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._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008
\ MAPLE / All rights reserved. Maple is a trademark of
<____ ____> Waterloo Maple Inc.
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> #BEGIN OUTFILE1
> # Begin Function number 3
> check_sign := proc( x0 ,xf)
> local ret;
> if (xf > x0) then # if number 1
> ret := 1.0;
> else
> ret := -1.0;
> fi;# end if 1;
> ret;;
> end;
check_sign := proc(x0, xf)
local ret;
if x0 < xf then ret := 1.0 else ret := -1.0 end if; ret
end proc
> # End Function number 3
> # Begin Function number 4
> est_size_answer := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local min_size;
> min_size := glob_large_float;
> if (omniabs(array_y[1]) < min_size) then # if number 1
> min_size := omniabs(array_y[1]);
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 1;
> if (min_size < 1.0) then # if number 1
> min_size := 1.0;
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 1;
> min_size;
> end;
est_size_answer := proc()
local min_size;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_a1, array_tmp4_a2,
array_tmp4, array_tmp5, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
min_size := glob_large_float;
if omniabs(array_y[1]) < min_size then
min_size := omniabs(array_y[1]);
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
if min_size < 1.0 then
min_size := 1.0;
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
min_size
end proc
> # End Function number 4
> # Begin Function number 5
> test_suggested_h := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local max_value3,hn_div_ho,hn_div_ho_2,hn_div_ho_3,value3,no_terms;
> max_value3 := 0.0;
> no_terms := glob_max_terms;
> hn_div_ho := 0.5;
> hn_div_ho_2 := 0.25;
> hn_div_ho_3 := 0.125;
> omniout_float(ALWAYS,"hn_div_ho",32,hn_div_ho,32,"");
> omniout_float(ALWAYS,"hn_div_ho_2",32,hn_div_ho_2,32,"");
> omniout_float(ALWAYS,"hn_div_ho_3",32,hn_div_ho_3,32,"");
> value3 := omniabs(array_y[no_terms-3] + array_y[no_terms - 2] * hn_div_ho + array_y[no_terms - 1] * hn_div_ho_2 + array_y[no_terms] * hn_div_ho_3);
> if (value3 > max_value3) then # if number 1
> max_value3 := value3;
> omniout_float(ALWAYS,"value3",32,value3,32,"");
> fi;# end if 1;
> omniout_float(ALWAYS,"max_value3",32,max_value3,32,"");
> max_value3;
> end;
test_suggested_h := proc()
local max_value3, hn_div_ho, hn_div_ho_2, hn_div_ho_3, value3, no_terms;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_a1, array_tmp4_a2,
array_tmp4, array_tmp5, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
max_value3 := 0.;
no_terms := glob_max_terms;
hn_div_ho := 0.5;
hn_div_ho_2 := 0.25;
hn_div_ho_3 := 0.125;
omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, "");
omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, "");
omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, "");
value3 := omniabs(array_y[no_terms - 3]
+ array_y[no_terms - 2]*hn_div_ho
+ array_y[no_terms - 1]*hn_div_ho_2
+ array_y[no_terms]*hn_div_ho_3);
if max_value3 < value3 then
max_value3 := value3;
omniout_float(ALWAYS, "value3", 32, value3, 32, "")
end if;
omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, "");
max_value3
end proc
> # End Function number 5
> # Begin Function number 6
> reached_interval := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local ret;
> if (glob_check_sign * (array_x[1]) >= glob_check_sign * glob_next_display) then # if number 1
> ret := true;
> else
> ret := false;
> fi;# end if 1;
> return(ret);
> end;
reached_interval := proc()
local ret;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_a1, array_tmp4_a2,
array_tmp4, array_tmp5, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
if glob_check_sign*glob_next_display <= glob_check_sign*array_x[1] then
ret := true
else ret := false
end if;
return ret
end proc
> # End Function number 6
> # Begin Function number 7
> display_alot := proc(iter)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
> #TOP DISPLAY ALOT
> if (reached_interval()) then # if number 1
> if (iter >= 0) then # if number 2
> 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 := omniabs(numeric_val - analytic_val_y);
> omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," ");
> if (omniabs(analytic_val_y) <> 0.0) then # if number 3
> relerr := abserr*100.0/omniabs(analytic_val_y);
> if (relerr <> 0.0) then # if number 4
> glob_good_digits := -trunc(log10(relerr)) + 2;
> else
> glob_good_digits := Digits;
> fi;# end if 4;
> else
> relerr := -1.0 ;
> glob_good_digits := -1;
> fi;# end if 3;
> if (glob_iter = 1) then # if number 3
> array_1st_rel_error[1] := relerr;
> else
> array_last_rel_error[1] := relerr;
> fi;# end if 3;
> omniout_float(ALWAYS,"absolute error ",4,abserr,20," ");
> omniout_float(ALWAYS,"relative error ",4,relerr,20,"%");
> omniout_int(INFO,"Correct digits ",32,glob_good_digits,4," ")
> ;
> omniout_float(ALWAYS,"h ",4,glob_h,20," ");
> fi;# end if 2;
> #BOTTOM DISPLAY ALOT
> fi;# end if 1;
> end;
display_alot := proc(iter)
local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_a1, array_tmp4_a2,
array_tmp4, array_tmp5, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
if reached_interval() then
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 := omniabs(numeric_val - analytic_val_y);
omniout_float(ALWAYS, "y[1] (numeric) ", 33,
numeric_val, 20, " ");
if omniabs(analytic_val_y) <> 0. then
relerr := abserr*100.0/omniabs(analytic_val_y);
if relerr <> 0. then
glob_good_digits := -trunc(log10(relerr)) + 2
else glob_good_digits := Digits
end if
else relerr := -1.0; glob_good_digits := -1
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_int(INFO, "Correct digits ", 32,
glob_good_digits, 4, " ");
omniout_float(ALWAYS, "h ", 4,
glob_h, 20, " ")
end if
end if
end proc
> # End Function number 7
> # Begin Function number 8
> adjust_for_pole := proc(h_param)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local hnew, sz2, tmp;
> #TOP ADJUST FOR POLE
> hnew := h_param;
> glob_normmax := glob_small_float;
> if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 1
> tmp := omniabs(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 (omniabs(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");
> 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
> return(hnew);
> #BOTTOM ADJUST FOR POLE
> end;
adjust_for_pole := proc(h_param)
local hnew, sz2, tmp;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_a1, array_tmp4_a2,
array_tmp4, array_tmp5, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
hnew := h_param;
glob_normmax := glob_small_float;
if glob_small_float < omniabs(array_y_higher[1, 1]) then
tmp := omniabs(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 < omniabs(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");
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;
return hnew
end proc
> # End Function number 8
> # Begin Function number 9
> prog_report := proc(x_start,x_end)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> 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));
> glob_total_exp_sec := glob_optimal_expect_sec + total_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));
> omniout_str_noeol(INFO,"Expected Total Time ");
> omniout_timestr(convfloat(glob_total_exp_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;
prog_report := proc(x_start, x_end)
local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec,
percent_done, total_clock_sec;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_a1, array_tmp4_a2,
array_tmp4, array_tmp5, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, 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));
glob_total_exp_sec := glob_optimal_expect_sec + total_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));
omniout_str_noeol(INFO, "Expected Total Time ");
omniout_timestr(convfloat(glob_total_exp_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
> # End Function number 9
> # Begin Function number 10
> check_for_pole := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found, h_new, ratio, term;
> #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 ((omniabs(array_y_higher[1,m]) < glob_small_float) or (omniabs(array_y_higher[1,m-1]) < glob_small_float) or (omniabs(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 (omniabs(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 (omniabs(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
> ((omniabs(array_y_higher[1,m]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-1]) >=(glob_large_float)) or (omniabs(array_y_higher[1,m-2]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-3]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-4]) >= (glob_large_float)) or (omniabs(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 ((omniabs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (omniabs(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 (omniabs(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 (omniabs(rcs) > glob_small_float) then # if number 5
> if (rcs > 0.0) then # if number 6
> rad_c := sqrt(rcs) * omniabs(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
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Complex estimate of poles used");
> fi;# end if 4;
> 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
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Real estimate of pole used");
> fi;# end if 4;
> 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 (reached_interval()) 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
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Real estimate of pole used");
> fi;# end if 4;
> 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
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Complex estimate of poles used");
> fi;# end if 4;
