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> #BEGIN OUTFILE1
>
> # Begin Function number 3
> display_alot := proc(iter)
> global
> glob_iolevel,
> ALWAYS,
> glob_max_terms,
> DEBUGL,
> DEBUGMASSIVE,
> INFO,
> #Top Generate Globals Decl
> glob_log10abserr,
> glob_abserr,
> glob_look_poles,
> glob_last_good_h,
> glob_hmin,
> glob_warned2,
> glob_log10_abserr,
> glob_dump,
> glob_normmax,
> glob_max_trunc_err,
> glob_large_float,
> glob_initial_pass,
> glob_html_log,
> glob_max_minutes,
> glob_start,
> glob_unchanged_h_cnt,
> glob_dump_analytic,
> glob_hmax,
> djd_debug2,
> glob_clock_start_sec,
> centuries_in_millinium,
> djd_debug,
> glob_optimal_expect_sec,
> glob_curr_iter_when_opt,
> glob_optimal_clock_start_sec,
> glob_not_yet_finished,
> glob_clock_sec,
> days_in_year,
> glob_display_flag,
> glob_max_opt_iter,
> glob_orig_start_sec,
> glob_not_yet_start_msg,
> sec_in_min,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_smallish_float,
> glob_no_eqs,
> glob_max_iter,
> glob_relerr,
> glob_log10_relerr,
> glob_disp_incr,
> glob_max_sec,
> glob_warned,
> glob_h,
> glob_subiter_method,
> glob_log10relerr,
> glob_optimal_start,
> glob_hmin_init,
> years_in_century,
> hours_in_day,
> glob_percent_done,
> glob_iter,
> glob_small_float,
> glob_max_rel_trunc_err,
> glob_max_hours,
> glob_optimal_done,
> glob_reached_optimal_h,
> glob_almost_1,
> min_in_hour,
> glob_log10normmin,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_1D0,
> #END CONST
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_norms,
> array_m1,
> array_y,
> array_x,
> array_last_rel_error,
> array_y_init,
> array_type_pole,
> array_pole,
> array_1st_rel_error,
> array_y_set_initial,
> array_complex_pole,
> array_y_higher_work2,
> array_y_higher_work,
> array_real_pole,
> array_y_higher,
> array_poles,
> glob_last;
>
> local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
> #TOP DISPLAY ALOT
> if (iter >= 0) then # if number 1
> ind_var := array_x[1];
> omniout_float(ALWAYS,"x[1] ",33,ind_var,20," ");
> analytic_val_y := exact_soln_y(ind_var);
> omniout_float(ALWAYS,"y[1] (analytic) ",33,analytic_val_y,20," ");
> term_no := 1;
> numeric_val := array_y[term_no];
> abserr := abs(numeric_val - analytic_val_y);
> omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," ");
> if (abs(analytic_val_y) <> 0.0) then # if number 2
> relerr := abserr*100.0/abs(analytic_val_y);
> else
> relerr := -1.0 ;
> fi;# end if 2
> ;
> if glob_iter = 1 then # if number 2
> array_1st_rel_error[1] := relerr;
> else
> array_last_rel_error[1] := relerr;
> fi;# end if 2
> ;
> omniout_float(ALWAYS,"absolute error ",4,abserr,20," ");
> omniout_float(ALWAYS,"relative error ",4,relerr,20,"%");
> omniout_float(ALWAYS,"h ",4,glob_h,20," ");
> #BOTTOM DISPLAY ALOT
> fi;# end if 1
> ;
> # End Function number 3
> end;
display_alot := proc(iter)
local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
global glob_iolevel, ALWAYS, glob_max_terms, DEBUGL, DEBUGMASSIVE, INFO,
glob_log10abserr, glob_abserr, glob_look_poles, glob_last_good_h, glob_hmin,
glob_warned2, glob_log10_abserr, glob_dump, glob_normmax,
glob_max_trunc_err, glob_large_float, glob_initial_pass, glob_html_log,
glob_max_minutes, glob_start, glob_unchanged_h_cnt, glob_dump_analytic,
glob_hmax, djd_debug2, glob_clock_start_sec, centuries_in_millinium,
djd_debug, glob_optimal_expect_sec, glob_curr_iter_when_opt,
glob_optimal_clock_start_sec, glob_not_yet_finished, glob_clock_sec,
days_in_year, glob_display_flag, glob_max_opt_iter, glob_orig_start_sec,
glob_not_yet_start_msg, sec_in_min, MAX_UNCHANGED, glob_current_iter,
glob_smallish_float, glob_no_eqs, glob_max_iter, glob_relerr,
glob_log10_relerr, glob_disp_incr, glob_max_sec, glob_warned, glob_h,
glob_subiter_method, glob_log10relerr, glob_optimal_start, glob_hmin_init,
years_in_century, hours_in_day, glob_percent_done, glob_iter,
glob_small_float, glob_max_rel_trunc_err, glob_max_hours, glob_optimal_done,
glob_reached_optimal_h, glob_almost_1, min_in_hour, glob_log10normmin,
array_const_1, array_const_0D0, array_const_1D0, array_tmp0, array_tmp1,
array_tmp2, array_norms, array_m1, array_y, array_x, array_last_rel_error,
array_y_init, array_type_pole, array_pole, array_1st_rel_error,
array_y_set_initial, array_complex_pole, array_y_higher_work2,
array_y_higher_work, array_real_pole, array_y_higher, array_poles,
glob_last;
if 0 <= iter then
ind_var := array_x[1];
omniout_float(ALWAYS, "x[1] ", 33,
ind_var, 20, " ");
analytic_val_y := exact_soln_y(ind_var);
omniout_float(ALWAYS, "y[1] (analytic) ", 33,
analytic_val_y, 20, " ");
term_no := 1;
numeric_val := array_y[term_no];
abserr := abs(numeric_val - analytic_val_y);
omniout_float(ALWAYS, "y[1] (numeric) ", 33,
numeric_val, 20, " ");
if abs(analytic_val_y) <> 0. then
relerr := abserr*100.0/abs(analytic_val_y)
else relerr := -1.0
end if;
if glob_iter = 1 then array_1st_rel_error[1] := relerr
else array_last_rel_error[1] := relerr
end if;
omniout_float(ALWAYS, "absolute error ", 4,
abserr, 20, " ");
omniout_float(ALWAYS, "relative error ", 4,
relerr, 20, "%");
omniout_float(ALWAYS, "h ", 4,
glob_h, 20, " ")
end if
end proc
> # Begin Function number 4
> adjust_for_pole := proc(h_param)
> global
> glob_iolevel,
> ALWAYS,
> glob_max_terms,
> DEBUGL,
> DEBUGMASSIVE,
> INFO,
> #Top Generate Globals Decl
> glob_log10abserr,
> glob_abserr,
> glob_look_poles,
> glob_last_good_h,
> glob_hmin,
> glob_warned2,
> glob_log10_abserr,
> glob_dump,
> glob_normmax,
> glob_max_trunc_err,
> glob_large_float,
> glob_initial_pass,
> glob_html_log,
> glob_max_minutes,
> glob_start,
> glob_unchanged_h_cnt,
> glob_dump_analytic,
> glob_hmax,
> djd_debug2,
> glob_clock_start_sec,
> centuries_in_millinium,
> djd_debug,
> glob_optimal_expect_sec,
> glob_curr_iter_when_opt,
> glob_optimal_clock_start_sec,
> glob_not_yet_finished,
> glob_clock_sec,
> days_in_year,
> glob_display_flag,
> glob_max_opt_iter,
> glob_orig_start_sec,
> glob_not_yet_start_msg,
> sec_in_min,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_smallish_float,
> glob_no_eqs,
> glob_max_iter,
> glob_relerr,
> glob_log10_relerr,
> glob_disp_incr,
> glob_max_sec,
> glob_warned,
> glob_h,
> glob_subiter_method,
> glob_log10relerr,
> glob_optimal_start,
> glob_hmin_init,
> years_in_century,
> hours_in_day,
> glob_percent_done,
> glob_iter,
> glob_small_float,
> glob_max_rel_trunc_err,
> glob_max_hours,
> glob_optimal_done,
> glob_reached_optimal_h,
> glob_almost_1,
> min_in_hour,
> glob_log10normmin,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_1D0,
> #END CONST
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_norms,
> array_m1,
> array_y,
> array_x,
> array_last_rel_error,
> array_y_init,
> array_type_pole,
> array_pole,
> array_1st_rel_error,
> array_y_set_initial,
> array_complex_pole,
> array_y_higher_work2,
> array_y_higher_work,
> array_real_pole,
> array_y_higher,
> array_poles,
> glob_last;
>
> local hnew, sz2, tmp;
> #TOP ADJUST FOR POLE
>
> hnew := h_param;
> glob_normmax := glob_small_float;
> if (abs(array_y_higher[1,1]) > glob_small_float) then # if number 1
> tmp := abs(array_y_higher[1,1]);
> if (tmp < glob_normmax) then # if number 2
> glob_normmax := tmp;
> fi;# end if 2
> fi;# end if 1
> ;
> if (glob_look_poles and (abs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1
> sz2 := array_pole[1]/10.0;
> if (sz2 < hnew) then # if number 2
> omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity.");
> omniout_str(INFO,"Reached Optimal");
> newline();
> return(hnew);
> fi;# end if 2
> fi;# end if 1
> ;
> if (not glob_reached_optimal_h) then # if number 1
> glob_reached_optimal_h := true;
> glob_curr_iter_when_opt := glob_current_iter;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> glob_optimal_start := array_x[1];
> fi;# end if 1
> ;
> hnew := sz2;
> #END block
> #BOTTOM ADJUST FOR POLE
> # End Function number 4
> end;
adjust_for_pole := proc(h_param)
local hnew, sz2, tmp;
global glob_iolevel, ALWAYS, glob_max_terms, DEBUGL, DEBUGMASSIVE, INFO,
glob_log10abserr, glob_abserr, glob_look_poles, glob_last_good_h, glob_hmin,
glob_warned2, glob_log10_abserr, glob_dump, glob_normmax,
glob_max_trunc_err, glob_large_float, glob_initial_pass, glob_html_log,
glob_max_minutes, glob_start, glob_unchanged_h_cnt, glob_dump_analytic,
glob_hmax, djd_debug2, glob_clock_start_sec, centuries_in_millinium,
djd_debug, glob_optimal_expect_sec, glob_curr_iter_when_opt,
glob_optimal_clock_start_sec, glob_not_yet_finished, glob_clock_sec,
days_in_year, glob_display_flag, glob_max_opt_iter, glob_orig_start_sec,
glob_not_yet_start_msg, sec_in_min, MAX_UNCHANGED, glob_current_iter,
glob_smallish_float, glob_no_eqs, glob_max_iter, glob_relerr,
glob_log10_relerr, glob_disp_incr, glob_max_sec, glob_warned, glob_h,
glob_subiter_method, glob_log10relerr, glob_optimal_start, glob_hmin_init,
years_in_century, hours_in_day, glob_percent_done, glob_iter,
glob_small_float, glob_max_rel_trunc_err, glob_max_hours, glob_optimal_done,
glob_reached_optimal_h, glob_almost_1, min_in_hour, glob_log10normmin,
array_const_1, array_const_0D0, array_const_1D0, array_tmp0, array_tmp1,
array_tmp2, array_norms, array_m1, array_y, array_x, array_last_rel_error,
array_y_init, array_type_pole, array_pole, array_1st_rel_error,
array_y_set_initial, array_complex_pole, array_y_higher_work2,
array_y_higher_work, array_real_pole, array_y_higher, array_poles,
glob_last;
hnew := h_param;
glob_normmax := glob_small_float;
if glob_small_float < abs(array_y_higher[1, 1]) then
tmp := abs(array_y_higher[1, 1]);
if tmp < glob_normmax then glob_normmax := tmp end if
end if;
if glob_look_poles and glob_small_float < abs(array_pole[1]) and
array_pole[1] <> glob_large_float then
sz2 := array_pole[1]/10.0;
if sz2 < hnew then
omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity.");
omniout_str(INFO, "Reached Optimal");
newline();
return hnew
end if
end if;
if not glob_reached_optimal_h then
glob_reached_optimal_h := true;
glob_curr_iter_when_opt := glob_current_iter;
glob_optimal_clock_start_sec := elapsed_time_seconds();
glob_optimal_start := array_x[1]
end if;
hnew := sz2
end proc
> # Begin Function number 5
> prog_report := proc(x_start,x_end)
> global
> glob_iolevel,
> ALWAYS,
> glob_max_terms,
> DEBUGL,
> DEBUGMASSIVE,
> INFO,
> #Top Generate Globals Decl
> glob_log10abserr,
> glob_abserr,
> glob_look_poles,
> glob_last_good_h,
> glob_hmin,
> glob_warned2,
> glob_log10_abserr,
> glob_dump,
> glob_normmax,
> glob_max_trunc_err,
> glob_large_float,
> glob_initial_pass,
> glob_html_log,
> glob_max_minutes,
> glob_start,
> glob_unchanged_h_cnt,
> glob_dump_analytic,
> glob_hmax,
> djd_debug2,
> glob_clock_start_sec,
> centuries_in_millinium,
> djd_debug,
> glob_optimal_expect_sec,
> glob_curr_iter_when_opt,
> glob_optimal_clock_start_sec,
> glob_not_yet_finished,
> glob_clock_sec,
> days_in_year,
> glob_display_flag,
> glob_max_opt_iter,
> glob_orig_start_sec,
> glob_not_yet_start_msg,
> sec_in_min,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_smallish_float,
> glob_no_eqs,
> glob_max_iter,
> glob_relerr,
> glob_log10_relerr,
> glob_disp_incr,
> glob_max_sec,
> glob_warned,
> glob_h,
> glob_subiter_method,
> glob_log10relerr,
> glob_optimal_start,
> glob_hmin_init,
> years_in_century,
> hours_in_day,
> glob_percent_done,
> glob_iter,
> glob_small_float,
> glob_max_rel_trunc_err,
> glob_max_hours,
> glob_optimal_done,
> glob_reached_optimal_h,
> glob_almost_1,
> min_in_hour,
> glob_log10normmin,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_1D0,
> #END CONST
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_norms,
> array_m1,
> array_y,
> array_x,
> array_last_rel_error,
> array_y_init,
> array_type_pole,
> array_pole,
> array_1st_rel_error,
> array_y_set_initial,
> array_complex_pole,
> array_y_higher_work2,
> array_y_higher_work,
> array_real_pole,
> array_y_higher,
> array_poles,
> glob_last;
>
> local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec;
> #TOP PROGRESS REPORT
> clock_sec1 := elapsed_time_seconds();
> total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
> glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
> left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1);
> expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h) ,convfloat( clock_sec1) - convfloat(glob_orig_start_sec));
> opt_clock_sec := convfloat( clock_sec1) - convfloat(glob_optimal_clock_start_sec);
> glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec));
> percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h));
> glob_percent_done := percent_done;
> omniout_str_noeol(INFO,"Total Elapsed Time ");
> omniout_timestr(convfloat(total_clock_sec));
> omniout_str_noeol(INFO,"Elapsed Time(since restart) ");
> omniout_timestr(convfloat(glob_clock_sec));
> if convfloat(percent_done) < convfloat(100.0) then # if number 1
> omniout_str_noeol(INFO,"Expected Time Remaining ");
> omniout_timestr(convfloat(expect_sec));
> omniout_str_noeol(INFO,"Optimized Time Remaining ");
> omniout_timestr(convfloat(glob_optimal_expect_sec));
> fi;# end if 1
> ;
> omniout_str_noeol(INFO,"Time to Timeout ");
> omniout_timestr(convfloat(left_sec));
> omniout_float(INFO, "Percent Done ",33,percent_done,4,"%");
> #BOTTOM PROGRESS REPORT
> # End Function number 5
> end;
prog_report := proc(x_start, x_end)
local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec,
percent_done, total_clock_sec;
global glob_iolevel, ALWAYS, glob_max_terms, DEBUGL, DEBUGMASSIVE, INFO,
glob_log10abserr, glob_abserr, glob_look_poles, glob_last_good_h, glob_hmin,
glob_warned2, glob_log10_abserr, glob_dump, glob_normmax,
glob_max_trunc_err, glob_large_float, glob_initial_pass, glob_html_log,
glob_max_minutes, glob_start, glob_unchanged_h_cnt, glob_dump_analytic,
glob_hmax, djd_debug2, glob_clock_start_sec, centuries_in_millinium,
djd_debug, glob_optimal_expect_sec, glob_curr_iter_when_opt,
glob_optimal_clock_start_sec, glob_not_yet_finished, glob_clock_sec,
days_in_year, glob_display_flag, glob_max_opt_iter, glob_orig_start_sec,
glob_not_yet_start_msg, sec_in_min, MAX_UNCHANGED, glob_current_iter,
glob_smallish_float, glob_no_eqs, glob_max_iter, glob_relerr,
glob_log10_relerr, glob_disp_incr, glob_max_sec, glob_warned, glob_h,
glob_subiter_method, glob_log10relerr, glob_optimal_start, glob_hmin_init,
years_in_century, hours_in_day, glob_percent_done, glob_iter,
glob_small_float, glob_max_rel_trunc_err, glob_max_hours, glob_optimal_done,
glob_reached_optimal_h, glob_almost_1, min_in_hour, glob_log10normmin,
array_const_1, array_const_0D0, array_const_1D0, array_tmp0, array_tmp1,
array_tmp2, array_norms, array_m1, array_y, array_x, array_last_rel_error,
array_y_init, array_type_pole, array_pole, array_1st_rel_error,
array_y_set_initial, array_complex_pole, array_y_higher_work2,
array_y_higher_work, array_real_pole, array_y_higher, array_poles,
glob_last;
clock_sec1 := elapsed_time_seconds();
total_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
glob_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec)
- convfloat(clock_sec1);
expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h),
convfloat(clock_sec1) - convfloat(glob_orig_start_sec));
opt_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec);
glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),
convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h),
convfloat(opt_clock_sec));
percent_done := comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h));
glob_percent_done := percent_done;
omniout_str_noeol(INFO, "Total Elapsed Time ");
omniout_timestr(convfloat(total_clock_sec));
omniout_str_noeol(INFO, "Elapsed Time(since restart) ");
omniout_timestr(convfloat(glob_clock_sec));
if convfloat(percent_done) < convfloat(100.0) then
omniout_str_noeol(INFO, "Expected Time Remaining ");
omniout_timestr(convfloat(expect_sec));
omniout_str_noeol(INFO, "Optimized Time Remaining ");
omniout_timestr(convfloat(glob_optimal_expect_sec))
end if;
omniout_str_noeol(INFO, "Time to Timeout ");
omniout_timestr(convfloat(left_sec));
omniout_float(INFO, "Percent Done ", 33,
percent_done, 4, "%")
end proc
> # Begin Function number 6
> check_for_pole := proc()
> global
> glob_iolevel,
> ALWAYS,
> glob_max_terms,
> DEBUGL,
> DEBUGMASSIVE,
> INFO,
> #Top Generate Globals Decl
> glob_log10abserr,
> glob_abserr,
> glob_look_poles,
> glob_last_good_h,
> glob_hmin,
> glob_warned2,
> glob_log10_abserr,
> glob_dump,
> glob_normmax,
> glob_max_trunc_err,
> glob_large_float,
> glob_initial_pass,
> glob_html_log,
> glob_max_minutes,
> glob_start,
> glob_unchanged_h_cnt,
> glob_dump_analytic,
> glob_hmax,
> djd_debug2,
> glob_clock_start_sec,
> centuries_in_millinium,
> djd_debug,
> glob_optimal_expect_sec,
> glob_curr_iter_when_opt,
> glob_optimal_clock_start_sec,
> glob_not_yet_finished,
> glob_clock_sec,
> days_in_year,
> glob_display_flag,
> glob_max_opt_iter,
> glob_orig_start_sec,
> glob_not_yet_start_msg,
> sec_in_min,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_smallish_float,
> glob_no_eqs,
> glob_max_iter,
> glob_relerr,
> glob_log10_relerr,
> glob_disp_incr,
> glob_max_sec,
> glob_warned,
> glob_h,
> glob_subiter_method,
> glob_log10relerr,
> glob_optimal_start,
> glob_hmin_init,
> years_in_century,
> hours_in_day,
> glob_percent_done,
> glob_iter,
> glob_small_float,
> glob_max_rel_trunc_err,
> glob_max_hours,
> glob_optimal_done,
> glob_reached_optimal_h,
> glob_almost_1,
> min_in_hour,
> glob_log10normmin,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_1D0,
> #END CONST
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_norms,
> array_m1,
> array_y,
> array_x,
> array_last_rel_error,
> array_y_init,
> array_type_pole,
> array_pole,
> array_1st_rel_error,
> array_y_set_initial,
> array_complex_pole,
> array_y_higher_work2,
> array_y_higher_work,
> array_real_pole,
> array_y_higher,
> array_poles,
> glob_last;
>
> local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found;
> #TOP CHECK FOR POLE
> #IN RADII REAL EQ = 1
> #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 1
> #Applies to pole of arbitrary r_order on the real axis,
> #Due to Prof. George Corliss.
> n := glob_max_terms;
> m := n - 1 - 1;
> while ((m >= 10) and ((abs(array_y_higher[1,m]) < glob_small_float) or (abs(array_y_higher[1,m-1]) < glob_small_float) or (abs(array_y_higher[1,m-2]) < glob_small_float ))) do # do number 2
> m := m - 1;
> od;# end do number 2
> ;
> if (m > 10) then # if number 1
> rm0 := array_y_higher[1,m]/array_y_higher[1,m-1];
> rm1 := array_y_higher[1,m-1]/array_y_higher[1,m-2];
> hdrc := convfloat(m-1)*rm0-convfloat(m-2)*rm1;
> if (abs(hdrc) > glob_small_float) then # if number 2
> rcs := glob_h/hdrc;
> ord_no := convfloat(m-1)*rm0/hdrc - convfloat(m) + 2.0;
> array_real_pole[1,1] := rcs;
> array_real_pole[1,2] := ord_no;
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 2
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 1
> ;
> #BOTTOM RADII REAL EQ = 1
> #TOP RADII COMPLEX EQ = 1
> #Computes radius of convergence for complex conjugate pair of poles.
> #from 6 adjacent Taylor series terms
> #Also computes r_order of poles.
> #Due to Manuel Prieto.
> #With a correction by Dennis J. Darland
> n := glob_max_terms - 1 - 1;
> cnt := 0;
> while ((cnt < 5) and (n >= 10)) do # do number 2
> if (abs(array_y_higher[1,n]) > glob_small_float) then # if number 1
> cnt := cnt + 1;
> else
> cnt := 0;
> fi;# end if 1
> ;
> n := n - 1;
> od;# end do number 2
> ;
> m := n + cnt;
> if (m <= 10) then # if number 1
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := glob_large_float;
> elif (abs(array_y_higher[1,m]) >= (glob_large_float)) or (abs(array_y_higher[1,m-1]) >=(glob_large_float)) or (abs(array_y_higher[1,m-2]) >= (glob_large_float)) or (abs(array_y_higher[1,m-3]) >= (glob_large_float)) or (abs(array_y_higher[1,m-4]) >= (glob_large_float)) or (abs(array_y_higher[1,m-5]) >= (glob_large_float)) then # if number 2
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := glob_large_float;
> else
> rm0 := (array_y_higher[1,m])/(array_y_higher[1,m-1]);
> rm1 := (array_y_higher[1,m-1])/(array_y_higher[1,m-2]);
> rm2 := (array_y_higher[1,m-2])/(array_y_higher[1,m-3]);
> rm3 := (array_y_higher[1,m-3])/(array_y_higher[1,m-4]);
> rm4 := (array_y_higher[1,m-4])/(array_y_higher[1,m-5]);
> nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2;
> nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3;
> dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
> dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
> ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
> ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
> if ((abs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (abs(dr1) <= glob_small_float)) then # if number 3
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := glob_large_float;
> else
> if (abs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 4
> rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1));
> #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1)
> ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0;
> if (abs(rcs) > glob_small_float) then # if number 5
> if (rcs > 0.0) then # if number 6
> rad_c := sqrt(rcs) * glob_h;
> else
> rad_c := glob_large_float;
> fi;# end if 6
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 5
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 4
> fi;# end if 3
> ;
> array_complex_pole[1,1] := rad_c;
> array_complex_pole[1,2] := ord_no;
> fi;# end if 2
> ;
> #BOTTOM RADII COMPLEX EQ = 1
> found := false;
> #TOP WHICH RADII EQ = 1
> if not found and ((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float)) and ((array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0)) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> found := true;
> array_type_pole[1] := 2;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"Complex estimate of poles used");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> if not found and ((array_real_pole[1,1] <> glob_large_float) and (array_real_pole[1,2] <> glob_large_float) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float) or (array_complex_pole[1,1] <= 0.0 ) or (array_complex_pole[1,2] <= 0.0))) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found := true;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"Real estimate of pole used");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> if not found and (((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float))) then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> found := true;
> array_type_pole[1] := 3;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"NO POLE");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> if not found and ((array_real_pole[1,1] < array_complex_pole[1,1]) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0)) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found := true;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"Real estimate of pole used");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> if not found and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float) and (array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0)) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> array_type_pole[1] := 2;
> found := true;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"Complex estimate of poles used");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> if not found then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> array_type_pole[1] := 3;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"NO POLE");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> #BOTTOM WHICH RADII EQ = 1
> array_pole[1] := glob_large_float;
> array_pole[2] := glob_large_float;
> #TOP WHICH RADIUS EQ = 1
> if array_pole[1] > array_poles[1,1] then # if number 2
> array_pole[1] := array_poles[1,1];
> array_pole[2] := array_poles[1,2];
> fi;# end if 2
> ;
> #BOTTOM WHICH RADIUS EQ = 1
> #BOTTOM CHECK FOR POLE
> display_pole();
> # End Function number 6
> end;
check_for_pole := proc()
local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs,
rm0, rm1, rm2, rm3, rm4, found;
global glob_iolevel, ALWAYS, glob_max_terms, DEBUGL, DEBUGMASSIVE, INFO,
glob_log10abserr, glob_abserr, glob_look_poles, glob_last_good_h, glob_hmin,
glob_warned2, glob_log10_abserr, glob_dump, glob_normmax,
glob_max_trunc_err, glob_large_float, glob_initial_pass, glob_html_log,
glob_max_minutes, glob_start, glob_unchanged_h_cnt, glob_dump_analytic,
glob_hmax, djd_debug2, glob_clock_start_sec, centuries_in_millinium,
djd_debug, glob_optimal_expect_sec, glob_curr_iter_when_opt,
glob_optimal_clock_start_sec, glob_not_yet_finished, glob_clock_sec,
days_in_year, glob_display_flag, glob_max_opt_iter, glob_orig_start_sec,
glob_not_yet_start_msg, sec_in_min, MAX_UNCHANGED, glob_current_iter,
glob_smallish_float, glob_no_eqs, glob_max_iter, glob_relerr,
glob_log10_relerr, glob_disp_incr, glob_max_sec, glob_warned, glob_h,
glob_subiter_method, glob_log10relerr, glob_optimal_start, glob_hmin_init,
years_in_century, hours_in_day, glob_percent_done, glob_iter,
glob_small_float, glob_max_rel_trunc_err, glob_max_hours, glob_optimal_done,
glob_reached_optimal_h, glob_almost_1, min_in_hour, glob_log10normmin,
array_const_1, array_const_0D0, array_const_1D0, array_tmp0, array_tmp1,
array_tmp2, array_norms, array_m1, array_y, array_x, array_last_rel_error,
array_y_init, array_type_pole, array_pole, array_1st_rel_error,
array_y_set_initial, array_complex_pole, array_y_higher_work2,
array_y_higher_work, array_real_pole, array_y_higher, array_poles,
glob_last;
n := glob_max_terms;
m := n - 2;
while 10 <= m and (abs(array_y_higher[1, m]) < glob_small_float or
abs(array_y_higher[1, m - 1]) < glob_small_float or
abs(array_y_higher[1, m - 2]) < glob_small_float) do m := m - 1
end do;
if 10 < m then
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
hdrc := convfloat(m - 1)*rm0 - convfloat(m - 2)*rm1;
if glob_small_float < abs(hdrc) then
rcs := glob_h/hdrc;
ord_no := convfloat(m - 1)*rm0/hdrc - convfloat(m) + 2.0;
array_real_pole[1, 1] := rcs;
array_real_pole[1, 2] := ord_no
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if;
n := glob_max_terms - 2;
cnt := 0;
while cnt < 5 and 10 <= n do
if glob_small_float < abs(array_y_higher[1, n]) then cnt := cnt + 1
else cnt := 0
end if;
n := n - 1
end do;
m := n + cnt;
if m <= 10 then
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := glob_large_float
elif glob_large_float <= abs(array_y_higher[1, m]) or
glob_large_float <= abs(array_y_higher[1, m - 1]) or
glob_large_float <= abs(array_y_higher[1, m - 2]) or
glob_large_float <= abs(array_y_higher[1, m - 3]) or
glob_large_float <= abs(array_y_higher[1, m - 4]) or
glob_large_float <= abs(array_y_higher[1, m - 5]) then
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := glob_large_float
else
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
rm2 := array_y_higher[1, m - 2]/array_y_higher[1, m - 3];
rm3 := array_y_higher[1, m - 3]/array_y_higher[1, m - 4];
rm4 := array_y_higher[1, m - 4]/array_y_higher[1, m - 5];
nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1
+ convfloat(m - 3)*rm2;
nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2
+ convfloat(m - 4)*rm3;
dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
if abs(nr1*dr2 - nr2*dr1) <= glob_small_float or
abs(dr1) <= glob_small_float then
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := glob_large_float
else
if glob_small_float < abs(nr1*dr2 - nr2*dr1) then
rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1);
ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0;
if glob_small_float < abs(rcs) then
if 0. < rcs then rad_c := sqrt(rcs)*glob_h
else rad_c := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
end if;
array_complex_pole[1, 1] := rad_c;
array_complex_pole[1, 2] := ord_no
end if;
found := false;
if not found and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and
array_complex_pole[1, 1] <> glob_large_float and
array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
found := true;
array_type_pole[1] := 2;
if glob_display_flag then
omniout_str(ALWAYS, "Complex estimate of poles used")
end if
end if;
if not found and array_real_pole[1, 1] <> glob_large_float and
array_real_pole[1, 2] <> glob_large_float and
0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float or
array_complex_pole[1, 1] <= 0. or array_complex_pole[1, 2] <= 0.) then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found := true;
array_type_pole[1] := 1;
if glob_display_flag then
omniout_str(ALWAYS, "Real estimate of pole used")
end if
end if;
if not found and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float) then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
found := true;
array_type_pole[1] := 3;
if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if
end if;
if not found and array_real_pole[1, 1] < array_complex_pole[1, 1] and
0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found := true;
array_type_pole[1] := 1;
if glob_display_flag then
omniout_str(ALWAYS, "Real estimate of pole used")
end if
end if;
if not found and array_complex_pole[1, 1] <> glob_large_float and
array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
array_type_pole[1] := 2;
found := true;
if glob_display_flag then
omniout_str(ALWAYS, "Complex estimate of poles used")
end if
end if;
if not found then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
array_type_pole[1] := 3;
if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if
end if;
array_pole[1] := glob_large_float;
array_pole[2] := glob_large_float;
if array_poles[1, 1] < array_pole[1] then
array_pole[1] := array_poles[1, 1];
array_pole[2] := array_poles[1, 2]
end if;
display_pole()
end proc
> # Begin Function number 7
> get_norms := proc()
> global
> glob_iolevel,
> ALWAYS,
> glob_max_terms,
> DEBUGL,
> DEBUGMASSIVE,
> INFO,
> #Top Generate Globals Decl
> glob_log10abserr,
> glob_abserr,
> glob_look_poles,
> glob_last_good_h,
> glob_hmin,
> glob_warned2,
> glob_log10_abserr,
> glob_dump,
> glob_normmax,
> glob_max_trunc_err,
> glob_large_float,
> glob_initial_pass,
> glob_html_log,
> glob_max_minutes,
> glob_start,
> glob_unchanged_h_cnt,
> glob_dump_analytic,
> glob_hmax,
> djd_debug2,
> glob_clock_start_sec,
> centuries_in_millinium,
> djd_debug,
> glob_optimal_expect_sec,
> glob_curr_iter_when_opt,
> glob_optimal_clock_start_sec,
> glob_not_yet_finished,
> glob_clock_sec,
> days_in_year,
> glob_display_flag,
> glob_max_opt_iter,
> glob_orig_start_sec,
> glob_not_yet_start_msg,
> sec_in_min,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_smallish_float,
> glob_no_eqs,
> glob_max_iter,
> glob_relerr,
> glob_log10_relerr,
> glob_disp_incr,
> glob_max_sec,
> glob_warned,
> glob_h,
> glob_subiter_method,
> glob_log10relerr,
> glob_optimal_start,
> glob_hmin_init,
> years_in_century,
> hours_in_day,
> glob_percent_done,
> glob_iter,
> glob_small_float,
> glob_max_rel_trunc_err,
> glob_max_hours,
> glob_optimal_done,
> glob_reached_optimal_h,
> glob_almost_1,
> min_in_hour,
> glob_log10normmin,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_1D0,
> #END CONST
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_norms,
> array_m1,
> array_y,
> array_x,
> array_last_rel_error,
> array_y_init,
> array_type_pole,
> array_pole,
> array_1st_rel_error,
> array_y_set_initial,
> array_complex_pole,
> array_y_higher_work2,
> array_y_higher_work,
> array_real_pole,
> array_y_higher,
> array_poles,
> glob_last;
>
> local iii;
> if (not glob_initial_pass) then # if number 2
> set_z(array_norms,glob_max_terms+1);
> #TOP GET NORMS
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> if (abs(array_y[iii]) > array_norms[iii]) then # if number 3
> array_norms[iii] := abs(array_y[iii]);
> fi;# end if 3
> ;
> iii := iii + 1;
> od;# end do number 2
> #GET NORMS
> ;
> fi;# end if 2
> ;
> # End Function number 7
> end;
get_norms := proc()
local iii;
global glob_iolevel, ALWAYS, glob_max_terms, DEBUGL, DEBUGMASSIVE, INFO,
glob_log10abserr, glob_abserr, glob_look_poles, glob_last_good_h, glob_hmin,
glob_warned2, glob_log10_abserr, glob_dump, glob_normmax,
glob_max_trunc_err, glob_large_float, glob_initial_pass, glob_html_log,
glob_max_minutes, glob_start, glob_unchanged_h_cnt, glob_dump_analytic,
glob_hmax, djd_debug2, glob_clock_start_sec, centuries_in_millinium,
djd_debug, glob_optimal_expect_sec, glob_curr_iter_when_opt,
glob_optimal_clock_start_sec, glob_not_yet_finished, glob_clock_sec,
days_in_year, glob_display_flag, glob_max_opt_iter, glob_orig_start_sec,
glob_not_yet_start_msg, sec_in_min, MAX_UNCHANGED, glob_current_iter,
glob_smallish_float, glob_no_eqs, glob_max_iter, glob_relerr,
glob_log10_relerr, glob_disp_incr, glob_max_sec, glob_warned, glob_h,
glob_subiter_method, glob_log10relerr, glob_optimal_start, glob_hmin_init,
years_in_century, hours_in_day, glob_percent_done, glob_iter,
glob_small_float, glob_max_rel_trunc_err, glob_max_hours, glob_optimal_done,
glob_reached_optimal_h, glob_almost_1, min_in_hour, glob_log10normmin,
array_const_1, array_const_0D0, array_const_1D0, array_tmp0, array_tmp1,
array_tmp2, array_norms, array_m1, array_y, array_x, array_last_rel_error,
array_y_init, array_type_pole, array_pole, array_1st_rel_error,
array_y_set_initial, array_complex_pole, array_y_higher_work2,
array_y_higher_work, array_real_pole, array_y_higher, array_poles,
glob_last;
if not glob_initial_pass then
set_z(array_norms, glob_max_terms + 1);
iii := 1;
while iii <= glob_max_terms do
if array_norms[iii] < abs(array_y[iii]) then
array_norms[iii] := abs(array_y[iii])
end if;
iii := iii + 1
end do
end if
end proc
> # Begin Function number 8
> atomall := proc()
> global
> glob_iolevel,
> ALWAYS,
> glob_max_terms,
> DEBUGL,
> DEBUGMASSIVE,
> INFO,
> #Top Generate Globals Decl
> glob_log10abserr,
> glob_abserr,
> glob_look_poles,
> glob_last_good_h,
> glob_hmin,
> glob_warned2,
> glob_log10_abserr,
> glob_dump,
> glob_normmax,
> glob_max_trunc_err,
> glob_large_float,
> glob_initial_pass,
> glob_html_log,
> glob_max_minutes,
> glob_start,
> glob_unchanged_h_cnt,
> glob_dump_analytic,
> glob_hmax,
> djd_debug2,
> glob_clock_start_sec,
> centuries_in_millinium,
> djd_debug,
> glob_optimal_expect_sec,
> glob_curr_iter_when_opt,
> glob_optimal_clock_start_sec,
> glob_not_yet_finished,
> glob_clock_sec,
> days_in_year,
> glob_display_flag,
> glob_max_opt_iter,
> glob_orig_start_sec,
> glob_not_yet_start_msg,
> sec_in_min,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_smallish_float,
> glob_no_eqs,
> glob_max_iter,
> glob_relerr,
> glob_log10_relerr,
> glob_disp_incr,
> glob_max_sec,
> glob_warned,
> glob_h,
> glob_subiter_method,
> glob_log10relerr,
> glob_optimal_start,
> glob_hmin_init,
> years_in_century,
> hours_in_day,
> glob_percent_done,
> glob_iter,
> glob_small_float,
> glob_max_rel_trunc_err,
> glob_max_hours,
> glob_optimal_done,
> glob_reached_optimal_h,
> glob_almost_1,
> min_in_hour,
> glob_log10normmin,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_1D0,
> #END CONST
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_norms,
> array_m1,
> array_y,
> array_x,
> array_last_rel_error,
> array_y_init,
> array_type_pole,
> array_pole,
> array_1st_rel_error,
> array_y_set_initial,
> array_complex_pole,
> array_y_higher_work2,
> array_y_higher_work,
> array_real_pole,
> array_y_higher,
> array_poles,
> glob_last;
>
> local kkk, order_d, adj2, temporary, term;
> #TOP ATOMALL
> #END OUTFILE1
> #BEGIN ATOMHDR1
> #emit pre add $eq_no = 1 i = 1
> array_tmp1[1] := array_const_0D0[1] + array_y[1];
> #emit pre sub $eq_no = 1 i = 1
> array_tmp2[1] := (array_tmp1[1] - (array_const_1D0[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 add $eq_no = 1 i = 2
> array_tmp1[2] := array_const_0D0[2] + array_y[2];
> #emit pre sub $eq_no = 1 i = 2
> array_tmp2[2] := (array_tmp1[2] - (array_const_1D0[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 add $eq_no = 1 i = 3
