET NORMS
> ;
> fi;# end if 2
> ;
> # End Function number 7
> end;
get_norms := proc()
local iii;
global glob_iolevel, INFO, DEBUGMASSIVE, glob_max_terms, ALWAYS, DEBUGL,
glob_current_iter, glob_hmin_init, years_in_century, hours_in_day,
glob_display_flag, glob_max_trunc_err, glob_initial_pass, glob_almost_1,
glob_curr_iter_when_opt, glob_max_sec, glob_optimal_start,
glob_dump_analytic, glob_not_yet_finished, djd_debug,
glob_optimal_expect_sec, glob_warned, glob_optimal_clock_start_sec,
glob_reached_optimal_h, centuries_in_millinium, glob_warned2,
glob_disp_incr, glob_clock_sec, glob_log10normmin, glob_iter, glob_no_eqs,
min_in_hour, glob_subiter_method, glob_normmax, glob_start,
glob_orig_start_sec, glob_max_hours, glob_large_float, glob_hmin,
days_in_year, djd_debug2, glob_smallish_float, glob_small_float,
glob_max_iter, glob_look_poles, glob_h, glob_dump, glob_max_minutes,
glob_log10abserr, glob_abserr, glob_log10_abserr, glob_optimal_done,
glob_clock_start_sec, glob_max_opt_iter, glob_percent_done,
glob_unchanged_h_cnt, glob_max_rel_trunc_err, glob_hmax,
glob_not_yet_start_msg, sec_in_min, glob_log10relerr, MAX_UNCHANGED,
glob_relerr, glob_log10_relerr, glob_last_good_h, glob_html_log,
array_const_1D0, array_const_1, array_const_0D0, array_tmp0, array_tmp1,
array_tmp2, array_tmp3, array_tmp4, array_y_init, array_1st_rel_error,
array_y, array_x, array_m1, array_last_rel_error, array_pole, array_norms,
array_type_pole, array_y_higher_work2, array_real_pole, array_y_higher,
array_y_set_initial, array_y_higher_work, array_complex_pole, array_poles,
glob_last;
if not glob_initial_pass then
set_z(array_norms, glob_max_terms + 1);
iii := 1;
while iii <= glob_max_terms do
if array_norms[iii] < abs(array_y[iii]) then
array_norms[iii] := abs(array_y[iii])
end if;
iii := iii + 1
end do
end if
end proc
> # Begin Function number 8
> atomall := proc()
> global
> glob_iolevel,
> INFO,
> DEBUGMASSIVE,
> glob_max_terms,
> ALWAYS,
> DEBUGL,
> #Top Generate Globals Decl
> glob_current_iter,
> glob_hmin_init,
> years_in_century,
> hours_in_day,
> glob_display_flag,
> glob_max_trunc_err,
> glob_initial_pass,
> glob_almost_1,
> glob_curr_iter_when_opt,
> glob_max_sec,
> glob_optimal_start,
> glob_dump_analytic,
> glob_not_yet_finished,
> djd_debug,
> glob_optimal_expect_sec,
> glob_warned,
> glob_optimal_clock_start_sec,
> glob_reached_optimal_h,
> centuries_in_millinium,
> glob_warned2,
> glob_disp_incr,
> glob_clock_sec,
> glob_log10normmin,
> glob_iter,
> glob_no_eqs,
> min_in_hour,
> glob_subiter_method,
> glob_normmax,
> glob_start,
> glob_orig_start_sec,
> glob_max_hours,
> glob_large_float,
> glob_hmin,
> days_in_year,
> djd_debug2,
> glob_smallish_float,
> glob_small_float,
> glob_max_iter,
> glob_look_poles,
> glob_h,
> glob_dump,
> glob_max_minutes,
> glob_log10abserr,
> glob_abserr,
> glob_log10_abserr,
> glob_optimal_done,
> glob_clock_start_sec,
> glob_max_opt_iter,
> glob_percent_done,
> glob_unchanged_h_cnt,
> glob_max_rel_trunc_err,
> glob_hmax,
> glob_not_yet_start_msg,
> sec_in_min,
> glob_log10relerr,
> MAX_UNCHANGED,
> glob_relerr,
> glob_log10_relerr,
> glob_last_good_h,
> glob_html_log,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1D0,
> array_const_1,
> array_const_0D0,
> #END CONST
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_y_init,
> array_1st_rel_error,
> array_y,
> array_x,
> array_m1,
> array_last_rel_error,
> array_pole,
> array_norms,
> array_type_pole,
> array_y_higher_work2,
> array_real_pole,
> array_y_higher,
> array_y_set_initial,
> array_y_higher_work,
> array_complex_pole,
> array_poles,
> glob_last;
>
> local kkk, order_d, adj2, temporary, term;
> #TOP ATOMALL
> #END OUTFILE1
> #BEGIN ATOMHDR1
> # emit pre mult $eq_no = 1 i = 1
> array_tmp1[1] := (array_x[1] * (array_x[1]));
> #emit pre add $eq_no = 1 i = 1
> array_tmp2[1] := array_tmp1[1] + array_const_1D0[1];
> #emit pre div $eq_no = 1 i = 1
> array_tmp3[1] := (array_const_1D0[1] / (array_tmp2[1]));
> #emit pre add $eq_no = 1 i = 1
> array_tmp4[1] := array_const_0D0[1] + array_tmp3[1];
> #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5
> if not array_y_set_initial[1,2] then # if number 1
> if (1 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[1] * (glob_h ^ (1)) * factorial_3(0,1);
> array_y[2] := temporary;
> array_y_higher[1,2] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,1] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 2;
> #END ATOMHDR1
> #BEGIN ATOMHDR2
> # emit pre mult $eq_no = 1 i = 2
> array_tmp1[2] := ats(2,array_x,array_x,1);
> #emit pre add $eq_no = 1 i = 2
> array_tmp2[2] := array_tmp1[2] + array_const_1D0[2];
> #emit pre div $eq_no = 1 i = 2
> array_tmp3[2] := ((array_const_1D0[2] - ats(2,array_tmp2,array_tmp3,2))/array_tmp2[1]);
> #emit pre add $eq_no = 1 i = 2
> array_tmp4[2] := array_const_0D0[2] + array_tmp3[2];
> #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5
> if not array_y_set_initial[1,3] then # if number 1
> if (2 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[2] * (glob_h ^ (1)) * factorial_3(1,2);
> array_y[3] := temporary;
> array_y_higher[1,3] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,2] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 3;
> #END ATOMHDR2
> #BEGIN ATOMHDR3
> # emit pre mult $eq_no = 1 i = 3
> array_tmp1[3] := ats(3,array_x,array_x,1);
> #emit pre add $eq_no = 1 i = 3
> array_tmp2[3] := array_tmp1[3] + array_const_1D0[3];
> #emit pre div $eq_no = 1 i = 3
> array_tmp3[3] := ((array_const_1D0[3] - ats(3,array_tmp2,array_tmp3,2))/array_tmp2[1]);
> #emit pre add $eq_no = 1 i = 3
> array_tmp4[3] := array_const_0D0[3] + array_tmp3[3];
> #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5
> if not array_y_set_initial[1,4] then # if number 1
> if (3 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[3] * (glob_h ^ (1)) * factorial_3(2,3);
> array_y[4] := temporary;
> array_y_higher[1,4] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,3] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 4;
> #END ATOMHDR3
> #BEGIN ATOMHDR4
> # emit pre mult $eq_no = 1 i = 4
> array_tmp1[4] := ats(4,array_x,array_x,1);
> #emit pre add $eq_no = 1 i = 4
> array_tmp2[4] := array_tmp1[4] + array_const_1D0[4];
> #emit pre div $eq_no = 1 i = 4
> array_tmp3[4] := ((array_const_1D0[4] - ats(4,array_tmp2,array_tmp3,2))/array_tmp2[1]);
> #emit pre add $eq_no = 1 i = 4
> array_tmp4[4] := array_const_0D0[4] + array_tmp3[4];
> #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5
> if not array_y_set_initial[1,5] then # if number 1
> if (4 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[4] * (glob_h ^ (1)) * factorial_3(3,4);
> array_y[5] := temporary;
> array_y_higher[1,5] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,4] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 5;
> #END ATOMHDR4
> #BEGIN ATOMHDR5
> # emit pre mult $eq_no = 1 i = 5
> array_tmp1[5] := ats(5,array_x,array_x,1);
> #emit pre add $eq_no = 1 i = 5
> array_tmp2[5] := array_tmp1[5] + array_const_1D0[5];
> #emit pre div $eq_no = 1 i = 5
> array_tmp3[5] := ((array_const_1D0[5] - ats(5,array_tmp2,array_tmp3,2))/array_tmp2[1]);
> #emit pre add $eq_no = 1 i = 5
> array_tmp4[5] := array_const_0D0[5] + array_tmp3[5];
> #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5
> if not array_y_set_initial[1,6] then # if number 1
> if (5 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[5] * (glob_h ^ (1)) * factorial_3(4,5);
> array_y[6] := temporary;
> array_y_higher[1,6] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,5] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 6;
> #END ATOMHDR5
> #BEGIN OUTFILE3
> #Top Atomall While Loop-- outfile3
> while (kkk <= glob_max_terms) do # do number 1
> #END OUTFILE3
> #BEGIN OUTFILE4
> #emit mult $eq_no = 1
> array_tmp1[kkk] := ats(kkk,array_x,array_x,1);
> #emit add $eq_no = 1
> array_tmp2[kkk] := array_tmp1[kkk] + array_const_1D0[kkk];
> #emit div $eq_no = 1
> array_tmp3[kkk] := ((array_const_1D0[kkk] - ats(kkk,array_tmp2,array_tmp3,2))/array_tmp2[1]);
> #emit add $eq_no = 1
> array_tmp4[kkk] := array_const_0D0[kkk] + array_tmp3[kkk];
> #emit assign $eq_no = 1
> order_d := 1;
> if (kkk + order_d + 1 <= glob_max_terms) then # if number 1
> if not array_y_set_initial[1,kkk + order_d] then # if number 2
> temporary := array_tmp4[kkk] * (glob_h ^ (order_d)) / factorial_3((kkk - 1),(kkk + order_d - 1));
> array_y[kkk + order_d] := temporary;
> array_y_higher[1,kkk + order_d] := temporary;
> term := kkk + order_d - 1;
> adj2 := 2;
> while (adj2 <= order_d + 1) and (term >= 1) do # do number 2
> temporary := temporary / glob_h * convfp(adj2);
> array_y_higher[adj2,term] := temporary;
> adj2 := adj2 + 1;
> term := term - 1;
> od;# end do number 2
> fi;# end if 2
> fi;# end if 1
> ;
> kkk := kkk + 1;
> od;# end do number 1
> ;
> #BOTTOM ATOMALL
> #END OUTFILE4
> #BEGIN OUTFILE5
> # End Function number 8
> end;
atomall := proc()
local kkk, order_d, adj2, temporary, term;
global glob_iolevel, INFO, DEBUGMASSIVE, glob_max_terms, ALWAYS, DEBUGL,
glob_current_iter, glob_hmin_init, years_in_century, hours_in_day,
glob_display_flag, glob_max_trunc_err, glob_initial_pass, glob_almost_1,
glob_curr_iter_when_opt, glob_max_sec, glob_optimal_start,
glob_dump_analytic, glob_not_yet_finished, djd_debug,
glob_optimal_expect_sec, glob_warned, glob_optimal_clock_start_sec,
glob_reached_optimal_h, centuries_in_millinium, glob_warned2,
glob_disp_incr, glob_clock_sec, glob_log10normmin, glob_iter, glob_no_eqs,
min_in_hour, glob_subiter_method, glob_normmax, glob_start,
glob_orig_start_sec, glob_max_hours, glob_large_float, glob_hmin,
days_in_year, djd_debug2, glob_smallish_float, glob_small_float,
glob_max_iter, glob_look_poles, glob_h, glob_dump, glob_max_minutes,
glob_log10abserr, glob_abserr, glob_log10_abserr, glob_optimal_done,
glob_clock_start_sec, glob_max_opt_iter, glob_percent_done,
glob_unchanged_h_cnt, glob_max_rel_trunc_err, glob_hmax,
glob_not_yet_start_msg, sec_in_min, glob_log10relerr, MAX_UNCHANGED,
glob_relerr, glob_log10_relerr, glob_last_good_h, glob_html_log,
array_const_1D0, array_const_1, array_const_0D0, array_tmp0, array_tmp1,
array_tmp2, array_tmp3, array_tmp4, array_y_init, array_1st_rel_error,
array_y, array_x, array_m1, array_last_rel_error, array_pole, array_norms,
array_type_pole, array_y_higher_work2, array_real_pole, array_y_higher,
array_y_set_initial, array_y_higher_work, array_complex_pole, array_poles,
glob_last;
array_tmp1[1] := array_x[1]*array_x[1];
array_tmp2[1] := array_tmp1[1] + array_const_1D0[1];
array_tmp3[1] := array_const_1D0[1]/array_tmp2[1];
array_tmp4[1] := array_const_0D0[1] + array_tmp3[1];
if not array_y_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp4[1]*glob_h*factorial_3(0, 1);
array_y[2] := temporary;
array_y_higher[1, 2] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 1] := temporary
end if
end if;
kkk := 2;
array_tmp1[2] := ats(2, array_x, array_x, 1);
array_tmp2[2] := array_tmp1[2] + array_const_1D0[2];
array_tmp3[2] := (
array_const_1D0[2] - ats(2, array_tmp2, array_tmp3, 2))/
array_tmp2[1];
array_tmp4[2] := array_const_0D0[2] + array_tmp3[2];
if not array_y_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp4[2]*glob_h*factorial_3(1, 2);
array_y[3] := temporary;
array_y_higher[1, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 2] := temporary
end if
end if;
kkk := 3;
array_tmp1[3] := ats(3, array_x, array_x, 1);
array_tmp2[3] := array_tmp1[3] + array_const_1D0[3];
array_tmp3[3] := (
array_const_1D0[3] - ats(3, array_tmp2, array_tmp3, 2))/
array_tmp2[1];
array_tmp4[3] := array_const_0D0[3] + array_tmp3[3];
if not array_y_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp4[3]*glob_h*factorial_3(2, 3);
array_y[4] := temporary;
array_y_higher[1, 4] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 3] := temporary
end if
end if;
kkk := 4;
array_tmp1[4] := ats(4, array_x, array_x, 1);
array_tmp2[4] := array_tmp1[4] + array_const_1D0[4];
array_tmp3[4] := (
array_const_1D0[4] - ats(4, array_tmp2, array_tmp3, 2))/
array_tmp2[1];
array_tmp4[4] := array_const_0D0[4] + array_tmp3[4];
if not array_y_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp4[4]*glob_h*factorial_3(3, 4);
array_y[5] := temporary;
array_y_higher[1, 5] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 4] := temporary
end if
end if;
kkk := 5;
array_tmp1[5] := ats(5, array_x, array_x, 1);
array_tmp2[5] := array_tmp1[5] + array_const_1D0[5];
array_tmp3[5] := (
array_const_1D0[5] - ats(5, array_tmp2, array_tmp3, 2))/
array_tmp2[1];
array_tmp4[5] := array_const_0D0[5] + array_tmp3[5];
if not array_y_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp4[5]*glob_h*factorial_3(4, 5);
array_y[6] := temporary;
array_y_higher[1, 6] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 5] := temporary
end if
end if;
kkk := 6;
while kkk <= glob_max_terms do
array_tmp1[kkk] := ats(kkk, array_x, array_x, 1);
array_tmp2[kkk] := array_tmp1[kkk] + array_const_1D0[kkk];
array_tmp3[kkk] := (
array_const_1D0[kkk] - ats(kkk, array_tmp2, array_tmp3, 2))/
array_tmp2[1];
array_tmp4[kkk] := array_const_0D0[kkk] + array_tmp3[kkk];
order_d := 1;
if kkk + order_d + 1 <= glob_max_terms then
if not array_y_set_initial[1, kkk + order_d] then
temporary := array_tmp4[kkk]*glob_h^order_d/
factorial_3(kkk - 1, kkk + order_d - 1);
array_y[kkk + order_d] := temporary;
array_y_higher[1, kkk + order_d] := temporary;
term := kkk + order_d - 1;
adj2 := 2;
while adj2 <= order_d + 1 and 1 <= term do
temporary := temporary*convfp(adj2)/glob_h;
array_y_higher[adj2, term] := temporary;
adj2 := adj2 + 1;
term := term - 1
end do
end if
end if;
kkk := kkk + 1
end do
end proc
> #BEGIN ATS LIBRARY BLOCK
> omniout_str := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> printf("%s\n",str);
> fi;
> # End Function number 1
> end;
omniout_str := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s\n", str) end if
end proc
> omniout_str_noeol := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> printf("%s",str);
> fi;
> # End Function number 1
> end;
omniout_str_noeol := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s", str) end if
end proc
> omniout_labstr := proc(iolevel,label,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> print(label,str);
> fi;
> # End Function number 1
> end;
omniout_labstr := proc(iolevel, label, str)
global glob_iolevel;
if iolevel <= glob_iolevel then print(label, str) end if
end proc
> omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> if vallen = 4 then
> printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel);
> else
> printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel);
> fi;
> fi;
> # End Function number 1
> end;
omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 4 then
printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel)
else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel)
end if
end if
end proc
> omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> if vallen = 5 then
> printf("%-30s = %-32d %s\n",prelabel,value, postlabel);
> else
> printf("%-30s = %-32d %s \n",prelabel,value, postlabel);
> fi;
> fi;
> # End Function number 1
> end;
omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 5 then
printf("%-30s = %-32d %s\n", prelabel, value, postlabel)
else printf("%-30s = %-32d %s \n", prelabel, value, postlabel)
end if
end if
end proc
> omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> print(prelabel,"[",elemnt,"]",value, postlabel);
> fi;
> # End Function number 1
> end;
omniout_float_arr := proc(
iolevel, prelabel, elemnt, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
print(prelabel, "[", elemnt, "]", value, postlabel)
end if
end proc
> dump_series := proc(iolevel,dump_label,series_name,
> array_series,numb)
> global glob_iolevel;
> local i;
> if (glob_iolevel >= iolevel) then
> i := 1;
> while (i <= numb) do
> print(dump_label,series_name
> ,i,array_series[i]);
> i := i + 1;
> od;
> fi;
> # End Function number 1
> end;
dump_series := proc(iolevel, dump_label, series_name, array_series, numb)
local i;
global glob_iolevel;
if iolevel <= glob_iolevel then
i := 1;
while i <= numb do
print(dump_label, series_name, i, array_series[i]); i := i + 1
end do
end if
end proc
> dump_series_2 := proc(iolevel,dump_label,series_name2,
> array_series2,numb,subnum,array_x)
> global glob_iolevel;
> local i,sub,ts_term;
> if (glob_iolevel >= iolevel) then
> sub := 1;
> while (sub <= subnum) do
> i := 1;
> while (i <= numb) do
> print(dump_label,series_name2,sub,i,array_series2[sub,i]);
> od;
> sub := sub + 1;
> od;
> fi;
> # End Function number 1
> end;
dump_series_2 := proc(
iolevel, dump_label, series_name2, array_series2, numb, subnum, array_x)
local i, sub, ts_term;
global glob_iolevel;
if iolevel <= glob_iolevel then
sub := 1;
while sub <= subnum do
i := 1;
while i <= numb do print(dump_label, series_name2, sub, i,
array_series2[sub, i])
end do;
sub := sub + 1
end do
end if
end proc
> cs_info := proc(iolevel,str)
> global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h;
> if (glob_iolevel >= iolevel) then
> print("cs_info " , str , " glob_correct_start_flag = " , glob_correct_start_flag , "glob_h := " , glob_h , "glob_reached_optimal_h := " , glob_reached_optimal_h)
> fi;
> # End Function number 1
> end;
cs_info := proc(iolevel, str)
global
glob_iolevel, glob_correct_start_flag, glob_h, glob_reached_optimal_h;
if iolevel <= glob_iolevel then print("cs_info ", str,
" glob_correct_start_flag = ", glob_correct_start_flag,
"glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h)
end if
end proc
> # Begin Function number 2
> logitem_time := proc(fd,secs_in)
> global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century;
> local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int;
> secs := (secs_in);
> if (secs > 0.0) then # if number 1
> sec_in_millinium := convfloat(sec_in_min * min_in_hour * hours_in_day * days_in_year * years_in_century * centuries_in_millinium);
> milliniums := convfloat(secs / sec_in_millinium);
> millinium_int := floor(milliniums);
> centuries := (milliniums - millinium_int)*centuries_in_millinium;
> cent_int := floor(centuries);
> years := (centuries - cent_int) * years_in_century;
> years_int := floor(years);
> days := (years - years_int) * days_in_year;
> days_int := floor(days);
> hours := (days - days_int) * hours_in_day;
> hours_int := floor(hours);
> minutes := (hours - hours_int) * min_in_hour;
> minutes_int := floor(minutes);
> seconds := (minutes - minutes_int) * sec_in_min;
> sec_int := floor(seconds);
> fprintf(fd,"
");
> if (millinium_int > 0) then # if number 2
> fprintf(fd,"%d Millinia %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",millinium_int,cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (cent_int > 0) then # if number 3
> fprintf(fd,"%d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (years_int > 0) then # if number 4
> fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int);
> elif (days_int > 0) then # if number 5
> fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int);
> elif (hours_int > 0) then # if number 6
> fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int);
> elif (minutes_int > 0) then # if number 7
> fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int);
> else
> fprintf(fd,"%d Seconds",sec_int);
> fi;# end if 7
> else
> fprintf(fd,"Unknown");
> fi;# end if 6
> fprintf(fd," | ");
> # End Function number 2
> end;
logitem_time := proc(fd, secs_in)
local cent_int, centuries, days, days_int, hours, hours_int, millinium_int,
milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs,
years, years_int;
global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour,
sec_in_min, years_in_century;
secs := secs_in;
if 0. < secs then
sec_in_millinium := convfloat(sec_in_min*min_in_hour*hours_in_day*
days_in_year*years_in_century*centuries_in_millinium);
milliniums := convfloat(secs/sec_in_millinium);
millinium_int := floor(milliniums);
centuries := (milliniums - millinium_int)*centuries_in_millinium;
cent_int := floor(centuries);
years := (centuries - cent_int)*years_in_century;
years_int := floor(years);
days := (years - years_int)*days_in_year;
days_int := floor(days);
hours := (days - days_int)*hours_in_day;
hours_int := floor(hours);
minutes := (hours - hours_int)*min_in_hour;
minutes_int := floor(minutes);
seconds := (minutes - minutes_int)*sec_in_min;
sec_int := floor(seconds);
fprintf(fd, "");
if 0 < millinium_int then fprintf(fd, "%d Millinia %d Centuries %\
d Years %d Days %d Hours %d Minutes %d Seconds", millinium_int,
cent_int, years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < cent_int then fprintf(fd,
"%d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",
cent_int, years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < years_int then fprintf(fd,
"%d Years %d Days %d Hours %d Minutes %d Seconds", years_int,
days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then fprintf(fd,
"%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int,
minutes_int, sec_int)
elif 0 < hours_int then fprintf(fd,
"%d Hours %d Minutes %d Seconds", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int)
else fprintf(fd, "%d Seconds", sec_int)
end if
else fprintf(fd, "Unknown")
end if;
fprintf(fd, " | ")
end proc
> omniout_timestr := proc (secs_in)
> global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century;
> local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int;
> secs := convfloat(secs_in);
> if (secs > 0.0) then # if number 6
> sec_in_millinium := convfloat(sec_in_min * min_in_hour * hours_in_day * days_in_year * years_in_century * centuries_in_millinium);
> milliniums := convfloat(secs / sec_in_millinium);
> millinium_int := floor(milliniums);
> centuries := (milliniums - millinium_int)*centuries_in_millinium;
> cent_int := floor(centuries);
> years := (centuries - cent_int) * years_in_century;
> years_int := floor(years);
> days := (years - years_int) * days_in_year;
> days_int := floor(days);
> hours := (days - days_int) * hours_in_day;
> hours_int := floor(hours);
> minutes := (hours - hours_int) * min_in_hour;
> minutes_int := floor(minutes);
> seconds := (minutes - minutes_int) * sec_in_min;
> sec_int := floor(seconds);
>
> if (millinium_int > 0) then # if number 7
> printf(" = %d Millinia %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds\n",millinium_int,cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (cent_int > 0) then # if number 8
> printf(" = %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds\n",cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (years_int > 0) then # if number 9
> printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int);
> elif (days_int > 0) then # if number 10
> printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int);
> elif (hours_int > 0) then # if number 11
> printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int);
> elif (minutes_int > 0) then # if number 12
> printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int);
> else
> printf(" = %d Seconds\n",sec_int);
> fi;# end if 12
> else
> printf(" Unknown\n");
> fi;# end if 11
> # End Function number 2
> end;
omniout_timestr := proc(secs_in)
local cent_int, centuries, days, days_int, hours, hours_int, millinium_int,
milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs,
years, years_int;
global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour,
sec_in_min, years_in_century;
secs := convfloat(secs_in);
if 0. < secs then
sec_in_millinium := convfloat(sec_in_min*min_in_hour*hours_in_day*
days_in_year*years_in_century*centuries_in_millinium);
milliniums := convfloat(secs/sec_in_millinium);
millinium_int := floor(milliniums);
centuries := (milliniums - millinium_int)*centuries_in_millinium;
cent_int := floor(centuries);
years := (centuries - cent_int)*years_in_century;
years_int := floor(years);
days := (years - years_int)*days_in_year;
days_int := floor(days);
hours := (days - days_int)*hours_in_day;
hours_int := floor(hours);
minutes := (hours - hours_int)*min_in_hour;
minutes_int := floor(minutes);
seconds := (minutes - minutes_int)*sec_in_min;
sec_int := floor(seconds);
if 0 < millinium_int then printf(" = %d Millinia %d Centuries %d\
Years %d Days %d Hours %d Minutes %d Seconds\n", millinium_int,
cent_int, years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < cent_int then printf(" = %d Centuries %d Years %d Days \
%d Hours %d Minutes %d Seconds\n", cent_int, years_int,
days_int, hours_int, minutes_int, sec_int)
elif 0 < years_int then printf(
" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",
years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then printf(
" = %d Days %d Hours %d Minutes %d Seconds\n", days_int,
hours_int, minutes_int, sec_int)
elif 0 < hours_int then printf(
" = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int)
else printf(" = %d Seconds\n", sec_int)
end if
else printf(" Unknown\n")
end if
end proc
>
> # Begin Function number 3
> ats := proc(
> mmm_ats,array_a,array_b,jjj_ats)
> local iii_ats, lll_ats,ma_ats, ret_ats;
> ret_ats := 0.0;
> if (jjj_ats <= mmm_ats) then # if number 11
> ma_ats := mmm_ats + 1;
> iii_ats := jjj_ats;
> while (iii_ats <= mmm_ats) do # do number 1
> lll_ats := ma_ats - iii_ats;
> ret_ats := ret_ats + array_a[iii_ats]*array_b[lll_ats];
> iii_ats := iii_ats + 1;
> od;# end do number 1
> fi;# end if 11
> ;
> ret_ats
> # End Function number 3
> end;
ats := proc(mmm_ats, array_a, array_b, jjj_ats)
local iii_ats, lll_ats, ma_ats, ret_ats;
ret_ats := 0.;
if jjj_ats <= mmm_ats then
ma_ats := mmm_ats + 1;
iii_ats := jjj_ats;
while iii_ats <= mmm_ats do
lll_ats := ma_ats - iii_ats;
ret_ats := ret_ats + array_a[iii_ats]*array_b[lll_ats];
iii_ats := iii_ats + 1
end do
end if;
ret_ats
end proc
>
> # Begin Function number 4
> att := proc(
> mmm_att,array_aa,array_bb,jjj_att)
> global glob_max_terms;
> local al_att, iii_att,lll_att, ma_att, ret_att;
> ret_att := 0.0;
> if (jjj_att <= mmm_att) then # if number 11
> ma_att := mmm_att + 2;
> iii_att := jjj_att;
> while (iii_att <= mmm_att) do # do number 1
> lll_att := ma_att - iii_att;
> al_att := (lll_att - 1);
> if (lll_att <= glob_max_terms) then # if number 12
> ret_att := ret_att + array_aa[iii_att]*array_bb[lll_att]* convfp(al_att);
> fi;# end if 12
> ;
> iii_att := iii_att + 1;
> od;# end do number 1
> ;
> ret_att := ret_att / convfp(mmm_att) ;
> fi;# end if 11
> ;
> ret_att;
> # End Function number 4
> end;
att := proc(mmm_att, array_aa, array_bb, jjj_att)
local al_att, iii_att, lll_att, ma_att, ret_att;
global glob_max_terms;
ret_att := 0.;
if jjj_att <= mmm_att then
ma_att := mmm_att + 2;
iii_att := jjj_att;
while iii_att <= mmm_att do
lll_att := ma_att - iii_att;
al_att := lll_att - 1;
if lll_att <= glob_max_terms then ret_att := ret_att
+ array_aa[iii_att]*array_bb[lll_att]*convfp(al_att)
end if;
iii_att := iii_att + 1
end do;
ret_att := ret_att/convfp(mmm_att)
end if;
ret_att
end proc
> # Begin Function number 5
> display_pole := proc()
> global ALWAYS,glob_display_flag, glob_large_float, array_pole;
> if ((array_pole[1] <> glob_large_float) and (array_pole[1] > 0.0) and (array_pole[2] <> glob_large_float) and (array_pole[2]> 0.0) and glob_display_flag) then # if number 11
> omniout_float(ALWAYS,"Radius of convergence ",4, array_pole[1],4," ");
> omniout_float(ALWAYS,"Order of pole ",4, array_pole[2],4," ");
> fi;# end if 11
> # End Function number 5
> end;
display_pole := proc()
global ALWAYS, glob_display_flag, glob_large_float, array_pole;
if array_pole[1] <> glob_large_float and 0. < array_pole[1] and
array_pole[2] <> glob_large_float and 0. < array_pole[2] and
glob_display_flag then
omniout_float(ALWAYS, "Radius of convergence ", 4,
array_pole[1], 4, " ");
omniout_float(ALWAYS, "Order of pole ", 4,
array_pole[2], 4, " ")
end if
end proc
> # Begin Function number 6
> logditto := proc(file)
> fprintf(file,"");
> fprintf(file,"ditto");
> fprintf(file," | ");
> # End Function number 6
> end;
logditto := proc(file)
fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, " | ")
end proc
> # Begin Function number 7
> logitem_integer := proc(file,n)
> fprintf(file,"");
> fprintf(file,"%d",n);
> fprintf(file," | ");
> # End Function number 7
> end;
logitem_integer := proc(file, n)
fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, " | ")
end proc
> # Begin Function number 8
> logitem_str := proc(file,str)
> fprintf(file,"");
> fprintf(file,str);
> fprintf(file," | ");
> # End Function number 8
> end;
logitem_str := proc(file, str)
fprintf(file, ""); fprintf(file, str); fprintf(file, " | ")
end proc
> # Begin Function number 9
> log_revs := proc(file,revs)
> fprintf(file,revs);
> # End Function number 9
> end;
log_revs := proc(file, revs) fprintf(file, revs) end proc
> # Begin Function number 10
> logitem_float := proc(file,x)
> fprintf(file,"");
> fprintf(file,"%g",x);
> fprintf(file," | ");
> # End Function number 10
> end;
logitem_float := proc(file, x)
fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, " | ")
end proc
> # Begin Function number 11
> logitem_pole := proc(file,pole)
> fprintf(file,"");
> if pole = 0 then # if number 11
> fprintf(file,"NA");
> elif pole = 1 then # if number 12
> fprintf(file,"Real");
> elif pole = 2 then # if number 13
> fprintf(file,"Complex");
> else
> fprintf(file,"No Pole");
> fi;# end if 13
> fprintf(file," | ");
> # End Function number 11
> end;
logitem_pole := proc(file, pole)
fprintf(file, "");
if pole = 0 then fprintf(file, "NA")
elif pole = 1 then fprintf(file, "Real")
elif pole = 2 then fprintf(file, "Complex")
else fprintf(file, "No Pole")
end if;
fprintf(file, " | ")
end proc
> # Begin Function number 12
> logstart := proc(file)
> fprintf(file,"");
> # End Function number 12
> end;
logstart := proc(file) fprintf(file, "
") end proc
> # Begin Function number 13
> logend := proc(file)
> fprintf(file,"
\n");
> # End Function number 13
> end;
logend := proc(file) fprintf(file, "\n") end proc
> # Begin Function number 14
> chk_data := proc()
> global glob_max_iter,ALWAYS, glob_max_terms;
> local errflag;
> errflag := false;
>
> if ((glob_max_terms < 15) or (glob_max_terms > 512)) then # if number 13
> omniout_str(ALWAYS,"Illegal max_terms = -- Using 30");
> glob_max_terms := 30;
> fi;# end if 13
> ;
> if (glob_max_iter < 2) then # if number 13
> omniout_str(ALWAYS,"Illegal max_iter");
> errflag := true;
> fi;# end if 13
> ;
> if (errflag) then # if number 13
>
> quit;
> fi;# end if 13
> # End Function number 14
> end;
chk_data := proc()
local errflag;
global glob_max_iter, ALWAYS, glob_max_terms;
errflag := false;
if glob_max_terms < 15 or 512 < glob_max_terms then
omniout_str(ALWAYS, "Illegal max_terms = -- Using 30");
glob_max_terms := 30
end if;
if glob_max_iter < 2 then
omniout_str(ALWAYS, "Illegal max_iter"); errflag := true
end if;
if errflag then quit end if
end proc
>
> # Begin Function number 15
> comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec)
> global glob_small_float;
> local ms2, rrr, sec_left, sub1, sub2;
> ;
> ms2 := clock_sec;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub1 = 0.0) then # if number 13
> sec_left := 0.0;
> else
> if (abs(sub2) > 0.0) then # if number 14
> rrr := (sub1/sub2);
> sec_left := rrr * ms2 - ms2;
> else
> sec_left := 0.0;
> fi;# end if 14
> fi;# end if 13
> ;
> sec_left;
> # End Function number 15
> end;
comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec)
local ms2, rrr, sec_left, sub1, sub2;
global glob_small_float;
ms2 := clock_sec;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if sub1 = 0. then sec_left := 0.
else
if 0. < abs(sub2) then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2
else sec_left := 0.
end if
end if;
sec_left
end proc
>
> # Begin Function number 16
> comp_percent := proc(t_end2,t_start2,t2)
> global glob_small_float;
> local rrr, sub1, sub2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (abs(sub2) > glob_small_float) then # if number 13
> rrr := (100.0*sub2)/sub1;
> else
> rrr := 0.0;
> fi;# end if 13
> ;
> rrr
> # End Function number 16
> end;
comp_percent := proc(t_end2, t_start2, t2)
local rrr, sub1, sub2;
global glob_small_float;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if glob_small_float < abs(sub2) then rrr := 100.0*sub2/sub1
else rrr := 0.