> 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 (reached_interval()) 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
> #START ADJUST ALL SERIES
> if (array_pole[1] * glob_ratio_of_radius < omniabs(glob_h)) then # if number 2
> h_new := array_pole[1] * glob_ratio_of_radius;
> term := 1;
> ratio := 1.0;
> while (term <= glob_max_terms) do # do number 2
> array_y[term] := array_y[term]* ratio;
> array_y_higher[1,term] := array_y_higher[1,term]* ratio;
> array_x[term] := array_x[term]* ratio;
> ratio := ratio * h_new / omniabs(glob_h);
> term := term + 1;
> od;# end do number 2;
> glob_h := h_new;
> fi;# end if 2;
> #BOTTOM ADJUST ALL SERIES
> if (reached_interval()) then # if number 2
> display_pole();
> fi;# end if 2
> 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, h_new, ratio, term;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_a1, array_tmp4_a2,
array_tmp4, array_tmp5, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
n := glob_max_terms;
m := n - 2;
while 10 <= m and (omniabs(array_y_higher[1, m]) < glob_small_float or
omniabs(array_y_higher[1, m - 1]) < glob_small_float or
omniabs(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 < omniabs(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 < omniabs(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 <= omniabs(array_y_higher[1, m]) or
glob_large_float <= omniabs(array_y_higher[1, m - 1]) or
glob_large_float <= omniabs(array_y_higher[1, m - 2]) or
glob_large_float <= omniabs(array_y_higher[1, m - 3]) or
glob_large_float <= omniabs(array_y_higher[1, m - 4]) or
glob_large_float <= omniabs(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 omniabs(nr1*dr2 - nr2*dr1) <= glob_small_float or
omniabs(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 < omniabs(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 < omniabs(rcs) then
if 0. < rcs then rad_c := sqrt(rcs)*omniabs(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
if reached_interval() then
omniout_str(ALWAYS, "Complex estimate of poles used")
end if
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
if reached_interval() then
omniout_str(ALWAYS, "Real estimate of pole used")
end if
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 reached_interval() 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
if reached_interval() then
omniout_str(ALWAYS, "Real estimate of pole used")
end if
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
if reached_interval() then
omniout_str(ALWAYS, "Complex estimate of poles used")
end if
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 reached_interval() 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;
if array_pole[1]*glob_ratio_of_radius < omniabs(glob_h) then
h_new := array_pole[1]*glob_ratio_of_radius;
term := 1;
ratio := 1.0;
while term <= glob_max_terms do
array_y[term] := array_y[term]*ratio;
array_y_higher[1, term] := array_y_higher[1, term]*ratio;
array_x[term] := array_x[term]*ratio;
ratio := ratio*h_new/omniabs(glob_h);
term := term + 1
end do;
glob_h := h_new
end if;
if reached_interval() then display_pole() end if
end proc
> # End Function number 10
> # Begin Function number 11
> get_norms := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local iii;
> if ( not glob_initial_pass) then # if number 2
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> array_norms[iii] := 0.0;
> iii := iii + 1;
> od;# end do number 2;
> #TOP GET NORMS
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> if (omniabs(array_y[iii]) > array_norms[iii]) then # if number 3
> array_norms[iii] := omniabs(array_y[iii]);
> fi;# end if 3;
> iii := iii + 1;
> od;# end do number 2
> #BOTTOM GET NORMS
> ;
> fi;# end if 2;
> end;
get_norms := proc()
local iii;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_a1, array_tmp4_a2,
array_tmp4, array_tmp5, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
if not glob_initial_pass then
iii := 1;
while iii <= glob_max_terms do
array_norms[iii] := 0.; iii := iii + 1
end do;
iii := 1;
while iii <= glob_max_terms do
if array_norms[iii] < omniabs(array_y[iii]) then
array_norms[iii] := omniabs(array_y[iii])
end if;
iii := iii + 1
end do
end if
end proc
> # End Function number 11
> # Begin Function number 12
> atomall := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local kkk, order_d, adj2, adj3 , temporary, term;
> #TOP ATOMALL
> #END OUTFILE1
> #BEGIN ATOMHDR1
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 1
> array_tmp1[1] := array_const_0D1[1] * array_x[1];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 1
> array_tmp2[1] := array_tmp1[1] + array_const_0D2[1];
> #emit pre sqrt 1 $eq_no = 1
> array_tmp3[1] := sqrt(array_tmp2[1]);
> #emit pre arctan $eq_no = 1
> array_tmp4[1] := arctan(array_tmp3[1]);
> array_tmp4_a1[1] := sin(array_tmp4[1]);
> array_tmp4_a2[1] := cos(array_tmp4[1]);
> #emit pre add CONST FULL $eq_no = 1 i = 1
> array_tmp5[1] := array_const_0D0[1] + array_tmp4[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_tmp5[1] * expt(glob_h , (1)) * factorial_3(0,1);
> array_y[2] := temporary;
> array_y_higher[1,2] := temporary;
> temporary := temporary / glob_h;
> array_y_higher[2,1] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 2;
> #END ATOMHDR1
> #BEGIN ATOMHDR2
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 2
> array_tmp1[2] := array_const_0D1[1] * array_x[2];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 2
> array_tmp2[2] := array_tmp1[2];
> #emit pre sqrt 2 $eq_no = 1
> array_tmp3[2] := array_tmp2[2] / array_tmp3[1]/2.0;
> #emit pre arctan $eq_no = 1
> array_tmp4[2] := (ats(2,array_tmp3,array_tmp4_a2,2) - array_tmp3[1] * att(1,array_tmp4_a1,array_tmp4,2) - att(1,array_tmp4_a2,array_tmp4,2)) / (array_tmp4_a2[1] + array_tmp3[1] * array_tmp4_a1[1]);
> array_tmp4_a1[2] := att(1,array_tmp4_a2,array_tmp4,1);
> array_tmp4_a2[2] := -att(1,array_tmp4_a1,array_tmp4,1);
> #emit pre add CONST FULL $eq_no = 1 i = 2
> array_tmp5[2] := array_tmp4[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_tmp5[2] * expt(glob_h , (1)) * factorial_3(1,2);
> array_y[3] := temporary;
> array_y_higher[1,3] := temporary;
> temporary := temporary / glob_h;
> array_y_higher[2,2] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 3;
> #END ATOMHDR2
> #BEGIN ATOMHDR3
> #emit pre sqrt ID_LINEAR iii = 3 $eq_no = 1
> array_tmp3[3] := 0.0;
> array_tmp3[3] := -ats(3,array_tmp3,array_tmp3,2) / array_tmp3[1] / 2.0;
> #emit pre arctan $eq_no = 1
> array_tmp4[3] := (ats(3,array_tmp3,array_tmp4_a2,2) - array_tmp3[1] * att(2,array_tmp4_a1,array_tmp4,2) - att(2,array_tmp4_a2,array_tmp4,2)) / (array_tmp4_a2[1] + array_tmp3[1] * array_tmp4_a1[1]);
> array_tmp4_a1[3] := att(2,array_tmp4_a2,array_tmp4,1);
> array_tmp4_a2[3] := -att(2,array_tmp4_a1,array_tmp4,1);
> #emit pre add CONST FULL $eq_no = 1 i = 3
> array_tmp5[3] := array_tmp4[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_tmp5[3] * expt(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 sqrt ID_LINEAR iii = 4 $eq_no = 1
> array_tmp3[4] := 0.0;
> array_tmp3[4] := -ats(4,array_tmp3,array_tmp3,2) / array_tmp3[1] / 2.0;
> #emit pre arctan $eq_no = 1
> array_tmp4[4] := (ats(4,array_tmp3,array_tmp4_a2,2) - array_tmp3[1] * att(3,array_tmp4_a1,array_tmp4,2) - att(3,array_tmp4_a2,array_tmp4,2)) / (array_tmp4_a2[1] + array_tmp3[1] * array_tmp4_a1[1]);
> array_tmp4_a1[4] := att(3,array_tmp4_a2,array_tmp4,1);
> array_tmp4_a2[4] := -att(3,array_tmp4_a1,array_tmp4,1);
> #emit pre add CONST FULL $eq_no = 1 i = 4
> array_tmp5[4] := array_tmp4[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_tmp5[4] * expt(glob_h , (1)) * factorial_3(3,4);
> array_y[5] := temporary;
> array_y_higher[1,5] := temporary;
> temporary := temporary / glob_h * (3.0);
> array_y_higher[2,4] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 5;
> #END ATOMHDR4
> #BEGIN ATOMHDR5
> #emit pre sqrt ID_LINEAR iii = 5 $eq_no = 1
> array_tmp3[5] := 0.0;
> array_tmp3[5] := -ats(5,array_tmp3,array_tmp3,2) / array_tmp3[1] / 2.0;
> #emit pre arctan $eq_no = 1
> array_tmp4[5] := (ats(5,array_tmp3,array_tmp4_a2,2) - array_tmp3[1] * att(4,array_tmp4_a1,array_tmp4,2) - att(4,array_tmp4_a2,array_tmp4,2)) / (array_tmp4_a2[1] + array_tmp3[1] * array_tmp4_a1[1]);
> array_tmp4_a1[5] := att(4,array_tmp4_a2,array_tmp4,1);
> array_tmp4_a2[5] := -att(4,array_tmp4_a1,array_tmp4,1);
> #emit pre add CONST FULL $eq_no = 1 i = 5
> array_tmp5[5] := array_tmp4[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_tmp5[5] * expt(glob_h , (1)) * factorial_3(4,5);
> array_y[6] := temporary;
> array_y_higher[1,6] := temporary;
> temporary := temporary / glob_h * (4.0);
> 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 sqrt LINEAR $eq_no = 1
> array_tmp3[kkk] := 0.0;
> array_tmp3[kkk] := -ats(kkk,array_tmp3,array_tmp3,2) /array_tmp3[1] / 2.0;
> #emit atan $eq_no = 1
> array_tmp4[kkk] := (ats(kkk,array_tmp3,array_tmp4_a2,2) - array_tmp3[1] * att(kkk-1,array_tmp4_a1,array_tmp4,2) - att(kkk-1,array_tmp4_a2,array_tmp4,2))/(array_tmp4_a2[1] + array_tmp3[1] * array_tmp4_a1[1]);
> array_tmp4_a1[kkk] := att(kkk-1,array_tmp4_a2,array_tmp4,1);
> array_tmp4_a2[kkk] := -att(kkk-1,array_tmp4_a1,array_tmp4,1);
> #emit NOT FULL - FULL add $eq_no = 1
> array_tmp5[kkk] := array_tmp4[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_tmp5[kkk] * expt(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 := kkk + order_d - 2;
> adj3 := 2;
> while (term >= 1) do # do number 2
> if (adj3 <= order_d + 1) then # if number 3
> if (adj2 > 1) then # if number 4
> temporary := temporary / glob_h * convfp(adj2);
> else
> temporary := temporary / glob_h;
> fi;# end if 4;
> array_y_higher[adj3,term] := temporary;
> fi;# end if 3;
> term := term - 1;
> adj2 := adj2 - 1;
> adj3 := adj3 + 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
> #BOTTOM ATOMALL ???
