|\^/| Maple 12 (IBM INTEL LINUX) ._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008 \ MAPLE / All rights reserved. Maple is a trademark of <____ ____> Waterloo Maple Inc. | Type ? for help. > #BEGIN OUTFILE1 > > # Begin Function number 3 > display_alot := proc(iter) > global > DEBUGMASSIVE, > ALWAYS, > glob_iolevel, > glob_max_terms, > DEBUGL, > INFO, > #Top Generate Globals Decl > glob_start, > glob_initial_pass, > glob_log10normmin, > glob_max_hours, > glob_log10_abserr, > glob_dump_analytic, > glob_not_yet_finished, > days_in_year, > djd_debug, > glob_max_opt_iter, > glob_normmax, > glob_hmin_init, > glob_not_yet_start_msg, > glob_clock_sec, > glob_almost_1, > glob_orig_start_sec, > glob_smallish_float, > centuries_in_millinium, > glob_log10abserr, > glob_iter, > glob_optimal_clock_start_sec, > glob_max_rel_trunc_err, > glob_disp_incr, > glob_optimal_start, > glob_large_float, > glob_reached_optimal_h, > years_in_century, > sec_in_min, > glob_dump, > glob_html_log, > glob_max_sec, > glob_max_iter, > glob_relerr, > glob_last_good_h, > glob_hmin, > glob_optimal_done, > min_in_hour, > djd_debug2, > glob_subiter_method, > glob_max_minutes, > glob_log10relerr, > MAX_UNCHANGED, > glob_warned2, > glob_warned, > glob_unchanged_h_cnt, > glob_small_float, > glob_no_eqs, > glob_clock_start_sec, > glob_optimal_expect_sec, > glob_percent_done, > glob_log10_relerr, > glob_look_poles, > glob_display_flag, > glob_curr_iter_when_opt, > glob_max_trunc_err, > glob_abserr, > glob_hmax, > glob_h, > glob_current_iter, > hours_in_day, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1D0, > array_const_1, > array_const_0D0, > #END CONST > array_last_rel_error, > array_pole, > array_fact_1, > array_norms, > array_1st_rel_error, > array_tmp0, > array_tmp1, > array_tmp2, > array_m1, > array_y, > array_x, > array_type_pole, > array_y_init, > array_real_pole, > array_y_higher, > array_fact_2, > array_complex_pole, > array_poles, > array_y_higher_work, > array_y_set_initial, > array_y_higher_work2, > glob_last; > > local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; > #TOP DISPLAY ALOT > if (iter >= 0) then # if number 1 > ind_var := array_x[1]; > omniout_float(ALWAYS,"x[1] ",33,ind_var,20," "); > analytic_val_y := exact_soln_y(ind_var); > omniout_float(ALWAYS,"y[1] (analytic) ",33,analytic_val_y,20," "); > term_no := 1; > numeric_val := array_y[term_no]; > abserr := abs(numeric_val - analytic_val_y); > omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," "); > if (abs(analytic_val_y) <> 0.0) then # if number 2 > relerr := abserr*100.0/abs(analytic_val_y); > else > relerr := -1.0 ; > fi;# end if 2 > ; > if glob_iter = 1 then # if number 2 > array_1st_rel_error[1] := relerr; > else > array_last_rel_error[1] := relerr; > fi;# end if 2 > ; > omniout_float(ALWAYS,"absolute error ",4,abserr,20," "); > omniout_float(ALWAYS,"relative error ",4,relerr,20,"%"); > omniout_float(ALWAYS,"h ",4,glob_h,20," "); > #BOTTOM DISPLAY ALOT > fi;# end if 1 > ; > # End Function number 3 > end; display_alot := proc(iter) local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; global DEBUGMASSIVE, ALWAYS, glob_iolevel, glob_max_terms, DEBUGL, INFO, glob_start, glob_initial_pass, glob_log10normmin, glob_max_hours, glob_log10_abserr, glob_dump_analytic, glob_not_yet_finished, days_in_year, djd_debug, glob_max_opt_iter, glob_normmax, glob_hmin_init, glob_not_yet_start_msg, glob_clock_sec, glob_almost_1, glob_orig_start_sec, glob_smallish_float, centuries_in_millinium, glob_log10abserr, glob_iter, glob_optimal_clock_start_sec, glob_max_rel_trunc_err, glob_disp_incr, glob_optimal_start, glob_large_float, glob_reached_optimal_h, years_in_century, sec_in_min, glob_dump, glob_html_log, glob_max_sec, glob_max_iter, glob_relerr, glob_last_good_h, glob_hmin, glob_optimal_done, min_in_hour, djd_debug2, glob_subiter_method, glob_max_minutes, glob_log10relerr, MAX_UNCHANGED, glob_warned2, glob_warned, glob_unchanged_h_cnt, glob_small_float, glob_no_eqs, glob_clock_start_sec, glob_optimal_expect_sec, glob_percent_done, glob_log10_relerr, glob_look_poles, glob_display_flag, glob_curr_iter_when_opt, glob_max_trunc_err, glob_abserr, glob_hmax, glob_h, glob_current_iter, hours_in_day, array_const_1D0, array_const_1, array_const_0D0, array_last_rel_error, array_pole, array_fact_1, array_norms, array_1st_rel_error, array_tmp0, array_tmp1, array_tmp2, array_m1, array_y, array_x, array_type_pole, array_y_init, array_real_pole, array_y_higher, array_fact_2, array_complex_pole, array_poles, array_y_higher_work, array_y_set_initial, array_y_higher_work2, glob_last; if 0 <= iter then ind_var := array_x[1]; omniout_float(ALWAYS, "x[1] ", 33, ind_var, 20, " "); analytic_val_y := exact_soln_y(ind_var); omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y, 20, " "); term_no := 1; numeric_val := array_y[term_no]; abserr := abs(numeric_val - analytic_val_y); omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, 20, " "); if abs(analytic_val_y) <> 0. then relerr := abserr*100.0/abs(analytic_val_y) else relerr := -1.0 end if; if glob_iter = 1 then array_1st_rel_error[1] := relerr else array_last_rel_error[1] := relerr end if; omniout_float(ALWAYS, "absolute error ", 4, abserr, 20, " "); omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"); omniout_float(ALWAYS, "h ", 4, glob_h, 20, " ") end if end proc > # Begin Function number 4 > adjust_for_pole := proc(h_param) > global > DEBUGMASSIVE, > ALWAYS, > glob_iolevel, > glob_max_terms, > DEBUGL, > INFO, > #Top Generate Globals Decl > glob_start, > glob_initial_pass, > glob_log10normmin, > glob_max_hours, > glob_log10_abserr, > glob_dump_analytic, > glob_not_yet_finished, > days_in_year, > djd_debug, > glob_max_opt_iter, > glob_normmax, > glob_hmin_init, > glob_not_yet_start_msg, > glob_clock_sec, > glob_almost_1, > glob_orig_start_sec, > glob_smallish_float, > centuries_in_millinium, > glob_log10abserr, > glob_iter, > glob_optimal_clock_start_sec, > glob_max_rel_trunc_err, > glob_disp_incr, > glob_optimal_start, > glob_large_float, > glob_reached_optimal_h, > years_in_century, > sec_in_min, > glob_dump, > glob_html_log, > glob_max_sec, > glob_max_iter, > glob_relerr, > glob_last_good_h, > glob_hmin, > glob_optimal_done, > min_in_hour, > djd_debug2, > glob_subiter_method, > glob_max_minutes, > glob_log10relerr, > MAX_UNCHANGED, > glob_warned2, > glob_warned, > glob_unchanged_h_cnt, > glob_small_float, > glob_no_eqs, > glob_clock_start_sec, > glob_optimal_expect_sec, > glob_percent_done, > glob_log10_relerr, > glob_look_poles, > glob_display_flag, > glob_curr_iter_when_opt, > glob_max_trunc_err, > glob_abserr, > glob_hmax, > glob_h, > glob_current_iter, > hours_in_day, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1D0, > array_const_1, > array_const_0D0, > #END CONST > array_last_rel_error, > array_pole, > array_fact_1, > array_norms, > array_1st_rel_error, > array_tmp0, > array_tmp1, > array_tmp2, > array_m1, > array_y, > array_x, > array_type_pole, > array_y_init, > array_real_pole, > array_y_higher, > array_fact_2, > array_complex_pole, > array_poles, > array_y_higher_work, > array_y_set_initial, > array_y_higher_work2, > glob_last; > > local hnew, sz2, tmp; > #TOP ADJUST FOR POLE > > hnew := h_param; > glob_normmax := glob_small_float; > if (abs(array_y_higher[1,1]) > glob_small_float) then # if number 1 > tmp := abs(array_y_higher[1,1]); > if (tmp < glob_normmax) then # if number 2 > glob_normmax := tmp; > fi;# end if 2 > fi;# end if 1 > ; > if (glob_look_poles and (abs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1 > sz2 := array_pole[1]/10.0; > if (sz2 < hnew) then # if number 2 > omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity."); > omniout_str(INFO,"Reached Optimal"); > newline(); > return(hnew); > fi;# end if 2 > fi;# end if 1 > ; > if (not glob_reached_optimal_h) then # if number 1 > glob_reached_optimal_h := true; > glob_curr_iter_when_opt := glob_current_iter; > glob_optimal_clock_start_sec := elapsed_time_seconds(); > glob_optimal_start := array_x[1]; > fi;# end if 1 > ; > hnew := sz2; > #END block > #BOTTOM ADJUST FOR POLE > # End Function number 4 > end; adjust_for_pole := proc(h_param) local hnew, sz2, tmp; global DEBUGMASSIVE, ALWAYS, glob_iolevel, glob_max_terms, DEBUGL, INFO, glob_start, glob_initial_pass, glob_log10normmin, glob_max_hours, glob_log10_abserr, glob_dump_analytic, glob_not_yet_finished, days_in_year, djd_debug, glob_max_opt_iter, glob_normmax, glob_hmin_init, glob_not_yet_start_msg, glob_clock_sec, glob_almost_1, glob_orig_start_sec, glob_smallish_float, centuries_in_millinium, glob_log10abserr, glob_iter, glob_optimal_clock_start_sec, glob_max_rel_trunc_err, glob_disp_incr, glob_optimal_start, glob_large_float, glob_reached_optimal_h, years_in_century, sec_in_min, glob_dump, glob_html_log, glob_max_sec, glob_max_iter, glob_relerr, glob_last_good_h, glob_hmin, glob_optimal_done, min_in_hour, djd_debug2, glob_subiter_method, glob_max_minutes, glob_log10relerr, MAX_UNCHANGED, glob_warned2, glob_warned, glob_unchanged_h_cnt, glob_small_float, glob_no_eqs, glob_clock_start_sec, glob_optimal_expect_sec, glob_percent_done, glob_log10_relerr, glob_look_poles, glob_display_flag, glob_curr_iter_when_opt, glob_max_trunc_err, glob_abserr, glob_hmax, glob_h, glob_current_iter, hours_in_day, array_const_1D0, array_const_1, array_const_0D0, array_last_rel_error, array_pole, array_fact_1, array_norms, array_1st_rel_error, array_tmp0, array_tmp1, array_tmp2, array_m1, array_y, array_x, array_type_pole, array_y_init, array_real_pole, array_y_higher, array_fact_2, array_complex_pole, array_poles, array_y_higher_work, array_y_set_initial, array_y_higher_work2, glob_last; hnew := h_param; glob_normmax := glob_small_float; if glob_small_float < abs(array_y_higher[1, 1]) then tmp := abs(array_y_higher[1, 1]); if tmp < glob_normmax then glob_normmax := tmp end if end if; if glob_look_poles and glob_small_float < abs(array_pole[1]) and array_pole[1] <> glob_large_float then sz2 := array_pole[1]/10.0; if sz2 < hnew then omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."); omniout_str(INFO, "Reached Optimal"); newline(); return hnew end if end if; if not glob_reached_optimal_h then glob_reached_optimal_h := true; glob_curr_iter_when_opt := glob_current_iter; glob_optimal_clock_start_sec := elapsed_time_seconds(); glob_optimal_start := array_x[1] end if; hnew := sz2 end proc > # Begin Function number 5 > prog_report := proc(x_start,x_end) > global > DEBUGMASSIVE, > ALWAYS, > glob_iolevel, > glob_max_terms, > DEBUGL, > INFO, > #Top Generate Globals Decl > glob_start, > glob_initial_pass, > glob_log10normmin, > glob_max_hours, > glob_log10_abserr, > glob_dump_analytic, > glob_not_yet_finished, > days_in_year, > djd_debug, > glob_max_opt_iter, > glob_normmax, > glob_hmin_init, > glob_not_yet_start_msg, > glob_clock_sec, > glob_almost_1, > glob_orig_start_sec, > glob_smallish_float, > centuries_in_millinium, > glob_log10abserr, > glob_iter, > glob_optimal_clock_start_sec, > glob_max_rel_trunc_err, > glob_disp_incr, > glob_optimal_start, > glob_large_float, > glob_reached_optimal_h, > years_in_century, > sec_in_min, > glob_dump, > glob_html_log, > glob_max_sec, > glob_max_iter, > glob_relerr, > glob_last_good_h, > glob_hmin, > glob_optimal_done, > min_in_hour, > djd_debug2, > glob_subiter_method, > glob_max_minutes, > glob_log10relerr, > MAX_UNCHANGED, > glob_warned2, > glob_warned, > glob_unchanged_h_cnt, > glob_small_float, > glob_no_eqs, > glob_clock_start_sec, > glob_optimal_expect_sec, > glob_percent_done, > glob_log10_relerr, > glob_look_poles, > glob_display_flag, > glob_curr_iter_when_opt, > glob_max_trunc_err, > glob_abserr, > glob_hmax, > glob_h, > glob_current_iter, > hours_in_day, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1D0, > array_const_1, > array_const_0D0, > #END CONST > array_last_rel_error, > array_pole, > array_fact_1, > array_norms, > array_1st_rel_error, > array_tmp0, > array_tmp1, > array_tmp2, > array_m1, > array_y, > array_x, > array_type_pole, > array_y_init, > array_real_pole, > array_y_higher, > array_fact_2, > array_complex_pole, > array_poles, > array_y_higher_work, > array_y_set_initial, > array_y_higher_work2, > glob_last; > > local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; > #TOP PROGRESS REPORT > clock_sec1 := elapsed_time_seconds(); > total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec); > glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec); > left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1); > expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h) ,convfloat( clock_sec1) - convfloat(glob_orig_start_sec)); > opt_clock_sec := convfloat( clock_sec1) - convfloat(glob_optimal_clock_start_sec); > glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec)); > percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h)); > glob_percent_done := percent_done; > omniout_str_noeol(INFO,"Total Elapsed Time "); > omniout_timestr(convfloat(total_clock_sec)); > omniout_str_noeol(INFO,"Elapsed Time(since restart) "); > omniout_timestr(convfloat(glob_clock_sec)); > if convfloat(percent_done) < convfloat(100.0) then # if number 1 > omniout_str_noeol(INFO,"Expected Time Remaining "); > omniout_timestr(convfloat(expect_sec)); > omniout_str_noeol(INFO,"Optimized Time Remaining "); > omniout_timestr(convfloat(glob_optimal_expect_sec)); > fi;# end if 1 > ; > omniout_str_noeol(INFO,"Time to Timeout "); > omniout_timestr(convfloat(left_sec)); > omniout_float(INFO, "Percent Done ",33,percent_done,4,"%"); > #BOTTOM PROGRESS REPORT > # End Function number 5 > end; prog_report := proc(x_start, x_end) local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; global DEBUGMASSIVE, ALWAYS, glob_iolevel, glob_max_terms, DEBUGL, INFO, glob_start, glob_initial_pass, glob_log10normmin, glob_max_hours, glob_log10_abserr, glob_dump_analytic, glob_not_yet_finished, days_in_year, djd_debug, glob_max_opt_iter, glob_normmax, glob_hmin_init, glob_not_yet_start_msg, glob_clock_sec, glob_almost_1, glob_orig_start_sec, glob_smallish_float, centuries_in_millinium, glob_log10abserr, glob_iter, glob_optimal_clock_start_sec, glob_max_rel_trunc_err, glob_disp_incr, glob_optimal_start, glob_large_float, glob_reached_optimal_h, years_in_century, sec_in_min, glob_dump, glob_html_log, glob_max_sec, glob_max_iter, glob_relerr, glob_last_good_h, glob_hmin, glob_optimal_done, min_in_hour, djd_debug2, glob_subiter_method, glob_max_minutes, glob_log10relerr, MAX_UNCHANGED, glob_warned2, glob_warned, glob_unchanged_h_cnt, glob_small_float, glob_no_eqs, glob_clock_start_sec, glob_optimal_expect_sec, glob_percent_done, glob_log10_relerr, glob_look_poles, glob_display_flag, glob_curr_iter_when_opt, glob_max_trunc_err, glob_abserr, glob_hmax, glob_h, glob_current_iter, hours_in_day, array_const_1D0, array_const_1, array_const_0D0, array_last_rel_error, array_pole, array_fact_1, array_norms, array_1st_rel_error, array_tmp0, array_tmp1, array_tmp2, array_m1, array_y, array_x, array_type_pole, array_y_init, array_real_pole, array_y_higher, array_fact_2, array_complex_pole, array_poles, array_y_higher_work, array_y_set_initial, array_y_higher_work2, glob_last; clock_sec1 := elapsed_time_seconds(); total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec); glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec); left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1); expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h), convfloat(clock_sec1) - convfloat(glob_orig_start_sec)); opt_clock_sec := convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec); glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h), convfloat(opt_clock_sec)); percent_done := comp_percent(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h)); glob_percent_done := percent_done; omniout_str_noeol(INFO, "Total Elapsed Time "); omniout_timestr(convfloat(total_clock_sec)); omniout_str_noeol(INFO, "Elapsed Time(since restart) "); omniout_timestr(convfloat(glob_clock_sec)); if convfloat(percent_done) < convfloat(100.0) then omniout_str_noeol(INFO, "Expected Time Remaining "); omniout_timestr(convfloat(expect_sec)); omniout_str_noeol(INFO, "Optimized Time Remaining "); omniout_timestr(convfloat(glob_optimal_expect_sec)) end if; omniout_str_noeol(INFO, "Time to Timeout "); omniout_timestr(convfloat(left_sec)); omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%") end proc > # Begin Function number 6 > check_for_pole := proc() > global > DEBUGMASSIVE, > ALWAYS, > glob_iolevel, > glob_max_terms, > DEBUGL, > INFO, > #Top Generate Globals Decl > glob_start, > glob_initial_pass, > glob_log10normmin, > glob_max_hours, > glob_log10_abserr, > glob_dump_analytic, > glob_not_yet_finished, > days_in_year, > djd_debug, > glob_max_opt_iter, > glob_normmax, > glob_hmin_init, > glob_not_yet_start_msg, > glob_clock_sec, > glob_almost_1, > glob_orig_start_sec, > glob_smallish_float, > centuries_in_millinium, > glob_log10abserr, > glob_iter, > glob_optimal_clock_start_sec, > glob_max_rel_trunc_err, > glob_disp_incr, > glob_optimal_start, > glob_large_float, > glob_reached_optimal_h, > years_in_century, > sec_in_min, > glob_dump, > glob_html_log, > glob_max_sec, > glob_max_iter, > glob_relerr, > glob_last_good_h, > glob_hmin, > glob_optimal_done, > min_in_hour, > djd_debug2, > glob_subiter_method, > glob_max_minutes, > glob_log10relerr, > MAX_UNCHANGED, > glob_warned2, > glob_warned, > glob_unchanged_h_cnt, > glob_small_float, > glob_no_eqs, > glob_clock_start_sec, > glob_optimal_expect_sec, > glob_percent_done, > glob_log10_relerr, > glob_look_poles, > glob_display_flag, > glob_curr_iter_when_opt, > glob_max_trunc_err, > glob_abserr, > glob_hmax, > glob_h, > glob_current_iter, > hours_in_day, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1D0, > array_const_1, > array_const_0D0, > #END CONST > array_last_rel_error, > array_pole, > array_fact_1, > array_norms, > array_1st_rel_error, > array_tmp0, > array_tmp1, > array_tmp2, > array_m1, > array_y, > array_x, > array_type_pole, > array_y_init, > array_real_pole, > array_y_higher, > array_fact_2, > array_complex_pole, > array_poles, > array_y_higher_work, > array_y_set_initial, > array_y_higher_work2, > glob_last; > > local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found; > #TOP CHECK FOR POLE > #IN RADII REAL EQ = 1 > #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 1 > #Applies to pole of arbitrary r_order on the real axis, > #Due to Prof. George Corliss. > n := glob_max_terms; > m := n - 1 - 1; > while ((m >= 10) and ((abs(array_y_higher[1,m]) < glob_small_float) or (abs(array_y_higher[1,m-1]) < glob_small_float) or (abs(array_y_higher[1,m-2]) < glob_small_float ))) do # do number 2 > m := m - 1; > od;# end do number 2 > ; > if (m > 10) then # if number 1 > rm0 := array_y_higher[1,m]/array_y_higher[1,m-1]; > rm1 := array_y_higher[1,m-1]/array_y_higher[1,m-2]; > hdrc := convfloat(m-1)*rm0-convfloat(m-2)*rm1; > if (abs(hdrc) > glob_small_float) then # if number 2 > rcs := glob_h/hdrc; > ord_no := convfloat(m-1)*rm0/hdrc - convfloat(m) + 2.0; > array_real_pole[1,1] := rcs; > array_real_pole[1,2] := ord_no; > else > array_real_pole[1,1] := glob_large_float; > array_real_pole[1,2] := glob_large_float; > fi;# end if 2 > else > array_real_pole[1,1] := glob_large_float; > array_real_pole[1,2] := glob_large_float; > fi;# end if 1 > ; > #BOTTOM RADII REAL EQ = 1 > #TOP RADII COMPLEX EQ = 1 > #Computes radius of convergence for complex conjugate pair of poles. > #from 6 adjacent Taylor series terms > #Also computes r_order of poles. > #Due to Manuel Prieto. > #With a correction by Dennis J. Darland > n := glob_max_terms - 1 - 1; > cnt := 0; > while ((cnt < 5) and (n >= 10)) do # do number 2 > if (abs(array_y_higher[1,n]) > glob_small_float) then # if number 1 > cnt := cnt + 1; > else > cnt := 0; > fi;# end if 1 > ; > n := n - 1; > od;# end do number 2 > ; > m := n + cnt; > if (m <= 10) then # if number 1 > array_complex_pole[1,1] := glob_large_float; > array_complex_pole[1,2] := glob_large_float; > elif (abs(array_y_higher[1,m]) >= (glob_large_float)) or (abs(array_y_higher[1,m-1]) >=(glob_large_float)) or (abs(array_y_higher[1,m-2]) >= (glob_large_float)) or (abs(array_y_higher[1,m-3]) >= (glob_large_float)) or (abs(array_y_higher[1,m-4]) >= (glob_large_float)) or (abs(array_y_higher[1,m-5]) >= (glob_large_float)) then # if number 2 > array_complex_pole[1,1] := glob_large_float; > array_complex_pole[1,2] := glob_large_float; > else > rm0 := (array_y_higher[1,m])/(array_y_higher[1,m-1]); > rm1 := (array_y_higher[1,m-1])/(array_y_higher[1,m-2]); > rm2 := (array_y_higher[1,m-2])/(array_y_higher[1,m-3]); > rm3 := (array_y_higher[1,m-3])/(array_y_higher[1,m-4]); > rm4 := (array_y_higher[1,m-4])/(array_y_higher[1,m-5]); > nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2; > nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3; > dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3; > dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4; > ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3; > ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4; > if ((abs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (abs(dr1) <= glob_small_float)) then # if number 3 > array_complex_pole[1,1] := glob_large_float; > array_complex_pole[1,2] := glob_large_float; > else > if (abs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 4 > rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1)); > #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1) > ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0; > if (abs(rcs) > glob_small_float) then # if number 5 > if (rcs > 0.0) then # if number 6 > rad_c := sqrt(rcs) * glob_h; > else > rad_c := glob_large_float; > fi;# end if 6 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 5 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 4 > fi;# end if 3 > ; > array_complex_pole[1,1] := rad_c; > array_complex_pole[1,2] := ord_no; > fi;# end if 2 > ; > #BOTTOM RADII COMPLEX EQ = 1 > found := false; > #TOP WHICH RADII EQ = 1 > if not found and ((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float)) and ((array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0)) then # if number 2 > array_poles[1,1] := array_complex_pole[1,1]; > array_poles[1,2] := array_complex_pole[1,2]; > found := true; > array_type_pole[1] := 2; > if (glob_display_flag) then # if number 3 > omniout_str(ALWAYS,"Complex estimate of poles used"); > fi;# end if 3 > ; > fi;# end if 2 > ; > if not found and ((array_real_pole[1,1] <> glob_large_float) and (array_real_pole[1,2] <> glob_large_float) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float) or (array_complex_pole[1,1] <= 0.0 ) or (array_complex_pole[1,2] <= 0.0))) then # if number 2 > array_poles[1,1] := array_real_pole[1,1]; > array_poles[1,2] := array_real_pole[1,2]; > found := true; > array_type_pole[1] := 1; > if (glob_display_flag) then # if number 3 > omniout_str(ALWAYS,"Real estimate of pole used"); > fi;# end if 3 > ; > fi;# end if 2 > ; > if not found and (((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float))) then # if number 2 > array_poles[1,1] := glob_large_float; > array_poles[1,2] := glob_large_float; > found := true; > array_type_pole[1] := 3; > if (glob_display_flag) then # if number 3 > omniout_str(ALWAYS,"NO POLE"); > fi;# end if 3 > ; > fi;# end if 2 > ; > if not found and ((array_real_pole[1,1] < array_complex_pole[1,1]) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0)) then # if number 2 > array_poles[1,1] := array_real_pole[1,1]; > array_poles[1,2] := array_real_pole[1,2]; > found := true; > array_type_pole[1] := 1; > if (glob_display_flag) then # if number 3 > omniout_str(ALWAYS,"Real estimate of pole used"); > fi;# end if 3 > ; > fi;# end if 2 > ; > if not found and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float) and (array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0)) then # if number 2 > array_poles[1,1] := array_complex_pole[1,1]; > array_poles[1,2] := array_complex_pole[1,2]; > array_type_pole[1] := 2; > found := true; > if (glob_display_flag) then # if number 3 > omniout_str(ALWAYS,"Complex estimate of poles used"); > fi;# end if 3 > ; > fi;# end if 2 > ; > if not found then # if number 2 > array_poles[1,1] := glob_large_float; > array_poles[1,2] := glob_large_float; > array_type_pole[1] := 3; > if (glob_display_flag) then # if number 3 > omniout_str(ALWAYS,"NO POLE"); > fi;# end if 3 > ; > fi;# end if 2 > ; > #BOTTOM WHICH RADII EQ = 1 > array_pole[1] := glob_large_float; > array_pole[2] := glob_large_float; > #TOP WHICH RADIUS EQ = 1 > if array_pole[1] > array_poles[1,1] then # if number 2 > array_pole[1] := array_poles[1,1]; > array_pole[2] := array_poles[1,2]; > fi;# end if 2 > ; > #BOTTOM WHICH RADIUS EQ = 1 > #BOTTOM CHECK FOR POLE > display_pole(); > # End Function number 6 > end; check_for_pole := proc() local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found; global DEBUGMASSIVE, ALWAYS, glob_iolevel, glob_max_terms, DEBUGL, INFO, glob_start, glob_initial_pass, glob_log10normmin, glob_max_hours, glob_log10_abserr, glob_dump_analytic, glob_not_yet_finished, days_in_year, djd_debug, glob_max_opt_iter, glob_normmax, glob_hmin_init, glob_not_yet_start_msg, glob_clock_sec, glob_almost_1, glob_orig_start_sec, glob_smallish_float, centuries_in_millinium, glob_log10abserr, glob_iter, glob_optimal_clock_start_sec, glob_max_rel_trunc_err, glob_disp_incr, glob_optimal_start, glob_large_float, glob_reached_optimal_h, years_in_century, sec_in_min, glob_dump, glob_html_log, glob_max_sec, glob_max_iter, glob_relerr, glob_last_good_h, glob_hmin, glob_optimal_done, min_in_hour, djd_debug2, glob_subiter_method, glob_max_minutes, glob_log10relerr, MAX_UNCHANGED, glob_warned2, glob_warned, glob_unchanged_h_cnt, glob_small_float, glob_no_eqs, glob_clock_start_sec, glob_optimal_expect_sec, glob_percent_done, glob_log10_relerr, glob_look_poles, glob_display_flag, glob_curr_iter_when_opt, glob_max_trunc_err, glob_abserr, glob_hmax, glob_h, glob_current_iter, hours_in_day, array_const_1D0, array_const_1, array_const_0D0, array_last_rel_error, array_pole, array_fact_1, array_norms, array_1st_rel_error, array_tmp0, array_tmp1, array_tmp2, array_m1, array_y, array_x, array_type_pole, array_y_init, array_real_pole, array_y_higher, array_fact_2, array_complex_pole, array_poles, array_y_higher_work, array_y_set_initial, array_y_higher_work2, glob_last; n := glob_max_terms; m := n - 2; while 10 <= m and (abs(array_y_higher[1, m]) < glob_small_float or abs(array_y_higher[1, m - 1]) < glob_small_float or abs(array_y_higher[1, m - 2]) < glob_small_float) do m := m - 1 end do; if 10 < m then rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1]; rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2]; hdrc := convfloat(m - 1)*rm0 - convfloat(m - 2)*rm1; if glob_small_float < abs(hdrc) then rcs := glob_h/hdrc; ord_no := convfloat(m - 1)*rm0/hdrc - convfloat(m) + 2.0; array_real_pole[1, 1] := rcs; array_real_pole[1, 2] := ord_no else array_real_pole[1, 1] := glob_large_float; array_real_pole[1, 2] := glob_large_float end if else array_real_pole[1, 1] := glob_large_float; array_real_pole[1, 2] := glob_large_float end if; n := glob_max_terms - 2; cnt := 0; while cnt < 5 and 10 <= n do if glob_small_float < abs(array_y_higher[1, n]) then cnt := cnt + 1 else cnt := 0 end if; n := n - 1 end do; m := n + cnt; if m <= 10 then array_complex_pole[1, 1] := glob_large_float; array_complex_pole[1, 2] := glob_large_float elif glob_large_float <= abs(array_y_higher[1, m]) or glob_large_float <= abs(array_y_higher[1, m - 1]) or glob_large_float <= abs(array_y_higher[1, m - 2]) or glob_large_float <= abs(array_y_higher[1, m - 3]) or glob_large_float <= abs(array_y_higher[1, m - 4]) or glob_large_float <= abs(array_y_higher[1, m - 5]) then array_complex_pole[1, 1] := glob_large_float; array_complex_pole[1, 2] := glob_large_float else rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1]; rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2]; rm2 := array_y_higher[1, m - 2]/array_y_higher[1, m - 3]; rm3 := array_y_higher[1, m - 3]/array_y_higher[1, m - 4]; rm4 := array_y_higher[1, m - 4]/array_y_higher[1, m - 5]; nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1 + convfloat(m - 3)*rm2; nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2 + convfloat(m - 4)*rm3; dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3; dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4; ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3; ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4; if abs(nr1*dr2 - nr2*dr1) <= glob_small_float or abs(dr1) <= glob_small_float then array_complex_pole[1, 1] := glob_large_float; array_complex_pole[1, 2] := glob_large_float else if glob_small_float < abs(nr1*dr2 - nr2*dr1) then rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1); ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0; if glob_small_float < abs(rcs) then if 0. < rcs then rad_c := sqrt(rcs)*glob_h else rad_c := glob_large_float end if else rad_c := glob_large_float; ord_no := glob_large_float end if else rad_c := glob_large_float; ord_no := glob_large_float end if end if; array_complex_pole[1, 1] := rad_c; array_complex_pole[1, 2] := ord_no end if; found := false; if not found and (array_real_pole[1, 1] = glob_large_float or array_real_pole[1, 2] = glob_large_float) and array_complex_pole[1, 1] <> glob_large_float and array_complex_pole[1, 2] <> glob_large_float and 0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then array_poles[1, 1] := array_complex_pole[1, 1]; array_poles[1, 2] := array_complex_pole[1, 2]; found := true; array_type_pole[1] := 2; if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used") end if end if; if not found and array_real_pole[1, 1] <> glob_large_float and array_real_pole[1, 2] <> glob_large_float and 0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] and ( array_complex_pole[1, 1] = glob_large_float or array_complex_pole[1, 2] = glob_large_float or array_complex_pole[1, 1] <= 0. or array_complex_pole[1, 2] <= 0.) then array_poles[1, 1] := array_real_pole[1, 1]; array_poles[1, 2] := array_real_pole[1, 2]; found := true; array_type_pole[1] := 1; if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used") end if end if; if not found and (array_real_pole[1, 1] = glob_large_float or array_real_pole[1, 2] = glob_large_float) and ( array_complex_pole[1, 1] = glob_large_float or array_complex_pole[1, 2] = glob_large_float) then array_poles[1, 1] := glob_large_float; array_poles[1, 2] := glob_large_float; found := true; array_type_pole[1] := 3; if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if end if; if not found and array_real_pole[1, 1] < array_complex_pole[1, 1] and 0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] then array_poles[1, 1] := array_real_pole[1, 1]; array_poles[1, 2] := array_real_pole[1, 2]; found := true; array_type_pole[1] := 1; if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used") end if end if; if not found and array_complex_pole[1, 1] <> glob_large_float and array_complex_pole[1, 2] <> glob_large_float and 0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then array_poles[1, 1] := array_complex_pole[1, 1]; array_poles[1, 2] := array_complex_pole[1, 2]; array_type_pole[1] := 2; found := true; if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used") end if end if; if not found then array_poles[1, 1] := glob_large_float; array_poles[1, 2] := glob_large_float; array_type_pole[1] := 3; if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if end if; array_pole[1] := glob_large_float; array_pole[2] := glob_large_float; if array_poles[1, 1] < array_pole[1] then array_pole[1] := array_poles[1, 1]; array_pole[2] := array_poles[1, 2] end if; display_pole() end proc > # Begin Function number 7 > get_norms := proc() > global > DEBUGMASSIVE, > ALWAYS, > glob_iolevel, > glob_max_terms, > DEBUGL, > INFO, > #Top Generate Globals Decl > glob_start, > glob_initial_pass, > glob_log10normmin, > glob_max_hours, > glob_log10_abserr, > glob_dump_analytic, > glob_not_yet_finished, > days_in_year, > djd_debug, > glob_max_opt_iter, > glob_normmax, > glob_hmin_init, > glob_not_yet_start_msg, > glob_clock_sec, > glob_almost_1, > glob_orig_start_sec, > glob_smallish_float, > centuries_in_millinium, > glob_log10abserr, > glob_iter, > glob_optimal_clock_start_sec, > glob_max_rel_trunc_err, > glob_disp_incr, > glob_optimal_start, > glob_large_float, > glob_reached_optimal_h, > years_in_century, > sec_in_min, > glob_dump, > glob_html_log, > glob_max_sec, > glob_max_iter, > glob_relerr, > glob_last_good_h, > glob_hmin, > glob_optimal_done, > min_in_hour, > djd_debug2, > glob_subiter_method, > glob_max_minutes, > glob_log10relerr, > MAX_UNCHANGED, > glob_warned2, > glob_warned, > glob_unchanged_h_cnt, > glob_small_float, > glob_no_eqs, > glob_clock_start_sec, > glob_optimal_expect_sec, > glob_percent_done, > glob_log10_relerr, > glob_look_poles, > glob_display_flag, > glob_curr_iter_when_opt, > glob_max_trunc_err, > glob_abserr, > glob_hmax, > glob_h, > glob_current_iter, > hours_in_day, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1D0, > array_const_1, > array_const_0D0, > #END CONST > array_last_rel_error, > array_pole, > array_fact_1, > array_norms, > array_1st_rel_error, > array_tmp0, > array_tmp1, > array_tmp2, > array_m1, > array_y, > array_x, > array_type_pole, > array_y_init, > array_real_pole, > array_y_higher, > array_fact_2, > array_complex_pole, > array_poles, > array_y_higher_work, > array_y_set_initial, > array_y_higher_work2, > glob_last; > > local iii; > if (not glob_initial_pass) then # if number 2 > set_z(array_norms,glob_max_terms+1); > #TOP GET NORMS > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > if (abs(array_y[iii]) > array_norms[iii]) then # if number 3 > array_norms[iii] := abs(array_y[iii]); > fi;# end if 3 > ; > iii := iii + 1; > od;# end do number 2 > #GET NORMS > ; > fi;# end if 2 > ; > # End Function number 7 > end; get_norms := proc() local iii; global DEBUGMASSIVE, ALWAYS, glob_iolevel, glob_max_terms, DEBUGL, INFO, glob_start, glob_initial_pass, glob_log10normmin, glob_max_hours, glob_log10_abserr, glob_dump_analytic, glob_not_yet_finished, days_in_year, djd_debug, glob_max_opt_iter, glob_normmax, glob_hmin_init, glob_not_yet_start_msg, glob_clock_sec, glob_almost_1, glob_orig_start_sec, glob_smallish_float, centuries_in_millinium, glob_log10abserr, glob_iter, glob_optimal_clock_start_sec, glob_max_rel_trunc_err, glob_disp_incr, glob_optimal_start, glob_large_float, glob_reached_optimal_h, years_in_century, sec_in_min, glob_dump, glob_html_log, glob_max_sec, glob_max_iter, glob_relerr, glob_last_good_h, glob_hmin, glob_optimal_done, min_in_hour, djd_debug2, glob_subiter_method, glob_max_minutes, glob_log10relerr, MAX_UNCHANGED, glob_warned2, glob_warned, glob_unchanged_h_cnt, glob_small_float, glob_no_eqs, glob_clock_start_sec, glob_optimal_expect_sec, glob_percent_done, glob_log10_relerr, glob_look_poles, glob_display_flag, glob_curr_iter_when_opt, glob_max_trunc_err, glob_abserr, glob_hmax, glob_h, glob_current_iter, hours_in_day, array_const_1D0, array_const_1, array_const_0D0, array_last_rel_error, array_pole, array_fact_1, array_norms, array_1st_rel_error, array_tmp0, array_tmp1, array_tmp2, array_m1, array_y, array_x, array_type_pole, array_y_init, array_real_pole, array_y_higher, array_fact_2, array_complex_pole, array_poles, array_y_higher_work, array_y_set_initial, array_y_higher_work2, glob_last; if not glob_initial_pass then set_z(array_norms, glob_max_terms + 1); iii := 1; while iii <= glob_max_terms do if array_norms[iii] < abs(array_y[iii]) then array_norms[iii] := abs(array_y[iii]) end if; iii := iii + 1 end do end if end proc > # Begin Function number 8 > atomall := proc() > global > DEBUGMASSIVE, > ALWAYS, > glob_iolevel, > glob_max_terms, > DEBUGL, > INFO, > #Top Generate Globals Decl > glob_start, > glob_initial_pass, > glob_log10normmin, > glob_max_hours, > glob_log10_abserr, > glob_dump_analytic, > glob_not_yet_finished, > days_in_year, > djd_debug, > glob_max_opt_iter, > glob_normmax, > glob_hmin_init, > glob_not_yet_start_msg, > glob_clock_sec, > glob_almost_1, > glob_orig_start_sec, > glob_smallish_float, > centuries_in_millinium, > glob_log10abserr, > glob_iter, > glob_optimal_clock_start_sec, > glob_max_rel_trunc_err, > glob_disp_incr, > glob_optimal_start, > glob_large_float, > glob_reached_optimal_h, > years_in_century, > sec_in_min, > glob_dump, > glob_html_log, > glob_max_sec, > glob_max_iter, > glob_relerr, > glob_last_good_h, > glob_hmin, > glob_optimal_done, > min_in_hour, > djd_debug2, > glob_subiter_method, > glob_max_minutes, > glob_log10relerr, > MAX_UNCHANGED, > glob_warned2, > glob_warned, > glob_unchanged_h_cnt, > glob_small_float, > glob_no_eqs, > glob_clock_start_sec, > glob_optimal_expect_sec, > glob_percent_done, > glob_log10_relerr, > glob_look_poles, > glob_display_flag, > glob_curr_iter_when_opt, > glob_max_trunc_err, > glob_abserr, > glob_hmax, > glob_h, > glob_current_iter, > hours_in_day, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1D0, > array_const_1, > array_const_0D0, > #END CONST > array_last_rel_error, > array_pole, > array_fact_1, > array_norms, > array_1st_rel_error, > array_tmp0, > array_tmp1, > array_tmp2, > array_m1, > array_y, > array_x, > array_type_pole, > array_y_init, > array_real_pole, > array_y_higher, > array_fact_2, > array_complex_pole, > array_poles, > array_y_higher_work, > array_y_set_initial, > array_y_higher_work2, > 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 DEBUGMASSIVE, ALWAYS, glob_iolevel, glob_max_terms, DEBUGL, INFO, glob_start, glob_initial_pass, glob_log10normmin, glob_max_hours, glob_log10_abserr, glob_dump_analytic, glob_not_yet_finished, days_in_year, djd_debug, glob_max_opt_iter, glob_normmax, glob_hmin_init, glob_not_yet_start_msg, glob_clock_sec, glob_almost_1, glob_orig_start_sec, glob_smallish_float, centuries_in_millinium, glob_log10abserr, glob_iter, glob_optimal_clock_start_sec, glob_max_rel_trunc_err, glob_disp_incr, glob_optimal_start, glob_large_float, glob_reached_optimal_h, years_in_century, sec_in_min, glob_dump, glob_html_log, glob_max_sec, glob_max_iter, glob_relerr, glob_last_good_h, glob_hmin, glob_optimal_done, min_in_hour, djd_debug2, glob_subiter_method, glob_max_minutes, glob_log10relerr, MAX_UNCHANGED, glob_warned2, glob_warned, glob_unchanged_h_cnt, glob_small_float, glob_no_eqs, glob_clock_start_sec, glob_optimal_expect_sec, glob_percent_done, glob_log10_relerr, glob_look_poles, glob_display_flag, glob_curr_iter_when_opt, glob_max_trunc_err, glob_abserr, glob_hmax, glob_h, glob_current_iter, hours_in_day, array_const_1D0, array_const_1, array_const_0D0, array_last_rel_error, array_pole, array_fact_1, array_norms, array_1st_rel_error, array_tmp0, array_tmp1, array_tmp2, array_m1, array_y, array_x, array_type_pole, array_y_init, array_real_pole, array_y_higher, array_fact_2, array_complex_pole, array_poles, array_y_higher_work, array_y_set_initial, array_y_higher_work2, 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) > global glob_max_terms,array_fact_1; > local ret; > if (nnn <= glob_max_terms) then # if number 13 > if array_fact_1[nnn] = 0 then # if number 14 > ret := nnn!; > array_fact_1[nnn] := ret; > else > ret := array_fact_1[nnn]; > fi;# end if 14 > ; > else > ret := nnn!; > fi;# end if 13 > ; > ret; > # End Function number 17 > end; factorial_1 := proc(nnn) local ret; global glob_max_terms, array_fact_1; if nnn <= glob_max_terms then if array_fact_1[nnn] = 0 then ret := nnn!; array_fact_1[nnn] := ret else ret := array_fact_1[nnn] end if else ret := nnn! end if; ret end proc > # Begin Function number 18 > factorial_3 := proc(mmm,nnn) > global glob_max_terms,array_fact_2; > local ret; > if (nnn <= glob_max_terms) and (mmm <= glob_max_terms) then # if number 13 > if array_fact_2[mmm,nnn] = 0 then # if number 14 > ret := factorial_1(mmm)/factorial_1(nnn); > array_fact_2[mmm,nnn] := ret; > else > ret := array_fact_2[mmm,nnn]; > fi;# end if 14 > ; > else > ret := (mmm!)