end if;
rrr
end proc
>
> # Begin Function number 17
> factorial_1 := proc(nnn)
> nnn!;
>
> # End Function number 17
> end;
factorial_1 := proc(nnn) nnn! end proc
>
> # Begin Function number 18
> factorial_3 := proc(mmm2,nnn2)
> (mmm2!)/(nnn2!);
>
> # End Function number 18
> end;
factorial_3 := proc(mmm2, nnn2) mmm2!/nnn2! end proc
> # Begin Function number 19
> convfp := proc(mmm)
> (mmm);
>
> # End Function number 19
> end;
convfp := proc(mmm) mmm end proc
> # Begin Function number 20
> convfloat := proc(mmm)
> (mmm);
>
> # End Function number 20
> end;
convfloat := proc(mmm) mmm end proc
> elapsed_time_seconds := proc()
> time();
> end;
elapsed_time_seconds := proc() time() end proc
>
>
>
> #END ATS LIBRARY BLOCK
> #BEGIN USER DEF BLOCK
> #BEGIN USER DEF BLOCK
> exact_soln_y := proc(x)
> arctan(x);
> end;
exact_soln_y := proc(x) arctan(x) end proc
>
>
> #END USER DEF BLOCK
> #END USER DEF BLOCK
> #END OUTFILE5
> # Begin Function number 2
> mainprog := proc()
> #BEGIN OUTFIEMAIN
> local d1,d2,d3,d4,est_err_2,niii,done_once,
> term,ord,order_diff,term_no,html_log_file,
> rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter,
> x_start,x_end
> ,it, log10norm, max_terms, opt_iter, tmp;
> #Top Generate Globals Definition
> #Bottom Generate Globals Deninition
> global
> glob_iolevel,
> INFO,
> DEBUGMASSIVE,
> glob_max_terms,
> ALWAYS,
> DEBUGL,
> #Top Generate Globals Decl
> glob_current_iter,
> glob_hmin_init,
> years_in_century,
> hours_in_day,
> glob_display_flag,
> glob_max_trunc_err,
> glob_initial_pass,
> glob_almost_1,
> glob_curr_iter_when_opt,
> glob_max_sec,
> glob_optimal_start,
> glob_dump_analytic,
> glob_not_yet_finished,
> djd_debug,
> glob_optimal_expect_sec,
> glob_warned,
> glob_optimal_clock_start_sec,
> glob_reached_optimal_h,
> centuries_in_millinium,
> glob_warned2,
> glob_disp_incr,
> glob_clock_sec,
> glob_log10normmin,
> glob_iter,
> glob_no_eqs,
> min_in_hour,
> glob_subiter_method,
> glob_normmax,
> glob_start,
> glob_orig_start_sec,
> glob_max_hours,
> glob_large_float,
> glob_hmin,
> days_in_year,
> djd_debug2,
> glob_smallish_float,
> glob_small_float,
> glob_max_iter,
> glob_look_poles,
> glob_h,
> glob_dump,
> glob_max_minutes,
> glob_log10abserr,
> glob_abserr,
> glob_log10_abserr,
> glob_optimal_done,
> glob_clock_start_sec,
> glob_max_opt_iter,
> glob_percent_done,
> glob_unchanged_h_cnt,
> glob_max_rel_trunc_err,
> glob_hmax,
> glob_not_yet_start_msg,
> sec_in_min,
> glob_log10relerr,
> MAX_UNCHANGED,
> glob_relerr,
> glob_log10_relerr,
> glob_last_good_h,
> glob_html_log,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1D0,
> array_const_1,
> array_const_0D0,
> #END CONST
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_y_init,
> array_1st_rel_error,
> array_y,
> array_x,
> array_m1,
> array_last_rel_error,
> array_pole,
> array_norms,
> array_type_pole,
> array_y_higher_work2,
> array_real_pole,
> array_y_higher,
> array_y_set_initial,
> array_y_higher_work,
> array_complex_pole,
> array_poles,
> glob_last;
> glob_last;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> glob_iolevel := INFO;
> glob_iolevel := 5;
> INFO := 2;
> DEBUGMASSIVE := 4;
> glob_max_terms := 30;
> ALWAYS := 1;
> DEBUGL := 3;
> glob_current_iter := 0;
> glob_hmin_init := 0.001;
> years_in_century := 100.0;
> hours_in_day := 24.0;
> glob_display_flag := true;
> glob_max_trunc_err := 0.1e-10;
> glob_initial_pass := true;
> glob_almost_1 := 0.9990;
> glob_curr_iter_when_opt := 0;
> glob_max_sec := 10000.0;
> glob_optimal_start := 0.0;
> glob_dump_analytic := false;
> glob_not_yet_finished := true;
> djd_debug := true;
> glob_optimal_expect_sec := 0.1;
> glob_warned := false;
> glob_optimal_clock_start_sec := 0.0;
> glob_reached_optimal_h := false;
> centuries_in_millinium := 10.0;
> glob_warned2 := false;
> glob_disp_incr := 0.1;
> glob_clock_sec := 0.0;
> glob_log10normmin := 0.1;
> glob_iter := 0;
> glob_no_eqs := 0;
> min_in_hour := 60.0;
> glob_subiter_method := 3;
> glob_normmax := 0.0;
> glob_start := 0;
> glob_orig_start_sec := 0.0;
> glob_max_hours := 0.0;
> glob_large_float := 9.0e100;
> glob_hmin := 0.00000000001;
> days_in_year := 365.0;
> djd_debug2 := true;
> glob_smallish_float := 0.1e-100;
> glob_small_float := 0.1e-50;
> glob_max_iter := 1000;
> glob_look_poles := false;
> glob_h := 0.1;
> glob_dump := false;
> glob_max_minutes := 0.0;
> glob_log10abserr := 0.0;
> glob_abserr := 0.1e-10;
> glob_log10_abserr := 0.1e-10;
> glob_optimal_done := false;
> glob_clock_start_sec := 0.0;
> glob_max_opt_iter := 10;
> glob_percent_done := 0.0;
> glob_unchanged_h_cnt := 0;
> glob_max_rel_trunc_err := 0.1e-10;
> glob_hmax := 1.0;
> glob_not_yet_start_msg := true;
> sec_in_min := 60.0;
> glob_log10relerr := 0.0;
> MAX_UNCHANGED := 10;
> glob_relerr := 0.1e-10;
> glob_log10_relerr := 0.1e-10;
> glob_last_good_h := 0.1;
> glob_html_log := true;
> #Write Set Defaults
> glob_orig_start_sec := elapsed_time_seconds();
> MAX_UNCHANGED := 10;
> glob_curr_iter_when_opt := 0;
> glob_display_flag := true;
> glob_no_eqs := 1;
> glob_iter := -1;
> opt_iter := -1;
> glob_max_iter := 50000;
> glob_max_hours := 0.0;
> glob_max_minutes := 15.0;
> omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################");
> omniout_str(ALWAYS,"##############temp/sing2postode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = 1.0/ (x * x + 1.0) ;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"Digits := 32;");
> omniout_str(ALWAYS,"max_terms := 30;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#END FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"x_start := -2.0;");
> omniout_str(ALWAYS,"x_end := 1.0;");
> omniout_str(ALWAYS,"glob_h := 0.00001;");
> omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_adjust_h := false;");
> omniout_str(ALWAYS,"glob_max_iter := 100;");
> omniout_str(ALWAYS,"#END SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK");
> omniout_str(ALWAYS,"glob_h := 0.001 ;");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 1000;");
> omniout_str(ALWAYS,"glob_max_minutes := 15;");
> omniout_str(ALWAYS,"#END OVERRIDE BLOCK");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK");
> omniout_str(ALWAYS,"exact_soln_y := proc(x)");
> omniout_str(ALWAYS,"arctan(x);");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"");
> omniout_str(ALWAYS,"");
> omniout_str(ALWAYS,"#END USER DEF BLOCK");
> omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################");
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_small_float := 1.0e-200;
> glob_smallish_float := 1.0e-64;
> glob_large_float := 1.0e100;
> glob_almost_1 := 0.99;
> glob_log10_abserr := -8.0;
> glob_log10_relerr := -8.0;
> glob_hmax := 0.01;
> #BEGIN FIRST INPUT BLOCK
> #BEGIN FIRST INPUT BLOCK
> Digits := 32;
> max_terms := 30;
> #END FIRST INPUT BLOCK
> #START OF INITS AFTER INPUT BLOCK
> glob_max_terms := max_terms;
> glob_html_log := true;
> #END OF INITS AFTER INPUT BLOCK
> array_tmp0:= Array(1..(max_terms + 1),[]);
> array_tmp1:= Array(1..(max_terms + 1),[]);
> array_tmp2:= Array(1..(max_terms + 1),[]);
> array_tmp3:= Array(1..(max_terms + 1),[]);
> array_tmp4:= Array(1..(max_terms + 1),[]);
> array_y_init:= Array(1..(max_terms + 1),[]);
> array_1st_rel_error:= Array(1..(max_terms + 1),[]);
> array_y:= Array(1..(max_terms + 1),[]);
> array_x:= Array(1..(max_terms + 1),[]);
> array_m1:= Array(1..(max_terms + 1),[]);
> array_last_rel_error:= Array(1..(max_terms + 1),[]);
> array_pole:= Array(1..(max_terms + 1),[]);
> array_norms:= Array(1..(max_terms + 1),[]);
> array_type_pole:= Array(1..(max_terms + 1),[]);
> array_y_higher_work2 := Array(1..(2+ 1) ,(1..max_terms+ 1),[]);
> array_real_pole := Array(1..(1+ 1) ,(1..3+ 1),[]);
> array_y_higher := Array(1..(2+ 1) ,(1..max_terms+ 1),[]);
> array_y_set_initial := Array(1..(2+ 1) ,(1..max_terms+ 1),[]);
> array_y_higher_work := Array(1..(2+ 1) ,(1..max_terms+ 1),[]);
> array_complex_pole := Array(1..(1+ 1) ,(1..3+ 1),[]);
> array_poles := Array(1..(1+ 1) ,(1..3+ 1),[]);
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_y_init[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_1st_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_last_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_pole[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_type_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=2 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_y_higher_work2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=1 do # do number 2
> term := 1;
> while term <= 3 do # do number 3
> array_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[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=2 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_y_set_initial[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=2 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_y_higher_work[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=1 do # do number 2
> term := 1;
> while term <= 3 do # do number 3
> array_complex_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=1 do # do number 2
> term := 1;
> while term <= 3 do # do number 3
> array_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> #BEGIN ARRAYS DEFINED AND INITIALIZATED
> array_tmp4 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_x := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_y := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_const_1D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_const_1D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_const_1D0[1] := 1.0;
> array_const_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 := -2.0;
> x_end := 1.0;
> glob_h := 0.00001;
> array_y_init[0 + 1] := exact_soln_y(x_start);
> glob_look_poles := true;
> glob_adjust_h := false;
> glob_max_iter := 100;
> #END SECOND INPUT BLOCK
> #BEGIN OVERRIDE BLOCK
> glob_h := 0.001 ;
> glob_look_poles := true;
> glob_max_iter := 1000;
> glob_max_minutes := 15;
> #END OVERRIDE BLOCK
> #END SECOND INPUT BLOCK
> #BEGIN INITS AFTER SECOND INPUT BLOCK
> glob_last_good_h := glob_h;
> glob_max_terms := max_terms;
> glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours);
> glob_abserr := 10.0 ^ (glob_log10_abserr);
> glob_relerr := 10.0 ^ (glob_log10_relerr);
> chk_data();
> #AFTER INITS AFTER SECOND INPUT BLOCK
> array_y_set_initial[1,1] := true;
> array_y_set_initial[1,2] := false;
> array_y_set_initial[1,3] := false;
> array_y_set_initial[1,4] := false;
> array_y_set_initial[1,5] := false;
> array_y_set_initial[1,6] := false;
> array_y_set_initial[1,7] := false;
> array_y_set_initial[1,8] := false;
> array_y_set_initial[1,9] := false;
> array_y_set_initial[1,10] := false;
> array_y_set_initial[1,11] := false;
> array_y_set_initial[1,12] := false;
> array_y_set_initial[1,13] := false;
> array_y_set_initial[1,14] := false;
> array_y_set_initial[1,15] := false;
> array_y_set_initial[1,16] := false;
> array_y_set_initial[1,17] := false;
> array_y_set_initial[1,18] := false;
> array_y_set_initial[1,19] := false;
> array_y_set_initial[1,20] := false;
> array_y_set_initial[1,21] := false;
> array_y_set_initial[1,22] := false;
> array_y_set_initial[1,23] := false;
> array_y_set_initial[1,24] := false;
> array_y_set_initial[1,25] := false;
> array_y_set_initial[1,26] := false;
> array_y_set_initial[1,27] := false;
> array_y_set_initial[1,28] := false;
> array_y_set_initial[1,29] := false;
> array_y_set_initial[1,30] := false;
> if glob_html_log then # if number 2
> html_log_file := fopen("html/entry.html",WRITE,TEXT);
> fi;# end if 2
> ;
> #BEGIN SOLUTION CODE
> omniout_str(ALWAYS,"START of Soultion");
> #Start Series -- INITIALIZE FOR SOLUTION
> array_x[1] := x_start;
> array_x[2] := glob_h;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 2
> array_y[term_no] := array_y_init[term_no] * glob_h ^ (term_no - 1) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 2
> ;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 2
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 3
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* (glob_h ^ (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 3
> ;
> r_order := r_order + 1;
> od;# end do number 2
> ;
> current_iter := 1;
> glob_clock_start_sec := elapsed_time_seconds();
> start_array_y();
> if (abs(array_y_higher[1,1]) > glob_small_float) then # if number 2
> tmp := abs(array_y_higher[1,1]);
> log10norm := (log10(tmp));
> if (log10norm < glob_log10normmin) then # if number 3
> glob_log10normmin := log10norm;
> fi;# end if 3
> fi;# end if 2
> ;
> display_alot(current_iter)
> ;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := 0;
> glob_iter := 0;
> omniout_str(DEBUGL," ");
> glob_reached_optimal_h := true;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> while ((glob_current_iter < glob_max_iter) and (array_x[1] <= x_end ) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2
> #left paren 0001C
> omniout_str(INFO," ");
> omniout_str(INFO,"TOP MAIN SOLVE Loop");
> glob_iter := glob_iter + 1;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := glob_current_iter + 1;
> atomall();
> if (glob_look_poles) then # if number 2
> #left paren 0004C
> check_for_pole();
> fi;# end if 2
> ;#was right paren 0004C
> array_x[1] := array_x[1] + glob_h;
> array_x[2] := glob_h;
> #Jump Series array_y
> order_diff := 1;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =1
> #sum_and_adjust array_y
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[2,iii] := array_y_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 2;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 2;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 2;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #END SUM AND ADJUST EQ =1
> #END PART 1
> #START PART 2 MOVE TERMS to REGULAR Array
> term_no := glob_max_terms;
> while (term_no >= 1) do # do number 3
> array_y[term_no] := array_y_higher_work2[1,term_no];
> ord := 1;
> while ord <= order_diff do # do number 4
> array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no];
> ord := ord + 1;
> od;# end do number 4
> ;
> term_no := term_no - 1;
> od;# end do number 3
> ;
> #END PART 2 HEVE MOVED TERMS to REGULAR Array
> display_alot(current_iter)
> ;
> od;# end do number 2
> ;#right paren 0001C
> omniout_str(ALWAYS,"Finished!");
> if (glob_iter >= glob_max_iter) then # if number 2
> omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!")
> fi;# end if 2
> ;
> if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 2
> omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!")
> fi;# end if 2
> ;
> glob_clock_sec := elapsed_time_seconds();
> omniout_str(INFO,"diff ( y , x , 1 ) = 1.0/ (x * x + 1.0) ;");
> omniout_int(INFO,"Iterations ",32,glob_iter,4," ")
> ;
> prog_report(x_start,x_end);
> if glob_html_log then # if number 2
> logstart(html_log_file);
> logitem_str(html_log_file,"2012-06-16T00:24:43-05:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"sing2")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = 1.0/ (x * x + 1.0) ;")
> ;
> logitem_float(html_log_file,x_start)
> ;
> logitem_float(html_log_file,x_end)
> ;
> logitem_float(html_log_file,array_x[1])
> ;
> logitem_float(html_log_file,glob_h)
> ;
> logitem_integer(html_log_file,Digits)
> ;
> ;
> logitem_integer(html_log_file,glob_max_terms)
> ;
> logitem_float(html_log_file,array_1st_rel_error[1])
> ;
> logitem_float(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_iter)
> ;
> logitem_pole(html_log_file,array_type_pole[1])
> ;
> if array_type_pole[1] = 1 or array_type_pole[1] = 2 then # if number 3
> logitem_float(html_log_file,array_pole[1])
> ;
> logitem_float(html_log_file,array_pole[2])
> ;
> 0;
> else
> logitem_str(html_log_file,"NA")
> ;
> logitem_str(html_log_file,"NA")
> ;
> 0;
> fi;# end if 3
> ;
> logitem_time(html_log_file,convfloat(glob_clock_sec))
> ;
> if glob_percent_done < 100.0 then # if number 3
> logitem_time(html_log_file,convfloat(glob_optimal_expect_sec))
> ;
> 0
> else
> logitem_str(html_log_file,"Done")
> ;
> 0
> fi;# end if 3
> ;
> log_revs(html_log_file," 090 | ")
> ;
> logitem_str(html_log_file,"sing2 diffeq.mxt")
> ;
> logitem_str(html_log_file,"sing2 maple results")
> ;
> logitem_str(html_log_file,"Test of revised logic - mostly affecting systems of eqs")
> ;
> logend(html_log_file)
> ;
> ;
> fi;# end if 2
> ;
> if glob_html_log then # if number 2
> fclose(html_log_file);
> fi;# end if 2
> ;
> ;;
> #END OUTFILEMAIN
> # End Function number 8
> end;
Warning, `glob_adjust_h` is implicitly declared local to procedure `mainprog`
mainprog := proc()
local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff,
term_no, html_log_file, rows, r_order, sub_iter, calc_term, iii, temp_sum,
current_iter, x_start, x_end, it, log10norm, max_terms, opt_iter, tmp,
glob_adjust_h;
global glob_iolevel, INFO, DEBUGMASSIVE, glob_max_terms, ALWAYS, DEBUGL,
glob_current_iter, glob_hmin_init, years_in_century, hours_in_day,
glob_display_flag, glob_max_trunc_err, glob_initial_pass, glob_almost_1,
glob_curr_iter_when_opt, glob_max_sec, glob_optimal_start,
glob_dump_analytic, glob_not_yet_finished, djd_debug,
glob_optimal_expect_sec, glob_warned, glob_optimal_clock_start_sec,
glob_reached_optimal_h, centuries_in_millinium, glob_warned2,
glob_disp_incr, glob_clock_sec, glob_log10normmin, glob_iter, glob_no_eqs,
min_in_hour, glob_subiter_method, glob_normmax, glob_start,
glob_orig_start_sec, glob_max_hours, glob_large_float, glob_hmin,
days_in_year, djd_debug2, glob_smallish_float, glob_small_float,
glob_max_iter, glob_look_poles, glob_h, glob_dump, glob_max_minutes,
glob_log10abserr, glob_abserr, glob_log10_abserr, glob_optimal_done,
glob_clock_start_sec, glob_max_opt_iter, glob_percent_done,
glob_unchanged_h_cnt, glob_max_rel_trunc_err, glob_hmax,
glob_not_yet_start_msg, sec_in_min, glob_log10relerr, MAX_UNCHANGED,
glob_relerr, glob_log10_relerr, glob_last_good_h, glob_html_log,
array_const_1D0, array_const_1, array_const_0D0, array_tmp0, array_tmp1,
array_tmp2, array_tmp3, array_tmp4, array_y_init, array_1st_rel_error,
array_y, array_x, array_m1, array_last_rel_error, array_pole, array_norms,
array_type_pole, array_y_higher_work2, array_real_pole, array_y_higher,
array_y_set_initial, array_y_higher_work, array_complex_pole, array_poles,
glob_last;
glob_last;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
glob_iolevel := INFO;
glob_iolevel := 5;
INFO := 2;
DEBUGMASSIVE := 4;
glob_max_terms := 30;
ALWAYS := 1;
DEBUGL := 3;
glob_current_iter := 0;
glob_hmin_init := 0.001;
years_in_century := 100.0;
hours_in_day := 24.0;
glob_display_flag := true;
glob_max_trunc_err := 0.1*10^(-10);
glob_initial_pass := true;
glob_almost_1 := 0.9990;
glob_curr_iter_when_opt := 0;
glob_max_sec := 10000.0;
glob_optimal_start := 0.;
glob_dump_analytic := false;
glob_not_yet_finished := true;
djd_debug := true;
glob_optimal_expect_sec := 0.1;
glob_warned := false;
glob_optimal_clock_start_sec := 0.;
glob_reached_optimal_h := false;
centuries_in_millinium := 10.0;
glob_warned2 := false;
glob_disp_incr := 0.1;
glob_clock_sec := 0.;
glob_log10normmin := 0.1;
glob_iter := 0;
glob_no_eqs := 0;
min_in_hour := 60.0;
glob_subiter_method := 3;
glob_normmax := 0.;
glob_start := 0;
glob_orig_start_sec := 0.;
glob_max_hours := 0.;
glob_large_float := 0.90*10^101;
glob_hmin := 0.1*10^(-10);
days_in_year := 365.0;
djd_debug2 := true;
glob_smallish_float := 0.1*10^(-100);
glob_small_float := 0.1*10^(-50);
glob_max_iter := 1000;
glob_look_poles := false;
glob_h := 0.1;
glob_dump := false;
glob_max_minutes := 0.;
glob_log10abserr := 0.;
glob_abserr := 0.1*10^(-10);
glob_log10_abserr := 0.1*10^(-10);
glob_optimal_done := false;
glob_clock_start_sec := 0.;
glob_max_opt_iter := 10;
glob_percent_done := 0.;
glob_unchanged_h_cnt := 0;
glob_max_rel_trunc_err := 0.1*10^(-10);
glob_hmax := 1.0;
glob_not_yet_start_msg := true;
sec_in_min := 60.0;
glob_log10relerr := 0.;
MAX_UNCHANGED := 10;
glob_relerr := 0.1*10^(-10);
glob_log10_relerr := 0.1*10^(-10);
glob_last_good_h := 0.1;
glob_html_log := true;
glob_orig_start_sec := elapsed_time_seconds();
MAX_UNCHANGED := 10;
glob_curr_iter_when_opt := 0;
glob_display_flag := true;
glob_no_eqs := 1;
glob_iter := -1;
opt_iter := -1;
glob_max_iter := 50000;
glob_max_hours := 0.;
glob_max_minutes := 15.0;
omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################");
omniout_str(ALWAYS,
"##############temp/sing2postode.ode#################");
omniout_str(ALWAYS, "diff ( y , x , 1 ) = 1.0/ (x * x + 1.0) ;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK");
omniout_str(ALWAYS, "Digits := 32;");
omniout_str(ALWAYS, "max_terms := 30;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#END FIRST INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK");
omniout_str(ALWAYS, "x_start := -2.0;");
omniout_str(ALWAYS, "x_end := 1.0;");
omniout_str(ALWAYS, "glob_h := 0.00001;");
omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_adjust_h := false;");
omniout_str(ALWAYS, "glob_max_iter := 100;");
omniout_str(ALWAYS, "#END SECOND INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK");
omniout_str(ALWAYS, "glob_h := 0.001 ;");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 1000;");
omniout_str(ALWAYS, "glob_max_minutes := 15;");
omniout_str(ALWAYS, "#END OVERRIDE BLOCK");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK");
omniout_str(ALWAYS, "exact_soln_y := proc(x)");
omniout_str(ALWAYS, "arctan(x);");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "");
omniout_str(ALWAYS, "");
omniout_str(ALWAYS, "#END USER DEF BLOCK");
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################");
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_small_float := 0.10*10^(-199);
glob_smallish_float := 0.10*10^(-63);
glob_large_float := 0.10*10^101;
glob_almost_1 := 0.99;
glob_log10_abserr := -8.0;
glob_log10_relerr := -8.0;
glob_hmax := 0.01;
Digits := 32;
max_terms := 30;
glob_max_terms := max_terms;
glob_html_log := true;
array_tmp0 := Array(1 .. max_terms + 1, []);
array_tmp1 := Array(1 .. max_terms + 1, []);
array_tmp2 := Array(1 .. max_terms + 1, []);
array_tmp3 := Array(1 .. max_terms + 1, []);
array_tmp4 := Array(1 .. max_terms + 1, []);
array_y_init := Array(1 .. max_terms + 1, []);
array_1st_rel_error := Array(1 .. max_terms + 1, []);
array_y := Array(1 .. max_terms + 1, []);
array_x := Array(1 .. max_terms + 1, []);
array_m1 := Array(1 .. max_terms + 1, []);
array_last_rel_error := Array(1 .. max_terms + 1, []);
array_pole := Array(1 .. max_terms + 1, []);
array_norms := Array(1 .. max_terms + 1, []);
array_type_pole := Array(1 .. max_terms + 1, []);
array_y_higher_work2 := Array(1 .. 3, 1 .. max_terms + 1, []);
array_real_pole := Array(1 .. 2, 1 .. 4, []);
array_y_higher := Array(1 .. 3, 1 .. max_terms + 1, []);
array_y_set_initial := Array(1 .. 3, 1 .. max_terms + 1, []);
array_y_higher_work := Array(1 .. 3, 1 .. max_terms + 1, []);
array_complex_pole := Array(1 .. 2, 1 .. 4, []);
array_poles := Array(1 .. 2, 1 .. 4, []);
term := 1;
while term <= max_terms do array_tmp0[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_y_init[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_1st_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_y[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_x[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_last_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_pole[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_type_pole[term] := 0.; term := term + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_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[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_complex_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do array_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
array_tmp4 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1
end do;
array_tmp3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1
end do;
array_tmp2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1
end do;
array_tmp1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1
end do;
array_tmp0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1
end do;
array_x := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1
end do;
array_y := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_y[term] := 0.; term := term + 1
end do;
array_const_1D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1D0[term] := 0.; term := term + 1
end do;
array_const_1D0[1] := 1.0;
array_const_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 := -2.0;
x_end := 1.0;
glob_h := 0.00001;
array_y_init[1] := exact_soln_y(x_start);
glob_look_poles := true;
glob_adjust_h := false;
glob_max_iter := 100;
glob_h := 0.001;
glob_look_poles := true;
glob_max_iter := 1000;
glob_max_minutes := 15;
glob_last_good_h := glob_h;
glob_max_terms := max_terms;
glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes)
+ convfloat(3600.0)*convfloat(glob_max_hours);
glob_abserr := 10.0^glob_log10_abserr;
glob_relerr := 10.0^glob_log10_relerr;
chk_data();
array_y_set_initial[1, 1] := true;
array_y_set_initial[1, 2] := false;
array_y_set_initial[1, 3] := false;
array_y_set_initial[1, 4] := false;
array_y_set_initial[1, 5] := false;
array_y_set_initial[1, 6] := false;
array_y_set_initial[1, 7] := false;
array_y_set_initial[1, 8] := false;
array_y_set_initial[1, 9] := false;
array_y_set_initial[1, 10] := false;
array_y_set_initial[1, 11] := false;
array_y_set_initial[1, 12] := false;
array_y_set_initial[1, 13] := false;
array_y_set_initial[1, 14] := false;
array_y_set_initial[1, 15] := false;
array_y_set_initial[1, 16] := false;
array_y_set_initial[1, 17] := false;
array_y_set_initial[1, 18] := false;
array_y_set_initial[1, 19] := false;
array_y_set_initial[1, 20] := false;
array_y_set_initial[1, 21] := false;
array_y_set_initial[1, 22] := false;
array_y_set_initial[1, 23] := false;
array_y_set_initial[1, 24] := false;
array_y_set_initial[1, 25] := false;
array_y_set_initial[1, 26] := false;
array_y_set_initial[1, 27] := false;
array_y_set_initial[1, 28] := false;
array_y_set_initial[1, 29] := false;
array_y_set_initial[1, 30] := false;
if glob_html_log then
html_log_file := fopen("html/entry.html", WRITE, TEXT)
end if;
omniout_str(ALWAYS, "START of Soultion");
array_x[1] := x_start;
array_x[2] := glob_h;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*glob_h^(term_no - 1)/
factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
glob_h^(term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
current_iter := 1;
glob_clock_start_sec := elapsed_time_seconds();
start_array_y();
if glob_small_float < abs(array_y_higher[1, 1]) then
tmp := abs(array_y_higher[1, 1]);
log10norm := log10(tmp);
if log10norm < glob_log10normmin then
glob_log10normmin := log10norm
end if
end if;
display_alot(current_iter);
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := 0;
glob_iter := 0;
omniout_str(DEBUGL, " ");
glob_reached_optimal_h := true;
glob_optimal_clock_start_sec := elapsed_time_seconds();
while glob_current_iter < glob_max_iter and array_x[1] <= x_end and
convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
convfloat(glob_max_sec) do
omniout_str(INFO, " ");
omniout_str(INFO, "TOP MAIN SOLVE Loop");
glob_iter := glob_iter + 1;
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := glob_current_iter + 1;
atomall();
if glob_look_poles then check_for_pole() end if;
array_x[1] := array_x[1] + glob_h;
array_x[2] := glob_h;
order_diff := 1;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[2, iii] := array_y_higher[2, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
term_no := glob_max_terms;
while 1 <= term_no do
array_y[term_no] := array_y_higher_work2[1, term_no];
ord := 1;
while ord <= order_diff do
array_y_higher[ord, term_no] :=
array_y_higher_work2[ord, term_no];
ord := ord + 1
end do;
term_no := term_no - 1
end do;
display_alot(current_iter)
end do;
omniout_str(ALWAYS, "Finished!");
if glob_max_iter <= glob_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!")
end if;
if convfloat(glob_max_sec) <=
elapsed_time_seconds() - convfloat(glob_orig_start_sec) then
omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!")
end if;
glob_clock_sec := elapsed_time_seconds();
omniout_str(INFO, "diff ( y , x , 1 ) = 1.0/ (x * x + 1.0) ;");
omniout_int(INFO, "Iterations ", 32, glob_iter, 4,
" ");
prog_report(x_start, x_end);
if glob_html_log then
logstart(html_log_file);
logitem_str(html_log_file, "2012-06-16T00:24:43-05:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file, "sing2");
logitem_str(html_log_file,
"diff ( y , x , 1 ) = 1.0/ (x * x + 1.0) ;");
logitem_float(html_log_file, x_start);
logitem_float(html_log_file, x_end);
logitem_float(html_log_file, array_x[1]);
logitem_float(html_log_file, glob_h);
logitem_integer(html_log_file, Digits);
logitem_integer(html_log_file, glob_max_terms);
logitem_float(html_log_file, array_1st_rel_error[1]);
logitem_float(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_iter);
logitem_pole(html_log_file, array_type_pole[1]);
if array_type_pole[1] = 1 or array_type_pole[1] = 2 then
logitem_float(html_log_file, array_pole[1]);
logitem_float(html_log_file, array_pole[2]);
0
else
logitem_str(html_log_file, "NA");
logitem_str(html_log_file, "NA");
0
end if;
logitem_time(html_log_file, convfloat(glob_clock_sec));
if glob_percent_done < 100.0 then
logitem_time(html_log_file, convfloat(glob_optimal_expect_sec))
;
0
else logitem_str(html_log_file, "Done"); 0
end if;
log_revs(html_log_file, " 090 | ");
logitem_str(html_log_file,
"sing2 diffeq.mxt");
logitem_str(html_log_file,
"sing2 maple results");
logitem_str(html_log_file,
"Test of revised logic - mostly affecting systems of eqs");
logend(html_log_file)
end if;
if glob_html_log then fclose(html_log_file) end if
end proc
> mainprog();
##############ECHO OF PROBLEM#################
##############temp/sing2postode.ode#################
diff ( y , x , 1 ) = 1.0/ (x * x + 1.0) ;
!
#BEGIN FIRST INPUT BLOCK
Digits := 32;
max_terms := 30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := -2.0;
x_end := 1.0;
glob_h := 0.00001;
array_y_init[0 + 1] := exact_soln_y(x_start);
glob_look_poles := true;
glob_adjust_h := false;
glob_max_iter := 100;
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE BLOCK
glob_h := 0.001 ;
glob_look_poles := true;
glob_max_iter := 1000;
glob_max_minutes := 15;
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
exact_soln_y := proc(x)
arctan(x);
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
x[1] = -2
y[1] (analytic) = -1.1071487177940905030170654601785
y[1] (numeric) = -1.1071487177940905030170654601785
absolute error = 0
relative error = 0 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.244
Order of pole = 2.182
x[1] = -1.999
y[1] (analytic) = -1.106948637764747567059262846648
y[1] (numeric) = -1.106948637764747567042838732132
absolute error = 1.64241145160e-20
relative error = 1.4837286894507663543620207541988e-18 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.243
Order of pole = 2.182
x[1] = -1.998
y[1] (analytic) = -1.1067483975592701523523682753958
y[1] (numeric) = -1.1067483975592701523195331853786
absolute error = 3.28350900172e-20
relative error = 2.9668070981274286338362642073798e-18 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.242
Order of pole = 2.182
x[1] = -1.997
y[1] (analytic) = -1.1065479970013122650430381404474
y[1] (numeric) = -1.1065479970013122649938054261268
absolute error = 4.92327143206e-20
relative error = 4.4492163425371610418492985393154e-18 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.241
Order of pole = 2.182
x[1] = -1.996
y[1] (analytic) = -1.1063474359142968807862186779712
y[1] (numeric) = -1.1063474359142968807206019039402
absolute error = 6.56167740310e-20
relative error = 5.9309374163075294879060761722833e-18 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.24
Order of pole = 2.182
x[1] = -1.995
y[1] (analytic) = -1.1061467141214156290212504508558
y[1] (numeric) = -1.1061467141214156289392633963217
absolute error = 8.19870545341e-20
relative error = 7.4119511894242930274267794911139e-18 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.239
Order of pole = 2.182
x[1] = -1.994
y[1] (analytic) = -1.1059458314456284769108753479934
y[1] (numeric) = -1.1059458314456284768125320080015
absolute error = 9.83433399919e-20
relative error = 8.8922384076760133309449138142672e-18 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.238
Order of pole = 2.182
x[1] = -1.993
y[1] (analytic) = -1.105744787709663412943428695263
y[1] (numeric) = -1.1057447877096634128287432819268
absolute error = 1.146854133362e-19
relative error = 1.0371779691925897748347715222315e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.238
Order of pole = 2.182
x[1] = -1.992
y[1] (analytic) = -1.1055435827360161301985035103973
y[1] (numeric) = -1.1055435827360161300674904541341
absolute error = 1.310130562632e-19
relative error = 1.1850555537482013054280515856525e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.237
Order of pole = 2.182
x[1] = -1.991
y[1] (analytic) = -1.1053422163469497092763783943778
y[1] (numeric) = -1.10534221634694970912905234515
absolute error = 1.473260492278e-19
relative error = 1.3328546313439334639034068909872e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.236
Order of pole = 2.182
x[1] = -1.99
y[1] (analytic) = -1.1051406883644943008915050378617
y[1] (numeric) = -1.1051406883644943007278808664243
absolute error = 1.636241714374e-19
relative error = 1.4805732261975495168796500206780e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.235
Order of pole = 2.182
x[1] = -1.989
y[1] (analytic) = -1.1049389986104468081303558325205
y[1] (numeric) = -1.104938998610446807950448631674
absolute error = 1.799072008465e-19
relative error = 1.6282093497717824232897726956010e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.234
Order of pole = 2.182
x[1] = -1.988
y[1] (analytic) = -1.1047371469063705683739366141761
y[1] (numeric) = -1.1047371469063705681777617000254
absolute error = 1.961749141507e-19
relative error = 1.7757610007055040154269256993205e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.233
Order of pole = 2.181
x[1] = -1.987
y[1] (analytic) = -1.1045351330735950348852741273846
y[1] (numeric) = -1.1045351330735950346728470406038
absolute error = 2.124270867808e-19
relative error = 1.9232261647456895364443504871777e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.232
Order of pole = 2.181
x[1] = -1.986
y[1] (analytic) = -1.1043329569332154580621923897538
y[1] (numeric) = -1.1043329569332154578335288968569
absolute error = 2.286634928969e-19
relative error = 2.0706028146792727299847217806878e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.231
Order of pole = 2.181
x[1] = -1.985
y[1] (analytic) = -1.1041306183060925663556967489111
y[1] (numeric) = -1.1041306183060925661108128435286
absolute error = 2.448839053825e-19
relative error = 2.2178889102648910435025902759239e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.23
Order of pole = 2.181
memory used=3.8MB, alloc=2.9MB, time=0.18
x[1] = -1.984
y[1] (analytic) = -1.103928117012852246854289065787
y[1] (numeric) = -1.1039281170128522465932009699484
absolute error = 2.610880958386e-19
relative error = 2.3650823981645205049053530009524e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.229
Order of pole = 2.181
x[1] = -1.983
y[1] (analytic) = -1.1037254528738852255345421248616
y[1] (numeric) = -1.103725452873885225257266290284
absolute error = 2.772758345776e-19
relative error = 2.5121812118731877853611007764369e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.229
Order of pole = 2.181
x[1] = -1.982
y[1] (analytic) = -1.1035226257093467471782660653698
y[1] (numeric) = -1.1035226257093467468848191747522
absolute error = 2.934468906176e-19
relative error = 2.6591832716521938062689533612190e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.228
Order of pole = 2.181
x[1] = -1.981
y[1] (analytic) = -1.1033196353391562549566043472836
y[1] (numeric) = -1.1033196353391562546470033156076
absolute error = 3.096010316760e-19
relative error = 2.8060864844558831918618024943446e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.227
Order of pole = 2.181
x[1] = -1.98
y[1] (analytic) = -1.103116481582997069681401512326
y[1] (numeric) = -1.1031164815829970693556634881624
absolute error = 3.257380241636e-19
relative error = 2.9528887438628292194220022456820e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.226
Order of pole = 2.181
x[1] = -1.979
y[1] (analytic) = -1.1029131642603160687241897734317
y[1] (numeric) = -1.1029131642603160683823321402529
absolute error = 3.418576331788e-19
relative error = 3.0995879300078128865233283763186e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.225
Order of pole = 2.181
x[1] = -1.978
y[1] (analytic) = -1.1027096831903233646031462660842
y[1] (numeric) = -1.1027096831903233642451866435831
absolute error = 3.579596225011e-19
relative error = 3.2461819095073419581722278193443e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.224
Order of pole = 2.181
x[1] = -1.977
y[1] (analytic) = -1.1025060381919919832383776219549
y[1] (numeric) = -1.1025060381919919828643338673697
absolute error = 3.740437545852e-19
relative error = 3.3926685353904926545354097900743e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.223
Order of pole = 2.181
x[1] = -1.976
y[1] (analytic) = -1.1023022290840575418758933793661
y[1] (numeric) = -1.1023022290840575414857835888113
absolute error = 3.901097905548e-19
relative error = 3.5390456470269158117835365862643e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.222
Order of pole = 2.181
x[1] = -1.975
y[1] (analytic) = -1.1020982556850179266806346264257
y[1] (numeric) = -1.1020982556850179262744771362293
absolute error = 4.061574901964e-19
relative error = 3.6853110700547256121169712143854e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.221
Order of pole = 2.181
x[1] = -1.974
y[1] (analytic) = -1.1018941178131329699989291813655
y[1] (numeric) = -1.1018941178131329695767425694121
absolute error = 4.221866119534e-19
relative error = 3.8314626163109929947644639472060e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.22
Order of pole = 2.181
x[1] = -1.973
y[1] (analytic) = -1.1016898152864241272907495507763
y[1] (numeric) = -1.101689815286424126852552637857
absolute error = 4.381969129193e-19
relative error = 3.9774980837539544491115631608616e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.22
Order of pole = 2.181
x[1] = -1.972
y[1] (analytic) = -1.1014853479226741537321548702117
y[1] (numeric) = -1.1014853479226741532779667213797
absolute error = 4.541881488320e-19
relative error = 4.1234152563950824103149970834996e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.219
Order of pole = 2.181
x[1] = -1.971
y[1] (analytic) = -1.1012807155394267804883030231387
y[1] (numeric) = -1.1012807155394267800181429490713
absolute error = 4.701600740674e-19
relative error = 4.2692119042246851360524737975573e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.218
Order of pole = 2.181
x[1] = -1.97
y[1] (analytic) = -1.1010759179539863906574241535935
y[1] (numeric) = -1.1010759179539863901713117119608
absolute error = 4.861124416327e-19
relative error = 4.4148857831346601385911432493163e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.217
Order of pole = 2.181
x[1] = -1.969
y[1] (analytic) = -1.1008709549834176948861518352737
y[1] (numeric) = -1.1008709549834176943841068321128
absolute error = 5.020450031609e-19
relative error = 4.5604346348520227046655772509575e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.216
Order of pole = 2.181
x[1] = -1.968
y[1] (analytic) = -1.1006658264445454066566132352894
y[1] (numeric) = -1.1006658264445454061386557263859
absolute error = 5.179575089035e-19
relative error = 4.7058561868559669878826371740109e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.215
Order of pole = 2.181
x[1] = -1.967
y[1] (analytic) = -1.1004605321539539172456847145512
y[1] (numeric) = -1.1004605321539539167118350068264
absolute error = 5.338497077248e-19
relative error = 4.8511481523093340150910677854912e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.214
Order of pole = 2.181
x[1] = -1.966
y[1] (analytic) = -1.1002550719279869703568244389027
y[1] (numeric) = -1.1002550719279869698071030918073
absolute error = 5.497213470954e-19
relative error = 4.9963082299826919522459475781352e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.213
Order of pole = 2.18
x[1] = -1.965
y[1] (analytic) = -1.1000494455827473364248987357562
y[1] (numeric) = -1.1000494455827473358593265626708
absolute error = 5.655721730854e-19
relative error = 5.1413341041755638948767410204896e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.212
Order of pole = 2.18
x[1] = -1.964
y[1] (analytic) = -1.0998436529340964865944241202885
y[1] (numeric) = -1.0998436529340964860130221899299
absolute error = 5.814019303586e-19
relative error = 5.2862234446466189659860117930280e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.211
Order of pole = 2.18
x[1] = -1.963
y[1] (analytic) = -1.0996376937976542663716521333248
y[1] (numeric) = -1.0996376937976542657744417711596
absolute error = 5.972103621652e-19
relative error = 5.4309739065301033591462608764565e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.211
Order of pole = 2.18
x[1] = -1.962
y[1] (analytic) = -1.0994315679887985689509293800305
y[1] (numeric) = -1.0994315679887985683379321696945
absolute error = 6.129972103360e-19
relative error = 5.5755831302657797706532958717589e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.21
Order of pole = 2.18
x[1] = -1.961
y[1] (analytic) = -1.0992252753226650082157704345585
y[1] (numeric) = -1.0992252753226650075870082192829
absolute error = 6.287622152756e-19
relative error = 5.7200487415196493055738324630557e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.209
Order of pole = 2.18
x[1] = -1.96
y[1] (analytic) = -1.0990188156141465914150865810103
y[1] (numeric) = -1.0990188156141465907705814650545
absolute error = 6.445051159558e-19
relative error = 5.8643683511063622385441289684756e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.208
Order of pole = 2.18
memory used=7.6MB, alloc=4.0MB, time=0.39
x[1] = -1.959
y[1] (analytic) = -1.0988121886778933915150186955938
y[1] (numeric) = -1.0988121886778933908547930456848
absolute error = 6.602256499090e-19
relative error = 6.0085395549114993463003914179808e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.207
Order of pole = 2.18
x[1] = -1.958
y[1] (analytic) = -1.0986053943283122192268279388266
y[1] (numeric) = -1.0986053943283122185509043856048
absolute error = 6.759235532218e-19
relative error = 6.1525599338155437767702724365673e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.206
Order of pole = 2.18
x[1] = -1.957
y[1] (analytic) = -1.0983984323795662947113033201895
y[1] (numeric) = -1.0983984323795662940197047596613
absolute error = 6.915985605282e-19
relative error = 6.2964270536140828297720055426369e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.205
Order of pole = 2.18
x[1] = -1.956
y[1] (analytic) = -1.0981913026455749189601506209025
y[1] (numeric) = -1.0981913026455749182529002158995
absolute error = 7.072504050030e-19
relative error = 6.4401384649396978491133648956035e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.204
Order of pole = 2.18
x[1] = -1.955
y[1] (analytic) = -1.0979840049400131448548326136238
y[1] (numeric) = -1.0979840049400131441319537952689
absolute error = 7.228788183549e-19
relative error = 6.5836917031809902918569004296665e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.203
Order of pole = 2.18
x[1] = -1.954
y[1] (analytic) = -1.0977765390763114479033360009882
y[1] (numeric) = -1.0977765390763114471648524701681
absolute error = 7.384835308201e-19
relative error = 6.7270842884060272832847936414970e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.202
Order of pole = 2.18
x[1] = -1.953
y[1] (analytic) = -1.0975689048676553966553460081481
y[1] (numeric) = -1.0975689048676553959012817369926
absolute error = 7.540642711555e-19
relative error = 6.8703137252820121984284713478973e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.202
Order of pole = 2.18
x[1] = -1.952
y[1] (analytic) = -1.0973611021269853227963151079938
y[1] (numeric) = -1.0973611021269853220266943413622
absolute error = 7.696207666316e-19
relative error = 7.0133775029920861855828160278417e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.201
Order of pole = 2.18
x[1] = -1.951
y[1] (analytic) = -1.0971531306669959909209179316523
y[1] (numeric) = -1.0971531306669959901357651886261
absolute error = 7.851527430262e-19
relative error = 7.1562730951592824017131774574135e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.2
Order of pole = 2.179
x[1] = -1.95
y[1] (analytic) = -1.0969449903001362679863900213251
y[1] (numeric) = -1.0969449903001362671857300967081
absolute error = 8.006599246170e-19
relative error = 7.2989979597603212466627539938224e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.199
Order of pole = 2.179
x[1] = -1.949
y[1] (analytic) = -1.0967366808386087924462537176792
y[1] (numeric) = -1.0967366808386087916301116835037
absolute error = 8.161420341755e-19
relative error = 7.4415495390511158313109102718775e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.198
Order of pole = 2.179
x[1] = -1.948
y[1] (analytic) = -1.0965282020943696430649401399777
y[1] (numeric) = -1.0965282020943696422333413470185
absolute error = 8.315987929592e-19
relative error = 7.5839252594766437938200932750913e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.197
Order of pole = 2.179
x[1] = -1.947
y[1] (analytic) = -1.0963195538791280074138219140809
y[1] (numeric) = -1.0963195538791280065667919933752
absolute error = 8.470299207057e-19
relative error = 7.7261225315980014211798114951304e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.196
Order of pole = 2.179
x[1] = -1.946
y[1] (analytic) = -1.0961107360043458500491770314935
y[1] (numeric) = -1.0961107360043458491867418958688