> array_tmp1[3] := array_const_0D0[3] + array_y[3];
> #emit pre sub $eq_no = 1 i = 3
> array_tmp2[3] := (array_tmp1[3] - (array_const_1D0[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 add $eq_no = 1 i = 4
> array_tmp1[4] := array_const_0D0[4] + array_y[4];
> #emit pre sub $eq_no = 1 i = 4
> array_tmp2[4] := (array_tmp1[4] - (array_const_1D0[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 add $eq_no = 1 i = 5
> array_tmp1[5] := array_const_0D0[5] + array_y[5];
> #emit pre sub $eq_no = 1 i = 5
> array_tmp2[5] := (array_tmp1[5] - (array_const_1D0[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 add $eq_no = 1
> array_tmp1[kkk] := array_const_0D0[kkk] + array_y[kkk];
> #emit sub $eq_no = 1
> array_tmp2[kkk] := (array_tmp1[kkk] - (array_const_1D0[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_iolevel, ALWAYS, glob_max_terms, DEBUGL, DEBUGMASSIVE, INFO,
glob_log10abserr, glob_abserr, glob_look_poles, glob_last_good_h, glob_hmin,
glob_warned2, glob_log10_abserr, glob_dump, glob_normmax,
glob_max_trunc_err, glob_large_float, glob_initial_pass, glob_html_log,
glob_max_minutes, glob_start, glob_unchanged_h_cnt, glob_dump_analytic,
glob_hmax, djd_debug2, glob_clock_start_sec, centuries_in_millinium,
djd_debug, glob_optimal_expect_sec, glob_curr_iter_when_opt,
glob_optimal_clock_start_sec, glob_not_yet_finished, glob_clock_sec,
days_in_year, glob_display_flag, glob_max_opt_iter, glob_orig_start_sec,
glob_not_yet_start_msg, sec_in_min, MAX_UNCHANGED, glob_current_iter,
glob_smallish_float, glob_no_eqs, glob_max_iter, glob_relerr,
glob_log10_relerr, glob_disp_incr, glob_max_sec, glob_warned, glob_h,
glob_subiter_method, glob_log10relerr, glob_optimal_start, glob_hmin_init,
years_in_century, hours_in_day, glob_percent_done, glob_iter,
glob_small_float, glob_max_rel_trunc_err, glob_max_hours, glob_optimal_done,
glob_reached_optimal_h, glob_almost_1, min_in_hour, glob_log10normmin,
array_const_1, array_const_0D0, array_const_1D0, array_tmp0, array_tmp1,
array_tmp2, array_norms, array_m1, array_y, array_x, array_last_rel_error,
array_y_init, array_type_pole, array_pole, array_1st_rel_error,
array_y_set_initial, array_complex_pole, array_y_higher_work2,
array_y_higher_work, array_real_pole, array_y_higher, array_poles,
glob_last;
array_tmp1[1] := array_const_0D0[1] + array_y[1];
array_tmp2[1] := array_tmp1[1] - array_const_1D0[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[2] := array_const_0D0[2] + array_y[2];
array_tmp2[2] := array_tmp1[2] - array_const_1D0[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[3] := array_const_0D0[3] + array_y[3];
array_tmp2[3] := array_tmp1[3] - array_const_1D0[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[4] := array_const_0D0[4] + array_y[4];
array_tmp2[4] := array_tmp1[4] - array_const_1D0[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[5] := array_const_0D0[5] + array_y[5];
array_tmp2[5] := array_tmp1[5] - array_const_1D0[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[kkk] := array_const_0D0[kkk] + array_y[kkk];
array_tmp2[kkk] := array_tmp1[kkk] - array_const_1D0[kkk];
order_d := 1;
if kkk + order_d + 1 <= glob_max_terms then
if not array_y_set_initial[1, kkk + order_d] then
temporary := array_tmp2[kkk]*glob_h^order_d/
factorial_3(kkk - 1, kkk + order_d - 1);
array_y[kkk + order_d] := temporary;
array_y_higher[1, kkk + order_d] := temporary;
term := kkk + order_d - 1;
adj2 := 2;
while adj2 <= order_d + 1 and 1 <= term do
temporary := temporary*convfp(adj2)/glob_h;
array_y_higher[adj2, term] := temporary;
adj2 := adj2 + 1;
term := term - 1
end do
end if
end if;
kkk := kkk + 1
end do
end proc
> #BEGIN ATS LIBRARY BLOCK
> omniout_str := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> printf("%s\n",str);
> fi;
> # End Function number 1
> end;
omniout_str := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s\n", str) end if
end proc
> omniout_str_noeol := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> printf("%s",str);
> fi;
> # End Function number 1
> end;
omniout_str_noeol := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s", str) end if
end proc
> omniout_labstr := proc(iolevel,label,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> print(label,str);
> fi;
> # End Function number 1
> end;
omniout_labstr := proc(iolevel, label, str)
global glob_iolevel;
if iolevel <= glob_iolevel then print(label, str) end if
end proc
> omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> if vallen = 4 then
> printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel);
> else
> printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel);
> fi;
> fi;
> # End Function number 1
> end;
omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 4 then
printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel)
else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel)
end if
end if
end proc
> omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> if vallen = 5 then
> printf("%-30s = %-32d %s\n",prelabel,value, postlabel);
> else
> printf("%-30s = %-32d %s \n",prelabel,value, postlabel);
> fi;
> fi;
> # End Function number 1
> end;
omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 5 then
printf("%-30s = %-32d %s\n", prelabel, value, postlabel)
else printf("%-30s = %-32d %s \n", prelabel, value, postlabel)
end if
end if
end proc
> omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> print(prelabel,"[",elemnt,"]",value, postlabel);
> fi;
> # End Function number 1
> end;
omniout_float_arr := proc(
iolevel, prelabel, elemnt, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
print(prelabel, "[", elemnt, "]", value, postlabel)
end if
end proc
> dump_series := proc(iolevel,dump_label,series_name,
> array_series,numb)
> global glob_iolevel;
> local i;
> if (glob_iolevel >= iolevel) then
> i := 1;
> while (i <= numb) do
> print(dump_label,series_name
> ,i,array_series[i]);
> i := i + 1;
> od;
> fi;
> # End Function number 1
> end;
dump_series := proc(iolevel, dump_label, series_name, array_series, numb)
local i;
global glob_iolevel;
if iolevel <= glob_iolevel then
i := 1;
while i <= numb do
print(dump_label, series_name, i, array_series[i]); i := i + 1
end do
end if
end proc
> dump_series_2 := proc(iolevel,dump_label,series_name2,
> array_series2,numb,subnum,array_x)
> global glob_iolevel;
> local i,sub,ts_term;
> if (glob_iolevel >= iolevel) then
> sub := 1;
> while (sub <= subnum) do
> i := 1;
> while (i <= numb) do
> print(dump_label,series_name2,sub,i,array_series2[sub,i]);
> od;
> sub := sub + 1;
> od;
> fi;
> # End Function number 1
> end;
dump_series_2 := proc(
iolevel, dump_label, series_name2, array_series2, numb, subnum, array_x)
local i, sub, ts_term;
global glob_iolevel;
if iolevel <= glob_iolevel then
sub := 1;
while sub <= subnum do
i := 1;
while i <= numb do print(dump_label, series_name2, sub, i,
array_series2[sub, i])
end do;
sub := sub + 1
end do
end if
end proc
> cs_info := proc(iolevel,str)
> global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h;
> if (glob_iolevel >= iolevel) then
> print("cs_info " , str , " glob_correct_start_flag = " , glob_correct_start_flag , "glob_h := " , glob_h , "glob_reached_optimal_h := " , glob_reached_optimal_h)
> fi;
> # End Function number 1
> end;
cs_info := proc(iolevel, str)
global
glob_iolevel, glob_correct_start_flag, glob_h, glob_reached_optimal_h;
if iolevel <= glob_iolevel then print("cs_info ", str,
" glob_correct_start_flag = ", glob_correct_start_flag,
"glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h)
end if
end proc
> # Begin Function number 2
> logitem_time := proc(fd,secs_in)
> global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century;
> local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int;
> secs := (secs_in);
> if (secs > 0.0) then # if number 1
> sec_in_millinium := convfloat(sec_in_min * min_in_hour * hours_in_day * days_in_year * years_in_century * centuries_in_millinium);
> milliniums := convfloat(secs / sec_in_millinium);
> millinium_int := floor(milliniums);
> centuries := (milliniums - millinium_int)*centuries_in_millinium;
> cent_int := floor(centuries);
> years := (centuries - cent_int) * years_in_century;
> years_int := floor(years);
> days := (years - years_int) * days_in_year;
> days_int := floor(days);
> hours := (days - days_int) * hours_in_day;
> hours_int := floor(hours);
> minutes := (hours - hours_int) * min_in_hour;
> minutes_int := floor(minutes);
> seconds := (minutes - minutes_int) * sec_in_min;
> sec_int := floor(seconds);
> fprintf(fd,"
");
> if (millinium_int > 0) then # if number 2
> fprintf(fd,"%d Millinia %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",millinium_int,cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (cent_int > 0) then # if number 3
> fprintf(fd,"%d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (years_int > 0) then # if number 4
> fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int);
> elif (days_int > 0) then # if number 5
> fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int);
> elif (hours_int > 0) then # if number 6
> fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int);
> elif (minutes_int > 0) then # if number 7
> fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int);
> else
> fprintf(fd,"%d Seconds",sec_int);
> fi;# end if 7
> else
> fprintf(fd,"Unknown");
> fi;# end if 6
> fprintf(fd," | ");
> # End Function number 2
> end;
logitem_time := proc(fd, secs_in)
local cent_int, centuries, days, days_int, hours, hours_int, millinium_int,
milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs,
years, years_int;
global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour,
sec_in_min, years_in_century;
secs := secs_in;
if 0. < secs then
sec_in_millinium := convfloat(sec_in_min*min_in_hour*hours_in_day*
days_in_year*years_in_century*centuries_in_millinium);
milliniums := convfloat(secs/sec_in_millinium);
millinium_int := floor(milliniums);
centuries := (milliniums - millinium_int)*centuries_in_millinium;
cent_int := floor(centuries);
years := (centuries - cent_int)*years_in_century;
years_int := floor(years);
days := (years - years_int)*days_in_year;
days_int := floor(days);
hours := (days - days_int)*hours_in_day;
hours_int := floor(hours);
minutes := (hours - hours_int)*min_in_hour;
minutes_int := floor(minutes);
seconds := (minutes - minutes_int)*sec_in_min;
sec_int := floor(seconds);
fprintf(fd, "");
if 0 < millinium_int then fprintf(fd, "%d Millinia %d Centuries %\
d Years %d Days %d Hours %d Minutes %d Seconds", millinium_int,
cent_int, years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < cent_int then fprintf(fd,
"%d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",
cent_int, years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < years_int then fprintf(fd,
"%d Years %d Days %d Hours %d Minutes %d Seconds", years_int,
days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then fprintf(fd,
"%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int,
minutes_int, sec_int)
elif 0 < hours_int then fprintf(fd,
"%d Hours %d Minutes %d Seconds", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int)
else fprintf(fd, "%d Seconds", sec_int)
end if
else fprintf(fd, "Unknown")
end if;
fprintf(fd, " | ")
end proc
> omniout_timestr := proc (secs_in)
> global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century;
> local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int;
> secs := convfloat(secs_in);
> if (secs > 0.0) then # if number 6
> sec_in_millinium := convfloat(sec_in_min * min_in_hour * hours_in_day * days_in_year * years_in_century * centuries_in_millinium);
> milliniums := convfloat(secs / sec_in_millinium);
> millinium_int := floor(milliniums);
> centuries := (milliniums - millinium_int)*centuries_in_millinium;
> cent_int := floor(centuries);
> years := (centuries - cent_int) * years_in_century;
> years_int := floor(years);
> days := (years - years_int) * days_in_year;
> days_int := floor(days);
> hours := (days - days_int) * hours_in_day;
> hours_int := floor(hours);
> minutes := (hours - hours_int) * min_in_hour;
> minutes_int := floor(minutes);
> seconds := (minutes - minutes_int) * sec_in_min;
> sec_int := floor(seconds);
>
> if (millinium_int > 0) then # if number 7
> printf(" = %d Millinia %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds\n",millinium_int,cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (cent_int > 0) then # if number 8
> printf(" = %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds\n",cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (years_int > 0) then # if number 9
> printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int);
> elif (days_int > 0) then # if number 10
> printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int);
> elif (hours_int > 0) then # if number 11
> printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int);
> elif (minutes_int > 0) then # if number 12
> printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int);
> else
> printf(" = %d Seconds\n",sec_int);
> fi;# end if 12
> else
> printf(" Unknown\n");
> fi;# end if 11
> # End Function number 2
> end;
omniout_timestr := proc(secs_in)
local cent_int, centuries, days, days_int, hours, hours_int, millinium_int,
milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs,
years, years_int;
global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour,
sec_in_min, years_in_century;
secs := convfloat(secs_in);
if 0. < secs then
sec_in_millinium := convfloat(sec_in_min*min_in_hour*hours_in_day*
days_in_year*years_in_century*centuries_in_millinium);
milliniums := convfloat(secs/sec_in_millinium);
millinium_int := floor(milliniums);
centuries := (milliniums - millinium_int)*centuries_in_millinium;
cent_int := floor(centuries);
years := (centuries - cent_int)*years_in_century;
years_int := floor(years);
days := (years - years_int)*days_in_year;
days_int := floor(days);
hours := (days - days_int)*hours_in_day;
hours_int := floor(hours);
minutes := (hours - hours_int)*min_in_hour;
minutes_int := floor(minutes);
seconds := (minutes - minutes_int)*sec_in_min;
sec_int := floor(seconds);
if 0 < millinium_int then printf(" = %d Millinia %d Centuries %d\
Years %d Days %d Hours %d Minutes %d Seconds\n", millinium_int,
cent_int, years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < cent_int then printf(" = %d Centuries %d Years %d Days \
%d Hours %d Minutes %d Seconds\n", cent_int, years_int,
days_int, hours_int, minutes_int, sec_int)
elif 0 < years_int then printf(
" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",
years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then printf(
" = %d Days %d Hours %d Minutes %d Seconds\n", days_int,
hours_int, minutes_int, sec_int)
elif 0 < hours_int then printf(
" = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int)
else printf(" = %d Seconds\n", sec_int)
end if
else printf(" Unknown\n")
end if
end proc
>
> # Begin Function number 3
> ats := proc(
> mmm_ats,array_a,array_b,jjj_ats)
> local iii_ats, lll_ats,ma_ats, ret_ats;
> ret_ats := 0.0;
> if (jjj_ats <= mmm_ats) then # if number 11
> ma_ats := mmm_ats + 1;
> iii_ats := jjj_ats;
> while (iii_ats <= mmm_ats) do # do number 1
> lll_ats := ma_ats - iii_ats;
> ret_ats := ret_ats + array_a[iii_ats]*array_b[lll_ats];
> iii_ats := iii_ats + 1;
> od;# end do number 1
> fi;# end if 11
> ;
> ret_ats
> # End Function number 3
> end;
ats := proc(mmm_ats, array_a, array_b, jjj_ats)
local iii_ats, lll_ats, ma_ats, ret_ats;
ret_ats := 0.;
if jjj_ats <= mmm_ats then
ma_ats := mmm_ats + 1;
iii_ats := jjj_ats;
while iii_ats <= mmm_ats do
lll_ats := ma_ats - iii_ats;
ret_ats := ret_ats + array_a[iii_ats]*array_b[lll_ats];
iii_ats := iii_ats + 1
end do
end if;
ret_ats
end proc
>
> # Begin Function number 4
> att := proc(
> mmm_att,array_aa,array_bb,jjj_att)
> global glob_max_terms;
> local al_att, iii_att,lll_att, ma_att, ret_att;
> ret_att := 0.0;
> if (jjj_att <= mmm_att) then # if number 11
> ma_att := mmm_att + 2;
> iii_att := jjj_att;
> while (iii_att <= mmm_att) do # do number 1
> lll_att := ma_att - iii_att;
> al_att := (lll_att - 1);
> if (lll_att <= glob_max_terms) then # if number 12
> ret_att := ret_att + array_aa[iii_att]*array_bb[lll_att]* convfp(al_att);
> fi;# end if 12
> ;
> iii_att := iii_att + 1;
> od;# end do number 1
> ;
> ret_att := ret_att / convfp(mmm_att) ;
> fi;# end if 11
> ;
> ret_att;
> # End Function number 4
> end;
att := proc(mmm_att, array_aa, array_bb, jjj_att)
local al_att, iii_att, lll_att, ma_att, ret_att;
global glob_max_terms;
ret_att := 0.;
if jjj_att <= mmm_att then
ma_att := mmm_att + 2;
iii_att := jjj_att;
while iii_att <= mmm_att do
lll_att := ma_att - iii_att;
al_att := lll_att - 1;
if lll_att <= glob_max_terms then ret_att := ret_att
+ array_aa[iii_att]*array_bb[lll_att]*convfp(al_att)
end if;
iii_att := iii_att + 1
end do;
ret_att := ret_att/convfp(mmm_att)
end if;
ret_att
end proc
> # Begin Function number 5
> display_pole := proc()
> global ALWAYS,glob_display_flag, glob_large_float, array_pole;
> if ((array_pole[1] <> glob_large_float) and (array_pole[1] > 0.0) and (array_pole[2] <> glob_large_float) and (array_pole[2]> 0.0) and glob_display_flag) then # if number 11
> omniout_float(ALWAYS,"Radius of convergence ",4, array_pole[1],4," ");
> omniout_float(ALWAYS,"Order of pole ",4, array_pole[2],4," ");
> fi;# end if 11
> # End Function number 5
> end;
display_pole := proc()
global ALWAYS, glob_display_flag, glob_large_float, array_pole;
if array_pole[1] <> glob_large_float and 0. < array_pole[1] and
array_pole[2] <> glob_large_float and 0. < array_pole[2] and
glob_display_flag then
omniout_float(ALWAYS, "Radius of convergence ", 4,
array_pole[1], 4, " ");
omniout_float(ALWAYS, "Order of pole ", 4,
array_pole[2], 4, " ")
end if
end proc
> # Begin Function number 6
> logditto := proc(file)
> fprintf(file,"");
> fprintf(file,"ditto");
> fprintf(file," | ");
> # End Function number 6
> end;
logditto := proc(file)
fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, " | ")
end proc
> # Begin Function number 7
> logitem_integer := proc(file,n)
> fprintf(file,"");
> fprintf(file,"%d",n);
> fprintf(file," | ");
> # End Function number 7
> end;
logitem_integer := proc(file, n)
fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, " | ")
end proc
> # Begin Function number 8
> logitem_str := proc(file,str)
> fprintf(file,"");
> fprintf(file,str);
> fprintf(file," | ");
> # End Function number 8
> end;
logitem_str := proc(file, str)
fprintf(file, ""); fprintf(file, str); fprintf(file, " | ")
end proc
> # Begin Function number 9
> log_revs := proc(file,revs)
> fprintf(file,revs);
> # End Function number 9
> end;
log_revs := proc(file, revs) fprintf(file, revs) end proc
> # Begin Function number 10
> logitem_float := proc(file,x)
> fprintf(file,"");
> fprintf(file,"%g",x);
> fprintf(file," | ");
> # End Function number 10
> end;
logitem_float := proc(file, x)
fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, " | ")
end proc
> # Begin Function number 11
> logitem_pole := proc(file,pole)
> fprintf(file,"");
> if pole = 0 then # if number 11
> fprintf(file,"NA");
> elif pole = 1 then # if number 12
> fprintf(file,"Real");
> elif pole = 2 then # if number 13
> fprintf(file,"Complex");
> else
> fprintf(file,"No Pole");
> fi;# end if 13
> fprintf(file," | ");
> # End Function number 11
> end;
logitem_pole := proc(file, pole)
fprintf(file, "");
if pole = 0 then fprintf(file, "NA")
elif pole = 1 then fprintf(file, "Real")
elif pole = 2 then fprintf(file, "Complex")
else fprintf(file, "No Pole")
end if;
fprintf(file, " | ")
end proc
> # Begin Function number 12
> logstart := proc(file)
> fprintf(file,"");
> # End Function number 12
> end;
logstart := proc(file) fprintf(file, "
") end proc
> # Begin Function number 13
> logend := proc(file)
> fprintf(file,"
\n");
> # End Function number 13
> end;
logend := proc(file) fprintf(file, "\n") end proc
> # Begin Function number 14
> chk_data := proc()
> global glob_max_iter,ALWAYS, glob_max_terms;
> local errflag;
> errflag := false;
>
> if ((glob_max_terms < 15) or (glob_max_terms > 512)) then # if number 13
> omniout_str(ALWAYS,"Illegal max_terms = -- Using 30");
> glob_max_terms := 30;
> fi;# end if 13
> ;
> if (glob_max_iter < 2) then # if number 13
> omniout_str(ALWAYS,"Illegal max_iter");
> errflag := true;
> fi;# end if 13
> ;
> if (errflag) then # if number 13
>
> quit;
> fi;# end if 13
> # End Function number 14
> end;
chk_data := proc()
local errflag;
global glob_max_iter, ALWAYS, glob_max_terms;
errflag := false;
if glob_max_terms < 15 or 512 < glob_max_terms then
omniout_str(ALWAYS, "Illegal max_terms = -- Using 30");
glob_max_terms := 30
end if;
if glob_max_iter < 2 then
omniout_str(ALWAYS, "Illegal max_iter"); errflag := true
end if;
if errflag then quit end if
end proc
>
> # Begin Function number 15
> comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec)
> global glob_small_float;
> local ms2, rrr, sec_left, sub1, sub2;
> ;
> ms2 := clock_sec;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub1 = 0.0) then # if number 13
> sec_left := 0.0;
> else
> if (abs(sub2) > 0.0) then # if number 14
> rrr := (sub1/sub2);
> sec_left := rrr * ms2 - ms2;
> else
> sec_left := 0.0;
> fi;# end if 14
> fi;# end if 13
> ;
> sec_left;
> # End Function number 15
> end;
comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec)
local ms2, rrr, sec_left, sub1, sub2;
global glob_small_float;
ms2 := clock_sec;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if sub1 = 0. then sec_left := 0.
else
if 0. < abs(sub2) then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2
else sec_left := 0.
end if
end if;
sec_left
end proc
>
> # Begin Function number 16
> comp_percent := proc(t_end2,t_start2,t2)
> global glob_small_float;
> local rrr, sub1, sub2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (abs(sub2) > glob_small_float) then # if number 13
> rrr := (100.0*sub2)/sub1;
> else
> rrr := 0.0;
> fi;# end if 13
> ;
> rrr
> # End Function number 16
> end;
comp_percent := proc(t_end2, t_start2, t2)
local rrr, sub1, sub2;
global glob_small_float;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if glob_small_float < abs(sub2) then rrr := 100.0*sub2/sub1
else rrr := 0.
end if;
rrr
end proc
>
> # Begin Function number 17
> factorial_1 := proc(nnn)
> nnn!;
>
> # End Function number 17
> end;
factorial_1 := proc(nnn) nnn! end proc
>
> # Begin Function number 18
> factorial_3 := proc(mmm2,nnn2)
> (mmm2!)/(nnn2!);
>
> # End Function number 18
> end;
factorial_3 := proc(mmm2, nnn2) mmm2!/nnn2! end proc
> # Begin Function number 19
> convfp := proc(mmm)
> (mmm);
>
> # End Function number 19
> end;
convfp := proc(mmm) mmm end proc
> # Begin Function number 20
> convfloat := proc(mmm)
> (mmm);
>
> # End Function number 20
> end;
convfloat := proc(mmm) mmm end proc
> elapsed_time_seconds := proc()
> time();
> end;
elapsed_time_seconds := proc() time() end proc
>
>
>
> #END ATS LIBRARY BLOCK
> #BEGIN USER DEF BLOCK
> #BEGIN USER DEF BLOCK
> exact_soln_y := proc(x)
> 1.0 + exp(x);
> end;
exact_soln_y := proc(x) 1.0 + exp(x) end proc
>
> #END USER DEF BLOCK
> #END USER DEF BLOCK
> #END OUTFILE5
> # Begin Function number 2
> mainprog := proc()
> #BEGIN OUTFIEMAIN
> local d1,d2,d3,d4,est_err_2,niii,done_once,
> term,ord,order_diff,term_no,html_log_file,
> rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter,
> x_start,x_end
> ,it, log10norm, max_terms, opt_iter, tmp;
> #Top Generate Globals Definition
> #Bottom Generate Globals Deninition
> global
> glob_iolevel,
> ALWAYS,
> glob_max_terms,
> DEBUGL,
> DEBUGMASSIVE,
> INFO,
> #Top Generate Globals Decl
> glob_log10abserr,
> glob_abserr,
> glob_look_poles,
> glob_last_good_h,
> glob_hmin,
> glob_warned2,
> glob_log10_abserr,
> glob_dump,
> glob_normmax,
> glob_max_trunc_err,
> glob_large_float,
> glob_initial_pass,
> glob_html_log,
> glob_max_minutes,
> glob_start,
> glob_unchanged_h_cnt,
> glob_dump_analytic,
> glob_hmax,
> djd_debug2,
> glob_clock_start_sec,
> centuries_in_millinium,
> djd_debug,
> glob_optimal_expect_sec,
> glob_curr_iter_when_opt,
> glob_optimal_clock_start_sec,
> glob_not_yet_finished,
> glob_clock_sec,
> days_in_year,
> glob_display_flag,
> glob_max_opt_iter,
> glob_orig_start_sec,
> glob_not_yet_start_msg,
> sec_in_min,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_smallish_float,
> glob_no_eqs,
> glob_max_iter,
> glob_relerr,
> glob_log10_relerr,
> glob_disp_incr,
> glob_max_sec,
> glob_warned,
> glob_h,
> glob_subiter_method,
> glob_log10relerr,
> glob_optimal_start,
> glob_hmin_init,
> years_in_century,
> hours_in_day,
> glob_percent_done,
> glob_iter,
> glob_small_float,
> glob_max_rel_trunc_err,
> glob_max_hours,
> glob_optimal_done,
> glob_reached_optimal_h,
> glob_almost_1,
> min_in_hour,
> glob_log10normmin,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_1D0,
> #END CONST
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_norms,
> array_m1,
> array_y,
> array_x,
> array_last_rel_error,
> array_y_init,
> array_type_pole,
> array_pole,
> array_1st_rel_error,
> array_y_set_initial,
> array_complex_pole,
> array_y_higher_work2,
> array_y_higher_work,
> array_real_pole,
> array_y_higher,
> array_poles,
> glob_last;
> glob_last;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> glob_iolevel := INFO;
> glob_iolevel := 5;
> ALWAYS := 1;
> glob_max_terms := 30;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> INFO := 2;
> glob_log10abserr := 0.0;
> glob_abserr := 0.1e-10;
> glob_look_poles := false;
> glob_last_good_h := 0.1;
> glob_hmin := 0.00000000001;
> glob_warned2 := false;
> glob_log10_abserr := 0.1e-10;
> glob_dump := false;
> glob_normmax := 0.0;
> glob_max_trunc_err := 0.1e-10;
> glob_large_float := 9.0e100;
> glob_initial_pass := true;
> glob_html_log := true;
> glob_max_minutes := 0.0;
> glob_start := 0;
> glob_unchanged_h_cnt := 0;
> glob_dump_analytic := false;
> glob_hmax := 1.0;
> djd_debug2 := true;
> glob_clock_start_sec := 0.0;
> centuries_in_millinium := 10.0;
> djd_debug := true;
> glob_optimal_expect_sec := 0.1;
> glob_curr_iter_when_opt := 0;
> glob_optimal_clock_start_sec := 0.0;
> glob_not_yet_finished := true;
> glob_clock_sec := 0.0;
> days_in_year := 365.0;
> glob_display_flag := true;
> glob_max_opt_iter := 10;
> glob_orig_start_sec := 0.0;
> glob_not_yet_start_msg := true;
> sec_in_min := 60.0;
> MAX_UNCHANGED := 10;
> glob_current_iter := 0;
> glob_smallish_float := 0.1e-100;
> glob_no_eqs := 0;
> glob_max_iter := 1000;
> glob_relerr := 0.1e-10;
> glob_log10_relerr := 0.1e-10;
> glob_disp_incr := 0.1;
> glob_max_sec := 10000.0;
> glob_warned := false;
> glob_h := 0.1;
> glob_subiter_method := 3;
> glob_log10relerr := 0.0;
> glob_optimal_start := 0.0;
> glob_hmin_init := 0.001;
> years_in_century := 100.0;
> hours_in_day := 24.0;
> glob_percent_done := 0.0;
> glob_iter := 0;
> glob_small_float := 0.1e-50;
> glob_max_rel_trunc_err := 0.1e-10;
> glob_max_hours := 0.0;
> glob_optimal_done := false;
> glob_reached_optimal_h := false;
> glob_almost_1 := 0.9990;
> min_in_hour := 60.0;
> glob_log10normmin := 0.1;
> #Write Set Defaults
> glob_orig_start_sec := elapsed_time_seconds();
> MAX_UNCHANGED := 10;
> glob_curr_iter_when_opt := 0;
> glob_display_flag := true;
> glob_no_eqs := 1;
> glob_iter := -1;
> opt_iter := -1;
> glob_max_iter := 50000;
> glob_max_hours := 0.0;
> glob_max_minutes := 15.0;
> omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################");
> omniout_str(ALWAYS,"##############temp/diff0postode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = y - 1.0;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"Digits := 32;");
> omniout_str(ALWAYS,"max_terms := 30;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#END FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"x_start := 1.1;");
> omniout_str(ALWAYS,"x_end := 5.0 ;");
> omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);");
> omniout_str(ALWAYS,"glob_h := 0.01 ;");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 100;");
> omniout_str(ALWAYS,"#END SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK");
> omniout_str(ALWAYS,"glob_h := 0.0001 ;");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 1000;");
> omniout_str(ALWAYS,"glob_max_minutes := 15;");
> omniout_str(ALWAYS,"#END OVERRIDE BLOCK");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK");
> omniout_str(ALWAYS,"exact_soln_y := proc(x)");
> omniout_str(ALWAYS,"1.0 + exp(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_tmp0:= Array(1..(max_terms + 1),[]);
> array_tmp1:= Array(1..(max_terms + 1),[]);
> array_tmp2:= Array(1..(max_terms + 1),[]);
> array_norms:= Array(1..(max_terms + 1),[]);
> array_m1:= Array(1..(max_terms + 1),[]);
> array_y:= Array(1..(max_terms + 1),[]);
> array_x:= Array(1..(max_terms + 1),[]);
> array_last_rel_error:= Array(1..(max_terms + 1),[]);
> array_y_init:= Array(1..(max_terms + 1),[]);
> array_type_pole:= Array(1..(max_terms + 1),[]);
> array_pole:= Array(1..(max_terms + 1),[]);
> array_1st_rel_error:= Array(1..(max_terms + 1),[]);
> array_y_set_initial := Array(1..(2+ 1) ,(1..max_terms+ 1),[]);
> array_complex_pole := Array(1..(1+ 1) ,(1..3+ 1),[]);
> array_y_higher_work2 := Array(1..(2+ 1) ,(1..max_terms+ 1),[]);
> array_y_higher_work := Array(1..(2+ 1) ,(1..max_terms+ 1),[]);
> array_real_pole := Array(1..(1+ 1) ,(1..3+ 1),[]);
> array_y_higher := Array(1..(2+ 1) ,(1..max_terms+ 1),[]);
> array_poles := Array(1..(1+ 1) ,(1..3+ 1),[]);
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_norms[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_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_y_init[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_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_1st_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=2 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_y_set_initial[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=1 do # do number 2
> term := 1;
> while term <= 3 do # do number 3
> array_complex_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=2 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_y_higher_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 <=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[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=1 do # do number 2
> term := 1;
> while term <= 3 do # do number 3
> array_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> #BEGIN ARRAYS DEFINED AND INITIALIZATED
> array_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_const_1D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_const_1D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_const_1D0[1] := 1.0;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_m1[1] := -1.0;
> #END ARRAYS DEFINED AND INITIALIZATED
> #TOP SECOND INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> #END FIRST INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> x_start := 1.1;
> x_end := 5.0 ;
> array_y_init[0 + 1] := exact_soln_y(x_start);
> glob_h := 0.01 ;
> glob_look_poles := true;
> glob_max_iter := 100;
> #END SECOND INPUT BLOCK
> #BEGIN OVERRIDE BLOCK
> glob_h := 0.0001 ;
> glob_look_poles := true;
> glob_max_iter := 1000;
> glob_max_minutes := 15;
> #END OVERRIDE BLOCK
> #END SECOND INPUT BLOCK
> #BEGIN INITS AFTER SECOND INPUT BLOCK
> glob_last_good_h := glob_h;
> glob_max_terms := max_terms;
> glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours);
> glob_abserr := 10.0 ^ (glob_log10_abserr);
> glob_relerr := 10.0 ^ (glob_log10_relerr);
> chk_data();
> #AFTER INITS AFTER SECOND INPUT BLOCK
> array_y_set_initial[1,1] := true;
> array_y_set_initial[1,2] := false;
> array_y_set_initial[1,3] := false;
> array_y_set_initial[1,4] := false;
> array_y_set_initial[1,5] := false;
> array_y_set_initial[1,6] := false;
> array_y_set_initial[1,7] := false;
> array_y_set_initial[1,8] := false;
> array_y_set_initial[1,9] := false;
> array_y_set_initial[1,10] := false;
> array_y_set_initial[1,11] := false;
> array_y_set_initial[1,12] := false;
> array_y_set_initial[1,13] := false;
> array_y_set_initial[1,14] := false;
> array_y_set_initial[1,15] := false;
> array_y_set_initial[1,16] := false;
> array_y_set_initial[1,17] := false;
> array_y_set_initial[1,18] := false;
> array_y_set_initial[1,19] := false;
> array_y_set_initial[1,20] := false;
> array_y_set_initial[1,21] := false;
> array_y_set_initial[1,22] := false;
> array_y_set_initial[1,23] := false;
> array_y_set_initial[1,24] := false;
> array_y_set_initial[1,25] := false;
> array_y_set_initial[1,26] := false;
> array_y_set_initial[1,27] := false;
> array_y_set_initial[1,28] := false;
> array_y_set_initial[1,29] := false;
> array_y_set_initial[1,30] := false;
> if glob_html_log then # if number 2
> html_log_file := fopen("html/entry.html",WRITE,TEXT);
> fi;# end if 2
> ;
> #BEGIN SOLUTION CODE
> omniout_str(ALWAYS,"START of Soultion");
> #Start Series -- INITIALIZE FOR SOLUTION
> array_x[1] := x_start;
> array_x[2] := glob_h;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 2
> array_y[term_no] := array_y_init[term_no] * glob_h ^ (term_no - 1) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 2
> ;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 2
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 3
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* (glob_h ^ (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 3
> ;
> r_order := r_order + 1;
> od;# end do number 2
> ;
> current_iter := 1;
> glob_clock_start_sec := elapsed_time_seconds();
> start_array_y();
> if (abs(array_y_higher[1,1]) > glob_small_float) then # if number 2
> tmp := abs(array_y_higher[1,1]);
> log10norm := (log10(tmp));
> if (log10norm < glob_log10normmin) then # if number 3
> glob_log10normmin := log10norm;
> fi;# end if 3
> fi;# end if 2
> ;
> display_alot(current_iter)
> ;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := 0;
> glob_iter := 0;
> omniout_str(DEBUGL," ");
> glob_reached_optimal_h := true;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> while ((glob_current_iter < glob_max_iter) and (array_x[1] <= x_end ) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2
> #left paren 0001C
> omniout_str(INFO," ");
> omniout_str(INFO,"TOP MAIN SOLVE Loop");
> glob_iter := glob_iter + 1;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := glob_current_iter + 1;
> atomall();
> if (glob_look_poles) then # if number 2
> #left paren 0004C
> check_for_pole();
> fi;# end if 2
> ;#was right paren 0004C
> array_x[1] := array_x[1] + glob_h;
> array_x[2] := glob_h;
> #Jump Series array_y
> order_diff := 1;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =1
> #sum_and_adjust array_y
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[2,iii] := array_y_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 2;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 2;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 2;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #END SUM AND ADJUST EQ =1
> #END PART 1
> #START PART 2 MOVE TERMS to REGULAR Array
> term_no := glob_max_terms;
> while (term_no >= 1) do # do number 3
> array_y[term_no] := array_y_higher_work2[1,term_no];
> ord := 1;
> while ord <= order_diff do # do number 4
> array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no];
> ord := ord + 1;
> od;# end do number 4
> ;
> term_no := term_no - 1;
> od;# end do number 3
> ;
> #END PART 2 HEVE MOVED TERMS to REGULAR Array
> display_alot(current_iter)
> ;
> od;# end do number 2
> ;#right paren 0001C
> omniout_str(ALWAYS,"Finished!");
> if (glob_iter >= glob_max_iter) then # if number 2
> omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!")
> fi;# end if 2
> ;
> if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 2
> omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!")
