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> #BEGIN OUTFILE1
>
> # Begin Function number 3
> display_alot := proc(iter)
> global
> glob_max_terms,
> glob_iolevel,
> INFO,
> DEBUGL,
> ALWAYS,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> glob_max_rel_trunc_err,
> hours_in_day,
> min_in_hour,
> djd_debug2,
> glob_log10normmin,
> glob_log10abserr,
> glob_warned2,
> glob_optimal_clock_start_sec,
> glob_last_good_h,
> glob_large_float,
> glob_reached_optimal_h,
> glob_not_yet_start_msg,
> glob_initial_pass,
> glob_not_yet_finished,
> djd_debug,
> glob_subiter_method,
> glob_iter,
> glob_orig_start_sec,
> glob_optimal_start,
> glob_max_trunc_err,
> glob_log10_relerr,
> days_in_year,
> glob_warned,
> glob_no_eqs,
> glob_max_iter,
> glob_relerr,
> glob_log10_abserr,
> glob_hmin,
> glob_clock_start_sec,
> glob_clock_sec,
> glob_html_log,
> glob_max_minutes,
> glob_curr_iter_when_opt,
> glob_start,
> glob_max_sec,
> glob_dump,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_max_hours,
> glob_dump_analytic,
> glob_hmax,
> centuries_in_millinium,
> sec_in_min,
> glob_smallish_float,
> glob_abserr,
> glob_h,
> glob_almost_1,
> glob_display_flag,
> glob_optimal_expect_sec,
> glob_log10relerr,
> glob_optimal_done,
> years_in_century,
> glob_percent_done,
> glob_normmax,
> glob_unchanged_h_cnt,
> glob_small_float,
> glob_look_poles,
> glob_hmin_init,
> glob_disp_incr,
> glob_max_opt_iter,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> #END CONST
> array_pole,
> array_y_init,
> array_1st_rel_error,
> array_m1,
> array_type_pole,
> array_last_rel_error,
> array_norms,
> array_tmp1_a1,
> array_tmp1_a2,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_fact_1,
> array_poles,
> array_complex_pole,
> array_y_higher_work,
> array_real_pole,
> array_y_higher_work2,
> array_fact_2,
> array_y_set_initial,
> array_y_higher,
> glob_last;
>
> local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
> #TOP DISPLAY ALOT
> if (iter >= 0) then # if number 1
> ind_var := array_x[1];
> omniout_float(ALWAYS,"x[1] ",33,ind_var,20," ");
> analytic_val_y := exact_soln_y(ind_var);
> omniout_float(ALWAYS,"y[1] (analytic) ",33,analytic_val_y,20," ");
> term_no := 1;
> numeric_val := array_y[term_no];
> abserr := abs(numeric_val - analytic_val_y);
> omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," ");
> if (abs(analytic_val_y) <> 0.0) then # if number 2
> relerr := abserr*100.0/abs(analytic_val_y);
> else
> relerr := -1.0 ;
> fi;# end if 2
> ;
> if glob_iter = 1 then # if number 2
> array_1st_rel_error[1] := relerr;
> else
> array_last_rel_error[1] := relerr;
> fi;# end if 2
> ;
> omniout_float(ALWAYS,"absolute error ",4,abserr,20," ");
> omniout_float(ALWAYS,"relative error ",4,relerr,20,"%");
> omniout_float(ALWAYS,"h ",4,glob_h,20," ");
> #BOTTOM DISPLAY ALOT
> fi;# end if 1
> ;
> # End Function number 3
> end;
display_alot := proc(iter)
local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
global glob_max_terms, glob_iolevel, INFO, DEBUGL, ALWAYS, DEBUGMASSIVE,
glob_max_rel_trunc_err, hours_in_day, min_in_hour, djd_debug2,
glob_log10normmin, glob_log10abserr, glob_warned2,
glob_optimal_clock_start_sec, glob_last_good_h, glob_large_float,
glob_reached_optimal_h, glob_not_yet_start_msg, glob_initial_pass,
glob_not_yet_finished, djd_debug, glob_subiter_method, glob_iter,
glob_orig_start_sec, glob_optimal_start, glob_max_trunc_err,
glob_log10_relerr, days_in_year, glob_warned, glob_no_eqs, glob_max_iter,
glob_relerr, glob_log10_abserr, glob_hmin, glob_clock_start_sec,
glob_clock_sec, glob_html_log, glob_max_minutes, glob_curr_iter_when_opt,
glob_start, glob_max_sec, glob_dump, MAX_UNCHANGED, glob_current_iter,
glob_max_hours, glob_dump_analytic, glob_hmax, centuries_in_millinium,
sec_in_min, glob_smallish_float, glob_abserr, glob_h, glob_almost_1,
glob_display_flag, glob_optimal_expect_sec, glob_log10relerr,
glob_optimal_done, years_in_century, glob_percent_done, glob_normmax,
glob_unchanged_h_cnt, glob_small_float, glob_look_poles, glob_hmin_init,
glob_disp_incr, glob_max_opt_iter, array_const_1, array_const_0D0,
array_pole, array_y_init, array_1st_rel_error, array_m1, array_type_pole,
array_last_rel_error, array_norms, array_tmp1_a1, array_tmp1_a2, array_y,
array_x, array_tmp0, array_tmp1, array_tmp2, array_fact_1, array_poles,
array_complex_pole, array_y_higher_work, array_real_pole,
array_y_higher_work2, array_fact_2, array_y_set_initial, array_y_higher,
glob_last;
if 0 <= iter then
ind_var := array_x[1];
omniout_float(ALWAYS, "x[1] ", 33,
ind_var, 20, " ");
analytic_val_y := exact_soln_y(ind_var);
omniout_float(ALWAYS, "y[1] (analytic) ", 33,
analytic_val_y, 20, " ");
term_no := 1;
numeric_val := array_y[term_no];
abserr := abs(numeric_val - analytic_val_y);
omniout_float(ALWAYS, "y[1] (numeric) ", 33,
numeric_val, 20, " ");
if abs(analytic_val_y) <> 0. then
relerr := abserr*100.0/abs(analytic_val_y)
else relerr := -1.0
end if;
if glob_iter = 1 then array_1st_rel_error[1] := relerr
else array_last_rel_error[1] := relerr
end if;
omniout_float(ALWAYS, "absolute error ", 4,
abserr, 20, " ");
omniout_float(ALWAYS, "relative error ", 4,
relerr, 20, "%");
omniout_float(ALWAYS, "h ", 4,
glob_h, 20, " ")
end if
end proc
> # Begin Function number 4
> adjust_for_pole := proc(h_param)
> global
> glob_max_terms,
> glob_iolevel,
> INFO,
> DEBUGL,
> ALWAYS,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> glob_max_rel_trunc_err,
> hours_in_day,
> min_in_hour,
> djd_debug2,
> glob_log10normmin,
> glob_log10abserr,
> glob_warned2,
> glob_optimal_clock_start_sec,
> glob_last_good_h,
> glob_large_float,
> glob_reached_optimal_h,
> glob_not_yet_start_msg,
> glob_initial_pass,
> glob_not_yet_finished,
> djd_debug,
> glob_subiter_method,
> glob_iter,
> glob_orig_start_sec,
> glob_optimal_start,
> glob_max_trunc_err,
> glob_log10_relerr,
> days_in_year,
> glob_warned,
> glob_no_eqs,
> glob_max_iter,
> glob_relerr,
> glob_log10_abserr,
> glob_hmin,
> glob_clock_start_sec,
> glob_clock_sec,
> glob_html_log,
> glob_max_minutes,
> glob_curr_iter_when_opt,
> glob_start,
> glob_max_sec,
> glob_dump,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_max_hours,
> glob_dump_analytic,
> glob_hmax,
> centuries_in_millinium,
> sec_in_min,
> glob_smallish_float,
> glob_abserr,
> glob_h,
> glob_almost_1,
> glob_display_flag,
> glob_optimal_expect_sec,
> glob_log10relerr,
> glob_optimal_done,
> years_in_century,
> glob_percent_done,
> glob_normmax,
> glob_unchanged_h_cnt,
> glob_small_float,
> glob_look_poles,
> glob_hmin_init,
> glob_disp_incr,
> glob_max_opt_iter,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> #END CONST
> array_pole,
> array_y_init,
> array_1st_rel_error,
> array_m1,
> array_type_pole,
> array_last_rel_error,
> array_norms,
> array_tmp1_a1,
> array_tmp1_a2,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_fact_1,
> array_poles,
> array_complex_pole,
> array_y_higher_work,
> array_real_pole,
> array_y_higher_work2,
> array_fact_2,
> array_y_set_initial,
> array_y_higher,
> glob_last;
>
> local hnew, sz2, tmp;
> #TOP ADJUST FOR POLE
>
> hnew := h_param;
> glob_normmax := glob_small_float;
> if (abs(array_y_higher[1,1]) > glob_small_float) then # if number 1
> tmp := abs(array_y_higher[1,1]);
> if (tmp < glob_normmax) then # if number 2
> glob_normmax := tmp;
> fi;# end if 2
> fi;# end if 1
> ;
> if (glob_look_poles and (abs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1
> sz2 := array_pole[1]/10.0;
> if (sz2 < hnew) then # if number 2
> omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity.");
> omniout_str(INFO,"Reached Optimal");
> newline();
> return(hnew);
> fi;# end if 2
> fi;# end if 1
> ;
> if (not glob_reached_optimal_h) then # if number 1
> glob_reached_optimal_h := true;
> glob_curr_iter_when_opt := glob_current_iter;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> glob_optimal_start := array_x[1];
> fi;# end if 1
> ;
> hnew := sz2;
> #END block
> #BOTTOM ADJUST FOR POLE
> # End Function number 4
> end;
adjust_for_pole := proc(h_param)
local hnew, sz2, tmp;
global glob_max_terms, glob_iolevel, INFO, DEBUGL, ALWAYS, DEBUGMASSIVE,
glob_max_rel_trunc_err, hours_in_day, min_in_hour, djd_debug2,
glob_log10normmin, glob_log10abserr, glob_warned2,
glob_optimal_clock_start_sec, glob_last_good_h, glob_large_float,
glob_reached_optimal_h, glob_not_yet_start_msg, glob_initial_pass,
glob_not_yet_finished, djd_debug, glob_subiter_method, glob_iter,
glob_orig_start_sec, glob_optimal_start, glob_max_trunc_err,
glob_log10_relerr, days_in_year, glob_warned, glob_no_eqs, glob_max_iter,
glob_relerr, glob_log10_abserr, glob_hmin, glob_clock_start_sec,
glob_clock_sec, glob_html_log, glob_max_minutes, glob_curr_iter_when_opt,
glob_start, glob_max_sec, glob_dump, MAX_UNCHANGED, glob_current_iter,
glob_max_hours, glob_dump_analytic, glob_hmax, centuries_in_millinium,
sec_in_min, glob_smallish_float, glob_abserr, glob_h, glob_almost_1,
glob_display_flag, glob_optimal_expect_sec, glob_log10relerr,
glob_optimal_done, years_in_century, glob_percent_done, glob_normmax,
glob_unchanged_h_cnt, glob_small_float, glob_look_poles, glob_hmin_init,
glob_disp_incr, glob_max_opt_iter, array_const_1, array_const_0D0,
array_pole, array_y_init, array_1st_rel_error, array_m1, array_type_pole,
array_last_rel_error, array_norms, array_tmp1_a1, array_tmp1_a2, array_y,
array_x, array_tmp0, array_tmp1, array_tmp2, array_fact_1, array_poles,
array_complex_pole, array_y_higher_work, array_real_pole,
array_y_higher_work2, array_fact_2, array_y_set_initial, array_y_higher,
glob_last;
hnew := h_param;
glob_normmax := glob_small_float;
if glob_small_float < abs(array_y_higher[1, 1]) then
tmp := abs(array_y_higher[1, 1]);
if tmp < glob_normmax then glob_normmax := tmp end if
end if;
if glob_look_poles and glob_small_float < abs(array_pole[1]) and
array_pole[1] <> glob_large_float then
sz2 := array_pole[1]/10.0;
if sz2 < hnew then
omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity.");
omniout_str(INFO, "Reached Optimal");
newline();
return hnew
end if
end if;
if not glob_reached_optimal_h then
glob_reached_optimal_h := true;
glob_curr_iter_when_opt := glob_current_iter;
glob_optimal_clock_start_sec := elapsed_time_seconds();
glob_optimal_start := array_x[1]
end if;
hnew := sz2
end proc
> # Begin Function number 5
> prog_report := proc(x_start,x_end)
> global
> glob_max_terms,
> glob_iolevel,
> INFO,
> DEBUGL,
> ALWAYS,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> glob_max_rel_trunc_err,
> hours_in_day,
> min_in_hour,
> djd_debug2,
> glob_log10normmin,
> glob_log10abserr,
> glob_warned2,
> glob_optimal_clock_start_sec,
> glob_last_good_h,
> glob_large_float,
> glob_reached_optimal_h,
> glob_not_yet_start_msg,
> glob_initial_pass,
> glob_not_yet_finished,
> djd_debug,
> glob_subiter_method,
> glob_iter,
> glob_orig_start_sec,
> glob_optimal_start,
> glob_max_trunc_err,
> glob_log10_relerr,
> days_in_year,
> glob_warned,
> glob_no_eqs,
> glob_max_iter,
> glob_relerr,
> glob_log10_abserr,
> glob_hmin,
> glob_clock_start_sec,
> glob_clock_sec,
> glob_html_log,
> glob_max_minutes,
> glob_curr_iter_when_opt,
> glob_start,
> glob_max_sec,
> glob_dump,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_max_hours,
> glob_dump_analytic,
> glob_hmax,
> centuries_in_millinium,
> sec_in_min,
> glob_smallish_float,
> glob_abserr,
> glob_h,
> glob_almost_1,
> glob_display_flag,
> glob_optimal_expect_sec,
> glob_log10relerr,
> glob_optimal_done,
> years_in_century,
> glob_percent_done,
> glob_normmax,
> glob_unchanged_h_cnt,
> glob_small_float,
> glob_look_poles,
> glob_hmin_init,
> glob_disp_incr,
> glob_max_opt_iter,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> #END CONST
> array_pole,
> array_y_init,
> array_1st_rel_error,
> array_m1,
> array_type_pole,
> array_last_rel_error,
> array_norms,
> array_tmp1_a1,
> array_tmp1_a2,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_fact_1,
> array_poles,
> array_complex_pole,
> array_y_higher_work,
> array_real_pole,
> array_y_higher_work2,
> array_fact_2,
> array_y_set_initial,
> array_y_higher,
> glob_last;
>
> local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec;
> #TOP PROGRESS REPORT
> clock_sec1 := elapsed_time_seconds();
> total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
> glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
> left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1);
> expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h) ,convfloat( clock_sec1) - convfloat(glob_orig_start_sec));
> opt_clock_sec := convfloat( clock_sec1) - convfloat(glob_optimal_clock_start_sec);
> glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec));
> percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h));
> glob_percent_done := percent_done;
> omniout_str_noeol(INFO,"Total Elapsed Time ");
> omniout_timestr(convfloat(total_clock_sec));
> omniout_str_noeol(INFO,"Elapsed Time(since restart) ");
> omniout_timestr(convfloat(glob_clock_sec));
> if convfloat(percent_done) < convfloat(100.0) then # if number 1
> omniout_str_noeol(INFO,"Expected Time Remaining ");
> omniout_timestr(convfloat(expect_sec));
> omniout_str_noeol(INFO,"Optimized Time Remaining ");
> omniout_timestr(convfloat(glob_optimal_expect_sec));
> fi;# end if 1
> ;
> omniout_str_noeol(INFO,"Time to Timeout ");
> omniout_timestr(convfloat(left_sec));
> omniout_float(INFO, "Percent Done ",33,percent_done,4,"%");
> #BOTTOM PROGRESS REPORT
> # End Function number 5
> end;
prog_report := proc(x_start, x_end)
local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec,
percent_done, total_clock_sec;
global glob_max_terms, glob_iolevel, INFO, DEBUGL, ALWAYS, DEBUGMASSIVE,
glob_max_rel_trunc_err, hours_in_day, min_in_hour, djd_debug2,
glob_log10normmin, glob_log10abserr, glob_warned2,
glob_optimal_clock_start_sec, glob_last_good_h, glob_large_float,
glob_reached_optimal_h, glob_not_yet_start_msg, glob_initial_pass,
glob_not_yet_finished, djd_debug, glob_subiter_method, glob_iter,
glob_orig_start_sec, glob_optimal_start, glob_max_trunc_err,
glob_log10_relerr, days_in_year, glob_warned, glob_no_eqs, glob_max_iter,
glob_relerr, glob_log10_abserr, glob_hmin, glob_clock_start_sec,
glob_clock_sec, glob_html_log, glob_max_minutes, glob_curr_iter_when_opt,
glob_start, glob_max_sec, glob_dump, MAX_UNCHANGED, glob_current_iter,
glob_max_hours, glob_dump_analytic, glob_hmax, centuries_in_millinium,
sec_in_min, glob_smallish_float, glob_abserr, glob_h, glob_almost_1,
glob_display_flag, glob_optimal_expect_sec, glob_log10relerr,
glob_optimal_done, years_in_century, glob_percent_done, glob_normmax,
glob_unchanged_h_cnt, glob_small_float, glob_look_poles, glob_hmin_init,
glob_disp_incr, glob_max_opt_iter, array_const_1, array_const_0D0,
array_pole, array_y_init, array_1st_rel_error, array_m1, array_type_pole,
array_last_rel_error, array_norms, array_tmp1_a1, array_tmp1_a2, array_y,
array_x, array_tmp0, array_tmp1, array_tmp2, array_fact_1, array_poles,
array_complex_pole, array_y_higher_work, array_real_pole,
array_y_higher_work2, array_fact_2, array_y_set_initial, array_y_higher,
glob_last;
clock_sec1 := elapsed_time_seconds();
total_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
glob_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec)
- convfloat(clock_sec1);
expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h),
convfloat(clock_sec1) - convfloat(glob_orig_start_sec));
opt_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec);
glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),
convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h),
convfloat(opt_clock_sec));
percent_done := comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h));
glob_percent_done := percent_done;
omniout_str_noeol(INFO, "Total Elapsed Time ");
omniout_timestr(convfloat(total_clock_sec));
omniout_str_noeol(INFO, "Elapsed Time(since restart) ");
omniout_timestr(convfloat(glob_clock_sec));
if convfloat(percent_done) < convfloat(100.0) then
omniout_str_noeol(INFO, "Expected Time Remaining ");
omniout_timestr(convfloat(expect_sec));
omniout_str_noeol(INFO, "Optimized Time Remaining ");
omniout_timestr(convfloat(glob_optimal_expect_sec))
end if;
omniout_str_noeol(INFO, "Time to Timeout ");
omniout_timestr(convfloat(left_sec));
omniout_float(INFO, "Percent Done ", 33,
percent_done, 4, "%")
end proc
> # Begin Function number 6
> check_for_pole := proc()
> global
> glob_max_terms,
> glob_iolevel,
> INFO,
> DEBUGL,
> ALWAYS,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> glob_max_rel_trunc_err,
> hours_in_day,
> min_in_hour,
> djd_debug2,
> glob_log10normmin,
> glob_log10abserr,
> glob_warned2,
> glob_optimal_clock_start_sec,
> glob_last_good_h,
> glob_large_float,
> glob_reached_optimal_h,
> glob_not_yet_start_msg,
> glob_initial_pass,
> glob_not_yet_finished,
> djd_debug,
> glob_subiter_method,
> glob_iter,
> glob_orig_start_sec,
> glob_optimal_start,
> glob_max_trunc_err,
> glob_log10_relerr,
> days_in_year,
> glob_warned,
> glob_no_eqs,
> glob_max_iter,
> glob_relerr,
> glob_log10_abserr,
> glob_hmin,
> glob_clock_start_sec,
> glob_clock_sec,
> glob_html_log,
> glob_max_minutes,
> glob_curr_iter_when_opt,
> glob_start,
> glob_max_sec,
> glob_dump,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_max_hours,
> glob_dump_analytic,
> glob_hmax,
> centuries_in_millinium,
> sec_in_min,
> glob_smallish_float,
> glob_abserr,
> glob_h,
> glob_almost_1,
> glob_display_flag,
> glob_optimal_expect_sec,
> glob_log10relerr,
> glob_optimal_done,
> years_in_century,
> glob_percent_done,
> glob_normmax,
> glob_unchanged_h_cnt,
> glob_small_float,
> glob_look_poles,
> glob_hmin_init,
> glob_disp_incr,
> glob_max_opt_iter,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> #END CONST
> array_pole,
> array_y_init,
> array_1st_rel_error,
> array_m1,
> array_type_pole,
> array_last_rel_error,
> array_norms,
> array_tmp1_a1,
> array_tmp1_a2,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_fact_1,
> array_poles,
> array_complex_pole,
> array_y_higher_work,
> array_real_pole,
> array_y_higher_work2,
> array_fact_2,
> array_y_set_initial,
> array_y_higher,
> glob_last;
>
> local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found;
> #TOP CHECK FOR POLE
> #IN RADII REAL EQ = 1
> #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 1
> #Applies to pole of arbitrary r_order on the real axis,
> #Due to Prof. George Corliss.
> n := glob_max_terms;
> m := n - 1 - 1;
> while ((m >= 10) and ((abs(array_y_higher[1,m]) < glob_small_float) or (abs(array_y_higher[1,m-1]) < glob_small_float) or (abs(array_y_higher[1,m-2]) < glob_small_float ))) do # do number 2
> m := m - 1;
> od;# end do number 2
> ;
> if (m > 10) then # if number 1
> rm0 := array_y_higher[1,m]/array_y_higher[1,m-1];
> rm1 := array_y_higher[1,m-1]/array_y_higher[1,m-2];
> hdrc := convfloat(m-1)*rm0-convfloat(m-2)*rm1;
> if (abs(hdrc) > glob_small_float) then # if number 2
> rcs := glob_h/hdrc;
> ord_no := convfloat(m-1)*rm0/hdrc - convfloat(m) + 2.0;
> array_real_pole[1,1] := rcs;
> array_real_pole[1,2] := ord_no;
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 2
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 1
> ;
> #BOTTOM RADII REAL EQ = 1
> #TOP RADII COMPLEX EQ = 1
> #Computes radius of convergence for complex conjugate pair of poles.
> #from 6 adjacent Taylor series terms
> #Also computes r_order of poles.
> #Due to Manuel Prieto.
> #With a correction by Dennis J. Darland
> n := glob_max_terms - 1 - 1;
> cnt := 0;
> while ((cnt < 5) and (n >= 10)) do # do number 2
> if (abs(array_y_higher[1,n]) > glob_small_float) then # if number 1
> cnt := cnt + 1;
> else
> cnt := 0;
> fi;# end if 1
> ;
> n := n - 1;
> od;# end do number 2
> ;
> m := n + cnt;
> if (m <= 10) then # if number 1
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := glob_large_float;
> elif (abs(array_y_higher[1,m]) >= (glob_large_float)) or (abs(array_y_higher[1,m-1]) >=(glob_large_float)) or (abs(array_y_higher[1,m-2]) >= (glob_large_float)) or (abs(array_y_higher[1,m-3]) >= (glob_large_float)) or (abs(array_y_higher[1,m-4]) >= (glob_large_float)) or (abs(array_y_higher[1,m-5]) >= (glob_large_float)) then # if number 2
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := glob_large_float;
> else
> rm0 := (array_y_higher[1,m])/(array_y_higher[1,m-1]);
> rm1 := (array_y_higher[1,m-1])/(array_y_higher[1,m-2]);
> rm2 := (array_y_higher[1,m-2])/(array_y_higher[1,m-3]);
> rm3 := (array_y_higher[1,m-3])/(array_y_higher[1,m-4]);
> rm4 := (array_y_higher[1,m-4])/(array_y_higher[1,m-5]);
> nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2;
> nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3;
> dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
> dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
> ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
> ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
> if ((abs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (abs(dr1) <= glob_small_float)) then # if number 3
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := glob_large_float;
> else
> if (abs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 4
> rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1));
> #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1)
> ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0;
> if (abs(rcs) > glob_small_float) then # if number 5
> if (rcs > 0.0) then # if number 6
> rad_c := sqrt(rcs) * glob_h;
> else
> rad_c := glob_large_float;
> fi;# end if 6
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 5
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 4
> fi;# end if 3
> ;
> array_complex_pole[1,1] := rad_c;
> array_complex_pole[1,2] := ord_no;
> fi;# end if 2
> ;
> #BOTTOM RADII COMPLEX EQ = 1
> found := false;
> #TOP WHICH RADII EQ = 1
> if not found and ((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float)) and ((array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0)) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> found := true;
> array_type_pole[1] := 2;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"Complex estimate of poles used");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> if not found and ((array_real_pole[1,1] <> glob_large_float) and (array_real_pole[1,2] <> glob_large_float) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float) or (array_complex_pole[1,1] <= 0.0 ) or (array_complex_pole[1,2] <= 0.0))) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found := true;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"Real estimate of pole used");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> if not found and (((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float))) then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> found := true;
> array_type_pole[1] := 3;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"NO POLE");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> if not found and ((array_real_pole[1,1] < array_complex_pole[1,1]) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0)) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found := true;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"Real estimate of pole used");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> if not found and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float) and (array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0)) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> array_type_pole[1] := 2;
> found := true;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"Complex estimate of poles used");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> if not found then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> array_type_pole[1] := 3;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"NO POLE");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> #BOTTOM WHICH RADII EQ = 1
> array_pole[1] := glob_large_float;
> array_pole[2] := glob_large_float;
> #TOP WHICH RADIUS EQ = 1
> if array_pole[1] > array_poles[1,1] then # if number 2
> array_pole[1] := array_poles[1,1];
> array_pole[2] := array_poles[1,2];
> fi;# end if 2
> ;
> #BOTTOM WHICH RADIUS EQ = 1
> #BOTTOM CHECK FOR POLE
> display_pole();
> # End Function number 6
> end;
check_for_pole := proc()
local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs,
rm0, rm1, rm2, rm3, rm4, found;
global glob_max_terms, glob_iolevel, INFO, DEBUGL, ALWAYS, DEBUGMASSIVE,
glob_max_rel_trunc_err, hours_in_day, min_in_hour, djd_debug2,
glob_log10normmin, glob_log10abserr, glob_warned2,
glob_optimal_clock_start_sec, glob_last_good_h, glob_large_float,
glob_reached_optimal_h, glob_not_yet_start_msg, glob_initial_pass,
glob_not_yet_finished, djd_debug, glob_subiter_method, glob_iter,
glob_orig_start_sec, glob_optimal_start, glob_max_trunc_err,
glob_log10_relerr, days_in_year, glob_warned, glob_no_eqs, glob_max_iter,
glob_relerr, glob_log10_abserr, glob_hmin, glob_clock_start_sec,
glob_clock_sec, glob_html_log, glob_max_minutes, glob_curr_iter_when_opt,
glob_start, glob_max_sec, glob_dump, MAX_UNCHANGED, glob_current_iter,
glob_max_hours, glob_dump_analytic, glob_hmax, centuries_in_millinium,
sec_in_min, glob_smallish_float, glob_abserr, glob_h, glob_almost_1,
glob_display_flag, glob_optimal_expect_sec, glob_log10relerr,
glob_optimal_done, years_in_century, glob_percent_done, glob_normmax,
glob_unchanged_h_cnt, glob_small_float, glob_look_poles, glob_hmin_init,
glob_disp_incr, glob_max_opt_iter, array_const_1, array_const_0D0,
array_pole, array_y_init, array_1st_rel_error, array_m1, array_type_pole,
array_last_rel_error, array_norms, array_tmp1_a1, array_tmp1_a2, array_y,
array_x, array_tmp0, array_tmp1, array_tmp2, array_fact_1, array_poles,
array_complex_pole, array_y_higher_work, array_real_pole,
array_y_higher_work2, array_fact_2, array_y_set_initial, array_y_higher,
glob_last;
n := glob_max_terms;
m := n - 2;
while 10 <= m and (abs(array_y_higher[1, m]) < glob_small_float or
abs(array_y_higher[1, m - 1]) < glob_small_float or
abs(array_y_higher[1, m - 2]) < glob_small_float) do m := m - 1
end do;
if 10 < m then
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
hdrc := convfloat(m - 1)*rm0 - convfloat(m - 2)*rm1;
if glob_small_float < abs(hdrc) then
rcs := glob_h/hdrc;
ord_no := convfloat(m - 1)*rm0/hdrc - convfloat(m) + 2.0;
array_real_pole[1, 1] := rcs;
array_real_pole[1, 2] := ord_no
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if;
n := glob_max_terms - 2;
cnt := 0;
while cnt < 5 and 10 <= n do
if glob_small_float < abs(array_y_higher[1, n]) then cnt := cnt + 1
else cnt := 0
end if;
n := n - 1
end do;
m := n + cnt;
if m <= 10 then
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := glob_large_float
elif glob_large_float <= abs(array_y_higher[1, m]) or
glob_large_float <= abs(array_y_higher[1, m - 1]) or
glob_large_float <= abs(array_y_higher[1, m - 2]) or
glob_large_float <= abs(array_y_higher[1, m - 3]) or
glob_large_float <= abs(array_y_higher[1, m - 4]) or
glob_large_float <= abs(array_y_higher[1, m - 5]) then
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := glob_large_float
else
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
rm2 := array_y_higher[1, m - 2]/array_y_higher[1, m - 3];
rm3 := array_y_higher[1, m - 3]/array_y_higher[1, m - 4];
rm4 := array_y_higher[1, m - 4]/array_y_higher[1, m - 5];
nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1
+ convfloat(m - 3)*rm2;
nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2
+ convfloat(m - 4)*rm3;
dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
if abs(nr1*dr2 - nr2*dr1) <= glob_small_float or
abs(dr1) <= glob_small_float then
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := glob_large_float
else
if glob_small_float < abs(nr1*dr2 - nr2*dr1) then
rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1);
ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0;
if glob_small_float < abs(rcs) then
if 0. < rcs then rad_c := sqrt(rcs)*glob_h
else rad_c := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
end if;
array_complex_pole[1, 1] := rad_c;
array_complex_pole[1, 2] := ord_no
end if;
found := false;
if not found and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and
array_complex_pole[1, 1] <> glob_large_float and
array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
found := true;
array_type_pole[1] := 2;
if glob_display_flag then
omniout_str(ALWAYS, "Complex estimate of poles used")
end if
end if;
if not found and array_real_pole[1, 1] <> glob_large_float and
array_real_pole[1, 2] <> glob_large_float and
0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float or
array_complex_pole[1, 1] <= 0. or array_complex_pole[1, 2] <= 0.) then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found := true;
array_type_pole[1] := 1;
if glob_display_flag then
omniout_str(ALWAYS, "Real estimate of pole used")
end if
end if;
if not found and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float) then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
found := true;
array_type_pole[1] := 3;
if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if
end if;
if not found and array_real_pole[1, 1] < array_complex_pole[1, 1] and
0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found := true;
array_type_pole[1] := 1;
if glob_display_flag then
omniout_str(ALWAYS, "Real estimate of pole used")
end if
end if;
if not found and array_complex_pole[1, 1] <> glob_large_float and
array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
array_type_pole[1] := 2;
found := true;
if glob_display_flag then
omniout_str(ALWAYS, "Complex estimate of poles used")
end if
end if;
if not found then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
array_type_pole[1] := 3;
if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if
end if;
array_pole[1] := glob_large_float;
array_pole[2] := glob_large_float;
if array_poles[1, 1] < array_pole[1] then
array_pole[1] := array_poles[1, 1];
array_pole[2] := array_poles[1, 2]
end if;
display_pole()
end proc
> # Begin Function number 7
> get_norms := proc()
> global
> glob_max_terms,
> glob_iolevel,
> INFO,
> DEBUGL,
> ALWAYS,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> glob_max_rel_trunc_err,
> hours_in_day,
> min_in_hour,
> djd_debug2,
> glob_log10normmin,
> glob_log10abserr,
> glob_warned2,
> glob_optimal_clock_start_sec,
> glob_last_good_h,
> glob_large_float,
> glob_reached_optimal_h,
> glob_not_yet_start_msg,
> glob_initial_pass,
> glob_not_yet_finished,
> djd_debug,
> glob_subiter_method,
> glob_iter,
> glob_orig_start_sec,
> glob_optimal_start,
> glob_max_trunc_err,
> glob_log10_relerr,
> days_in_year,
> glob_warned,
> glob_no_eqs,
> glob_max_iter,
> glob_relerr,
> glob_log10_abserr,
> glob_hmin,
> glob_clock_start_sec,
> glob_clock_sec,
> glob_html_log,
> glob_max_minutes,
> glob_curr_iter_when_opt,
> glob_start,
> glob_max_sec,
> glob_dump,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_max_hours,
> glob_dump_analytic,
> glob_hmax,
> centuries_in_millinium,
> sec_in_min,
> glob_smallish_float,
> glob_abserr,
> glob_h,
> glob_almost_1,
> glob_display_flag,
> glob_optimal_expect_sec,
> glob_log10relerr,
> glob_optimal_done,
> years_in_century,
> glob_percent_done,
> glob_normmax,
> glob_unchanged_h_cnt,
> glob_small_float,
> glob_look_poles,
> glob_hmin_init,
> glob_disp_incr,
> glob_max_opt_iter,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> #END CONST
> array_pole,
> array_y_init,
> array_1st_rel_error,
> array_m1,
> array_type_pole,
> array_last_rel_error,
> array_norms,
> array_tmp1_a1,
> array_tmp1_a2,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_fact_1,
> array_poles,
> array_complex_pole,
> array_y_higher_work,
> array_real_pole,
> array_y_higher_work2,
> array_fact_2,
> array_y_set_initial,
> array_y_higher,
> glob_last;
>
> local iii;
> if (not glob_initial_pass) then # if number 2
> set_z(array_norms,glob_max_terms+1);
> #TOP GET NORMS
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> if (abs(array_y[iii]) > array_norms[iii]) then # if number 3
> array_norms[iii] := abs(array_y[iii]);
> fi;# end if 3
> ;
> iii := iii + 1;
> od;# end do number 2
> #GET NORMS
> ;
> fi;# end if 2
> ;
> # End Function number 7
> end;
get_norms := proc()
local iii;
global glob_max_terms, glob_iolevel, INFO, DEBUGL, ALWAYS, DEBUGMASSIVE,
glob_max_rel_trunc_err, hours_in_day, min_in_hour, djd_debug2,
glob_log10normmin, glob_log10abserr, glob_warned2,
glob_optimal_clock_start_sec, glob_last_good_h, glob_large_float,
glob_reached_optimal_h, glob_not_yet_start_msg, glob_initial_pass,
glob_not_yet_finished, djd_debug, glob_subiter_method, glob_iter,
glob_orig_start_sec, glob_optimal_start, glob_max_trunc_err,
glob_log10_relerr, days_in_year, glob_warned, glob_no_eqs, glob_max_iter,
glob_relerr, glob_log10_abserr, glob_hmin, glob_clock_start_sec,
glob_clock_sec, glob_html_log, glob_max_minutes, glob_curr_iter_when_opt,
glob_start, glob_max_sec, glob_dump, MAX_UNCHANGED, glob_current_iter,
glob_max_hours, glob_dump_analytic, glob_hmax, centuries_in_millinium,
sec_in_min, glob_smallish_float, glob_abserr, glob_h, glob_almost_1,
glob_display_flag, glob_optimal_expect_sec, glob_log10relerr,
glob_optimal_done, years_in_century, glob_percent_done, glob_normmax,
glob_unchanged_h_cnt, glob_small_float, glob_look_poles, glob_hmin_init,
glob_disp_incr, glob_max_opt_iter, array_const_1, array_const_0D0,
array_pole, array_y_init, array_1st_rel_error, array_m1, array_type_pole,
array_last_rel_error, array_norms, array_tmp1_a1, array_tmp1_a2, array_y,
array_x, array_tmp0, array_tmp1, array_tmp2, array_fact_1, array_poles,
array_complex_pole, array_y_higher_work, array_real_pole,
array_y_higher_work2, array_fact_2, array_y_set_initial, array_y_higher,
glob_last;
if not glob_initial_pass then
set_z(array_norms, glob_max_terms + 1);
iii := 1;
while iii <= glob_max_terms do
if array_norms[iii] < abs(array_y[iii]) then
array_norms[iii] := abs(array_y[iii])
end if;
iii := iii + 1
end do
end if
end proc
> # Begin Function number 8
> atomall := proc()
> global
> glob_max_terms,
> glob_iolevel,
> INFO,
> DEBUGL,
> ALWAYS,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> glob_max_rel_trunc_err,
> hours_in_day,
> min_in_hour,
> djd_debug2,
> glob_log10normmin,
> glob_log10abserr,
> glob_warned2,
> glob_optimal_clock_start_sec,
> glob_last_good_h,
> glob_large_float,
> glob_reached_optimal_h,
> glob_not_yet_start_msg,
> glob_initial_pass,
> glob_not_yet_finished,
> djd_debug,
> glob_subiter_method,
> glob_iter,
> glob_orig_start_sec,
> glob_optimal_start,
> glob_max_trunc_err,
> glob_log10_relerr,
> days_in_year,
> glob_warned,
> glob_no_eqs,
> glob_max_iter,
> glob_relerr,
> glob_log10_abserr,
> glob_hmin,
> glob_clock_start_sec,
> glob_clock_sec,
> glob_html_log,
> glob_max_minutes,
> glob_curr_iter_when_opt,
> glob_start,
> glob_max_sec,
> glob_dump,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_max_hours,
> glob_dump_analytic,
> glob_hmax,
> centuries_in_millinium,
> sec_in_min,
> glob_smallish_float,
> glob_abserr,
> glob_h,
> glob_almost_1,
> glob_display_flag,
> glob_optimal_expect_sec,
> glob_log10relerr,
> glob_optimal_done,
> years_in_century,
> glob_percent_done,
> glob_normmax,
> glob_unchanged_h_cnt,
> glob_small_float,
> glob_look_poles,
> glob_hmin_init,
> glob_disp_incr,
> glob_max_opt_iter,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> #END CONST
> array_pole,
> array_y_init,
> array_1st_rel_error,
> array_m1,
> array_type_pole,
> array_last_rel_error,
> array_norms,
> array_tmp1_a1,
> array_tmp1_a2,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_fact_1,
> array_poles,
> array_complex_pole,
> array_y_higher_work,
> array_real_pole,
> array_y_higher_work2,
> array_fact_2,
> array_y_set_initial,
> array_y_higher,
> glob_last;
>
> local kkk, order_d, adj2, temporary, term;
> #TOP ATOMALL
> #END OUTFILE1
> #BEGIN ATOMHDR1
> #emit pre tanh $eq_no = 1
> array_tmp1_a1[1] := sinh(array_x[1]);
> array_tmp1_a2[1] := cosh(array_x[1]);
> array_tmp1[1] := array_tmp1_a1[1] / array_tmp1_a2[1];
> #emit pre add $eq_no = 1 i = 1
> array_tmp2[1] := array_const_0D0[1] + array_tmp1[1];
> #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5
> if not array_y_set_initial[1,2] then # if number 1
> if (1 <= glob_max_terms) then # if number 2
> temporary := array_tmp2[1] * (glob_h ^ (1)) * factorial_3(0,1);
> array_y[2] := temporary;
> array_y_higher[1,2] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,1] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 2;
> #END ATOMHDR1
> #BEGIN ATOMHDR2
> #emit pre tanh $eq_no = 1
> array_tmp1_a1[2] := att(1,array_tmp1_a2,array_x,1);
> array_tmp1_a2[2] := att(1,array_tmp1_a1,array_x,1);
> array_tmp1[2] := ((array_tmp1_a1[2] - ats(2,array_tmp1_a2,array_tmp1,2)) / array_tmp1_a2[1]);
> #emit pre add $eq_no = 1 i = 2
> array_tmp2[2] := array_const_0D0[2] + array_tmp1[2];
> #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5
> if not array_y_set_initial[1,3] then # if number 1
> if (2 <= glob_max_terms) then # if number 2
> temporary := array_tmp2[2] * (glob_h ^ (1)) * factorial_3(1,2);
> array_y[3] := temporary;
> array_y_higher[1,3] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,2] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 3;
> #END ATOMHDR2
> #BEGIN ATOMHDR3
> #emit pre tanh $eq_no = 1
> array_tmp1_a1[3] := att(2,array_tmp1_a2,array_x,1);
> array_tmp1_a2[3] := att(2,array_tmp1_a1,array_x,1);
> array_tmp1[3] := ((array_tmp1_a1[3] - ats(3,array_tmp1_a2,array_tmp1,2)) / array_tmp1_a2[1]);
> #emit pre add $eq_no = 1 i = 3
> array_tmp2[3] := array_const_0D0[3] + array_tmp1[3];
> #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5
> if not array_y_set_initial[1,4] then # if number 1
> if (3 <= glob_max_terms) then # if number 2
> temporary := array_tmp2[3] * (glob_h ^ (1)) * factorial_3(2,3);
> array_y[4] := temporary;
> array_y_higher[1,4] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,3] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 4;
> #END ATOMHDR3
> #BEGIN ATOMHDR4
> #emit pre tanh $eq_no = 1
> array_tmp1_a1[4] := att(3,array_tmp1_a2,array_x,1);
> array_tmp1_a2[4] := att(3,array_tmp1_a1,array_x,1);
> array_tmp1[4] := ((array_tmp1_a1[4] - ats(4,array_tmp1_a2,array_tmp1,2)) / array_tmp1_a2[1]);
> #emit pre add $eq_no = 1 i = 4
> array_tmp2[4] := array_const_0D0[4] + array_tmp1[4];
> #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5
> if not array_y_set_initial[1,5] then # if number 1
> if (4 <= glob_max_terms) then # if number 2
> temporary := array_tmp2[4] * (glob_h ^ (1)) * factorial_3(3,4);
> array_y[5] := temporary;
> array_y_higher[1,5] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,4] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 5;
> #END ATOMHDR4
> #BEGIN ATOMHDR5
> #emit pre tanh $eq_no = 1
> array_tmp1_a1[5] := att(4,array_tmp1_a2,array_x,1);
> array_tmp1_a2[5] := att(4,array_tmp1_a1,array_x,1);
> array_tmp1[5] := ((array_tmp1_a1[5] - ats(5,array_tmp1_a2,array_tmp1,2)) / array_tmp1_a2[1]);
> #emit pre add $eq_no = 1 i = 5
> array_tmp2[5] := array_const_0D0[5] + array_tmp1[5];
> #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5
> if not array_y_set_initial[1,6] then # if number 1
> if (5 <= glob_max_terms) then # if number 2
> temporary := array_tmp2[5] * (glob_h ^ (1)) * factorial_3(4,5);
> array_y[6] := temporary;
> array_y_higher[1,6] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,5] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 6;
> #END ATOMHDR5
> #BEGIN OUTFILE3
> #Top Atomall While Loop-- outfile3
> while (kkk <= glob_max_terms) do # do number 1
> #END OUTFILE3
> #BEGIN OUTFILE4
> #emit tanh $eq_no = 1
> array_tmp1_a1[kkk] := att(kkk-1,array_tmp1_a2,array_x,1);
> array_tmp1_a2[kkk] := att(kkk-1,array_tmp1_a1,array_x,1);
> array_tmp1[kkk] := (array_tmp1_a1[kkk] - ats(kkk,array_tmp1_a2,array_tmp1,2)) / array_tmp1_a2[1];
> #emit add $eq_no = 1
> array_tmp2[kkk] := array_const_0D0[kkk] + array_tmp1[kkk];
> #emit assign $eq_no = 1
> order_d := 1;
> if (kkk + order_d + 1 <= glob_max_terms) then # if number 1
> if not array_y_set_initial[1,kkk + order_d] then # if number 2
> temporary := array_tmp2[kkk] * (glob_h ^ (order_d)) / factorial_3((kkk - 1),(kkk + order_d - 1));
> array_y[kkk + order_d] := temporary;
> array_y_higher[1,kkk + order_d] := temporary;
> term := kkk + order_d - 1;
> adj2 := 2;
> while (adj2 <= order_d + 1) and (term >= 1) do # do number 2
> temporary := temporary / glob_h * convfp(adj2);
> array_y_higher[adj2,term] := temporary;
> adj2 := adj2 + 1;
> term := term - 1;
> od;# end do number 2
> fi;# end if 2
> fi;# end if 1
> ;
> kkk := kkk + 1;
> od;# end do number 1
> ;
> #BOTTOM ATOMALL
> #END OUTFILE4
> #BEGIN OUTFILE5
> # End Function number 8
> end;
atomall := proc()
local kkk, order_d, adj2, temporary, term;
global glob_max_terms, glob_iolevel, INFO, DEBUGL, ALWAYS, DEBUGMASSIVE,
glob_max_rel_trunc_err, hours_in_day, min_in_hour, djd_debug2,
glob_log10normmin, glob_log10abserr, glob_warned2,
glob_optimal_clock_start_sec, glob_last_good_h, glob_large_float,
glob_reached_optimal_h, glob_not_yet_start_msg, glob_initial_pass,
glob_not_yet_finished, djd_debug, glob_subiter_method, glob_iter,
glob_orig_start_sec, glob_optimal_start, glob_max_trunc_err,
glob_log10_relerr, days_in_year, glob_warned, glob_no_eqs, glob_max_iter,
glob_relerr, glob_log10_abserr, glob_hmin, glob_clock_start_sec,
glob_clock_sec, glob_html_log, glob_max_minutes, glob_curr_iter_when_opt,
glob_start, glob_max_sec, glob_dump, MAX_UNCHANGED, glob_current_iter,
glob_max_hours, glob_dump_analytic, glob_hmax, centuries_in_millinium,
sec_in_min, glob_smallish_float, glob_abserr, glob_h, glob_almost_1,
glob_display_flag, glob_optimal_expect_sec, glob_log10relerr,
glob_optimal_done, years_in_century, glob_percent_done, glob_normmax,
glob_unchanged_h_cnt, glob_small_float, glob_look_poles, glob_hmin_init,
glob_disp_incr, glob_max_opt_iter, array_const_1, array_const_0D0,
array_pole, array_y_init, array_1st_rel_error, array_m1, array_type_pole,
array_last_rel_error, array_norms, array_tmp1_a1, array_tmp1_a2, array_y,
array_x, array_tmp0, array_tmp1, array_tmp2, array_fact_1, array_poles,
array_complex_pole, array_y_higher_work, array_real_pole,
array_y_higher_work2, array_fact_2, array_y_set_initial, array_y_higher,
glob_last;
array_tmp1_a1[1] := sinh(array_x[1]);
array_tmp1_a2[1] := cosh(array_x[1]);
array_tmp1[1] := array_tmp1_a1[1]/array_tmp1_a2[1];
array_tmp2[1] := array_const_0D0[1] + array_tmp1[1];
if not array_y_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp2[1]*glob_h*factorial_3(0, 1);
array_y[2] := temporary;
array_y_higher[1, 2] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 1] := temporary
end if
end if;
kkk := 2;
array_tmp1_a1[2] := att(1, array_tmp1_a2, array_x, 1);
array_tmp1_a2[2] := att(1, array_tmp1_a1, array_x, 1);
array_tmp1[2] := (
array_tmp1_a1[2] - ats(2, array_tmp1_a2, array_tmp1, 2))/
array_tmp1_a2[1];
array_tmp2[2] := array_const_0D0[2] + array_tmp1[2];
if not array_y_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp2[2]*glob_h*factorial_3(1, 2);
array_y[3] := temporary;
array_y_higher[1, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 2] := temporary
end if
end if;
kkk := 3;
array_tmp1_a1[3] := att(2, array_tmp1_a2, array_x, 1);
array_tmp1_a2[3] := att(2, array_tmp1_a1, array_x, 1);
array_tmp1[3] := (
array_tmp1_a1[3] - ats(3, array_tmp1_a2, array_tmp1, 2))/
array_tmp1_a2[1];
array_tmp2[3] := array_const_0D0[3] + array_tmp1[3];
if not array_y_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp2[3]*glob_h*factorial_3(2, 3);
array_y[4] := temporary;
array_y_higher[1, 4] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 3] := temporary
end if
end if;
kkk := 4;
array_tmp1_a1[4] := att(3, array_tmp1_a2, array_x, 1);
array_tmp1_a2[4] := att(3, array_tmp1_a1, array_x, 1);
array_tmp1[4] := (
array_tmp1_a1[4] - ats(4, array_tmp1_a2, array_tmp1, 2))/
array_tmp1_a2[1];
array_tmp2[4] := array_const_0D0[4] + array_tmp1[4];
if not array_y_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp2[4]*glob_h*factorial_3(3, 4);
array_y[5] := temporary;
array_y_higher[1, 5] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 4] := temporary
end if
end if;
kkk := 5;
array_tmp1_a1[5] := att(4, array_tmp1_a2, array_x, 1);
array_tmp1_a2[5] := att(4, array_tmp1_a1, array_x, 1);
array_tmp1[5] := (
array_tmp1_a1[5] - ats(5, array_tmp1_a2, array_tmp1, 2))/
array_tmp1_a2[1];
array_tmp2[5] := array_const_0D0[5] + array_tmp1[5];
if not array_y_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp2[5]*glob_h*factorial_3(4, 5);
array_y[6] := temporary;
array_y_higher[1, 6] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 5] := temporary
end if
end if;
kkk := 6;
while kkk <= glob_max_terms do
array_tmp1_a1[kkk] := att(kkk - 1, array_tmp1_a2, array_x, 1);
array_tmp1_a2[kkk] := att(kkk - 1, array_tmp1_a1, array_x, 1);
array_tmp1[kkk] := (
array_tmp1_a1[kkk] - ats(kkk, array_tmp1_a2, array_tmp1, 2))/
array_tmp1_a2[1];
array_tmp2[kkk] := array_const_0D0[kkk] + array_tmp1[kkk];
order_d := 1;
if kkk + order_d + 1 <= glob_max_terms then
if not array_y_set_initial[1, kkk + order_d] then
temporary := array_tmp2[kkk]*glob_h^order_d/
factorial_3(kkk - 1, kkk + order_d - 1);
array_y[kkk + order_d] := temporary;
array_y_higher[1, kkk + order_d] := temporary;
term := kkk + order_d - 1;
adj2 := 2;
while adj2 <= order_d + 1 and 1 <= term do
temporary := temporary*convfp(adj2)/glob_h;
array_y_higher[adj2, term] := temporary;
adj2 := adj2 + 1;
term := term - 1
end do
end if
end if;
kkk := kkk + 1
end do
end proc
> #BEGIN ATS LIBRARY BLOCK
> omniout_str := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> printf("%s\n",str);
> fi;
> # End Function number 1
> end;
omniout_str := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s\n", str) end if
end proc
> omniout_str_noeol := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> printf("%s",str);
> fi;
> # End Function number 1
> end;
omniout_str_noeol := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s", str) end if
end proc
> omniout_labstr := proc(iolevel,label,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> print(label,str);
> fi;
> # End Function number 1
> end;
omniout_labstr := proc(iolevel, label, str)
global glob_iolevel;
if iolevel <= glob_iolevel then print(label, str) end if
end proc
> omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> if vallen = 4 then
> printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel);
> else
> printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel);
> fi;
> fi;
> # End Function number 1
> end;
omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 4 then
printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel)
else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel)
end if
end if
end proc
> omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> if vallen = 5 then
> printf("%-30s = %-32d %s\n",prelabel,value, postlabel);
> else
> printf("%-30s = %-32d %s \n",prelabel,value, postlabel);
> fi;
> fi;
> # End Function number 1
> end;
omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 5 then
printf("%-30s = %-32d %s\n", prelabel, value, postlabel)
else printf("%-30s = %-32d %s \n", prelabel, value, postlabel)
end if
end if
end proc
> omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> print(prelabel,"[",elemnt,"]",value, postlabel);
> fi;
> # End Function number 1
> end;
omniout_float_arr := proc(
iolevel, prelabel, elemnt, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
print(prelabel, "[", elemnt, "]", value, postlabel)
end if
end proc
> dump_series := proc(iolevel,dump_label,series_name,
> array_series,numb)
> global glob_iolevel;
> local i;
> if (glob_iolevel >= iolevel) then
> i := 1;
> while (i <= numb) do
> print(dump_label,series_name
> ,i,array_series[i]);
> i := i + 1;
> od;
> fi;
> # End Function number 1
> end;
dump_series := proc(iolevel, dump_label, series_name, array_series, numb)
local i;
global glob_iolevel;
if iolevel <= glob_iolevel then
i := 1;
while i <= numb do
print(dump_label, series_name, i, array_series[i]); i := i + 1
end do
end if
end proc
> dump_series_2 := proc(iolevel,dump_label,series_name2,
> array_series2,numb,subnum,array_x)
> global glob_iolevel;
> local i,sub,ts_term;
> if (glob_iolevel >= iolevel) then
> sub := 1;
> while (sub <= subnum) do
> i := 1;
> while (i <= numb) do
> print(dump_label,series_name2,sub,i,array_series2[sub,i]);
> od;
> sub := sub + 1;
> od;
> fi;
> # End Function number 1
> end;
dump_series_2 := proc(
iolevel, dump_label, series_name2, array_series2, numb, subnum, array_x)
local i, sub, ts_term;
global glob_iolevel;
if iolevel <= glob_iolevel then
sub := 1;
while sub <= subnum do
i := 1;
while i <= numb do print(dump_label, series_name2, sub, i,
array_series2[sub, i])
end do;
sub := sub + 1
end do
end if
end proc
> cs_info := proc(iolevel,str)
> global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h;
> if (glob_iolevel >= iolevel) then
> print("cs_info " , str , " glob_correct_start_flag = " , glob_correct_start_flag , "glob_h := " , glob_h , "glob_reached_optimal_h := " , glob_reached_optimal_h)
> fi;
> # End Function number 1
> end;
cs_info := proc(iolevel, str)
global
glob_iolevel, glob_correct_start_flag, glob_h, glob_reached_optimal_h;
if iolevel <= glob_iolevel then print("cs_info ", str,
" glob_correct_start_flag = ", glob_correct_start_flag,
"glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h)
end if
end proc
> # Begin Function number 2
> logitem_time := proc(fd,secs_in)
> global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century;
> local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int;
> secs := (secs_in);
> if (secs > 0.0) then # if number 1
> sec_in_millinium := convfloat(sec_in_min * min_in_hour * hours_in_day * days_in_year * years_in_century * centuries_in_millinium);
> milliniums := convfloat(secs / sec_in_millinium);
> millinium_int := floor(milliniums);
> centuries := (milliniums - millinium_int)*centuries_in_millinium;
> cent_int := floor(centuries);
> years := (centuries - cent_int) * years_in_century;
> years_int := floor(years);
> days := (years - years_int) * days_in_year;
> days_int := floor(days);
> hours := (days - days_int) * hours_in_day;
> hours_int := floor(hours);
> minutes := (hours - hours_int) * min_in_hour;
> minutes_int := floor(minutes);
> seconds := (minutes - minutes_int) * sec_in_min;
> sec_int := floor(seconds);
> fprintf(fd,"
");
> if (millinium_int > 0) then # if number 2
> fprintf(fd,"%d Millinia %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",millinium_int,cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (cent_int > 0) then # if number 3
> fprintf(fd,"%d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (years_int > 0) then # if number 4
> fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int);
> elif (days_int > 0) then # if number 5
> fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int);
> elif (hours_int > 0) then # if number 6
> fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int);
> elif (minutes_int > 0) then # if number 7
> fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int);
> else
> fprintf(fd,"%d Seconds",sec_int);
> fi;# end if 7
> else
> fprintf(fd,"Unknown");
> fi;# end if 6
> fprintf(fd," | ");
> # End Function number 2
> end;
logitem_time := proc(fd, secs_in)
local cent_int, centuries, days, days_int, hours, hours_int, millinium_int,
milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs,
years, years_int;
global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour,
sec_in_min, years_in_century;
secs := secs_in;
if 0. < secs then
sec_in_millinium := convfloat(sec_in_min*min_in_hour*hours_in_day*
days_in_year*years_in_century*centuries_in_millinium);
milliniums := convfloat(secs/sec_in_millinium);
millinium_int := floor(milliniums);
centuries := (milliniums - millinium_int)*centuries_in_millinium;
cent_int := floor(centuries);
years := (centuries - cent_int)*years_in_century;
years_int := floor(years);
days := (years - years_int)*days_in_year;
days_int := floor(days);
hours := (days - days_int)*hours_in_day;
hours_int := floor(hours);
minutes := (hours - hours_int)*min_in_hour;
minutes_int := floor(minutes);
seconds := (minutes - minutes_int)*sec_in_min;
sec_int := floor(seconds);
fprintf(fd, "");
if 0 < millinium_int then fprintf(fd, "%d Millinia %d Centuries %\
d Years %d Days %d Hours %d Minutes %d Seconds", millinium_int,
cent_int, years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < cent_int then fprintf(fd,
"%d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",
cent_int, years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < years_int then fprintf(fd,
"%d Years %d Days %d Hours %d Minutes %d Seconds", years_int,
days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then fprintf(fd,
"%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int,
minutes_int, sec_int)
elif 0 < hours_int then fprintf(fd,
"%d Hours %d Minutes %d Seconds", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int)
else fprintf(fd, "%d Seconds", sec_int)
end if
else fprintf(fd, "Unknown")
end if;
fprintf(fd, " | ")
end proc
> omniout_timestr := proc (secs_in)
> global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century;
> local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int;
> secs := convfloat(secs_in);
> if (secs > 0.0) then # if number 6
> sec_in_millinium := convfloat(sec_in_min * min_in_hour * hours_in_day * days_in_year * years_in_century * centuries_in_millinium);
> milliniums := convfloat(secs / sec_in_millinium);
> millinium_int := floor(milliniums);
> centuries := (milliniums - millinium_int)*centuries_in_millinium;
> cent_int := floor(centuries);
> years := (centuries - cent_int) * years_in_century;
> years_int := floor(years);
> days := (years - years_int) * days_in_year;
> days_int := floor(days);
> hours := (days - days_int) * hours_in_day;
> hours_int := floor(hours);
> minutes := (hours - hours_int) * min_in_hour;
> minutes_int := floor(minutes);
> seconds := (minutes - minutes_int) * sec_in_min;
> sec_int := floor(seconds);
>
> if (millinium_int > 0) then # if number 7
> printf(" = %d Millinia %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds\n",millinium_int,cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (cent_int > 0) then # if number 8
> printf(" = %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds\n",cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (years_int > 0) then # if number 9
> printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int);
> elif (days_int > 0) then # if number 10
> printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int);
> elif (hours_int > 0) then # if number 11
> printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int);
> elif (minutes_int > 0) then # if number 12
> printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int);
> else
> printf(" = %d Seconds\n",sec_int);
> fi;# end if 12
> else
> printf(" Unknown\n");
> fi;# end if 11
> # End Function number 2
> end;
omniout_timestr := proc(secs_in)
local cent_int, centuries, days, days_int, hours, hours_int, millinium_int,
milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs,
years, years_int;
global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour,
sec_in_min, years_in_century;
secs := convfloat(secs_in);
if 0. < secs then
sec_in_millinium := convfloat(sec_in_min*min_in_hour*hours_in_day*
days_in_year*years_in_century*centuries_in_millinium);
milliniums := convfloat(secs/sec_in_millinium);
millinium_int := floor(milliniums);
centuries := (milliniums - millinium_int)*centuries_in_millinium;
cent_int := floor(centuries);
years := (centuries - cent_int)*years_in_century;
years_int := floor(years);
days := (years - years_int)*days_in_year;
days_int := floor(days);
hours := (days - days_int)*hours_in_day;
hours_int := floor(hours);
minutes := (hours - hours_int)*min_in_hour;
minutes_int := floor(minutes);
seconds := (minutes - minutes_int)*sec_in_min;
sec_int := floor(seconds);
if 0 < millinium_int then printf(" = %d Millinia %d Centuries %d\
Years %d Days %d Hours %d Minutes %d Seconds\n", millinium_int,
cent_int, years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < cent_int then printf(" = %d Centuries %d Years %d Days \
%d Hours %d Minutes %d Seconds\n", cent_int, years_int,
days_int, hours_int, minutes_int, sec_int)
elif 0 < years_int then printf(
" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",
years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then printf(
" = %d Days %d Hours %d Minutes %d Seconds\n", days_int,
hours_int, minutes_int, sec_int)
elif 0 < hours_int then printf(
" = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int)
else printf(" = %d Seconds\n", sec_int)
end if
else printf(" Unknown\n")
end if
end proc
>
> # Begin Function number 3
> ats := proc(
> mmm_ats,array_a,array_b,jjj_ats)
> local iii_ats, lll_ats,ma_ats, ret_ats;
> ret_ats := 0.0;
> if (jjj_ats <= mmm_ats) then # if number 11
> ma_ats := mmm_ats + 1;
> iii_ats := jjj_ats;
> while (iii_ats <= mmm_ats) do # do number 1
> lll_ats := ma_ats - iii_ats;
> ret_ats := ret_ats + array_a[iii_ats]*array_b[lll_ats];
> iii_ats := iii_ats + 1;
> od;# end do number 1
> fi;# end if 11
> ;
> ret_ats
> # End Function number 3
> end;
ats := proc(mmm_ats, array_a, array_b, jjj_ats)
local iii_ats, lll_ats, ma_ats, ret_ats;
ret_ats := 0.;
if jjj_ats <= mmm_ats then
ma_ats := mmm_ats + 1;
iii_ats := jjj_ats;
while iii_ats <= mmm_ats do
lll_ats := ma_ats - iii_ats;
ret_ats := ret_ats + array_a[iii_ats]*array_b[lll_ats];
iii_ats := iii_ats + 1
end do
end if;
ret_ats
end proc
>
> # Begin Function number 4
> att := proc(
> mmm_att,array_aa,array_bb,jjj_att)
> global glob_max_terms;
> local al_att, iii_att,lll_att, ma_att, ret_att;
> ret_att := 0.0;
> if (jjj_att <= mmm_att) then # if number 11
> ma_att := mmm_att + 2;
> iii_att := jjj_att;
> while (iii_att <= mmm_att) do # do number 1
> lll_att := ma_att - iii_att;
> al_att := (lll_att - 1);
> if (lll_att <= glob_max_terms) then # if number 12
> ret_att := ret_att + array_aa[iii_att]*array_bb[lll_att]* convfp(al_att);
> fi;# end if 12
> ;
> iii_att := iii_att + 1;
> od;# end do number 1
> ;
> ret_att := ret_att / convfp(mmm_att) ;
> fi;# end if 11
> ;
> ret_att;
> # End Function number 4
> end;
att := proc(mmm_att, array_aa, array_bb, jjj_att)
local al_att, iii_att, lll_att, ma_att, ret_att;
global glob_max_terms;
ret_att := 0.;
if jjj_att <= mmm_att then
ma_att := mmm_att + 2;
iii_att := jjj_att;
while iii_att <= mmm_att do
lll_att := ma_att - iii_att;
al_att := lll_att - 1;
if lll_att <= glob_max_terms then ret_att := ret_att
+ array_aa[iii_att]*array_bb[lll_att]*convfp(al_att)
end if;
iii_att := iii_att + 1
end do;
ret_att := ret_att/convfp(mmm_att)
end if;
ret_att
end proc
> # Begin Function number 5
> display_pole := proc()
> global ALWAYS,glob_display_flag, glob_large_float, array_pole;
> if ((array_pole[1] <> glob_large_float) and (array_pole[1] > 0.0) and (array_pole[2] <> glob_large_float) and (array_pole[2]> 0.0) and glob_display_flag) then # if number 11
> omniout_float(ALWAYS,"Radius of convergence ",4, array_pole[1],4," ");
> omniout_float(ALWAYS,"Order of pole ",4, array_pole[2],4," ");
> fi;# end if 11
> # End Function number 5
> end;
display_pole := proc()
global ALWAYS, glob_display_flag, glob_large_float, array_pole;
if array_pole[1] <> glob_large_float and 0. < array_pole[1] and
array_pole[2] <> glob_large_float and 0. < array_pole[2] and
glob_display_flag then
omniout_float(ALWAYS, "Radius of convergence ", 4,
array_pole[1], 4, " ");
omniout_float(ALWAYS, "Order of pole ", 4,
array_pole[2], 4, " ")
end if
end proc
> # Begin Function number 6
> logditto := proc(file)
> fprintf(file,"");
> fprintf(file,"ditto");
> fprintf(file," | ");
> # End Function number 6
> end;
logditto := proc(file)
fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, " | ")
end proc
> # Begin Function number 7
> logitem_integer := proc(file,n)
> fprintf(file,"");
> fprintf(file,"%d",n);
> fprintf(file," | ");
> # End Function number 7
> end;
logitem_integer := proc(file, n)
fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, " | ")
end proc
> # Begin Function number 8
> logitem_str := proc(file,str)
> fprintf(file,"");
> fprintf(file,str);
> fprintf(file," | ");
> # End Function number 8
> end;
logitem_str := proc(file, str)
fprintf(file, ""); fprintf(file, str); fprintf(file, " | ")
end proc
> # Begin Function number 9
> log_revs := proc(file,revs)
> fprintf(file,revs);
> # End Function number 9
> end;
log_revs := proc(file, revs) fprintf(file, revs) end proc
> # Begin Function number 10
> logitem_float := proc(file,x)
> fprintf(file,"");
> fprintf(file,"%g",x);
> fprintf(file," | ");
> # End Function number 10
> end;
logitem_float := proc(file, x)
fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, " | ")
end proc
> # Begin Function number 11
> logitem_pole := proc(file,pole)
> fprintf(file,"");
> if pole = 0 then # if number 11
> fprintf(file,"NA");
> elif pole = 1 then # if number 12
> fprintf(file,"Real");
> elif pole = 2 then # if number 13
> fprintf(file,"Complex");
> else
> fprintf(file,"No Pole");
> fi;# end if 13
> fprintf(file," | ");
> # End Function number 11
> end;
logitem_pole := proc(file, pole)
fprintf(file, "");
if pole = 0 then fprintf(file, "NA")
elif pole = 1 then fprintf(file, "Real")
elif pole = 2 then fprintf(file, "Complex")
else fprintf(file, "No Pole")
end if;
fprintf(file, " | ")
end proc
> # Begin Function number 12
> logstart := proc(file)
> fprintf(file,"");
> # End Function number 12
> end;
logstart := proc(file) fprintf(file, "
") end proc
> # Begin Function number 13
> logend := proc(file)
> fprintf(file,"
\n");
> # End Function number 13
> end;
logend := proc(file) fprintf(file, "\n") end proc
> # Begin Function number 14
> chk_data := proc()
> global glob_max_iter,ALWAYS, glob_max_terms;
> local errflag;
> errflag := false;
>
> if ((glob_max_terms < 15) or (glob_max_terms > 512)) then # if number 13
> omniout_str(ALWAYS,"Illegal max_terms = -- Using 30");
> glob_max_terms := 30;
> fi;# end if 13
> ;
> if (glob_max_iter < 2) then # if number 13
> omniout_str(ALWAYS,"Illegal max_iter");
> errflag := true;
> fi;# end if 13
> ;
> if (errflag) then # if number 13
>
> quit;
> fi;# end if 13
> # End Function number 14
> end;
chk_data := proc()
local errflag;
global glob_max_iter, ALWAYS, glob_max_terms;
errflag := false;
if glob_max_terms < 15 or 512 < glob_max_terms then
omniout_str(ALWAYS, "Illegal max_terms = -- Using 30");
glob_max_terms := 30
end if;
if glob_max_iter < 2 then
omniout_str(ALWAYS, "Illegal max_iter"); errflag := true
end if;
if errflag then quit end if
end proc
>
> # Begin Function number 15
> comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec)
> global glob_small_float;
> local ms2, rrr, sec_left, sub1, sub2;
> ;
> ms2 := clock_sec;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub1 = 0.0) then # if number 13
> sec_left := 0.0;
> else
> if (abs(sub2) > 0.0) then # if number 14
> rrr := (sub1/sub2);
> sec_left := rrr * ms2 - ms2;
> else
> sec_left := 0.0;
> fi;# end if 14
> fi;# end if 13
> ;
> sec_left;
> # End Function number 15
> end;
comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec)
local ms2, rrr, sec_left, sub1, sub2;
global glob_small_float;
ms2 := clock_sec;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if sub1 = 0. then sec_left := 0.
else
if 0. < abs(sub2) then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2
else sec_left := 0.
end if
end if;
sec_left
end proc
>
> # Begin Function number 16
> comp_percent := proc(t_end2,t_start2,t2)
> global glob_small_float;
> local rrr, sub1, sub2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (abs(sub2) > glob_small_float) then # if number 13
> rrr := (100.0*sub2)/sub1;
> else
> rrr := 0.0;
> fi;# end if 13
> ;
> rrr
> # End Function number 16
> end;
comp_percent := proc(t_end2, t_start2, t2)
local rrr, sub1, sub2;
global glob_small_float;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if glob_small_float < abs(sub2) then rrr := 100.0*sub2/sub1
else rrr := 0.
end if;
rrr
end proc
> # Begin Function number 17
> factorial_1 := proc(nnn)
> if (nnn <= glob_max_terms) then # if number 13
> ret := array_fact_1[nnn];
> else
> ret := nnn!;
> fi;# end if 13
> ;
> ret;
> # End Function number 17
> end;
Warning, `ret` is implicitly declared local to procedure `factorial_1`
factorial_1 := proc(nnn)
local ret;
if nnn <= glob_max_terms then ret := array_fact_1[nnn]
else ret := nnn!
end if;
ret
end proc
> # Begin Function number 18
> factorial_3 := proc(mmm,nnn)
> if (nnn <= glob_max_terms) and (mmm <= glob_max_terms) then # if number 13
> ret := array_fact_2[mmm,nnn];
> else
> ret := (mmm!)/(nnn!);
> fi;# end if 13
> ;
> ret;
> # End Function number 18
> end;
Warning, `ret` is implicitly declared local to procedure `factorial_3`
factorial_3 := proc(mmm, nnn)
local ret;
if nnn <= glob_max_terms and mmm <= glob_max_terms then
ret := array_fact_2[mmm, nnn]
else ret := mmm!/nnn!
end if;
ret
end proc
> # Begin Function number 19
> convfp := proc(mmm)
> (mmm);
>
> # End Function number 19
> end;
convfp := proc(mmm) mmm end proc
> # Begin Function number 20
> convfloat := proc(mmm)
> (mmm);
>
> # End Function number 20
> end;
convfloat := proc(mmm) mmm end proc
> elapsed_time_seconds := proc()
> time();
> end;
elapsed_time_seconds := proc() time() end proc
>
>
>
> #END ATS LIBRARY BLOCK
> #BEGIN USER DEF BLOCK
> #BEGIN USER DEF BLOCK
> exact_soln_y := proc(x)
> 2.0 + log(cosh((x)))
> end;
exact_soln_y := proc(x) 2.0 + log(cosh(x)) end proc
>
> #END USER DEF BLOCK
> #END USER DEF BLOCK
> #END OUTFILE5
> # Begin Function number 2
> mainprog := proc()
> #BEGIN OUTFIEMAIN
> local d1,d2,d3,d4,est_err_2,niii,done_once,
> term,ord,order_diff,term_no,html_log_file,
> rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter,
> x_start,x_end
> ,it, log10norm, max_terms, opt_iter, tmp;
> #Top Generate Globals Definition
> #Bottom Generate Globals Deninition
> global
> glob_max_terms,
> glob_iolevel,
> INFO,
> DEBUGL,
> ALWAYS,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> glob_max_rel_trunc_err,
> hours_in_day,
> min_in_hour,
> djd_debug2,
> glob_log10normmin,
> glob_log10abserr,
> glob_warned2,
> glob_optimal_clock_start_sec,
> glob_last_good_h,
> glob_large_float,
> glob_reached_optimal_h,
> glob_not_yet_start_msg,
> glob_initial_pass,
> glob_not_yet_finished,
> djd_debug,
> glob_subiter_method,
> glob_iter,
> glob_orig_start_sec,
> glob_optimal_start,
> glob_max_trunc_err,
> glob_log10_relerr,
> days_in_year,
> glob_warned,
> glob_no_eqs,
> glob_max_iter,
> glob_relerr,
> glob_log10_abserr,
> glob_hmin,
> glob_clock_start_sec,
> glob_clock_sec,
> glob_html_log,
> glob_max_minutes,
> glob_curr_iter_when_opt,
> glob_start,
> glob_max_sec,
> glob_dump,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_max_hours,
> glob_dump_analytic,
> glob_hmax,
> centuries_in_millinium,
> sec_in_min,
> glob_smallish_float,
> glob_abserr,
> glob_h,
> glob_almost_1,
> glob_display_flag,
> glob_optimal_expect_sec,
> glob_log10relerr,
> glob_optimal_done,
> years_in_century,
> glob_percent_done,
> glob_normmax,
> glob_unchanged_h_cnt,
> glob_small_float,
> glob_look_poles,
> glob_hmin_init,
> glob_disp_incr,
> glob_max_opt_iter,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> #END CONST
> array_pole,
> array_y_init,
> array_1st_rel_error,
> array_m1,
> array_type_pole,
> array_last_rel_error,
> array_norms,
> array_tmp1_a1,
> array_tmp1_a2,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_fact_1,
> array_poles,
> array_complex_pole,
> array_y_higher_work,
> array_real_pole,
> array_y_higher_work2,
> array_fact_2,
> array_y_set_initial,
> array_y_higher,
> glob_last;
> glob_last;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> glob_iolevel := INFO;
> glob_max_terms := 30;
> glob_iolevel := 5;
> INFO := 2;
> DEBUGL := 3;
> ALWAYS := 1;
> DEBUGMASSIVE := 4;
> glob_max_rel_trunc_err := 0.1e-10;
> hours_in_day := 24.0;
> min_in_hour := 60.0;
> djd_debug2 := true;
> glob_log10normmin := 0.1;
> glob_log10abserr := 0.0;
> glob_warned2 := false;
> glob_optimal_clock_start_sec := 0.0;
> glob_last_good_h := 0.1;
> glob_large_float := 9.0e100;
> glob_reached_optimal_h := false;
> glob_not_yet_start_msg := true;
> glob_initial_pass := true;
> glob_not_yet_finished := true;
> djd_debug := true;
> glob_subiter_method := 3;
> glob_iter := 0;
> glob_orig_start_sec := 0.0;
> glob_optimal_start := 0.0;
> glob_max_trunc_err := 0.1e-10;
> glob_log10_relerr := 0.1e-10;
> days_in_year := 365.0;
> glob_warned := false;
> glob_no_eqs := 0;
> glob_max_iter := 1000;
> glob_relerr := 0.1e-10;
> glob_log10_abserr := 0.1e-10;
> glob_hmin := 0.00000000001;
> glob_clock_start_sec := 0.0;
> glob_clock_sec := 0.0;
> glob_html_log := true;
> glob_max_minutes := 0.0;
> glob_curr_iter_when_opt := 0;
> glob_start := 0;
> glob_max_sec := 10000.0;
> glob_dump := false;
> MAX_UNCHANGED := 10;
> glob_current_iter := 0;
> glob_max_hours := 0.0;
> glob_dump_analytic := false;
> glob_hmax := 1.0;
> centuries_in_millinium := 10.0;
> sec_in_min := 60.0;
> glob_smallish_float := 0.1e-100;
> glob_abserr := 0.1e-10;
> glob_h := 0.1;
> glob_almost_1 := 0.9990;
> glob_display_flag := true;
> glob_optimal_expect_sec := 0.1;
> glob_log10relerr := 0.0;
> glob_optimal_done := false;
> years_in_century := 100.0;
> glob_percent_done := 0.0;
> glob_normmax := 0.0;
> glob_unchanged_h_cnt := 0;
> glob_small_float := 0.1e-50;
> glob_look_poles := false;
> glob_hmin_init := 0.001;
> glob_disp_incr := 0.1;
> glob_max_opt_iter := 10;
> #Write Set Defaults
> glob_orig_start_sec := elapsed_time_seconds();
> MAX_UNCHANGED := 10;
> glob_curr_iter_when_opt := 0;
> glob_display_flag := true;
> glob_no_eqs := 1;
> glob_iter := -1;
> opt_iter := -1;
> glob_max_iter := 50000;
> glob_max_hours := 0.0;
> glob_max_minutes := 15.0;
> omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################");
> omniout_str(ALWAYS,"##############temp/tanhpostode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = tanh ( x ) ;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"Digits := 32;");
> omniout_str(ALWAYS,"max_terms := 30;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#END FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"x_start := 0.1;");
> omniout_str(ALWAYS,"x_end := 10.0 ;");
> omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);");
> omniout_str(ALWAYS,"glob_h := 0.00001 ;");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 10;");
> omniout_str(ALWAYS,"#END SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK");
> omniout_str(ALWAYS,"glob_h := 0.001 ;");
> 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,"2.0 + log(cosh((x)))");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"");
> omniout_str(ALWAYS,"#END USER DEF BLOCK");
> omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################");
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_small_float := 1.0e-200;
> glob_smallish_float := 1.0e-64;
> glob_large_float := 1.0e100;
> glob_almost_1 := 0.99;
> glob_log10_abserr := -8.0;
> glob_log10_relerr := -8.0;
> glob_hmax := 0.01;
> #BEGIN FIRST INPUT BLOCK
> #BEGIN FIRST INPUT BLOCK
> Digits := 32;
> max_terms := 30;
> #END FIRST INPUT BLOCK
> #START OF INITS AFTER INPUT BLOCK
> glob_max_terms := max_terms;
> glob_html_log := true;
> #END OF INITS AFTER INPUT BLOCK
> array_pole:= Array(0..(max_terms + 1),[]);
> array_y_init:= Array(0..(max_terms + 1),[]);
> array_1st_rel_error:= Array(0..(max_terms + 1),[]);
> array_m1:= Array(0..(max_terms + 1),[]);
> array_type_pole:= Array(0..(max_terms + 1),[]);
> array_last_rel_error:= Array(0..(max_terms + 1),[]);
> array_norms:= Array(0..(max_terms + 1),[]);
> array_tmp1_a1:= Array(0..(max_terms + 1),[]);
> array_tmp1_a2:= Array(0..(max_terms + 1),[]);
> array_y:= Array(0..(max_terms + 1),[]);
> array_x:= Array(0..(max_terms + 1),[]);
> array_tmp0:= Array(0..(max_terms + 1),[]);
> array_tmp1:= Array(0..(max_terms + 1),[]);
> array_tmp2:= Array(0..(max_terms + 1),[]);
> array_fact_1:= Array(0..(max_terms + 1),[]);
> array_poles := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_complex_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_y_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_real_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_y_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]);
> array_y_set_initial := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> 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_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_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_type_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_last_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_norms[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp1_a1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp1_a2[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_fact_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=1 do # do number 2
> term := 1;
> while term <= 3 do # do number 3
> array_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=1 do # do number 2
> term := 1;
> while term <= 3 do # do number 3
> array_complex_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=2 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_y_higher_work[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=1 do # do number 2
> term := 1;
> while term <= 3 do # do number 3
> array_real_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=2 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_y_higher_work2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=max_terms do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_fact_2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=2 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_y_set_initial[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=2 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_y_higher[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> #BEGIN ARRAYS DEFINED AND INITIALIZATED
> array_tmp1_a2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp1_a2[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp1_a1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp1_a1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_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_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
> #Initing Factorial Tables
> iiif := 0;
> while iiif <= glob_max_terms do # do number 2
> jjjf := 0;
> while jjjf <= glob_max_terms do # do number 3
> temp1 := iiif !;
> temp2 := jjjf !;
> array_fact_1[iiif] := temp1;
> array_fact_2[iiif,jjjf] := temp1/temp2;
> jjjf := jjjf + 1;
> od;# end do number 3
> ;
> iiif := iiif + 1;
> od;# end do number 2
> ;
> #Done Initing Factorial Tables
> #TOP SECOND INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> #END FIRST INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> x_start := 0.1;
> x_end := 10.0 ;
> array_y_init[0 + 1] := exact_soln_y(x_start);
> glob_h := 0.00001 ;
> glob_look_poles := true;
> glob_max_iter := 10;
> #END SECOND INPUT BLOCK
> #BEGIN OVERRIDE BLOCK
> glob_h := 0.001 ;
> glob_look_poles := true;
> glob_max_iter := 1000;
> glob_max_minutes := 15;
> #END OVERRIDE BLOCK
> #END SECOND INPUT BLOCK
> #BEGIN INITS AFTER SECOND INPUT BLOCK
> glob_last_good_h := glob_h;
> glob_max_terms := max_terms;
> glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours);
> glob_abserr := 10.0 ^ (glob_log10_abserr);
> glob_relerr := 10.0 ^ (glob_log10_relerr);
> chk_data();
> #AFTER INITS AFTER SECOND INPUT BLOCK
> array_y_set_initial[1,1] := true;
> array_y_set_initial[1,2] := false;
> array_y_set_initial[1,3] := false;
> array_y_set_initial[1,4] := false;
> array_y_set_initial[1,5] := false;
> array_y_set_initial[1,6] := false;
> array_y_set_initial[1,7] := false;
> array_y_set_initial[1,8] := false;
> array_y_set_initial[1,9] := false;
> array_y_set_initial[1,10] := false;
> array_y_set_initial[1,11] := false;
> array_y_set_initial[1,12] := false;
> array_y_set_initial[1,13] := false;
> array_y_set_initial[1,14] := false;
> array_y_set_initial[1,15] := false;
> array_y_set_initial[1,16] := false;
> array_y_set_initial[1,17] := false;
> array_y_set_initial[1,18] := false;
> array_y_set_initial[1,19] := false;
> array_y_set_initial[1,20] := false;
> array_y_set_initial[1,21] := false;
> array_y_set_initial[1,22] := false;
> array_y_set_initial[1,23] := false;
> array_y_set_initial[1,24] := false;
> array_y_set_initial[1,25] := false;
> array_y_set_initial[1,26] := false;
> array_y_set_initial[1,27] := false;
> array_y_set_initial[1,28] := false;
> array_y_set_initial[1,29] := false;
> array_y_set_initial[1,30] := false;
> if glob_html_log then # if number 2
> html_log_file := fopen("html/entry.html",WRITE,TEXT);
> fi;# end if 2
> ;
> #BEGIN SOLUTION CODE
> omniout_str(ALWAYS,"START of Soultion");
> #Start Series -- INITIALIZE FOR SOLUTION
> array_x[1] := x_start;
> array_x[2] := glob_h;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 2
> array_y[term_no] := array_y_init[term_no] * glob_h ^ (term_no - 1) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 2
> ;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 2
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 3
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* (glob_h ^ (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 3
> ;
> r_order := r_order + 1;
> od;# end do number 2
> ;
> current_iter := 1;
> glob_clock_start_sec := elapsed_time_seconds();
> start_array_y();
> if (abs(array_y_higher[1,1]) > glob_small_float) then # if number 2
> tmp := abs(array_y_higher[1,1]);
> log10norm := (log10(tmp));
> if (log10norm < glob_log10normmin) then # if number 3
> glob_log10normmin := log10norm;
> fi;# end if 3
> fi;# end if 2
> ;
> display_alot(current_iter)
> ;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := 0;
> glob_iter := 0;
> omniout_str(DEBUGL," ");
> glob_reached_optimal_h := true;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> while ((glob_current_iter < glob_max_iter) and (array_x[1] <= x_end ) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2
> #left paren 0001C
> omniout_str(INFO," ");
> omniout_str(INFO,"TOP MAIN SOLVE Loop");
> glob_iter := glob_iter + 1;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := glob_current_iter + 1;
> atomall();
> if (glob_look_poles) then # if number 2
> #left paren 0004C
> check_for_pole();
> fi;# end if 2
> ;#was right paren 0004C
> array_x[1] := array_x[1] + glob_h;
> array_x[2] := glob_h;
> #Jump Series array_y
> order_diff := 1;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =1
> #sum_and_adjust array_y
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[2,iii] := array_y_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 2;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 2;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 2;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #END SUM AND ADJUST EQ =1
> #END PART 1
> #START PART 2 MOVE TERMS to REGULAR Array
> term_no := glob_max_terms;
> while (term_no >= 1) do # do number 3
> array_y[term_no] := array_y_higher_work2[1,term_no];
> ord := 1;
> while ord <= order_diff do # do number 4
> array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no];
> ord := ord + 1;
> od;# end do number 4
> ;
> term_no := term_no - 1;
> od;# end do number 3
> ;
> #END PART 2 HEVE MOVED TERMS to REGULAR Array
> display_alot(current_iter)
> ;
> od;# end do number 2
> ;#right paren 0001C
> omniout_str(ALWAYS,"Finished!");
> if (glob_iter >= glob_max_iter) then # if number 2
> omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!")
> fi;# end if 2
> ;
> if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 2
> omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!")
> fi;# end if 2
> ;
> glob_clock_sec := elapsed_time_seconds();
> omniout_str(INFO,"diff ( y , x , 1 ) = tanh ( x ) ;");
> omniout_int(INFO,"Iterations ",32,glob_iter,4," ")
> ;
> prog_report(x_start,x_end);
> if glob_html_log then # if number 2
> logstart(html_log_file);
> logitem_str(html_log_file,"2012-06-17T03:23:06-05:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"tanh")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = tanh ( x ) ;")
> ;
> logitem_float(html_log_file,x_start)
> ;
> logitem_float(html_log_file,x_end)
> ;
> logitem_float(html_log_file,array_x[1])
> ;
> logitem_float(html_log_file,glob_h)
> ;
> logitem_integer(html_log_file,Digits)
> ;
> ;
> logitem_integer(html_log_file,glob_max_terms)
> ;
> logitem_float(html_log_file,array_1st_rel_error[1])
> ;
> logitem_float(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_iter)
> ;
> logitem_pole(html_log_file,array_type_pole[1])
> ;
> if array_type_pole[1] = 1 or array_type_pole[1] = 2 then # if number 3
> logitem_float(html_log_file,array_pole[1])
> ;
> logitem_float(html_log_file,array_pole[2])
> ;
> 0;
> else
> logitem_str(html_log_file,"NA")
> ;
> logitem_str(html_log_file,"NA")
> ;
> 0;
> fi;# end if 3
> ;
> logitem_time(html_log_file,convfloat(glob_clock_sec))
> ;
> if glob_percent_done < 100.0 then # if number 3
> logitem_time(html_log_file,convfloat(glob_optimal_expect_sec))
> ;
> 0
> else
> logitem_str(html_log_file,"Done")
> ;
> 0
> fi;# end if 3
> ;
> log_revs(html_log_file," 091 | ")
> ;
> logitem_str(html_log_file,"tanh diffeq.mxt")
> ;
> logitem_str(html_log_file,"tanh maple results")
> ;
> logitem_str(html_log_file,"Test of revised logic - mostly for speeding factorials")
> ;
> logend(html_log_file)
> ;
> ;
> fi;# end if 2
> ;
> if glob_html_log then # if number 2
> fclose(html_log_file);
> fi;# end if 2
> ;
> ;;
> #END OUTFILEMAIN
> # End Function number 8
> end;
Warning, `iiif` is implicitly declared local to procedure `mainprog`
Warning, `jjjf` is implicitly declared local to procedure `mainprog`
Warning, `temp1` is implicitly declared local to procedure `mainprog`
Warning, `temp2` 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, iiif,
jjjf, temp1, temp2;
global glob_max_terms, glob_iolevel, INFO, DEBUGL, ALWAYS, DEBUGMASSIVE,
glob_max_rel_trunc_err, hours_in_day, min_in_hour, djd_debug2,
glob_log10normmin, glob_log10abserr, glob_warned2,
glob_optimal_clock_start_sec, glob_last_good_h, glob_large_float,
glob_reached_optimal_h, glob_not_yet_start_msg, glob_initial_pass,
glob_not_yet_finished, djd_debug, glob_subiter_method, glob_iter,
glob_orig_start_sec, glob_optimal_start, glob_max_trunc_err,
glob_log10_relerr, days_in_year, glob_warned, glob_no_eqs, glob_max_iter,
glob_relerr, glob_log10_abserr, glob_hmin, glob_clock_start_sec,
glob_clock_sec, glob_html_log, glob_max_minutes, glob_curr_iter_when_opt,
glob_start, glob_max_sec, glob_dump, MAX_UNCHANGED, glob_current_iter,
glob_max_hours, glob_dump_analytic, glob_hmax, centuries_in_millinium,
sec_in_min, glob_smallish_float, glob_abserr, glob_h, glob_almost_1,
glob_display_flag, glob_optimal_expect_sec, glob_log10relerr,
glob_optimal_done, years_in_century, glob_percent_done, glob_normmax,
glob_unchanged_h_cnt, glob_small_float, glob_look_poles, glob_hmin_init,
glob_disp_incr, glob_max_opt_iter, array_const_1, array_const_0D0,
array_pole, array_y_init, array_1st_rel_error, array_m1, array_type_pole,
array_last_rel_error, array_norms, array_tmp1_a1, array_tmp1_a2, array_y,
array_x, array_tmp0, array_tmp1, array_tmp2, array_fact_1, array_poles,
array_complex_pole, array_y_higher_work, array_real_pole,
array_y_higher_work2, array_fact_2, array_y_set_initial, array_y_higher,
glob_last;
glob_last;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
glob_iolevel := INFO;
glob_max_terms := 30;
glob_iolevel := 5;
INFO := 2;
DEBUGL := 3;
ALWAYS := 1;
DEBUGMASSIVE := 4;
glob_max_rel_trunc_err := 0.1*10^(-10);
hours_in_day := 24.0;
min_in_hour := 60.0;
djd_debug2 := true;
glob_log10normmin := 0.1;
glob_log10abserr := 0.;
glob_warned2 := false;
glob_optimal_clock_start_sec := 0.;
glob_last_good_h := 0.1;
glob_large_float := 0.90*10^101;
glob_reached_optimal_h := false;
glob_not_yet_start_msg := true;
glob_initial_pass := true;
glob_not_yet_finished := true;
djd_debug := true;
glob_subiter_method := 3;
glob_iter := 0;
glob_orig_start_sec := 0.;
glob_optimal_start := 0.;
glob_max_trunc_err := 0.1*10^(-10);
glob_log10_relerr := 0.1*10^(-10);
days_in_year := 365.0;
glob_warned := false;
glob_no_eqs := 0;
glob_max_iter := 1000;
glob_relerr := 0.1*10^(-10);
glob_log10_abserr := 0.1*10^(-10);
glob_hmin := 0.1*10^(-10);
glob_clock_start_sec := 0.;
glob_clock_sec := 0.;
glob_html_log := true;
glob_max_minutes := 0.;
glob_curr_iter_when_opt := 0;
glob_start := 0;
glob_max_sec := 10000.0;
glob_dump := false;
MAX_UNCHANGED := 10;
glob_current_iter := 0;
glob_max_hours := 0.;
glob_dump_analytic := false;
glob_hmax := 1.0;
centuries_in_millinium := 10.0;
sec_in_min := 60.0;
glob_smallish_float := 0.1*10^(-100);
glob_abserr := 0.1*10^(-10);
glob_h := 0.1;
glob_almost_1 := 0.9990;
glob_display_flag := true;
glob_optimal_expect_sec := 0.1;
glob_log10relerr := 0.;
glob_optimal_done := false;
years_in_century := 100.0;
glob_percent_done := 0.;
glob_normmax := 0.;
glob_unchanged_h_cnt := 0;
glob_small_float := 0.1*10^(-50);
glob_look_poles := false;
glob_hmin_init := 0.001;
glob_disp_incr := 0.1;
glob_max_opt_iter := 10;
glob_orig_start_sec := elapsed_time_seconds();
MAX_UNCHANGED := 10;
glob_curr_iter_when_opt := 0;
glob_display_flag := true;
glob_no_eqs := 1;
glob_iter := -1;
opt_iter := -1;
glob_max_iter := 50000;
glob_max_hours := 0.;
glob_max_minutes := 15.0;
omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################");
omniout_str(ALWAYS,
"##############temp/tanhpostode.ode#################");
omniout_str(ALWAYS, "diff ( y , x , 1 ) = tanh ( x ) ;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK");
omniout_str(ALWAYS, "Digits := 32;");
omniout_str(ALWAYS, "max_terms := 30;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#END FIRST INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK");
omniout_str(ALWAYS, "x_start := 0.1;");
omniout_str(ALWAYS, "x_end := 10.0 ;");
omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);");
omniout_str(ALWAYS, "glob_h := 0.00001 ;");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 10;");
omniout_str(ALWAYS, "#END SECOND INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK");
omniout_str(ALWAYS, "glob_h := 0.001 ;");
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, "2.0 + log(cosh((x)))");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "");
omniout_str(ALWAYS, "#END USER DEF BLOCK");
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################");
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_small_float := 0.10*10^(-199);
glob_smallish_float := 0.10*10^(-63);
glob_large_float := 0.10*10^101;
glob_almost_1 := 0.99;
glob_log10_abserr := -8.0;
glob_log10_relerr := -8.0;
glob_hmax := 0.01;
Digits := 32;
max_terms := 30;
glob_max_terms := max_terms;
glob_html_log := true;
array_pole := Array(0 .. max_terms + 1, []);
array_y_init := Array(0 .. max_terms + 1, []);
array_1st_rel_error := Array(0 .. max_terms + 1, []);
array_m1 := Array(0 .. max_terms + 1, []);
array_type_pole := Array(0 .. max_terms + 1, []);
array_last_rel_error := Array(0 .. max_terms + 1, []);
array_norms := Array(0 .. max_terms + 1, []);
array_tmp1_a1 := Array(0 .. max_terms + 1, []);
array_tmp1_a2 := Array(0 .. max_terms + 1, []);
array_y := Array(0 .. max_terms + 1, []);
array_x := Array(0 .. max_terms + 1, []);
array_tmp0 := Array(0 .. max_terms + 1, []);
array_tmp1 := Array(0 .. max_terms + 1, []);
array_tmp2 := Array(0 .. max_terms + 1, []);
array_fact_1 := Array(0 .. max_terms + 1, []);
array_poles := Array(0 .. 2, 0 .. 4, []);
array_complex_pole := Array(0 .. 2, 0 .. 4, []);
array_y_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []);
array_real_pole := Array(0 .. 2, 0 .. 4, []);
array_y_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []);
array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []);
array_y_set_initial := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher := Array(0 .. 3, 0 .. max_terms + 1, []);
term := 1;
while term <= max_terms do array_pole[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_m1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_type_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_last_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_norms[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1_a1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1_a2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_y[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_x[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_tmp0[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_fact_1[term] := 0.; term := term + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do array_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_complex_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_real_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= max_terms do
term := 1;
while term <= max_terms do
array_fact_2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
array_tmp1_a2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp1_a2[term] := 0.; term := term + 1
end do;
array_tmp1_a1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp1_a1[term] := 0.; term := term + 1
end do;
array_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_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;
iiif := 0;
while iiif <= glob_max_terms do
jjjf := 0;
while jjjf <= glob_max_terms do
temp1 := iiif!;
temp2 := jjjf!;
array_fact_1[iiif] := temp1;
array_fact_2[iiif, jjjf] := temp1/temp2;
jjjf := jjjf + 1
end do;
iiif := iiif + 1
end do;
x_start := 0.1;
x_end := 10.0;
array_y_init[1] := exact_soln_y(x_start);
glob_h := 0.00001;
glob_look_poles := true;
glob_max_iter := 10;
glob_h := 0.001;
glob_look_poles := true;
glob_max_iter := 1000;
glob_max_minutes := 15;
glob_last_good_h := glob_h;
glob_max_terms := max_terms;
glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes)
+ convfloat(3600.0)*convfloat(glob_max_hours);
glob_abserr := 10.0^glob_log10_abserr;
glob_relerr := 10.0^glob_log10_relerr;
chk_data();
array_y_set_initial[1, 1] := true;
array_y_set_initial[1, 2] := false;
array_y_set_initial[1, 3] := false;
array_y_set_initial[1, 4] := false;
array_y_set_initial[1, 5] := false;
array_y_set_initial[1, 6] := false;
array_y_set_initial[1, 7] := false;
array_y_set_initial[1, 8] := false;
array_y_set_initial[1, 9] := false;
array_y_set_initial[1, 10] := false;
array_y_set_initial[1, 11] := false;
array_y_set_initial[1, 12] := false;
array_y_set_initial[1, 13] := false;
array_y_set_initial[1, 14] := false;
array_y_set_initial[1, 15] := false;
array_y_set_initial[1, 16] := false;
array_y_set_initial[1, 17] := false;
array_y_set_initial[1, 18] := false;
array_y_set_initial[1, 19] := false;
array_y_set_initial[1, 20] := false;
array_y_set_initial[1, 21] := false;
array_y_set_initial[1, 22] := false;
array_y_set_initial[1, 23] := false;
array_y_set_initial[1, 24] := false;
array_y_set_initial[1, 25] := false;
array_y_set_initial[1, 26] := false;
array_y_set_initial[1, 27] := false;
array_y_set_initial[1, 28] := false;
array_y_set_initial[1, 29] := false;
array_y_set_initial[1, 30] := false;
if glob_html_log then
html_log_file := fopen("html/entry.html", WRITE, TEXT)
end if;
omniout_str(ALWAYS, "START of Soultion");
array_x[1] := x_start;
array_x[2] := glob_h;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*glob_h^(term_no - 1)/
factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
glob_h^(term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
current_iter := 1;
glob_clock_start_sec := elapsed_time_seconds();
start_array_y();
if glob_small_float < abs(array_y_higher[1, 1]) then
tmp := abs(array_y_higher[1, 1]);
log10norm := log10(tmp);
if log10norm < glob_log10normmin then
glob_log10normmin := log10norm
end if
end if;
display_alot(current_iter);
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := 0;
glob_iter := 0;
omniout_str(DEBUGL, " ");
glob_reached_optimal_h := true;
glob_optimal_clock_start_sec := elapsed_time_seconds();
while glob_current_iter < glob_max_iter and array_x[1] <= x_end and
convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
convfloat(glob_max_sec) do
omniout_str(INFO, " ");
omniout_str(INFO, "TOP MAIN SOLVE Loop");
glob_iter := glob_iter + 1;
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := glob_current_iter + 1;
atomall();
if glob_look_poles then check_for_pole() end if;
array_x[1] := array_x[1] + glob_h;
array_x[2] := glob_h;
order_diff := 1;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[2, iii] := array_y_higher[2, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!;
term_no := glob_max_terms;
while 1 <= term_no do
array_y[term_no] := array_y_higher_work2[1, term_no];
ord := 1;
while ord <= order_diff do
array_y_higher[ord, term_no] :=
array_y_higher_work2[ord, term_no];
ord := ord + 1
end do;
term_no := term_no - 1
end do;
display_alot(current_iter)
end do;
omniout_str(ALWAYS, "Finished!");
if glob_max_iter <= glob_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!")