absolute error = 8.624351356247e-19
relative error = 7.8681387500001699178926572017978e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.195
Order of pole = 2.179
x[1] = -1.945
y[1] (analytic) = -1.095901748281237580372609981937
y[1] (numeric) = -1.0959017482812375794947958275448
absolute error = 8.778141543922e-19
relative error = 8.0099712932197048148524575130745e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.194
Order of pole = 2.179
x[1] = -1.944
y[1] (analytic) = -1.0956925905207697201744620926103
y[1] (numeric) = -1.0956925905207697192812954004681
absolute error = 8.931666921422e-19
relative error = 8.1516175236494794796776155453309e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.194
Order of pole = 2.179
x[1] = -1.943
y[1] (analytic) = -1.0954832625336605708607488295345
y[1] (numeric) = -1.0954832625336605699522563670736
absolute error = 9.084924624609e-19
relative error = 8.2930747874660936396214524691229e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.193
Order of pole = 2.179
x[1] = -1.942
y[1] (analytic) = -1.0952737641303798803641676702742
y[1] (numeric) = -1.0952737641303798794403764928953
absolute error = 9.237911773789e-19
relative error = 8.4343404145388912153306677844882e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.192
Order of pole = 2.179
x[1] = -1.941
y[1] (analytic) = -1.0950640951211485097397260430628
y[1] (numeric) = -1.0950640951211485088006634956984
absolute error = 9.390625473644e-19
relative error = 8.5754117183479581164767908429565e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.191
Order of pole = 2.179
x[1] = -1.94
y[1] (analytic) = -1.094854255315938099445544745049
y[1] (numeric) = -1.0948542553159380984912384637331
absolute error = 9.543062813159e-19
relative error = 8.7162859958974111748164642175052e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.19
Order of pole = 2.179
x[1] = -1.939
y[1] (analytic) = -1.0946442445244707353093982021949
y[1] (numeric) = -1.0946442445244707343398761156395
absolute error = 9.695220865554e-19
relative error = 8.8569605276331068886212029957291e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.189
Order of pole = 2.178
x[1] = -1.938
y[1] (analytic) = -1.0944340625562186141815589154218
y[1] (numeric) = -1.0944340625562186131968492466008
absolute error = 9.847096688210e-19
relative error = 8.9974325773547246564332015142652e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.188
Order of pole = 2.178
x[1] = -1.937
y[1] (analytic) = -1.0942237092204037092745194520772
y[1] (numeric) = -1.0942237092204037082746507198175
absolute error = 9.998687322597e-19
relative error = 9.1376993921295276556095262471707e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.187
Order of pole = 2.178
x[1] = -1.936
y[1] (analytic) = -1.0940131843259974351901713888221
y[1] (numeric) = -1.0940131843259974341751724094018
absolute error = 1.0149989794203e-18
relative error = 9.2777582022068891463797740087212e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.186
Order of pole = 2.178
x[1] = -1.935
y[1] (analytic) = -1.0938024876817203126350266917691
y[1] (numeric) = -1.093802487681720311604926580523
absolute error = 1.0301001112461e-18
relative error = 9.4176062209308420989112763564650e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.185
Order of pole = 2.178
x[1] = -1.934
y[1] (analytic) = -1.0935916190960416328240731322788
y[1] (numeric) = -1.0935916190960416317789013052112
absolute error = 1.0451718270676e-18
relative error = 9.5572406446524779038151889085505e-17 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=4.1MB, time=0.61
Complex estimate of poles used
Radius of convergence = 2.185
Order of pole = 2.178
x[1] = -1.933
y[1] (analytic) = -1.0933805783771791215738614824
y[1] (numeric) = -1.0933805783771791205136476578048
absolute error = 1.0602138245952e-18
relative error = 9.6966586526421935466232821650146e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.184
Order of pole = 2.178
x[1] = -1.932
y[1] (analytic) = -1.093169365333098603085428412664
y[1] (numeric) = -1.0931693653330986020102026127523
absolute error = 1.0752257999117e-18
relative error = 9.8358574069999570812898239146072e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.183
Order of pole = 2.178
x[1] = -1.931
y[1] (analytic) = -1.0929579797715136634176652269667
y[1] (numeric) = -1.0929579797715136623274577795011
absolute error = 1.0902074474656e-18
relative error = 9.9748340525727377832851990829889e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.182
Order of pole = 2.178
x[1] = -1.93
y[1] (analytic) = -1.0927464214998853136517488147424
y[1] (numeric) = -1.0927464214998853125465903546796
absolute error = 1.1051584600628e-18
relative error = 1.0113585716857147255561698210411e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.181
Order of pole = 2.178
x[1] = -1.929
y[1] (analytic) = -1.0925346903254216527472574797095
y[1] (numeric) = -1.0925346903254216516271789508498
absolute error = 1.1200785288597e-18
relative error = 1.0252109509914730102654838938593e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.18
Order of pole = 2.178
x[1] = -1.928
y[1] (analytic) = -1.0923227860550775300906006172872
y[1] (numeric) = -1.0923227860550775289556332739314
absolute error = 1.1349673433558e-18
relative error = 1.0390402524282526769807195545216e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.179
Order of pole = 2.177
x[1] = -1.927
y[1] (analytic) = -1.0921107084955542077363975595155
y[1] (numeric) = -1.0921107084955542065865729681296
absolute error = 1.1498245913859e-18
relative error = 1.0528461834879817364388696722703e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.178
Order of pole = 2.177
x[1] = -1.926
y[1] (analytic) = -1.0918984574532990223424472870959
y[1] (numeric) = -1.0918984574532990211777973279828
absolute error = 1.1646499591131e-18
relative error = 1.0666284498922030864828159716568e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.177
Order of pole = 2.177
x[1] = -1.925
y[1] (analytic) = -1.0916860327345050467989371231669
y[1] (numeric) = -1.0916860327345050456194939921466
absolute error = 1.1794431310203e-18
relative error = 1.0803867555820760703204045142362e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.176
Order of pole = 2.177
x[1] = -1.924
y[1] (analytic) = -1.0914734341451107515525449727968
y[1] (numeric) = -1.0914734341451107503583411828928
absolute error = 1.1942037899040e-18
relative error = 1.0941208027104682678235576413712e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.176
Order of pole = 2.177
x[1] = -1.923
y[1] (analytic) = -1.0912606614907996656260961560552
y[1] (numeric) = -1.0912606614907996644171645391897
absolute error = 1.2089316168655e-18
relative error = 1.1078302916316501060938780944288e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.175
Order of pole = 2.177
x[1] = -1.922
y[1] (analytic) = -1.0910477145770000373344424010914
y[1] (numeric) = -1.0910477145770000361108161097877
absolute error = 1.2236262913037e-18
relative error = 1.1215149208924384848433207736157e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.174
Order of pole = 2.177
x[1] = -1.921
y[1] (analytic) = -1.0908345932088844946972371170395
y[1] (numeric) = -1.0908345932088844934589496261316
absolute error = 1.2382874909079e-18
relative error = 1.1351743872233245831172591556905e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.173
Order of pole = 2.177
x[1] = -1.92
y[1] (analytic) = -1.0906212971913697055492876549513
y[1] (numeric) = -1.090621297191369704296372763302
absolute error = 1.2529148916493e-18
relative error = 1.1488083855283938009591965130233e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.172
Order of pole = 2.177
x[1] = -1.919
y[1] (analytic) = -1.0904078263291160373491718884929
y[1] (numeric) = -1.0904078263291160360816637207192
absolute error = 1.2675081677737e-18
relative error = 1.1624166088763288571057636749791e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.171
Order of pole = 2.177
x[1] = -1.918
y[1] (analytic) = -1.0901941804265272166868131049712
y[1] (numeric) = -1.0901941804265272154047461131772
absolute error = 1.2820669917940e-18
relative error = 1.1759987484912133056689655382102e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.17
Order of pole = 2.176
x[1] = -1.917
y[1] (analytic) = -1.0899803592877499884907138915571
y[1] (numeric) = -1.0899803592877499871941228570752
absolute error = 1.2965910344819e-18
relative error = 1.1895544937425846846076005917016e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.169
Order of pole = 2.176
x[1] = -1.916
y[1] (analytic) = -1.0897663627166737749355564314937
y[1] (numeric) = -1.0897663627166737736244764666332
absolute error = 1.3110799648605e-18
relative error = 1.2030835321362961866325965688322e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.168
Order of pole = 2.176
x[1] = -1.915
y[1] (analytic) = -1.0895521905169303340508833907792
y[1] (numeric) = -1.0895521905169303327253499405831
absolute error = 1.3255334501961e-18
relative error = 1.2165855493046276430287211545341e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.167
Order of pole = 2.176
x[1] = -1.914
y[1] (analytic) = -1.0893378424918934180315803774641
y[1] (numeric) = -1.0893378424918934166916292214735
absolute error = 1.3399511559906e-18
relative error = 1.2300602289969299254124246802280e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.167
Order of pole = 2.176
x[1] = -1.913
y[1] (analytic) = -1.089123318444678431250887793451
y[1] (numeric) = -1.0891233184446784298965550474773
absolute error = 1.3543327459737e-18
relative error = 1.2435072530700689170771211327873e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.166
Order of pole = 2.176
x[1] = -1.912
y[1] (analytic) = -1.088908618178142087976676772703
y[1] (numeric) = -1.0889086181781420866079988906084
absolute error = 1.3686778820946e-18
relative error = 1.2569263014783932256672038954508e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.165
Order of pole = 2.176
x[1] = -1.911
y[1] (analytic) = -1.0886937414948820697917308102142
y[1] (numeric) = -1.0886937414948820684087445856999
absolute error = 1.3829862245143e-18
relative error = 1.2703170522642353171053501469060e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.164
Order of pole = 2.176
x[1] = -1.91
y[1] (analytic) = -1.0884786881972366827187816331298
y[1] (numeric) = -1.0884786881972366813215242015322
absolute error = 1.3972574315976e-18
relative error = 1.2836791815481199173982248751446e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.163
Order of pole = 2.176
x[1] = -1.909
y[1] (analytic) = -1.0882634580872845140510548491992
y[1] (numeric) = -1.0882634580872845126395636892942
absolute error = 1.4114911599050e-18
relative error = 1.2970123635188630087513661069925e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.162
Order of pole = 2.176
memory used=15.2MB, alloc=4.1MB, time=0.83
x[1] = -1.908
y[1] (analytic) = -1.0880480509668440888890879284541
y[1] (numeric) = -1.0880480509668440874634008642696
absolute error = 1.4256870641845e-18
relative error = 1.3103162704235612198981324401481e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.161
Order of pole = 2.175
x[1] = -1.907
y[1] (analytic) = -1.0878324666374735263845901318031
y[1] (numeric) = -1.0878324666374735249447453344393
absolute error = 1.4398447973638e-18
relative error = 1.3235905725579310391919273610171e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.16
Order of pole = 2.175
x[1] = -1.906
y[1] (analytic) = -1.0876167049004701956921210952779
y[1] (numeric) = -1.0876167049004701942381570847358
absolute error = 1.4539640105421e-18
relative error = 1.3368349382562627334751917112379e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.159
Order of pole = 2.175
x[1] = -1.905
y[1] (analytic) = -1.0874007655568703716293719111304
y[1] (numeric) = -1.0874007655568703701613275581486
absolute error = 1.4680443529818e-18
relative error = 1.3500490338812642759035265642424e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.159
Order of pole = 2.175
x[1] = -1.904
y[1] (analytic) = -1.0871846484074488900468397170265
y[1] (numeric) = -1.0871846484074488885647542449259
absolute error = 1.4820854721006e-18
relative error = 1.3632325238142549832033038561266e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.158
Order of pole = 2.175
x[1] = -1.903
y[1] (analytic) = -1.0869683532527188029076940123762
y[1] (numeric) = -1.0869683532527188014116069989133
absolute error = 1.4960870134629e-18
relative error = 1.3763850704446973100211262557266e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.157
Order of pole = 2.175
x[1] = -1.902
y[1] (analytic) = -1.0867518798929310330786401665586
y[1] (numeric) = -1.0867518798929310315685915457867
absolute error = 1.5100486207719e-18
relative error = 1.3895063341603540706359163723228e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.156
Order of pole = 2.175
x[1] = -1.901
y[1] (analytic) = -1.0865352281280740288325928675998
y[1] (numeric) = -1.0865352281280740273086229317388
absolute error = 1.5239699358610e-18
relative error = 1.4025959733367834097233579476990e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.155
Order of pole = 2.175
x[1] = -1.9
y[1] (analytic) = -1.0863183977578734180639795819257
y[1] (numeric) = -1.0863183977578734165261289832396
absolute error = 1.5378505986861e-18
relative error = 1.4156536443276434116936709186366e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.154
Order of pole = 2.175
x[1] = -1.899
y[1] (analytic) = -1.0861013885817916622175014562941
y[1] (numeric) = -1.0861013885817916606658112089777
absolute error = 1.5516902473164e-18
relative error = 1.4286790014535976902453523248051e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.153
Order of pole = 2.174
x[1] = -1.898
y[1] (analytic) = -1.0858842003990277099311864921022
y[1] (numeric) = -1.0858842003990277083656979741755
absolute error = 1.5654885179267e-18
relative error = 1.4416716969925826752764634892061e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.152
Order of pole = 2.174
x[1] = -1.897
y[1] (analytic) = -1.085666833008516650394577260115
y[1] (numeric) = -1.0856668330085166488153322153263
absolute error = 1.5792450447887e-18
relative error = 1.4546313811691357187049679497967e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.151
Order of pole = 2.174
x[1] = -1.896
y[1] (analytic) = -1.0854492862089293664229029004597
y[1] (numeric) = -1.0854492862089293648299434401972
absolute error = 1.5929594602625e-18
relative error = 1.4675577021438881844748168105701e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.15
Order of pole = 2.174
x[1] = -1.895
y[1] (analytic) = -1.0852315597986721872480926686421
y[1] (numeric) = -1.0852315597986721856414612738534
absolute error = 1.6066313947887e-18
relative error = 1.4804503060035922858671702635047e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.15
Order of pole = 2.174
x[1] = -1.894
y[1] (analytic) = -1.0850136535758865410274958435374
y[1] (numeric) = -1.0850136535758865394072353666584
absolute error = 1.6202604768790e-18
relative error = 1.4933088367497469078560938481398e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.149
Order of pole = 2.174
x[1] = -1.893
y[1] (analytic) = -1.0847955673384486070711804079716
y[1] (numeric) = -1.0847955673384486054373340748634
absolute error = 1.6338463331082e-18
relative error = 1.5061329362884937062515968025950e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.148
Order of pole = 2.174
x[1] = -1.892
y[1] (analytic) = -1.0845773008839689677886905468049
y[1] (numeric) = -1.084577300883968966141301958699
absolute error = 1.6473885881059e-18
relative error = 1.5189222444202177857203713875773e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.147
Order of pole = 2.174
x[1] = -1.891
y[1] (analytic) = -1.0843588540097922603561506815363
y[1] (numeric) = -1.0843588540097922586952638169893
absolute error = 1.6608868645470e-18
relative error = 1.5316763988280225043667183585479e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.146
Order of pole = 2.173
x[1] = -1.89
y[1] (analytic) = -1.084140226512996828104611474551
y[1] (numeric) = -1.0841402265129968264302706914067
absolute error = 1.6743407831443e-18
relative error = 1.5443950350681206488777069888898e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.145
Order of pole = 2.173
x[1] = -1.889
y[1] (analytic) = -1.0839214181903943716305409903873
y[1] (numeric) = -1.0839214181903943699427910277487
absolute error = 1.6877499626386e-18
relative error = 1.5570777865579007806342976573090e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.144
Order of pole = 2.173
x[1] = -1.888
y[1] (analytic) = -1.0837024288385295996293719960113
y[1] (numeric) = -1.0837024288385295979282579762206
absolute error = 1.7011140197907e-18
relative error = 1.5697242845657255684718275299100e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.143
Order of pole = 2.173
x[1] = -1.887
y[1] (analytic) = -1.0834832582536798794530242172078
y[1] (numeric) = -1.0834832582536798777385916478351
absolute error = 1.7144325693727e-18
relative error = 1.5823341582000648333907204700837e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.142
Order of pole = 2.173
x[1] = -1.886
y[1] (analytic) = -1.0832639062318548873923282440222
y[1] (numeric) = -1.0832639062318548856646230198633
absolute error = 1.7277052241589e-18
relative error = 1.5949070343982392496869216738961e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.142
Order of pole = 2.173
x[1] = -1.885
y[1] (analytic) = -1.0830443725687962586852856948912
y[1] (numeric) = -1.0830443725687962569443540999739
absolute error = 1.7409315949173e-18
relative error = 1.6074425379156974174110484301774e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.141
Order of pole = 2.173
x[1] = -1.884
y[1] (analytic) = -1.0828246570599772372521082068612
y[1] (numeric) = -1.0828246570599772354979969164606
absolute error = 1.7541112904006e-18
relative error = 1.6199402913148111447314062116860e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.14
Order of pole = 2.173
x[1] = -1.883
y[1] (analytic) = -1.0826047595006023251579858182959
y[1] (numeric) = -1.0826047595006023233907419009585
absolute error = 1.7672439173374e-18
relative error = 1.6323999149538347881827591347395e-16 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=19.0MB, alloc=4.2MB, time=1.06
Complex estimate of poles used
Radius of convergence = 2.139
Order of pole = 2.173
x[1] = -1.882
y[1] (analytic) = -1.0823846796856069318045433508962
y[1] (numeric) = -1.0823846796856069300242142704731
absolute error = 1.7803290804231e-18
relative error = 1.6448210269755668837656224401979e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.138
Order of pole = 2.172
x[1] = -1.881
y[1] (analytic) = -1.0821644174096570228509514798842
y[1] (numeric) = -1.0821644174096570210575850975728
absolute error = 1.7933663823114e-18
relative error = 1.6572032432965452541692620225349e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.137
Order of pole = 2.172
x[1] = -1.88
y[1] (analytic) = -1.0819439724671487688656673050121
y[1] (numeric) = -1.0819439724671487670593118814071
absolute error = 1.8063554236050e-18
relative error = 1.6695461775954823274082529739656e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.136
Order of pole = 2.172
x[1] = -1.879
y[1] (analytic) = -1.0817233446522081937097874008434
y[1] (numeric) = -1.0817233446522081918904915979968
absolute error = 1.8192958028466e-18
relative error = 1.6818494413019564213052943891577e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.135
Order of pole = 2.172
x[1] = -1.878
y[1] (analytic) = -1.0815025337586908226530045326886
y[1] (numeric) = -1.0815025337586908208208174161786
absolute error = 1.8321871165100e-18
relative error = 1.6941126435851743721912372011085e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.134
Order of pole = 2.172
x[1] = -1.877
y[1] (analytic) = -1.0812815395801813302231674748537
y[1] (numeric) = -1.0812815395801813283781385158626
absolute error = 1.8450289589911e-18
relative error = 1.7063353913426205853718633982469e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.133
Order of pole = 2.172
x[1] = -1.876
y[1] (analytic) = -1.0810603619099931877904516606612
y[1] (numeric) = -1.0810603619099931859326307380627
absolute error = 1.8578209225985e-18
relative error = 1.7185172891883147806383402716343e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.133
Order of pole = 2.172
x[1] = -1.875
y[1] (analytic) = -1.0808390005411683108871567292172
y[1] (numeric) = -1.0808390005411683090165941316725
absolute error = 1.8705625975447e-18
relative error = 1.7306579394416030196809520318933e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.132
Order of pole = 2.172
x[1] = -1.874
y[1] (analytic) = -1.0806174552664767062641554123057
y[1] (numeric) = -1.0806174552664767043809018403691
absolute error = 1.8832535719366e-18
relative error = 1.7427569421152797039042173473330e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.131
Order of pole = 2.171
x[1] = -1.873
y[1] (analytic) = -1.0803957258784161186850266262912
y[1] (numeric) = -1.0803957258784161167891331945245
absolute error = 1.8958934317667e-18
relative error = 1.7548138949043353438144893841755e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.13
Order of pole = 2.171
x[1] = -1.872
y[1] (analytic) = -1.0801738121692116774589140986807
y[1] (numeric) = -1.0801738121692116755504323377772
absolute error = 1.9084817609035e-18
relative error = 1.7668283931739422727358246820302e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.129
Order of pole = 2.171
x[1] = -1.871
y[1] (analytic) = -1.0799517139308155427131603672314
y[1] (numeric) = -1.079951713930815540792142226149
absolute error = 1.9210181410824e-18
relative error = 1.7788000299478809056214509847198e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.128
Order of pole = 2.171
x[1] = -1.87
y[1] (analytic) = -1.0797294309549065514067745413803
y[1] (numeric) = -1.0797294309549065494732723894839
absolute error = 1.9335021518964e-18
relative error = 1.7907283958967588046276008016347e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.127
Order of pole = 2.171
x[1] = -1.869
y[1] (analytic) = -1.0795069630328898630858008115048
y[1] (numeric) = -1.0795069630328898611398674407182
absolute error = 1.9459333707866e-18
relative error = 1.8026130793260221913217000090412e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.126
Order of pole = 2.171
x[1] = -1.868
y[1] (analytic) = -1.0792843099558966053816633312927
y[1] (numeric) = -1.0792843099558966034233519582596
absolute error = 1.9583113730331e-18
relative error = 1.8144536661643154675856749082797e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.125
Order of pole = 2.171
x[1] = -1.867
y[1] (analytic) = -1.0790614715147835192535717824957
y[1] (numeric) = -1.0790614715147835172829360507504
absolute error = 1.9706357317453e-18
relative error = 1.8262497399512624539181316238820e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.125
Order of pole = 2.171
x[1] = -1.866
y[1] (analytic) = -1.07883844750013260397608065976
y[1] (numeric) = -1.0788384475001326019931746419073
absolute error = 1.9829060178527e-18
relative error = 1.8380008818256880613953370946340e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.124
Order of pole = 2.171
x[1] = -1.865
y[1] (analytic) = -1.0786152377022507618729040862557
y[1] (numeric) = -1.0786152377022507598777822861605
absolute error = 1.9951218000952e-18
relative error = 1.8497066705133538563117892267243e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.123
Order of pole = 2.17
x[1] = -1.864
y[1] (analytic) = -1.0783918419111694427980967886686
y[1] (numeric) = -1.0783918419111694407908141436549
absolute error = 2.0072826450137e-18
relative error = 1.8613666823149485950461176093995e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.122
Order of pole = 2.17
x[1] = -1.863
y[1] (analytic) = -1.0781682599166442883657207229581
y[1] (numeric) = -1.0781682599166442863463326060175
absolute error = 2.0193881169406e-18
relative error = 1.8729804910939630347792460226722e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.121
Order of pole = 2.17
x[1] = -1.862
y[1] (analytic) = -1.0779444915081547759291257503268
y[1] (numeric) = -1.0779444915081547738976879723368
absolute error = 2.0314377779900e-18
relative error = 1.8845476682642632494379684172795e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.12
Order of pole = 2.17
x[1] = -1.861
y[1] (analytic) = -1.0777205364749038623109817162831
y[1] (numeric) = -1.0777205364749038602675505282346
absolute error = 2.0434311880485e-18
relative error = 1.8960677827781970434264924514738e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.119
Order of pole = 2.17
x[1] = -1.86
y[1] (analytic) = -1.0774963946058176272852082847049
y[1] (numeric) = -1.07749639460581762522984037994
absolute error = 2.0553679047649e-18
relative error = 1.9075404011136564418485192362501e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.118
Order of pole = 2.17
x[1] = -1.859
y[1] (analytic) = -1.0772720656895449168119579236318
y[1] (numeric) = -1.0772720656895449147447104400906
absolute error = 2.0672474835412e-18
relative error = 1.9189650872623225206704401452608e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.117
Order of pole = 2.17
x[1] = -1.858
y[1] (analytic) = -1.0770475495144569860268165303173
y[1] (numeric) = -1.077047549514456983947747052795
absolute error = 2.0790694775223e-18
relative error = 1.9303414027166802270450173223689e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.116
Order of pole = 2.17
x[1] = -1.857
y[1] (analytic) = -1.0768228458686471419853953200687
y[1] (numeric) = -1.0768228458686471398945618824819
absolute error = 2.0908334375868e-18
relative error = 1.9416689064580301077502903988484e-16 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=22.8MB, alloc=4.2MB, time=1.28
Complex estimate of poles used
Radius of convergence = 2.116
Order of pole = 2.169
x[1] = -1.856
y[1] (analytic) = -1.0765979545399303861644967867803
y[1] (numeric) = -1.0765979545399303840619578744437
absolute error = 2.1025389123366e-18
relative error = 1.9529471549433619752843922168619e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.115
Order of pole = 2.169
x[1] = -1.855
y[1] (analytic) = -1.0763728753158430567210467730395
y[1] (numeric) = -1.0763728753158430546068613249523
absolute error = 2.1141854480872e-18
relative error = 1.9641757020928539678350635279253e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.114
Order of pole = 2.169
x[1] = -1.854
y[1] (analytic) = -1.0761476079836424705099939644419
y[1] (numeric) = -1.0761476079836424683842213755834
absolute error = 2.1257725888585e-18
relative error = 1.9753540992778120015410944628354e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.113
Order of pole = 2.169
x[1] = -1.853
y[1] (analytic) = -1.0759221523303065648623874465032
y[1] (numeric) = -1.0759221523303065627250875701395
absolute error = 2.1372998763637e-18
relative error = 1.9864818953068195485948872441443e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.112
Order of pole = 2.169
x[1] = -1.852
y[1] (analytic) = -1.0756965081425335391248523335068
y[1] (numeric) = -1.0756965081425335369760854835061
absolute error = 2.1487668500007e-18
relative error = 1.9975586364141854199850874901365e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.111
Order of pole = 2.169
x[1] = -1.851
y[1] (analytic) = -1.0754706752067414959616928969641
y[1] (numeric) = -1.0754706752067414938015198501233
absolute error = 2.1601730468408e-18
relative error = 2.0085838662458577652317767668870e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.11
Order of pole = 2.169
x[1] = -1.85
y[1] (analytic) = -1.0752446533090680824208620873218
y[1] (numeric) = -1.0752446533090680802493440857022
absolute error = 2.1715180016196e-18
relative error = 2.0195571258473575983222950608513e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.109
Order of pole = 2.169
x[1] = -1.849
y[1] (analytic) = -1.0750184422353701307650458563007
y[1] (numeric) = -1.0750184422353701285822446095738
absolute error = 2.1828012467269e-18
relative error = 2.0304779536507580569800851442320e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.108
Order of pole = 2.168
x[1] = -1.848
y[1] (analytic) = -1.0747920417712232990691202490252
y[1] (numeric) = -1.0747920417712232968750979368293
absolute error = 2.1940223121959e-18
relative error = 2.0413458854609870447241273343426e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.108
Order of pole = 2.168
x[1] = -1.847
y[1] (analytic) = -1.0745654517019217115852488450957
y[1] (numeric) = -1.0745654517019217093800681194019
absolute error = 2.2051807256938e-18
relative error = 2.0521604544434064643769400752323e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.107
Order of pole = 2.168
x[1] = -1.846
y[1] (analytic) = -1.0743386718124775988768977861754
y[1] (numeric) = -1.074338671812477596660621773664
absolute error = 2.2162760125114e-18
relative error = 2.0629211911104359232120790361429e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.106
Order of pole = 2.168
x[1] = -1.845
y[1] (analytic) = -1.0741117018876209377230553347201
y[1] (numeric) = -1.0741117018876209354957476391674
absolute error = 2.2273076955527e-18
relative error = 2.0736276233081504290500127054977e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.105
Order of pole = 2.168
x[1] = -1.844
y[1] (analytic) = -1.073884541711799090793952664386
y[1] (numeric) = -1.0738845417117990885556773690609
absolute error = 2.2382752953251e-18
relative error = 2.0842792762034106851322432201400e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.104
Order of pole = 2.168
x[1] = -1.843
y[1] (analytic) = -1.0736571910691764460995923876043
y[1] (numeric) = -1.0736571910691764438504140576757
absolute error = 2.2491783299286e-18
relative error = 2.0948756722700364663900103799791e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.103
Order of pole = 2.168
x[1] = -1.842
y[1] (analytic) = -1.0734296497436340562124011800399
y[1] (numeric) = -1.0734296497436340539523848649939
absolute error = 2.2600163150460e-18
relative error = 2.1054163312758847725450531489516e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.102
Order of pole = 2.168
x[1] = -1.841
y[1] (analytic) = -1.0732019175187692772653327653487
y[1] (numeric) = -1.0732019175187692749945440014167
absolute error = 2.2707887639320e-18
relative error = 2.1159007702688772653789935811853e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.101
Order of pole = 2.168
x[1] = -1.84
y[1] (analytic) = -1.0729739941778954077267574770421
y[1] (numeric) = -1.0729739941778954054452622896387
absolute error = 2.2814951874034e-18
relative error = 2.1263285035640257315476478857837e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.1
Order of pole = 2.167
x[1] = -1.839
y[1] (analytic) = -1.0727458795040413269534846175545
y[1] (numeric) = -1.0727458795040413246613495237263
absolute error = 2.2921350938282e-18
relative error = 2.1366990427294061683386152501194e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.1
Order of pole = 2.167
x[1] = -1.838
y[1] (analytic) = -1.0725175732799511335232738880207
y[1] (numeric) = -1.0725175732799511312205658989053
absolute error = 2.3027079891154e-18
relative error = 2.1470118965727581471212894308745e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.099
Order of pole = 2.167
x[1] = -1.837
y[1] (analytic) = -1.0722890752880837833482022660042
y[1] (numeric) = -1.0722890752880837810349888892998
absolute error = 2.3132133767044e-18
relative error = 2.1572665711276844674547607175271e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.098
Order of pole = 2.167
x[1] = -1.836
y[1] (analytic) = -1.0720603853106127275702628626984
y[1] (numeric) = -1.0720603853106127252466121051437
absolute error = 2.3236507575547e-18
relative error = 2.1674625696401033784469488360995e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.097
Order of pole = 2.167
x[1] = -1.835
y[1] (analytic) = -1.0718315031294255502405824961646
y[1] (numeric) = -1.0718315031294255479065628660297
absolute error = 2.3340196301349e-18
relative error = 2.1775993925540206858569426378527e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.096
Order of pole = 2.167
x[1] = -1.834
y[1] (analytic) = -1.0716024285261236057836549731896
y[1] (numeric) = -1.0716024285261236034393354827773
absolute error = 2.3443194904123e-18
relative error = 2.1876765374978337878526516454513e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.095
Order of pole = 2.167
x[1] = -1.833
y[1] (analytic) = -1.0713731612820216562479973795565
y[1] (numeric) = -1.0713731612820216538934475477141
absolute error = 2.3545498318424e-18
relative error = 2.1976934992705149904443726694537e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.094
Order of pole = 2.167
x[1] = -1.832
y[1] (analytic) = -1.0711437011781475083446470371482
y[1] (numeric) = -1.0711437011781475059799368917903
absolute error = 2.3647101453579e-18
relative error = 2.2076497698273004120552008819525e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.093
Order of pole = 2.167
x[1] = -1.831
y[1] (analytic) = -1.0709140479952416502749271965605
y[1] (numeric) = -1.0709140479952416479001272772022
absolute error = 2.3747999193583e-18
relative error = 2.2175448382659108174024991509929e-16 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=26.7MB, alloc=4.2MB, time=1.51
Complex estimate of poles used
Radius of convergence = 2.092
Order of pole = 2.166
x[1] = -1.83
y[1] (analytic) = -1.0706842015137568883489199960067
y[1] (numeric) = -1.0706842015137568859641013563078
absolute error = 2.3848186396989e-18
relative error = 2.2273781908121843216701067217604e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.092
Order of pole = 2.166
x[1] = -1.829
y[1] (analytic) = -1.0704541615138579833960957314775
y[1] (numeric) = -1.0704541615138579810013299417972
absolute error = 2.3947657896803e-18
relative error = 2.2371493108061476035433782537791e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.091
Order of pole = 2.166
x[1] = -1.828
y[1] (analytic) = -1.0702239277754212869695580495882
y[1] (numeric) = -1.0702239277754212845649171995513
absolute error = 2.4046408500369e-18
relative error = 2.2468576786871246312128060636908e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.09
Order of pole = 2.166
x[1] = -1.827
y[1] (analytic) = -1.0699935000780343773453752935366
y[1] (numeric) = -1.0699935000780343749309319946097
absolute error = 2.4144432989269e-18
relative error = 2.2565027719802178342302176020160e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.089
Order of pole = 2.166
x[1] = -1.826
y[1] (analytic) = -1.0697628782009956953184789043136
y[1] (numeric) = -1.0697628782009956928943062923928
absolute error = 2.4241726119208e-18
relative error = 2.2660840652813593496638867634891e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.088
Order of pole = 2.166
x[1] = -1.825
y[1] (analytic) = -1.0695320619233141797966205039994
y[1] (numeric) = -1.0695320619233141773627922420089
absolute error = 2.4338282619905e-18
relative error = 2.2756010302428935799961382401120e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.087
Order of pole = 2.166
x[1] = -1.824
y[1] (analytic) = -1.0693010510237089031938900658457
y[1] (numeric) = -1.0693010510237089007504803463471
absolute error = 2.4434097194986e-18
relative error = 2.2850531355593177065119420544136e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.086
Order of pole = 2.166
x[1] = -1.823
y[1] (analytic) = -1.0690698452806087066253084071283
y[1] (numeric) = -1.0690698452806087041723919549414
absolute error = 2.4529164521869e-18
relative error = 2.2944398469522449228910389689675e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.085
Order of pole = 2.166
x[1] = -1.822
y[1] (analytic) = -1.068838444472151834904018125674
y[1] (numeric) = -1.0688384444721518324416702005081
absolute error = 2.4623479251659e-18
relative error = 2.3037606271562732007312922209096e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.084
Order of pole = 2.166
x[1] = -1.821
y[1] (analytic) = -1.068606848376185571342608039746
y[1] (numeric) = -1.0686068483761855688709044388429
absolute error = 2.4717036009031e-18
relative error = 2.3130149359037021207757409987970e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.084
Order of pole = 2.165
x[1] = -1.82
y[1] (analytic) = -1.0683750567702658723601171838498
y[1] (numeric) = -1.0683750567702658698791342446374
absolute error = 2.4809829392124e-18
relative error = 2.3222022299102487409454951225047e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.083
Order of pole = 2.165
x[1] = -1.819
y[1] (analytic) = -1.0681430694316570018962754602112
y[1] (numeric) = -1.0681430694316569994060900629687
absolute error = 2.4901853972425e-18
relative error = 2.3313219628597979050847537612608e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.082
Order of pole = 2.165
x[1] = -1.818
y[1] (analytic) = -1.0679108861373311656345491474241
y[1] (numeric) = -1.0679108861373311631352387179581
absolute error = 2.4993104294660e-18
relative error = 2.3403735853897773334413905735248e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.081
Order of pole = 2.165
x[1] = -1.817
y[1] (analytic) = -1.0676785066639681450355706242843
y[1] (numeric) = -1.0676785066639681425272131366165
absolute error = 2.5083574876678e-18
relative error = 2.3493565450758471040521376151447e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.08
Order of pole = 2.165
x[1] = -1.816
y[1] (analytic) = -1.0674459307879549311825428783578
y[1] (numeric) = -1.0674459307879549286652168574239
absolute error = 2.5173260209339e-18
relative error = 2.3582702864169328921011577230376e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.079
Order of pole = 2.165
x[1] = -1.815
y[1] (analytic) = -1.0672131582853853584402206356041
y[1] (numeric) = -1.0672131582853853559140051599638
absolute error = 2.5262154756403e-18
relative error = 2.3671142508203222987817472046603e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.078
Order of pole = 2.165
x[1] = -1.814
y[1] (analytic) = -1.0669801889320597379290812696193
y[1] (numeric) = -1.0669801889320597353940559741779
absolute error = 2.5350252954414e-18
relative error = 2.3758878765862619451000783800730e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.077
Order of pole = 2.165
x[1] = -1.813
y[1] (analytic) = -1.0667470225034844908163100270173
y[1] (numeric) = -1.0667470225034844882725551057589
absolute error = 2.5437549212584e-18
relative error = 2.3845905988925231951678588122279e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.076
Order of pole = 2.165
x[1] = -1.812
y[1] (analytic) = -1.0665136587748717814252355393604
y[1] (numeric) = -1.0665136587748717788728317480919
absolute error = 2.5524037912685e-18
relative error = 2.3932218497796864800351360296348e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.076
Order of pole = 2.165
x[1] = -1.811
y[1] (analytic) = -1.0662800975211391501648630821168
y[1] (numeric) = -1.0662800975211391476038917412243
absolute error = 2.5609713408925e-18
relative error = 2.4017810581348944192864508744361e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.075
Order of pole = 2.164
x[1] = -1.81
y[1] (analytic) = -1.0660463385169091462811645876063
y[1] (numeric) = -1.0660463385169091437117075848224
absolute error = 2.5694570027839e-18
relative error = 2.4102676496769792448706517417181e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.074
Order of pole = 2.164
x[1] = -1.809
y[1] (analytic) = -1.0658123815365089604317960220182
y[1] (numeric) = -1.065812381536508957853935815201
absolute error = 2.5778602068172e-18
relative error = 2.4186810469408085679666154666684e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.073
Order of pole = 2.164
x[1] = -1.808
y[1] (analytic) = -1.0655782263539700570859243966009
y[1] (numeric) = -1.0655782263539700544997440165249
absolute error = 2.5861803800760e-18
relative error = 2.4270206692614112735753478290836e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.072
Order of pole = 2.164
x[1] = -1.807
y[1] (analytic) = -1.0653438727430278067508584002558
y[1] (numeric) = -1.065343872743027804156441453414
absolute error = 2.5944169468418e-18
relative error = 2.4352859327587279110674454353570e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.071
Order of pole = 2.164
x[1] = -1.806
y[1] (analytic) = -1.0651093204771211180271884152658
y[1] (numeric) = -1.0651093204771211154246190866838
absolute error = 2.6025693285820e-18
relative error = 2.4434762503215781452120675545738e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.07
Order of pole = 2.164
x[1] = -1.805
memory used=30.5MB, alloc=4.3MB, time=1.74
y[1] (analytic) = -1.0648745693293920694941535099859
y[1] (numeric) = -1.0648745693293920668835165660481
absolute error = 2.6106369439378e-18
relative error = 2.4515910315915013240876529024628e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.069
Order of pole = 2.164
x[1] = -1.804
y[1] (analytic) = -1.0646396190726855414269648922663
y[1] (numeric) = -1.0646396190726855388083456835528
absolute error = 2.6186192087135e-18
relative error = 2.4596296829478788021555859756785e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.068
Order of pole = 2.164
x[1] = -1.803
y[1] (analytic) = -1.0644044694795488473478272553968
y[1] (numeric) = -1.0644044694795488447213117195333
absolute error = 2.6265155358635e-18
relative error = 2.4675916074908637845098939478715e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.068
Order of pole = 2.164
x[1] = -1.802
y[1] (analytic) = -1.0641691203222313654124114547175
y[1] (numeric) = -1.0641691203222313627780861192363
absolute error = 2.6343253354812e-18
relative error = 2.4754762050260619500108379901496e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.067
Order of pole = 2.164
x[1] = -1.801
y[1] (analytic) = -1.0639335713726841696335440179519
y[1] (numeric) = -1.0639335713726841669914960031651
absolute error = 2.6420480147868e-18
relative error = 2.4832828720481457435518166078294e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.066
Order of pole = 2.164
x[1] = -1.8
y[1] (analytic) = -1.0636978224025596609438911160525
y[1] (numeric) = -1.0636978224025596582942081379373
absolute error = 2.6496829781152e-18
relative error = 2.4910110017245287315613880665120e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.065
Order of pole = 2.163
x[1] = -1.799
y[1] (analytic) = -1.0634618731832111980994268041349
y[1] (numeric) = -1.0634618731832111954421971772302
absolute error = 2.6572296269047e-18
relative error = 2.4986599838797582456539041593327e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.064
Order of pole = 2.163
x[1] = -1.798
y[1] (analytic) = -1.0632257234856927284254875841644
y[1] (numeric) = -1.0632257234856927257608002244803
absolute error = 2.6646873596841e-18
relative error = 2.5062292049783700533874450458421e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.063
Order of pole = 2.163
x[1] = -1.797
y[1] (analytic) = -1.0629893730807584184072276426995
y[1] (numeric) = -1.0629893730807584157351720706384
absolute error = 2.6720555720611e-18
relative error = 2.5137180481089307241014340675891e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.062
Order of pole = 2.163
x[1] = -1.796
y[1] (analytic) = -1.0627528217388622841263014784297
y[1] (numeric) = -1.0627528217388622814469678217194
absolute error = 2.6793336567103e-18
relative error = 2.5211258929676698210824565858743e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.061
Order of pole = 2.163
x[1] = -1.795
y[1] (analytic) = -1.0625160692301578215456130557209
y[1] (numeric) = -1.0625160692301578188590920523602
absolute error = 2.6865210033607e-18
relative error = 2.5284521158416070685661316344688e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.061
Order of pole = 2.163
x[1] = -1.794
y[1] (analytic) = -1.0622791153244976366439831021563
y[1] (numeric) = -1.0622791153244976339503661033724
absolute error = 2.6936169987839e-18
relative error = 2.5356960895923032541969046961040e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.06
Order of pole = 2.163
x[1] = -1.793
y[1] (analytic) = -1.0620419597914330754025987103692
y[1] (numeric) = -1.0620419597914330727019776835875
absolute error = 2.7006210267817e-18
relative error = 2.5428571836390116850769229065200e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.059
Order of pole = 2.163
x[1] = -1.792
y[1] (analytic) = -1.061804602400213853645122007572
y[1] (numeric) = -1.0618046024002138509375895393983
absolute error = 2.7075324681737e-18
relative error = 2.5499347639417942375608483436963e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.058
Order of pole = 2.163
x[1] = -1.791
y[1] (analytic) = -1.0615670429197876867333473203349
y[1] (numeric) = -1.0615670429197876840189966195498
absolute error = 2.7143507007851e-18
relative error = 2.5569281929847902458064837962444e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.057
Order of pole = 2.163
x[1] = -1.79
y[1] (analytic) = -1.061329281118799919120308987613
y[1] (numeric) = -1.0613292811187999163992338881785
absolute error = 2.7210750994345e-18
relative error = 2.5638368297594499251235752403758e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.056
Order of pole = 2.163
x[1] = -1.789
y[1] (analytic) = -1.0610913167655931537627547620153
y[1] (numeric) = -1.061091316765593151035049726094
absolute error = 2.7277050359213e-18
relative error = 2.5706600297473552036626651244828e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.055
Order of pole = 2.163
x[1] = -1.788
y[1] (analytic) = -1.0608531496282068813949125881078
y[1] (numeric) = -1.0608531496282068786606727090944
absolute error = 2.7342398790134e-18
relative error = 2.5773971449032870594647727370328e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.054
Order of pole = 2.163
x[1] = -1.787
y[1] (analytic) = -1.0606147794743771096654914573981
y[1] (numeric) = -1.0606147794743771069248124629634