/(nnn!); > fi;# end if 13 > ; > ret; > # End Function number 18 > end; factorial_3 := proc(mmm, nnn) local ret; global glob_max_terms, array_fact_2; if nnn <= glob_max_terms and mmm <= glob_max_terms then if array_fact_2[mmm, nnn] = 0 then ret := factorial_1(mmm)/factorial_1(nnn); array_fact_2[mmm, nnn] := ret else ret := array_fact_2[mmm, nnn] end if else ret := mmm!/nnn! end if; ret end proc > # Begin Function number 19 > convfp := proc(mmm) > (mmm); > > # End Function number 19 > end; convfp := proc(mmm) mmm end proc > # Begin Function number 20 > convfloat := proc(mmm) > (mmm); > > # End Function number 20 > end; convfloat := proc(mmm) mmm end proc > elapsed_time_seconds := proc() > time(); > end; elapsed_time_seconds := proc() time() end proc > > > > #END ATS LIBRARY BLOCK > #BEGIN USER DEF BLOCK > #BEGIN USER DEF BLOCK > exact_soln_y := proc(x) > 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,iiif,jjjf, > 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 > DEBUGMASSIVE, > ALWAYS, > glob_iolevel, > glob_max_terms, > DEBUGL, > INFO, > #Top Generate Globals Decl > glob_start, > glob_initial_pass, > glob_log10normmin, > glob_max_hours, > glob_log10_abserr, > glob_dump_analytic, > glob_not_yet_finished, > days_in_year, > djd_debug, > glob_max_opt_iter, > glob_normmax, > glob_hmin_init, > glob_not_yet_start_msg, > glob_clock_sec, > glob_almost_1, > glob_orig_start_sec, > glob_smallish_float, > centuries_in_millinium, > glob_log10abserr, > glob_iter, > glob_optimal_clock_start_sec, > glob_max_rel_trunc_err, > glob_disp_incr, > glob_optimal_start, > glob_large_float, > glob_reached_optimal_h, > years_in_century, > sec_in_min, > glob_dump, > glob_html_log, > glob_max_sec, > glob_max_iter, > glob_relerr, > glob_last_good_h, > glob_hmin, > glob_optimal_done, > min_in_hour, > djd_debug2, > glob_subiter_method, > glob_max_minutes, > glob_log10relerr, > MAX_UNCHANGED, > glob_warned2, > glob_warned, > glob_unchanged_h_cnt, > glob_small_float, > glob_no_eqs, > glob_clock_start_sec, > glob_optimal_expect_sec, > glob_percent_done, > glob_log10_relerr, > glob_look_poles, > glob_display_flag, > glob_curr_iter_when_opt, > glob_max_trunc_err, > glob_abserr, > glob_hmax, > glob_h, > glob_current_iter, > hours_in_day, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1D0, > array_const_1, > array_const_0D0, > #END CONST > array_last_rel_error, > array_pole, > array_fact_1, > array_norms, > array_1st_rel_error, > array_tmp0, > array_tmp1, > array_tmp2, > array_m1, > array_y, > array_x, > array_type_pole, > array_y_init, > array_real_pole, > array_y_higher, > array_fact_2, > array_complex_pole, > array_poles, > array_y_higher_work, > array_y_set_initial, > array_y_higher_work2, > glob_last; > glob_last; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > glob_iolevel := INFO; > DEBUGMASSIVE := 4; > ALWAYS := 1; > glob_iolevel := 5; > glob_max_terms := 30; > DEBUGL := 3; > INFO := 2; > glob_start := 0; > glob_initial_pass := true; > glob_log10normmin := 0.1; > glob_max_hours := 0.0; > glob_log10_abserr := 0.1e-10; > glob_dump_analytic := false; > glob_not_yet_finished := true; > days_in_year := 365.0; > djd_debug := true; > glob_max_opt_iter := 10; > glob_normmax := 0.0; > glob_hmin_init := 0.001; > glob_not_yet_start_msg := true; > glob_clock_sec := 0.0; > glob_almost_1 := 0.9990; > glob_orig_start_sec := 0.0; > glob_smallish_float := 0.1e-100; > centuries_in_millinium := 10.0; > glob_log10abserr := 0.0; > glob_iter := 0; > glob_optimal_clock_start_sec := 0.0; > glob_max_rel_trunc_err := 0.1e-10; > glob_disp_incr := 0.1; > glob_optimal_start := 0.0; > glob_large_float := 9.0e100; > glob_reached_optimal_h := false; > years_in_century := 100.0; > sec_in_min := 60.0; > glob_dump := false; > glob_html_log := true; > glob_max_sec := 10000.0; > glob_max_iter := 1000; > glob_relerr := 0.1e-10; > glob_last_good_h := 0.1; > glob_hmin := 0.00000000001; > glob_optimal_done := false; > min_in_hour := 60.0; > djd_debug2 := true; > glob_subiter_method := 3; > glob_max_minutes := 0.0; > glob_log10relerr := 0.0; > MAX_UNCHANGED := 10; > glob_warned2 := false; > glob_warned := false; > glob_unchanged_h_cnt := 0; > glob_small_float := 0.1e-50; > glob_no_eqs := 0; > glob_clock_start_sec := 0.0; > glob_optimal_expect_sec := 0.1; > glob_percent_done := 0.0; > glob_log10_relerr := 0.1e-10; > glob_look_poles := false; > glob_display_flag := true; > glob_curr_iter_when_opt := 0; > glob_max_trunc_err := 0.1e-10; > glob_abserr := 0.1e-10; > glob_hmax := 1.0; > glob_h := 0.1; > glob_current_iter := 0; > hours_in_day := 24.0; > #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 := 0.001 ;"); > omniout_str(ALWAYS,"glob_look_poles := true;"); > omniout_str(ALWAYS,"glob_max_iter := 1000;"); > omniout_str(ALWAYS,"glob_max_minutes := 15;"); > omniout_str(ALWAYS,"#END OVERRIDE BLOCK"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK"); > omniout_str(ALWAYS,"exact_soln_y := proc(x)"); > omniout_str(ALWAYS,"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_last_rel_error:= Array(0..(max_terms + 1),[]); > array_pole:= Array(0..(max_terms + 1),[]); > array_fact_1:= Array(0..(max_terms + 1),[]); > array_norms:= Array(0..(max_terms + 1),[]); > array_1st_rel_error:= Array(0..(max_terms + 1),[]); > array_tmp0:= Array(0..(max_terms + 1),[]); > array_tmp1:= Array(0..(max_terms + 1),[]); > array_tmp2:= Array(0..(max_terms + 1),[]); > array_m1:= Array(0..(max_terms + 1),[]); > array_y:= Array(0..(max_terms + 1),[]); > array_x:= Array(0..(max_terms + 1),[]); > array_type_pole:= Array(0..(max_terms + 1),[]); > array_y_init:= Array(0..(max_terms + 1),[]); > array_real_pole := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_y_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]); > array_complex_pole := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_poles := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_y_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y_set_initial := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > term := 1; > while term <= max_terms do # do number 2 > array_last_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_pole[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_fact_1[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_1st_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_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_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_type_pole[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_y_init[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > 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 <=max_terms do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_fact_2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=1 do # do number 2 > term := 1; > while term <= 3 do # do number 3 > array_complex_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=1 do # do number 2 > term := 1; > while term <= 3 do # do number 3 > array_poles[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > 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 <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y_set_initial[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y_higher_work2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > #BEGIN ARRAYS DEFINED AND INITIALIZATED > array_tmp2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_x := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_y := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_y[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_1D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_1D0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_1D0[1] := 1.0; > array_const_1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_1[1] := 1; > array_const_0D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_0D0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_0D0[1] := 0.0; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_m1[1] := -1.0; > #END ARRAYS DEFINED AND INITIALIZATED > #Initing Factorial Tables > iiif := 0; > while iiif <= glob_max_terms do # do number 2 > jjjf := 0; > while jjjf <= glob_max_terms do # do number 3 > array_fact_1[iiif] := 0; > array_fact_2[iiif,jjjf] := 0; > jjjf := jjjf + 1; > od;# end do number 3 > ; > iiif := iiif + 1; > od;# end do number 2 > ; > #Done Initing Factorial Tables > #TOP SECOND INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > #END FIRST INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > x_start := 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 := 0.001 ; > glob_look_poles := true; > glob_max_iter := 1000; > glob_max_minutes := 15; > #END OVERRIDE BLOCK > #END SECOND INPUT BLOCK > #BEGIN INITS AFTER SECOND INPUT BLOCK > glob_last_good_h := glob_h; > glob_max_terms := max_terms; > glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours); > glob_abserr := 10.0 ^ (glob_log10_abserr); > glob_relerr := 10.0 ^ (glob_log10_relerr); > chk_data(); > #AFTER INITS AFTER SECOND INPUT BLOCK > array_y_set_initial[1,1] := true; > array_y_set_initial[1,2] := false; > array_y_set_initial[1,3] := false; > array_y_set_initial[1,4] := false; > array_y_set_initial[1,5] := false; > array_y_set_initial[1,6] := false; > array_y_set_initial[1,7] := false; > array_y_set_initial[1,8] := false; > array_y_set_initial[1,9] := false; > array_y_set_initial[1,10] := false; > array_y_set_initial[1,11] := false; > array_y_set_initial[1,12] := false; > array_y_set_initial[1,13] := false; > array_y_set_initial[1,14] := false; > array_y_set_initial[1,15] := false; > array_y_set_initial[1,16] := false; > array_y_set_initial[1,17] := false; > array_y_set_initial[1,18] := false; > array_y_set_initial[1,19] := false; > array_y_set_initial[1,20] := false; > array_y_set_initial[1,21] := false; > array_y_set_initial[1,22] := false; > array_y_set_initial[1,23] := false; > array_y_set_initial[1,24] := false; > array_y_set_initial[1,25] := false; > array_y_set_initial[1,26] := false; > array_y_set_initial[1,27] := false; > array_y_set_initial[1,28] := false; > array_y_set_initial[1,29] := false; > array_y_set_initial[1,30] := false; > if glob_html_log then # if number 2 > html_log_file := fopen("html/entry.html",WRITE,TEXT); > fi;# end if 2 > ; > #BEGIN SOLUTION CODE > omniout_str(ALWAYS,"START of Soultion"); > #Start Series -- INITIALIZE FOR SOLUTION > array_x[1] := x_start; > array_x[2] := glob_h; > order_diff := 1; > #Start Series array_y > term_no := 1; > while (term_no <= order_diff) do # do number 2 > array_y[term_no] := array_y_init[term_no] * glob_h ^ (term_no - 1) / factorial_1(term_no - 1); > term_no := term_no + 1; > od;# end do number 2 > ; > rows := order_diff; > r_order := 1; > while (r_order <= rows) do # do number 2 > term_no := 1; > while (term_no <= (rows - r_order + 1)) do # do number 3 > it := term_no + r_order - 1; > array_y_higher[r_order,term_no] := array_y_init[it]* (glob_h ^ (term_no - 1)) / ((factorial_1(term_no - 1))); > term_no := term_no + 1; > od;# end do number 3 > ; > r_order := r_order + 1; > od;# end do number 2 > ; > current_iter := 1; > glob_clock_start_sec := elapsed_time_seconds(); > start_array_y(); > if (abs(array_y_higher[1,1]) > glob_small_float) then # if number 2 > tmp := abs(array_y_higher[1,1]); > log10norm := (log10(tmp)); > if (log10norm < glob_log10normmin) then # if number 3 > glob_log10normmin := log10norm; > fi;# end if 3 > fi;# end if 2 > ; > display_alot(current_iter) > ; > glob_clock_sec := elapsed_time_seconds(); > glob_current_iter := 0; > glob_iter := 0; > omniout_str(DEBUGL," "); > glob_reached_optimal_h := true; > glob_optimal_clock_start_sec := elapsed_time_seconds(); > while ((glob_current_iter < glob_max_iter) and (array_x[1] <= x_end ) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2 > #left paren 0001C > omniout_str(INFO," "); > omniout_str(INFO,"TOP MAIN SOLVE Loop"); > glob_iter := glob_iter + 1; > glob_clock_sec := elapsed_time_seconds(); > glob_current_iter := glob_current_iter + 1; > atomall(); > if (glob_look_poles) then # if number 2 > #left paren 0004C > check_for_pole(); > fi;# end if 2 > ;#was right paren 0004C > array_x[1] := array_x[1] + glob_h; > array_x[2] := glob_h; > #Jump Series array_y > order_diff := 1; > #START PART 1 SUM AND ADJUST > #START SUM AND ADJUST EQ =1 > #sum_and_adjust array_y > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 2; > calc_term := 1; > #adjust_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y_higher_work[2,iii] := array_y_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 2; > calc_term := 1; > #sum_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 2; > #adjust_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y_higher_work[1,iii] := array_y_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 2; > #sum_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 1; > #adjust_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y_higher_work[1,iii] := array_y_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 1; > #sum_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #END SUM AND ADJUST EQ =1 > #END PART 1 > #START PART 2 MOVE TERMS to REGULAR Array > term_no := glob_max_terms; > while (term_no >= 1) do # do number 3 > array_y[term_no] := array_y_higher_work2[1,term_no]; > ord := 1; > while ord <= order_diff do # do number 4 > array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no]; > ord := ord + 1; > od;# end do number 4 > ; > term_no := term_no - 1; > od;# end do number 3 > ; > #END PART 2 HEVE MOVED TERMS to REGULAR Array > display_alot(current_iter) > ; > od;# end do number 2 > ;#right paren 0001C > omniout_str(ALWAYS,"Finished!"); > if (glob_iter >= glob_max_iter) then # if number 2 > omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!") > fi;# end if 2 > ; > if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 2 > omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!") > fi;# end if 2 > ; > glob_clock_sec := elapsed_time_seconds(); > omniout_str(INFO,"diff ( y , x , 1 ) = 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,"2012-06-17T20:05:52-05:00") > ; > 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," 092 ") > ; > logitem_str(html_log_file,"diff0 diffeq.mxt") > ; > logitem_str(html_log_file,"diff0 maple results") > ; > logitem_str(html_log_file,"Mostly affecting speed of factorials") > ; > logend(html_log_file) > ; > ; > fi;# end if 2 > ; > if glob_html_log then # if number 2 > fclose(html_log_file); > fi;# end if 2 > ; > ;; > #END OUTFILEMAIN > # End Function number 8 > end; mainprog := proc() local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff, term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter, calc_term, iii, temp_sum, current_iter, x_start, x_end, it, log10norm, max_terms, opt_iter, tmp; global DEBUGMASSIVE, ALWAYS, glob_iolevel, glob_max_terms, DEBUGL, INFO, glob_start, glob_initial_pass, glob_log10normmin, glob_max_hours, glob_log10_abserr, glob_dump_analytic, glob_not_yet_finished, days_in_year, djd_debug, glob_max_opt_iter, glob_normmax, glob_hmin_init, glob_not_yet_start_msg, glob_clock_sec, glob_almost_1, glob_orig_start_sec, glob_smallish_float, centuries_in_millinium, glob_log10abserr, glob_iter, glob_optimal_clock_start_sec, glob_max_rel_trunc_err, glob_disp_incr, glob_optimal_start, glob_large_float, glob_reached_optimal_h, years_in_century, sec_in_min, glob_dump, glob_html_log, glob_max_sec, glob_max_iter, glob_relerr, glob_last_good_h, glob_hmin, glob_optimal_done, min_in_hour, djd_debug2, glob_subiter_method, glob_max_minutes, glob_log10relerr, MAX_UNCHANGED, glob_warned2, glob_warned, glob_unchanged_h_cnt, glob_small_float, glob_no_eqs, glob_clock_start_sec, glob_optimal_expect_sec, glob_percent_done, glob_log10_relerr, glob_look_poles, glob_display_flag, glob_curr_iter_when_opt, glob_max_trunc_err, glob_abserr, glob_hmax, glob_h, glob_current_iter, hours_in_day, array_const_1D0, array_const_1, array_const_0D0, array_last_rel_error, array_pole, array_fact_1, array_norms, array_1st_rel_error, array_tmp0, array_tmp1, array_tmp2, array_m1, array_y, array_x, array_type_pole, array_y_init, array_real_pole, array_y_higher, array_fact_2, array_complex_pole, array_poles, array_y_higher_work, array_y_set_initial, array_y_higher_work2, glob_last; glob_last; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; glob_iolevel := INFO; DEBUGMASSIVE := 4; ALWAYS := 1; glob_iolevel := 5; glob_max_terms := 30; DEBUGL := 3; INFO := 2; glob_start := 0; glob_initial_pass := true; glob_log10normmin := 0.1; glob_max_hours := 0.; glob_log10_abserr := 0.1*10^(-10); glob_dump_analytic := false; glob_not_yet_finished := true; days_in_year := 365.0; djd_debug := true; glob_max_opt_iter := 10; glob_normmax := 0.; glob_hmin_init := 0.001; glob_not_yet_start_msg := true; glob_clock_sec := 0.; glob_almost_1 := 0.9990; glob_orig_start_sec := 0.; glob_smallish_float := 0.1*10^(-100); centuries_in_millinium := 10.0; glob_log10abserr := 0.; glob_iter := 0; glob_optimal_clock_start_sec := 0.; glob_max_rel_trunc_err := 0.1*10^(-10); glob_disp_incr := 0.1; glob_optimal_start := 0.; glob_large_float := 0.90*10^101; glob_reached_optimal_h := false; years_in_century := 100.0; sec_in_min := 60.0; glob_dump := false; glob_html_log := true; glob_max_sec := 10000.0; glob_max_iter := 1000; glob_relerr := 0.1*10^(-10); glob_last_good_h := 0.1; glob_hmin := 0.1*10^(-10); glob_optimal_done := false; min_in_hour := 60.0; djd_debug2 := true; glob_subiter_method := 3; glob_max_minutes := 0.; glob_log10relerr := 0.; MAX_UNCHANGED := 10; glob_warned2 := false; glob_warned := false; glob_unchanged_h_cnt := 0; glob_small_float := 0.1*10^(-50); glob_no_eqs := 0; glob_clock_start_sec := 0.; glob_optimal_expect_sec := 0.1; glob_percent_done := 0.; glob_log10_relerr := 0.1*10^(-10); glob_look_poles := false; glob_display_flag := true; glob_curr_iter_when_opt := 0; glob_max_trunc_err := 0.1*10^(-10); glob_abserr := 0.1*10^(-10); glob_hmax := 1.0; glob_h := 0.1; glob_current_iter := 0; hours_in_day := 24.0; 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 := 0.001 ;"); omniout_str(ALWAYS, "glob_look_poles := true;"); omniout_str(ALWAYS, "glob_max_iter := 1000;"); omniout_str(ALWAYS, "glob_max_minutes := 15;"); omniout_str(ALWAYS, "#END OVERRIDE BLOCK"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK"); omniout_str(ALWAYS, "exact_soln_y := proc(x)"); omniout_str(ALWAYS, "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_last_rel_error := Array(0 .. max_terms + 1, []); array_pole := Array(0 .. max_terms + 1, []); array_fact_1 := Array(0 .. max_terms + 1, []); array_norms := Array(0 .. max_terms + 1, []); array_1st_rel_error := Array(0 .. max_terms + 1, []); array_tmp0 := Array(0 .. max_terms + 1, []); array_tmp1 := Array(0 .. max_terms + 1, []); array_tmp2 := Array(0 .. max_terms + 1, []); array_m1 := Array(0 .. max_terms + 1, []); array_y := Array(0 .. max_terms + 1, []); array_x := Array(0 .. max_terms + 1, []); array_type_pole := Array(0 .. max_terms + 1, []); array_y_init := Array(0 .. max_terms + 1, []); array_real_pole := Array(0 .. 2, 0 .. 4, []); array_y_higher := Array(0 .. 3, 0 .. max_terms + 1, []); array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []); array_complex_pole := Array(0 .. 2, 0 .. 4, []); array_poles := Array(0 .. 2, 0 .. 4, []); array_y_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []); array_y_set_initial := Array(0 .. 3, 0 .. max_terms + 1, []); array_y_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []); term := 1; while term <= max_terms do array_last_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_fact_1[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_1st_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp0[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp2[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_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_type_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y_init[term] := 0.; term := term + 1 end do; 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 <= max_terms do term := 1; while term <= max_terms do array_fact_2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 1 do term := 1; while term <= 3 do array_complex_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 1 do term := 1; while term <= 3 do array_poles[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; 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 <= 2 do term := 1; while term <= max_terms do array_y_set_initial[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_higher_work2[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_1D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1D0[term] := 0.; term := term + 1 end do; array_const_1D0[1] := 1.0; array_const_1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1[term] := 0.; term := term + 1 end do; array_const_1[1] := 1; array_const_0D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D0[term] := 0.; term := term + 1 end do; array_const_0D0[1] := 0.; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; array_m1[1] := -1.0; iiif := 0; while iiif <= glob_max_terms do jjjf := 0; while jjjf <= glob_max_terms do array_fact_1[iiif] := 0; array_fact_2[iiif, jjjf] := 0; jjjf := jjjf + 1 end do; iiif := iiif + 1 end do; 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 := 0.001; glob_look_poles := true; glob_max_iter := 1000; glob_max_minutes := 15; glob_last_good_h := glob_h; glob_max_terms := max_terms; glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes) + convfloat(3600.0)*convfloat(glob_max_hours); glob_abserr := 10.0^glob_log10_abserr; glob_relerr := 10.0^glob_log10_relerr; chk_data(); array_y_set_initial[1, 1] := true; array_y_set_initial[1, 2] := false; array_y_set_initial[1, 3] := false; array_y_set_initial[1, 4] := false; array_y_set_initial[1, 5] := false; array_y_set_initial[1, 6] := false; array_y_set_initial[1, 7] := false; array_y_set_initial[1, 8] := false; array_y_set_initial[1, 9] := false; array_y_set_initial[1, 10] := false; array_y_set_initial[1, 11] := false; array_y_set_initial[1, 12] := false; array_y_set_initial[1, 13] := false; array_y_set_initial[1, 14] := false; array_y_set_initial[1, 15] := false; array_y_set_initial[1, 16] := false; array_y_set_initial[1, 17] := false; array_y_set_initial[1, 18] := false; array_y_set_initial[1, 19] := false; array_y_set_initial[1, 20] := false; array_y_set_initial[1, 21] := false; array_y_set_initial[1, 22] := false; array_y_set_initial[1, 23] := false; array_y_set_initial[1, 24] := false; array_y_set_initial[1, 25] := false; array_y_set_initial[1, 26] := false; array_y_set_initial[1, 27] := false; array_y_set_initial[1, 28] := false; array_y_set_initial[1, 29] := false; array_y_set_initial[1, 30] := false; if glob_html_log then html_log_file := fopen("html/entry.html", WRITE, TEXT) end if; omniout_str(ALWAYS, "START of Soultion"); array_x[1] := x_start; array_x[2] := glob_h; order_diff := 1; term_no := 1; while term_no <= order_diff do array_y[term_no] := array_y_init[term_no]*glob_h^(term_no - 1)/ factorial_1(term_no - 1); term_no := term_no + 1 end do; rows := order_diff; r_order := 1; while r_order <= rows do term_no := 1; while term_no <= rows - r_order + 1 do it := term_no + r_order - 1; array_y_higher[r_order, term_no] := array_y_init[it]* glob_h^(term_no - 1)/factorial_1(term_no - 1); term_no := term_no + 1 end do; r_order := r_order + 1 end do; current_iter := 1; glob_clock_start_sec := elapsed_time_seconds(); start_array_y(); if glob_small_float < abs(array_y_higher[1, 1]) then tmp := abs(array_y_higher[1, 1]); log10norm := log10(tmp); if log10norm < glob_log10normmin then glob_log10normmin := log10norm end if end if; display_alot(current_iter); glob_clock_sec := elapsed_time_seconds(); glob_current_iter := 0; glob_iter := 0; omniout_str(DEBUGL, " "); glob_reached_optimal_h := true; glob_optimal_clock_start_sec := elapsed_time_seconds(); while glob_current_iter < glob_max_iter and array_x[1] <= x_end and convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < convfloat(glob_max_sec) do omniout_str(INFO, " "); omniout_str(INFO, "TOP MAIN SOLVE Loop"); glob_iter := glob_iter + 1; glob_clock_sec := elapsed_time_seconds(); glob_current_iter := glob_current_iter + 1; atomall(); if glob_look_poles then check_for_pole() end if; array_x[1] := array_x[1] + glob_h; array_x[2] := glob_h; order_diff := 1; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y_higher_work[2, iii] := array_y_higher[2, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y_higher_work[ord, iii]; iii := iii - 1 end do; array_y_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y_higher_work[1, iii] := array_y_higher[1, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y_higher_work[ord, iii]; iii := iii - 1 end do; array_y_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y_higher_work[1, iii] := array_y_higher[1, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y_higher_work[ord, iii]; iii := iii - 1 end do; array_y_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; term_no := glob_max_terms; while 1 <= term_no do array_y[term_no] := array_y_higher_work2[1, term_no]; ord := 1; while ord <= order_diff do array_y_higher[ord, term_no] := array_y_higher_work2[ord, term_no]; ord := ord + 1 end do; term_no := term_no - 1 end do; display_alot(current_iter) end do; omniout_str(ALWAYS, "Finished!"); if glob_max_iter <= glob_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!") end if; if convfloat(glob_max_sec) <= elapsed_time_seconds() - convfloat(glob_orig_start_sec) then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!") end if; glob_clock_sec := elapsed_time_seconds(); omniout_str(INFO, "diff ( y , x , 1 ) = 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, "2012-06-17T20:05:52-05:00"); 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, " 092 "); logitem_str(html_log_file, "diff0 diffeq.mxt"); logitem_str(html_log_file, "diff0 maple results"); logitem_str(html_log_file, "Mostly affecting speed of factorials"); logend(html_log_file) end if; if glob_html_log then fclose(html_log_file) end if end proc > mainprog(); ##############ECHO OF PROBLEM################# ##############temp/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 := 0.001 ; glob_look_poles := true; glob_max_iter := 1000; glob_max_minutes := 15; #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK exact_soln_y := proc(x) 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 = 0.001 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) = 4.0071716925542110544817441244636 absolute error = 1.470951984908e-19 relative error = 3.6707985026975487257384879981583e-18 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.102 y[1] (analytic) = 4.0101803683339321484713436721111 y[1] (numeric) = 4.0101803683339321487658284066339 absolute error = 2.944847345228e-19 relative error = 7.3434286609194714131903402268726e-18 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.103 y[1] (analytic) = 4.0131920542942724249125763295557 y[1] (numeric) = 4.0131920542942724253547453793789 absolute error = 4.421690498232e-19 relative error = 1.1017889097783442152150097090399e-17 % h = 0.001 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) = 4.0162067534469180955626103203984 absolute error = 5.901485867083e-19 relative error = 1.4694178435953370791570473766388e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.105 y[1] (analytic) = 4.0192244688065685625216077057034 y[1] (numeric) = 4.0192244688065685632600314937879 absolute error = 7.384237880845e-19 relative error = 1.8372295297648820989301585251733e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.106 y[1] (analytic) = 4.0222452033909394386867701481565 y[1] (numeric) = 4.0222452033909394395737652456057 absolute error = 8.869950974492e-19 relative error = 2.2052238304651888308906884668416e-17 % h = 0.001 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) = 4.0252689602207655606025786069387 absolute error = 1.0358629588908e-18 relative error = 2.5734006078291677122671742214075e-17 % h = 0.001 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) = 4.0282957423198040081523371205813 absolute error = 1.1850278170901e-18 relative error = 2.9417597239463590140614131475007e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.109 y[1] (analytic) = 4.0313255527148371321588485093454 y[1] (numeric) = 4.0313255527148371334933386266664 absolute error = 1.3344901173210e-18 relative error = 3.3103010408631155614908669826062e-17 % h = 0.001 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) = 4.0343583944356755841429167648347 absolute error = 1.4842503054509e-18 relative error = 3.6790244205820398642420307030134e-17 % h = 0.001 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) = 4.0373942705151613336763409757974 absolute error = 1.6343088279419e-18 relative error = 4.0479297250634041076260307306446e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.112 y[1] (analytic) = 4.0404331839891707127843766815947 y[1] (numeric) = 4.0404331839891707145690428134457 absolute error = 1.7846661318510e-18 relative error = 4.4170168162240876060825681814729e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.113 y[1] (analytic) = 4.0434751378966174521378787451541 y[1] (numeric) = 4.0434751378966174540732014099853 absolute error = 1.9353226648312e-18 relative error = 4.7862855559387436984331512932035e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.114 y[1] (analytic) = 4.0465201352794557110454450958028 y[1] (numeric) = 4.0465201352794557131317239709351 absolute error = 2.0862788751323e-18 relative error = 5.1557358060402188470416617956270e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.115 y[1] (analytic) = 4.0495681791826831260951250026217 y[1] (numeric) = 4.0495681791826831283326602142231 absolute error = 2.2375352116014e-18 relative error = 5.5253674283192278623864754388392e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.116 y[1] (analytic) = 4.052619272654343854518000584364 y[1] (numeric) = 4.0526192726543438569070927080478 absolute error = 2.3890921236838e-18 relative error = 5.8951802845250164446104863086939e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.117 y[1] (analytic) = 4.0556734187455316222325980442257 y[1] (numeric) = 4.0556734187455316247735481056496 absolute error = 2.5409500614239e-18 relative error = 6.2651742363660195698706435564084e-17 % h = 0.001 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) = 4.0587306205103927776319773216563 absolute error = 2.6931094754653e-18 relative error = 6.6353491455085446732445742562119e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.119 y[1] (analytic) = 4.0617908810061293322647849271863 y[1] (numeric) = 4.0617908810061293351103557442388 absolute error = 2.8455708170525e-18 relative error = 7.0057048735793987585843932032327e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.12 y[1] (analytic) = 4.0648542032930020449686230918988 y[1] (numeric) = 4.0648542032930020479669576299298 absolute error = 2.9983345380310e-18 relative error = 7.3762412821645662896470197692446e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.121 y[1] (analytic) = 4.0679205904343334551999607927883 y[1] (numeric) = 4.0679205904343334583513618836362 absolute error = 3.1514010908479e-18 relative error = 7.7469582328091210019058489560630e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.122 y[1] (analytic) = 4.0709900454965109598224785565521 y[1] (numeric) = 4.0709900454965109631272494851056 absolute error = 3.3047709285535e-18 relative error = 8.1178555870195933458217610577738e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.123 y[1] (analytic) = 4.0740625715489898768016113800976 y[1] (numeric) = 4.0740625715489898802600558848987 absolute error = 3.4584445048011e-18 relative error = 8.4889332062619078524990006397978e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.124 y[1] (analytic) = 4.0771381716642965146601224839288 y[1] (numeric) = 4.0771381716642965182725447577772 absolute error = 3.6124222738484e-18 relative error = 8.8601909519632529597162034328973e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 memory used=3.8MB, alloc=2.9MB, time=0.17 x[1] = 1.125 y[1] (analytic) = 4.080216848918031245004667878777 y[1] (numeric) = 4.080216848918031248771372569335 absolute error = 3.7667046905580e-18 relative error = 9.2316286855117354351993146646345e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.126 y[1] (analytic) = 4.0832986063888715781264242722967 y[1] (numeric) = 4.0832986063888715820477164826947 absolute error = 3.9212922103980e-18 relative error = 9.6032462682562800719469316319850e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.127 y[1] (analytic) = 4.0863834471585752416788559167095 y[1] (numeric) = 4.0863834471585752457550412061526 absolute error = 4.0761852894431e-18 relative error = 9.9750435615077522255039597918349e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.128 y[1] (analytic) = 4.0894713743119832624356990754214 y[1] (numeric) = 4.0894713743119832666670834597966 absolute error = 4.2313843843752e-18 relative error = 1.0347020426538851427313986751180e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.129 y[1] (analytic) = 4.0925623909370230511322458668527 y[1] (numeric) = 4.092562390937023055519135819337 absolute error = 4.3868899524843e-18 relative error = 1.0719176724584737319032992411240e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.13 y[1] (analytic) = 4.0956565001247114903930123270235 y[1] (numeric) = 4.0956565001247114949357147786922 absolute error = 4.5427024516687e-18 relative error = 1.1091512316841942425653662166188e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.131 y[1] (analytic) = 4.0987537049691580257488786188181 y[1] (numeric) = 4.0987537049691580304477009592546 absolute error = 4.6988223404365e-18 relative error = 1.1464027064470460351199989112851e-16 % h = 0.001 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) = 4.1018540085675677646020424832336 absolute error = 4.8552500779060e-18 relative error = 1.1836720828593141600803456552490e-16 % h = 0.001 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) = 4.104957414020244554167115621038 absolute error = 5.0119861238064e-18 relative error = 1.2209593470295821754614297222900e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.134 y[1] (analytic) = 4.1080639244305941052678089798371 y[1] (numeric) = 4.1080639244305941104368399183159 absolute error = 5.1690309384788e-18 relative error = 1.2582644850628178126334617297160e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.135 y[1] (analytic) = 4.1111735429051270973102631241492 y[1] (numeric) = 4.1111735429051271026366481070258 absolute error = 5.3263849828766e-18 relative error = 1.2955874830603121891141295762529e-16 % h = 0.001 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) = 4.1142862725534622644344142067672 absolute error = 5.4840487185669e-18 relative error = 1.3329283271198622313691324327075e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.137 y[1] (analytic) = 4.1174021164883294979174237198279 y[1] (numeric) = 4.1174021164883295035594463275582 absolute error = 5.6420226077303e-18 relative error = 1.3702870033355635540889621303115e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.138 y[1] (analytic) = 4.120521077825573008732346680149 y[1] (numeric) = 4.1205210778255730145326537933115 absolute error = 5.8003071131625e-18 relative error = 1.4076634977980409953962170279038e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.139 y[1] (analytic) = 4.1236431596841543885520986181606 y[1] (numeric) = 4.1236431596841543945110013164357 absolute error = 5.9589026982751e-18 relative error = 1.4450577965944839813304655333575e-16 % h = 0.001 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) = 4.126768365186155762249366068275 absolute error = 6.1178098270955e-18 relative error = 1.4824698858084635185151865524378e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.141 y[1] (analytic) = 4.1298966974567828739058876432372 y[1] (numeric) = 4.1298966974567828801829166075058 absolute error = 6.2770289642686e-18 relative error = 1.5198997515201857416947794991187e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.142 y[1] (analytic) = 4.1330281596243682731965751740702 y[1] (numeric) = 4.1330281596243682796331357491272 absolute error = 6.4365605750570e-18 relative error = 1.5573473798063812576368848367956e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.143 y[1] (analytic) = 4.1361627548203743825442074549888 y[1] (numeric) = 4.136162754820374389140612580331 absolute error = 6.5964051253422e-18 relative error = 1.5948127567404366383923583309844e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.144 y[1] (analytic) = 4.1393004861793966591711688746769 y[1] (numeric) = 4.1393004861793966659277319563017 absolute error = 6.7565630816248e-18 relative error = 1.6322958683922836073204863659985e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.145 y[1] (analytic) = 4.1424413568391667235773580278727 y[1] (numeric) = 4.1424413568391667304943929388988 absolute error = 6.9170349110261e-18 relative error = 1.6697967008286265703082555663499e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.146 y[1] (analytic) = 4.1455853699405554972720696929117 y[1] (numeric) = 4.1455853699405555043498907741996 absolute error = 7.0778210812879e-18 relative error = 1.7073152401127347922516231888900e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.147 y[1] (analytic) = 4.1487325286275763436451780802733 y[1] (numeric) = 4.1487325286275763508841001410473 absolute error = 7.2389220607740e-18 relative error = 1.7448514723046451580758896025216e-16 % h = 0.001 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) = 4.151882836047388219381100542048 absolute error = 7.4003383184707e-18 relative error = 1.7824053834611230334470094676329e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.149 y[1] (analytic) = 4.1550362953502987846163175269177 y[1] (numeric) = 4.1550362953502987921783878509054 absolute error = 7.5620703239877e-18 relative error = 1.8199769596357194475505554388299e-16 % h = 0.001 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) = 4.1581929096897676349748191755655 absolute error = 7.7241185475587e-18 relative error = 1.8575661868787557443298764241883e-16 % h = 0.001 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) = 4.1613526822224093502904413453802 absolute error = 7.8864834600423e-18 relative error = 1.8951730512373802706522416957865e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.152 y[1] (analytic) = 4.1645156161079967260321909494573 y[1] (numeric) = 4.16451561610799673408135648238 absolute error = 8.0491655329227e-18 relative error = 1.9327975387555766566565615728400e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.153 y[1] (analytic) = 4.1676817145094639273006160334744 y[1] (numeric) = 4.167681714509463935512781271785 absolute error = 8.2121652383106e-18 relative error = 1.9704396354742199213926127719092e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.154 y[1] (analytic) = 4.1708509805929096115179766561321 y[1] (numeric) = 4.1708509805929096198934597050761 absolute error = 8.3754830489440e-18 relative error = 2.0080993274311082214410142796141e-16 % h = 0.001 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) = 4.174023417527600134774592230304 absolute error = 8.5391194381887e-18 relative error = 