> fi;# end if 2
> ;
> glob_clock_sec := elapsed_time_seconds();
> omniout_str(INFO,"diff ( y , x , 1 ) = y - 1.0;");
> omniout_int(INFO,"Iterations ",32,glob_iter,4," ")
> ;
> prog_report(x_start,x_end);
> if glob_html_log then # if number 2
> logstart(html_log_file);
> logitem_str(html_log_file,"2012-06-13T13:07:16-05:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"diff0")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = y - 1.0;")
> ;
> logitem_float(html_log_file,x_start)
> ;
> logitem_float(html_log_file,x_end)
> ;
> logitem_float(html_log_file,array_x[1])
> ;
> logitem_float(html_log_file,glob_h)
> ;
> logitem_integer(html_log_file,Digits)
> ;
> ;
> logitem_integer(html_log_file,glob_max_terms)
> ;
> logitem_float(html_log_file,array_1st_rel_error[1])
> ;
> logitem_float(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_iter)
> ;
> logitem_pole(html_log_file,array_type_pole[1])
> ;
> if array_type_pole[1] = 1 or array_type_pole[1] = 2 then # if number 3
> logitem_float(html_log_file,array_pole[1])
> ;
> logitem_float(html_log_file,array_pole[2])
> ;
> 0;
> else
> logitem_str(html_log_file,"NA")
> ;
> logitem_str(html_log_file,"NA")
> ;
> 0;
> fi;# end if 3
> ;
> logitem_time(html_log_file,convfloat(glob_clock_sec))
> ;
> if glob_percent_done < 100.0 then # if number 3
> logitem_time(html_log_file,convfloat(glob_optimal_expect_sec))
> ;
> 0
> else
> logitem_str(html_log_file,"Done")
> ;
> 0
> fi;# end if 3
> ;
> log_revs(html_log_file," 090 | ")
> ;
> logitem_str(html_log_file,"diff0 diffeq.mxt")
> ;
> logitem_str(html_log_file,"diff0 maple results")
> ;
> logitem_str(html_log_file,"Test of revised logic - mostly affecting systems of eqs")
> ;
> logend(html_log_file)
> ;
> ;
> fi;# end if 2
> ;
> if glob_html_log then # if number 2
> fclose(html_log_file);
> fi;# end if 2
> ;
> ;;
> #END OUTFILEMAIN
> # End Function number 8
> end;
mainprog := proc()
local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff,
term_no, html_log_file, rows, r_order, sub_iter, calc_term, iii, temp_sum,
current_iter, x_start, x_end, it, log10norm, max_terms, opt_iter, tmp;
global glob_iolevel, ALWAYS, glob_max_terms, DEBUGL, DEBUGMASSIVE, INFO,
glob_log10abserr, glob_abserr, glob_look_poles, glob_last_good_h, glob_hmin,
glob_warned2, glob_log10_abserr, glob_dump, glob_normmax,
glob_max_trunc_err, glob_large_float, glob_initial_pass, glob_html_log,
glob_max_minutes, glob_start, glob_unchanged_h_cnt, glob_dump_analytic,
glob_hmax, djd_debug2, glob_clock_start_sec, centuries_in_millinium,
djd_debug, glob_optimal_expect_sec, glob_curr_iter_when_opt,
glob_optimal_clock_start_sec, glob_not_yet_finished, glob_clock_sec,
days_in_year, glob_display_flag, glob_max_opt_iter, glob_orig_start_sec,
glob_not_yet_start_msg, sec_in_min, MAX_UNCHANGED, glob_current_iter,
glob_smallish_float, glob_no_eqs, glob_max_iter, glob_relerr,
glob_log10_relerr, glob_disp_incr, glob_max_sec, glob_warned, glob_h,
glob_subiter_method, glob_log10relerr, glob_optimal_start, glob_hmin_init,
years_in_century, hours_in_day, glob_percent_done, glob_iter,
glob_small_float, glob_max_rel_trunc_err, glob_max_hours, glob_optimal_done,
glob_reached_optimal_h, glob_almost_1, min_in_hour, glob_log10normmin,
array_const_1, array_const_0D0, array_const_1D0, array_tmp0, array_tmp1,
array_tmp2, array_norms, array_m1, array_y, array_x, array_last_rel_error,
array_y_init, array_type_pole, array_pole, array_1st_rel_error,
array_y_set_initial, array_complex_pole, array_y_higher_work2,
array_y_higher_work, array_real_pole, array_y_higher, array_poles,
glob_last;
glob_last;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
glob_iolevel := INFO;
glob_iolevel := 5;
ALWAYS := 1;
glob_max_terms := 30;
DEBUGL := 3;
DEBUGMASSIVE := 4;
INFO := 2;
glob_log10abserr := 0.;
glob_abserr := 0.1*10^(-10);
glob_look_poles := false;
glob_last_good_h := 0.1;
glob_hmin := 0.1*10^(-10);
glob_warned2 := false;
glob_log10_abserr := 0.1*10^(-10);
glob_dump := false;
glob_normmax := 0.;
glob_max_trunc_err := 0.1*10^(-10);
glob_large_float := 0.90*10^101;
glob_initial_pass := true;
glob_html_log := true;
glob_max_minutes := 0.;
glob_start := 0;
glob_unchanged_h_cnt := 0;
glob_dump_analytic := false;
glob_hmax := 1.0;
djd_debug2 := true;
glob_clock_start_sec := 0.;
centuries_in_millinium := 10.0;
djd_debug := true;
glob_optimal_expect_sec := 0.1;
glob_curr_iter_when_opt := 0;
glob_optimal_clock_start_sec := 0.;
glob_not_yet_finished := true;
glob_clock_sec := 0.;
days_in_year := 365.0;
glob_display_flag := true;
glob_max_opt_iter := 10;
glob_orig_start_sec := 0.;
glob_not_yet_start_msg := true;
sec_in_min := 60.0;
MAX_UNCHANGED := 10;
glob_current_iter := 0;
glob_smallish_float := 0.1*10^(-100);
glob_no_eqs := 0;
glob_max_iter := 1000;
glob_relerr := 0.1*10^(-10);
glob_log10_relerr := 0.1*10^(-10);
glob_disp_incr := 0.1;
glob_max_sec := 10000.0;
glob_warned := false;
glob_h := 0.1;
glob_subiter_method := 3;
glob_log10relerr := 0.;
glob_optimal_start := 0.;
glob_hmin_init := 0.001;
years_in_century := 100.0;
hours_in_day := 24.0;
glob_percent_done := 0.;
glob_iter := 0;
glob_small_float := 0.1*10^(-50);
glob_max_rel_trunc_err := 0.1*10^(-10);
glob_max_hours := 0.;
glob_optimal_done := false;
glob_reached_optimal_h := false;
glob_almost_1 := 0.9990;
min_in_hour := 60.0;
glob_log10normmin := 0.1;
glob_orig_start_sec := elapsed_time_seconds();
MAX_UNCHANGED := 10;
glob_curr_iter_when_opt := 0;
glob_display_flag := true;
glob_no_eqs := 1;
glob_iter := -1;
opt_iter := -1;
glob_max_iter := 50000;
glob_max_hours := 0.;
glob_max_minutes := 15.0;
omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################");
omniout_str(ALWAYS,
"##############temp/diff0postode.ode#################");
omniout_str(ALWAYS, "diff ( y , x , 1 ) = y - 1.0;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK");
omniout_str(ALWAYS, "Digits := 32;");
omniout_str(ALWAYS, "max_terms := 30;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#END FIRST INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK");
omniout_str(ALWAYS, "x_start := 1.1;");
omniout_str(ALWAYS, "x_end := 5.0 ;");
omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);");
omniout_str(ALWAYS, "glob_h := 0.01 ;");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 100;");
omniout_str(ALWAYS, "#END SECOND INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK");
omniout_str(ALWAYS, "glob_h := 0.0001 ;");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 1000;");
omniout_str(ALWAYS, "glob_max_minutes := 15;");
omniout_str(ALWAYS, "#END OVERRIDE BLOCK");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK");
omniout_str(ALWAYS, "exact_soln_y := proc(x)");
omniout_str(ALWAYS, "1.0 + exp(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_tmp0 := Array(1 .. max_terms + 1, []);
array_tmp1 := Array(1 .. max_terms + 1, []);
array_tmp2 := Array(1 .. max_terms + 1, []);
array_norms := Array(1 .. max_terms + 1, []);
array_m1 := Array(1 .. max_terms + 1, []);
array_y := Array(1 .. max_terms + 1, []);
array_x := Array(1 .. max_terms + 1, []);
array_last_rel_error := Array(1 .. max_terms + 1, []);
array_y_init := Array(1 .. max_terms + 1, []);
array_type_pole := Array(1 .. max_terms + 1, []);
array_pole := Array(1 .. max_terms + 1, []);
array_1st_rel_error := Array(1 .. max_terms + 1, []);
array_y_set_initial := Array(1 .. 3, 1 .. max_terms + 1, []);
array_complex_pole := Array(1 .. 2, 1 .. 4, []);
array_y_higher_work2 := Array(1 .. 3, 1 .. max_terms + 1, []);
array_y_higher_work := Array(1 .. 3, 1 .. max_terms + 1, []);
array_real_pole := Array(1 .. 2, 1 .. 4, []);
array_y_higher := Array(1 .. 3, 1 .. max_terms + 1, []);
array_poles := Array(1 .. 2, 1 .. 4, []);
term := 1;
while term <= max_terms do array_tmp0[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_norms[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_y[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_x[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do
array_last_rel_error[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_type_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_1st_rel_error[term] := 0.; term := term + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_complex_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work2[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[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do array_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
array_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_const_1D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1D0[term] := 0.; term := term + 1
end do;
array_const_1D0[1] := 1.0;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
array_m1[1] := -1.0;
x_start := 1.1;
x_end := 5.0;
array_y_init[1] := exact_soln_y(x_start);
glob_h := 0.01;
glob_look_poles := true;
glob_max_iter := 100;
glob_h := 0.0001;
glob_look_poles := true;
glob_max_iter := 1000;
glob_max_minutes := 15;
glob_last_good_h := glob_h;
glob_max_terms := max_terms;
glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes)
+ convfloat(3600.0)*convfloat(glob_max_hours);
glob_abserr := 10.0^glob_log10_abserr;
glob_relerr := 10.0^glob_log10_relerr;
chk_data();
array_y_set_initial[1, 1] := true;
array_y_set_initial[1, 2] := false;
array_y_set_initial[1, 3] := false;
array_y_set_initial[1, 4] := false;
array_y_set_initial[1, 5] := false;
array_y_set_initial[1, 6] := false;
array_y_set_initial[1, 7] := false;
array_y_set_initial[1, 8] := false;
array_y_set_initial[1, 9] := false;
array_y_set_initial[1, 10] := false;
array_y_set_initial[1, 11] := false;
array_y_set_initial[1, 12] := false;
array_y_set_initial[1, 13] := false;
array_y_set_initial[1, 14] := false;
array_y_set_initial[1, 15] := false;
array_y_set_initial[1, 16] := false;
array_y_set_initial[1, 17] := false;
array_y_set_initial[1, 18] := false;
array_y_set_initial[1, 19] := false;
array_y_set_initial[1, 20] := false;
array_y_set_initial[1, 21] := false;
array_y_set_initial[1, 22] := false;
array_y_set_initial[1, 23] := false;
array_y_set_initial[1, 24] := false;
array_y_set_initial[1, 25] := false;
array_y_set_initial[1, 26] := false;
array_y_set_initial[1, 27] := false;
array_y_set_initial[1, 28] := false;
array_y_set_initial[1, 29] := false;
array_y_set_initial[1, 30] := false;
if glob_html_log then
html_log_file := fopen("html/entry.html", WRITE, TEXT)
end if;
omniout_str(ALWAYS, "START of Soultion");
array_x[1] := x_start;
array_x[2] := glob_h;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*glob_h^(term_no - 1)/
factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
glob_h^(term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
current_iter := 1;
glob_clock_start_sec := elapsed_time_seconds();
start_array_y();
if glob_small_float < abs(array_y_higher[1, 1]) then
tmp := abs(array_y_higher[1, 1]);
log10norm := log10(tmp);
if log10norm < glob_log10normmin then
glob_log10normmin := log10norm
end if
end if;
display_alot(current_iter);
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := 0;
glob_iter := 0;
omniout_str(DEBUGL, " ");
glob_reached_optimal_h := true;
glob_optimal_clock_start_sec := elapsed_time_seconds();
while glob_current_iter < glob_max_iter and array_x[1] <= x_end and
convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
convfloat(glob_max_sec) do
omniout_str(INFO, " ");
omniout_str(INFO, "TOP MAIN SOLVE Loop");
glob_iter := glob_iter + 1;
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := glob_current_iter + 1;
atomall();
if glob_look_poles then check_for_pole() end if;
array_x[1] := array_x[1] + glob_h;
array_x[2] := glob_h;
order_diff := 1;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[2, iii] := array_y_higher[2, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
term_no := glob_max_terms;
while 1 <= term_no do
array_y[term_no] := array_y_higher_work2[1, term_no];
ord := 1;
while ord <= order_diff do
array_y_higher[ord, term_no] :=
array_y_higher_work2[ord, term_no];
ord := ord + 1
end do;
term_no := term_no - 1
end do;
display_alot(current_iter)
end do;
omniout_str(ALWAYS, "Finished!");
if glob_max_iter <= glob_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!")
end if;
if convfloat(glob_max_sec) <=
elapsed_time_seconds() - convfloat(glob_orig_start_sec) then
omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!")
end if;
glob_clock_sec := elapsed_time_seconds();
omniout_str(INFO, "diff ( y , x , 1 ) = y - 1.0;");
omniout_int(INFO, "Iterations ", 32, glob_iter, 4,
" ");
prog_report(x_start, x_end);
if glob_html_log then
logstart(html_log_file);
logitem_str(html_log_file, "2012-06-13T13:07:16-05:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file, "diff0");
logitem_str(html_log_file, "diff ( y , x , 1 ) = y - 1.0;");
logitem_float(html_log_file, x_start);
logitem_float(html_log_file, x_end);
logitem_float(html_log_file, array_x[1]);
logitem_float(html_log_file, glob_h);
logitem_integer(html_log_file, Digits);
logitem_integer(html_log_file, glob_max_terms);
logitem_float(html_log_file, array_1st_rel_error[1]);
logitem_float(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_iter);
logitem_pole(html_log_file, array_type_pole[1]);
if array_type_pole[1] = 1 or array_type_pole[1] = 2 then
logitem_float(html_log_file, array_pole[1]);
logitem_float(html_log_file, array_pole[2]);
0
else
logitem_str(html_log_file, "NA");
logitem_str(html_log_file, "NA");
0
end if;
logitem_time(html_log_file, convfloat(glob_clock_sec));
if glob_percent_done < 100.0 then
logitem_time(html_log_file, convfloat(glob_optimal_expect_sec))
;
0
else logitem_str(html_log_file, "Done"); 0
end if;
log_revs(html_log_file, " 090 | ");
logitem_str(html_log_file,
"diff0 diffeq.mxt");
logitem_str(html_log_file,
"diff0 maple results");
logitem_str(html_log_file,
"Test of revised logic - mostly affecting systems of eqs");
logend(html_log_file)
end if;
if glob_html_log then fclose(html_log_file) end if
end proc
> mainprog();
##############ECHO OF PROBLEM#################
##############temp/diff0postode.ode#################
diff ( y , x , 1 ) = y - 1.0;
!
#BEGIN FIRST INPUT BLOCK
Digits := 32;
max_terms := 30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := 1.1;
x_end := 5.0 ;
array_y_init[0 + 1] := exact_soln_y(x_start);
glob_h := 0.01 ;
glob_look_poles := true;
glob_max_iter := 100;
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE BLOCK
glob_h := 0.0001 ;
glob_look_poles := true;
glob_max_iter := 1000;
glob_max_minutes := 15;
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
exact_soln_y := proc(x)
1.0 + exp(x);
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
x[1] = 1.1
y[1] (analytic) = 4.0041660239464331120584079535887
y[1] (numeric) = 4.0041660239464331120584079535887
absolute error = 0
relative error = 0 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1001
y[1] (analytic) = 4.0044664555701585819567125446461
y[1] (numeric) = 4.0044664555701585819567126907871
absolute error = 1.461410e-25
relative error = 3.6494499734595066743318156832795e-24 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1002
y[1] (analytic) = 4.004766917238548632593823426701
y[1] (numeric) = 4.0047669172385486325938237190123
absolute error = 2.923113e-25
relative error = 7.2990839677021866239905177842237e-24 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1003
y[1] (analytic) = 4.0050674089546078806561449533619
y[1] (numeric) = 4.0050674089546078806561453918727
absolute error = 4.385108e-25
relative error = 1.0948899362332054508133956612918e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1004
y[1] (analytic) = 4.0053679307213412433067737028868
y[1] (numeric) = 4.0053679307213412433067742876263
absolute error = 5.847395e-25
relative error = 1.4598896034369859795542258016438e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1005
y[1] (analytic) = 4.0056684825417539382155476498388
y[1] (numeric) = 4.0056684825417539382155483808363
absolute error = 7.309975e-25
relative error = 1.8249076357316354422819063527056e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1006
y[1] (analytic) = 4.0059690644188514835890983418101
y[1] (numeric) = 4.0059690644188514835890992190947
absolute error = 8.772846e-25
relative error = 2.1899435215116126785542561870083e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1007
y[1] (analytic) = 4.0062696763556396982009060815126
y[1] (numeric) = 4.0062696763556396982009071051137
absolute error = 1.0236011e-24
relative error = 2.5549979973668006475239964816000e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1008
y[1] (analytic) = 4.0065703183551247014213581145386
y[1] (numeric) = 4.0065703183551247014213592844854
absolute error = 1.1699468e-24
relative error = 2.9200705517139536741292460555679e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1009
y[1] (analytic) = 4.0068709904203129132478098230892
y[1] (numeric) = 4.0068709904203129132478111394109
absolute error = 1.3163217e-24
relative error = 3.2851611722640474474565272198272e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.101
y[1] (analytic) = 4.0071716925542110543346489259728
y[1] (numeric) = 4.0071716925542110543346503886988
absolute error = 1.4627260e-24
relative error = 3.6502703458349794668664006096337e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1011
y[1] (analytic) = 4.0074724247598261460233626851747
y[1] (numeric) = 4.0074724247598261460233642943342
absolute error = 1.6091595e-24
relative error = 4.0153975609612319434648258500199e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1012
y[1] (analytic) = 4.0077731870401655103726081192961
y[1] (numeric) = 4.0077731870401655103726098749184
absolute error = 1.7556223e-24
relative error = 4.3805430548742411286788700725023e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1013
y[1] (analytic) = 4.0080739793982367701882852241666
y[1] (numeric) = 4.008073979398236770188287126281
absolute error = 1.9021144e-24
relative error = 4.7457068152359283200845107570611e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1014
y[1] (analytic) = 4.0083748018370478490536132009277
y[1] (numeric) = 4.0083748018370478490536152495634
absolute error = 2.0486357e-24
relative error = 5.1108885802323308506309144529651e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1015
y[1] (analytic) = 4.0086756543596069713592096918902
y[1] (numeric) = 4.0086756543596069713592118870766
absolute error = 2.1951864e-24
relative error = 5.4760888365029994214171905567508e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1016
y[1] (analytic) = 4.0089765369689226623331730244657
y[1] (numeric) = 4.008976536968922662333175366232
absolute error = 2.3417663e-24
relative error = 5.8413070727785933839992351647651e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1017
y[1] (analytic) = 4.0092774496680037480711674634722
y[1] (numeric) = 4.0092774496680037480711699518477
absolute error = 2.4883755e-24
relative error = 6.2065435262058377097682521174666e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1018
y[1] (analytic) = 4.0095783924598593555665114721162
y[1] (numeric) = 4.0095783924598593555665141071302
absolute error = 2.6350140e-24
relative error = 6.5717981844555733335025140360877e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1019
y[1] (analytic) = 4.0098793653474989127402689819507
y[1] (numeric) = 4.0098793653474989127402717636325
absolute error = 2.7816818e-24
relative error = 6.9370710352004256261873453841461e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.102
y[1] (analytic) = 4.0101803683339321484713436721111
y[1] (numeric) = 4.0101803683339321484713466004901
absolute error = 2.9283790e-24
relative error = 7.3023623154801466184514368754900e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1021
y[1] (analytic) = 4.0104814014221690926265762581294
y[1] (numeric) = 4.0104814014221690926265793332348
absolute error = 3.0751054e-24
relative error = 7.6676715142215282584432190968125e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1022
y[1] (analytic) = 4.0107824646152200760908447906273
y[1] (numeric) = 4.0107824646152200760908480124885
absolute error = 3.2218612e-24
relative error = 8.0329991178145177188798198884616e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1023
y[1] (analytic) = 4.0110835579160957307971679641905
y[1] (numeric) = 4.0110835579160957307971713328367
absolute error = 3.3686462e-24
relative error = 8.3983446152643467238029785739425e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1024
y[1] (analytic) = 4.0113846813278069897568114367235
y[1] (numeric) = 4.0113846813278069897568149521842
absolute error = 3.5154607e-24
relative error = 8.7637087421801407178780807064364e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
memory used=3.8MB, alloc=2.9MB, time=0.16
x[1] = 1.1025
y[1] (analytic) = 4.0116858348533650870893971595881
y[1] (numeric) = 4.0116858348533650870894008218925
absolute error = 3.6623044e-24
relative error = 9.1290907383176587718430351310761e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1026
y[1] (analytic) = 4.0119870184957815580530157188237
y[1] (numeric) = 4.0119870184957815580530195280013
absolute error = 3.8091776e-24
relative error = 9.4944913391773109398784722241005e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1027
y[1] (analytic) = 4.0122882322580682390743416877544
y[1] (numeric) = 4.0122882322580682390743456438344
absolute error = 3.9560800e-24
relative error = 9.8599097846307145474409376621611e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1028
y[1] (analytic) = 4.0125894761432372677787519912798
y[1] (numeric) = 4.0125894761432372677787560942916
absolute error = 4.1030118e-24
relative error = 1.0225346560853948991549521315771e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1029
y[1] (analytic) = 4.0128907501543010830204472821547
y[1] (numeric) = 4.0128907501543010830204515321276
absolute error = 4.2499729e-24
relative error = 1.0590801406284441676603290168976e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.103
y[1] (analytic) = 4.0131920542942724249125763295557
y[1] (numeric) = 4.0131920542942724249125807265191
absolute error = 4.3969634e-24
relative error = 1.0956274557792660903606580490088e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1031
y[1] (analytic) = 4.0134933885661643348573634202381
y[1] (numeric) = 4.0134933885661643348573679642213
absolute error = 4.5439832e-24
relative error = 1.1321765753857028659581451795298e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1032
y[1] (analytic) = 4.0137947529729901555762387725829
y[1] (numeric) = 4.0137947529729901555762434636153
absolute error = 4.6910324e-24
relative error = 1.1687275231314168665897270335048e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1033
y[1] (analytic) = 4.0140961475177635311399719638368
y[1] (numeric) = 4.0140961475177635311399768019477
absolute error = 4.8381109e-24
relative error = 1.2052802728683493663975594073246e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1034
y[1] (analytic) = 4.0143975722034984069988083708441
y[1] (numeric) = 4.014397572203498406998813356063
absolute error = 4.9852189e-24
relative error = 1.2418348731871165503860698767169e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1035
y[1] (analytic) = 4.0146990270332090300126086245754
y[1] (numeric) = 4.0146990270332090300126137569316
absolute error = 5.1323562e-24
relative error = 1.2783912730296795585533940014148e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1036
y[1] (analytic) = 4.0150005120099099484809910787503
y[1] (numeric) = 4.0150005120099099484809963582732
absolute error = 5.2795229e-24
relative error = 1.3149494960729332326019917705154e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1037
y[1] (analytic) = 4.0153020271366160121734772928594
y[1] (numeric) = 4.0153020271366160121734827195784
absolute error = 5.4267190e-24
relative error = 1.3515095410817429291435480598159e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1038
y[1] (analytic) = 4.0156035724163423723596405298843
y[1] (numeric) = 4.0156035724163423723596461038287
absolute error = 5.5739444e-24
relative error = 1.3880713819182963581265615670561e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1039
y[1] (analytic) = 4.0159051478521044818392572690184
y[1] (numeric) = 4.0159051478521044818392629902176
absolute error = 5.7211992e-24
relative error = 1.4246350422544136089152890808817e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.104
y[1] (analytic) = 4.0162067534469180949724617336901
y[1] (numeric) = 4.0162067534469180949724676021736
absolute error = 5.8684835e-24
relative error = 1.4612005457546132052227608160244e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1041
y[1] (analytic) = 4.0165083892037992677099034351892
y[1] (numeric) = 4.0165083892037992677099094509863
absolute error = 6.0157971e-24
relative error = 1.4977678413843731201843188673936e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1042
y[1] (analytic) = 4.0168100551257643576229077321981
y[1] (numeric) = 4.0168100551257643576229138953382
absolute error = 6.1631401e-24
relative error = 1.5343369528104398002839358417029e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1043
y[1] (analytic) = 4.0171117512158300239336394065308
y[1] (numeric) = 4.0171117512158300239336457170434
absolute error = 6.3105126e-24
relative error = 1.5709079036922592471708802055787e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1044
y[1] (analytic) = 4.0174134774770132275452692553793
y[1] (numeric) = 4.0174134774770132275452757132938
absolute error = 6.4579145e-24
relative error = 1.6074806678987029391072594878638e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1045
y[1] (analytic) = 4.0177152339123312310721437003707
y[1] (numeric) = 4.0177152339123312310721503057165
absolute error = 6.6053458e-24
relative error = 1.6440552441960679534083812180865e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1046
y[1] (analytic) = 4.0180170205248015988699574137355
y[1] (numeric) = 4.018017020524801598869964166542
absolute error = 6.7528065e-24
relative error = 1.6806316313508303239481199111280e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1047
y[1] (analytic) = 4.01831883731744219706592896189
y[1] (numeric) = 4.0183188373174421970659358621866
absolute error = 6.9002966e-24
relative error = 1.7172098281296450392483674427239e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1048
y[1] (analytic) = 4.0186206842932711935889794667333
y[1] (numeric) = 4.0186206842932711935889865145495
absolute error = 7.0478162e-24
relative error = 1.7537898581835060188492963426688e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1049
y[1] (analytic) = 4.018922561455307058199914284962
y[1] (numeric) = 4.0189225614553070581999214803272
absolute error = 7.1953652e-24
relative error = 1.7903716953915278812676008675537e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.105
y[1] (analytic) = 4.0192244688065685625216077057034
y[1] (numeric) = 4.019224468806568562521615048647
absolute error = 7.3429436e-24
relative error = 1.8269553385209027491464849134001e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1051
y[1] (analytic) = 4.0195264063500747800691906667689
y[1] (numeric) = 4.0195264063500747800691981573204
absolute error = 7.4905515e-24
relative error = 1.8635408112175545091724553387060e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1052
y[1] (analytic) = 4.0198283740888450862802414898312
y[1] (numeric) = 4.0198283740888450862802491280201
absolute error = 7.6381889e-24
relative error = 1.9001281122434265781726681199057e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1053
y[1] (analytic) = 4.0201303720258991585449796348248
y[1] (numeric) = 4.0201303720258991585449874206804
absolute error = 7.7858556e-24
relative error = 1.9367171906110115213008763261004e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1054
y[1] (analytic) = 4.0204324001642569762364624738732
y[1] (numeric) = 4.0204324001642569762364704074251
absolute error = 7.9335519e-24
relative error = 1.9733081197126633381705755359709e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1055
y[1] (analytic) = 4.0207344585069388207407850850451
y[1] (numeric) = 4.0207344585069388207407931663227
absolute error = 8.0812776e-24
relative error = 2.0099008485631018097996258926198e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1056
y[1] (analytic) = 4.0210365470569652754872830662403
y[1] (numeric) = 4.0210365470569652754872912952731
absolute error = 8.2290328e-24
relative error = 2.0464954007998029831659675907864e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1057
y[1] (analytic) = 4.0213386658173572259787383695082
y[1] (numeric) = 4.0213386658173572259787467463256
absolute error = 8.3768174e-24
relative error = 2.0830917503182661949464699593623e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1058
y[1] (analytic) = 4.0216408147911358598215881561006
y[1] (numeric) = 4.0216408147911358598215966807322
absolute error = 8.5246316e-24
relative error = 2.1196899456180616711630277730576e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1059
y[1] (analytic) = 4.0219429939813226667561366725619
y[1] (numeric) = 4.0219429939813226667561453450371
absolute error = 8.6724752e-24
relative error = 2.1562899357295748249235404020254e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.106
y[1] (analytic) = 4.0222452033909394386867701481565
y[1] (numeric) = 4.0222452033909394386867789685048
absolute error = 8.8203483e-24
relative error = 2.1928917442835252558790723569159e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1061
y[1] (analytic) = 4.0225474430230082697121747139384
y[1] (numeric) = 4.0225474430230082697121836821893
absolute error = 8.9682509e-24
relative error = 2.2294953700434710246881717262030e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1062
y[1] (analytic) = 4.0228497128805515561555573437632
y[1] (numeric) = 4.0228497128805515561555664599461
absolute error = 9.1161829e-24
relative error = 2.2661007869151492243656882331478e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
memory used=7.6MB, alloc=3.9MB, time=0.33
x[1] = 1.1063
y[1] (analytic) = 4.0231520129665919965948698175449
y[1] (numeric) = 4.0231520129665919965948790816894
absolute error = 9.2641445e-24
relative error = 2.3027080433803456379997022118415e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1064
y[1] (analytic) = 4.0234543432841525918930357070611
y[1] (numeric) = 4.0234543432841525918930451191968
absolute error = 9.4121357e-24
relative error = 2.3393171381975532888310860170155e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1065
y[1] (analytic) = 4.0237567038362566452281803846076
y[1] (numeric) = 4.0237567038362566452281899447638
absolute error = 9.5601562e-24
relative error = 2.3759279955682535274604492588745e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1066
y[1] (analytic) = 4.0240590946259277621238640548039
y[1] (numeric) = 4.0240590946259277621238737630102
absolute error = 9.7082063e-24
relative error = 2.4125406888196964946495196473097e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1067
y[1] (analytic) = 4.0243615156561898504793178098551
y[1] (numeric) = 4.024361515656189850479327666141
absolute error = 9.8562859e-24
relative error = 2.4491551918622522710540491189038e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1068
y[1] (analytic) = 4.0246639669300671205996827085688
y[1] (numeric) = 4.0246639669300671205996927129638
absolute error = 1.00043950e-23
relative error = 2.4857715034607352993871115397708e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1069
y[1] (analytic) = 4.0249664484505840852262518794316
y[1] (numeric) = 4.0249664484505840852262620319653
absolute error = 1.01525337e-23
relative error = 2.5223896472250670965645090403217e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.107
y[1] (analytic) = 4.0252689602207655595667156480479
y[1] (numeric) = 4.0252689602207655595667259487498
absolute error = 1.03007019e-23
relative error = 2.5590095970717591041086252174570e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1071
y[1] (analytic) = 4.0255715022436366613254096892413
y[1] (numeric) = 4.0255715022436366613254201381409
absolute error = 1.04488996e-23
relative error = 2.5956313517661644663103866649660e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1072
y[1] (analytic) = 4.0258740745222228107335662041234
y[1] (numeric) = 4.0258740745222228107335768012503
absolute error = 1.05971269e-23
relative error = 2.6322549349131421514309288698484e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1073
y[1] (analytic) = 4.0261766770595497305795681224315
y[1] (numeric) = 4.0261766770595497305795788678153
absolute error = 1.07453838e-23
relative error = 2.6688803452728035597057579897586e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1074
y[1] (analytic) = 4.0264793098586434462392063304377
y[1] (numeric) = 4.0264793098586434462392172241078
absolute error = 1.08936701e-23
relative error = 2.7055075319342547971240156910166e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1075
y[1] (analytic) = 4.0267819729225302857059399247315
y[1] (numeric) = 4.0267819729225302857059509667175
absolute error = 1.10419860e-23
relative error = 2.7421365433366194655326051828562e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1076
y[1] (analytic) = 4.0270846662542368796211594921801
y[1] (numeric) = 4.0270846662542368796211706825116
absolute error = 1.11903315e-23
relative error = 2.7787673782405484823156813929904e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1077
y[1] (analytic) = 4.0273873898567901613044534163676
y[1] (numeric) = 4.0273873898567901613044647550741
absolute error = 1.13387065e-23
relative error = 2.8154000105768799612242305612194e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1078
y[1] (analytic) = 4.0276901437332173667838772108156
y[1] (numeric) = 4.0276901437332173667838886979267
absolute error = 1.14871111e-23
relative error = 2.8520344639403505376289293605026e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1079
y[1] (analytic) = 4.0279929278865460348262258792894
y[1] (numeric) = 4.0279929278865460348262375148347
absolute error = 1.16355453e-23
relative error = 2.8886707370921509098549622151824e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.108
y[1] (analytic) = 4.0282957423198040069673093034912
y[1] (numeric) = 4.0282957423198040069673210875002
absolute error = 1.17840090e-23
relative error = 2.9253088039692579559551822456967e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1081
y[1] (analytic) = 4.028598587036019427542230658443
y[1] (numeric) = 4.0285985870360194275422425909453
absolute error = 1.19325023e-23
relative error = 2.9619486881613485269891366208371e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1082
y[1] (analytic) = 4.0289014620382207437156678558633
y[1] (numeric) = 4.0289014620382207437156799368885
absolute error = 1.20810252e-23
relative error = 2.9985903884301530840605965139446e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1083
y[1] (analytic) = 4.0292043673294367055121580158392
y[1] (numeric) = 4.0292043673294367055121702454168
absolute error = 1.22295776e-23
relative error = 3.0352338787187864056377843253726e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1084
y[1] (analytic) = 4.0295073029126963658463849670964
y[1] (numeric) = 4.029507302912696365846397345256
absolute error = 1.23781596e-23
relative error = 3.0718791826118663858698688078098e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1085
y[1] (analytic) = 4.0298102687910290805534697761718
y[1] (numeric) = 4.0298102687910290805534823029431
absolute error = 1.25267713e-23
relative error = 3.1085263236867272978763055076803e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1086
y[1] (analytic) = 4.03011326496746450841926430579
y[1] (numeric) = 4.0301132649674645084192769812026
absolute error = 1.26754126e-23
relative error = 3.1451752758870239404322449810068e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1087
y[1] (analytic) = 4.0304162914450326112106478027467
y[1] (numeric) = 4.0304162914450326112106606268302
absolute error = 1.28240835e-23
relative error = 3.1818260379753868084744161707409e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1088
y[1] (analytic) = 4.030719348226763653705826515603
y[1] (numeric) = 4.0307193482267636537058394883869
absolute error = 1.29727839e-23
relative error = 3.2184785839051590641630828822081e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1089
y[1] (analytic) = 4.0310224353156882037246363424926
y[1] (numeric) = 4.0310224353156882037246494640065
absolute error = 1.31215139e-23
relative error = 3.2551329372525293152216975039721e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.109
y[1] (analytic) = 4.0313255527148371321588485093454
y[1] (numeric) = 4.031325552714837132158861779619
absolute error = 1.32702736e-23
relative error = 3.2917891215864044176438865736279e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1091
y[1] (analytic) = 4.0316287004272416130024782788307
y[1] (numeric) = 4.0316287004272416130024916978936
absolute error = 1.34190629e-23
relative error = 3.3284471108606675231681056762819e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1092
y[1] (analytic) = 4.0319318784559331233820966903224
y[1] (numeric) = 4.0319318784559331233821102582042
absolute error = 1.35678818e-23
relative error = 3.3651069038388491093494850525623e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1093
y[1] (analytic) = 4.0322350868039434435871453311898
y[1] (numeric) = 4.0322350868039434435871590479202
absolute error = 1.37167304e-23
relative error = 3.4017685240848009669992004478868e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1094
y[1] (analytic) = 4.0325383254743046571002541397177
y[1] (numeric) = 4.0325383254743046571002680053264
absolute error = 1.38656087e-23
relative error = 3.4384319703568187918802626274209e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1095
y[1] (analytic) = 4.0328415944700491506275622399578
y[1] (numeric) = 4.0328415944700491506275762544743
absolute error = 1.40145165e-23
relative error = 3.4750971918205556765631100247807e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1096
y[1] (analytic) = 4.0331448937942096141290418088151
y[1] (numeric) = 4.0331448937942096141290559722691
absolute error = 1.41634540e-23
relative error = 3.5117642368349504969176283384472e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1097
y[1] (analytic) = 4.0334482234498190408488249756734
y[1] (numeric) = 4.0334482234498190408488392880945
absolute error = 1.43124211e-23
relative error = 3.5484330793661578225553119880716e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1098
y[1] (analytic) = 4.0337515834399107273455337548612
y[1] (numeric) = 4.0337515834399107273455482162792
absolute error = 1.44614180e-23
relative error = 3.5851037677604239303784856749612e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1099
y[1] (analytic) = 4.0340549737675182735226130112641
y[1] (numeric) = 4.0340549737675182735226276217086
absolute error = 1.46104445e-23
relative error = 3.6217762511934466254976352956902e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.11
y[1] (analytic) = 4.0343583944356755826586664593838
y[1] (numeric) = 4.0343583944356755826586812188843
absolute error = 1.47595005e-23
relative error = 3.6584505036431085218051148022046e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1101
y[1] (analytic) = 4.0346618454474168614377956961494
y[1] (numeric) = 4.0346618454474168614378106047358
absolute error = 1.49085864e-23
relative error = 3.6951266230210522249387370763200e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=3.9MB, time=0.51
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1102
y[1] (analytic) = 4.0349653268057766199799422677845
y[1] (numeric) = 4.0349653268057766199799573254863
absolute error = 1.50577018e-23
relative error = 3.7318045089423896517415805488926e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1103
y[1] (analytic) = 4.0352688385137896718712327710309
y[1] (numeric) = 4.0352688385137896718712479778778
absolute error = 1.52068469e-23
relative error = 3.7684842097412176765668909403598e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1104
y[1] (analytic) = 4.0355723805744911341943269890359
y[1] (numeric) = 4.0355723805744911341943423450576
absolute error = 1.53560217e-23
relative error = 3.8051657241776359930681784185818e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1105
y[1] (analytic) = 4.0358759529909164275587690622037
y[1] (numeric) = 4.0358759529909164275587845674299
absolute error = 1.55052262e-23
relative error = 3.8418490510119248241828063816234e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1106
y[1] (analytic) = 4.0361795557661012761313416943164
y[1] (numeric) = 4.0361795557661012761313573487769
absolute error = 1.56544605e-23
relative error = 3.8785342137804496136455275989401e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1107
y[1] (analytic) = 4.0364831889030817076664233942273
y[1] (numeric) = 4.0364831889030817076664391979517
absolute error = 1.58037244e-23
relative error = 3.9152211616901785513912849159501e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1108
y[1] (analytic) = 4.0367868524048940535363487534294
y[1] (numeric) = 4.0367868524048940535363647064474
absolute error = 1.59530180e-23
relative error = 3.9519099182797019211994873845668e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1109
y[1] (analytic) = 4.0370905462745749487617717598047
y[1] (numeric) = 4.0370905462745749487617878621459
absolute error = 1.61023412e-23
relative error = 3.9886004575397081603479733382823e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.111
y[1] (analytic) = 4.0373942705151613320420321478555
y[1] (numeric) = 4.0373942705151613320420483995497
absolute error = 1.62516942e-23
relative error = 4.0252928277738712857946306468392e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1111
y[1] (analytic) = 4.0376980251296904457855247857235
y[1] (numeric) = 4.0376980251296904457855411868004
absolute error = 1.64010769e-23
relative error = 4.0619870029713772601430822184253e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1112
y[1] (analytic) = 4.0380018101211998361400720992989
y[1] (numeric) = 4.0380018101211998361400886497882
absolute error = 1.65504893e-23
relative error = 4.0986829818937699520754729386197e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1113
y[1] (analytic) = 4.0383056254927273530232995337239
y[1] (numeric) = 4.0383056254927273530233162336553
absolute error = 1.66999314e-23
relative error = 4.1353807633027737425778298572204e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1114
y[1] (analytic) = 4.0386094712473111501530140525943
y[1] (numeric) = 4.0386094712473111501530309019976
absolute error = 1.68494033e-23
relative error = 4.1720803707212912651999533238467e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1115
y[1] (analytic) = 4.0389133473879896850775856751631
y[1] (numeric) = 4.038913347387989685077602674068
absolute error = 1.69989049e-23
relative error = 4.2087817781466842852116745114499e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1116
y[1] (analytic) = 4.0392172539178017192063320518491
y[1] (numeric) = 4.0392172539178017192063492002853
absolute error = 1.71484362e-23
relative error = 4.2454849843412189897642431912848e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1117
y[1] (analytic) = 4.0395211908397863178399060783556
y[1] (numeric) = 4.0395211908397863178399233763529
absolute error = 1.72979973e-23
relative error = 4.2821900128227512570223109852320e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1118
y[1] (analytic) = 4.0398251581569828502006865487026