end if;
if convfloat(glob_max_sec) <=
elapsed_time_seconds() - convfloat(glob_orig_start_sec) then
omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!")
end if;
glob_clock_sec := elapsed_time_seconds();
omniout_str(INFO, "diff ( y , x , 1 ) = tanh ( x ) ;");
omniout_int(INFO, "Iterations ", 32, glob_iter, 4,
" ");
prog_report(x_start, x_end);
if glob_html_log then
logstart(html_log_file);
logitem_str(html_log_file, "2012-06-17T03:23:06-05:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file, "tanh");
logitem_str(html_log_file, "diff ( y , x , 1 ) = tanh ( x ) ;");
logitem_float(html_log_file, x_start);
logitem_float(html_log_file, x_end);
logitem_float(html_log_file, array_x[1]);
logitem_float(html_log_file, glob_h);
logitem_integer(html_log_file, Digits);
logitem_integer(html_log_file, glob_max_terms);
logitem_float(html_log_file, array_1st_rel_error[1]);
logitem_float(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_iter);
logitem_pole(html_log_file, array_type_pole[1]);
if array_type_pole[1] = 1 or array_type_pole[1] = 2 then
logitem_float(html_log_file, array_pole[1]);
logitem_float(html_log_file, array_pole[2]);
0
else
logitem_str(html_log_file, "NA");
logitem_str(html_log_file, "NA");
0
end if;
logitem_time(html_log_file, convfloat(glob_clock_sec));
if glob_percent_done < 100.0 then
logitem_time(html_log_file, convfloat(glob_optimal_expect_sec))
;
0
else logitem_str(html_log_file, "Done"); 0
end if;
log_revs(html_log_file, " 091 | ");
logitem_str(html_log_file,
"tanh diffeq.mxt");
logitem_str(html_log_file,
"tanh maple results");
logitem_str(html_log_file,
"Test of revised logic - mostly for speeding factorials");
logend(html_log_file)
end if;
if glob_html_log then fclose(html_log_file) end if
end proc
> mainprog();
##############ECHO OF PROBLEM#################
##############temp/tanhpostode.ode#################
diff ( y , x , 1 ) = tanh ( x ) ;
!
#BEGIN FIRST INPUT BLOCK
Digits := 32;
max_terms := 30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := 0.1;
x_end := 10.0 ;
array_y_init[0 + 1] := exact_soln_y(x_start);
glob_h := 0.00001 ;
glob_look_poles := true;
glob_max_iter := 10;
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE BLOCK
glob_h := 0.001 ;
glob_look_poles := true;
glob_max_iter := 1000;
glob_max_minutes := 15;
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
exact_soln_y := proc(x)
2.0 + log(cosh((x)))
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
x[1] = 0.1
y[1] (analytic) = 2.004991688821646530267711591083
y[1] (numeric) = 2.004991688821646530267711591083
absolute error = 0
relative error = 0 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.579
Order of pole = 2.182
x[1] = 0.101
y[1] (analytic) = 2.0050918518164442354346634688945
y[1] (numeric) = 2.0050918518164442361476668312021
absolute error = 7.130033623076e-19
relative error = 3.5559635917011933555257461231532e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.102
y[1] (analytic) = 2.005193004679056679893102628732
y[1] (numeric) = 2.0051930046790566813178421181392
absolute error = 1.4247394894072e-18
relative error = 7.1052486522874051680876364377534e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.103
y[1] (analytic) = 2.0052951472092482916830176625069
y[1] (numeric) = 2.0052951472092482938182147233611
absolute error = 2.1351970608542e-18
relative error = 1.0647794484645988720330738136728e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.104
y[1] (analytic) = 2.0053982792048655188354135460439
y[1] (numeric) = 2.0053982792048655216797783385613
absolute error = 2.8443647925174e-18
relative error = 1.4183540606433462285194198405379e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.105
y[1] (analytic) = 2.0055024004618384212877216845437
y[1] (numeric) = 2.0055024004618384248399531214238
absolute error = 3.5522314368801e-18
relative error = 1.7712426751830723708812360653690e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
memory used=3.8MB, alloc=2.8MB, time=0.16
x[1] = 0.106
y[1] (analytic) = 2.0056075107741822773929651283328
y[1] (numeric) = 2.0056075107741822816517509116721
absolute error = 4.2587857833393e-18
relative error = 2.1234392873286413534770906385351e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.107
y[1] (analytic) = 2.0057136099339992049959591856279
y[1] (numeric) = 2.0057136099339992099599758441309
absolute error = 4.9640166585030e-18
relative error = 2.4749379143248411571236644145388e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.108
y[1] (analytic) = 2.00582069773147979704959689312
y[1] (numeric) = 2.0058206977314798027175098196066
absolute error = 5.6679129264866e-18
relative error = 2.8257325955888437492088765306697e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.109
y[1] (analytic) = 2.0059287739549047717440388035411
y[1] (numeric) = 2.005928773954904778114502292748
absolute error = 6.3704634892069e-18
relative error = 3.1758173928812261059032151297024e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.11
y[1] (analytic) = 2.0060378383906466371213973181115
y[1] (numeric) = 2.0060378383906466441930546047866
absolute error = 7.0716572866751e-18
relative error = 3.5251863904762487293294696228282e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.111
y[1] (analytic) = 2.0061478908231713701482773369442
y[1] (numeric) = 2.006147890823171377919760634232
absolute error = 7.7714832972878e-18
relative error = 3.8738336953308915871042316949094e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.112
y[1] (analytic) = 2.0062589310350401102183073281272
y[1] (numeric) = 2.0062589310350401186882378662437
absolute error = 8.4699305381165e-18
relative error = 4.2217534372528952965165096818169e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.113
y[1] (analytic) = 2.0063709588069108670565680323174
y[1] (numeric) = 2.006370958806910876223556097513
absolute error = 9.1669880651956e-18
relative error = 4.5689397690678060788658309928555e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.114
y[1] (analytic) = 2.0064839739175402429975999302151
y[1] (numeric) = 2.0064839739175402528602449040232
absolute error = 9.8626449738081e-18
relative error = 4.9153868667846243194603500801343e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 2.182
x[1] = 0.115
y[1] (analytic) = 2.006597976143785169608445311179
y[1] (numeric) = 2.0065979761437851801653357099496
absolute error = 1.05568903987706e-17
relative error = 5.2610889297608528216262995754410e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.182
x[1] = 0.116
y[1] (analytic) = 2.0067129652606046586279562983802
y[1] (numeric) = 2.0067129652606046698776698130956
absolute error = 1.12497135147154e-17
relative error = 5.6060401808658468563842909120610e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.182
memory used=7.6MB, alloc=3.9MB, time=0.37
x[1] = 0.117
y[1] (analytic) = 2.0068289410410615671933765151313
y[1] (numeric) = 2.0068289410410615791344800515038
absolute error = 1.19411035363725e-17
relative error = 5.9502348666438601212134559254245e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.118
y[1] (analytic) = 2.0069459032563243773249812242047
y[1] (numeric) = 2.0069459032563243899560309430526
absolute error = 1.26310497188479e-17
relative error = 6.2936672574749911727626176102714e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.119
y[1] (analytic) = 2.0070638516756689896393387428334
y[1] (numeric) = 2.0070638516756690029588801007352
absolute error = 1.33195413579018e-17
relative error = 6.6363316477358230795332920118843e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.12
y[1] (analytic) = 2.0071827860664805312615347364537
y[1] (numeric) = 2.0071827860664805452681025266787
absolute error = 1.40065677902250e-17
relative error = 6.9782223559589077058349848047945e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.121
y[1] (analytic) = 2.0073027061942551779064806297952
y[1] (numeric) = 2.0073027061942551925985990235067
absolute error = 1.46921183937115e-17
relative error = 7.3193337249900969969076229302449e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.122
y[1] (analytic) = 2.0074236118226019900992078503387
y[1] (numeric) = 2.0074236118226020054753904380715
absolute error = 1.53761825877328e-17
relative error = 7.6596601221464602669948272805639e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.123
y[1] (analytic) = 2.0075455027132447635038309421086
y[1] (numeric) = 2.0075455027132447795625807755155
absolute error = 1.60587498334069e-17
relative error = 7.9991959393712986855140846883796e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.124
y[1] (analytic) = 2.007668378626023893330644762823
y[1] (numeric) = 2.0076683786260239100704543966911
absolute error = 1.67398096338681e-17
relative error = 8.3379355933892948417431685233912e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.125
y[1] (analytic) = 2.0077922393188982527906040102001
y[1] (numeric) = 2.0077922393188982702099555447342
absolute error = 1.74193515345341e-17
relative error = 8.6758735258600524409990868972590e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.126
y[1] (analytic) = 2.007917084547947085566217219226
y[1] (numeric) = 2.0079170845479471036635823425963
absolute error = 1.80973651233703e-17
relative error = 9.0130042035299753515517601517655e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.127
y[1] (analytic) = 2.0080429140673719122676721369371
y[1] (numeric) = 2.0080429140673719310415121680914
absolute error = 1.87738400311543e-17
relative error = 9.3493221183839790639444610743777e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 2.183
x[1] = 0.128
y[1] (analytic) = 2.0081697276294984508427950202305
y[1] (numeric) = 2.0081697276294984702915609519678
absolute error = 1.94487659317373e-17
relative error = 9.6848217877953897110481905423004e-16 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=4.0MB, time=0.57
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.183
x[1] = 0.129
y[1] (analytic) = 2.0082975249847785509092329208015
y[1] (numeric) = 2.0082975249847785710313654631048
absolute error = 2.01221325423033e-17
relative error = 1.0019497754674477963611408934118e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.183
x[1] = 0.13
y[1] (analytic) = 2.0084263058817921419770354249161
y[1] (numeric) = 2.0084263058817921627709650485441
absolute error = 2.07939296236280e-17
relative error = 1.0353344587616572816924560117339e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.131
y[1] (analytic) = 2.0085560700672491955296006097147
y[1] (numeric) = 2.0085560700672492169937475900491
absolute error = 2.14641469803344e-17
relative error = 1.0686356881048260254246869305431e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.132
y[1] (analytic) = 2.0086868172859917009307391674144
y[1] (numeric) = 2.0086868172859917230635136285615
absolute error = 2.21327744611471e-17
relative error = 1.1018529255372661748544179143548e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.133
y[1] (analytic) = 2.0088185472809956551254007394151
y[1] (numeric) = 2.0088185472809956779252026985599
absolute error = 2.27998019591448e-17
relative error = 1.1349856357113542558980408408103e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.134
y[1] (analytic) = 2.0089512597933730661013974991593
y[1] (numeric) = 2.0089512597933730895666169111704
absolute error = 2.34652194120111e-17
relative error = 1.1680332859058298589873361996660e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.135
y[1] (analytic) = 2.0090849545623739700792519308422
y[1] (numeric) = 2.0090849545623739942082687331246
absolute error = 2.41290168022824e-17
relative error = 1.2009953460399223512381268317120e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.136
y[1] (analytic) = 2.0092196313253884623970885758768
y[1] (numeric) = 2.0092196313253884871882727334728
absolute error = 2.47911841575960e-17
relative error = 1.2338712886874598322984796944986e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.137
y[1] (analytic) = 2.0093552898179487420572832655281
y[1] (numeric) = 2.0093552898179487675089948164617
absolute error = 2.54517115509336e-17
relative error = 1.2666605890907213097343419220330e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.138
y[1] (analytic) = 2.0094919297737311699013780313961
y[1] (numeric) = 2.0094919297737311960119671322611
absolute error = 2.61105891008650e-17
relative error = 1.2993627251742709331004576564897e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 2.184
x[1] = 0.139
y[1] (analytic) = 2.0096295509245583403795654905269
y[1] (numeric) = 2.0096295509245583671473724623162
absolute error = 2.67678069717893e-17
relative error = 1.3319771775586397957240060323739e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=15.2MB, alloc=4.1MB, time=0.78
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.14
y[1] (analytic) = 2.0097681530004011668808430438475
y[1] (numeric) = 2.0097681530004011943041984180211
absolute error = 2.74233553741736e-17
relative error = 1.3645034295738552318553224783565e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.141
y[1] (analytic) = 2.0099077357293809805897347103265
y[1] (numeric) = 2.0099077357293810086669592751172
absolute error = 2.80772245647907e-17
relative error = 1.3969409672728921695823641403309e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.142
y[1] (analytic) = 2.0100482988377716428352768496952
y[1] (numeric) = 2.0100482988377716715646816966487
absolute error = 2.87294048469535e-17
relative error = 1.4292892794449320104210601482837e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.143
y[1] (analytic) = 2.010189842050001670897763408593
y[1] (numeric) = 2.0101898420500017002776499793426
absolute error = 2.93798865707496e-17
relative error = 1.4615478576286031023638629145098e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.144
y[1] (analytic) = 2.0103323650886563772385466634942
y[1] (numeric) = 2.0103323650886564072672067967657
absolute error = 3.00286601332715e-17
relative error = 1.4937161961249738589514363032467e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.145
y[1] (analytic) = 2.0104758676744800221179907335171
y[1] (numeric) = 2.0104758676744800527937067123638
absolute error = 3.06757159788467e-17
relative error = 1.5257937920105123895114412982784e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.146
y[1] (analytic) = 2.0106203495263779795664774020004
y[1] (numeric) = 2.0106203495263780108875220012652
absolute error = 3.13210445992648e-17
relative error = 1.5577801451498682880321522245357e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.185
x[1] = 0.147
y[1] (analytic) = 2.0107658103614189166731670222614
y[1] (numeric) = 2.0107658103614189486378035562648
absolute error = 3.19646365340034e-17
relative error = 1.5896747582085660542565030640783e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.186
x[1] = 0.148
y[1] (analytic) = 2.0109122498948369861570214949333
y[1] (numeric) = 2.0109122498948370187635038653841
absolute error = 3.26064823704508e-17
relative error = 1.6214771366655106022499133121210e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 2.186
x[1] = 0.149
y[1] (analytic) = 2.0110596678400340321844014963381
y[1] (numeric) = 2.0110596678400340654309742404662
absolute error = 3.32465727441281e-17
relative error = 1.6531867888254341067390060314804e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.15
y[1] (analytic) = 2.0112080639085818093973563141175
y[1] (numeric) = 2.0112080639085818432822546530262
absolute error = 3.38848983389087e-17
relative error = 1.6848032258311846458601829531457e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.151
y[1] (analytic) = 2.0113574378102242151165318123588
y[1] (numeric) = 2.0113574378102242496379816995942
absolute error = 3.45214498872354e-17
relative error = 1.7163259616758665380951105284896e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=19.0MB, alloc=4.1MB, time=0.99
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.152
y[1] (analytic) = 2.01150778925287953468243020825
y[1] (numeric) = 2.011507789252879569838648378586
absolute error = 3.51562181703360e-17
relative error = 1.7477545132148770675026725282442e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.153
y[1] (analytic) = 2.0116591179426426998985645003615
y[1] (numeric) = 2.0116591179426427356877585187982
absolute error = 3.57891940184367e-17
relative error = 1.7790884001778047304712294302539e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.154
y[1] (analytic) = 2.011811423583787560539860549414
y[1] (numeric) = 2.0118114235837875969602288603882
absolute error = 3.64203683109742e-17
relative error = 1.8103271451802336903900467645577e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.186
x[1] = 0.155
y[1] (analytic) = 2.0119647058787691688894709802606
y[1] (numeric) = 2.0119647058787692059392029570642
absolute error = 3.70497319768036e-17
relative error = 1.8414702737353102315057533805682e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.156
y[1] (analytic) = 2.0121189645282260772669772531296
y[1] (numeric) = 2.0121189645282261149442532475366
absolute error = 3.76772759944070e-17
relative error = 1.8725173142653147443180388048062e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.157
y[1] (analytic) = 2.0122741992309826485107694472802
y[1] (numeric) = 2.0122741992309826868137608393785
absolute error = 3.83029913920983e-17
relative error = 1.9034677981130154949807081845641e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 2.187
x[1] = 0.158
y[1] (analytic) = 2.0124304096840513793772075153639
y[1] (numeric) = 2.0124304096840514183040767635904
absolute error = 3.89268692482265e-17
relative error = 1.9343212595529184702576061504516e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.159
y[1] (analytic) = 2.0125875955826352368189830062114
y[1] (numeric) = 2.0125875955826352763678836975883
absolute error = 3.95489006913769e-17
relative error = 1.9650772358023834283598900051056e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.16
y[1] (analytic) = 2.0127457566201300071049165216553
y[1] (numeric) = 2.0127457566201300472739934222254
absolute error = 4.01690769005701e-17
relative error = 1.9957352670326011481976467664593e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.161
y[1] (analytic) = 2.0129048924881266577432434735066
y[1] (numeric) = 2.0129048924881266985306325789659
absolute error = 4.07873891054593e-17
relative error = 2.0262948963794566825604912628588e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.187
x[1] = 0.162
y[1] (analytic) = 2.0130650028764137121702590440272
y[1] (numeric) = 2.0130650028764137535740876305517
absolute error = 4.14038285865245e-17
relative error = 2.0567556699542090237323611000431e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.163
y[1] (analytic) = 2.0132260874729796371660126312424
y[1] (numeric) = 2.0132260874729796791843993065091
absolute error = 4.20183866752667e-17
relative error = 2.0871171368541411583088438220680e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=22.8MB, alloc=4.1MB, time=1.21
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.164
y[1] (analytic) = 2.0133881459640152429585624832472
y[1] (numeric) = 2.0133881459640152855896172376446
absolute error = 4.26310547543974e-17
relative error = 2.1173788491729469849834742544288e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.165
y[1] (analytic) = 2.0135511780339160959781226972295
y[1] (numeric) = 2.0135511780339161392199469552574
absolute error = 4.32418242580279e-17
relative error = 2.1475403620110786252710483105453e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.166
y[1] (analytic) = 2.0137151833652849442222572832272
y[1] (numeric) = 2.0137151833652849880729439550829
absolute error = 4.38506866718557e-17
relative error = 2.1776012334859199673064078326747e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 2.188
x[1] = 0.167
y[1] (analytic) = 2.013880161638934155193099573514
y[1] (numeric) = 2.0138801616389341996507331068632
absolute error = 4.44576335333492e-17
relative error = 2.2075610247418460276591182044986e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.168
y[1] (analytic) = 2.0140461125338881663673998998411
y[1] (numeric) = 2.0140461125338882114300563317711
absolute error = 4.50626564319300e-17
relative error = 2.2374192999601333420459704500508e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.169
y[1] (analytic) = 2.0142130357273859481600301663358
y[1] (numeric) = 2.0142130357273859938257771754887
absolute error = 4.56657470091529e-17
relative error = 2.2671756263687263385069264543372e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.188
x[1] = 0.17
y[1] (analytic) = 2.0143809308948834793414007194438
y[1] (numeric) = 2.0143809308948835256082976783282
absolute error = 4.62668969588844e-17
relative error = 2.2968295742518993957807335761744e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.171
y[1] (analytic) = 2.0145497977100562348690727616126
y[1] (numeric) = 2.014549797710056281735170789091
absolute error = 4.68660980274784e-17
relative error = 2.3263807169597500236146040794048e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.172
y[1] (analytic) = 2.0147196358448016860936784761194
y[1] (numeric) = 2.0147196358448017335570204900698
absolute error = 4.74633420139504e-17
relative error = 2.3558286309175876972346376870351e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.173
y[1] (analytic) = 2.0148904449692418132990910301852
y[1] (numeric) = 2.0148904449692418613577118003339
absolute error = 4.80586207701487e-17
relative error = 2.3851728956351438716748162555565e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.174
y[1] (analytic) = 2.0150622247517256305366177058614
y[1] (numeric) = 2.0150622247517256791885439067864
absolute error = 4.86519262009250e-17
relative error = 2.4144130937157222965987589276215e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=26.7MB, alloc=4.1MB, time=1.41
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.175
y[1] (analytic) = 2.0152349748588317227128215766842
y[1] (numeric) = 2.0152349748588317719560718409849
absolute error = 4.92432502643007e-17
relative error = 2.4435488108651059790667638572950e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 2.189
x[1] = 0.176
y[1] (analytic) = 2.0154086949553707948904104062408
y[1] (numeric) = 2.015408694955370844722995377874
absolute error = 4.98325849716332e-17
relative error = 2.4725796359004342112954885489568e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.177
y[1] (analytic) = 2.0155833847043882337614657960619
y[1] (numeric) = 2.0155833847043882841813881838404
absolute error = 5.04199223877785e-17
relative error = 2.5015051607588660286692811912919e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.178
y[1] (analytic) = 2.0157590437671666812521210580267
y[1] (numeric) = 2.015759043767166732257375689279
absolute error = 5.10052546312523e-17
relative error = 2.5303249805061392857240264965592e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.179
y[1] (analytic) = 2.0159356718032286202176328341299
y[1] (numeric) = 2.0159356718032286718062067085189
absolute error = 5.15885738743890e-17
relative error = 2.5590386933449955711711622270219e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.189
x[1] = 0.18
y[1] (analytic) = 2.0161132684703389721866291373218
y[1] (numeric) = 2.0161132684703390243565014808203
absolute error = 5.21698723434985e-17
relative error = 2.5876459006234660059376260786369e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.181
y[1] (analytic) = 2.0162918334245077071131552444738
y[1] (numeric) = 2.0162918334245077598622975634941
absolute error = 5.27491423190203e-17
relative error = 2.6161462068429931354387937013697e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.182
y[1] (analytic) = 2.0164713663199924650949787395725
y[1] (numeric) = 2.0164713663199925184213548752489
absolute error = 5.33263761356764e-17
relative error = 2.6445392196664633303097332051419e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.183
y[1] (analytic) = 2.0166518668093011900164559852011
y[1] (numeric) = 2.0166518668093012439180221678222
absolute error = 5.39015661826211e-17
relative error = 2.6728245499260554627824121135271e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 2.19
x[1] = 0.184
y[1] (analytic) = 2.0168333345431947750741043963565
y[1] (numeric) = 2.0168333345431948295488092999458
absolute error = 5.44747049035893e-17
relative error = 2.7010018116309852346264118637579e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.185
y[1] (analytic) = 2.0170157691706897201428681057887
y[1] (numeric) = 2.0170157691706897751886529028306
absolute error = 5.50457847970419e-17
relative error = 2.7290706219750757433393924666265e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.186
y[1] (analytic) = 2.0171991703390608009409089473748
y[1] (numeric) = 2.017199170339060856555707363685
absolute error = 5.56147984163102e-17
relative error = 2.7570306013442485186475777009553e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=30.5MB, alloc=4.1MB, time=1.61
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.187
y[1] (analytic) = 2.017383537693843749950600146576
y[1] (numeric) = 2.0173835376938438061323385163125
absolute error = 5.61817383697365e-17
relative error = 2.7848813733237962200964664648485e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.188
y[1] (analytic) = 2.0175688708788379490532466977212
y[1] (numeric) = 2.0175688708788380057998440185353
absolute error = 5.67465973208141e-17
relative error = 2.8126225647055956775211602280706e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.189
y[1] (analytic) = 2.0177551695361091338349041296518
y[1] (numeric) = 2.0177551695361091911442721179759
absolute error = 5.73093679883241e-17
relative error = 2.8402538054951323940653546679281e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.19
y[1] (analytic) = 2.0179424333059921095205162170059
y[1] (numeric) = 2.0179424333059921673905593634761
absolute error = 5.78700431464702e-17
relative error = 2.8677747289183960388371661016840e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.191
y[1] (analytic) = 2.0181306618270934784934421869581
y[1] (numeric) = 2.01813066182709353692205781197
absolute error = 5.84286156250119e-17
relative error = 2.8951849714286667740682658232419e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.192
y[1] (analytic) = 2.0183198547362943793572951033446
y[1] (numeric) = 2.0183198547362944383423734127389
absolute error = 5.89850783093943e-17
relative error = 2.9224841727131032472470974438984e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 2.19
x[1] = 0.193
y[1] (analytic) = 2.0185100116687532374968653845232
y[1] (numeric) = 2.0185100116687532970362895253999
absolute error = 5.95394241408767e-17
relative error = 2.9496719756992413136450662530960e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.194
y[1] (analytic) = 2.0187011322579085270947568307518
y[1] (numeric) = 2.0187011322579085871864029474112
absolute error = 6.00916461166594e-17
relative error = 2.9767480265613737719632546411198e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.195
y[1] (analytic) = 2.0188932161354815445602171039572
y[1] (numeric) = 2.0188932161354816052019543939639
absolute error = 6.06417372900067e-17
relative error = 3.0037119747267120750233900664261e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.196
y[1] (analytic) = 2.0190862629314791933265003201072
y[1] (numeric) = 2.0190862629314792545161910904759
absolute error = 6.11896907703687e-17
relative error = 3.0305634728814588809062093221997e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.197
y[1] (analytic) = 2.0192802722741967799729562845636
y[1] (numeric) = 2.0192802722741968417084560080651
absolute error = 6.17354997235015e-17
relative error = 3.0573021769767716463228339259783e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.198
y[1] (analytic) = 2.0194752437902208216278989262891
y[1] (numeric) = 2.0194752437902208839070562978731
absolute error = 6.22791573715840e-17
relative error = 3.0839277462345281558519589049110e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=34.3MB, alloc=4.2MB, time=1.83
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.199
y[1] (analytic) = 2.0196711771044318646081656700649
y[1] (numeric) = 2.0196711771044319274288226633977
absolute error = 6.28206569933328e-17
relative error = 3.1104398431529683445237408303326e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 2.191
x[1] = 0.2
y[1] (analytic) = 2.0198680718400073142511398293878
y[1] (numeric) = 2.0198680718400073776111317535033
absolute error = 6.33599919241155e-17
relative error = 3.1368381335122273063683848689109e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.59
Order of pole = 2.191
x[1] = 0.201
y[1] (analytic) = 2.0200659276184242758948696088192
y[1] (numeric) = 2.0200659276184243397920251648807
absolute error = 6.38971555560615e-17
relative error = 3.1631222863797149678267408315408e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.59
Order of pole = 2.191
x[1] = 0.202
y[1] (analytic) = 2.020264744059462406961779975591
y[1] (numeric) = 2.0202647440594624713939213137607
absolute error = 6.44321413381697e-17
relative error = 3.1892919741153127912602016000790e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.59
Order of pole = 2.191
x[1] = 0.203
y[1] (analytic) = 2.0204645207812067801013374985129
y[1] (numeric) = 2.0204645207812068450662802749285
absolute error = 6.49649427764156e-17
relative error = 3.2153468723765113296430661537368e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.59
Order of pole = 2.191
x[1] = 0.204
y[1] (analytic) = 2.0206652574000507573468932599272
y[1] (numeric) = 2.0206652574000508228424466937822
absolute error = 6.54955534338550e-17
relative error = 3.2412866601233500679916285590074e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.59
Order of pole = 2.191
x[1] = 0.205
y[1] (analytic) = 2.0208669535306988752417951257989
y[1] (numeric) = 2.0208669535306989412657620565246
absolute error = 6.60239669307257e-17
relative error = 3.2671110196232289303985060330596e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.59
Order of pole = 2.191
x[1] = 0.206
y[1] (analytic) = 2.0210696087861697408897280121684
y[1] (numeric) = 2.0210696087861698074399049567155
absolute error = 6.65501769445471e-17
relative error = 3.2928196364555865606837145227445e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.59
Order of pole = 2.191
x[1] = 0.207
y[1] (analytic) = 2.0212732227777989388841093152372
y[1] (numeric) = 2.0212732227777990059582865254553
absolute error = 6.70741772102181e-17
relative error = 3.3184121995164652274980814519240e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.59
Order of pole = 2.191
x[1] = 0.208
y[1] (analytic) = 2.0214777951152419490712363793559
y[1] (numeric) = 2.0214777951152420166671978994675
absolute error = 6.75959615201116e-17
relative error = 3.3438884010228783063082933383061e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.591
Order of pole = 2.191
x[1] = 0.209
y[1] (analytic) = 2.0216833254064770751017537641527
y[1] (numeric) = 2.0216833254064771432172774883204
absolute error = 6.81155237241677e-17
relative error = 3.3692479365170843230217156868252e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.591
Order of pole = 2.191
memory used=38.1MB, alloc=4.2MB, time=2.04
x[1] = 0.21
y[1] (analytic) = 2.0218898132578083837248801409489
y[1] (numeric) = 2.021889813257808452357737870934
absolute error = 6.86328577299851e-17
relative error = 3.3944905048707428693938532649466e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.591
Order of pole = 2.191
x[1] = 0.211
y[1] (analytic) = 2.0220972582738686547797079013784
y[1] (numeric) = 2.0220972582738687239276654042868
absolute error = 6.91479575029084e-17
relative error = 3.4196158082888387056605722547577e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.591
Order of pole = 2.191
x[1] = 0.212
y[1] (analytic) = 2.0223056600576223418377629996241
y[1] (numeric) = 2.0223056600576224114985800657394
absolute error = 6.96608170661153e-17
relative error = 3.4446235523135719870191026693135e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.591
Order of pole = 2.191
x[1] = 0.213
y[1] (analytic) = 2.0225150182103685434508881757577
y[1] (numeric) = 2.0225150182103686136223186764585
absolute error = 7.01714305007008e-17
relative error = 3.4695134458280712306275080714167e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.591
Order of pole = 2.191
x[1] = 0.214
y[1] (analytic) = 2.0227253323317439849583895230855
y[1] (numeric) = 2.0227253323317440556381814688437
absolute error = 7.06797919457582e-17
relative error = 3.4942852010599192430637216344603e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.591
Order of pole = 2.191
x[1] = 0.215
y[1] (analytic) = 2.0229366020197260108072643689052
y[1] (numeric) = 2.0229366020197260819931599673652
absolute error = 7.11858955984600e-17
relative error = 3.5189385335846453681678009675415e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.591
Order of pole = 2.191
x[1] = 0.216
y[1] (analytic) = 2.0231488268706355873392076373763
y[1] (numeric) = 2.0231488268706356590289433515105
absolute error = 7.16897357141342e-17
relative error = 3.5434731623289616371974233784807e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.592
Order of pole = 2.191
x[1] = 0.217
y[1] (analytic) = 2.0233620064791403159979742569179
y[1] (numeric) = 2.0233620064791403881892808632584
absolute error = 7.21913066063405e-17
relative error = 3.5678888095739653956589585289587e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.592
Order of pole = 2.191
x[1] = 0.218
y[1] (analytic) = 2.0235761404382574569105567643079
y[1] (numeric) = 2.0235761404382575296011594112505
absolute error = 7.26906026469426e-17
relative error = 3.5921852009581206314660128163665e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.592
Order of pole = 2.19
x[1] = 0.219
y[1] (analytic) = 2.0237912283393569627955200449966
y[1] (numeric) = 2.0237912283393570359831383111762
absolute error = 7.31876182661796e-17
relative error = 3.6163620654801663924840952758282e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.592
Order of pole = 2.19
x[1] = 0.22
y[1] (analytic) = 2.0240072697721645231517191355959
y[1] (numeric) = 2.02400726977216459683406708833
absolute error = 7.36823479527341e-17
relative error = 3.6404191355018337605401321926883e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.592
Order of pole = 2.19
x[1] = 0.221
y[1] (analytic) = 2.0242242643247646186805112015145
y[1] (numeric) = 2.0242242643247646928552974553136
absolute error = 7.41747862537991e-17
relative error = 3.6643561467504752592428140940965e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=41.9MB, alloc=4.2MB, time=2.38
Complex estimate of poles used
Radius of convergence = 1.592
Order of pole = 2.19
x[1] = 0.222
y[1] (analytic) = 2.0244422115836035858944591917143
y[1] (numeric) = 2.0244422115836036605593869668563
absolute error = 7.46649277751420e-17
relative error = 3.6881728383215227802602925606125e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.592
Order of pole = 2.19
x[1] = 0.223
y[1] (analytic) = 2.0246611111334926918654122649237
y[1] (numeric) = 2.0246611111334927670181794460902
absolute error = 7.51527671811665e-17
relative error = 3.7118689526808136641564552688555e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.593
Order of pole = 2.19
x[1] = 0.224
y[1] (analytic) = 2.0248809625576112190647368787027
y[1] (numeric) = 2.0248809625576112947030360736752
absolute error = 7.56382991949725e-17
relative error = 3.7354442356667899700473834405086e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.593
Order of pole = 2.19
x[1] = 0.225
y[1] (analytic) = 2.0251017654375095602483624357882
y[1] (numeric) = 2.0251017654375096363698810342019
absolute error = 7.61215185984137e-17
relative error = 3.7588984364925562138512503918710e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.593
Order of pole = 2.19
x[1] = 0.226
y[1] (analytic) = 2.0253235193531123233391965923978
y[1] (numeric) = 2.0253235193531123999416168245507
absolute error = 7.66024202321529e-17
relative error = 3.7822313077477956821746303916247e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.593
Order of pole = 2.19
x[1] = 0.227
y[1] (analytic) = 2.0255462238827214462593577518319
y[1] (numeric) = 2.0255462238827215233403567475471
absolute error = 7.70809989957152e-17
relative error = 3.8054426054005553047820244057189e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.593
Order of pole = 2.19
x[1] = 0.228
y[1] (analytic) = 2.0257698786030193216645658949312
y[1] (numeric) = 2.0257698786030193992218157424707
absolute error = 7.75572498475395e-17
relative error = 3.8285320887989189346814112045005e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.593
Order of pole = 2.19
x[1] = 0.229
y[1] (analytic) = 2.0259944830890719315329277378279
y[1] (numeric) = 2.0259944830890720095640955428541
absolute error = 7.80311678050262e-17
relative error = 3.8514995206724654730442117176229e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.593
Order of pole = 2.19
x[1] = 0.23
y[1] (analytic) = 2.0262200369143319915602482580253
y[1] (numeric) = 2.0262200369143320700629962026103
absolute error = 7.85027479445850e-17
relative error = 3.8743446671337044880099156523793e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.594
Order of pole = 2.19
x[1] = 0.231
y[1] (analytic) = 2.0264465396506421053138978931759
y[1] (numeric) = 2.0264465396506421842858832948544
absolute error = 7.89719854016785e-17
relative error = 3.8970672976792771580183356027446e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.594
Order of pole = 2.19
x[1] = 0.232
y[1] (analytic) = 2.0266739908682379280971631939542
y[1] (numeric) = 2.0266739908682380075360385648191
absolute error = 7.94388753708649e-17
relative error = 3.9196671851910855599914479616782e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.594
Order of pole = 2.189
x[1] = 0.233
y[1] (analytic) = 2.0269023901357513404759084040772
y[1] (numeric) = 2.0269023901357514203793215099148
absolute error = 7.99034131058376e-17
relative error = 3.9421441059372418290304635516790e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=45.7MB, alloc=4.2MB, time=2.90
Complex estimate of poles used
Radius of convergence = 1.594
Order of pole = 2.189
x[1] = 0.234
y[1] (analytic) = 2.0271317370202136314192763476761
y[1] (numeric) = 2.0271317370202137117848702671397
absolute error = 8.03655939194636e-17
relative error = 3.9644978395729310718735767093260e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.594
Order of pole = 2.189
x[1] = 0.235
y[1] (analytic) = 2.0273620310870586910060591277096
y[1] (numeric) = 2.0273620310870587718314723115284
absolute error = 8.08254131838188e-17
relative error = 3.9867281691410943979534327346226e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.594
Order of pole = 2.189
x[1] = 0.236
y[1] (analytic) = 2.0275932719001262126482724797133
y[1] (numeric) = 2.0275932719001262939311388099348
absolute error = 8.12828663302215e-17
relative error = 4.0088348810729963412703967188931e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.594
Order of pole = 2.189
x[1] = 0.237
y[1] (analytic) = 2.0278254590216649047833721836488
y[1] (numeric) = 2.027825459021664986521321032913
absolute error = 8.17379488492642e-17
relative error = 4.0308177651886817133200131866912e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.595
Order of pole = 2.189
x[1] = 0.238
y[1] (analytic) = 2.0280585920123357119864567136466
y[1] (numeric) = 2.0280585920123357941771130044885
absolute error = 8.21906562908419e-17
relative error = 4.0526766146972332387657400203260e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.595
Order of pole = 2.189
x[1] = 0.239
y[1] (analytic) = 2.0282926704312150454537073016772
y[1] (numeric) = 2.0282926704312151280946915658574
absolute error = 8.26409842641802e-17
relative error = 4.0744112261969928520711798584118e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.595
Order of pole = 2.189
x[1] = 0.24
y[1] (analytic) = 2.0285276938357980228082248072569
y[1] (numeric) = 2.0285276938357981058971532451156
absolute error = 8.30889284378587e-17
relative error = 4.0960213996755248698352469402088e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.595
Order of pole = 2.189
x[1] = 0.241
y[1] (analytic) = 2.0287636617820017171793322217412
y[1] (numeric) = 2.0287636617820018007138167615765
absolute error = 8.35344845398353e-17
relative error = 4.1175069385095973007906118161121e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.595
Order of pole = 2.188
x[1] = 0.242
y[1] (analytic) = 2.0290005738241684155063222931272
y[1] (numeric) = 2.0290005738241684994839706505927
absolute error = 8.39776483574655e-17
relative error = 4.1388676494648905194518861396141e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.595
Order of pole = 2.188
x[1] = 0.243
y[1] (analytic) = 2.0292384295150688860175416360198
y[1] (numeric) = 2.0292384295150689704359573735408
absolute error = 8.44184157375210e-17
relative error = 4.1601033426956454536767018029311e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.595
Order of pole = 2.188
x[1] = 0.244
y[1] (analytic) = 2.0294772284059056548356157919753
y[1] (numeric) = 2.0294772284059057396923983781819
absolute error = 8.48567825862066e-17
relative error = 4.1812138317442020894743123388881e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.596
Order of pole = 2.188
x[1] = 0.245
y[1] (analytic) = 2.0297169700463162916595340281868
y[1] (numeric) = 2.0297169700463163769522788973602
absolute error = 8.52927448691734e-17
relative error = 4.2021989335403298759347532239187e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=49.5MB, alloc=4.2MB, time=3.41
Complex estimate of poles used
Radius of convergence = 1.596
Order of pole = 2.188
x[1] = 0.246
y[1] (analytic) = 2.0299576539843767044742282077659
y[1] (numeric) = 2.0299576539843767902005268192968
absolute error = 8.57262986115309e-17
relative error = 4.2230584684004783138567056386876e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.596
Order of pole = 2.188
x[1] = 0.247
y[1] (analytic) = 2.0301992797666044432381968330078
y[1] (numeric) = 2.0301992797666045293956367308649
absolute error = 8.61574398978571e-17
relative error = 4.2437922600269034955575445283625e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.596
Order of pole = 2.188
x[1] = 0.248
y[1] (analytic) = 2.0304418469379620124996433542487
y[1] (numeric) = 2.0304418469379620990858082264546
absolute error = 8.65861648722059e-17
relative error = 4.2644001355066362569422949282159e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.596
Order of pole = 2.188
x[1] = 0.249
y[1] (analytic) = 2.0306853550418601928915170514485
y[1] (numeric) = 2.0306853550418602799039867895612
absolute error = 8.70124697381127e-17
relative error = 4.2848819253103364288009721514184e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.596
Order of pole = 2.187
x[1] = 0.25
y[1] (analytic) = 2.030929803620161371455765233623
y[1] (numeric) = 2.0309298036201614588921159922205
absolute error = 8.74363507585975e-17
relative error = 4.3052374632909988520773676497557e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.596
Order of pole = 2.187
x[1] = 0.251
y[1] (analytic) = 2.0311751922131828807470271628307
y[1] (numeric) = 2.0311751922131829686048314189976
absolute error = 8.78578042561669e-17
relative error = 4.3254665866825802451391878093308e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.597
Order of pole = 2.187
x[1] = 0.252
y[1] (analytic) = 2.0314215203597003466659229946705
y[1] (numeric) = 2.0314215203597004349427496074827
absolute error = 8.82768266128122e-17
relative error = 4.3455691360984091944072083621836e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.597
Order of pole = 2.187
x[1] = 0.253
y[1] (analytic) = 2.0316687875969510449720151361935
y[1] (numeric) = 2.031668787596951133665429406201
absolute error = 8.86934142700075e-17
relative error = 4.3655449555295714531860418711252e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.597
Order of pole = 2.187
x[1] = 0.254
y[1] (analytic) = 2.0319169934606372664264447547822
y[1] (numeric) = 2.0319169934606373555340084834859
absolute error = 8.91075637287037e-17
relative error = 4.3853938923430688318614116812979e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.597
Order of pole = 2.187
x[1] = 0.255
y[1] (analytic) = 2.0321661374849296905141727278297
y[1] (numeric) = 2.0321661374849297800334442771519
absolute error = 8.95192715493222e-17
relative error = 4.4051157972799389087280839656460e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.597
Order of pole = 2.187
x[1] = 0.256
y[1] (analytic) = 2.032416219202470767695682102888
y[1] (numeric) = 2.0324162192024708576242164546326
absolute error = 8.99285343517446e-17
relative error = 4.4247105244531535906242469395563e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.597
Order of pole = 2.187
memory used=53.4MB, alloc=4.2MB, time=3.93
x[1] = 0.257
y[1] (analytic) = 2.032667238144378110137928141185
y[1] (numeric) = 2.0326672381443782004732769564874
absolute error = 9.03353488153024e-17
relative error = 4.4441779313454935456364406084347e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.597
Order of pole = 2.186
x[1] = 0.258
y[1] (analytic) = 2.0329191938402478908742522438746
y[1] (numeric) = 2.0329191938402479816139639226374
absolute error = 9.07397116787628e-17
relative error = 4.4635178788072067340911411739348e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.598
Order of pole = 2.186
x[1] = 0.259
y[1] (analytic) = 2.0331720858181582513429075098384
y[1] (numeric) = 2.033172085818158342484527250152
absolute error = 9.11416197403136e-17
relative error = 4.4827302310535988265445813633678e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.598
Order of pole = 2.186
x[1] = 0.26
y[1] (analytic) = 2.0334259136046727172537763460481
y[1] (numeric) = 2.0334259136046728087948462035932
absolute error = 9.15410698575451e-17
relative error = 4.5018148556624523446078303130427e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.598
Order of pole = 2.186
x[1] = 0.261
y[1] (analytic) = 2.0336806767248436227327944461014
y[1] (numeric) = 2.0336806767248437146708533935324
absolute error = 9.19380589474310e-17
relative error = 4.5207716235713730697920586578523e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.598
Order of pole = 2.186
x[1] = 0.262
y[1] (analytic) = 2.0339363747022155426935305692189
y[1] (numeric) = 2.0339363747022156350261145555249
absolute error = 9.23325839863060e-17
relative error = 4.5396004090749507561192079258406e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.598
Order of pole = 2.186
x[1] = 0.263
y[1] (analytic) = 2.0341930070588287333853078903232
y[1] (numeric) = 2.0341930070588288261099499001661
absolute error = 9.27246420098429e-17
relative error = 4.5583010898218720110352393407502e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.598
Order of pole = 2.186
x[1] = 0.264
y[1] (analytic) = 2.0344505733152225810671902513959
y[1] (numeric) = 2.0344505733152226741814203644215
absolute error = 9.31142301130256e-17
relative error = 4.5768735468118084908400653103614e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.599
Order of pole = 2.185
x[1] = 0.265
y[1] (analytic) = 2.0347090729904390587570954246164
y[1] (numeric) = 2.0347090729904391522584408747386
absolute error = 9.35013454501222e-17
relative error = 4.5953176643922870845633350865254e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.599
Order of pole = 2.185
x[1] = 0.266
y[1] (analytic) = 2.0349685056020261910052374983308
y[1] (numeric) = 2.034968505602026284891222732985
absolute error = 9.38859852346542e-17
relative error = 4.6136333302553455978384124109472e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.599
Order of pole = 2.185
x[1] = 0.267
y[1] (analytic) = 2.0352288706660415266410417170907
y[1] (numeric) = 2.0352288706660416209091884564558
absolute error = 9.42681467393651e-17
relative error = 4.6318204354341363318299790233761e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.599
Order of pole = 2.185
x[1] = 0.268
y[1] (analytic) = 2.0354901676970556194426175462505
y[1] (numeric) = 2.0354901676970557140904448424369
absolute error = 9.46478272961864e-17
relative error = 4.6498788742993794088626048946838e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=57.2MB, alloc=4.2MB, time=4.43
Complex estimate of poles used
Radius of convergence = 1.599
Order of pole = 2.185
x[1] = 0.269
y[1] (analytic) = 2.0357523962081555166778193892535