2.0457766006609224557787671129525e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.156 y[1] (analytic) = 4.177199028485972670513372528788 y[1] (numeric) = 4.1771990284859726792164474088274 absolute error = 8.7030748800394e-18 relative error = 2.0834714411953295656526617139263e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.157 y[1] (analytic) = 4.1803778166436384673584754962368 y[1] (numeric) = 4.1803778166436384762258253453573 absolute error = 8.8673498491205e-18 relative error = 2.1211838350630134736640915930855e-16 % h = 0.001 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) = 4.1835597851793859483675453290349 absolute error = 9.0319448206863e-18 relative error = 2.1589137682895623363801925154682e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.159 y[1] (analytic) = 4.1867449372751838873562730266726 y[1] (numeric) = 4.1867449372751838965531332972953 absolute error = 9.1968602706227e-18 relative error = 2.1966612268977144581132831594128e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.16 y[1] (analytic) = 4.1899332761161846726477912360218 y[1] (numeric) = 4.1899332761161846820098879114693 absolute error = 9.3620966754475e-18 relative error = 2.2344261969072688220433321882811e-16 % h = 0.001 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) = 4.1931248048907274114335072134544 absolute error = 9.5276545123109e-18 relative error = 2.2722086643350435986280934141312e-16 % h = 0.001 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) = 4.196319526790341125327461016348 absolute error = 9.6935342589968e-18 relative error = 2.3100086151950253594541888667588e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.163 y[1] (analytic) = 4.199517445009747979672560974756 y[1] (numeric) = 4.1995174450097479895322973686794 absolute error = 9.8597363939234e-18 relative error = 2.3478260354983507967142764553766e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.164 y[1] (analytic) = 4.2027185627468664799218132256705 y[1] (numeric) = 4.2027185627468664899480746218145 absolute error = 1.00262613961440e-17 relative error = 2.3856609112533359860334030368862e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.165 y[1] (analytic) = 4.2059228832028146202600040778825 y[1] (numeric) = 4.2059228832028146304531138232301 absolute error = 1.01931097453476e-17 relative error = 2.4235132284654578353746011048271e-16 % h = 0.001 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=4.0MB, time=0.35 x[1] = 1.166 y[1] (analytic) = 4.2091304095819131236619874328181 y[1] (numeric) = 4.2091304095819131340222693546783 absolute error = 1.03602819218602e-17 relative error = 2.4613829731375017954624571543454e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.167 y[1] (analytic) = 4.2123411450916886365201405271318 y[1] (numeric) = 4.2123411450916886470479189337766 absolute error = 1.05277784066448e-17 relative error = 2.4992701312694001495380773743641e-16 % h = 0.001 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) = 4.2155550929428769468668773002823 absolute error = 1.06955996813032e-17 relative error = 2.5371746888584979030889118599452e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.169 y[1] (analytic) = 4.2187722563494261416326948861554 y[1] (numeric) = 4.2187722563494261524964411142311 absolute error = 1.08637462280757e-17 relative error = 2.5750966318993195539740633008871e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.17 y[1] (analytic) = 4.2219926385284999275505572724101 y[1] (numeric) = 4.2219926385284999385827758022529 absolute error = 1.10322185298428e-17 relative error = 2.6130359463838105090625585047806e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.171 y[1] (analytic) = 4.2252162427004807413638412305939 y[1] (numeric) = 4.2252162427004807525648583007196 absolute error = 1.12010170701257e-17 relative error = 2.6509926183012932584912276592767e-16 % h = 0.001 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) = 4.228443072088973035057192859935 absolute error = 1.13701423330867e-17 relative error = 2.6889666336383999704020615281992e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.173 y[1] (analytic) = 4.2316731299208064319149254888211 y[1] (numeric) = 4.2316731299208064434545202923518 absolute error = 1.15395948035307e-17 relative error = 2.7269579783792652085880545046026e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.174 y[1] (analytic) = 4.2349064194260390670523693028876 y[1] (numeric) = 4.2349064194260390787617442697931 absolute error = 1.17093749669055e-17 relative error = 2.7649666385054342786175788528426e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.175 y[1] (analytic) = 4.2381429438379607037728181905713 y[1] (numeric) = 4.2381429438379607156523014998739 absolute error = 1.18794833093026e-17 relative error = 2.8029925999958898385455996840049e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.176 y[1] (analytic) = 4.2413827063930960237082855228031 y[1] (numeric) = 4.2413827063930960357582058402615 absolute error = 1.20499203174584e-17 relative error = 2.8410358488271725660715099564170e-16 % h = 0.001 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) = 4.2446257103312078641949996410889 absolute error = 1.22206864787546e-17 relative error = 2.8790963709733126682076495368878e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.178 y[1] (analytic) = 4.2478719588953003969330665595226 y[1] (numeric) = 4.2478719588953004093248488407419 absolute error = 1.23917822812193e-17 relative error = 2.9171741524059263613585812621180e-16 % h = 0.001 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) = 4.2511214553316225057610215783849 absolute error = 1.25632082135274e-17 relative error = 2.9552691790941471152952847618748e-16 % h = 0.001 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) = 4.2543742028896708606169933279749 absolute error = 1.27349647650020e-17 relative error = 2.9933814370047921325058894086213e-16 % h = 0.001 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) = 4.2576302048221933030034248031382 absolute error = 1.29070524256146e-17 relative error = 3.0315109121022460853473406918293e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.182 y[1] (analytic) = 4.2608894643851920236967904441737 y[1] (numeric) = 4.2608894643851920367762621301599 absolute error = 1.30794716859862e-17 relative error = 3.0696575903485564770608248239765e-16 % h = 0.001 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) = 4.2641519848379268965392120374562 absolute error = 1.32522230373883e-17 relative error = 3.1078214577035049818557487794841e-16 % h = 0.001 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) = 4.2674177694429186069038480642768 absolute error = 1.34253069717435e-17 relative error = 3.1460025001245845910440190592699e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.185 y[1] (analytic) = 4.2706868214659520314118830673888 y[1] (numeric) = 4.2706868214659520450106070490147 absolute error = 1.35987239816259e-17 relative error = 3.1842007035669298996227758551133e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.186 y[1] (analytic) = 4.2739591441760794925414638581296 y[1] (numeric) = 4.2739591441760795063139384183924 absolute error = 1.37724745602628e-17 relative error = 3.2224160539835517474139686822591e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.187 y[1] (analytic) = 4.2772347408456239596883128614104 y[1] (numeric) = 4.2772347408456239736348720629453 absolute error = 1.39465592015349e-17 relative error = 3.2606485373252199557125877794878e-16 % h = 0.001 TOP MAIN SOLVE Loop 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) = 4.2805136147501823894842738516427 absolute error = 1.41209783999771e-17 relative error = 3.2988981395404866378724152880926e-16 % h = 0.001 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) = 4.2837957691686289316600611091754 absolute error = 1.42957326507798e-17 relative error = 3.3371648465758259879488720745564e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.19 y[1] (analytic) = 4.2870812073831182776508312036078 y[1] (numeric) = 4.2870812073831182921216536533967 absolute error = 1.44708224497889e-17 relative error = 3.3754486443754700560464650109268e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.191 y[1] (analytic) = 4.2903699326790889444986909741357 y[1] (numeric) = 4.2903699326790889591449392676432 absolute error = 1.46462482935075e-17 relative error = 3.4137495188816413797391287566528e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.192 y[1] (analytic) = 4.2936619483452664879390250840762 y[1] (numeric) = 4.2936619483452665027610357631723 absolute error = 1.48220106790961e-17 relative error = 3.4520674560344350596570034681229e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.193 y[1] (analytic) = 4.2969572576736668484840249663801 y[1] (numeric) = 4.2969572576736668634821350707539 absolute error = 1.49981101043738e-17 relative error = 3.4904024417719339643667662824111e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.194 y[1] (analytic) = 4.3002558639595996291431710197145 y[1] (numeric) = 4.3002558639595996443177180875333 absolute error = 1.51745470678188e-17 relative error = 3.5287544620301604892895992856452e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.195 y[1] (analytic) = 4.3035577705016713907331102270859 y[1] (numeric) = 4.3035577705016714060844322956555 absolute error = 1.53513220685696e-17 relative error = 3.5671235027431910578168118346997e-16 % h = 0.001 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) = 4.3068629806017889660129274628018 absolute error = 1.55284356064253e-17 relative error = 3.6055095498430609910042068824885e-16 % h = 0.001 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) = 4.3101714975651626996549480317508 absolute error = 1.57058881818469e-17 relative error = 3.6439125892599016880784931427575e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.198 y[1] (analytic) = 4.3134833247003098302103038103722 y[1] (numeric) = 4.3134833247003098460939841063303 absolute error = 1.58836802959581e-17 relative error = 3.6823326069219611238883315093511e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.199 y[1] (analytic) = 4.3167984653190578004009737941409 y[1] (numeric) = 4.3167984653190578164627862446866 absolute error = 1.60618124505457e-17 relative error = 3.7207695887555314536123067068993e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.2 y[1] (analytic) = 4.3201169227365474895307674296016 y[1] (numeric) = 4.3201169227365475057710525776624 absolute error = 1.62402851480608e-17 relative error = 3.7592235206850619940823917874224e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.201 y[1] (analytic) = 4.3234387002712365916275011886262 y[1] (numeric) = 4.3234387002712366080466000802456 absolute error = 1.64190988916194e-17 relative error = 3.7976943886331327695207664618995e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.202 y[1] (analytic) = 4.3267638012449029181950809525336 y[1] (numeric) = 4.3267638012449029347933351375371 absolute error = 1.65982541850035e-17 relative error = 3.8361821785205436014861297198811e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.203 y[1] (analytic) = 4.3300922289826477199915903308224 y[1] (numeric) = 4.3300922289826477367693418634844 absolute error = 1.67777515326620e-17 relative error = 3.8746868762663564623167946861554e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.204 y[1] (analytic) = 4.3334239868128990121308185110351 y[1] (numeric) = 4.3334239868128990290884099507458 absolute error = 1.69575914397107e-17 relative error = 3.9132084677877298070305647006718e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.205 y[1] (analytic) = 4.3367590780674149025105527415571 y[1] (numeric) = 4.3367590780674149196483271534915 absolute error = 1.71377744119344e-17 relative error = 3.9517469390002377635792946300129e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.206 y[1] (analytic) = 4.3400975060812869235709638759227 y[1] (numeric) = 4.3400975060812869408892648317094 absolute error = 1.73183009557867e-17 relative error = 3.9903022758176577712769402552685e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 memory used=11.4MB, alloc=4.1MB, time=0.54 x[1] = 1.207 y[1] (analytic) = 4.3434392741929433673864167372895 y[1] (numeric) = 4.3434392741929433848855883156807 absolute error = 1.74991715783912e-17 relative error = 4.0288744641520813844603441535850e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.208 y[1] (analytic) = 4.3467843857441526240940403951701 y[1] (numeric) = 4.3467843857441526417744271827125 absolute error = 1.76803867875424e-17 relative error = 4.0674634899139554101839414501718e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.209 y[1] (analytic) = 4.3501328440800265236623967832695 y[1] (numeric) = 4.3501328440800265415243438749761 absolute error = 1.78619470917066e-17 relative error = 4.1060693390121227168854948288276e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.21 y[1] (analytic) = 4.3534846525490236810035894273757 y[1] (numeric) = 4.3534846525490236990474424273982 absolute error = 1.80438530000225e-17 relative error = 4.1446919973537938047580145218984e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.211 y[1] (analytic) = 4.3568398145029528444321573956904 y[1] (numeric) = 4.3568398145029528626582624179925 absolute error = 1.82261050223021e-17 relative error = 4.1833314508445872248437938618581e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.212 y[1] (analytic) = 4.360198333296976247474102930773 y[1] (numeric) = 4.3601983332969762658828065998047 absolute error = 1.84087036690317e-17 relative error = 4.2219876853885926065536666714201e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.213 y[1] (analytic) = 4.363560212289612964029404572405 y[1] (numeric) = 4.3635602122896129826210540237775 absolute error = 1.85916494513725e-17 relative error = 4.2606606868883415856361073059208e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.214 y[1] (analytic) = 4.3669254548427422668913709341673 y[1] (numeric) = 4.366925454842742285666313815329 absolute error = 1.87749428811617e-17 relative error = 4.2993504412448932229894810577192e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.215 y[1] (analytic) = 4.3702940643216069896261936533644 y[1] (numeric) = 4.3702940643216070085847781242774 absolute error = 1.89585844709130e-17 relative error = 4.3380569343577815976719500428164e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.216 y[1] (analytic) = 4.3736660440948168918160613941278 y[1] (numeric) = 4.3736660440948169109586361279458 absolute error = 1.91425747338180e-17 relative error = 4.3767801521251692781995275479836e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.217 y[1] (analytic) = 4.3770413975343520276692001470946 y[1] (numeric) = 4.3770413975343520469961143308408 absolute error = 1.93269141837462e-17 relative error = 4.4155200804436800924779669832108e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.218 y[1] (analytic) = 4.3804201280155661180002084359801 y[1] (numeric) = 4.3804201280155661375118117712268 absolute error = 1.95116033352467e-17 relative error = 4.4542767052086206200541737089928e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.219 y[1] (analytic) = 4.3838022389171899255840594116627 y[1] (numeric) = 4.3838022389171899452807021152112 absolute error = 1.96966427035485e-17 relative error = 4.4930500123138811613427471666905e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.22 y[1] (analytic) = 4.3871877336213346338871451880633 y[1] (numeric) = 4.387187733621334653769177992625 absolute error = 1.98820328045617e-17 relative error = 4.5318399876520421653989644329959e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.221 y[1] (analytic) = 4.3905766155134952291787421511456 y[1] (numeric) = 4.3905766155134952492465163060235 absolute error = 2.00677741548779e-17 relative error = 4.5706466171142978148098780223519e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.222 y[1] (analytic) = 4.3939688879825538860262793527837 y[1] (numeric) = 4.3939688879825539062801466245554 absolute error = 2.02538672717717e-17 relative error = 4.6094698865906301649261685259100e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.223 y[1] (analytic) = 4.3973645544207833561777954850489 y[1] (numeric) = 4.3973645544207833766181081582496 absolute error = 2.04403126732007e-17 relative error = 4.6483097819696412210150219864083e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.224 y[1] (analytic) = 4.4007636182238503608349733176533 y[1] (numeric) = 4.4007636182238503814620841954606 absolute error = 2.06271108778073e-17 relative error = 4.6871662891387946697215123942115e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.225 y[1] (analytic) = 4.4041660827908189863201438718694 y[1] (numeric) = 4.404166082790819007134406276788 absolute error = 2.08142624049186e-17 relative error = 4.7260393939842249384863974764049e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.226 y[1] (analytic) = 4.4075719515241540831406559982103 y[1] (numeric) = 4.4075719515241541041424237727584 absolute error = 2.10017677745481e-17 relative error = 4.7649290823909553837681914853537e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.227 y[1] (analytic) = 4.4109812278297246684540104225264 y[1] (numeric) = 4.4109812278297246896436379299222 absolute error = 2.11896275073958e-17 relative error = 4.8038353402427525940158402202044e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.228 y[1] (analytic) = 4.4143939151168073319371607259328 y[1] (numeric) = 4.4143939151168073533150028507827 absolute error = 2.13778421248499e-17 relative error = 4.8427581534223436743029772804183e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.229 y[1] (analytic) = 4.4178100167980896450633871281557 y[1] (numeric) = 4.4178100167980896666297992771424 absolute error = 2.15664121489867e-17 relative error = 4.8816975078112249380812028963010e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.23 y[1] (analytic) = 4.4212295362896735737901523514522 y[1] (numeric) = 4.4212295362896735955454904540245 absolute error = 2.17553381025723e-17 relative error = 4.9206533892898784677217390066062e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.231 y[1] (analytic) = 4.4246524770110788946613522532473 y[1] (numeric) = 4.42465247701107891660597276231 absolute error = 2.19446205090627e-17 relative error = 4.9596257837376259162380865626849e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.232 y[1] (analytic) = 4.4280788423852466143273773300196 y[1] (numeric) = 4.4280788423852466364616372226252 absolute error = 2.21342598926056e-17 relative error = 4.9986146770328667556606146329553e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.233 y[1] (analytic) = 4.431508635838542392486404612786 y[1] (numeric) = 4.4315086358385424148106613908262 absolute error = 2.23242567780402e-17 relative error = 5.0376200550528639614392804032262e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.234 y[1] (analytic) = 4.4349418608007599682503428957595 y[1] (numeric) = 4.4349418608007599907649545866583 absolute error = 2.25146116908988e-17 relative error = 5.0766419036739364133165205372814e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.235 y[1] (analytic) = 4.4383785207051245899388576644125 y[1] (numeric) = 4.43837852070512461264418282182 absolute error = 2.27053251574075e-17 relative error = 5.1156802087714474813499465401814e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.236 y[1] (analytic) = 4.4418186189882964483049055172559 y[1] (numeric) = 4.4418186189882964712013032217428 absolute error = 2.28963977044869e-17 relative error = 5.1547349562197935185508368343238e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.237 y[1] (analytic) = 4.4452621590903741131952113071546 y[1] (numeric) = 4.4452621590903741362830411669075 absolute error = 2.30878298597529e-17 relative error = 5.1938061318924147566169161724863e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.238 y[1] (analytic) = 4.4487091444548979736491246629424 y[1] (numeric) = 4.4487091444548979969287468144604 absolute error = 2.32796221515180e-17 relative error = 5.2328937216619183970852032749991e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.239 y[1] (analytic) = 4.4521595785288536814392959904806 y[1] (numeric) = 4.4521595785288537049110710992722 absolute error = 2.34717751087916e-17 relative error = 5.2719977113999763738447425827957e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.24 y[1] (analytic) = 4.455613464762675598057615494122 y[1] (numeric) = 4.4556134647626756217219047554035 absolute error = 2.36642892612815e-17 relative error = 5.3111180869774927667872362813715e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.241 y[1] (analytic) = 4.4590708066102502451498622048078 y[1] (numeric) = 4.4590708066102502690070273442019 absolute error = 2.38571651393941e-17 relative error = 5.3502548342644787497406396785589e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.242 y[1] (analytic) = 4.4625316075289197584025134497329 y[1] (numeric) = 4.4625316075289197824529167239686 absolute error = 2.40504032742357e-17 relative error = 5.3894079391301744689026871934070e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.243 y[1] (analytic) = 4.4659958709794853448851686506773 y[1] (numeric) = 4.4659958709794853691291728482907 absolute error = 2.42440041976134e-17 relative error = 5.4285773874430806415914769657435e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.244 y[1] (analytic) = 4.4694636004262107438520447937159 y[1] (numeric) = 4.4694636004262107682900132357515 absolute error = 2.44379684420356e-17 relative error = 5.4677631650709003635712170852657e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.245 y[1] (analytic) = 4.4729347993368256910060043720902 y[1] (numeric) = 4.4729347993368257156383009128034 absolute error = 2.46322965407132e-17 relative error = 5.5069652578806375356843861738630e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.246 y[1] (analytic) = 4.476409471182529386228580066558 y[1] (numeric) = 4.4764094711825294110555690941183 absolute error = 2.48269890275603e-17 relative error = 5.5461836517385829876726153469647e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.247 y[1] (analytic) = 4.4798876194379939647794638935359 y[1] (numeric) = 4.4798876194379939898015103307313 absolute error = 2.50220464371954e-17 relative error = 5.5854183325104121277270510477995e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.248 y[1] (analytic) = 4.4833692475813679719689320208126 y[1] (numeric) = 4.4833692475813679971864013257542 absolute error = 2.52174693049416e-17 relative error = 5.6246692860610589418549271239886e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 memory used=15.2MB, alloc=4.1MB, time=0.74 x[1] = 1.249 y[1] (analytic) = 4.4868543590942798413066799235461 y[1] (numeric) = 4.4868543590942798667199380903744 absolute error = 2.54132581668283e-17 relative error = 5.6639364982549247406435403101370e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.25 y[1] (analytic) = 4.4903429574618413761305460296723 y[1] (numeric) = 4.4903429574618414017399595892637 absolute error = 2.56094135595914e-17 relative error = 5.7032199549557517344945295852954e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.251 y[1] (analytic) = 4.4938350461726512347186054837364 y[1] (numeric) = 4.493835046172651260524541504411 absolute error = 2.58059360206746e-17 relative error = 5.7425196420267418274543045292869e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.252 y[1] (analytic) = 4.4973306287187984188881191415326 y[1] (numeric) = 4.4973306287187984448909452297627 absolute error = 2.60028260882301e-17 relative error = 5.7818355453305412954275864302235e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.253 y[1] (analytic) = 4.5008297085958657660848263947917 y[1] (numeric) = 4.500829708595865792284910695911 absolute error = 2.62000843011193e-17 relative error = 5.8211676507292253853675507671244e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.254 y[1] (analytic) = 4.5043322893029334449660739154997 y[1] (numeric) = 4.5043322893029334713637851144139 absolute error = 2.63977111989142e-17 relative error = 5.8605159440844382419806635432712e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.255 y[1] (analytic) = 4.5078383743425824544812759032684 y[1] (numeric) = 4.5078383743425824810769832251662 absolute error = 2.65957073218978e-17 relative error = 5.8998804112573101955597024636497e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.256 y[1] (analytic) = 4.5113479672208981264532049165091 y[1] (numeric) = 4.5113479672208981532472781275743 absolute error = 2.67940732110652e-17 relative error = 5.9392610381085304484927373230069e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.257 y[1] (analytic) = 4.5148610714474736316636158689929 y[1] (numeric) = 4.5148610714474736586564252771172 absolute error = 2.69928094081243e-17 relative error = 5.9786578104983306754473264842780e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.258 y[1] (analytic) = 4.5183776905354134894467092777124 y[1] (numeric) = 4.5183776905354135166386257332096 absolute error = 2.71919164554972e-17 relative error = 6.0180707142866234715156688813868e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.259 y[1] (analytic) = 4.5218978280013370807939433558024 y[1] (numeric) = 4.5218978280013371081853382521227 absolute error = 2.73913948963203e-17 relative error = 6.0574997353328525125279698119531e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.26 y[1] (analytic) = 4.5254214873653821649737080556228 y[1] (numeric) = 4.5254214873653821925649533300685 absolute error = 2.75912452744457e-17 relative error = 6.0969448594961305286063807372053e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.261 y[1] (analytic) = 4.5289486721512083996693776819714 y[1] (numeric) = 4.5289486721512084274608458164135 absolute error = 2.77914681344421e-17 relative error = 6.1364060726352660810273299631719e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.262 y[1] (analytic) = 4.5324793858860008646392622137731 y[1] (numeric) = 4.5324793858860008926313262353686 absolute error = 2.79920640215955e-17 relative error = 6.1758833606087459353308054077853e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.263 y[1] (analytic) = 4.5360136321004735889019809944896 y[1] (numeric) = 4.5360136321004736170950144763997 absolute error = 2.81930334819101e-17 relative error = 6.2153767092747614554879230515866e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.264 y[1] (analytic) = 4.5395514143288730814507859769173 y[1] (numeric) = 4.5395514143288731098451630390268 absolute error = 2.83943770621095e-17 relative error = 6.2548861044913008077877544713993e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.265 y[1] (analytic) = 4.5430927361089818655003652369921 y[1] (numeric) = 4.5430927361089818940964605466291 absolute error = 2.85960953096370e-17 relative error = 6.2944115321160424775892097432149e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.266 y[1] (analytic) = 4.546637600982122016269661003697 y[1] (numeric) = 4.546637600982122045067849776354 absolute error = 2.87981887726570e-17 relative error = 6.3339529780064910672192217859101e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.267 y[1] (analytic) = 4.5501860124931587023042399881873 y[1] (numeric) = 4.5501860124931587313048979882431 absolute error = 2.90006580000558e-17 relative error = 6.3735104280199804429874646797931e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.268 y[1] (analytic) = 4.5537379741905037303417573347981 y[1] (numeric) = 4.5537379741905037595452608762404 absolute error = 2.92035035414423e-17 relative error = 6.4130838680136547531948206530724e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.269 y[1] (analytic) = 4.5572934896261190937240590596928 y[1] (numeric) = 4.557293489626119123130785006842 absolute error = 2.94067259471492e-17 relative error = 6.4526732838445590949347340917084e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.27 y[1] (analytic) = 4.5608525623555205243594713895519 y[1] (numeric) = 4.5608525623555205539697971577856 absolute error = 2.96103257682337e-17 relative error = 6.4922786613696199737013260893717e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.271 y[1] (analytic) = 4.5644151959377810482388289628871 y[1] (numeric) = 4.5644151959377810780531325193653 absolute error = 2.98143035564782e-17 relative error = 6.5318999864456256994210248301340e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.272 y[1] (analytic) = 4.5679813939355345445087974103041 y[1] (numeric) = 4.5679813939355345745274572746957 absolute error = 3.00186598643916e-17 relative error = 6.5715372449293380685279937316725e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.273 y[1] (analytic) = 4.5715511599149793081060493873352 y[1] (numeric) = 4.5715511599149793383294446325452 absolute error = 3.02233952452100e-17 relative error = 6.6111904226774721217335558547526e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 8.009e-16 Order of pole = 0.5 x[1] = 1.274 y[1] (analytic) = 4.5751244974458816159558566943127 y[1] (numeric) = 4.5751244974458816463843669472103 absolute error = 3.04285102528976e-17 relative error = 6.6508595055467195554594453794051e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.275 y[1] (analytic) = 4.578701410101579296738664682174 y[1] (numeric) = 4.5787014101015793273726701243218 absolute error = 3.06340054421478e-17 relative error = 6.6905444793938155484535998162832e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.276 y[1] (analytic) = 4.5822819014589853042282187110692 y[1] (numeric) = 4.5822819014589853350681000794528 absolute error = 3.08398813683836e-17 relative error = 6.7302453300754523569510897803225e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.277 y[1] (analytic) = 4.5858659750985912942048160001958 y[1] (numeric) = 4.5858659750985913252509545879549 absolute error = 3.10461385877591e-17 relative error = 6.7699620434484330258733604220717e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.278 y[1] (analytic) = 4.5894536346044712049472597824105 y[1] (numeric) = 4.5894536346044712362000374395706 absolute error = 3.12527776571601e-17 relative error = 6.8096946053696281217446037704218e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.279 y[1] (analytic) = 4.5930448835642848413070962558706 y[1] (numeric) = 4.5930448835642848727668953900757 absolute error = 3.14597991342051e-17 relative error = 6.8494430016960195994553185709351e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.28 y[1] (analytic) = 4.5966397255692814623687184072408 y[1] (numeric) = 4.5966397255692814940359219844868 absolute error = 3.16672035772460e-17 relative error = 6.8892072182846790413215965648641e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.281 y[1] (analytic) = 4.6002381642143033726989243668673 y[1] (numeric) = 4.6002381642143034045739159122366 absolute error = 3.18749915453693e-17 relative error = 6.9289872409928545310132374758621e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.282 y[1] (analytic) = 4.6038402030977895171895215457785 y[1] (numeric) = 4.6038402030977895492726851441752 absolute error = 3.20831635983967e-17 relative error = 6.9687830556779266366701774313802e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 8.009e-16 Order of pole = 0.5 x[1] = 1.283 y[1] (analytic) = 4.6074458458217790794965713974139 y[1] (numeric) = 4.6074458458217791117882916943005 absolute error = 3.22917202968866e-17 relative error = 7.0085946481975597786846288318473e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.284 y[1] (analytic) = 4.611055095991915084079873243628 y[1] (numeric) = 4.6110550959919151165805354457622 absolute error = 3.25006622021342e-17 relative error = 7.0484220044095491109862076794862e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.285 y[1] (analytic) = 4.6146679572174480018462892047514 y[1] (numeric) = 4.6146679572174480345562790809244 absolute error = 3.27099898761730e-17 relative error = 7.0882651101719713428205681456183e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.286 y[1] (analytic) = 4.6182844331112393594005158773358 y[1] (numeric) = 4.6182844331112393923202197591113 absolute error = 3.29197038817755e-17 relative error = 7.1281239513431614700040526306217e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.287 y[1] (analytic) = 4.6219045272897653519069120106541 y[1] (numeric) = 4.6219045272897653850367167931083 absolute error = 3.31298047824542e-17 relative error = 7.1679985137817543646949952812426e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.288 y[1] (analytic) = 4.6255282433731204595659950440859 y[1] (numeric) = 4.6255282433731204929062881865483 absolute error = 3.33402931424624e-17 relative error = 7.2078887833466827725209297436978e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.289 y[1] (analytic) = 4.6291555849850210677092229821847 y[1] (numeric) = 4.6291555849850211012603925089799 absolute error = 3.35511695267952e-17 relative error = 7.2477947458972183642335373903438e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.29 y[1] (analytic) = 4.6327865557528090905156817025115 y[1] (numeric) = 4.632786555752809124278116203702 absolute error = 3.37624345011905e-17 relative error = 7.2877163872930124350496259267855e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 memory used=19.0MB, alloc=4.1MB, time=0.93 x[1] = 1.291 y[1] (analytic) = 4.6364211593074555983543014132237 y[1] (numeric) = 4.6364211593074556323283900453535 absolute error = 3.39740886321298e-17 relative error = 7.3276536933940931161134001701104e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.292 y[1] (analytic) = 4.6400593992835644487552296029379 y[1] (numeric) = 4.6400593992835644829413620897769 absolute error = 3.41861324868390e-17 relative error = 7.3676066500608624388926982637498e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.293 y[1] (analytic) = 4.6437012793193759210139914545421 y[1] (numeric) = 4.6437012793193759554125580878317 absolute error = 3.43985666332896e-17 relative error = 7.4075752431541793914425459449492e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.294 y[1] (analytic) = 4.6473468030567703544320723274211 y[1] (numeric) = 4.6473468030567703890434639676206 absolute error = 3.46113916401995e-17 relative error = 7.4475594585353563530655698193789e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.295 y[1] (analytic) = 4.6509959741412717901975605489803 y[1] (numeric) = 4.6509959741412718250221686260142 absolute error = 3.48246080770339e-17 relative error = 7.4875592820661768854956549077937e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.296 y[1] (analytic) = 4.6546487962220516169094923964141 y[1] (numeric) = 4.6546487962220516519477089104203 absolute error = 3.50382165140062e-17 relative error = 7.5275746996089132793392505580534e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.297 y[1] (analytic) = 4.658305272951932219749544793368 y[1] (numeric) = 4.6583052729519322550017623154472 absolute error = 3.52522175220792e-17 relative error = 7.5676056970264082578228140727705e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.298 y[1] (analytic) = 4.6619654079873906333047248934913 y[1] (numeric) = 4.6619654079873906687713365664568 absolute error = 3.54666116729655e-17 relative error = 7.6076522601819845328716718579866e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.299 y[1] (analytic) = 4.665629204988562198044709373874 y[1] (numeric) = 4.6656292049885622337261089130028 absolute error = 3.56813995391288e-17 relative error = 7.6477143749395475250655260302218e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.3 y[1] (analytic) = 4.6692966676192442204574899160115 y[1] (numeric) = 4.6692966676192442563540716097965 absolute error = 3.58965816937850e-17 relative error = 7.6877920271636446052999833422691e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.301 y[1] (analytic) = 4.6729677995468996368469850102494 y[1] (numeric) = 4.672967799546899672959143721152 absolute error = 3.61121587109026e-17 relative error = 7.7278852027193740970688818496893e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.302 y[1] (analytic) = 4.6766426044426606807962818816229 y[1] (numeric) = 4.6766426044426607171244130468271 absolute error = 3.63281311652042e-17 relative error = 7.7679938874725297561673698740617e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.303 y[1] (analytic) = 4.6803210859813325543001760006409 y[1] (numeric) = 4.6803210859813325908446756328078 absolute error = 3.65444996321669e-17 relative error = 7.8081180672895093804764961436997e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.304 y[1] (analytic) = 4.684003247841397102570679311858 y[1] (numeric) = 4.6840032478413971393319439998817 absolute error = 3.67612646880237e-17 relative error = 7.8482577280374371797273346104386e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.305 y[1] (analytic) = 4.6876890937050164925191719860508 y[1] (numeric) = 4.6876890937050165294975988958148 absolute error = 3.69784269097640e-17 relative error = 7.8884128555840934131279335000586e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.306 y[1] (analytic) = 4.6913786272580368949188761784555 y[1] (numeric) = 4.6913786272580369321148630535904 absolute error = 3.71959868751349e-17 relative error = 7.9285834357980147205716988960665e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.550e-16 Order of pole = 0.5 x[1] = 1.307 y[1] (analytic) = 4.6950718521899921702513339558475 y[1] (numeric) = 4.6950718521899922076652791184897 absolute error = 3.74139451626422e-17 relative error = 7.9687694545485299203676140204619e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.308 y[1] (analytic) = 4.6987687721941075582405752392492 y[1] (numeric) = 4.6987687721941075958728775908002 absolute error = 3.76323023515510e-17 relative error = 8.0089708977057103449708796763126e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.309 y[1] (analytic) = 4.70246939096730337107866529674 y[1] (numeric) = 4.7024693909673034089297243186266 absolute error = 3.78510590218866e-17 relative error = 8.0491877511403840427501019157626e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.550e-16 Order of pole = 0.5 x[1] = 1.31 y[1] (analytic) = 4.7061737122101986903463250122245 y[1] (numeric) = 4.7061737122101987284165407666604 absolute error = 3.80702157544359e-17 relative error = 8.0894200007242559919739728167991e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.311 y[1] (analytic) = 4.7098817396271150676323208510871 y[1] (numeric) = 4.709881739627115105922093981835 absolute error = 3.82897731307479e-17 relative error = 8.1296676323298364950566723484293e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.312 y[1] (analytic) = 4.7135934769260802288553251424314 y[1] (numeric) = 4.7135934769260802673650568755663 absolute error = 3.85097317331349e-17 relative error = 8.1699306318305182520882847807181e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.313 y[1] (analytic) = 4.7173089278188317822919510000733 y[1] (numeric) = 4.7173089278188318210220431447467 absolute error = 3.87300921446734e-17 relative error = 8.2102089851005893097280067708939e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.314 y[1] (analytic) = 4.721028096020820930314669910632 y[1] (numeric) = 4.7210280960208209692655248598369 absolute error = 3.89508549492049e-17 relative error = 8.2505026780152246013407431179332e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 8.009e-16 Order of pole = 0.5 x[1] = 1.315 y[1] (analytic) = 4.724750985251216184843323726945 y[1] (numeric) = 4.724750985251216224015344458282 absolute error = 3.91720207313370e-17 relative error = 8.2908116964505408566761303213951e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.316 y[1] (analytic) = 4.7284775992329070865139465186297 y[1] (numeric) = 4.7284775992329071259075365950742 absolute error = 3.93935900764445e-17 relative error = 