y[1] (numeric) = 4.0398251581569828502007039962907
absolute error = 1.74475881e-23
relative error = 4.3188968375947737648876834804699e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1119
y[1] (analytic) = 4.0401291558724309894631718474753
y[1] (numeric) = 4.0401291558724309894631894446839
absolute error = 1.75972086e-23
relative error = 4.3556054574200944873188826933351e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.112
y[1] (analytic) = 4.0404331839891707127843766815947
y[1] (numeric) = 4.0404331839891707127843944284536
absolute error = 1.77468589e-23
relative error = 4.3923158958115233741178705291677e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1121
y[1] (analytic) = 4.0407372425102423013342318519133
y[1] (numeric) = 4.0407372425102423013342497484523
absolute error = 1.78965390e-23
relative error = 4.4290281515266422471552895682562e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1122
y[1] (analytic) = 4.0410413314386863403259870649394
y[1] (numeric) = 4.0410413314386863403260051111882
absolute error = 1.80462488e-23
relative error = 4.4657421985771171757577049801091e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1123
y[1] (analytic) = 4.0413454507775437190466167849951
y[1] (numeric) = 4.0413454507775437190466349809835
absolute error = 1.81959884e-23
relative error = 4.5024580604707132904983870107339e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1124
y[1] (analytic) = 4.0416496005298556308872291271113
y[1] (numeric) = 4.0416496005298556308872474728691
absolute error = 1.83457578e-23
relative error = 4.5391757359655552962117171449500e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1125
y[1] (analytic) = 4.0419537806986635733734777909644
y[1] (numeric) = 4.0419537806986635733734962865212
absolute error = 1.84955568e-23
relative error = 4.5758951743389279246320108791027e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1126
y[1] (analytic) = 4.0422579912870093481959770361576
y[1] (numeric) = 4.0422579912870093481959956815433
absolute error = 1.86453857e-23
relative error = 4.6126164485764352490127923877219e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1127
y[1] (analytic) = 4.042562232297935061240719699153
y[1] (numeric) = 4.0425622322979350612407384943974
absolute error = 1.87952444e-23
relative error = 4.6493395326943723204501068209603e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1128
y[1] (analytic) = 4.0428665037344831226194982521566
y[1] (numeric) = 4.0428665037344831226195171972895
absolute error = 1.89451329e-23
relative error = 4.6860644254515877513253058426523e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1129
y[1] (analytic) = 4.0431708055996962467003289042617
y[1] (numeric) = 4.0431708055996962467003479993128
absolute error = 1.90950511e-23
relative error = 4.7227911008740477643155417274495e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.113
y[1] (analytic) = 4.0434751378966174521378787451541
y[1] (numeric) = 4.0434751378966174521378979901533
absolute error = 1.92449992e-23
relative error = 4.7595196071889514517872908775032e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1131
y[1] (analytic) = 4.0437795006282900619038959316845
y[1] (numeric) = 4.0437795006282900619039153266616
absolute error = 1.93949771e-23
relative error = 4.7962499184207654848264751926432e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1132
y[1] (analytic) = 4.0440838937977577033176429176113
y[1] (numeric) = 4.044083893797757703317662462596
absolute error = 1.95449847e-23
relative error = 4.8329820086015835212651242549131e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1133
y[1] (analytic) = 4.0443883174080643080763327268183
y[1] (numeric) = 4.0443883174080643080763524218404
absolute error = 1.96950221e-23
relative error = 4.8697159012223609759377569235168e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1134
y[1] (analytic) = 4.0446927714622541122855682703124
y[1] (numeric) = 4.0446927714622541122855881154018
absolute error = 1.98450894e-23
relative error = 4.9064516197667890958911633876874e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1135
y[1] (analytic) = 4.0449972559633716564897847073051
y[1] (numeric) = 4.0449972559633716564898047024916
absolute error = 1.99951865e-23
relative error = 4.9431891382675046318479943311083e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1136
y[1] (analytic) = 4.0453017709144617857026948506821
y[1] (numeric) = 4.0453017709144617857027149959955
absolute error = 2.01453134e-23
relative error = 4.9799284554848044703289719177743e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1137
y[1] (analytic) = 4.0456063163185696494377376171658
y[1] (numeric) = 4.0456063163185696494377579126359
absolute error = 2.02954701e-23
relative error = 5.0166695701791665221641544100662e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1138
y[1] (analytic) = 4.0459108921787407017385295224749
y[1] (numeric) = 4.0459108921787407017385499681316
absolute error = 2.04456567e-23
relative error = 5.0534125058275627249118665287279e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1139
y[1] (analytic) = 4.0462154984980207012093192217863
y[1] (numeric) = 4.0462154984980207012093398176595
absolute error = 2.05958732e-23
relative error = 5.0901572611852509669564844976268e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
memory used=15.2MB, alloc=4.0MB, time=0.69
x[1] = 1.114
y[1] (analytic) = 4.0465201352794557110454450958028
y[1] (numeric) = 4.0465201352794557110454658419223
absolute error = 2.07461195e-23
relative error = 5.1269038102950789963713814424001e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1141
y[1] (analytic) = 4.0468248025260920990637958827318
y[1] (numeric) = 4.0468248025260920990638167791274
absolute error = 2.08963956e-23
relative error = 5.1636521519182493634825858638217e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1142
y[1] (analytic) = 4.0471295002409765377332743564796
y[1] (numeric) = 4.0471295002409765377332954031811
absolute error = 2.10467015e-23
relative error = 5.2004022848161456317582118153466e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1143
y[1] (analytic) = 4.0474342284271560042052640513659
y[1] (numeric) = 4.0474342284271560042052852484031
absolute error = 2.11970372e-23
relative error = 5.2371542077503323755581440179672e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1144
y[1] (analytic) = 4.0477389870876777803440990336628
y[1] (numeric) = 4.0477389870876777803441203810657
absolute error = 2.13474029e-23
relative error = 5.2739079688928557525955955899756e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1145
y[1] (analytic) = 4.048043776225589452757536720264
y[1] (numeric) = 4.0480437762255894527575582180624
absolute error = 2.14977984e-23
relative error = 5.3106635175879012834291865039608e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1146
y[1] (analytic) = 4.0483485958439389128272337447873
y[1] (numeric) = 4.0483485958439389128272553930111
absolute error = 2.16482238e-23
relative error = 5.3474208772990072606093407123008e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1147
y[1] (analytic) = 4.0486534459457743567392248714167
y[1] (numeric) = 4.0486534459457743567392466700958
absolute error = 2.17986791e-23
relative error = 5.3841800467828830382111771781803e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1148
y[1] (analytic) = 4.0489583265341442855144049567883
y[1] (numeric) = 4.0489583265341442855144269059525
absolute error = 2.19491642e-23
relative error = 5.4209410000987091766591156405256e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1149
y[1] (analytic) = 4.0492632376120975050390139602244
y[1] (numeric) = 4.0492632376120975050390360599037
absolute error = 2.20996793e-23
relative error = 5.4577037854008386192043865430419e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.115
y[1] (analytic) = 4.0495681791826831260951250026217
y[1] (numeric) = 4.0495681791826831260951472528459
absolute error = 2.22502242e-23
relative error = 5.4944683520529642489607864574836e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1151
y[1] (analytic) = 4.049873151248950564391135474297
y[1] (numeric) = 4.0498731512489505643911578750959
absolute error = 2.24007989e-23
relative error = 5.5312346988181003400393667489385e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1152
y[1] (analytic) = 4.0501781538139495405922611920967
y[1] (numeric) = 4.0501781538139495405922837435003
absolute error = 2.25514036e-23
relative error = 5.5680028738399860256274394360390e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1153
y[1] (analytic) = 4.0504831868807300803510336060747
y[1] (numeric) = 4.0504831868807300803510563081129
absolute error = 2.27020382e-23
relative error = 5.6047728511824287712100152854598e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1154
y[1] (analytic) = 4.0507882504523425143378000560426
y[1] (numeric) = 4.0507882504523425143378229087453
absolute error = 2.28527027e-23
relative error = 5.6415446296034085507916345074613e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1155
y[1] (analytic) = 4.0510933445318374782712270782992
y[1] (numeric) = 4.0510933445318374782712500816963
absolute error = 2.30033971e-23
relative error = 5.6783182078610868867477683374362e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1156
y[1] (analytic) = 4.0513984691222659129488067628419
y[1] (numeric) = 4.0513984691222659129488299169633
absolute error = 2.31541214e-23
relative error = 5.7150935847138068475379822490976e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1157
y[1] (analytic) = 4.0517036242266790642773661613677
y[1] (numeric) = 4.0517036242266790642773894662433
absolute error = 2.33048756e-23
relative error = 5.7518707589200930454146291092558e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1158
y[1] (analytic) = 4.0520088098481284833035797463664
y[1] (numeric) = 4.0520088098481284833036032020262
absolute error = 2.34556598e-23
relative error = 5.7886497539177687567149814292332e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1159
y[1] (analytic) = 4.0523140259896660262444849216132
y[1] (numeric) = 4.052314025989666026244508528087
absolute error = 2.36064738e-23
relative error = 5.8254305191056286233871980151474e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.116
y[1] (analytic) = 4.052619272654343854518000584364
y[1] (numeric) = 4.0526192726543438545180243416818
absolute error = 2.37573178e-23
relative error = 5.8622131025991175028985960523118e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1161
y[1] (analytic) = 4.0529245498452144347734487395605
y[1] (numeric) = 4.0529245498452144347734726477522
absolute error = 2.39081917e-23
relative error = 5.8989974784783693195019569385955e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1162
y[1] (analytic) = 4.0532298575653305389220791663486
y[1] (numeric) = 4.0532298575653305389221032254442
absolute error = 2.40590956e-23
relative error = 5.9357836701744991164500280158665e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1163
y[1] (analytic) = 4.0535351958177452441675971372164
y[1] (numeric) = 4.0535351958177452441676213472459
absolute error = 2.42100295e-23
relative error = 5.9725716764415457150458596752658e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1164
y[1] (analytic) = 4.0538405646055119330366941900568
y[1] (numeric) = 4.0538405646055119330367185510501
absolute error = 2.43609933e-23
relative error = 6.0093614713657643293435363727261e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1165
y[1] (analytic) = 4.0541459639316842934095819534597
y[1] (numeric) = 4.0541459639316842934096064654467
absolute error = 2.45119870e-23
relative error = 6.0461530537071326862610752713764e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1166
y[1] (analytic) = 4.0544513937993163185505290255394
y[1] (numeric) = 4.0544513937993163185505536885501
absolute error = 2.46630107e-23
relative error = 6.0829464468900593476992305458330e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1167
y[1] (analytic) = 4.0547568542114623071384009066034
y[1] (numeric) = 4.0547568542114623071384257206677
absolute error = 2.48140643e-23
relative error = 6.1197416250069196669234189516186e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1168
y[1] (analytic) = 4.0550623451711768632972029859656
y[1] (numeric) = 4.0550623451711768632972279511135
absolute error = 2.49651479e-23
relative error = 6.1565386114787695161118285555208e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1169
y[1] (analytic) = 4.0553678666815148966266265832126
y[1] (numeric) = 4.0553678666815148966266516994741
absolute error = 2.51162615e-23
relative error = 6.1933374050607393895585526801198e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.117
y[1] (analytic) = 4.0556734187455316222325980442257
y[1] (numeric) = 4.0556734187455316222326233116307
absolute error = 2.52674050e-23
relative error = 6.2301379798513241938625249153462e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1171
y[1] (analytic) = 4.0559790013662825607578308922655
y[1] (numeric) = 4.055979001366282560757856310844
absolute error = 2.54185785e-23
relative error = 6.2669403592665515965010408481215e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1172
y[1] (analytic) = 4.0562846145468235384123810344248
y[1] (numeric) = 4.0562846145468235384124066042068
absolute error = 2.55697820e-23
relative error = 6.3037445420620980380401553943154e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1173
y[1] (analytic) = 4.0565902582902106870042050237544
y[1] (numeric) = 4.0565902582902106870042307447699
absolute error = 2.57210155e-23
relative error = 6.3405505269938220306144236414418e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1174
y[1] (analytic) = 4.0568959325995004439697213773683
y[1] (numeric) = 4.0568959325995004439697472496473
absolute error = 2.58722790e-23
relative error = 6.3773583128177641555809465421069e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1175
y[1] (analytic) = 4.0572016374777495524043749508334
y[1] (numeric) = 4.0572016374777495524044009744058
absolute error = 2.60235724e-23
relative error = 6.4141678736426168333720206426130e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1176
y[1] (analytic) = 4.057507372928015061093204369149
y[1] (numeric) = 4.0575073729280150610932305440449
absolute error = 2.61748959e-23
relative error = 6.4509792575217024375180859564270e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1177
y[1] (analytic) = 4.0578131389533543245414125146232
y[1] (numeric) = 4.0578131389533543245414388408726
absolute error = 2.63262494e-23
relative error = 6.4877924385622202157623432180202e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1178
y[1] (analytic) = 4.0581189355568250030049400719501
y[1] (numeric) = 4.058118935556825003004966549583
absolute error = 2.64776329e-23
relative error = 6.5246074155209390028009366026932e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
memory used=19.0MB, alloc=4.0MB, time=0.87
x[1] = 1.1179
y[1] (analytic) = 4.0584247627414850625210421307946
y[1] (numeric) = 4.0584247627414850625210687598411
absolute error = 2.66290465e-23
relative error = 6.5614242117949116628443660038043e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.118
y[1] (analytic) = 4.058730620510392774938867846191
y[1] (numeric) = 4.058730620510392774938894626681
absolute error = 2.67804900e-23
relative error = 6.5982427768592103704084915660263e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1181
y[1] (analytic) = 4.0590365088666067179500431570591
y[1] (numeric) = 4.0590365088666067179500700890226
absolute error = 2.69319635e-23
relative error = 6.6350631341131090200962813213041e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1182
y[1] (analytic) = 4.0593424278131857751192565631466
y[1] (numeric) = 4.0593424278131857751192836466138
absolute error = 2.70834672e-23
relative error = 6.6718853315831682004415793710068e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1183
y[1] (analytic) = 4.0596483773531891359148479607015
y[1] (numeric) = 4.0596483773531891359148751957023
absolute error = 2.72350008e-23
relative error = 6.7087092941179020641340112213592e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1184
y[1] (analytic) = 4.0599543574896762957394005371804
y[1] (numeric) = 4.0599543574896762957394279237449
absolute error = 2.73865645e-23
relative error = 6.7455350697423792181485189257844e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1185
y[1] (analytic) = 4.0602603682257070559603357253005
y[1] (numeric) = 4.0602603682257070559603632634587
absolute error = 2.75381582e-23
relative error = 6.7823626325801116451320519874099e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1186
y[1] (analytic) = 4.060566409564341523940511216739
y[1] (numeric) = 4.0605664095643415239405389065209
absolute error = 2.76897819e-23
relative error = 6.8191919813893251376645159180981e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1187
y[1] (analytic) = 4.0608724815086401130688220357869
y[1] (numeric) = 4.0608724815086401130688498772226
absolute error = 2.78414357e-23
relative error = 6.8560231395536775081253671193118e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1188
y[1] (analytic) = 4.0611785840616635427908046732642
y[1] (numeric) = 4.0611785840616635427908326663837
absolute error = 2.79931195e-23
relative error = 6.8928560812027964919667992484537e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1189
y[1] (analytic) = 4.061484717226472838639244281
y[1] (numeric) = 4.0614847172264728386392724258334
absolute error = 2.81448334e-23
relative error = 6.9296908297169921978809338969445e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.119
y[1] (analytic) = 4.0617908810061293322647849271863
y[1] (numeric) = 4.0617908810061293322648132237637
absolute error = 2.82965774e-23
relative error = 6.9665273838496511802407246095145e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1191
y[1] (analytic) = 4.0620970754036946614665429129098
y[1] (numeric) = 4.0620970754036946614665713612613
absolute error = 2.84483515e-23
relative error = 7.0033657423543425873232927782067e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1192
y[1] (analytic) = 4.0624033004222307702227231501687
y[1] (numeric) = 4.0624033004222307702227517503243
absolute error = 2.86001556e-23
relative error = 7.0402058793688476102378972388653e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1193
y[1] (analytic) = 4.0627095560647999087212386016801
y[1] (numeric) = 4.0627095560647999087212673536699
absolute error = 2.87519898e-23
relative error = 7.0770478182667823344053176792746e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1194
y[1] (analytic) = 4.0630158423344646333903327827847
y[1] (numeric) = 4.0630158423344646333903616866388
absolute error = 2.89038541e-23
relative error = 7.1138915578022633927355192920249e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1195
y[1] (analytic) = 4.0633221592342878069292053257549
y[1] (numeric) = 4.0633221592342878069292343815034
absolute error = 2.90557485e-23
relative error = 7.1507370967295900023860036714621e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1196
y[1] (analytic) = 4.0636285067673325983386406068122
y[1] (numeric) = 4.0636285067673325983386698144851
absolute error = 2.92076729e-23
relative error = 7.1875844091946952641822843461649e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1197
y[1] (analytic) = 4.0639348849366624829516394361603
y[1] (numeric) = 4.0639348849366624829516687957878
absolute error = 2.93596275e-23
relative error = 7.2244335431711961799076299795402e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1198
y[1] (analytic) = 4.0642412937453412424640538113413
y[1] (numeric) = 4.0642412937453412424640833229535
absolute error = 2.95116122e-23
relative error = 7.2612844728035356854378750969958e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1199
y[1] (analytic) = 4.0645477331964329649652247342192
y[1] (numeric) = 4.0645477331964329649652543978461
absolute error = 2.96636269e-23
relative error = 7.2981371722437600111050872429599e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.12
y[1] (analytic) = 4.0648542032930020449686230918988
y[1] (numeric) = 4.0648542032930020449686529075706
absolute error = 2.98156718e-23
relative error = 7.3349916894549028023679544266776e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1201
y[1] (analytic) = 4.0651607040381131834424936018865
y[1] (numeric) = 4.0651607040381131834425235696333
absolute error = 2.99677468e-23
relative error = 7.3718479985875203926303757068652e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1202
y[1] (analytic) = 4.0654672354348313878405018217978
y[1] (numeric) = 4.0654672354348313878405319416497
absolute error = 3.01198519e-23
relative error = 7.4087060983971900206770601149708e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1203
y[1] (analytic) = 4.0657737974862219721323842239195
y[1] (numeric) = 4.0657737974862219721324144959067
absolute error = 3.02719872e-23
relative error = 7.4455660122352355771968521424360e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1204
y[1] (analytic) = 4.066080390195350556834601334933
y[1] (numeric) = 4.0660803901953505568346317590855
absolute error = 3.04241525e-23
relative error = 7.4824276896646166861323116974830e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1205
y[1] (analytic) = 4.066387013565283069040993941104
y[1] (numeric) = 4.0663870135652830690410245174519
absolute error = 3.05763479e-23
relative error = 7.5192911540388770220165235593055e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1206
y[1] (analytic) = 4.0666936675990857424534423592466
y[1] (numeric) = 4.0666936675990857424534730878202
absolute error = 3.07285736e-23
relative error = 7.5561564532943254024261865586149e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1207
y[1] (analytic) = 4.067000352299825117412528773768
y[1] (numeric) = 4.0670003522998251174125596545974
absolute error = 3.08808294e-23
relative error = 7.5930235370000333913181993426427e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1208
y[1] (analytic) = 4.0673070676705680409282026400994
y[1] (numeric) = 4.0673070676705680409282336732146
absolute error = 3.10331152e-23
relative error = 7.6298923793263819524403971645585e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1209
y[1] (analytic) = 4.0676138137143816667104491548211
y[1] (numeric) = 4.0676138137143816667104803402524
absolute error = 3.11854313e-23
relative error = 7.6667630527891033671426931647276e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.121
y[1] (analytic) = 4.0679205904343334551999607927883
y[1] (numeric) = 4.0679205904343334551999921305658
absolute error = 3.13377775e-23
relative error = 7.7036355069689434062077099615548e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1211
y[1] (analytic) = 4.0682273978334911735988119115632
y[1] (numeric) = 4.0682273978334911735988434017171
absolute error = 3.14901539e-23
relative error = 7.7405097652038533360152719727307e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1212
y[1] (analytic) = 4.0685342359149228959011364234616
y[1] (numeric) = 4.068534235914922895901168066022
absolute error = 3.16425604e-23
relative error = 7.7773858016667989669254020271511e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1213
y[1] (analytic) = 4.0688411046816970029238085355193
y[1] (numeric) = 4.0688411046816970029238403305165
absolute error = 3.17949972e-23
relative error = 7.8142636642694120502600791198615e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1214
y[1] (analytic) = 4.0691480041368821823371265576872
y[1] (numeric) = 4.0691480041368821823371585051513
absolute error = 3.19474641e-23
relative error = 7.8511433026080017636285272636688e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1215
y[1] (analytic) = 4.0694549342835474286954997795591
y[1] (numeric) = 4.0694549342835474286955318795203
absolute error = 3.20999612e-23
relative error = 7.8880247400138356876770339333381e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1216
y[1] (analytic) = 4.0697618951247620434681384159419
y[1] (numeric) = 4.0697618951247620434681706684303
absolute error = 3.22524884e-23
relative error = 7.9249079506680260688267513493845e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1217
y[1] (analytic) = 4.0700688866635956350697466215728
y[1] (numeric) = 4.0700688866635956350697790266186
absolute error = 3.24050458e-23
relative error = 7.9617929578984990540058169163466e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=22.8MB, alloc=4.1MB, time=1.05
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1218
y[1] (analytic) = 4.0703759089031181188912185752924
y[1] (numeric) = 4.0703759089031181188912511329259
absolute error = 3.25576335e-23
relative error = 7.9986797850259503253069439007736e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1219
y[1] (analytic) = 4.0706829618463997173303376339791
y[1] (numeric) = 4.0706829618463997173303703442303
absolute error = 3.27102512e-23
relative error = 8.0355683571002367762046291212571e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.122
y[1] (analytic) = 4.0709900454965109598224785565521
y[1] (numeric) = 4.0709900454965109598225114194513
absolute error = 3.28628992e-23
relative error = 8.0724587465779312068077604917258e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1221
y[1] (analytic) = 4.0712971598565226828713127983514
y[1] (numeric) = 4.0712971598565226828713458139288
absolute error = 3.30155774e-23
relative error = 8.1093509276447676235830209126236e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1222
y[1] (analytic) = 4.0716043049295060300795168761995
y[1] (numeric) = 4.0716043049295060300795500444853
absolute error = 3.31682858e-23
relative error = 8.1462448990544185857173641201905e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1223
y[1] (analytic) = 4.0719114807185324521794838044542
y[1] (numeric) = 4.0719114807185324521795171254787
absolute error = 3.33210245e-23
relative error = 8.1831406841192303762237264340160e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1224
y[1] (analytic) = 4.072218687226673707064037602358
y[1] (numeric) = 4.0722186872266737070640710761513
absolute error = 3.34737933e-23
relative error = 8.2200382324744077433277852532215e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1225
y[1] (analytic) = 4.0725259244570018598171508729917
y[1] (numeric) = 4.0725259244570018598171844995841
absolute error = 3.36265924e-23
relative error = 8.2569375919893012727858922890662e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1226
y[1] (analytic) = 4.0728331924125892827446654541401
y[1] (numeric) = 4.0728331924125892827446992335618
absolute error = 3.37794217e-23
relative error = 8.2938387368598254697093134683083e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1227
y[1] (analytic) = 4.0731404910965086554050161413757
y[1] (numeric) = 4.0731404910965086554050500736569
absolute error = 3.39322812e-23
relative error = 8.3307416658405685529061173844561e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1228
y[1] (analytic) = 4.0734478205118329646399574836688
y[1] (numeric) = 4.0734478205118329646399915688398
absolute error = 3.40851710e-23
relative error = 8.3676464022355299827763387250164e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1229
y[1] (analytic) = 4.0737551806616355046052936518308
y[1] (numeric) = 4.0737551806616355046053278899218
absolute error = 3.42380910e-23
relative error = 8.4045529202467315150810460486644e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.123
y[1] (analytic) = 4.0740625715489898768016113800976
y[1] (numeric) = 4.0740625715489898768016457711388
absolute error = 3.43910412e-23
relative error = 8.4414612186293108470667900231907e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1231
y[1] (analytic) = 4.0743699931769699901050159811612
y[1] (numeric) = 4.0743699931769699901050505251828
absolute error = 3.45440216e-23
relative error = 8.4783712961385887360710548096878e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1232
y[1] (analytic) = 4.0746774455486500607978704349562
y[1] (numeric) = 4.0746774455486500607979051319886
absolute error = 3.46970324e-23
relative error = 8.5152832006137087875116956468343e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1233
y[1] (analytic) = 4.0749849286671046125995375515095
y[1] (numeric) = 4.0749849286671046125995724015829
absolute error = 3.48500734e-23
relative error = 8.5521968817193107449809115303969e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1234
y[1] (analytic) = 4.0752924425354084766971252081589
y[1] (numeric) = 4.0752924425354084766971602113036
absolute error = 3.50031447e-23
relative error = 8.5891123627493814181789479001930e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1235
y[1] (analytic) = 4.0755999871566367917762346614505
y[1] (numeric) = 4.0755999871566367917762698176967
absolute error = 3.51562462e-23
relative error = 8.6260296179181547325101905203072e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1236
y[1] (analytic) = 4.0759075625338650040517119340198
y[1] (numeric) = 4.0759075625338650040517472433978
absolute error = 3.53093780e-23
relative error = 8.6629486705162806812729805725561e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1237
y[1] (analytic) = 4.0762151686701688672984022767659
y[1] (numeric) = 4.076215168670168867298437739306
absolute error = 3.54625401e-23
relative error = 8.6998695192946248068645687797680e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1238
y[1] (analytic) = 4.0765228055686244428819077066258
y[1] (numeric) = 4.0765228055686244428819433223583
absolute error = 3.56157325e-23
relative error = 8.7367921630042362595679625478081e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1239
y[1] (analytic) = 4.0768304732323080997893476202559
y[1] (numeric) = 4.076830473232308099789383389211
absolute error = 3.57689551e-23
relative error = 8.7737165758674887569135186139531e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.124
y[1] (analytic) = 4.0771381716642965146601224839288
y[1] (numeric) = 4.0771381716642965146601584061368
absolute error = 3.59222080e-23
relative error = 8.8106427811683600429430946010149e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1241
y[1] (analytic) = 4.077445900867666671816680599953
y[1] (numeric) = 4.0774459008676666718167166754442
absolute error = 3.60754912e-23
relative error = 8.8475707776584497932116210989038e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1242
y[1] (analytic) = 4.077753660845495863295287949923
y[1] (numeric) = 4.0777536608454958632953241787277
absolute error = 3.62288047e-23
relative error = 8.8845005640895412808280430867990e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1243
y[1] (analytic) = 4.0780614516008616888768011151077
y[1] (numeric) = 4.0780614516008616888768374972562
absolute error = 3.63821485e-23
relative error = 8.9214321392136013738632460930813e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1244
y[1] (analytic) = 4.0783692731368420561174432742844
y[1] (numeric) = 4.078369273136842056117479809807
absolute error = 3.65355226e-23
relative error = 8.9583655017827805327535069602648e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1245
y[1] (analytic) = 4.0786771254565151803795832793269
y[1] (numeric) = 4.078677125456515180379619968254
absolute error = 3.66889271e-23
relative error = 8.9953006750671662174664353637382e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1246
y[1] (analytic) = 4.0789850085629595848625178088547
y[1] (numeric) = 4.0789850085629595848625546512166
absolute error = 3.68423619e-23
relative error = 9.0322376332978214396955312569454e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1247
y[1] (analytic) = 4.0792929224592541006332566002518
y[1] (numeric) = 4.0792929224592541006332935960788
absolute error = 3.69958270e-23
relative error = 9.0691763752274477043084331885104e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1248
y[1] (analytic) = 4.0796008671484778666573107603622
y[1] (numeric) = 4.0796008671484778666573479096846
absolute error = 3.71493224e-23
relative error = 9.1061168996089300981154000723619e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1249
y[1] (analytic) = 4.0799088426337103298294841551707
y[1] (numeric) = 4.0799088426337103298295214580189
absolute error = 3.73028482e-23
relative error = 9.1430592297056888311458745569725e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.125
y[1] (analytic) = 4.080216848918031245004667878777
y[1] (numeric) = 4.0802168489180312450047053351813
absolute error = 3.74564043e-23
relative error = 9.1800033397569241410220121199511e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1251
y[1] (analytic) = 4.0805248860045206750286378019698
y[1] (numeric) = 4.0805248860045206750286754119605
absolute error = 3.76099907e-23
relative error = 9.2169492285160721276342253727557e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1252
y[1] (analytic) = 4.0808329538962589907688552007102
y[1] (numeric) = 4.0808329538962589907688929643177
absolute error = 3.77636075e-23
relative error = 9.2538969192415535972274694660169e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1253
y[1] (analytic) = 4.0811410525963268711452704648326
y[1] (numeric) = 4.0811410525963268711453083820872
absolute error = 3.79172546e-23
relative error = 9.2908463861786707597085840800083e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1254
y[1] (analytic) = 4.0814491821078053031611298872691
y[1] (numeric) = 4.0814491821078053031611679582012
absolute error = 3.80709321e-23
relative error = 9.3277976525825120383031799740242e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1255
y[1] (analytic) = 4.0817573424337755819337855341083
y[1] (numeric) = 4.0817573424337755819338237587481
absolute error = 3.82246398e-23
relative error = 9.3647506682031956590611436382724e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1256
y[1] (analytic) = 4.0820655335773193107255081957938
y[1] (numeric) = 4.0820655335773193107255465741718
absolute error = 3.83783780e-23
relative error = 9.4017055052928308434484231860528e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=26.7MB, alloc=4.1MB, time=1.23
NO POLE
x[1] = 1.1257
y[1] (analytic) = 4.0823737555415184009743034197734
y[1] (numeric) = 4.0823737555415184009743419519199
absolute error = 3.85321465e-23
relative error = 9.4386621136037532616619902124518e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1258
y[1] (analytic) = 4.0826820083294550723247306249041
y[1] (numeric) = 4.0826820083294550723247693108496
absolute error = 3.86859455e-23
relative error = 9.4756205408780905351821624310829e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1259
y[1] (analytic) = 4.082990291944211852658725297924
y[1] (numeric) = 4.0829902919442118526587641376988
absolute error = 3.88397748e-23
relative error = 9.5125807368759448560904407581057e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.126
y[1] (analytic) = 4.0832986063888715781264242722967
y[1] (numeric) = 4.0832986063888715781264632659312
absolute error = 3.89936345e-23
relative error = 9.5495427248424099822507122907006e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1261
y[1] (analytic) = 4.083606951666517393176994089739
y[1] (numeric) = 4.0836069516665173931770332372636
absolute error = 3.91475246e-23
relative error = 9.5865065035272114452806314489406e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1262
y[1] (analytic) = 4.0839153277802327505894624447378
y[1] (numeric) = 4.0839153277802327505895017461828
absolute error = 3.93014450e-23
relative error = 9.6234720471939529843237263865695e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1263
y[1] (analytic) = 4.0842237347331014115035527123662
y[1] (numeric) = 4.0842237347331014115035921677621
absolute error = 3.94553959e-23
relative error = 9.6604394035671891616063839092334e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1264
y[1] (analytic) = 4.0845321725282074454505215597067
y[1] (numeric) = 4.0845321725282074454505611690838
absolute error = 3.96093771e-23
relative error = 9.6974085224264348423594730444008e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1265
y[1] (analytic) = 4.0848406411686352303839996411889
y[1] (numeric) = 4.0848406411686352303840394045777
absolute error = 3.97633888e-23
relative error = 9.7343794514892167805752214334962e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1266
y[1] (analytic) = 4.085149140657469452710835378152
y[1] (numeric) = 4.0851491406574694527108752955829
absolute error = 3.99174309e-23
relative error = 9.7713521650217241370576572517090e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1267
y[1] (analytic) = 4.085457670997795107321941822939
y[1] (numeric) = 4.0854576709977951073219818944423
absolute error = 4.00715033e-23
relative error = 9.8083266372977252436662391100106e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1268
y[1] (analytic) = 4.085766232192697497623146607831
y[1] (numeric) = 4.0857662321926974976231868334372
absolute error = 4.02256062e-23
relative error = 9.8453029160242065373113267958645e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1269
y[1] (analytic) = 4.0860748242452622355660449791319
y[1] (numeric) = 4.0860748242452622355660853588714
absolute error = 4.03797395e-23
relative error = 9.8822809754734559103275942583967e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.127
y[1] (analytic) = 4.0863834471585752416788559167095
y[1] (numeric) = 4.0863834471585752416788964506128
absolute error = 4.05339033e-23
relative error = 9.9192608388683723089682035862008e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1271
y[1] (analytic) = 4.0866921009357227450972813393038
y[1] (numeric) = 4.0866921009357227450973220274012
absolute error = 4.06880974e-23
relative error = 9.9562424560156409821534991727638e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1272
y[1] (analytic) = 4.0870007855797912835953683959093
y[1] (numeric) = 4.0870007855797912835954092382314
absolute error = 4.08423221e-23
relative error = 9.9932258990760176055890423237178e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1273
y[1] (analytic) = 4.0873095010938677036163748435419
y[1] (numeric) = 4.087309501093867703616415840119
absolute error = 4.09965771e-23
relative error = 1.0030211093392432362776376915026e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1274
y[1] (analytic) = 4.0876182474810391603036375116962
y[1] (numeric) = 4.0876182474810391603036786625589
absolute error = 4.11508627e-23
relative error = 1.0067198111114920726113226220323e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1275
y[1] (analytic) = 4.0879270247443931175314438538057
y[1] (numeric) = 4.0879270247443931175314851589843
absolute error = 4.13051786e-23
relative error = 1.0104186877597869963851051390795e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1276
y[1] (analytic) = 4.0882358328870173479359065860104
y[1] (numeric) = 4.0882358328870173479359480455354
absolute error = 4.14595250e-23
relative error = 1.0141177440520168035590554329986e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1277
y[1] (analytic) = 4.0885446719119999329458414135445
y[1] (numeric) = 4.0885446719119999329458830274463
absolute error = 4.16139018e-23
relative error = 1.0178169774170362696385772075128e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1278
y[1] (analytic) = 4.0888535418224292628136478450496
y[1] (numeric) = 4.0888535418224292628136896133587
absolute error = 4.17683091e-23
relative error = 1.0215163901758043009043190889388e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1279
y[1] (analytic) = 4.0891624426213940366461930951248
y[1] (numeric) = 4.0891624426213940366462350178718
absolute error = 4.19227470e-23
relative error = 1.0252159846485592124258853933576e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.128
y[1] (analytic) = 4.0894713743119832624356990754214
y[1] (numeric) = 4.0894713743119832624357411526366
absolute error = 4.20772152e-23
relative error = 1.0289157533736035161426265134452e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1281
y[1] (analytic) = 4.0897803368972862570906324745899
y[1] (numeric) = 4.0897803368972862570906747063039
absolute error = 4.22317140e-23
relative error = 1.0326157035621895856114441505516e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1282
y[1] (analytic) = 4.0900893303803926464665979273916
y[1] (numeric) = 4.0900893303803926464666403136348
absolute error = 4.23862432e-23
relative error = 1.0363158301986996158774574072355e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1283
y[1] (analytic) = 4.0903983547643923653972342732794
y[1] (numeric) = 4.0903983547643923653972768140823
absolute error = 4.25408029e-23
relative error = 1.0400161356032610035748446240305e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1284
y[1] (analytic) = 4.0907074100523756577251139047606
y[1] (numeric) = 4.0907074100523756577251566001537
absolute error = 4.26953931e-23
relative error = 1.0437166196507157806153535720443e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1285
y[1] (analytic) = 4.0910164962474330763326452058481
y[1] (numeric) = 4.0910164962474330763326880558618
absolute error = 4.28500137e-23
relative error = 1.0474172797715441722976019775844e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1286
y[1] (analytic) = 4.0913256133526554831729780809101
y[1] (numeric) = 4.091325613352655483173021085575
absolute error = 4.30046649e-23
relative error = 1.0511181207295703528894952951000e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1287
y[1] (analytic) = 4.0916347613711340493009125742276
y[1] (numeric) = 4.0916347613711340493009557335743
absolute error = 4.31593467e-23
relative error = 1.0548191423991376879401998296500e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1288
y[1] (analytic) = 4.0919439403059602549038105805684
y[1] (numeric) = 4.0919439403059602549038538946272
absolute error = 4.33140588e-23
relative error = 1.0585203373231293212124865503870e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1289
y[1] (analytic) = 4.0922531501602258893325106470856
y[1] (numeric) = 4.0922531501602258893325541158871
absolute error = 4.34688015e-23
relative error = 1.0622217127085123219742590915479e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.129
y[1] (analytic) = 4.0925623909370230511322458668527
y[1] (numeric) = 4.0925623909370230511322894904274
absolute error = 4.36235747e-23
relative error = 1.0659232659862285762325875328211e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1291
y[1] (analytic) = 4.0928716626394441480735648643413
y[1] (numeric) = 4.0928716626394441480736086427197
absolute error = 4.37783784e-23
relative error = 1.0696249970312493407019424441842e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1292
y[1] (analytic) = 4.0931809652705818971832558731522
y[1] (numeric) = 4.0931809652705818971832998063649
absolute error = 4.39332127e-23
relative error = 1.0733269081616520145455582014604e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1293
y[1] (analytic) = 4.0934902988335293247752739063093
y[1] (numeric) = 4.0934902988335293247753179943868
absolute error = 4.40880775e-23
relative error = 1.0770289968089878559488438093135e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1294
y[1] (analytic) = 4.0937996633313797664816710194249
y[1] (numeric) = 4.0937996633313797664817152623978
absolute error = 4.42429729e-23
relative error = 1.0807312652910019856236494369513e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1295
y[1] (analytic) = 4.094109058767226867283529667046
y[1] (numeric) = 4.0941090587672268672835740649447
absolute error = 4.43978987e-23