y[1] (numeric) = 2.0357523962081556117028436854542
absolute error = 9.50250242962007e-17
relative error = 4.6678085445556513055701093596797e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.599
Order of pole = 2.185
x[1] = 0.27
y[1] (analytic) = 2.0360155557109482554658692610891
y[1] (numeric) = 2.0360155557109483508656044506937
absolute error = 9.53997351896046e-17
relative error = 4.6856093472376414181112817672595e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.6
Order of pole = 2.185
x[1] = 0.271
y[1] (analytic) = 2.0362796457155643669084618137303
y[1] (numeric) = 2.0362796457155644626804192993987
absolute error = 9.57719574856684e-17
relative error = 4.7032811867062294261857525738033e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.6
Order of pole = 2.185
x[1] = 0.272
y[1] (analytic) = 2.0365446657306613879392194178849
y[1] (numeric) = 2.0365446657306614840809081705785
absolute error = 9.61416887526936e-17
relative error = 4.7208239706444327875284787402345e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.6
Order of pole = 2.184
x[1] = 0.273
y[1] (analytic) = 2.0368106152634273808403135292965
y[1] (numeric) = 2.0368106152634274773492401472655
absolute error = 9.65089266179690e-17
relative error = 4.7382376100532638261925995908402e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.6
Order of pole = 2.184
x[1] = 0.274
y[1] (analytic) = 2.0370774938195844603750183062659
y[1] (numeric) = 2.0370774938195845572486870739908
absolute error = 9.68736687677249e-17
relative error = 4.7555220192474720214551716240783e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.6
Order of pole = 2.184
x[1] = 0.275
y[1] (analytic) = 2.0373453009033923284849133971182
y[1] (numeric) = 2.0373453009033924257208263442027
absolute error = 9.72359129470845e-17
relative error = 4.7726771158511274977317733792125e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.6
Order of pole = 2.184
x[1] = 0.276
y[1] (analytic) = 2.037614036017651816500404981079
y[1] (numeric) = 2.0376140360176519140960619410933
absolute error = 9.75956569600143e-17
relative error = 4.7897028207931342718311975106346e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.601
Order of pole = 2.184
x[1] = 0.277
y[1] (analytic) = 2.0378836986637084348131875224721
y[1] (numeric) = 2.0378836986637085327660861917439
absolute error = 9.79528986692718e-17
relative error = 4.8065990583025899754949837816909e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.601
Order of pole = 2.184
x[1] = 0.278
y[1] (analytic) = 2.0381542883414559299592232852749
y[1] (numeric) = 2.0381542883414560282668592816267
absolute error = 9.83076359963518e-17
relative error = 4.8233657559040560526418344238797e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.601
Order of pole = 2.184
x[1] = 0.279
y[1] (analytic) = 2.0384258045493398490607724518187
y[1] (numeric) = 2.0384258045493399477206393732487
absolute error = 9.86598669214300e-17
relative error = 4.8400028444126748152157084269616e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.601
Order of pole = 2.184
x[1] = 0.28
y[1] (analytic) = 2.0386982467843611115759636946822
y[1] (numeric) = 2.0386982467843612105855531779876
absolute error = 9.90095894833054e-17
relative error = 4.8565102579292071533525893495218e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=61.0MB, alloc=4.2MB, time=4.93
Complex estimate of poles used
Radius of convergence = 1.601
Order of pole = 2.184
x[1] = 0.281
y[1] (analytic) = 2.0389716145420795883043532634698
y[1] (numeric) = 2.0389716145420796876611550428104
absolute error = 9.93568017793406e-17
relative error = 4.8728879338349469121022796998588e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.601
Order of pole = 2.183
x[1] = 0.282
y[1] (analytic) = 2.0392459073166176875968800669937
y[1] (numeric) = 2.0392459073166177872983820323933
absolute error = 9.97015019653996e-17
relative error = 4.8891358127864925142686325390831e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.602
Order of pole = 2.183
x[1] = 0.283
y[1] (analytic) = 2.0395211246006639487185848551768
y[1] (numeric) = 2.0395211246006640487622731109611
absolute error = 1.000436882557843e-16
relative error = 4.9052538387104348813663936515650e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.602
Order of pole = 2.183
x[1] = 0.284
y[1] (analytic) = 2.0397972658854766423124234324962
y[1] (numeric) = 2.0397972658854767426957823556651
absolute error = 1.003833589231689e-16
relative error = 4.9212419587979225937027628283638e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.602
Order of pole = 2.183
x[1] = 0.285
y[1] (analytic) = 2.0400743306608873779124668646903
y[1] (numeric) = 2.0400743306608874786329791632226
absolute error = 1.007205122985323e-16
relative error = 4.9371001234991093902394023373145e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.602
Order of pole = 2.183
x[1] = 0.286
y[1] (analytic) = 2.0403523184153047184547458714138
y[1] (numeric) = 2.0403523184153048195098926425022
absolute error = 1.010551467710884e-16
relative error = 4.9528282865174793027647869395952e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.602
Order of pole = 2.183
x[1] = 0.287
y[1] (analytic) = 2.0406312286357178017339620281627
y[1] (numeric) = 2.0406312286357179031212228163781
absolute error = 1.013872607882154e-16
relative error = 4.9684264048041035309790736705625e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.602
Order of pole = 2.183
x[1] = 0.288
y[1] (analytic) = 2.0409110608076999687542550296903
y[1] (numeric) = 2.040911060807700070471107885072
absolute error = 1.017168528553817e-16
relative error = 4.9838944385517116153544080035560e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.603
Order of pole = 2.183
x[1] = 0.289
y[1] (analytic) = 2.0411918144154123989221830928168
y[1] (numeric) = 2.041191814415412500966104628888
absolute error = 1.020439215360712e-16
relative error = 4.9992323511887143479516768583569e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.603
Order of pole = 2.183
x[1] = 0.29
y[1] (analytic) = 2.041473488941607752030042597527
y[1] (numeric) = 2.0414734889416078543985080492334
absolute error = 1.023684654517064e-16
relative error = 5.0144401093731001815115975695624e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.603
Order of pole = 2.183
x[1] = 0.291
y[1] (analytic) = 2.0417560838676338169776232799892
y[1] (numeric) = 2.0417560838676339196681065615587
absolute error = 1.026904832815695e-16
relative error = 5.0295176829862151438753511015340e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.603
Order of pole = 2.183
x[1] = 0.292
y[1] (analytic) = 2.0420395986734371671804666980536
y[1] (numeric) = 2.0420395986734372701904404607746
absolute error = 1.030099737627210e-16
relative error = 5.0444650451264019759078103569178e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=64.8MB, alloc=4.2MB, time=5.51
Complex estimate of poles used
Radius of convergence = 1.603
Order of pole = 2.183
x[1] = 0.293
y[1] (analytic) = 2.0423240328375668226126682872737
y[1] (numeric) = 2.0423240328375669259396039771915
absolute error = 1.033269356899178e-16
relative error = 5.0592821721025966492721118424879e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.603
Order of pole = 2.182
x[1] = 0.294
y[1] (analytic) = 2.0426093858371779184322371118993
y[1] (numeric) = 2.0426093858371780220736050274282
absolute error = 1.036413679155289e-16
relative error = 5.0739690434277893803143932867263e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.604
Order of pole = 2.182
x[1] = 0.295
y[1] (analytic) = 2.0428956571480353801370023889072
y[1] (numeric) = 2.0428956571480354840902717383555
absolute error = 1.039532693494483e-16
relative error = 5.0885256418123307862499545929711e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.604
Order of pole = 2.182
x[1] = 0.296
y[1] (analytic) = 2.0431828462445176051990320222459
y[1] (numeric) = 2.0431828462445177094616709812535
absolute error = 1.042626389590076e-16
relative error = 5.1029519531572057888001067357091e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.604
Order of pole = 2.182
x[1] = 0.297
y[1] (analytic) = 2.043470952599620151125505727308
y[1] (numeric) = 2.0434709525996202556949814961937
absolute error = 1.045694757688857e-16
relative error = 5.1172479665471481588020695018633e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.604
Order of pole = 2.182
x[1] = 0.298
y[1] (analytic) = 2.0437599756849594298939638503908
y[1] (numeric) = 2.0437599756849595347677427114081
absolute error = 1.048737788610173e-16
relative error = 5.1314136742436791361177132387529e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.604
Order of pole = 2.182
x[1] = 0.299
y[1] (analytic) = 2.0440499149707764087098326927363
y[1] (numeric) = 2.0440499149707765138853800672357
absolute error = 1.051755473744994e-16
relative error = 5.1454490716780311603472215442971e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.605
Order of pole = 2.182
x[1] = 0.3
y[1] (analytic) = 2.0443407699259403170341080317621
y[1] (numeric) = 2.0443407699259404225088885372575
absolute error = 1.054747805054954e-16
relative error = 5.1593541574439373594300791035133e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.605
Order of pole = 2.182
x[1] = 0.301
y[1] (analytic) = 2.0446325400179523598290605913928
y[1] (numeric) = 2.0446325400179524656005380985315
absolute error = 1.057714775071387e-16
relative error = 5.1731289332903799564627132046868e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.605
Order of pole = 2.182
x[1] = 0.302
y[1] (analytic) = 2.0449252247129494369698104470299
y[1] (numeric) = 2.0449252247129495430354481364633
absolute error = 1.060656376894334e-16
relative error = 5.1867734041141803734955581874261e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.605
Order of pole = 2.182
x[1] = 0.303
y[1] (analytic) = 2.0452188234757078687696017566519
y[1] (numeric) = 2.0452188234757079751268621758057
absolute error = 1.063572604191538e-16
relative error = 5.2002875779525144138100743012181e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.605
Order of pole = 2.182
x[1] = 0.304
y[1] (analytic) = 2.0455133357696471275665947858035
y[1] (numeric) = 2.0455133357696472342129399055452
absolute error = 1.066463451197417e-16
relative error = 5.2136714659753038139622737287693e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=68.6MB, alloc=4.2MB, time=6.08
Complex estimate of poles used
Radius of convergence = 1.606
Order of pole = 2.182
x[1] = 0.305
y[1] (analytic) = 2.0458087610568335753199789387372
y[1] (numeric) = 2.0458087610568336822528702099399
absolute error = 1.069328912712027e-16
relative error = 5.2269250824775430510697306718794e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.606
Order of pole = 2.182
x[1] = 0.306
y[1] (analytic) = 2.046105098797984207163198418622
y[1] (numeric) = 2.0461050987979843143800968286218
absolute error = 1.072168984099998e-16
relative error = 5.2400484448714784914838633569301e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.606
Order of pole = 2.182
x[1] = 0.307
y[1] (analytic) = 2.0464023484524704008620712143871
y[1] (numeric) = 2.0464023484524705083604373433332
absolute error = 1.074983661289461e-16
relative error = 5.2530415736787280960510608729234e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.606
Order of pole = 2.182
x[1] = 0.308
y[1] (analytic) = 2.0467005094783216721255723482636
y[1] (numeric) = 2.0467005094783217799028664253587
absolute error = 1.077772940770951e-16
relative error = 5.2659044925222685611220439735344e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.606
Order of pole = 2.182
x[1] = 0.309
y[1] (analytic) = 2.0469995813322294357170437142013
y[1] (numeric) = 2.0469995813322295437707256738314
absolute error = 1.080536819596301e-16
relative error = 5.2786372281183634166788118971192e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.606
Order of pole = 2.182
x[1] = 0.31
y[1] (analytic) = 2.0472995634695507723135853908446
y[1] (numeric) = 2.0472995634695508806411149285955
absolute error = 1.083275295377509e-16
relative error = 5.2912398102683443305126665962613e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.607
Order of pole = 2.182
x[1] = 0.311
y[1] (analytic) = 2.0476004553443122010613770213588
y[1] (numeric) = 2.0476004553443123096602136499185
absolute error = 1.085988366285597e-16
relative error = 5.3037122718503386706284813207517e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.607
Order of pole = 2.182
x[1] = 0.312
y[1] (analytic) = 2.0479022564092134577746727138024
y[1] (numeric) = 2.047902256409213566642275818747
absolute error = 1.088676031049446e-16
relative error = 5.3160546488108653636059973967239e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.607
Order of pole = 2.182
x[1] = 0.313
y[1] (analytic) = 2.0482049661156312787262089275868
y[1] (numeric) = 2.048204966115631387860037823049
absolute error = 1.091338288954622e-16
relative error = 5.3282669801563725315613178504401e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.607
Order of pole = 2.182
x[1] = 0.314
y[1] (analytic) = 2.0485085839136231899767619714788
y[1] (numeric) = 2.0485085839136232993742759556965
absolute error = 1.093975139842177e-16
relative error = 5.3403493079446389752741523102239e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.607
Order of pole = 2.182
x[1] = 0.315
y[1] (analytic) = 2.0488131092519313021915900441503
y[1] (numeric) = 2.0488131092519314118502484548938
absolute error = 1.096586584107435e-16
relative error = 5.3523016772760885671986411910171e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.608
Order of pole = 2.182
memory used=72.4MB, alloc=4.3MB, time=6.59
x[1] = 0.316
y[1] (analytic) = 2.049118541577986110891494197031
y[1] (numeric) = 2.0491185415779862208087564669085
absolute error = 1.099172622698775e-16
relative error = 5.3641241362850763215701113243651e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.608
Order of pole = 2.182
x[1] = 0.317
y[1] (analytic) = 2.0494248803379103020862331886762
y[1] (numeric) = 2.0494248803379104122595589003135
absolute error = 1.101733257116373e-16
relative error = 5.3758167361309608687554134125634e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.608
Order of pole = 2.182
x[1] = 0.318
y[1] (analytic) = 2.0497321249765225632380289274978
y[1] (numeric) = 2.0497321249765226736648778685927
absolute error = 1.104268489410949e-16
relative error = 5.3873795309891880931765832763897e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.608
Order of pole = 2.182
x[1] = 0.319
y[1] (analytic) = 2.0500402749373413995029020629885
y[1] (numeric) = 2.0500402749373415101807342812374
absolute error = 1.106778322182489e-16
relative error = 5.3988125780422397020889046072297e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.608
Order of pole = 2.182
x[1] = 0.32
y[1] (analytic) = 2.0503493296625889551975812818911
y[1] (numeric) = 2.0503493296625890661238571397861
absolute error = 1.109262758578950e-16
relative error = 5.4101159374704860029701054389669e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.609
Order of pole = 2.182
x[1] = 0.321
y[1] (analytic) = 2.0506592885931948404397349925102
y[1] (numeric) = 2.0506592885931949516119152220057
absolute error = 1.111721802294955e-16
relative error = 5.4212896724429772449735223546004e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.609
Order of pole = 2.182
x[1] = 0.322
y[1] (analytic) = 2.0509701511687999629092803348932
y[1] (numeric) = 2.0509701511688000743248260919394
absolute error = 1.114155457570462e-16
relative error = 5.4323338491080956973711341793305e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.609
Order of pole = 2.182
x[1] = 0.323
y[1] (analytic) = 2.0512819168277603646785318342095
y[1] (numeric) = 2.0512819168277604763349047531521
absolute error = 1.116563729189426e-16
relative error = 5.4432485365841613583070313889641e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.609
Order of pole = 2.182
x[1] = 0.324
y[1] (analytic) = 2.0515945850071510640589605166386
y[1] (numeric) = 2.0515945850071511759536227644833
absolute error = 1.118946622478447e-16
relative error = 5.4540338069499573449433551508457e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.609
Order of pole = 2.182
x[1] = 0.325
y[1] (analytic) = 2.0519081551427699024123439286703
y[1] (numeric) = 2.0519081551427700145427582592095
absolute error = 1.121304143305392e-16
relative error = 5.4646897352351166905844013319083e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.61
Order of pole = 2.182
x[1] = 0.326
y[1] (analytic) = 2.0522226266691413958740982391428
y[1] (numeric) = 2.0522226266691415082377280469438
absolute error = 1.123636298078010e-16
relative error = 5.4752163994104634025147563730224e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.61
Order of pole = 2.182
x[1] = 0.327
y[1] (analytic) = 2.0525379990195205919365954557878
y[1] (numeric) = 2.0525379990195207045309048300408
absolute error = 1.125943093742530e-16
relative error = 5.4856138803782592333480165906761e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=76.2MB, alloc=4.3MB, time=7.11
Complex estimate of poles used
Radius of convergence = 1.61
Order of pole = 2.182
x[1] = 0.328
y[1] (analytic) = 2.0528542716258969308402817516616
y[1] (numeric) = 2.0528542716258970436627355298856
absolute error = 1.128224537782240e-16
relative error = 5.4958822619623466491929187128679e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.61
Order of pole = 2.182
x[1] = 0.329
y[1] (analytic) = 2.0531714439189981117204269687371
y[1] (numeric) = 2.0531714439189982247684907903429
absolute error = 1.130480638216058e-16
relative error = 5.5060216308982418075219109076208e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.611
Order of pole = 2.182
x[1] = 0.33
y[1] (analytic) = 2.0534895153282939634573505432106
y[1] (numeric) = 2.0534895153282940767284909029184
absolute error = 1.132711403597078e-16
relative error = 5.5160320768230949389297784877520e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.611
Order of pole = 2.183
x[1] = 0.331
y[1] (analytic) = 2.0538084852820003201779853767849
y[1] (numeric) = 2.0538084852820004336696696778965
absolute error = 1.134916843011116e-16
relative error = 5.5259136922656401283224692336440e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.611
Order of pole = 2.183
x[1] = 0.332
y[1] (analytic) = 2.0541283532070829013566585573687
y[1] (numeric) = 2.0541283532070830150663551648906
absolute error = 1.137096966075219e-16
relative error = 5.5356665726359545095064838284703e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.611
Order of pole = 2.183
x[1] = 0.333
y[1] (analytic) = 2.0544491185292611964629863082566
y[1] (numeric) = 2.0544491185292613103881646018749
absolute error = 1.139251782936183e-16
relative error = 5.5452908162152511133034088017380e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.611
Order of pole = 2.183
x[1] = 0.334
y[1] (analytic) = 2.0547707806730123541048001139164
y[1] (numeric) = 2.0547707806730124682429305408205
absolute error = 1.141381304269041e-16
relative error = 5.5547865241455156593355909056946e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.612
Order of pole = 2.183
x[1] = 0.335
y[1] (analytic) = 2.0550933390615750756140416299163
y[1] (numeric) = 2.0550933390615751899625957574705
absolute error = 1.143485541275542e-16
relative error = 5.5641538004190897769296100311284e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.612
Order of pole = 2.183
x[1] = 0.336
y[1] (analytic) = 2.0554167931169535130235857312045
y[1] (numeric) = 2.0554167931169536275800362994656
absolute error = 1.145564505682611e-16
relative error = 5.5733927518681521924341063535008e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.612
Order of pole = 2.183
x[1] = 0.337
y[1] (analytic) = 2.0557411422599211713829738837629
y[1] (numeric) = 2.0557411422599212861447948578431
absolute error = 1.147618209740802e-16
relative error = 5.5825034881541564993932655224264e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.612
Order of pole = 2.183
x[1] = 0.338
y[1] (analytic) = 2.0560663859100248153610639364544
y[1] (numeric) = 2.0560663859100249303257305587277
absolute error = 1.149646666222733e-16
relative error = 5.5914861217571721909426469769664e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.612
Order of pole = 2.183
x[1] = 0.339
y[1] (analytic) = 2.0563925234855883800836274194743
y[1] (numeric) = 2.0563925234855884952486162616249
absolute error = 1.151649888421506e-16
relative error = 5.6003407679651437823125696551067e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=80.1MB, alloc=4.3MB, time=7.61
Complex estimate of poles used
Radius of convergence = 1.613
Order of pole = 2.183
x[1] = 0.34
y[1] (analytic) = 2.056719554403716886153951499994
y[1] (numeric) = 2.0567195544037170015167405149051
absolute error = 1.153627890149111e-16
relative error = 5.6090675448630633851408865399599e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.613
Order of pole = 2.183
x[1] = 0.341
y[1] (analytic) = 2.0570474780803003588045298811016
y[1] (numeric) = 2.0570474780803004743625984545839
absolute error = 1.155580685734823e-16
relative error = 5.6176665733221007155178658656748e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.613
Order of pole = 2.184
x[1] = 0.342
y[1] (analytic) = 2.057376293930017751127955133732
y[1] (numeric) = 2.0573762939300178668787841360897
absolute error = 1.157508290023577e-16
relative error = 5.6261379769886178090151944194785e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.613
Order of pole = 2.184
x[1] = 0.343
y[1] (analytic) = 2.0577060013663408713351542196332
y[1] (numeric) = 2.0577060013663409872762260570669
absolute error = 1.159410718374337e-16
relative error = 5.6344818822731464628342286136940e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.614
Order of pole = 2.184
x[1] = 0.344
y[1] (analytic) = 2.0580365998015383139891392932115
y[1] (numeric) = 2.0580365998015384301179379590565
absolute error = 1.161287986658450e-16
relative error = 5.6426984183392848512773929698997e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.614
Order of pole = 2.184
x[1] = 0.345
y[1] (analytic) = 2.0583680886466793951624772579756
y[1] (numeric) = 2.0583680886466795114764883837731
absolute error = 1.163140111257975e-16
relative error = 5.6507877170924649590268468578990e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.614
Order of pole = 2.184
x[1] = 0.346
y[1] (analytic) = 2.0587004673116380914667139958729
y[1] (numeric) = 2.0587004673116382079634249022743
absolute error = 1.164967109064014e-16
relative error = 5.6587499131687222651087424311406e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.614
Order of pole = 2.184
x[1] = 0.347
y[1] (analytic) = 2.0590337352050969829020226816737
y[1] (numeric) = 2.0590337352050970995789224291765
absolute error = 1.166768997475028e-16
relative error = 5.6665851439233852492581379288085e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.614
Order of pole = 2.184
x[1] = 0.348
y[1] (analytic) = 2.0593678917345511994753801362623
y[1] (numeric) = 2.0593678917345513163299595757751
absolute error = 1.168545794395128e-16
relative error = 5.6742935494196363903094349520665e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.615
Order of pole = 2.184
x[1] = 0.349
y[1] (analytic) = 2.0597029363063123715356107587728
y[1] (numeric) = 2.0597029363063124885653625820093
absolute error = 1.170297518232365e-16
relative error = 5.6818752724170614623702150593511e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.615
Order of pole = 2.184
x[1] = 0.35
y[1] (analytic) = 2.0600388683255125837736742044737
y[1] (numeric) = 2.0600388683255127009760929941735
absolute error = 1.172024187896998e-16
relative error = 5.6893304583600853411455858318026e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.615
Order of pole = 2.185
x[1] = 0.351
y[1] (analytic) = 2.0603756871961083328366106396241
y[1] (numeric) = 2.0603756871961084502091929196001
absolute error = 1.173725822799760e-16
relative error = 5.6966592553663916587906471154080e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=83.9MB, alloc=4.3MB, time=8.10
Complex estimate of poles used
Radius of convergence = 1.615
Order of pole = 2.185
x[1] = 0.352
y[1] (analytic) = 2.060713392320884488503596102665
y[1] (numeric) = 2.0607133923208846060438403876753
absolute error = 1.175402442850103e-16
relative error = 5.7038618142152342644892904405703e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.616
Order of pole = 2.185
x[1] = 0.353
y[1] (analytic) = 2.0610519831014582583726002294783
y[1] (numeric) = 2.0610519831014583760780070749212
absolute error = 1.177054068454429e-16
relative error = 5.7109382883356747182014495590072e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.616
Order of pole = 2.185
x[1] = 0.354
y[1] (analytic) = 2.0613914589382831560061793554566
y[1] (numeric) = 2.0613914589382832738742514068883
absolute error = 1.178680720514317e-16
relative error = 5.7178888337947945544142872069412e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.616
Order of pole = 2.185
x[1] = 0.355
y[1] (analytic) = 2.0617318192306529724849797851508
y[1] (numeric) = 2.0617318192306530905132218276237
absolute error = 1.180282420424729e-16
relative error = 5.7247136092858000312954441768271e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.616
Order of pole = 2.185
x[1] = 0.356
y[1] (analytic) = 2.0620730633767057513175688176367
y[1] (numeric) = 2.0620730633767058695034878248579
absolute error = 1.181859190072212e-16
relative error = 5.7314127761161020724036638690738e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.616
Order of pole = 2.185
x[1] = 0.357
y[1] (analytic) = 2.0624151907734277666552549288036
y[1] (numeric) = 2.0624151907734278849963601121113
absolute error = 1.183411051833077e-16
relative error = 5.7379864981952794469104051019327e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.617
Order of pole = 2.185
x[1] = 0.358
y[1] (analytic) = 2.0627582008166575047606033368027
y[1] (numeric) = 2.0627582008166576232544061939604
absolute error = 1.184938028571577e-16
relative error = 5.7444349420230321198034018207179e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.617
Order of pole = 2.185
x[1] = 0.359
y[1] (analytic) = 2.0631020929010896486783990101782
y[1] (numeric) = 2.063102092901089767322413373985
absolute error = 1.186440143638068e-16
relative error = 5.7507582766770473735890545787792e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.617
Order of pole = 2.186
x[1] = 0.36
y[1] (analytic) = 2.0634468664202790660578560159874
y[1] (numeric) = 2.0634468664202791848495981027034
absolute error = 1.187917420867160e-16
relative error = 5.7569566738008128704582079214076e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.617
Order of pole = 2.186
x[1] = 0.361
y[1] (analytic) = 2.0637925207666448000749199437145
y[1] (numeric) = 2.0637925207666449190119084012994
absolute error = 1.189369884575849e-16
relative error = 5.7630303075913332518575742929462e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.618
Order of pole = 2.186
x[1] = 0.362
y[1] (analytic) = 2.0641390553314740634035589762023
y[1] (numeric) = 2.0641390553314741824833149323673
absolute error = 1.190797559561650e-16
relative error = 5.7689793547868474256341037947727e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.618
Order of pole = 2.186
x[1] = 0.363
y[1] (analytic) = 2.0644864695049262351849890073371
y[1] (numeric) = 2.0644864695049263544050361174079
absolute error = 1.192200471100708e-16
relative error = 5.7748039946544352769249855572842e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=87.7MB, alloc=4.3MB, time=8.60
Complex estimate of poles used
Radius of convergence = 1.618
Order of pole = 2.186
x[1] = 0.364
y[1] (analytic) = 2.0648347626760368609438290239724
y[1] (numeric) = 2.0648347626760369803016935185628
absolute error = 1.193578644945904e-16
relative error = 5.7805044089775964090839061914544e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.618
Order of pole = 2.186
x[1] = 0.365
y[1] (analytic) = 2.0651839342327216554002347727007
y[1] (numeric) = 2.0651839342327217748934455051954
absolute error = 1.194932107324947e-16
relative error = 5.7860807820437575136216858359417e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.619
Order of pole = 2.186
x[1] = 0.366
y[1] (analytic) = 2.0655339835617805081271115166765
y[1] (numeric) = 2.0655339835617806277532000105218
absolute error = 1.196260884938453e-16
relative error = 5.7915333006317134408221589257574e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.619
Order of pole = 2.187
x[1] = 0.367
y[1] (analytic) = 2.0658849100489014920015604498395
y[1] (numeric) = 2.0658849100489016117580609456414
absolute error = 1.197565004958019e-16
relative error = 5.7968621539990409203105449953695e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.619
Order of pole = 2.187
x[1] = 0.368
y[1] (analytic) = 2.0662367130786648743997680716494
y[1] (numeric) = 2.0662367130786649942842175740774
absolute error = 1.198844495024280e-16
relative error = 5.8020675338694270341276185814793e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.619
Order of pole = 2.187
x[1] = 0.369
y[1] (analytic) = 2.0665893920345471310846035308431
y[1] (numeric) = 2.0665893920345472510945418553389
absolute error = 1.200099383244958e-16
relative error = 5.8071496344199562408049882700300e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.619
Order of pole = 2.187
x[1] = 0.37
y[1] (analytic) = 2.0669429462989249627352456177903
y[1] (numeric) = 2.0669429462989250828682154370803
absolute error = 1.201329698192900e-16
relative error = 5.8121086522683416331257976323520e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.62
Order of pole = 2.187
x[1] = 0.371
y[1] (analytic) = 2.0672973752530793140682187177322
y[1] (numeric) = 2.067297375253079434321765608143
absolute error = 1.202535468904108e-16
relative error = 5.8169447864601151556485544580136e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.62
Order of pole = 2.187
x[1] = 0.372
y[1] (analytic) = 2.0676526782771993954992756275171
y[1] (numeric) = 2.0676526782771995158709481150922
absolute error = 1.203716724875751e-16
relative error = 5.8216582384557286151212550135121e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.62
Order of pole = 2.187
x[1] = 0.373
y[1] (analytic) = 2.0680088547503867072956246823341
y[1] (numeric) = 2.0680088547503868277829742887519
absolute error = 1.204873496064178e-16
relative error = 5.8262492121176576151328718310678e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.62
Order of pole = 2.187
x[1] = 0.374
y[1] (analytic) = 2.0683659040506590661680591323291
y[1] (numeric) = 2.0683659040506591867686404206201
absolute error = 1.206005812882910e-16
relative error = 5.8307179136974021959137437051355e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.621
Order of pole = 2.188
memory used=91.5MB, alloc=4.3MB, time=9.09
x[1] = 0.375
y[1] (analytic) = 2.0687238255549546342526081477558
y[1] (numeric) = 2.0687238255549547549639787678188
absolute error = 1.207113706200630e-16
relative error = 5.8350645518224762968556224682303e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.621
Order of pole = 2.188
x[1] = 0.376
y[1] (analytic) = 2.0690826186391359504313912113646
y[1] (numeric) = 2.0690826186391360712511119452801
absolute error = 1.208197207339155e-16
relative error = 5.8392893374833088755104107070034e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.621
Order of pole = 2.188
x[1] = 0.377
y[1] (analytic) = 2.0694422826779939639424209739144
y[1] (numeric) = 2.0694422826779940848680557810551
absolute error = 1.209256348071407e-16
relative error = 5.8433924840201390873523459266985e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.621
Order of pole = 2.188
x[1] = 0.378
y[1] (analytic) = 2.0698028170452520702281638988609
y[1] (numeric) = 2.069802817045252191257279960798
absolute error = 1.210291160619371e-16
relative error = 5.8473742071098477066810905672350e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.622
Order of pole = 2.188
x[1] = 0.379
y[1] (analytic) = 2.0701642211135701489727332012382
y[1] (numeric) = 2.0701642211135702701029009664419
absolute error = 1.211301677652037e-16
relative error = 5.8512347247527105245219118861991e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.622
Order of pole = 2.188
x[1] = 0.38
y[1] (analytic) = 2.0705264942545486042776546893196
y[1] (numeric) = 2.070526494254548725506447917654
absolute error = 1.212287932283344e-16
relative error = 5.8549742572591609034166179896515e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.622
Order of pole = 2.188
x[1] = 0.381
y[1] (analytic) = 2.0708896358387324069262131415983
y[1] (numeric) = 2.0708896358387325282512089486087
absolute error = 1.213249958070104e-16
relative error = 5.8585930272364553937539208281288e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.622
Order of pole = 2.188
x[1] = 0.382
y[1] (analytic) = 2.0712536452356151386864547917243
y[1] (numeric) = 2.071253645235615260105233692717
absolute error = 1.214187789009927e-16
relative error = 5.8620912595753440689213613193873e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.623
Order of pole = 2.189
x[1] = 0.383
y[1] (analytic) = 2.0716185218136430386029903460275
y[1] (numeric) = 2.0716185218136431601131362999398
absolute error = 1.215101459539123e-16
relative error = 5.8654691814366298728334771315062e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.623
Order of pole = 2.189
x[1] = 0.384
y[1] (analytic) = 2.0719842649402190512278127178518
y[1] (numeric) = 2.0719842649402191728269131709131
absolute error = 1.215991004530613e-16
relative error = 5.8687270222377717088861905247800e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.623
Order of pole = 2.189
x[1] = 0.385
y[1] (analytic) = 2.0723508739817068767404143258526
y[1] (numeric) = 2.0723508739817069984260602550339
absolute error = 1.216856459291813e-16
relative error = 5.8718650136393576517767586712408e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.623
Order of pole = 2.189
x[1] = 0.386
y[1] (analytic) = 2.072718348303435022907560365326
y[1] (numeric) = 2.0727183483034351446773463215785
absolute error = 1.217697859562525e-16
relative error = 5.8748833895316126299462995040201e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=95.3MB, alloc=4.3MB, time=9.57
Complex estimate of poles used
Radius of convergence = 1.624
Order of pole = 2.189
x[1] = 0.387
y[1] (analytic) = 2.0730866872697008588331469182412
y[1] (numeric) = 2.0730866872697009806846710695216
absolute error = 1.218515241512804e-16
relative error = 5.8777823860207911520179711324615e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.624
Order of pole = 2.189
x[1] = 0.388
y[1] (analytic) = 2.0734558902437746704486461145599
y[1] (numeric) = 2.0734558902437747923795102886431
absolute error = 1.219308641740832e-16
relative error = 5.8805622414156048805774976897859e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.624
Order of pole = 2.189
x[1] = 0.389
y[1] (analytic) = 2.0738259565879037176947147903058
y[1] (numeric) = 2.0738259565879038397025245173831
absolute error = 1.220078097270773e-16
relative error = 5.8832231962135597896423790853488e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.624
Order of pole = 2.189
x[1] = 0.39
y[1] (analytic) = 2.074196885663316293344618202284
y[1] (numeric) = 2.074196885663316415426982757346
absolute error = 1.220823645550620e-16
relative error = 5.8857654930872562030820435672081e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.625
Order of pole = 2.189
x[1] = 0.391
y[1] (analytic) = 2.0745686768302257834201963509601
y[1] (numeric) = 2.0745686768302259055747287959641
absolute error = 1.221545324450040e-16
relative error = 5.8881893768706808343138509937984e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.625
Order of pole = 2.189
x[1] = 0.392
y[1] (analytic) = 2.0749413294478347291511773273631
y[1] (numeric) = 2.0749413294478348513754945531839
absolute error = 1.222243172258208e-16
relative error = 5.8904950945454476148071851259561e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.625
Order of pole = 2.19
x[1] = 0.393
y[1] (analytic) = 2.075314842874338890428719832537
y[1] (numeric) = 2.0753148428743390127204426006997
absolute error = 1.222917227681627e-16
relative error = 5.8926828952269730723291150836594e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.625
Order of pole = 2.19
x[1] = 0.394
y[1] (analytic) = 2.0756892164669313107041456145848
y[1] (numeric) = 2.0756892164669314330608985987803
absolute error = 1.223567529841955e-16
relative error = 5.8947530301506876650625261117657e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.626
Order of pole = 2.19
x[1] = 0.395
y[1] (analytic) = 2.0760644495818063832839020242527
y[1] (numeric) = 2.0760644495818065057033138516333
absolute error = 1.224194118273806e-16
relative error = 5.8967057526581242241370308297148e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.626
Order of pole = 2.19
x[1] = 0.396
y[1] (analytic) = 2.0764405415741639189718752008026
y[1] (numeric) = 2.0764405415741640414515784930581
absolute error = 1.224797032922555e-16
relative error = 5.8985413181830282904953654570226e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.626
Order of pole = 2.19
x[1] = 0.397
y[1] (analytic) = 2.076817491798213215010255561121
y[1] (numeric) = 2.0768174917982133375478869753349
absolute error = 1.225376314142139e-16
relative error = 5.9002599842374519507479743573131e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.626
Order of pole = 2.19
x[1] = 0.398
y[1] (analytic) = 2.0771952996071771252702392720933
y[1] (numeric) = 2.0771952996071772478634395413767
absolute error = 1.225932002692834e-16
relative error = 5.9018620103977350618802205487424e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=99.1MB, alloc=4.3MB, time=10.05
Complex estimate of poles used
Radius of convergence = 1.627
Order of pole = 2.19
x[1] = 0.399
y[1] (analytic) = 2.0775739643532961316439322346924
y[1] (numeric) = 2.0775739643532962542903462085967
absolute error = 1.226464139739043e-16
relative error = 5.9033476582905426266579288757115e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.627
Order of pole = 2.19
x[1] = 0.4
y[1] (analytic) = 2.0779534853878324165889067934565
y[1] (numeric) = 2.0779534853878325392861834781628
absolute error = 1.226972766847063e-16
relative error = 5.9047171915788044034661966296383e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.627
Order of pole = 2.19
x[1] = 0.401
y[1] (analytic) = 2.0783338620610739367769459024844
y[1] (numeric) = 2.0783338620610740595227385007704
absolute error = 1.227457925982860e-16
relative error = 5.9059708759476965631597290351488e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.627
Order of pole = 2.19
x[1] = 0.402
y[1] (analytic) = 2.0787150937223384977985948241907
y[1] (numeric) = 2.0787150937223386205905607751726
absolute error = 1.227919659509819e-16
relative error = 5.9071089790905067401226456952171e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.628
Order of pole = 2.19
x[1] = 0.403
y[1] (analytic) = 2.079097179719977829875226605236
y[1] (numeric) = 2.0790971797199779527110276238862
absolute error = 1.228358010186502e-16
relative error = 5.9081317706945415027752601619636e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.628
Order of pole = 2.19
x[1] = 0.404
y[1] (analytic) = 2.0794801194013816645304145606807
y[1] (numeric) = 2.0794801194013817874077166771198
absolute error = 1.228773021164391e-16
relative error = 5.9090395224269657375417584222942e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.628
Order of pole = 2.19
x[1] = 0.405
y[1] (analytic) = 2.0798639121129818121724927978771
y[1] (numeric) = 2.0798639121129819350889663964399
absolute error = 1.229164735985628e-16
relative error = 5.9098325079206318829667828350691e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.628
Order of pole = 2.19
x[1] = 0.406
y[1] (analytic) = 2.0802485572002562405402744212822
y[1] (numeric) = 2.0802485572002563634935942793573
absolute error = 1.229533198580751e-16
relative error = 5.9105110027598943730046659124142e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.629
Order of pole = 2.19
x[1] = 0.407
y[1] (analytic) = 2.0806340540077331539639864735963
y[1] (numeric) = 2.0806340540077332769518318002374
absolute error = 1.229878453266411e-16
relative error = 5.9110752844663373681052452249961e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.629
Order of pole = 2.19
x[1] = 0.408
y[1] (analytic) = 2.0810204018789950733935708827393
y[1] (numeric) = 2.0810204018789951964136253570495
absolute error = 1.230200544743102e-16
relative error = 5.9115256324845698102342870913386e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.629
Order of pole = 2.191
x[1] = 0.409
y[1] (analytic) = 2.0814076001566829171465916935115
y[1] (numeric) = 2.0814076001566830401965435027987
absolute error = 1.230499518092872e-16
relative error = 5.9118623281679341252783005620305e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.629
Order of pole = 2.191
x[1] = 0.41
y[1] (analytic) = 2.0817956481825000823280806626384
y[1] (numeric) = 2.0817956481825002054056225403415
absolute error = 1.230775418777031e-16
relative error = 5.9120856547642056946383182134857e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=103.0MB, alloc=4.3MB, time=10.55
Complex estimate of poles used
Radius of convergence = 1.63
Order of pole = 2.191
x[1] = 0.411
y[1] (analytic) = 2.0821845452972165268747458815885
y[1] (numeric) = 2.0821845452972166499775751449736
absolute error = 1.231028292633851e-16
relative error = 5.9121958974012592477345836249912e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.63
Order of pole = 2.191
x[1] = 0.412
y[1] (analytic) = 2.0825742908406728521760614583575
y[1] (numeric) = 2.082574290840672975301880045984
absolute error = 1.231258185876265e-16
relative error = 5.9121933430727359837246042325080e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.63
Order of pole = 2.191
x[1] = 0.413
y[1] (analytic) = 2.0829648841517843862248504326093
y[1] (numeric) = 2.0829648841517845093713649415653
absolute error = 1.231465145089560e-16
relative error = 5.9120782806236875699831838961122e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.63
Order of pole = 2.191
x[1] = 0.414
y[1] (analytic) = 2.0833563245685452672500680134195
y[1] (numeric) = 2.083356324568545390414989736325
absolute error = 1.231649217229055e-16
relative error = 5.9118510007361540007228649628347e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.631
Order of pole = 2.191
x[1] = 0.415
y[1] (analytic) = 2.0837486114280325277845879106281
y[1] (numeric) = 2.0837486114280326509656328724073
absolute error = 1.231810449617792e-16
relative error = 5.9115117959148099285601275157580e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.631
Order of pole = 2.191
x[1] = 0.416
y[1] (analytic) = 2.0841417440664101791208909747258
y[1] (numeric) = 2.0841417440664103023157799691458
absolute error = 1.231948889944200e-16
relative error = 5.9110609604724876058240481422586e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.631
Order of pole = 2.191
x[1] = 0.417
y[1] (analytic) = 2.0845357218189332961076525614851
y[1] (numeric) = 2.0845357218189334193141111874623
absolute error = 1.232064586259772e-16
relative error = 5.9104987905157686399957008523824e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.631
Order of pole = 2.191
x[1] = 0.418
y[1] (analytic) = 2.0849305440199521022403229914443
y[1] (numeric) = 2.0849305440199522254560816891167
absolute error = 1.232157586976724e-16
relative error = 5.9098255839304959387303897740181e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.632
Order of pole = 2.191
x[1] = 0.419
y[1] (analytic) = 2.0853262100029160549988941760457
y[1] (numeric) = 2.0853262100029161782216882626118
absolute error = 1.232227940865661e-16
relative error = 5.9090416403673259876141551095788e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.632
Order of pole = 2.191
x[1] = 0.42
y[1] (analytic) = 2.085722719100377931386144926935
y[1] (numeric) = 2.0857227191003780546137146322575
absolute error = 1.232275697053225e-16
relative error = 5.9081472612272016966955691871419e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.632
Order of pole = 2.191
x[1] = 0.421
y[1] (analytic) = 2.0861200706439979136197576478186
y[1] (numeric) = 2.0861200706439980368498481497934
absolute error = 1.232300905019748e-16
relative error = 5.9071427496468563258553694578512e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.632
Order of pole = 2.191
x[1] = 0.422
y[1] (analytic) = 2.0865182639645476749318000245414
y[1] (numeric) = 2.0865182639645477981621614842318
absolute error = 1.232303614596904e-16
relative error = 5.9060284104843198434952757773456e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=106.8MB, alloc=4.3MB, time=11.03
Complex estimate of poles used
Radius of convergence = 1.633
Order of pole = 2.191
x[1] = 0.423
y[1] (analytic) = 2.0869172983919144654291669738481
y[1] (numeric) = 2.0869172983919145886575545703816
absolute error = 1.232283875965335e-16
relative error = 5.9048045503043080728749484036360e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.633
Order of pole = 2.191
x[1] = 0.424
y[1] (analytic) = 2.087317173255105197968680479781
y[1] (numeric) = 2.0873171732551053211928544450114
absolute error = 1.232241739652304e-16
relative error = 5.9034714773637488489463322334123e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.633
Order of pole = 2.191
x[1] = 0.425
y[1] (analytic) = 2.0877178878822505340006480340158
y[1] (numeric) = 2.0877178878822506572183736869472
absolute error = 1.232177256529314e-16
relative error = 5.9020295015971529684596380645071e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.633
Order of pole = 2.191
x[1] = 0.426
y[1] (analytic) = 2.0881194416006089693347841977531
y[1] (numeric) = 2.0881194416006090925438319787278
absolute error = 1.232090477809747e-16
relative error = 5.9004789346020888986623030319501e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.634
Order of pole = 2.191
x[1] = 0.427
y[1] (analytic) = 2.0885218337365709197825043132294
y[1] (numeric) = 2.0885218337365710429806498178774
absolute error = 1.231981455046480e-16
relative error = 5.8988200896245553689424738342375e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.634
Order of pole = 2.191
x[1] = 0.428
y[1] (analytic) = 2.0889250636156628066297046075865
y[1] (numeric) = 2.0889250636156629298147286205376
absolute error = 1.231850240129511e-16
relative error = 5.8970532815444101097653682733546e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.634
Order of pole = 2.191
x[1] = 0.429
y[1] (analytic) = 2.0893291305625511418942488458725
y[1] (numeric) = 2.0893291305625512650639373742295
absolute error = 1.231696885283570e-16
relative error = 5.8951788268607351582173628749980e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.635
Order of pole = 2.19
x[1] = 0.43
y[1] (analytic) = 2.0897340339010466133224882984357
y[1] (numeric) = 2.0897340339010467364746326050097
absolute error = 1.231521443065740e-16
relative error = 5.8931970436772585988470170009534e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.635
Order of pole = 2.19
x[1] = 0.431
y[1] (analytic) = 2.0901397729541081690792490860258
y[1] (numeric) = 2.0901397729541082922116457223316
absolute error = 1.231323966363058e-16
relative error = 5.8911082516876892825015353443101e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.635
Order of pole = 2.19
x[1] = 0.432
y[1] (analytic) = 2.0905463470438471020858289486077
y[1] (numeric) = 2.0905463470438472251962797876199
absolute error = 1.231104508390122e-16
relative error = 5.8889127721610891607295759090202e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.635
Order of pole = 2.19
x[1] = 0.433
y[1] (analytic) = 2.0909537554915311339606541463263
y[1] (numeric) = 2.0909537554915312570469664149965
absolute error = 1.230863122686702e-16
relative error = 5.8866109279272737695773327070619e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.636
Order of pole = 2.19
x[1] = 0.434
y[1] (analytic) = 2.091361997617588498517356538299
y[1] (numeric) = 2.0913619976175886215773428498318
memory used=110.6MB, alloc=4.3MB, time=11.53
absolute error = 1.230599863115328e-16
relative error = 5.8842030433621118713857616023615e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.636
Order of pole = 2.19
x[1] = 0.435
y[1] (analytic) = 2.0917710727416120247751408920202