8.3311360262836510861446289066255e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.317 y[1] (analytic) = 4.7322079416925079275686154489233 y[1] (numeric) = 4.732207941692507967184179019593 absolute error = 3.96155635706697e-17 relative error = 8.3714756533925495867338101366079e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.318 y[1] (analytic) = 4.7359420163603614784700535679605 y[1] (numeric) = 4.7359420163603615183079953688847 absolute error = 3.98379418009242e-17 relative error = 8.4118305636563140517641900569140e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.319 y[1] (analytic) = 4.7396798269705427182447111374053 y[1] (numeric) = 4.7396798269705427583054364922946 absolute error = 4.00607253548893e-17 relative error = 8.4522007429550111800700515166376e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.32 y[1] (analytic) = 4.7434213772608625685580558298259 y[1] (numeric) = 4.7434213772608626088419706508431 absolute error = 4.02839148210172e-17 relative error = 8.4925861771697712185191033854668e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.321 y[1] (analytic) = 4.7471666709728716315258058784167 y[1] (numeric) = 4.7471666709728716720333166669485 absolute error = 4.05075107885318e-17 relative error = 8.5329868521827777239868198009202e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.322 y[1] (analytic) = 4.7509157118518639312648439886101 y[1] (numeric) = 4.7509157118518639719963578360398 absolute error = 4.07315138474297e-17 relative error = 8.5734027538772993031880047477073e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.323 y[1] (analytic) = 4.7546685036468806591875535628052 y[1] (numeric) = 4.7546685036468807001434781512864 absolute error = 4.09559245884812e-17 relative error = 8.6138338681377210345650456134483e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.324 y[1] (analytic) = 4.7584250501107139230433225328607 y[1] (numeric) = 4.758425050110713964224066136092 absolute error = 4.11807436032313e-17 relative error = 8.6542801808495755733427110883820e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.325 y[1] (analytic) = 4.7621853549999104997109638421691 y[1] (numeric) = 4.7621853549999105411169353261695 absolute error = 4.14059714840004e-17 relative error = 8.6947416778995109445699571545009e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.326 y[1] (analytic) = 4.7659494220747755917458053700446 y[1] (numeric) = 4.7659494220747756333774141939302 absolute error = 4.16316088238856e-17 relative error = 8.7352183451753842131333251686503e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.327 y[1] (analytic) = 4.7697172550993765876852058458285 y[1] (numeric) = 4.76971725509937662954286206259 absolute error = 4.18576562167615e-17 relative error = 8.7757101685662497134609551423585e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.328 y[1] (analytic) = 4.7734888578415468261162570585405 y[1] (numeric) = 4.7734888578415468682003713158218 absolute error = 4.20841142572813e-17 relative error = 8.8162171339624100127153956775309e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.329 y[1] (analytic) = 4.777264234072889363509436430093 y[1] (numeric) = 4.7772642340728894058204199709703 absolute error = 4.23109835408773e-17 relative error = 8.8567392272553408681635633285706e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.33 y[1] (analytic) = 4.7810433875687807458219777860331 y[1] (numeric) = 4.7810433875687807883602424497956 absolute error = 4.25382646637625e-17 relative error = 8.8972764343378464458793694129669e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.331 y[1] (analytic) = 4.7848263221083747838747319274995 y[1] (numeric) = 4.7848263221083748266406901504306 absolute error = 4.27659582229311e-17 relative error = 8.9378287411039837407652282220689e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.332 y[1] (analytic) = 4.7886130414746063325062923815678 y[1] (numeric) = 4.7886130414746063755003571977277 absolute error = 4.29940648161599e-17 relative error = 8.9783961334491751302305762822134e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.333 y[1] (analytic) = 4.792403549454195073508165484426 y[1] (numeric) = 4.7924035494541951167307505264346 absolute error = 4.32225850420086e-17 relative error = 9.0189785972700906939096209088158e-16 % memory used=22.8MB, alloc=4.1MB, time=1.11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.334 y[1] (analytic) = 4.7961978498376493023447677328647 y[1] (numeric) = 4.7961978498376493457962872326861 absolute error = 4.34515194998214e-17 relative error = 9.0595761184648019687706256256679e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.335 y[1] (analytic) = 4.7999959464192697186620371243952 y[1] (numeric) = 4.7999959464192697623429059141231 absolute error = 4.36808687897279e-17 relative error = 9.1001886829327889709712091094514e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.336 y[1] (analytic) = 4.8037978429971532205884489949236 y[1] (numeric) = 4.803797842997153264499082507567 absolute error = 4.39106335126434e-17 relative error = 9.1408162765748221115517336563655e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.337 y[1] (analytic) = 4.8076035433731967028322306553107 y[1] (numeric) = 4.8076035433731967469730449255818 absolute error = 4.41408142702711e-17 relative error = 9.1814588852932397085594865768353e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.338 y[1] (analytic) = 4.811413051353100858578572924352 y[1] (numeric) = 4.8114130513531009029499845894537 absolute error = 4.43714116651017e-17 relative error = 9.2221164949916836287242337819836e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.339 y[1] (analytic) = 4.8152263707463739851906404557028 y[1] (numeric) = 4.8152263707463740297930667561182 absolute error = 4.46024263004154e-17 relative error = 9.2627890915753344305888832760809e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.34 y[1] (analytic) = 4.8190435053663357937181865600786 y[1] (numeric) = 4.819043505366335838552045340361 absolute error = 4.48338587802824e-17 relative error = 9.3034766609508339545633448705178e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.341 y[1] (analytic) = 4.8228644590301212222175820316614 y[1] (numeric) = 4.8228644590301212672832917412255 absolute error = 4.50657097095641e-17 relative error = 9.3441791890263532496687217719215e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.342 y[1] (analytic) = 4.8266892355586842528870712990595 y[1] (numeric) = 4.8266892355586842981850509929732 absolute error = 4.52979796939137e-17 relative error = 9.3848966617115356961922412157446e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.343 y[1] (analytic) = 4.8305178387768017330210730363942 y[1] (numeric) = 4.8305178387768017785517423761718 absolute error = 4.55306693397776e-17 relative error = 9.4256290649176058394172951312899e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.344 y[1] (analytic) = 4.8343502725130771997873461891328 y[1] (numeric) = 4.8343502725130772455511254435294 absolute error = 4.57637792543966e-17 relative error = 9.4663763845574361626393563126105e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.345 y[1] (analytic) = 4.8381865405999447088308461921537 y[1] (numeric) = 4.8381865405999447548281562379595 absolute error = 4.59973100458058e-17 relative error = 9.5071386065453446730645603407911e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.346 y[1] (analytic) = 4.8420266468736726667080999842164 y[1] (numeric) = 4.8420266468736727129393623070531 absolute error = 4.62312623228367e-17 relative error = 9.5479157167973476315730050496362e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.347 y[1] (analytic) = 4.8458705951743676671559322535332 y[1] (numeric) = 4.8458705951743677136215689486509 absolute error = 4.64656366951177e-17 relative error = 9.5887077012310807294878278987527e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.348 y[1] (analytic) = 4.8497183893459783311983791834874 y[1] (numeric) = 4.8497183893459783778988129565627 absolute error = 4.67004337730753e-17 relative error = 9.6295145457658648037440525591433e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.349 y[1] (analytic) = 4.853570033236299151095629805732 y[1] (numeric) = 4.8535700332362991980312839736667 absolute error = 4.69356541679347e-17 relative error = 9.6703362363226474446438982023267e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.35 y[1] (analytic) = 4.8574255306969743381388389099302 y[1] (numeric) = 4.8574255306969743853101374016514 absolute error = 4.71712984917212e-17 relative error = 9.7111727588241094030455767070491e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.351 y[1] (analytic) = 4.8612848855835016742946593052721 y[1] (numeric) = 4.861284885583501721702026662533 absolute error = 4.74073673572609e-17 relative error = 9.7520240991946263215878303424062e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.352 y[1] (analytic) = 4.8651481017552363677033450786199 y[1] (numeric) = 4.8651481017552364153472064568019 absolute error = 4.76438613781820e-17 relative error = 9.7928902433603537988754433946409e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.353 y[1] (analytic) = 4.8690151830753949120342813477067 y[1] (numeric) = 4.8690151830753949599150625166221 absolute error = 4.78807811689154e-17 relative error = 9.8337711772491681070048632131168e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.354 y[1] (analytic) = 4.8728861334110589497027998652402 y[1] (numeric) = 4.8728861334110589978209272099362 absolute error = 4.81181273446960e-17 relative error = 9.8746668867907506676086694206206e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.355 y[1] (analytic) = 4.8767609566331791389521436910487 y[1] (numeric) = 4.8767609566331791873080442126123 absolute error = 4.83559005215636e-17 relative error = 9.9155773579165899281574304190571e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.356 y[1] (analytic) = 4.8806396566165790248044480145565 y[1] (numeric) = 4.8806396566165790733985493309203 absolute error = 4.85941013163638e-17 relative error = 9.9565025765599830529430242456973e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.357 y[1] (analytic) = 4.884522237239958913884608078892 y[1] (numeric) = 4.8845222372399589627173384256411 absolute error = 4.88327303467491e-17 relative error = 9.9974425286560783752656498865522e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.358 y[1] (analytic) = 4.888408702385899753120909030819 y[1] (numeric) = 4.888408702385899802192697261999 absolute error = 4.90717882311800e-17 relative error = 1.0038397200141917470699979456559e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.359 y[1] (analytic) = 4.892299055940867012326296397445 y[1] (numeric) = 4.8922990559408670616375719863709 absolute error = 4.93112755889259e-17 relative error = 1.0079366576956435972125475275172e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.36 y[1] (analytic) = 4.8961933017952145706641697713002 y[1] (numeric) = 4.896193301795214620215362811366 absolute error = 4.95511930400658e-17 relative error = 1.0120350645040423355383641160583e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.361 y[1] (analytic) = 4.9000914438431886070025861699043 y[1] (numeric) = 4.9000914438431886567941273753941 absolute error = 4.97915412054898e-17 relative error = 1.0161349390336646001709210392951e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.362 y[1] (analytic) = 4.9039934859829314941607634243494 y[1] (numeric) = 4.9039934859829315441930841312491 absolute error = 5.00323207068997e-17 relative error = 1.0202362798789785971792612914292e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.363 y[1] (analytic) = 4.9078994321164856970517778437259 y[1] (numeric) = 4.9078994321164857473253100105364 absolute error = 5.02735321668105e-17 relative error = 1.0243390856346563271617718635594e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.364 y[1] (analytic) = 4.9118092861497976747253542984159 y[1] (numeric) = 4.9118092861497977252405305069666 absolute error = 5.05151762085507e-17 relative error = 1.0284433548955613047493030443921e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.365 y[1] (analytic) = 4.9157230519927217863146507653665 y[1] (numeric) = 4.9157230519927218370719042216304 absolute error = 5.07572534562639e-17 relative error = 1.0325490862567627646103584474431e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.366 y[1] (analytic) = 4.9196407335590242008909432824553 y[1] (numeric) = 4.919640733559024251890707817365 absolute error = 5.09997645349097e-17 relative error = 1.0366562783135355531290167669367e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.367 y[1] (analytic) = 4.9235623347663868112301211669584 y[1] (numeric) = 4.9235623347663868624728312372229 absolute error = 5.12427100702645e-17 relative error = 1.0407649296613579716114325351942e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.368 y[1] (analytic) = 4.9274878595364111514949062649416 y[1] (numeric) = 4.9274878595364112029809969538639 absolute error = 5.14860906889223e-17 relative error = 1.0448750388959096118632486625631e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 8.009e-16 Order of pole = 0.5 x[1] = 1.369 y[1] (analytic) = 4.9314173117946223188367139141204 y[1] (numeric) = 4.9314173117946223705666209324171 absolute error = 5.17299070182967e-17 relative error = 1.0489866046130935179770050589800e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 8.009e-16 Order of pole = 0.5 x[1] = 1.37 y[1] (analytic) = 4.9353506954704728989210772223787 y[1] (numeric) = 4.9353506954704729508952369089992 absolute error = 5.19741596866205e-17 relative error = 1.0530996254090095954936233244593e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.371 y[1] (analytic) = 4.9392880144973468953805601876939 y[1] (numeric) = 4.9392880144973469475994095106419 absolute error = 5.22188493229480e-17 relative error = 1.0572140998799827933403312343866e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.372 y[1] (analytic) = 4.9432292728125636631990891127129 y[1] (numeric) = 4.9432292728125637156630656698681 absolute error = 5.24639765571552e-17 relative error = 1.0613300266225486507647454909801e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.373 y[1] (analytic) = 4.9471744743573818460316356986353 y[1] (numeric) = 4.9471744743573818987411777185764 absolute error = 5.27095420199411e-17 relative error = 1.0654474042334611301653945413974e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.374 y[1] (analytic) = 4.9511236230770033174631891384162 y[1] (numeric) = 4.951123623077003370418735481245 absolute error = 5.29555463428288e-17 relative error = 1.0695662313096963549485083550391e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.375 y[1] (analytic) = 4.9550767229205771262109584685895 y[1] (numeric) = 4.9550767229205771794129486267557 absolute error = 5.32019901581662e-17 relative error = 1.0736865064484482388691062111786e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 memory used=26.7MB, alloc=4.1MB, time=1.30 x[1] = 1.376 y[1] (analytic) = 4.9590337778412034452737503822416 y[1] (numeric) = 4.9590337778412034987226244813691 absolute error = 5.34488740991275e-17 relative error = 1.0778082282471402503322995405273e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.377 y[1] (analytic) = 4.9629947917959375250324716528437 y[1] (numeric) = 4.9629947917959375787286704525576 absolute error = 5.36961987997139e-17 relative error = 1.0819313953034209829714218569914e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.378 y[1] (analytic) = 4.966959768745793650305709269774 y[1] (numeric) = 4.9669597687457937042496741645284 absolute error = 5.39439648947544e-17 relative error = 1.0860560062151617425157196179881e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.379 y[1] (analytic) = 4.9709287126557491013643453414388 y[1] (numeric) = 4.9709287126557491555565183613461 absolute error = 5.41921730199073e-17 relative error = 1.0901820595804682089165668928458e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 8.009e-16 Order of pole = 0.5 x[1] = 1.38 y[1] (analytic) = 4.9749016274947481189091677809396 y[1] (numeric) = 4.9749016274947481733499915926006 absolute error = 5.44408238116610e-17 relative error = 1.0943095539976779538148078575285e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.381 y[1] (analytic) = 4.9788785172357058730154417522248 y[1] (numeric) = 4.9788785172357059277053596595601 absolute error = 5.46899179073353e-17 relative error = 1.0984384880653679940383230163742e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.382 y[1] (analytic) = 4.982859385855512436048410821631 y[1] (numeric) = 4.9828593858555124909878667667125 absolute error = 5.49394559450815e-17 relative error = 1.1025688603823382080735127314453e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.383 y[1] (analytic) = 4.9868442373350367595537007306426 y[1] (numeric) = 4.9868442373350368147431392945273 absolute error = 5.51894385638847e-17 relative error = 1.1067006695476389297696943662402e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.384 y[1] (analytic) = 4.9908330756591306551266026806085 y[1] (numeric) = 4.9908330756591307105664690841726 absolute error = 5.54398664035641e-17 relative error = 1.1108339141605583180965239694745e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 8.009e-16 Order of pole = 0.5 x[1] = 1.385 y[1] (analytic) = 4.9948259048166327792642169990288 y[1] (numeric) = 4.9948259048166328349549571038027 absolute error = 5.56907401047739e-17 relative error = 1.1149685928206217814258742041072e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.550e-16 Order of pole = 0.5 x[1] = 1.386 y[1] (analytic) = 4.9988227288003726222044420398869 y[1] (numeric) = 4.9988227288003726781465023488918 absolute error = 5.59420603090049e-17 relative error = 1.1191047041276053895376427926083e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.387 y[1] (analytic) = 5.0028235516071745007557971573507 y[1] (numeric) = 5.0028235516071745569496248159356 absolute error = 5.61938276585849e-17 relative error = 1.1232422466815252164873573751959e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.388 y[1] (analytic) = 5.0068283772378615551220725829952 y[1] (numeric) = 5.0068283772378616115681153796757 absolute error = 5.64460427966805e-17 relative error = 1.1273812190826546779423555518733e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.389 y[1] (analytic) = 5.010837209697259749725803031533 y[1] (numeric) = 5.0108372096972598064245093988302 absolute error = 5.66987063672972e-17 relative error = 1.1315216199315078404649927680328e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.39 y[1] (analytic) = 5.0148500529942018780345658588566 y[1] (numeric) = 5.0148500529942019349863848741378 absolute error = 5.69518190152812e-17 relative error = 1.1356634478288566916762799495358e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.391 y[1] (analytic) = 5.0188669111415315713941085990267 y[1] (numeric) = 5.0188669111415316285994899853467 absolute error = 5.72053813863200e-17 relative error = 1.1398067013757243993332020519599e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.392 y[1] (analytic) = 5.0228877881561073118723147136667 y[1] (numeric) = 5.0228877881561073693317088406104 absolute error = 5.74593941269437e-17 relative error = 1.1439513791733925204073491181721e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.393 y[1] (analytic) = 5.026912688058806449118020398064 y[1] (numeric) = 5.02691268805880650683187828259 absolute error = 5.77138578845260e-17 relative error = 1.1480974798234021891510198532758e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.394 y[1] (analytic) = 5.0309416148745292212386993031302 y[1] (numeric) = 5.0309416148745292792074726104151 absolute error = 5.79687733072849e-17 relative error = 1.1522450019275493177663653000803e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.395 y[1] (analytic) = 5.0349745726322027797010360512387 y[1] (numeric) = 5.0349745726322028379251770955231 absolute error = 5.82241410442844e-17 relative error = 1.1563939440878996626079058912845e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.396 y[1] (analytic) = 5.0390115653647852182584134468501 y[1] (numeric) = 5.039011565364785276738375192285 absolute error = 5.84799617454349e-17 relative error = 1.1605443049067780007041960943152e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.397 y[1] (analytic) = 5.0430525971092696059093423097474 y[1] (numeric) = 5.0430525971092696646455783712418 absolute error = 5.87362360614944e-17 relative error = 1.1646960829867732029937978942771e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.398 y[1] (analytic) = 5.0470976719066880238908668896466 y[1] (numeric) = 5.0470976719066880828838315337166 absolute error = 5.89929646440700e-17 relative error = 1.1688492769307492085729026844437e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.399 y[1] (analytic) = 5.0511467938021156067109828559262 y[1] (numeric) = 5.0511467938021156659611310015446 absolute error = 5.92501481456184e-17 relative error = 1.1730038853418361300106236969960e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.4 y[1] (analytic) = 5.0551999668446745872241088952286 y[1] (numeric) = 5.0551999668446746467318961146757 absolute error = 5.95077872194471e-17 relative error = 1.1771599068234352297839733683713e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 8.009e-16 Order of pole = 0.5 x[1] = 1.401 y[1] (analytic) = 5.0592571950875383457536569927423 y[1] (numeric) = 5.0592571950875384055195395124578 absolute error = 5.97658825197155e-17 relative error = 1.1813173399792218775009536767645e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.402 y[1] (analytic) = 5.063318482587935463265750520074 y[1] (numeric) = 5.0633184825879355232901852215101 absolute error = 6.00244347014361e-17 relative error = 1.1854761834131504491276192960058e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.403 y[1] (analytic) = 5.0673838334071537785981433037646 y[1] (numeric) = 5.0673838334071538388815877242399 absolute error = 6.02834444204753e-17 relative error = 1.1896364357294512902225472000027e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.404 y[1] (analytic) = 5.071453251610544449748396903708 y[1] (numeric) = 5.0714532516105445102913092372624 absolute error = 6.05429123335544e-17 relative error = 1.1937980955326316185838277519326e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.405 y[1] (analytic) = 5.0755267412675260192253773899867 y[1] (numeric) = 5.0755267412675260800282164882377 absolute error = 6.08028390982510e-17 relative error = 1.1979611614274842846890825616210e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.406 y[1] (analytic) = 5.0796043064515884834681369699611 y[1] (numeric) = 5.079604306451588544531362342961 absolute error = 6.10632253729999e-17 relative error = 1.2021256320190866278272512732624e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.407 y[1] (analytic) = 5.0836859512402973663362498848331 y[1] (numeric) = 5.0836859512402974276603217019271 absolute error = 6.13240718170940e-17 relative error = 1.2062915059127993188057901568960e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.408 y[1] (analytic) = 5.0877716797152977966756760663581 y[1] (numeric) = 5.0877716797152978582610551570436 absolute error = 6.15853790906855e-17 relative error = 1.2104587817142710858022091605070e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.409 y[1] (analytic) = 5.091861495962318589964230119911 y[1] (numeric) = 5.0918614959623186518113779746978 absolute error = 6.18471478547868e-17 relative error = 1.2146274580294375067751670253383e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.41 y[1] (analytic) = 5.0959554040711763340407372797126 y[1] (numeric) = 5.0959554040711763961501160509846 absolute error = 6.21093787712720e-17 relative error = 1.2187975334645315627707368822769e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.411 y[1] (analytic) = 5.100053408135779478921962065716 y[1] (numeric) = 5.1000534081357795412940345685935 absolute error = 6.23720725028775e-17 relative error = 1.2229690066260764745196569838443e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.412 y[1] (analytic) = 5.1041555122541324307113994594197 y[1] (numeric) = 5.1041555122541324933466291726227 absolute error = 6.26352297132030e-17 relative error = 1.2271418761208863912439610049905e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.413 y[1] (analytic) = 5.1082617205283396496040225077407 y[1] (numeric) = 5.1082617205283397125028735744539 absolute error = 6.28988510667132e-17 relative error = 1.2313161405560807604326943066608e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.550e-16 Order of pole = 0.5 x[1] = 1.414 y[1] (analytic) = 5.1123720370646097519910843600381 y[1] (numeric) = 5.1123720370646098151540215887762 absolute error = 6.31629372287381e-17 relative error = 1.2354917985390712247394627250425e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.415 y[1] (analytic) = 5.1164864659732596166690768434283 y[1] (numeric) = 5.116486465973259680096565708903 absolute error = 6.34274888654747e-17 relative error = 1.2396688486775759254430992864598e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.416 y[1] (analytic) = 5.1206050113687184951569517856954 y[1] (numeric) = 5.1206050113687185588494584296829 absolute error = 6.36925066439875e-17 relative error = 1.2438472895796102831219044910021e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.417 y[1] (analytic) = 5.1247276773695321261257154033581 y[1] (numeric) = 5.1247276773695321900837066355683 absolute error = 6.39579912322102e-17 relative error = 1.2480271198535012195025524383663e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE memory used=30.5MB, alloc=4.1MB, time=1.50 x[1] = 1.418 y[1] (analytic) = 5.1288544680983668539445101848329 y[1] (numeric) = 5.128854468098366918168453483779 absolute error = 6.42239432989461e-17 relative error = 1.2522083381078759447649129006098e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.419 y[1] (analytic) = 5.1329853876820137513473028151164 y[1] (numeric) = 5.132985387682013815837666328986 absolute error = 6.44903635138696e-17 relative error = 1.2563909429516722097457151621412e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.42 y[1] (analytic) = 5.1371204402513927462243008090194 y[1] (numeric) = 5.1371204402513928109815533565468 absolute error = 6.47572525475274e-17 relative error = 1.2605749329941426496461680193913e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.421 y[1] (analytic) = 5.1412596299415567525422246447136 y[1] (numeric) = 5.1412596299415568175668357160525 absolute error = 6.50246110713389e-17 relative error = 1.2647603068448435271081038713754e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.422 y[1] (analytic) = 5.1454029608916958053975663182059 y[1] (numeric) = 5.1454029608916958706900060758041 absolute error = 6.52924397575982e-17 relative error = 1.2689470631136546060816184040244e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.423 y[1] (analytic) = 5.1495504372451412002069693723453 y[1] (numeric) = 5.1495504372451412657677086518196 absolute error = 6.55607392794743e-17 relative error = 1.2731352004107639559654175764272e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.424 y[1] (analytic) = 5.1537020631493696360388695910856 y[1] (numeric) = 5.1537020631493697018683799020985 absolute error = 6.58295103110129e-17 relative error = 1.2773247173466838554160467497057e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.425 y[1] (analytic) = 5.1578578427560073630905396909911 y[1] (numeric) = 5.157857842756007429189293218128 absolute error = 6.60987535271369e-17 relative error = 1.2815156125322413957701594216108e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.426 y[1] (analytic) = 5.1620177802208343343146854873748 y[1] (numeric) = 5.1620177802208344006831550910228 absolute error = 6.63684696036480e-17 relative error = 1.2857078845785904199628588845481e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.427 y[1] (analytic) = 5.1661818797037883611997451620123 y[1] (numeric) = 5.1661818797037884278384043792395 absolute error = 6.66386592172272e-17 relative error = 1.2899015320972020920629050227120e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.428 y[1] (analytic) = 5.1703501453689692737080474130754 y[1] (numeric) = 5.1703501453689693406173704585118 absolute error = 6.69093230454364e-17 relative error = 1.2940965536998767681087620597820e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.429 y[1] (analytic) = 5.1745225813846430843759884257915 y[1] (numeric) = 5.1745225813846431515564501925109 absolute error = 6.71804617667194e-17 relative error = 1.2982929479987441948817284102252e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.43 y[1] (analytic) = 5.1786991919232461565803917643529 y[1] (numeric) = 5.1786991919232462240324678247555 absolute error = 6.74520760604026e-17 relative error = 1.3024907136062578952524780111988e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.431 y[1] (analytic) = 5.1828799811613893769752194517818 y[1] (numeric) = 5.1828799811613894446993860584783 absolute error = 6.77241666066965e-17 relative error = 1.3066898491352049966268022226154e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.432 y[1] (analytic) = 5.1870649532798623321028066748111 y[1] (numeric) = 5.187064953279862400099540761508 absolute error = 6.79967340866969e-17 relative error = 1.3108903531987102087523709139356e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.433 y[1] (analytic) = 5.1912541124636374891837967253638 y[1] (numeric) = 5.1912541124636375574535759077491 absolute error = 6.82697791823853e-17 relative error = 1.3150922244102243521669681330053e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.434 y[1] (analytic) = 5.1954474629018743810899569689131 y[1] (numeric) = 5.1954474629018744496332595455439 absolute error = 6.85433025766308e-17 relative error = 1.3192954613835417940157257277116e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.435 y[1] (analytic) = 5.1996450087879237955040608128896 y[1] (numeric) = 5.1996450087879238643213657660801 absolute error = 6.88173049531905e-17 relative error = 1.3235000627327889318135001335520e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.436 y[1] (analytic) = 5.2038467543193319682710248353648 y[1] (numeric) = 5.203846754319332037362811832076 absolute error = 6.90917869967112e-17 relative error = 1.3277060270724376948264099256282e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.437 y[1] (analytic) = 5.2080527036978447809444944254994 y[1] (numeric) = 5.2080527036978448503112438182294 absolute error = 6.93667493927300e-17 relative error = 1.3319133530172978393392031532095e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.438 y[1] (analytic) = 5.2122628611294119625330754826903 y[1] (numeric) = 5.2122628611294120321752683103661 absolute error = 6.96421928276758e-17 relative error = 1.3361220391825265285149429198861e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 8.009e-16 Order of pole = 0.5 x[1] = 1.439 y[1] (analytic) = 5.2164772308241912954504139209989 y[1] (numeric) = 5.2164772308241913653685319098692 absolute error = 6.99181179888703e-17 relative error = 1.3403320841836282611748201144062e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.44 y[1] (analytic) = 5.2206958169965528256733289292909 y[1] (numeric) = 5.2206958169965528958678544938195 absolute error = 7.01945255645286e-17 relative error = 1.3445434866364471193607229402687e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.441 y[1] (analytic) = 5.2249186238650830771122101455705 y[1] (numeric) = 5.2249186238650831475836263893315 absolute error = 7.04714162437610e-17 relative error = 1.3487562451571820006056991007913e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.442 y[1] (analytic) = 5.2291456556525892701978931162592 y[1] (numeric) = 5.229145655652589340946683832833 absolute error = 7.07487907165738e-17 relative error = 1.3529703583623826330836659017471e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.443 y[1] (analytic) = 5.2333769165861035446892316276445 y[1] (numeric) = 5.233376916586103615715881301515 absolute error = 7.10266496738705e-17 relative error = 1.3571858248689532334923318905833e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.444 y[1] (analytic) = 5.2376124108968871867055897174241 y[1] (numeric) = 5.2376124108968872580105835248766 absolute error = 7.13049938074525e-17 relative error = 1.3614026432941465810530182771324e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.445 y[1] (analytic) = 5.2418521428204348599884803991883 y[1] (numeric) = 5.2418521428204349315723042092092 absolute error = 7.15838238100209e-17 relative error = 1.3656208122555790853704967200299e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.446 y[1] (analytic) = 5.2460961165964788413965823618339 y[1] (numeric) = 5.2460961165964789132597227370109 absolute error = 7.18631403751770e-17 relative error = 1.3698403303712209810457583495630e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.447 y[1] (analytic) = 5.2503443364689932606383701392776 y[1] (numeric) = 5.2503443364689933327813143367013 absolute error = 7.21429441974237e-17 relative error = 1.3740611962594036916609659141716e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.448 y[1] (analytic) = 5.2545968066861983442465974834531 y[1] (numeric) = 5.2545968066861984166698334556196 absolute error = 7.24232359721665e-17 relative error = 1.3782834085388195257769707862275e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.449 y[1] (analytic) = 5.2588535315005646637988779154288 y[1] (numeric) = 5.2588535315005647365028943111436 absolute error = 7.27040163957148e-17 relative error = 1.3825069658285270591329645750371e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.45 y[1] (analytic) = 5.2631145151688173883886106755809 y[1] (numeric) = 5.2631145151688174613738968408637 absolute error = 7.29852861652828e-17 relative error = 1.3867318667479488707002508399163e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.451 y[1] (analytic) = 5.2673797619519405413505045441019 y[1] (numeric) = 5.2673797619519406146175505230925 absolute error = 7.32670459789906e-17 relative error = 1.3909581099168730666825860649565e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.452 y[1] (analytic) = 5.271649276115181261244956257723 y[1] (numeric) = 5.2716492761151813347942527935885 absolute error = 7.35492965358655e-17 relative error = 1.3951856939554585710074257864074e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.550e-16 Order of pole = 0.5 x[1] = 1.453 y[1] (analytic) = 5.2759230619280540671055445073843 y[1] (numeric) = 5.2759230619280541409375830432274 absolute error = 7.38320385358431e-17 relative error = 1.3994146174842365792939686706639e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.550e-16 Order of pole = 0.5 x[1] = 1.454 y[1] (analytic) = 5.280201123664345127953904764702 y[1] (numeric) = 5.2802011236643452020691774444702 absolute error = 7.41152726797682e-17 relative error = 1.4036448791241081979476051772975e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.455 y[1] (analytic) = 5.2844834656021165365862544524633 y[1] (numeric) = 5.2844834656021166109852541218592 absolute error = 7.43989996693959e-17 relative error = 1.4078764774963458593069217646016e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.456 y[1] (analytic) = 5.2887700920237105876358422460295 y[1] (numeric) = 5.2887700920237106623190624534229 absolute error = 7.46832202073934e-17 relative error = 1.4121094112226079454341704741042e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.457 y[1] (analytic) = 5.2930610072157540599155995684554 y[1] (numeric) = 5.2930610072157541348835345657954 absolute error = 7.49679349973400e-17 relative error = 1.4163436789249193139020534702426e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.458 y[1] (analytic) = 5.2973562154691625030452766223299 y[1] (numeric) = 5.2973562154691625782984213660591 absolute error = 7.52531447437292e-17 relative error = 1.4205792792256915404704796925671e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.459 y[1] (analytic) = 5.3016557210791445283673495858346 y[1] (numeric) = 5.301655721079144603906199737804 absolute error = 7.55388501519694e-17 relative error = 1.4248162107477166363874154315021e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 memory used=34.3MB, alloc=4.2MB, time=1.69 x[1] = 1.46 y[1] (analytic) = 5.3059595283452061041559898892827 y[1] (numeric) = 5.3059595283452061799810418176676 absolute error = 7.58250519283849e-17 relative error = 1.4290544721141664300034920874366e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.461 y[1] (analytic) = 5.3102676415711548551233907814661 y[1] (numeric) = 5.3102676415711549312351415616835 absolute error = 7.61117507802174e-17 relative error = 1.4332940619486013469087461962596e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.462 y[1] (analytic) = 5.3145800650651043662277506924963 y[1] (numeric) = 5.3145800650651044426266981081231 absolute error = 7.63989474156268e-17 relative error = 1.4375349788749659558040965107277e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.463 y[1] (analytic) = 5.3188968031394784907872172014803 y[1] (numeric) = 5.3188968031394785674738597451727 absolute error = 7.66866425436924e-17 relative error = 1.4417772215175920361039083925402e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.464 y[1] (analytic) = 5.3232178601110156629040997233343 y[1] (numeric) = 5.3232178601110157398789365977485 absolute error = 7.69748368744142e-17 relative error = 1.4460207885012034888971141812452e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.465 y[1] (analytic) = 5.327543240300773214203663339308 y[1] (numeric) = 5.3275432403007732914671944580219 absolute error = 7.72635311187139e-17 relative error = 1.4502656784509155725675652387646e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.466 y[1] (analytic) = 5.3318729480341316948918205103728 y[1] (numeric) = 5.3318729480341317724445464988089 absolute error = 7.75527259884361e-17 relative error = 1.4545118899922378727982885421287e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.467 y[1] (analytic) = 5.3362069876407991991360417315254 y[1] (numeric) = 5.3362069876407992769784639278748 absolute error = 7.78424221963494e-17 relative error = 1.4587594217510753637506444747485e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.550e-16 Order of pole = 0.5 x[1] = 1.468 y[1] (analytic) = 5.3405453634548156947738105082782 y[1] (numeric) = 5.3405453634548157729064309644255 absolute error = 7.81326204561473e-17 relative error = 1.4630082723537256987343388020201e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.469 y[1] (analytic) = 5.3448880798145573573529523641522 y[1] (numeric) = 5.3448880798145574357762738466019 absolute error = 7.84233214824497e-17 relative error = 1.4672584404268877193475205137633e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.47 y[1] (analytic) = 5.3492351410627409085081719198621 y[1] (numeric) = 5.3492351410627409872226979106662 absolute error = 7.87145259908041e-17 relative error = 1.4715099245976642944610370389413e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.471 y[1] (analytic) = 5.3535865515464279586781364210939 y[1] (numeric) = 5.3535865515464280376843711187801 absolute error = 7.90062346976862e-17 relative error = 1.4757627234935539174228118788186e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.472 y[1] (analytic) = 5.3579423156170293541674484323179 y[1] (numeric) = 5.3579423156170294334658967528194 absolute error = 7.92984483205015e-17 relative error = 1.4800168357424609875974147525893e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.473 y[1] (analytic) = 5.3623024376303095285578547589738 y[1] (numeric) = 5.3623024376303096081490223365603 absolute error = 7.95911675775865e-17 relative