absolute error = 2.7406789944347e-18
relative error = 2.5840475236380682231642771418130e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.053
Order of pole = 2.162
x[1] = -1.786
y[1] (analytic) = -1.0603762060715359921398700128174
y[1] (numeric) = -1.0603762060715359893928482679649
absolute error = 2.7470217448525e-18
relative error = 2.5906105108012750965687505682784e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.053
Order of pole = 2.162
x[1] = -1.785
y[1] (analytic) = -1.0601374291868114571694396112554
y[1] (numeric) = -1.0601374291868114544161721213903
absolute error = 2.7532674898651e-18
relative error = 2.5970854476641015597311985787659e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.052
Order of pole = 2.162
x[1] = -1.784
y[1] (analytic) = -1.0598984485870268366300816512671
y[1] (numeric) = -1.059898448587026833870666065278
absolute error = 2.7594155859891e-18
relative error = 2.6034716719019030587234108441678e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.051
Order of pole = 2.162
x[1] = -1.783
y[1] (analytic) = -1.0596592640387004945317721347226
y[1] (numeric) = -1.059659264038700491766306748076
absolute error = 2.7654653866466e-18
relative error = 2.6097685175766091049399209226093e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.05
Order of pole = 2.162
x[1] = -1.782
y[1] (analytic) = -1.0594198753080454555013196561638
y[1] (numeric) = -1.0594198753080454527299034140106
absolute error = 2.7714162421532e-18
relative error = 2.6159753151198533937960117429984e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.049
Order of pole = 2.162
x[1] = -1.781
y[1] (analytic) = -1.0591802821609690331402563022281
y[1] (numeric) = -1.0591802821609690303629888025237
absolute error = 2.7772674997044e-18
relative error = 2.6220913913145566695271111282193e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.048
Order of pole = 2.162
x[1] = -1.78
y[1] (analytic) = -1.0589404843630724582599142959644
y[1] (numeric) = -1.0589404843630724554768957926011
absolute error = 2.7830185033633e-18
relative error = 2.6281160692776983660348590769357e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.047
Order of pole = 2.162
x[1] = -1.779
memory used=34.3MB, alloc=4.3MB, time=1.96
y[1] (analytic) = -1.0587004816796505069957346374499
y[1] (numeric) = -1.0587004816796505042070660434021
absolute error = 2.7886685940478e-18
relative error = 2.6340486684425786022114423929927e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.046
Order of pole = 2.162
x[1] = -1.778
y[1] (analytic) = -1.0584602738756911288028674730938
y[1] (numeric) = -1.0584602738756911260086503635762
absolute error = 2.7942171095176e-18
relative error = 2.6398885045408530467774170873347e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.046
Order of pole = 2.162
x[1] = -1.777
y[1] (analytic) = -1.0582198607158750743351374716394
y[1] (numeric) = -1.0582198607158750715354740872778
absolute error = 2.7996633843616e-18
relative error = 2.6456348895849071730280807245943e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.045
Order of pole = 2.162
x[1] = -1.776
y[1] (analytic) = -1.0579792419645755232094610954174
y[1] (numeric) = -1.0579792419645755204044543454328
absolute error = 2.8050067499846e-18
relative error = 2.6512871318495306162795755097376e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.044
Order of pole = 2.162
x[1] = -1.775
y[1] (analytic) = -1.057738417385857711657816331125
y[1] (numeric) = -1.0577384173858577088475697965305
absolute error = 2.8102465345945e-18
relative error = 2.6568445358540249060130268433692e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.043
Order of pole = 2.162
x[1] = -1.774
y[1] (analytic) = -1.0574973867434785600688791855726
y[1] (numeric) = -1.057497386743478557253497122383
absolute error = 2.8153820631896e-18
relative error = 2.6623064023443669008963885757271e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.042
Order of pole = 2.162
x[1] = -1.773
y[1] (analytic) = -1.057256149800886300421455058718
y[1] (numeric) = -1.0572561498008862976010424011733
absolute error = 2.8204126575447e-18
relative error = 2.6676720282741983073939805109692e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.041
Order of pole = 2.162
x[1] = -1.772
y[1] (analytic) = -1.0570147063212201036118469791709
y[1] (numeric) = -1.0570147063212201007865093429718
absolute error = 2.8253376361991e-18
relative error = 2.6729407067875720824809154543538e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.04
Order of pole = 2.162
x[1] = -1.771
y[1] (analytic) = -1.0567730560673097066773166264532
y[1] (numeric) = -1.0567730560673097038471603120105
absolute error = 2.8301563144427e-18
relative error = 2.6781117271998625646196409526960e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.039
Order of pole = 2.162
x[1] = -1.77
y[1] (analytic) = -1.0565311988016750399178080699299
y[1] (numeric) = -1.0565311988016750370829400656268
absolute error = 2.8348680043031e-18
relative error = 2.6831843749795811132132847953961e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.039
Order of pole = 2.161
x[1] = -1.769
y[1] (analytic) = -1.0562891342865258539181182267354
y[1] (numeric) = -1.0562891342865258510786462122033
absolute error = 2.8394720145321e-18
relative error = 2.6881579317295838557252624610820e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.038
Order of pole = 2.161
x[1] = -1.768
y[1] (analytic) = -1.0560468622837613464727121804917
y[1] (numeric) = -1.0560468622837613436287445298987
absolute error = 2.8439676505930e-18
relative error = 2.6930316751689961517639375355715e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.037
Order of pole = 2.161
x[1] = -1.767
y[1] (analytic) = -1.055804382554969789415395709414
y[1] (numeric) = -1.0558043825549697865670414947673
absolute error = 2.8483542146467e-18
relative error = 2.6978048791139605199652394051728e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.036
Order of pole = 2.161
x[1] = -1.766
y[1] (analytic) = -1.0555616948614281553560716468066
y[1] (numeric) = -1.0555616948614281525034406412678
absolute error = 2.8526310055388e-18
relative error = 2.7024768134592902190795198461831e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.035
Order of pole = 2.161
x[1] = -1.765
y[1] (analytic) = -1.0553187989641017443268210392272
y[1] (numeric) = -1.0553187989641017414700237204412
absolute error = 2.8567973187860e-18
relative error = 2.7070467441594189360603643483614e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.034
Order of pole = 2.161
x[1] = -1.764
y[1] (analytic) = -1.0550756946236438103395644780314
y[1] (numeric) = -1.055075694623643807478712031469
absolute error = 2.8608524465624e-18
relative error = 2.7115139332092140101036072528731e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.033
Order of pole = 2.161
x[1] = -1.763
y[1] (analytic) = -1.0548323816003951878575734588655
y[1] (numeric) = -1.0548323816003951849927777811788
absolute error = 2.8647956776867e-18
relative error = 2.7158776386256008716129841308777e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.032
Order of pole = 2.161
x[1] = -1.762
y[1] (analytic) = -1.0545888596543839181831161712323
y[1] (numeric) = -1.0545888596543839153144898736241
absolute error = 2.8686262976082e-18
relative error = 2.7201371144280085904693634887054e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.032
Order of pole = 2.161
x[1] = -1.761
y[1] (analytic) = -1.0543451285453248757635367367935
y[1] (numeric) = -1.0543451285453248728911931484003
absolute error = 2.8723435883932e-18
relative error = 2.7242916106191520390801915056002e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.031
Order of pole = 2.161
x[1] = -1.76
y[1] (analytic) = -1.0541011880326193944180816008678
y[1] (numeric) = -1.0541011880326193915421347721561
absolute error = 2.8759468287117e-18
relative error = 2.7283403731660562261513365011097e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.03
Order of pole = 2.161
x[1] = -1.759
y[1] (analytic) = -1.0538570378753548934878015369111
y[1] (numeric) = -1.0538570378753548906083662430877
absolute error = 2.8794352938234e-18
relative error = 2.7322826439803741778307172744683e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.029
Order of pole = 2.161
x[1] = -1.758
y[1] (analytic) = -1.0536126778323045039108725489141
y[1] (numeric) = -1.0536126778323045010280642933496
absolute error = 2.8828082555645e-18
relative error = 2.7361176608994207722534175556901e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.028
Order of pole = 2.161
x[1] = -1.757
y[1] (analytic) = -1.0533681076619266942256938518897
y[1] (numeric) = -1.0533681076619266913396288695561
absolute error = 2.8860649823336e-18
relative error = 2.7398446576663096968617560136630e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.027
Order of pole = 2.161
x[1] = -1.756
y[1] (analytic) = -1.053123327122364896504136076245
y[1] (numeric) = -1.0531233271223648936149313371671
absolute error = 2.8892047390779e-18
relative error = 2.7434628639103314160988777902248e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.026
Order of pole = 2.161
x[1] = -1.755
y[1] (analytic) = -1.0528783359714471322173278781071
y[1] (numeric) = -1.0528783359714471293251010908276
absolute error = 2.8922267872795e-18
relative error = 2.7469715051273824615844978181611e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.025
Order of pole = 2.161
x[1] = -1.754
y[1] (analytic) = -1.0526331339666856380363842448938
y[1] (numeric) = -1.0526331339666856351412538599521
absolute error = 2.8951303849417e-18
relative error = 2.7503698026603510042461055267846e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.025
Order of pole = 2.161
memory used=38.1MB, alloc=4.3MB, time=2.19
x[1] = -1.753
y[1] (analytic) = -1.0523877208652764915704949638652
y[1] (numeric) = -1.0523877208652764886725801772904
absolute error = 2.8979147865748e-18
relative error = 2.7536569736789834024540142347739e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.024
Order of pole = 2.161
x[1] = -1.752
y[1] (analytic) = -1.0521420964240992370448069713523
y[1] (numeric) = -1.0521420964240992341442277281699
absolute error = 2.9005792431824e-18
relative error = 2.7568322311601811948644189859233e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.023
Order of pole = 2.161
x[1] = -1.751
y[1] (analytic) = -1.0518962603997165109205496221103
y[1] (numeric) = -1.051896260399716508017426619863
absolute error = 2.9031230022473e-18
relative error = 2.7598947838678735168090712637251e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.022
Order of pole = 2.161
x[1] = -1.75
y[1] (analytic) = -1.0516502125483736674598673120863
y[1] (numeric) = -1.0516502125483736645543220043688
absolute error = 2.9055453077175e-18
relative error = 2.7628438363329395618960960479748e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.021
Order of pole = 2.161
x[1] = -1.749
y[1] (analytic) = -1.0514039526259984042378393540978
y[1] (numeric) = -1.0514039526259984013299939541056
absolute error = 2.9078453999922e-18
relative error = 2.7656785888330859315199994371559e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.02
Order of pole = 2.161
x[1] = -1.748
y[1] (analytic) = -1.0511574803882003876041825447895
y[1] (numeric) = -1.0511574803882003846941600288821
absolute error = 2.9100225159074e-18
relative error = 2.7683982373722981367257531271121e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.019
Order of pole = 2.161
x[1] = -1.747
y[1] (analytic) = -1.0509107955902708780971474730531
y[1] (numeric) = -1.050910795590270875185071584331
absolute error = 2.9120758887221e-18
relative error = 2.7710019736608169790455914462418e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.018
Order of pole = 2.161
x[1] = -1.746
y[1] (analytic) = -1.0506638979871823558121353051524
y[1] (numeric) = -1.0506638979871823528981305570482
absolute error = 2.9140047481042e-18
relative error = 2.7734889850947839410485834630451e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.018
Order of pole = 2.161
x[1] = -1.745
y[1] (analytic) = -1.0504167873335881457275775403811
y[1] (numeric) = -1.0504167873335881428117692202656
absolute error = 2.9158083201155e-18
relative error = 2.7758584547349837101210931528966e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.017
Order of pole = 2.161
x[1] = -1.744
y[1] (analytic) = -1.0501694633838220429906370634934
y[1] (numeric) = -1.0501694633838220400731512362951
absolute error = 2.9174858271983e-18
relative error = 2.7781095612870627838232781638923e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.016
Order of pole = 2.161
x[1] = -1.743
y[1] (analytic) = -1.0499219258918979381653047266663
y[1] (numeric) = -1.0499219258918979352462682385056
absolute error = 2.9190364881607e-18
relative error = 2.7802414790804643471051208450273e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.015
Order of pole = 2.161
x[1] = -1.742
y[1] (analytic) = -1.0496741746115094424454816746877
y[1] (numeric) = -1.0496741746115094395250221565257
absolute error = 2.9204595181620e-18
relative error = 2.7822533780474109178646609303106e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.014
Order of pole = 2.161
x[1] = -1.741
y[1] (analytic) = -1.0494262092960295128356536826984
y[1] (numeric) = -1.0494262092960295099138995539995
absolute error = 2.9217541286989e-18
relative error = 2.7841444237026017353710069521586e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.013
Order of pole = 2.161
x[1] = -1.74
y[1] (analytic) = -1.0491780296985100773017799064475
y[1] (numeric) = -1.0491780296985100743788603788572
absolute error = 2.9229195275903e-18
relative error = 2.7859137771215290595708300895147e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.012
Order of pole = 2.161
x[1] = -1.739
y[1] (analytic) = -1.0489296355716816598950346509516
y[1] (numeric) = -1.0489296355716816569710797319882
absolute error = 2.9239549189634e-18
relative error = 2.7875605949199850112330486996323e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.011
Order of pole = 2.161
x[1] = -1.738
y[1] (analytic) = -1.048681026667953005851057044964
y[1] (numeric) = -1.0486810266679530029261975417252
absolute error = 2.9248595032388e-18
relative error = 2.7890840292325675577760754144159e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.011
Order of pole = 2.161
x[1] = -1.737
y[1] (analytic) = -1.0484322027394107066673798660733
y[1] (numeric) = -1.0484322027394107037417473889571
absolute error = 2.9256324771162e-18
relative error = 2.7904832276917099353545053393692e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.01
Order of pole = 2.161
x[1] = -1.736
y[1] (analytic) = -1.0481831635378188251617251948455
y[1] (numeric) = -1.048183163537818822235452161286
absolute error = 2.9262730335595e-18
relative error = 2.7917573334060894000554617307002e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.009
Order of pole = 2.161
x[1] = -1.735
y[1] (analytic) = -1.0479339088146185205138710865148
y[1] (numeric) = -1.0479339088146185175870907247325
absolute error = 2.9267803617823e-18
relative error = 2.7929054849393683956675787340852e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.008
Order of pole = 2.161
x[1] = -1.734
y[1] (analytic) = -1.0476844383209276732938100356012
y[1] (numeric) = -1.0476844383209276703666563883681
absolute error = 2.9271536472331e-18
relative error = 2.7939268162886004110861072428017e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.007
Order of pole = 2.161
x[1] = -1.733
y[1] (analytic) = -1.0474347518075405104789366728037
y[1] (numeric) = -1.0474347518075405075515446012232
absolute error = 2.9273920715805e-18
relative error = 2.7948204568625862419645957455458e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.006
Order of pole = 2.161
x[1] = -1.732
y[1] (analytic) = -1.0471848490249272304630188748779
y[1] (numeric) = -1.0471848490249272275355240621793
absolute error = 2.9274948126986e-18
relative error = 2.7955855314603714202307048641426e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.005
Order of pole = 2.161
x[1] = -1.731
y[1] (analytic) = -1.0469347297232336280597232872656
y[1] (numeric) = -1.0469347297232336251322622426136
absolute error = 2.9274610446520e-18
relative error = 2.7962211602493118034825658364920e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.005
Order of pole = 2.161
x[1] = -1.73
y[1] (analytic) = -1.0466843936522807195034831563044
y[1] (numeric) = -1.0466843936522807165761932186234
absolute error = 2.9272899376810e-18
relative error = 2.7967264587432796977192579746295e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.004
Order of pole = 2.161
x[1] = -1.729
y[1] (analytic) = -1.0464338405615643674505133432104
y[1] (numeric) = -1.0464338405615643645235326850239
absolute error = 2.9269806581865e-18
relative error = 2.7971005377805327910704650030131e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.003
Order of pole = 2.161
x[1] = -1.728
y[1] (analytic) = -1.0461830702002549059827944460079
y[1] (numeric) = -1.0461830702002549030562620772928
absolute error = 2.9265323687151e-18
relative error = 2.7973425035017231161651159141896e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.002
Order of pole = 2.161
memory used=41.9MB, alloc=4.3MB, time=2.41
x[1] = -1.727
y[1] (analytic) = -1.0459320823171967656178650884773
y[1] (numeric) = -1.0459320823171967626919208605328
absolute error = 2.9259442279445e-18
relative error = 2.7974514573281417385211540962051e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.001
Order of pole = 2.161
x[1] = -1.726
y[1] (analytic) = -1.0456808766609080983272786473166
y[1] (numeric) = -1.0456808766609080954020632566492
absolute error = 2.9252153906674e-18
relative error = 2.7974264959384780547128967330245e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2
Order of pole = 2.161
x[1] = -1.725
y[1] (analytic) = -1.0454294529795804025665979803791
y[1] (numeric) = -1.0454294529795803996422529726013
absolute error = 2.9243450077778e-18
relative error = 2.7972667112478215784088272916031e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.999
Order of pole = 2.161
x[1] = -1.724
y[1] (analytic) = -1.0451778110210781483198190903494
y[1] (numeric) = -1.0451778110210781453964868640947
absolute error = 2.9233322262547e-18
relative error = 2.7969711903841259661058977783768e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.998
Order of pole = 2.161
x[1] = -1.723
y[1] (analytic) = -1.0449259505329384021611321098912
y[1] (numeric) = -1.044925950532938399238955920744
absolute error = 2.9221761891472e-18
relative error = 2.7965390156659588800619973852451e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.998
Order of pole = 2.161
x[1] = -1.722
y[1] (analytic) = -1.0446738712623704523369455264271
y[1] (numeric) = -1.0446738712623704494160694908671
absolute error = 2.9208760355600e-18
relative error = 2.7959692645805824690065361570198e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.997
Order of pole = 2.161
x[1] = -1.721
y[1] (analytic) = -1.0444215729562554338711171776211
y[1] (numeric) = -1.0444215729562554309516862769841
absolute error = 2.9194309006370e-18
relative error = 2.7952610097601627002096989523153e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.996
Order of pole = 2.161
x[1] = -1.72
y[1] (analytic) = -1.0441690553611459536963532426421
y[1] (numeric) = -1.0441690553611459507785133270955
absolute error = 2.9178399155466e-18
relative error = 2.7944133189595519442994418836548e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.995
Order of pole = 2.161
x[1] = -1.719
y[1] (analytic) = -1.0439163182232657158147542296939
y[1] (numeric) = -1.0439163182232657128986520222274
absolute error = 2.9161022074665e-18
relative error = 2.7934252550335398731260414394376e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.994
Order of pole = 2.161
x[1] = -1.718
y[1] (analytic) = -1.0436633612885091464905048174304
y[1] (numeric) = -1.0436633612885091435762879178627
absolute error = 2.9142168995677e-18
relative error = 2.7922958759132841687361887140121e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.993
Order of pole = 2.161
x[1] = -1.717
y[1] (analytic) = -1.0434101843024410194777223470474
y[1] (numeric) = -1.0434101843024410165655392360476
absolute error = 2.9121831109998e-18
relative error = 2.7910242345839321279860211505981e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.992
Order of pole = 2.161
x[1] = -1.716
y[1] (analytic) = -1.0431567870102960812864967833629
y[1] (numeric) = -1.043156787010296078376496826488
absolute error = 2.9099999568749e-18
relative error = 2.7896093790608467325972693922306e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.992
Order of pole = 2.161
x[1] = -1.715
y[1] (analytic) = -1.0429031691569786764901730673983
y[1] (numeric) = -1.0429031691569786735825065191461
absolute error = 2.9076665482522e-18
relative error = 2.7880503523664482658193498030581e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.991
Order of pole = 2.161
x[1] = -1.714
y[1] (analytic) = -1.0426493304870623730769449701572
y[1] (numeric) = -1.0426493304870623701717629780346
absolute error = 2.9051819921226e-18
relative error = 2.7863461925070009983736621688412e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.99
Order of pole = 2.161
x[1] = -1.713
y[1] (analytic) = -1.0423952707447895878488478277957
y[1] (numeric) = -1.0423952707447895849463024364026
absolute error = 2.9025453913931e-18
relative error = 2.7844959324491528267433545087983e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.989
Order of pole = 2.161
x[1] = -1.712
y[1] (analytic) = -1.0421409896740712118712558925046
y[1] (numeric) = -1.0421409896740712089715000476336
absolute error = 2.8997558448710e-18
relative error = 2.7824986000962272836991953850939e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.988
Order of pole = 2.161
x[1] = -1.711
y[1] (analytic) = -1.0418864870184862359760084715006
y[1] (numeric) = -1.0418864870184862330791960242525
absolute error = 2.8968124472481e-18
relative error = 2.7803532182644592973884194531169e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.987
Order of pole = 2.161
x[1] = -1.71
y[1] (analytic) = -1.0416317625212813763213075488757
y[1] (numeric) = -1.0416317625212813734275932597904
absolute error = 2.8937142890853e-18
relative error = 2.7780588046595584542145892170643e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.986
Order of pole = 2.161
x[1] = -1.709
y[1] (analytic) = -1.0413768159253707000115481919974
y[1] (numeric) = -1.041376815925370697121087735201
absolute error = 2.8904604567964e-18
relative error = 2.7756143718524478440177167898547e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.985
Order of pole = 2.161
x[1] = -1.708
y[1] (analytic) = -1.0411216469733352507802617360203
y[1] (numeric) = -1.0411216469733352478932117033879
absolute error = 2.8870500326324e-18
relative error = 2.7730189272554255653440020603529e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.985
Order of pole = 2.161
x[1] = -1.707
y[1] (analytic) = -1.0408662554074226747393705171791
y[1] (numeric) = -1.0408662554074226718558884225131
absolute error = 2.8834820946660e-18
relative error = 2.7702714730984612299454830617205e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.984
Order of pole = 2.162
x[1] = -1.706
y[1] (analytic) = -1.0406106409695468461979717882109
y[1] (numeric) = -1.0406106409695468433182160714356
absolute error = 2.8797557167753e-18
relative error = 2.7673710064046665604732317073277e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.983
Order of pole = 2.162
x[1] = -1.705
y[1] (analytic) = -1.0403548034012874935538873978328
y[1] (numeric) = -1.0403548034012874906780174292051
absolute error = 2.8758699686277e-18
relative error = 2.7643165189658997063471692078825e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.982
Order of pole = 2.162
x[1] = -1.704
y[1] (analytic) = -1.0400987424438898252612348509983
y[1] (numeric) = -1.040098742443889822389410935334
absolute error = 2.8718239156643e-18
relative error = 2.7611069973187917743223159047429e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.981
Order of pole = 2.162
x[1] = -1.703
y[1] (analytic) = -1.0398424578382641558772944880061
y[1] (numeric) = -1.0398424578382641530096778689226
absolute error = 2.8676166190835e-18
relative error = 2.7577414227199459448074982395453e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.98
Order of pole = 2.162
x[1] = -1.702
y[1] (analytic) = -1.0395859493249855321919667287672
y[1] (numeric) = -1.0395859493249855293287195929418
absolute error = 2.8632471358254e-18
relative error = 2.7542187711218466525213318951913e-16 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=45.7MB, alloc=4.3MB, time=2.64
Complex estimate of poles used
Radius of convergence = 1.979
Order of pole = 2.162
x[1] = -1.701
y[1] (analytic) = -1.0393292166442933594431326239748
y[1] (numeric) = -1.0393292166442933565844181054198
absolute error = 2.8587145185550e-18
relative error = 2.7505380131475555703353980687491e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.979
Order of pole = 2.162
x[1] = -1.7
y[1] (analytic) = -1.0390722595360910276212503379073
y[1] (numeric) = -1.0390722595360910247672325222606
absolute error = 2.8540178156467e-18
relative error = 2.7466981140665981204534179905544e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.978
Order of pole = 2.162
x[1] = -1.699
y[1] (analytic) = -1.0388150777399455378665396584461
y[1] (numeric) = -1.0388150777399455350173835872787
absolute error = 2.8491560711674e-18
relative error = 2.7426980337694432867737137546126e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.977
Order of pole = 2.162
x[1] = -1.698
y[1] (analytic) = -1.038557670995087128962126188953
y[1] (numeric) = -1.0385576709950871261179978640919
absolute error = 2.8441283248611e-18
relative error = 2.7385367267433664526569860866413e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.976
Order of pole = 2.162
x[1] = -1.697
y[1] (analytic) = -1.038300039040408903926536524248
y[1] (numeric) = -1.0383000390404089010876029121164
absolute error = 2.8389336121316e-18
relative error = 2.7342131420464229066915912290374e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.975
Order of pole = 2.162
x[1] = -1.696
y[1] (analytic) = -1.0380421816144664567089554494038
y[1] (numeric) = -1.0380421816144664538753844853767
absolute error = 2.8335709640271e-18
relative error = 2.7297262232831892982522833589445e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.974
Order of pole = 2.162
x[1] = -1.695
y[1] (analytic) = -1.037784098455477498990676025748
y[1] (numeric) = -1.0377840984554774961626366185249
absolute error = 2.8280394072231e-18
relative error = 2.7250749085788070112424095617603e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.973
Order of pole = 2.162
x[1] = -1.694
y[1] (analytic) = -1.0375257893013214870961933436928
y[1] (numeric) = -1.0375257893013214842738553796864
absolute error = 2.8223379640064e-18
relative error = 2.7202581305540230526413940681915e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.973
Order of pole = 2.162
x[1] = -1.693
y[1] (analytic) = -1.0372672538895392490174127271123
y[1] (numeric) = -1.0372672538895392462009470748538
absolute error = 2.8164656522585e-18
relative error = 2.7152748162995910939386114408450e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.972
Order of pole = 2.162
x[1] = -1.692
y[1] (analytic) = -1.0370084919573326115544632693128
y[1] (numeric) = -1.0370084919573326087440417838737
absolute error = 2.8104214854391e-18
relative error = 2.7101238873507063900081549362511e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.971
Order of pole = 2.162
x[1] = -1.691
y[1] (analytic) = -1.0367495032415640275766277665203
y[1] (numeric) = -1.0367495032415640247724232939509
absolute error = 2.8042044725694e-18
relative error = 2.7048042596611850888245135095359e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.97
Order of pole = 2.163
x[1] = -1.69
y[1] (analytic) = -1.0364902874787562034069203915875
y[1] (numeric) = -1.0364902874787562006091067733717
absolute error = 2.7978136182158e-18
relative error = 2.6993148435779661808723420517847e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.969
Order of pole = 2.163
x[1] = -1.689
y[1] (analytic) = -1.0362308444050917263338638186339
y[1] (numeric) = -1.0362308444050917235426158961608
absolute error = 2.7912479224731e-18
relative error = 2.6936545438150679393392942775279e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.968
Order of pole = 2.163
x[1] = -1.688
y[1] (analytic) = -1.0359711737564126922540379689265
y[1] (numeric) = -1.0359711737564126894695315879788
absolute error = 2.7845063809477e-18
relative error = 2.6878222594274803517589077748677e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.967
Order of pole = 2.163
x[1] = -1.687
y[1] (analytic) = -1.0357112752682203334489930998183
y[1] (numeric) = -1.0357112752682203306714051150771
absolute error = 2.7775879847412e-18
relative error = 2.6818168837853794545028448651252e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.967
Order of pole = 2.163
x[1] = -1.686
y[1] (analytic) = -1.0354511486756746465001406023373
y[1] (numeric) = -1.035451148675674643729648881904
absolute error = 2.7704917204333e-18
relative error = 2.6756373045476016122850541639823e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.966
Order of pole = 2.163
x[1] = -1.685
y[1] (analytic) = -1.0351907937135940203452556094
y[1] (numeric) = -1.0351907937135940175820390393347
absolute error = 2.7632165700653e-18
relative error = 2.6692824036356320628064183122359e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.965
Order of pole = 2.163
x[1] = -1.684
y[1] (analytic) = -1.034930210116454864480246345955
y[1] (numeric) = -1.034930210116454861724484834832
absolute error = 2.7557615111230e-18
relative error = 2.6627510572069489463336199985778e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.964
Order of pole = 2.163
x[1] = -1.683
y[1] (analytic) = -1.0346693976183912373098660749934
y[1] (numeric) = -1.0346693976183912345617405584734
absolute error = 2.7481255165200e-18
relative error = 2.6560421356286879889242887409549e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.963
Order of pole = 2.163
x[1] = -1.682
y[1] (analytic) = -1.034408355953194474651064509632
y[1] (numeric) = -1.0344083559531944719107569550515
absolute error = 2.7403075545805e-18
relative error = 2.6491545034507581532573302924222e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.962
Order of pole = 2.163
x[1] = -1.681
y[1] (analytic) = -1.0341470848543128183926966717421
y[1] (numeric) = -1.0341470848543128156603900827191
absolute error = 2.7323065890230e-18
relative error = 2.6420870193797608697167849870983e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.961
Order of pole = 2.163
x[1] = -1.68
y[1] (analytic) = -1.0338855840548510453153283821921
y[1] (numeric) = -1.0338855840548510425912068032498
absolute error = 2.7241215789423e-18
relative error = 2.6348385362511992932957966103974e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.961
Order of pole = 2.164
x[1] = -1.679
y[1] (analytic) = -1.0336238532875700960748988670659
y[1] (numeric) = -1.0336238532875700933591473882725
absolute error = 2.7157514787934e-18
relative error = 2.6274079010034572581409723183307e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.96
Order of pole = 2.164
x[1] = -1.678
y[1] (analytic) = -1.0333618922848867043540223585378
y[1] (numeric) = -1.0333618922848867016468271201639
absolute error = 2.7071952383739e-18
relative error = 2.6197939546502606408995544211193e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.959
Order of pole = 2.164
x[1] = -1.677
y[1] (analytic) = -1.0330997007788730261847320588002
y[1] (numeric) = -1.0330997007788730234862802559936
absolute error = 2.6984518028066e-18
relative error = 2.6119955322532637802652546785548e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.958
Order of pole = 2.164
x[1] = -1.676
y[1] (analytic) = -1.0328372785012562694464914208908
y[1] (numeric) = -1.0328372785012562667569713083676
absolute error = 2.6895201125232e-18
relative error = 2.6040114628956323636035865534863e-16 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=49.5MB, alloc=4.3MB, time=2.86
Complex estimate of poles used
Radius of convergence = 1.957
Order of pole = 2.164
x[1] = -1.675
y[1] (analytic) = -1.0325746251834183235433193818035
y[1] (numeric) = -1.0325746251834183208629202785572
absolute error = 2.6803991032463e-18
relative error = 2.5958405696539126889045371908572e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.956
Order of pole = 2.164
x[1] = -1.674
y[1] (analytic) = -1.0323117405563953892638979612579
y[1] (numeric) = -1.0323117405563953865928102552852
absolute error = 2.6710877059727e-18
relative error = 2.5874816695710901527147145434326e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.955
Order of pole = 2.164
x[1] = -1.673
y[1] (analytic) = -1.0320486243508776088285525142806
y[1] (numeric) = -1.0320486243508776061669676673252
absolute error = 2.6615848469554e-18
relative error = 2.5789335736283196230080157861119e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.955
Order of pole = 2.164
x[1] = -1.672
y[1] (analytic) = -1.0317852762972086961270168976902
y[1] (numeric) = -1.0317852762972086934751274500031
absolute error = 2.6518894476871e-18
relative error = 2.5701950867180388698282476183034e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.954
Order of pole = 2.164
x[1] = -1.671
y[1] (analytic) = -1.0315216961253855671509178800198
y[1] (numeric) = -1.0315216961253855645089174551375
absolute error = 2.6420004248823e-18
relative error = 2.5612650076156559429229019109274e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.953
Order of pole = 2.164
x[1] = -1.67
y[1] (analytic) = -1.0312578835650579706249352917186
y[1] (numeric) = -1.0312578835650579679930186012586
absolute error = 2.6319166904600e-18
relative error = 2.5521421289517471236320468025003e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.952
Order of pole = 2.165
x[1] = -1.669
y[1] (analytic) = -1.0309938383455281188406166780065
y[1] (numeric) = -1.0309938383455281162189795264802
absolute error = 2.6216371515263e-18
relative error = 2.5428252371840872042683706370789e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.951
Order of pole = 2.165
x[1] = -1.668
y[1] (analytic) = -1.0307295601957503186968475808608
y[1] (numeric) = -1.0307295601957503160856868705038
absolute error = 2.6111607103570e-18
relative error = 2.5333131125696086089309364559305e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.95
Order of pole = 2.165
x[1] = -1.667
y[1] (analytic) = -1.0304650488443306029510010396658
y[1] (numeric) = -1.030465048844330600350514775286
absolute error = 2.6004862643798e-18
relative error = 2.5236045291359008484340244851428e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.949
Order of pole = 2.165
x[1] = -1.666
y[1] (analytic) = -1.0302003040195263616848124624
y[1] (numeric) = -1.0302003040195263590951997562432
absolute error = 2.5896127061568e-18
relative error = 2.5136982546529287557977318281859e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.949
Order of pole = 2.165
x[1] = -1.665
y[1] (analytic) = -1.0299353254492459739890486812413
y[1] (numeric) = -1.0299353254492459714105097578739
absolute error = 2.5785389233674e-18
relative error = 2.5035930506050667807793786762999e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.948
Order of pole = 2.165
x[1] = -1.664
y[1] (analytic) = -1.0296701128610484398710627684934
y[1] (numeric) = -1.0296701128610484373037989697038
absolute error = 2.5672637987896e-18
relative error = 2.4932876721615073350168100158794e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.947
Order of pole = 2.165
x[1] = -1.663
y[1] (analytic) = -1.0294046659821430123893490511472
y[1] (numeric) = -1.0294046659821430098335628408638
absolute error = 2.5557862102834e-18
relative error = 2.4827808681486343556193783278272e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.946
Order of pole = 2.165
x[1] = -1.662
y[1] (analytic) = -1.0291389845393888300192357255379
y[1] (numeric) = -1.0291389845393888274751306947654
absolute error = 2.5441050307725e-18
relative error = 2.4720713810206730154021868146569e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.945
Order of pole = 2.165
x[1] = -1.661
y[1] (analytic) = -1.0288730682592945492538755378225
y[1] (numeric) = -1.0288730682592945467216564095959
absolute error = 2.5322191282266e-18
relative error = 2.4611579468308477091305315094082e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.944
Order of pole = 2.166
x[1] = -1.66
y[1] (analytic) = -1.0286069168680179774447181617342
y[1] (numeric) = -1.0286069168680179749245907960905
absolute error = 2.5201273656437e-18
relative error = 2.4500392952024657068495473154971e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.943
Order of pole = 2.166
x[1] = -1.659
y[1] (analytic) = -1.0283405300913657058856711726431
y[1] (numeric) = -1.028340530091365703377842571611
absolute error = 2.5078286010321e-18
relative error = 2.4387141492996343927977484531396e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.943
Order of pole = 2.166
x[1] = -1.658
y[1] (analytic) = -1.0280739076547927431451798867289
y[1] (numeric) = -1.0280739076547927406498581993363
absolute error = 2.4953216873926e-18
relative error = 2.4271812257980975554991723391937e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.942
Order of pole = 2.166
x[1] = -1.657
y[1] (analytic) = -1.0278070492834021486504798064199
y[1] (numeric) = -1.0278070492834021461678743337192
absolute error = 2.4826054727007e-18
relative error = 2.4154392348559961383443866396419e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.941
Order of pole = 2.166
x[1] = -1.656
y[1] (analytic) = -1.0275399547019446665282989885398
y[1] (numeric) = -1.0275399547019446640586201886514
absolute error = 2.4696787998884e-18
relative error = 2.4034868800841638158375493111828e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.94
Order of pole = 2.166
x[1] = -1.655
y[1] (analytic) = -1.0272726236348183597063113302
y[1] (numeric) = -1.0272726236348183572497708233735
absolute error = 2.4565405068265e-18
relative error = 2.3913228585168324352669299456540e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.939
Order of pole = 2.166
x[1] = -1.654
y[1] (analytic) = -1.0270050558060682442796655497461
y[1] (numeric) = -1.0270050558060682418364761234398
absolute error = 2.4431894263063e-18
relative error = 2.3789458605816767736596484255521e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.938
Order of pole = 2.166
x[1] = -1.653
y[1] (analytic) = -1.0267372509393859241469385263886
y[1] (numeric) = -1.0267372509393859217173141403669
absolute error = 2.4296243860217e-18
relative error = 2.3663545700701711419696722637887e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.938
Order of pole = 2.167
x[1] = -1.652
y[1] (analytic) = -1.0264692087581092259198856528828
y[1] (numeric) = -1.026469208758109223504041444332
absolute error = 2.4158442085508e-18
relative error = 2.3535476641073813898546073562975e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.937
Order of pole = 2.167
x[1] = -1.651
y[1] (analytic) = -1.0262009289852218341113849511525
y[1] (numeric) = -1.0262009289852218317095372398143
absolute error = 2.4018477113382e-18
relative error = 2.3405238131223604156146462521258e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.936
Order of pole = 2.167
x[1] = -1.65
y[1] (analytic) = -1.0259324113433529266059959014387
y[1] (numeric) = -1.0259324113433529242183621947621
absolute error = 2.3876337066766e-18
relative error = 2.3272816808177834473880295613704e-16 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=53.4MB, alloc=4.3MB, time=3.09
Complex estimate of poles used
Radius of convergence = 1.935
Order of pole = 2.167
x[1] = -1.649
y[1] (analytic) = -1.0256636555547768104175782417792
y[1] (numeric) = -1.0256636555547768080443772400908
absolute error = 2.3732010016884e-18
relative error = 2.3138199241395039610770288450705e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.934
Order of pole = 2.167
x[1] = -1.648
y[1] (analytic) = -1.025394661341412557738440406758
y[1] (numeric) = -1.0253946613414125553798920084502
absolute error = 2.3585483983078e-18
relative error = 2.3001371932465174769467510346928e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.933
Order of pole = 2.167
x[1] = -1.647
y[1] (analytic) = -1.0251254284248236422845117928801
y[1] (numeric) = -1.025125428424823639940837099618
absolute error = 2.3436746932621e-18
relative error = 2.2862321314800656167088615732233e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.932
Order of pole = 2.167
x[1] = -1.646
y[1] (analytic) = -1.0248559565262175759410576630018
y[1] (numeric) = -1.0248559565262175736124789849479
absolute error = 2.3285786780539e-18
relative error = 2.2721033753335373791246141244998e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.932
Order of pole = 2.167
x[1] = -1.645
y[1] (analytic) = -1.0245862453664455457134802343583
y[1] (numeric) = -1.0245862453664455434002210954161
absolute error = 2.3132591389422e-18
relative error = 2.2577495544212168614910015178048e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.931
Order of pole = 2.168
x[1] = -1.644
y[1] (analytic) = -1.0243162946660020509877743342532
y[1] (numeric) = -1.0243162946660020486900594773291
absolute error = 2.2977148569241e-18
relative error = 2.2431692914475347115616120045602e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.93
Order of pole = 2.168
x[1] = -1.643
y[1] (analytic) = -1.0240461041450245411052309547881
y[1] (numeric) = -1.0240461041450245388232863470713
absolute error = 2.2819446077168e-18
relative error = 2.2283612021765310473146898540157e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.929
Order of pole = 2.168
x[1] = -1.642
y[1] (analytic) = -1.0237756735232930532560070934894
y[1] (numeric) = -1.0237756735232930509900599317509
absolute error = 2.2659471617385e-18
relative error = 2.2133238954001625128785118969394e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.928
Order of pole = 2.168
x[1] = -1.641
y[1] (analytic) = -1.0235050025202298506962054307213
y[1] (numeric) = -1.0235050025202298484464841466308
absolute error = 2.2497212840905e-18
relative error = 2.1980559729076982756087454439886e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.927
Order of pole = 2.168
x[1] = -1.64
y[1] (analytic) = -1.0232340908548990612931326677265
y[1] (numeric) = -1.0232340908548990590598669331883
absolute error = 2.2332657345382e-18
relative error = 2.1825560294539589657339736072369e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.926
Order of pole = 2.168
x[1] = -1.639
y[1] (analytic) = -1.0229629382460063164034307314038
y[1] (numeric) = -1.0229629382460063141868514639113
absolute error = 2.2165792674925e-18
relative error = 2.1668226527278625033655992993367e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.926
Order of pole = 2.168
x[1] = -1.638
y[1] (analytic) = -1.022691544411898390088800543882
y[1] (numeric) = -1.0226915444118983878891399118903
absolute error = 2.1996606319917e-18
relative error = 2.1508544233213749205679852331210e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.925
Order of pole = 2.169
x[1] = -1.637
y[1] (analytic) = -1.0224199090705628386740636569746
y[1] (numeric) = -1.0224199090705628364915550852924
absolute error = 2.1825085716822e-18
relative error = 2.1346499146972039669501559457268e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.924
Order of pole = 2.169
x[1] = -1.636
y[1] (analytic) = -1.0221480319396276406523327640814
y[1] (numeric) = -1.0221480319396276384872109392811
absolute error = 2.1651218248003e-18
relative error = 2.1182076931574830797348703654382e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.923
Order of pole = 2.169
x[1] = -1.635
y[1] (analytic) = -1.0218759127363608369420879254161
y[1] (numeric) = -1.0218759127363608347945888012627
absolute error = 2.1474991241534e-18
relative error = 2.1015263178117837087839004552189e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.922
Order of pole = 2.169
x[1] = -1.634
y[1] (analytic) = -1.0216035511776701715009812769787
y[1] (numeric) = -1.0216035511776701693713420798779
absolute error = 2.1296391971008e-18
relative error = 2.0846043405446502694309272315495e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.921
Order of pole = 2.169
x[1] = -1.633
y[1] (analytic) = -1.0213309469801027323012190398388
y[1] (numeric) = -1.0213309469801027301896782743031
absolute error = 2.1115407655357e-18
relative error = 2.0674403059842231660286875731121e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.921
Order of pole = 2.169
x[1] = -1.632
y[1] (analytic) = -1.0210580998598445926713958044295
y[1] (numeric) = -1.021058099859844590578193258564
absolute error = 2.0932025458655e-18
relative error = 2.0500327514691114788856114362555e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.92
Order of pole = 2.169
x[1] = -1.631
y[1] (analytic) = -1.0207850095327204530096823350723
y[1] (numeric) = -1.0207850095327204509350590860784
absolute error = 2.0746232489939e-18
relative error = 2.0323802070169405234966802686364e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.919
Order of pole = 2.17
x[1] = -1.63
y[1] (analytic) = -1.0205116757141932828732945232312
y[1] (numeric) = -1.0205116757141932808174929429301
absolute error = 2.0558015803011e-18
relative error = 2.0144811952909515335516734625794e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.918
Order of pole = 2.17
x[1] = -1.629
y[1] (analytic) = -1.0202380981193639634491976144342
y[1] (numeric) = -1.0202380981193639614124613748086
absolute error = 2.0367362396256e-18
relative error = 1.9963342315680801343204943484008e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.917
Order of pole = 2.17
x[1] = -1.628
y[1] (analytic) = -1.0199642764629709304110264437729
y[1] (numeric) = -1.0199642764629709283936005225282