> end;
atomall := proc()
local kkk, order_d, adj2, adj3, temporary, term;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_a1, array_tmp4_a2,
array_tmp4, array_tmp5, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
array_tmp1[1] := array_const_0D1[1]*array_x[1];
array_tmp2[1] := array_tmp1[1] + array_const_0D2[1];
array_tmp3[1] := sqrt(array_tmp2[1]);
array_tmp4[1] := arctan(array_tmp3[1]);
array_tmp4_a1[1] := sin(array_tmp4[1]);
array_tmp4_a2[1] := cos(array_tmp4[1]);
array_tmp5[1] := array_const_0D0[1] + array_tmp4[1];
if not array_y_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp5[1]*expt(glob_h, 1)*factorial_3(0, 1);
array_y[2] := temporary;
array_y_higher[1, 2] := temporary;
temporary := temporary/glob_h;
array_y_higher[2, 1] := temporary
end if
end if;
kkk := 2;
array_tmp1[2] := array_const_0D1[1]*array_x[2];
array_tmp2[2] := array_tmp1[2];
array_tmp3[2] := array_tmp2[2]/(array_tmp3[1]*2.0);
array_tmp4[2] := (ats(2, array_tmp3, array_tmp4_a2, 2)
- array_tmp3[1]*att(1, array_tmp4_a1, array_tmp4, 2)
- att(1, array_tmp4_a2, array_tmp4, 2))/(
array_tmp4_a2[1] + array_tmp3[1]*array_tmp4_a1[1]);
array_tmp4_a1[2] := att(1, array_tmp4_a2, array_tmp4, 1);
array_tmp4_a2[2] := -att(1, array_tmp4_a1, array_tmp4, 1);
array_tmp5[2] := array_tmp4[2];
if not array_y_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp5[2]*expt(glob_h, 1)*factorial_3(1, 2);
array_y[3] := temporary;
array_y_higher[1, 3] := temporary;
temporary := temporary/glob_h;
array_y_higher[2, 2] := temporary
end if
end if;
kkk := 3;
array_tmp3[3] := 0.;
array_tmp3[3] := -ats(3, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0)
;
array_tmp4[3] := (ats(3, array_tmp3, array_tmp4_a2, 2)
- array_tmp3[1]*att(2, array_tmp4_a1, array_tmp4, 2)
- att(2, array_tmp4_a2, array_tmp4, 2))/(
array_tmp4_a2[1] + array_tmp3[1]*array_tmp4_a1[1]);
array_tmp4_a1[3] := att(2, array_tmp4_a2, array_tmp4, 1);
array_tmp4_a2[3] := -att(2, array_tmp4_a1, array_tmp4, 1);
array_tmp5[3] := array_tmp4[3];
if not array_y_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp5[3]*expt(glob_h, 1)*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_tmp3[4] := 0.;
array_tmp3[4] := -ats(4, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0)
;
array_tmp4[4] := (ats(4, array_tmp3, array_tmp4_a2, 2)
- array_tmp3[1]*att(3, array_tmp4_a1, array_tmp4, 2)
- att(3, array_tmp4_a2, array_tmp4, 2))/(
array_tmp4_a2[1] + array_tmp3[1]*array_tmp4_a1[1]);
array_tmp4_a1[4] := att(3, array_tmp4_a2, array_tmp4, 1);
array_tmp4_a2[4] := -att(3, array_tmp4_a1, array_tmp4, 1);
array_tmp5[4] := array_tmp4[4];
if not array_y_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp5[4]*expt(glob_h, 1)*factorial_3(3, 4);
array_y[5] := temporary;
array_y_higher[1, 5] := temporary;
temporary := temporary*3.0/glob_h;
array_y_higher[2, 4] := temporary
end if
end if;
kkk := 5;
array_tmp3[5] := 0.;
array_tmp3[5] := -ats(5, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0)
;
array_tmp4[5] := (ats(5, array_tmp3, array_tmp4_a2, 2)
- array_tmp3[1]*att(4, array_tmp4_a1, array_tmp4, 2)
- att(4, array_tmp4_a2, array_tmp4, 2))/(
array_tmp4_a2[1] + array_tmp3[1]*array_tmp4_a1[1]);
array_tmp4_a1[5] := att(4, array_tmp4_a2, array_tmp4, 1);
array_tmp4_a2[5] := -att(4, array_tmp4_a1, array_tmp4, 1);
array_tmp5[5] := array_tmp4[5];
if not array_y_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp5[5]*expt(glob_h, 1)*factorial_3(4, 5);
array_y[6] := temporary;
array_y_higher[1, 6] := temporary;
temporary := temporary*4.0/glob_h;
array_y_higher[2, 5] := temporary
end if
end if;
kkk := 6;
while kkk <= glob_max_terms do
array_tmp3[kkk] := 0.;
array_tmp3[kkk] :=
-ats(kkk, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0);
array_tmp4[kkk] := (ats(kkk, array_tmp3, array_tmp4_a2, 2)
- array_tmp3[1]*att(kkk - 1, array_tmp4_a1, array_tmp4, 2)
- att(kkk - 1, array_tmp4_a2, array_tmp4, 2))/(
array_tmp4_a2[1] + array_tmp3[1]*array_tmp4_a1[1]);
array_tmp4_a1[kkk] := att(kkk - 1, array_tmp4_a2, array_tmp4, 1);
array_tmp4_a2[kkk] := -att(kkk - 1, array_tmp4_a1, array_tmp4, 1);
array_tmp5[kkk] := array_tmp4[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_tmp5[kkk]*expt(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 := kkk + order_d - 2;
adj3 := 2;
while 1 <= term do
if adj3 <= order_d + 1 then
if 1 < adj2 then
temporary := temporary*convfp(adj2)/glob_h
else temporary := temporary/glob_h
end if;
array_y_higher[adj3, term] := temporary
end if;
term := term - 1;
adj2 := adj2 - 1;
adj3 := adj3 + 1
end do
end if
end if;
kkk := kkk + 1
end do
end proc
> # End Function number 12
> #BEGIN ATS LIBRARY BLOCK
> # Begin Function number 2
> omniout_str := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> printf("%s\n",str);
> fi;# end if 1;
> end;
omniout_str := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s\n", str) end if
end proc
> # End Function number 2
> # Begin Function number 3
> omniout_str_noeol := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> printf("%s",str);
> fi;# end if 1;
> end;
omniout_str_noeol := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s", str) end if
end proc
> # End Function number 3
> # Begin Function number 4
> omniout_labstr := proc(iolevel,label,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> print(label,str);
> fi;# end if 1;
> end;
omniout_labstr := proc(iolevel, label, str)
global glob_iolevel;
if iolevel <= glob_iolevel then print(label, str) end if
end proc
> # End Function number 4
> # Begin Function number 5
> omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> if vallen = 4 then
> printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel);
> else
> printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel);
> fi;# end if 1;
> fi;# end if 0;
> 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
> # End Function number 5
> # Begin Function number 6
> omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 0
> if vallen = 5 then # if number 1
> printf("%-30s = %-32d %s\n",prelabel,value, postlabel);
> else
> printf("%-30s = %-32d %s \n",prelabel,value, postlabel);
> fi;# end if 1;
> fi;# end if 0;
> 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
> # End Function number 6
> # Begin Function number 7
> omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 0
> print(prelabel,"[",elemnt,"]",value, postlabel);
> fi;# end if 0;
> 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
> # End Function number 7
> # Begin Function number 8
> dump_series := proc(iolevel,dump_label,series_name,arr_series,numb)
> global glob_iolevel;
> local i;
> if (glob_iolevel >= iolevel) then # if number 0
> i := 1;
> while (i <= numb) do # do number 1
> print(dump_label,series_name
> ,i,arr_series[i]);
> i := i + 1;
> od;# end do number 1
> fi;# end if 0
> end;
dump_series := proc(iolevel, dump_label, series_name, arr_series, numb)
local i;
global glob_iolevel;
if iolevel <= glob_iolevel then
i := 1;
while i <= numb do
print(dump_label, series_name, i, arr_series[i]); i := i + 1
end do
end if
end proc
> # End Function number 8
> # Begin Function number 9
> dump_series_2 := proc(iolevel,dump_label,series_name2,arr_series2,numb,subnum,arr_x)
> global glob_iolevel;
> local i,sub,ts_term;
> if (glob_iolevel >= iolevel) then # if number 0
> sub := 1;
> while (sub <= subnum) do # do number 1
> i := 1;
> while (i <= numb) do # do number 2
> print(dump_label,series_name2,sub,i,arr_series2[sub,i]);
> od;# end do number 2;
> sub := sub + 1;
> od;# end do number 1;
> fi;# end if 0;
> end;
dump_series_2 := proc(
iolevel, dump_label, series_name2, arr_series2, numb, subnum, arr_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,
arr_series2[sub, i])
end do;
sub := sub + 1
end do
end if
end proc
> # End Function number 9
> # Begin Function number 10
> cs_info := proc(iolevel,str)
> global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h;
> if (glob_iolevel >= iolevel) then # if number 0
> 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 if 0;
> 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
> # End Function number 10
> # Begin Function number 11
> logitem_time := proc(fd,secs_in)
> global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
> local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
> fprintf(fd,"
");
> if (secs_in >= 0) then # if number 0
> years_int := trunc(secs_in / glob_sec_in_year);
> sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year));
> days_int := trunc(sec_temp / glob_sec_in_day) ;
> sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ;
> hours_int := trunc(sec_temp / glob_sec_in_hour);
> sec_temp := (sec_temp mod trunc(glob_sec_in_hour));
> minutes_int := trunc(sec_temp / glob_sec_in_minute);
> sec_int := (sec_temp mod trunc(glob_sec_in_minute));
> if (years_int > 0) then # if number 1
> 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 2
> 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 3
> fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int);
> elif
> (minutes_int > 0) then # if number 4
> fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int);
> else
> fprintf(fd,"%d Seconds",sec_int);
> fi;# end if 4
> else
> fprintf(fd," Unknown");
> fi;# end if 3
> fprintf(fd," | \n");
> end;
logitem_time := proc(fd, secs_in)
local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int;
global
glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
fprintf(fd, "");
if 0 <= secs_in then
years_int := trunc(secs_in/glob_sec_in_year);
sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year);
days_int := trunc(sec_temp/glob_sec_in_day);
sec_temp := sec_temp mod trunc(glob_sec_in_day);
hours_int := trunc(sec_temp/glob_sec_in_hour);
sec_temp := sec_temp mod trunc(glob_sec_in_hour);
minutes_int := trunc(sec_temp/glob_sec_in_minute);
sec_int := sec_temp mod trunc(glob_sec_in_minute);
if 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, " | \n")
end proc
> # End Function number 11
> # Begin Function number 12
> omniout_timestr := proc(secs_in)
> global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
> local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
> if (secs_in >= 0) then # if number 3
> years_int := trunc(secs_in / glob_sec_in_year);
> sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year));
> days_int := trunc(sec_temp / glob_sec_in_day) ;
> sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ;
> hours_int := trunc(sec_temp / glob_sec_in_hour);
> sec_temp := (sec_temp mod trunc(glob_sec_in_hour));
> minutes_int := trunc(sec_temp / glob_sec_in_minute);
> sec_int := (sec_temp mod trunc(glob_sec_in_minute));
> if (years_int > 0) then # if number 4
> 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 5
> 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 6
> printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int);
> elif
> (minutes_int > 0) then # if number 7
> printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int);
> else
> printf(" = %d Seconds\n",sec_int);
> fi;# end if 7
> else
> printf(" Unknown\n");
> fi;# end if 6
> end;
omniout_timestr := proc(secs_in)
local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int;
global
glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
if 0 <= secs_in then
years_int := trunc(secs_in/glob_sec_in_year);
sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year);
days_int := trunc(sec_temp/glob_sec_in_day);
sec_temp := sec_temp mod trunc(glob_sec_in_day);
hours_int := trunc(sec_temp/glob_sec_in_hour);
sec_temp := sec_temp mod trunc(glob_sec_in_hour);
minutes_int := trunc(sec_temp/glob_sec_in_minute);
sec_int := sec_temp mod trunc(glob_sec_in_minute);
if 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