error = 1.4842722599726985618295715558813e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.474 y[1] (analytic) = 5.3666669219463908584730430095994 y[1] (numeric) = 5.3666669219463909383574361978089 absolute error = 7.98843931882095e-17 relative error = 1.4885289948129836185033709954295e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.550e-16 Order of pole = 0.5 x[1] = 1.475 y[1] (analytic) = 5.3710357729297580237013815630615 y[1] (numeric) = 5.3710357729297581038795074356334 absolute error = 8.01781258725719e-17 relative error = 1.4927870388924416333066876566536e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.476 y[1] (analytic) = 5.3754089949492623716809630639933 y[1] (numeric) = 5.3754089949492624521533294158027 absolute error = 8.04723663518094e-17 relative error = 1.4970463908406092517904912523041e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.477 y[1] (analytic) = 5.3797865923781262863513159318443 y[1] (numeric) = 5.3797865923781263671184312798375 absolute error = 8.07671153479932e-17 relative error = 1.5013070492874369282750704031732e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.478 y[1] (analytic) = 5.3841685695939475613761527356201 y[1] (numeric) = 5.384168569593947642438526319751 absolute error = 8.10623735841309e-17 relative error = 1.5055690128632859593379402187793e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.479 y[1] (analytic) = 5.3885549309787037777415286574228 y[1] (numeric) = 5.3885549309787038590996704415909 absolute error = 8.13581417841681e-17 relative error = 1.5098322801989385016092232121711e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.48 y[1] (analytic) = 5.3929456809187566857337876433172 y[1] (numeric) = 5.392945680918756767388208316306 absolute error = 8.16544206729888e-17 relative error = 1.5140968499255852686953823021981e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.481 y[1] (analytic) = 5.3973408238048565913016782198325 y[1] (numeric) = 5.3973408238048566732528891962499 absolute error = 8.19512109764174e-17 relative error = 1.5183627206748429116717470913765e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.482 y[1] (analytic) = 5.4017403640321467468070253385816 y[1] (numeric) = 5.4017403640321468290555387598011 absolute error = 8.22485134212195e-17 relative error = 1.5226298910787490789534516924033e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.483 y[1] (analytic) = 5.4061443060001677461683490000368 y[1] (numeric) = 5.4061443060001678287146777351395 absolute error = 8.25463287351027e-17 relative error = 1.5268983597697574794724116730296e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.484 y[1] (analytic) = 5.4105526541128619244018248004439 y[1] (numeric) = 5.4105526541128620072464824471623 absolute error = 8.28446576467184e-17 relative error = 1.5311681253807514316053810340455e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.485 y[1] (analytic) = 5.4149654127785777615639859432053 y[1] (numeric) = 5.4149654127785778447074868288677 absolute error = 8.31435008856624e-17 relative error = 1.5354391865450351643210346471256e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.486 y[1] (analytic) = 5.4193825864100742911005706577984 y[1] (numeric) = 5.4193825864100743745434298402749 absolute error = 8.34428591824765e-17 relative error = 1.5397115418963435922583322673953e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.487 y[1] (analytic) = 5.4238041794245255126059233754456 y[1] (numeric) = 5.4238041794245255963486566440951 absolute error = 8.37427332686495e-17 relative error = 1.5439851900688409598517091408192e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.488 y[1] (analytic) = 5.4282301962435248089973624213046 y[1] (numeric) = 5.4282301962435248930404862979227 absolute error = 8.40431238766181e-17 relative error = 1.5482601296971176289512829384607e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.489 y[1] (analytic) = 5.4326606412930893681089313979137 y[1] (numeric) = 5.4326606412930894524529631376823 absolute error = 8.43440317397686e-17 relative error = 1.5525363594162015870066132245938e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.49 y[1] (analytic) = 5.4370955190036646087089558540139 y[1] (numeric) = 5.4370955190036646933544134464514 absolute error = 8.46454575924375e-17 relative error = 1.5568138778615496466699034334093e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.491 y[1] (analytic) = 5.4415348338101286109458312566713 y[1] (numeric) = 5.4415348338101286958932334265844 absolute error = 8.49474021699131e-17 relative error = 1.5610926836690570446306075978486e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.492 y[1] (analytic) = 5.4459785901517965512264727128585 y[1] (numeric) = 5.4459785901517966364763389212949 absolute error = 8.52498662084364e-17 relative error = 1.5653727754750541190245617875441e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.493 y[1] (analytic) = 5.450426792472425141531861319313 y[1] (numeric) = 5.4504267924724252270847117645156 absolute error = 8.55528504452026e-17 relative error = 1.5696541519163139903934447001347e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.494 y[1] (analytic) = 5.4548794452202170731741264565905 y[1] (numeric) = 5.4548794452202171590304820749522 absolute error = 8.58563556183617e-17 relative error = 1.5739368116300436850409285957944e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.495 y[1] (analytic) = 5.4593365528478254649996077847639 y[1] (numeric) = 5.4593365528478255511599902517841 absolute error = 8.61603824670202e-17 relative error = 1.5782207532538954297464394253083e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.496 y[1] (analytic) = 5.4637981198123583160423451442017 y[1] (numeric) = 5.463798119812358402507276875444 absolute error = 8.64649317312423e-17 relative error = 1.5825059754259687190093289801192e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.497 y[1] (analytic) = 5.4682641505753829626324490152875 y[1] (numeric) = 5.4682641505753830494024531673379 absolute error = 8.67700041520504e-17 relative error = 1.5867924767847995498945822613557e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.498 y[1] (analytic) = 5.4727346496029305399638086458202 y[1] (numeric) = 5.4727346496029306270394091172474 absolute error = 8.70756004714272e-17 relative error = 1.5910802559693789243211355798308e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.499 y[1] (analytic) = 5.4772096213655004481255994141773 y[1] (numeric) = 5.4772096213655005355073208464934 absolute error = 8.73817214323161e-17 relative error = 1.5953693116191402019151195089689e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.5 y[1] (analytic) = 5.4816890703380648226020554601193 y[1] (numeric) = 5.4816890703380649102904232387422 absolute error = 8.76883677786229e-17 relative error = 1.5996596423739702089263476379302e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.501 y[1] (analytic) = 5.4861730010000730092449780833807 y[1] (numeric) = 5.4861730010000730972405183385975 absolute error = 8.79955402552168e-17 relative error = 1.6039512468742075122050063945274e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.502 y[1] (analytic) = 5.4906614178354560437234548829297 y[1] (numeric) = 5.4906614178354561320266944908611 absolute error = 8.83032396079314e-17 relative error = 1.6082441237606406803906263873962e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=38.1MB, alloc=4.2MB, time=1.88 Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.503 y[1] (analytic) = 5.4951543253326311354552690869872 y[1] (numeric) = 5.4951543253326312240667356705535 absolute error = 8.86114665835663e-17 relative error = 1.6125382716745174511050384527616e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.504 y[1] (analytic) = 5.4996517279845061560244830055907 y[1] (numeric) = 5.4996517279845062449447049354785 absolute error = 8.89202219298878e-17 relative error = 1.6168336892575374672735487466287e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.505 y[1] (analytic) = 5.5041536302884841320896840236577 y[1] (numeric) = 5.5041536302884842213191904192883 absolute error = 8.92295063956306e-17 relative error = 1.6211303751518631958534360318798e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.506 y[1] (analytic) = 5.5086600367464677427873860431718 y[1] (numeric) = 5.5086600367464678323267067736701 absolute error = 8.95393207304983e-17 relative error = 1.6254283280001089878357277679811e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.507 y[1] (analytic) = 5.5131709518648638216350837782652 y[1] (numeric) = 5.5131709518648639114847494634305 absolute error = 8.98496656851653e-17 relative error = 1.6297275464453555642986085397767e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.508 y[1] (analytic) = 5.5176863801545878629384618066287 y[1] (numeric) = 5.5176863801545879530990038179066 absolute error = 9.01605420112779e-17 relative error = 1.6340280291311499112414339361780e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.509 y[1] (analytic) = 5.5222063261310685327072647848338 y[1] (numeric) = 5.5222063261310686231792152462887 absolute error = 9.04719504614549e-17 relative error = 1.6383297747014960991407279794730e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.51 y[1] (analytic) = 5.5267307943142521840843397438116 y[1] (numeric) = 5.526730794314252274868231533101 absolute error = 9.07838917892894e-17 relative error = 1.6426327818008678388091110993537e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.511 y[1] (analytic) = 5.5312597892286073772923658939088 y[1] (numeric) = 5.5312597892286074683887326432585 absolute error = 9.10963667493497e-17 relative error = 1.6469370490742046830745084655573e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.512 y[1] (analytic) = 5.535793315403129404102791886626 y[1] (numeric) = 5.5357933154031294955121679838065 absolute error = 9.14093760971805e-17 relative error = 1.6512425751669136449043532547840e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.513 y[1] (analytic) = 5.5403313773713448168315050023532 y[1] (numeric) = 5.5403313773713449085544255916576 absolute error = 9.17229205893044e-17 relative error = 1.6555493587248762009617236797836e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 8.009e-16 Order of pole = 0.5 x[1] = 1.514 y[1] (analytic) = 5.5448739796713159618657612601491 y[1] (numeric) = 5.5448739796713160539027622433719 absolute error = 9.20370009832228e-17 relative error = 1.6598573983944444184520994061827e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.515 y[1] (analytic) = 5.5494211268456455177269099768721 y[1] (numeric) = 5.5494211268456456100785280142892 absolute error = 9.23516180374171e-17 relative error = 1.6641666928224424854118173591698e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.550e-16 Order of pole = 0.5 x[1] = 1.516 y[1] (analytic) = 5.5539728234414810376734508387651 y[1] (numeric) = 5.5539728234414811303402233501152 absolute error = 9.26667725113501e-17 relative error = 1.6684772406561718129711808477063e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.517 y[1] (analytic) = 5.5585290740105194968489660889309 y[1] (numeric) = 5.5585290740105195898314312543978 absolute error = 9.29824651654669e-17 relative error = 1.6727890405434070957886328439618e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.518 y[1] (analytic) = 5.5630898831090118439794749790081 y[1] (numeric) = 5.5630898831090119372781717402046 absolute error = 9.32986967611965e-17 relative error = 1.6771020911324049531816315331544e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.519 y[1] (analytic) = 5.5676552552977675576247621827822 y[1] (numeric) = 5.567655255297767651240230243735 absolute error = 9.36154680609528e-17 relative error = 1.6814163910719017296411751046840e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.52 y[1] (analytic) = 5.5722251951421592069882364234397 y[1] (numeric) = 5.5722251951421593009210162515752 absolute error = 9.39327798281355e-17 relative error = 1.6857319390111094898696818636840e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.521 y[1] (analytic) = 5.5767997072121270172898801247029 y[1] (numeric) = 5.576799707212127111540512951835 absolute error = 9.42506328271321e-17 relative error = 1.6900487335997317364417494754216e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.522 y[1] (analytic) = 5.5813787960821834397068554591782 y[1] (numeric) = 5.5813787960821835342758832824963 absolute error = 9.45690278233181e-17 relative error = 1.6943667734879467783805573666736e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.523 y[1] (analytic) = 5.5859624663314177258863367349008 y[1] (numeric) = 5.58596246633141782077430231796 absolute error = 9.48879655830592e-17 relative error = 1.6986860573264269638373986416962e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.524 y[1] (analytic) = 5.5905507225435005070351436332935 y[1] (numeric) = 5.5905507225435006022425905070053 absolute error = 9.52074468737118e-17 relative error = 1.7030065837663273879941041801751e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.525 y[1] (analytic) = 5.5951435693066883775907543885512 y[1] (numeric) = 5.5951435693066884731182268521759 absolute error = 9.55274724636247e-17 relative error = 1.7073283514592960818940249764946e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.526 y[1] (analytic) = 5.5997410112138284834782825798487 y[1] (numeric) = 5.5997410112138285793263257019884 absolute error = 9.58480431221397e-17 relative error = 1.7116513590574644855926536048522e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.527 y[1] (analytic) = 5.6043430528623631149580057937283 y[1] (numeric) = 5.604343052862363211127165413322 absolute error = 9.61691596195937e-17 relative error = 1.7159756052134647113490381254236e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.528 y[1] (analytic) = 5.6089496988543343040680390045818 y[1] (numeric) = 5.6089496988543344005588617319009 absolute error = 9.64908227273191e-17 relative error = 1.7203010885804163913006730695519e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.529 y[1] (analytic) = 5.6135609537963884266667501162807 y[1] (numeric) = 5.613560953796388523479783333926 absolute error = 9.68130332176453e-17 relative error = 1.7246278078119331634076456874231e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.53 y[1] (analytic) = 5.6181768222997808090795197077546 y[1] (numeric) = 5.6181768222997809062153115716549 absolute error = 9.71357918639003e-17 relative error = 1.7289557615621308835580481918629e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.531 y[1] (analytic) = 5.6227973089803803393544516296622 y[1] (numeric) = 5.6227973089803804368135510700735 absolute error = 9.74590994404113e-17 relative error = 1.7332849484856179905544101151754e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.532 y[1] (analytic) = 5.6274224184586740831316457082485 y[1] (numeric) = 5.6274224184586741809146024307548 absolute error = 9.77829567225063e-17 relative error = 1.7376153672375036667447984987508e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.533 y[1] (analytic) = 5.6320521553597719041306484260459 y[1] (numeric) = 5.6320521553597720022380129125613 absolute error = 9.81073644865154e-17 relative error = 1.7419470164734006098685822026581e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.534 y[1] (analytic) = 5.6366865243134110892607020672563 y[1] (numeric) = 5.6366865243134111876930255770279 absolute error = 9.84323235097716e-17 relative error = 1.7462798948494188987830218662200e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.535 y[1] (analytic) = 5.6413255299539609783584174384459 y[1] (numeric) = 5.6413255299539610771162520090585 absolute error = 9.87578345706126e-17 relative error = 1.7506140010221775937612161641686e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.536 y[1] (analytic) = 5.6459691769204275985574999026145 y[1] (numeric) = 5.6459691769204276976413983509962 absolute error = 9.90838984483817e-17 relative error = 1.7549493336488003170139074925100e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.537 y[1] (analytic) = 5.6506174698564583032951630967493 y[1] (numeric) = 5.6506174698564584027056790201781 absolute error = 9.94105159234288e-17 relative error = 1.7592858913869126026396118523317e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.538 y[1] (analytic) = 5.6552704134103464159598693396639 y[1] (numeric) = 5.6552704134103465156975571167761 absolute error = 9.97376877771122e-17 relative error = 1.7636236728946533836994255894328e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.539 y[1] (analytic) = 5.6599280122350358781850403782506 y[1] (numeric) = 5.6599280122350359782504551700501 absolute error = 1.000654147917995e-16 relative error = 1.7679626768306704992863306084427e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.54 y[1] (analytic) = 5.6645902709881259027933867662438 y[1] (numeric) = 5.6645902709881260031870845171126 absolute error = 1.003936977508688e-16 relative error = 1.7723029018541214976669543046392e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.541 y[1] (analytic) = 5.6692571943318756313965088202109 y[1] (numeric) = 5.6692571943318757321190462589209 absolute error = 1.007225374387100e-16 relative error = 1.7766443466246761772326989826978e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.542 y[1] (analytic) = 5.6739287869332087966544267527608 y[1] (numeric) = 5.673928786933208897706361393487 absolute error = 1.010519346407262e-16 relative error = 1.7809870098025208552071213410913e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.543 y[1] (analytic) = 5.6786050534637183891997022428884 y[1] (numeric) = 5.678605053463718490581592386223 absolute error = 1.013818901433346e-16 relative error = 1.7853308900483537881073883280391e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.544 y[1] (analytic) = 5.6832859985996713292308183679645 y[1] (numeric) = 5.6832859985996714309432231019328 absolute error = 1.017124047339683e-16 relative error = 1.7896759860233964285126011968016e-15 % h = 0.001 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=4.2MB, time=2.07 x[1] = 1.545 y[1] (analytic) = 5.6879716270220131427794894911426 y[1] (numeric) = 5.6879716270220132448229686922195 absolute error = 1.020434792010769e-16 relative error = 1.7940222963893835068597456079856e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.546 y[1] (analytic) = 5.6926619434163726426565773718797 y[1] (numeric) = 5.6926619434163727450316917060077 absolute error = 1.023751143341280e-16 relative error = 1.7983698198085689497709337774015e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.547 y[1] (analytic) = 5.6973569524730666140812944458789 y[1] (numeric) = 5.6973569524730667167886053694876 absolute error = 1.027073109236087e-16 relative error = 1.8027185549437317469083241066982e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.548 y[1] (analytic) = 5.7020566588871045049983799040469 y[1] (numeric) = 5.7020566588871046080384496650734 absolute error = 1.030400697610265e-16 relative error = 1.8070685004581712440085139100951e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.549 y[1] (analytic) = 5.7067610673581931210879388880337 y[1] (numeric) = 5.7067610673581932244613305269445 absolute error = 1.033733916389108e-16 relative error = 1.8114196550157129506767703340983e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.55 y[1] (analytic) = 5.7114701825907413254726398125845 y[1] (numeric) = 5.7114701825907414291799171633984 absolute error = 1.037072773508139e-16 relative error = 1.8157720172807055428229611940490e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.551 y[1] (analytic) = 5.7161840092938647431269695222932 y[1] (numeric) = 5.7161840092938648471686972136056 absolute error = 1.040417276913124e-16 relative error = 1.8201255859180248552133995395839e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.552 y[1] (analytic) = 5.7209025521813904699932506924041 y[1] (numeric) = 5.7209025521813905743699941484128 absolute error = 1.043767434560087e-16 relative error = 1.8244803595930795798809397838188e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.553 y[1] (analytic) = 5.725625815971861786809130590073 y[1] (numeric) = 5.7256258159718618915214560316046 absolute error = 1.047123254415316e-16 relative error = 1.8288363369718011951099043370515e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.554 y[1] (analytic) = 5.7303538053885428776512550239667 y[1] (numeric) = 5.7303538053885429826997294695051 absolute error = 1.050484744455384e-16 relative error = 1.8331935167206600981807493529531e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.555 y[1] (analytic) = 5.7350865251594235531998460262716 y[1] (numeric) = 5.735086525159423658585037292987 absolute error = 1.053851912667154e-16 relative error = 1.8375518975066537374186120017179e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.556 y[1] (analytic) = 5.7398239800172239787289065320789 y[1] (numeric) = 5.7398239800172240844513832368585 absolute error = 1.057224767047796e-16 relative error = 1.8419114779973156870016849267083e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.557 y[1] (analytic) = 5.7445661746993994068267800467483 y[1] (numeric) = 5.7445661746993995128871116072282 absolute error = 1.060603315604799e-16 relative error = 1.8462722568607159505080626435904e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 8.009e-16 Order of pole = 0.5 x[1] = 1.558 y[1] (analytic) = 5.7493131139481449148517980222023 y[1] (numeric) = 5.7493131139481450212505546578005 absolute error = 1.063987566355982e-16 relative error = 1.8506342327654595010666226068006e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.559 y[1] (analytic) = 5.7540648025104001471277523981938 y[1] (numeric) = 5.7540648025104002538655051311447 absolute error = 1.067377527329509e-16 relative error = 1.8549974043806917577850552882619e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.56 y[1] (analytic) = 5.758821245137854061883935504415 y[1] (numeric) = 5.7588212451378541689612561608049 absolute error = 1.070773206563899e-16 relative error = 1.8593617703760953301550081152115e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.561 y[1] (analytic) = 5.7635824465869496829444942638827 y[1] (numeric) = 5.7635824465869497903619554746869 absolute error = 1.074174612108042e-16 relative error = 1.8637273294218971661606779143148e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.562 y[1] (analytic) = 5.7683484116188888561718503873506 y[1] (numeric) = 5.7683484116188889639300255894714 absolute error = 1.077581752021208e-16 relative error = 1.8680940801888635071718294147989e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.563 y[1] (analytic) = 5.7731191449996370106689430025646 y[1] (numeric) = 5.7731191449996371187684064398709 absolute error = 1.080994634373063e-16 relative error = 1.8724620213483069703278328677553e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.564 y[1] (analytic) = 5.7778946514999279247450549210009 y[1] (numeric) = 5.7778946514999280331863816453688 absolute error = 1.084413267243679e-16 relative error = 1.8768311515720831887659311408443e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.565 y[1] (analytic) = 5.7826749358952684966499885083104 y[1] (numeric) = 5.7826749358952686054337543806653 absolute error = 1.087837658723549e-16 relative error = 1.8812014695325960923092772006992e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.566 y[1] (analytic) = 5.7874600029659435200813618930423 y[1] (numeric) = 5.7874600029659436292081435844021 absolute error = 1.091267816913598e-16 relative error = 1.8855729739027962277773770586263e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.567 y[1] (analytic) = 5.7922498574970204644698010213417 y[1] (numeric) = 5.7922498574970205739401760138616 absolute error = 1.094703749925199e-16 relative error = 1.8899456633561876970971318702546e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.568 y[1] (analytic) = 5.7970445042783542600468078432117 y[1] (numeric) = 5.7970445042783543698613544312296 absolute error = 1.098145465880179e-16 relative error = 1.8943195365668177880710524699098e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.569 y[1] (analytic) = 5.8018439481045920877000896986054 y[1] (numeric) = 5.8018439481045921978593869896895 absolute error = 1.101592972910841e-16 relative error = 1.8986945922092942112161682451457e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.57 y[1] (analytic) = 5.8066481937751781736211397590791 y[1] (numeric) = 5.8066481937751782841257676750759 absolute error = 1.105046279159968e-16 relative error = 1.9030708289587712293724751355674e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.571 y[1] (analytic) = 5.8114572460943585887498631729837 y[1] (numeric) = 5.8114572460943586996004024510679 absolute error = 1.108505392780842e-16 relative error = 1.9074482454909616443286951609474e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.572 y[1] (analytic) = 5.8162711098711860530210483592228 y[1] (numeric) = 5.8162711098711861642180805529482 absolute error = 1.111970321937254e-16 relative error = 1.9118268404821332273252307432212e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.573 y[1] (analytic) = 5.8210897899195247444174876964477 y[1] (numeric) = 5.8210897899195248559615951767995 absolute error = 1.115441074803518e-16 relative error = 1.9162066126091120159303741701601e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.574 y[1] (analytic) = 5.8259132910580551128345566612112 y[1] (numeric) = 5.8259132910580552247263226176596 absolute error = 1.118917659564484e-16 relative error = 1.9205875605492838551866571888139e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.575 y[1] (analytic) = 5.8307416181102786987610652800608 y[1] (numeric) = 5.8307416181102788110010737216158 absolute error = 1.122400084415550e-16 relative error = 1.9249696829805941931221414864331e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.576 y[1] (analytic) = 5.835574775904522956781200576824 y[1] (numeric) = 5.8355747759045230693700363330912 absolute error = 1.125888357562672e-16 relative error = 1.9293529785815444270678212820978e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.577 y[1] (analytic) = 5.8404127692739460839023835174292 y[1] (numeric) = 5.8404127692739461968406322396678 absolute error = 1.129382487222386e-16 relative error = 1.9337374460312087916682577983442e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.578 y[1] (analytic) = 5.8452556030565418527138687805241 y[1] (numeric) = 5.8452556030565419660021169427052 absolute error = 1.132882481621811e-16 relative error = 1.9381230840092186350268319704847e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.579 y[1] (analytic) = 5.8501032820951444493809205128911 y[1] (numeric) = 5.8501032820951445630197554127578 absolute error = 1.136388348998667e-16 relative error = 1.9425098911957723904651545980568e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.58 y[1] (analytic) = 5.8549558112374333164794020642401 y[1] (numeric) = 5.854955811237433430469411824369 absolute error = 1.139900097601289e-16 relative error = 1.9468978662716386439290333055706e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.581 y[1] (analytic) = 5.859813195335938000675622536373 y[1] (numeric) = 5.8598131953359381150173961052364 absolute error = 1.143417735688634e-16 relative error = 1.9512870079181472172878132137517e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.582 y[1] (analytic) = 5.8646754392480430052562878269677 y[1] (numeric) = 5.8646754392480431199504149799979 absolute error = 1.146941271530302e-16 relative error = 1.9556773148172041446062354498538e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.583 y[1] (analytic) = 5.8695425478359926475134086983399 y[1] (numeric) = 5.8695425478359927625604800389942 absolute error = 1.150470713406543e-16 relative error = 1.9600687856512826989436920072243e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.584 y[1] (analytic) = 5.8744145259668959209890232564936 y[1] (numeric) = 5.8744145259668960363896302173209 absolute error = 1.154006069608273e-16 relative error = 1.9644614191034297612711601546101e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.585 y[1] (analytic) = 5.879291378512731362584596085589 y[1] (numeric) = 5.8792913785127314783393309292976 absolute error = 1.157547348437086e-16 relative error = 1.9688552138572653310443185900057e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.586 y[1] (analytic) = 5.8841731103503519245399611476319 y[1] (numeric) = 5.8841731103503520406494169681587 absolute error = 1.161094558205268e-16 relative error = 1.9732501685969854149707780017479e-15 % h = 0.001 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=4.2MB, time=2.27 x[1] = 1.587 y[1] (analytic) = 5.8890597263614898512866804267341 y[1] (numeric) = 5.8890597263614899677514511503147 absolute error = 1.164647707235806e-16 relative error = 1.9776462820073563878845103562777e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.588 y[1] (analytic) = 5.8939512314327615611806951717089 y[1] (numeric) = 5.8939512314327616780013755579498 absolute error = 1.168206803862409e-16 relative error = 1.9820435527737297183234038108727e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.589 y[1] (analytic) = 5.8988476304556725331191514700612 y[1] (numeric) = 5.8988476304556726502963371130127 absolute error = 1.171771856429515e-16 relative error = 1.9864419795820328641493717174460e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.59 y[1] (analytic) = 5.9037489283266221980462867706038 y[1] (numeric) = 5.903748928326622315580574099834 absolute error = 1.175342873292302e-16 relative error = 1.9908415611187669655157610672744e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.591 y[1] (analytic) = 5.9086551299469088353532688609937 y[1] (numeric) = 5.9086551299469089532452551426649 absolute error = 1.178919862816712e-16 relative error = 1.9952422960710265276983306940376e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.592 y[1] (analytic) = 5.9135662402227344741768837004377 y[1] (numeric) = 5.9135662402227345924271670383827 absolute error = 1.182502833379450e-16 relative error = 1.9996441831264767069440081341738e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.593 y[1] (analytic) = 5.9184822640652097996019734066604 y[1] (numeric) = 5.9184822640652099182111527434612 absolute error = 1.186091793368008e-16 relative error = 2.0040472209733729265978982469731e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.594 y[1] (analytic) = 5.9234032063903590637725305999839 y[1] (numeric) = 5.9234032063903591827412057180513 absolute error = 1.189686751180674e-16 relative error = 2.0084514083005550489657439566867e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.595 y[1] (analytic) = 5.928329072119125001916360216022 y[1] (numeric) = 5.9283290721191251212451317386764 absolute error = 1.193287715226544e-16 relative error = 2.0128567437974466132229865170742e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.596 y[1] (analytic) = 5.9332598661773737532882248120596 y[1] (numeric) = 5.9332598661773738729776942046135 absolute error = 1.196894693925539e-16 relative error = 2.0172632261540624808033211581821e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.597 y[1] (analytic) = 5.9381955934958997870363943106745 y[1] (numeric) = 5.9381955934958999070871638815158 absolute error = 1.200507695708413e-16 relative error = 2.0216708540610012631514652217775e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.598 y[1] (analytic) = 5.9431362590104308329975260475596 y[1] (numeric) = 5.9431362590104309534101989492367 absolute error = 1.204126729016771e-16 relative error = 2.0260796262094545898883317493844e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.477e-16 Order of pole = 0.5 x[1] = 1.599 y[1] (analytic) = 5.948081867661632817424805918838 y[1] (numeric) = 5.9480818676616329381999861491464 absolute error = 1.207751802303084e-16 relative error = 2.0304895412912112636939087541616e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.6 y[1] (analytic) = 5.953032424395114803654286356424 y[1] (numeric) = 5.9530324243951149247925787594931 absolute error = 1.211382924030691e-16 relative error = 2.0349005979986395333239625654982e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.601 y[1] (analytic) = 5.9579879341614339377143617981767 y[1] (numeric) = 5.9579879341614340592163720655595 absolute error = 1.215020102673828e-16 relative error = 2.0393127950247147488210873457095e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.602 y[1] (analytic) = 5.9629484019161003988833272627379 y[1] (numeric) = 5.9629484019161005207496619345008 absolute error = 1.218663346717629e-16 relative error = 2.0437261310629998986846685981583e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.603 y[1] (analytic) = 5.9679138326195823551999705870222 y[1] (numeric) = 5.9679138326195824774312370528366 absolute error = 1.222312664658144e-16 relative error = 2.0481406048076547061466656068990e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.604 y[1] (analytic) = 5.972884231237310923932153837366 y[1] (numeric) = 5.9728842312373110465289603376013 absolute error = 1.225968065002353e-16 relative error = 2.0525562149534379596125667957221e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.605 y[1] (analytic) = 5.9778596027396851370083443633297 y[1] (numeric) = 5.9778596027396852599712999901475 absolute error = 1.229629556268178e-16 relative error = 2.0569729601957064621798354488974e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.606 y[1] (analytic) = 5.982839952102076911417060926098 y[1] (numeric) = 5.982839952102077034746775624548 absolute error = 1.233297146984500e-16 relative error = 2.0613908392304223199965579323072e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.607 y[1] (analytic) = 5.9878252843048360245792053013396 y[1] (numeric) = 5.987825284304836148276289870456 absolute error = 1.236970845691164e-16 relative error = 2.0658098507541401299109024745123e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.608 y[1] (analytic) = 5.9928156043332950946982547292702 y[1] (numeric) = 5.9928156043332952187633208231703 absolute error = 1.240650660939001e-16 relative error = 2.0702299934640225747018064476948e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.609 y[1] (analytic) = 5.9978109171777745660932955625286 y[1] (numeric) = 5.9978109171777746905269556915124 absolute error = 1.244336601289838e-16 relative error = 2.0746512660578359094979889199085e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.61 y[1] (analytic) = 6.0028112278335876995198834453142 y[1] (numeric) = 6.0028112278335878243227509769653 absolute error = 1.248028675316511e-16 relative error = 2.0790736672339504446319120561270e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.611 y[1] (analytic) = 6.0078165413010455674837203450615 y[1] (numeric) = 6.0078165413010456926564095053492 absolute error = 1.251726891602877e-16 relative error = 2.0834971956913393378488587255969e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.550e-16 Order of pole = 0.5 x[1] = 1.612 y[1] (analytic) = 6.0128268625854620545521437507452 y[1] (numeric) = 6.0128268625854621800952696251284 absolute error = 1.255431258743832e-16 relative error = 2.0879218501295873474759663924248e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.613 y[1] (analytic) = 6.0178421966971588626684283497218 y[1] (numeric) = 6.0178421966971589885826068842542 absolute error = 1.259141785345324e-16 relative error = 2.0923476292488912094573409476605e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.614 y[1] (analytic) = 6.0228625486514705214739054978273 y[1] (numeric) = 6.0228625486514706477597535002632 absolute error = 1.262858480024359e-16 relative error = 2.0967745317500483662685758457643e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.615 y[1] (analytic) = 6.0278879234687494036429108052661 y[1] (numeric) = 6.0278879234687495303010459461685 absolute error = 1.266581351409024e-16 relative error = 2.1012025563344739305938909788842e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.616 y[1] (analytic) = 6.0329183261743707452355751736583 y[1] (numeric) = 6.0329183261743708722666159875079 absolute error = 1.270310408138496e-16 relative error = 2.1056317017041943343859197656406e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.617 y[1] (analytic) = 6.0379537617987376710734796374546 y[1] (numeric) = 6.0379537617987377984780455237601 absolute error = 1.274045658863055e-16 relative error = 2.1100619665618476105133033949069e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.618 y[1] (analytic) = 6.0429942353772862251431993857913 y[1] (numeric) = 6.0429942353772863529219106102013 absolute error = 1.277787112244100e-16 relative error = 2.1144933496106886135453981488733e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.619 y[1] (analytic) = 6.0480397519504904060327673687502 y[1] (numeric) = 6.0480397519504905341862450641661 absolute error = 1.281534776954159e-16 relative error = 2.1189258495545842699444811657344e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.62 y[1] (analytic) = 6.053090316563867207406092924905 y[1] (numeric) = 6.0530903165638673359349590925957 absolute error = 1.285288661676907e-16 relative error = 2.1233594650980220444633925849980e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.621 y[1] (analytic) = 6.0581459342679816635203759049944 y[1] (numeric) = 6.0581459342679817924252534157122 absolute error = 1.289048775107178e-16 relative error = 2.1277941949461084362200085020346e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.622 y[1] (analytic) = 6.0632066101184518997915618095556 y[1] (numeric) = 6.0632066101184520290730744046532 absolute error = 1.292815125950976e-16 relative error = 2.1322300378045658089869075930998e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.623 y[1] (analytic) = 6.0682723491759541884128885063939 y[1] (numeric) = 6.0682723491759543180716607989431 absolute error = 1.296587722925492e-16 relative error = 2.1366669923797391008376469254141e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.624 y[1] (analytic) = 6.0733431565062280090315801468578 y[1] (numeric) = 6.0733431565062281390682376227694 absolute error = 1.300366574759116e-16 relative error = 2.1411050573785942435023157885833e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.625 y[1] (analytic) = 6.0784190371800811144887489580334 y[1] (numeric) = 6.0784190371800812449039179771786 absolute error = 1.304151690191452e-16 relative error = 2.1455442315087215010650479153216e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.626 y[1] (analytic) = 6.0834999962733946016275706511838 y[1] (numeric) = 6.0834999962733947324218784485168 absolute error = 1.307943077973330e-16 relative error = 2.1499845134783338364996268535325e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.627 y[1] (analytic) = 6.0885860388671279871748042550302 y[1] (numeric) = 6.0885860388671281183488789417122 absolute error = 1.311740746866820e-16 relative error = 2.1544259019962685471185770830704e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.628 y[1] (analytic) = 6.0936771700473242887007322558178 y[1] (numeric) = 6.0936771700473244202552028203427 absolute error = 1.315544705645249e-16 relative error = 2.1588683957719937908643098437267e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.629 y[1] (analytic) = 6.0987733949051151106626020045313 y[1] (numeric) = 6.0987733949051152425980983138521 absolute error = 1.319354963093208e-16 relative error = 2.1633119935155986590164157802284e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=49.5MB, alloc=4.2MB, time=2.47 NO POLE x[1] = 1.63 y[1] (analytic) = 6.1038747185367257355366544351225 y[1] (numeric) = 6.1038747185367258678538072357798 absolute error = 1.323171528006573e-16 relative error = 