absolute error = 2.0174259212447e-18
relative error = 1.9779378237056728891393288626883e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.916
Order of pole = 2.17
x[1] = -1.627
y[1] (analytic) = -1.0196902104593898171672291388033
y[1] (numeric) = -1.0196902104593898151693598249474
absolute error = 1.9978693138559e-18
relative error = 1.9592904721089966218665117707768e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.916
Order of pole = 2.17
x[1] = -1.626
y[1] (analytic) = -1.0194158998226330985054685868957
y[1] (numeric) = -1.019415899822633096527403486338
absolute error = 1.9780651005577e-18
relative error = 1.9403906696980703172995883993174e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.915
Order of pole = 2.17
x[1] = -1.625
y[1] (analytic) = -1.0191413442663497346383429170231
y[1] (numeric) = -1.0191413442663497326803309581925
absolute error = 1.9580119588306e-18
relative error = 1.9212369018746030393683129892468e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.914
Order of pole = 2.171
x[1] = -1.624
y[1] (analytic) = -1.0188665435038248156555133140183
y[1] (numeric) = -1.0188665435038248137178047535002
absolute error = 1.9377085605181e-18
relative error = 1.9018276464888415092448478640434e-16 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=57.2MB, alloc=4.3MB, time=3.32
Complex estimate of poles used
Radius of convergence = 1.913
Order of pole = 2.171
x[1] = -1.623
y[1] (analytic) = -1.0185914972479792063873546668637
y[1] (numeric) = -1.0185914972479792044702010950563
absolute error = 1.9171535718074e-18
relative error = 1.8821613738060323865344881225162e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.912
Order of pole = 2.171
x[1] = -1.622
y[1] (analytic) = -1.018316205211369191685271852
y[1] (numeric) = -1.0183162052113691897889261987893
absolute error = 1.8963456532107e-18
relative error = 1.8622365464733820733464111386295e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.911
Order of pole = 2.171
x[1] = -1.621
y[1] (analytic) = -1.0180406671061861221238518683366
y[1] (numeric) = -1.0180406671061861202485684087915
absolute error = 1.8752834595451e-18
relative error = 1.8420516194855501600260417286696e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.91
Order of pole = 2.171
x[1] = -1.62
y[1] (analytic) = -1.0177648826442560601300495730236
y[1] (numeric) = -1.017764882644256058276083933109
absolute error = 1.8539656399146e-18
relative error = 1.8216050401521123753202552755298e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.91
Order of pole = 2.171
x[1] = -1.619
y[1] (analytic) = -1.0174888515370394265446324164765
y[1] (numeric) = -1.0174888515370394247122415787865
absolute error = 1.8323908376900e-18
relative error = 1.8008952480628686993970447455929e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.909
Order of pole = 2.171
x[1] = -1.618
y[1] (analytic) = -1.0172125734956306476211373420518
y[1] (numeric) = -1.0172125734956306458105796515621
absolute error = 1.8105576904897e-18
relative error = 1.7799206750539415158298117196425e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.908
Order of pole = 2.172
x[1] = -1.617
y[1] (analytic) = -1.0169360482307578024676209005257
y[1] (numeric) = -1.0169360482307578006791560703644
absolute error = 1.7884648301613e-18
relative error = 1.7586797451745666968029453476198e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.907
Order of pole = 2.172
x[1] = -1.616
y[1] (analytic) = -1.016659275452782270936511632536
y[1] (numeric) = -1.0166592754527822691704007497752
absolute error = 1.7661108827608e-18
relative error = 1.7371708746514311064250693361062e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.906
Order of pole = 2.172
x[1] = -1.615
y[1] (analytic) = -1.0163822548716983819679018938144
y[1] (numeric) = -1.0163822548716983802244074252797
absolute error = 1.7434944685347e-18
relative error = 1.7153924718557661454834973568156e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.905
Order of pole = 2.172
x[1] = -1.614
y[1] (analytic) = -1.0161049861971330623916445387347
y[1] (numeric) = -1.0161049861971330606710303368352
absolute error = 1.7206142018995e-18
relative error = 1.6933429372677894930604525442961e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.905
Order of pole = 2.172
x[1] = -1.613
y[1] (analytic) = -1.0158274691383454861936482378634
y[1] (numeric) = -1.0158274691383454844961795464402
absolute error = 1.6974686914232e-18
relative error = 1.6710206634430180326973841953182e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.904
Order of pole = 2.172
x[1] = -1.612
y[1] (analytic) = -1.015549703404226724251793685188
y[1] (numeric) = -1.0155497034042267225777371453829
absolute error = 1.6740565398051e-18
relative error = 1.6484240349768119149983141111871e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.903
Order of pole = 2.173
x[1] = -1.611
y[1] (analytic) = -1.015271688703299394546921550942
y[1] (numeric) = -1.0152716887032993928965452070852
absolute error = 1.6503763438568e-18
relative error = 1.6255514284700024694790502299933e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.902
Order of pole = 2.173
x[1] = -1.61
y[1] (analytic) = -1.0149934247437173128543717568226
y[1] (numeric) = -1.0149934247437173112279450623399
absolute error = 1.6264266944827e-18
relative error = 1.6024012124939308731220179567141e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.901
Order of pole = 2.173
x[1] = -1.609
y[1] (analytic) = -1.0147149112332651439215824923232
y[1] (numeric) = -1.014714911233265142319376315663
absolute error = 1.6022061766602e-18
relative error = 1.5789717475550932630953016035713e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.9
Order of pole = 2.173
x[1] = -1.608
y[1] (analytic) = -1.0144361478793580531372863542673
y[1] (numeric) = -1.0144361478793580515595729848468
absolute error = 1.5777133694205e-18
relative error = 1.5552613860602784449423173407411e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.899
Order of pole = 2.173
x[1] = -1.607
y[1] (analytic) = -1.0141571343890413586978700768424
y[1] (numeric) = -1.0141571343890413571449232310137
absolute error = 1.5529468458287e-18
relative error = 1.5312684722809170053253505431101e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.899
Order of pole = 2.173
x[1] = -1.606
y[1] (analytic) = -1.0138778704689901842764935268911
y[1] (numeric) = -1.0138778704689901827485883539265
absolute error = 1.5279051729646e-18
relative error = 1.5069913423180208605038307610803e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.898
Order of pole = 2.173
x[1] = -1.605
y[1] (analytic) = -1.0135983558255091122005929693204
y[1] (numeric) = -1.0135983558255091106980060574178
absolute error = 1.5025869119026e-18
relative error = 1.4824283240661355555368393518635e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.897
Order of pole = 2.174
x[1] = -1.604
y[1] (analytic) = -1.0133185901645318371434230606528
y[1] (numeric) = -1.0133185901645318356664324429602
absolute error = 1.4769906176926e-18
relative error = 1.4575777371781781454564263872918e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.896
Order of pole = 2.174
x[1] = -1.603
y[1] (analytic) = -1.0130385731916208203353216053524
y[1] (numeric) = -1.0130385731916208188842067660127
absolute error = 1.4511148393397e-18
relative error = 1.4324378930289903934964825896792e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.895
Order of pole = 2.174
x[1] = -1.602
y[1] (analytic) = -1.0127583046119669443004108100369
y[1] (numeric) = -1.0127583046119669428754526902519
absolute error = 1.4249581197850e-18
relative error = 1.4070070946798755329284940336297e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.894
Order of pole = 2.174
x[1] = -1.601
y[1] (analytic) = -1.0124777841303891681244785954202
y[1] (numeric) = -1.0124777841303891667259595995342
absolute error = 1.3985189958860e-18
relative error = 1.3812836368426386881078804466310e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.894
Order of pole = 2.174
x[1] = -1.6
y[1] (analytic) = -1.0121970114513341832598134752381
y[1] (numeric) = -1.012197011451334181888017476842
absolute error = 1.3717959983961e-18
relative error = 1.3552658058426357222468236085769e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.893
Order of pole = 2.174
x[1] = -1.599
y[1] (analytic) = -1.0119159862788760698727965858925
y[1] (numeric) = -1.011915986278876068528008933947
absolute error = 1.3447876519455e-18
relative error = 1.3289518795831012030002644057079e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.892
Order of pole = 2.175
x[1] = -1.598
y[1] (analytic) = -1.0116347083167159537400846505073
y[1] (numeric) = -1.0116347083167159524225921754859
absolute error = 1.3174924750214e-18
relative error = 1.3023401275086818239357050432966e-16 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=61.0MB, alloc=4.3MB, time=3.53
Complex estimate of poles used
Radius of convergence = 1.891
Order of pole = 2.175
x[1] = -1.597
y[1] (analytic) = -1.011353177268181663699247986941
y[1] (numeric) = -1.0113531772681816624093390069931
absolute error = 1.2899089799479e-18
relative error = 1.2754288105685689457736960036421e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.89
Order of pole = 2.175
x[1] = -1.596
y[1] (analytic) = -1.0110713928362273896597581214427
y[1] (numeric) = -1.0110713928362273883977224485765
absolute error = 1.2620356728662e-18
relative error = 1.2482161811798226025575503996957e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.889
Order of pole = 2.175
x[1] = -1.595
y[1] (analytic) = -1.0107893547234333411802501484831
y[1] (numeric) = -1.0107893547234333399463790947681
absolute error = 1.2338710537150e-18
relative error = 1.2207004831907881084241636907378e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.889
Order of pole = 2.175
x[1] = -1.594
y[1] (analytic) = -1.0105070626320054066180156832441
y[1] (numeric) = -1.0105070626320054054126020670339
absolute error = 1.2054136162102e-18
relative error = 1.1928799518437144984430937617698e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.888
Order of pole = 2.175
x[1] = -1.593
y[1] (analytic) = -1.0102245162637748128567130867272
y[1] (numeric) = -1.0102245162637748116800512389016
absolute error = 1.1766618478256e-18
relative error = 1.1647528137382557290184210888210e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.887
Order of pole = 2.176
x[1] = -1.592
y[1] (analytic) = -1.0099417153201977856183126048325
y[1] (numeric) = -1.0099417153201977844706983750602
absolute error = 1.1476142297723e-18
relative error = 1.1363172867935786977656300168161e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.886
Order of pole = 2.176
x[1] = -1.591
y[1] (analytic) = -1.0096586595023552103653251525016
y[1] (numeric) = -1.0096586595023552092470559155224
absolute error = 1.1182692369792e-18
relative error = 1.1075715802114520822707274858906e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.885
Order of pole = 2.176
x[1] = -1.59
y[1] (analytic) = -1.0093753485109522937993946924935
y[1] (numeric) = -1.0093753485109522927107693544204
absolute error = 1.0886253380731e-18
relative error = 1.0785138944388315413286285180035e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.884
Order of pole = 2.176
x[1] = -1.589
y[1] (analytic) = -1.0090917820463182259623655059993
y[1] (numeric) = -1.0090917820463182249036845106409
absolute error = 1.0586809953584e-18
relative error = 1.0491424211299399763334909499477e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.884
Order of pole = 2.176
x[1] = -1.588
y[1] (analytic) = -1.008807959808405842945967129505
y[1] (numeric) = -1.0088079598084058419175324647079
absolute error = 1.0284346647971e-18
relative error = 1.0194553431085354313789412446838e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.883
Order of pole = 2.176
x[1] = -1.587
y[1] (analytic) = -1.0085238814967912902162913394908
y[1] (numeric) = -1.0085238814967912892184065435016
absolute error = 9.978847959892e-19
relative error = 9.8945083433046583793029879057078e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.882
Order of pole = 2.176
x[1] = -1.586
y[1] (analytic) = -1.0082395468106736865592673041213
y[1] (numeric) = -1.008239546810673685592237471969
absolute error = 9.670298321523e-19
relative error = 9.5912705984532065806952875383580e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.881
Order of pole = 2.177
x[1] = -1.585
y[1] (analytic) = -1.0079549554488747886533728894521
y[1] (numeric) = -1.0079549554488747877175046793505
absolute error = 9.358682101016e-19
relative error = 9.2848217575836785244836542226851e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.88
Order of pole = 2.177
x[1] = -1.584
y[1] (analytic) = -1.0076701071098386562758521072564
y[1] (numeric) = -1.0076701071098386553714537470264
absolute error = 9.043983602300e-19
relative error = 8.9751432919247869689278711095486e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.879
Order of pole = 2.177
x[1] = -1.583
y[1] (analytic) = -1.0073850014916313181487408227815
y[1] (numeric) = -1.0073850014916313172761221162937
absolute error = 8.726187064878e-19
relative error = 8.6622165824954376538884829352746e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.879
Order of pole = 2.177
x[1] = -1.582
y[1] (analytic) = -1.0070996382919404384310351039872
y[1] (numeric) = -1.0070996382919404375905074376243
absolute error = 8.405276663629e-19
relative error = 8.3460229197227240088241201981532e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.878
Order of pole = 2.177
x[1] = -1.581
y[1] (analytic) = -1.0068140172080749838633689895111
y[1] (numeric) = -1.006814017208074983055245338651
absolute error = 8.081236508601e-19
relative error = 8.0265435030498558207143753427276e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.877
Order of pole = 2.177
x[1] = -1.58
y[1] (analytic) = -1.0065281379369648915716009811645
y[1] (numeric) = -1.0065281379369648907961959166829
absolute error = 7.754050644816e-19
relative error = 7.7037594405548623734964857140605e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.876
Order of pole = 2.178
x[1] = -1.579
y[1] (analytic) = -1.0062420001751607375357412285954
y[1] (numeric) = -1.0062420001751607367933709233889
absolute error = 7.423703052065e-19
relative error = 7.3776517485582246402363352679406e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.875
Order of pole = 2.178
x[1] = -1.578
y[1] (analytic) = -1.0059556036188334057306841692848
y[1] (numeric) = -1.0059556036188334050216664048141
absolute error = 7.090177644707e-19
relative error = 7.0482013512333282898774901059071e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.874
Order of pole = 2.178
x[1] = -1.577
y[1] (analytic) = -1.0056689479637737579452443166746
y[1] (numeric) = -1.0056689479637737572698984895277
absolute error = 6.753458271469e-19
relative error = 6.7153890802167566879193284568978e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.873
Order of pole = 2.178
x[1] = -1.576
y[1] (analytic) = -1.0053820329053923042860259533815
y[1] (numeric) = -1.0053820329053923036446730818572
absolute error = 6.413528715243e-19
relative error = 6.3791956742144416293204032301940e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.873
Order of pole = 2.178
x[1] = -1.575
y[1] (analytic) = -1.0050948581387188743726906855402
y[1] (numeric) = -1.0050948581387188737656534162522
absolute error = 6.070372692880e-19
relative error = 6.0396017786036601528537514854741e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.872
Order of pole = 2.178
x[1] = -1.574
y[1] (analytic) = -1.0048074233584022892312201487656
y[1] (numeric) = -1.0048074233584022886588227632662
absolute error = 5.723973854994e-19
relative error = 5.6965879450438035226271698234805e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.871
Order of pole = 2.178
x[1] = -1.573
y[1] (analytic) = -1.0045197282587100338918046264291
y[1] (numeric) = -1.0045197282587100333543730478533
absolute error = 5.374315785758e-19
relative error = 5.3501346310780135203756689988624e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.87
Order of pole = 2.179
x[1] = -1.572
memory used=64.8MB, alloc=4.3MB, time=3.76
y[1] (analytic) = -1.004231772533527930698021947339
y[1] (numeric) = -1.0042317725335279301958837470692
absolute error = 5.021382002698e-19
relative error = 5.0002221997316390391468984820691e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.869
Order of pole = 2.179
x[1] = -1.571
y[1] (analytic) = -1.0039435558763598133340047729067
y[1] (numeric) = -1.0039435558763598128674891772571
absolute error = 4.665155956496e-19
relative error = 4.6468309191184599248975353295563e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.868
Order of pole = 2.179
x[1] = -1.57
y[1] (analytic) = -1.0036550779803272015763282638849
y[1] (numeric) = -1.0036550779803272011457661608065
absolute error = 4.305621030784e-19
relative error = 4.2899409620367557626162894777987e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.868
Order of pole = 2.179
x[1] = -1.569
y[1] (analytic) = -1.0033663385381689767773841342047
y[1] (numeric) = -1.0033663385381689763831080800106
absolute error = 3.942760541941e-19
relative error = 3.9295324055671554391755477759858e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.867
Order of pole = 2.179
x[1] = -1.568
y[1] (analytic) = -1.0030773372422410580870412547239
y[1] (numeric) = -1.0030773372422410577293854808349
absolute error = 3.576557738890e-19
relative error = 3.5655852306692767608836399591054e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.866
Order of pole = 2.179
x[1] = -1.567
y[1] (analytic) = -1.0027880737845160794194272632517
y[1] (numeric) = -1.0027880737845160790987276829619
absolute error = 3.206995802898e-19
relative error = 3.1980793217801418234505688810746e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.865
Order of pole = 2.18
x[1] = -1.566
y[1] (analytic) = -1.0024985478565830671717000694497
y[1] (numeric) = -1.0024985478565830668882942847123
absolute error = 2.834057847374e-19
relative error = 2.8269944664093806502899889976476e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.864
Order of pole = 2.18
x[1] = -1.565
y[1] (analytic) = -1.0022087591496471187017127145426
y[1] (numeric) = -1.0022087591496471184559400227768
absolute error = 2.457726917658e-19
relative error = 2.4523103547242284890598767615882e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.863
Order of pole = 2.18
x[1] = -1.564
y[1] (analytic) = -1.001918707354529081571509756627
y[1] (numeric) = -1.0019187073545290813637111575445
absolute error = 2.077985990825e-19
relative error = 2.0740065791482465576134844938833e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.863
Order of pole = 2.18
x[1] = -1.563
y[1] (analytic) = -1.0016283921616652335636282031507
y[1] (numeric) = -1.0016283921616652333941464056024
absolute error = 1.694817975483e-19
relative error = 1.6920626339528245911361193518090e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.862
Order of pole = 2.18
x[1] = -1.562
y[1] (analytic) = -1.0013378132611069634772110032747
y[1] (numeric) = -1.0013378132611069633463904321184
absolute error = 1.308205711563e-19
relative error = 1.3064579148394496323145469606251e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.861
Order of pole = 2.18
x[1] = -1.561
y[1] (analytic) = -1.0010469703425204527109762447437
y[1] (numeric) = -1.0010469703425204526191630477317
absolute error = 9.18131970120e-20
relative error = 9.1717171853169879506734678809216e-18 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.86
Order of pole = 2.18
x[1] = -1.56
y[1] (analytic) = -1.0007558630951863576401204729864
y[1] (numeric) = -1.0007558630951863575876625276731
absolute error = 5.24579453133e-20
relative error = 5.2418324236498118465011576117581e-18 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.859
Order of pole = 2.18
x[1] = -1.559
y[1] (analytic) = -1.0004644912079994927942699648733
y[1] (numeric) = -1.0004644912079994927815168855441
absolute error = 1.27530793292e-20
relative error = 1.2747158386202631874419646661317e-18 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.858
Order of pole = 2.181
x[1] = -1.558
y[1] (analytic) = -1.0001728543694685148436293462945
y[1] (numeric) = -1.0001728543694685148709324909139
absolute error = 2.73031446194e-20
relative error = 2.7298425967191958101607126035714e-18 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.858
Order of pole = 2.181
x[1] = -1.557
y[1] (analytic) = -0.99988095226771560740051264188759
y[1] (numeric) = -0.9998809522677156074682251190686
absolute error = 6.771247718101e-20
relative error = 6.7720539157625791761183595816441e-18 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.857
Order of pole = 2.181
x[1] = -1.556
y[1] (analytic) = -0.99958878459047616664347768728934
y[1] (numeric) = -0.99958878459047616675195436328263
absolute error = 1.0847667599329e-19
relative error = 1.0852130162477969322376818501740e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.856
Order of pole = 2.181
x[1] = -1.555
y[1] (analytic) = -0.99929635102509848777132081959536
y[1] (numeric) = -0.99929635102509848792091832529895
absolute error = 1.4959750570359e-19
relative error = 1.4970284395627967724024178454776e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.855
Order of pole = 2.181
x[1] = -1.554
y[1] (analytic) = -0.99900365125854345229422489073047
y[1] (numeric) = -0.99900365125854345248530162871981
absolute error = 1.9107673798934e-19
relative error = 1.9126730692988137052897451926449e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.854
Order of pole = 2.181
x[1] = -1.553
y[1] (analytic) = -0.99871068497738421616938992156386
y[1] (numeric) = -0.99871068497738421640230607314218
absolute error = 2.3291615157832e-19
relative error = 2.3321684155566472353730805920581e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.853
Order of pole = 2.181
x[1] = -1.552
y[1] (analytic) = -0.99841745186780589878851213227124
y[1] (numeric) = -0.99841745186780589906362966454028
absolute error = 2.7511753226904e-19
relative error = 2.7555360911846977780292021579142e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.853
Order of pole = 2.182
x[1] = -1.551
y[1] (analytic) = -0.99812395161560527282451364706925
y[1] (numeric) = -0.99812395161560527314219632002035
absolute error = 3.1768267295110e-19
relative error = 3.1827978122044412142080936946625e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.852
Order of pole = 2.182
x[1] = -1.55
y[1] (analytic) = -0.9978301839061904549449618794427
y[1] (numeric) = -0.99783018390619045530557525306821
absolute error = 3.6061337362551e-19
relative error = 3.6139753982368260248466254707868e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.851
Order of pole = 2.182
x[1] = -1.549
y[1] (analytic) = -0.99753614842458059739965445777235
y[1] (numeric) = -0.99753614842458059780356589919735
absolute error = 4.0391144142500e-19
relative error = 4.0490907729298994994455024541618e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.85
Order of pole = 2.182
x[1] = -1.548
y[1] (analytic) = -0.99724184485540558048988255126777
y[1] (numeric) = -0.99724184485540558093746124190221
absolute error = 4.4757869063444e-19
relative error = 4.4881659643888727435879663830843e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.849
Order of pole = 2.182
x[1] = -1.547
y[1] (analytic) = -0.99694727288290570592692260273558
y[1] (numeric) = -0.99694727288290570641853954544667
absolute error = 4.9161694271109e-19
relative error = 4.9312231056058248413181250077702e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.848
Order of pole = 2.182
memory used=68.6MB, alloc=4.3MB, time=3.98
x[1] = -1.546
y[1] (analytic) = -0.99665243219093139108734376838494
y[1] (numeric) = -0.99665243219093139162337179468994
absolute error = 5.3602802630500e-19
relative error = 5.3782844348922600844891253091782e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.848
Order of pole = 2.182
x[1] = -1.545
y[1] (analytic) = -0.9963573224629428641727558060101
y[1] (numeric) = -0.99635732246294286475356958328936
absolute error = 5.8081377727926e-19
relative error = 5.8293722963115171374394052083119e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.847
Order of pole = 2.182
x[1] = -1.544
y[1] (analytic) = -0.99606194338200986028165974190967
y[1] (numeric) = -0.99606194338200986090763578064006
absolute error = 6.2597603873039e-19
relative error = 6.2845091401139452443132426461341e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.846
Order of pole = 2.183
x[1] = -1.543
y[1] (analytic) = -0.99576629463081131840110138422489
y[1] (numeric) = -0.99576629463081131907261804523349
absolute error = 6.7151666100860e-19
relative error = 6.7437175231721457106110570860871e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.845
Order of pole = 2.183
x[1] = -1.542
y[1] (analytic) = -0.99547037589163507932586563642001
y[1] (numeric) = -0.99547037589163508004330313815813
absolute error = 7.1743750173812e-19
relative error = 7.2070201094182918834080948695685e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.844
Order of pole = 2.183
x[1] = -1.541
y[1] (analytic) = -0.9951741868463775845129875998069
y[1] (numeric) = -0.99517418684637758527672802564438
absolute error = 7.6374042583748e-19
relative error = 7.6744396702823301421282971563072e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.843
Order of pole = 2.183
x[1] = -1.54
y[1] (analytic) = -0.99487772717654357587939463874932
y[1] (numeric) = -0.99487772717654357668982194428914
absolute error = 8.1042730553982e-19
relative error = 8.1459990851318718811769539885711e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.843
Order of pole = 2.183
x[1] = -1.539
y[1] (analytic) = -0.99458099656324579655053191688854
y[1] (numeric) = -0.99458099656324579740803193730166
absolute error = 8.5750002041312e-19
relative error = 8.6217213417126780645327370231782e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.842
Order of pole = 2.183
x[1] = -1.538
y[1] (analytic) = -0.99428399468720469256786239782779
y[1] (numeric) = -0.99428399468720469347282285520832
absolute error = 9.0496045738053e-19
relative error = 9.1016295365915520032398576487820e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.841
Order of pole = 2.183
x[1] = -1.537
y[1] (analytic) = -0.99398672122874811556317093961612
y[1] (numeric) = -0.9939867212287481165159814503567
absolute error = 9.5281051074058e-19
relative error = 9.5857468755994361678611151251842e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.84
Order of pole = 2.183
x[1] = -1.536
y[1] (analytic) = -0.99368917586781102640764089949904
y[1] (numeric) = -0.99368917586781102740869298168646
absolute error = 1.00105208218742e-18
relative error = 1.0074096674276227095828578113088e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.839
Order of pole = 2.183
x[1] = -1.535
y[1] (analytic) = -0.99339135828393519984371060417091
y[1] (numeric) = -0.993391358283935200893397685002
absolute error = 1.04968708083109e-18
relative error = 1.0566702358317316118832357218698e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.838
Order of pole = 2.183
x[1] = -1.534
y[1] (analytic) = -0.99309326815626893010775613158899
y[1] (numeric) = -0.9930932681562689312064735548067
absolute error = 1.09871742321771e-18
relative error = 1.1063587464020756028167833246321e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.838
Order of pole = 2.184
x[1] = -1.533
y[1] (analytic) = -0.99279490516356673755168609370703
y[1] (numeric) = -0.99279490516356673869983112705671
absolute error = 1.14814503334968e-18
relative error = 1.1564775638735965690974956595543e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.837
Order of pole = 2.184
x[1] = -1.532
y[1] (analytic) = -0.99249626898418907627157350567385
y[1] (numeric) = -0.99249626898418907746954534837972
absolute error = 1.19797184270587e-18
relative error = 1.2070290641313778525357612471240e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.836
Order of pole = 2.184
x[1] = -1.531
y[1] (analytic) = -0.99219735929610204275148937653489
y[1] (numeric) = -0.99219735929610204399968916679669
absolute error = 1.24819979026180e-18
relative error = 1.2580156342557841870687258775899e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.835
Order of pole = 2.184
x[1] = -1.53
y[1] (analytic) = -0.99189817577687708553074235968741
y[1] (numeric) = -0.9918981757768770868295731821972
absolute error = 1.29883082250979e-18
relative error = 1.3094396725677172694639369014948e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.834
Order of pole = 2.184
x[1] = -1.529
y[1] (analytic) = -0.99159871810369071590276865868826
y[1] (numeric) = -0.99159871810369071725263555216736
absolute error = 1.34986689347910e-18
relative error = 1.3613035886740078019437132978283e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.833
Order of pole = 2.184
x[1] = -1.528
y[1] (analytic) = -0.9912989859533242196539563959113
y[1] (numeric) = -0.99129898595332422105526636066732
absolute error = 1.40130996475602e-18
relative error = 1.4136098035129043707947283048618e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.833
Order of pole = 2.184
x[1] = -1.527
y[1] (analytic) = -0.99099897900216336985072881841382
y[1] (numeric) = -0.99099897900216337130389082391786
absolute error = 1.45316200550404e-18
relative error = 1.4663607493997909753290032157462e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.832
Order of pole = 2.184
x[1] = -1.526
y[1] (analytic) = -0.99069869692619814068325103761255
y[1] (numeric) = -0.99069869692619814218867603009639
absolute error = 1.50542499248384e-18
relative error = 1.5195588700728716815427850420889e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.831
Order of pole = 2.184
x[1] = -1.525
y[1] (analytic) = -0.99039813940102242237416547740178
y[1] (numeric) = -0.9903981394010224239322663874752
absolute error = 1.55810091007342e-18
relative error = 1.5732066207391458659193953597859e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.83
Order of pole = 2.184
x[1] = -1.524
y[1] (analytic) = -0.99009730610183373716080183958421
y[1] (numeric) = -0.9900973061018337387719935898723
absolute error = 1.61119175028809e-18
relative error = 1.6273064681203923009617351816590e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.829
Order of pole = 2.184
x[1] = -1.523
y[1] (analytic) = -0.98979619670343295635934818633987
y[1] (numeric) = -0.98979619670343295802404769914035
absolute error = 1.66469951280048e-18
relative error = 1.6818608904993241877552077497863e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.828
Order of pole = 2.185
x[1] = -1.522
y[1] (analytic) = -0.98949481088022401851951068734359
y[1] (numeric) = -0.98949481088022402023813689230419
absolute error = 1.71862620496060e-18
relative error = 1.7368723777659462569463311882731e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.828
Order of pole = 2.185
x[1] = -1.521
y[1] (analytic) = -0.98919314830621364867823068446841
y[1] (numeric) = -0.98919314830621365045120452628411
absolute error = 1.77297384181570e-18
relative error = 1.7923434314638620790031902852358e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.827
Order of pole = 2.185
memory used=72.4MB, alloc=4.3MB, time=4.21
x[1] = -1.52
y[1] (analytic) = -0.9888912086550110787210689901915
y[1] (numeric) = -0.98889120865501108054881343632181
absolute error = 1.82774444613031e-18
relative error = 1.8482765648369161893603363054775e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.826
Order of pole = 2.185
x[1] = -1.519
y[1] (analytic) = -0.98858899159982776885990875726318
y[1] (numeric) = -0.98858899159982777074284880566923
absolute error = 1.88294004840605e-18
relative error = 1.9046743028757574567217007483834e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.825
Order of pole = 2.185
x[1] = -1.518
y[1] (analytic) = -0.9882864968134771302356698373165
y[1] (numeric) = -0.98828649681347713217423252421812
absolute error = 1.93856268690162e-18
relative error = 1.9615391823647388328628038048649e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.824
Order of pole = 2.185
x[1] = -1.517
y[1] (analytic) = -0.98798372396837424865476928529662
y[1] (numeric) = -0.98798372396837425064938369294921
absolute error = 1.99461440765259e-18
relative error = 2.0188737519287700323248566785629e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.823
Order of pole = 2.185
x[1] = -1.516
y[1] (analytic) = -0.98768067273653560946810456528295
y[1] (numeric) = -0.98768067273653561151920182977417
absolute error = 2.05109726449122e-18
relative error = 2.0766805720803563615470068385480e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.823
Order of pole = 2.185
x[1] = -1.515
y[1] (analytic) = -0.98737734278957882360137807187295
y[1] (numeric) = -0.98737734278957882570939139093926
absolute error = 2.10801331906631e-18
relative error = 2.1349622152668245506855357632700e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.822
Order of pole = 2.185
x[1] = -1.514
y[1] (analytic) = -0.98707373379872235474562380020178
y[1] (numeric) = -0.9870737337987223569109884410647
absolute error = 2.16536464086292e-18
relative error = 2.1937212659175743508826247508058e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.821
Order of pole = 2.185
x[1] = -1.513
y[1] (analytic) = -0.98676984543478524771683937729389
y[1] (numeric) = -0.98676984543478524993999268451601
absolute error = 2.22315330722212e-18
relative error = 2.2529603204915185556353166326987e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.82
Order of pole = 2.185
x[1] = -1.512
y[1] (analytic) = -0.98646567736818685799366920818855
y[1] (numeric) = -0.98646567736818686027505061154926
absolute error = 2.28138140336071e-18
relative error = 2.3126819875246514891918986440706e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.819
Order of pole = 2.185
x[1] = -1.511
y[1] (analytic) = -0.98616122926894658244212719255684
y[1] (numeric) = -0.98616122926894658478217821494769
absolute error = 2.34005102239085e-18
relative error = 2.3728888876776858595646389665985e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.818
Order of pole = 2.185
x[1] = -1.51
y[1] (analytic) = -0.98585650080668359123639033173802
y[1] (numeric) = -0.98585650080668359363555459707772
absolute error = 2.39916426533970e-18
relative error = 2.4335836537838600228242745386540e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.818
Order of pole = 2.185
x[1] = -1.509
y[1] (analytic) = -0.98555149165061656098473757267363
y[1] (numeric) = -0.98555149165061656344346081384267
absolute error = 2.45872324116904e-18
relative error = 2.4947689308968860539507799085391e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.817
Order of pole = 2.186
x[1] = -1.508
y[1] (analytic) = -0.98524620146956340906975142451197
y[1] (numeric) = -0.98524620146956341158848149130677
absolute error = 2.51873006679480e-18
relative error = 2.5564473763389683497585516048640e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.816
Order of pole = 2.186
x[1] = -1.507
y[1] (analytic) = -0.98494062993194102921194323609649
y[1] (numeric) = -0.98494062993194103179113010320307
absolute error = 2.57918686710658e-18
relative error = 2.6186216597489746108309372734870e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.815
Order of pole = 2.186
x[1] = -1.506
y[1] (analytic) = -0.9846347767057650282660065385424
y[1] (numeric) = -0.98463477670576503090610231352956
absolute error = 2.64009577498716e-18
relative error = 2.6812944631307600062249196219686e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.814
Order of pole = 2.186
x[1] = -1.505
y[1] (analytic) = -0.98432864145864946425894653704764
y[1] (numeric) = -0.98432864145864946696040546837953
absolute error = 2.70145893133189e-18
relative error = 2.7444684809015335779089118047396e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.813
Order of pole = 2.186
x[1] = -1.504
y[1] (analytic) = -0.98402222385780658567937768037798
y[1] (numeric) = -0.98402222385780658844265616544614
absolute error = 2.76327848506816e-18
relative error = 2.8081464199404707015677804699891e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.813
Order of pole = 2.186
x[1] = -1.503
y[1] (analytic) = -0.9837155235700465720273252455123
y[1] (numeric) = -0.98371552357004657485288183868696
absolute error = 2.82555659317466e-18
relative error = 2.8723309996372778189136590316456e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.812
Order of pole = 2.186
x[1] = -1.502
y[1] (analytic) = -0.98340854026177727563391104913087
y[1] (numeric) = -0.98340854026177727852220646983164
absolute error = 2.88829542070077e-18
relative error = 2.9370249519410555552141655669615e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.811
Order of pole = 2.186
x[1] = -1.501
y[1] (analytic) = -0.98310127359900396476034773737684
y[1] (numeric) = -0.98310127359900396771184487816263
absolute error = 2.95149714078579e-18
relative error = 3.0022310214091663728823194317001e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.81
Order of pole = 2.186
x[1] = -1.5
y[1] (analytic) = -0.98279372324732906798571061101467
y[1] (numeric) = -0.98279372324732907100087454569285
absolute error = 3.01516393467818e-18
relative error = 3.0679519652562802334953811947806e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.809
Order of pole = 2.186
x[1] = -1.499
y[1] (analytic) = -0.98248588887195191989300061514712
y[1] (numeric) = -0.98248588887195192297229860690185
absolute error = 3.07929799175473e-18
relative error = 3.1341905534035177201947725587566e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.808
Order of pole = 2.186
x[1] = -1.498
y[1] (analytic) = -0.98217777013766850806305696142897
y[1] (numeric) = -0.98217777013766851120695847096862
absolute error = 3.14390150953965e-18
relative error = 3.2009495685276811432167806311019e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.808
Order of pole = 2.186
x[1] = -1.497
y[1] (analytic) = -0.98186936670887122138592285662624
y[1] (numeric) = -0.98186936670887122459489955034995
absolute error = 3.20897669372371e-18
relative error = 3.2682318061107067147565766047198e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.807
Order of pole = 2.186
x[1] = -1.496
y[1] (analytic) = -0.98156067824954859969931298480788
y[1] (numeric) = -0.98156067824954860297383874299108
absolute error = 3.27452575818320e-18
relative error = 3.3360400744891044533779216866359e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.806
Order of pole = 2.186
x[1] = -1.495
y[1] (analytic) = -0.98125170442328508476387673181458
y[1] (numeric) = -0.98125170442328508810442765681356
absolute error = 3.34055092499898e-18
relative error = 3.4043771949036614467749191975795e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.805
Order of pole = 2.186
memory used=76.2MB, alloc=4.3MB, time=4.43
x[1] = -1.494
y[1] (analytic) = -0.98094244489326077258499665031969
y[1] (numeric) = -0.98094244489326077599205107479502
absolute error = 3.40705442447533e-18
relative error = 3.4732460015491139185312772831495e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.804
Order of pole = 2.186
x[1] = -1.493
y[1] (analytic) = -0.98063289932225116709090734216865
y[1] (numeric) = -0.98063289932225117056494583732751
absolute error = 3.47403849515886e-18
relative error = 3.5426493416240536664554777443088e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.803
Order of pole = 2.186
x[1] = -1.492
y[1] (analytic) = -0.98032306737262693517696578214744
y[1] (numeric) = -0.98032306737262693871847116600474
absolute error = 3.54150538385730e-18
relative error = 3.6125900753808862809917912084207e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.803
Order of pole = 2.186
x[1] = -1.491
y[1] (analytic) = -0.98001294870635366312595012427394
y[1] (numeric) = -0.98001294870635366673540746993223
absolute error = 3.60945734565829e-18
relative error = 3.6830710761759642116380205078662e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.802
Order of pole = 2.186
x[1] = -1.49
y[1] (analytic) = -0.9797025429849916144143102185174
y[1] (numeric) = -0.97970254298499161809220686246542
absolute error = 3.67789664394802e-18
relative error = 3.7540952305197424691639687417919e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.801
Order of pole = 2.186
x[1] = -1.489
y[1] (analytic) = -0.97939184986969548891433942291502
y[1] (numeric) = -0.97939184986969549266116497334495
absolute error = 3.74682555042993e-18
relative error = 3.8256654381271719429689665122346e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.8
Order of pole = 2.186
x[1] = -1.488
y[1] (analytic) = -0.97908086902121418350228382375771
y[1] (numeric) = -0.97908086902121418731853016890099
absolute error = 3.81624634514328e-18
relative error = 3.8977846119681373142930135077148e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.799
Order of pole = 2.186
x[1] = -1.487
y[1] (analytic) = -0.97876960009989055408245167524115
y[1] (numeric) = -0.97876960009989055796861299172279
absolute error = 3.88616131648164e-18
relative error = 3.9704556783179912640656180395440e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.798
Order of pole = 2.186
x[1] = -1.486
y[1] (analytic) = -0.97845804276566117903743274010727
y[1] (numeric) = -0.97845804276566118299400550131862
absolute error = 3.95657276121135e-18
relative error = 4.0436815768082368076127072880973e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.798
Order of pole = 2.186
x[1] = -1.485
y[1] (analytic) = -0.97814619667805612411458425471556
y[1] (numeric) = -0.97814619667805612814206723920551
absolute error = 4.02748298448995e-18
relative error = 4.1174652604773586057112010134162e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.797
Order of pole = 2.186
x[1] = -1.484
y[1] (analytic) = -0.9778340614961987087589874560637
y[1] (numeric) = -0.97783406149619871285788175594818
absolute error = 4.09889429988448e-18
relative error = 4.1918096958217018394186082372359e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.796
Order of pole = 2.186
x[1] = -1.483
y[1] (analytic) = -0.97752163687880527390312599490091
y[1] (numeric) = -0.97752163687880527807393502429064
absolute error = 4.17080902938973e-18
relative error = 4.2667178628464811185763235512216e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.795
Order of pole = 2.186
x[1] = -1.482
y[1] (analytic) = -0.97720892248418495122358511862289
y[1] (numeric) = -0.97720892248418495546681462206934
absolute error = 4.24322950344645e-18
relative error = 4.3421927551169304742188020432684e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.794
Order of pole = 2.186
x[1] = -1.481
y[1] (analytic) = -0.97689591797023943387511824048
y[1] (numeric) = -0.97689591797023943819127630143948
absolute error = 4.31615806095948e-18
relative error = 4.4182373798095543333995654664383e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.793
Order of pole = 2.186
x[1] = -1.48
y[1] (analytic) = -0.97658262299446274871247541814507
y[1] (numeric) = -0.97658262299446275310207246746086
absolute error = 4.38959704931579e-18
relative error = 4.4948547577634699939716844282946e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.793
Order of pole = 2.186
x[1] = -1.479
y[1] (analytic) = -0.97626903721394103001043634524673
y[1] (numeric) = -0.97626903721394103447398516964922
absolute error = 4.46354882440249e-18
relative error = 4.5720479235319037962918696901639e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.792
Order of pole = 2.186
x[1] = -1.478
y[1] (analytic) = -0.97595516028535229469253871445058
y[1] (numeric) = -0.97595516028535229923055446507526
absolute error = 4.53801575062468e-18
relative error = 4.6498199254337086699458630584183e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.791
Order of pole = 2.186
x[1] = -1.477
y[1] (analytic) = -0.97564099186496621907904124043354
y[1] (numeric) = -0.97564099186496622369204144135689
absolute error = 4.61300020092335e-18
relative error = 4.7281738256051188842657536592473e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.79
Order of pole = 2.186
x[1] = -1.476
y[1] (analytic) = -0.97532653160864391716470923601568
y[1] (numeric) = -0.97532653160864392185321379280879
absolute error = 4.68850455679311e-18
relative error = 4.8071127000515175117167220991017e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.789
Order of pole = 2.186
x[1] = -1.475
y[1] (analytic) = -0.9750117791718377204370594151553
y[1] (numeric) = -0.97501177917183772520159062345518
absolute error = 4.76453120829988e-18
relative error = 4.8866396386993505069116995568592e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.788
Order of pole = 2.186
x[1] = -1.474
y[1] (analytic) = -0.97469673420959095924574955284289
y[1] (numeric) = -0.97469673420959096408683210694135
absolute error = 4.84108255409846e-18
relative error = 4.9667577454481062001694108905774e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.788
Order of pole = 2.186
x[1] = -1.473
y[1] (analytic) = -0.97438139637653774573384776451211
y[1] (numeric) = -0.97438139637653775065200876596223
absolute error = 4.91816100145012e-18
relative error = 5.0474701382225045812500151012199e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.787
Order of pole = 2.186
x[1] = -1.472
y[1] (analytic) = -0.97406576532690275834176547678335
y[1] (numeric) = -0.97406576532690276333753444302333
absolute error = 4.99576896623998e-18
relative error = 5.1287799490246612740115128621881e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.786
Order of pole = 2.186
x[1] = -1.471
y[1] (analytic) = -0.9737498407145010278946876475282
y[1] (numeric) = -0.97374984071450103296859652052258
absolute error = 5.07390887299438e-18
relative error = 5.2106903239864320875994097943873e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.785
Order of pole = 2.186
x[1] = -1.47
y[1] (analytic) = -0.9734336221927377252843834567511
y[1] (numeric) = -0.97343362219273773043696661164931
absolute error = 5.15258315489821e-18
relative error = 5.2932044234219082890527330788934e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.784