> # End Function number 12
> # Begin Function number 13
> ats := proc(mmm_ats,arr_a,arr_b,jjj_ats)
> local iii_ats, lll_ats,ma_ats, ret_ats;
> ret_ats := 0.0;
> if (jjj_ats <= mmm_ats) then # if number 6
> 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 + arr_a[iii_ats]*arr_b[lll_ats];
> iii_ats := iii_ats + 1;
> od;# end do number 1
> fi;# end if 6;
> ret_ats;
> end;
ats := proc(mmm_ats, arr_a, arr_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 + arr_a[iii_ats]*arr_b[lll_ats];
iii_ats := iii_ats + 1
end do
end if;
ret_ats
end proc
> # End Function number 13
> # Begin Function number 14
> att := proc(mmm_att,arr_aa,arr_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 6
> 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 7
> ret_att := ret_att + arr_aa[iii_att]*arr_bb[lll_att]* convfp(al_att);
> fi;# end if 7;
> iii_att := iii_att + 1;
> od;# end do number 1;
> ret_att := ret_att / convfp(mmm_att) ;
> fi;# end if 6;
> ret_att;
> end;
att := proc(mmm_att, arr_aa, arr_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 + arr_aa[iii_att]*arr_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
> # End Function number 14
> # Begin Function number 15
> 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 6
> 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 6
> 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
> # End Function number 15
> # Begin Function number 16
> logditto := proc(file)
> fprintf(file,"");
> fprintf(file,"ditto");
> fprintf(file," | ");
> end;
logditto := proc(file)
fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, " | ")
end proc
> # End Function number 16
> # Begin Function number 17
> logitem_integer := proc(file,n)
> fprintf(file,"");
> fprintf(file,"%d",n);
> fprintf(file," | ");
> end;
logitem_integer := proc(file, n)
fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, " | ")
end proc
> # End Function number 17
> # Begin Function number 18
> logitem_str := proc(file,str)
> fprintf(file,"");
> fprintf(file,str);
> fprintf(file," | ");
> end;
logitem_str := proc(file, str)
fprintf(file, ""); fprintf(file, str); fprintf(file, " | ")
end proc
> # End Function number 18
> # Begin Function number 19
> logitem_good_digits := proc(file,rel_error)
> global glob_small_float;
> local good_digits;
> fprintf(file,"");
> if (rel_error <> -1.0) then # if number 6
> if (rel_error <> 0.0) then # if number 7
> good_digits := 1-trunc(log10(rel_error));
> fprintf(file,"%d",good_digits);
> else
> good_digits := Digits;
> fprintf(file,"%d",good_digits);
> fi;# end if 7;
> else
> fprintf(file,"Unknown");
> fi;# end if 6;
> fprintf(file," | ");
> end;
logitem_good_digits := proc(file, rel_error)
local good_digits;
global glob_small_float;
fprintf(file, "");
if rel_error <> -1.0 then
if rel_error <> 0. then
good_digits := 1 - trunc(log10(rel_error));
fprintf(file, "%d", good_digits)
else good_digits := Digits; fprintf(file, "%d", good_digits)
end if
else fprintf(file, "Unknown")
end if;
fprintf(file, " | ")
end proc
> # End Function number 19
> # Begin Function number 20
> log_revs := proc(file,revs)
> fprintf(file,revs);
> end;
log_revs := proc(file, revs) fprintf(file, revs) end proc
> # End Function number 20
> # Begin Function number 21
> logitem_float := proc(file,x)
> fprintf(file,"");
> fprintf(file,"%g",x);
> fprintf(file," | ");
> end;
logitem_float := proc(file, x)
fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, " | ")
end proc
> # End Function number 21
> # Begin Function number 22
> logitem_pole := proc(file,pole)
> fprintf(file,"");
> if (pole = 0) then # if number 6
> fprintf(file,"NA");
> elif
> (pole = 1) then # if number 7
> fprintf(file,"Real");
> elif
> (pole = 2) then # if number 8
> fprintf(file,"Complex");
> else
> fprintf(file,"No Pole");
> fi;# end if 8
> fprintf(file," | ");
> 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
> # End Function number 22
> # Begin Function number 23
> logstart := proc(file)
> fprintf(file,"");
> end;
logstart := proc(file) fprintf(file, "
") end proc
> # End Function number 23
> # Begin Function number 24
> logend := proc(file)
> fprintf(file,"
\n");
> end;
logend := proc(file) fprintf(file, "\n") end proc
> # End Function number 24
> # Begin Function number 25
> 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 8
> omniout_str(ALWAYS,"Illegal max_terms = -- Using 30");
> glob_max_terms := 30;
> fi;# end if 8;
> if (glob_max_iter < 2) then # if number 8
> omniout_str(ALWAYS,"Illegal max_iter");
> errflag := true;
> fi;# end if 8;
> if (errflag) then # if number 8
> quit;
> fi;# end if 8
> 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
> # End Function number 25
> # Begin Function number 26
> comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec2)
> global glob_small_float;
> local ms2, rrr, sec_left, sub1, sub2;
> ;
> ms2 := clock_sec2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub1 = 0.0) then # if number 8
> sec_left := 0.0;
> else
> if (sub2 > 0.0) then # if number 9
> rrr := (sub1/sub2);
> sec_left := rrr * ms2 - ms2;
> else
> sec_left := 0.0;
> fi;# end if 9
> fi;# end if 8;
> sec_left;
> end;
comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec2)
local ms2, rrr, sec_left, sub1, sub2;
global glob_small_float;
ms2 := clock_sec2;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if sub1 = 0. then sec_left := 0.
else
if 0. < sub2 then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2
else sec_left := 0.
end if
end if;
sec_left
end proc
> # End Function number 26
> # Begin Function number 27
> 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 (sub2 > glob_small_float) then # if number 8
> rrr := (100.0*sub2)/sub1;
> else
> rrr := 0.0;
> fi;# end if 8;
> rrr;
> 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 < sub2 then rrr := 100.0*sub2/sub1
else rrr := 0.
end if;
rrr
end proc
> # End Function number 27
> # Begin Function number 28
> factorial_2 := proc(nnn)
> nnn!;
> end;
factorial_2 := proc(nnn) nnn! end proc
> # End Function number 28
> # Begin Function number 29
> factorial_1 := proc(nnn)
> global glob_max_terms,array_fact_1;
> local ret;
> if (nnn <= glob_max_terms) then # if number 8
> if (array_fact_1[nnn] = 0) then # if number 9
> ret := factorial_2(nnn);
> array_fact_1[nnn] := ret;
> else
> ret := array_fact_1[nnn];
> fi;# end if 9;
> else
> ret := factorial_2(nnn);
> fi;# end if 8;
> ret;
> 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 := factorial_2(nnn); array_fact_1[nnn] := ret
else ret := array_fact_1[nnn]
end if
else ret := factorial_2(nnn)
end if;
ret
end proc
> # End Function number 29
> # Begin Function number 30
> 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 8
> if (array_fact_2[mmm,nnn] = 0) then # if number 9
> ret := factorial_1(mmm)/factorial_1(nnn);
> array_fact_2[mmm,nnn] := ret;
> else
> ret := array_fact_2[mmm,nnn];
> fi;# end if 9;
> else
> ret := factorial_2(mmm)/factorial_2(nnn);
> fi;# end if 8;
> ret;
> 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 := factorial_2(mmm)/factorial_2(nnn)
end if;
ret
end proc
> # End Function number 30
> # Begin Function number 31
> convfp := proc(mmm)
> (mmm);
> end;
convfp := proc(mmm) mmm end proc
> # End Function number 31
> # Begin Function number 32
> convfloat := proc(mmm)
> (mmm);
> end;
convfloat := proc(mmm) mmm end proc
> # End Function number 32
> # Begin Function number 33
> elapsed_time_seconds := proc()
> time();
> end;
elapsed_time_seconds := proc() time() end proc
> # End Function number 33
> # Begin Function number 34
> omniabs := proc(x)
> abs(x);
> end;
omniabs := proc(x) abs(x) end proc
> # End Function number 34
> # Begin Function number 35
> expt := proc(x,y)
> (x^y);
> end;
expt := proc(x, y) x^y end proc
> # End Function number 35
> # Begin Function number 36
> estimated_needed_step_error := proc(x_start,x_end,estimated_h,estimated_answer)
> local desired_abs_gbl_error,range,estimated_steps,step_error;
> global glob_desired_digits_correct,ALWAYS;
> omniout_float(ALWAYS,"glob_desired_digits_correct",32,glob_desired_digits_correct,32,"");
> desired_abs_gbl_error := expt(10.0,- glob_desired_digits_correct) * omniabs(estimated_answer);
> omniout_float(ALWAYS,"desired_abs_gbl_error",32,desired_abs_gbl_error,32,"");
> range := (x_end - x_start);
> omniout_float(ALWAYS,"range",32,range,32,"");
> estimated_steps := range / estimated_h;
> omniout_float(ALWAYS,"estimated_steps",32,estimated_steps,32,"");
> step_error := omniabs(desired_abs_gbl_error / estimated_steps);
> omniout_float(ALWAYS,"step_error",32,step_error,32,"");
> (step_error);;
> end;
estimated_needed_step_error := proc(
x_start, x_end, estimated_h, estimated_answer)
local desired_abs_gbl_error, range, estimated_steps, step_error;
global glob_desired_digits_correct, ALWAYS;
omniout_float(ALWAYS, "glob_desired_digits_correct", 32,
glob_desired_digits_correct, 32, "");
desired_abs_gbl_error :=
expt(10.0, -glob_desired_digits_correct)*omniabs(estimated_answer);
omniout_float(ALWAYS, "desired_abs_gbl_error", 32,
desired_abs_gbl_error, 32, "");
range := x_end - x_start;
omniout_float(ALWAYS, "range", 32, range, 32, "");
estimated_steps := range/estimated_h;
omniout_float(ALWAYS, "estimated_steps", 32, estimated_steps, 32, "");
step_error := omniabs(desired_abs_gbl_error/estimated_steps);
omniout_float(ALWAYS, "step_error", 32, step_error, 32, "");
step_error
end proc
> # End Function number 36
> #END ATS LIBRARY BLOCK
> #BEGIN USER DEF BLOCK
> #BEGIN USER DEF BLOCK
> exact_soln_y := proc(x)
> return(10.0 * (0.1 * x + 0.2) * arctan(sqrt ( 0.1 * x + 0.2)) - 10.0 * sqrt( 0.1 * x +
> 0.2) + 10.0 * arctan(sqrt( 0.1 * x + 0.2)));
> end;
exact_soln_y := proc(x)
return 10.0*(0.1*x + 0.2)*arctan(sqrt(0.1*x + 0.2))
- 10.0*sqrt(0.1*x + 0.2) + 10.0*arctan(sqrt(0.1*x + 0.2))
end proc
> #END USER DEF BLOCK
> #END USER DEF BLOCK
> #END OUTFILE5
> # Begin Function number 2
> main := 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,subiter, est_needed_step_err,value3,min_value,est_answer,best_h,found_h;
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> glob_last;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> glob_iolevel := INFO;
> glob_max_terms := 30;
> glob_iolevel := 5;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> MAX_UNCHANGED := 10;
> glob_check_sign := 1.0;
> glob_desired_digits_correct := 8.0;
> glob_max_value3 := 0.0;
> glob_ratio_of_radius := 0.01;
> glob_percent_done := 0.0;
> glob_subiter_method := 3;
> glob_log10normmin := 0.1;
> glob_total_exp_sec := 0.1;
> glob_optimal_expect_sec := 0.1;
> glob_html_log := true;
> glob_good_digits := 0;
> glob_max_opt_iter := 10;
> glob_dump := false;
> glob_djd_debug := true;
> glob_display_flag := true;
> glob_djd_debug2 := true;
> glob_sec_in_minute := 60;
> glob_min_in_hour := 60;
> glob_hours_in_day := 24;
> glob_days_in_year := 365;
> glob_sec_in_hour := 3600;
> glob_sec_in_day := 86400;
> glob_sec_in_year := 31536000;
> glob_almost_1 := 0.9990;
> glob_clock_sec := 0.0;
> glob_clock_start_sec := 0.0;
> glob_not_yet_finished := true;
> glob_initial_pass := true;
> glob_not_yet_start_msg := true;
> glob_reached_optimal_h := false;
> glob_optimal_done := false;
> glob_disp_incr := 0.1;
> glob_h := 0.1;
> glob_hmax := 1.0;
> glob_hmin := 0.00000000001;
> glob_hmin_init := 0.001;
> glob_large_float := 9.0e100;
> glob_last_good_h := 0.1;
> glob_look_poles := false;
> glob_neg_h := false;
> glob_display_interval := 0.0;
> glob_next_display := 0.0;
> glob_dump_analytic := false;
> glob_log10_abserr := 0.1e-10;
> glob_log10_relerr := 0.1e-10;
> glob_abserr := 0.1e-10;
> glob_relerr := 0.1e-10;
> glob_max_hours := 0.0;
> glob_max_iter := 1000;