relative error = 1.0844337085971180113532708572484e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=30.5MB, alloc=4.1MB, time=1.41
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1296
y[1] (analytic) = 4.0944184851441645815418991524907
y[1] (numeric) = 4.0944184851441645815419437053458
absolute error = 4.45528551e-23
relative error = 1.0881363314876518493225162861292e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1297
y[1] (analytic) = 4.0947279424652871730287351714847
y[1] (numeric) = 4.0947279424652871730287798793267
absolute error = 4.47078420e-23
relative error = 1.0918391313949671084524242668247e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1298
y[1] (analytic) = 4.0950374307336892149578424499065
y[1] (numeric) = 4.0950374307336892149578873127661
absolute error = 4.48628596e-23
relative error = 1.0955421130781245550428228767252e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1299
y[1] (analytic) = 4.0953469499524655900158204759515
y[1] (numeric) = 4.0953469499524655900158654938592
absolute error = 4.50179077e-23
relative error = 1.0992452715275446871259493782494e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.13
y[1] (analytic) = 4.0956565001247114903930123270235
y[1] (numeric) = 4.0956565001247114903930575000098
absolute error = 4.51729863e-23
relative error = 1.1029486066183650009325067766048e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1301
y[1] (analytic) = 4.0959660812535224178144565916639
y[1] (numeric) = 4.0959660812535224178145019197594
absolute error = 4.53280955e-23
relative error = 1.1066521206671679170794783304654e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1302
y[1] (analytic) = 4.0962756933419941835708423868281
y[1] (numeric) = 4.0962756933419941835708878700634
absolute error = 4.54832353e-23
relative error = 1.1103558135485742487773312225008e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1303
y[1] (analytic) = 4.0965853363932229085494674708181
y[1] (numeric) = 4.0965853363932229085495131092238
absolute error = 4.56384057e-23
relative error = 1.1140596851372233224028308411117e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1304
y[1] (analytic) = 4.0968950104103050232651994521813
y[1] (numeric) = 4.0968950104103050232652452457879
absolute error = 4.57936066e-23
relative error = 1.1177637328669000784525963182414e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1305
y[1] (analytic) = 4.0972047153963372678914400948848
y[1] (numeric) = 4.0972047153963372678914860437229
absolute error = 4.59488381e-23
relative error = 1.1214679590535227754859540555353e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1306
y[1] (analytic) = 4.0975144513544166922910927200756
y[1] (numeric) = 4.0975144513544166922911388241758
absolute error = 4.61041002e-23
relative error = 1.1251723635717862493624032197718e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1307
y[1] (analytic) = 4.097824218287640656047532704735
y[1] (numeric) = 4.0978242182876406560475789641279
absolute error = 4.62593929e-23
relative error = 1.1288769462964038479823262765819e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1308
y[1] (analytic) = 4.0981340161991068284955810775384
y[1] (numeric) = 4.0981340161991068284956274922546
absolute error = 4.64147162e-23
relative error = 1.1325817071021074310047132081128e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1309
y[1] (analytic) = 4.0984438450919131887524812122295
y[1] (numeric) = 4.0984438450919131887525277822996
absolute error = 4.65700701e-23
relative error = 1.1362866458636473695644378907516e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.131
y[1] (analytic) = 4.0987537049691580257488786188181
y[1] (numeric) = 4.0987537049691580257489253442727
absolute error = 4.67254546e-23
relative error = 1.1399917624557925459890867084380e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1311
y[1] (analytic) = 4.0990635958339399382598038329128
y[1] (numeric) = 4.0990635958339399382598507137825
absolute error = 4.68808697e-23
relative error = 1.1436970567533303535153394771033e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1312
y[1] (analytic) = 4.0993735176893578349356584034968
y[1] (numeric) = 4.0993735176893578349357054398123
absolute error = 4.70363155e-23
relative error = 1.1474025310704638275052725657997e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1313
y[1] (analytic) = 4.0996834705385109343332039794582
y[1] (numeric) = 4.09968347053851093433325117125
absolute error = 4.71917918e-23
relative error = 1.1511081804030386907534998822012e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1314
y[1] (analytic) = 4.0999934543844987649465544951827
y[1] (numeric) = 4.0999934543844987649466018424815
absolute error = 4.73472988e-23
relative error = 1.1548140095045077210024584924739e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1315
y[1] (analytic) = 4.1003034692304211652381714555214
y[1] (numeric) = 4.1003034692304211652382189583578
absolute error = 4.75028364e-23
relative error = 1.1585200158103352491164691728435e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1316
y[1] (analytic) = 4.1006135150793782836698623204406
y[1] (numeric) = 4.1006135150793782836699099788452
absolute error = 4.76584046e-23
relative error = 1.1622261991954012469452931432509e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1317
y[1] (analytic) = 4.100923591934470578733781989666
y[1] (numeric) = 4.1009235919344705787338298036695
absolute error = 4.78140035e-23
relative error = 1.1659325619730792794594293308165e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1318
y[1] (analytic) = 4.1012336997987988189834373876302
y[1] (numeric) = 4.1012336997987988189834853572632
absolute error = 4.79696330e-23
relative error = 1.1696391015794424903416099095817e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1319
y[1] (analytic) = 4.1015438386754640830646951490333
y[1] (numeric) = 4.1015438386754640830647432743265
absolute error = 4.81252932e-23
relative error = 1.1733458203275327375288364666453e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.132
y[1] (analytic) = 4.1018540085675677597467924053276
y[1] (numeric) = 4.1018540085675677597468406863116
absolute error = 4.82809840e-23
relative error = 1.1770527156538290007011088205415e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1321
y[1] (analytic) = 4.1021642094782115479533506724358
y[1] (numeric) = 4.1021642094782115479533991091413
absolute error = 4.84367055e-23
relative error = 1.1807597898710414674003841638302e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1322
y[1] (analytic) = 4.1024744414104974567933928400131
y[1] (numeric) = 4.1024744414104974567934414324707
absolute error = 4.85924576e-23
relative error = 1.1844670404160549143695719631657e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1323
y[1] (analytic) = 4.1027847043675278055923632625631
y[1] (numeric) = 4.1027847043675278055924120108035
absolute error = 4.87482404e-23
relative error = 1.1881744696012478953920228007262e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1324
y[1] (analytic) = 4.1030949983524052239231509527183
y[1] (numeric) = 4.1030949983524052239231998567722
absolute error = 4.89040539e-23
relative error = 1.1918820773010955593913638911219e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1325
y[1] (analytic) = 4.1034053233682326516371158769948
y[1] (numeric) = 4.1034053233682326516371649368929
absolute error = 4.90598981e-23
relative error = 1.1955898633900916188711122924354e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1326
y[1] (analytic) = 4.1037156794181133388951183543316
y[1] (numeric) = 4.1037156794181133388951675701046
absolute error = 4.92157730e-23
relative error = 1.1992978277427483496262989969002e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1327
y[1] (analytic) = 4.1040260665051508461985515577253
y[1] (numeric) = 4.1040260665051508461986009294039
absolute error = 4.93716786e-23
relative error = 1.2030059702335965904546448256809e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1328
y[1] (analytic) = 4.1043364846324490444203771192698
y[1] (numeric) = 4.1043364846324490444204266468846
absolute error = 4.95276148e-23
relative error = 1.2067142883007383323193885048273e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1329
y[1] (analytic) = 4.1046469338031121148361638389115
y[1] (numeric) = 4.1046469338031121148362135224933
absolute error = 4.96835818e-23
relative error = 1.2104227866918206375081783671833e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.133
y[1] (analytic) = 4.1049574140202445491551294972316
y[1] (numeric) = 4.104957414020244549155179336811
absolute error = 4.98395794e-23
relative error = 1.2141314604087194693535416335136e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1331
y[1] (analytic) = 4.1052679252869511495511857725632
y[1] (numeric) = 4.1052679252869511495512357681709
absolute error = 4.99956077e-23
relative error = 1.2178403117624872979684949068586e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1332
y[1] (analytic) = 4.105578467606337028693986262757
y[1] (numeric) = 4.1055784676063370286940364144237
absolute error = 5.01516667e-23
relative error = 1.2215493406277477444692261721689e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1333
y[1] (analytic) = 4.1058890409815076097799776119033
y[1] (numeric) = 4.1058890409815076097800279196599
absolute error = 5.03077566e-23
relative error = 1.2252585517501952287315559985533e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1334
memory used=34.3MB, alloc=4.1MB, time=1.59
y[1] (analytic) = 4.1061996454155686265634537423229
y[1] (numeric) = 4.1061996454155686265635042061999
absolute error = 5.04638770e-23
relative error = 1.2289679352620175590738087043670e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1335
y[1] (analytic) = 4.106510280911626123387613192135
y[1] (numeric) = 4.1065102809116261233876638121632
absolute error = 5.06200282e-23
relative error = 1.2326774983444724241131298532921e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1336
y[1] (analytic) = 4.106820947472786455215619558716
y[1] (numeric) = 4.1068209474727864552156703349261
absolute error = 5.07762101e-23
relative error = 1.2363872384367315978496368216056e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1337
y[1] (analytic) = 4.1071316451021562876616650483565
y[1] (numeric) = 4.1071316451021562876617159807793
absolute error = 5.09324228e-23
relative error = 1.2400971578483007885213369478618e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1338
y[1] (analytic) = 4.1074423738028425970220371324292
y[1] (numeric) = 4.1074423738028425970220882210954
absolute error = 5.10886662e-23
relative error = 1.2438072540187573689396547991531e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1339
y[1] (analytic) = 4.1077531335779526703061883103778
y[1] (numeric) = 4.1077531335779526703062395553181
absolute error = 5.12449403e-23
relative error = 1.2475175268228549395933134541011e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.134
y[1] (analytic) = 4.1080639244305941052678089798371
y[1] (numeric) = 4.1080639244305941052678603810823
absolute error = 5.14012452e-23
relative error = 1.2512279785696023672882293737081e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1341
y[1] (analytic) = 4.1083747463638748104359034141964
y[1] (numeric) = 4.1083747463638748104359549717772
absolute error = 5.15575808e-23
relative error = 1.2549386066991853358010679353722e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1342
y[1] (analytic) = 4.1086855993809030051458688479146
y[1] (numeric) = 4.1086855993809030051459205618619
absolute error = 5.17139473e-23
relative error = 1.2586494159541499283839390237618e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1343
y[1] (analytic) = 4.108996483484787219570577669901
y[1] (numeric) = 4.1089964834847872195706295402454
absolute error = 5.18703444e-23
relative error = 1.2623603989071664075497797166477e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1344
y[1] (analytic) = 4.1093073986786362947514627252692
y[1] (numeric) = 4.1093073986786362947515147520415
absolute error = 5.20267723e-23
relative error = 1.2660715603006338751947937665572e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1345
y[1] (analytic) = 4.1096183449655593826296057257776
y[1] (numeric) = 4.1096183449655593826296579090086
absolute error = 5.21832310e-23
relative error = 1.2697829000088649611580111170641e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1346
y[1] (analytic) = 4.1099293223486659460768287692662
y[1] (numeric) = 4.1099293223486659460768811089866
absolute error = 5.23397204e-23
relative error = 1.2734944154730590437159658344122e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1347
y[1] (analytic) = 4.1102403308310657589267889684006
y[1] (numeric) = 4.1102403308310657589268414646413
absolute error = 5.24962407e-23
relative error = 1.2772061114340138192588748950026e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1348
y[1] (analytic) = 4.1105513704158689060060761890348
y[1] (numeric) = 4.1105513704158689060061288418264
absolute error = 5.26527916e-23
relative error = 1.2809179804672544551558713207672e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1349
y[1] (analytic) = 4.1108624411061857831653138985023
y[1] (numeric) = 4.1108624411061857831653667078757
absolute error = 5.28093734e-23
relative error = 1.2846300297460112833324892328602e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.135
y[1] (analytic) = 4.1111735429051270973102631241492
y[1] (numeric) = 4.1111735429051270973103160901351
absolute error = 5.29659859e-23
relative error = 1.2883422542793467206648932999195e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1351
y[1] (analytic) = 4.1114846758158038664329295224168
y[1] (numeric) = 4.1114846758158038664329826450462
absolute error = 5.31226294e-23
relative error = 1.2920546612388715304450550210452e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1352
y[1] (analytic) = 4.1117958398413274196426735587885
y[1] (numeric) = 4.1117958398413274196427268380921
absolute error = 5.32793036e-23
relative error = 1.2957672432018421255130545704476e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1353
y[1] (analytic) = 4.1121070349848093971973237989086
y[1] (numeric) = 4.1121070349848093971973772349171
absolute error = 5.34360085e-23
relative error = 1.2994800000432721918510759291248e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1354
y[1] (analytic) = 4.1124182612493617505342933111867
y[1] (numeric) = 4.112418261249361750534346903931
absolute error = 5.35927443e-23
relative error = 1.3031929365015125167663622267953e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1355
y[1] (analytic) = 4.112729518638096742301699181198
y[1] (numeric) = 4.1127295186380967423017529307089
absolute error = 5.37495109e-23
relative error = 1.3069060500190344652245794941093e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1356
y[1] (analytic) = 4.1130408071541269463894851381902
y[1] (numeric) = 4.1130408071541269463895390444986
absolute error = 5.39063084e-23
relative error = 1.3106193429016465974487900760765e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1357
y[1] (analytic) = 4.1133521268005652479605472940091
y[1] (numeric) = 4.1133521268005652479606013571457
absolute error = 5.40631366e-23
relative error = 1.3143328101611184133110322739784e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1358
y[1] (analytic) = 4.113663477580524843481862994753
y[1] (numeric) = 4.1136634775805248434819172147487
absolute error = 5.42199957e-23
relative error = 1.3180464565344029202704131667701e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1359
y[1] (analytic) = 4.1139748594971192407556227854689
y[1] (numeric) = 4.1139748594971192407556771623546
absolute error = 5.43768857e-23
relative error = 1.3217602818955213095538172080168e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.136
y[1] (analytic) = 4.1142862725534622589503654882003
y[1] (numeric) = 4.1142862725534622589504200220068
absolute error = 5.45338065e-23
relative error = 1.3254742836879582133193489811524e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1361
y[1] (analytic) = 4.1145977167526680286321163936984
y[1] (numeric) = 4.1145977167526680286321710844565
absolute error = 5.46907581e-23
relative error = 1.3291884617863240802874961495048e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1362
y[1] (analytic) = 4.1149091920978509917955285671082
y[1] (numeric) = 4.1149091920978509917955834148487
absolute error = 5.48477405e-23
relative error = 1.3329028160652479685342622497073e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1363
y[1] (analytic) = 4.1152206985921259018950272679412
y[1] (numeric) = 4.115220698592125901895082272695
absolute error = 5.50047538e-23
relative error = 1.3366173488293808748810542117329e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1364
y[1] (analytic) = 4.1155322362386078238759574846456
y[1] (numeric) = 4.1155322362386078238760126464436
absolute error = 5.51617980e-23
relative error = 1.3403320599528372358747025799383e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1365
y[1] (analytic) = 4.1158438050404121342057345840856
y[1] (numeric) = 4.1158438050404121342057899029586
absolute error = 5.53188730e-23
relative error = 1.3440469468801147069777768165132e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1366
y[1] (analytic) = 4.1161554050006545209049980762415
y[1] (numeric) = 4.1161554050006545209050535522203
absolute error = 5.54759788e-23
relative error = 1.3477620094859168373867140839634e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1367
y[1] (analytic) = 4.1164670361224509835787684944421
y[1] (numeric) = 4.1164670361224509835788241275577
absolute error = 5.56331156e-23
relative error = 1.3514772525035009854374100807660e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1368
y[1] (analytic) = 4.1167786984089178334476073914411
y[1] (numeric) = 4.1167786984089178334476631817242
absolute error = 5.57902831e-23
relative error = 1.3551926685192533878791036560583e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1369
y[1] (analytic) = 4.1170903918631716933787804516481
y[1] (numeric) = 4.1170903918631716933788363991297
absolute error = 5.59474816e-23
relative error = 1.3589082646951845493296184318238e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.137
y[1] (analytic) = 4.1174021164883294979174237198279
y[1] (numeric) = 4.1174021164883294979174798245389
absolute error = 5.61047110e-23
relative error = 1.3626240384762532354614156410893e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1371
y[1] (analytic) = 4.1177138722875084933177129465776
y[1] (numeric) = 4.1177138722875084933177692085488
absolute error = 5.62619712e-23
relative error = 1.3663399873081724530492788713235e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1372
y[1] (analytic) = 4.1180256592638262375740360508939
y[1] (numeric) = 4.1180256592638262375740924701563
absolute error = 5.64192624e-23
relative error = 1.3700561159224538114202366180156e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
memory used=38.1MB, alloc=4.1MB, time=1.79
x[1] = 1.1373
y[1] (analytic) = 4.1183374774204006004521687001436
y[1] (numeric) = 4.1183374774204006004522252767281
absolute error = 5.65765845e-23
relative error = 1.3737724217646637628880032176735e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1374
y[1] (analytic) = 4.1186493267603497635204530077471
y[1] (numeric) = 4.1186493267603497635205097416845
absolute error = 5.67339374e-23
relative error = 1.3774889022811228864738021669498e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1375
y[1] (analytic) = 4.1189612072867922201809793488876
y[1] (numeric) = 4.1189612072867922201810362402089
absolute error = 5.68913213e-23
relative error = 1.3812055622022955824088891152059e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1376
y[1] (analytic) = 4.1192731190028467757007712945583
y[1] (numeric) = 4.1192731190028467757008283432944
absolute error = 5.70487361e-23
relative error = 1.3849223989743559017862602461698e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1377
y[1] (analytic) = 4.1195850619116325472429736642583
y[1] (numeric) = 4.1195850619116325472430308704402
absolute error = 5.72061819e-23
relative error = 1.3886394148990897879638539211717e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1378
y[1] (analytic) = 4.1198970360162689638980436976506
y[1] (numeric) = 4.1198970360162689638981010613091
absolute error = 5.73636585e-23
relative error = 1.3923566049958312115109179958805e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1379
y[1] (analytic) = 4.120209041319875766714945345492
y[1] (numeric) = 4.120209041319875766715002866658
absolute error = 5.75211660e-23
relative error = 1.3960739715665872614045261719085e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.138
y[1] (analytic) = 4.120521077825573008732346680149
y[1] (numeric) = 4.1205210778255730087324043588535
absolute error = 5.76787045e-23
relative error = 1.3997915169126484499194346132068e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1381
y[1] (analytic) = 4.1208331455364810550098204260107
y[1] (numeric) = 4.1208331455364810550098782622846
absolute error = 5.78362739e-23
relative error = 1.4035092384812013258604226879958e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1382
y[1] (analytic) = 4.1211452444557205826590476101102
y[1] (numeric) = 4.1211452444557205826591056039845
absolute error = 5.79938743e-23
relative error = 1.4072271385732061882349405843296e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1383
y[1] (analytic) = 4.1214573745864125808750243332678
y[1] (numeric) = 4.1214573745864125808750824847733
absolute error = 5.81515055e-23
relative error = 1.4109452122099283360524007276192e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1384
y[1] (analytic) = 4.1217695359316783509672716620664
y[1] (numeric) = 4.1217695359316783509673299712341
absolute error = 5.83091677e-23
relative error = 1.4146634641186916037934783081500e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1385
y[1] (analytic) = 4.1220817284946395063910486419733
y[1] (numeric) = 4.1220817284946395063911071088342
absolute error = 5.84668609e-23
relative error = 1.4183818941734510606947489362120e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1386
y[1] (analytic) = 4.1223939522784179727785684319185
y[1] (numeric) = 4.1223939522784179727786270565035
absolute error = 5.86245850e-23
relative error = 1.4221004998224055374686463090171e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1387
y[1] (analytic) = 4.1227062072861359879702175606428
y[1] (numeric) = 4.1227062072861359879702763429829
absolute error = 5.87823401e-23
relative error = 1.4258192833656899458727718936818e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1388
y[1] (analytic) = 4.1230184935209161020457783051279
y[1] (numeric) = 4.1230184935209161020458372452541
absolute error = 5.89401262e-23
relative error = 1.4295382446773154722925781304256e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1389
y[1] (analytic) = 4.1233308109858811773556541914202
y[1] (numeric) = 4.1233308109858811773557132893634
absolute error = 5.90979432e-23
relative error = 1.4332573812060882220514487580171e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.139
y[1] (analytic) = 4.1236431596841543885520986181606
y[1] (numeric) = 4.1236431596841543885521578739518
absolute error = 5.92557912e-23
relative error = 1.4369766952516480070375782493784e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1391
y[1] (analytic) = 4.1239555396188592226204466031334
y[1] (numeric) = 4.1239555396188592226205060168036
absolute error = 5.94136702e-23
relative error = 1.4406961866880621279835733116546e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1392
y[1] (analytic) = 4.1242679507931194789103496531455
y[1] (numeric) = 4.1242679507931194789104092247257
absolute error = 5.95715802e-23
relative error = 1.4444158553894165992400418472167e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1393
y[1] (analytic) = 4.1245803932100592691670137575489
y[1] (numeric) = 4.1245803932100592691670734870701
absolute error = 5.97295212e-23
relative error = 1.4481357012298161484629362233276e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1394
y[1] (analytic) = 4.1248928668728030175624405057191
y[1] (numeric) = 4.1248928668728030175625003932122
absolute error = 5.98874931e-23
relative error = 1.4518557216590788288053106702085e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1395
y[1] (analytic) = 4.1252053717844754607266713288005
y[1] (numeric) = 4.1252053717844754607267313742966
absolute error = 6.00454961e-23
relative error = 1.4555759214001412218264502695880e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1396
y[1] (analytic) = 4.1255179079482016477790348660338
y[1] (numeric) = 4.1255179079482016477790950695638
absolute error = 6.02035300e-23
relative error = 1.4592962954787370525475264115106e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1397
y[1] (analytic) = 4.1258304753671069403593974559745
y[1] (numeric) = 4.1258304753671069403594578175694
absolute error = 6.03615949e-23
relative error = 1.4630168461933512578215428589141e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1398
y[1] (analytic) = 4.1261430740443170126594167529178
y[1] (numeric) = 4.1261430740443170126594772726087
absolute error = 6.05196909e-23
relative error = 1.4667375758417529300350622780306e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1399
y[1] (analytic) = 4.1264557039829578514537984688417
y[1] (numeric) = 4.1264557039829578514538591466596
absolute error = 6.06778179e-23
relative error = 1.4704584818742209796126585212518e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.14
y[1] (analytic) = 4.1267683651861557561315562411795
y[1] (numeric) = 4.1267683651861557561316170771554
absolute error = 6.08359759e-23
relative error = 1.4741795641649911185551065082149e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1401
y[1] (analytic) = 4.1270810576570373387272746267363
y[1] (numeric) = 4.1270810576570373387273356209012
absolute error = 6.09941649e-23
relative error = 1.4779008225883177696511429709070e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1402
y[1] (analytic) = 4.1273937813987295239523752220608
y[1] (numeric) = 4.1273937813987295239524363744458
absolute error = 6.11523850e-23
relative error = 1.4816222594413104926408095715519e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1403
y[1] (analytic) = 4.1277065364143595492263859105857
y[1] (numeric) = 4.1277065364143595492264472212218
absolute error = 6.13106361e-23
relative error = 1.4853438721750575493624114996343e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1404
y[1] (analytic) = 4.1280193227070549647082132368489
y[1] (numeric) = 4.1280193227070549647082747057671
absolute error = 6.14689182e-23
relative error = 1.4890656606638695214545062897329e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1405
y[1] (analytic) = 4.1283321402799436333274179081086
y[1] (numeric) = 4.12833214027994363332747953534
absolute error = 6.16272314e-23
relative error = 1.4927876272043614222992716927681e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1406
y[1] (analytic) = 4.1286449891361537308154934236651
y[1] (numeric) = 4.1286449891361537308155552092408
absolute error = 6.17855757e-23
relative error = 1.4965097716703306047768405695147e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1407
y[1] (analytic) = 4.1289578692788137457371478322019
y[1] (numeric) = 4.1289578692788137457372097761529
absolute error = 6.19439510e-23
relative error = 1.5002320915136745540597321228836e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1408
y[1] (analytic) = 4.1292707807110524795215886174585
y[1] (numeric) = 4.1292707807110524795216507198158
absolute error = 6.21023573e-23
relative error = 1.5039545866087787447312820877411e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1409
y[1] (analytic) = 4.1295837234359990464938107125488
y[1] (numeric) = 4.1295837234359990464938729733436
absolute error = 6.22607948e-23
relative error = 1.5076772616731505243513153068208e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.141
y[1] (analytic) = 4.1298966974567828739058876432372
y[1] (numeric) = 4.1298966974567828739059500625005
absolute error = 6.24192633e-23
relative error = 1.5114001117373755737161775983153e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1411
y[1] (analytic) = 4.1302097027765337019682658004851
y[1] (numeric) = 4.130209702776533701968328378248
absolute error = 6.25777629e-23
relative error = 1.5151231390970801171826709972702e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
memory used=41.9MB, alloc=4.1MB, time=1.97
x[1] = 1.1412
y[1] (analytic) = 4.1305227393983815838810618425819
y[1] (numeric) = 4.1305227393983815838811245788754
absolute error = 6.27362935e-23
relative error = 1.5188463412051729631983336991263e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1413
y[1] (analytic) = 4.1308358073254568858653632271716
y[1] (numeric) = 4.1308358073254568858654261220269
absolute error = 6.28948553e-23
relative error = 1.5225697227777683973948999181888e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1414
y[1] (analytic) = 4.1311489065608902871945318734906
y[1] (numeric) = 4.1311489065608902871945949269387
absolute error = 6.30534481e-23
relative error = 1.5262932788469951425383031628693e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1415
y[1] (analytic) = 4.1314620371078127802255109551266
y[1] (numeric) = 4.1314620371078127802255741671986
absolute error = 6.32120720e-23
relative error = 1.5300170117078204226460502594287e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1416
y[1] (analytic) = 4.1317751989693556704301348236147
y[1] (numeric) = 4.1317751989693556704301981943417
absolute error = 6.33707270e-23
relative error = 1.5337409212342291476795057708732e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1417
y[1] (analytic) = 4.1320883921486505764264420631814
y[1] (numeric) = 4.1320883921486505764265055925946
absolute error = 6.35294132e-23
relative error = 1.5374650097203087469842273294353e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1418
y[1] (analytic) = 4.1324016166488294300099916769516
y[1] (numeric) = 4.132401616648829430010055365082
absolute error = 6.36881304e-23
relative error = 1.5411892721997307056955557087220e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1419
y[1] (analytic) = 4.1327148724730244761851824049297
y[1] (numeric) = 4.1327148724730244761852462518084
absolute error = 6.38468787e-23
relative error = 1.5449137109668034221739122004992e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.142
y[1] (analytic) = 4.1330281596243682731965751740702
y[1] (numeric) = 4.1330281596243682731966391797283
absolute error = 6.40056581e-23
relative error = 1.5486383258955868543005824241165e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1421
y[1] (analytic) = 4.133341478105993692560218680749
y[1] (numeric) = 4.1333414781059936925602828452177
absolute error = 6.41644687e-23
relative error = 1.5523631192795097924868973427745e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1422
y[1] (analytic) = 4.1336548279210339190949781059503
y[1] (numeric) = 4.1336548279210339190950424292607
absolute error = 6.43233104e-23
relative error = 1.5560880885729528498255134595878e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1423
y[1] (analytic) = 4.1339682090726224509538669634813
y[1] (numeric) = 4.1339682090726224509539314456645
absolute error = 6.44821832e-23
relative error = 1.5598132336500322951424172162442e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1424
y[1] (analytic) = 4.1342816215638930996553820815283
y[1] (numeric) = 4.1342816215638930996554467226154
absolute error = 6.46410871e-23
relative error = 1.5635385543848831574643262661429e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1425
y[1] (analytic) = 4.1345950653979799901148417178679
y[1] (numeric) = 4.1345950653979799901149065178901
absolute error = 6.48000222e-23
relative error = 1.5672640530702757629426389513575e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1426
y[1] (analytic) = 4.1349085405780175606757268090463
y[1] (numeric) = 4.1349085405780175606757917680347
absolute error = 6.49589884e-23
relative error = 1.5709897271613994030589954271344e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1427
y[1] (analytic) = 4.1352220471071405631410253538402
y[1] (numeric) = 4.1352220471071405631410904718259
absolute error = 6.51179857e-23
relative error = 1.5747155765324454138903388829826e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1428
y[1] (analytic) = 4.1355355849884840628045799313127
y[1] (numeric) = 4.135535584988484062804645208327
absolute error = 6.52770143e-23
relative error = 1.5784416058937568625467674460272e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1429
y[1] (analytic) = 4.1358491542251834384824383537783
y[1] (numeric) = 4.1358491542251834384825037898522
absolute error = 6.54360739e-23
relative error = 1.5821678078648131499935211377464e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.143
y[1] (analytic) = 4.1361627548203743825442074549888
y[1] (numeric) = 4.1361627548203743825442730501535
absolute error = 6.55951647e-23
relative error = 1.5858941871558115760334520195067e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1431
y[1] (analytic) = 4.1364763867771929009444100138561
y[1] (numeric) = 4.1364763867771929009444757681428
absolute error = 6.57542867e-23
relative error = 1.5896207436404686012025148551023e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1432
y[1] (analytic) = 4.1367900500987753132538448140232
y[1] (numeric) = 4.136790050098775313253910727463
absolute error = 6.59134398e-23
relative error = 1.5933474747751862833978868172958e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1433
y[1] (analytic) = 4.1371037447882582526909498395985
y[1] (numeric) = 4.1371037447882582526910159122226
absolute error = 6.60726241e-23
relative error = 1.5970743828514185158311717155557e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1434
y[1] (analytic) = 4.1374174708487786661531686073662
y[1] (numeric) = 4.1374174708487786661532348392059
absolute error = 6.62318397e-23
relative error = 1.6008014701599048121633335335124e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1435
y[1] (analytic) = 4.1377312282834738142483196357872
y[1] (numeric) = 4.1377312282834738142483860268736
absolute error = 6.63910864e-23
relative error = 1.6045287317403203068419678792056e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1436
y[1] (analytic) = 4.138045017095481271325969051103
y[1] (numeric) = 4.1380450170954812713260356014672
absolute error = 6.65503642e-23
relative error = 1.6082561674670253246576553216296e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1437
y[1] (analytic) = 4.1383588372879389255088063308576
y[1] (numeric) = 4.1383588372879389255088730405308
absolute error = 6.67096732e-23
relative error = 1.6119837796308157901183662996608e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1438
y[1] (analytic) = 4.1386726888639849787240231851507
y[1] (numeric) = 4.1386726888639849787240900541642
absolute error = 6.68690135e-23
relative error = 1.6157115705217733983602685722517e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1439
y[1] (analytic) = 4.1389865718267579467346955759358
y[1] (numeric) = 4.1389865718267579467347626043208
absolute error = 6.70283850e-23
relative error = 1.6194395375971649880076847041608e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.144
y[1] (analytic) = 4.1393004861793966591711688746769
y[1] (numeric) = 4.1393004861793966591712360624646
absolute error = 6.71877877e-23
relative error = 1.6231676807308763089402508109461e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1441
y[1] (analytic) = 4.1396144319250402595624461586782
y[1] (numeric) = 4.1396144319250402595625135058999
absolute error = 6.73472217e-23
relative error = 1.6268960022124958380773039850037e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1442
y[1] (analytic) = 4.1399284090668282053675796464006
y[1] (numeric) = 4.1399284090668282053676471530873
absolute error = 6.75066867e-23
relative error = 1.6306244946688952010312073223147e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1443
y[1] (analytic) = 4.1402424176079002680070652720776
y[1] (numeric) = 4.1402424176079002680071329382607
absolute error = 6.76661831e-23
relative error = 1.6343531676363858361426098528513e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1444
y[1] (analytic) = 4.1405564575513965328942403999474
y[1] (numeric) = 4.140556457551396532894308225658
absolute error = 6.78257106e-23
relative error = 1.6380820137424266153475637798596e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1445
y[1] (analytic) = 4.1408705289004573994666846784116
y[1] (numeric) = 4.140870528900457399466752663681
absolute error = 6.79852694e-23
relative error = 1.6418110376914491885761898042557e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1446
y[1] (analytic) = 4.1411846316582235812176240344378
y[1] (numeric) = 4.1411846316582235812176921792972
absolute error = 6.81448594e-23
relative error = 1.6455402369421346894306704263787e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1447
y[1] (analytic) = 4.1414987658278361057273378085176
y[1] (numeric) = 4.1414987658278361057274061129983
absolute error = 6.83044807e-23
relative error = 1.6492696137830853767335072814633e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1448
y[1] (analytic) = 4.1418129314124363146945690304959
y[1] (numeric) = 4.141812931412436314694637494629
absolute error = 6.84641331e-23
relative error = 1.6529991632589847445508055173774e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1449
y[1] (analytic) = 4.142127128415165863967937836584
y[1] (numeric) = 4.1421271284151658639680064604009
absolute error = 6.86238169e-23
relative error = 1.6567288924870928582445843504651e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.145
y[1] (analytic) = 4.1424413568391667235773580278727
y[1] (numeric) = 4.1424413568391667235774268114046
absolute error = 6.87835319e-23
relative error = 1.6604587965123140374749479939064e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
memory used=45.7MB, alloc=4.1MB, time=2.15
x[1] = 1.1451
y[1] (analytic) = 4.142755616687581177765456770657
y[1] (numeric) = 4.1427556166875811777655257139352
absolute error = 6.89432782e-23
relative error = 1.6641888776225932829681266201622e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1452
y[1] (analytic) = 4.143069907963551825018997438889
y[1] (numeric) = 4.1430699079635518250190665419447
absolute error = 6.91030557e-23
relative error = 1.6679191332778236597459490052523e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1453
y[1] (analytic) = 4.1433842306702215781003055990713
y[1] (numeric) = 4.1433842306702215781003748619358
absolute error = 6.92628645e-23
relative error = 1.6716495657656215943076740690739e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1454
y[1] (analytic) = 4.1436985848107336640786981379067
y[1] (numeric) = 4.1436985848107336640787675606113
absolute error = 6.94227046e-23
relative error = 1.6753801749595869958745541041150e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1455
y[1] (analytic) = 4.1440129703882316243619155330178
y[1] (numeric) = 4.1440129703882316243619851155937
absolute error = 6.95825759e-23
relative error = 1.6791109583202187770101136567364e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1456
y[1] (analytic) = 4.14432738740585931472755726705
y[1] (numeric) = 4.1443273874058593147276270095285
absolute error = 6.97424785e-23
relative error = 1.6828419181346405856017539440245e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1457
y[1] (analytic) = 4.1446418358667609053545203854741
y[1] (numeric) = 4.1446418358667609053545902878866
absolute error = 6.99024125e-23
relative error = 1.6865730566892626104174509221070e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1458
y[1] (analytic) = 4.1449563157740808808544411984016
y[1] (numeric) = 4.1449563157740808808545112607793
absolute error = 7.00623777e-23
relative error = 1.6903043690320696914528386421075e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1459
y[1] (analytic) = 4.1452708271309640403031401267269
y[1] (numeric) = 4.145270827130964040303210349101
absolute error = 7.02223741e-23
relative error = 1.6940358550373051946325652987840e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.146
y[1] (analytic) = 4.1455853699405554972720696929117
y[1] (numeric) = 4.1455853699405554972721400753137
absolute error = 7.03824020e-23
relative error = 1.6977675218158450192721452691734e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1461
y[1] (analytic) = 4.1458999442060006798597656567263
y[1] (numeric) = 4.1458999442060006798598361991874
absolute error = 7.05424611e-23
relative error = 1.7014993620042582423320935997956e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1462
y[1] (analytic) = 4.1462145499304453307233012962605
y[1] (numeric) = 4.146214549930445330723371998812
absolute error = 7.07025515e-23
relative error = 1.7052313778886832579682343246544e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1463
y[1] (analytic) = 4.1465291871170355071097448345209
y[1] (numeric) = 4.1465291871170355071098156971941
absolute error = 7.08626732e-23
relative error = 1.7089635693428897072490027361641e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1464
y[1] (analytic) = 4.1468438557689175808876200119278
y[1] (numeric) = 4.146843855768917580887691034754
absolute error = 7.10228262e-23
relative error = 1.7126959362406660918053230011831e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1465
y[1] (analytic) = 4.1471585558892382385783698050264
y[1] (numeric) = 4.147158555889238238578440988037
absolute error = 7.11830106e-23
relative error = 1.7164284808671093022697282925744e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1466
y[1] (analytic) = 4.1474732874811444813878232917277
y[1] (numeric) = 4.1474732874811444813878946349541
absolute error = 7.13432264e-23
relative error = 1.7201612030954966172475707392230e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1467
y[1] (analytic) = 4.1477880505477836252376656633932
y[1] (numeric) = 4.1477880505477836252377371668666
absolute error = 7.15034734e-23
relative error = 1.7238940979772770794024037846872e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1468
y[1] (analytic) = 4.1481028450923033007969113840774
y[1] (numeric) = 4.1481028450923033007969830478292
absolute error = 7.16637518e-23
relative error = 1.7276271702083448004875448858348e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1469
y[1] (analytic) = 4.1484176711178514535133804972446
y[1] (numeric) = 4.1484176711178514535134523213061
absolute error = 7.18240615e-23
relative error = 1.7313604172514760889589751736942e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.147
y[1] (analytic) = 4.1487325286275763436451780802733
y[1] (numeric) = 4.1487325286275763436452500646759
absolute error = 7.19844026e-23
relative error = 1.7350938413909473778297530916733e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1471
y[1] (analytic) = 4.1490474176246265462921768470634
y[1] (numeric) = 4.1490474176246265462922489918384
absolute error = 7.21447750e-23
relative error = 1.7388274400899386543449943343831e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1472
y[1] (analytic) = 4.1493623381121509514275028990612
y[1] (numeric) = 4.14936233811215095142757520424
absolute error = 7.23051788e-23
relative error = 1.7425612156323982380895077425058e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1473