Order of pole = 2.186
x[1] = -1.469
y[1] (analytic) = -0.97311710941460795075633053098479
y[1] (numeric) = -0.97311710941460795598812478479679
absolute error = 5.23179425381200e-18
relative error = 5.3763254218798579711696630741334e-16 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=80.1MB, alloc=4.3MB, time=4.66
Complex estimate of poles used
Radius of convergence = 1.783
Order of pole = 2.186
x[1] = -1.468
y[1] (analytic) = -0.9728003020326965248131357831437
y[1] (numeric) = -0.97280030203269653012468040343282
absolute error = 5.31154462028912e-18
relative error = 5.4600565081964737372158324791870e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.783
Order of pole = 2.186
x[1] = -1.467
y[1] (analytic) = -0.97248319969917778074528614742996
y[1] (numeric) = -0.9724831996991777861371228610227
absolute error = 5.39183671359274e-18
relative error = 5.5444008855480680579658040098903e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.782
Order of pole = 2.186
x[1] = -1.466
y[1] (analytic) = -0.97216580206581535880031286529028
y[1] (numeric) = -0.97216580206581536427298586700304
absolute error = 5.47267300171276e-18
relative error = 5.6293617715039327573381395471675e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.781
Order of pole = 2.186
x[1] = -1.465
y[1] (analytic) = -0.97184810878396200200150353393055
y[1] (numeric) = -0.9718481087839620075555594953132
absolute error = 5.55405596138265e-18
relative error = 5.7149423980793018287982065750201e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.78
Order of pole = 2.186
x[1] = -1.464
y[1] (analytic) = -0.97153011950455935362734686385622
y[1] (numeric) = -0.97153011950455935926333494195238
absolute error = 5.63598807809616e-18
relative error = 5.8011460117883772144733633960327e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.779
Order of pole = 2.186
x[1] = -1.463
y[1] (analytic) = -0.97121183387813775636294600666706
y[1] (numeric) = -0.97121183387813776208141785279107
absolute error = 5.71847184612401e-18
relative error = 5.8879758736975315216861581587595e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.779
Order of pole = 2.186
x[1] = -1.462
y[1] (analytic) = -0.97089325155481605313468740924006
y[1] (numeric) = -0.97089325155481605893619717777044
absolute error = 5.80150976853038e-18
relative error = 5.9754352594785032588245791497529e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.778
Order of pole = 2.186
x[1] = -1.461
y[1] (analytic) = -0.97057437218430138963950342582549
y[1] (numeric) = -0.9705743721843013955246077830149
absolute error = 5.88510435718941e-18
relative error = 6.0635274594618015146848552946219e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.777
Order of pole = 2.186
x[1] = -1.46
y[1] (analytic) = -0.97025519541588901858011837580081
y[1] (numeric) = -0.97025519541588902454937650860232
absolute error = 5.96925813280151e-18
relative error = 6.1522557786901150085021767010092e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.776
Order of pole = 2.185
x[1] = -1.459
y[1] (analytic) = -0.96993572089846210561771937221262
y[1] (numeric) = -0.96993572089846211167169299712227
absolute error = 6.05397362490965e-18
relative error = 6.2416235369719013694011685608915e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.775
Order of pole = 2.185
x[1] = -1.458
y[1] (analytic) = -0.96961594828049153705354506512571
y[1] (numeric) = -0.96961594828049154319279843704114
absolute error = 6.13925337191543e-18
relative error = 6.3316340689349513751436808846634e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.774
Order of pole = 2.185
x[1] = -1.457
y[1] (analytic) = -0.9692958772100357292509374445245
y[1] (numeric) = -0.96929587721003573547603736561971
absolute error = 6.22509992109521e-18
relative error = 6.4222907240802175456960913401441e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.774
Order of pole = 2.185
x[1] = -1.456
y[1] (analytic) = -0.96897550733474043980945403040919
y[1] (numeric) = -0.96897550733474044612096985902516
absolute error = 6.31151582861597e-18
relative error = 6.5135968668355677230280912386969e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.773
Order of pole = 2.185
x[1] = -1.455
y[1] (analytic) = -0.96865483830183858050269014312584
y[1] (numeric) = -0.96865483830183858690119380267701
absolute error = 6.39850365955117e-18
relative error = 6.6055558766097427892812653182448e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.772
Order of pole = 2.185
x[1] = -1.454
y[1] (analytic) = -0.96833386975815003199151349519579
y[1] (numeric) = -0.96833386975815003847757948309226
absolute error = 6.48606598789647e-18
relative error = 6.6981711478463750088820224025002e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.771
Order of pole = 2.185
x[1] = -1.453
y[1] (analytic) = -0.96801260135008146032446607729074
y[1] (numeric) = -0.96801260135008146689867147387606
absolute error = 6.57420539658532e-18
relative error = 6.7914460900780780591001635598513e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.77
Order of pole = 2.185
x[1] = -1.452
y[1] (analytic) = -0.96769103272362613523714122585889
y[1] (numeric) = -0.96769103272362614190006570336336
absolute error = 6.66292447750447e-18
relative error = 6.8853841279806611805473468132309e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.769
Order of pole = 2.185
x[1] = -1.451
y[1] (analytic) = -0.96736916352436375026239685856708
y[1] (numeric) = -0.96736916352436375701462269007639
absolute error = 6.75222583150931e-18
relative error = 6.9799887014273752984313228803727e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.769
Order of pole = 2.185
x[1] = -1.45
y[1] (analytic) = -0.96704699339746024466331914650202
y[1] (numeric) = -0.96704699339746025150543121494119
absolute error = 6.84211206843917e-18
relative error = 7.0752632655433262191217580031284e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.768
Order of pole = 2.185
x[1] = -1.449
y[1] (analytic) = -0.96672452198766762720090435928831
y[1] (numeric) = -0.96672452198766763413349016642079
absolute error = 6.93258580713248e-18
relative error = 7.1712112907599524521616878747295e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.767
Order of pole = 2.185
x[1] = -1.448
y[1] (analytic) = -0.96640174893932380174848027124549
y[1] (numeric) = -0.9664017489393238087721299466872
absolute error = 7.02364967544171e-18
relative error = 7.2678362628694856324659374802754e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.766
Order of pole = 2.185
x[1] = -1.447
y[1] (analytic) = -0.96607867389635239476494235373313
y[1] (numeric) = -0.9660786738963524018802486639815
absolute error = 7.11530631024837e-18
relative error = 7.3651416830796839405939636061630e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.765
Order of pole = 2.185
x[1] = -1.446
y[1] (analytic) = -0.96575529650226258463893400123229
y[1] (numeric) = -0.96575529650226259184649235871001
absolute error = 7.20755835747772e-18
relative error = 7.4631310680684773591475065311028e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.764
Order of pole = 2.184
x[1] = -1.445
y[1] (analytic) = -0.96543161640014893291615424678885
y[1] (numeric) = -0.96543161640014894021656271890232
absolute error = 7.30040847211347e-18
relative error = 7.5618079500388151964924631945640e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.764
Order of pole = 2.184
x[1] = -1.444
y[1] (analytic) = -0.96510763323269121742203081650588
y[1] (numeric) = -0.96510763323269122481589013471815
absolute error = 7.39385931821227e-18
relative error = 7.6611758767735097359335439796635e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.763
Order of pole = 2.184
x[1] = -1.443
y[1] (analytic) = -0.96478334664215426729205095311824
y[1] (numeric) = -0.96478334664215427477996452203636
absolute error = 7.48791356891812e-18
relative error = 7.7612384116902113632278132374181e-16 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=83.9MB, alloc=4.3MB, time=4.88
Complex estimate of poles used
Radius of convergence = 1.762
Order of pole = 2.184
x[1] = -1.442
y[1] (analytic) = -0.96445875627038779992209720561406
y[1] (numeric) = -0.96445875627038780750467111209072
absolute error = 7.58257390647666e-18
relative error = 7.8619991338964746266415756403138e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.761
Order of pole = 2.184
x[1] = -1.441
y[1] (analytic) = -0.96413386175882625985119033568029
y[1] (numeric) = -0.96413386175882626752903335792954
absolute error = 7.67784302224925e-18
relative error = 7.9634616382448227171872436356261e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.76
Order of pole = 2.184
x[1] = -1.44
y[1] (analytic) = -0.96380866274848865958909663273718
y[1] (numeric) = -0.96380866274848866736282024946424
absolute error = 7.77372361672706e-18
relative error = 8.0656295353880392499680380097574e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.759
Order of pole = 2.184
x[1] = -1.439
y[1] (analytic) = -0.96348315887997842240131225778168
y[1] (numeric) = -0.96348315887997843027153065732649
absolute error = 7.87021839954481e-18
relative error = 8.1685064518343148652525785329130e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.759
Order of pole = 2.184
x[1] = -1.438
y[1] (analytic) = -0.96315734979348322706399275246901
y[1] (numeric) = -0.96315734979348323503132284196364
absolute error = 7.96733008949463e-18
relative error = 8.2720960300027369126476813105565e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.758
Order of pole = 2.184
x[1] = -1.437
y[1] (analytic) = -0.96283123512877485460145155411311
y[1] (numeric) = -0.96283123512877486266651296865264
absolute error = 8.06506141453953e-18
relative error = 8.3764019282785939735353575562944e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.757
Order of pole = 2.184
x[1] = -1.436
y[1] (analytic) = -0.96250481452520903701890724986093
y[1] (numeric) = -0.96250481452520904518232236168786
absolute error = 8.16341511182693e-18
relative error = 8.4814278210689629460398742333265e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.756
Order of pole = 2.184
x[1] = -1.435
y[1] (analytic) = -0.9621780876217253080432153844745
y[1] (numeric) = -0.96217808762172531630560931217639
absolute error = 8.26239392770189e-18
relative error = 8.5871773988582058473684040035461e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.755
Order of pole = 2.184
x[1] = -1.434
y[1] (analytic) = -0.96185105405684685588437690621414
y[1] (numeric) = -0.96185105405684686424637752393447
absolute error = 8.36200061772033e-18
relative error = 8.6936543682636782586701110236166e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.754
Order of pole = 2.183
x[1] = -1.433
y[1] (analytic) = -0.96152371346868037803067179453142
y[1] (numeric) = -0.9615237134686803864929097411934
absolute error = 8.46223794666198e-18
relative error = 8.8008624520913801519088139379375e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.754
Order of pole = 2.183
x[1] = -1.432
y[1] (analytic) = -0.96119606549491593809032306192131
y[1] (numeric) = -0.96119606549491594665343175046457
absolute error = 8.56310868854326e-18
relative error = 8.9088053893917576779146015527386e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.753
Order of pole = 2.183
x[1] = -1.431
y[1] (analytic) = -0.96086810977282682469265316061909
y[1] (numeric) = -0.96086810977282683335726878724909
absolute error = 8.66461562663000e-18
relative error = 9.0174869355155632550169521968472e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.752
Order of pole = 2.183
x[1] = -1.43
y[1] (analytic) = -0.96053984593926941246175185312283
y[1] (numeric) = -0.96053984593926942122851340657276
absolute error = 8.76676155344993e-18
relative error = 9.1269108621697018689517071282355e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.751
Order of pole = 2.183
x[1] = -1.429
y[1] (analytic) = -0.96021127363068302507573182403885
y[1] (numeric) = -0.96021127363068303394528109484402
absolute error = 8.86954927080517e-18
relative error = 9.2370809574733037308043554458546e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.75
Order of pole = 2.183
x[1] = -1.428
y[1] (analytic) = -0.95988239248308980042470571974516
y[1] (numeric) = -0.95988239248308980939768730952953
absolute error = 8.97298158978437e-18
relative error = 9.3480010260136598588352027584601e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.749
Order of pole = 2.183
x[1] = -1.427
y[1] (analytic) = -0.95955320213209455788067590210031
y[1] (numeric) = -0.95955320213209456695773723287514
absolute error = 9.07706133077483e-18
relative error = 9.4596748889023648194292724444114e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.749
Order of pole = 2.183
x[1] = -1.426
y[1] (analytic) = -0.95922370221288466769258599314654
y[1] (numeric) = -0.95922370221288467687437731662098
absolute error = 9.18179132347444e-18
relative error = 9.5721063838315009790697915048082e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.748
Order of pole = 2.183
x[1] = -1.425
y[1] (analytic) = -0.95889389236022992251984126971448
y[1] (numeric) = -0.95889389236022993180701567661783
absolute error = 9.28717440690335e-18
relative error = 9.6852993651297711677548517462325e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.747
Order of pole = 2.182
x[1] = -1.424
y[1] (analytic) = -0.95856377220848241111766314027765
y[1] (numeric) = -0.95856377220848242051087656969327
absolute error = 9.39321342941562e-18
relative error = 9.7992577038188410971414353295847e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.746
Order of pole = 2.182
x[1] = -1.423
y[1] (analytic) = -0.9582333413915763941877013015719
y[1] (numeric) = -0.95823334139157640368761255028252
absolute error = 9.49991124871062e-18
relative error = 9.9139852876696526770345353692239e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.745
Order of pole = 2.182
x[1] = -1.422
y[1] (analytic) = -0.95790259954302818240738572962541
y[1] (numeric) = -0.95790259954302819201465646146964
absolute error = 9.60727073184423e-18
relative error = 1.0029486021258761022941511164645e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.744
Order of pole = 2.182
x[1] = -1.421
y[1] (analytic) = -0.95757154629593601665155940917519
y[1] (numeric) = -0.95757154629593602636685416441517
absolute error = 9.71529475523998e-18
relative error = 1.0145763826024842082597474374966e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.744
Order of pole = 2.182
x[1] = -1.42
y[1] (analytic) = -0.95724018128297995041999164720824
y[1] (numeric) = -0.95724018128297996024397785190813
absolute error = 9.82398620469989e-18
relative error = 1.0262822640325121243601065907435e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.743
Order of pole = 2.182
x[1] = -1.419
y[1] (analytic) = -0.95690850413642173448443095078695
y[1] (numeric) = -0.95690850413642174441777892620214
absolute error = 9.93334797541519e-18
relative error = 1.0380666419491911508760743471879e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.742
Order of pole = 2.182
x[1] = -1.418
y[1] (analytic) = -0.95657651448810470376891577662537
y[1] (numeric) = -0.95657651448810471381229874860224
absolute error = 1.004338297197687e-17
relative error = 1.0499299135889209909554149692513e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.741
Order of pole = 2.182
x[1] = -1.417
y[1] (analytic) = -0.95624421196945366647712098029523
y[1] (numeric) = -0.95624421196945367663121508868128
absolute error = 1.015409410838605e-17
relative error = 1.0618724778969342518421494337161e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=87.7MB, alloc=4.3MB, time=5.11
Complex estimate of poles used
Radius of convergence = 1.74
Order of pole = 2.181
x[1] = -1.416
y[1] (analytic) = -0.95591159621147479548057750667678
y[1] (numeric) = -0.95591159621147480574606181474089
absolute error = 1.026548430806411e-17
relative error = 1.0738947355329596089924391883926e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.74
Order of pole = 2.181
x[1] = -1.415
y[1] (analytic) = -0.95557866684475552198166277054223
y[1] (numeric) = -0.95557866684475553235921927440492
absolute error = 1.037755650386269e-17
relative error = 1.0859970888768952092901079601395e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.739
Order of pole = 2.181
x[1] = -1.414
y[1] (analytic) = -0.95524542349946443146531927717988
y[1] (numeric) = -0.9552454234994644419556329152534
absolute error = 1.049031363807352e-17
relative error = 1.0981799420344882192700409958888e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.738
Order of pole = 2.181
x[1] = -1.413
y[1] (analytic) = -0.95491186580535116195351932794021
y[1] (numeric) = -0.95491186580535117255727799037817
absolute error = 1.060375866243796e-17
relative error = 1.1104437008430080353458769398143e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.737
Order of pole = 2.181
x[1] = -1.412
y[1] (analytic) = -0.95457799339174630457655414471361
y[1] (numeric) = -0.95457799339174631529444868287006
absolute error = 1.071789453815645e-17
relative error = 1.1227887728769341610051312747316e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.736
Order of pole = 2.181
x[1] = -1.411
y[1] (analytic) = -0.95424380588756130647528643083196
y[1] (numeric) = -0.95424380588756131730801066672967
absolute error = 1.083272423589771e-17
relative error = 1.1352155674536420886900720073585e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.735
Order of pole = 2.181
x[1] = -1.41
y[1] (analytic) = -0.95390930292128837604856626391648
y[1] (numeric) = -0.95390930292128838699681699972426
absolute error = 1.094825073580778e-17
relative error = 1.1477244956390966855898180995696e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.735
Order of pole = 2.181
x[1] = -1.409
y[1] (analytic) = -0.95357448412100039056007128896309
y[1] (numeric) = -0.95357448412100040162454831648188
absolute error = 1.106447702751879e-17
relative error = 1.1603159702535416356906561293180e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.734
Order of pole = 2.18
x[1] = -1.408
y[1] (analytic) = -0.95323934911435080611889344764967
y[1] (numeric) = -0.95323934911435081730029955780728
absolute error = 1.118140611015761e-17
relative error = 1.1729904058772007338927152131661e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.733
Order of pole = 2.18
x[1] = -1.407
y[1] (analytic) = -0.95290389752857357004825594264978
y[1] (numeric) = -0.95290389752857358134729693500401
absolute error = 1.129904099235423e-17
relative error = 1.1857482188559753899095832685813e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.732
Order of pole = 2.18
x[1] = -1.406
y[1] (analytic) = -0.95256812899048303565680579382206
y[1] (numeric) = -0.95256812899048304707419048607204
absolute error = 1.141738469224998e-17
relative error = 1.1985898273071499504772927872510e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.731
Order of pole = 2.18
x[1] = -1.405
y[1] (analytic) = -0.95223204312647387942698919668768
y[1] (numeric) = -0.95223204312647389096342943419318
absolute error = 1.153644023750550e-17
relative error = 1.2115156511250954780311823281078e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.73
Order of pole = 2.18
x[1] = -1.404
y[1] (analytic) = -0.95189563956252102063507894277933
y[1] (numeric) = -0.95189563956252103229128960808784
absolute error = 1.165621066530851e-17
relative error = 1.2245261119869773052829172073862e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.73
Order of pole = 2.18
x[1] = -1.403
y[1] (analytic) = -0.95155891792417954341748540640907
y[1] (numeric) = -0.95155891792417955519418442879046
absolute error = 1.177669902238139e-17
relative error = 1.2376216333584674967206144978168e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.729
Order of pole = 2.18
x[1] = -1.402
y[1] (analytic) = -0.95122187783658462129804504332064
y[1] (numeric) = -0.95122187783658463319595340830916
absolute error = 1.189790836498852e-17
relative error = 1.2508026404994570437945961488206e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.728
Order of pole = 2.18
x[1] = -1.401
y[1] (analytic) = -0.95088451892445144419104298371945
y[1] (numeric) = -0.95088451892445145621088474266281
absolute error = 1.201984175894336e-17
relative error = 1.2640695604697657610466932677492e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.727
Order of pole = 2.179
x[1] = -1.4
y[1] (analytic) = -0.95054684081207514789478913546382
y[1] (numeric) = -0.9505468408120751600372914150792
absolute error = 1.214250227961538e-17
relative error = 1.2774228221348615211751726129848e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.726
Order of pole = 2.179
x[1] = -1.399
y[1] (analytic) = -0.95020884312333074609063024290036
y[1] (numeric) = -0.95020884312333075835652325483711
absolute error = 1.226589301193675e-17
relative error = 1.2908628561715794522948648120972e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.725
Order of pole = 2.179
x[1] = -1.398
y[1] (analytic) = -0.9498705254816730648623435730781
y[1] (numeric) = -0.94987052548167307725236062348684
absolute error = 1.239001705040874e-17
relative error = 1.3043900950738359052984634279372e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.725
Order of pole = 2.179
x[1] = -1.397
y[1] (analytic) = -0.94953188751013667975092132401762
y[1] (numeric) = -0.94953188751013669226579882312557
absolute error = 1.251487749910795e-17
relative error = 1.3180049731583498881463021446010e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.724
Order of pole = 2.179
x[1] = -1.396
y[1] (analytic) = -0.94919292883133585535981846947726
y[1] (numeric) = -0.94919292883133586800029594116955
absolute error = 1.264047747169229e-17
relative error = 1.3317079265703636297795682968331e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.723
Order of pole = 2.179
x[1] = -1.395
y[1] (analytic) = -0.94885364906746448752580057137631
y[1] (numeric) = -0.94885364906746450029262066278303
absolute error = 1.276682009140672e-17
relative error = 1.3454993932893633978799795984422e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.722
Order of pole = 2.179
x[1] = -1.394
y[1] (analytic) = -0.94851404784029604807059210482947
y[1] (numeric) = -0.94851404784029606096450059591821
absolute error = 1.289390849108874e-17
relative error = 1.3593798131347995895266777544907e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.721
Order of pole = 2.178
x[1] = -1.393
y[1] (analytic) = -0.94817412477118353214859005173646
y[1] (numeric) = -0.94817412477118354517033586491013
absolute error = 1.302174581317367e-17
relative error = 1.3733496277718103844605486042926e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.721
Order of pole = 2.178
x[1] = -1.392
y[1] (analytic) = -0.94783387948105940820597192716997
y[1] (numeric) = -0.94783387948105942135630713686965
absolute error = 1.315033520969968e-17
relative error = 1.3874092807169448228583875557209e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.72
Order of pole = 2.178
x[1] = -1.391
y[1] (analytic) = -0.94749331159043557056659200852302
y[1] (numeric) = -0.94749331159043558384627185083551
absolute error = 1.327967984231249e-17
relative error = 1.4015592173438769361662563580525e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=91.5MB, alloc=4.3MB, time=5.33
Complex estimate of poles used
Radius of convergence = 1.719
Order of pole = 2.178
x[1] = -1.39
y[1] (analytic) = -0.94715242071940329466012434061737
y[1] (numeric) = -0.94715242071940330806990722288735
absolute error = 1.340978288226998e-17
relative error = 1.4157998848891363210910980308042e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.718
Order of pole = 2.178
x[1] = -1.389
y[1] (analytic) = -0.94681120648763319490797609083768
y[1] (numeric) = -0.94681120648763320844862360128406
absolute error = 1.354064751044638e-17
relative error = 1.4301317324578204180679227611921e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.717
Order of pole = 2.178
x[1] = -1.388
y[1] (analytic) = -0.94646966851437518528256002693439
y[1] (numeric) = -0.94646966851437519895483694427073
absolute error = 1.367227691733634e-17
relative error = 1.4445552110293202187182038809256e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.716
Order of pole = 2.178
x[1] = -1.387
y[1] (analytic) = -0.94612780641845844255558028652196
y[1] (numeric) = -0.94612780641845845636025458958059
absolute error = 1.380467430305863e-17
relative error = 1.4590707734630330868410110668597e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.716
Order of pole = 2.177
x[1] = -1.386
y[1] (analytic) = -0.94578561981829137225105120157037
y[1] (numeric) = -0.94578561981829138618889407893003
absolute error = 1.393784287735966e-17
relative error = 1.4736788745040828237891291032062e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.715
Order of pole = 2.177
x[1] = -1.385
y[1] (analytic) = -0.94544310833186157731883473342591
y[1] (numeric) = -0.94544310833186159139062059304264
absolute error = 1.407178585961673e-17
relative error = 1.4883799707890375517383208134243e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.714
Order of pole = 2.177
x[1] = -1.384
y[1] (analytic) = -0.94510027157673582954454806417464
y[1] (numeric) = -0.94510027157673584375105454301557
absolute error = 1.420650647884093e-17
relative error = 1.5031745208516170193399659885549e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.713
Order of pole = 2.177
x[1] = -1.383
y[1] (analytic) = -0.94475710917006004371175907854566
y[1] (numeric) = -0.94475710917006005805376705222553
absolute error = 1.434200797367987e-17
relative error = 1.5180629851284084303110117061321e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.712
Order of pole = 2.177
x[1] = -1.382
y[1] (analytic) = -0.94441362072855925453245385710426
y[1] (numeric) = -0.94441362072855926901074744952436
absolute error = 1.447829359242010e-17
relative error = 1.5330458259645760677097800289355e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.712
Order of pole = 2.177
x[1] = -1.381
y[1] (analytic) = -0.94406980586853759636182688626266
y[1] (numeric) = -0.9440698058685376109771934792519
absolute error = 1.461536659298924e-17
relative error = 1.5481235076195668919003939341494e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.711
Order of pole = 2.177
x[1] = -1.38
y[1] (analytic) = -0.9437256642058782857135114736899
y[1] (numeric) = -0.94372566420587830046674171664772
absolute error = 1.475323024295782e-17
relative error = 1.5632964962728121774225846950319e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.71
Order of pole = 2.177
x[1] = -1.379
y[1] (analytic) = -0.9433811953560436065914348390769
y[1] (numeric) = -0.94338119535604362148332265861781
absolute error = 1.489188781954091e-17
relative error = 1.5785652600294337344504458311895e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.709
Order of pole = 2.176
x[1] = -1.378
y[1] (analytic) = -0.94303639893407489865454952994837
y[1] (numeric) = -0.94303639893407491368589213954775
absolute error = 1.503134260959938e-17
relative error = 1.5939302689259378359546475723945e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.708
Order of pole = 2.176
x[1] = -1.377
y[1] (analytic) = -0.94269127455459254823076019034216
y[1] (numeric) = -0.94269127455459256340235809998307
absolute error = 1.517159790964091e-17
relative error = 1.6093919949359096246671178813432e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.707
Order of pole = 2.176
x[1] = -1.376
y[1] (analytic) = -0.94234582183179598219643228672826
y[1] (numeric) = -0.942345821831795997509089312549
absolute error = 1.531265702582074e-17
relative error = 1.6249509119757070161105732742773e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.707
Order of pole = 2.176
x[1] = -1.375
y[1] (analytic) = -0.94200004037946366473793717053459
y[1] (numeric) = -0.94200004037946368019246044447662
absolute error = 1.545452327394203e-17
relative error = 1.6406074959101403723989309661233e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.706
Order of pole = 2.176
x[1] = -1.374
y[1] (analytic) = -0.94165392981095309701175583010141
y[1] (numeric) = -0.94165392981095311260895580955745
absolute error = 1.559719997945604e-17
relative error = 1.6563622245581602880151934723286e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.705
Order of pole = 2.176
x[1] = -1.373
y[1] (analytic) = -0.94130748973920081971973185681078
y[1] (numeric) = -0.94130748973920083546042233427272
absolute error = 1.574069047746194e-17
relative error = 1.6722155776985334005104671514187e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.704
Order of pole = 2.176
x[1] = -1.372
y[1] (analytic) = -0.94096071977672241861613252053503
y[1] (numeric) = -0.94096071977672243450113063324136
absolute error = 1.588499811270633e-17
relative error = 1.6881680370755147741850181189447e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.703
Order of pole = 2.175
x[1] = -1.371
y[1] (analytic) = -0.940613619535612532963245418417
y[1] (numeric) = -0.94061361953561254899337165799946
absolute error = 1.603012623958246e-17
relative error = 1.7042200864045158618887021375099e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.702
Order of pole = 2.175
x[1] = -1.37
y[1] (analytic) = -0.94026618862754486695230692832585
y[1] (numeric) = -0.94026618862754488312838515045498
absolute error = 1.617607822212913e-17
relative error = 1.7203722113777659837561805361335e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.702
Order of pole = 2.175
x[1] = -1.369
y[1] (analytic) = -0.9399184266637722041066276641107
y[1] (numeric) = -0.93991842666377222042948509813997
absolute error = 1.632285743402927e-17
relative error = 1.7366248996699673835733640790537e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.701
Order of pole = 2.175
x[1] = -1.368
y[1] (analytic) = -0.93957033325512642468384929397913
y[1] (numeric) = -0.93957033325512644115431655258738
absolute error = 1.647046725860825e-17
relative error = 1.7529786409439492453502329118626e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.7
Order of pole = 2.175
x[1] = -1.367
y[1] (analytic) = -0.93922190801201852609433644593061
y[1] (numeric) = -0.93922190801201854271324753476242
absolute error = 1.661891108883181e-17
relative error = 1.7694339268563090333896611402824e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.699
Order of pole = 2.175
x[1] = -1.366
y[1] (analytic) = -0.93887315054443864635277698514245
y[1] (numeric) = -0.93887315054443866312096931244615
absolute error = 1.676819232730370e-17
relative error = 1.7859912510630507868643702931855e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.698
Order of pole = 2.175
x[1] = -1.365
memory used=95.3MB, alloc=4.3MB, time=5.55
y[1] (analytic) = -0.93852406046195609058013370749675
y[1] (numeric) = -0.93852406046195610749844809375975
absolute error = 1.691831438626300e-17
relative error = 1.8026511092252172425951200887617e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.698
Order of pole = 2.175
x[1] = -1.364
y[1] (analytic) = -0.9381746373737193605731604510041
y[1] (numeric) = -0.93817463737371937764244113858518
absolute error = 1.706928068758108e-17
relative error = 1.8194139990145115846597331874258e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.697
Order of pole = 2.174
x[1] = -1.363
y[1] (analytic) = -0.93782488088845618745876578266884
y[1] (numeric) = -0.93782488088845620467986044542711
absolute error = 1.722109466275827e-17
relative error = 1.8362804201189163363163993699218e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.696
Order of pole = 2.174
x[1] = -1.362
y[1] (analytic) = -0.93747479061447356745057777229134
y[1] (numeric) = -0.93747479061447358482433752521147
absolute error = 1.737375975292013e-17
relative error = 1.8532508742482977317392677820002e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.695
Order of pole = 2.174
x[1] = -1.361
y[1] (analytic) = -0.93712436615965780072513391674665
y[1] (numeric) = -0.93712436615965781825241332556012
absolute error = 1.752727940881347e-17
relative error = 1.8703258651400116147790061126512e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.694
Order of pole = 2.174
x[1] = -1.36
y[1] (analytic) = -0.93677360713147453343519102834227
y[1] (numeric) = -0.93677360713147455111684811914421
absolute error = 1.768165709080194e-17
relative error = 1.8875058985644917327715259232887e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.693
Order of pole = 2.174
x[1] = -1.359
y[1] (analytic) = -0.93642251313696880287772084885798
y[1] (numeric) = -0.93642251313696882071461711771932
absolute error = 1.783689626886134e-17
relative error = 1.9047914823308364767320218873841e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.693
Order of pole = 2.174
x[1] = -1.358
y[1] (analytic) = -0.93607108378276508583422829672063
y[1] (numeric) = -0.93607108378276510382722871929515
absolute error = 1.799300042257452e-17
relative error = 1.9221831262923802552275185272789e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.692
Order of pole = 2.174
x[1] = -1.357
y[1] (analytic) = -0.93571931867506735010110059836901
y[1] (numeric) = -0.93571931867506736825107363949497
absolute error = 1.814997304112596e-17
relative error = 1.9396813423522591591699025909700e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.691
Order of pole = 2.174
x[1] = -1.356
y[1] (analytic) = -0.93536721741965910922776709611739
y[1] (numeric) = -0.93536721741965912753558471941343
absolute error = 1.830781762329604e-17
relative error = 1.9572866444689720510899046354044e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.69
Order of pole = 2.173
x[1] = -1.355
y[1] (analytic) = -0.93501477962190348048052126361934
y[1] (numeric) = -0.93501477962190349894705894107418
absolute error = 1.846653767745484e-17
relative error = 1.9749995486619200344636406098076e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.689
Order of pole = 2.173
x[1] = -1.354
y[1] (analytic) = -0.9346620048867432460499283962494
y[1] (numeric) = -0.93466200488674326467606511780505
absolute error = 1.862613672155565e-17
relative error = 1.9928205730169435841192888568472e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.689
Order of pole = 2.173
x[1] = -1.353
y[1] (analytic) = -0.93430889281870091751981457723414
y[1] (numeric) = -0.93430889281870093630643286036228
absolute error = 1.878661828312814e-17
relative error = 2.0107502376918520598843829374740e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.688
Order of pole = 2.173
x[1] = -1.352
y[1] (analytic) = -0.93395544302187880361590485104349
y[1] (numeric) = -0.93395544302187882256389075031455
absolute error = 1.894798589927106e-17
relative error = 2.0287890649219317440933612270432e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.687
Order of pole = 2.173
x[1] = -1.351
y[1] (analytic) = -0.93360165509995908125225106325821
y[1] (numeric) = -0.93360165509995910036249417990286
absolute error = 1.911024311664465e-17
relative error = 2.0469375790254517064024578995479e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.686
Order of pole = 2.173
x[1] = -1.35
y[1] (analytic) = -0.93324752865620386989366255071266
y[1] (numeric) = -0.9332475286562038891670560421753
absolute error = 1.927339349146264e-17
relative error = 2.0651963064091547121078627512714e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.685
Order of pole = 2.173
x[1] = -1.349
y[1] (analytic) = -0.93289306329345530925242578701804
y[1] (numeric) = -0.93289306329345532868986637650194
absolute error = 1.943744058948390e-17
relative error = 2.0835657755737396462784479394427e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.685
Order of pole = 2.173
x[1] = -1.348
y[1] (analytic) = -0.93253825861413564033767220643751
y[1] (numeric) = -0.93253825861413565994006019244113
absolute error = 1.960238798600362e-17
relative error = 2.1020465171193226435856866973119e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.684
Order of pole = 2.173
x[1] = -1.347
y[1] (analytic) = -0.93218311422024728987582674333956
y[1] (numeric) = -0.93218311422024730964406600918376
absolute error = 1.976823926584420e-17
relative error = 2.1206390637508962572819727380406e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.683
Order of pole = 2.172
x[1] = -1.346
y[1] (analytic) = -0.93182762971337295812064313492198
y[1] (numeric) = -0.93182762971337297805564115826765
absolute error = 1.993499802334567e-17
relative error = 2.1393439502837674259909358526846e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.682
Order of pole = 2.172
x[1] = -1.345
y[1] (analytic) = -0.93147180469467571007140574138755
y[1] (numeric) = -0.93147180469467573017407360374334
absolute error = 2.010266786235579e-17
relative error = 2.1581617136489903661345456994906e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.681
Order of pole = 2.172
x[1] = -1.344
y[1] (analytic) = -0.93111563876489907011795154007108
y[1] (numeric) = -0.93111563876489909038920393629075
absolute error = 2.027125239621967e-17
relative error = 2.1770928928987772737432256503262e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.68
Order of pole = 2.172
x[1] = -1.343
y[1] (analytic) = -0.93075913152436712013124004796093
y[1] (numeric) = -0.93075913152436714057199529572993
absolute error = 2.044075524776900e-17
relative error = 2.1961380292118965268700229256033e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.68
Order of pole = 2.172
x[1] = -1.342
y[1] (analytic) = -0.93040228257298460101827322041664
y[1] (numeric) = -0.9304022825729846216294532697276
absolute error = 2.061118004931096e-17
relative error = 2.2152976658990659599092769230238e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.679
Order of pole = 2.172
x[1] = -1.341
y[1] (analytic) = -0.93004509151023701776024186243806
y[1] (numeric) = -0.93004509151023703854277230505462
absolute error = 2.078253044261656e-17
relative error = 2.2345723484083143974990794504558e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.678
Order of pole = 2.172
x[1] = -1.34
y[1] (analytic) = -0.92968755793519074795284977236147
y[1] (numeric) = -0.92968755793519076890765985127021
absolute error = 2.095481007890874e-17
relative error = 2.2539626243303469398749140158975e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.677
Order of pole = 2.172
memory used=99.1MB, alloc=4.3MB, time=5.78
x[1] = -1.339
y[1] (analytic) = -0.92932968144649315386784171611018
y[1] (numeric) = -0.92932968144649317499586433496007
absolute error = 2.112802261884989e-17
relative error = 2.2734690434038775057585808494984e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.676
Order of pole = 2.172
x[1] = -1.338
y[1] (analytic) = -0.92897146164237269805483640286348
y[1] (numeric) = -0.92897146164237271935700813539253
absolute error = 2.130217173252905e-17
relative error = 2.2930921575209566140642475376643e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.676
Order of pole = 2.172
x[1] = -1.337
y[1] (analytic) = -0.92861289812063906250264089997777
y[1] (numeric) = -0.92861289812063908397990199942641
absolute error = 2.147726109944864e-17
relative error = 2.3128325207322783201028058201935e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.675
Order of pole = 2.172
x[1] = -1.336
y[1] (analytic) = -0.9282539904786832713792983859323
y[1] (numeric) = -0.9282539904786832930325927944431
absolute error = 2.165329440851080e-17
relative error = 2.3326906892524749500431395212802e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.674
Order of pole = 2.171
x[1] = -1.335
y[1] (analytic) = -0.92789473831347781737019679471032
y[1] (numeric) = -0.9278947383134778392004721527135
absolute error = 2.183027535800318e-17
relative error = 2.3526672214653824391195399876361e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.673
Order of pole = 2.171
x[1] = -1.334
y[1] (analytic) = -0.9275351412215767916336417530827
y[1] (numeric) = -0.92753514122157681364184940866712
absolute error = 2.200820765558442e-17
relative error = 2.3727626779293021508458159879614e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.672
Order of pole = 2.171
x[1] = -1.333
y[1] (analytic) = -0.92717519879911601739337325344792
y[1] (numeric) = -0.92717519879911603958046827171709
absolute error = 2.218709501826917e-17
relative error = 2.3929776213822430714864252546979e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.672
Order of pole = 2.171
x[1] = -1.332
y[1] (analytic) = -0.92681491064181318718758173890066
y[1] (numeric) = -0.9268149106418132095545229113132
absolute error = 2.236694117241254e-17
relative error = 2.4133126167471325399431909379483e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.671
Order of pole = 2.171
x[1] = -1.331
y[1] (analytic) = -0.92645427634496800379405570374402
y[1] (numeric) = -0.92645427634496802634180555743827
absolute error = 2.254774985369425e-17
relative error = 2.4337682311370246529114952680061e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.67
Order of pole = 2.171
x[1] = -1.33
y[1] (analytic) = -0.92609329550346232485116953141216
y[1] (numeric) = -0.92609329550346234758069433851439
absolute error = 2.272952480710223e-17
relative error = 2.4543450338602794260223872115290e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.669
Order of pole = 2.171
x[1] = -1.329
y[1] (analytic) = -0.92573196771176031119449710240413
y[1] (numeric) = -0.92573196771176033410676688931991
absolute error = 2.291226978691578e-17
relative error = 2.4750435964257245959273208995425e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.668
Order of pole = 2.171
x[1] = -1.328
y[1] (analytic) = -0.92537029256390857892891370701149
y[1] (numeric) = -0.92537029256390860202490226369974
absolute error = 2.309598855668825e-17
relative error = 2.4958644925477957755836818556363e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.668
Order of pole = 2.171
x[1] = -1.327
y[1] (analytic) = -0.92500826965353635525612599100731
y[1] (numeric) = -0.92500826965353637853681088023664
absolute error = 2.328068488922933e-17
relative error = 2.5168082981516647154941139073367e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.667
Order of pole = 2.171
x[1] = -1.326
y[1] (analytic) = -0.92464589857385563807764704669849
y[1] (numeric) = -0.92464589857385566154400961328523
absolute error = 2.346636256658674e-17
relative error = 2.5378755913783330093223437054605e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.666
Order of pole = 2.171
x[1] = -1.325
y[1] (analytic) = -0.92428317891766135939331133646255
y[1] (numeric) = -0.92428317891766138304633671649008
absolute error = 2.365302538002753e-17
relative error = 2.5590669525897139518296247541601e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.665
Order of pole = 2.171
x[1] = -1.324
y[1] (analytic) = -0.92392011027733155251550190072182
y[1] (numeric) = -0.9239201102773315763561790307407
absolute error = 2.384067713001888e-17
relative error = 2.5803829643736906932415307307799e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.664
Order of pole = 2.171
x[1] = -1.323
y[1] (analytic) = -0.9235566922448275231193402568679
y[1] (numeric) = -0.92355669224482754714866188307631
absolute error = 2.402932162620841e-17
relative error = 2.6018242115491517901258310678140e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.664
Order of pole = 2.171
x[1] = -1.322
y[1] (analytic) = -0.92319292441169402414916753954524
y[1] (numeric) = -0.92319292441169404836813022694919
absolute error = 2.421896268740395e-17
relative error = 2.6233912811709987570668070533516e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.663
Order of pole = 2.17
x[1] = -1.321
y[1] (analytic) = -0.92282880636905943460172376553024
y[1] (numeric) = -0.92282880636905945901132790708316
absolute error = 2.440960414155292e-17
relative error = 2.6450847625351418788125105076493e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.662
Order of pole = 2.17
x[1] = -1.32
y[1] (analytic) = -0.92246433770763594220651062778974
y[1] (numeric) = -0.92246433770763596680776045351084
absolute error = 2.460124982572110e-17
relative error = 2.6669052471834604838862673742733e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.661
Order of pole = 2.17
x[1] = -1.319
y[1] (analytic) = -0.92209951801771973002390193274498
y[1] (numeric) = -0.92209951801771975481780551881597
absolute error = 2.479390358607099e-17
relative error = 2.6888533289087493536005372636881e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.66
Order of pole = 2.17
x[1] = -1.318
y[1] (analytic) = -0.92173434688919116698164469187176
y[1] (numeric) = -0.92173434688919119196921396971132
absolute error = 2.498756927783956e-17
relative error = 2.7109296037596296124435481387764e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.659
Order of pole = 2.17
x[1] = -1.317
y[1] (analytic) = -0.92136882391151500237047296308935
y[1] (numeric) = -0.92136882391151502755272372840493
absolute error = 2.518225076531558e-17
relative error = 2.7331346700454447054311763157022e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.659
Order of pole = 2.17
x[1] = -1.316
y[1] (analytic) = -0.92100294867374056431963580847627
y[1] (numeric) = -0.92100294867374058969758773029264
absolute error = 2.537795192181637e-17
relative error = 2.7554691283411241312401489086825e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.658
Order of pole = 2.17
x[1] = -1.315
y[1] (analytic) = -0.92063672076450196227322019223409
y[1] (numeric) = -0.92063672076450198784789682189816
absolute error = 2.557467662966407e-17
relative error = 2.7779335814920257861153657351528e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.657
Order of pole = 2.17
x[1] = -1.314
y[1] (analytic) = -0.92027013977201829348822928602602
y[1] (numeric) = -0.92027013977201831926065806618735
absolute error = 2.577242878016133e-17
relative error = 2.8005286346187460752072874261138e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.656
Order of pole = 2.17
memory used=103.0MB, alloc=4.3MB, time=6.01
x[1] = -1.313
y[1] (analytic) = -0.9199032052840938535754564773583
y[1] (numeric) = -0.91990320528409387954666875092484
absolute error = 2.597121227356654e-17