> glob_max_rel_trunc_err := 0.1e-10;
> glob_max_trunc_err := 0.1e-10;
> glob_no_eqs := 0;
> glob_optimal_clock_start_sec := 0.0;
> glob_optimal_start := 0.0;
> glob_small_float := 0.1e-50;
> glob_smallish_float := 0.1e-100;
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_max_sec := 10000.0;
> glob_orig_start_sec := 0.0;
> glob_start := 0;
> glob_curr_iter_when_opt := 0;
> glob_current_iter := 0;
> glob_iter := 0;
> glob_normmax := 0.0;
> glob_log10abserr := 0.0;
> glob_log10relerr := 0.0;
> glob_max_minutes := 0.0;
> #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/arctan_sqrtpostode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = arctan(sqrt(0.1 * x + 0.2));");
> 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 := -1.0;");
> omniout_str(ALWAYS,"x_end := 0.5 ;");
> omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);");
> omniout_str(ALWAYS,"glob_h := 0.05;");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 1000000;");
> omniout_str(ALWAYS,"glob_display_interval := 0.1;");
> omniout_str(ALWAYS,"glob_max_minutes := 10;");
> omniout_str(ALWAYS,"#END SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK");
> omniout_str(ALWAYS,"glob_desired_digits_correct:=10;");
> omniout_str(ALWAYS,"glob_display_interval:=0.001;");
> omniout_str(ALWAYS,"glob_look_poles:=true;");
> omniout_str(ALWAYS,"glob_max_iter:=10000000;");
> omniout_str(ALWAYS,"glob_max_minutes:=3;");
> 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,"return(10.0 * (0.1 * x + 0.2) * arctan(sqrt ( 0.1 * x + 0.2)) - 10.0 * sqrt( 0.1 * x +");
> omniout_str(ALWAYS,"0.2) + 10.0 * arctan(sqrt( 0.1 * x + 0.2)));");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"#END USER DEF BLOCK");
> omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################");
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_small_float := 1.0e-200;
> glob_smallish_float := 1.0e-64;
> glob_large_float := 1.0e100;
> glob_almost_1 := 0.99;
> glob_log10_abserr := -8.0;
> glob_log10_relerr := -8.0;
> glob_hmax := 0.01;
> #BEGIN FIRST INPUT BLOCK
> #BEGIN FIRST INPUT BLOCK
> Digits:=32;
> max_terms:=30;
> #END FIRST INPUT BLOCK
> #START OF INITS AFTER INPUT BLOCK
> glob_max_terms := max_terms;
> glob_html_log := true;
> #END OF INITS AFTER INPUT BLOCK
> array_y_init:= Array(0..(max_terms + 1),[]);
> array_norms:= Array(0..(max_terms + 1),[]);
> array_fact_1:= Array(0..(max_terms + 1),[]);
> array_pole:= Array(0..(max_terms + 1),[]);
> array_1st_rel_error:= Array(0..(max_terms + 1),[]);
> array_last_rel_error:= Array(0..(max_terms + 1),[]);
> array_type_pole:= Array(0..(max_terms + 1),[]);
> array_y:= Array(0..(max_terms + 1),[]);
> array_x:= Array(0..(max_terms + 1),[]);
> array_tmp0:= Array(0..(max_terms + 1),[]);
> array_tmp1:= Array(0..(max_terms + 1),[]);
> array_tmp2:= Array(0..(max_terms + 1),[]);
> array_tmp3:= Array(0..(max_terms + 1),[]);
> array_tmp4_a1:= Array(0..(max_terms + 1),[]);
> array_tmp4_a2:= Array(0..(max_terms + 1),[]);
> array_tmp4:= Array(0..(max_terms + 1),[]);
> array_tmp5:= Array(0..(max_terms + 1),[]);
> array_m1:= Array(0..(max_terms + 1),[]);
> array_y_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_set_initial := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_poles := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_real_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_complex_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y_init[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_norms[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_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_1st_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> 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_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[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp4_a1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp4_a2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp5[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;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_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_higher_work2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_set_initial[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=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 <=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 <=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;
> #BEGIN ARRAYS DEFINED AND INITIALIZATED
> 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_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_tmp0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp1 := 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_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_tmp3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp4_a1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp4_a1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp4_a2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp4_a2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp4 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp5 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp5[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1[1] := 1;
> array_const_0D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D0[1] := 0.0;
> array_const_0D1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D1[1] := 0.1;
> array_const_0D2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D2[1] := 0.2;
> 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 := -1.0;
> x_end := 0.5 ;
> array_y_init[0 + 1] := exact_soln_y(x_start);
> glob_h := 0.05;
> glob_look_poles := true;
> glob_max_iter := 1000000;
> glob_display_interval := 0.1;
> glob_max_minutes := 10;
> #END SECOND INPUT BLOCK
> #BEGIN OVERRIDE BLOCK
> glob_desired_digits_correct:=10;
> glob_display_interval:=0.001;
> glob_look_poles:=true;
> glob_max_iter:=10000000;
> glob_max_minutes:=3;
> #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 := expt(10.0 , (glob_log10_abserr));
> glob_relerr := expt(10.0 , (glob_log10_relerr));
> if (glob_h > 0.0) then # if number 1
> glob_neg_h := false;
> glob_display_interval := omniabs(glob_display_interval);
> else
> glob_neg_h := true;
> glob_display_interval := -omniabs(glob_display_interval);
> fi;# end if 1;
> 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;
> #BEGIN OPTIMIZE CODE
> omniout_str(ALWAYS,"START of Optimize");
> #Start Series -- INITIALIZE FOR OPTIMIZE
> glob_check_sign := check_sign(x_start,x_end);
> glob_h := check_sign(x_start,x_end);
> if (glob_display_interval < glob_h) then # if number 2
> glob_h := glob_display_interval;
> fi;# end if 2;
> found_h := -1.0;
> best_h := 0.0;
> min_value := glob_large_float;
> est_answer := est_size_answer();
> opt_iter := 1;
> while ((opt_iter <= 20) and (found_h < 0.0)) do # do number 2
> omniout_int(ALWAYS,"opt_iter",32,opt_iter,4,"");
> array_x[1] := x_start;
> array_x[2] := glob_h;
> glob_next_display := x_start;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 3
> array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 3;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 3
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 4
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 4;
> r_order := r_order + 1;
> od;# end do number 3
> ;
> atomall();
> est_needed_step_err := estimated_needed_step_error(x_start,x_end,glob_h,est_answer);
> omniout_float(ALWAYS,"est_needed_step_err",32,est_needed_step_err,16,"");
> value3 := test_suggested_h();
> omniout_float(ALWAYS,"value3",32,value3,32,"");
> if ((value3 < est_needed_step_err) and (found_h < 0.0)) then # if number 2
> best_h := glob_h;
> found_h := 1.0;
> fi;# end if 2;
> omniout_float(ALWAYS,"best_h",32,best_h,32,"");
> opt_iter := opt_iter + 1;
> glob_h := glob_h * 0.5;
> od;# end do number 2;
> if (found_h > 0.0) then # if number 2
> glob_h := best_h ;
> else
> omniout_str(ALWAYS,"No increment to obtain desired accuracy found");
> fi;# end if 2;
> #END OPTIMIZE CODE
> if (glob_html_log) then # if number 2
> html_log_file := fopen("html/entry.html",WRITE,TEXT);
> fi;# end if 2;
> #BEGIN SOLUTION CODE
> if (found_h > 0.0) then # if number 2
> omniout_str(ALWAYS,"START of Soultion");
> #Start Series -- INITIALIZE FOR SOLUTION
> array_x[1] := x_start;
> array_x[2] := glob_h;
> glob_next_display := x_start;
> 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] * expt(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]* expt(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();
> glob_log10normmin := -glob_large_float ;
> if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 3
> tmp := omniabs(array_y_higher[1,1]);
> log10norm := (log10(tmp));
> if (log10norm < glob_log10normmin) then # if number 4
> glob_log10normmin := log10norm;
> fi;# end if 4
> fi;# end if 3;
> 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 ((glob_check_sign * array_x[1]) < (glob_check_sign * x_end )) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2
> #left paren 0001C
> if (reached_interval()) then # if number 3
> omniout_str(INFO," ");
> omniout_str(INFO,"TOP MAIN SOLVE Loop");
> fi;# end if 3;
> 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 3
> #left paren 0004C
> check_for_pole();
> fi;# end if 3;#was right paren 0004C
> if (reached_interval()) then # if number 3
> glob_next_display := glob_next_display + glob_display_interval;
> fi;# end if 3;
> 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] / expt(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 * expt(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] / expt(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 * expt(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] / expt(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 * expt(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 3
> omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!");
> fi;# end if 3;
> if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 3
> omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!");
> fi;# end if 3;
> glob_clock_sec := elapsed_time_seconds();
> omniout_str(INFO,"diff ( y , x , 1 ) = arctan(sqrt(0.1 * x + 0.2));");
> omniout_int(INFO,"Iterations ",32,glob_iter,4," ")
> ;
> prog_report(x_start,x_end);
> if (glob_html_log) then # if number 3
> logstart(html_log_file);
> logitem_str(html_log_file,"2012-12-14T20:06:22-06:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"arctan_sqrt")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = arctan(sqrt(0.1 * x + 0.2));")
> ;
> 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_good_digits(html_log_file,array_last_rel_error[1])
> ;
> 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 4
> 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 4;
> logitem_time(html_log_file,convfloat(glob_clock_sec))
> ;
> if (glob_percent_done < 100.0) then # if number 4
> logitem_time(html_log_file,convfloat(glob_total_exp_sec))
> ;
> 0;
> else
> logitem_str(html_log_file,"Done")
> ;
> 0;
> fi;# end if 4;
> log_revs(html_log_file," 151 | ")
> ;
> logitem_str(html_log_file,"arctan_sqrt diffeq.mxt")
> ;
> logitem_str(html_log_file,"arctan_sqrt maple results")
> ;
> logitem_str(html_log_file,"Languages compared")
> ;
> logend(html_log_file)
> ;
> ;
> fi;# end if 3;
> if (glob_html_log) then # if number 3
> fclose(html_log_file);
> fi;# end if 3
> ;
> ;;
> fi;# end if 2
> #END OUTFILEMAIN
> end;
main := 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, subiter, est_needed_step_err, value3, min_value, est_answer, best_h,
found_h;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_a1, array_tmp4_a2,