2.1677566939378062107174665430603e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.631 y[1] (analytic) = 6.1089811460434802200438312262063 y[1] (numeric) = 6.1089811460434803527432721454577 absolute error = 1.326994409192514e-16 relative error = 2.1722024957499667748205278354744e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.632 y[1] (analytic) = 6.1140926825318064964742566323543 y[1] (numeric) = 6.1140926825318066295566181793054 absolute error = 1.330823615469511e-16 relative error = 2.1766493976640627100286854650437e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.633 y[1] (analytic) = 6.1192093331132414791155953098944 y[1] (numeric) = 6.1192093331132416125815108766311 absolute error = 1.334659155667367e-16 relative error = 2.1810973983927082143687194675862e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.634 y[1] (analytic) = 6.124331102904436175790392565999 y[1] (numeric) = 6.1243311029044363096404964287212 absolute error = 1.338501038627222e-16 relative error = 2.1855464966491507441947824460268e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.635 y[1] (analytic) = 6.1294579970271608045075085688286 y[1] (numeric) = 6.1294579970271609387424358889853 absolute error = 1.342349273201567e-16 relative error = 2.1899966911472724018080351505990e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.636 y[1] (analytic) = 6.1345900206083099152327631705911 y[1] (numeric) = 6.1345900206083100498531499960168 absolute error = 1.346203868254257e-16 relative error = 2.1944479806015896617224208039824e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.637 y[1] (analytic) = 6.1397271787799075167839131145883 y[1] (numeric) = 6.139727178779907651790396380641 absolute error = 1.350064832660527e-16 relative error = 2.1989003637272579602021904221440e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.638 y[1] (analytic) = 6.1448694766791122088550885216543 y[1] (numeric) = 6.1448694766791123442483060523547 absolute error = 1.353932175307004e-16 relative error = 2.2033538392400697279423118910046e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.639 y[1] (analytic) = 6.15001691944822231917582068085 y[1] (numeric) = 6.1500169194482224549564111900221 absolute error = 1.357805905091721e-16 relative error = 2.2078084058564556602695661438926e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.64 y[1] (analytic) = 6.1551695122346810458097983038692 y[1] (numeric) = 6.1551695122346811819784013962822 absolute error = 1.361686030924130e-16 relative error = 2.2122640622934843319475962979671e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.641 y[1] (analytic) = 6.1603272601910816045984945423413 y[1] (numeric) = 6.1603272601910817411557507148533 absolute error = 1.365572561725120e-16 relative error = 2.2167208072688699059796693616003e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.642 y[1] (analytic) = 6.165490168475172381754812212087 y[1] (numeric) = 6.1654901684751725187013628547898 absolute error = 1.369465506427028e-16 relative error = 2.2211786395009684257703306451853e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.643 y[1] (analytic) = 6.170658242249862091611899818401 y[1] (numeric) = 6.170658242249862228948387215766 absolute error = 1.373364873973650e-16 relative error = 2.2256375577087741014228227803680e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.644 y[1] (analytic) = 6.1758314866832249395322961316073 y[1] (numeric) = 6.1758314866832250772593634636336 absolute error = 1.377270673320263e-16 relative error = 2.2300975606119334016102703444768e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.645 y[1] (analytic) = 6.1810099069485057899825662224634 y[1] (numeric) = 6.1810099069485059281008575658264 absolute error = 1.381182913433630e-16 relative error = 2.2345586469307315465950318115316e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.646 y[1] (analytic) = 6.1861935082241253397785970324779 y[1] (numeric) = 6.1861935082241254782887573616799 absolute error = 1.385101603292020e-16 relative error = 2.2390208153861032920957632321860e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.647 y[1] (analytic) = 6.19138229569368529650672572487 y[1] (numeric) = 6.1913822956936854354094009133922 absolute error = 1.389026751885222e-16 relative error = 2.2434840646996339435975210101002e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.648 y[1] (analytic) = 6.1965762745459735621258792377303 y[1] (numeric) = 6.1965762745459737014217160591857 absolute error = 1.392958368214554e-16 relative error = 2.2479483935935522720033221131587e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.649 y[1] (analytic) = 6.2017754499749694217559086419538 y[1] (numeric) = 6.201775449974969561445554771242 absolute error = 1.396896461292882e-16 relative error = 2.2524138007907395647288009777699e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.65 y[1] (analytic) = 6.2069798271798487376573070927123 y[1] (numeric) = 6.2069798271798488777414111071757 absolute error = 1.400841040144634e-16 relative error = 2.2568802850147305512898096398489e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.651 y[1] (analytic) = 6.2121894113649891484075053546177 y[1] (numeric) = 6.2121894113649892888867167351987 absolute error = 1.404792113805810e-16 relative error = 2.2613478449897078606324000096868e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.652 y[1] (analytic) = 6.2174042077399752732789440773031 y[1] (numeric) = 6.2174042077399754141539132097032 absolute error = 1.408749691324001e-16 relative error = 2.2658164794405109571841084788590e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.653 y[1] (analytic) = 6.22262422151960392182412719993 y[1] (numeric) = 6.22262422151960406309550537577 absolute error = 1.412713781758400e-16 relative error = 2.2702861870926321510108627441277e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.654 y[1] (analytic) = 6.2278494579238893086728660701076 y[1] (numeric) = 6.2278494579238894503413054880893 absolute error = 1.416684394179817e-16 relative error = 2.2747569666722190260968631054276e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.655 y[1] (analytic) = 6.2330799221780682735469290749028 y[1] (numeric) = 6.233079922178068415613082841972 absolute error = 1.420661537670692e-16 relative error = 2.2792288169060736230288827280681e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.656 y[1] (analytic) = 6.2383156195126055064973167990266 y[1] (numeric) = 6.2383156195126056489618389315379 absolute error = 1.424645221325113e-16 relative error = 2.2837017365216596160588573059519e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.657 y[1] (analytic) = 6.2435565551631987783693879479068 y[1] (numeric) = 6.2435565551631989212329333727895 absolute error = 1.428635454248827e-16 relative error = 2.2881757242470982177414398491965e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.658 y[1] (analytic) = 6.2488027343707841765010665012086 y[1] (numeric) = 6.248802734370784319764291057134 absolute error = 1.432632245559254e-16 relative error = 2.2926507788111688803031387200913e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.659 y[1] (analytic) = 6.2540541623815413456593657954475 y[1] (numeric) = 6.2540541623815414893229262339977 absolute error = 1.436635604385502e-16 relative error = 2.2971268989433115676664078945904e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.66 y[1] (analytic) = 6.2593108444468987342204704726538 y[1] (numeric) = 6.259310844446898878285024459492 absolute error = 1.440645539868382e-16 relative error = 2.3016040833736289912339843230685e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.661 y[1] (analytic) = 6.2645727858235388455986224756095 y[1] (numeric) = 6.2645727858235389900648285916516 absolute error = 1.444662061160421e-16 relative error = 2.3060823308328856170214494166977e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.662 y[1] (analytic) = 6.2698399917734034949290625189798 y[1] (numeric) = 6.2698399917734036397975802615678 absolute error = 1.448685177425880e-16 relative error = 2.3105616400525146276152167000255e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.663 y[1] (analytic) = 6.2751124675636990710102837197202 y[1] (numeric) = 6.2751124675636992162817735037963 absolute error = 1.452714897840761e-16 relative error = 2.3150420097646072946067423362058e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.664 y[1] (analytic) = 6.2803902184669018035108593294496 y[1] (numeric) = 6.2803902184669019491859824887324 absolute error = 1.456751231592828e-16 relative error = 2.3195234387019246712648072599234e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.665 y[1] (analytic) = 6.2856732497607630354461117760574 y[1] (numeric) = 6.2856732497607631815255305642192 absolute error = 1.460794187881618e-16 relative error = 2.3240059255978932922173912540852e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.666 y[1] (analytic) = 6.2909615667283145009298954916526 y[1] (numeric) = 6.2909615667283146474142730834982 absolute error = 1.464843775918456e-16 relative error = 2.3284894691866072281657997479753e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.667 y[1] (analytic) = 6.2962551746578736082067712790772 y[1] (numeric) = 6.2962551746578737550967717717244 absolute error = 1.468900004926472e-16 relative error = 2.3329740682028332817850580909371e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.668 y[1] (analytic) = 6.3015540788430487279698552495994 y[1] (numeric) = 6.3015540788430488752661436636605 absolute error = 1.472962884140611e-16 relative error = 2.3374597213820050240641810774357e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.669 y[1] (analytic) = 6.3068582845827444869696306500752 y[1] (numeric) = 6.3068582845827446346728729308401 absolute error = 1.477032422807649e-16 relative error = 2.3419464274602263491448591226700e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.67 y[1] (analytic) = 6.3121677971811670669190161888314 y[1] (numeric) = 6.3121677971811672150298792074525 absolute error = 1.481108630186211e-16 relative error = 2.3464341851742781547214728337867e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.671 y[1] (analytic) = 6.3174826219478295086999897657817 y[1] (numeric) = 6.3174826219478296572191413204597 absolute error = 1.485191515546780e-16 relative error = 2.3509229932616107175050253554019e-15 % h = 0.001 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=4.2MB, time=2.66 x[1] = 1.672 y[1] (analytic) = 6.322802764197557021877071813839 y[1] (numeric) = 6.3228027641975571708051806310102 absolute error = 1.489281088171712e-16 relative error = 2.3554128504603455715152954009128e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.673 y[1] (analytic) = 6.3281282292504922995229777655511 y[1] (numeric) = 6.3281282292504924488607135010768 absolute error = 1.493377357355257e-16 relative error = 2.3599037555092868333262037052027e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.674 y[1] (analytic) = 6.3334590224321008383617544710559 y[1] (numeric) = 6.3334590224321009881097877114125 absolute error = 1.497480332403566e-16 relative error = 2.3643957071479103402214219984315e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.675 y[1] (analytic) = 6.3387951490731762642347207109341 y[1] (numeric) = 6.338795149073176414393722974405 absolute error = 1.501590022634709e-16 relative error = 2.3688887041163701714451689672136e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.676 y[1] (analytic) = 6.3441366145098456628945372703451 y[1] (numeric) = 6.3441366145098458134651810082138 absolute error = 1.505706437378687e-16 relative error = 2.3733827451554956538635691654231e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.677 y[1] (analytic) = 6.3494834240835749161327373689596 y[1] (numeric) = 6.3494834240835750671156959667047 absolute error = 1.509829585977451e-16 relative error = 2.3778778290067993820888918240734e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.678 y[1] (analytic) = 6.3548355831411740432460535746645 y[1] (numeric) = 6.3548355831411741946420013531558 absolute error = 1.513959477784913e-16 relative error = 2.3823739544124725840812523706182e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.679 y[1] (analytic) = 6.360193097034802547846882667812 y[1] (numeric) = 6.3601930970348026996564948845083 absolute error = 1.518096122166963e-16 relative error = 2.3868711201153899185834485859806e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.68 y[1] (analytic) = 6.3655559711219747700232352669232 y[1] (numeric) = 6.3655559711219749222471881170712 absolute error = 1.522239528501480e-16 relative error = 2.3913693248591047973615706827253e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.681 y[1] (analytic) = 6.370924210765565243853522376242 y[1] (numeric) = 6.370924210765565396492492994077 absolute error = 1.526389706178350e-16 relative error = 2.3958685673878556932270784222946e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.682 y[1] (analytic) = 6.3762978213338140602815363703721 y[1] (numeric) = 6.3762978213338142133362028303199 absolute error = 1.530546664599478e-16 relative error = 2.4003688464465629810791683071946e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.683 y[1] (analytic) = 6.3816768082003322353569892914251 y[1] (numeric) = 6.3816768082003323888280306093057 absolute error = 1.534710413178806e-16 relative error = 2.4048701607808351715180517568850e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.684 y[1] (analytic) = 6.3870611767441070838469766996656 y[1] (numeric) = 6.3870611767441072377350728338981 absolute error = 1.538880961342325e-16 relative error = 2.4093725091369656936451768900635e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.685 y[1] (analytic) = 6.3924509323495075982237406895646 y[1] (numeric) = 6.3924509323495077525295725423737 absolute error = 1.543058318528091e-16 relative error = 2.4138758902619359261410059936326e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.686 y[1] (analytic) = 6.3978460804062898330341110594726 y[1] (numeric) = 6.3978460804062899877583604780964 absolute error = 1.547242494186238e-16 relative error = 2.4183803029034134985817585033542e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.687 y[1] (analytic) = 6.4032466263096022946560090048022 y[1] (numeric) = 6.4032466263096024497993587827016 absolute error = 1.551433497778994e-16 relative error = 2.4228857458097552610818279634279e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.688 y[1] (analytic) = 6.4086525754599913364474030916731 y[1] (numeric) = 6.4086525754599914920105369697428 absolute error = 1.555631338780697e-16 relative error = 2.4273922177300102135251647545695e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.689 y[1] (analytic) = 6.4140639332634065592931126604252 y[1] (numeric) = 6.414063933263406715276715328206 absolute error = 1.559836026677808e-16 relative error = 2.4318997174139177173197202303773e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.69 y[1] (analytic) = 6.4194807051312062175548592062532 y[1] (numeric) = 6.4194807051312063739596163031456 absolute error = 1.564047570968924e-16 relative error = 2.4364082436119056907323789353144e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.691 y[1] (analytic) = 6.4249028964801626304299716874637 y[1] (numeric) = 6.4249028964801627872565698039436 absolute error = 1.568265981164799e-16 relative error = 2.4409177950751012394527888905295e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.692 y[1] (analytic) = 6.4303305127324675987241571205134 y[1] (numeric) = 6.4303305127324677559732837993484 absolute error = 1.572491266788350e-16 relative error = 2.4454283705553178809244102534538e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.693 y[1] (analytic) = 6.435763559315737827043753235047 y[1] (numeric) = 6.4357635593157379847160969725151 absolute error = 1.576723437374681e-16 relative error = 2.4499399688050707765073515447242e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.694 y[1] (analytic) = 6.4412020416630203514128853816428 y[1] (numeric) = 6.4412020416630205095091356287518 absolute error = 1.580962502471090e-16 relative error = 2.4544525885775654684505861098828e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.695 y[1] (analytic) = 6.4466459652127979723209553098721 y[1] (numeric) = 6.4466459652127981308418024735811 absolute error = 1.585208471637090e-16 relative error = 2.4589662286267083650129575320980e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.696 y[1] (analytic) = 6.4520953354089946932058948646169 y[1] (numeric) = 6.4520953354089948521520303090588 absolute error = 1.589461354444419e-16 relative error = 2.4634808877071000982216033944493e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.697 y[1] (analytic) = 6.4575501577009811643786230843498 y[1] (numeric) = 6.4575501577009813237507391320556 absolute error = 1.593721160477058e-16 relative error = 2.4679965645740412782491759605461e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.698 y[1] (analytic) = 6.4630104375435801323941506262894 y[1] (numeric) = 6.4630104375435802921929405594139 absolute error = 1.597987899331245e-16 relative error = 2.4725132579835320039850678288955e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.699 y[1] (analytic) = 6.4684761803970718948747808899881 y[1] (numeric) = 6.4684761803970720551009389515372 absolute error = 1.602261580615491e-16 relative error = 2.4770309666922744423543642574619e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.7 y[1] (analytic) = 6.4739473917271997607908626630091 y[1] (numeric) = 6.4739473917271999214450840580682 absolute error = 1.606542213950591e-16 relative error = 2.4815496894576676456399311141911e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.701 y[1] (analytic) = 6.4794240770051755162045545698991 y[1] (numeric) = 6.4794240770051756772875354668636 absolute error = 1.610829808969645e-16 relative error = 2.4860694250378178028622757657136e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.702 y[1] (analytic) = 6.484906241707684895482067068678 y[1] (numeric) = 6.4849062417076850569945046004848 absolute error = 1.615124375318068e-16 relative error = 2.4905901721915314510564829986697e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.703 y[1] (analytic) = 6.490393891316893057979853207542 y[1] (numeric) = 6.4903938913168932199224454729028 absolute error = 1.619425922653608e-16 relative error = 2.4951119296783210211181656613449e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.704 y[1] (analytic) = 6.495887031320450070210224828429 y[1] (numeric) = 6.4958870313204502325836708930647 absolute error = 1.623734460646357e-16 relative error = 2.4996346962583995537597399220771e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.705 y[1] (analytic) = 6.5013856672114963934918763835174 y[1] (numeric) = 6.5013856672114965562968762813947 absolute error = 1.628049998978773e-16 relative error = 2.5041584706926923359700394385425e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.706 y[1] (analytic) = 6.5068898044886683770908040156412 y[1] (numeric) = 6.50688980448866854032805875021 absolute error = 1.632372547345688e-16 relative error = 2.5086832517428269370359774769680e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.707 y[1] (analytic) = 6.5123994486561037568571130439972 y[1] (numeric) = 6.5123994486561039205273245894299 absolute error = 1.636702115454327e-16 relative error = 2.5132090381711401601188550621650e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.708 y[1] (analytic) = 6.5179146052234471593632124924101 y[1] (numeric) = 6.5179146052234473234670837948424 absolute error = 1.641038713024323e-16 relative error = 2.5177358287406787958433081787438e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.709 y[1] (analytic) = 6.5234352797058556115489007988092 y[1] (numeric) = 6.5234352797058557760871357775822 absolute error = 1.645382349787730e-16 relative error = 2.5222636222151972803306394592599e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.71 y[1] (analytic) = 6.528961477624004055878852351461 y[1] (numeric) = 6.5289614776240042208521559003649 absolute error = 1.649733035489039e-16 relative error = 2.5267924173591599341586916751908e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.711 y[1] (analytic) = 6.5344932045040908710180200099042 y[1] (numeric) = 6.5344932045040910364270979984236 absolute error = 1.654090779885194e-16 relative error = 2.5313222129377431640914368802045e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.712 y[1] (analytic) = 6.5400304658778433980304742864492 y[1] (numeric) = 6.54003046587784356387603356101 absolute error = 1.658455592745608e-16 relative error = 2.5358530077168376277280923528711e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.713 y[1] (analytic) = 6.5455732672825234721072053875428 y[1] (numeric) = 6.5455732672825236383899537727603 absolute error = 1.662827483852175e-16 relative error = 2.5403848004630442502210266060255e-15 % h = 0.001 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=4.2MB, time=2.85 x[1] = 1.714 y[1] (analytic) = 6.5511216142609329598284198432597 y[1] (numeric) = 6.5511216142609331265490661431885 absolute error = 1.667206462999288e-16 relative error = 2.5449175899436793940025590954333e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.715 y[1] (analytic) = 6.5566755123614193019658689876804 y[1] (numeric) = 6.5566755123614194691251229870656 absolute error = 1.671592539993852e-16 relative error = 2.5494513749267723504932908127508e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.716 y[1] (analytic) = 6.562234967137881061830752092944 y[1] (numeric) = 6.5622349671378812294293245584743 absolute error = 1.675985724655303e-16 relative error = 2.5539861541810719617837291117613e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.717 y[1] (analytic) = 6.567799984149773479172742505344 y[1] (numeric) = 6.5677999841497736472113451869058 absolute error = 1.680386026815618e-16 relative error = 2.5585219264760394794525666951955e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.718 y[1] (analytic) = 6.573370568962114029635690682953 y[1] (numeric) = 6.5733705689621141981150363148864 absolute error = 1.684793456319334e-16 relative error = 2.5630586905818551252276691183354e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.719 y[1] (analytic) = 6.5789467271454879897755635909454 y[1] (numeric) = 6.5789467271454881586963658933017 absolute error = 1.689208023023563e-16 relative error = 2.5675964452694185122899034257913e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.72 y[1] (analytic) = 6.5845284642760540076461854730193 y[1] (numeric) = 6.58452846427605417700915915282 absolute error = 1.693629736798007e-16 relative error = 2.5721351893103490383488602969795e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.721 y[1] (analytic) = 6.5901157859355496789583505851238 y[1] (numeric) = 6.5901157859355498487642113376208 absolute error = 1.698058607524970e-16 relative error = 2.5766749214769816983469246540755e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.722 y[1] (analytic) = 6.5957086977112971288178840510681 y[1] (numeric) = 6.5957086977112972990673485610061 absolute error = 1.702494645099380e-16 relative error = 2.5812156405423780537259817409015e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.723 y[1] (analytic) = 6.6013072051962085990482325785396 y[1] (numeric) = 6.6013072051962087697420185214193 absolute error = 1.706937859428797e-16 relative error = 2.5857573452803159118851933824539e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.724 y[1] (analytic) = 6.6069113139887920411031723585858 y[1] (numeric) = 6.6069113139887922122419984019295 absolute error = 1.711388260433437e-16 relative error = 2.5903000344653032490087301241072e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.725 y[1] (analytic) = 6.6125210296931567145752270617358 y[1] (numeric) = 6.6125210296931568861598128663536 absolute error = 1.715845858046178e-16 relative error = 2.5948437068725648148419687142932e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.726 y[1] (analytic) = 6.6181363579190187913053944396445 y[1] (numeric) = 6.6181363579190189633364606609025 absolute error = 1.720310662212580e-16 relative error = 2.5993883612780499333681130715614e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.727 y[1] (analytic) = 6.6237573042817069650997856424531 y[1] (numeric) = 6.6237573042817071375780539315434 absolute error = 1.724782682890903e-16 relative error = 2.6039339964584372182090350446622e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.728 y[1] (analytic) = 6.6293838744021680670587869689742 y[1] (numeric) = 6.6293838744021682399849799741859 absolute error = 1.729261930052117e-16 relative error = 2.6084806111911271702950024627902e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.729 y[1] (analytic) = 6.6350160739069726865243593793293 y[1] (numeric) = 6.6350160739069728598992007473215 absolute error = 1.733748413679922e-16 relative error = 2.6130282042542498584876601445996e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.73 y[1] (analytic) = 6.640653908428320797651096717808 y[1] (numeric) = 6.6406539084283209714753110948841 absolute error = 1.738242143770761e-16 relative error = 2.6175767744266619937309624464103e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.731 y[1] (analytic) = 6.6462973836040473916066692174754 y[1] (numeric) = 6.646297383604047565880982250859 absolute error = 1.742743130333836e-16 relative error = 2.6221263204879485055756286395006e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.732 y[1] (analytic) = 6.6519465050776281144072844874402 y[1] (numeric) = 6.6519465050776282891324228265527 absolute error = 1.747251383391125e-16 relative error = 2.6266768412184255876932869935386e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.733 y[1] (analytic) = 6.6576012784981849103938038187158 y[1] (numeric) = 6.6576012784981850855704951164551 absolute error = 1.751766912977393e-16 relative error = 2.6312283353991346892888445675922e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.734 y[1] (analytic) = 6.6632617095204916713541572852586 y[1] (numeric) = 6.6632617095204918469831301992801 absolute error = 1.756289729140215e-16 relative error = 2.6357808018118545199620564745838e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.735 y[1] (analytic) = 6.668927803804979891297706763072 y[1] (numeric) = 6.6689278038049800673796909570704 absolute error = 1.760819841939984e-16 relative error = 2.6403342392390904746922634614329e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.736 y[1] (analytic) = 6.6745995670177443268872116422082 y[1] (numeric) = 6.6745995670177445034229377872014 absolute error = 1.765357261449932e-16 relative error = 2.6448886464640835630936759317472e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.737 y[1] (analytic) = 6.6802770048305486635340576641065 y[1] (numeric) = 6.6802770048305488405242574397208 absolute error = 1.769901997756143e-16 relative error = 2.6494440222708072912412844152494e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.712e-16 Order of pole = 0.5 x[1] = 1.738 y[1] (analytic) = 6.6859601229208311871624149799684 y[1] (numeric) = 6.6859601229208313646078210757254 absolute error = 1.774454060957570e-16 relative error = 2.6540003654439705156169559085985e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.739 y[1] (analytic) = 6.6916489269717104616479971948011 y[1] (numeric) = 6.6916489269717106395493433114058 absolute error = 1.779013461166047e-16 relative error = 2.6585576747690127840595528283128e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.712e-16 Order of pole = 0.5 x[1] = 1.74 y[1] (analytic) = 6.6973434226719910119370988363601 y[1] (numeric) = 6.6973434226719911902951196869912 absolute error = 1.783580208506311e-16 relative error = 2.6631159490321146052922358231717e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.741 y[1] (analytic) = 6.7030436157161690128515943685033 y[1] (numeric) = 6.7030436157161691916670256801046 absolute error = 1.788154313116013e-16 relative error = 2.6676751870201912291604650788325e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.742 y[1] (analytic) = 6.7087495118044379835855875544297 y[1] (numeric) = 6.7087495118044381628591660690031 absolute error = 1.792735785145734e-16 relative error = 2.6722353875208938849880753831240e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.743 y[1] (analytic) = 6.7144611166426944878994056669249 y[1] (numeric) = 6.7144611166426946676318691428252 absolute error = 1.797324634759003e-16 relative error = 2.6767965493226139657522750384360e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.744 y[1] (analytic) = 6.7201784359425438400166387400849 y[1] (numeric) = 6.7201784359425440202087259533161 absolute error = 1.801920872132312e-16 relative error = 2.6813586712144827002010385728894e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.745 y[1] (analytic) = 6.7259014754213058162299297600317 y[1] (numeric) = 6.7259014754213059968823805055446 absolute error = 1.806524507455129e-16 relative error = 2.6859217519863678264703781344187e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.746 y[1] (analytic) = 6.7316302408020203722212274008865 y[1] (numeric) = 6.7316302408020205533347824938782 absolute error = 1.811135550929917e-16 relative error = 2.6904857904288791692314203981904e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.712e-16 Order of pole = 0.5 x[1] = 1.747 y[1] (analytic) = 6.7373647378134533661022186267307 y[1] (numeric) = 6.7373647378134535476776199039456 absolute error = 1.815754012772149e-16 relative error = 2.6950507853333682247481006155916e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.748 y[1] (analytic) = 6.7431049721901022871806642004637 y[1] (numeric) = 6.743104972190102469218654521496 absolute error = 1.820379903210323e-16 relative error = 2.6996167354919277214051631363282e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.749 y[1] (analytic) = 6.7488509496722019904583658663702 y[1] (numeric) = 6.7488509496722021729596891149683 absolute error = 1.825013232485981e-16 relative error = 2.7041836396973970827623416826349e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.75 y[1] (analytic) = 6.7546026760057304368664997048427 y[1] (numeric) = 6.7546026760057306198319007902145 absolute error = 1.829654010853718e-16 relative error = 2.7087514967433530313191253108443e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.751 y[1] (analytic) = 6.7603601569424144392440558950701 y[1] (numeric) = 6.7603601569424146226742807531907 absolute error = 1.834302248581206e-16 relative error = 2.7133203054241224017228550765337e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.752 y[1] (analytic) = 6.7661233982397354140651308646117 y[1] (numeric) = 6.7661233982397355979609264595321 absolute error = 1.838957955949204e-16 relative error = 2.7178900645347741705486481384749e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.753 y[1] (analytic) = 6.7718924056609351389208235536275 y[1] (numeric) = 6.7718924056609353232829378787852 absolute error = 1.843621143251577e-16 relative error = 2.7224607728711247902462694956325e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.754 y[1] (analytic) = 6.7776671849750215157614932761416 y[1] (numeric) = 6.7776671849750217005906753556725 absolute error = 1.848291820795309e-16 relative error = 2.7270324292297346165060200767285e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.755 y[1] (analytic) = 6.7834477419567743399051424210758 y[1] (numeric) = 6.783447741956774525202142311128 absolute error = 1.852969998900522e-16 relative error = 2.7316050324079131721634580664896e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 memory used=61.0MB, alloc=4.2MB, time=3.04 x[1] = 1.756 y[1] (analytic) = 6.7892340823867510748176930019174 y[1] (numeric) = 6.7892340823867512605832617919667 absolute error = 1.857655687900493e-16 relative error = 2.7361785812037214115938785881772e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.757 y[1] (analytic) = 6.7950262120512926326709318357798 y[1] (numeric) = 6.7950262120512928189058216499463 absolute error = 1.862348898141665e-16 relative error = 2.7407530744159651167085527049482e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.758 y[1] (analytic) = 6.8008241367425291606839049102811 y[1] (numeric) = 6.8008241367425293473888689086477 absolute error = 1.867049639983666e-16 relative error = 2.7453285108442000631438268362452e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.759 y[1] (analytic) = 6.8066278622583858332535472801182 y[1] (numeric) = 6.8066278622583860204293396600509 absolute error = 1.871757923799327e-16 relative error = 2.7499048892887356640701751284694e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.76 y[1] (analytic) = 6.8124373944025886498803406244497 y[1] (numeric) = 6.812437394402588837527716621919 absolute error = 1.876473759974693e-16 relative error = 2.7544822085506282931633182389057e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.761 y[1] (analytic) = 6.8182527389846702388947963912265 y[1] (numeric) = 6.818252738984670427014512282131 absolute error = 1.881197158909045e-16 relative error = 2.7590604674316907479836586358303e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.762 y[1] (analytic) = 6.8240739018199756669905682554387 y[1] (numeric) = 6.8240739018199758555833813569298 absolute error = 1.885928131014911e-16 relative error = 2.7636396647344855186655092178357e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.763 y[1] (analytic) = 6.8299008887296682545700034248743 y[1] (numeric) = 6.8299008887296684436366720966827 absolute error = 1.890666686718084e-16 relative error = 2.7682197992623283131317573587311e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.764 y[1] (analytic) = 6.8357337055407353969079481394257 y[1] (numeric) = 6.8357337055407355864492317851896 absolute error = 1.895412836457639e-16 relative error = 2.7728008698192900744531800544154e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.765 y[1] (analytic) = 6.8415723580859943911396285282354 y[1] (numeric) = 6.8415723580859945811562875968303 absolute error = 1.900166590685949e-16 relative error = 2.7773828752101974992639065187607e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.766 y[1] (analytic) = 6.8474168522040982690784338130463 y[1] (numeric) = 6.8474168522040984595712297999161 absolute error = 1.904927959868698e-16 relative error = 2.7819658142406291453100089217989e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.767 y[1] (analytic) = 6.8532671937395416358694346760262 y[1] (numeric) = 6.8532671937395418268391301245166 absolute error = 1.909696954484904e-16 relative error = 2.7865496857169261235009089166589e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.768 y[1] (analytic) = 6.8591233885426665144844754460723 y[1] (numeric) = 6.859123388542666705931833948765 absolute error = 1.914473585026927e-16 relative error = 2.7911344884461808395299713831101e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.769 y[1] (analytic) = 6.8649854424696681960646845991733 y[1] (numeric) = 6.8649854424696683879904707992225 absolute error = 1.919257862000492e-16 relative error = 2.7957202212362476160645601337667e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.77 y[1] (analytic) = 6.8708533613826010961162539158285 y[1] (numeric) = 6.8708533613826012885212335082986 absolute error = 1.924049795924701e-16 relative error = 2.8003068828957372238615879032387e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.771 y[1] (analytic) = 6.8767271511493846165653424917908 y[1] (numeric) = 6.8767271511493848094502822249957 absolute error = 1.928849397332049e-16 relative error = 2.8048944722340172304967858748395e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.772 y[1] (analytic) = 6.8826068176438090136779676575249 y[1] (numeric) = 6.8826068176438092070436353343695 absolute error = 1.933656676768446e-16 relative error = 2.8094829880612210378588703129414e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.773 y[1] (analytic) = 6.8884923667455412718507507267631 y[1] (numeric) = 6.8884923667455414656979152060856 absolute error = 1.938471644793225e-16 relative error = 2.8140724291882365224737581541932e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.774 y[1] (analytic) = 6.8943838043401309832783913653911 y[1] (numeric) = 6.8943838043401311776078225633076 absolute error = 1.943294311979165e-16 relative error = 2.8186627944267164636953569032583e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.775 y[1] (analytic) = 6.9002811363190162335037502486301 y[1] (numeric) = 6.9002811363190164283162191398806 absolute error = 1.948124688912505e-16 relative error = 2.8232540825890758483942946393371e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.776 y[1] (analytic) = 6.906184368579529492856425557088 y[1] (numeric) = 6.9061843685795296881527041763838 absolute error = 1.952962786192958e-16 relative error = 2.8278462924884891622456353490088e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.777 y[1] (analytic) = 6.9120935070249035137857147507459 y[1] (numeric) = 6.9120935070249037095665761941191 absolute error = 1.957808614433732e-16 relative error = 2.8324394229388977948882425651714e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.778 y[1] (analytic) = 6.9180085575642772340938589543353 y[1] (numeric) = 6.9180085575642774303600773804896 absolute error = 1.962662184261543e-16 relative error = 2.8370334727550058158972742599608e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.779 y[1] (analytic) = 6.9239295261127016860754731878399 y[1] (numeric) = 6.9239295261127018828278238195031 absolute error = 1.967523506316632e-16 relative error = 2.8416284407522815222147886441413e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.78 y[1] (analytic) = 6.9298564185911459115690715820469 y[1] (numeric) = 6.929856418591146108808330707325 absolute error = 1.972392591252781e-16 relative error = 2.8462243257469575073707174561714e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.781 y[1] (analytic) = 6.9357892409265028829266026311638 y[1] (numeric) = 6.9357892409265030806535476048972 absolute error = 1.977269449737334e-16 relative error = 2.8508211265560379120657602022413e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.782 y[1] (analytic) = 6.9417279990515954299069154525317 y[1] (numeric) = 6.9417279990515956281223246976523 absolute error = 1.982154092451206e-16 relative error = 2.8554188419972883234952639377905e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.783 y[1] (analytic) = 6.947672698905182172499083947393 y[1] (numeric) = 6.9476726989051823712037369562833 absolute error = 1.987046530088903e-16 relative error = 2.8600174708892415317856904562319e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.784 y[1] (analytic) = 6.9536233464319634596815216865335 y[1] (numeric) = 6.9536233464319636588761990223876 absolute error = 1.991946773358541e-16 relative error = 2.8646170120512017915115616289099e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.785 y[1] (analytic) = 6.9595799475825873141228262804083 y[1] (numeric) = 6.9595799475825875138083095785942 absolute error = 1.996854832981859e-16 relative error = 2.8692174643032404127704560985633e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.786 y[1] (analytic) = 6.9655425083136553828302979350911 y[1] (numeric) = 6.9655425083136555830073699045149 absolute error = 2.001770719694238e-16 relative error = 2.8738188264661999613196282720328e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.787 y[1] (analytic) = 6.9715110345877288937520828430617 y[1] (numeric) = 6.971511034587729094421527267533 absolute error = 2.006694444244713e-16 relative error = 2.8784210973616883689056151541766e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.712e-16 Order of pole = 0.5 x[1] = 1.788 y[1] (analytic) = 6.9774855323733346183388980114707 y[1] (numeric) = 6.9774855323733348195014997510705 