relative error = 2.8232548951219108288888341586625e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.655
Order of pole = 2.17
x[1] = -1.312
y[1] (analytic) = -0.9195359168881183511042753900523
y[1] (numeric) = -0.91953591688811837727530640912074
absolute error = 2.617103101906844e-17
relative error = 2.8461129726869296529367934520362e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.655
Order of pole = 2.17
x[1] = -1.311
y[1] (analytic) = -0.91916827417106712629254642356469
y[1] (numeric) = -0.91916827417106715266443535832495
absolute error = 2.637188893476026e-17
relative error = 2.8691034792887300119783404001148e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.654
Order of pole = 2.17
x[1] = -1.31
y[1] (analytic) = -0.91880027671950137380292069943421
y[1] (numeric) = -0.91880027671950140037671064704747
absolute error = 2.657378994761326e-17
relative error = 2.8922270291964569230747697423498e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.653
Order of pole = 2.17
x[1] = -1.309
y[1] (analytic) = -0.91843192411956836966690286793426
y[1] (numeric) = -0.91843192411956839644364086138402
absolute error = 2.677673799344976e-17
relative error = 2.9154842389781480448145134502634e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.652
Order of pole = 2.17
x[1] = -1.308
y[1] (analytic) = -0.91806321595700170235811497555074
y[1] (numeric) = -0.91806321595700172933885199246636
absolute error = 2.698073701691562e-17
relative error = 2.9388757275053798182714551856383e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.651
Order of pole = 2.17
x[1] = -1.307
y[1] (analytic) = -0.91769415181712150803628452363023
y[1] (numeric) = -0.91769415181712153522207549508231
absolute error = 2.718579097145208e-17
relative error = 2.9624021159578748536652938583663e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.651
Order of pole = 2.17
x[1] = -1.306
y[1] (analytic) = -0.91732473128483470998356095989065
y[1] (numeric) = -0.91732473128483473737546477915777
absolute error = 2.739190381926712e-17
relative error = 2.9860640278280879779760812501863e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.65
Order of pole = 2.17
x[1] = -1.305
y[1] (analytic) = -0.91695495394463526225484613687955
y[1] (numeric) = -0.91695495394463528985392566818579
absolute error = 2.759907953130624e-17
relative error = 3.0098620889257600599674121846426e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.649
Order of pole = 2.17
x[1] = -1.304
y[1] (analytic) = -0.91658481938060439756390574431597
y[1] (numeric) = -0.91658481938060442537122783153859
absolute error = 2.780732208722262e-17
relative error = 3.0337969273824352398775436544687e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.648
Order of pole = 2.17
x[1] = -1.303
y[1] (analytic) = -0.91621432717641087942711037496135
y[1] (numeric) = -0.91621432717641090744374585030809
absolute error = 2.801663547534674e-17
relative error = 3.0578691736559502740697728897532e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.648
Order of pole = 2.17
x[1] = -1.302
y[1] (analytic) = -0.91584347691531125858673671562287
y[1] (numeric) = -0.91584347691531128681376040827824
absolute error = 2.822702369265537e-17
relative error = 3.0820794605348861707821815680779e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.647
Order of pole = 2.17
x[1] = -1.301
y[1] (analytic) = -0.9154722681801501337358413654747
y[1] (numeric) = -0.91547226818015016217433211021473
absolute error = 2.843849074474003e-17
relative error = 3.1064284231429930154148273966285e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.646
Order of pole = 2.17
x[1] = -1.3
y[1] (analytic) = -0.91510070055336041656680197245527
y[1] (numeric) = -0.91510070055336044521784261823012
absolute error = 2.865104064577485e-17
relative error = 3.1309166989435803417444920116535e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.645
Order of pole = 2.17
x[1] = -1.299
y[1] (analytic) = -0.91472877361696360116570274441395
y[1] (numeric) = -0.91472877361696363003038016289767
absolute error = 2.886467741848372e-17
relative error = 3.1555449277438610075721103970085e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.644
Order of pole = 2.17
x[1] = -1.298
y[1] (analytic) = -0.91435648695257003777482393427902
y[1] (numeric) = -0.91435648695257006685422902838603
absolute error = 2.907940509410701e-17
relative error = 3.1803137516992791468075457354156e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.644
Order of pole = 2.17
x[1] = -1.297
y[1] (analytic) = -0.91398384014137921094557761713002
y[1] (numeric) = -0.91398384014137924024080532949756
absolute error = 2.929522771236754e-17
relative error = 3.2052238153177872226782449959433e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.643
Order of pole = 2.17
x[1] = -1.296
y[1] (analytic) = -0.91361083276418002210431497099579
y[1] (numeric) = -0.91361083276418005161646429243177
absolute error = 2.951214932143598e-17
relative error = 3.2302757654640918203831205776540e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.642
Order of pole = 2.17
x[1] = -1.295
y[1] (analytic) = -0.91323746440135107655351334176968
y[1] (numeric) = -0.91323746440135110628368731966535
absolute error = 2.973017397789567e-17
relative error = 3.2554702513638670762275859322071e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.641
Order of pole = 2.17
x[1] = -1.294
y[1] (analytic) = -0.91286373463286097493093461512522
y[1] (numeric) = -0.91286373463286100488024036183195
absolute error = 2.994930574670673e-17
relative error = 3.2808079246079214910201423057987e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.64
Order of pole = 2.17
x[1] = -1.293
y[1] (analytic) = -0.91248964303826860914942983400763
y[1] (numeric) = -0.91248964303826863931897853517728
absolute error = 3.016954870116965e-17
relative error = 3.3062894391563388974465746289986e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.64
Order of pole = 2.17
x[1] = -1.292
y[1] (analytic) = -0.91211518919672346284014858843398
y[1] (numeric) = -0.91211518919672349323105551132209
absolute error = 3.039090692288811e-17
relative error = 3.3319154513425661794579475750689e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.639
Order of pole = 2.17
x[1] = -1.291
y[1] (analytic) = -0.91174037268696591632199546420924
y[1] (numeric) = -0.9117403726869659469353799659405
absolute error = 3.061338450173126e-17
relative error = 3.3576866198774728980124268984495e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.638
Order of pole = 2.17
x[1] = -1.29
y[1] (analytic) = -0.91136519308732755612025976799717
y[1] (numeric) = -0.9113651930873275869572453037925
absolute error = 3.083698553579533e-17
relative error = 3.3836036058533685587234475881121e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.637
Order of pole = 2.17
x[1] = -1.289
y[1] (analytic) = -0.91098964997573148905742884719871
y[1] (numeric) = -0.91098964997573152011914297856328
absolute error = 3.106171413136457e-17
relative error = 3.4096670727479774799477785970242e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.636
Order of pole = 2.17
x[1] = -1.288
y[1] (analytic) = -0.91061374292969266093927959349981
y[1] (numeric) = -0.91061374292969269222685399637136
absolute error = 3.128757440287155e-17
relative error = 3.4358776864283745138589274684049e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.636
Order of pole = 2.17
memory used=106.8MB, alloc=4.3MB, time=6.23
x[1] = -1.287
y[1] (analytic) = -0.91023747152631817985942715795435
y[1] (numeric) = -0.91023747152631821137399763081113
absolute error = 3.151457047285678e-17
relative error = 3.4622361151548771931716168473434e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.635
Order of pole = 2.17
x[1] = -1.286
y[1] (analytic) = -0.90986083534230764414559451225186
y[1] (numeric) = -0.90986083534230767588830098417952
absolute error = 3.174270647192766e-17
relative error = 3.4887430295848953565667329034364e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.634
Order of pole = 2.17
x[1] = -1.285
y[1] (analytic) = -0.90948383395395347497095126455629
y[1] (numeric) = -0.9094838339539535069429378032731
absolute error = 3.197198653871681e-17
relative error = 3.5153991027767437071048640508803e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.633
Order of pole = 2.17
x[1] = -1.284
y[1] (analytic) = -0.90910646693714125365395507814968
y[1] (numeric) = -0.9091064669371412858563698979893
absolute error = 3.220241481983962e-17
relative error = 3.5422050101933996760815434580397e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.632
Order of pole = 2.17
x[1] = -1.283
y[1] (analytic) = -0.90872873386735006367021414621744
y[1] (numeric) = -0.90872873386735009610420961606865
absolute error = 3.243399546985121e-17
relative error = 3.5691614297062274212199154644644e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.632
Order of pole = 2.17
x[1] = -1.282
y[1] (analytic) = -0.9083506343196528373999744456014
y[1] (numeric) = -0.90835063431965287006670709680405
absolute error = 3.266673265120265e-17
relative error = 3.5962690415986514264923211800177e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.631
Order of pole = 2.17
x[1] = -1.281
y[1] (analytic) = -0.90797216786871670763492092533866
y[1] (numeric) = -0.90797216786871674053555145953517
absolute error = 3.290063053419651e-17
relative error = 3.6235285285697873452982670903299e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.63
Order of pole = 2.17
x[1] = -1.28
y[1] (analytic) = -0.90759333408880336386806738140148
y[1] (numeric) = -0.90759333408880339700376067834317
absolute error = 3.313569329694169e-17
relative error = 3.6509405757380245320224495934284e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.629
Order of pole = 2.171
x[1] = -1.279
y[1] (analytic) = -0.90721413255376941339059552634412
y[1] (numeric) = -0.90721413255376944676252065165165
absolute error = 3.337192512530753e-17
relative error = 3.6785058706445601994428588001835e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.629
Order of pole = 2.171
x[1] = -1.278
y[1] (analytic) = -0.90683456283706674721958968061981
y[1] (numeric) = -0.90683456283706678082891989349706
absolute error = 3.360933021287725e-17
relative error = 3.7062251032568906525126097360163e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.628
Order of pole = 2.171
x[1] = -1.277
y[1] (analytic) = -0.90645462451174291088069959021487
y[1] (numeric) = -0.9064546245117429447286123511155
absolute error = 3.384791276090063e-17
relative error = 3.7340989659722496221021545254818e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.627
Order of pole = 2.171
x[1] = -1.276
y[1] (analytic) = -0.90607431715044148006985011200152
y[1] (numeric) = -0.9060743171504415141575270902475
absolute error = 3.408767697824598e-17
relative error = 3.7621281536209991396950769739686e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.626
Order of pole = 2.171
x[1] = -1.275
y[1] (analytic) = -0.90569364032540244121820290286556
y[1] (numeric) = -0.90569364032540247554682998421698
absolute error = 3.432862708135142e-17
relative error = 3.7903133634699750994661864841462e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.625
Order of pole = 2.171
x[1] = -1.274
y[1] (analytic) = -0.90531259360846257698466180023588
y[1] (numeric) = -0.9053125936084626115554290944112
absolute error = 3.457076729417532e-17
relative error = 3.8186552952257708829317068270454e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.625
Order of pole = 2.171
x[1] = -1.273
y[1] (analytic) = -0.90493117657105585670030028912789
y[1] (numeric) = -0.90493117657105589151440213727404
absolute error = 3.481410184814615e-17
relative error = 3.8471546510379865671607249145452e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.624
Order of pole = 2.171
x[1] = -1.272
y[1] (analytic) = -0.90454938878421383178917631319944
y[1] (numeric) = -0.90454938878421386684781129531084
absolute error = 3.505863498211140e-17
relative error = 3.8758121355024061040243253889592e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.623
Order of pole = 2.171
x[1] = -1.271
y[1] (analytic) = -0.90416722981856603619008670357256
y[1] (numeric) = -0.90416722981856607149445764585848
absolute error = 3.530437094228592e-17
relative error = 3.9046284556641410438156726941119e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.622
Order of pole = 2.171
x[1] = -1.27
y[1] (analytic) = -0.90378469924434039180390066825438
y[1] (numeric) = -0.9037846992443404273552146504538
absolute error = 3.555131398219942e-17
relative error = 3.9336043210207120125191260462419e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.621
Order of pole = 2.171
x[1] = -1.269
y[1] (analytic) = -0.90340179663136361899119910583233
y[1] (numeric) = -0.90340179663136365479066746847548
absolute error = 3.579946836264315e-17
relative error = 3.9627404435250700480710825556946e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.621
Order of pole = 2.171
x[1] = -1.268
y[1] (analytic) = -0.90301852154906165214503397864655
y[1] (numeric) = -0.90301852154906168819387233026248
absolute error = 3.604883835161593e-17
relative error = 3.9920375375885765184506365107746e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.62
Order of pole = 2.171
x[1] = -1.267
y[1] (analytic) = -0.90263487356646006036370960176363
y[1] (numeric) = -0.90263487356646009666313782603295
absolute error = 3.629942822426932e-17
relative error = 4.0214963200839183085416062856202e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.619
Order of pole = 2.172
x[1] = -1.266
y[1] (analytic) = -0.90225085225218447324857547368169
y[1] (numeric) = -0.90225085225218450979981773653372
absolute error = 3.655124226285203e-17
relative error = 4.0511175103479692414685764975538e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.618
Order of pole = 2.172
x[1] = -1.265
y[1] (analytic) = -0.90186645717446101185190819166293
y[1] (numeric) = -0.90186645717446104865619294831647
absolute error = 3.680428475665354e-17
relative error = 4.0809018301845943223029655923878e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.618
Order of pole = 2.172
x[1] = -1.264
y[1] (analytic) = -0.90148168790111672480004805777634
y[1] (numeric) = -0.90148168790111676185860805972323
absolute error = 3.705856000194689e-17
relative error = 4.1108500038673922705772619708364e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.617
Order of pole = 2.172
x[1] = -1.263
y[1] (analytic) = -0.90109654399958002961704418998251
y[1] (numeric) = -0.9010965439995800669311164919133
absolute error = 3.731407230193079e-17
relative error = 4.1409627581423928773999856868094e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.616
Order of pole = 2.172
x[1] = -1.262
y[1] (analytic) = -0.9007110250368811592741503047328
y[1] (numeric) = -0.90071102503688119684497627140353
absolute error = 3.757082596667073e-17
relative error = 4.1712408222306735979660877913956e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=110.6MB, alloc=4.3MB, time=6.45
Complex estimate of poles used
Radius of convergence = 1.615
Order of pole = 2.172
x[1] = -1.261
y[1] (analytic) = -0.90032513057965261399060183239525
y[1] (numeric) = -0.9003251305796526518194271454347
absolute error = 3.782882531303945e-17
relative error = 4.2016849278309351960639876871048e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.614
Order of pole = 2.172
x[1] = -1.26
y[1] (analytic) = -0.89993886019412961831119366315553
y[1] (numeric) = -0.89993886019412965639926832781204
absolute error = 3.808807466465651e-17
relative error = 4.2322958091220074994817760534688e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.614
Order of pole = 2.172
x[1] = -1.259
y[1] (analytic) = -0.89955221344615058348626659764845
y[1] (numeric) = -0.89955221344615062183484494947545
absolute error = 3.834857835182700e-17
relative error = 4.2630742027652895752378247506376e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.613
Order of pole = 2.172
x[1] = -1.258
y[1] (analytic) = -0.89916518990115757517979949221502
y[1] (numeric) = -0.89916518990115761379014020369456
absolute error = 3.861034071147954e-17
relative error = 4.2940208479071408812385577465514e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.612
Order of pole = 2.172
x[1] = -1.257
y[1] (analytic) = -0.89877778912419678653139314209609
y[1] (numeric) = -0.89877778912419682540475922919938
absolute error = 3.887336608710329e-17
relative error = 4.3251364861811921646259269677155e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.611
Order of pole = 2.173
x[1] = -1.256
y[1] (analytic) = -0.89839001067991901659802113579054
y[1] (numeric) = -0.89839001067991905573567996447476
absolute error = 3.913765882868422e-17
relative error = 4.3564218617106037631691895848855e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.61
Order of pole = 2.173
x[1] = -1.255
y[1] (analytic) = -0.89800185413258015420151223893491
y[1] (numeric) = -0.8980018541325801936047355315754
absolute error = 3.940322329264049e-17
relative error = 4.3878777211102545174899186136184e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.61
Order of pole = 2.173
x[1] = -1.254
y[1] (analytic) = -0.89761331904604166720781832509275
y[1] (numeric) = -0.89761331904604170687788216684975
absolute error = 3.967006384175700e-17
relative error = 4.4195048134888678385954234606113e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.609
Order of pole = 2.173
x[1] = -1.253
y[1] (analytic) = -0.89722440498377109726421146245035
y[1] (numeric) = -0.89722440498377113720239630756937
absolute error = 3.993818484511902e-17
relative error = 4.4513038904510647789229133215975e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.608
Order of pole = 2.173
x[1] = -1.252
y[1] (analytic) = -0.89683511150884256002064348825749
y[1] (numeric) = -0.89683511150884260022823416630248
absolute error = 4.020759067804499e-17
relative error = 4.4832757060993539897548086206819e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.607
Order of pole = 2.173
x[1] = -1.251
y[1] (analytic) = -0.89644543818393725086159125556641
y[1] (numeric) = -0.89644543818393729133987697758486
absolute error = 4.047828572201845e-17
relative error = 4.5154210170360539797222302520539e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.607
Order of pole = 2.173
x[1] = -1.25
y[1] (analytic) = -0.89605538457134395617480071802994
y[1] (numeric) = -0.896055384571343996925075082649
absolute error = 4.075027436461906e-17
relative error = 4.5477405823651430724675016307464e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.606
Order of pole = 2.173
x[1] = -1.249
y[1] (analytic) = -0.89566495023295957018343312682384
y[1] (numeric) = -0.89566495023295961120699412627659
absolute error = 4.102356099945275e-17
relative error = 4.5802351636940413766629917266110e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.605
Order of pole = 2.174
x[1] = -1.248
y[1] (analytic) = -0.89527413473028961736820684774343
y[1] (numeric) = -0.89527413473028965866635687382438
absolute error = 4.129815002608095e-17
relative error = 4.6129055251353190430644571492996e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.604
Order of pole = 2.174
x[1] = -1.247
y[1] (analytic) = -0.89488293762444878050621866475726
y[1] (numeric) = -0.89488293762444882208026451470619
absolute error = 4.157404584994893e-17
relative error = 4.6457524333083340022235923746268e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.604
Order of pole = 2.174
x[1] = -1.246
y[1] (analytic) = -0.89449135847616143435321891732852
y[1] (numeric) = -0.89449135847616147620447179964177
absolute error = 4.185125288231325e-17
relative error = 4.6787766573407990329876905087091e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.603
Order of pole = 2.174
x[1] = -1.245
y[1] (analytic) = -0.89409939684576218499620542116814
y[1] (numeric) = -0.89409939684576222712598096133638
absolute error = 4.212977554016824e-17
relative error = 4.7119789688702690630518155851062e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.602
Order of pole = 2.174
x[1] = -1.244
y[1] (analytic) = -0.89370705229319641490329184427196
y[1] (numeric) = -0.89370705229319645731291009044358
absolute error = 4.240961824617162e-17
relative error = 4.7453601420455608298447955243702e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.601
Order of pole = 2.174
x[1] = -1.243
y[1] (analytic) = -0.89331432437802083369789705061129
y[1] (numeric) = -0.89331432437802087638868247918042
absolute error = 4.269078542856913e-17
relative error = 4.7789209535280902055377343451528e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.6
Order of pole = 2.174
x[1] = -1.242
y[1] (analytic) = -0.89292121265940403468439288116255
y[1] (numeric) = -0.89292121265940407765767440228084
absolute error = 4.297328152111829e-17
relative error = 4.8126621824931404354307435608439e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.6
Order of pole = 2.174
x[1] = -1.241
y[1] (analytic) = -0.89252771669612705715243891453388
y[1] (numeric) = -0.89252771669612710040954987754498
absolute error = 4.325711096301110e-17
relative error = 4.8465846106310398519446260173895e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.599
Order of pole = 2.175
x[1] = -1.24
y[1] (analytic) = -0.8921338360465839544873239357062
y[1] (numeric) = -0.89213383604658399802960213450216
absolute error = 4.354227819879596e-17
relative error = 4.8806890221482802326146308716324e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.598
Order of pole = 2.175
x[1] = -1.239
y[1] (analytic) = -0.89173957026878236811372513977167
y[1] (numeric) = -0.89173957026878241194251281807014
absolute error = 4.382878767829847e-17
relative error = 4.9149762037685375526494642342202e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.597
Order of pole = 2.175
x[1] = -1.238
y[1] (analytic) = -0.89134491892034410730038750641614
y[1] (numeric) = -0.89134491892034415141703136295749
absolute error = 4.411664385654135e-17
relative error = 4.9494469447336218166652569060791e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.597
Order of pole = 2.175
x[1] = -1.237
y[1] (analytic) = -0.89094988155850573485331729863291
y[1] (numeric) = -0.8909498815585057792591684922963
absolute error = 4.440585119366339e-17
relative error = 4.9841020368043457085894974147012e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.596
Order of pole = 2.175
x[1] = -1.236
y[1] (analytic) = -0.89055445774011915872517526412684
y[1] (numeric) = -0.89055445774011920342158941896421
absolute error = 4.469641415483737e-17
relative error = 5.0189422742613051301404075570469e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=114.4MB, alloc=4.3MB, time=6.67
Complex estimate of poles used
Radius of convergence = 1.595
Order of pole = 2.175
x[1] = -1.235
y[1] (analytic) = -0.8901586470216522295686468484082
y[1] (numeric) = -0.89015864702165227455698405859524
absolute error = 4.498833721018704e-17
relative error = 5.0539684539055815236082711121547e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.594
Order of pole = 2.176
x[1] = -1.234
y[1] (analytic) = -0.88976244895918934426165856299982
y[1] (numeric) = -0.88976244895918938954328339770293
absolute error = 4.528162483470311e-17
relative error = 5.0891813750593601743329209010160e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.593
Order of pole = 2.176
x[1] = -1.233
y[1] (analytic) = -0.88936586310843205543240158878552
y[1] (numeric) = -0.88936586310843210100868309694372
absolute error = 4.557628150815820e-17
relative error = 5.1245818395664586666334091669700e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.593
Order of pole = 2.176
x[1] = -1.232
y[1] (analytic) = -0.88896888902469968701221573158732
y[1] (numeric) = -0.88896888902469973288452744660812
absolute error = 4.587231171502080e-17
relative error = 5.1601706517927708941129179498492e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.592
Order of pole = 2.176
x[1] = -1.231
y[1] (analytic) = -0.8885715262629299558444789828289
y[1] (numeric) = -0.88857152626293000201419892719716
absolute error = 4.616971994436826e-17
relative error = 5.1959486186266286672957365937665e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.591
Order of pole = 2.176
x[1] = -1.23
y[1] (analytic) = -0.88817377437767959937774017085746
y[1] (numeric) = -0.88817377437767964584625086065614
absolute error = 4.646851068979868e-17
relative error = 5.2319165494790660792636482564920e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.59
Order of pole = 2.176
x[1] = -1.229
y[1] (analytic) = -0.88777563292312500947142451636804
y[1] (numeric) = -0.88777563292312505624011296570987
absolute error = 4.676868844934183e-17
relative error = 5.2680752562840010223964498495721e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.59
Order of pole = 2.176
x[1] = -1.228
y[1] (analytic) = -0.88737710145306287234253432659716
y[1] (numeric) = -0.8873771014530629194127920519662
absolute error = 4.707025772536904e-17
relative error = 5.3044255534983268884294891645857e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.177
x[1] = -1.227
y[1] (analytic) = -0.88697817952091081468185957569679
y[1] (numeric) = -0.88697817952091086205508260019876
absolute error = 4.737322302450197e-17
relative error = 5.3409682581019040756832245618373e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.177
x[1] = -1.226
y[1] (analytic) = -0.88657886667970805596830572111477
y[1] (numeric) = -0.88657886667970810364589457863521
absolute error = 4.767758885752044e-17
relative error = 5.3777041895974713429680262503605e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.177
x[1] = -1.225
y[1] (analytic) = -0.88617916248211606701003879602405
y[1] (numeric) = -0.88617916248211611499339853529315
absolute error = 4.798335973926910e-17
relative error = 5.4146341700104519831356575421491e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.177
x[1] = -1.224
y[1] (analytic) = -0.88577906648041923474124059396521
y[1] (numeric) = -0.88577906648041928303178078252835
absolute error = 4.829054018856314e-17
relative error = 5.4517590238886771137011144297465e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.177
x[1] = -1.223
y[1] (analytic) = -0.88537857822652553330335962198217
y[1] (numeric) = -0.88537857822652558190249435007498
absolute error = 4.859913472809281e-17
relative error = 5.4890795783019998945361417283133e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.177
x[1] = -1.222
y[1] (analytic) = -0.88497769727196720143983644070145
y[1] (numeric) = -0.88497769727196725034898432502839
absolute error = 4.890914788432694e-17
relative error = 5.5265966628418218455059782162626e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.178
x[1] = -1.221
y[1] (analytic) = -0.88457642316790142623337503207328
y[1] (numeric) = -0.88457642316790147545395921948866
absolute error = 4.922058418741538e-17
relative error = 5.5643111096205219893007489251821e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.178
x[1] = -1.22
y[1] (analytic) = -0.88417475546511103321492493587706
y[1] (numeric) = -0.88417475546511108274837310696732
absolute error = 4.953344817109026e-17
relative error = 5.6022237532707772478926228611663e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.178
x[1] = -1.219
y[1] (analytic) = -0.88377269371400518287363207259055
y[1] (numeric) = -0.88377269371400523272137644515685
absolute error = 4.984774437256630e-17
relative error = 5.6403354309447998176151295066411e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.178
x[1] = -1.218
y[1] (analytic) = -0.88337023746462007359710942080753
y[1] (numeric) = -0.88337023746462012376058675324735
absolute error = 5.016347733243982e-17
relative error = 5.6786469823134516825989924763214e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.178
x[1] = -1.217
y[1] (analytic) = -0.88296738626661965107147204001199
y[1] (numeric) = -0.88296738626661970155212363459877
absolute error = 5.048065159458678e-17
relative error = 5.7171592495652732928471583414765e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.178
x[1] = -1.216
y[1] (analytic) = -0.88256413966929632417067432210968
y[1] (numeric) = -0.88256413966929637496994602816932
absolute error = 5.079927170605964e-17
relative error = 5.7558730774054023816388227310387e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.179
x[1] = -1.215
y[1] (analytic) = -0.88216049722157168736478081558392
y[1] (numeric) = -0.88216049722157173848412303256702
absolute error = 5.111934221698310e-17
relative error = 5.7947893130543894145637988626770e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.579
Order of pole = 2.179
x[1] = -1.214
y[1] (analytic) = -0.8817564584719972496768954923663
y[1] (numeric) = -0.88175645847199730111776317281498
absolute error = 5.144086768044868e-17
relative error = 5.8339088062469048438606846303454e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.578
Order of pole = 2.179
x[1] = -1.213
y[1] (analytic) = -0.88135202296875517021856791735284
y[1] (numeric) = -0.88135202296875522198242056976102
absolute error = 5.176385265240818e-17
relative error = 5.8732324092303423996261619783035e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.577
Order of pole = 2.179
x[1] = -1.212
y[1] (analytic) = -0.88094719025965900033358843178966
y[1] (numeric) = -0.8809471902596590524218901233556
absolute error = 5.208830169156594e-17
relative error = 5.9127609767633090418986264950843e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.577
Order of pole = 2.179
x[1] = -1.211
y[1] (analytic) = -0.88054195989215443238017817231064
y[1] (numeric) = -0.88054195989215448479439753158067
absolute error = 5.241421935927003e-17
relative error = 5.9524953661140160106770212295798e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.576
Order of pole = 2.179
x[1] = -1.21
memory used=118.2MB, alloc=4.3MB, time=6.90
y[1] (analytic) = -0.88013633141332005518167351502311
y[1] (numeric) = -0.88013633141332010792328373442525
absolute error = 5.274161021940214e-17
relative error = 5.9924364370585445599135156405714e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.575
Order of pole = 2.18
x[1] = -1.209
y[1] (analytic) = -0.87973030436986811617589835647002
y[1] (numeric) = -0.87973030436986816924637719473642
absolute error = 5.307047883826640e-17
relative error = 6.0325850518790121514225179171742e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.574
Order of pole = 2.18
x[1] = -1.208
y[1] (analytic) = -0.87932387830814529029351151829054
y[1] (numeric) = -0.87932387830814534369434130276751
absolute error = 5.340082978447697e-17
relative error = 6.0729420753616206260374213428216e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.574
Order of pole = 2.18
x[1] = -1.207
y[1] (analytic) = -0.8789170527741334555957104876714
y[1] (numeric) = -0.87891705277413350932837811651581
absolute error = 5.373266762884441e-17
relative error = 6.1135083747945871415485409031322e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.573
Order of pole = 2.18
x[1] = -1.206
y[1] (analytic) = -0.87850982731345047570176667892124
y[1] (numeric) = -0.87850982731345052976776362318217
absolute error = 5.406599694426093e-17
relative error = 6.1542848199659689129208859050894e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.572
Order of pole = 2.18
x[1] = -1.205
y[1] (analytic) = -0.8781022014713509890369614203781
y[1] (numeric) = -0.87810220147135104343778372596242
absolute error = 5.440082230558432e-17
relative error = 6.1952722831613586651044272731581e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.571
Order of pole = 2.18
x[1] = -1.204
y[1] (analytic) = -0.87769417479272720493158593301797
y[1] (numeric) = -0.87769417479272725966873422253873
absolute error = 5.473714828952076e-17
relative error = 6.2364716391614731953916549508598e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.57
Order of pole = 2.181
x[1] = -1.203
y[1] (analytic) = -0.8772857468221097066017626701898
y[1] (numeric) = -0.87728574682210976167674214469614
absolute error = 5.507497947450634e-17
relative error = 6.2778837652396153484054107823810e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.57
Order of pole = 2.181
x[1] = -1.202
y[1] (analytic) = -0.87687691710366826104293952945143
y[1] (numeric) = -0.87687691710366831645725997003882
absolute error = 5.541432044058739e-17
relative error = 6.3195095411590204229583793026533e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.569
Order of pole = 2.181
x[1] = -1.201
y[1] (analytic) = -0.87646768518121263586700262509067
y[1] (numeric) = -0.87646768518121269162217839439019
absolute error = 5.575517576929952e-17
relative error = 6.3613498491700752505892229014032e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.568
Order of pole = 2.181
x[1] = -1.2
y[1] (analytic) = -0.87605805059819342311404752112834
y[1] (numeric) = -0.87605805059819347921159756467381
absolute error = 5.609755004354547e-17
relative error = 6.4034055740074209695315607114608e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.567
Order of pole = 2.181
x[1] = -1.199
y[1] (analytic) = -0.87564801289770287006994306693323
y[1] (numeric) = -0.87564801289770292651139091440489
absolute error = 5.644144784747166e-17
relative error = 6.4456776028869265751760254872553e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.567
Order of pole = 2.181
x[1] = -1.198
y[1] (analytic) = -0.87523757162247571712091624852353
y[1] (numeric) = -0.87523757162247577390779001486698
absolute error = 5.678687376634345e-17
relative error = 6.4881668255025339885633994085219e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.566
Order of pole = 2.182
x[1] = -1.197
y[1] (analytic) = -0.87482672631489004267648076565183
y[1] (numeric) = -0.87482672631489009981031315207106
absolute error = 5.713383238641923e-17
relative error = 6.5308741340229879593582249085890e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.565
Order of pole = 2.182
x[1] = -1.196
y[1] (analytic) = -0.87441547651696811519212636531058
y[1] (numeric) = -0.87441547651696817267445466013367
absolute error = 5.748232829482309e-17
relative error = 6.5738004230884218540829847963542e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.564
Order of pole = 2.182
x[1] = -1.195
y[1] (analytic) = -0.87400382177037725232328030376495
y[1] (numeric) = -0.87400382177037731015564638318127
absolute error = 5.783236607941632e-17
relative error = 6.6169465898068274776738264778849e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.564
Order of pole = 2.182
x[1] = -1.194
y[1] (analytic) = -0.87359176161643068724214666900907
y[1] (numeric) = -0.87359176161643074542609699767659
absolute error = 5.818395032866752e-17
relative error = 6.6603135337503833797513124095877e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.563
Order of pole = 2.182
x[1] = -1.193
y[1] (analytic) = -0.87317929559608844214912367100827
y[1] (numeric) = -0.87317929559608850068620930252971
absolute error = 5.853708563152144e-17
relative error = 6.7039021569516549369651945761929e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.562
Order of pole = 2.182
x[1] = -1.192
y[1] (analytic) = -0.87276642324995820901059339556994
y[1] (numeric) = -0.87276642324995826790236997283651
absolute error = 5.889177657726657e-17
relative error = 6.7477133638996680932611823345290e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.561
Order of pole = 2.183
x[1] = -1.191
y[1] (analytic) = -0.87235314411829623755497291648526
y[1] (numeric) = -0.87235314411829629680300067188655
absolute error = 5.924802775540129e-17
relative error = 6.7917480615358345724022863150094e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.561
Order of pole = 2.183
x[1] = -1.19
y[1] (analytic) = -0.87193945774100823055901006698341
y[1] (numeric) = -0.87193945774100829016485382248212
absolute error = 5.960584375549871e-17
relative error = 6.8360071592497429908549522130415e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.56
Order of pole = 2.183
x[1] = -1.189
y[1] (analytic) = -0.87152536365765024645640158279211
y[1] (numeric) = -0.8715253636576503064216307498624
absolute error = 5.996522916707029e-17
relative error = 6.8804915688748257622288815154549e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.559
Order of pole = 2.183
x[1] = -1.188
y[1] (analytic) = -0.87111086140742960930090574242953
y[1] (numeric) = -0.8711108614074296696270943218575
absolute error = 6.032618857942797e-17
relative error = 6.9252022046838703936396903746533e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.558
Order of pole = 2.183
x[1] = -1.187
y[1] (analytic) = -0.87069595052920582611621604295923
y[1] (numeric) = -0.87069595052920588680494262450422
absolute error = 6.068872658154499e-17
relative error = 6.9701399833843953356477570650778e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.558
Order of pole = 2.183
x[1] = -1.186
y[1] (analytic) = -0.87028063056149151166495685849426
y[1] (numeric) = -0.87028063056149157271780462040963
absolute error = 6.105284776191537e-17
relative error = 7.0153058241138864920230591772820e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.557
Order of pole = 2.184
x[1] = -1.185
y[1] (analytic) = -0.86986490104245332066925643137952
y[1] (numeric) = -0.86986490104245338208781313979153
absolute error = 6.141855670841201e-17
relative error = 7.0607006484348893291216572780600e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.556
Order of pole = 2.184
memory used=122.0MB, alloc=4.3MB, time=7.12
x[1] = -1.184
y[1] (analytic) = -0.86944876150991288751544693932856
y[1] (numeric) = -0.86944876150991294930130494747193
absolute error = 6.178585800814337e-17
relative error = 7.1063253803299515032509750729789e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.555
Order of pole = 2.184
x[1] = -1.183
y[1] (analytic) = -0.86903221150134777347553576292759
y[1] (numeric) = -0.8690322115013478356302920102364
absolute error = 6.215475624730881e-17
relative error = 7.1521809461964247112703073644721e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.555
Order of pole = 2.184
x[1] = -1.182
y[1] (analytic) = -0.86861525055389242147818644390392
y[1] (numeric) = -0.8686152505538924840034424549564
absolute error = 6.252525601105248e-17
relative error = 7.1982682748411126270217434336694e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.554
Order of pole = 2.184
x[1] = -1.181
y[1] (analytic) = -0.86819787820433911846204217241719
y[1] (numeric) = -0.86819787820433918135940405573306
absolute error = 6.289736188331587e-17
relative error = 7.2445882974747770734283885341812e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.553
Order of pole = 2.184
x[1] = -1.18
y[1] (analytic) = -0.86778009398913896534431896837048
y[1] (numeric) = -0.86778009398913902861539741505932
absolute error = 6.327107844668884e-17
relative error = 7.2911419477064812060249100256827e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.552
Order of pole = 2.184
x[1] = -1.179
y[1] (analytic) = -0.86736189744440285463769002432538
y[1] (numeric) = -0.86736189744440291828410030658472
absolute error = 6.364641028225934e-17
relative error = 7.3379301615377933636397665473277e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.551
Order of pole = 2.185
x[1] = -1.178
y[1] (analytic) = -0.86694328810590245574857695298421
y[1] (numeric) = -0.86694328810590251977193892244588
absolute error = 6.402336196946167e-17
relative error = 7.3849538773568338057171002833888e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.551
Order of pole = 2.185
x[1] = -1.177
y[1] (analytic) = -0.86652426550907120799005792728567
y[1] (numeric) = -0.86652426550907127239199601320883
absolute error = 6.440193808592316e-17
relative error = 7.4322140359321499469923749138417e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.55
Order of pole = 2.185
x[1] = -1.176
y[1] (analytic) = -0.86610482918900532134269691283129
y[1] (numeric) = -0.86610482918900538612484012014094
absolute error = 6.478214320730965e-17
relative error = 7.4797115804064633718773377401985e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.549
Order of pole = 2.185
x[1] = -1.175
y[1] (analytic) = -0.86568497868046478499669236747438
y[1] (numeric) = -0.86568497868046485016067427464367
absolute error = 6.516398190716929e-17
relative error = 7.5274474562902327329995183487877e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.548
Order of pole = 2.185
x[1] = -1.174
y[1] (analytic) = -0.86526471351787438370883791828302
y[1] (numeric) = -0.86526471351787444925629667505797
absolute error = 6.554745875677495e-17
relative error = 7.5754226114550654092821100343722e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.548
Order of pole = 2.185
x[1] = -1.173
y[1] (analytic) = -0.8648440332353247220078816185301
y[1] (numeric) = -0.86484403323532478794045994349534
absolute error = 6.593257832496524e-17
relative error = 7.6236379961269773920874070041826e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.547
Order of pole = 2.185
x[1] = -1.172
y[1] (analytic) = -0.86442293736657325628196443362994
y[1] (numeric) = -0.86442293736657332260130961161377
absolute error = 6.631934517798383e-17
relative error = 7.6720945628794650014962756369870e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.546
Order of pole = 2.185
x[1] = -1.171
y[1] (analytic) = -0.86400142544504533478191260176575
y[1] (numeric) = -0.86400142544504540148967648108332
absolute error = 6.670776387931757e-17
relative error = 7.7207932666264456402630318532090e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.545
Order of pole = 2.186
x[1] = -1.17
y[1] (analytic) = -0.86357949700383524557425245904025
y[1] (numeric) = -0.86357949700383531267209144857305
absolute error = 6.709783898953280e-17
relative error = 7.7697350646149964789869498150933e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.545
Order of pole = 2.186
x[1] = -1.169
y[1] (analytic) = -0.86315715157570727247791020700319
y[1] (numeric) = -0.86315715157570733996748527311357
absolute error = 6.748957506611038e-17
relative error = 7.8189209164179517589243014535776e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.544
Order of pole = 2.186
x[1] = -1.168
y[1] (analytic) = -0.86273438869309675901865292900854
y[1] (numeric) = -0.86273438869309682690162959228763
absolute error = 6.788297666327909e-17
relative error = 7.8683517839263176324693262915250e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.543
Order of pole = 2.186
x[1] = -1.167
y[1] (analytic) = -0.86231120788811118043542092763953
y[1] (numeric) = -0.86231120788811124871346925948705
absolute error = 6.827804833184752e-17
relative error = 7.9180286313415178025139875860192e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.542
Order of pole = 2.186
x[1] = -1.166
y[1] (analytic) = -0.86188760869253122377279515499178
y[1] (numeric) = -0.86188760869253129244758977402622
absolute error = 6.867479461903444e-17
relative error = 7.9679524251674681880741952221280e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.542
Order of pole = 2.186
x[1] = -1.165
y[1] (analytic) = -0.86146359063781187609393713747144
y[1] (numeric) = -0.86146359063781194516715720576904
absolute error = 6.907322006829760e-17
relative error = 8.0181241342024741907086804951616e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.541
Order of pole = 2.186
x[1] = -1.164
y[1] (analytic) = -0.86103915325508352084843235346227
y[1] (numeric) = -0.86103915325508359032176157262324
absolute error = 6.947332921916097e-17
relative error = 8.0685447295309510765861568858821e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.54
Order of pole = 2.186
x[1] = -1.163
y[1] (analytic) = -0.86061429607515304242956150222843
y[1] (numeric) = -0.86061429607515311230468810926889
absolute error = 6.987512660704046e-17
relative error = 8.1192151845149714742170705558361e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.539
Order of pole = 2.186
x[1] = -1.162
y[1] (analytic) = -0.86018901862850493895561750220035
y[1] (numeric) = -0.86018901862850500923423426526835
absolute error = 7.027861676306800e-17
relative error = 8.1701364747856254003649655217777e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.539
Order of pole = 2.187
x[1] = -1.161
y[1] (analytic) = -0.85976332044530244330997937275969
y[1] (numeric) = -0.8597633204453025139937835866738
absolute error = 7.068380421391411e-17
relative error = 8.2213095782342072439244925007825e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.538
Order of pole = 2.187
x[1] = -1.16
y[1] (analytic) = -0.85933720105538865247474738218528
y[1] (numeric) = -0.85933720105538872356544086379406
absolute error = 7.109069348160878e-17
relative error = 8.2727354750032081175542324699430e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.537
Order of pole = 2.187
x[1] = -1.159
y[1] (analytic) = -0.85891065998828766519283698189882
y[1] (numeric) = -0.85891065998828773669212606525971
absolute error = 7.149928908336089e-17
relative error = 8.3244151474771396332199108707228e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=125.8MB, alloc=4.3MB, time=7.35
Complex estimate of poles used
Radius of convergence = 1.536
Order of pole = 2.187
x[1] = -1.158
y[1] (analytic) = -0.85848369677320572799352208988201
y[1] (numeric) = -0.85848369677320579990311762125786
absolute error = 7.190959553137585e-17
relative error = 8.3763495802731511919786825321956e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.536
Order of pole = 2.187
x[1] = -1.157
y[1] (analytic) = -0.85805631093903238961651123041341
y[1] (numeric) = -0.85805631093903246193812856308521
absolute error = 7.232161733267180e-17
relative error = 8.4285397602314796426030094225785e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.535
Order of pole = 2.187
x[1] = -1.156
y[1] (analytic) = -0.85762850201434166386973287935281
y[1] (numeric) = -0.85762850201434173660509186824681
absolute error = 7.273535898889400e-17
relative error = 8.4809866764056875290314297604258e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.534
Order of pole = 2.187
x[1] = -1.155
y[1] (analytic) = -0.8572002695273932009560991003046
y[1] (numeric) = -0.85720026952739327410692409643236
absolute error = 7.315082499612776e-17