array_tmp4, array_tmp5, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
glob_last;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
glob_iolevel := INFO;
glob_max_terms := 30;
glob_iolevel := 5;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
MAX_UNCHANGED := 10;
glob_check_sign := 1.0;
glob_desired_digits_correct := 8.0;
glob_max_value3 := 0.;
glob_ratio_of_radius := 0.01;
glob_percent_done := 0.;
glob_subiter_method := 3;
glob_log10normmin := 0.1;
glob_total_exp_sec := 0.1;
glob_optimal_expect_sec := 0.1;
glob_html_log := true;
glob_good_digits := 0;
glob_max_opt_iter := 10;
glob_dump := false;
glob_djd_debug := true;
glob_display_flag := true;
glob_djd_debug2 := true;
glob_sec_in_minute := 60;
glob_min_in_hour := 60;
glob_hours_in_day := 24;
glob_days_in_year := 365;
glob_sec_in_hour := 3600;
glob_sec_in_day := 86400;
glob_sec_in_year := 31536000;
glob_almost_1 := 0.9990;
glob_clock_sec := 0.;
glob_clock_start_sec := 0.;
glob_not_yet_finished := true;
glob_initial_pass := true;
glob_not_yet_start_msg := true;
glob_reached_optimal_h := false;
glob_optimal_done := false;
glob_disp_incr := 0.1;
glob_h := 0.1;
glob_hmax := 1.0;
glob_hmin := 0.1*10^(-10);
glob_hmin_init := 0.001;
glob_large_float := 0.90*10^101;
glob_last_good_h := 0.1;
glob_look_poles := false;
glob_neg_h := false;
glob_display_interval := 0.;
glob_next_display := 0.;
glob_dump_analytic := false;
glob_log10_abserr := 0.1*10^(-10);
glob_log10_relerr := 0.1*10^(-10);
glob_abserr := 0.1*10^(-10);
glob_relerr := 0.1*10^(-10);
glob_max_hours := 0.;
glob_max_iter := 1000;
glob_max_rel_trunc_err := 0.1*10^(-10);
glob_max_trunc_err := 0.1*10^(-10);
glob_no_eqs := 0;
glob_optimal_clock_start_sec := 0.;
glob_optimal_start := 0.;
glob_small_float := 0.1*10^(-50);
glob_smallish_float := 0.1*10^(-100);
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_max_sec := 10000.0;
glob_orig_start_sec := 0.;
glob_start := 0;
glob_curr_iter_when_opt := 0;
glob_current_iter := 0;
glob_iter := 0;
glob_normmax := 0.;
glob_log10abserr := 0.;
glob_log10relerr := 0.;
glob_max_minutes := 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/arctan_sqrtpostode.ode#################");
omniout_str(ALWAYS, "diff ( y , x , 1 ) = arctan(sqrt(0.1 * x + 0.2));")
;
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 := -1.0;");
omniout_str(ALWAYS, "x_end := 0.5 ;");
omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);");
omniout_str(ALWAYS, "glob_h := 0.05;");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 1000000;");
omniout_str(ALWAYS, "glob_display_interval := 0.1;");
omniout_str(ALWAYS, "glob_max_minutes := 10;");
omniout_str(ALWAYS, "#END SECOND INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK");
omniout_str(ALWAYS, "glob_desired_digits_correct:=10;");
omniout_str(ALWAYS, "glob_display_interval:=0.001;");
omniout_str(ALWAYS, "glob_look_poles:=true;");
omniout_str(ALWAYS, "glob_max_iter:=10000000;");
omniout_str(ALWAYS, "glob_max_minutes:=3;");
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, "return(10.0 * (0.1 * x + 0.2) * arctan(sqrt ( 0.\
1 * x + 0.2)) - 10.0 * sqrt( 0.1 * x +");
omniout_str(ALWAYS, "0.2) + 10.0 * arctan(sqrt( 0.1 * x + 0.2)));");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "#END USER DEF BLOCK");
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################");
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_small_float := 0.10*10^(-199);
glob_smallish_float := 0.10*10^(-63);
glob_large_float := 0.10*10^101;
glob_almost_1 := 0.99;
glob_log10_abserr := -8.0;
glob_log10_relerr := -8.0;
glob_hmax := 0.01;
Digits := 32;
max_terms := 30;
glob_max_terms := max_terms;
glob_html_log := true;
array_y_init := Array(0 .. max_terms + 1, []);
array_norms := Array(0 .. max_terms + 1, []);
array_fact_1 := Array(0 .. max_terms + 1, []);
array_pole := Array(0 .. max_terms + 1, []);
array_1st_rel_error := Array(0 .. max_terms + 1, []);
array_last_rel_error := Array(0 .. max_terms + 1, []);
array_type_pole := Array(0 .. max_terms + 1, []);
array_y := Array(0 .. max_terms + 1, []);
array_x := Array(0 .. max_terms + 1, []);
array_tmp0 := Array(0 .. max_terms + 1, []);
array_tmp1 := Array(0 .. max_terms + 1, []);
array_tmp2 := Array(0 .. max_terms + 1, []);
array_tmp3 := Array(0 .. max_terms + 1, []);
array_tmp4_a1 := Array(0 .. max_terms + 1, []);
array_tmp4_a2 := Array(0 .. max_terms + 1, []);
array_tmp4 := Array(0 .. max_terms + 1, []);
array_tmp5 := Array(0 .. max_terms + 1, []);
array_m1 := Array(0 .. max_terms + 1, []);
array_y_higher := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_set_initial := Array(0 .. 3, 0 .. max_terms + 1, []);
array_poles := Array(0 .. 2, 0 .. 4, []);
array_real_pole := Array(0 .. 2, 0 .. 4, []);
array_complex_pole := Array(0 .. 2, 0 .. 4, []);
array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []);
term := 1;
while term <= max_terms do array_y_init[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_norms[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_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_1st_rel_error[term] := 0.; term := term + 1
end do;
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_type_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_y[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_x[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_tmp0[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4_a1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4_a2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp5[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_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_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do array_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 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 <= 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 <= 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;
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_x := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1
end do;
array_tmp0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1
end do;
array_tmp1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1
end do;
array_tmp2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1
end do;
array_tmp3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1
end do;
array_tmp4_a1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp4_a1[term] := 0.; term := term + 1
end do;
array_tmp4_a2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp4_a2[term] := 0.; term := term + 1
end do;
array_tmp4 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1
end do;
array_tmp5 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp5[term] := 0.; term := term + 1
end do;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1
end do;
array_const_1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1[term] := 0.; term := term + 1
end do;
array_const_1[1] := 1;
array_const_0D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D0[term] := 0.; term := term + 1
end do;
array_const_0D0[1] := 0.;
array_const_0D1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D1[term] := 0.; term := term + 1
end do;
array_const_0D1[1] := 0.1;
array_const_0D2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D2[term] := 0.; term := term + 1
end do;
array_const_0D2[1] := 0.2;
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 := -1.0;
x_end := 0.5;
array_y_init[1] := exact_soln_y(x_start);
glob_h := 0.05;
glob_look_poles := true;
glob_max_iter := 1000000;
glob_display_interval := 0.1;
glob_max_minutes := 10;
glob_desired_digits_correct := 10;
glob_display_interval := 0.001;
glob_look_poles := true;
glob_max_iter := 10000000;
glob_max_minutes := 3;
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 := expt(10.0, glob_log10_abserr);
glob_relerr := expt(10.0, glob_log10_relerr);
if 0. < glob_h then
glob_neg_h := false;
glob_display_interval := omniabs(glob_display_interval)
else
glob_neg_h := true;
glob_display_interval := -omniabs(glob_display_interval)
end if;
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;
omniout_str(ALWAYS, "START of Optimize");
glob_check_sign := check_sign(x_start, x_end);
glob_h := check_sign(x_start, x_end);
if glob_display_interval < glob_h then glob_h := glob_display_interval
end if;
found_h := -1.0;
best_h := 0.;
min_value := glob_large_float;
est_answer := est_size_answer();
opt_iter := 1;
while opt_iter <= 20 and found_h < 0. do
omniout_int(ALWAYS, "opt_iter", 32, opt_iter, 4, "");
array_x[1] := x_start;
array_x[2] := glob_h;
glob_next_display := x_start;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*
expt(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]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
atomall();
est_needed_step_err :=
estimated_needed_step_error(x_start, x_end, glob_h, est_answer)
;
omniout_float(ALWAYS, "est_needed_step_err", 32,
est_needed_step_err, 16, "");
value3 := test_suggested_h();
omniout_float(ALWAYS, "value3", 32, value3, 32, "");
if value3 < est_needed_step_err and found_h < 0. then
best_h := glob_h; found_h := 1.0
end if;
omniout_float(ALWAYS, "best_h", 32, best_h, 32, "");
opt_iter := opt_iter + 1;
glob_h := glob_h*0.5
end do;
if 0. < found_h then glob_h := best_h
else omniout_str(ALWAYS,
"No increment to obtain desired accuracy found")
end if;
if glob_html_log then
html_log_file := fopen("html/entry.html", WRITE, TEXT)
end if;
if 0. < found_h then
omniout_str(ALWAYS, "START of Soultion");
array_x[1] := x_start;
array_x[2] := glob_h;
glob_next_display := x_start;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*
expt(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]*
expt(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();
glob_log10normmin := -glob_large_float;
if glob_small_float < omniabs(array_y_higher[1, 1]) then
tmp := omniabs(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
glob_check_sign*array_x[1] < glob_check_sign*x_end and
convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
convfloat(glob_max_sec) do
if reached_interval() then
omniout_str(INFO, " ");
omniout_str(INFO, "TOP MAIN SOLVE Loop")
end if;
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;
if reached_interval() then glob_next_display :=
glob_next_display + glob_display_interval
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]/(
expt(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*
expt(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]/(
expt(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*
expt(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]/(
expt(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*
expt(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 ) = arctan(sqrt(0.1 * x + 0.2));");
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, "2012-12-14T20:06:22-06:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file,
"arctan_sqrt");
logitem_str(html_log_file,
"diff ( y , x , 1 ) = arctan(sqrt(0.1 * x + 0.2));");
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_good_digits(html_log_file, array_last_rel_error[1]);
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_total_exp_sec));
0
else logitem_str(html_log_file, "Done"); 0
end if;
log_revs(html_log_file, " 151 | ");
logitem_str(html_log_file, "arctan_sqrt diffeq.mxt");
logitem_str(html_log_file, "arctan_sqrt maple results");
logitem_str(html_log_file, "Languages compared");
logend(html_log_file)
end if;
if glob_html_log then fclose(html_log_file) end if
end if
end proc
> # End Function number 12
> main();
##############ECHO OF PROBLEM#################
##############temp/arctan_sqrtpostode.ode#################
diff ( y , x , 1 ) = arctan(sqrt(0.1 * x + 0.2));
!