y[1] (analytic) = 4.1496772900932987639290246250169
y[1] (numeric) = 4.1496772900932987639290970906308
absolute error = 7.24656139e-23
relative error = 1.7462951654819097558319544191887e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1474
y[1] (analytic) = 4.1499922735712195036108447497893
y[1] (numeric) = 4.1499922735712195036109173758698
absolute error = 7.26260805e-23
relative error = 1.7500292943317364907265668439523e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1475
y[1] (analytic) = 4.1503072885490630052547955325137
y[1] (numeric) = 4.1503072885490630052548683190921
absolute error = 7.27865784e-23
relative error = 1.7537635972358568377877709620892e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1476
y[1] (analytic) = 4.1506223350299794186419371144458
y[1] (numeric) = 4.1506223350299794186420100615534
absolute error = 7.29471076e-23
relative error = 1.7574980740682857693616465006724e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1477
y[1] (analytic) = 4.1509374130171192085840590167988
y[1] (numeric) = 4.150937413017119208584132124467
absolute error = 7.31076682e-23
relative error = 1.7612327271121514954963007976989e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1478
y[1] (analytic) = 4.1512525225136331549551847888877
y[1] (numeric) = 4.1512525225136331549552580571479
absolute error = 7.32682602e-23
relative error = 1.7649675562409580984036350427861e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1479
y[1] (analytic) = 4.1515676635226723527230798068954
y[1] (numeric) = 4.1515676635226723527231532357791
absolute error = 7.34288837e-23
relative error = 1.7687025637369572289551436241583e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.148
y[1] (analytic) = 4.1518828360473882119807622235773
y[1] (numeric) = 4.1518828360473882119808358131158
absolute error = 7.35895385e-23
relative error = 1.7724377446560506324541993811218e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1481
y[1] (analytic) = 4.152198040090932457978017069217
y[1] (numeric) = 4.1521980400909324579780908194416
absolute error = 7.37502246e-23
relative error = 1.7761730988723476721079291025906e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1482
y[1] (analytic) = 4.1525132756564571311529135041506
y[1] (numeric) = 4.1525132756564571311529874150929
absolute error = 7.39109423e-23
relative error = 1.7799086334845169844155287814886e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1483
y[1] (analytic) = 4.1528285427471145871633252231742
y[1] (numeric) = 4.1528285427471145871633992948655
absolute error = 7.40716913e-23
relative error = 1.7836443411410683023624310123183e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1484
y[1] (analytic) = 4.1531438413660574969184540121482
y[1] (numeric) = 4.1531438413660574969185282446199
absolute error = 7.42324717e-23
relative error = 1.7873802241239821457740908916639e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1485
y[1] (analytic) = 4.153459171516438846610356457116
y[1] (numeric) = 4.1534591715164388466104308503995
absolute error = 7.43932835e-23
relative error = 1.7911162823068949756194431488722e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1486
y[1] (analytic) = 4.1537745332014119377454738062506
y[1] (numeric) = 4.1537745332014119377455483603773
absolute error = 7.45541267e-23
relative error = 1.7948525155634621627338637503611e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1487
y[1] (analytic) = 4.1540899264241303871761649849455
y[1] (numeric) = 4.1540899264241303871762396999469
absolute error = 7.47150014e-23
relative error = 1.7985889261746241220804024189099e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1488
y[1] (analytic) = 4.1544053511877481271322427643645
y[1] (numeric) = 4.154405351187748127132317640272
absolute error = 7.48759075e-23
relative error = 1.8023255116064423634315767511134e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1489
y[1] (analytic) = 4.1547208074954194052525130837661
y[1] (numeric) = 4.1547208074954194052525881206111
absolute error = 7.50368450e-23
relative error = 1.8060622717326290135695315955566e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
memory used=49.5MB, alloc=4.1MB, time=2.34
x[1] = 1.149
y[1] (analytic) = 4.1550362953502987846163175269177
y[1] (numeric) = 4.1550362953502987846163927247317
absolute error = 7.51978140e-23
relative error = 1.8097992088336329530777312609801e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1491
y[1] (analytic) = 4.1553518147555411437750789529157
y[1] (numeric) = 4.1553518147555411437751543117301
absolute error = 7.53588144e-23
relative error = 1.8135363203761207917364990830674e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1492
y[1] (analytic) = 4.1556673657143016767838502817255
y[1] (numeric) = 4.1556673657143016767839258015718
absolute error = 7.55198463e-23
relative error = 1.8172736086402137756695203608858e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1493
y[1] (analytic) = 4.1559829482297358932328664347587
y[1] (numeric) = 4.1559829482297358932329421156684
absolute error = 7.56809097e-23
relative error = 1.8210110734991515163557238530099e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1494
y[1] (analytic) = 4.1562985623049996182790994308017
y[1] (numeric) = 4.1562985623049996182791752728062
absolute error = 7.58420045e-23
relative error = 1.8247487124202056635739247189663e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1495
y[1] (analytic) = 4.1566142079432489926778166376114
y[1] (numeric) = 4.1566142079432489926778926407422
absolute error = 7.60031308e-23
relative error = 1.8284865276830060944450902262369e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1496
y[1] (analytic) = 4.1569298851476404728141421794948
y[1] (numeric) = 4.1569298851476404728142183437833
absolute error = 7.61642885e-23
relative error = 1.8322245167552277601248487268225e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1497
y[1] (analytic) = 4.1572455939213308307346215011859
y[1] (numeric) = 4.1572455939213308307346978266636
absolute error = 7.63254777e-23
relative error = 1.8359626819161729945629432249386e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1498
y[1] (analytic) = 4.1575613342674771541787890883378
y[1] (numeric) = 4.1575613342674771541788655750361
absolute error = 7.64866983e-23
relative error = 1.8397010206339200109707931325755e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1499
y[1] (analytic) = 4.1578771061892368466107393449442
y[1] (numeric) = 4.1578771061892368466108159928946
absolute error = 7.66479504e-23
relative error = 1.8434395351874436366382496667363e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.15
y[1] (analytic) = 4.1581929096897676272507006280068
y[1] (numeric) = 4.1581929096897676272507774372409
absolute error = 7.68092341e-23
relative error = 1.8471782278550069685242921473821e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1501
y[1] (analytic) = 4.1585087447722275311066124397639
y[1] (numeric) = 4.1585087447722275311066894103132
absolute error = 7.69705493e-23
relative error = 1.8509170961047451053747290575556e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1502
y[1] (analytic) = 4.158824611439774909005705777796
y[1] (numeric) = 4.1588246114397749090057829096919
absolute error = 7.71318959e-23
relative error = 1.8546561374055427234114739389062e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1503
y[1] (analytic) = 4.1591405096955684276260866433245
y[1] (numeric) = 4.1591405096955684276261639365985
absolute error = 7.72932740e-23
relative error = 1.8583953540357198030132118735850e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1504
y[1] (analytic) = 4.159456439542767069528322708019
y[1] (numeric) = 4.1594564395427670695284001627026
absolute error = 7.74546836e-23
relative error = 1.8621347458687244544834538408873e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1505
y[1] (analytic) = 4.1597724009845301331870331396293
y[1] (numeric) = 4.1597724009845301331871107557541
absolute error = 7.76161248e-23
relative error = 1.8658743151820014268000816306066e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1506
y[1] (analytic) = 4.1600883940240172330224815867583
y[1] (numeric) = 4.1600883940240172330225593643557
absolute error = 7.77775974e-23
relative error = 1.8696140570408987909428401324928e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1507
y[1] (analytic) = 4.1604044186643882994321723230902
y[1] (numeric) = 4.1604044186643882994322502621918
absolute error = 7.79391016e-23
relative error = 1.8733539761266943106026398846721e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1508
y[1] (analytic) = 4.1607204749088035788224495513926
y[1] (numeric) = 4.1607204749088035788225276520299
absolute error = 7.81006373e-23
relative error = 1.8770940699089342841252265322695e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1509
y[1] (analytic) = 4.161036562760423633640099867606
y[1] (numeric) = 4.1610365627604236336401781298105
absolute error = 7.82622045e-23
relative error = 1.8808343382611616471118079895865e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.151
y[1] (analytic) = 4.1613526822224093424039578853379
y[1] (numeric) = 4.1613526822224093424040363091412
absolute error = 7.84238033e-23
relative error = 1.8845747834600030571740853452729e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1511
y[1] (analytic) = 4.1616688332979218997365150210777
y[1] (numeric) = 4.1616688332979218997365936065113
absolute error = 7.85854336e-23
relative error = 1.8883154029756094933956950702476e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1512
y[1] (analytic) = 4.1619850159901228163955314404477
y[1] (numeric) = 4.1619850159901228163956101875432
absolute error = 7.87470955e-23
relative error = 1.8920561990842804577911359678373e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1513
y[1] (analytic) = 4.1623012303021739193056511658074
y[1] (numeric) = 4.1623012303021739193057300745963
absolute error = 7.89087889e-23
relative error = 1.8957971692565700102289769423040e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1514
y[1] (analytic) = 4.1626174762372373515900203455258
y[1] (numeric) = 4.1626174762372373515900994160397
absolute error = 7.90705139e-23
relative error = 1.8995383157684505336284532075554e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1515
y[1] (analytic) = 4.1629337537984755726019086852398
y[1] (numeric) = 4.1629337537984755726019879175102
absolute error = 7.92322704e-23
relative error = 1.9032796360908791292866828620553e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1516
y[1] (analytic) = 4.1632500629890513579563340414128
y[1] (numeric) = 4.1632500629890513579564134354713
absolute error = 7.93940585e-23
relative error = 1.9070211324995010975273823009108e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1517
y[1] (analytic) = 4.1635664038121277995616901775114
y[1] (numeric) = 4.1635664038121277995617697333895
absolute error = 7.95558781e-23
relative error = 1.9107628024656765417148606094735e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1518
y[1] (analytic) = 4.1638827762708683056513776831156
y[1] (numeric) = 4.1638827762708683056514574008449
absolute error = 7.97177293e-23
relative error = 1.9145046482647237160748656709141e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1519
y[1] (analytic) = 4.1641991803684366008154380562794
y[1] (numeric) = 4.1641991803684366008155179358915
absolute error = 7.98796121e-23
relative error = 1.9182466697698278009517475882530e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.152
y[1] (analytic) = 4.1645156161079967260321909494573
y[1] (numeric) = 4.1645156161079967260322709909838
absolute error = 8.00415265e-23
relative error = 1.9219888668541929883135360997094e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1521
y[1] (analytic) = 4.1648320834927130386998745793141
y[1] (numeric) = 4.1648320834927130386999547827865
absolute error = 8.02034724e-23
relative error = 1.9257312369899852960058452445102e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1522
y[1] (analytic) = 4.1651485825257502126682893007335
y[1] (numeric) = 4.1651485825257502126683696661834
absolute error = 8.03654499e-23
relative error = 1.9294737824518690239939299471503e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1523
y[1] (analytic) = 4.1654651132102732382704443453424
y[1] (numeric) = 4.1654651132102732382705248728014
absolute error = 8.05274590e-23
relative error = 1.9332165031131053685078703436350e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1524
y[1] (analytic) = 4.1657816755494474223542077248676
y[1] (numeric) = 4.1657816755494474223542884143674
absolute error = 8.06894998e-23
relative error = 1.9369594012474843991385650641980e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1525
y[1] (analytic) = 4.1660982695464383883139592996408
y[1] (numeric) = 4.166098269546438388314040151213
absolute error = 8.08515722e-23
relative error = 1.9407024743274306254084199652418e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1526
y[1] (analytic) = 4.1664148952044120761222470125687
y[1] (numeric) = 4.1664148952044120761223280262448
absolute error = 8.10136761e-23
relative error = 1.9444457198261172723422030510455e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1527
y[1] (analytic) = 4.1667315525265347423614462888847
y[1] (numeric) = 4.1667315525265347423615274646964
absolute error = 8.11758117e-23
relative error = 1.9481891424173540642404004542624e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1528
y[1] (analytic) = 4.1670482415159729602554226019995
y[1] (numeric) = 4.1670482415159729602555039399783
absolute error = 8.13379788e-23
relative error = 1.9519327371743895986685939650308e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
memory used=53.4MB, alloc=4.1MB, time=2.51
x[1] = 1.1529
y[1] (analytic) = 4.1673649621758936197011972057656
y[1] (numeric) = 4.1673649621758936197012787059432
absolute error = 8.15001776e-23
relative error = 1.9556765087703420058432080279590e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.153
y[1] (analytic) = 4.1676817145094639273006160334744
y[1] (numeric) = 4.1676817145094639273006976958824
absolute error = 8.16624080e-23
relative error = 1.9594204546786429478108317548415e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1531
y[1] (analytic) = 4.1679984985198514063920217639006
y[1] (numeric) = 4.1679984985198514063921035885707
absolute error = 8.18246701e-23
relative error = 1.9631645771719388305734866545555e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1532
y[1] (analytic) = 4.1683153142102238970819290547125
y[1] (numeric) = 4.1683153142102238970820110416763
absolute error = 8.19869638e-23
relative error = 1.9669088737240641367086125744501e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1533
y[1] (analytic) = 4.1686321615837495562767029435631
y[1] (numeric) = 4.1686321615837495562767850928522
absolute error = 8.21492891e-23
relative error = 1.9706533442084702048968106988050e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1534
y[1] (analytic) = 4.1689490406435968577142404171803
y[1] (numeric) = 4.1689490406435968577143227288265
absolute error = 8.23116462e-23
relative error = 1.9743979932959995250115584978744e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1535
y[1] (analytic) = 4.1692659513929345919956551487726
y[1] (numeric) = 4.1692659513929345919957376228074
absolute error = 8.24740348e-23
relative error = 1.9781428136635362507734592568947e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1536
y[1] (analytic) = 4.1695828938349318666169654040661
y[1] (numeric) = 4.1695828938349318666170480405212
absolute error = 8.26364551e-23
relative error = 1.9818878099817786045839151398727e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1537
y[1] (analytic) = 4.1698998679727581060007851162914
y[1] (numeric) = 4.1698998679727581060008679151985
absolute error = 8.27989071e-23
relative error = 1.9856329821237070537781937380668e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1538
y[1] (analytic) = 4.1702168738095830515280181304362
y[1] (numeric) = 4.1702168738095830515281010918269
absolute error = 8.29613907e-23
relative error = 1.9893783275643643061262767858260e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1539
y[1] (analytic) = 4.1705339113485767615695556170804
y[1] (numeric) = 4.1705339113485767615696387409865
absolute error = 8.31239061e-23
relative error = 1.9931238509728648847379764597073e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.154
y[1] (analytic) = 4.1708509805929096115179766561321
y[1] (numeric) = 4.1708509805929096115180599425852
absolute error = 8.32864531e-23
relative error = 1.9968695474265150687266383918151e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1541
y[1] (analytic) = 4.1711680815457522938192519907791
y[1] (numeric) = 4.1711680815457522938193354398108
absolute error = 8.34490317e-23
relative error = 2.0006154167989183812590244575455e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1542
y[1] (analytic) = 4.1714852142102758180044509519753
y[1] (numeric) = 4.1714852142102758180045345636173
absolute error = 8.36116420e-23
relative error = 2.0043614613609250717425016313859e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1543
y[1] (analytic) = 4.171802378589651510721451553778
y[1] (numeric) = 4.171802378589651510721535328062
absolute error = 8.37742840e-23
relative error = 2.0081076809856299171550720623439e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1544
y[1] (analytic) = 4.1721195746870510157666537598528
y[1] (numeric) = 4.1721195746870510157667376968106
absolute error = 8.39369578e-23
relative error = 2.0118540779430099843478192662578e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1545
y[1] (analytic) = 4.1724368025056462941166959214644
y[1] (numeric) = 4.1724368025056462941167800211276
absolute error = 8.40996632e-23
relative error = 2.0156006473122894773727305912755e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1546
y[1] (analytic) = 4.172754062048609623960174387269
y[1] (numeric) = 4.1727540620486096239602586496693
absolute error = 8.42624003e-23
relative error = 2.0193473913636658231263026937182e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1547
y[1] (analytic) = 4.173071353319113600729366285227
y[1] (numeric) = 4.1730713533191136007294507103961
absolute error = 8.44251691e-23
relative error = 2.0230943099703100356094682117202e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1548
y[1] (analytic) = 4.173388676320331137131955476952
y[1] (numeric) = 4.1733886763203311371320400649216
absolute error = 8.45879696e-23
relative error = 2.0268414030054121871559772912210e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1549
y[1] (analytic) = 4.1737060310554354631827616848143
y[1] (numeric) = 4.1737060310554354631828464356161
absolute error = 8.47508018e-23
relative error = 2.0305886703421814080623525827465e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.155
y[1] (analytic) = 4.1740234175276001262354727921153
y[1] (numeric) = 4.1740234175276001262355577057811
absolute error = 8.49136658e-23
relative error = 2.0343361142496158663300861564259e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1551
y[1] (analytic) = 4.1743408357399989910143803166512
y[1] (numeric) = 4.1743408357399989910144653932127
absolute error = 8.50765615e-23
relative error = 2.0380837322048284767253808666212e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1552
y[1] (analytic) = 4.1746582856958062396461180579817
y[1] (numeric) = 4.1746582856958062396462032974707
absolute error = 8.52394890e-23
relative error = 2.0418315264764912090455086216247e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1553
y[1] (analytic) = 4.1749757673981963716914039187237
y[1] (numeric) = 4.1749757673981963716914893211719
absolute error = 8.54024482e-23
relative error = 2.0455794945421194985506108760227e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1554
y[1] (analytic) = 4.1752932808503442041767849001841
y[1] (numeric) = 4.1752932808503442041768704656232
absolute error = 8.55654391e-23
relative error = 2.0493276362750178167207042921621e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1555
y[1] (analytic) = 4.1756108260554248716263852726521
y[1] (numeric) = 4.1756108260554248716264710011139
absolute error = 8.57284618e-23
relative error = 2.0530759539433688901958676684323e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1556
y[1] (analytic) = 4.1759284030166138260936579206669
y[1] (numeric) = 4.1759284030166138260937438121832
absolute error = 8.58915163e-23
relative error = 2.0568244474199689185440712611135e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1557
y[1] (analytic) = 4.1762460117370868371931388635789
y[1] (numeric) = 4.1762460117370868371932249181813
absolute error = 8.60546024e-23
relative error = 2.0605731117886433061058683747759e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1558
y[1] (analytic) = 4.1765636522200199921322049517208
y[1] (numeric) = 4.1765636522200199921322911694412
absolute error = 8.62177204e-23
relative error = 2.0643219541062576627287095007304e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1559
y[1] (analytic) = 4.1768813244685896957428347385088
y[1] (numeric) = 4.1768813244685896957429211193788
absolute error = 8.63808700e-23
relative error = 2.0680709670627269310392039248373e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.156
y[1] (analytic) = 4.177199028485972670513372528788
y[1] (numeric) = 4.1771990284859726705134590728395
absolute error = 8.65440515e-23
relative error = 2.0718201577138622337945152180743e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1561
y[1] (analytic) = 4.1775167642753459566202956037429
y[1] (numeric) = 4.1775167642753459566203823110077
absolute error = 8.67072648e-23
relative error = 2.0755695235382424246351705331698e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1562
y[1] (analytic) = 4.1778345318398869119599846226884
y[1] (numeric) = 4.1778345318398869119600714931983
absolute error = 8.68705099e-23
relative error = 2.0793190644087783121476111938028e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1563
y[1] (analytic) = 4.1781523311827732121804972020602
y[1] (numeric) = 4.1781523311827732121805842358469
absolute error = 8.70337867e-23
relative error = 2.0830687778049973708073685441684e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1564
y[1] (analytic) = 4.1784701623071828507133446719215
y[1] (numeric) = 4.1784701623071828507134318690169
absolute error = 8.71970954e-23
relative error = 2.0868186683868355675296804882449e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1565
y[1] (analytic) = 4.1787880252162941388052720103053
y[1] (numeric) = 4.178788025216294138805359370741
absolute error = 8.73604357e-23
relative error = 2.0905687288475998342080718912586e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1566
y[1] (analytic) = 4.1791059199132857055500409557075
y[1] (numeric) = 4.1791059199132857055501284795154
absolute error = 8.75238079e-23
relative error = 2.0943189662399385635841131941536e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1567
y[1] (analytic) = 4.1794238464013364979202162980517
y[1] (numeric) = 4.1794238464013364979203039852636
absolute error = 8.76872119e-23
relative error = 2.0980693780436376883854148591388e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
memory used=57.2MB, alloc=4.1MB, time=2.69
x[1] = 1.1568
y[1] (analytic) = 4.179741804683625780798955348441
y[1] (numeric) = 4.1797418046836257807990431990886
absolute error = 8.78506476e-23
relative error = 2.1018199617392303612151991644465e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1569
y[1] (analytic) = 4.1800597947633331370118005880159
y[1] (numeric) = 4.1800597947633331370118886021312
absolute error = 8.80141153e-23
relative error = 2.1055707243772379620081849964101e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.157
y[1] (analytic) = 4.1803778166436384673584754962368
y[1] (numeric) = 4.1803778166436384673585636738515
absolute error = 8.81776147e-23
relative error = 2.1093216586532472978893031462556e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1571
y[1] (analytic) = 4.1806958703277219906446835589072
y[1] (numeric) = 4.1806958703277219906447719000531
absolute error = 8.83411459e-23
relative error = 2.1130727668328334025590037881476e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1572
y[1] (analytic) = 4.1810139558187642437139104562574
y[1] (numeric) = 4.1810139558187642437139989609663
absolute error = 8.85047089e-23
relative error = 2.1168240487890981360328361246789e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1573
y[1] (analytic) = 4.1813320731199460814792294314058
y[1] (numeric) = 4.1813320731199460814793180997096
absolute error = 8.86683038e-23
relative error = 2.1205755067867448176915220246848e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1574
y[1] (analytic) = 4.1816502222344486769551098395164
y[1] (numeric) = 4.181650222234448676955198671447
absolute error = 8.88319306e-23
relative error = 2.1243271406983676485133424043261e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1575
y[1] (analytic) = 4.1819684031654535212892288779698
y[1] (numeric) = 4.181968403165453521289317873559
absolute error = 8.89955892e-23
relative error = 2.1280789480053615422954775298398e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1576
y[1] (analytic) = 4.1822866159161424237942864978665
y[1] (numeric) = 4.182286615916142423794375657146
absolute error = 8.91592795e-23
relative error = 2.1318309261898683259327016145741e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1577
y[1] (analytic) = 4.1826048604896975119798234971801
y[1] (numeric) = 4.1826048604896975119799128201819
absolute error = 8.93230018e-23
relative error = 2.1355830822981949765085796978668e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1578
y[1] (analytic) = 4.1829231368893012315840427958801
y[1] (numeric) = 4.182923136889301231584132282636
absolute error = 8.94867559e-23
relative error = 2.1393354114211211706692575592458e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1579
y[1] (analytic) = 4.1832414451181363466056338933394
y[1] (numeric) = 4.1832414451181363466057235438813
absolute error = 8.96505419e-23
relative error = 2.1430879158223733421559803249850e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.158
y[1] (analytic) = 4.1835597851793859393356005083486
y[1] (numeric) = 4.1835597851793859393356903227083
absolute error = 8.98143597e-23
relative error = 2.1468405929843517184549340581085e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1581
y[1] (analytic) = 4.1838781570762334103890914020519
y[1] (numeric) = 4.1838781570762334103891813802613
absolute error = 8.99782094e-23
relative error = 2.1505934451704571776596864695128e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1582
y[1] (analytic) = 4.1841965608118624787372343841255
y[1] (numeric) = 4.1841965608118624787373245262165
absolute error = 9.01420910e-23
relative error = 2.1543464722534370930646499128480e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1583
y[1] (analytic) = 4.1845149963894571817389735025152
y[1] (numeric) = 4.1845149963894571817390638085197
absolute error = 9.03060045e-23
relative error = 2.1580996741060579970283508293356e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1584
y[1] (analytic) = 4.1848334638122018751729094170527
y[1] (numeric) = 4.1848334638122018751729998870026
absolute error = 9.04699499e-23
relative error = 2.1618530506011055805910590950649e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1585
y[1] (analytic) = 4.1851519630832812332691429572678
y[1] (numeric) = 4.1851519630832812332692335911949
absolute error = 9.06339271e-23
relative error = 2.1656065992219851950071229630662e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1586
y[1] (analytic) = 4.1854704942058802487411218647159
y[1] (numeric) = 4.1854704942058802487412126626522
absolute error = 9.07979363e-23
relative error = 2.1693603246205016866039362498141e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1587
y[1] (analytic) = 4.1857890571831842328174907201395
y[1] (numeric) = 4.1857890571831842328175816821168
absolute error = 9.09619773e-23
relative error = 2.1731142218908810479118562656312e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1588
y[1] (analytic) = 4.1861076520183788152739440557805
y[1] (numeric) = 4.1861076520183788152740351818308
absolute error = 9.11260503e-23
relative error = 2.1768682956842390683262614627876e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1589
y[1] (analytic) = 4.1864262787146499444650826531645
y[1] (numeric) = 4.1864262787146499444651739433196
absolute error = 9.12901551e-23
relative error = 2.1806225410955673879196745646388e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.159
y[1] (analytic) = 4.1867449372751838873562730266726
y[1] (numeric) = 4.1867449372751838873563644809644
absolute error = 9.14542918e-23
relative error = 2.1843769603868024350558329919465e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1591
y[1] (analytic) = 4.187063627703167229555510093222
y[1] (numeric) = 4.1870636277031672295556017116825
absolute error = 9.16184605e-23
relative error = 2.1881315558191725554094725116019e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1592
y[1] (analytic) = 4.1873823500017868753452830283725
y[1] (numeric) = 4.1873823500017868753453748110336
absolute error = 9.17826611e-23
relative error = 2.1918863248769445122121256401802e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1593
y[1] (analytic) = 4.1877011041742300477144443091779
y[1] (numeric) = 4.1877011041742300477145362560715
absolute error = 9.19468936e-23
relative error = 2.1956412674330764073584493626453e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1594
y[1] (analytic) = 4.188019890223684288390081944101
y[1] (numeric) = 4.1880198902236842883901740552591
absolute error = 9.21111581e-23
relative error = 2.1993963857483087513622509065366e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1595
y[1] (analytic) = 4.1883387081533374578693948903113
y[1] (numeric) = 4.1883387081533374578694871657658
absolute error = 9.22754545e-23
relative error = 2.2031516773075111867244364270256e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1596
y[1] (analytic) = 4.1886575579663777354515716586832
y[1] (numeric) = 4.188657557966377735451664098466
absolute error = 9.24397828e-23
relative error = 2.2069071419836993071663252556395e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1597
y[1] (analytic) = 4.1889764396659936192696721068147
y[1] (numeric) = 4.1889764396659936192697647109577
absolute error = 9.26041430e-23
relative error = 2.2106627796499078600800419116427e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1598
y[1] (analytic) = 4.1892953532553739263225124203844
y[1] (numeric) = 4.1892953532553739263226051889196
absolute error = 9.27685352e-23
relative error = 2.2144185925662270271290635088917e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1599
y[1] (analytic) = 4.1896142987377077925065532831665
y[1] (numeric) = 4.1896142987377077925066462161259
absolute error = 9.29329594e-23
relative error = 2.2181745806051847035079026150920e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.16
y[1] (analytic) = 4.1899332761161846726477912360218
y[1] (numeric) = 4.1899332761161846726478843334373
absolute error = 9.30974155e-23
relative error = 2.2219307412526551423253490807926e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1601
y[1] (analytic) = 4.1902522853939943405336532251841
y[1] (numeric) = 4.1902522853939943405337464870877
absolute error = 9.32619036e-23
relative error = 2.2256870767682409098559616925291e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1602
y[1] (analytic) = 4.1905713265743268889448943401614
y[1] (numeric) = 4.190571326574326888944987766585
absolute error = 9.34264236e-23
relative error = 2.2294435846382180399514762972001e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1603
y[1] (analytic) = 4.1908903996603727296874987415697
y[1] (numeric) = 4.1908903996603727296875923325453
absolute error = 9.35909756e-23
relative error = 2.2332002671218640580015519711832e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1604
y[1] (analytic) = 4.1912095046553225936245837792196
y[1] (numeric) = 4.1912095046553225936246775347793
absolute error = 9.37555597e-23
relative error = 2.2369571264777489524536078795042e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1605
y[1] (analytic) = 4.1915286415623675307083073007743
y[1] (numeric) = 4.1915286415623675307084012209499
absolute error = 9.39201756e-23
relative error = 2.2407141554206774924892904465279e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1606
y[1] (analytic) = 4.1918478103846989100117781512971
y[1] (numeric) = 4.1918478103846989100118722361207
absolute error = 9.40848236e-23
relative error = 2.2444713609811502946424715805303e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=61.0MB, alloc=4.1MB, time=2.88
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1607
y[1] (analytic) = 4.1921670111255084197609698640097
y[1] (numeric) = 4.1921670111255084197610641135133
absolute error = 9.42495036e-23
relative error = 2.2482287406459027553996315218153e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1608
y[1] (analytic) = 4.1924862437879880673666375425785
y[1] (numeric) = 4.192486243787988067366731956794
absolute error = 9.44142155e-23
relative error = 2.2519862919024160705177189744161e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1609
y[1] (analytic) = 4.1928055083753301794562379352481
y[1] (numeric) = 4.1928055083753301794563325142076
absolute error = 9.45789595e-23
relative error = 2.2557440193940308075920183969569e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.161
y[1] (analytic) = 4.1931248048907274019058527011435
y[1] (numeric) = 4.1931248048907274019059474448789
absolute error = 9.47437354e-23
relative error = 2.2595019182232286656211182682892e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1611
y[1] (analytic) = 4.1934441333373726998721148690566
y[1] (numeric) = 4.1934441333373726998722097776
absolute error = 9.49085434e-23
relative error = 2.2632599930326621250442271937748e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1612
y[1] (analytic) = 4.1937634937184593578241384890396
y[1] (numeric) = 4.193763493718459357824233562423
absolute error = 9.50733834e-23
relative error = 2.2670182413100708276332832027768e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1613
y[1] (analytic) = 4.1940828860371809795754514771228
y[1] (numeric) = 4.1940828860371809795755467153782
absolute error = 9.52382554e-23
relative error = 2.2707766629282515088747468347586e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1614
y[1] (analytic) = 4.194402310296731488315931653476
y[1] (numeric) = 4.1944023102967314883160270566355
absolute error = 9.54031595e-23
relative error = 2.2745352601441500176530185024478e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1615
y[1] (analytic) = 4.1947217665003051266437459743347
y[1] (numeric) = 4.1947217665003051266438415424303
absolute error = 9.55680956e-23
relative error = 2.2782940304461084527068414062503e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1616
y[1] (analytic) = 4.1950412546510964565972929580077
y[1] (numeric) = 4.1950412546510964565973886910713
absolute error = 9.57330636e-23
relative error = 2.2820529713232144049385148909061e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1617
y[1] (analytic) = 4.1953607747523003596871483052878
y[1] (numeric) = 4.1953607747523003596872442033516
absolute error = 9.58980638e-23
relative error = 2.2858120897996418037412143972298e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1618
y[1] (analytic) = 4.1956803268071120369280137145845
y[1] (numeric) = 4.1956803268071120369281097776806
absolute error = 9.60630961e-23
relative error = 2.2895713833637904703136243894445e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1619
y[1] (analytic) = 4.1959999108187270088706688920976
y[1] (numeric) = 4.1959999108187270088707651202579
absolute error = 9.62281603e-23
relative error = 2.2933308471215834928807967268939e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.162
y[1] (analytic) = 4.1963195267903411156339267573512
y[1] (numeric) = 4.1963195267903411156340231506078
absolute error = 9.63932566e-23
relative error = 2.2970904857125779660683166093637e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1621
y[1] (analytic) = 4.1966391747251505169365918444089
y[1] (numeric) = 4.1966391747251505169366884027938
absolute error = 9.65583849e-23
relative error = 2.3008502966263206354008344175628e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1622
y[1] (analytic) = 4.1969588546263516921294218990883
y[1] (numeric) = 4.1969588546263516921295186226336
absolute error = 9.67235453e-23
relative error = 2.3046102821184587791758796594246e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1623
y[1] (analytic) = 4.1972785664971414402270926724953
y[1] (numeric) = 4.1972785664971414402271895612331
absolute error = 9.68887378e-23
relative error = 2.3083704420614367661810147162853e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1624
y[1] (analytic) = 4.1975983103407168799401659111974
y[1] (numeric) = 4.1975983103407168799402629651598
absolute error = 9.70539624e-23
relative error = 2.3121307763277182222507580121428e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1625
y[1] (analytic) = 4.197918086160275449707060544356
y[1] (numeric) = 4.1979180861602754497071577635751
absolute error = 9.72192191e-23
relative error = 2.3158912847897860298691056500420e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1626
y[1] (analytic) = 4.1982378939590149077260270681373
y[1] (numeric) = 4.1982378939590149077261244526451
absolute error = 9.73845078e-23
relative error = 2.3196519649381906012176294185581e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1627
y[1] (analytic) = 4.1985577337401333319871251277214
y[1] (numeric) = 4.1985577337401333319872226775499
absolute error = 9.75498285e-23
relative error = 2.3234128166459976913301161714706e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1628
y[1] (analytic) = 4.1988776055068291203042042972293
y[1] (numeric) = 4.1988776055068291203043020124107
absolute error = 9.77151814e-23
relative error = 2.3271738445494699118699457980959e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1629
y[1] (analytic) = 4.1991975092623009903468880578886
y[1] (numeric) = 4.199197509262300990346985938455
absolute error = 9.78805664e-23
relative error = 2.3309350461392154128760259245428e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.163
y[1] (analytic) = 4.199517445009747979672560974756
y[1] (numeric) = 4.1995174450097479796726590207395
absolute error = 9.80459835e-23
relative error = 2.3346964212878133255959567854314e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1631
y[1] (analytic) = 4.1998374127523694457583590723178
y[1] (numeric) = 4.1998374127523694457584572837505
absolute error = 9.82114327e-23
relative error = 2.3384579698678620355318886092887e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1632
y[1] (analytic) = 4.200157412493365066033163409288
y[1] (numeric) = 4.200157412493365066033261786202
absolute error = 9.83769140e-23
relative error = 2.3422196917519791820399061617223e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1633
y[1] (analytic) = 4.2004774442359348379095968529238
y[1] (numeric) = 4.2004774442359348379096953953513
absolute error = 9.85424275e-23
relative error = 2.3459815891934834096480240639366e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1634
y[1] (analytic) = 4.2007975079832790788160240531787
y[1] (numeric) = 4.2007975079832790788161227611517
absolute error = 9.87079730e-23
relative error = 2.3497436573034859738105517311054e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1635
y[1] (analytic) = 4.2011176037385984262285546170122
y[1] (numeric) = 4.2011176037385984262286534905629
absolute error = 9.88735507e-23
relative error = 2.3535059007158444085126603409768e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1636
y[1] (analytic) = 4.2014377315050938377030494831782
y[1] (numeric) = 4.2014377315050938377031485223387
absolute error = 9.90391605e-23
relative error = 2.3572683169225716413003218173516e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1637
y[1] (analytic) = 4.2017578912859665909071304978101
y[1] (numeric) = 4.2017578912859665909072297026125
absolute error = 9.92048024e-23
relative error = 2.3610309057963816032833469075409e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1638
y[1] (analytic) = 4.2020780830844182836521931911234
y[1] (numeric) = 4.2020780830844182836522925615999
absolute error = 9.93704765e-23
relative error = 2.3647936695897823889203676481672e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1639
y[1] (analytic) = 4.2023983069036508339254227555569
y[1] (numeric) = 4.2023983069036508339255222917395
absolute error = 9.95361826e-23
relative error = 2.3685566034157952685324896905685e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.164
y[1] (analytic) = 4.2027185627468664799218132256705
y[1] (numeric) = 4.2027185627468664799219129275915
absolute error = 9.97019210e-23
relative error = 2.3723197142859726722148552718304e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1641
y[1] (analytic) = 4.2030388506172677800761898601226
y[1] (numeric) = 4.2030388506172677800762897278141
absolute error = 9.98676915e-23
relative error = 2.3760829973135557676254841270874e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1642
y[1] (analytic) = 4.2033591705180576130952347260444
y[1] (numeric) = 4.2033591705180576130953347595386
absolute error = 1.000334942e-22
relative error = 2.3798464547504044071777118577490e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1643
y[1] (analytic) = 4.203679522452439177989515486134
y[1] (numeric) = 4.203679522452439177989615685463
absolute error = 1.001993290e-22
relative error = 2.3836100840899358675960525639161e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1644
y[1] (analytic) = 4.2039999064236159941055173887882
y[1] (numeric) = 4.2039999064236159941056177539842
absolute error = 1.003651960e-22
relative error = 2.3873738875836859348658803623292e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1645
y[1] (analytic) = 4.2043203224347919011576784615943
y[1] (numeric) = 4.2043203224347919011577789926895
absolute error = 1.005310952e-22
relative error = 2.3911378651039787785468665258809e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=64.8MB, alloc=4.1MB, time=3.06
NO POLE
x[1] = 1.1646
y[1] (analytic) = 4.2046407704891710592604279085014
y[1] (numeric) = 4.2046407704891710592605286055279
absolute error = 1.006970265e-22
relative error = 2.3949020141448334110397353965470e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1647
y[1] (analytic) = 4.204961250589957948960227710991
y[1] (numeric) = 4.204961250589957948960328573981
absolute error = 1.008629900e-22
relative error = 2.3986663369572996011815160193208e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1648
y[1] (analytic) = 4.2052817627403573712676174335685
y[1] (numeric) = 4.2052817627403573712677184625542
absolute error = 1.010289857e-22
relative error = 2.4024308334137594044813774735381e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1649
y[1] (analytic) = 4.2056023069435744476892622338954
y[1] (numeric) = 4.205602306943574447689363428909
absolute error = 1.011950136e-22
relative error = 2.4061955033866141804563651030156e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.165