absolute error = 2.011626017395998e-16 relative error = 2.8830242758120916777743187328479e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.789 y[1] (analytic) = 6.9834660076449708400713000901046 y[1] (numeric) = 6.9834660076449710417278450825539 absolute error = 2.016565449924493e-16 relative error = 2.8876283606405609171634858542648e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.79 y[1] (analytic) = 6.9894524663831133289584667268155 y[1] (numeric) = 6.9894524663831135311097419888462 absolute error = 2.021512752620307e-16 relative error = 2.8922333506710219113320348503511e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.791 y[1] (analytic) = 6.9954449145742213220144649496965 y[1] (numeric) = 6.9954449145742215246612585784237 absolute error = 2.026467936287272e-16 relative error = 2.8968392447281721442812586239906e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.792 y[1] (analytic) = 7.0014433582107435097179870527682 y[1] (numeric) = 7.0014433582107437128610882270645 absolute error = 2.031431011742963e-16 relative error = 2.9014460416374861827351735841480e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.793 y[1] (analytic) = 7.0074478032911240284615404454122 y[1] (numeric) = 7.007447803291124232101739427283 absolute error = 2.036401989818708e-16 relative error = 2.9060537402252067732198148546654e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.794 y[1] (analytic) = 7.0134582558198084589960839152395 y[1] (numeric) = 7.0134582558198086631341720512006 absolute error = 2.041380881359611e-16 relative error = 2.9106623393183544931423396763329e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.795 y[1] (analytic) = 7.0194747218072498308771087495312 y[1] (numeric) = 7.0194747218072500355138784719879 absolute error = 2.046367697224567e-16 relative error = 2.9152718377447259279074725476388e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.796 y[1] (analytic) = 7.0254972072699146329181691618323 y[1] (numeric) = 7.0254972072699148380544139904601 absolute error = 2.051362448286278e-16 relative error = 2.9198822343328932531957312225463e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.797 y[1] (analytic) = 7.0315257182302888296578724777299 y[1] (numeric) = 7.0315257182302890352943870208569 absolute error = 2.056365145431270e-16 relative error = 2.9244935279122052139687666635019e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.798 y[1] (analytic) = 7.0375602607168838838463455473078 y[1] (numeric) = 7.0375602607168840899839255032988 absolute error = 2.061375799559910e-16 relative error = 2.9291057173127880708443514742672e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=64.8MB, alloc=4.3MB, time=3.24 Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.799 y[1] (analytic) = 7.0436008407642427849571998712453 y[1] (numeric) = 7.0436008407642429915966420298874 absolute error = 2.066394421586421e-16 relative error = 2.9337188013655436745281407288787e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.8 y[1] (analytic) = 7.0496474644129460837310239530277 y[1] (numeric) = 7.0496474644129462908731261969179 absolute error = 2.071421022438902e-16 relative error = 2.9383327789021546150685441662964e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.801 y[1] (analytic) = 7.0557001377096179327564374212646 y[1] (numeric) = 7.0557001377096181404019987271988 absolute error = 2.076455613059342e-16 relative error = 2.9429476487550808132196564532784e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.802 y[1] (analytic) = 7.0617588667069321330947475036717 y[1] (numeric) = 7.0617588667069323412445679440358 absolute error = 2.081498204403641e-16 relative error = 2.9475634097575660141930505517929e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.803 y[1] (analytic) = 7.0678236574636181869542544778789 y[1] (numeric) = 7.067823657463618395609135222041 absolute error = 2.086548807441621e-16 relative error = 2.9521800607436300716798624242534e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.804 y[1] (analytic) = 7.0738945160444673564202587738724 y[1] (numeric) = 7.073894516044467565581002089577 absolute error = 2.091607433157046e-16 relative error = 2.9567976005480739666763024807330e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.805 y[1] (analytic) = 7.0799714485203387282468284585835 y[1] (numeric) = 7.0799714485203389379142377133475 absolute error = 2.096674092547640e-16 relative error = 2.9614160280064819479166539506147e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.806 y[1] (analytic) = 7.0860544609681652847163918948979 y[1] (numeric) = 7.0860544609681654948912715574082 absolute error = 2.101748796625103e-16 relative error = 2.9660353419552208110854743344994e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.807 y[1] (analytic) = 7.0921435594709599805732264351825 y[1] (numeric) = 7.0921435594709601912563820766952 absolute error = 2.106831556415127e-16 relative error = 2.9706555412314391539535239059065e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.808 y[1] (analytic) = 7.098238750117821826036920083326 y[1] (numeric) = 7.0982387501178220372291583790673 absolute error = 2.111922382957413e-16 relative error = 2.9752766246730680163605450735775e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.809 y[1] (analytic) = 7.1043400390039419759018891392612 y[1] (numeric) = 7.1043400390039421876040178698302 absolute error = 2.117021287305690e-16 relative error = 2.9798985911188243042885881489172e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.81 y[1] (analytic) = 7.1104474322306098247290409259947 y[1] (numeric) = 7.1104474322306100369418689787677 absolute error = 2.122128280527730e-16 relative error = 2.9845214394082085429526325889751e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.811 y[1] (analytic) = 7.1165609359052191081356767913138 y[1] (numeric) = 7.1165609359052193208600141618504 absolute error = 2.127243373705366e-16 relative error = 2.9891451683815068291254116774068e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.812 y[1] (analytic) = 7.122680556141274010189736674583 y[1] (numeric) = 7.1226805561412742234263944680338 absolute error = 2.132366577934508e-16 relative error = 2.9937697768797899376178844971386e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.813 y[1] (analytic) = 7.1288062990583952769144926333827 y[1] (numeric) = 7.128806299058395490664283065899 absolute error = 2.137497904325163e-16 relative error = 2.9983952637449180155195730810839e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.814 y[1] (analytic) = 7.1349381707823263359098048351939 y[1] (numeric) = 7.1349381707823265501735412353387 absolute error = 2.142637364001448e-16 relative error = 3.0030216278195354134722719287970e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.815 y[1] (analytic) = 7.1410761774449394220960596358944 y[1] (numeric) = 7.1410761774449396368745564460553 absolute error = 2.147784968101609e-16 relative error = 3.0076488679470739177395223786165e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.816 y[1] (analytic) = 7.147220325184241709586915489515 y[1] (numeric) = 7.1472203251842419248809882673189 absolute error = 2.152940727778039e-16 relative error = 3.0122769829717545385601314907095e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.817 y[1] (analytic) = 7.1533706201443814496969885625129 y[1] (numeric) = 7.1533706201443816655074539822423 absolute error = 2.158104654197294e-16 relative error = 3.0169059717385864654389850249964e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.818 y[1] (analytic) = 7.1595270684756541150906160607592 y[1] (numeric) = 7.1595270684756543314182919147702 absolute error = 2.163276758540110e-16 relative error = 3.0215358330933673965817021119434e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.819 y[1] (analytic) = 7.1656896763345085500778414185157 y[1] (numeric) = 7.165689676334508766923546618658 absolute error = 2.168457052001423e-16 relative error = 3.0261665658826880252625304256078e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.82 y[1] (analytic) = 7.1718584498835531270637716458996 y[1] (numeric) = 7.1718584498835533444283262249377 absolute error = 2.173645545790381e-16 relative error = 3.0307981689539253203297021704331e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.821 y[1] (analytic) = 7.1780333952915619091574632847049 y[1] (numeric) = 7.1780333952915621270416883977415 absolute error = 2.178842251130366e-16 relative error = 3.0354306411552497447178166186016e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.822 y[1] (analytic) = 7.1842145187334808189464995819814 y[1] (numeric) = 7.1842145187334810373512175078824 absolute error = 2.184047179259010e-16 relative error = 3.0400639813356240570599551863989e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.823 y[1] (analytic) = 7.1904018263904338134434276564624 y[1] (numeric) = 7.1904018263904340323694617992833 absolute error = 2.189260341428209e-16 relative error = 3.0446981883447993099044148557743e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.824 y[1] (analytic) = 7.1965953244497290652102306047914 y[1] (numeric) = 7.196595324449729284658405495206 absolute error = 2.194481748904146e-16 relative error = 3.0493332610333233464165004620865e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.712e-16 Order of pole = 0.5 x[1] = 1.825 y[1] (analytic) = 7.2027950191048651496670156725373 y[1] (numeric) = 7.2027950191048653696381569692677 absolute error = 2.199711412967304e-16 relative error = 3.0539691982525353416484323837857e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.826 y[1] (analytic) = 7.2090009165555372385911057991999 y[1] (numeric) = 7.2090009165555374590860402904484 absolute error = 2.204949344912485e-16 relative error = 3.0586059988545686667600559389076e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.827 y[1] (analytic) = 7.2152130230076432998127280368143 y[1] (numeric) = 7.215213023007643520832283641697 absolute error = 2.210195556048827e-16 relative error = 3.0632436616923509384089111333108e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.828 y[1] (analytic) = 7.2214313446732903031134985383596 y[1] (numeric) = 7.2214313446732905246585043083416 absolute error = 2.215450057699820e-16 relative error = 3.0678821856196026549563877348936e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.829 y[1] (analytic) = 7.2276558877708004323339100149724 y[1] (numeric) = 7.2276558877708006544051961353052 absolute error = 2.220712861203328e-16 relative error = 3.0725215694908441129941129437708e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.83 y[1] (analytic) = 7.2338866585247173036960337699729 y[1] (numeric) = 7.2338866585247175262944315611329 absolute error = 2.225983977911600e-16 relative error = 3.0771618121613870537486483033976e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.831 y[1] (analytic) = 7.2401236631658121903476546329209 y[1] (numeric) = 7.2401236631658124134739965520502 absolute error = 2.231263419191293e-16 relative error = 3.0818029124873428986983163724465e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.832 y[1] (analytic) = 7.2463669079310902531340633383577 y[1] (numeric) = 7.2463669079310904767891829807063 absolute error = 2.236551196423486e-16 relative error = 3.0864448693256184944286976930193e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.712e-16 Order of pole = 0.5 x[1] = 1.833 y[1] (analytic) = 7.2526163990637967776037371215442 y[1] (numeric) = 7.252616399063797001788469221914 absolute error = 2.241847321003698e-16 relative error = 3.0910876815339173664501884648134e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.834 y[1] (analytic) = 7.2588721428134234172541455373957 y[1] (numeric) = 7.2588721428134236419693259715866 absolute error = 2.247151804341909e-16 relative error = 3.0957313479707450711607883588918e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.835 y[1] (analytic) = 7.2651341454357144430239247489402 y[1] (numeric) = 7.2651341454357146682703905351974 absolute error = 2.252464657862572e-16 relative error = 3.1003758674954021039248716243735e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.836 y[1] (analytic) = 7.2714024131926729990376697779945 y[1] (numeric) = 7.2714024131926732248162590784578 absolute error = 2.257785893004633e-16 relative error = 3.1050212389679878174846347431094e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.837 y[1] (analytic) = 7.2776769523525673646096004633717 y[1] (numeric) = 7.2776769523525675909211525855268 absolute error = 2.263115521221551e-16 relative error = 3.1096674612494042918291752525910e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.838 y[1] (analytic) = 7.2839577691899372225123631308089 y[1] (numeric) = 7.28395776918993744935771852894 absolute error = 2.268453553981311e-16 relative error = 3.1143145332013505455476026615848e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.839 y[1] (analytic) = 7.2902448699855999335172362439372 y[1] (numeric) = 7.2902448699856001608972365205818 absolute error = 2.273800002766446e-16 relative error = 3.1189624536863290940034401219519e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.84 y[1] (analytic) = 7.2965382610266568172120145770248 y[1] (numeric) = 7.2965382610266570451275024844299 absolute error = 2.279154879074051e-16 relative error = 3.1236112215676414811340456583656e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 memory used=68.6MB, alloc=4.3MB, time=3.43 x[1] = 1.841 y[1] (analytic) = 7.3028379486064994391028527278992 y[1] (numeric) = 7.3028379486064996675546721694795 absolute error = 2.284518194415803e-16 relative error = 3.1282608357093920219321882193755e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.842 y[1] (analytic) = 7.3091439390248159040063550734161 y[1] (numeric) = 7.3091439390248161329953511052139 absolute error = 2.289889960317978e-16 relative error = 3.1329112949764873927246704787215e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.843 y[1] (analytic) = 7.3154562385875971557382055600903 y[1] (numeric) = 7.3154562385875973852652243922372 absolute error = 2.295270188321469e-16 relative error = 3.1375625982346375620990698339690e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.844 y[1] (analytic) = 7.3217748536071432831046370190424 y[1] (numeric) = 7.3217748536071435131705260172226 absolute error = 2.300658889981802e-16 relative error = 3.1422147443503539569841138370094e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.845 y[1] (analytic) = 7.3280997904020698322030459972565 y[1] (numeric) = 7.3280997904020700628086536841721 absolute error = 2.306056076869156e-16 relative error = 3.1468677321909530681967969777105e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.846 y[1] (analytic) = 7.3344310552973141250380654062898 y[1] (numeric) = 7.3344310552973143561842414631278 absolute error = 2.311461760568380e-16 relative error = 3.1515215606245559185591542457991e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.847 y[1] (analytic) = 7.3407686546241415844594136050335 y[1] (numeric) = 7.3407686546241418161470088729344 absolute error = 2.316875952679009e-16 relative error = 3.1561762285200861429978443180655e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.848 y[1] (analytic) = 7.3471125947201520654278448549001 y[1] (numeric) = 7.3471125947201522976577113364287 absolute error = 2.322298664815286e-16 relative error = 3.1608317347472762165419281152526e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.849 y[1] (analytic) = 7.3534628819292861926155324139173 y[1] (numeric) = 7.3534628819292864253885232745347 absolute error = 2.327729908606174e-16 relative error = 3.1654880781766600225069325112188e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.85 y[1] (analytic) = 7.3598195226018317043472218706367 y[1] (numeric) = 7.3598195226018319376641914401748 absolute error = 2.333169695695381e-16 relative error = 3.1701452576795830940679463109701e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.851 y[1] (analytic) = 7.3661825230944298028884986595428 y[1] (numeric) = 7.3661825230944300367503024336797 absolute error = 2.338618037741369e-16 relative error = 3.1748032721281910533515535518608e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.852 y[1] (analytic) = 7.3725518897700815110875200467554 y[1] (numeric) = 7.3725518897700817454950146884936 absolute error = 2.344074946417382e-16 relative error = 3.1794621203954438530612756202312e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.853 y[1] (analytic) = 7.3789276289981540353765682282906 y[1] (numeric) = 7.378927628998154270330611569436 absolute error = 2.349540433411454e-16 relative error = 3.1841218013551028115391751278773e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.854 y[1] (analytic) = 7.3853097471543871351397875429606 y[1] (numeric) = 7.385309747154387370641238585604 absolute error = 2.355014510426434e-16 relative error = 3.1887823138817407050016551295026e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.855 y[1] (analytic) = 7.3916982506208994984534751681827 y[1] (numeric) = 7.3916982506208997345031940861828 absolute error = 2.360497189180001e-16 relative error = 3.1934436568507382501878976134012e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.856 y[1] (analytic) = 7.398093145786195124205301039518 y[1] (numeric) = 7.3980931457861953608041491799863 absolute error = 2.365988481404683e-16 relative error = 3.1981058291382859833456352065118e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.857 y[1] (analytic) = 7.4044944390451697105988391136926 y[1] (numeric) = 7.4044944390451699477476789984799 absolute error = 2.371488398847873e-16 relative error = 3.2027688296213820492074542721856e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.858 y[1] (analytic) = 7.4109021367991170500497984801639 y[1] (numeric) = 7.4109021367991172877494938073489 absolute error = 2.376996953271850e-16 relative error = 3.2074326571778367195486955117089e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.859 y[1] (analytic) = 7.417316245455735430480349217997 y[1] (numeric) = 7.4173162454557356687317648633765 absolute error = 2.382514156453795e-16 relative error = 3.2120973106862701186296285067014e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.86 y[1] (analytic) = 7.4237367714291340430179442929097 y[1] (numeric) = 7.4237367714291342818219463114907 absolute error = 2.388040020185810e-16 relative error = 3.2167627890261139727735027398882e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.861 y[1] (analytic) = 7.430163721139839396105045193843 y[1] (numeric) = 7.4301637211398396354625008213363 absolute error = 2.393574556274933e-16 relative error = 3.2214290910776079386620668884463e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.862 y[1] (analytic) = 7.4365971010148017360261654193154 y[1] (numeric) = 7.4365971010148019759379430736316 absolute error = 2.399117776543162e-16 relative error = 3.2260962157218080242236152021363e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.863 y[1] (analytic) = 7.4430369174874014738586523411422 y[1] (numeric) = 7.4430369174874017143256216238891 absolute error = 2.404669692827469e-16 relative error = 3.2307641618405815016904324960312e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.864 y[1] (analytic) = 7.4494831769974556188536343968346 y[1] (numeric) = 7.4494831769974558598766660948163 absolute error = 2.410230316979817e-16 relative error = 3.2354329283166058453323411305358e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.865 y[1] (analytic) = 7.4559358859912242182535669921635 y[1] (numeric) = 7.4559358859912244598335330788816 absolute error = 2.415799660867181e-16 relative error = 3.2401025140333730107532775226820e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.866 y[1] (analytic) = 7.4623950509214168035528169319699 y[1] (numeric) = 7.4623950509214170456905905691267 absolute error = 2.421377736371568e-16 relative error = 3.2447729178751923231076721577790e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.867 y[1] (analytic) = 7.4688606782471988432077316403445 y[1] (numeric) = 7.4688606782471990859041871793473 absolute error = 2.426964555390028e-16 relative error = 3.2494441387271812714135215973444e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.868 y[1] (analytic) = 7.4753327744341982018026458807814 y[1] (numeric) = 7.4753327744341984450586588642494 absolute error = 2.432560129834680e-16 relative error = 3.2541161754752763877628187751667e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.869 y[1] (analytic) = 7.4818113459545116056782851428534 y[1] (numeric) = 7.4818113459545118494947323061259 absolute error = 2.438164471632725e-16 relative error = 3.2587890270062266657253585240718e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.87 y[1] (analytic) = 7.4882963992867111150290313243491 y[1] (numeric) = 7.4882963992867113594067905969958 absolute error = 2.443777592726467e-16 relative error = 3.2634626922075976673237871413230e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.871 y[1] (analytic) = 7.4947879409158506024755228066778 y[1] (numeric) = 7.4947879409158508474154733140108 absolute error = 2.449399505073330e-16 relative error = 3.2681371699677702427311595880758e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.872 y[1] (analytic) = 7.501285977333472238119067496682 y[1] (numeric) = 7.5012859773334724836220895612697 absolute error = 2.455030220645877e-16 relative error = 3.2728124591759418938754358910462e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.873 y[1] (analytic) = 7.5077905150376129810843538898108 y[1] (numeric) = 7.5077905150376132271513290329936 absolute error = 2.460669751431828e-16 relative error = 3.2774885587221267700536791486090e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.874 y[1] (analytic) = 7.5143015605328110775569516979066 y[1] (numeric) = 7.5143015605328113241887626413144 absolute error = 2.466318109434078e-16 relative error = 3.2821654674971556345873646814310e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.875 y[1] (analytic) = 7.5208191203301125653221000796462 y[1] (numeric) = 7.5208191203301128125196307467179 absolute error = 2.471975306670717e-16 relative error = 3.2868431843926784619424104025295e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.876 y[1] (analytic) = 7.5273432009470777848112880129684 y[1] (numeric) = 7.5273432009470780325754235304731 absolute error = 2.477641355175047e-16 relative error = 3.2915217083011630068685944900801e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.877 y[1] (analytic) = 7.5338738089077878966631378566094 y[1] (numeric) = 7.5338738089077881449947645561692 absolute error = 2.483316266995598e-16 relative error = 3.2962010381158920245920215290474e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.878 y[1] (analytic) = 7.5404109507428514058051096621729 y[1] (numeric) = 7.540410950742851654705115081788 absolute error = 2.489000054196151e-16 relative error = 3.3008811727309697597371904645484e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.879 y[1] (analytic) = 7.5469546329894106920625503189842 y[1] (numeric) = 7.5469546329894109415318232045597 absolute error = 2.494692728855755e-16 relative error = 3.3055621110413204222451012020295e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.88 y[1] (analytic) = 7.5535048621911485473016181413198 y[1] (numeric) = 7.5535048621911487973410484481943 absolute error = 2.500394303068745e-16 relative error = 3.3102438519426879659943273721676e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.881 y[1] (analytic) = 7.5600616448982947191126200414837 y[1] (numeric) = 7.5600616448982949697230989359595 absolute error = 2.506104788944758e-16 relative error = 3.3149263943316331939852176183066e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.882 y[1] (analytic) = 7.566624987667632461040304972611 y[1] (numeric) = 7.5666249876676327122227248334866 absolute error = 2.511824198608756e-16 relative error = 3.3196097371055401006254294053799e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.883 y[1] (analytic) = 7.5731948970625050893676638720398 y[1] (numeric) = 7.5731948970625053411229182921441 absolute error = 2.517552544201043e-16 relative error = 3.3242938791626142292318933295132e-15 % h = 0.001 memory used=72.4MB, alloc=4.3MB, time=3.63 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.884 y[1] (analytic) = 7.5797713796528225464597928895968 y[1] (numeric) = 7.5797713796528227987887766773248 absolute error = 2.523289837877280e-16 relative error = 3.3289788194018783702958108407536e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.885 y[1] (analytic) = 7.5863544420150679706743832452064 y[1] (numeric) = 7.5863544420150682235779924260576 absolute error = 2.529036091808512e-16 relative error = 3.3336645567231840708426874002262e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.886 y[1] (analytic) = 7.5929440907323042728454076268625 y[1] (numeric) = 7.59294409073230452632453944498 absolute error = 2.534791318181175e-16 relative error = 3.3383510900271967144848237354984e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.887 y[1] (analytic) = 7.5995403323941807193465796131947 y[1] (numeric) = 7.5995403323941809734021325329072 absolute error = 2.540555529197125e-16 relative error = 3.3430384182154095990005462590269e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.888 y[1] (analytic) = 7.6061431735969395217411691846394 y[1] (numeric) = 7.6061431735969397763740428920045 absolute error = 2.546328737073651e-16 relative error = 3.3477265401901368758495601742228e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.889 y[1] (analytic) = 7.6127526209434224330247639735788 y[1] (numeric) = 7.6127526209434226882358593779284 absolute error = 2.552110954043496e-16 relative error = 3.3524154548545170058437194794276e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.89 y[1] (analytic) = 7.6193686810430773504675724967601 y[1] (numeric) = 7.6193686810430776062577917322474 absolute error = 2.557902192354873e-16 relative error = 3.3571051611125096053634919247562e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.891 y[1] (analytic) = 7.6259913605119649250628722128465 y[1] (numeric) = 7.6259913605119651814331186399953 absolute error = 2.563702464271488e-16 relative error = 3.3617956578689014588579941261087e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.892 y[1] (analytic) = 7.6326206659727651775882118541011 y[1] (numeric) = 7.6326206659727654345393900613566 absolute error = 2.569511782072555e-16 relative error = 3.3664869440293019894292020904345e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.893 y[1] (analytic) = 7.6392566040547841212859840939558 y[1] (numeric) = 7.6392566040547843788189998992374 absolute error = 2.575330158052816e-16 relative error = 3.3711790185001452688175367941740e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.894 y[1] (analytic) = 7.6458991813939603911699912315898 y[1] (numeric) = 7.6458991813939606492857516838457 absolute error = 2.581157604522559e-16 relative error = 3.3758718801886893718303516514408e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.895 y[1] (analytic) = 7.6525484046328718799646332006366 y[1] (numeric) = 7.6525484046328721386640465814007 absolute error = 2.586994133807641e-16 relative error = 3.3805655280030222385704879042223e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.896 y[1] (analytic) = 7.6592042804207423806833538417607 y[1] (numeric) = 7.6592042804207426399673296667106 absolute error = 2.592839758249499e-16 relative error = 3.3852599608520518093348295567657e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.897 y[1] (analytic) = 7.6658668154134482358529880181017 y[1] (numeric) = 7.6658668154134484957224370386195 absolute error = 2.598694490205178e-16 relative error = 3.3899551776455183577542701974131e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.898 y[1] (analytic) = 7.6725360162735249933906587984906 y[1] (numeric) = 7.6725360162735252538464930032246 absolute error = 2.604558342047340e-16 relative error = 3.3946511772939819666487534248173e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.899 y[1] (analytic) = 7.6792118896701740691398805858861 y[1] (numeric) = 7.6792118896701743301830132023154 absolute error = 2.610431326164293e-16 relative error = 3.3993479587088360840631249511280e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.9 y[1] (analytic) = 7.6858944422792694160725307276929 y[1] (numeric) = 7.6858944422792696777038762236929 absolute error = 2.616313454960000e-16 relative error = 3.4040455208022949575556022627223e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.901 y[1] (analytic) = 7.6925836807833642001633588104863 y[1] (numeric) = 7.6925836807833644623838328958972 absolute error = 2.622204740854109e-16 relative error = 3.4087438624874084035444373564820e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.902 y[1] (analytic) = 7.6992796118716974829437095142116 y[1] (numeric) = 7.6992796118716977457542291424077 absolute error = 2.628105196281961e-16 relative error = 3.4134429826780478961134429455014e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.903 y[1] (analytic) = 7.7059822422402009107411415801352 y[1] (numeric) = 7.7059822422402011741426249495968 absolute error = 2.634014833694616e-16 relative error = 3.4181428802889160573167141597332e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.904 y[1] (analytic) = 7.7126915785915054106116321327263 y[1] (numeric) = 7.7126915785915056746049986886131 absolute error = 2.639933665558868e-16 relative error = 3.4228435542355418063357346277909e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.905 y[1] (analytic) = 7.7194076276349478929710622882295 y[1] (numeric) = 7.7194076276349481575572327239563 absolute error = 2.645861704357268e-16 relative error = 3.4275450034342858679052249165030e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.712e-16 Order of pole = 0.5 x[1] = 1.906 y[1] (analytic) = 7.7261303960865779609326866819739 y[1] (numeric) = 7.7261303960865782261125829407879 absolute error = 2.651798962588140e-16 relative error = 3.4322472268023371623259081540841e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.907 y[1] (analytic) = 7.7328598906691646263572962524467 y[1] (numeric) = 7.7328598906691648921318415290069 absolute error = 2.657745452765602e-16 relative error = 3.4369502232577156506640293944849e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.908 y[1] (analytic) = 7.7395961181122030326227903328538 y[1] (numeric) = 7.7395961181122032989929090748121 absolute error = 2.663701187419583e-16 relative error = 3.4416539917192699673234765790875e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.909 y[1] (analytic) = 7.7463390851519211841198808202997 y[1] (numeric) = 7.7463390851519214510864987298839 absolute error = 2.669666179095842e-16 relative error = 3.4463585311066776172570065616130e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.712e-16 Order of pole = 0.5 x[1] = 1.91 y[1] (analytic) = 7.7530887985312866824806579188518 y[1] (numeric) = 7.753088798531286950044701954451 absolute error = 2.675640440355992e-16 relative error = 3.4510638403404515916182290783799e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.911 y[1] (analytic) = 7.7598452650000134695467536856162 y[1] (numeric) = 7.7598452650000137377091520633674 absolute error = 2.681623983777512e-16 relative error = 3.4557699183419314550398467143958e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.912 y[1] (analytic) = 7.7666084913145685770838463485505 y[1] (numeric) = 7.7666084913145688458455285439276 absolute error = 2.687616821953771e-16 relative error = 3.4604767640332899005538832013267e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.913 y[1] (analytic) = 7.7733784842381788832492551110796 y[1] (numeric) = 7.7733784842381791526111518604842 absolute error = 2.693618967494046e-16 relative error = 3.4651843763375315220263189997621e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.914 y[1] (analytic) = 7.780155250540837875819381911674 y[1] (numeric) = 7.7801552505408381457824252140282 absolute error = 2.699630433023542e-16 relative error = 3.4698927541784941339710462080639e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.915 y[1] (analytic) = 7.7869387969993124221837633663945 y[1] (numeric) = 7.7869387969993126927488864847353 absolute error = 2.705651231183408e-16 relative error = 3.4746018964808449179832784506999e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.916 y[1] (analytic) = 7.7937291303971495461125028890197 y[1] (numeric) = 7.7937291303971498172806403520957 absolute error = 2.711681374630760e-16 relative error = 3.4793118021700855411925608047132e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.917 y[1] (analytic) = 7.8005262575246832113038597567535 y[1] (numeric) = 7.8005262575246834830759473606235 absolute error = 2.717720876038700e-16 relative error = 3.4840224701725520904294367052239e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.918 y[1] (analytic) = 7.8073301851790411117187786696674 y[1] (numeric) = 7.8073301851790413840957534793006 absolute error = 2.723769748096332e-16 relative error = 3.4887338994154111344475787697099e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.919 y[1] (analytic) = 7.8141409201641514687091501389713 y[1] (numeric) = 7.8141409201641517416919504898498 absolute error = 2.729828003508785e-16 relative error = 3.4934460888266647350996156346268e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.92 y[1] (analytic) = 7.8209584692907498349465988329418 y[1] (numeric) = 7.8209584692907501085361643326649 absolute error = 2.735895654997231e-16 relative error = 3.4981590373351490095066316559076e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.921 y[1] (analytic) = 7.8277828393763859051586038098615 y[1] (numeric) = 7.8277828393763861793558753397519 absolute error = 2.741972715298904e-16 relative error = 3.5028727438705339474534299756034e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.922 y[1] (analytic) = 7.8346140372454303336787613746585 y[1] (numeric) = 7.8346140372454306084846810913704 absolute error = 2.748059197167119e-16 relative error = 3.5075872073633231999491623227802e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.923 y[1] (analytic) = 7.841452069729081558818008110076 y[1] (numeric) = 7.8414520697290818342335194472054 absolute error = 2.754155113371294e-16 relative error = 3.5123024267448576649163200330540e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.924 y[1] (analytic) = 7.8482969436653726340636284541646 y[1] (numeric) = 7.8482969436653729100896761238612 absolute error = 2.760260476696966e-16 relative error = 3.5170184009473113793359483605604e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.925 y[1] (analytic) = 7.8551486658991780661128780236733 y[1] (numeric) = 7.8551486658991783427504080182545 absolute error = 2.766375299945812e-16 relative error = 3.5217351289036937682745421898307e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=76.2MB, alloc=4.3MB, time=3.83 NO POLE x[1] = 1.926 y[1] (analytic) = 7.862007243282220659748060717533 y[1] (numeric) = 7.8620072432822209369980203111 absolute error = 2.772499595935670e-16 relative error = 3.5264526095478518523113925969658e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.927 y[1] (analytic) = 7.8688726826730783695599044760802 y[1] (numeric) = 7.8688726826730786474232422261357 absolute error = 2.778633377500555e-16 relative error = 3.5311708418144660593904934938181e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.928 y[1] (analytic) = 7.8757449909371911585260874199663 y[1] (numeric) = 7.8757449909371914370037531690347 absolute error = 2.784776657490684e-16 relative error = 3.5358898246390574561792557043528e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.929 y[1] (analytic) = 7.8826241749468678634517729478523 y[1] (numeric) = 7.8826241749468681425447178251012 absolute error = 2.790929448772489e-16 relative error = 3.5406095569579796883370060026112e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.712e-16 Order of pole = 0.5 x[1] = 1.93 y[1] (analytic) = 7.8895102415812930672790192339938 y[1] (numeric) = 7.889510241581293346988195656858 absolute error = 2.797091764228642e-16 relative error = 3.5453300377084261430853535340720e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.931 y[1] (analytic) = 7.8964031977265339782719354357008 y[1] (numeric) = 7.8964031977265342585982971115077 absolute error = 2.803263616758069e-16 relative error = 3.5500512658284231139886100159829e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.932 y[1] (analytic) = 7.9033030502755473160844637963994 y[1] (numeric) = 7.9033030502755475970289657239971 absolute error = 2.809445019275977e-16 relative error = 3.5547732402568394203684692444969e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.933 y[1] (analytic) = 7.9102098061281862047176737126536 y[1] (numeric) = 7.9102098061281864862812721840404 absolute error = 2.815635984713868e-16 relative error = 3.5594959599333795119552922900981e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.934 y[1] (analytic) = 7.9171234721912070723734607230139 y[1] (numeric) = 7.91712347219120735455711332497 absolute error = 2.821836526019561e-16 relative error = 3.5642194237985866842975578592019e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.935 y[1] (analytic) = 7.9240440553782765582115502729679 y[1] (numeric) = 7.9240440553782768410162158886889 absolute error = 2.828046656157210e-16 relative error = 3.5689436307938411994217858931607e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.936 y[1] (analytic) = 7.9309715626099784260167130135715 y[1] (numeric) = 7.9309715626099787094433518243041 absolute error = 2.834266388107326e-16 relative error = 3.5736685798613634298328081012203e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.937 y[1] (analytic) = 7.9379060008138204847831053015525 y[1] (numeric) = 7.9379060008138207688326787882319 absolute error = 2.840495734866794e-16 relative error = 3.5783942699442106571290862232658e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.938 y[1] (analytic) = 7.9448473769242415162226554858033 y[1] (numeric) = 7.944847376924241800896126430693 absolute error = 2.846734709448897e-16 relative error = 3.5831206999862826680732319013787e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.939 y[1] (analytic) = 7.9517956978826182092044234892275 y[1] (numeric) = 7.9517956978826184945027559775605 absolute error = 2.852983324883330e-16 relative error = 3.5878478689323147155078440219375e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.94 y[1] (analytic) = 7.958750970637272101131868125876 y[1] (numeric) = 7.9587509706372723870560275474986 absolute error = 2.859241594216226e-16 relative error = 3.5925757757278855637980138142026e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.941 y[1] (analytic) = 7.9657132021434765262649635312202 y[1] (numeric) = 7.9657132021434768128159165822372 absolute error = 2.865509530510170e-16 relative error = 3.5973044193194103974719587487837e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.942 y[1] (analytic) = 7.9726823993634635709941130282566 y[1] (numeric) = 7.972682399363463858172827712679 absolute error = 2.871787146844224e-16 relative error = 3.6020337986541475340035897013187e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.943 y[1] (analytic) = 7.9796585692664310360728157039367 y[1] (numeric) = 7.9796585692664313238802613353309 absolute error = 2.878074456313942e-16 relative error = 3.6067639126801925394352763956966e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.944 y[1] (analytic) = 7.9866417188285494058160479291685 y[1] (numeric) = 7.9866417188285496942531951323081 absolute error = 2.884371472031396e-16 relative error = 3.6114947603464861176845329614131e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.945 y[1] (analytic) = 7.9936318550329688242713290213531 y[1] (numeric) = 7.9936318550329691133391497338721 