y[1] (numeric) = 2.0917710727416121478066192779093
absolute error = 1.230314783858891e-16
relative error = 5.8816894443728966446190736431335e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.636
Order of pole = 2.19
x[1] = 0.436
y[1] (analytic) = 2.0921809801823632194364231482238
y[1] (numeric) = 2.0921809801823633424372170900476
absolute error = 1.230007939418238e-16
relative error = 5.8790704583836976588495613413578e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.636
Order of pole = 2.19
x[1] = 0.437
y[1] (analytic) = 2.0925917192577763487868316980956
y[1] (numeric) = 2.0925917192577764717547701590716
absolute error = 1.229679384609760e-16
relative error = 5.8763464143206890312222545180157e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.637
Order of pole = 2.19
x[1] = 0.438
y[1] (analytic) = 2.0930032892849625199727757168255
y[1] (numeric) = 2.0930032892849626429056931731234
absolute error = 1.229329174562979e-16
relative error = 5.8735176425974826126806264739543e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.637
Order of pole = 2.19
x[1] = 0.439
y[1] (analytic) = 2.0934156895802137616118972346747
y[1] (numeric) = 2.0934156895802138845076337064879
absolute error = 1.228957364718132e-16
relative error = 5.8705844751004567917144136325536e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.637
Order of pole = 2.19
x[1] = 0.44
y[1] (analytic) = 2.093828919459007103691836909046
y[1] (numeric) = 2.0938289194590072265482379914217
absolute error = 1.228564010823757e-16
relative error = 5.8675472451741049495064394068226e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.637
Order of pole = 2.19
x[1] = 0.441
y[1] (analytic) = 2.0942429782360086567128573835225
y[1] (numeric) = 2.0942429782360087795277742769491
absolute error = 1.228149168934266e-16
relative error = 5.8644062876063320622214805825695e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.638
Order of pole = 2.19
x[1] = 0.442
y[1] (analytic) = 2.0946578652250776900299826774962
y[1] (numeric) = 2.0946578652250778128012722182492
absolute error = 1.227712895407530e-16
relative error = 5.8611619386138190209717836113169e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.638
Order of pole = 2.19
x[1] = 0.443
y[1] (analytic) = 2.0950735797392707093504272378839
y[1] (numeric) = 2.0950735797392708320759519281286
absolute error = 1.227255246902447e-16
relative error = 5.8578145358273163029830257848430e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.638
Order of pole = 2.19
x[1] = 0.444
y[1] (analytic) = 2.0954901210908455333422040975193
y[1] (numeric) = 2.0954901210908456560198321351714
absolute error = 1.226776280376521e-16
relative error = 5.8543644182770008592381254289843e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.638
Order of pole = 2.189
x[1] = 0.445
y[1] (analytic) = 2.0959074885912653693099180181508
y[1] (numeric) = 2.0959074885912654919375233264936
absolute error = 1.226276053083428e-16
relative error = 5.8508119263777817685755450635642e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.639
memory used=114.4MB, alloc=4.3MB, time=12.02
Order of pole = 2.189
x[1] = 0.446
y[1] (analytic) = 2.096325681551202887893866544552
y[1] (numeric) = 2.0963256815512030104693288016108
absolute error = 1.225754622570588e-16
relative error = 5.8471574019146455107013735451246e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.639
Order of pole = 2.189
x[1] = 0.447
y[1] (analytic) = 2.0967446992805442967486895550888
y[1] (numeric) = 2.0967446992805444192698942227617
absolute error = 1.225212046676729e-16
relative error = 5.8434011880279741787887715174977e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.639
Order of pole = 2.189
x[1] = 0.448
y[1] (analytic) = 2.0971645410883934131579261581648
y[1] (numeric) = 2.0971645410883935356227645111104
absolute error = 1.224648383529456e-16
relative error = 5.8395436291988988036826082251148e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.64
Order of pole = 2.189
x[1] = 0.449
y[1] (analytic) = 2.0975852062830757355409566483006
y[1] (numeric) = 2.0975852062830758579473258025819
absolute error = 1.224063691542813e-16
relative error = 5.8355850712346306773334627640162e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.64
Order of pole = 2.189
x[1] = 0.45
y[1] (analytic) = 2.0980066941721425138089266951646
y[1] (numeric) = 2.0980066941721426361547296366489
absolute error = 1.223458029414843e-16
relative error = 5.8315258612537946835082908032342e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.64
Order of pole = 2.189
x[1] = 0.451
y[1] (analytic) = 2.0984290040623748185263709886697
y[1] (numeric) = 2.0984290040623749408095166011849
absolute error = 1.222831456125152e-16
relative error = 5.8273663476717933706073053205903e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.64
Order of pole = 2.189
x[1] = 0.452
y[1] (analytic) = 2.0988521352597876088353741982563
y[1] (numeric) = 2.0988521352597877310537772915033
absolute error = 1.222184030932470e-16
relative error = 5.8231068801861685161559127389918e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.641
Order of pole = 2.189
x[1] = 0.453
y[1] (analytic) = 2.099276087069633799099228319687
y[1] (numeric) = 2.0992760870696339212508096569074
absolute error = 1.221515813372204e-16
relative error = 5.8187478097619365127393853399217e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.641
Order of pole = 2.189
x[1] = 0.454
y[1] (analytic) = 2.0997008587964083242226672730538
y[1] (numeric) = 2.0997008587964084463053535984539
absolute error = 1.220826863254001e-16
relative error = 5.8142894886169834826181126042559e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.641
Order of pole = 2.188
x[1] = 0.455
y[1] (analytic) = 2.100126449743852203605881976238
y[1] (numeric) = 2.1001264497438523256176060421678
absolute error = 1.220117240659298e-16
relative error = 5.8097322702074106626548248582967e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.641
Order of pole = 2.188
x[1] = 0.456
y[1] (analytic) = 2.1005528592149566036896420437193
y[1] (numeric) = 2.1005528592149567256283426376078
absolute error = 1.219387005938885e-16
relative error = 5.8050765092129540499323660990865e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.642
Order of pole = 2.188
x[1] = 0.457
y[1] (analytic) = 2.1009800865119668990489737464034
y[1] (numeric) = 2.1009800865119670209125957174487
absolute error = 1.218636219710453e-16
relative error = 5.8003225615223450740949120766782e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=118.2MB, alloc=4.3MB, time=12.51
Complex estimate of poles used
Radius of convergence = 1.642
Order of pole = 2.188
x[1] = 0.458
y[1] (analytic) = 2.1014081309363867319929679089713
y[1] (numeric) = 2.1014081309363868537794621945866
absolute error = 1.217864942856153e-16
relative error = 5.7954707842187362490144618735839e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.642
Order of pole = 2.188
x[1] = 0.459
y[1] (analytic) = 2.1018369917889820706284160121446
y[1] (numeric) = 2.1018369917889821923357396641591
absolute error = 1.217073236520145e-16
relative error = 5.7905215355650919404964543653469e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.643
Order of pole = 2.188
x[1] = 0.46
y[1] (analytic) = 2.102266668369785265345097903154
y[1] (numeric) = 2.1022666683697853869712141137694
absolute error = 1.216261162106154e-16
relative error = 5.7854751749896253063119890945330e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.643
Order of pole = 2.188
x[1] = 0.461
y[1] (analytic) = 2.1026971599780991036806701935803
y[1] (numeric) = 2.1026971599780992252235483210828
absolute error = 1.215428781275025e-16
relative error = 5.7803320630712434372644613558390e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.643
Order of pole = 2.188
x[1] = 0.462
y[1] (analytic) = 2.103128465912500863523230634563
y[1] (numeric) = 2.1031284659125009849808462287897
absolute error = 1.214576155942267e-16
relative error = 5.7750925615249532798662844356779e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.643
Order of pole = 2.187
x[1] = 0.463
y[1] (analytic) = 2.1035605854708463646097605001047
y[1] (numeric) = 2.1035605854708464859800953276661
absolute error = 1.213703348275614e-16
relative error = 5.7697570331873616448475780433638e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.644
Order of pole = 2.187
x[1] = 0.464
y[1] (analytic) = 2.1039935179502740182787742748223
y[1] (numeric) = 2.1039935179502741395598163440795
absolute error = 1.212810420692572e-16
relative error = 5.7643258420021219673047427156876e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.644
Order of pole = 2.187
x[1] = 0.465
y[1] (analytic) = 2.1044272626472088754356337279472
y[1] (numeric) = 2.1044272626472089966253773137447
absolute error = 1.211897435857975e-16
relative error = 5.7587993530054373278128991504832e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.644
Order of pole = 2.187
x[1] = 0.466
y[1] (analytic) = 2.1048618188573666726891117556455
y[1] (numeric) = 2.1048618188573667937855574237988
absolute error = 1.210964456681533e-16
relative error = 5.7531779323115390270173222229697e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.644
Order of pole = 2.187
x[1] = 0.467
y[1] (analytic) = 2.1052971858757578766179201837624
y[1] (numeric) = 2.1052971858757579976190748153012
absolute error = 1.210011546315388e-16
relative error = 5.7474619470982168863095537144984e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.645
Order of pole = 2.187
x[1] = 0.468
y[1] (analytic) = 2.1057333629966917261260450378679
y[1] (numeric) = 2.1057333629966918470299218530345
absolute error = 1.209038768151666e-16
relative error = 5.7416517655923443506410628747757e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.645
Order of pole = 2.187
x[1] = 0.469
y[1] (analytic) = 2.1061703495137802728458626019544
y[1] (numeric) = 2.1061703495137803936504811839575
absolute error = 1.208046185820031e-16
relative error = 5.7357477570554270263373735594239e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=122.0MB, alloc=4.3MB, time=13.00
Complex estimate of poles used
Radius of convergence = 1.645
Order of pole = 2.187
x[1] = 0.47
y[1] (analytic) = 2.1066081447199424195481398962778
y[1] (numeric) = 2.1066081447199425402515262148014
absolute error = 1.207033863185236e-16
relative error = 5.7297502917691510222971286931487e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.646
Order of pole = 2.186
x[1] = 0.471
y[1] (analytic) = 2.107046747907407956518154003608
y[1] (numeric) = 2.107046747907408077118340438076
absolute error = 1.206001864344680e-16
relative error = 5.7236597410209739454797826888949e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.646
Order of pole = 2.186
x[1] = 0.472
y[1] (analytic) = 2.1074861583677215958572959565322
y[1] (numeric) = 2.1074861583677217163523213191289
absolute error = 1.204950253625967e-16
relative error = 5.7174764770897396449557181453360e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.646
Order of pole = 2.186
x[1] = 0.473
y[1] (analytic) = 2.1079263753917470036696566614064
y[1] (numeric) = 2.1079263753917471240575662198517
absolute error = 1.203879095584453e-16
relative error = 5.7112008732312503896423474584238e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.646
Order of pole = 2.186
x[1] = 0.474
y[1] (analytic) = 2.1083673982696708300932245720355
y[1] (numeric) = 2.1083673982696709503720700721168
absolute error = 1.202788455000813e-16
relative error = 5.7048333036639484535690350947937e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.647
Order of pole = 2.186
x[1] = 0.475
y[1] (analytic) = 2.1088092262910067371354575331752
y[1] (numeric) = 2.1088092262910068573032972210342
absolute error = 1.201678396878590e-16
relative error = 5.6983741435545268870647191698228e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.647
Order of pole = 2.186
x[1] = 0.476
y[1] (analytic) = 2.1092518587445994242731243854374
y[1] (numeric) = 2.1092518587445995443280230296137
absolute error = 1.200548986441763e-16
relative error = 5.6918237690036451296731776607106e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.647
Order of pole = 2.186
x[1] = 0.477
y[1] (analytic) = 2.1096952949186286517764455541446
y[1] (numeric) = 2.1096952949186287717164744673748
absolute error = 1.199400289132302e-16
relative error = 5.6851825570315977642461850514742e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.648
Order of pole = 2.186
x[1] = 0.478
y[1] (analytic) = 2.1101395341006132617176959300801
y[1] (numeric) = 2.1101395341006133815409329908532
absolute error = 1.198232370607731e-16
relative error = 5.6784508855640361339723913302646e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.648
Order of pole = 2.185
x[1] = 0.479
y[1] (analytic) = 2.1105845755774151966245678849096
y[1] (numeric) = 2.1105845755774153163290975587783
absolute error = 1.197045296738687e-16
relative error = 5.6716291334176860212986249386832e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.648
Order of pole = 2.185
x[1] = 0.48
y[1] (analytic) = 2.1110304186352435157387272432853
y[1] (numeric) = 2.1110304186352436353226406039348
absolute error = 1.195839133606495e-16
relative error = 5.6647176802861562675539309120521e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.648
Order of pole = 2.185
x[1] = 0.481
y[1] (analytic) = 2.1114770625596584088401304522792
y[1] (numeric) = 2.1114770625596585283015252023519
absolute error = 1.194613947500727e-16
relative error = 5.6577169067256867781753801412144e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=125.8MB, alloc=4.3MB, time=13.49
Complex estimate of poles used
Radius of convergence = 1.649
Order of pole = 2.185
x[1] = 0.482
y[1] (analytic) = 2.1119245066355752075978070418045
y[1] (numeric) = 2.1119245066355753269347875334813
absolute error = 1.193369804916768e-16
relative error = 5.6506271941409450400241034665761e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.649
Order of pole = 2.185
x[1] = 0.483
y[1] (analytic) = 2.1123727501472683944079477520803
y[1] (numeric) = 2.1123727501472685136186250074194
absolute error = 1.192106772553391e-16
relative error = 5.6434489247708806781027322387727e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.649
Order of pole = 2.185
x[1] = 0.484
y[1] (analytic) = 2.1128217923783756086802754109645
y[1] (numeric) = 2.1128217923783757277627671419972
absolute error = 1.190824917310327e-16
relative error = 5.6361824816745718338668473323986e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.65
Order of pole = 2.185
x[1] = 0.485
y[1] (analytic) = 2.1132716326119016505338127701198
y[1] (numeric) = 2.1132716326119017694862433987035
absolute error = 1.189524306285837e-16
relative error = 5.6288282487170966311625848712504e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.65
Order of pole = 2.185
x[1] = 0.486
y[1] (analytic) = 2.1137222701302224818632990494992
y[1] (numeric) = 2.1137222701302226006837997269281
absolute error = 1.188205006774289e-16
relative error = 5.6213866105554440149132513868822e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.65
Order of pole = 2.184
x[1] = 0.487
y[1] (analytic) = 2.1141737042150892247376448895419
y[1] (numeric) = 2.1141737042150893434243535159157
absolute error = 1.186867086263738e-16
relative error = 5.6138579526244545728125013483485e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.65
Order of pole = 2.184
x[1] = 0.488
y[1] (analytic) = 2.1146259341476321570919537647757
y[1] (numeric) = 2.1146259341476322756430150081255
absolute error = 1.185510612433498e-16
relative error = 5.6062426611227394049152500467570e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.651
Order of pole = 2.184
x[1] = 0.489
y[1] (analytic) = 2.1150789592083647056747766662342
y[1] (numeric) = 2.1150789592083648240883419814078
absolute error = 1.184135653151736e-16
relative error = 5.5985411229987190405870035781383e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.651
Order of pole = 2.184
x[1] = 0.49
y[1] (analytic) = 2.1155327786771874362124060082549
y[1] (numeric) = 2.1155327786771875544866336555596
absolute error = 1.182742276473047e-16
relative error = 5.5907537259365885456576202583975e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.651
Order of pole = 2.184
x[1] = 0.491
y[1] (analytic) = 2.1159873918333920407521542528297
y[1] (numeric) = 2.1159873918333921588852093164344
absolute error = 1.181330550636047e-16
relative error = 5.5828808583423839164974977247977e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.652
Order of pole = 2.184
x[1] = 0.492
y[1] (analytic) = 2.1164427979556653221467026667865
y[1] (numeric) = 2.1164427979556654401367570728824
absolute error = 1.179900544060959e-16
relative error = 5.5749229093300316124310930180590e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.652
Order of pole = 2.184
x[1] = 0.493
y[1] (analytic) = 2.1168989963220931756417459287071
y[1] (numeric) = 2.116898996322093293486978463428
absolute error = 1.178452325347209e-16
relative error = 5.5668802687074616836535349616077e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=129.7MB, alloc=4.3MB, time=13.98
Complex estimate of poles used
Radius of convergence = 1.652
Order of pole = 2.184
x[1] = 0.494
y[1] (analytic) = 2.1173559862101645675292989786849
y[1] (numeric) = 2.1173559862101646852278953057868
absolute error = 1.176985963271019e-16
relative error = 5.5587533269627231266329097152715e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.652
Order of pole = 2.183
x[1] = 0.495
y[1] (analytic) = 2.117813766896775510829173549836
y[1] (numeric) = 2.1178137668967756283793262281364
absolute error = 1.175501526783004e-16
relative error = 5.5505424752501346411488644190333e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.653
Order of pole = 2.183
x[1] = 0.496
y[1] (analytic) = 2.1182723376582330379612732309534
y[1] (numeric) = 2.1182723376582331553611817315312
absolute error = 1.173999085005778e-16
relative error = 5.5422481053764944636875174741767e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.653
Order of pole = 2.183
x[1] = 0.497
y[1] (analytic) = 2.1187316977702591703714976798972
y[1] (numeric) = 2.1187316977702592876193684030527
absolute error = 1.172478707231555e-16
relative error = 5.5338706097872832338912392489311e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.653
Order of pole = 2.183
x[1] = 0.498
y[1] (analytic) = 2.1191918465079948850741887322999
y[1] (numeric) = 2.1191918465079950021682350242752
absolute error = 1.170940462919753e-16
relative error = 5.5254103815528977777292308345082e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.654
Order of pole = 2.183
x[1] = 0.499
y[1] (analytic) = 2.1196527831460040780741936250137
y[1] (numeric) = 2.1196527831460041950126357944747
absolute error = 1.169384421694610e-16
relative error = 5.5168678143549583426786710286316e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.654
Order of pole = 2.183
x[1] = 0.5
y[1] (analytic) = 2.1201145069582775246317633735097
y[1] (numeric) = 2.1201145069582776414128287077893
absolute error = 1.167810653342796e-16
relative error = 5.5082433024726138273198788126519e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.654
Order of pole = 2.183
x[1] = 0.501
y[1] (analytic) = 2.1205770172182368363336475022362
y[1] (numeric) = 2.1205770172182369529555702833389
absolute error = 1.166219227811027e-16
relative error = 5.4995372407688734236977368848331e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.655
Order of pole = 2.183
x[1] = 0.502
y[1] (analytic) = 2.1210403131987384149338898218497
y[1] (numeric) = 2.1210403131987385313949113422187
absolute error = 1.164610215203690e-16
relative error = 5.4907500246770071848688503297890e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.655
Order of pole = 2.183
x[1] = 0.503
y[1] (analytic) = 2.1215043941720774029279737723446
y[1] (numeric) = 2.1215043941720775192263423503909
absolute error = 1.162983685780463e-16
relative error = 5.4818820501869401141793510540154e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.655
Order of pole = 2.183
x[1] = 0.504
y[1] (analytic) = 2.1219692594099916308241100015226
y[1] (numeric) = 2.1219692594099917469580809969172
absolute error = 1.161339709953946e-16
relative error = 5.4729337138317153072733944277352e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.655
Order of pole = 2.182
x[1] = 0.505
y[1] (analytic) = 2.1224349081836655610756033190815
y[1] (numeric) = 2.1224349081836656770434391478106
absolute error = 1.159678358287291e-16
relative error = 5.4639054126739696210825842085619e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=133.5MB, alloc=4.3MB, time=14.46
Complex estimate of poles used
Radius of convergence = 1.656
Order of pole = 2.182
x[1] = 0.506
y[1] (analytic) = 2.1229013397637342286383809529745
y[1] (numeric) = 2.122901339763734344438351102158
absolute error = 1.157999701491835e-16
relative error = 5.4547975442924408109440068785079e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.656
Order of pole = 2.182
x[1] = 0.507
y[1] (analytic) = 2.123368553420287178117909131727
y[1] (numeric) = 2.1233685534202872937482901742014
absolute error = 1.156303810424744e-16
relative error = 5.4456105067685438812190092684380e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.656
Order of pole = 2.182
x[1] = 0.508
y[1] (analytic) = 2.1238365484228723974698704192294
y[1] (numeric) = 2.1238365484228725129289460278942
absolute error = 1.154590756086648e-16
relative error = 5.4363446986729224907375315516539e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.657
Order of pole = 2.182
x[1] = 0.509
y[1] (analytic) = 2.124305324040500248219119932292
y[1] (numeric) = 2.1243053240405003635051808942216
absolute error = 1.152860609619296e-16
relative error = 5.4270005190521120832501838372370e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.657
Order of pole = 2.182
x[1] = 0.51
y[1] (analytic) = 2.1247748795416473921615845711047
y[1] (numeric) = 2.124774879541647507272928801425
absolute error = 1.151113442303203e-16
relative error = 5.4175783674151829076940773262595e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.657
Order of pole = 2.182
x[1] = 0.511
y[1] (analytic) = 2.1252452141942607145139156838436
y[1] (numeric) = 2.1252452141942608294488482393741
absolute error = 1.149349325555305e-16
relative error = 5.4080786437204383599771370163078e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.658
Order of pole = 2.182
x[1] = 0.512
y[1] (analytic) = 2.1257163272657612434758521641765
y[1] (numeric) = 2.1257163272657613582326852568383
absolute error = 1.147568330926618e-16
relative error = 5.3985017483621498582245744303667e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.658
Order of pole = 2.182
x[1] = 0.513
y[1] (analytic) = 2.126188218023048066170397839514
y[1] (numeric) = 2.1261882180230481807474508495045
absolute error = 1.145770530099905e-16
relative error = 5.3888480821573471219471389105777e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.658
Order of pole = 2.182
x[1] = 0.514
y[1] (analytic) = 2.1266608857325022409270641437188
y[1] (numeric) = 2.1266608857325023553226636324525
absolute error = 1.143955994887337e-16
relative error = 5.3791180463325980516400764462117e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.659
Order of pole = 2.182
x[1] = 0.515
y[1] (analytic) = 2.1271343296599907058735764758058
y[1] (numeric) = 2.1271343296599908200860561986235
absolute error = 1.142124797228177e-16
relative error = 5.3693120425109146715330580159810e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.659
Order of pole = 2.182
x[1] = 0.516
y[1] (analytic) = 2.1276085490708701838015903211562
y[1] (numeric) = 2.1276085490708702978292912398004
absolute error = 1.140277009186442e-16
relative error = 5.3594304726985735463539952128225e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.659
Order of pole = 2.182
memory used=137.3MB, alloc=4.3MB, time=14.95
x[1] = 0.517
y[1] (analytic) = 2.1280835432299910832721111491178
y[1] (numeric) = 2.1280835432299911971133814439779
absolute error = 1.138412702948601e-16
relative error = 5.3494737392721234627625205251262e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.659
Order of pole = 2.182
x[1] = 0.518
y[1] (analytic) = 2.1285593114017013959264602958227
y[1] (numeric) = 2.1285593114017015095796553779473
absolute error = 1.136531950821246e-16
relative error = 5.3394422449652842192888898836709e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.66
Order of pole = 2.182
x[1] = 0.519
y[1] (analytic) = 2.1290358528498505899687774888102
y[1] (numeric) = 2.1290358528498507034322600116898
absolute error = 1.134634825228796e-16
relative error = 5.3293363928560186230199922689398e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.66
Order of pole = 2.182
x[1] = 0.52
y[1] (analytic) = 2.129513166837793499786199365882
y[1] (numeric) = 2.1295131668377936130583392370002
absolute error = 1.132721398711182e-16
relative error = 5.3191565863535333444414403367577e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.66
Order of pole = 2.181
x[1] = 0.521
y[1] (analytic) = 2.129991252628394211673002279741
y[1] (numeric) = 2.1299912526283943247521766718969
absolute error = 1.130791743921559e-16
relative error = 5.3089032291854248143399270754033e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.661
Order of pole = 2.181
x[1] = 0.522
y[1] (analytic) = 2.1304701094840299456251468576761
y[1] (numeric) = 2.1304701094840300585097402200763
absolute error = 1.128845933624002e-16
relative error = 5.2985767253847682101985041036546e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.661
Order of pole = 2.181
x[1] = 0.523
y[1] (analytic) = 2.1309497366665949331718111970815
y[1] (numeric) = 2.1309497366665950458602152662039
absolute error = 1.126884040691224e-16
relative error = 5.2881774792773280535981879746218e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.661
Order of pole = 2.181
x[1] = 0.524
y[1] (analytic) = 2.1314301334375042912106492182554
y[1] (numeric) = 2.1314301334375044037012630284838
absolute error = 1.124906138102284e-16
relative error = 5.2777058954687402005424702723934e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.662
Order of pole = 2.181
x[1] = 0.525
y[1] (analytic) = 2.1319112990576978918136605609648
y[1] (numeric) = 2.1319112990576980041048904549967
absolute error = 1.122912298940319e-16
relative error = 5.2671623788318248576913135287890e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.662
Order of pole = 2.181
x[1] = 0.526
y[1] (analytic) = 2.1323932327876442279707084960245
y[1] (numeric) = 2.1323932327876443400609681350508
absolute error = 1.120902596390263e-16
relative error = 5.2565473344938570096395336908694e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.662
Order of pole = 2.181
x[1] = 0.527
y[1] (analytic) = 2.1328759338873442752378726228937
y[1] (numeric) = 2.1328759338873443871255829965516
absolute error = 1.118877103736579e-16
relative error = 5.2458611678239163309264959858998e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.663
Order of pole = 2.181
x[1] = 0.528
y[1] (analytic) = 2.1333594016163353492579736343943
y[1] (numeric) = 2.1333594016163354609415630704942
absolute error = 1.116835894360999e-16
relative error = 5.2351042844202931245619520888716e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=141.1MB, alloc=4.3MB, time=15.44
Complex estimate of poles used
Radius of convergence = 1.663
Order of pole = 2.181
x[1] = 0.529
y[1] (analytic) = 2.1338436352336949591207581454161
y[1] (numeric) = 2.1338436352336950705986623194428
absolute error = 1.114779041740267e-16
relative error = 5.2242770900979268703510469086027e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.663
Order of pole = 2.181
x[1] = 0.53
y[1] (analytic) = 2.1343286339980446565303824992427
y[1] (numeric) = 2.1343286339980447678010444436313
absolute error = 1.112706619443886e-16
relative error = 5.2133799908758821199040305344960e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.664
Order of pole = 2.181
x[1] = 0.531
y[1] (analytic) = 2.1348143971675538807479855782631
y[1] (numeric) = 2.13481439716755399180985569145
absolute error = 1.110618701131869e-16
relative error = 5.2024133929648617817305466273314e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.664
Order of pole = 2.181
x[1] = 0.532
y[1] (analytic) = 2.1353009239999437992772919506933
y[1] (numeric) = 2.1353009239999439101288280059437
absolute error = 1.108515360552504e-16
relative error = 5.1913777027548046708842923128875e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.664
Order of pole = 2.181
x[1] = 0.533
y[1] (analytic) = 2.1357882137524911442613381768972
y[1] (numeric) = 2.1357882137524912549010053309089
absolute error = 1.106396671540117e-16
relative error = 5.1802733268024923764891586947384e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.665
Order of pole = 2.181
x[1] = 0.534
y[1] (analytic) = 2.136276265682032044558566773353
y[1] (numeric) = 2.136276265682032154984837574637
absolute error = 1.104262708012840e-16
relative error = 5.1691006718191983003050830138801e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.665
Order of pole = 2.181
x[1] = 0.535
y[1] (analytic) = 2.1367650790449658534666841846634
y[1] (numeric) = 2.1367650790449659636780385817026
absolute error = 1.102113543970392e-16
relative error = 5.1578601446584163389604137008979e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.665
Order of pole = 2.181
x[1] = 0.536
y[1] (analytic) = 2.1372546530972589720628311396677
y[1] (numeric) = 2.1372546530972590820577564888539
absolute error = 1.099949253491862e-16
relative error = 5.1465521523036177140091124986621e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.665
Order of pole = 2.181
x[1] = 0.537
y[1] (analytic) = 2.1377449870944486681287659621046
y[1] (numeric) = 2.1377449870944487779057570354542
absolute error = 1.097769910733496e-16
relative error = 5.1351771018560453591298072673177e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.666
Order of pole = 2.181
x[1] = 0.538
y[1] (analytic) = 2.1382360802916468906299137648307
y[1] (numeric) = 2.1382360802916470001874727574797
absolute error = 1.095575589926490e-16
relative error = 5.1237354005225552559318805099458e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.666
Order of pole = 2.181
x[1] = 0.539
y[1] (analytic) = 2.1387279319435440797172869747762
y[1] (numeric) = 2.1387279319435441890539235122558
absolute error = 1.093366365374796e-16
relative error = 5.1122274556035374702819611151668e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.666
Order of pole = 2.181
x[1] = 0.54
y[1] (analytic) = 2.1392205413044129722214353090746
y[1] (numeric) = 2.1392205413044130813356664543671
absolute error = 1.091142311452925e-16
relative error = 5.1006536744808420641839290787214e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=144.9MB, alloc=4.3MB, time=15.93
Complex estimate of poles used
Radius of convergence = 1.667
Order of pole = 2.181
x[1] = 0.541
y[1] (analytic) = 2.139713907628112402607736146605
y[1] (numeric) = 2.1397139076281125114980864069814
absolute error = 1.088903502603764e-16
relative error = 5.0890144646057894214223731652680e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.667
Order of pole = 2.181
x[1] = 0.542
y[1] (analytic) = 2.1402080301680910993624892090352
y[1] (numeric) = 2.1402080301680912080274905426743
absolute error = 1.086650013336391e-16
relative error = 5.0773102334871901873243235277589e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.667
Order of pole = 2.182
x[1] = 0.543
y[1] (analytic) = 2.1407029081773914767794325768331
y[1] (numeric) = 2.1407029081773915852176243992236
absolute error = 1.084381918223905e-16
relative error = 5.0655413886794543151873991524102e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.668
Order of pole = 2.182
x[1] = 0.544
y[1] (analytic) = 2.1411985409086534221164503141511
y[1] (numeric) = 2.141198540908653530326379504277
absolute error = 1.082099291901259e-16
relative error = 5.0537083377707331261799690793206e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.668
Order of pole = 2.182
x[1] = 0.545
y[1] (analytic) = 2.1416949276141180780923953574976
y[1] (numeric) = 2.1416949276141181860726162638072
absolute error = 1.079802209063096e-16
relative error = 5.0418114883710944227573380097175e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.668
Order of pole = 2.182
x[1] = 0.546
y[1] (analytic) = 2.1421920675456316206941048322351
y[1] (numeric) = 2.1421920675456317284431792783946
absolute error = 1.077490744461595e-16
relative error = 5.0298512481007633717693692222483e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.669
Order of pole = 2.182
x[1] = 0.547
y[1] (analytic) = 2.1426899599546490322638385937368
y[1] (numeric) = 2.1426899599546491397803358841695
absolute error = 1.075164972904327e-16
relative error = 5.0178280245784291427996717098201e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.669
Order of pole = 2.182
x[1] = 0.548
y[1] (analytic) = 2.1431886040922378698375255420604
y[1] (numeric) = 2.1431886040922379771200224672713
absolute error = 1.072824969252109e-16
relative error = 5.0057422254095612950415200337495e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.669
Order of pole = 2.182
x[1] = 0.549
y[1] (analytic) = 2.1436879992090820287043561258304
y[1] (numeric) = 2.1436879992090821357514369675176
absolute error = 1.070470808416872e-16
relative error = 4.9935942581748106254964327531547e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.67
Order of pole = 2.182
x[1] = 0.55
y[1] (analytic) = 2.1441881445554855011584134282629
y[1] (numeric) = 2.1441881445554856079686699642158
absolute error = 1.068102565359529e-16
relative error = 4.9813845304184291383982911107191e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.67
Order of pole = 2.182
x[1] = 0.551
y[1] (analytic) = 2.1446890393813761304131893115139
y[1] (numeric) = 2.1446890393813762369852208203005
absolute error = 1.065720315087866e-16
relative error = 4.9691134496368164359296548244516e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.67
Order of pole = 2.182
x[1] = 0.552
y[1] (analytic) = 2.1451906829363093596499862804172
y[1] (numeric) = 2.1451906829363094659823995458585
absolute error = 1.063324132654413e-16
relative error = 4.9567814232669919641464931312066e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=148.7MB, alloc=4.3MB, time=16.42
Complex estimate of poles used
Radius of convergence = 1.671
Order of pole = 2.182
x[1] = 0.553
y[1] (analytic) = 2.1456930744694719761713600088153
y[1] (numeric) = 2.1456930744694720822627693242496
absolute error = 1.060914093154343e-16
relative error = 4.9443888586752170275952946480999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.671
Order of pole = 2.182
x[1] = 0.554
y[1] (analytic) = 2.1461962132296858506309118467498
y[1] (numeric) = 2.1461962132296859564799390190876
absolute error = 1.058490271723378e-16
relative error = 4.9319361631456685675880146045589e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.671
Order of pole = 2.182
x[1] = 0.555
y[1] (analytic) = 2.1467000984654116713108950904101
y[1] (numeric) = 2.1467000984654117769161694439788
absolute error = 1.056052743535687e-16
relative error = 4.9194237438690948312796806327350e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.672
Order of pole = 2.182
x[1] = 0.556
y[1] (analytic) = 2.1472047294247526734192533446213
y[1] (numeric) = 2.1472047294247527787794117248013
absolute error = 1.053601583801800e-16
relative error = 4.9068520079315648207844630382294e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.672
Order of pole = 2.182
x[1] = 0.557
y[1] (analytic) = 2.1477101053554583633778639354827
y[1] (numeric) = 2.1477101053554584684915507121365
absolute error = 1.051136867766538e-16
relative error = 4.8942213623033114539202138996440e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.672
Order of pole = 2.182
x[1] = 0.558
y[1] (analytic) = 2.1482162255049282380739140342484
y[1] (numeric) = 2.1482162255049283429397811049417
absolute error = 1.048658670706933e-16
relative error = 4.8815322138275473364749414590678e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.673
Order of pole = 2.183
x[1] = 0.559
y[1] (analytic) = 2.1487230891202154990464919283856
y[1] (numeric) = 2.1487230891202156036631987214023
absolute error = 1.046167067930167e-16
relative error = 4.8687849692093882392197045708872e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.673
Order of pole = 2.183
x[1] = 0.56
y[1] (analytic) = 2.1492306954480307615806307177036
y[1] (numeric) = 2.1492306954480308659468441948548
absolute error = 1.043662134771512e-16
relative error = 4.8559800350048004347418188393640e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.674
Order of pole = 2.183
x[1] = 0.561
y[1] (analytic) = 2.1497390437347457586811966182522
y[1] (numeric) = 2.1497390437347458627955912774806
absolute error = 1.041143946592284e-16
relative error = 4.8431178176096324100292155356454e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.674
Order of pole = 2.183
x[1] = 0.562
y[1] (analytic) = 2.1502481332263970398991690201211
y[1] (numeric) = 2.1502481332263971437604268979008
absolute error = 1.038612578777797e-16
relative error = 4.8301987232486657887179556275703e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.674
Order of pole = 2.183
x[1] = 0.563
y[1] (analytic) = 2.1507579631686896649830144630984
y[1] (numeric) = 2.1507579631686897685898251366315
absolute error = 1.036068106735331e-16
relative error = 4.8172231579647506060794750897615e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.675
Order of pole = 2.183
x[1] = 0.564
y[1] (analytic) = 2.1512685328070008923280117621764
y[1] (numeric) = 2.1512685328070009956790723513866
absolute error = 1.033510605892102e-16
relative error = 4.8041915276079690967681086239196e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=152.5MB, alloc=4.3MB, time=16.91
Complex estimate of poles used
Radius of convergence = 1.675
Order of pole = 2.183
x[1] = 0.565
y[1] (analytic) = 2.1517798413863838621965406289235
y[1] (numeric) = 2.1517798413863839652905557982478
absolute error = 1.030940151693243e-16
relative error = 4.7911042378248698540544667487676e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.675
Order of pole = 2.183
x[1] = 0.566
y[1] (analytic) = 2.1522918881515712746825012906084
y[1] (numeric) = 2.1522918881515713775181832505876
absolute error = 1.028356819599792e-16
relative error = 4.7779616940477537383391460918690e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.676
Order of pole = 2.183
x[1] = 0.567
y[1] (analytic) = 2.1528046723469790623931878025018
y[1] (numeric) = 2.1528046723469791649692563111704
absolute error = 1.025760685086686e-16
relative error = 4.7647643014840068826023742848574e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.676
Order of pole = 2.183
x[1] = 0.568
y[1] (analytic) = 2.1533181932167100578220929758539
y[1] (numeric) = 2.1533181932167101601372753399303
absolute error = 1.023151823640764e-16
relative error = 4.7515124651054947265494973248251e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.676
Order of pole = 2.184
x[1] = 0.569
y[1] (analytic) = 2.1538324500045576553862781005192
y[1] (numeric) = 2.153832450004557757439309176397
absolute error = 1.020530310758778e-16
relative error = 4.7382065896380124123468554497941e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.677
Order of pole = 2.184
x[1] = 0.57
y[1] (analytic) = 2.1543474419540094681020959229697
y[1] (numeric) = 2.1543474419540095698917181175111
absolute error = 1.017896221945414e-16
relative error = 4.7248470795508008082592278663287e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.677
Order of pole = 2.184
x[1] = 0.571
y[1] (analytic) = 2.154863168308250978873210643401
y[1] (numeric) = 2.1548631683082510803981739145319
absolute error = 1.015249632711309e-16
relative error = 4.7114343390460631573114311238573e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.677
Order of pole = 2.184
x[1] = 0.572
y[1] (analytic) = 2.1553796283101691863650140157146
y[1] (numeric) = 2.1553796283101692876240758728245
absolute error = 1.012590618571099e-16
relative error = 4.6979687720486448099645060947486e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.678
Order of pole = 2.184
x[1] = 0.573
y[1] (analytic) = 2.1558968212023562454396919672997
y[1] (numeric) = 2.1558968212023563464316174714442
absolute error = 1.009919255041445e-16
relative error = 4.6844507821956300049518297780571e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.678
Order of pole = 2.184
x[1] = 0.574
y[1] (analytic) = 2.1564147462271131021263514976674
y[1] (numeric) = 2.156414746227113202849913261577
absolute error = 1.007235617639096e-16
relative error = 4.6708807728261295139655512438965e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.678
Order of pole = 2.184
x[1] = 0.575
y[1] (analytic) = 2.1569334026264531231007729621133
y[1] (numeric) = 2.1569334026264532235547511500073
absolute error = 1.004539781878940e-16
relative error = 4.6572591469710317288184660341127e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.679
Order of pole = 2.184
x[1] = 0.576
y[1] (analytic) = 2.1574527896421057196495081946478
y[1] (numeric) = 2.1574527896421058198326905218548
absolute error = 1.001831823272070e-16
relative error = 4.6435863073428424729107811755015e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=156.4MB, alloc=4.3MB, time=17.41
Complex estimate of poles used
Radius of convergence = 1.679
Order of pole = 2.184
x[1] = 0.577
y[1] (analytic) = 2.1579729065155199660932002694681
y[1] (numeric) = 2.157972906515520066004382001854
absolute error = 9.99111817323859e-17
relative error = 4.6298626563255856560762862286278e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.679
Order of pole = 2.185
x[1] = 0.578
y[1] (analytic) = 2.1584937524878682126441560382542
y[1] (numeric) = 2.1584937524878683122821399914583
absolute error = 9.96379839532041e-17
relative error = 4.6160885959647508431979956219472e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.68
Order of pole = 2.185
x[1] = 0.579
y[1] (analytic) = 2.1590153268000496926733579075882
y[1] (numeric) = 2.1590153268000497920369544460683
absolute error = 9.93635965384801e-17
relative error = 4.6022645279573016235301445165521e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.68
Order of pole = 2.185
x[1] = 0.58
y[1] (analytic) = 2.1595376286926941243622566328802
y[1] (numeric) = 2.1595376286926942234502836687679
absolute error = 9.90880270358877e-17
relative error = 4.5883908536417586401068417817785e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.68
Order of pole = 2.185
x[1] = 0.581
y[1] (analytic) = 2.1600606574061653067148421983952
y[1] (numeric) = 2.1600606574061654055261251901609
absolute error = 9.88112829917657e-17
relative error = 4.5744679739882785209618435595191e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.681
Order of pole = 2.185
x[1] = 0.582
y[1] (analytic) = 2.1605844121805647099056451233956
y[1] (numeric) = 2.1605844121805648084390170743259
absolute error = 9.85333719509303e-17
relative error = 4.5604962895888768961666532141383e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.681
Order of pole = 2.185
x[1] = 0.583
y[1] (analytic) = 2.1611088922557350599394757781599
y[1] (numeric) = 2.1611088922557351581937772346468
absolute error = 9.82543014564869e-17
relative error = 4.5464762006476426252721998464324e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.682
Order of pole = 2.185
x[1] = 0.584
y[1] (analytic) = 2.1616340968712639175988645068046
y[1] (numeric) = 2.1616340968712640155729435564477
absolute error = 9.79740790496431e-17
relative error = 4.5324081069710265879168340171676e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.682
Order of pole = 2.185
x[1] = 0.585
y[1] (analytic) = 2.1621600252664872516553205325772
y[1] (numeric) = 2.1621600252664873493480328021004
absolute error = 9.76927122695232e-17
relative error = 4.5182924079582188529399501537362e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.682
Order of pole = 2.186
x[1] = 0.586
y[1] (analytic) = 2.1626866766804930063206827617496
y[1] (numeric) = 2.1626866766804931037308914147319
absolute error = 9.74102086529823e-17
relative error = 4.5041295025915262881676026924706e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.683
Order of pole = 2.186
x[1] = 0.587
y[1] (analytic) = 2.163214050352124662914990700584
y[1] (numeric) = 2.1632140503521247600415664350065
absolute error = 9.71265757344225e-17
relative error = 4.4899197894268662445275439553626e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.683
Order of pole = 2.186
x[1] = 0.588
y[1] (analytic) = 2.1637421455199847957274587522718
y[1] (numeric) = 2.1637421455199848925692797978806
absolute error = 9.68418210456088e-17
relative error = 4.4756636665842652626181442570692e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=160.2MB, alloc=4.3MB, time=17.90
Complex estimate of poles used
Radius of convergence = 1.683
Order of pole = 2.186
x[1] = 0.589
y[1] (analytic) = 2.1642709614224386220472921634414
y[1] (numeric) = 2.1642709614224387186032442789285
absolute error = 9.65559521154871e-17
relative error = 4.4613615317384737493031504229618e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.684
Order of pole = 2.186
x[1] = 0.59
y[1] (analytic) = 2.1648004972976175463412378390397
y[1] (numeric) = 2.1648004972976176426102143090415
absolute error = 9.62689764700018e-17
relative error = 4.4470137821095810057100510841233e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.684
Order of pole = 2.186
x[1] = 0.591
y[1] (analytic) = 2.1653307523834226985549181363238
y[1] (numeric) = 2.1653307523834227945358197682385
absolute error = 9.59809016319147e-17
relative error = 4.4326208144537091789529342763021e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.684
Order of pole = 2.186
x[1] = 0.592
y[1] (analytic) = 2.1658617259175284665151505796386
y[1] (numeric) = 2.1658617259175285622068857002643
absolute error = 9.56917351206257e-17
relative error = 4.4181830250538091503690566287186e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.685
Order of pole = 2.186
x[1] = 0.593
y[1] (analytic) = 2.166393417137386022410611203857
y[1] (numeric) = 2.1663934171373861178120956558497
absolute error = 9.54014844519927e-17
relative error = 4.4037008097104382319434896198890e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.685
Order of pole = 2.187
x[1] = 0.594
y[1] (analytic) = 2.166925825280226843328353932117
y[1] (numeric) = 2.1669258252802269384385110702704
absolute error = 9.51101571381534e-17
relative error = 4.3891745637326443636750215237183e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.686
Order of pole = 2.187
x[1] = 0.595
y[1] (analytic) = 2.1674589495830662258238530191207
y[1] (numeric) = 2.167458949583066320641613706469
absolute error = 9.48177606873483e-17
relative error = 4.3746046819289243935001719199364e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.686
Order of pole = 2.187
x[1] = 0.596
y[1] (analytic) = 2.167992789282706794502390141083
y[1] (numeric) = 2.1679927892827068890266927448261
absolute error = 9.45243026037431e-17
relative error = 4.3599915585981733458668023756461e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.686
Order of pole = 2.187
x[1] = 0.597
y[1] (analytic) = 2.1685273436157420045897621837746
y[1] (numeric) = 2.1685273436157420988195525710284
absolute error = 9.42297903872538e-17
relative error = 4.3453355875207769306530366473470e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.687
Order of pole = 2.187
x[1] = 0.598
y[1] (analytic) = 2.1690626118185596384704401673719
y[1] (numeric) = 2.1690626118185597324046717007432
absolute error = 9.39342315333713e-17
relative error = 4.3306371619496995747937867481657e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.687
Order of pole = 2.187
x[1] = 0.599
y[1] (analytic) = 2.169598593127345296171464047363
y[1] (numeric) = 2.1695985931273453898090975803504
absolute error = 9.36376335329874e-17
relative error = 4.3158966746016556159001046013655e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.687
Order of pole = 2.187
x[1] = 0.6
y[1] (analytic) = 2.1701352867780858797705123409851
y[1] (numeric) = 2.1701352867780859731105162132066
absolute error = 9.33400038722215e-17
relative error = 4.3011145176483313153878072556925e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=164.0MB, alloc=4.3MB, time=18.39
Complex estimate of poles used