y[1] (analytic) = 4.2059228832028146202600040778825
y[1] (numeric) = 4.2059228832028146202601054389562
absolute error = 1.013610737e-22
relative error = 2.4099603467482845922243170398820e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1651
y[1] (analytic) = 4.206243491521283651574916160065
y[1] (numeric) = 4.2062434915212836515750176872311
absolute error = 1.015271661e-22
relative error = 2.4137253657486288464234688994529e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1652
y[1] (analytic) = 4.2065641319021876248213605295804
y[1] (numeric) = 4.206564131902187624821462222871
absolute error = 1.016932906e-22
relative error = 2.4174905555050885155994767239355e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1653
y[1] (analytic) = 4.206884804348732943811048922068
y[1] (numeric) = 4.2068848043487329438111507815154
absolute error = 1.018594474e-22
relative error = 2.4212559206447974549943508083259e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1654
y[1] (analytic) = 4.2072055088641263330121067978136
y[1] (numeric) = 4.2072055088641263330122088234499
absolute error = 1.020256363e-22
relative error = 2.4250214562859607050847048216187e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1655
y[1] (analytic) = 4.2075262454515748375811405864568
y[1] (numeric) = 4.2075262454515748375812427783143
absolute error = 1.021918575e-22
relative error = 2.4287871670550258990762321699916e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1656
y[1] (analytic) = 4.2078470141142858233953081385844
y[1] (numeric) = 4.2078470141142858233954104966953
absolute error = 1.023581109e-22
relative error = 2.4325530504474737235959885895338e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1657
y[1] (analytic) = 4.2081678148554669770843923845282
y[1] (numeric) = 4.2081678148554669770844949089247
absolute error = 1.025243965e-22
relative error = 2.4363191063358599840500356846972e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1658
y[1] (analytic) = 4.2084886476783263060628782006896
y[1] (numeric) = 4.208488647678326306062980891404
absolute error = 1.026907144e-22
relative error = 2.4400853369689097148455931336064e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1659
y[1] (analytic) = 4.2088095125860721385620324837117
y[1] (numeric) = 4.2088095125860721385621353407762
absolute error = 1.028570645e-22
relative error = 2.4438517398427050942527526721055e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.166
y[1] (analytic) = 4.2091304095819131236619874328181
y[1] (numeric) = 4.2091304095819131236620904562649
absolute error = 1.030234468e-22
relative error = 2.4476183148298598559494207566662e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1661
y[1] (analytic) = 4.2094513386690582313238270406412
y[1] (numeric) = 4.2094513386690582313239302305026
absolute error = 1.031898614e-22
relative error = 2.4513850641786135418361286173066e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1662
y[1] (analytic) = 4.2097722998507167524216767928599
y[1] (numeric) = 4.2097722998507167524217801491681
absolute error = 1.033563082e-22
relative error = 2.4551519853856497325702717245508e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1663
y[1] (analytic) = 4.2100932931300982987747965769674
y[1] (numeric) = 4.2100932931300982987749000997547
absolute error = 1.035227873e-22
relative error = 2.4589190806988843633627736826169e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1664
y[1] (analytic) = 4.2104143185104128031796768004906
y[1] (numeric) = 4.2104143185104128031797804897893
absolute error = 1.036892987e-22
relative error = 2.4626863499904650848541599721939e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1665
y[1] (analytic) = 4.2107353759948705194421377189818
y[1] (numeric) = 4.2107353759948705194422415748241
absolute error = 1.038558423e-22
relative error = 2.4664537907576768193391588770857e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1666
y[1] (analytic) = 4.2110564655866820224094319741036
y[1] (numeric) = 4.2110564655866820224095359965219
absolute error = 1.040224183e-22
relative error = 2.4702214076226511744902164755355e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1667
y[1] (analytic) = 4.2113775872890582080023503421284
y[1] (numeric) = 4.2113775872890582080024545311549
absolute error = 1.041890265e-22
relative error = 2.4739891957080107612947379246865e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1668
y[1] (analytic) = 4.2116987411052102932473306931727
y[1] (numeric) = 4.2116987411052102932474350488397
absolute error = 1.043556670e-22
relative error = 2.4777571572608627001721517865475e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1669
y[1] (analytic) = 4.2120199270383498163085701614885
y[1] (numeric) = 4.2120199270383498163086746838282
absolute error = 1.045223397e-22
relative error = 2.4815252897792935728843461265669e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.167
y[1] (analytic) = 4.2123411450916886365201405271318
y[1] (numeric) = 4.2123411450916886365202452161766
absolute error = 1.046890448e-22
relative error = 2.4852935978840637843585139596747e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1671
y[1] (analytic) = 4.2126623952684389344181068093304
y[1] (numeric) = 4.2126623952684389344182116651126
absolute error = 1.048557822e-22
relative error = 2.4890620790731175664963521977855e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1672
y[1] (analytic) = 4.2129836775718132117726490718711
y[1] (numeric) = 4.212983677571813211772754094423
absolute error = 1.050225519e-22
relative error = 2.4928307332187573657272953713655e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1673
y[1] (analytic) = 4.2133049920050242916201874408284
y[1] (numeric) = 4.2133049920050242916202926301823
absolute error = 1.051893539e-22
relative error = 2.4965995601933049796530744782885e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1674
y[1] (analytic) = 4.2136263385712853182955103349553
y[1] (numeric) = 4.2136263385712853182956156911435
absolute error = 1.053561882e-22
relative error = 2.5003685598691015566314540936418e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1675
y[1] (analytic) = 4.2139477172738097574639059090581
y[1] (numeric) = 4.2139477172738097574640114321129
absolute error = 1.055230548e-22
relative error = 2.5041377321185075953595216494915e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1676
y[1] (analytic) = 4.2142691281158113961532967106759
y[1] (numeric) = 4.2142691281158113961534024006297
absolute error = 1.056899538e-22
relative error = 2.5079070791867936393778031581707e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1677
y[1] (analytic) = 4.2145905711005043427863775503871
y[1] (numeric) = 4.2145905711005043427864834072721
absolute error = 1.058568850e-22
relative error = 2.5116765962003965187552148962132e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1678
y[1] (analytic) = 4.2149120462311030272127565860622
y[1] (numeric) = 4.2149120462311030272128626099109
absolute error = 1.060238487e-22
relative error = 2.5154462901498639593570461873973e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1679
y[1] (analytic) = 4.2152335535108222007410996213878
y[1] (numeric) = 4.2152335535108222007412058122324
absolute error = 1.061908446e-22
relative error = 2.5192161537895047354636381915212e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.168
y[1] (analytic) = 4.2155550929428769361712776189791
y[1] (numeric) = 4.215555092942876936171383976852
absolute error = 1.063578729e-22
relative error = 2.5229861917366526755696128235358e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1681
y[1] (analytic) = 4.215876664530482627826517428406
y[1] (numeric) = 4.2158766645304826278266239533394
absolute error = 1.065249334e-22
relative error = 2.5267563991192697817304413150777e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1682
y[1] (analytic) = 4.2161982682768549915855557294517
y[1] (numeric) = 4.216198268276854991585662421478
absolute error = 1.066920263e-22
relative error = 2.5305267805540047789476245705403e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1683
y[1] (analytic) = 4.2165199041852100649147961909272
y[1] (numeric) = 4.2165199041852100649149030500789
absolute error = 1.068591517e-22
relative error = 2.5342973382844542657856598661722e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1684
y[1] (analytic) = 4.2168415722587642069004698453623
y[1] (numeric) = 4.2168415722587642069005768716716
absolute error = 1.070263093e-22
relative error = 2.5380680650677380558899822636450e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=68.6MB, alloc=4.1MB, time=3.24
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1685
y[1] (analytic) = 4.2171632725007340982807986798941
y[1] (numeric) = 4.2171632725007340982809058733934
absolute error = 1.071934993e-22
relative error = 2.5418389655194774155819325244413e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1686
y[1] (analytic) = 4.2174850049143367414781624436766
y[1] (numeric) = 4.2174850049143367414782698043983
absolute error = 1.073607217e-22
relative error = 2.5456100395117030773913744210477e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1687
y[1] (analytic) = 4.2178067695027894606312686721309
y[1] (numeric) = 4.2178067695027894606313762001074
absolute error = 1.075279765e-22
relative error = 2.5493812869164651762186549967086e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1688
y[1] (analytic) = 4.2181285662693099016273259283596
y[1] (numeric) = 4.2181285662693099016274336236232
absolute error = 1.076952636e-22
relative error = 2.5531527052351136648862377197941e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1689
y[1] (analytic) = 4.218450395217116032134220262045
y[1] (numeric) = 4.2184503952171160321343281246281
absolute error = 1.078625831e-22
relative error = 2.5569242967108187939781535164518e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.169
y[1] (analytic) = 4.2187722563494261416326948861554
y[1] (numeric) = 4.2187722563494261416328029160904
absolute error = 1.080299350e-22
relative error = 2.5606960612156888744447462216877e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1691
y[1] (analytic) = 4.219094149669458841448533071779
y[1] (numeric) = 4.2190941496694588414486412690983
absolute error = 1.081973193e-22
relative error = 2.5644679986218516179196021325128e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1692
y[1] (analytic) = 4.2194160751804330647847442614086
y[1] (numeric) = 4.2194160751804330647848526261447
absolute error = 1.083647361e-22
relative error = 2.5682401111714503210348182834969e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1693
y[1] (analytic) = 4.2197380328855680667537534009988
y[1] (numeric) = 4.219738032885568066753861933184
absolute error = 1.085321852e-22
relative error = 2.5720123939964783000021660140039e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1694
y[1] (analytic) = 4.2200600227880834244095934911167
y[1] (numeric) = 4.2200600227880834244097021907834
absolute error = 1.086996667e-22
relative error = 2.5757848493392984862598565197336e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1695
y[1] (analytic) = 4.2203820448911990367801013575091
y[1] (numeric) = 4.2203820448911990367802102246898
absolute error = 1.088671807e-22
relative error = 2.5795574794415699250858548039429e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1696
y[1] (analytic) = 4.2207040991981351248991166414081
y[1] (numeric) = 4.2207040991981351248992256761351
absolute error = 1.090347270e-22
relative error = 2.5833302794364290573851463056811e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1697
y[1] (analytic) = 4.2210261857121122318386840098957
y[1] (numeric) = 4.2210261857121122318387932122015
absolute error = 1.092023058e-22
relative error = 2.5871032539348466818012252320949e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1698
y[1] (analytic) = 4.2213483044363512227412585866517
y[1] (numeric) = 4.2213483044363512227413679565687
absolute error = 1.093699170e-22
relative error = 2.5908764004396325962816584491442e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1699
y[1] (analytic) = 4.2216704553740732848519146034048
y[1] (numeric) = 4.2216704553740732848520241409654
absolute error = 1.095375606e-22
relative error = 2.5946497188230697312066149190939e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.17
y[1] (analytic) = 4.2219926385284999275505572724101
y[1] (numeric) = 4.2219926385284999275506669776467
absolute error = 1.097052366e-22
relative error = 2.5984232089574604138190104609795e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1701
y[1] (analytic) = 4.222314853902852982384137880275
y[1] (numeric) = 4.2223148539028529823842477532202
absolute error = 1.098729452e-22
relative error = 2.6021968754518645533721876374560e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1702
y[1] (analytic) = 4.222637101500354603098872103456
y[1] (numeric) = 4.2226371015003546030989821441422
absolute error = 1.100406862e-22
relative error = 2.6059707134411621222547636485795e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1703
y[1] (analytic) = 4.2229593813242272656724615457471
y[1] (numeric) = 4.2229593813242272656725717542067
absolute error = 1.102084596e-22
relative error = 2.6097447227977136928147406139656e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1704
y[1] (analytic) = 4.2232816933776937683463184980841
y[1] (numeric) = 4.2232816933776937683464288743495
absolute error = 1.103762654e-22
relative error = 2.6135189033938992325541805315013e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1705
y[1] (analytic) = 4.2236040376639772316577939209852
y[1] (numeric) = 4.223604037663977231657904465089
absolute error = 1.105441038e-22
relative error = 2.6172932598374104799863730889629e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1706
y[1] (analytic) = 4.2239264141863010984724086499519
y[1] (numeric) = 4.2239264141863010984725193619265
absolute error = 1.107119746e-22
relative error = 2.6210677872646510058406405766071e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1707
y[1] (analytic) = 4.2242488229478891340160878241505
y[1] (numeric) = 4.2242488229478891340161987040284
absolute error = 1.108798779e-22
relative error = 2.6248424879153438104932946787932e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1708
y[1] (analytic) = 4.2245712639519654259073985386987
y[1] (numeric) = 4.2245712639519654259075095865123
absolute error = 1.110478136e-22
relative error = 2.6286173592943003352555400201446e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1709
y[1] (analytic) = 4.2248937372017543841897907208777
y[1] (numeric) = 4.2248937372017543841899019366595
absolute error = 1.112157818e-22
relative error = 2.6323924036409210383076536456812e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.171
y[1] (analytic) = 4.2252162427004807413638412305939
y[1] (numeric) = 4.2252162427004807413639526143764
absolute error = 1.113837825e-22
relative error = 2.6361676208271603417271056726397e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1711
y[1] (analytic) = 4.2255387804513695524195011854115
y[1] (numeric) = 4.2255387804513695524196127372272
absolute error = 1.115518157e-22
relative error = 2.6399430107249921168244656106570e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1712
y[1] (analytic) = 4.2258613504576461948683465104787
y[1] (numeric) = 4.2258613504576461948684582303601
absolute error = 1.117198814e-22
relative error = 2.6437185732064096837131943370817e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1713
y[1] (analytic) = 4.2261839527225363687758317136704
y[1] (numeric) = 4.22618395272253636877594360165
absolute error = 1.118879796e-22
relative error = 2.6474943081434258108789880345252e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1714
y[1] (analytic) = 4.2265065872492660967935468862699
y[1] (numeric) = 4.2265065872492660967936589423802
absolute error = 1.120561103e-22
relative error = 2.6512702154080727147486741734051e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1715
y[1] (analytic) = 4.2268292540410617241914779295113
y[1] (numeric) = 4.2268292540410617241915901537848
absolute error = 1.122242735e-22
relative error = 2.6550462948724020592586596222434e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1716
y[1] (analytic) = 4.2271519531011499188902700073063
y[1] (numeric) = 4.2271519531011499188903823997756
absolute error = 1.123924693e-22
relative error = 2.6588225487741439407034900999582e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1717
y[1] (analytic) = 4.227474684432757671493494225478
y[1] (numeric) = 4.2274746844327576714936067861755
absolute error = 1.125606975e-22
relative error = 2.6625989722538903484646948094032e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1718
y[1] (analytic) = 4.2277974480391122953199175378228
y[1] (numeric) = 4.227797448039112295320030266781
absolute error = 1.127289582e-22
relative error = 2.6663755675495908789261816281632e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1719
y[1] (analytic) = 4.2281202439234414264357758793255
y[1] (numeric) = 4.228120243923441426435888776577
absolute error = 1.128972515e-22
relative error = 2.6701523368984922024162111703704e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.172
y[1] (analytic) = 4.2284430720889730236870505268483
y[1] (numeric) = 4.2284430720889730236871635924256
absolute error = 1.130655773e-22
relative error = 2.6739292778072648549135194116725e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1721
y[1] (analytic) = 4.2287659325389353687317476876176
y[1] (numeric) = 4.2287659325389353687318609215532
absolute error = 1.132339356e-22
relative error = 2.6777063901480772048723998701544e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1722
y[1] (analytic) = 4.2290888252765570660721813158309
y[1] (numeric) = 4.2290888252765570660722947181575
absolute error = 1.134023266e-22
relative error = 2.6814836785222681486590533564513e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1723
y[1] (analytic) = 4.2294117503050670430872591577071
y[1] (numeric) = 4.2294117503050670430873727284571
absolute error = 1.135707500e-22
relative error = 2.6852611357077766962302720292606e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
memory used=72.4MB, alloc=4.1MB, time=3.42
x[1] = 1.1724
y[1] (analytic) = 4.229734707627694550064772025302
y[1] (numeric) = 4.229734707627694550064885764508
absolute error = 1.137392060e-22
relative error = 2.6890387663058001385610190073386e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1725
y[1] (analytic) = 4.2300576972476691602336862994136
y[1] (numeric) = 4.2300576972476691602338002071081
absolute error = 1.139076945e-22
relative error = 2.6928165678240091347821798495487e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1726
y[1] (analytic) = 4.2303807191682207697964396618983
y[1] (numeric) = 4.2303807191682207697965537381139
absolute error = 1.140762156e-22
relative error = 2.6965945424985227648093439774954e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1727
y[1] (analytic) = 4.2307037733925795979612400577225
y[1] (numeric) = 4.2307037733925795979613543024918
absolute error = 1.142447693e-22
relative error = 2.7003726902010846068601234481833e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1728
y[1] (analytic) = 4.2310268599239761869743678870715
y[1] (numeric) = 4.231026859923976186974482300427
absolute error = 1.144133555e-22
relative error = 2.7041510084399652973743386841837e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1729
y[1] (analytic) = 4.2313499787656414021524814278391
y[1] (numeric) = 4.2313499787656414021525960098134
absolute error = 1.145819743e-22
relative error = 2.7079294994508008198395405036646e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.173
y[1] (analytic) = 4.2316731299208064319149254888211
y[1] (numeric) = 4.2316731299208064319150402394468
absolute error = 1.147506257e-22
relative error = 2.7117081631053932194998575647385e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1731
y[1] (analytic) = 4.2319963133927027878160432939359
y[1] (numeric) = 4.2319963133927027878161582132456
absolute error = 1.149193097e-22
relative error = 2.7154869992755640392511523592294e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1732
y[1] (analytic) = 4.2323195291845623045774915977948
y[1] (numeric) = 4.2323195291845623045776066858211
absolute error = 1.150880263e-22
relative error = 2.7192660078331543192033594020183e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1733
y[1] (analytic) = 4.2326427772996171401205590329453
y[1] (numeric) = 4.2326427772996171401206742897208
absolute error = 1.152567755e-22
relative error = 2.7230451886500245962423753756185e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1734
y[1] (analytic) = 4.2329660577410997755984876891111
y[1] (numeric) = 4.2329660577410997755986031146684
absolute error = 1.154255573e-22
relative error = 2.7268245415980549035915013130941e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1735
y[1] (analytic) = 4.2332893705122430154287979247514
y[1] (numeric) = 4.2332893705122430154289135191231
absolute error = 1.155943717e-22
relative error = 2.7306040665491447703724369024409e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1736
y[1] (analytic) = 4.2336127156162799873256164112631
y[1] (numeric) = 4.2336127156162799873257321744818
absolute error = 1.157632187e-22
relative error = 2.7343837633752132211658269955596e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1737
y[1] (analytic) = 4.2339360930564441423320074101489
y[1] (numeric) = 4.2339360930564441423321233422472
absolute error = 1.159320983e-22
relative error = 2.7381636319481987755713604049574e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1738
y[1] (analytic) = 4.2342595028359692548523072834749
y[1] (numeric) = 4.2342595028359692548524233844855
absolute error = 1.161010106e-22
relative error = 2.7419436745017474816024577162188e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1739
y[1] (analytic) = 4.2345829449580894226844622379411
y[1] (numeric) = 4.2345829449580894226845785078966
absolute error = 1.162699555e-22
relative error = 2.7457238885457880370596961440736e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.174
y[1] (analytic) = 4.2349064194260390670523693028876
y[1] (numeric) = 4.2349064194260390670524857418206
absolute error = 1.164389330e-22
relative error = 2.7495042739523174725124552131006e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1741
y[1] (analytic) = 4.2352299262430529326382205425607
y[1] (numeric) = 4.2352299262430529326383371505038
absolute error = 1.166079431e-22
relative error = 2.7532848305933523117856717473775e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1742
y[1] (analytic) = 4.2355534654123660876148505029615
y[1] (numeric) = 4.2355534654123660876149672799474
absolute error = 1.167769859e-22
relative error = 2.7570655607018951091048771340863e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1743
y[1] (analytic) = 4.2358770369372139236780868936016
y[1] (numeric) = 4.2358770369372139236782038396628
absolute error = 1.169460612e-22
relative error = 2.7608464594278879480407171576894e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1744
y[1] (analytic) = 4.2362006408208321560791045044878
y[1] (numeric) = 4.2362006408208321560792216196571
absolute error = 1.171151693e-22
relative error = 2.7646275337257644200573614915434e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1745
y[1] (analytic) = 4.2365242770664568236567823586614
y[1] (numeric) = 4.2365242770664568236568996429714
absolute error = 1.172843100e-22
relative error = 2.7684087787456859995189423851549e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1746
y[1] (analytic) = 4.2368479456773242888700641006137
y[1] (numeric) = 4.236847945677324288870181554097
absolute error = 1.174534833e-22
relative error = 2.7721901943597667270055183010820e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1747
y[1] (analytic) = 4.2371716466566712378303216209022
y[1] (numeric) = 4.2371716466566712378304392435916
absolute error = 1.176226894e-22
relative error = 2.7759717851602698966179096185477e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1748
y[1] (analytic) = 4.2374953800077346803337219172917
y[1] (numeric) = 4.2374953800077346803338397092198
absolute error = 1.177919281e-22
relative error = 2.7797535462984975560994832881337e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1749
y[1] (analytic) = 4.2378191457337519498935971927426
y[1] (numeric) = 4.237819145733751949893715153942
absolute error = 1.179611994e-22
relative error = 2.7835354776466222736078524853493e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.175
y[1] (analytic) = 4.2381429438379607037728181905713
y[1] (numeric) = 4.2381429438379607037729363210748
absolute error = 1.181305035e-22
relative error = 2.7873175837958841106138806820577e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1751
y[1] (analytic) = 4.2384667743235989230161707671061
y[1] (numeric) = 4.2384667743235989230162890669463
absolute error = 1.182998402e-22
relative error = 2.7910998598987255128842935950673e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1752
y[1] (analytic) = 4.2387906371939049124827357021616
y[1] (numeric) = 4.2387906371939049124828541713712
absolute error = 1.184692096e-22
relative error = 2.7948823081865410354853396377898e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1753
y[1] (analytic) = 4.239114532452117300878271747657
y[1] (numeric) = 4.2391145324521173008783903862687
absolute error = 1.186386117e-22
relative error = 2.7986649285310404928804279516647e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1754
y[1] (analytic) = 4.2394384601014750407876019147003
y[1] (numeric) = 4.2394384601014750407877207227468
absolute error = 1.188080465e-22
relative error = 2.8024477208039532441346717465125e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1755
y[1] (analytic) = 4.2397624201452174087070029994637
y[1] (numeric) = 4.2397624201452174087071219769777
absolute error = 1.189775140e-22
relative error = 2.8062306848770281924684071462079e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1756
y[1] (analytic) = 4.2400864125865840050765983481732
y[1] (numeric) = 4.2400864125865840050767174951875
absolute error = 1.191470143e-22
relative error = 2.8100138229804762850185772975096e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1757
y[1] (analytic) = 4.2404104374288147543127538615372
y[1] (numeric) = 4.2404104374288147543128731780844
absolute error = 1.193165472e-22
relative error = 2.8137971302690202945790358619677e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1758
y[1] (analytic) = 4.2407344946751499048404772389367
y[1] (numeric) = 4.2407344946751499048405967250495
absolute error = 1.194861128e-22
relative error = 2.8175806089730904808612722484087e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1759
y[1] (analytic) = 4.2410585843288300291258204627025
y[1] (numeric) = 4.2410585843288300291259401184137
absolute error = 1.196557112e-22
relative error = 2.8213642613224157970685559099289e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.176
y[1] (analytic) = 4.2413827063930960237082855228031
y[1] (numeric) = 4.2413827063930960237084053481454
absolute error = 1.198253423e-22
relative error = 2.8251480848305806058204879771608e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1761
y[1] (analytic) = 4.2417068608711891092332333822662
y[1] (numeric) = 4.2417068608711891092333533772723
absolute error = 1.199950061e-22
relative error = 2.8289320793694510944334350399096e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1762
y[1] (analytic) = 4.2420310477663508304842961836596
y[1] (numeric) = 4.2420310477663508304844163483623
absolute error = 1.201647027e-22
relative error = 2.8327162471682743324005271354637e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=76.2MB, alloc=4.1MB, time=3.60
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1763
y[1] (analytic) = 4.2423552670818230564157926969545
y[1] (numeric) = 4.2423552670818230564159130313865
absolute error = 1.203344320e-22
relative error = 2.8365005857412339277688942278678e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1764
y[1] (analytic) = 4.2426795188208479801851470090958
y[1] (numeric) = 4.2426795188208479801852675132898
absolute error = 1.205041940e-22
relative error = 2.8402850949602547181250225282819e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1765
y[1] (analytic) = 4.243003802986668119185310455603
y[1] (numeric) = 4.2430038029866681191854311295918
absolute error = 1.206739888e-22
relative error = 2.8440697770541019709042070712199e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1766
y[1] (analytic) = 4.2433281195825263150771867945272
y[1] (numeric) = 4.2433281195825263150773076383436
absolute error = 1.208438164e-22
relative error = 2.8478546318941992087336798040211e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1767
y[1] (analytic) = 4.243652468611665733822060623087
y[1] (numeric) = 4.2436524686116657338221816367637
absolute error = 1.210136767e-22
relative error = 2.8516396569955289129976278152802e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1768
y[1] (analytic) = 4.243976850077329865714029037308
y[1] (numeric) = 4.2439768500773298657141502208778
absolute error = 1.211835698e-22
relative error = 2.8554248545863746592864508101010e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1769
y[1] (analytic) = 4.2443012639827625254124365349915
y[1] (numeric) = 4.2443012639827625254125578884871
absolute error = 1.213534956e-22
relative error = 2.8592102221821183058096334871516e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.177
y[1] (analytic) = 4.2446257103312078519743131623343
y[1] (numeric) = 4.2446257103312078519744346857885
absolute error = 1.215234542e-22
relative error = 2.8629957620107223360932963772371e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1771
y[1] (analytic) = 4.2449501891259103088868159045265
y[1] (numeric) = 4.2449501891259103088869375979721
absolute error = 1.216934456e-22
relative error = 2.8667814739437081906132930412019e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1772
y[1] (analytic) = 4.2452747003701146840996733206498
y[1] (numeric) = 4.2452747003701146840997951841196
absolute error = 1.218634698e-22
relative error = 2.8705673578526169034860205384323e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1773
y[1] (analytic) = 4.2455992440670660900576334232022
y[1] (numeric) = 4.2455992440670660900577554567289
absolute error = 1.220335267e-22
relative error = 2.8743534112536289954321930528359e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1774
y[1] (analytic) = 4.2459238202200099637329148025719
y[1] (numeric) = 4.2459238202200099637330370061885
absolute error = 1.222036166e-22
relative error = 2.8781396410844650062390291371932e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1775
y[1] (analytic) = 4.2462484288321920666576609967874
y[1] (numeric) = 4.2462484288321920666577833705265
absolute error = 1.223737391e-22
relative error = 2.8819260377955644225562925087700e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1776
y[1] (analytic) = 4.2465730699068584849563981068651
y[1] (numeric) = 4.2465730699068584849565206507596
absolute error = 1.225438945e-22
relative error = 2.8857126083241468029937219888882e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1777
y[1] (analytic) = 4.2468977434472556293784956580822
y[1] (numeric) = 4.2468977434472556293786183721649
absolute error = 1.227140827e-22
relative error = 2.8894993501866510915762153166014e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1778
y[1] (analytic) = 4.2472224494566302353306307074972
y[1] (numeric) = 4.2472224494566302353307535918009
absolute error = 1.228843037e-22
relative error = 2.8932862632547358747328726997049e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1779
y[1] (analytic) = 4.2475471879382293629092551980439
y[1] (numeric) = 4.2475471879382293629093782526014
absolute error = 1.230545575e-22
relative error = 2.8970733474000793293523545761693e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.178
y[1] (analytic) = 4.2478719588953003969330665595226
y[1] (numeric) = 4.2478719588953003969331897843668
absolute error = 1.232248442e-22
relative error = 2.9008606048484991432577552218242e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1781
y[1] (analytic) = 4.2481967623310910469754815568147
y[1] (numeric) = 4.2481967623310910469756049519784
absolute error = 1.233951637e-22
relative error = 2.9046480331172327751093799676785e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1782
y[1] (analytic) = 4.2485215982488493473971133856435
y[1] (numeric) = 4.2485215982488493473972369511595
absolute error = 1.235655160e-22
relative error = 2.9084356320780171990103354645088e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1783
y[1] (analytic) = 4.2488464666518236573782520162075
y[1] (numeric) = 4.2488464666518236573783757521086
absolute error = 1.237359011e-22
relative error = 2.9122234016026089776963132520294e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1784
y[1] (analytic) = 4.2491713675432626609513477850104
y[1] (numeric) = 4.2491713675432626609514716913295
absolute error = 1.239063191e-22
relative error = 2.9160113439161842864643820740462e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1785
y[1] (analytic) = 4.2494963009264153670334982352128
y[1] (numeric) = 4.2494963009264153670336223119828
absolute error = 1.240767700e-22
relative error = 2.9197994588899990129720108293117e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1786
y[1] (analytic) = 4.2498212668045311094589382058301
y[1] (numeric) = 4.2498212668045311094590624530837
absolute error = 1.242472536e-22
relative error = 2.9235877416892484227543035030564e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1787
y[1] (analytic) = 4.2501462651808595470115331701017
y[1] (numeric) = 4.2501462651808595470116575878719
absolute error = 1.244177702e-22
relative error = 2.9273761992448878854460379159010e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1788
y[1] (analytic) = 4.2504712960586506634572758233574
y[1] (numeric) = 4.250471296058650663457400411677
absolute error = 1.245883196e-22
relative error = 2.9311648267223318376716087135950e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1789
y[1] (analytic) = 4.2507963594411547675767859207037
y[1] (numeric) = 4.2507963594411547675769106796056
absolute error = 1.247589019e-22
relative error = 2.9349536263459548180912294112647e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.179
y[1] (analytic) = 4.2511214553316224931978133648575
y[1] (numeric) = 4.2511214553316224931979382943745
absolute error = 1.249295170e-22
relative error = 2.9387425956347904093389346189898e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1791
y[1] (analytic) = 4.2514465837333047992277445444504
y[1] (numeric) = 4.2514465837333047992278696446155
absolute error = 1.251001651e-22
relative error = 2.9425317391650331253357110345541e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1792
y[1] (analytic) = 4.2517717446494529696861119231302
y[1] (numeric) = 4.2517717446494529696862371939761
absolute error = 1.252708459e-22
relative error = 2.9463210497516545527402811669977e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1793
y[1] (analytic) = 4.2520969380833186137371068797825
y[1] (numeric) = 4.2520969380833186137372323213422
absolute error = 1.254415597e-22
relative error = 2.9501105343224893524073779057109e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1794
y[1] (analytic) = 4.2524221640381536657220958002005
y[1] (numeric) = 4.2524221640381536657222214125069
absolute error = 1.256123064e-22
relative error = 2.9539001903968295372564435319495e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1795
y[1] (analytic) = 4.2527474225172103851921394205253
y[1] (numeric) = 4.2527474225172103851922652036112
absolute error = 1.257830859e-22
relative error = 2.9576900154947062378836563258216e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1796
y[1] (analytic) = 4.2530727135237413569405154227836
y[1] (numeric) = 4.253072713523741356940641376682
absolute error = 1.259538984e-22
relative error = 2.9614800141906133545136949300080e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1797
y[1] (analytic) = 4.2533980370609994910352442828479
y[1] (numeric) = 4.2533980370609994910353704075917
absolute error = 1.261247438e-22
relative error = 2.9652701840044414418376579293143e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1798
y[1] (analytic) = 4.2537233931322380228516183711435
y[1] (numeric) = 4.2537233931322380228517446667656
absolute error = 1.262956221e-22
relative error = 2.9690605248077016432536616318641e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1799
y[1] (analytic) = 4.2540487817407105131047343064287
y[1] (numeric) = 4.254048781740710513104860772962
absolute error = 1.264665333e-22
relative error = 2.9728510364719247405806697598107e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.18
y[1] (analytic) = 4.2543742028896708478820285629729
y[1] (numeric) = 4.2543742028896708478821552004503
absolute error = 1.266374774e-22
relative error = 2.9766417188686611535947583136333e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1801
y[1] (analytic) = 4.2546996565823732386758163314579
y[1] (numeric) = 4.2546996565823732386759431399123
absolute error = 1.268084544e-22
relative error = 2.9804325718694809395649331034632e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=80.1MB, alloc=4.1MB, time=3.79
NO POLE
x[1] = 1.1802
y[1] (analytic) = 4.2550251428220722224158336339283
y[1] (numeric) = 4.2550251428220722224159606133927
absolute error = 1.269794644e-22
relative error = 2.9842235976961361688838083758017e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1803
y[1] (analytic) = 4.255350661612022661501782693116
y[1] (numeric) = 4.2553506616120226615019098436234
absolute error = 1.271505074e-22
relative error = 2.9880147962196968358868966757449e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1804
y[1] (analytic) = 4.2556762129554797438358805564645
y[1] (numeric) = 4.2556762129554797438360078780477
absolute error = 1.273215832e-22
relative error = 2.9918061626116469722958365757518e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1805
y[1] (analytic) = 4.2560017968556989828554109751776
y[1] (numeric) = 4.2560017968556989828555384678696
absolute error = 1.274926920e-22
relative error = 2.9955977014434206535355648767072e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1806
y[1] (analytic) = 4.2563274133159362175652795386201
y[1] (numeric) = 4.2563274133159362175654072024538
absolute error = 1.276638337e-22
relative error = 2.9993894102367035772782222605025e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1807
y[1] (analytic) = 4.2566530623394476125705720643935
y[1] (numeric) = 4.256653062339447612570699899402
absolute error = 1.278350085e-22
relative error = 3.0031812935617108274876537106325e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1808
y[1] (analytic) = 4.2569787439294896581091162444143
y[1] (numeric) = 4.2569787439294896581092442506305
absolute error = 1.280062162e-22
relative error = 3.0069733465909038888837119193895e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1809
y[1] (analytic) = 4.2573044580893191700840465473192
y[1] (numeric) = 4.257304458089319170084174724776
absolute error = 1.281774568e-22
relative error = 3.0107655691960100162612777756750e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.181
y[1] (analytic) = 4.2576302048221932900963723775236
y[1] (numeric) = 4.257630204822193290096500726254
absolute error = 1.283487304e-22
relative error = 3.0145579635975005098689756246101e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1811
y[1] (analytic) = 4.257955984131369485477549491259
y[1] (numeric) = 4.257955984131369485477678011296
absolute error = 1.285200370e-22
relative error = 3.0183505296666027827888437399220e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1812
y[1] (analytic) = 4.2582817960201055493220546699145
y[1] (numeric) = 4.2582817960201055493221833612911
absolute error = 1.286913766e-22
relative error = 3.0221432672745639376378875527856e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1813
y[1] (analytic) = 4.2586076404916596005199636510089
y[1] (numeric) = 4.258607640491659600520092513758
absolute error = 1.288627491e-22
relative error = 3.0259361739444654331948638692100e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1814
y[1] (analytic) = 4.2589335175492900837895323171184
y[1] (numeric) = 4.2589335175492900837896613512731
absolute error = 1.290341547e-22
relative error = 3.0297292542441440895769298369227e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1815
y[1] (analytic) = 4.2592594271962557697097811430866
y[1] (numeric) = 4.2592594271962557697099103486798
absolute error = 1.292055932e-22
relative error = 3.0335225033487150643508702574923e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1816
y[1] (analytic) = 4.2595853694358157547530829018416
y[1] (numeric) = 4.2595853694358157547532122789063
absolute error = 1.293770647e-22
relative error = 3.0373159234776895179034064691179e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1817
y[1] (analytic) = 4.259911344271229461317753629147
y[1] (numeric) = 4.2599113442712294613178831777162
absolute error = 1.295485692e-22
relative error = 3.0411095145024129649054065533301e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1818
y[1] (analytic) = 4.2602373517057566377606468476121
y[1] (numeric) = 4.2602373517057566377607765677188
absolute error = 1.297201067e-22
relative error = 3.0449032762942506067465797848572e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1819
y[1] (analytic) = 4.2605633917426573584297510502878
y[1] (numeric) = 4.2605633917426573584298809419651
absolute error = 1.298916773e-22
relative error = 3.0486972110716947627674309119165e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.182
y[1] (analytic) = 4.2608894643851920236967904441737
y[1] (numeric) = 4.2608894643851920236969205074545
absolute error = 1.300632808e-22
relative error = 3.0524913140117555261318407354444e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1821
y[1] (analytic) = 4.2612155696366213599898289539621
y[1] (numeric) = 4.2612155696366213599899591888795
absolute error = 1.302349174e-22
relative error = 3.0562855896798924211807859710774e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1822
y[1] (analytic) = 4.2615417075002064198258774863462
y[1] (numeric) = 4.2615417075002064198260078929333
absolute error = 1.304065871e-22
relative error = 3.0600800379470105981149536376470e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1823
y[1] (analytic) = 4.2618678779792085818435044552173
y[1] (numeric) = 4.2618678779792085818436350335071
absolute error = 1.305782898e-22
relative error = 3.0638746563376459271736731860971e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1824
y[1] (analytic) = 4.2621940810768895508354495680776
y[1] (numeric) = 4.2621940810768895508355803181031
absolute error = 1.307500255e-22
relative error = 3.0676694447232817773423194515055e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1825
y[1] (analytic) = 4.2625203167965113577812408739949
y[1] (numeric) = 4.2625203167965113577813717957891
absolute error = 1.309217942e-22
relative error = 3.0714644029754212010210390483224e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1826
y[1] (analytic) = 4.2628465851413363598798150734246
y[1] (numeric) = 4.2628465851413363598799461670207
absolute error = 1.310935961e-22