#BEGIN FIRST INPUT BLOCK
Digits:=32;
max_terms:=30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := -1.0;
x_end := 0.5 ;
array_y_init[0 + 1] := exact_soln_y(x_start);
glob_h := 0.05;
glob_look_poles := true;
glob_max_iter := 1000000;
glob_display_interval := 0.1;
glob_max_minutes := 10;
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE BLOCK
glob_desired_digits_correct:=10;
glob_display_interval:=0.001;
glob_look_poles:=true;
glob_max_iter:=10000000;
glob_max_minutes:=3;
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
exact_soln_y := proc(x)
return(10.0 * (0.1 * x + 0.2) * arctan(sqrt ( 0.1 * x + 0.2)) - 10.0 * sqrt( 0.1 * x +
0.2) + 10.0 * arctan(sqrt( 0.1 * x + 0.2)));
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Optimize
min_size = 0
min_size = 1
opt_iter = 1
glob_desired_digits_correct = 10
desired_abs_gbl_error = 1.0000000000000000000000000000000e-10
range = 1.5
estimated_steps = 1500
step_error = 6.6666666666666666666666666666667e-14
est_needed_step_err = 6.6666666666666666666666666666667e-14
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
value3 = 1.8870258512801073688972422074549e-80
max_value3 = 1.8870258512801073688972422074549e-80
value3 = 1.8870258512801073688972422074549e-80
best_h = 0.001
START of Soultion
x[1] = -1
y[1] (analytic) = 0.2067734006979846849057268715274
y[1] (numeric) = 0.2067734006979846849057268715274
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
memory used=3.8MB, alloc=2.8MB, time=0.35
NO POLE
x[1] = -0.999
y[1] (analytic) = 0.2070797499229501075344758546729
y[1] (numeric) = 0.20707974992295010758564370832388
absolute error = 5.116785365098e-20
relative error = 2.4709250262287090242348392762652e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.998
y[1] (analytic) = 0.2073862428029437833045884991429
y[1] (numeric) = 0.2073862428029437834066954570832
absolute error = 1.0210695794030e-19
relative error = 4.9235164570352408855825654570679e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.997
y[1] (analytic) = 0.2076928792532129962911577127965
y[1] (numeric) = 0.20769287925321299644397627608183
absolute error = 1.5281856328533e-19
relative error = 7.3579105761742626552185080965685e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
memory used=7.6MB, alloc=3.8MB, time=0.72
NO POLE
x[1] = -0.996
y[1] (analytic) = 0.2079996591891276746425497638327
y[1] (numeric) = 0.20799965918912767484585367586031
absolute error = 2.0330391202761e-19
relative error = 9.7742425550203437313171177941386e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.995
y[1] (analytic) = 0.208306582526180090073135508827
y[1] (numeric) = 0.20830658252618009032669974732019
absolute error = 2.5356423849319e-19
relative error = 1.2172646462639840098090297534549e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.994
y[1] (analytic) = 0.20861364917998455839549327467
y[1] (numeric) = 0.20861364917998455869909404372229
absolute error = 3.0360076905229e-19
relative error = 1.4553255275753978954543561025620e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=4.0MB, time=1.10
NO POLE
x[1] = -0.993
y[1] (analytic) = 0.2089208590662771410874493640618
y[1] (numeric) = 0.20892085906627714144086408623997
absolute error = 3.5341472217817e-19
relative error = 1.6916200888588834334839497887166e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.992
y[1] (analytic) = 0.2092282121009153478893474146585
y[1] (numeric) = 0.20922821210091534829235472316496
absolute error = 4.0300730850646e-19
relative error = 1.9261614122672938149947451431357e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.991
y[1] (analytic) = 0.2095357081998778404269629397281
y[1] (numeric) = 0.20953570819987784087934267062054
absolute error = 4.5237973089244e-19
relative error = 2.1589624736463116024344707319660e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
memory used=15.2MB, alloc=4.1MB, time=1.48
NO POLE
x[1] = -0.99
y[1] (analytic) = 0.2098433472792641368555043144456
y[1] (numeric) = 0.20984334727926413735703749891468
absolute error = 5.0153318446908e-19
relative error = 2.3900361434934061518464803979131e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.989
y[1] (analytic) = 0.2101511292552943175201662479586
y[1] (numeric) = 0.21015112925529431807063510466296
absolute error = 5.5046885670436e-19
relative error = 2.6193951879061439312462287944922e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.988
y[1] (analytic) = 0.2104590540443087316287263982577
y[1] (numeric) = 0.2104590540443087322279143257156
absolute error = 5.9918792745790e-19
relative error = 2.8470522695200878602109368449350e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
memory used=19.0MB, alloc=4.1MB, time=1.87
NO POLE
x[1] = -0.987
y[1] (analytic) = 0.2107671215627677049317002458756
y[1] (numeric) = 0.21076712156276770557939181491241
absolute error = 6.4769156903681e-19
relative error = 3.0730199484359499146423726779440e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.986
y[1] (analytic) = 0.2110753317272512484055936446807
y[1] (numeric) = 0.21107533172725124910157459093258
absolute error = 6.9598094625188e-19
relative error = 3.2973106831413979367599216623130e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.985
y[1] (analytic) = 0.2113836844544587679348166146883
y[1] (numeric) = 0.21138368445445876867887383116123
absolute error = 7.4405721647293e-19
relative error = 3.5199368314219741027107246362004e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
memory used=22.8MB, alloc=4.1MB, time=2.25
NO POLE
x[1] = -0.984
y[1] (analytic) = 0.211692179661208774987845934027
y[1] (numeric) = 0.21169217966120877577976746371004
absolute error = 7.9192152968304e-19
relative error = 3.7409106512598986991458831805410e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.983
y[1] (analytic) = 0.212000817264438598283247926111
y[1] (numeric) = 0.21200081726443859912282295464434
absolute error = 8.3957502853334e-19
relative error = 3.9602443017287926206039956809089e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.982
y[1] (analytic) = 0.2123095971812040964411965248165
y[1] (numeric) = 0.21230959718120409732821537321351
absolute error = 8.8701884839701e-19
relative error = 4.1779498438779871715523592101334e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
memory used=26.7MB, alloc=4.2MB, time=2.64
NO POLE
x[1] = -0.981
y[1] (analytic) = 0.2126185193286793716161452361524
y[1] (numeric) = 0.21261851932867937255039935357503
absolute error = 9.3425411742263e-19
relative error = 4.3940392416071713076501655028899e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.98
y[1] (analytic) = 0.2129275836241564841063350006698
y[1] (numeric) = 0.2129275836241564850876169572566
absolute error = 9.8128195658680e-19
relative error = 4.6085243625310847442635431790812e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.979
y[1] (analytic) = 0.213236789985045167935843197769
y[1] (numeric) = 0.21323678998504516896394667751626
absolute error = 1.02810347974726e-18
relative error = 4.8214169788401123522344719720899e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
memory used=30.5MB, alloc=4.2MB, time=3.02
NO POLE
x[1] = -0.978
y[1] (analytic) = 0.2135461383288725474049021222354
y[1] (numeric) = 0.21354613832887254847962191593034
absolute error = 1.07471979369494e-18
relative error = 5.0327287681494556910261400811178e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.977
y[1] (analytic) = 0.2138556285732828546042382058406
y[1] (numeric) = 0.21385562857328285572537020404631
absolute error = 1.12113199820571e-18
relative error = 5.2424713143405843859016756579092e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.976
y[1] (analytic) = 0.214165260636037147889206053766
y[1] (numeric) = 0.21416526063603714905654723985672
absolute error = 1.16734118609072e-18
relative error = 5.4506561083898491972733633093861e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
memory used=34.3MB, alloc=4.2MB, time=3.42
NO POLE
x[1] = -0.975
y[1] (analytic) = 0.2144750344350130313095140179977
y[1] (numeric) = 0.21447503443501303252286246124666
absolute error = 1.21334844324896e-18
relative error = 5.6572945492012984091246377095407e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.974
y[1] (analytic) = 0.2147849498882043749903605387811
y[1] (numeric) = 0.21478494988820437624951538749738
absolute error = 1.25915484871628e-18
relative error = 5.8623979444168245598739786927409e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.973
y[1] (analytic) = 0.2150950069137210364608228517244
y[1] (numeric) = 0.21509500691372103776558432644037
absolute error = 1.30476147471597e-18
relative error = 6.0659775112275676976577696848807e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
memory used=38.1MB, alloc=4.2MB, time=3.81
NO POLE
x[1] = -0.972
y[1] (analytic) = 0.2154052054297885829253618832804
y[1] (numeric) = 0.21540520542978858427553126998868
absolute error = 1.35016938670828e-18
relative error = 6.2680443771743867072336428501400e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.971
y[1] (analytic) = 0.2157155453547480144743292421167
y[1] (numeric) = 0.21571554535474801586970888555636
absolute error = 1.39537964343966e-18
relative error = 6.4686095809411120313629579910241e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.97
y[1] (analytic) = 0.2160260266070554882293841593425
y[1] (numeric) = 0.21602602660705548966977745633399
absolute error = 1.44039329699149e-18
relative error = 6.6676840731395752733097369224842e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
memory used=41.9MB, alloc=4.2MB, time=4.23
NO POLE
x[1] = -0.969
y[1] (analytic) = 0.2163366491052820434197500377044
y[1] (numeric) = 0.21633664910528204490496143053292
absolute error = 1.48521139282852e-18
relative error = 6.8652787170875029501770071296988e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.968
y[1] (analytic) = 0.2166474127681133273852619397008
y[1] (numeric) = 0.21664741276811332891509690954756
absolute error = 1.52983496984676e-18
relative error = 7.0614042895781337795051893929791e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.967
y[1] (analytic) = 0.2169583175143493225021778780903
y[1] (numeric) = 0.21695831751434932407644293851127
absolute error = 1.57426506042097e-18
relative error = 7.2560714816423218723156748978007e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
memory used=45.7MB, alloc=4.2MB, time=4.64
NO POLE
x[1] = -0.966
y[1] (analytic) = 0.2172693632629040740277481704734
y[1] (numeric) = 0.21726936326290407564625086092588
absolute error = 1.61850269045248e-18
relative error = 7.4492908993065491426625127157616e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.965
y[1] (analytic) = 0.2175805499328054188595583834929
y[1] (numeric) = 0.21758054993280542052210726290804
absolute error = 1.66254887941514e-18
relative error = 7.6410730643367649545036062139638e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.964
y[1] (analytic) = 0.2178918774431947152056825226883
y[1] (numeric) = 0.21789187744319471691208716309069
absolute error = 1.70640464040239e-18
relative error = 7.8314284149819055162318175905676e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
memory used=49.5MB, alloc=4.3MB, time=5.05
NO POLE