absolute error = 2.890678207125190e-16 relative error = 3.6162263406028069163877343524323e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.946 y[1] (analytic) = 8.0006289848698260783694472211019 y[1] (numeric) = 8.0006289848698263680689146951501 absolute error = 2.896994674740482e-16 relative error = 3.6209586523997743394727558693100e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.947 y[1] (analytic) = 8.007633115336251588061829134443 y[1] (numeric) = 8.0076331153362518783939179383436 absolute error = 2.903320888039006e-16 relative error = 3.6256916946888513148167989212699e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.948 y[1] (analytic) = 8.014644253436376403451542778469 y[1] (numeric) = 8.0146442534363766944172287983781 absolute error = 2.909656860199091e-16 relative error = 3.6304254664223432740257558330227e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.949 y[1] (analytic) = 8.0216624061813392089249313620124 y[1] (numeric) = 8.02166240618133950052519180358 absolute error = 2.916002604415676e-16 relative error = 3.6351599665533921208189059663227e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.95 y[1] (analytic) = 8.0286875805892933342908819335644 y[1] (numeric) = 8.0286875805892936265266953235984 absolute error = 2.922358133900340e-16 relative error = 3.6398951940359888838316430594808e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.951 y[1] (analytic) = 8.0357197836854137729347400362931 y[1] (numeric) = 8.0357197836854140658070862244244 absolute error = 2.928723461881313e-16 relative error = 3.6446311478249626283681749082387e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.952 y[1] (analytic) = 8.0427590225019042069938885246578 y[1] (numeric) = 8.0427590225019045005037486850078 absolute error = 2.935098601603500e-16 relative error = 3.6493678268759855596258840890386e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.953 y[1] (analytic) = 8.0498053040780040395620157187845 y[1] (numeric) = 8.0498053040780043337103723516348 absolute error = 2.941483566328503e-16 relative error = 3.6541052301455755843537797903747e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.954 y[1] (analytic) = 8.0568586354599954339291051014579 y[1] (numeric) = 8.0568586354599957287169420349215 absolute error = 2.947878369334636e-16 relative error = 3.6588433565910901404944730122892e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.955 y[1] (analytic) = 8.0639190237012103598641857983045 y[1] (numeric) = 8.0639190237012106552924881899995 absolute error = 2.954283023916950e-16 relative error = 3.6635822051707324298016085551627e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.956 y[1] (analytic) = 8.0709864758620376469478901245053 y[1] (numeric) = 8.0709864758620379430176444632304 absolute error = 2.960697543387251e-16 relative error = 3.6683217748435489143805260919706e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.957 y[1] (analytic) = 8.0780609990099300449618715311838 y[1] (numeric) = 8.0780609990099303416740656385958 absolute error = 2.967121941074120e-16 relative error = 3.6730620645694292718414122109175e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.958 y[1] (analytic) = 8.0851426002194112913421433414748 y[1] (numeric) = 8.0851426002194115886977663737682 absolute error = 2.973556230322934e-16 relative error = 3.6778030733091075571608527023428e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.959 y[1] (analytic) = 8.0922312865720831857034057302022 y[1] (numeric) = 8.0922312865720834837034481797907 absolute error = 2.980000424495885e-16 relative error = 3.6825448000241608565544732832747e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.96 y[1] (analytic) = 8.099327065156632671441435472082 y[1] (numeric) = 8.0993270651566329700868891692822 absolute error = 2.986454536972002e-16 relative error = 3.6872872436770116220329401431856e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.961 y[1] (analytic) = 8.1064299430688389244206200614307 y[1] (numeric) = 8.106429943068839223712478176148 absolute error = 2.992918581147173e-16 relative error = 3.6920304032309299632854860290004e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.962 y[1] (analytic) = 8.1135399274115804487537248915043 y[1] (numeric) = 8.1135399274115807486929819349201 absolute error = 2.999392570434158e-16 relative error = 3.6967742776500248045015352535424e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.963 y[1] (analytic) = 8.1206570252948421796809892738246 y[1] (numeric) = 8.1206570252948424802686411000866 absolute error = 3.005876518262620e-16 relative error = 3.7015188658992572229028425888213e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.964 y[1] (analytic) = 8.1277812438357225935556541771839 y[1] (numeric) = 8.1277812438357228947926979850972 absolute error = 3.012370438079133e-16 relative error = 3.7062641669444253887381376660803e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.965 y[1] (analytic) = 8.1349125901584408249430316724443 y[1] (numeric) = 8.1349125901584411268304660071659 absolute error = 3.018874343347216e-16 relative error = 3.7110101797521815149273873277977e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.966 y[1] (analytic) = 8.1420510713943437908402331827983 y[1] (numeric) = 8.1420510713943440933790579375327 absolute error = 3.025388247547344e-16 relative error = 3.7157569032900204387474846903537e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.967 y[1] (analytic) = 8.1491966946819133220236807598096 y[1] (numeric) = 8.1491966946819136252148971775064 absolute error = 3.031912164176968e-16 relative error = 3.7205043365262792770032818388559e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE memory used=80.1MB, alloc=4.3MB, time=4.02 x[1] = 1.968 y[1] (analytic) = 8.1563494671667733015315327333406 y[1] (numeric) = 8.1563494671667736053761434083947 absolute error = 3.038446106750541e-16 relative error = 3.7252524784301444087613515551197e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.969 y[1] (analytic) = 8.1635093960016968102881622183876 y[1] (numeric) = 8.1635093960016971147871710983413 absolute error = 3.044990088799537e-16 relative error = 3.7300013279716498161021825040132e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.97 y[1] (analytic) = 8.1706764883466132798778341038975 y[1] (numeric) = 8.1706764883466135850322464911444 absolute error = 3.051544123872469e-16 relative error = 3.7347508841216741791194445076360e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.971 y[1] (analytic) = 8.1778507513686156524747332978382 y[1] (numeric) = 8.1778507513686159582855558513293 absolute error = 3.058108225534911e-16 relative error = 3.7395011458519428468830677099244e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.972 y[1] (analytic) = 8.1850321922419675479365041591486 y[1] (numeric) = 8.1850321922419678544047448961005 absolute error = 3.064682407369519e-16 relative error = 3.7442521121350285457216452856318e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.973 y[1] (analytic) = 8.1922208181481104380684682107047 y[1] (numeric) = 8.19222081814811074519513650831 absolute error = 3.071266682976053e-16 relative error = 3.7490037819443532738445622504348e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.974 y[1] (analytic) = 8.1994166362756708280656943981172 y[1] (numeric) = 8.1994166362756711358518009952564 absolute error = 3.077861065971392e-16 relative error = 3.7537561542541816181714092958093e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.975 y[1] (analytic) = 8.2066196538204674451401033370288 y[1] (numeric) = 8.2066196538204677535866603359849 absolute error = 3.084465569989561e-16 relative error = 3.7585092280396286980371921713417e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.976 y[1] (analytic) = 8.2138298779855184343397941766155 y[1] (numeric) = 8.2138298779855187434478150447905 absolute error = 3.091080208681750e-16 relative error = 3.7632630022766582968014196707153e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.977 y[1] (analytic) = 8.2210473159810485615677898992182 y[1] (numeric) = 8.2210473159810488713382894708513 absolute error = 3.097704995716331e-16 relative error = 3.7680174759420785398149395599541e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.978 y[1] (analytic) = 8.228271975024496423807404075449 y[1] (numeric) = 8.2282719750244967342413985533375 absolute error = 3.104339944778885e-16 relative error = 3.7727726480135497176836182501898e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.979 y[1] (analytic) = 8.2355038623405216665614393007418 y[1] (numeric) = 8.2355038623405219776599462579634 absolute error = 3.110985069572216e-16 relative error = 3.7775285174695762523519410160474e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.98 y[1] (analytic) = 8.2427429851610122085124347531447 y[1] (numeric) = 8.2427429851610125202764731347826 absolute error = 3.117640383816379e-16 relative error = 3.7822850832895156593938027363414e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.981 y[1] (analytic) = 8.2499893507250914734111875332068 y[1] (numeric) = 8.249989350725091785841777658076 absolute error = 3.124305901248692e-16 relative error = 3.7870423444535680384350562066047e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.982 y[1] (analytic) = 8.2572429662791256292007796750797 y[1] (numeric) = 8.2572429662791259422989432374563 absolute error = 3.130981635623766e-16 relative error = 3.7918002999427873872101784505419e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.983 y[1] (analytic) = 8.2645038390767308343833499534677 y[1] (numeric) = 8.2645038390767311481501100248197 absolute error = 3.137667600713520e-16 relative error = 3.7965589487390746753911305014075e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.984 y[1] (analytic) = 8.2717719763787804916368568537996 y[1] (numeric) = 8.2717719763787808060732378845199 absolute error = 3.144363810307203e-16 relative error = 3.8013182898251793866073856871304e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.985 y[1] (analytic) = 8.2790473854534125086890863229911 y[1] (numeric) = 8.2790473854534128237961141441327 absolute error = 3.151070278211416e-16 relative error = 3.8060783221847010215742455440153e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 1.986 y[1] (analytic) = 8.2863300735760365664561651754097 y[1] (numeric) = 8.286330073576036882234867000423 absolute error = 3.157787018250133e-16 relative error = 3.8108390448020893556933635603428e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.987 y[1] (analytic) = 8.2936200480293413944528482931621 y[1] (numeric) = 8.293620048029341710904252719634 absolute error = 3.164514044264719e-16 relative error = 3.8156004566626410472290535499299e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 1.988 y[1] (analytic) = 8.3009173161033020534818550315964 y[1] (numeric) = 8.3009173161033023706069920429919 absolute error = 3.171251370113955e-16 relative error = 3.8203625567525046653340591273377e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.989 y[1] (analytic) = 8.3082218850951872256095375199637 y[1] (numeric) = 8.3082218850951875434094384873694 absolute error = 3.177999009674057e-16 relative error = 3.8251253440586784389774788431109e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.99 y[1] (analytic) = 8.315533762309566511435170833514 y[1] (numeric) = 8.3155337623095668299108685173836 absolute error = 3.184756976838696e-16 relative error = 3.8298888175690091894260521931478e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.991 y[1] (analytic) = 8.3228529550583177346611623069249 y[1] (numeric) = 8.322852955058318053813690858827 absolute error = 3.191525285519021e-16 relative error = 3.8346529762721948420164202962971e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.992 y[1] (analytic) = 8.330179470660634253971484559881 y[1] (numeric) = 8.330179470660634573801879524249 absolute error = 3.198303949643680e-16 relative error = 3.8394178191577844928899080276551e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.993 y[1] (analytic) = 8.3375133164430322822256441138471 y[1] (numeric) = 8.3375133164430326027349424297311 absolute error = 3.205092983158840e-16 relative error = 3.8441833452161772450565362152411e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.994 y[1] (analytic) = 8.3448544997393582129755047946128 y[1] (numeric) = 8.3448544997393585341647447974334 absolute error = 3.211892400028206e-16 relative error = 3.8489495534386198213252699223072e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.995 y[1] (analytic) = 8.3522030278907959543122924380423 y[1] (numeric) = 8.3522030278907962761825138613473 absolute error = 3.218702214233050e-16 relative error = 3.8537164428172161317926335658273e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 1.996 y[1] (analytic) = 8.3595589082458742700511147466471 y[1] (numeric) = 8.3595589082458745926033587238692 absolute error = 3.225522439772221e-16 relative error = 3.8584840123449140314331041545877e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.997 y[1] (analytic) = 8.3669221481604741282603374821105 y[1] (numeric) = 8.3669221481604744514956465483279 absolute error = 3.232353090662174e-16 relative error = 3.8632522610155148250297496968645e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.712e-16 Order of pole = 0.5 x[1] = 1.998 y[1] (analytic) = 8.3742927549978360571431655237545 y[1] (numeric) = 8.3742927549978363810625836174537 absolute error = 3.239194180936992e-16 relative error = 3.8680211878236743321041772495398e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.999 y[1] (analytic) = 8.381670736128567508278784675143 y[1] (numeric) = 8.381670736128567832883357139983 absolute error = 3.246045724648400e-16 relative error = 3.8727907917648943705556898753026e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.712e-16 Order of pole = 0.5 x[1] = 2 y[1] (analytic) = 8.389056098930650227230427460575 y[1] (numeric) = 8.3890560989306505525212010471543 absolute error = 3.252907735865793e-16 relative error = 3.8775610718355309426369749936272e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 2.001 y[1] (analytic) = 8.3964488507894476315277335201503 y[1] (numeric) = 8.3964488507894479575057563877758 absolute error = 3.259780228676255e-16 relative error = 3.8823320270327916279100179289500e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.002 y[1] (analytic) = 8.4038489990977121960307825863808 y[1] (numeric) = 8.4038489990977125226971043048389 absolute error = 3.266663217184581e-16 relative error = 3.8871036563547365286897742645539e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 2.003 y[1] (analytic) = 8.4112565512555928456831854069972 y[1] (numeric) = 8.4112565512555931730388569583268 absolute error = 3.273556715513296e-16 relative error = 3.8918759588002756127851059656079e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 2.004 y[1] (analytic) = 8.4186715146706423556616253676573 y[1] (numeric) = 8.4186715146706426837076991479251 absolute error = 3.280460737802678e-16 relative error = 3.8966489333691707905422546022695e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 2.005 y[1] (analytic) = 8.4260938967578247589292509647144 y[1] (numeric) = 8.4260938967578250876667807857925 absolute error = 3.287375298210781e-16 relative error = 3.9014225790620379498487818095301e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.006 y[1] (analytic) = 8.4335237049395227612003266820562 y[1] (numeric) = 8.4335237049395230906303677734015 absolute error = 3.294300410913453e-16 relative error = 3.9061968948803430205583587575683e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 2.007 y[1] (analytic) = 8.4409609466455451633235572372817 y[1] (numeric) = 8.4409609466455454934471662477176 absolute error = 3.301236090104359e-16 relative error = 3.9109718798264039520748215522582e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 2.008 y[1] (analytic) = 8.4484056293131342910915075811601 y[1] (numeric) = 8.4484056293131346219097425806605 absolute error = 3.308182349995004e-16 relative error = 3.9157475329033926493766574789153e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 2.009 y[1] (analytic) = 8.45585776038697343248354846041 y[1] (numeric) = 8.4558577603869737639974689418855 absolute error = 3.315139204814755e-16 relative error = 3.9205238531153356850489797483242e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 2.01 y[1] (analytic) = 8.4633173473191942823497647873654 y[1] (numeric) = 8.463317347319194614560431668451 absolute error = 3.322106668810856e-16 relative error = 3.9253008394671067053796213508686e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=83.9MB, alloc=4.3MB, time=4.22 Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.011 y[1] (analytic) = 8.4707843975693843945432715010551 y[1] (numeric) = 8.470784397569384727451747125901 absolute error = 3.329084756248459e-16 relative error = 3.9300784909644377338665345686169e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 2.012 y[1] (analytic) = 8.4782589186045946415083890526353 y[1] (numeric) = 8.4782589186045949751157371936989 absolute error = 3.336073481410636e-16 relative error = 3.9348568066139079735543433611085e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 2.013 y[1] (analytic) = 8.4857409178993466813321381039696 y[1] (numeric) = 8.4857409178993470156394239638104 absolute error = 3.343072858598408e-16 relative error = 3.9396357854229526709367641390214e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 2.014 y[1] (analytic) = 8.4932304029356404322665204914752 y[1] (numeric) = 8.4932304029356407672748107045519 absolute error = 3.350082902130767e-16 relative error = 3.9444154263998636599573199500764e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.015 y[1] (analytic) = 8.5007273812029615547290609781395 y[1] (numeric) = 8.5007273812029618904394236126082 absolute error = 3.357103626344687e-16 relative error = 3.9491957285537769317864634107164e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 2.016 y[1] (analytic) = 8.5082318601982889407890917948697 y[1] (numeric) = 8.5082318601982892772025963543858 absolute error = 3.364135045595161e-16 relative error = 3.9539766908946907977255962493481e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.017 y[1] (analytic) = 8.5157438474261022111472694580876 y[1] (numeric) = 8.5157438474261025482649868836085 absolute error = 3.371177174255209e-16 relative error = 3.9587583124334498702629276054775e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 2.018 y[1] (analytic) = 8.5232633503983892196158208437081 y[1] (numeric) = 8.5232633503983895574388235152992 absolute error = 3.378230026715911e-16 relative error = 3.9635405921817584290135867785747e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 2.019 y[1] (analytic) = 8.5307903766346535651070229983754 y[1] (numeric) = 8.5307903766346539036363847370173 absolute error = 3.385293617386419e-16 relative error = 3.9683235291521690679890048901730e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 2.02 y[1] (analytic) = 8.5383249336619221111374286770603 y[1] (numeric) = 8.5383249336619224503742247464589 absolute error = 3.392367960693986e-16 relative error = 3.9731071223580912818129661200102e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 2.021 y[1] (analytic) = 8.5458670290147525128553571118729 y[1] (numeric) = 8.5458670290147528528006642202712 absolute error = 3.399453071083983e-16 relative error = 3.9778913708137859333424055665785e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.022 y[1] (analytic) = 8.5534166702352407515991770402068 y[1] (numeric) = 8.5534166702352410922540733421993 absolute error = 3.406548963019925e-16 relative error = 3.9826762735343702413175628843114e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.023 y[1] (analytic) = 8.560973864873028676993916551128 y[1] (numeric) = 8.5609738648730290183594816494768 absolute error = 3.413655650983488e-16 relative error = 3.9874618295358121974517229846442e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 2.024 y[1] (analytic) = 8.568538620485311556593741847244 y[1] (numeric) = 8.5685386204853118986710567946977 absolute error = 3.420773149474537e-16 relative error = 3.9922480378349378193559469223802e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 2.025 y[1] (analytic) = 8.5761109446368456330778545651639 y[1] (numeric) = 8.5761109446368459758680018662779 absolute error = 3.427901473011140e-16 relative error = 3.9970348974494220092845320986472e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.026 y[1] (analytic) = 8.5836908448999556890073648510743 y[1] (numeric) = 8.583690844899956032511428464034 absolute error = 3.435040636129597e-16 relative error = 4.0018224073977969048654618767562e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 2.027 y[1] (analytic) = 8.5912783288545426191507049489356 y[1] (numeric) = 8.5912783288545429633697702873816 absolute error = 3.442190653384460e-16 relative error = 4.0066105666994496784990856421265e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.028 y[1] (analytic) = 8.5988734040880910103851556273436 y[1] (numeric) = 8.5988734040880913553203095621987 absolute error = 3.449351539348551e-16 relative error = 4.0113993743746179910678167184050e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 2.029 y[1] (analytic) = 8.6064760781956767291820653472129 y[1] (numeric) = 8.6064760781956770748343962085122 absolute error = 3.456523308612993e-16 relative error = 4.0161888294444005431971842634843e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 2.03 y[1] (analytic) = 8.6140863587799745166833496561362 y[1] (numeric) = 8.6140863587799748630539472348582 absolute error = 3.463705975787220e-16 relative error = 4.0209789309307431605102746990685e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 2.031 y[1] (analytic) = 8.6217042534512655913768658865487 y[1] (numeric) = 8.6217042534512659384668214364495 absolute error = 3.470899555499008e-16 relative error = 4.0257696778564492782277595186508e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 2.032 y[1] (analytic) = 8.6293297698274452593782658337085 y[1] (numeric) = 8.629329769827445607188672073158 absolute error = 3.478104062394495e-16 relative error = 4.0305610692451775915690450130568e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.712e-16 Order of pole = 0.5 x[1] = 2.033 y[1] (analytic) = 8.6369629155340305323269366959782 y[1] (numeric) = 8.6369629155340308808588878097983 absolute error = 3.485319511138201e-16 relative error = 4.0353531041214396870753347631270e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 2.034 y[1] (analytic) = 8.6446036982041677529036481739842 y[1] (numeric) = 8.6446036982041681021582398152895 absolute error = 3.492545916413053e-16 relative error = 4.0401457815106034389300036335359e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.035 y[1] (analytic) = 8.6522521254786402279775312469364 y[1] (numeric) = 8.6522521254786405779558605389769 absolute error = 3.499783292920405e-16 relative error = 4.0449391004388905769214046397198e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.036 y[1] (analytic) = 8.6599082050058758693900217737226 y[1] (numeric) = 8.6599082050058762200931873117286 absolute error = 3.507031655380060e-16 relative error = 4.0497330599333765452396476366061e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.037 y[1] (analytic) = 8.667571944441954842383409703358 y[1] (numeric) = 8.6675719444419551938125115563875 absolute error = 3.514291018530295e-16 relative error = 4.0545276590219937916580804803390e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 2.038 y[1] (analytic) = 8.675243351450617221681642323977 y[1] (numeric) = 8.6752433514506175738377820367651 absolute error = 3.521561397127881e-16 relative error = 4.0593228967335292441833036922449e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.712e-16 Order of pole = 0.5 x[1] = 2.039 y[1] (analytic) = 8.6829224337032706552310376318083 y[1] (numeric) = 8.6829224337032710081153182266187 absolute error = 3.528842805948104e-16 relative error = 4.0641187720976229211709398933648e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.04 y[1] (analytic) = 8.6906091988789980356085715614843 y[1] (numeric) = 8.6906091988789983892220975399633 absolute error = 3.536135259784790e-16 relative error = 4.0689152841447711198967036329122e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 2.041 y[1] (analytic) = 8.6983036546645651791054104866132 y[1] (numeric) = 8.6983036546645655334492878316459 absolute error = 3.543438773450327e-16 relative error = 4.0737124319063261076705376500132e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 2.042 y[1] (analytic) = 8.7060058087544285124933680747845 y[1] (numeric) = 8.706005808754428867568704252353 absolute error = 3.550753361775685e-16 relative error = 4.0785102144144934856848266871598e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 2.043 y[1] (analytic) = 8.7137156688507427674819732641065 y[1] (numeric) = 8.7137156688507431232898772251506 absolute error = 3.558079039610441e-16 relative error = 4.0833086307023352732873758197486e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.874e-16 Order of pole = 0.5 x[1] = 2.044 y[1] (analytic) = 8.7214332426633686828738438189841 y[1] (numeric) = 8.721433242663369039415426001264 absolute error = 3.565415821822799e-16 relative error = 4.0881076798037672112473333427256e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 2.045 y[1] (analytic) = 8.7291585379098807144260676211528 y[1] (numeric) = 8.7291585379098810717024399511143 absolute error = 3.572763723299615e-16 relative error = 4.0929073607535617755865072943847e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.046 y[1] (analytic) = 8.7368915623155747524253015579929 y[1] (numeric) = 8.7368915623155751104375774526347 absolute error = 3.580122758946418e-16 relative error = 4.0977076725873465654571196624767e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 2.047 y[1] (analytic) = 8.7446323236134758469843055838652 y[1] (numeric) = 8.7446323236134762057335999526084 absolute error = 3.587492943687432e-16 relative error = 4.1025086143416038114260661444893e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 2.048 y[1] (analytic) = 8.7523808295443459410676372516468 y[1] (numeric) = 8.7523808295443463005550664982067 absolute error = 3.594874292465599e-16 relative error = 4.1073101850536709972107028562823e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.049 y[1] (analytic) = 8.7601370878566916112542397408051 y[1] (numeric) = 8.7601370878566919714809217650653 absolute error = 3.602266820242602e-16 relative error = 4.1121123837617414463980569318585e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 2.05 y[1] (analytic) = 8.7679011063067718162446641452442 y[1] (numeric) = 8.7679011063067721772117183451329 absolute error = 3.609670541998887e-16 relative error = 4.1169152095048637337875228255086e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 2.051 y[1] (analytic) = 8.7756728926586056531206745287905 y[1] (numeric) = 8.775672892658606014829221802159 absolute error = 3.617085472733685e-16 relative error = 4.1217186613229410681046761259226e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.052 y[1] (analytic) = 8.78345245468398012136499200857 y[1] (numeric) = 8.7834524546839804838161547550736 absolute error = 3.624511627465036e-16 relative error = 4.1265227382567329232419114388765e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 memory used=87.7MB, alloc=4.3MB, time=4.41 x[1] = 2.053 y[1] (analytic) = 8.7912398001624578946489418866673 y[1] (numeric) = 8.7912398001624582578438440096486 absolute error = 3.631949021229813e-16 relative error = 4.1313274393478566290613689158721e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 2.054 y[1] (analytic) = 8.7990349368813851003957756183625 y[1] (numeric) = 8.7990349368813854643355425267362 absolute error = 3.639397669083737e-16 relative error = 4.1361327636387786935444414713657e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 2.055 y[1] (analytic) = 8.8068378726358991071274471809142 y[1] (numeric) = 8.8068378726358994718132057910554 absolute error = 3.646857586101412e-16 relative error = 4.1409387101728288488619534058336e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.056 y[1] (analytic) = 8.8146486152289363196026311903167 y[1] (numeric) = 8.8146486152289366850355099279502 absolute error = 3.654328787376335e-16 relative error = 4.1457452779941856291506889554022e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.057 y[1] (analytic) = 8.8224671724712399817537779046958 y[1] (numeric) = 8.8224671724712403479349067067886 absolute error = 3.661811288020928e-16 relative error = 4.1505524661478869293756292912560e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.058 y[1] (analytic) = 8.8302935521813679874310080520517 y[1] (numeric) = 8.8302935521813683543615183687075 absolute error = 3.669305103166558e-16 relative error = 4.1553602736798268867009832537806e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 2.059 y[1] (analytic) = 8.8381277621857006989606582268924 y[1] (numeric) = 8.838127762185701066641683023248 absolute error = 3.676810247963556e-16 relative error = 4.1601686996367516150739259467227e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.06 y[1] (analytic) = 8.8459698103184487735262954149556 y[1] (numeric) = 8.8459698103184491419589691730801 absolute error = 3.684326737581245e-16 relative error = 4.1649777430662651047365749409149e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.061 y[1] (analytic) = 8.8538197044216609973800270276853 y[1] (numeric) = 8.8538197044216613665654857484816 absolute error = 3.691854587207963e-16 relative error = 4.1697874030168294112329770330539e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.062 y[1] (analytic) = 8.8616774523452321278919406584271 y[1] (numeric) = 8.8616774523452324978313218635349 absolute error = 3.699393812051078e-16 relative error = 4.1745976785377557838409186684168e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.063 y[1] (analytic) = 8.8695430619469107434455156104334 y[1] (numeric) = 8.8695430619469111141399583441355 absolute error = 3.706944427337021e-16 relative error = 4.1794085686792161034268871442509e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.064 y[1] (analytic) = 8.8774165410923071011868560927463 y[1] (numeric) = 8.8774165410923074726375009238768 absolute error = 3.714506448311305e-16 relative error = 4.1842200724922384572356842626920e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 2.065 y[1] (analytic) = 8.8852978976549010026356038338452 y[1] (numeric) = 8.8852978976549013748435928576997 absolute error = 3.722079890238545e-16 relative error = 4.1890321890287038306749844624914e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 2.066 y[1] (analytic) = 8.8931871395160496671653957246274 y[1] (numeric) = 8.8931871395160500401318725648757 absolute error = 3.729664768402483e-16 relative error = 4.1938449173413484070238579301019e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 2.067 y[1] (analytic) = 8.9010842745649956133617399718343 y[1] (numeric) = 8.9010842745649959870878497824358 absolute error = 3.737261098106015e-16 relative error = 4.1986582564837680698810581461714e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 2.068 y[1] (analytic) = 8.9089893106988745482651921204591 y[1] (numeric) = 8.9089893106988749227520815875797 absolute error = 3.744868894671206e-16 relative error = 4.2034722055104093801217752081580e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 2.069 y[1] (analytic) = 8.916902255822723264507720188966 y[1] (numeric) = 8.916902255822723639756537532898 absolute error = 3.752488173439320e-16 relative error = 4.2082867634765773908293135271889e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.07 y[1] (analytic) = 8.9248231178494875453501560543463 y[1] (numeric) = 8.9248231178494879213620510314303 absolute error = 3.760118949770840e-16 relative error = 4.2131019294384321839609339416365e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.071 y[1] (analytic) = 8.9327519047000300776286381251207 y[1] (numeric) = 8.93275190470003045440476202967 absolute error = 3.767761239045493e-16 relative error = 4.2179177024529909907728056108190e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.072 y[1] (analytic) = 8.9406886243031383726179582493907 y[1] (numeric) = 8.9406886243031387501594639156176 absolute error = 3.775415056662269e-16 relative error = 4.2227340815781235580262859932824e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.073 y[1] (analytic) = 8.9486332845955326948197337219447 y[1] (numeric) = 8.9486332845955330731277755258897 absolute error = 3.783080418039450e-16 relative error = 4.2275510658725586816943115106513e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 2.074 y[1] (analytic) = 8.956585893521873998683333179253 y[1] (numeric) = 8.9565858935218743777590670407156 absolute error = 3.790757338614626e-16 relative error = 4.2323686543958761593744731484389e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.075 y[1] (analytic) = 8.9645464590347718732674931039377 y[1] (numeric) = 8.9645464590347722531120764884104 absolute error = 3.798445833844727e-16 relative error = 4.2371868462085166015394230294720e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.076 y[1] (analytic) = 8.9725149890947924948505696009972 y[1] (numeric) = 8.9725149890947928754651615216012 absolute error = 3.806145919206040e-16 relative error = 4.2420056403717744407525081002232e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.077 y[1] (analytic) = 8.9804914916704665874973780566995 y[1] (numeric) = 8.9804914916704669688831390761226 absolute error = 3.813857610194231e-16 relative error = 4.2468250359477965135850103081896e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.078 y[1] (analytic) = 8.988475974738297391590581247646 y[1] (numeric) = 8.9884759747382977737486734800834 absolute error = 3.821580922324374e-16 relative error = 4.2516450319995884057425251053378e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 2.079 y[1] (analytic) = 8.9964684462827686403345944320602 y[1] (numeric) = 8.9964684462827690232661815451573 absolute error = 3.829315871130971e-16 relative error = 4.2564656275910107273503745384174e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.08 y[1] (analytic) = 9.0044689142963525442399839278696 y[1] (numeric) = 9.0044689142963529279462311446672 absolute error = 3.837062472167976e-16 relative error = 4.2612868217867798181425509029254e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 2.081 y[1] (analytic) = 9.012477386779517783596343662645 y[1] (numeric) = 9.0124773867795181680784177635267 absolute error = 3.844820741008817e-16 relative error = 4.2661086136524661975894536997694e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.082 y[1] (analytic) = 9.0204938717407375089416421689402 y[1] (numeric) = 9.0204938717407378942007114935823 absolute error = 3.852590693246421e-16 relative error = 4.2709310022544963168711600673387e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 2.083 y[1] (analytic) = 9.0285183771964973495360404950448 y[1] (numeric) = 9.0285183771964977355732749443686 absolute error = 3.860372344493238e-16 relative error = 4.2757539866601531617343377154745e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 2.084 y[1] (analytic) = 9.0365509111713034298481895056373 y[1] (numeric) = 9.0365509111713038166647605437635 absolute error = 3.868165710381262e-16 relative error = 4.2805775659375735000740570817997e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 2.085 y[1] (analytic) = 9.0445914816976903940620230593014 y[1] (numeric) = 9.0445914816976907816591037155071 absolute error = 3.875970806562057e-16 relative error = 4.2854017391557506401315755990553e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.086 y[1] (analytic) = 9.0526400968162294386120715703696 y[1] (numeric) = 9.0526400968162298269908364410474 absolute error = 3.883787648706778e-16 relative error = 4.2902265053845316185197156554152e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 2.087 y[1] (analytic) = 9.0606967645755363527553284910755 y[1] (numeric) = 9.0606967645755367419169537416952 absolute error = 3.891616252506197e-16 relative error = 4.2950518636946198893313081836597e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.088 y[1] (analytic) = 9.0687614930322795671877102865517 y[1] (numeric) = 9.0687614930322799571333736536244 absolute error = 3.899456633670727e-16 relative error = 4.2998778131575757612915794052200e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.089 y[1] (analytic) = 9.0768342902511882107131585198053 y[1] (numeric) = 9.0768342902511886014440393128494 absolute error = 3.907308807930441e-16 relative error = 4.3047043528458112917647542148915e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.09 y[1] (analytic) = 9.0849151643050601749734407164419 y[1] (numeric) = 9.084915164305060566490719819952 absolute error = 3.915172791035101e-16 relative error = 4.3095314818325961829640478694897e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.091 y[1] (analytic) = 9.0930041232747701872467147396134 y[1] (numeric) = 9.0930041232747705795515746150313 absolute error = 3.923048598754179e-16 relative error = 4.3143591991920548164683167869644e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 2.092 y[1] (analytic) = 9.1011011752492778913229294744258 y[1] (numeric) = 9.1011011752492782844165541621137 absolute error = 3.930936246876879e-16 relative error = 4.3191875039991643699944629271163e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.093 y[1] (analytic) = 9.1092063283256359364641426978806 y[1] (numeric) = 9.1092063283256363303477178190972 absolute error = 3.938835751212166e-16 relative error = 4.3240163953297605964404593673305e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.094 y[1] (analytic) = 9.1173195906089980744578450953426 y[1] (numeric) = 9.1173195906089984691325578542211 absolute error = 3.946747127588785e-16 relative error = 4.3288458722605325716314552034425e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 memory used=91.5MB, alloc=4.3MB, time=4.60 x[1] = 2.095 y[1] (analytic) = 9.1254409702126272647713874775325 y[1] (numeric) = 9.125440970212627660238426663061 absolute error = 3.954670391855285e-16 relative error = 4.3336759338690229169030328378482e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.096 y[1] (analytic) = 9.1335704752579037878156163531466 y[1] (numeric) = 9.1335704752579041840761723411513 absolute error = 3.962605559880047e-16 relative error = 4.3385065792336323676040473909380e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.097 y[1] (analytic) = 9.1417081138743333663258311214164 y[1] (numeric) = 9.1417081138743337633810958765465 absolute error = 3.970552647551301e-16 relative error = 4.3433378074336122520800413735124e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.939e-16 Order of pole = 0.5 x[1] = 2.098 y[1] (analytic) = 9.1498538941995552948681842662402 y[1] (numeric) = 9.149853894199555692719351343956 absolute error = 3.978511670777158e-16 relative error = 4.3481696175490733721035212253524e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.602e-16 Order of pole = 0.5 x[1] = 2.099 y[1] (analytic) = 9.1580078243793505774796540589666 y[1] (numeric) = 9.1580078243793509761279186075291 absolute error = 3.986482645485625e-16 relative error = 4.3530020086609762405291830840030e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 2.1 y[1] (analytic) = 9.1661699125676500734497274104786 y[1] (numeric) = 9.1661699125676504728962861729424 absolute error = 3.994465587624638e-16 relative error = 4.3578349798511409760571879365164e-15 % h = 0.001 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 = 13 Seconds Optimized Time Remaining = 13 Seconds Time to Timeout = 14 Minutes 55 Seconds Percent Done = 25.67 % > quit memory used=92.1MB, alloc=4.3MB, time=4.63