relative error = 3.0752595356572875614158440585986e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1827
y[1] (analytic) = 4.2631728861146272405821410902272
y[1] (numeric) = 4.2631728861146272405822723556581
absolute error = 1.312654309e-22
relative error = 3.0790548356023336841502435876958e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1828
y[1] (analytic) = 4.263499219719647009623846906204
y[1] (numeric) = 4.2634992197196470096239783435029
absolute error = 1.314372989e-22
relative error = 3.0828503097191340176231600116869e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1829
y[1] (analytic) = 4.2638255859596590030578496584817
y[1] (numeric) = 4.2638255859596590030579812676815
absolute error = 1.316091998e-22
relative error = 3.0866459508422581089282924218879e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.183
y[1] (analytic) = 4.2641519848379268832869890000679
y[1] (numeric) = 4.2641519848379268832871207812017
absolute error = 1.317811338e-22
relative error = 3.0904417635341104120227617587636e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1831
y[1] (analytic) = 4.2644784163577146390966637239071
y[1] (numeric) = 4.264478416357714639096795677008
absolute error = 1.319531009e-22
relative error = 3.0942377476657735910122294693054e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1832
y[1] (analytic) = 4.2648048805222865856874716507619
y[1] (numeric) = 4.264804880522286585687603775863
absolute error = 1.321251011e-22
relative error = 3.0980339031083500472831733599343e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1833
y[1] (analytic) = 4.265131377334907364707852781246
y[1] (numeric) = 4.2651313773349073647079850783804
absolute error = 1.322971344e-22
relative error = 3.1018302297329619190271850199837e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1834
y[1] (analytic) = 4.265457906798841944286735712336
y[1] (numeric) = 4.2654579067988419442868681815368
absolute error = 1.324692008e-22
relative error = 3.1056267274107510807648193980813e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1835
y[1] (analytic) = 4.2657844689173556190661873186878
y[1] (numeric) = 4.265784468917355619066319959988
absolute error = 1.326413002e-22
relative error = 3.1094233936686444369514769409952e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1836
y[1] (analytic) = 4.2661110636937140102340656990844
y[1] (numeric) = 4.2661110636937140102341985125171
absolute error = 1.328134327e-22
relative error = 3.1132202307224169679343692366910e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1837
y[1] (analytic) = 4.2664376911311830655566763883418
y[1] (numeric) = 4.2664376911311830655568093739401
absolute error = 1.329855983e-22
relative error = 3.1170172384432697257614786410477e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1838
y[1] (analytic) = 4.2667643512330290594114318349993
y[1] (numeric) = 4.2667643512330290594115649927963
absolute error = 1.331577970e-22
relative error = 3.1208144167024234969001216273970e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1839
y[1] (analytic) = 4.2670910440025185928195141451206
y[1] (numeric) = 4.2670910440025185928196474751495
absolute error = 1.333300289e-22
relative error = 3.1246117677146357075098921930975e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.184
y[1] (analytic) = 4.2674177694429185934785410925333
y[1] (numeric) = 4.2674177694429185934786745948272
absolute error = 1.335022939e-22
relative error = 3.1284092890072908532915864065395e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=83.9MB, alloc=4.1MB, time=3.97
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1841
y[1] (analytic) = 4.267744527557496315795235395832
y[1] (numeric) = 4.2677445275574963157953690704239
absolute error = 1.336745919e-22
relative error = 3.1322069781085108868318109741413e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1842
y[1] (analytic) = 4.2680713183495193409180972624725
y[1] (numeric) = 4.2680713183495193409182311093956
absolute error = 1.338469231e-22
relative error = 3.1360048395760910889623052227757e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1843
y[1] (analytic) = 4.2683981418222555767700802002846
y[1] (numeric) = 4.2683981418222555767702142195721
absolute error = 1.340192875e-22
relative error = 3.1398028732808127182356324391223e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1844
y[1] (analytic) = 4.2687249979789732580812700967286
y[1] (numeric) = 4.2687249979789732580814042884135
absolute error = 1.341916849e-22
relative error = 3.1436010744082370818695273656984e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1845
y[1] (analytic) = 4.2690518868229409464215675662231
y[1] (numeric) = 4.2690518868229409464217019303387
absolute error = 1.343641156e-22
relative error = 3.1473994498575827611685017011860e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1846
y[1] (analytic) = 4.2693788083574275302333735658719
y[1] (numeric) = 4.2693788083574275302335081024512
absolute error = 1.345365793e-22
relative error = 3.1511979924723688477806854512351e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1847
y[1] (analytic) = 4.2697057625857022248642782799146
y[1] (numeric) = 4.2697057625857022248644129889908
absolute error = 1.347090762e-22
relative error = 3.1549967068086954066280401527356e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1848
y[1] (analytic) = 4.2700327495110345725997532732301
y[1] (numeric) = 4.2700327495110345725998881548364
absolute error = 1.348816063e-22
relative error = 3.1587955927374425493745637645452e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1849
y[1] (analytic) = 4.2703597691366944426958469142185
y[1] (numeric) = 4.270359769136694442695981968388
absolute error = 1.350541695e-22
relative error = 3.1625946477877871013513147822040e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.185
y[1] (analytic) = 4.2706868214659520314118830673888
y[1] (numeric) = 4.2706868214659520314120182941547
absolute error = 1.352267659e-22
relative error = 3.1663938741727304808331375807491e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1851
y[1] (analytic) = 4.2710139065020778620431630559795
y[1] (numeric) = 4.2710139065020778620432984553749
absolute error = 1.353993954e-22
relative error = 3.1701932694218477079866134945641e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1852
y[1] (analytic) = 4.2713410242483427849536708949385
y[1] (numeric) = 4.2713410242483427849538064669967
absolute error = 1.355720582e-22
relative error = 3.1739928380890061610697489416237e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1853
y[1] (analytic) = 4.2716681747080179776087817945909
y[1] (numeric) = 4.271668174708017977608917539345
absolute error = 1.357447541e-22
relative error = 3.1777925753626353018148887342281e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1854
y[1] (analytic) = 4.2719953578843749446079739353193
y[1] (numeric) = 4.2719953578843749446081098528024
absolute error = 1.359174831e-22
relative error = 3.1815924811142718022737353635045e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1855
y[1] (analytic) = 4.272322573780685517717543513586
y[1] (numeric) = 4.2723225737806855177176796038314
absolute error = 1.360902454e-22
relative error = 3.1853925598967665216704557087811e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1856
y[1] (analytic) = 4.2726498224002218559033230596236
y[1] (numeric) = 4.2726498224002218559034593226646
absolute error = 1.362630410e-22
relative error = 3.1891928115806199420654668845103e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1857
y[1] (analytic) = 4.2729771037462564453634030271204
y[1] (numeric) = 4.2729771037462564453635394629901
absolute error = 1.364358697e-22
relative error = 3.1929932313557749998313139597828e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1858
y[1] (analytic) = 4.2733044178220620995608566552283
y[1] (numeric) = 4.2733044178220620995609932639599
absolute error = 1.366087316e-22
relative error = 3.1967938214339568215434316378268e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1859
y[1] (analytic) = 4.2736317646309119592564681032211
y[1] (numeric) = 4.2736317646309119592566048848478
absolute error = 1.367816267e-22
relative error = 3.2005945816862630848048619596116e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.186
y[1] (analytic) = 4.2739591441760794925414638581296
y[1] (numeric) = 4.2739591441760794925416008126846
absolute error = 1.369545550e-22
relative error = 3.2043955119838112482311895132837e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1861
y[1] (analytic) = 4.274286556460838494870247415681
y[1] (numeric) = 4.2742865564608384948703845431976
absolute error = 1.371275166e-22
relative error = 3.2081966145373102825043259944227e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1862
y[1] (analytic) = 4.2746140014884630890931372348705
y[1] (numeric) = 4.2746140014884630890932745353819
absolute error = 1.373005114e-22
relative error = 3.2119978868779870423708344751636e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1863
y[1] (analytic) = 4.2749414792622277254891079664914
y[1] (numeric) = 4.2749414792622277254892454400308
absolute error = 1.374735394e-22
relative error = 3.2157993288770183551696707569243e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1864
y[1] (analytic) = 4.2752689897854071817985349559523
y[1] (numeric) = 4.275268989785407181798672602553
absolute error = 1.376466007e-22
relative error = 3.2196009427446349381136050837113e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1865
y[1] (analytic) = 4.2755965330612765632559420207083
y[1] (numeric) = 4.2755965330612765632560798404034
absolute error = 1.378196951e-22
relative error = 3.2234027236738057667199970673267e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1866
y[1] (analytic) = 4.2759241090931113026227525026332
y[1] (numeric) = 4.275924109093111302622890495456
absolute error = 1.379928228e-22
relative error = 3.2272046762136560569081672318660e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1867
y[1] (analytic) = 4.2762517178841871602200435956613
y[1] (numeric) = 4.2762517178841871602201817616451
absolute error = 1.381659838e-22
relative error = 3.2310068002349042430442712712136e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1868
y[1] (analytic) = 4.2765793594377802239613039490255
y[1] (numeric) = 4.2765793594377802239614422882035
absolute error = 1.383391780e-22
relative error = 3.2348090932699711771386795077043e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1869
y[1] (analytic) = 4.2769070337571669093851945464192
y[1] (numeric) = 4.2769070337571669093853330588246
absolute error = 1.385124054e-22
relative error = 3.2386115551901524107918325852589e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.187
y[1] (analytic) = 4.2772347408456239596883128614104
y[1] (numeric) = 4.2772347408456239596884515470765
absolute error = 1.386856661e-22
relative error = 3.2424141882047223985702398356243e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1871
y[1] (analytic) = 4.277562480706428445757960289435
y[1] (numeric) = 4.2775624807064284457580991483951
absolute error = 1.388589601e-22
relative error = 3.2462169921844788519881626323994e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1872
y[1] (analytic) = 4.2778902533428577662049128566971
y[1] (numeric) = 4.2778902533428577662050518889845
absolute error = 1.390322874e-22
relative error = 3.2500199670002393149268416613721e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1873
y[1] (analytic) = 4.2782180587581896473961952063041
y[1] (numeric) = 4.278218058758189647396334411952
absolute error = 1.392056479e-22
relative error = 3.2538231101854193995361153801436e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1874
y[1] (analytic) = 4.2785458969557021434878578619641
y[1] (numeric) = 4.2785458969557021434879972410059
absolute error = 1.393790418e-22
relative error = 3.2576264262858989421755349067490e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1875
y[1] (analytic) = 4.2788737679386736364577577695739
y[1] (numeric) = 4.2788737679386736364578973220429
absolute error = 1.395524690e-22
relative error = 3.2614299128349541057323520895442e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1876
y[1] (analytic) = 4.2792016717103828361383421170249
y[1] (numeric) = 4.2792016717103828361384818429543
absolute error = 1.397259294e-22
relative error = 3.2652335673665972724284814978640e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1877
y[1] (analytic) = 4.2795296082741087802494354325548
y[1] (numeric) = 4.2795296082741087802495753319779
absolute error = 1.398994231e-22
relative error = 3.2690373920889877735984791331324e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1878
y[1] (analytic) = 4.279857577633130834431029961973
y[1] (numeric) = 4.2798575776331308344311700349232
absolute error = 1.400729502e-22
relative error = 3.2728413892095884573612581126457e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1879
y[1] (analytic) = 4.2801855797907286922760793250884
y[1] (numeric) = 4.2801855797907286922762195715989
absolute error = 1.402465105e-22
relative error = 3.2766455539261238995197704466685e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=87.7MB, alloc=4.1MB, time=4.16
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.188
y[1] (analytic) = 4.2805136147501823753632954516656
y[1] (numeric) = 4.2805136147501823753634358717697
absolute error = 1.404201041e-22
relative error = 3.2804498884462756693909945673501e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1881
y[1] (analytic) = 4.2808416825147722332899487972397
y[1] (numeric) = 4.2808416825147722332900893909709
absolute error = 1.405937312e-22
relative error = 3.2842543973130181807089876908035e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1882
y[1] (analytic) = 4.2811697830877789437046718391166
y[1] (numeric) = 4.2811697830877789437048126065081
absolute error = 1.407673915e-22
relative error = 3.2880590733888625242825048653945e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1883
y[1] (analytic) = 4.2814979164724835123402658528861
y[1] (numeric) = 4.2814979164724835123404067939712
absolute error = 1.409410851e-22
relative error = 3.2918639188810126174217451527217e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1884
y[1] (analytic) = 4.2818260826721672730465109697775
y[1] (numeric) = 4.2818260826721672730466520845896
absolute error = 1.411148121e-22
relative error = 3.2956689359959761201780377295689e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1885
y[1] (analytic) = 4.282154281690111887822979515185
y[1] (numeric) = 4.2821542816901118878231208037573
absolute error = 1.412885723e-22
relative error = 3.2994741199337450229223675408405e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1886
y[1] (analytic) = 4.2824825135295993468518526286903
y[1] (numeric) = 4.2824825135295993468519940910562
absolute error = 1.414623659e-22
relative error = 3.3032794752361398252943221880894e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1887
y[1] (analytic) = 4.2828107781939119685307401659121
y[1] (numeric) = 4.282810778193911968530881802105
absolute error = 1.416361929e-22
relative error = 3.3070850017737385635223055894493e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1888
y[1] (analytic) = 4.2831390756863323995055038825095
y[1] (numeric) = 4.2831390756863323995056456925627
absolute error = 1.418100532e-22
relative error = 3.3108906970824029204260625137417e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1889
y[1] (analytic) = 4.2834674060101436147030839006678
y[1] (numeric) = 4.2834674060101436147032258846148
absolute error = 1.419839470e-22
relative error = 3.3146965657024021242616359488261e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.189
y[1] (analytic) = 4.2837957691686289173643284583956
y[1] (numeric) = 4.2837957691686289173644706162697
absolute error = 1.421578741e-22
relative error = 3.3185026028350803244871532851549e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1891
y[1] (analytic) = 4.2841241651650719390768269419603
y[1] (numeric) = 4.2841241651650719390769692737948
absolute error = 1.423318345e-22
relative error = 3.3223088083516319006578965253568e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1892
y[1] (analytic) = 4.2844525940027566398077462017914
y[1] (numeric) = 4.2844525940027566398078887076197
absolute error = 1.425058283e-22
relative error = 3.3261151844572915114572921166552e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1893
y[1] (analytic) = 4.2847810556849673079366701521797
y[1] (numeric) = 4.2847810556849673079368128320352
absolute error = 1.426798555e-22
relative error = 3.3299217310227564185917373287342e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1894
y[1] (analytic) = 4.2851095502149885602884426551005
y[1] (numeric) = 4.2851095502149885602885855090166
absolute error = 1.428539161e-22
relative error = 3.3337284479187437624761133111742e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1895
y[1] (analytic) = 4.2854380775961053421660136884893
y[1] (numeric) = 4.2854380775961053421661567164993
absolute error = 1.430280100e-22
relative error = 3.3375353326825068387331953816580e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1896
y[1] (analytic) = 4.2857666378316029273832887992987
y[1] (numeric) = 4.285766637831602927383432001436
absolute error = 1.432021373e-22
relative error = 3.3413423875186440509755707047331e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1897
y[1] (analytic) = 4.2860952309247669182979818416647
y[1] (numeric) = 4.2860952309247669182981252179628
absolute error = 1.433762981e-22
relative error = 3.3451496146310580923867981482093e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1898
y[1] (analytic) = 4.2864238568788832458444710005117
y[1] (numeric) = 4.2864238568788832458446145510039
absolute error = 1.435504922e-22
relative error = 3.3489570092241148150094464113308e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1899
y[1] (analytic) = 4.2867525156972381695666581009231
y[1] (numeric) = 4.2867525156972381695668018256428
absolute error = 1.437247197e-22
relative error = 3.3527645735019355475396678771913e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.19
y[1] (analytic) = 4.2870812073831182776508312036078
y[1] (numeric) = 4.2870812073831182776509751025885
absolute error = 1.438989807e-22
relative error = 3.3565723096679460212309302500038e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1901
y[1] (analytic) = 4.287409931939810486958530486791
y[1] (numeric) = 4.2874099319398104869586745600661
absolute error = 1.440732751e-22
relative error = 3.3603802152600554382423097015172e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1902
y[1] (analytic) = 4.2877386893706020430594174148563
y[1] (numeric) = 4.2877386893706020430595616624592
absolute error = 1.442476029e-22
relative error = 3.3641882901491399506398792550834e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1903
y[1] (analytic) = 4.2880674796787805202641471940701
y[1] (numeric) = 4.2880674796787805202642916160342
absolute error = 1.444219641e-22
relative error = 3.3679965342060955846874493221350e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1904
y[1] (analytic) = 4.2883963028676338216572445157153
y[1] (numeric) = 4.2883963028676338216573891120741
absolute error = 1.445963588e-22
relative error = 3.3718049496337122775707704066079e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1905
y[1] (analytic) = 4.2887251589404501791299825869644
y[1] (numeric) = 4.2887251589404501791301273577512
absolute error = 1.447707868e-22
relative error = 3.3756135316389989217155869612052e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1906
y[1] (analytic) = 4.289054047900518153413265449819
y[1] (numeric) = 4.2890540479005181534134103950674
absolute error = 1.449452484e-22
relative error = 3.3794222870879968844626412387879e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1907
y[1] (analytic) = 4.2893829697511266341105135884469
y[1] (numeric) = 4.2893829697511266341106587081903
absolute error = 1.451197434e-22
relative error = 3.3832312111879336666249469649253e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1908
y[1] (analytic) = 4.2897119244955648397305528252432
y[1] (numeric) = 4.289711924495564839730698119515
absolute error = 1.452942718e-22
relative error = 3.3870403038098047151479468849656e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1909
y[1] (analytic) = 4.2900409121371223177205065059461
y[1] (numeric) = 4.2900409121371223177206519747798
absolute error = 1.454688337e-22
relative error = 3.3908495671556054494591838772218e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.191
y[1] (analytic) = 4.2903699326790889444986909741357
y[1] (numeric) = 4.2903699326790889444988366175648
absolute error = 1.456434291e-22
relative error = 3.3946590010958347826713346709428e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1911
y[1] (analytic) = 4.2906989861247549254875143354446
y[1] (numeric) = 4.2906989861247549254876601535025
absolute error = 1.458180579e-22
relative error = 3.3984686031703889615713585740397e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1912
y[1] (analytic) = 4.2910280724774107951463785118091
y[1] (numeric) = 4.2910280724774107951465245045293
absolute error = 1.459927202e-22
relative error = 3.4022783755807868262775251145371e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1913
y[1] (analytic) = 4.2913571917403474170045845860909
y[1] (numeric) = 4.2913571917403474170047307535068
absolute error = 1.461674159e-22
relative error = 3.4060883158673219176590636308178e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1914
y[1] (analytic) = 4.2916863439168559836942414373975
y[1] (numeric) = 4.2916863439168559836943877795425
absolute error = 1.463421450e-22
relative error = 3.4098984239011089879772943231722e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1915
y[1] (analytic) = 4.2920155290102280169831776674304
y[1] (numeric) = 4.2920155290102280169833241843382
absolute error = 1.465169078e-22
relative error = 3.4137087065430057369612691979728e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1916
y[1] (analytic) = 4.2923447470237553678078568181916
y[1] (numeric) = 4.2923447470237553678080035098955
absolute error = 1.466917039e-22
relative error = 3.4175191543436423736767877515407e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1917
y[1] (analytic) = 4.2926739979607302163062958813746
y[1] (numeric) = 4.2926739979607302163064427479083
absolute error = 1.468665337e-22
relative error = 3.4213297764929306146363706334728e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1918
y[1] (analytic) = 4.2930032818244450718509870997731
y[1] (numeric) = 4.2930032818244450718511341411699
absolute error = 1.470413968e-22
relative error = 3.4251405635429701275343808774437e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=91.5MB, alloc=4.2MB, time=4.36
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1919
y[1] (analytic) = 4.2933325986181927730818230610323
y[1] (numeric) = 4.2933325986181927730819702773258
absolute error = 1.472162935e-22
relative error = 3.4289515223530899968801821908184e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.192
y[1] (analytic) = 4.2936619483452664879390250840762
y[1] (numeric) = 4.2936619483452664879391724752999
absolute error = 1.473912237e-22
relative error = 3.4327626504644380297975625179695e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1921
y[1] (analytic) = 4.2939913310089597136960748985366
y[1] (numeric) = 4.2939913310089597136962224647241
absolute error = 1.475661875e-22
relative error = 3.4365739500765678842754805645691e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1922
y[1] (analytic) = 4.2943207466125662769926496175158
y[1] (numeric) = 4.2943207466125662769927973587005
absolute error = 1.477411847e-22
relative error = 3.4403854164023676106783745788338e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1923
y[1] (analytic) = 4.2946501951593803338675600040104
y[1] (numeric) = 4.2946501951593803338677079202259
absolute error = 1.479162155e-22
relative error = 3.4441970539700877136589656141256e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1924
y[1] (analytic) = 4.2949796766526963697916920313272
y[1] (numeric) = 4.294979676652696369791840122607
absolute error = 1.480912798e-22
relative error = 3.4480088603216703868422348333904e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1925
y[1] (analytic) = 4.2953091910958091997009517378195
y[1] (numeric) = 4.2953091910958091997011000041971
absolute error = 1.482663776e-22
relative error = 3.4518208353279133726175946210861e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1926
y[1] (analytic) = 4.2956387384920139680292133762733
y[1] (numeric) = 4.2956387384920139680293618177823
absolute error = 1.484415090e-22
relative error = 3.4556329811875768368846664082853e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1927
y[1] (analytic) = 4.2959683188446061487412708582739
y[1] (numeric) = 4.2959683188446061487414194749479
absolute error = 1.486166740e-22
relative error = 3.4594452977709625721379838934520e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1928
y[1] (analytic) = 4.2962979321568815453657924938811
y[1] (numeric) = 4.2962979321568815453659412857536
absolute error = 1.487918725e-22
relative error = 3.4632577826208070262531178536797e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1929
y[1] (analytic) = 4.2966275784321362910282790269433
y[1] (numeric) = 4.2966275784321362910284279940478
absolute error = 1.489671045e-22
relative error = 3.4670704356079876749379660798508e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.193
y[1] (analytic) = 4.2969572576736668484840249663801
y[1] (numeric) = 4.2969572576736668484841741087501
absolute error = 1.491423700e-22
relative error = 3.4708832566034019116304225542656e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1931
y[1] (analytic) = 4.2972869698847700101510832137625
y[1] (numeric) = 4.2972869698847700101512325314317
absolute error = 1.493176692e-22
relative error = 3.4746962501320662821898504069552e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1932
y[1] (analytic) = 4.2976167150687428981432329875213
y[1] (numeric) = 4.2976167150687428981433824805232
absolute error = 1.494930019e-22
relative error = 3.4785094114101045844059543707512e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1933
y[1] (analytic) = 4.297946493228882964302951044112
y[1] (numeric) = 4.2979464932288829643031007124802
absolute error = 1.496683682e-22
relative error = 3.4823227426351665490606377818397e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1934
y[1] (analytic) = 4.2982763043684879902343861964672
y[1] (numeric) = 4.2982763043684879902345360402353
absolute error = 1.498437681e-22
relative error = 3.4861362436776937041420951482422e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1935
y[1] (analytic) = 4.2986061484908560873363371300656
y[1] (numeric) = 4.2986061484908560873364871492671
absolute error = 1.500192015e-22
relative error = 3.4899499120818120695517434425277e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1936
y[1] (analytic) = 4.2989360255992856968352335169473
y[1] (numeric) = 4.2989360255992856968353837116158
absolute error = 1.501946685e-22
relative error = 3.4937637500446956189530143032437e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1937
y[1] (analytic) = 4.2992659356970755898181204280057
y[1] (numeric) = 4.2992659356970755898182707981749
absolute error = 1.503701692e-22
relative error = 3.4975777597628242366864865690398e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1938
y[1] (analytic) = 4.2995958787875248672656460438855
y[1] (numeric) = 4.299595878787524867265796589589
absolute error = 1.505457035e-22
relative error = 3.5013919387803838568492959989521e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1939
y[1] (analytic) = 4.2999258548739329600850526648168
y[1] (numeric) = 4.2999258548739329600852033860881
absolute error = 1.507212713e-22
relative error = 3.5052062846422943682586183511235e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.194
y[1] (analytic) = 4.3002558639595996291431710197145
y[1] (numeric) = 4.3002558639595996291433219165872
absolute error = 1.508968727e-22
relative error = 3.5090207995450955663520835573334e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1941
y[1] (analytic) = 4.3005859060478249652994178748746
y[1] (numeric) = 4.3005859060478249652995689473824
absolute error = 1.510725078e-22
relative error = 3.5128354856846333079143399571713e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1942
y[1] (analytic) = 4.3009159811419093894387969425957
y[1] (numeric) = 4.3009159811419093894389481907722
absolute error = 1.512481765e-22
relative error = 3.5166503406058873897576101505994e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1943
y[1] (analytic) = 4.3012460892451536525049030900566
y[1] (numeric) = 4.3012460892451536525050545139354
absolute error = 1.514238788e-22
relative error = 3.5204653641794790731524677664049e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1944
y[1] (analytic) = 4.3015762303608588355329298487795
y[1] (numeric) = 4.3015762303608588355330814483943
absolute error = 1.515996148e-22
relative error = 3.5242805586007788176595860119431e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1945
y[1] (analytic) = 4.30190640449232634968268022501
y[1] (numeric) = 4.3019064044923263496828320003944
absolute error = 1.517753844e-22
relative error = 3.5280959214153617400922009284369e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1946
y[1] (analytic) = 4.302236611642857936271580811342
y[1] (numeric) = 4.3022366116428579362717327625296
absolute error = 1.519511876e-22
relative error = 3.5319114524939090321352398089138e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1947
y[1] (analytic) = 4.3025668518157556668076991999198
y[1] (numeric) = 4.3025668518157556668078513269443
absolute error = 1.521270245e-22
relative error = 3.5357271540313158373778154157907e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1948
y[1] (analytic) = 4.3028971250143219430227646975463
y[1] (numeric) = 4.3028971250143219430229170004414
absolute error = 1.523028951e-22
relative error = 3.5395430258977680918775086948248e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1949
y[1] (analytic) = 4.3032274312418594969051923430279
y[1] (numeric) = 4.3032274312418594969053448218272
absolute error = 1.524787993e-22
relative error = 3.5433590656396345506168868756563e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.195
y[1] (analytic) = 4.3035577705016713907331102270859
y[1] (numeric) = 4.303557770501671390733262881823
absolute error = 1.526547371e-22
relative error = 3.5471752731276763243161804938229e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1951
y[1] (analytic) = 4.3038881427970610171073901151655
y[1] (numeric) = 4.3038881427970610171075429458741
absolute error = 1.528307086e-22
relative error = 3.5509916505561549474089145878419e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1952
y[1] (analytic) = 4.3042185481313320989846813734719
y[1] (numeric) = 4.3042185481313320989848343801857
absolute error = 1.530067138e-22
relative error = 3.5548081977953363853901560946614e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1953
y[1] (analytic) = 4.3045489865077886897104481985647
y[1] (numeric) = 4.3045489865077886897106013813173
absolute error = 1.531827526e-22
relative error = 3.5586249123923828703212981371138e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1954
y[1] (analytic) = 4.3048794579297351730520101508394
y[1] (numeric) = 4.3048794579297351730521635096646
absolute error = 1.533588252e-22
relative error = 3.5624417988640262541143298293843e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1955
y[1] (analytic) = 4.305209962400476263231585992229
y[1] (numeric) = 4.3052099624004762632317395271604
absolute error = 1.535349314e-22
relative error = 3.5662588524345233736733739426943e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1956
y[1] (analytic) = 4.3055404999233170049593408284528
y[1] (numeric) = 4.3055404999233170049594945395241
absolute error = 1.537110713e-22
relative error = 3.5700760752973439980362052543454e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1957
y[1] (analytic) = 4.3058710705015627734664365561464
y[1] (numeric) = 4.3058710705015627734665904433913
absolute error = 1.538872449e-22
relative error = 3.5738934673228541607159570200379e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=95.3MB, alloc=4.2MB, time=4.54
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1958
y[1] (analytic) = 4.3062016741385192745380856152004
y[1] (numeric) = 4.3062016741385192745382396786526
absolute error = 1.540634522e-22
relative error = 3.5777110283814399129885468314604e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1959
y[1] (analytic) = 4.3065323108374925445466080466401
y[1] (numeric) = 4.3065323108374925445467622863333
absolute error = 1.542396932e-22
relative error = 3.5815287583435073233684951471515e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.196
y[1] (analytic) = 4.3068629806017889504844918563765
y[1] (numeric) = 4.3068629806017889504846462723444
absolute error = 1.544159679e-22
relative error = 3.5853466570794824770842969599024e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1961
y[1] (analytic) = 4.3071936834347151899974566851585
y[1] (numeric) = 4.3071936834347151899976112774348
absolute error = 1.545922763e-22
relative error = 3.5891647244598114755533466877424e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1962
y[1] (analytic) = 4.3075244193395782914175207850576
y[1] (numeric) = 4.3075244193395782914176755536761
absolute error = 1.547686185e-22
relative error = 3.5929829626764794863585564372051e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1963
y[1] (analytic) = 4.307855188319685613796071302816
y[1] (numeric) = 4.3078551883196856137962262478103
absolute error = 1.549449943e-22
relative error = 3.5968013669567562880904066897308e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1964
y[1] (analytic) = 4.3081859903783448469369378703876
y[1] (numeric) = 4.3081859903783448469370929917915
absolute error = 1.551214039e-22
relative error = 3.6006199418140078950575420821011e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1965
y[1] (analytic) = 4.3085168255188640114294695030042
y[1] (numeric) = 4.3085168255188640114296248008514
absolute error = 1.552978472e-22
relative error = 3.6044386847972414463194169123056e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1966
y[1] (analytic) = 4.3088476937445514586816148050964
y[1] (numeric) = 4.3088476937445514586817702794206
absolute error = 1.554743242e-22
relative error = 3.6082575957770031449949456052032e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1967
y[1] (analytic) = 4.3091785950587158709530054844006
y[1] (numeric) = 4.3091785950587158709531611352356
absolute error = 1.556508350e-22
relative error = 3.6120766769444870901119303957734e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1968
y[1] (analytic) = 4.3095095294646662613880431745829
y[1] (numeric) = 4.3095095294646662613881990019625
absolute error = 1.558273796e-22
relative error = 3.6158959281697448956932370971597e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1969
y[1] (analytic) = 4.309840496965711974048989566711
y[1] (numeric) = 4.3098404969657119740491455706689
absolute error = 1.560039579e-22
relative error = 3.6197153470025767623560605954434e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.197
y[1] (analytic) = 4.3101714975651626839490598499039
y[1] (numeric) = 4.3101714975651626839492160304739
absolute error = 1.561805700e-22
relative error = 3.6235349356337022963692233294973e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1971
y[1] (analytic) = 4.310502531266328397085519461492
y[1] (numeric) = 4.3105025312663283970856758187079
absolute error = 1.563572159e-22
relative error = 3.6273546939332332893378196540857e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1972
y[1] (analytic) = 4.3108335980725194504727841470172
y[1] (numeric) = 4.3108335980725194504729406809127
absolute error = 1.565338955e-22
relative error = 3.6311746194515646465523004015208e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1973
y[1] (analytic) = 4.3111646979870465121755233304047
y[1] (numeric) = 4.3111646979870465121756800410136
absolute error = 1.567106089e-22
relative error = 3.6349947143789415627133493169817e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1974
y[1] (analytic) = 4.3114958310132205813417667946372
y[1] (numeric) = 4.3114958310132205813419236819932
absolute error = 1.568873560e-22
relative error = 3.6388149762661553529445205869391e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1975
y[1] (analytic) = 4.3118269971543529882360146732627
y[1] (numeric) = 4.3118269971543529882361717373997
absolute error = 1.570641370e-22
relative error = 3.6426354096223374843975617075811e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1976
y[1] (analytic) = 4.3121581964137553942723507530675
y[1] (numeric) = 4.3121581964137553942725079940193
absolute error = 1.572409518e-22
relative error = 3.6464560119981412562858872667255e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1977
y[1] (analytic) = 4.3124894287947397920475590882443
y[1] (numeric) = 4.3124894287947397920477165060446
absolute error = 1.574178003e-22
relative error = 3.6502767809449525658514321577194e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1978
y[1] (analytic) = 4.3128206943006185053742439263875
y[1] (numeric) = 4.3128206943006185053744015210701
absolute error = 1.575946826e-22
relative error = 3.6540977186522261213503937269982e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1979
y[1] (analytic) = 4.3131519929347041893139529466472
y[1] (numeric) = 4.313151992934704189314110718246
absolute error = 1.577715988e-22
relative error = 3.6579188273087242384256217659551e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.198
y[1] (analytic) = 4.3134833247003098302103038103722
y[1] (numeric) = 4.3134833247003098302104617589209
absolute error = 1.579485487e-22
relative error = 3.6617401021475810418111093616978e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1981
y[1] (analytic) = 4.3138146896007487457221140245736
y[1] (numeric) = 4.313814689600748745722272150106
absolute error = 1.581255324e-22
relative error = 3.6655615453577770733162574771359e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1982
y[1] (analytic) = 4.3141460876393345848565341185407
y[1] (numeric) = 4.3141460876393345848566924210907
absolute error = 1.583025500e-22
relative error = 3.6693831591276005951533272222240e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1983
y[1] (analytic) = 4.3144775188193813280021841339403
y[1] (numeric) = 4.3144775188193813280023426135417
absolute error = 1.584796014e-22
relative error = 3.6732049410090921830622888450028e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1984
y[1] (analytic) = 4.3148089831442032869622934287301
y[1] (numeric) = 4.3148089831442032869624520854167
absolute error = 1.586566866e-22
relative error = 3.6770268908726244385144373224671e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1985
y[1] (analytic) = 4.315140480617115104987843795219
y[1] (numeric) = 4.3151404806171151049880026290247
absolute error = 1.588338057e-22
relative error = 3.6808490109060116801088097162582e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1986
y[1] (analytic) = 4.3154720112414317568107158926044
y[1] (numeric) = 4.315472011241431756810874903563
absolute error = 1.590109586e-22
relative error = 3.6846712986618889080529916869396e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1987
y[1] (analytic) = 4.3158035750204685486768389943185
y[1] (numeric) = 4.3158035750204685486769981824638
absolute error = 1.591881453e-22
relative error = 3.6884937540106889331847813806131e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1988
y[1] (analytic) = 4.3161351719575411183793440505155
y[1] (numeric) = 4.3161351719575411183795034158813
absolute error = 1.593653658e-22
relative error = 3.6923163768228646255079638858604e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1989
y[1] (analytic) = 4.3164668020559654352917200660302
y[1] (numeric) = 4.3164668020559654352918796086505
absolute error = 1.595426203e-22
relative error = 3.6961391716023080773279393840341e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.199
y[1] (analytic) = 4.3167984653190578004009737941409
y[1] (numeric) = 4.3167984653190578004011335140495
absolute error = 1.597199086e-22
relative error = 3.6999621335853811327027874878465e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1991
y[1] (analytic) = 4.3171301617501348463407927464668
y[1] (numeric) = 4.3171301617501348463409526436976
absolute error = 1.598972308e-22
relative error = 3.7037852649589504951205304465807e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.477e-16
Order of pole = 0.5
x[1] = 1.1992
y[1] (analytic) = 4.3174618913525135374247115193327
y[1] (numeric) = 4.3174618913525135374248715939195
absolute error = 1.600745868e-22
relative error = 3.7076085632768397700196698358044e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1993
y[1] (analytic) = 4.3177936541295111696792814369319
y[1] (numeric) = 4.3177936541295111696794416889085
absolute error = 1.602519766e-22
relative error = 3.7114320284096022011559342401984e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1994
y[1] (analytic) = 4.3181254500844453708772435116192
y[1] (numeric) = 4.3181254500844453708774039410196
absolute error = 1.604294004e-22
relative error = 3.7152556648594504954637581867635e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1995
y[1] (analytic) = 4.3184572792206341005707047216663
y[1] (numeric) = 4.3184572792206341005708653285244
absolute error = 1.606068581e-22
relative error = 3.7190794701802685695031518204641e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1996
y[1] (analytic) = 4.3187891415413956501243176068104
y[1] (numeric) = 4.31878914154139565012447839116
absolute error = 1.607843496e-22
relative error = 3.7229034419266722590631913357589e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=99.1MB, alloc=4.2MB, time=4.72
NO POLE
x[1] = 1.1997
y[1] (analytic) = 4.3191210370500486427484631819281
y[1] (numeric) = 4.3191210370500486427486241438032
absolute error = 1.609618751e-22
relative error = 3.7267275845998668970613333062452e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1998
y[1] (analytic) = 4.3194529657499120335324371691673
y[1] (numeric) = 4.3194529657499120335325983086018
absolute error = 1.611394345e-22
relative error = 3.7305518957543306046062204029437e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.602e-16
Order of pole = 0.5
x[1] = 1.1999
y[1] (analytic) = 4.3197849276443051094776395488675
y[1] (numeric) = 4.3197849276443051094778008658953
absolute error = 1.613170278e-22
relative error = 3.7343763752602033700061715866868e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.2
y[1] (analytic) = 4.3201169227365474895307674296016
y[1] (numeric) = 4.3201169227365474895309289242566
absolute error = 1.614946550e-22
relative error = 3.7382010229876452915959072355281e-21 %
h = 0.0001
Finished!
Maximum Iterations Reached before Solution Completed!
diff ( y , x , 1 ) = y - 1.0;
Iterations = 1000
Total Elapsed Time = 4 Seconds
Elapsed Time(since restart) = 4 Seconds
Expected Time Remaining = 2 Minutes 58 Seconds
Optimized Time Remaining = 2 Minutes 58 Seconds
Time to Timeout = 14 Minutes 55 Seconds
Percent Done = 2.567 %
> quit
memory used=99.6MB, alloc=4.2MB, time=4.74