Radius of convergence = 1.688
Order of pole = 2.187
x[1] = 0.601
y[1] (analytic) = 2.1706726920065730717067396449841
y[1] (numeric) = 2.1706726920065731647480896772331
absolute error = 9.30413500322490e-17
relative error = 4.2862910827077037284428156214418e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.688
Order of pole = 2.188
x[1] = 0.602
y[1] (analytic) = 2.1712108080484068069731291293354
y[1] (numeric) = 2.1712108080484068997148086184644
absolute error = 9.27416794891290e-17
relative error = 4.2714267608353457815360991027356e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.688
Order of pole = 2.188
x[1] = 0.603
y[1] (analytic) = 2.1717496341389987391692610093923
y[1] (numeric) = 2.1717496341389988316102607230267
absolute error = 9.24409997136344e-17
relative error = 4.2565219425158603787493497601589e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.689
Order of pole = 2.188
x[1] = 0.604
y[1] (analytic) = 2.1722891695135757003935518122126
y[1] (numeric) = 2.1722891695135757925328699832948
absolute error = 9.21393181710822e-17
relative error = 4.2415770176543420920518241464831e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.689
Order of pole = 2.188
x[1] = 0.605
y[1] (analytic) = 2.172829413407183154954172958037
y[1] (numeric) = 2.1728294134071832467908152792014
absolute error = 9.18366423211644e-17
relative error = 4.2265923755678848507059564348637e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.69
Order of pole = 2.188
x[1] = 0.606
y[1] (analytic) = 2.1733703650546886468780107715646
y[1] (numeric) = 2.1733703650546887384109903893452
absolute error = 9.15329796177806e-17
relative error = 4.2115684049771862158880663674698e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.69
Order of pole = 2.188
x[1] = 0.607
y[1] (analytic) = 2.1739120236907852411971835163203
y[1] (numeric) = 2.1739120236907853324255210251916
absolute error = 9.12283375088713e-17
relative error = 4.1965054939982021251018888089938e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.69
Order of pole = 2.188
x[1] = 0.608
y[1] (analytic) = 2.1744543885499949589927844055756
y[1] (numeric) = 2.1744543885499950499155078418265
absolute error = 9.09227234362509e-17
relative error = 4.1814040301338060818934473207635e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.691
Order of pole = 2.188
x[1] = 0.609
y[1] (analytic) = 2.1749974588666722061756727815267
y[1] (numeric) = 2.1749974588666722967918176169705
absolute error = 9.06161448354438e-17
relative error = 4.1662644002656091567306274389366e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.691
Order of pole = 2.188
x[1] = 0.61
y[1] (analytic) = 2.1755412338750071959842887673518
y[1] (numeric) = 2.1755412338750072862928979028709
absolute error = 9.03086091355191e-17
relative error = 4.1510869906457337239667095743261e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.691
Order of pole = 2.189
x[1] = 0.611
y[1] (analytic) = 2.1760857128090293651796196809318
y[1] (numeric) = 2.1760857128090294551797434398598
absolute error = 9.00001237589280e-17
relative error = 4.1358721868887294776637758754078e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.692
Order of pole = 2.189
x[1] = 0.612
memory used=167.8MB, alloc=4.3MB, time=18.88
y[1] (analytic) = 2.1766308949026107839175993510764
y[1] (numeric) = 2.1766308949026108736082954724174
absolute error = 8.96906961213410e-17
relative error = 4.1206203739634982935374873029207e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.692
Order of pole = 2.189
x[1] = 0.613
y[1] (analytic) = 2.1771767793894695592793741936616
y[1] (numeric) = 2.1771767793894696486597078251484
absolute error = 8.93803336314868e-17
relative error = 4.1053319361853152394467851028057e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.692
Order of pole = 2.189
x[1] = 0.614
y[1] (analytic) = 2.1777233655031732324400224828257
y[1] (numeric) = 2.1777233655031733215090661738171
absolute error = 8.90690436909914e-17
relative error = 4.0900072572078767349256787807565e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.693
Order of pole = 2.189
x[1] = 0.615
y[1] (analytic) = 2.1782706524771421694564656879564
y[1] (numeric) = 2.1782706524771422582132993821746
absolute error = 8.87568336942182e-17
relative error = 4.0746467200154125862240069820984e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.693
Order of pole = 2.189
x[1] = 0.616
y[1] (analytic) = 2.1788186395446529456554630373265
y[1] (numeric) = 2.1788186395446530340991740654366
absolute error = 8.84437110281101e-17
relative error = 4.0592507069149077282722726165227e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.694
Order of pole = 2.189
x[1] = 0.617
y[1] (analytic) = 2.1793673259388417236027326106135
y[1] (numeric) = 2.1793673259388418117324156826442
absolute error = 8.81296830720307e-17
relative error = 4.0438195995283004608873533808557e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.694
Order of pole = 2.189
x[1] = 0.618
y[1] (analytic) = 2.179916710892707624634394251893
y[1] (numeric) = 2.179916710892707712449151449501
absolute error = 8.78147571976080e-17
relative error = 4.0283537787848132358020335956464e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.694
Order of pole = 2.189
x[1] = 0.619
y[1] (analytic) = 2.1804667936391160939320814287875
y[1] (numeric) = 2.1804667936391161814310221973659
absolute error = 8.74989407685784e-17
relative error = 4.0128536249133149104207469444131e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.695
Order of pole = 2.189
x[1] = 0.62
y[1] (analytic) = 2.1810175734108022591232208390391
y[1] (numeric) = 2.1810175734108023463054619796701
absolute error = 8.71822411406310e-17
relative error = 3.9973195174347144573880406561215e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.695
Order of pole = 2.189
x[1] = 0.621
y[1] (analytic) = 2.1815690494403742823881300796476
y[1] (numeric) = 2.1815690494403743692527957409021
absolute error = 8.68646656612545e-17
relative error = 3.9817518351544915473111943516862e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.695
Order of pole = 2.19
x[1] = 0.622
y[1] (analytic) = 2.1821212209603167060557350426878
y[1] (numeric) = 2.1821212209603167926019567122706
absolute error = 8.65462216695828e-17
relative error = 3.9661509561551850809027230143702e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.696
Order of pole = 2.19
x[1] = 0.623
y[1] (analytic) = 2.1826740872029937916698598828003
y[1] (numeric) = 2.1826740872029938778967763790442
absolute error = 8.62269164962439e-17
relative error = 3.9505172577890505385306218305738e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.696
Order of pole = 2.19
memory used=171.6MB, alloc=4.3MB, time=19.37
x[1] = 0.624
y[1] (analytic) = 2.1832276474006528525081934110049
y[1] (numeric) = 2.1832276474006529384149508742124
absolute error = 8.59067574632075e-17
relative error = 3.9348511166706751931814666271075e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.697
Order of pole = 2.19
x[1] = 0.625
y[1] (analytic) = 2.183781900785427579536186604756
y[1] (numeric) = 2.1837819007854276651219384883914
absolute error = 8.55857518836354e-17
relative error = 3.9191529086697390509149844382623e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.697
Order of pole = 2.19
x[1] = 0.626
y[1] (analytic) = 2.1843368465893413607782865819473
y[1] (numeric) = 2.1843368465893414460421936436784
absolute error = 8.52639070617311e-17
relative error = 3.9034230089037564915202580841712e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.697
Order of pole = 2.19
x[1] = 0.627
y[1] (analytic) = 2.1848924840443105940890628637641
y[1] (numeric) = 2.1848924840443106790302931563564
absolute error = 8.49412302925923e-17
relative error = 3.8876617917309680289014396307139e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.698
Order of pole = 2.19
x[1] = 0.628
y[1] (analytic) = 2.1854488123821479933069320448116
y[1] (numeric) = 2.1854488123821480779246609068742
absolute error = 8.46177288620626e-17
relative error = 3.8718696307432126624732079607526e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.698
Order of pole = 2.19
x[1] = 0.629
y[1] (analytic) = 2.186005830834565887773337095741
y[1] (numeric) = 2.1860058308345659720667471423257
absolute error = 8.42934100465847e-17
relative error = 3.8560468987588861081132921344145e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.698
Order of pole = 2.19
x[1] = 0.63
y[1] (analytic) = 2.186563538633179515200387440625
y[1] (numeric) = 2.18656353863317959916866855368
absolute error = 8.39682811130550e-17
relative error = 3.8401939678159802210983477003544e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.699
Order of pole = 2.19
x[1] = 0.631
y[1] (analytic) = 2.1871219350095103078701156755724
y[1] (numeric) = 2.1871219350095103915124649942514
absolute error = 8.36423493186790e-17
relative error = 3.8243112091651760709947362082004e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.699
Order of pole = 2.19
x[1] = 0.632
y[1] (analytic) = 2.187681019194989172148656323515
y[1] (numeric) = 2.1876810191949892554642782343414
absolute error = 8.33156219108264e-17
relative error = 3.8083989932629403286384152214545e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.7
Order of pole = 2.19
x[1] = 0.633
y[1] (analytic) = 2.1882407904209597612988013497663
y[1] (numeric) = 2.1882407904209598442869074766557
absolute error = 8.29881061268894e-17
relative error = 3.7924576897647849422370069739291e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.7
Order of pole = 2.19
x[1] = 0.634
y[1] (analytic) = 2.1888012479186817415745362908856
y[1] (numeric) = 2.1888012479186818242343454850255
absolute error = 8.26598091941399e-17
relative error = 3.7764876675184933922734338261358e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.7
Order of pole = 2.19
x[1] = 0.635
y[1] (analytic) = 2.18936239091933405158130977262
y[1] (numeric) = 2.1893623909193341339120481022088
absolute error = 8.23307383295888e-17
relative error = 3.7604892945574597821178197317425e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=175.4MB, alloc=4.3MB, time=19.86
Complex estimate of poles used
Radius of convergence = 1.701
Order of pole = 2.19
x[1] = 0.636
y[1] (analytic) = 2.1899242186540181548859379083376
y[1] (numeric) = 2.1899242186540182368868386481832
absolute error = 8.20009007398456e-17
relative error = 3.7444629380940584027958112575257e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.701
Order of pole = 2.19
x[1] = 0.637
y[1] (analytic) = 2.1904867303537612858601935744847
y[1] (numeric) = 2.1904867303537613675304971954643
absolute error = 8.16703036209796e-17
relative error = 3.7284089645131030994655565952094e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.701
Order of pole = 2.19
x[1] = 0.638
y[1] (analytic) = 2.1910499252495196887422788513218
y[1] (numeric) = 2.191049925249519770081233009703
absolute error = 8.13389541583812e-17
relative error = 3.7123277393653278521091826359082e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.702
Order of pole = 2.19
x[1] = 0.639
y[1] (analytic) = 2.191613802572181849900526992647
y[1] (numeric) = 2.1916138025721819309073865192721
absolute error = 8.10068595266251e-17
relative error = 3.6962196273609706971438224456314e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.702
Order of pole = 2.19
x[1] = 0.64
y[1] (analytic) = 2.192178361552571723283828144555
y[1] (numeric) = 2.1921783615525718039578550338886
absolute error = 8.06740268893336e-17
relative error = 3.6800849923633787268912897911745e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.703
Order of pole = 2.19
x[1] = 0.641
y[1] (analytic) = 2.1927436014214519490434206676757
y[1] (numeric) = 2.1927436014214520293838840667171
absolute error = 8.03404633990414e-17
relative error = 3.6639241973826980083230037393461e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.703
Order of pole = 2.19
x[1] = 0.642
y[1] (analytic) = 2.1933095214095270653108373269828
y[1] (numeric) = 2.1933095214095271453170135240439
absolute error = 8.00061761970611e-17
relative error = 3.6477376045696118253328018423548e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.703
Order of pole = 2.19
x[1] = 0.643
y[1] (analytic) = 2.1938761207474467131169427953664
y[1] (numeric) = 2.1938761207474467927881152087161
absolute error = 7.96711724133497e-17
relative error = 3.6315255752091408630719826706229e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.704
Order of pole = 2.191
x[1] = 0.644
y[1] (analytic) = 2.1944433986658088344371458689608
y[1] (numeric) = 2.1944433986658089137726050353367
absolute error = 7.93354591663759e-17
relative error = 3.6152884697144961393191234148866e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.704
Order of pole = 2.191
x[1] = 0.645
y[1] (analytic) = 2.1950113543951628633480165109526
y[1] (numeric) = 2.1950113543951629423470600739414
absolute error = 7.89990435629888e-17
relative error = 3.5990266476210119524786148696937e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.705
Order of pole = 2.191
x[1] = 0.646
y[1] (analytic) = 2.1955799871660129102806843235398
y[1] (numeric) = 2.195579987166012988942617021827
absolute error = 7.86619326982872e-17
relative error = 3.5827404675801222942175798559142e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.705
Order of pole = 2.191
x[1] = 0.647
y[1] (analytic) = 2.1961492962088209393565412921567
y[1] (numeric) = 2.1961492962088210176806749476462
absolute error = 7.83241336554895e-17
relative error = 3.5664302873533806771055001896112e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=179.2MB, alloc=4.3MB, time=20.34
Complex estimate of poles used
Radius of convergence = 1.705
Order of pole = 2.191
x[1] = 0.648
y[1] (analytic) = 2.1967192807540099387909176493273
y[1] (numeric) = 2.1967192807540100167765711551325
absolute error = 7.79856535058052e-17
relative error = 3.5500964638065688496271384424053e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.706
Order of pole = 2.191
x[1] = 0.649
y[1] (analytic) = 2.1972899400319670843505454648971
y[1] (numeric) = 2.1972899400319671619970447732045
absolute error = 7.76464993083074e-17
relative error = 3.5337393529038669589653153086884e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.706
Order of pole = 2.19
x[1] = 0.65
y[1] (analytic) = 2.1978612732730468958507700822598
y[1] (numeric) = 2.1978612732730469731574481920652
absolute error = 7.73066781098054e-17
relative error = 3.5173593097020441284667239351811e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.706
Order of pole = 2.19
x[1] = 0.651
y[1] (analytic) = 2.1984332797075743866786147839093
y[1] (numeric) = 2.1984332797075744636448117286285
absolute error = 7.69661969447192e-17
relative error = 3.5009566883447513161740435355730e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.707
Order of pole = 2.19
x[1] = 0.652
y[1] (analytic) = 2.1990059585658482063279490816026
y[1] (numeric) = 2.1990059585658482829530119165568
absolute error = 7.66250628349542e-17
relative error = 3.4845318420568389870999673261008e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.707
Order of pole = 2.19
x[1] = 0.653
y[1] (analytic) = 2.1995793090781437759331557840086
y[1] (numeric) = 2.1995793090781438522164385737861
absolute error = 7.62832827897775e-17
relative error = 3.4680851231387632284825850307196e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.708
Order of pole = 2.19
x[1] = 0.654
y[1] (analytic) = 2.2001533304747164167878364953816
y[1] (numeric) = 2.2001533304747164927287003010763
absolute error = 7.59408638056947e-17
relative error = 3.4516168829610301756543206644937e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.708
Order of pole = 2.19
x[1] = 0.655
y[1] (analytic) = 2.2007280219858044718352394399688
y[1] (numeric) = 2.2007280219858045474330523062965
absolute error = 7.55978128663277e-17
relative error = 3.4351274719587014232046400902125e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.708
Order of pole = 2.19
x[1] = 0.656
y[1] (analytic) = 2.201303382841632420117237486011
y[1] (numeric) = 2.2013033828416324953713744283046
absolute error = 7.52541369422936e-17
relative error = 3.4186172396259648771843340559465e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.709
Order of pole = 2.19
x[1] = 0.657
y[1] (analytic) = 2.2018794122724139841688279578064
y[1] (numeric) = 2.2018794122724140590786709488913
absolute error = 7.49098429910849e-17
relative error = 3.4020865345107800356901641249498e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.709
Order of pole = 2.19
x[1] = 0.658
y[1] (analytic) = 2.2024561095083552303452692718836
y[1] (numeric) = 2.2024561095083553049102072288328
absolute error = 7.45649379569492e-17
relative error = 3.3855357042095158579364171793908e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.709
Order of pole = 2.19
x[1] = 0.659
y[1] (analytic) = 2.2030334737796576620691126113894
y[1] (numeric) = 2.2030334737796577362885413821616
absolute error = 7.42194287707722e-17
relative error = 3.3689650953617537476961477168764e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=183.1MB, alloc=4.3MB, time=20.83
Complex estimate of poles used
Radius of convergence = 1.71
Order of pole = 2.19
x[1] = 0.66
y[1] (analytic) = 2.2036115043165213059845297588964
y[1] (numeric) = 2.2036115043165213798578521088557
absolute error = 7.38733223499593e-17
relative error = 3.3523750536450420844555153807877e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.71
Order of pole = 2.19
x[1] = 0.661
y[1] (analytic) = 2.204190200349147791006480839517
y[1] (numeric) = 2.2041902003491478645331064378364
absolute error = 7.35266255983194e-17
relative error = 3.3357659237697657381840702024296e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.711
Order of pole = 2.19
x[1] = 0.662
y[1] (analytic) = 2.2047695611077434202524080810741
y[1] (numeric) = 2.2047695611077434934317534870241
absolute error = 7.31793454059500e-17
relative error = 3.3191380494740895573620245221699e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.711
Order of pole = 2.19
x[1] = 0.663
y[1] (analytic) = 2.2053495858225222358442837737179
y[1] (numeric) = 2.2053495858225223086757724228399
absolute error = 7.28314886491220e-17
relative error = 3.3024917735189031640930876441989e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.711
Order of pole = 2.19
x[1] = 0.664
y[1] (analytic) = 2.2059302737237090765689824054092
y[1] (numeric) = 2.2059302737237091490520445955757
absolute error = 7.24830621901665e-17
relative error = 3.2858274376828713385672383867259e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.712
Order of pole = 2.19
x[1] = 0.665
y[1] (analytic) = 2.206511624041542628385088459765
y[1] (numeric) = 2.2065116240415427005191613371272
absolute error = 7.21340728773622e-17
relative error = 3.2691453827575263696989598581102e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.712
Order of pole = 2.19
x[1] = 0.666
y[1] (analytic) = 2.2070936360062784677643925865289
y[1] (numeric) = 2.2070936360062785395489201313521
absolute error = 7.17845275448232e-17
relative error = 3.2524459485423932521169424978188e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.713
Order of pole = 2.19
x[1] = 0.667
y[1] (analytic) = 2.2076763088481920978564697900735
y[1] (numeric) = 2.2076763088481921692909028024626
absolute error = 7.14344330123891e-17
relative error = 3.2357294738402337511009068402291e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.713
Order of pole = 2.19
x[1] = 0.668
y[1] (analytic) = 2.208259641797581977464873925566
y[1] (numeric) = 2.2082596417975820485486700110803
absolute error = 7.10837960855143e-17
relative error = 3.2189962964522687522248177327220e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.713
Order of pole = 2.19
x[1] = 0.669
y[1] (analytic) = 2.2088436340847725428236231434366
y[1] (numeric) = 2.2088436340847726135562466985969
absolute error = 7.07326235551603e-17
relative error = 3.2022467531735509893430450851725e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.714
Order of pole = 2.19
x[1] = 0.67
y[1] (analytic) = 2.2094282849401172221627909783405
y[1] (numeric) = 2.2094282849401172925437131760269
absolute error = 7.03809221976864e-17
relative error = 3.1854811797882796914559605368782e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.714
Order of pole = 2.19
x[1] = 0.671
y[1] (analytic) = 2.210013593594001443052157536631
y[1] (numeric) = 2.2100135935940015130808563113749
absolute error = 7.00286987747439e-17
relative error = 3.1686999110652880406188414131522e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=186.9MB, alloc=4.3MB, time=21.33
Complex estimate of poles used
Radius of convergence = 1.715
Order of pole = 2.189
x[1] = 0.672
y[1] (analytic) = 2.2105995592768456325120146942645
y[1] (numeric) = 2.2105995592768457021879747274341
absolute error = 6.96759600331696e-17
relative error = 3.1519032807535131434553495371133e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.715
Order of pole = 2.189
x[1] = 0.673
y[1] (analytic) = 2.2111861812191082098803583728152
y[1] (numeric) = 2.2111861812191082792030710776959
absolute error = 6.93227127048807e-17
relative error = 3.1350916215775435361158466477335e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.715
Order of pole = 2.189
x[1] = 0.674
y[1] (analytic) = 2.2117734586512885724258398127103
y[1] (numeric) = 2.2117734586512886413948033194812
absolute error = 6.89689635067709e-17
relative error = 3.1182652652332350517614194101022e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.716
Order of pole = 2.189
x[1] = 0.675
y[1] (analytic) = 2.2123613908039300736959863077474
y[1] (numeric) = 2.2123613908039301423107054483542
absolute error = 6.86147191406068e-17
relative error = 3.1014245423833542579945356040475e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.716
Order of pole = 2.189
x[1] = 0.676
y[1] (analytic) = 2.2129499769076229945903401012603
y[1] (numeric) = 2.2129499769076230628503263941867
absolute error = 6.82599862929264e-17
relative error = 3.0845697826533307668610894200679e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.716
Order of pole = 2.189
x[1] = 0.677
y[1] (analytic) = 2.2135392161930075071483020698572
y[1] (numeric) = 2.2135392161930075750530737047941
absolute error = 6.79047716349369e-17
relative error = 3.0677013146269917345743899554827e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.717
Order of pole = 2.189
x[1] = 0.678
y[1] (analytic) = 2.2141291078907766310416044333281
y[1] (numeric) = 2.2141291078907766985906862557429
absolute error = 6.75490818224148e-17
relative error = 3.0508194658424140911222604617250e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.717
Order of pole = 2.189
x[1] = 0.679
y[1] (analytic) = 2.2147196512316791827614740270485
y[1] (numeric) = 2.2147196512316792499543975226552
absolute error = 6.71929234956067e-17
relative error = 3.0339245627878220495969017766215e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.718
Order of pole = 2.189
x[1] = 0.68
y[1] (analytic) = 2.2153108454465227174906846539059
y[1] (numeric) = 2.2153108454465227843269879330361
absolute error = 6.68363032791302e-17
relative error = 3.0170169308975027390795994229268e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.718
Order of pole = 2.189
x[1] = 0.681
y[1] (analytic) = 2.2159026897661764636508336943964
y[1] (numeric) = 2.2159026897661765301300614762734
absolute error = 6.64792277818770e-17
relative error = 3.0000968945478347089660902852715e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.718
Order of pole = 2.189
x[1] = 0.682
y[1] (analytic) = 2.216495183421574250115314494066
y[1] (numeric) = 2.2164951834215743162370180909813
absolute error = 6.61217035969153e-17
relative error = 2.9831647770532982683875909129358e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.719
Order of pole = 2.188
x[1] = 0.683
y[1] (analytic) = 2.2170883256437174260785920648701
y[1] (numeric) = 2.2170883256437174918423293662655
absolute error = 6.57637373013954e-17
relative error = 2.9662209006626436123806298668949e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=190.7MB, alloc=4.3MB, time=21.81
Complex estimate of poles used
Radius of convergence = 1.719
Order of pole = 2.188
x[1] = 0.684
y[1] (analytic) = 2.2176821156636777735725253293312
y[1] (numeric) = 2.2176821156636778389778607857851
absolute error = 6.54053354564539e-17
relative error = 2.9492655865550090265489216050415e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.72
Order of pole = 2.188
x[1] = 0.685
y[1] (analytic) = 2.2182765527126004126206145015877
y[1] (numeric) = 2.2182765527126004776671191087079
absolute error = 6.50465046071202e-17
relative error = 2.9322991548361560701997971682093e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.72
Order of pole = 2.188
x[1] = 0.686
y[1] (analytic) = 2.2188716360217066990211872356172
y[1] (numeric) = 2.2188716360217067637084385178411
absolute error = 6.46872512822239e-17
relative error = 2.9153219245347584336033468819955e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.72
Order of pole = 2.188
x[1] = 0.687
y[1] (analytic) = 2.21946736482229711475067187614
y[1] (numeric) = 2.219467364822297179078253870442
absolute error = 6.43275819943020e-17
relative error = 2.8983342135986948166608120110615e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.721
Order of pole = 2.188
x[1] = 0.688
y[1] (analytic) = 2.2200637383457541509782405200428
y[1] (numeric) = 2.2200637383457542149457437595516
absolute error = 6.39675032395088e-17
relative error = 2.8813363388914764574492706103712e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.721
Order of pole = 2.188
x[1] = 0.689
y[1] (analytic) = 2.2206607558235451836832386337294
y[1] (numeric) = 2.2206607558235452472902601312548
absolute error = 6.36070214975254e-17
relative error = 2.8643286161886694681789634590202e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.722
Order of pole = 2.188
x[1] = 0.69
y[1] (analytic) = 2.2212584164872253418669516727099
y[1] (numeric) = 2.2212584164872254051130949041799
absolute error = 6.32461432314700e-17
relative error = 2.8473113601743660198865350523327e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.722
Order of pole = 2.188
x[1] = 0.691
y[1] (analytic) = 2.2218567195684403683503925121332
y[1] (numeric) = 2.2218567195684404312352673999438
absolute error = 6.28848748878106e-17
relative error = 2.8302848844377763036814626992709e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.722
Order of pole = 2.187
x[1] = 0.692
y[1] (analytic) = 2.2224556642989294731499265190173
y[1] (numeric) = 2.2224556642989295356731494152938
absolute error = 6.25232228962765e-17
relative error = 2.8132495014697790653817720044635e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.723
Order of pole = 2.187
x[1] = 0.693
y[1] (analytic) = 2.223055249910528179422683776798
y[1] (numeric) = 2.223055249910528241583877446571
absolute error = 6.21611936697730e-17
relative error = 2.7962055226596287243966172384310e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.723
Order of pole = 2.187
x[1] = 0.694
y[1] (analytic) = 2.2236554756351711619738403087246
y[1] (numeric) = 2.2236554756351712237726339130196
absolute error = 6.17987936042950e-17
relative error = 2.7791532582916254127126073534312e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.724
Order of pole = 2.187
x[1] = 0.695
y[1] (analytic) = 2.2242563407048950783179821367749
y[1] (numeric) = 2.2242563407048951397540112156176
absolute error = 6.14360290788427e-17
relative error = 2.7620930175418918783786658854409e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=194.5MB, alloc=4.3MB, time=22.29
Complex estimate of poles used
Radius of convergence = 1.724
Order of pole = 2.187
x[1] = 0.696
y[1] (analytic) = 2.2248578443518413922868976553935
y[1] (numeric) = 2.2248578443518414533598041107316
absolute error = 6.10729064553381e-17
relative error = 2.7450251084751986266550852271456e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.724
Order of pole = 2.187
x[1] = 0.697
y[1] (analytic) = 2.22545998580825919017627509273
y[1] (numeric) = 2.2254599858082592508857071712718
absolute error = 6.07094320785418e-17
relative error = 2.7279498380418147455762148951633e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.725
Order of pole = 2.187
x[1] = 0.698
y[1] (analytic) = 2.226062764306507989423912774432
y[1] (numeric) = 2.2260627643065080497695250504038
absolute error = 6.03456122759718e-17
relative error = 2.7108675120744607402630505759098e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.725
Order of pole = 2.187
x[1] = 0.699
y[1] (analytic) = 2.226666179079060539812180494745
y[1] (numeric) = 2.2266661790790605997936338525665
absolute error = 5.99814533578215e-17
relative error = 2.6937784352852374387152975241956e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.726
Order of pole = 2.186
x[1] = 0.7
y[1] (analytic) = 2.2272702293585056171876005349729
y[1] (numeric) = 2.2272702293585056768045621518535
absolute error = 5.96169616168806e-17
relative error = 2.6766829112626971412197973424253e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.726
Order of pole = 2.186
x[1] = 0.701
y[1] (analytic) = 2.2278749143775508096905467486189
y[1] (numeric) = 2.2278749143775508689426900770745
absolute error = 5.92521433284556e-17
relative error = 2.6595812424689086240449822722722e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.726
Order of pole = 2.186
x[1] = 0.702
y[1] (analytic) = 2.2284802333690252964881896540814
y[1] (numeric) = 2.2284802333690253553751944043729
absolute error = 5.88870047502915e-17
relative error = 2.6424737302365878101271857667200e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.727
Order of pole = 2.186
x[1] = 0.703
y[1] (analytic) = 2.2290861855658826190039446380057
y[1] (numeric) = 2.2290861855658826775254967605001
absolute error = 5.85215521224944e-17
relative error = 2.6253606747662805265348203058642e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.727
Order of pole = 2.186
x[1] = 0.704
y[1] (analytic) = 2.2296927702012034446368091736746
y[1] (numeric) = 2.2296927702012035027926008411302
absolute error = 5.81557916674556e-17
relative error = 2.6082423751236241617617274783765e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.728
Order of pole = 2.186
x[1] = 0.705
y[1] (analytic) = 2.2302999865081983229641033975605
y[1] (numeric) = 2.2302999865081983807538329873355
absolute error = 5.77897295897750e-17
relative error = 2.5911191292365894333650223826796e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.728
Order of pole = 2.186
x[1] = 0.706
y[1] (analytic) = 2.2309078337202104344212564617833
y[1] (numeric) = 2.230907833720210491844628537971
absolute error = 5.74233720761877e-17
relative error = 2.5739912338928771223878279414000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.728
Order of pole = 2.186
x[1] = 0.707
memory used=198.3MB, alloc=4.3MB, time=22.79
y[1] (analytic) = 2.2315163110707183314524087891728
y[1] (numeric) = 2.2315163110707183885091340846621
absolute error = 5.70567252954893e-17
relative error = 2.5568589847372678240039449429845e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.729
Order of pole = 2.185
x[1] = 0.708
y[1] (analytic) = 2.2321254177933386721257276993666
y[1] (numeric) = 2.2321254177933387288155230978299
absolute error = 5.66897953984633e-17
relative error = 2.5397226762690771261627056455619e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.729
Order of pole = 2.185
x[1] = 0.709
y[1] (analytic) = 2.2327351531218289462074608473797
y[1] (numeric) = 2.2327351531218290025300493651894
absolute error = 5.63225885178097e-17
relative error = 2.5225826018396757064435387261264e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.73
Order of pole = 2.185
x[1] = 0.71
y[1] (analytic) = 2.23334551629009019368887851885
y[1] (numeric) = 2.2333455162900902496439892869232
absolute error = 5.59551107680732e-17
relative error = 2.5054390536500025818893444574484e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.73
Order of pole = 2.185
x[1] = 0.711
y[1] (analytic) = 2.2339565065321697157603820572079
y[1] (numeric) = 2.2339565065321697713477503027812
absolute error = 5.55873682455733e-17
relative error = 2.4882923227481744811885621976696e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.73
Order of pole = 2.185
x[1] = 0.712
y[1] (analytic) = 2.2345681230822637782271815558824
y[1] (numeric) = 2.234568123082263833446548584217
absolute error = 5.52193670283346e-17
relative error = 2.4711426990271150775918924831562e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.731
Order of pole = 2.185
x[1] = 0.713
y[1] (analytic) = 2.2351803651747203073610714318809
y[1] (numeric) = 2.2351803651747203622121846079002
absolute error = 5.48511131760193e-17
relative error = 2.4539904712222935219847013810576e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.731
Order of pole = 2.185
x[1] = 0.714
y[1] (analytic) = 2.2357932320440415781829576042498
y[1] (numeric) = 2.235793232044041632665570334109
absolute error = 5.44826127298592e-17
relative error = 2.4368359269094513029664531332502e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.732
Order of pole = 2.185
x[1] = 0.715
y[1] (analytic) = 2.2364067229248868951709147306124
y[1] (numeric) = 2.2364067229248869492847864432007
absolute error = 5.41138717125883e-17
relative error = 2.4196793525023666407826674350130e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.732
Order of pole = 2.184
x[1] = 0.716
y[1] (analytic) = 2.2370208370520752653886763058054
y[1] (numeric) = 2.2370208370520753191335724341837
absolute error = 5.37448961283783e-17
relative error = 2.4025210332507591566933580179434e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.732
Order of pole = 2.184
x[1] = 0.717
y[1] (analytic) = 2.2376355736605880640295843972268
y[1] (numeric) = 2.2376355736605881174052763599995
absolute error = 5.33756919627727e-17
relative error = 2.3853612532381423790102716248014e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.733
Order of pole = 2.184
x[1] = 0.718
y[1] (analytic) = 2.2382509319855716923711493804878
y[1] (numeric) = 2.2382509319855717453774145631113
absolute error = 5.30062651826235e-17
relative error = 2.3682002953798028944095508146709e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.733
Order of pole = 2.184
memory used=202.1MB, alloc=4.3MB, time=23.29
x[1] = 0.719
y[1] (analytic) = 2.2388669112623402281354932450188
y[1] (numeric) = 2.2388669112623402807721149810461
absolute error = 5.26366217360273e-17
relative error = 2.3510384414207629686668599709695e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.734
Order of pole = 2.184
x[1] = 0.72
y[1] (analytic) = 2.239483510726378068251072861069
y[1] (numeric) = 2.2394835107263781205178404133327
absolute error = 5.22667675522637e-17
relative error = 2.3338759719338561595254123668008e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.734
Order of pole = 2.184
x[1] = 0.721
y[1] (analytic) = 2.2401007296133425640112020357766
y[1] (numeric) = 2.24010072961334261590791057751
absolute error = 5.18967085417334e-17
relative error = 2.3167131663177996343092705764131e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.734
Order of pole = 2.184
x[1] = 0.722
y[1] (analytic) = 2.2407185671590666486250132353725
y[1] (numeric) = 2.2407185671590667001514638312702
absolute error = 5.15264505958977e-17
relative error = 2.2995503027953390632076245970341e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.735
Order of pole = 2.184
x[1] = 0.723
y[1] (analytic) = 2.2413370225995614571566215118577
y[1] (numeric) = 2.241337022599561508312621099077
absolute error = 5.11559995872193e-17
relative error = 2.2823876584114614824430160340167e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.735
Order of pole = 2.183
x[1] = 0.724
y[1] (analytic) = 2.2419560951710189388483744444117
y[1] (numeric) = 2.2419560951710189896337358135142
absolute error = 5.07853613691025e-17
relative error = 2.2652255090315912440707936451793e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.736
Order of pole = 2.183
x[1] = 0.725
y[1] (analytic) = 2.242575784109814461824192787106
y[1] (numeric) = 2.2425757841098145122387345629421
absolute error = 5.04145417758361e-17
relative error = 2.2480641293399162324541825039141e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.736
Order of pole = 2.183
x[1] = 0.726
y[1] (analytic) = 2.2431960886525094101691270040153
y[1] (numeric) = 2.2431960886525094602126736265512
absolute error = 5.00435466225359e-17
relative error = 2.2309037928377058947471738931349e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.737
Order of pole = 2.183
x[1] = 0.727
y[1] (analytic) = 2.2438170080358537733813749693269
y[1] (numeric) = 2.2438170080358538230537566744152
absolute error = 4.96723817050883e-17
relative error = 2.2137447718416879459834206248200e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.737
Order of pole = 2.183
x[1] = 0.728
y[1] (analytic) = 2.244438541496788728193125812376
y[1] (numeric) = 2.2444385414967887774941786124711
absolute error = 4.93010528000951e-17
relative error = 2.1965873374824880848661876137503e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.737
Order of pole = 2.183
x[1] = 0.729
y[1] (analytic) = 2.2450606882724492127567141945198
y[1] (numeric) = 2.2450606882724492616862798593385
absolute error = 4.89295656648187e-17
relative error = 2.1794317597030969582466409171793e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.738
Order of pole = 2.183
x[1] = 0.73
y[1] (analytic) = 2.2456834476001664931926882152579
y[1] (numeric) = 2.2456834476001665417506142523864
absolute error = 4.85579260371285e-17
relative error = 2.1622783072573999388911665618476e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=206.0MB, alloc=4.3MB, time=23.78
Complex estimate of poles used
Radius of convergence = 1.738
Order of pole = 2.183
x[1] = 0.731
y[1] (analytic) = 2.2463068187174707224965126578881
y[1] (numeric) = 2.2463068187174707706826522933361
absolute error = 4.81861396354480e-17
relative error = 2.1451272477087473291635841781794e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.739
Order of pole = 2.183
x[1] = 0.732
y[1] (analytic) = 2.2469308008620934918007473991464
y[1] (numeric) = 2.2469308008620935396149595578489
absolute error = 4.78142121587025e-17
relative error = 2.1279788474285604545285428537158e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.739
Order of pole = 2.182
x[1] = 0.733
y[1] (analytic) = 2.2475553932719703739896585216206
y[1] (numeric) = 2.2475553932719704214318078078891
absolute error = 4.74421492862685e-17
relative error = 2.1108333715950225118644939615887e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.739
Order of pole = 2.182
x[1] = 0.734
y[1] (analytic) = 2.2481805951852434596633369811858
y[1] (numeric) = 2.2481805951852435067332936591082
absolute error = 4.70699566779224e-17
relative error = 2.0936910841917472471102962248316e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.74
Order of pole = 2.182
x[1] = 0.735
y[1] (analytic) = 2.2488064058402638854485165932113
y[1] (numeric) = 2.2488064058402639321461565670028
absolute error = 4.66976399737915e-17
relative error = 2.0765522480065589015223198690704e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.74
Order of pole = 2.182
x[1] = 0.736
y[1] (analytic) = 2.2494328244755943546533996098149
y[1] (numeric) = 2.2494328244755944009786044041204
absolute error = 4.63252047943055e-17
relative error = 2.0594171246303031815495954209776e-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] = 0.737
y[1] (analytic) = 2.2500598503300116502639142649487
y[1] (numeric) = 2.2500598503300116962165710050964
absolute error = 4.59526567401477e-17
relative error = 2.0422859744556536286174981045184e-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] = 0.738
y[1] (analytic) = 2.2506874826425091402789443635948
y[1] (numeric) = 2.2506874826425091858589457558038
absolute error = 4.55800013922090e-17
relative error = 2.0251590566760511247056166943335e-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] = 0.739
y[1] (analytic) = 2.2513157206522992753821862848454
y[1] (numeric) = 2.2513157206522993205894305963861
absolute error = 4.52072443115407e-17
relative error = 2.0080366292845985909860605918276e-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] = 0.74
y[1] (analytic) = 2.251944563598816078948403655149
y[1] (numeric) = 2.2519445635988161237827946944587
absolute error = 4.48343910393097e-17
relative error = 1.9909189490730708193778867850920e-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] = 0.741
y[1] (analytic) = 2.252574010721717629381964426595
y[1] (numeric) = 2.2525740107217176738434115233485
absolute error = 4.44614470967535e-17
relative error = 1.9738062716309237789613296419127e-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] = 0.742
y[1] (analytic) = 2.2532040612608885347856591648155
y[1] (numeric) = 2.253204061260888578874077149952
absolute error = 4.40884179851365e-17
relative error = 1.9566988513443699601320685737060e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=209.8MB, alloc=4.3MB, time=24.25
Complex estimate of poles used
Radius of convergence = 1.743
Order of pole = 2.182
x[1] = 0.743
y[1] (analytic) = 2.2538347144564423999579130110101
y[1] (numeric) = 2.2538347144564424436732221967171
absolute error = 4.37153091857070e-17
relative error = 1.9395969413954929958179771042975e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.744
Order of pole = 2.181
x[1] = 0.744
y[1] (analytic) = 2.2544659695487242857166170318221
y[1] (numeric) = 2.2544659695487243290587431914771
absolute error = 4.33421261596550e-17
relative error = 1.9225007937614059079876238619966e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.744
Order of pole = 2.181
x[1] = 0.745
y[1] (analytic) = 2.2550978257783131605479175084377
y[1] (numeric) = 2.2550978257783132035167918565085
absolute error = 4.29688743480708e-17
relative error = 1.9054106592134528832184415374549e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.745
Order of pole = 2.181
x[1] = 0.746
y[1] (analytic) = 2.2557302823860243445784141414657
y[1] (numeric) = 2.25573028238602438717397331337
absolute error = 4.25955591719043e-17
relative error = 1.8883267873164500478059836288506e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.745
Order of pole = 2.181
x[1] = 0.747
y[1] (analytic) = 2.2563633386129119458693301600302
y[1] (numeric) = 2.2563633386129119880915161919555
absolute error = 4.22221860319253e-17
relative error = 1.8712494264279784503576966743998e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.745
Order of pole = 2.181
x[1] = 0.748
y[1] (analytic) = 2.2569969937002712890313289212362
y[1] (numeric) = 2.2569969937002713308800892299207
absolute error = 4.18487603086845e-17
relative error = 1.8541788236977158458423375294018e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.746
Order of pole = 2.181
x[1] = 0.749
y[1] (analytic) = 2.257631246889641336158762768923
y[1] (numeric) = 2.2576312468896413776340501313983
absolute error = 4.14752873624753e-17
relative error = 1.8371152250668116224743088619351e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.746
Order of pole = 2.181
x[1] = 0.75
y[1] (analytic) = 2.2582660974228071000822506875989
y[1] (numeric) = 2.258266097422807141184023220895
absolute error = 4.11017725332961e-17
relative error = 1.8200588752672914900379313741613e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.747
Order of pole = 2.181
x[1] = 0.751
y[1] (analytic) = 2.2589015445418020499385916378638
y[1] (numeric) = 2.2589015445418020906668127786779
absolute error = 4.07282211408141e-17
relative error = 1.8030100178215361281299275094655e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.747
Order of pole = 2.181
x[1] = 0.752
y[1] (analytic) = 2.2595375874889105090571303927
y[1] (numeric) = 2.2595375874889105494117688770293
absolute error = 4.03546384843293e-17
relative error = 1.7859688950417761022910235682843e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.748
Order of pole = 2.181
x[1] = 0.753
y[1] (analytic) = 2.2601742255066700451618022089902
y[1] (numeric) = 2.2601742255066700851428320517294
absolute error = 3.99810298427392e-17
relative error = 1.7689357480296251253186039075500e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.748
Order of pole = 2.181
x[1] = 0.754
y[1] (analytic) = 2.2608114578378738528881917647599
y[1] (numeric) = 2.2608114578378738924955922392644
absolute error = 3.96074004745045e-17
relative error = 1.7519108166756648447555448237887e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=213.6MB, alloc=4.3MB, time=24.74
Complex estimate of poles used
Radius of convergence = 1.748
Order of pole = 2.181
x[1] = 0.755
y[1] (analytic) = 2.2614492837255731286150504692235
y[1] (numeric) = 2.2614492837255731678488060868394
absolute error = 3.92337556176159e-17
relative error = 1.7348943396590854636278904022079e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.749
Order of pole = 2.181
x[1] = 0.756
y[1] (analytic) = 2.2620877024130794376098245090223
y[1] (numeric) = 2.2620877024130794764699249985838
absolute error = 3.88601004895615e-17
relative error = 1.7178865544473599672181964649500e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.749
Order of pole = 2.181
x[1] = 0.757
y[1] (analytic) = 2.262726713143967073487853829389
y[1] (numeric) = 2.262726713143967111974294116683
absolute error = 3.84864402872940e-17
relative error = 1.7008876972959165201179168238599e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.75
Order of pole = 2.181
x[1] = 0.758
y[1] (analytic) = 2.2633663151620754099850096626783
y[1] (numeric) = 2.2633663151620754480977898498787
absolute error = 3.81127801872004e-17
relative error = 1.6838980032479283145780372214509e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.75
Order of pole = 2.181
x[1] = 0.759
y[1] (analytic) = 2.2640065077115112450436452081133
y[1] (numeric) = 2.264006507711511282782770553184
absolute error = 3.77391253450707e-17
relative error = 1.6669177061340660305457565416362e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.751
Order of pole = 2.181
x[1] = 0.76
y[1] (analytic) = 2.2646472900366511372118406350533
y[1] (numeric) = 2.2646472900366511745773215311224
absolute error = 3.73654808960691e-17
relative error = 1.6499470385723675163106807883049e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.751
Order of pole = 2.181
x[1] = 0.761
y[1] (analytic) = 2.2652886613821437343560297269769
y[1] (numeric) = 2.2652886613821437713478816816812
absolute error = 3.69918519547043e-17
relative error = 1.6329862319680743518115982200135e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.751
Order of pole = 2.18
x[1] = 0.762
y[1] (analytic) = 2.265930620992912094687201204067
y[1] (numeric) = 2.2659306209929121313054448188688
absolute error = 3.66182436148018e-17
relative error = 1.6160355165135633279935131923135e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.752
Order of pole = 2.18
x[1] = 0.763
y[1] (analytic) = 2.2665731681141560001009730581931
y[1] (numeric) = 2.2665731681141560363456340076692
absolute error = 3.62446609494761e-17
relative error = 1.5990951211882799881376541491583e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.752
Order of pole = 2.18
x[1] = 0.764
y[1] (analytic) = 2.2672163019913542618319431046228
y[1] (numeric) = 2.2672163019913542977030521157273
absolute error = 3.58711090111045e-17
relative error = 1.5821652737587491935277687521746e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.753
Order of pole = 2.18
x[1] = 0.765
y[1] (analytic) = 2.2678600218702670184228233993943
y[1] (numeric) = 2.2678600218702670539204162306947
absolute error = 3.54975928313004e-17
relative error = 1.5652462007785699467342838857906e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.753
Order of pole = 2.18
x[1] = 0.766
y[1] (analytic) = 2.2685043269969380260089701893876
y[1] (numeric) = 2.2685043269969380611330876102767
absolute error = 3.51241174208891e-17
relative error = 1.5483381275885267337539426546205e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=217.4MB, alloc=4.3MB, time=25.23
Complex estimate of poles used
Radius of convergence = 1.754
Order of pole = 2.18
x[1] = 0.767
y[1] (analytic) = 2.26914921661769694091902465322
y[1] (numeric) = 2.2691492166176969756697124231024
absolute error = 3.47506877698824e-17
relative error = 1.5314412783166540807983083883368e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.754
Order of pole = 2.18
x[1] = 0.768
y[1] (analytic) = 2.2697946899791615945924828546191