relative error = 8.5336913200527299633244888570221e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.533
Order of pole = 2.187
x[1] = -1.154
y[1] (analytic) = -0.85677161300613346730460918331194
y[1] (numeric) = -0.85677161300613354087262902802153
absolute error = 7.356801984470959e-17
relative error = 8.5866546846228121171842521159340e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.533
Order of pole = 2.187
x[1] = -1.153
y[1] (analytic) = -0.85634253197819693394124751042508
y[1] (numeric) = -0.85634253197819700792819552946184
absolute error = 7.398694801903676e-17
relative error = 8.6398777657490587255640054968006e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.532
Order of pole = 2.187
x[1] = -1.152
y[1] (analytic) = -0.85591302597090727343522226767391
y[1] (numeric) = -0.85591302597090734784283626504908
absolute error = 7.440761399737517e-17
relative error = 8.6933615612369831965027446632746e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.531
Order of pole = 2.187
x[1] = -1.151
y[1] (analytic) = -0.85548309451127856545618389674488
y[1] (numeric) = -0.85548309451127864028620614841045
absolute error = 7.483002225166557e-17
relative error = 8.7471070710537602334196344049379e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.53
Order of pole = 2.188
x[1] = -1.15
y[1] (analytic) = -0.85505273712601651097815432807059
y[1] (numeric) = -0.85505273712601658623233157539865
absolute error = 7.525417724732806e-17
relative error = 8.8011152973172930238987274893218e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.53
Order of pole = 2.188
x[1] = -1.149
y[1] (analytic) = -0.85462195334151965516599005610624
y[1] (numeric) = -0.85462195334151973084607349917122
absolute error = 7.568008344306498e-17
relative error = 8.8553872442850870716755974979208e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.529
Order of pole = 2.188
x[1] = -1.148
y[1] (analytic) = -0.8541907426838806189802940032773
y[1] (numeric) = -0.85419074268388069508803929393926
absolute error = 7.610774529066196e-17
relative error = 8.9099239183429029902273618651801e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.528
Order of pole = 2.188
x[1] = -1.147
y[1] (analytic) = -0.85375910467888733953678286738632
y[1] (numeric) = -0.85375910467888741607395010217376
absolute error = 7.653716723478744e-17
relative error = 8.9647263279932237109278633720814e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.527
Order of pole = 2.188
x[1] = -1.146
y[1] (analytic) = -0.8533270388520243192562082540819
y[1] (numeric) = -0.85332703885202439622456196687217
absolute error = 7.696835371279027e-17
relative error = 9.0197954838434896669101315419423e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.527
Order of pole = 2.188
x[1] = -1.145
y[1] (analytic) = -0.85289454472847388384102135719752
y[1] (numeric) = -0.85289454472847396124233051169327
absolute error = 7.740130915449575e-17
relative error = 9.0751323985941432581431081977579e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.526
Order of pole = 2.188
x[1] = -1.144
y[1] (analytic) = -0.85246162183311744911506226121002
y[1] (numeric) = -0.85246162183311752695110024320989
absolute error = 7.783603798199987e-17
relative error = 9.1307380870264536828911122807995e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.525
Order of pole = 2.188
x[1] = -1.143
y[1] (analytic) = -0.85202826969053679676264609755514
y[1] (numeric) = -0.8520282696905368750351907070169
absolute error = 7.827254460946176e-17
relative error = 9.1866135659901224416356909581080e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.524
Order of pole = 2.188
x[1] = -1.142
y[1] (analytic) = -0.85159448782501535900350928584565
y[1] (numeric) = -0.85159448782501543771434272874013
absolute error = 7.871083344289448e-17
relative error = 9.2427598543906839083924773020874e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.524
Order of pole = 2.188
x[1] = -1.141
y[1] (analytic) = -0.8511602757605395122401699279044
y[1] (numeric) = -0.85116027576053959139107880785834
absolute error = 7.915090887995394e-17
relative error = 9.2991779731766754740118472303288e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.523
Order of pole = 2.188
x[1] = -1.14
y[1] (analytic) = -0.85072563302079987971434709265195
y[1] (numeric) = -0.85072563302079995930712240237807
absolute error = 7.959277530972612e-17
relative error = 9.3558689453265963261671361918481e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.522
Order of pole = 2.188
x[1] = -1.139
y[1] (analytic) = -0.85029055912919264320917422894271
y[1] (numeric) = -0.85029055912919272324561134145519
absolute error = 8.003643711251248e-17
relative error = 9.4128337958356410750496747365452e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.521
Order of pole = 2.188
x[1] = -1.138
y[1] (analytic) = -0.84985505360882086383403226705359
y[1] (numeric) = -0.84985505360882094431593092666718
absolute error = 8.048189865961359e-17
relative error = 9.4700735517022108471017562562743e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.521
Order of pole = 2.188
x[1] = -1.137
y[1] (analytic) = -0.84941911598249581192891811328848
y[1] (numeric) = -0.84941911598249589285808242639941
absolute error = 8.092916431311093e-17
relative error = 9.5275892419141950579253064152729e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.52
Order of pole = 2.188
x[1] = -1.136
y[1] (analytic) = -0.84898274577273830612535420162564
y[1] (numeric) = -0.84898274577273838750359262727254
absolute error = 8.137823842564690e-17
relative error = 9.5853818974350276447743624020110e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.519
Order of pole = 2.188
x[1] = -1.135
y[1] (analytic) = -0.84854594250178006160093453702301
y[1] (numeric) = -0.84854594250178014343005987722602
absolute error = 8.182912534020301e-17
relative error = 9.6434525511895133013533835259731e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.518
Order of pole = 2.188
x[1] = -1.134
y[1] (analytic) = -0.84810870569156504756469224238946
y[1] (numeric) = -0.84810870569156512984652163226572
absolute error = 8.228182938987626e-17
relative error = 9.7018022380494239518271569626308e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.518
Order of pole = 2.188
x[1] = -1.133
y[1] (analytic) = -0.84767103486375085401056300077308
y[1] (numeric) = -0.84767103486375093674691789842669
absolute error = 8.273635489765361e-17
relative error = 9.7604319948188527213060260544008e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=129.7MB, alloc=4.3MB, time=7.57
Complex estimate of poles used
Radius of convergence = 1.517
Order of pole = 2.188
x[1] = -1.132
y[1] (analytic) = -0.84723292953971006777630796141679
y[1] (numeric) = -0.84723292953971015096901413760147
absolute error = 8.319270617618468e-17
relative error = 9.8193428602193409309663574622262e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.516
Order of pole = 2.188
x[1] = -1.131
y[1] (analytic) = -0.84679438924053165794534864835617
y[1] (numeric) = -0.84679438924053174159623617590871
absolute error = 8.365088752755254e-17
relative error = 9.8785358748747606403232421733180e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.515
Order of pole = 2.188
x[1] = -1.13
y[1] (analytic) = -0.8463554134870223706290551685152
y[1] (numeric) = -0.84635541348702245473995841155788
absolute error = 8.411090324304268e-17
relative error = 9.9380120812959623581057546522938e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.515
Order of pole = 2.188
x[1] = -1.129
y[1] (analytic) = -0.84591600179970813316711755808518
y[1] (numeric) = -0.84591600179970821773987516099527
absolute error = 8.457275760291009e-17
relative error = 9.9977725238651786646015656771346e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.514
Order of pole = 2.188
x[1] = -1.128
y[1] (analytic) = -0.84547615369883546778371842660505
y[1] (numeric) = -0.8454761536988355528201733027494
absolute error = 8.503645487614435e-17
relative error = 1.0057818248820170897477857283571e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.513
Order of pole = 2.188
x[1] = -1.127
y[1] (analytic) = -0.84503586870437291473731315281279
y[1] (numeric) = -0.84503586870437300023931247304585
absolute error = 8.550199932023306e-17
relative error = 1.0118150304238156880760400559066e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.512
Order of pole = 2.188
x[1] = -1.126
y[1] (analytic) = -0.84459514633601246500191175018609
y[1] (numeric) = -0.84459514633601255097130693110918
absolute error = 8.596939518092309e-17
relative error = 1.0178769740019457190876625966765e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.512
Order of pole = 2.188
x[1] = -1.125
y[1] (analytic) = -0.84415398611317100251784414827165
y[1] (numeric) = -0.84415398611317108895649084025177
absolute error = 8.643864669198012e-17
relative error = 1.0239677607870914465666846230872e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.511
Order of pole = 2.188
x[1] = -1.124
y[1] (analytic) = -0.8437123875549917560500780235181
y[1] (numeric) = -0.8437123875549918429598360984643
absolute error = 8.690975807494620e-17
relative error = 1.0300874961289052778102580016448e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.51
Order of pole = 2.188
x[1] = -1.123
y[1] (analytic) = -0.84327035018034576069224545543492
y[1] (numeric) = -0.84327035018034584807497899433023
absolute error = 8.738273353889531e-17
relative error = 1.0362362855542973600634759207431e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.509
Order of pole = 2.188
x[1] = -1.122
y[1] (analytic) = -0.84282787350783332905462157552018
y[1] (numeric) = -0.84282787350783341691219885570723
absolute error = 8.785757728018705e-17
relative error = 1.0424142347657002664232114103784e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.509
Order of pole = 2.188
x[1] = -1.121
y[1] (analytic) = -0.84238495705578553217438501251365
y[1] (numeric) = -0.84238495705578562050867849473206
absolute error = 8.833429348221841e-17
relative error = 1.0486214496393080703866321850334e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.508
Order of pole = 2.188
x[1] = -1.12
y[1] (analytic) = -0.84194160034226569018657631307918
y[1] (numeric) = -0.84194160034226577899946262825265
absolute error = 8.881288631517347e-17
relative error = 1.0548580362232879170992142967694e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.507
Order of pole = 2.188
x[1] = -1.119
y[1] (analytic) = -0.84149780288507087279425662690147
y[1] (numeric) = -0.84149780288507096208761656267267
absolute error = 8.929335993577120e-17
relative error = 1.0611241007359659936682732859322e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.506
Order of pole = 2.188
x[1] = -1.118
y[1] (analytic) = -0.84105356420173340957645478425806
y[1] (numeric) = -0.84105356420173349935217327126939
absolute error = 8.977571848701133e-17
relative error = 1.0674197495639874304976030403753e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.506
Order of pole = 2.188
x[1] = -1.117
y[1] (analytic) = -0.84060888380952241017257645721684
y[1] (numeric) = -0.84060888380952250043254255513496
absolute error = 9.025996609791812e-17
relative error = 1.0737450892604479977056272622795e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.505
Order of pole = 2.188
x[1] = -1.116
y[1] (analytic) = -0.84016376122544529438203437749157
y[1] (numeric) = -0.84016376122544538512814126077378
absolute error = 9.074610688328221e-17
relative error = 1.0801002265429996170293179665257e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.504
Order of pole = 2.188
x[1] = -1.115
y[1] (analytic) = -0.83971819596624933221794357940112
y[1] (numeric) = -0.83971819596624942345208852280156
absolute error = 9.123414494340044e-17
relative error = 1.0864852682919282641580620334507e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.503
Order of pole = 2.188
x[1] = -1.114
y[1] (analytic) = -0.83927218754842319395381034001953
y[1] (numeric) = -0.83927218754842328567789470383317
absolute error = 9.172408436381364e-17
relative error = 1.0929003215482041405756575542355e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.503
Order of pole = 2.188
x[1] = -1.113
y[1] (analytic) = -0.83882573548819851020222789512899
y[1] (numeric) = -0.83882573548819860241815711017146
absolute error = 9.221592921504247e-17
relative error = 1.0993454935115049466980770350256e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.502
Order of pole = 2.188
x[1] = -1.112
y[1] (analytic) = -0.83837883930155144206467611361151
y[1] (numeric) = -0.83837883930155153477435966593262
absolute error = 9.270968355232111e-17
relative error = 1.1058208915382097513692220632981e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.501
Order of pole = 2.188
x[1] = -1.111
y[1] (analytic) = -0.83793149850420426139160610900939
y[1] (numeric) = -0.83793149850420435459695752433837
absolute error = 9.320535141532898e-17
relative error = 1.1123266231393654765724021381050e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.5
Order of pole = 2.188
x[1] = -1.11
y[1] (analytic) = -0.83748371261162694119207424968141
y[1] (numeric) = -0.8374837126116270348950110776018
absolute error = 9.370293682792039e-17
relative error = 1.1188627959786246809800426935957e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.5
Order of pole = 2.187
x[1] = -1.109
y[1] (analytic) = -0.83703548113903875623227319276935
y[1] (numeric) = -0.8370354811390388504347169906215
absolute error = 9.420244379785215e-17
relative error = 1.1254295178701548729309442374615e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.499
Order of pole = 2.187
x[1] = -1.108
y[1] (analytic) = -0.83658680360140989386239040651503
y[1] (numeric) = -0.8365868036014099885662667230241
absolute error = 9.470387631650907e-17
relative error = 1.1320268967765183885649495421500e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.498
Order of pole = 2.187
x[1] = -1.107
y[1] (analytic) = -0.83613767951346307511130715473607
y[1] (numeric) = -0.83613767951346317031854551336347
absolute error = 9.520723835862740e-17
relative error = 1.1386550408065233013575167598777e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=133.5MB, alloc=4.3MB, time=7.79
Complex estimate of poles used
Radius of convergence = 1.497
Order of pole = 2.187
x[1] = -1.106
y[1] (analytic) = -0.83568810838967518608873309084051
y[1] (numeric) = -0.83568810838967528180126697285671
absolute error = 9.571253388201620e-17
relative error = 1.1453140582130451128015687422877e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.497
Order of pole = 2.187
x[1] = -1.105
y[1] (analytic) = -0.83523808974427891973445344095598
y[1] (numeric) = -0.83523808974427901595422026823254
absolute error = 9.621976682727656e-17
relative error = 1.1520040573908181342954231275905e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.496
Order of pole = 2.187
x[1] = -1.104
y[1] (analytic) = -0.83478762309126442795444724084365
y[1] (numeric) = -0.83478762309126452468338835836242
absolute error = 9.672894111751877e-17
relative error = 1.1587251468741976212961814524620e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.495
Order of pole = 2.187
x[1] = -1.103
y[1] (analytic) = -0.83433670794438098418371622349463
y[1] (numeric) = -0.83433670794438108142377688157195
absolute error = 9.724006065807732e-17
relative error = 1.1654774353348910880107329040045e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.494
Order of pole = 2.187
x[1] = -1.102
y[1] (analytic) = -0.83388534381713865641574472785561
y[1] (numeric) = -0.83388534381713875416887406407943
absolute error = 9.775312933622382e-17
relative error = 1.1722610315796597418866755858396e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.494
Order of pole = 2.187
x[1] = -1.101
y[1] (analytic) = -0.83343353022280999073859140814839
y[1] (numeric) = -0.83343353022281008900674242902616
absolute error = 9.826815102087777e-17
relative error = 1.1790760445479890609082737129165e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.493
Order of pole = 2.187
x[1] = -1.1
y[1] (analytic) = -0.83298126667443170541769356183636
y[1] (numeric) = -0.83298126667443180420282312415153
absolute error = 9.878512956231517e-17
relative error = 1.1859225833097282522138537553712e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.492
Order of pole = 2.187
x[1] = -1.099
y[1] (analytic) = -0.83252855268480639556554455650889
y[1] (numeric) = -0.83252855268480649486961334838387
absolute error = 9.930406879187498e-17
relative error = 1.1928007570626985690792748075992e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.491
Order of pole = 2.187
x[1] = -1.098
y[1] (analytic) = -0.8320753877665042484384841158165
y[1] (numeric) = -0.83207538776650434826345663747996
absolute error = 9.982497252166346e-17
relative error = 1.1997106751302707030025940163261e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.491
Order of pole = 2.186
x[1] = -1.097
y[1] (analytic) = -0.83162177143186476940092011606585
y[1] (numeric) = -0.83162177143186486974876466032211
absolute error = 1.0034784454425626e-16
relative error = 1.2066524469589095440444337984791e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.49
Order of pole = 2.186
x[1] = -1.096
y[1] (analytic) = -0.83116770319299851859737904209964
y[1] (numeric) = -0.83116770319299861947006767449803
absolute error = 1.0087268863239839e-16
relative error = 1.2136261821156877226745170087940e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.489
Order of pole = 2.186
x[1] = -1.095
y[1] (analytic) = -0.83071318256178885837286034752405
y[1] (numeric) = -0.83071318256178895977236888622607
absolute error = 1.0139950853870202e-16
relative error = 1.2206319902857671851461802026706e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.488
Order of pole = 2.186
x[1] = -1.094
y[1] (analytic) = -0.83025820904989371148204765404158
y[1] (numeric) = -0.83025820904989381341035564938355
absolute error = 1.0192830799534197e-16
relative error = 1.2276699812698469665589917799029e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.488
Order of pole = 2.186
x[1] = -1.093
y[1] (analytic) = -0.829802782168747330128007001391
y[1] (numeric) = -0.82980278216874743258709771514016
absolute error = 1.0245909071374916e-16
relative error = 1.2347402649815802580459539040892e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.487
Order of pole = 2.186
x[1] = -1.092
y[1] (analytic) = -0.82934690142956207587107921693591
y[1] (numeric) = -0.8293469014295621788629396012376
absolute error = 1.0299186038430169e-16
relative error = 1.2418429514449566429035665866523e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.486
Order of pole = 2.186
x[1] = -1.091
y[1] (analytic) = -0.8288905663433302104487499059786
y[1] (numeric) = -0.82889056634333031397537058199237
absolute error = 1.0352662067601377e-16
relative error = 1.2489781507916519931085952632522e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.485
Order of pole = 2.186
x[1] = -1.09
y[1] (analytic) = -0.82843377642082569754735656406296
y[1] (numeric) = -0.82843377642082580161073180028539
absolute error = 1.0406337523622243e-16
relative error = 1.2561459732583450274270973819907e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.485
Order of pole = 2.185
x[1] = -1.089
y[1] (analytic) = -0.82797653117260601556656787447792
y[1] (numeric) = -0.82797653117260612016869556474986
absolute error = 1.0460212769027194e-16
relative error = 1.2633465291839995272978299937615e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.484
Order of pole = 2.185
x[1] = -1.088
y[1] (analytic) = -0.82751883010901398141764537144525
y[1] (numeric) = -0.82751883010901408656052701264126
absolute error = 1.0514288164119601e-16
relative error = 1.2705799290071128934064079481699e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.483
Order of pole = 2.185
x[1] = -1.087
y[1] (analytic) = -0.82706067274017958539657231559006
y[1] (numeric) = -0.82706067274017969108221298498777
absolute error = 1.0568564066939771e-16
relative error = 1.2778462832629301564152882987269e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.482
Order of pole = 2.185
x[1] = -1.086
y[1] (analytic) = -0.82660205857602183717320883672012
y[1] (numeric) = -0.82660205857602194340361716904726
absolute error = 1.0623040833232714e-16
relative error = 1.2851457025806236395364200005279e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.482
Order of pole = 2.185
x[1] = -1.085
y[1] (analytic) = -0.82614298712625062293770614310606
y[1] (numeric) = -0.82614298712625072971489430726289
absolute error = 1.0677718816415683e-16
relative error = 1.2924782976804378656359383011562e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.481
Order of pole = 2.185
x[1] = -1.084
y[1] (analytic) = -0.82568345790036857374548586973706
y[1] (numeric) = -0.82568345790036868107146954519187
absolute error = 1.0732598367545481e-16
relative error = 1.2998441793707988146461584791156e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.48
Order of pole = 2.185
x[1] = -1.083
y[1] (analytic) = -0.82522347040767294510216343375631
y[1] (numeric) = -0.82522347040767305297896178661175
absolute error = 1.0787679835285544e-16
relative error = 1.3072434585453884500997815705585e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.479
Order of pole = 2.185
x[1] = -1.082
y[1] (analytic) = -0.82476302415725750782986657674292
y[1] (numeric) = -0.82476302415725761625950223547079
absolute error = 1.0842963565872787e-16
relative error = 1.3146762461801827695934393742979e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.479
Order of pole = 2.184
x[1] = -1.081
memory used=137.3MB, alloc=4.3MB, time=8.01
y[1] (analytic) = -0.8243021186580144502564720939379
y[1] (numeric) = -0.82430211865801455924097112478019
absolute error = 1.0898449903084229e-16
relative error = 1.3221426533304551436420392597153e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.478
Order of pole = 2.184
x[1] = -1.08
y[1] (analytic) = -0.82384075341863629176935507310251
y[1] (numeric) = -0.82384075341863640131074695513624
absolute error = 1.0954139188203373e-16
relative error = 1.3296427911277418592867631713946e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.477
Order of pole = 2.184
x[1] = -1.079
y[1] (analytic) = -0.82337892794761780777531578358861
y[1] (numeric) = -0.82337892794761791787563338345227
absolute error = 1.1010031759986366e-16
relative error = 1.3371767707767727213990730313883e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.476
Order of pole = 2.184
x[1] = -1.078
y[1] (analytic) = -0.82291664175325796610841966248861
y[1] (numeric) = -0.82291664175325807676969920876778
absolute error = 1.1066127954627917e-16
relative error = 1.3447447035523638653299230746960e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.476
Order of pole = 2.184
x[1] = -1.077
y[1] (analytic) = -0.8224538943436618749275556324629
y[1] (numeric) = -0.82245389434366198615183668973269
absolute error = 1.1122428105726979e-16
relative error = 1.3523467007962733255078473947545e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.475
Order of pole = 2.184
x[1] = -1.076
y[1] (analytic) = -0.82199068522674274214558724801428
y[1] (numeric) = -0.82199068522674285393491269053632
absolute error = 1.1178932544252204e-16
relative error = 1.3599828739140202712853109855928e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.474
Order of pole = 2.184
x[1] = -1.075
y[1] (analytic) = -0.82152701391022384643203989654275
y[1] (numeric) = -0.82152701391022395878845588161431
absolute error = 1.1235641598507156e-16
relative error = 1.3676533343716659033372740269820e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.473
Order of pole = 2.183
x[1] = -1.074
y[1] (analytic) = -0.82106287990164051983133547037153
y[1] (numeric) = -0.82106287990164063275689141132439
absolute error = 1.1292555594095286e-16
relative error = 1.3753581936925563082054242437018e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.473
Order of pole = 2.183
x[1] = -1.073
y[1] (analytic) = -0.82059828270834214203865356894012
y[1] (numeric) = -0.82059828270834225553540210778685
absolute error = 1.1349674853884673e-16
relative error = 1.3830975634540275691858340206664e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.472
Order of pole = 2.183
x[1] = -1.072
y[1] (analytic) = -0.82013322183749414637556537931749
y[1] (numeric) = -0.82013322183749426044556235904271
absolute error = 1.1406999697972522e-16
relative error = 1.3908715552840718472606674929872e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.471
Order of pole = 2.183
x[1] = -1.071
y[1] (analytic) = -0.81966769679608003750765291085383
y[1] (numeric) = -0.81966769679608015215295734734811
absolute error = 1.1464530443649428e-16
relative error = 1.3986802808579653352025922078986e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.47
Order of pole = 2.183
x[1] = -1.07
y[1] (analytic) = -0.81920170709090342094639221886951
y[1] (numeric) = -0.81920170709090353616906627250344
absolute error = 1.1522267405363393e-16
relative error = 1.4065238518948563057865562434769e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.47
Order of pole = 2.183
x[1] = -1.069
y[1] (analytic) = -0.81873525222859004437764463543247
y[1] (numeric) = -0.81873525222859016017975358226856
absolute error = 1.1580210894683609e-16
relative error = 1.4144023801543146418137605952623e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.469
Order of pole = 2.183
x[1] = -1.068
y[1] (analytic) = -0.8182683317155898508591648251087
y[1] (numeric) = -0.81826833171558996724277702774862
absolute error = 1.1638361220263992e-16
relative error = 1.4223159774328408193451473010881e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.468
Order of pole = 2.182
x[1] = -1.067
y[1] (analytic) = -0.81780094505817904392959869264274
y[1] (numeric) = -0.81780094505817916089678557070755
absolute error = 1.1696718687806481e-16
relative error = 1.4302647555603358515993136746663e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.467
Order of pole = 2.182
x[1] = -1.066
y[1] (analytic) = -0.81733309176246216467150778034594
y[1] (numeric) = -0.81733309176246228222434378058676
absolute error = 1.1755283600024082e-16
relative error = 1.4382488263965295472044536152885e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.467
Order of pole = 2.182
x[1] = -1.065
y[1] (analytic) = -0.81686477133437418077101979799745
y[1] (numeric) = -0.81686477133437429891158236403427
absolute error = 1.1814056256603682e-16
relative error = 1.4462683018273699324479488213307e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.466
Order of pole = 2.182
x[1] = -1.064
y[1] (analytic) = -0.81639598327968258761676731970674
y[1] (numeric) = -0.81639598327968270634713686139284
absolute error = 1.1873036954168610e-16
relative error = 1.4543232937613708199363834553968e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.465
Order of pole = 2.182
x[1] = -1.063
y[1] (analytic) = -0.81592672710398952148083845280427
y[1] (numeric) = -0.81592672710398964080309831521377
absolute error = 1.1932225986240950e-16
relative error = 1.4624139141259179230969422793085e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.465
Order of pole = 2.182
x[1] = -1.062
y[1] (analytic) = -0.81545700231273388482452442572805
y[1] (numeric) = -0.81545700231273400474076085776417
absolute error = 1.1991623643203612e-16
relative error = 1.4705402748635340395924432250938e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.464
Order of pole = 2.181
x[1] = -1.061
y[1] (analytic) = -0.8149868084111934837717095473155
y[1] (numeric) = -0.81498680841119360428401166993704
absolute error = 1.2051230212262154e-16
relative error = 1.4787024879281022331921590583345e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.463
Order of pole = 2.181
x[1] = -1.06
y[1] (analytic) = -0.8145161449044871777928088510994
y[1] (numeric) = -0.81451614490448729890326862516298
absolute error = 1.2111045977406358e-16
relative error = 1.4869006652810471655939280307840e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.462
Order of pole = 2.181
x[1] = -1.059
y[1] (analytic) = -0.81404501129757704164221794730035
y[1] (numeric) = -0.81404501129757716335293014101587
absolute error = 1.2171071219371552e-16
relative error = 1.4951349188874733782767304271104e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.462
Order of pole = 2.181
x[1] = -1.058
y[1] (analytic) = -0.81357340709527053959229815431042
y[1] (numeric) = -0.81357340709527066190536031030731
absolute error = 1.2231306215599689e-16
relative error = 1.5034053607122616534330616192795e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.461
Order of pole = 2.181
x[1] = -1.057
y[1] (analytic) = -0.81310133180222271200697786262905
y[1] (numeric) = -0.81310133180222283492449026463076
absolute error = 1.2291751240200171e-16
relative error = 1.5117121027161217587347692057808e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.46
Order of pole = 2.181
x[1] = -1.056
y[1] (analytic) = -0.81262878492293837429810828944388
y[1] (numeric) = -0.8126287849229384978221739285481
absolute error = 1.2352406563910422e-16
relative error = 1.5200552568516018408696795131147e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.459
Order of pole = 2.181
memory used=141.1MB, alloc=4.3MB, time=8.24
x[1] = -1.055
y[1] (analytic) = -0.81215576596177432830776830329865
y[1] (numeric) = -0.81215576596177445244049284386078
absolute error = 1.2413272454056213e-16
relative error = 1.5284349350590546100124651401994e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.459
Order of pole = 2.18
x[1] = -1.054
y[1] (analytic) = -0.8116822744229415861597688274566
y[1] (numeric) = -0.81168227442294171090326057257393
absolute error = 1.2474349174511733e-16
relative error = 1.5368512492625593483704325625216e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.458
Order of pole = 2.18
x[1] = -1.053
y[1] (analytic) = -0.8112083098105076066236624594993
y[1] (numeric) = -0.81120830981050773198003231609332
absolute error = 1.2535636985659402e-16
relative error = 1.5453043113657990170927592913471e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.457
Order of pole = 2.18
x[1] = -1.052
y[1] (analytic) = -0.81073387162839854403461836519281
y[1] (numeric) = -0.81073387162839867000597980868719
absolute error = 1.2597136144349438e-16
relative error = 1.5537942332478937050573003486543e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.456
Order of pole = 2.18
x[1] = -1.051
y[1] (analytic) = -0.81025895938040150981257620845091
y[1] (numeric) = -0.81025895938040163640104524704257
absolute error = 1.2658846903859166e-16
relative error = 1.5623211267591887059513764155437e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.456
Order of pole = 2.18
x[1] = -1.05
y[1] (analytic) = -0.80978357257016684662414585801889
y[1] (numeric) = -0.80978357257016697383184099653957
absolute error = 1.2720769513852068e-16
relative error = 1.5708851037169968595075865445121e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.455
Order of pole = 2.18
x[1] = -1.049
y[1] (analytic) = -0.80930771070121041523077185693212
y[1] (numeric) = -0.80930771070121054305981406029799
absolute error = 1.2782904220336587e-16
relative error = 1.5794862759012965199898396955731e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.454
Order of pole = 2.18
x[1] = -1.048
y[1] (analytic) = -0.8088313732769158940667331444573
y[1] (numeric) = -0.80883137327691602251924580070388
absolute error = 1.2845251265624658e-16
relative error = 1.5881247550503815751045453233103e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.453
Order of pole = 2.179
x[1] = -1.047
y[1] (analytic) = -0.80835455980053709159059927363556
y[1] (numeric) = -0.80835455980053722066870815653561
absolute error = 1.2907810888290005e-16
relative error = 1.5968006528564680854509943978938e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.453
Order of pole = 2.179
x[1] = -1.046
y[1] (analytic) = -0.80787726977520027145381436219776
y[1] (numeric) = -0.80787726977520040115964759345932
absolute error = 1.2970583323126156e-16
relative error = 1.6055140809612513662838515285750e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.452
Order of pole = 2.179
x[1] = -1.045
y[1] (analytic) = -0.80739950270390649053012924194074
y[1] (numeric) = -0.80739950270390662086581725298291
absolute error = 1.3033568801104217e-16
relative error = 1.6142651509514183262509589765412e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.451
Order of pole = 2.179
x[1] = -1.044
y[1] (analytic) = -0.80692125808953394984965072301643
y[1] (numeric) = -0.80692125808953408081732621632021
absolute error = 1.3096767549330378e-16
relative error = 1.6230539743541114724937667866928e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.451
Order of pole = 2.179
x[1] = -1.043
y[1] (analytic) = -0.80644253543484035848132455631469
y[1] (numeric) = -0.80644253543484049008312246634632
absolute error = 1.3160179791003163e-16
relative error = 1.6318806626323458095649794686102e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.45
Order of pole = 2.179
x[1] = -1.042
y[1] (analytic) = -0.80596333424246531040771555048592
y[1] (numeric) = -0.8059633342424654426457730041901
absolute error = 1.3223805745370418e-16
relative error = 1.6407453271803776311059839447712e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.449
Order of pole = 2.179
x[1] = -1.041
y[1] (analytic) = -0.80548365401493267443599437136622
y[1] (numeric) = -0.80548365401493280731245064822662
absolute error = 1.3287645627686040e-16
relative error = 1.6496480793190253148173328116450e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.448
Order of pole = 2.178
x[1] = -1.04
y[1] (analytic) = -0.80500349425465299718908581179884
y[1] (numeric) = -0.80500349425465313070608230346324
absolute error = 1.3351699649166440e-16
relative error = 1.6585890302909409885511285024088e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.448
Order of pole = 2.178
x[1] = -1.039
y[1] (analytic) = -0.80452285446392591922097776019939
y[1] (numeric) = -0.8045228544639260533806579296669
absolute error = 1.3415968016946751e-16
relative error = 1.6675682912558341662912934034693e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.447
Order of pole = 2.178
x[1] = -1.038
y[1] (analytic) = -0.80404173414494260430023370774418
y[1] (numeric) = -0.80404173414494273910474304811184
absolute error = 1.3480450934036766e-16
relative error = 1.6765859732856452233594338803248e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.446
Order of pole = 2.178
x[1] = -1.037
y[1] (analytic) = -0.80356013279978818190579440777151
y[1] (numeric) = -0.80356013279978831735728040053769
absolute error = 1.3545148599276618e-16
relative error = 1.6856421873596699290052671850404e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.445
Order of pole = 2.178
x[1] = -1.036
y[1] (analytic) = -0.80307804993044420297919622782263
y[1] (numeric) = -0.80307804993044433907980830074455
absolute error = 1.3610061207292192e-16
relative error = 1.6947370443596335198815552080831e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.445
Order of pole = 2.178
x[1] = -1.035
y[1] (analytic) = -0.80259548503879110897737480560451
y[1] (numeric) = -0.8025954850387912457292642901073
absolute error = 1.3675188948450279e-16
relative error = 1.7038706550647152814920627571899e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.444
Order of pole = 2.178
x[1] = -1.034
y[1] (analytic) = -0.80211243762661071427026282587016
y[1] (numeric) = -0.80211243762661085167558291400472
absolute error = 1.3740532008813456e-16
relative error = 1.7130431301465213668580997759868e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.443
Order of pole = 2.177
x[1] = -1.033
y[1] (analytic) = -0.80162890719558870192743006656715
y[1] (numeric) = -0.80162890719558883998833576751425
absolute error = 1.3806090570094710e-16
relative error = 1.7222545801640078110071829849372e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.443
Order of pole = 2.177
x[1] = -1.032
y[1] (analytic) = -0.80114489324731713293805231033253
y[1] (numeric) = -0.80114489324731727165670040645041
absolute error = 1.3871864809611788e-16
relative error = 1.7315051155583512146941160429154e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.442
Order of pole = 2.177
x[1] = -1.031
y[1] (analytic) = -0.80066039528329696890853327218613
y[1] (numeric) = -0.80066039528329710828708227459902
absolute error = 1.3937854900241289e-16
relative error = 1.7407948466477688039672451834482e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.441
Order of pole = 2.177
x[1] = -1.03
y[1] (analytic) = -0.80017541280494060828214034671685
y[1] (numeric) = -0.80017541280494074832275045044164
absolute error = 1.4004061010372479e-16
relative error = 1.7501238836222852053194255676006e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.44
memory used=144.9MB, alloc=4.4MB, time=8.46
Order of pole = 2.177
x[1] = -1.029
y[1] (analytic) = -0.79968994531357443612505071873144
y[1] (numeric) = -0.79968994531357457682988375733991
absolute error = 1.4070483303860847e-16
relative error = 1.7594923365384478889547726270574e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.44
Order of pole = 2.177
x[1] = -1.028
y[1] (analytic) = -0.79920399231044138752323920075595
y[1] (numeric) = -0.79920399231044152889445860056987
absolute error = 1.4137121939981392e-16
relative error = 1.7689003153139897375833299117943e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.439
Order of pole = 2.177
x[1] = -1.027
y[1] (analytic) = -0.79871755329670352463467304940031
y[1] (numeric) = -0.79871755329670366667444378321667
absolute error = 1.4203977073381636e-16
relative error = 1.7783479297224378155422594735514e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.438
Order of pole = 2.177
x[1] = -1.026
y[1] (analytic) = -0.7982306277734446274413119608184
y[1] (numeric) = -0.79823062777344477015180050116212
absolute error = 1.4271048854034372e-16
relative error = 1.7878352893876691612750209219650e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.437
Order of pole = 2.177
x[1] = -1.025
y[1] (analytic) = -0.79774321524167279824544344366491
y[1] (numeric) = -0.79774321524167294162881771556638
absolute error = 1.4338337427190147e-16
relative error = 1.7973625037784133008896032329551e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.437
Order of pole = 2.176
x[1] = -1.024
y[1] (analytic) = -0.7972553152023230799549148063568
y[1] (numeric) = -0.79725531520232322401334413965148
absolute error = 1.4405842933329468e-16
relative error = 1.8069296822026996727325604502486e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.436
Order of pole = 2.176
x[1] = -1.023
y[1] (analytic) = -0.7967669271562600882018530643258
y[1] (numeric) = -0.79676692715626023293750814547323
absolute error = 1.4473565508114743e-16
relative error = 1.8165369338022511550634888656249e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.435
Order of pole = 2.176
x[1] = -1.022
y[1] (analytic) = -0.79627805060428065733949316247976
y[1] (numeric) = -0.79627805060428080275454598589924
absolute error = 1.4541505282341948e-16
relative error = 1.8261843675468222563157425505848e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.435
Order of pole = 2.176
x[1] = -1.021
y[1] (analytic) = -0.79578868504711650036176300839759
y[1] (numeric) = -0.79578868504711664645838682731786
absolute error = 1.4609662381892027e-16
relative error = 1.8358720922284825297589724987970e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.434
Order of pole = 2.176
x[1] = -1.02
y[1] (analytic) = -0.79529882998543688279030091293498
y[1] (numeric) = -0.79529882998543702957067018975516
absolute error = 1.4678036927682018e-16
relative error = 1.8456002164558440156066776336271e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.433
Order of pole = 2.176
x[1] = -1.019
y[1] (analytic) = -0.79480848491985131057360712692719
y[1] (numeric) = -0.79480848491985145803989748308629
absolute error = 1.4746629035615910e-16
relative error = 1.8553688486482330163117362195860e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.432
Order of pole = 2.176
x[1] = -1.018
y[1] (analytic) = -0.79431764935091223204305623549979
y[1] (numeric) = -0.794317649350912380197444400852
absolute error = 1.4815438816535221e-16
relative error = 1.8651780970298046226761494782524e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.432
Order of pole = 2.176
x[1] = -1.017
y[1] (analytic) = -0.79382632277911775397052121503755
y[1] (numeric) = -0.79382632277911790281518497673073
absolute error = 1.4884466376169318e-16
relative error = 1.8750280696236023044889369344953e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.431
Order of pole = 2.176
x[1] = -1.016
y[1] (analytic) = -0.79333450470491437177238296196316
y[1] (numeric) = -0.79333450470491452130950111281765
absolute error = 1.4953711815085449e-16
relative error = 1.8849188742455584610741761393478e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.43
Order of pole = 2.176
x[1] = -1.015
y[1] (analytic) = -0.79284219462869971390472105692811
y[1] (numeric) = -0.79284219462869986413647334331323
absolute error = 1.5023175228638512e-16
relative error = 1.8948506184984387426003311540333e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.43
Order of pole = 2.176
x[1] = -1.014
y[1] (analytic) = -0.79234939205082530049450242255327
y[1] (numeric) = -0.79234939205082545142306949175875
absolute error = 1.5092856706920548e-16
relative error = 1.9048234097657281698396181079976e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.429
Order of pole = 2.176
x[1] = -1.013
y[1] (analytic) = -0.79185609647159931625160435715196
y[1] (numeric) = -0.79185609647159946787916770425153
absolute error = 1.5162756334709957e-16
relative error = 1.9148373552054585844245054221469e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.428
Order of pole = 2.175
x[1] = -1.012
y[1] (analytic) = -0.79136230739128939770652717054556
y[1] (numeric) = -0.79136230739128955003526908475008
absolute error = 1.5232874191420452e-16
relative error = 1.9248925617439789798649385272463e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.427
Order of pole = 2.175
x[1] = -1.011
y[1] (analytic) = -0.79086802431012543481866930070553
y[1] (numeric) = -0.79086802431012558785077281120275
absolute error = 1.5303210351049722e-16
relative error = 1.9349891360696647065440010452991e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.427
Order of pole = 2.175
x[1] = -1.01
y[1] (analytic) = -0.79037324672830238700005434103398
y[1] (numeric) = -0.79037324672830254073770316231233
absolute error = 1.5373764882127835e-16
relative error = 1.9451271846265691139269335926941e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.426
Order of pole = 2.175
x[1] = -1.009
y[1] (analytic) = -0.78987797414598311359941484708087
y[1] (numeric) = -0.78987797414598326804479332373449
absolute error = 1.5444537847665362e-16
relative error = 1.9553068136080148796595653538782e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.425
Order of pole = 2.175
x[1] = -1.008
y[1] (analytic) = -0.78938220606330121889155210778431
y[1] (numeric) = -0.78938220606330137404684515879654
absolute error = 1.5515529305101223e-16
relative error = 1.9655281289501247937577975921949e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.424
Order of pole = 2.175
x[1] = -1.007
y[1] (analytic) = -0.78888594198036391161690424925101
y[1] (numeric) = -0.78888594198036406748429731175364
absolute error = 1.5586739306250263e-16
relative error = 1.9757912363252926509153454659006e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.424
Order of pole = 2.175
x[1] = -1.006
y[1] (analytic) = -0.78838918139725487911626707794983
y[1] (numeric) = -0.78838918139725503569794605045538
absolute error = 1.5658167897250555e-16
relative error = 1.9860962411355935106552500634169e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.423
Order of pole = 2.175
x[1] = -1.005
y[1] (analytic) = -0.78789192381403717610562295419854
y[1] (numeric) = -0.78789192381403733340377413930271
absolute error = 1.5729815118510417e-16
relative error = 1.9964432485061313107672667629325e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.422
Order of pole = 2.175
x[1] = -1.004
y[1] (analytic) = -0.78739416873075612813604270515221
y[1] (numeric) = -0.7873941687307562861528527517039
absolute error = 1.5801681004655169e-16
relative error = 2.0068323632783267609782774595574e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=148.7MB, alloc=4.4MB, time=8.69
Complex estimate of poles used
Radius of convergence = 1.422
Order of pole = 2.175
x[1] = -1.003
y[1] (analytic) = -0.78689591564744224978363412826506
y[1] (numeric) = -0.7868959156474424085212899730011
absolute error = 1.5873765584473604e-16
relative error = 2.0172636900031418489922270736735e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.421
Order of pole = 2.175
x[1] = -1.002
y[1] (analytic) = -0.7863971640641141776145179904516
y[1] (numeric) = -0.78639716406411433707520679909344
absolute error = 1.5946068880864184e-16
relative error = 2.0277373329342419760820309997789e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.42
Order of pole = 2.175
x[1] = -1.001
y[1] (analytic) = -0.78589791348078161796981858391858
y[1] (numeric) = -0.78589791348078177815572769172827
absolute error = 1.6018590910780969e-16
relative error = 2.0382533960210963614411582017232e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.419
Order of pole = 2.175
x[1] = -1
y[1] (analytic) = -0.78539816339744830961566084581988
y[1] (numeric) = -0.78539816339744847052897769761248
absolute error = 1.6091331685179260e-16
relative error = 2.0488119829020139186081650372225e-14 %
h = 0.001
Finished!
Maximum Iterations Reached before Solution Completed!
diff ( y , x , 1 ) = 1.0/ (x * x + 1.0) ;
Iterations = 1000
Total Elapsed Time = 8 Seconds
Elapsed Time(since restart) = 8 Seconds
Expected Time Remaining = 17 Seconds
Optimized Time Remaining = 17 Seconds
Time to Timeout = 14 Minutes 51 Seconds
Percent Done = 33.37 %
> quit
memory used=149.4MB, alloc=4.4MB, time=8.73