y[1] (numeric) = 2.2697946899791616289697917020745
absolute error = 3.43773088474554e-17
relative error = 1.5145558758784041958234960028231e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.754
Order of pole = 2.18
x[1] = 0.769
y[1] (analytic) = 2.2704407463282402608151160654119
y[1] (numeric) = 2.2704407463282402948191016673353
absolute error = 3.40039856019234e-17
relative error = 1.4976821419768249803509231417173e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.755
Order of pole = 2.18
x[1] = 0.77
y[1] (analytic) = 2.2710873849121339152732649221998
y[1] (numeric) = 2.2710873849121339489039878829193
absolute error = 3.36307229607195e-17
relative error = 1.4808202971027747933575446373453e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.755
Order of pole = 2.18
x[1] = 0.771
y[1] (analytic) = 2.2717346049783384874281327587036
y[1] (numeric) = 2.271734604978338520685658589077
absolute error = 3.32575258303734e-17
relative error = 1.4639705605351958868900870918056e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.756
Order of pole = 2.18
x[1] = 0.772
y[1] (analytic) = 2.2723824057746471047113049041934
y[1] (numeric) = 2.2723824057746471375957040006831
absolute error = 3.28843990964897e-17
relative error = 1.4471331503413715681169899731342e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.756
Order of pole = 2.18
x[1] = 0.773
y[1] (analytic) = 2.273030786549152329042821756917
y[1] (numeric) = 2.2730307865491523615541693806463
absolute error = 3.25113476237293e-17
relative error = 1.4303082833773254820025571849602e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.757
Order of pole = 2.18
x[1] = 0.774
y[1] (analytic) = 2.2736797465502483856732340295884
y[1] (numeric) = 2.2736797465502484178116102853769
absolute error = 3.21383762557885e-17
relative error = 1.4134961752881252131241962806769e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.757
Order of pole = 2.18
x[1] = 0.775
y[1] (analytic) = 2.274329285026633384351168721355
y[1] (numeric) = 2.2743292850266334161166585367361
absolute error = 3.17654898153811e-17
relative error = 1.3966970405083234158408165392084e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.758
Order of pole = 2.18
x[1] = 0.776
y[1] (analytic) = 2.2749794012273115328180340968562
y[1] (numeric) = 2.2749794012273115642107272010767
absolute error = 3.13926931042205e-17
relative error = 1.3799110922624043110908260948873e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.758
Order of pole = 2.18
x[1] = 0.777
y[1] (analytic) = 2.2756300944015953426315912476039
y[1] (numeric) = 2.2756300944015953736515821506059
absolute error = 3.10199909030020e-17
relative error = 1.3631385425652443098444024977456e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.758
Order of pole = 2.18
x[1] = 0.778
y[1] (analytic) = 2.2762813637991078273202186736003
y[1] (numeric) = 2.2762813637991078579676066449869
absolute error = 3.06473879713866e-17
relative error = 1.3463796022226438275853874881271e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=221.2MB, alloc=4.3MB, time=25.72
Complex estimate of poles used
Radius of convergence = 1.759
Order of pole = 2.18
x[1] = 0.779
y[1] (analytic) = 2.2769332086697846928697947534963
y[1] (numeric) = 2.2769332086697847231446838014811
absolute error = 3.02748890479848e-17
relative error = 1.3296344808318642509898958807621e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.759
Order of pole = 2.18
x[1] = 0.78
y[1] (analytic) = 2.2775856282638765205452209693419
y[1] (numeric) = 2.2775856282638765504477198196838
absolute error = 2.99024988503419e-17
relative error = 1.3129033867822358872400942016580e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.76
Order of pole = 2.18
x[1] = 0.781
y[1] (analytic) = 2.2782386218319509420487063167617
y[1] (numeric) = 2.2782386218319509715789283916848
absolute error = 2.95302220749231e-17
relative error = 1.2961865272557621160521655299617e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.76
Order of pole = 2.181
x[1] = 0.782
y[1] (analytic) = 2.2788921886248948070170304628834
y[1] (numeric) = 2.2788921886248948361750938599832
absolute error = 2.91580633970998e-17
relative error = 1.2794841082277811665865622640208e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.761
Order of pole = 2.181
x[1] = 0.783
y[1] (analytic) = 2.2795463278939163428600999122608
y[1] (numeric) = 2.2795463278939163716461273833977
absolute error = 2.87860274711369e-17
relative error = 1.2627963344676766110380151050745e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.761
Order of pole = 2.181
x[1] = 0.784
y[1] (analytic) = 2.280201038890547306943207705077
y[1] (numeric) = 2.2802010388905473353573266352567
absolute error = 2.84141189301797e-17
relative error = 1.2461234095395750598354229539318e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.762
Order of pole = 2.181
x[1] = 0.785
y[1] (analytic) = 2.2808563208666451311155030018105
y[1] (numeric) = 2.2808563208666451591578453880532
absolute error = 2.80423423862427e-17
relative error = 1.2294655358031319042147743004933e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.762
Order of pole = 2.181
x[1] = 0.786
y[1] (analytic) = 2.2815121730743950585872723040495
y[1] (numeric) = 2.2815121730743950862579747342478
absolute error = 2.76707024301983e-17
relative error = 1.2128229144143172486269090464791e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.763
Order of pole = 2.181
x[1] = 0.787
y[1] (analytic) = 2.2821685947663122731587290219924
y[1] (numeric) = 2.2821685947663123004579326537588
absolute error = 2.72992036317664e-17
relative error = 1.1961957453262458309231489012338e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.763
Order of pole = 2.181
x[1] = 0.788
y[1] (analytic) = 2.2828255851952440208031026251513
y[1] (numeric) = 2.2828255851952440477309531646564
absolute error = 2.69278505395051e-17
relative error = 1.1795842272900595831494362156549e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.763
Order of pole = 2.181
x[1] = 0.789
y[1] (analytic) = 2.2834831436143717236069127036652
y[1] (numeric) = 2.2834831436143717501635603844659
absolute error = 2.65566476808007e-17
relative error = 1.1629885578557838800630131658958e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.764
Order of pole = 2.181
x[1] = 0.79
y[1] (analytic) = 2.2841412692772130860704069232179
y[1] (numeric) = 2.2841412692772131122560064850781
absolute error = 2.61855995618602e-17
relative error = 1.1464089333732976047730192537562e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=225.0MB, alloc=4.3MB, time=26.21
Complex estimate of poles used
Radius of convergence = 1.764
Order of pole = 2.181
x[1] = 0.791
y[1] (analytic) = 2.2847999614376241937712350766702
y[1] (numeric) = 2.2847999614376242195859457443735
absolute error = 2.58147106677033e-17
relative error = 1.1298455489932854793740934246571e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.765
Order of pole = 2.181
x[1] = 0.792
y[1] (analytic) = 2.2854592193498016043945242199623
y[1] (numeric) = 2.2854592193498016298385096821177
absolute error = 2.54439854621554e-17
relative error = 1.1132985986682383082223243619841e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.765
Order of pole = 2.181
x[1] = 0.793
y[1] (analytic) = 2.286119042268284431132612228475
y[1] (numeric) = 2.2861190422682844562060406163156
absolute error = 2.50734283878406e-17
relative error = 1.0967682751534572744336374730030e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.766
Order of pole = 2.181
x[1] = 0.794
y[1] (analytic) = 2.2867794294479564184577890226954
y[1] (numeric) = 2.2867794294479564431608328888721
absolute error = 2.47030438661767e-17
relative error = 1.0802547700081497200686978215625e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.766
Order of pole = 2.181
x[1] = 0.795
y[1] (analytic) = 2.2874403801440480102714861885941
y[1] (numeric) = 2.2874403801440480346043224859637
absolute error = 2.43328362973696e-17
relative error = 1.0637582735965025402229686033770e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.767
Order of pole = 2.181
x[1] = 0.796
y[1] (analytic) = 2.2881018936121384104334467584471
y[1] (numeric) = 2.2881018936121384343962568188561
absolute error = 2.39628100604090e-17
relative error = 1.0472789750888162535639153604857e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.767
Order of pole = 2.181
x[1] = 0.797
y[1] (analytic) = 2.2887639691081576356744975218375
y[1] (numeric) = 2.2887639691081576592674670349018
absolute error = 2.35929695130643e-17
relative error = 1.0308170624626515446998059497140e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.768
Order of pole = 2.181
x[1] = 0.798
y[1] (analytic) = 2.2894266058883885608966364041359
y[1] (numeric) = 2.2894266058883885841199553960177
absolute error = 2.32233189918818e-17
relative error = 1.0143727225040362789187714998289e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.768
Order of pole = 2.181
x[1] = 0.799
y[1] (analytic) = 2.2900898032094689568642371808204
y[1] (numeric) = 2.290089803209468979718099993002
absolute error = 2.28538628121816e-17
relative error = 9.9794614080866297926488702444760e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.768
Order of pole = 2.182
x[1] = 0.8
y[1] (analytic) = 2.2907535603283935202902630904706
y[1] (numeric) = 2.2907535603283935427748683585266
absolute error = 2.24846052680560e-17
relative error = 9.8153750178315534059129399860719e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.769
Order of pole = 2.182
x[1] = 0.801
y[1] (analytic) = 2.2914178765025158963214697671162
y[1] (numeric) = 2.2914178765025159184370203994842
absolute error = 2.21155506323680e-17
relative error = 9.6514698864634252155865427270631e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.769
Order of pole = 2.182
x[1] = 0.802
y[1] (analytic) = 2.2920827509895506934266663337804
y[1] (numeric) = 2.2920827509895507151733694905313
absolute error = 2.17467031567509e-17
relative error = 9.4877478343058480552263203842452e-16 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=228.8MB, alloc=4.3MB, time=26.72
Complex estimate of poles used
Radius of convergence = 1.77
Order of pole = 2.182
x[1] = 0.803
y[1] (analytic) = 2.2927481830475754906921914835177
y[1] (numeric) = 2.2927481830475755120702585551251
absolute error = 2.13780670716074e-17
relative error = 9.3242106698308071898995075616916e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.77
Order of pole = 2.182
x[1] = 0.804
y[1] (analytic) = 2.2934141719350328375288489219693
y[1] (numeric) = 2.2934141719350328585384955080804
absolute error = 2.10096465861111e-17
relative error = 9.1608601896728207242969692545552e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.771
Order of pole = 2.182
x[1] = 0.805
y[1] (analytic) = 2.294080716910732245794633656464
y[1] (numeric) = 2.2940807169107322664360795446708
absolute error = 2.06414458882068e-17
relative error = 8.9976981786425975653345504444915e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.771
Order of pole = 2.182
x[1] = 0.806
y[1] (analytic) = 2.2947478172338521743376672909615
y[1] (numeric) = 2.2947478172338521946111364355745
absolute error = 2.02734691446130e-17
relative error = 8.8347264097416853624589346178258e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.772
Order of pole = 2.182
x[1] = 0.807
y[1] (analytic) = 2.2954154721639420059638467237156
y[1] (numeric) = 2.2954154721639420258695672245389
absolute error = 1.99057205008233e-17
relative error = 8.6719466441766685414858212752616e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.772
Order of pole = 2.182
x[1] = 0.808
y[1] (analytic) = 2.2960836809609240168337964454334
y[1] (numeric) = 2.2960836809609240363720005265439
absolute error = 1.95382040811105e-17
relative error = 8.5093606313745721155128701211485e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.773
Order of pole = 2.182
x[1] = 0.809
y[1] (analytic) = 2.2967524428850953382937999999948
y[1] (numeric) = 2.2967524428850953574647239885236
absolute error = 1.91709239885288e-17
relative error = 8.3469701089974657650320031224225e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.773
Order of pole = 2.182
x[1] = 0.81
y[1] (analytic) = 2.2974217571971299111454710975051
y[1] (numeric) = 2.297421757197129929949355402424
absolute error = 1.88038843049189e-17
relative error = 8.1847768029583588887755561162247e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.774
Order of pole = 2.183
x[1] = 0.811
y[1] (analytic) = 2.2980916231580804323590093606821
y[1] (numeric) = 2.2980916231580804507960984515946
absolute error = 1.84370890909125e-17
relative error = 8.0227824274368607648627760597346e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.774
Order of pole = 2.183
x[1] = 0.812
y[1] (analytic) = 2.2987620400293802942349697403815
y[1] (numeric) = 2.2987620400293803123055121263189
absolute error = 1.80705423859374e-17
relative error = 7.8609886848951280922752723492204e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.774
Order of pole = 2.183
x[1] = 0.813
y[1] (analytic) = 2.2994330070728455160195582545557
y[1] (numeric) = 2.2994330070728455337238064627789
absolute error = 1.77042482082232e-17
relative error = 7.6993972660940990976702106959967e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.775
Order of pole = 2.183
x[1] = 0.814
y[1] (analytic) = 2.3001045235506766679785498872168
y[1] (numeric) = 2.3001045235506766853167604420255
absolute error = 1.73382105548087e-17
relative error = 7.5380098501104916320151361215708e-16 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=232.7MB, alloc=4.3MB, time=27.21
Complex estimate of poles used
Radius of convergence = 1.775
Order of pole = 2.183
x[1] = 0.815
y[1] (analytic) = 2.3007765887254607879350072301631
y[1] (numeric) = 2.3007765887254608049074406317107
absolute error = 1.69724334015476e-17
relative error = 7.3768281043530857029717414295956e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.776
Order of pole = 2.183
x[1] = 0.816
y[1] (analytic) = 2.3014492018601732902760607604414
y[1] (numeric) = 2.3014492018601733068829814635585
absolute error = 1.66069207031171e-17
relative error = 7.2158536845802904141458542103661e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.776
Order of pole = 2.183
x[1] = 0.817
y[1] (analytic) = 2.3021223622181798674340935209258
y[1] (numeric) = 2.3021223622181798836757699139514
absolute error = 1.62416763930256e-17
relative error = 7.0550882349173418020818050319129e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.777
Order of pole = 2.183
x[1] = 0.818
y[1] (analytic) = 2.3027960690632383838477544101216
y[1] (numeric) = 2.3027960690632383997244587937432
absolute error = 1.58767043836216e-17
relative error = 6.8945333878740440264172009765567e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.777
Order of pole = 2.183
x[1] = 0.819
y[1] (analytic) = 2.3034703216595007624083052905387
y[1] (numeric) = 2.3034703216595007779203138566416
absolute error = 1.55120085661029e-17
relative error = 6.7341907643626618520255969678086e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.778
Order of pole = 2.183
x[1] = 0.82
y[1] (analytic) = 2.3041451192715148633968876928859
y[1] (numeric) = 2.3041451192715148785444805034127
absolute error = 1.51475928105268e-17
relative error = 6.5740619737162676780358441003601e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.778
Order of pole = 2.184
x[1] = 0.821
y[1] (analytic) = 2.3048204611642263559183750261162
y[1] (numeric) = 2.304820461164226370701835991936
absolute error = 1.47834609658198e-17
relative error = 6.4141486137068911359564767113258e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.779
Order of pole = 2.184
x[1] = 0.822
y[1] (analytic) = 2.305496346602980581837555901188
y[1] (numeric) = 2.3054963466029805962571727609774
absolute error = 1.44196168597894e-17
relative error = 6.2544522705645991645478562774607e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.779
Order of pole = 2.184
x[1] = 0.823
y[1] (analytic) = 2.3061727748535244122234734395335
y[1] (numeric) = 2.3061727748535244262795377386682
absolute error = 1.40560642991347e-17
relative error = 6.0949745189960734729222107445997e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.78
Order of pole = 2.184
x[1] = 0.824
y[1] (analytic) = 2.3068497451820080963078242658368
y[1] (numeric) = 2.3068497451820081100006313352964
absolute error = 1.36928070694596e-17
relative error = 5.9357169222043334524882336632510e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.78
Order of pole = 2.184
x[1] = 0.825
y[1] (analytic) = 2.3075272568549871029633992790879
y[1] (numeric) = 2.3075272568549871162932482143719
absolute error = 1.33298489352840e-17
relative error = 5.7766810319076084706432147817168e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.781
Order of pole = 2.184
x[1] = 0.826
y[1] (analytic) = 2.3082053091394239547086262562069
y[1] (numeric) = 2.308205309139423967675819896265
absolute error = 1.29671936400581e-17
relative error = 5.6178683883595705620406456029826e-16 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=236.5MB, alloc=4.3MB, time=27.70
Complex estimate of poles used
Radius of convergence = 1.781
Order of pole = 2.184
x[1] = 0.827
y[1] (analytic) = 2.3088839013026900542443518691134
y[1] (numeric) = 2.3088839013026900668491967752889
absolute error = 1.26048449061755e-17
relative error = 5.4592805203690621095262923274078e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.782
Order of pole = 2.184
x[1] = 0.828
y[1] (analytic) = 2.3095630326125675035290777891917
y[1] (numeric) = 2.3095630326125675157718842241792
absolute error = 1.22428064349875e-17
relative error = 5.3009189453203584682486015829879e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.782
Order of pole = 2.185
x[1] = 0.829
y[1] (analytic) = 2.3102427023372509153989422129687
y[1] (numeric) = 2.3102427023372509272800241197864
absolute error = 1.18810819068177e-17
relative error = 5.1427851691935746212301477278506e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.783
Order of pole = 2.185
x[1] = 0.83
y[1] (analytic) = 2.3109229097453492177388143697582
y[1] (numeric) = 2.3109229097453492292584893507358
absolute error = 1.15196749809776e-17
relative error = 4.9848806865855182362260964960256e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.783
Order of pole = 2.185
x[1] = 0.831
y[1] (analytic) = 2.3116036541058874502109453663402
y[1] (numeric) = 2.3116036541058874613695346621217
absolute error = 1.11585892957815e-17
relative error = 4.8272069807302525405897275310635e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.783
Order of pole = 2.185
x[1] = 0.832
y[1] (analytic) = 2.3122849346883085535476940857396
y[1] (numeric) = 2.3122849346883085643455225543037
absolute error = 1.07978284685641e-17
relative error = 4.6697655235208397751461889471452e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.784
Order of pole = 2.185
x[1] = 0.833
y[1] (analytic) = 2.3129667507624751514149217871803
y[1] (numeric) = 2.3129667507624751618523178828763
absolute error = 1.04373960956960e-17
relative error = 4.5125577755301872916392065743149e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.784
Order of pole = 2.185
x[1] = 0.834
y[1] (analytic) = 2.3136491015986713248527235526314
y[1] (numeric) = 2.3136491015986713349300193052332
absolute error = 1.00772957526018e-17
relative error = 4.3555851860330293215750308173889e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.785
Order of pole = 2.185
x[1] = 0.835
y[1] (analytic) = 2.3143319864676043793002387923991
y[1] (numeric) = 2.3143319864676043890177697861766
absolute error = 9.7175309937775e-18
relative error = 4.1988491930276159305171583588784e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.785
Order of pole = 2.185
x[1] = 0.836
y[1] (analytic) = 2.315015404640406604211356658281
y[1] (numeric) = 2.3150154046404066135694620110898
absolute error = 9.3581053528088e-18
relative error = 4.0423512232578006552581229475531e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.786
Order of pole = 2.185
x[1] = 0.837
y[1] (analytic) = 2.3156993553886370252682054182704
y[1] (numeric) = 2.3156993553886370342672277606607
absolute error = 8.9990223423903e-18
relative error = 3.8860926922355257538054086281730e-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] = 0.838
y[1] (analytic) = 2.3163838379842831491993876220422
y[1] (numeric) = 2.3163838379842831578396730763862
absolute error = 8.6402854543440e-18
relative error = 3.7300750042630132667663239667215e-16 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=240.3MB, alloc=4.3MB, time=28.19
Complex estimate of poles used
Radius of convergence = 1.787
Order of pole = 2.186
x[1] = 0.839
y[1] (analytic) = 2.3170688516997627012099952318536
y[1] (numeric) = 2.3170688516997627094918933914938
absolute error = 8.2818981596402e-18
relative error = 3.5742995524560001476795616764222e-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] = 0.84
y[1] (analytic) = 2.3177543958079253550305108094552
y[1] (numeric) = 2.3177543958079253629543747178715
absolute error = 7.9238639084163e-18
relative error = 3.4187677187660735196444619488021e-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] = 0.841
y[1] (analytic) = 2.3184404695820544555917723365195
y[1] (numeric) = 2.3184404695820544631579584665187
absolute error = 7.5661861299992e-18
relative error = 3.2634808740045662205644974181917e-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] = 0.842
y[1] (analytic) = 2.319127072295868734333250304393
y[1] (numeric) = 2.3191270722958687415421185373181
absolute error = 7.2088682329251e-18
relative error = 3.1084403778653357376920020666694e-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] = 0.843
y[1] (analytic) = 2.3198142032235240171519563390603
y[1] (numeric) = 2.3198142032235240240038699440222
absolute error = 6.8519136049619e-18
relative error = 2.9536475789486701525735262246420e-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] = 0.844
y[1] (analytic) = 2.3205018616396149249993728295395
y[1] (numeric) = 2.320501861639614931494698442671
absolute error = 6.4953256131315e-18
relative error = 2.7991038147851549701647641677428e-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] = 0.845
y[1] (analytic) = 2.3211900468191765671338628029268
y[1] (numeric) = 2.3211900468191765732729704066586
absolute error = 6.1391076037318e-18
relative error = 2.6448104118594144988389748631851e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.79
Order of pole = 2.187
x[1] = 0.846
y[1] (analytic) = 2.3218787580376862270360886374412
y[1] (numeric) = 2.3218787580376862328193515398017
absolute error = 5.7832629023605e-18
relative error = 2.4907686856346322307922992603747e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.791
Order of pole = 2.187
x[1] = 0.847
y[1] (analytic) = 2.3225679945710650409950371265545
y[1] (numeric) = 2.3225679945710650464228319404927
absolute error = 5.4277948139382e-18
relative error = 2.3369799405767719601280040254579e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.791
Order of pole = 2.187
x[1] = 0.848
y[1] (analytic) = 2.3232577556956796693723169030872
y[1] (numeric) = 2.3232577556956796744450235258199
absolute error = 5.0727066227327e-18
relative error = 2.1834454701793178248588991148937e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.792
Order of pole = 2.187
x[1] = 0.849
y[1] (analytic) = 2.323948040688343960552462302506
y[1] (numeric) = 2.3239480406883439652704638948894
absolute error = 4.7180015923834e-18
relative error = 2.0301665569880586106312788183946e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.792
Order of pole = 2.187
x[1] = 0.85
y[1] (analytic) = 2.3246388488263206075870453900549
y[1] (numeric) = 2.3246388488263206119507283559811
absolute error = 4.3636829659262e-18
relative error = 1.8771444726260880412039586790192e-16 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=244.1MB, alloc=4.3MB, time=28.69
Complex estimate of poles used
Radius of convergence = 1.793
Order of pole = 2.187
x[1] = 0.851
y[1] (analytic) = 2.3253301793873227975404650972957
y[1] (numeric) = 2.3253301793873228015502190631145
absolute error = 4.0097539658188e-18
relative error = 1.7243804778189773493267812487544e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.793
Order of pole = 2.187
x[1] = 0.852
y[1] (analytic) = 2.3260220316495158535453492106362
y[1] (numeric) = 2.3260220316495158572015670046029
absolute error = 3.6562177939667e-18
relative error = 1.5718758224202484922781088383814e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.794
Order of pole = 2.187
x[1] = 0.853
y[1] (analytic) = 2.3267144048915188695755713280042
y[1] (numeric) = 2.3267144048915188728786489597536
absolute error = 3.3030776317494e-18
relative error = 1.4196317454369322377283357083617e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.794
Order of pole = 2.187
x[1] = 0.854
y[1] (analytic) = 2.327407298392406337944950850514
y[1] (numeric) = 2.3274072983924063408952874905613
absolute error = 2.9503366400473e-18
relative error = 1.2676494750554255208387943921383e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.795
Order of pole = 2.188
x[1] = 0.855
y[1] (analytic) = 2.3281007114317097695397696043065
y[1] (numeric) = 2.3281007114317097721377675635747
absolute error = 2.5979979592682e-18
relative error = 1.1159302286671747071854365372929e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.795
Order of pole = 2.188
x[1] = 0.856
y[1] (analytic) = 2.3287946432894193067933037942707
y[1] (numeric) = 2.3287946432894193090393685036464
absolute error = 2.2460647093757e-18
relative error = 9.6447521289517250597031499470948e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.796
Order of pole = 2.188
x[1] = 0.857
y[1] (analytic) = 2.3294890932459853294106346766376
y[1] (numeric) = 2.3294890932459853313051746665543
absolute error = 1.8945399899167e-18
relative error = 8.1328562362006460271024113296067e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.796
Order of pole = 2.188
x[1] = 0.858
y[1] (analytic) = 2.3301840605823200528520656020278
y[1] (numeric) = 2.3301840605823200543954924820778
absolute error = 1.5434268800500e-18
relative error = 6.6236264600672487175546551185284e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.796
Order of pole = 2.188
x[1] = 0.859
y[1] (analytic) = 2.3308795445797991195835369250239
y[1] (numeric) = 2.3308795445797991207762653635989
absolute error = 1.1927284385750e-18
relative error = 5.1170745453086891408176065351499e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.797
Order of pole = 2.188
x[1] = 0.86
y[1] (analytic) = 2.3315755445202631831024937012946
y[1] (numeric) = 2.3315755445202631839449414052556
absolute error = 8.424477039610e-19
relative error = 3.6132121300592003275836637332495e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.797
Order of pole = 2.188
x[1] = 0.861
y[1] (analytic) = 2.3322720596860194847477240993234
y[1] (numeric) = 2.3322720596860194852403117937006
absolute error = 4.925876943772e-19
relative error = 2.1120507461016974072484342579440e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.798
Order of pole = 2.188
x[1] = 0.862
y[1] (analytic) = 2.332969089359843423301749041483
y[1] (numeric) = 2.3329690893598434234449004492052
memory used=247.9MB, alloc=4.4MB, time=29.19
absolute error = 1.431514077222e-19
relative error = 6.1360181913717564084600610414212e-18 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.798
Order of pole = 2.188
x[1] = 0.863
y[1] (analytic) = 2.3336666328249801173944057591593
y[1] (numeric) = 2.3336666328249801171885475808142
absolute error = 2.058581783451e-19
relative error = 8.8212333093995483365372634738265e-18 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.799
Order of pole = 2.188
x[1] = 0.864
y[1] (analytic) = 2.3343646893651459607163296994842
y[1] (numeric) = 2.3343646893651459601618915931097
absolute error = 5.544381063745e-19
relative error = 2.3751134897661814755839177094401e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.799
Order of pole = 2.188
x[1] = 0.865
y[1] (analytic) = 2.3350632582645301700511005576071
y[1] (numeric) = 2.3350632582645301691485151185133
absolute error = 9.025854390938e-19
relative error = 3.8653575482345653483179449275835e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.8
Order of pole = 2.189
x[1] = 0.866
y[1] (analytic) = 2.3357623388077963261348791289566
y[1] (numeric) = 2.3357623388077963248845818695801
absolute error = 1.2502972593765e-18
relative error = 5.3528445022136459658681811136422e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.8
Order of pole = 2.189
x[1] = 0.867
y[1] (analytic) = 2.3364619302800839073524221812586
y[1] (numeric) = 2.3364619302800839057548515110487
absolute error = 1.5975706702099e-18
relative error = 6.8375634522681516627658551424724e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.801
Order of pole = 2.189
x[1] = 0.868
y[1] (analytic) = 2.3371620319670098162784226368368
y[1] (numeric) = 2.3371620319670098143340198421742
absolute error = 1.9444027946626e-18
relative error = 8.3195036033772355721495564208751e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.801
Order of pole = 2.189
x[1] = 0.869
y[1] (analytic) = 2.3378626431546698990731820325778
y[1] (numeric) = 2.3378626431546698967823912567257
absolute error = 2.2907907758521e-18
relative error = 9.7986542646532391397782725923018e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.802
Order of pole = 2.189
x[1] = 0.87
y[1] (analytic) = 2.3385637631296404577416814885723
y[1] (numeric) = 2.3385637631296404551049497116616
absolute error = 2.6367317769107e-18
relative error = 1.1275004849053287588433847377450e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.802
Order of pole = 2.189
x[1] = 0.871
y[1] (analytic) = 2.3392653911789797552651762675156
y[1] (numeric) = 2.3392653911789797522829532865629
absolute error = 2.9822229809527e-18
relative error = 1.2748544873096559465418116019925e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.803
Order of pole = 2.189
x[1] = 0.872
y[1] (analytic) = 2.3399675265902295136144974461399
y[1] (numeric) = 2.3399675265902295102872358551002
absolute error = 3.3272615910397e-18
relative error = 1.4219263956573545521484062548852e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.803
Order of pole = 2.189
x[1] = 0.873
y[1] (analytic) = 2.3406701686514164046543022479666
y[1] (numeric) = 2.3406701686514164009824574178197
absolute error = 3.6718448301469e-18
relative error = 1.5687151822259705905166813115747e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.804
Order of pole = 2.189
memory used=251.7MB, alloc=4.4MB, time=29.68
x[1] = 0.874
y[1] (analytic) = 2.3413733166510535339475722041828
y[1] (numeric) = 2.3413733166510535299316022630549
absolute error = 4.0159699411279e-18
relative error = 1.7152198295622841498491402582186e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.804
Order of pole = 2.189
x[1] = 0.875
y[1] (analytic) = 2.3420769698781419174697155171892
y[1] (numeric) = 2.3420769698781419131100813305095
absolute error = 4.3596341866797e-18
relative error = 1.8614393304531453667619970994778e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.805
Order of pole = 2.189
x[1] = 0.876
y[1] (analytic) = 2.3427811276221719512416868000383
y[1] (numeric) = 2.3427811276221719465388519507309
absolute error = 4.7028348493074e-18
relative error = 2.0073726878961958693900449237491e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.805
Order of pole = 2.189
x[1] = 0.877
y[1] (analytic) = 2.3434857891731248738915937553005
y[1] (numeric) = 2.3434857891731248688460245240124
absolute error = 5.0455692312881e-18
relative error = 2.1530189150702628271163989304048e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.806
Order of pole = 2.189
x[1] = 0.878
y[1] (analytic) = 2.3441909538214742221543163396042
y[1] (numeric) = 2.3441909538214742167664816849692
absolute error = 5.3878346546350e-18
relative error = 2.2983770353058531374277429142380e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.806
Order of pole = 2.19
x[1] = 0.879
y[1] (analytic) = 2.3448966208581872793187195359093
y[1] (numeric) = 2.3448966208581872735890910748487
absolute error = 5.7296284610606e-18
relative error = 2.4434460820552786905714400542143e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.807
Order of pole = 2.19
x[1] = 0.88
y[1] (analytic) = 2.3456027895747265166320960252537
y[1] (numeric) = 2.3456027895747265105611480133136
absolute error = 6.0709480119401e-18
relative error = 2.5882250988628827063825481591338e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.807
Order of pole = 2.19
x[1] = 0.881
y[1] (analytic) = 2.3463094592630510276715298139946
y[1] (numeric) = 2.3463094592630510212597391257209
absolute error = 6.4117906882737e-18
relative error = 2.7327131393348131237988095946101e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.808
Order of pole = 2.19
x[1] = 0.882
y[1] (analytic) = 2.3470166292156179556919262322209
y[1] (numeric) = 2.347016629215617948939772341571
absolute error = 6.7521538906499e-18
relative error = 2.8769092671092390053597477661611e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.808
Order of pole = 2.19
x[1] = 0.883
y[1] (analytic) = 2.3477242987253839139605076747892
y[1] (numeric) = 2.3477242987253839068684726355827
absolute error = 7.0920350392065e-18
relative error = 3.0208125558256036607728540989830e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.809
Order of pole = 2.19
x[1] = 0.884
y[1] (analytic) = 2.3484324670858063990876280091243
y[1] (numeric) = 2.3484324670858063916561964355311
absolute error = 7.4314315735932e-18
relative error = 3.1644220890945774577138160176146e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.809
Order of pole = 2.19
x[1] = 0.885
y[1] (analytic) = 2.3491411335908451973638117242833
y[1] (numeric) = 2.3491411335908451895934707713506
absolute error = 7.7703409529327e-18
relative error = 3.3077369604673894672998646825253e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.81
Order of pole = 2.19
memory used=255.5MB, alloc=4.4MB, time=30.18
x[1] = 0.886
y[1] (analytic) = 2.3498502975349637841129766446132
y[1] (numeric) = 2.3498502975349637760042159888316
absolute error = 8.1087606557816e-18
relative error = 3.4507562734050927355427264310429e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.81
Order of pole = 2.19
x[1] = 0.887
y[1] (analytic) = 2.350559958213130716071851379419
y[1] (numeric) = 2.3505599582131307076251631993275
absolute error = 8.4466881800915e-18
relative error = 3.5934791412479337476387685123806e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.811
Order of pole = 2.19
x[1] = 0.888
y[1] (analytic) = 2.3512701149208210168056506282007
y[1] (numeric) = 2.3512701149208210080215295850312
absolute error = 8.7841210431695e-18
relative error = 3.7359046871844858770904215971725e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.811
Order of pole = 2.19
x[1] = 0.889
y[1] (analytic) = 2.351980766954017555170123010024
y[1] (numeric) = 2.3519807669540175460490662283862
absolute error = 9.1210567816378e-18
relative error = 3.8780320442204200194983399484113e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.812
Order of pole = 2.19
x[1] = 0.89
y[1] (analytic) = 2.3526919136092124168301372362727
y[1] (numeric) = 2.3526919136092124073726442848785
absolute error = 9.4574929513942e-18
relative error = 4.0198603551476785127712677996606e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.812
Order of pole = 2.19
x[1] = 0.891
y[1] (analytic) = 2.3534035541834082688450231992019
y[1] (numeric) = 2.353403554183408259051596071631
absolute error = 9.7934271275709e-18
relative error = 4.1613887725129469610898209498578e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.813
Order of pole = 2.19
x[1] = 0.892
y[1] (analytic) = 2.3541156879741197173309349052099
y[1] (numeric) = 2.3541156879741197072020780007156
absolute error = 1.01288569044943e-17
relative error = 4.3026164585865726281863138026633e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.813
Order of pole = 2.19
x[1] = 0.893
y[1] (analytic) = 2.3548283142793746582105521423889
y[1] (numeric) = 2.3548283142793746477467722467455
absolute error = 1.04637798956434e-17
relative error = 4.4435425853309095250581159452927e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.814
Order of pole = 2.19
x[1] = 0.894
y[1] (analytic) = 2.3555414323977156210604873375547
y[1] (numeric) = 2.3555414323977156102622936039458
absolute error = 1.07981937336089e-17
relative error = 4.5841663343689831728172557984582e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.814
Order of pole = 2.19
x[1] = 0.895
y[1] (analytic) = 2.3562550416282011060668132294219
y[1] (numeric) = 2.356255041628201094934717159371
absolute error = 1.11320960700509e-17
relative error = 4.7244868969525833709340893331059e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.815
Order of pole = 2.19
x[1] = 0.896
y[1] (analytic) = 2.3569691412704069140991757627505
y[1] (numeric) = 2.3569691412704069026336911870933
absolute error = 1.14654845756572e-17
relative error = 4.8645034739306349819493443686292e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.815
Order of pole = 2.19
x[1] = 0.897
y[1] (analytic) = 2.3576837306244274699140049939873
y[1] (numeric) = 2.3576837306244274581156480538863
absolute error = 1.17983569401010e-17
relative error = 5.0042152757173374210283955608308e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.816
Order of pole = 2.19
memory used=259.4MB, alloc=4.4MB, time=30.68
x[1] = 0.898
y[1] (analytic) = 2.3583988089908771384973847930279
y[1] (numeric) = 2.3583988089908771263666739210299
absolute error = 1.21307108719980e-17
relative error = 5.1436215222600735916371680347228e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.816
Order of pole = 2.19
x[1] = 0.899
y[1] (analytic) = 2.3591143756708915345581897291085
y[1] (numeric) = 2.3591143756708915220956456302443
absolute error = 1.24625440988642e-17
relative error = 5.2827214430076400617317038450231e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.817
Order of pole = 2.19
x[1] = 0.9
y[1] (analytic) = 2.3598304299661288251821447423615
y[1] (numeric) = 2.3598304299661288123882903752897
absolute error = 1.27938543670718e-17
relative error = 5.4215142768776962749182035859049e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.817
Order of pole = 2.19
x[1] = 0.901
y[1] (analytic) = 2.3605469711787710256575100271344
y[1] (numeric) = 2.3605469711787710125328705853281
absolute error = 1.31246394418063e-17
relative error = 5.5599992722247479596750513059520e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.818
Order of pole = 2.19
x[1] = 0.902
y[1] (analytic) = 2.3612639986115252884831399896484
y[1] (numeric) = 2.3612639986115252750282428826254
absolute error = 1.34548971070230e-17
relative error = 5.6981756868079015488793234301905e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.818
Order of pole = 2.19
x[1] = 0.903
y[1] (analytic) = 2.3619815115676251855697111918638
y[1] (numeric) = 2.3619815115676251717850860264618
absolute error = 1.37846251654020e-17
relative error = 5.8360427877580093088231143814681e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.819
Order of pole = 2.19
x[1] = 0.904
y[1] (analytic) = 2.3626995093508319836449598564241
y[1] (numeric) = 2.3626995093508319695311384181187
absolute error = 1.41138214383054e-17
relative error = 5.9735998515457727276232141613877e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.819
Order of pole = 2.19
x[1] = 0.905
y[1] (analytic) = 2.3634179912654359128738147851583
y[1] (numeric) = 2.3634179912654358984313310194271
absolute error = 1.44424837657312e-17
relative error = 6.1108461639484752361102286399611e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.82
Order of pole = 2.19
x[1] = 0.906
y[1] (analytic) = 2.3641369566162574287043564367689
y[1] (numeric) = 2.3641369566162574139337464304993
absolute error = 1.47706100062696e-17
relative error = 6.2477810200177584523559111796456e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.82
Order of pole = 2.19
x[1] = 0.907
y[1] (analytic) = 2.3648564047086484669505774189026
y[1] (numeric) = 2.3648564047086484518523793818451
absolute error = 1.50981980370575e-17
relative error = 6.3844037240466639718056954170677e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.821
Order of pole = 2.19
x[1] = 0.908
y[1] (analytic) = 2.3655763348484936921229637767451
y[1] (numeric) = 2.3655763348484936766977180230121
absolute error = 1.54252457537330e-17
relative error = 6.5207135895367034269364728814230e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.821
Order of pole = 2.19
x[1] = 0.909
y[1] (analytic) = 2.3662967463422117390179602055036
y[1] (numeric) = 2.3662967463422117232662091351133
absolute error = 1.57517510703903e-17
relative error = 6.6567099391651260444154632369600e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.822
Order of pole = 2.19
memory used=263.2MB, alloc=4.4MB, time=31.18
x[1] = 0.91
y[1] (analytic) = 2.3670176384967564475774256785816
y[1] (numeric) = 2.3670176384967564314997137590482
absolute error = 1.60777119195334e-17
relative error = 6.7923921047517075694433791584369e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.822
Order of pole = 2.19
x[1] = 0.911
y[1] (analytic) = 2.3677390106196180910292289678517
y[1] (numeric) = 2.3677390106196180746261027158216
absolute error = 1.64031262520301e-17
relative error = 6.9277594272256953390283796398240e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.823
Order of pole = 2.19
x[1] = 0.912
y[1] (analytic) = 2.3684608620188245973201761381224
y[1] (numeric) = 2.3684608620188245805921841010565
absolute error = 1.67279920370659e-17
relative error = 7.0628112565927405314862384388203e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.823
Order of pole = 2.19
x[1] = 0.913
y[1] (analytic) = 2.3691831920029427638525043256345
y[1] (numeric) = 2.3691831920029427468001970635375
absolute error = 1.70523072620970e-17
relative error = 7.1975469519014801954593816120498e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.824
Order of pole = 2.19
x[1] = 0.914
y[1] (analytic) = 2.3699059998810794655352179611584
y[1] (numeric) = 2.3699059998810794481591480283543
absolute error = 1.73760699328041e-17
relative error = 7.3319658812104873785167419199072e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.824
Order of pole = 2.19
x[1] = 0.915
y[1] (analytic) = 2.3706292849628828561615850729481
y[1] (numeric) = 2.3706292849628828384623069999036
absolute error = 1.76992780730445e-17
relative error = 7.4660674215545342419041040836389e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.825
Order of pole = 2.19
x[1] = 0.916
y[1] (analytic) = 2.3713530465585435631241524044172
y[1] (numeric) = 2.3713530465585435451022226796116
absolute error = 1.80219297248056e-17
relative error = 7.5998509589114771424874865239618e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.825
Order of pole = 2.19
x[1] = 0.917
y[1] (analytic) = 2.3720772839787958754786788068832
y[1] (numeric) = 2.3720772839787958571346558587265
absolute error = 1.83440229481567e-17
relative error = 7.7333158881684557260215453982115e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.826
Order of pole = 2.19
x[1] = 0.918
y[1] (analytic) = 2.3728019965349189253684267200753
y[1] (numeric) = 2.3728019965349189067028708988733
absolute error = 1.86655558212020e-17
relative error = 7.8664616130886299235373070298404e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.826
Order of pole = 2.19
x[1] = 0.919
y[1] (analytic) = 2.3735271835387378628202915332694
y[1] (numeric) = 2.3735271835387378438337650932378
absolute error = 1.89865264400316e-17
relative error = 7.9992875462771057394853093401304e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.827
Order of pole = 2.19
x[1] = 0.92
y[1] (analytic) = 2.3742528443026250239242882289088
y[1] (numeric) = 2.3742528443026250046173553102344
absolute error = 1.93069329186744e-17
relative error = 8.1317931091476944297162719591559e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.827
Order of pole = 2.19
x[1] = 0.921
y[1] (analytic) = 2.3749789781395010924079539493501
y[1] (numeric) = 2.3749789781395010727811805603012
absolute error = 1.96267733890489e-17
relative error = 8.2639777318888193033793262196709e-16 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=267.0MB, alloc=4.4MB, time=31.67
Complex estimate of poles used
Radius of convergence = 1.828
Order of pole = 2.19
x[1] = 0.922
y[1] (analytic) = 2.3757055843628362546172639969596
y[1] (numeric) = 2.3757055843628362346712179960448
absolute error = 1.99460460009148e-17
relative error = 8.3958408534297929024773132865796e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.828
Order of pole = 2.19
x[1] = 0.923
y[1] (analytic) = 2.3764326622866513479156972791448
y[1] (numeric) = 2.3764326622866513276509483573207
absolute error = 2.02647489218241e-17
relative error = 8.5273819214069169690770555029663e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.829
Order of pole = 2.189
x[1] = 0.924
y[1] (analytic) = 2.3771602112255190025131253440597
y[1] (numeric) = 2.3771602112255189819302450069874
absolute error = 2.05828803370723e-17
relative error = 8.6586003921296582211753852706869e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.829
Order of pole = 2.189
x[1] = 0.925
y[1] (analytic) = 2.3778882304945647767362369206606
y[1] (numeric) = 2.377888230494564755835798471012
absolute error = 2.09004384496486e-17
relative error = 8.7894957305464374187167718768671e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.83
Order of pole = 2.189
x[1] = 0.926
y[1] (analytic) = 2.3786167194094682857522472795308
y[1] (numeric) = 2.3786167194094682645348257993441
absolute error = 2.12174214801867e-17
relative error = 8.9200674102107054468856335779675e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.83
Order of pole = 2.189
x[1] = 0.927
y[1] (analytic) = 2.3793456772864643237576787694416
y[1] (numeric) = 2.3793456772864643022238511025264
absolute error = 2.15338276669152e-17
relative error = 9.0503149132468857565594894740303e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.831
Order of pole = 2.189
x[1] = 0.928
y[1] (analytic) = 2.3800751034423439796440355599974
y[1] (numeric) = 2.3800751034423439577943802943896
absolute error = 2.18496552656078e-17
relative error = 9.1802377303162677166551469372822e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.831
Order of pole = 2.189
x[1] = 0.929
y[1] (analytic) = 2.3808049971944557461522319339397
y[1] (numeric) = 2.3808049971944557239873293844069
absolute error = 2.21649025495328e-17
relative error = 9.3098353605826412075543326271559e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.832
Order of pole = 2.189
x[1] = 0.93
y[1] (analytic) = 2.3815353578607066225276694247942
y[1] (numeric) = 2.3815353578607066000481016153909
absolute error = 2.24795678094033e-17
relative error = 9.4391073116782611034269748232469e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.832
Order of pole = 2.189
x[1] = 0.931
y[1] (analytic) = 2.3822661847595632106878936875485
y[1] (numeric) = 2.3822661847595631878942443342223
absolute error = 2.27936493533262e-17
relative error = 9.5680530996693436116805073611067e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.833
Order of pole = 2.189
x[1] = 0.932
y[1] (analytic) = 2.3829974772100528049147972230008
y[1] (numeric) = 2.3829974772100527818076517162487
absolute error = 2.31071455067521e-17
relative error = 9.6966722490219769526652581670841e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.833
Order of pole = 2.189
x[1] = 0.933
y[1] (analytic) = 2.383729234531764475083368951339
y[1] (numeric) = 2.3837292345317644516633143389148
absolute error = 2.34200546124242e-17
relative error = 9.8249642925676486544486121536018e-16 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=270.8MB, alloc=4.4MB, time=32.15
Complex estimate of poles used
Radius of convergence = 1.834
Order of pole = 2.189
x[1] = 0.934
y[1] (analytic) = 2.3844614560448501434390261484531
y[1] (numeric) = 2.3844614560448501197066511181261
absolute error = 2.37323750303270e-17
relative error = 9.9529287714687260253877709706907e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.834
Order of pole = 2.189
x[1] = 0.935
y[1] (analytic) = 2.3851941410700256549355984204847
y[1] (numeric) = 2.3851941410700256308914932828489
absolute error = 2.40441051376358e-17
relative error = 1.0080565235184309392149053586261e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.835
Order of pole = 2.189
x[1] = 0.936
y[1] (analytic) = 2.3859272889285718411460671992286
y[1] (numeric) = 2.3859272889285718167908238705641
absolute error = 2.43552433286645e-17
relative error = 1.0207873241435409724026195326165e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.835
Order of pole = 2.188
x[1] = 0.937
y[1] (analytic) = 2.3866608989423355777581976942831
y[1] (numeric) = 2.3866608989423355530924096794683
absolute error = 2.46657880148148e-17
relative error = 1.0334852356170751214068017306145e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.836
Order of pole = 2.188
x[1] = 0.938
y[1] (analytic) = 2.3873949704337308356672333383358
y[1] (numeric) = 2.3873949704337308106914957138118
absolute error = 2.49757376245240e-17
relative error = 1.0461502153532024878402920336362e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.836
Order of pole = 2.188
x[1] = 0.939
y[1] (analytic) = 2.3881295027257397256778555107527
y[1] (numeric) = 2.3881295027257397003927649075397
absolute error = 2.52850906032130e-17
relative error = 1.0587822215819264565814748955955e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.837
Order of pole = 2.188
x[1] = 0.94
y[1] (analytic) = 2.3888644951419135368276437227556
y[1] (numeric) = 2.3888644951419135112337983095208
absolute error = 2.55938454132348e-17
relative error = 1.0713812133456470927721778940638e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.837
Order of pole = 2.188
x[1] = 0.941
y[1] (analytic) = 2.3895999470063737683443034959993
y[1] (numeric) = 2.3895999470063737424423029621774
absolute error = 2.59020005338219e-17
relative error = 1.0839471504956813476047807464629e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.838
Order of pole = 2.188
x[1] = 0.942
y[1] (analytic) = 2.3903358576438131552489608663726
y[1] (numeric) = 2.390335857643813129039406405339
absolute error = 2.62095544610336e-17
relative error = 1.0964799936887830217558686379459e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.838
Order of pole = 2.188
x[1] = 0.943
y[1] (analytic) = 2.3910722263794966876178537974082
y[1] (numeric) = 2.3910722263794966611013480897039
absolute error = 2.65165057077043e-17
relative error = 1.1089797043837085143537424537953e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.839
Order of pole = 2.188
x[1] = 0.944
y[1] (analytic) = 2.3918090525392626235147817938766
y[1] (numeric) = 2.3918090525392625966919289904867
absolute error = 2.68228528033899e-17
relative error = 1.1214462448377070344317844757672e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.839
Order of pole = 2.188
x[1] = 0.945
y[1] (analytic) = 2.3925463354495234956067056670498
y[1] (numeric) = 2.392546335449523468478111372734
absolute error = 2.71285942943158e-17
relative error = 1.1338795781030817480297810226391e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=274.6MB, alloc=4.4MB, time=32.65
Complex estimate of poles used
Radius of convergence = 1.84
Order of pole = 2.188
x[1] = 0.946
y[1] (analytic) = 2.3932840744372671114749197198106
y[1] (numeric) = 2.3932840744372670840411909764874
absolute error = 2.74337287433232e-17
relative error = 1.1462796680236838448208609383975e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.84
Order of pole = 2.187
x[1] = 0.947
y[1] (analytic) = 2.3940222688300575476342485933702
y[1] (numeric) = 2.3940222688300575198959938635539
absolute error = 2.77382547298163e-17
relative error = 1.1586464792314482953147233144566e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.841
Order of pole = 2.187
x[1] = 0.948
y[1] (analytic) = 2.3947609179560361372727506489011
y[1] (numeric) = 2.3947609179560361092305797991923
absolute error = 2.80421708497088e-17
relative error = 1.1709799771429044187247205746620e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.841
Order of pole = 2.187
x[1] = 0.949
y[1] (analytic) = 2.3955000211439224517244390480073
y[1] (numeric) = 2.3955000211439224233789633326366
absolute error = 2.83454757153707e-17
relative error = 1.1832801279557030832135431082985e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.842
Order of pole = 2.187
x[1] = 0.95
y[1] (analytic) = 2.3962395777230152756875606467251
y[1] (numeric) = 2.3962395777230152470393926911502
absolute error = 2.86481679555749e-17
relative error = 1.1955468986451396589543417858527e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.842
Order of pole = 2.187
x[1] = 0.951
y[1] (analytic) = 2.3969795870231935762010014297762
y[1] (numeric) = 2.3969795870231935472507552143334
absolute error = 2.89502462154428e-17
relative error = 1.2077802569606393801033727047023e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.843
Order of pole = 2.187
x[1] = 0.952
y[1] (analytic) = 2.3977200483749174653914154861844
y[1] (numeric) = 2.3977200483749174361397063297934
absolute error = 2.92517091563910e-17
relative error = 1.2199801714222928023424398569009e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.843
Order of pole = 2.187
x[1] = 0.953
y[1] (analytic) = 2.3984609611092291570037024652167
y[1] (numeric) = 2.3984609611092291274511470091392
absolute error = 2.95525554560775e-17
relative error = 1.2321466113173745604862628144876e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.844
Order of pole = 2.187
x[1] = 0.954
y[1] (analytic) = 2.3992023245577539167274860540313
y[1] (numeric) = 2.3992023245577538868747022456843
absolute error = 2.98527838083470e-17
relative error = 1.2442795466968288120605967067883e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.845
Order of pole = 2.187
x[1] = 0.955
y[1] (analytic) = 2.3999441380527010063322732865179
y[1] (numeric) = 2.3999441380527009761798803633409
absolute error = 3.01523929231770e-17
relative error = 1.2563789483717922958947319138375e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.845
Order of pole = 2.186
x[1] = 0.956
y[1] (analytic) = 2.4006864009268646216240014277076
y[1] (numeric) = 2.4006864009268645911726199010841
absolute error = 3.04513815266235e-17
relative error = 1.2684447879101049606490726256264e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.846
Order of pole = 2.186
x[1] = 0.957
y[1] (analytic) = 2.4014291125136248242357057809335
y[1] (numeric) = 2.4014291125136247934859574201668
absolute error = 3.07497483607667e-17
relative error = 1.2804770376328248687475656412564e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=278.4MB, alloc=4.4MB, time=33.14
Complex estimate of poles used
Radius of convergence = 1.846
Order of pole = 2.186
x[1] = 0.958
y[1] (analytic) = 2.4021722721469484672650680367462
y[1] (numeric) = 2.4021722721469484362175758530907
absolute error = 3.10474921836555e-17
relative error = 1.2924756706106974334546673469396e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.847
Order of pole = 2.186
x[1] = 0.959
y[1] (analytic) = 2.4029158791613901147716307245661
y[1] (numeric) = 2.4029158791613900834270189553119
absolute error = 3.13446117692542e-17
relative error = 1.3044406606607206044698930944904e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.847
Order of pole = 2.186
x[1] = 0.96
y[1] (analytic) = 2.4036599328920929551464889412856
y[1] (numeric) = 2.4036599328920929235053830338991
absolute error = 3.16411059073865e-17
relative error = 1.3163719823426019601344947896579e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.848
Order of pole = 2.186
x[1] = 0.961
y[1] (analytic) = 2.4044044326747897083672958166755
y[1] (numeric) = 2.4044044326747896764303224129945
absolute error = 3.19369734036810e-17
relative error = 1.3282696109552826413149546855803e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.848
Order of pole = 2.186
x[1] = 0.962
y[1] (analytic) = 2.405149377845803527151443134596
y[1] (numeric) = 2.4051493778458034949192300550797
absolute error = 3.22322130795163e-17
relative error = 1.3401335225334490065592798452401e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.849
Order of pole = 2.186
x[1] = 0.963
y[1] (analytic) = 2.4058947677420488920203031628167
y[1] (numeric) = 2.405894767742048859493479390851
absolute error = 3.25268237719657e-17
relative error = 1.3519636938440320565073824164720e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.849
Order of pole = 2.185
x[1] = 0.964
y[1] (analytic) = 2.4066406017010325002874420538342
y[1] (numeric) = 2.4066406017010324674666377200922
absolute error = 3.28208043337420e-17
relative error = 1.3637601023827154512608453353555e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.85
Order of pole = 2.185
x[1] = 0.965
y[1] (analytic) = 2.4073868790608541489837391655737
y[1] (numeric) = 2.4073868790608541158695855324319
absolute error = 3.31141536331418e-17
relative error = 1.3755227263704272000723714758089e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.85
Order of pole = 2.185
x[1] = 0.966
y[1] (analytic) = 2.4081335991602076117323703154128
y[1] (numeric) = 2.408133599160207578325499761422
absolute error = 3.34068705539908e-17
relative error = 1.3872515447498773688857869312933e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.851
Order of pole = 2.185
x[1] = 0.967
y[1] (analytic) = 2.4088807613383815095866363247046
y[1] (numeric) = 2.4088807613383814758876823291172
absolute error = 3.36989539955874e-17
relative error = 1.3989465371820296417392273519490e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.851
Order of pole = 2.185
x[1] = 0.968
y[1] (analytic) = 2.409628364935260175843641235051
y[1] (numeric) = 2.4096283649352601418532383624035
absolute error = 3.39904028726475e-17
relative error = 1.4106076840426272511190862297305e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.852
Order of pole = 2.185
x[1] = 0.969
y[1] (analytic) = 2.4103764092913245148468472831189
y[1] (numeric) = 2.4103764092913244805656311678698
absolute error = 3.42812161152491e-17
relative error = 1.4222349664187150980408743646521e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=282.2MB, alloc=4.4MB, time=33.63
Complex estimate of poles used
Radius of convergence = 1.852
Order of pole = 2.185
x[1] = 0.97
y[1] (analytic) = 2.4111248937476528547905561089518
y[1] (numeric) = 2.4111248937476528202191634401761
absolute error = 3.45713926687757e-17
relative error = 1.4338283661051166165376365361220e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.853
Order of pole = 2.185
x[1] = 0.971
y[1] (analytic) = 2.4118738176459217945393877446568
y[1] (numeric) = 2.4118738176459217596784562507958
absolute error = 3.48609314938610e-17
relative error = 1.4453878656009691555292366333363e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.853
Order of pole = 2.185
x[1] = 0.972
y[1] (analytic) = 2.4126231803284070444758506871778
y[1] (numeric) = 2.4126231803284070093260191208454
absolute error = 3.51498315663324e-17
relative error = 1.4569134481062141500482133092627e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.854
Order of pole = 2.184
x[1] = 0.973
y[1] (analytic) = 2.4133729811379842613891178017656
y[1] (numeric) = 2.41337298113798422595102592461
absolute error = 3.54380918771556e-17
relative error = 1.4684050975181375030066039754439e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.854
Order of pole = 2.184
x[1] = 0.974
y[1] (analytic) = 2.4141232194181298774181439328595
y[1] (numeric) = 2.4141232194181298416924325004817
absolute error = 3.57257114323778e-17
relative error = 1.4798627984278565316668241300791e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.855
Order of pole = 2.184
x[1] = 0.975
y[1] (analytic) = 2.414873894512921923062281917575
y[1] (numeric) = 2.4148738945129218870495926645033
absolute error = 3.60126892530717e-17
relative error = 1.4912865361168447175478302096630e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.855
Order of pole = 2.184
x[1] = 0.976
y[1] (analytic) = 2.4156250057670408442725742049828
y[1] (numeric) = 2.4156250057670408079735498297034
absolute error = 3.62990243752794e-17
relative error = 1.5026762965534569405665062240530e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.856
Order of pole = 2.184
x[1] = 0.977
y[1] (analytic) = 2.416376552525770313636917483039
y[1] (numeric) = 2.4163765525257702770522016330835
absolute error = 3.65847158499555e-17
relative error = 1.5140320663894262476679094545808e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.856
Order of pole = 2.184
x[1] = 0.978
y[1] (analytic) = 2.4171285341349980356723176055353
y[1] (numeric) = 2.417128534134997998802554862624
absolute error = 3.68697627429113e-17
relative error = 1.5253538329564108438288139702475e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.857
Order of pole = 2.184
x[1] = 0.979
y[1] (analytic) = 2.4178809499412165462374716949376
y[1] (numeric) = 2.4178809499412165090833075601799
absolute error = 3.71541641347577e-17
relative error = 1.5366415842624919558252330158291e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.857
Order of pole = 2.184
x[1] = 0.98
y[1] (analytic) = 2.418633799291524006078933574646
y[1] (numeric) = 2.4186337992915239686410144537971
absolute error = 3.74379191208489e-17
relative error = 1.5478953089887095216818404684639e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.858
Order of pole = 2.183
x[1] = 0.981
y[1] (analytic) = 2.4193870815336249885241376571822
y[1] (numeric) = 2.4193870815336249508031108459564
absolute error = 3.77210268112258e-17
relative error = 1.5591149964855901774126097426531e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=286.1MB, alloc=4.4MB, time=34.13
Complex estimate of poles used
Radius of convergence = 1.858
Order of pole = 2.183
x[1] = 0.982
y[1] (analytic) = 2.4201407960158312613345750842742
y[1] (numeric) = 2.4201407960158312233310887537152
absolute error = 3.80034863305590e-17
relative error = 1.5703006367696634457483232282264e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.859
Order of pole = 2.183
x[1] = 0.983
y[1] (analytic) = 2.4208949420870625627324342819157
y[1] (numeric) = 2.4208949420870625244471374638235
absolute error = 3.82852968180922e-17
relative error = 1.5814522205199992180588520864105e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.86
Order of pole = 2.183
x[1] = 0.984
y[1] (analytic) = 2.4216495190968473716140361594006
y[1] (numeric) = 2.4216495190968473330475787318152
absolute error = 3.85664574275854e-17
relative error = 1.5925697390747417263474615482292e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.86
Order of pole = 2.183
x[1] = 0.985
y[1] (analytic) = 2.4224045263953236719634119472371
y[1] (numeric) = 2.4224045263953236331164446199792
absolute error = 3.88469673272579e-17
relative error = 1.6036531844276400326442614445999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.861
Order of pole = 2.183
x[1] = 0.986
y[1] (analytic) = 2.4231599633332397114793891359042
y[1] (numeric) = 2.4231599633332396723525634361725
absolute error = 3.91268256997317e-17
relative error = 1.6147025492245998240650859667257e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.861
Order of pole = 2.183
x[1] = 0.987
y[1] (analytic) = 2.4239158292619547544295681467873
y[1] (numeric) = 2.4239158292619547150235364048134
absolute error = 3.94060317419739e-17
relative error = 1.6257178267601987287980456234589e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.862
Order of pole = 2.183
x[1] = 0.988
y[1] (analytic) = 2.4246721235334398287445892395027
y[1] (numeric) = 2.4246721235334397890600045742627
absolute error = 3.96845846652400e-17
relative error = 1.6366990109742436131763374518250e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.862
Order of pole = 2.182
x[1] = 0.989
y[1] (analytic) = 2.425428845500278467366105737352
y[1] (numeric) = 2.425428845500278427403622042335
absolute error = 3.99624836950170e-17
relative error = 1.6476460964483244348102429770514e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.863
Order of pole = 2.182
x[1] = 0.99
y[1] (analytic) = 2.4261859945156674438618959360208
y[1] (numeric) = 2.4261859945156674036221678650549
absolute error = 4.02397280709659e-17
relative error = 1.6585590784023481917546339827056e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.863
Order of pole = 2.182
x[1] = 0.991
y[1] (analytic) = 2.4269435699334175023215620510201
y[1] (numeric) = 2.4269435699334174618052450041555
absolute error = 4.05163170468646e-17
relative error = 1.6694379526910942344693045270790e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.864
Order of pole = 2.182
x[1] = 0.992
y[1] (analytic) = 2.4277015711079540815462802579402
y[1] (numeric) = 2.4277015711079540407540303673892
absolute error = 4.07922498905510e-17
relative error = 1.6802827158007826748148679481410e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.864
Order of pole = 2.182
x[1] = 0.993
y[1] (analytic) = 2.4284599973943180335460812875207
y[1] (numeric) = 2.4284599973943179924785554036554
absolute error = 4.10675258838653e-17
relative error = 1.6910933648456147041203460347561e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=289.9MB, alloc=4.4MB, time=34.63
Complex estimate of poles used
Radius of convergence = 1.865
Order of pole = 2.182
x[1] = 0.994
y[1] (analytic) = 2.429218848148166336358156156017
y[1] (numeric) = 2.4292188481481662950160118334241
absolute error = 4.13421443225929e-17
relative error = 1.7018698975643425323528779331205e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.865
Order of pole = 2.182
x[1] = 0.995
y[1] (analytic) = 2.4299781227257728011996964415351
y[1] (numeric) = 2.4299781227257727595835919251278
absolute error = 4.16161045164073e-17
relative error = 1.7126123123168442109622888995831e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.866
Order of pole = 2.182
x[1] = 0.996
y[1] (analytic) = 2.4307378204840287739687930600964
y[1] (numeric) = 2.4307378204840287320793872712843
absolute error = 4.18894057888121e-17
relative error = 1.7233206080806663216831670269826e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.866
Order of pole = 2.182
x[1] = 0.997
y[1] (analytic) = 2.4314979407804438311069317523601
y[1] (numeric) = 2.4314979407804437889448842752756
absolute error = 4.21620474770845e-17
relative error = 1.7339947844476333248739049839244e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.867
Order of pole = 2.181
x[1] = 0.998
y[1] (analytic) = 2.4322584829731464698366374643489
y[1] (numeric) = 2.4322584829731464274026085321317
absolute error = 4.24340289322172e-17
relative error = 1.7446348416203959866478987725877e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.867
Order of pole = 2.181
x[1] = 0.999
y[1] (analytic) = 2.4330194464208847927878334943833
y[1] (numeric) = 2.4330194464208847500824839755223
absolute error = 4.27053495188610e-17
relative error = 1.7552407804090135693246724553454e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.868
Order of pole = 2.181
x[1] = 1
y[1] (analytic) = 2.4337808304830271870264946849002
y[1] (numeric) = 2.4337808304830271440504860696325
absolute error = 4.29760086152677e-17
relative error = 1.7658126022275532944887606620608e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.869
Order of pole = 2.181
x[1] = 1.001
y[1] (analytic) = 2.434542634519562997499187063105
y[1] (numeric) = 2.4345426345195629542531814498727
absolute error = 4.32460056132323e-17
relative error = 1.7763503090906659837119312254920e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.869
Order of pole = 2.181
x[1] = 1.002
y[1] (analytic) = 2.4353048578911031949070991796594
y[1] (numeric) = 2.4353048578911031513917592616238
absolute error = 4.35153399180356e-17
relative error = 1.7868539036101831162490651510451e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.87
Order of pole = 2.181
x[1] = 1.003
y[1] (analytic) = 2.4360674999588810380231829610214
y[1] (numeric) = 2.4360674999588809942391720126346
absolute error = 4.37840109483868e-17
relative error = 1.7973233889917188551187495534703e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.87
Order of pole = 2.181
x[1] = 1.004
y[1] (analytic) = 2.436830560084752730466034179818
y[1] (numeric) = 2.4368305600847526864140160434524
absolute error = 4.40520181363656e-17
relative error = 1.8077587690312565303271164567512e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.871
Order of pole = 2.181
x[1] = 1.005
y[1] (analytic) = 2.4375940376311980719441546599234
y[1] (numeric) = 2.4375940376311980276247937325583
absolute error = 4.43193609273651e-17
relative error = 1.8181600481117729626058965583620e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=293.7MB, alloc=4.4MB, time=35.13
Complex estimate of poles used
Radius of convergence = 1.871
Order of pole = 2.181
x[1] = 1.006
y[1] (analytic) = 2.438357931961321103984250069919
y[1] (numeric) = 2.4383579319613210593982112898853
absolute error = 4.45860387800337e-17
relative error = 1.8285272311998267425151531156888e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.872
Order of pole = 2.181
x[1] = 1.007
y[1] (analytic) = 2.439122242438850750157228621517
y[1] (numeric) = 2.4391222424388507053051774552992
absolute error = 4.48520511662178e-17
relative error = 1.8388603238421843588139003320262e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.872
Order of pole = 2.181
x[1] = 1.008
y[1] (analytic) = 2.4398869684281414508155771795141
y[1] (numeric) = 2.4398869684281414056981796086096
absolute error = 4.51173975709045e-17
relative error = 1.8491593321624513225150372222599e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.873
Order of pole = 2.18
x[1] = 1.009
y[1] (analytic) = 2.4406521092941737923558022080904
y[1] (numeric) = 2.440652109294173746973724715927
absolute error = 4.53820774921634e-17
relative error = 1.8594242628576714179287265165067e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.873
Order of pole = 2.18
x[1] = 1.01
y[1] (analytic) = 2.441417664402555131019633625977
y[1] (numeric) = 2.4414176644025550853735431848876
absolute error = 4.56460904410894e-17
relative error = 1.8696551231949719918634613441870e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.874
Order of pole = 2.18
x[1] = 1.011
y[1] (analytic) = 2.4421836331195202112477000213484
y[1] (numeric) = 2.4421836331195201653382640796035
absolute error = 4.59094359417449e-17
relative error = 1.8798519210081896823876988432292e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.874
Order of pole = 2.18
x[1] = 1.012
y[1] (analytic) = 2.44295001481193177859939378746
y[1] (numeric) = 2.4429500148119317324272802563577
absolute error = 4.61721135311023e-17
relative error = 1.8900146646945134881976536374831e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.875
Order of pole = 2.18
x[1] = 1.013
y[1] (analytic) = 2.4437168088472811872526545832157
y[1] (numeric) = 2.443716808847281140818531824229
absolute error = 4.64341227589867e-17
relative error = 1.9001433632111410657646924596887e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.875
Order of pole = 2.18
x[1] = 1.014
y[1] (analytic) = 2.4444840145936890020974091002057
y[1] (numeric) = 2.4444840145936889554019459121884
absolute error = 4.66954631880173e-17
relative error = 1.9102380260718868798185795502466e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.876
Order of pole = 2.18
x[1] = 1.015
y[1] (analytic) = 2.4452516314199055954364144304943
y[1] (numeric) = 2.4452516314199055484802800369433
absolute error = 4.69561343935510e-17
relative error = 1.9202986633438854646664521688260e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.877
Order of pole = 2.18
x[1] = 1.016
y[1] (analytic) = 2.4460196586953117383072613787249
y[1] (numeric) = 2.446019658695311691091125415101
absolute error = 4.72161359636239e-17
relative error = 1.9303252856442138087429307317304e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.877
Order of pole = 2.18
x[1] = 1.017
y[1] (analytic) = 2.4467880957899191864393028491584
y[1] (numeric) = 2.446788095789919138963835350264
absolute error = 4.74754674988944e-17
relative error = 1.9403179041365842756934029191292e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=297.5MB, alloc=4.4MB, time=35.63
Complex estimate of poles used
Radius of convergence = 1.878
Order of pole = 2.18
x[1] = 1.018
y[1] (analytic) = 2.4475569420743712608592809642286
y[1] (numeric) = 2.4475569420743712131251523516437
absolute error = 4.77341286125849e-17
relative error = 1.9502765305279853527511392894858e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.878
Order of pole = 2.18
x[1] = 1.019
y[1] (analytic) = 2.4483261969199434231594348372928
y[1] (numeric) = 2.448326196919943375167315906868
absolute error = 4.79921189304248e-17
relative error = 1.9602011770653806373312685357425e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.879
Order of pole = 2.18
x[1] = 1.02
y[1] (analytic) = 2.449095859698543845441878929641
y[1] (numeric) = 2.4490958596985437971924408390482
absolute error = 4.82494380905928e-17
relative error = 1.9700918565323842878067345716413e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.879
Order of pole = 2.18
x[1] = 1.021
y[1] (analytic) = 2.4498659297827139749530496717056
y[1] (numeric) = 2.4498659297827139264469639280463
absolute error = 4.85060857436593e-17
relative error = 1.9799485822459456617014002644380e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.88
Order of pole = 2.18
x[1] = 1.022
y[1] (analytic) = 2.4506364065456290934220255219561
y[1] (numeric) = 2.4506364065456290446599639694276
absolute error = 4.87620615525285e-17
relative error = 1.9897713680530268154076070241113e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.88
Order of pole = 2.179
x[1] = 1.023
y[1] (analytic) = 2.4514072893610988711165328753621
y[1] (numeric) = 2.4514072893610988220991676829802
absolute error = 4.90173651923819e-17
relative error = 1.9995602283273422455836876618761e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.881
Order of pole = 2.179
x[1] = 1.024
y[1] (analytic) = 2.4521785776035679156304572177385
y[1] (numeric) = 2.4521785776035678663584608671187
absolute error = 4.92719963506198e-17
relative error = 2.0093151779660220994543036675131e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.881
Order of pole = 2.179
x[1] = 1.025
y[1] (analytic) = 2.452950270648116315416685653944
y[1] (numeric) = 2.4529502706481162658907309271398
absolute error = 4.95259547268042e-17
relative error = 2.0190362323863376473478118065666e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.882
Order of pole = 2.179
x[1] = 1.026
y[1] (analytic) = 2.4537223678704601780791134179565
y[1] (numeric) = 2.453722367870460128299873385355
absolute error = 4.97792400326015e-17
relative error = 2.0287234075224236896784848410821e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.883
Order of pole = 2.179
x[1] = 1.027
y[1] (analytic) = 2.4544948686469521634376532024895
y[1] (numeric) = 2.4544948686469521134058012107647
absolute error = 5.00318519917248e-17
relative error = 2.0383767198219897729320559500667e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.883
Order of pole = 2.179
x[1] = 1.028
y[1] (analytic) = 2.4552677723545820113800921262216
y[1] (numeric) = 2.4552677723545819610963017863446
absolute error = 5.02837903398770e-17
relative error = 2.0479961862430691298884424847936e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.884
Order of pole = 2.179
x[1] = 1.029
y[1] (analytic) = 2.4560410783709770645146468890614
y[1] (numeric) = 2.4560410783709770139795920643689
absolute error = 5.05350548246925e-17
relative error = 2.0575818242507157019304452383264e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=301.3MB, alloc=4.4MB, time=36.13
Complex estimate of poles used
Radius of convergence = 1.884
Order of pole = 2.179
x[1] = 1.03
y[1] (analytic) = 2.4568147860744027856370731513582
y[1] (numeric) = 2.4568147860744027348514279456773
absolute error = 5.07856452056809e-17
relative error = 2.0671336518137877643092785176265e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.885
Order of pole = 2.179
x[1] = 1.031
y[1] (analytic) = 2.4575888948437632700261904127539
y[1] (numeric) = 2.4575888948437632189906291585847
absolute error = 5.10355612541692e-17
relative error = 2.0766516874016755633713227784189e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.885
Order of pole = 2.179
x[1] = 1.032
y[1] (analytic) = 2.458363404058601752581688661655
y[1] (numeric) = 2.4583634040586017012968859084106
absolute error = 5.12848027532444e-17
relative error = 2.0861359499810503920141517252479e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.886
Order of pole = 2.179
x[1] = 1.033
y[1] (analytic) = 2.4591383130991011098180878182488
y[1] (numeric) = 2.4591383130991010582847183205524
absolute error = 5.15333694976964e-17
relative error = 2.0955864590126310053517073027508e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.886
Order of pole = 2.179
x[1] = 1.034
y[1] (analytic) = 2.459913621346084356728725503781
y[1] (numeric) = 2.4599136213460843049474642098199
absolute error = 5.17812612939611e-17
relative error = 2.1050032344479632887459791285163e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.887
Order of pole = 2.179
x[1] = 1.035
y[1] (analytic) = 2.4606893281810151385336529376252
y[1] (numeric) = 2.4606893281810150865051749775624
absolute error = 5.20284779600628e-17
relative error = 2.1143862967261765893205246338799e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.887
Order of pole = 2.179
x[1] = 1.036
y[1] (analytic) = 2.461465432985998217325322792694
y[1] (numeric) = 2.461465432985998165050303467137
absolute error = 5.22750193255570e-17
relative error = 2.1237356667707614666569989141680e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.888
Order of pole = 2.179
x[1] = 1.037
y[1] (analytic) = 2.4622419351437799536259566301307
y[1] (numeric) = 2.4622419351437799011050713986567
absolute error = 5.25208852314740e-17
relative error = 2.1330513659863850761345651885199e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.889
Order of pole = 2.179
x[1] = 1.038
y[1] (analytic) = 2.4630188340377487828704830871643
y[1] (numeric) = 2.4630188340377487301044075569033
absolute error = 5.27660755302610e-17
relative error = 2.1423334162556507357318832334155e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.889
Order of pole = 2.179
x[1] = 1.039
y[1] (analytic) = 2.4637961290519356868289413086825
y[1] (numeric) = 2.4637961290519356338183512229568
absolute error = 5.30105900857257e-17
relative error = 2.1515818399359235779423738784525e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.89
Order of pole = 2.179
x[1] = 1.04
y[1] (analytic) = 2.4645738195710146599822471946445
y[1] (numeric) = 2.4645738195710146067278184216653
absolute error = 5.32544287729792e-17
relative error = 2.1607966598561328910966066019023e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.89
Order of pole = 2.179
x[1] = 1.041
y[1] (analytic) = 2.4653519049803031708652228830985
y[1] (numeric) = 2.4653519049803031173676314047198
absolute error = 5.34975914783787e-17
relative error = 2.1699778993135714975785665779736e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=305.1MB, alloc=4.4MB, time=36.62
Complex estimate of poles used
Radius of convergence = 1.891
Order of pole = 2.179
x[1] = 1.042
y[1] (analytic) = 2.4661303846657626183907925034568
y[1] (numeric) = 2.4661303846657625646507144039854
absolute error = 5.37400780994714e-17
relative error = 2.1791255820707489595076569033234e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.891
Order of pole = 2.179
x[1] = 1.043
y[1] (analytic) = 2.4669092580139987831692496179807
y[1] (numeric) = 2.4669092580139987291873610730438
absolute error = 5.39818885449369e-17
relative error = 2.1882397323521890591017697202367e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.892
Order of pole = 2.179
x[1] = 1.044
y[1] (analytic) = 2.467688524412262273836503922318
y[1] (numeric) = 2.4676885244122622196134811877871
absolute error = 5.42230227345309e-17
relative error = 2.1973203748412851580455997024197e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.892
Order of pole = 2.179
x[1] = 1.045
y[1] (analytic) = 2.4684681832484489684052166995755
y[1] (numeric) = 2.4684681832484489139417361005469
absolute error = 5.44634805990286e-17
relative error = 2.2063675346771485051329508144058e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.893
Order of pole = 2.179
x[1] = 1.046
y[1] (analytic) = 2.4692482339111004506527362179728
y[1] (numeric) = 2.4692482339111003959494741378054
absolute error = 5.47032620801674e-17
relative error = 2.2153812374514333230224013188338e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.894
Order of pole = 2.179
x[1] = 1.047
y[1] (analytic) = 2.4700286757894044415597457307789
y[1] (numeric) = 2.4700286757894043866173786001878
absolute error = 5.49423671305911e-17
relative error = 2.2243615092052278077293389841619e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.894
Order of pole = 2.179
x[1] = 1.048
y[1] (analytic) = 2.4708095082731952258135379801375
y[1] (numeric) = 2.470809508273195170632742266345
absolute error = 5.51807957137925e-17
relative error = 2.2333083764258854445816161820281e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.895
Order of pole = 2.179
x[1] = 1.049
y[1] (analytic) = 2.4715907307529540733898311247174
y[1] (numeric) = 2.4715907307529540179712833206594
absolute error = 5.54185478040580e-17
relative error = 2.2422218660439424420880819816582e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.895
Order of pole = 2.179
x[1] = 1.05
y[1] (analytic) = 2.4723723426198096562270418060303
y[1] (numeric) = 2.4723723426198096005714184196201
absolute error = 5.56556233864102e-17
relative error = 2.2511020054299593195669443050152e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.896
Order of pole = 2.179
x[1] = 1.051
y[1] (analytic) = 2.4731543432655384600069316409177
y[1] (numeric) = 2.473154343265538404114909184366
absolute error = 5.58920224565517e-17
relative error = 2.2599488223914162198358619246258e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.896
Order of pole = 2.179
x[1] = 1.052
y[1] (analytic) = 2.4739367320825651910555437792672
y[1] (numeric) = 2.4739367320825651349277987584578
absolute error = 5.61277450208094e-17
relative error = 2.2687623451696335472460439800211e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.897
Order of pole = 2.179
x[1] = 1.053
y[1] (analytic) = 2.4747195084639631783783462976447
y[1] (numeric) = 2.4747195084639631220155552015673
absolute error = 5.63627910960774e-17
relative error = 2.2775426024366411125738802857511e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=309.0MB, alloc=4.4MB, time=37.11
Complex estimate of poles used
Radius of convergence = 1.897
Order of pole = 2.179
x[1] = 1.054
y[1] (analytic) = 2.4755026718034547708434991123848
y[1] (numeric) = 2.4755026718034547142463384026231
absolute error = 5.65971607097617e-17
relative error = 2.2862896232921251793050299857054e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.898
Order of pole = 2.179
x[1] = 1.055
y[1] (analytic) = 2.4762862214954117295271607909106
y[1] (numeric) = 2.4762862214954116726963068911873
absolute error = 5.68308538997233e-17
relative error = 2.2950034372603159503168305295992e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.899
Order of pole = 2.179
x[1] = 1.056
y[1] (analytic) = 2.4770701569348556152347511188296
y[1] (numeric) = 2.477070156934855558170880404607
absolute error = 5.70638707142226e-17
relative error = 2.3036840742869327143215524724204e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.899
Order of pole = 2.179
x[1] = 1.057
y[1] (analytic) = 2.4778544775174581712120845438138
y[1] (numeric) = 2.4778544775174581139158733319506
absolute error = 5.72962112118632e-17
relative error = 2.3123315647361098588340039590385e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.9
Order of pole = 2.179
x[1] = 1.058
y[1] (analytic) = 2.4786391826395417010602886665834
y[1] (numeric) = 2.4786391826395416435324132050472
absolute error = 5.75278754615362e-17
relative error = 2.3209459393873481847731259289571e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.9
Order of pole = 2.179
x[1] = 1.059
y[1] (analytic) = 2.4794242716980794418684207856192
y[1] (numeric) = 2.4794242716980793841095572432548
absolute error = 5.77588635423644e-17
relative error = 2.3295272294324672809740736084541e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.901
Order of pole = 2.179
x[1] = 1.06
y[1] (analytic) = 2.4802097440906959325776941266846
y[1] (numeric) = 2.4802097440906958745885185830385
absolute error = 5.79891755436461e-17
relative error = 2.3380754664725468738950511695643e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.901
Order of pole = 2.179
x[1] = 1.061
y[1] (analytic) = 2.4809955992156673775912238019917
y[1] (numeric) = 2.4809955992156673193724122371917
absolute error = 5.82188115648000e-17
relative error = 2.3465906825149176498889902633973e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.902
Order of pole = 2.179
x[1] = 1.062
y[1] (analytic) = 2.4817818364719220056432007480383
y[1] (numeric) = 2.4817818364719219471954290327293
absolute error = 5.84477717153090e-17
relative error = 2.3550729099701128076476643277202e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.903
Order of pole = 2.179
x[1] = 1.063
y[1] (analytic) = 2.4825684552590404239413998869342
y[1] (numeric) = 2.482568455259040365265343772269
absolute error = 5.86760561146652e-17
relative error = 2.3635221816488730869944021597990e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.903
Order of pole = 2.179
x[1] = 1.064
y[1] (analytic) = 2.4833554549772559675969265445529
y[1] (numeric) = 2.4833554549772559086932616522389
absolute error = 5.89036648923140e-17
relative error = 2.3719385307591206055524918332908e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.904
Order of pole = 2.179
x[1] = 1.065
y[1] (analytic) = 2.4841428350274550443551027412459
y[1] (numeric) = 2.4841428350274549852245045536471
absolute error = 5.91305981875988e-17
relative error = 2.3803219909029619684329998340892e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=312.8MB, alloc=4.4MB, time=37.61
Complex estimate of poles used
Radius of convergence = 1.904
Order of pole = 2.179
x[1] = 1.066
y[1] (analytic) = 2.4849305948111774746413923482758
y[1] (numeric) = 2.4849305948111774152845361985698
absolute error = 5.93568561497060e-17
relative error = 2.3886725960737085261914685389615e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.905
Order of pole = 2.179
x[1] = 1.067
y[1] (analytic) = 2.4857187337306168269362612766984
y[1] (numeric) = 2.4857187337306167673538223390888
absolute error = 5.95824389376096e-17
relative error = 2.3969903806528855949570733853610e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.905
Order of pole = 2.179
x[1] = 1.068
y[1] (analytic) = 2.486507251188620748492865836301
y[1] (numeric) = 2.4865072511886206886855191162852
absolute error = 5.98073467200158e-17
relative error = 2.4052753794072467627824115513016e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.906
Order of pole = 2.18
x[1] = 1.069
y[1] (analytic) = 2.4872961465886912914114591715101
y[1] (numeric) = 2.4872961465886912313798794962021
absolute error = 6.00315796753080e-17
relative error = 2.4135276274858093653469375506008e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.907
Order of pole = 2.18
x[1] = 1.07
y[1] (analytic) = 2.488085419334985234084402250057
y[1] (numeric) = 2.4880854193349851738292642585646
absolute error = 6.02551379914924e-17
relative error = 2.4217471604169191349513317881033e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.907
Order of pole = 2.18
x[1] = 1.071
y[1] (analytic) = 2.4888750688323143980256622497638
y[1] (numeric) = 2.4888750688323143375476403836214
absolute error = 6.04780218661424e-17
relative error = 2.4299340141052716486964663288231e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.908
Order of pole = 2.18
x[1] = 1.072
y[1] (analytic) = 2.4896650944861459600986773602258
y[1] (numeric) = 2.4896650944861458993984458538818
absolute error = 6.07002315063440e-17
relative error = 2.4380882248289790494750118523971e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.908
Order of pole = 2.18
x[1] = 1.073
y[1] (analytic) = 2.4904554957026027601564629905322
y[1] (numeric) = 2.4904554957026026992346958618909
absolute error = 6.09217671286413e-17
relative error = 2.4462098292366458136833570088800e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.909
Order of pole = 2.18
x[1] = 1.074
y[1] (analytic) = 2.4912462718884636041078301526302
y[1] (numeric) = 2.4912462718884635429652011936486
absolute error = 6.11426289589816e-17
relative error = 2.4542988643444334875340753114909e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.909
Order of pole = 2.18
x[1] = 1.075
y[1] (analytic) = 2.4920374224511635624235823736128
y[1] (numeric) = 2.4920374224511635010607651409519
absolute error = 6.13628172326609e-17
relative error = 2.4623553675331465309074785341606e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.91
Order of pole = 2.18
x[1] = 1.076
y[1] (analytic) = 2.4928289467987942640965528802288
y[1] (numeric) = 2.492828946798794202514220685959
absolute error = 6.15823321942698e-17
relative error = 2.4703793765453392339873626611416e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.911
Order of pole = 2.18
x[1] = 1.077
y[1] (analytic) = 2.4936208443401041860693389963895
y[1] (numeric) = 2.4936208443401041242681648987508
absolute error = 6.18011740976387e-17
relative error = 2.4783709294823995593174779155080e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=316.6MB, alloc=4.4MB, time=38.10
Complex estimate of poles used
Radius of convergence = 1.911
Order of pole = 2.18
x[1] = 1.078
y[1] (analytic) = 2.4944131144844989381435857005119
y[1] (numeric) = 2.4944131144844988761242424947285
absolute error = 6.20193432057834e-17
relative error = 2.4863300648016540710542167145905e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.912
Order of pole = 2.18
x[1] = 1.079
y[1] (analytic) = 2.4952057566420415433846651053001
y[1] (numeric) = 2.4952057566420414811478253144485
absolute error = 6.22368397908516e-17
relative error = 2.4942568213135139548973301786619e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.912
Order of pole = 2.18
x[1] = 1.08
y[1] (analytic) = 2.4959987702234527140355932491481
y[1] (numeric) = 2.4959987702234526515819291150799
absolute error = 6.24536641340682e-17
relative error = 2.5021512381785779144840991471808e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.913
Order of pole = 2.18
x[1] = 1.081
y[1] (analytic) = 2.4967921546401111229540200268641
y[1] (numeric) = 2.4967921546401110602842035011824
absolute error = 6.26698165256817e-17
relative error = 2.5100133549047841700171857370740e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.913
Order of pole = 2.18
x[1] = 1.082
y[1] (analytic) = 2.4975859093040536705861223389761
y[1] (numeric) = 2.4975859093040536077008250740662
absolute error = 6.28852972649099e-17
relative error = 2.5178432113445393920303155470698e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.914
Order of pole = 2.181
x[1] = 1.083
y[1] (analytic) = 2.4983800336279757474912246045989
y[1] (numeric) = 2.4983800336279756843911179447122
absolute error = 6.31001066598867e-17
relative error = 2.5256408476918966798260154962875e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.915
Order of pole = 2.181
x[1] = 1.084
y[1] (analytic) = 2.4991745270252314924309646638232
y[1] (numeric) = 2.4991745270252314291167196362153
absolute error = 6.33142450276079e-17
relative error = 2.5334063044796984592520866102063e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.915
Order of pole = 2.181
x[1] = 1.085
y[1] (analytic) = 2.4999693889098340460368167929498
y[1] (numeric) = 2.499969388909833982509104099072
absolute error = 6.35277126938778e-17
relative error = 2.5411396225767563901252538763787e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.916
Order of pole = 2.181
x[1] = 1.086
y[1] (analytic) = 2.5007646186964558000697770707207
y[1] (numeric) = 2.500764618696455736329267077465
absolute error = 6.37405099932557e-17
relative error = 2.5488408431850322233362001233736e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.916
Order of pole = 2.181
x[1] = 1.087
y[1] (analytic) = 2.5015602158004286422860096671196
y[1] (numeric) = 2.5015602158004285783333723981172
absolute error = 6.39526372690024e-17
relative error = 2.5565100078368236142724932729652e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.917
Order of pole = 2.181
x[1] = 1.088
y[1] (analytic) = 2.5023561796377441969222457794067
y[1] (numeric) = 2.5023561796377441327581509063794
absolute error = 6.41640948730273e-17
relative error = 2.5641471583919788701194518832013e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.917
Order of pole = 2.181
x[1] = 1.089
y[1] (analytic) = 2.5031525096250540608147199139309
y[1] (numeric) = 2.5031525096250539964398367480963
absolute error = 6.43748831658346e-17
relative error = 2.5717523370350806533004883852829e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=320.4MB, alloc=4.4MB, time=38.59
Complex estimate of poles used
Radius of convergence = 1.918
Order of pole = 2.181
x[1] = 1.09
y[1] (analytic) = 2.5039492051796700351654210080173
y[1] (numeric) = 2.5039492051796699705804184915464
absolute error = 6.45850025164709e-17
relative error = 2.5793255862726905760899073534376e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.919
Order of pole = 2.181
x[1] = 1.091
y[1] (analytic) = 2.5047462657195643529694285049478
y[1] (numeric) = 2.5047462657195642881749752024761
absolute error = 6.47944533024717e-17
relative error = 2.5868669489305547512912593238605e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.919
Order of pole = 2.181
x[1] = 1.092
y[1] (analytic) = 2.5055436906633699021170959378447
y[1] (numeric) = 2.5055436906633698371138600280362
absolute error = 6.50032359098085e-17
relative error = 2.5943764681508382463160645846344e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.92
Order of pole = 2.181
x[1] = 1.093
y[1] (analytic) = 2.5063414794303804441848368462054
y[1] (numeric) = 2.5063414794303803789734861133686
absolute error = 6.52113507328368e-17
relative error = 2.6018541873894003567768317460277e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.92
Order of pole = 2.182
x[1] = 1.094
y[1] (analytic) = 2.507139631440550828928259943018
y[1] (numeric) = 2.5071396314405507635094617687755
absolute error = 6.54187981742425e-17
relative error = 2.6093001504130109041433419450691e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.921
Order of pole = 2.182
x[1] = 1.095
y[1] (analytic) = 2.507938146114497204491392371901
y[1] (numeric) = 2.507938146114497138865813726911
absolute error = 6.56255786449900e-17
relative error = 2.6167144012966392816687781786352e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.921
Order of pole = 2.182
x[1] = 1.096
y[1] (analytic) = 2.5087370228734972233457216436251
y[1] (numeric) = 2.5087370228734971575140290793559
absolute error = 6.58316925642692e-17
relative error = 2.6240969844207044871834451065298e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.922
Order of pole = 2.182
x[1] = 1.097
y[1] (analytic) = 2.509536261139490243972778420793
y[1] (numeric) = 2.5095362611394901779356380613492
absolute error = 6.60371403594438e-17
relative error = 2.6314479444683818753653144088080e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.923
Order of pole = 2.182
x[1] = 1.098
y[1] (analytic) = 2.5103358603350775283039737294321
y[1] (numeric) = 2.5103358603350774620620512634331
absolute error = 6.62419224659990e-17
relative error = 2.6387673264228908264462001964726e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.923
Order of pole = 2.182
x[1] = 1.099
y[1] (analytic) = 2.5111358198835224349313954178878
y[1] (numeric) = 2.5111358198835223684853560903991
absolute error = 6.64460393274887e-17
relative error = 2.6460551755647673664608723203997e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.924
Order of pole = 2.182
x[1] = 1.1
y[1] (analytic) = 2.5119361392087506081032597577611
y[1] (numeric) = 2.5119361392087505414537683622767
absolute error = 6.66494913954844e-17
relative error = 2.6533115374692093647472729230900e-15 %
h = 0.001
Finished!
Maximum Iterations Reached before Solution Completed!
diff ( y , x , 1 ) = tanh ( x ) ;
Iterations = 1000
Total Elapsed Time = 38 Seconds
Elapsed Time(since restart) = 38 Seconds
Expected Time Remaining = 5 Minutes 46 Seconds
Optimized Time Remaining = 5 Minutes 46 Seconds
Time to Timeout = 14 Minutes 21 Seconds
Percent Done = 10.11 %
> quit
memory used=323.8MB, alloc=4.4MB, time=39.00