x[1] = -0.963
y[1] (analytic) = 0.2182033457133265731617041221357
y[1] (numeric) = 0.21820334571332657491177510230872
absolute error = 1.75007098017302e-18
relative error = 8.0203673067059484061038544126002e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.962
y[1] (analytic) = 0.2185149546625685861906837546453
y[1] (numeric) = 0.21851495466256858798423265384217
absolute error = 1.79354889919687e-18
relative error = 8.2079000129143257300773120985740e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.961
y[1] (analytic) = 0.2188267042104010635021722194358
y[1] (numeric) = 0.21882670421040106533901161113609
absolute error = 1.83683939170029e-18
relative error = 8.3940367256739184164740520939405e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
memory used=53.4MB, alloc=4.3MB, time=5.45
NO POLE
x[1] = -0.96
y[1] (analytic) = 0.2191385942764167633263892707943
y[1] (numeric) = 0.21913859427641676520633271650535
absolute error = 1.87994344571105e-18
relative error = 8.5787875564252698928433520476910e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.959
y[1] (analytic) = 0.2194506247803206270797082291957
y[1] (numeric) = 0.21945062478032062900257027229811
absolute error = 1.92286204310241e-18
relative error = 8.7621625366857641507505467662197e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.958
y[1] (analytic) = 0.2197627956419295144176071666216
y[1] (numeric) = 0.2197627956419295163832033262599
absolute error = 1.96559615963830e-18
relative error = 8.9441716187527204316195683608225e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
memory used=57.2MB, alloc=4.3MB, time=5.84
NO POLE
x[1] = -0.957
y[1] (analytic) = 0.2200751067811719391712675813125
y[1] (numeric) = 0.22007510678117194117941434632887
absolute error = 2.00814676501637e-18
relative error = 9.1248246763916724545177910900346e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.956
y[1] (analytic) = 0.2203875581180878061640215748019
y[1] (numeric) = 0.22038755811808780821453639771335
absolute error = 2.05051482291145e-18
relative error = 9.3041315055214937417266160574145e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.955
y[1] (analytic) = 0.2207001495728281489038685167387
y[1] (numeric) = 0.22070014957282815099656980775818
absolute error = 2.09270129101948e-18
relative error = 9.4821018248966617776341040463040e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
memory used=61.0MB, alloc=4.3MB, time=6.25
NO POLE
x[1] = -0.954
y[1] (analytic) = 0.2210128810656548681483020315935
y[1] (numeric) = 0.22101288106565487028300915269297
absolute error = 2.13470712109947e-18
relative error = 9.6587452767756389383262254868239e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.953
y[1] (analytic) = 0.2213257525169404713377078667457
y[1] (numeric) = 0.22132575251694047351424112576179
absolute error = 2.17653325901609e-18
relative error = 9.8340714275872447100252664803866e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.952
y[1] (analytic) = 0.2216387638471678128936128045597
y[1] (numeric) = 0.22163876384716781511179344934213
absolute error = 2.21818064478243e-18
relative error = 1.0008089768592953568767950758377e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=64.8MB, alloc=4.3MB, time=6.64
NO POLE
x[1] = -0.951
y[1] (analytic) = 0.2219519149769298353780842627441
y[1] (numeric) = 0.22195191497692983763773447534467
absolute error = 2.25965021260057e-18
relative error = 1.0180809716534515848375764511891e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.95
y[1] (analytic) = 0.222265205826929311510599588409
y[1] (numeric) = 0.22226520582692931381154247931314
absolute error = 2.30094289090414e-18
relative error = 1.0352240614285842879620052962119e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.949
y[1] (analytic) = 0.2225786363179785870387232926754
y[1] (numeric) = 0.22257863631797858938078289507447
absolute error = 2.34205960239907e-18
relative error = 1.0522391731492032078731125763493e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=68.6MB, alloc=4.3MB, time=7.04
NO POLE
x[1] = -0.948
y[1] (analytic) = 0.2228922063709993244589495952741
y[1] (numeric) = 0.22289220637099932684195085937771
absolute error = 2.38300126410361e-18
relative error = 1.0691272265200494323269037063245e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.947
y[1] (analytic) = 0.2232059159070222475840866531623
y[1] (numeric) = 0.22320591590702225000785544055217
absolute error = 2.42376878738987e-18
relative error = 1.0858891340494332195781886966997e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.946
y[1] (analytic) = 0.2235197648471868869535777346271
y[1] (numeric) = 0.22351976484718688941794081265032
absolute error = 2.46436307802322e-18
relative error = 1.1025258011111563215977629622715e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=72.4MB, alloc=4.3MB, time=7.57
NO POLE
x[1] = -0.945
y[1] (analytic) = 0.2238337531127413260831733714501
y[1] (numeric) = 0.22383375311274132858795840765242
absolute error = 2.50478503620232e-18
relative error = 1.1190381260062692945885777186332e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.944
y[1] (analytic) = 0.2241478806250419485503871773253
y[1] (numeric) = 0.22414788062504195109542273392371
absolute error = 2.54503555659841e-18
relative error = 1.1354270000240532967264522821099e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.943
y[1] (analytic) = 0.2244621473055531859121865616562
y[1] (numeric) = 0.22446214730555318849730209005083
absolute error = 2.58511552839463e-18
relative error = 1.1516933075025761056221400081726e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=76.2MB, alloc=4.3MB, time=7.95
NO POLE
x[1] = -0.942
y[1] (analytic) = 0.2247765530758472664513879949302
y[1] (numeric) = 0.22477655307584726907641383025482
absolute error = 2.62502583532462e-18
relative error = 1.1678379258884919623404815004137e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.941
y[1] (analytic) = 0.2250910978576039647482447958791
y[1] (numeric) = 0.22509109785760396741301215159043
absolute error = 2.66476735571133e-18
relative error = 1.1838617257965049157107175659343e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.94
y[1] (analytic) = 0.2254057815726103520737336123899
y[1] (numeric) = 0.22540578157261035477807457489488
absolute error = 2.70434096250498e-18
relative error = 1.1997655710680278157763510372728e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=80.1MB, alloc=4.3MB, time=8.34
NO POLE
x[1] = -0.939
y[1] (analytic) = 0.2257206041427605476010638584168
y[1] (numeric) = 0.22572060414276055034481138173786
absolute error = 2.74374752332106e-18
relative error = 1.2155503188294382326181513915908e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.938
y[1] (analytic) = 0.2260355654900554704319523487571
y[1] (numeric) = 0.22603556549005547321494024923526
absolute error = 2.78298790047816e-18
relative error = 1.2312168195498414698225487349604e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.937
y[1] (analytic) = 0.2263506655366025924342232432683
y[1] (numeric) = 0.22635066553660259525628619430284
absolute error = 2.82206295103454e-18
relative error = 1.2467659170978630733276388521884e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=83.9MB, alloc=4.3MB, time=8.74
NO POLE
x[1] = -0.936
y[1] (analytic) = 0.2266659042046156918873111726918
y[1] (numeric) = 0.22666590420461569474828469951773
absolute error = 2.86097352682593e-18
relative error = 1.2621984487985779771270233110117e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.935
y[1] (analytic) = 0.2269812814164146079322630704912
y[1] (numeric) = 0.22698128141641461083198354499331
absolute error = 2.89972047450211e-18
relative error = 1.2775152454894947479039174008524e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.934
y[1] (analytic) = 0.227296797094424995822851779757
y[1] (numeric) = 0.22729679709442499876115641531958
absolute error = 2.93830463556258e-18
relative error = 1.2927171315757396715574124300239e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=87.7MB, alloc=4.3MB, time=9.14
NO POLE
x[1] = -0.933
y[1] (analytic) = 0.2276124511611780829744319420385
y[1] (numeric) = 0.22761245116117808595115878843239
absolute error = 2.97672684639389e-18
relative error = 1.3078049250855767519949344084477e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.932
y[1] (analytic) = 0.2279282435393104258071860066971
y[1] (numeric) = 0.22792824353931042882217394500132
absolute error = 3.01498793830422e-18
relative error = 1.3227794377243247480826864233573e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.931
y[1] (analytic) = 0.228244174151563667380425425752
y[1] (numeric) = 0.22824417415156367043351416331211
absolute error = 3.05308873756011e-18
relative error = 1.3376414749288328052554134783842e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=91.5MB, alloc=4.3MB, time=9.56
NO POLE
x[1] = -0.93
y[1] (analytic) = 0.2285602429207842958146292209825
y[1] (numeric) = 0.22856024292078429890565928640318
absolute error = 3.09103006542068e-18
relative error = 1.3523918359204696488574630164633e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.929
y[1] (analytic) = 0.2288764497699234034979191279566
y[1] (numeric) = 0.22887644976992340662673186613006
absolute error = 3.12881273817346e-18
relative error = 1.3670313137584400316472495220631e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.928
y[1] (analytic) = 0.2291927946220364470736874364342
y[1] (numeric) = 0.22919279462203645024012500360279
absolute error = 3.16643756716859e-18
relative error = 1.3815606953920108571201441365119e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=95.3MB, alloc=4.3MB, time=9.96
x[1] = -0.927
y[1] (analytic) = 0.2295092774002830082061104589372
y[1] (numeric) = 0.22950927740028301141001581779051
absolute error = 3.20390535885331e-18
relative error = 1.3959807617124933093831571412957e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.926
y[1] (analytic) = 0.2298258980279265551202972699237
y[1] (numeric) = 0.22982589802792655836151418473028
absolute error = 3.24121691480658e-18
relative error = 1.4102922876049129793652378872385e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.925
y[1] (analytic) = 0.2301426564283342049138399676501
y[1] (numeric) = 0.23014265642833420819221299942232
absolute error = 3.27837303177222e-18
relative error = 1.4244960419986706873131220192133e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.924
y[1] (analytic) = 0.2304595525249764866365482201533
y[1] (numeric) = 0.23045955252497648995192272184642
memory used=99.1MB, alloc=4.3MB, time=10.35
absolute error = 3.31537450169312e-18
relative error = 1.4385927879183094675892147962247e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.923
y[1] (analytic) = 0.230776586241427105135167266547
y[1] (numeric) = 0.23077658624142710848738937829159
absolute error = 3.35222211174459e-18
relative error = 1.4525832825335496692467160695762e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.922
y[1] (analytic) = 0.2310937575013627056598948556798
y[1] (numeric) = 0.23109375750136270904881150004701
absolute error = 3.38891664436721e-18
relative error = 1.4664682772087542666685463036333e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.921
y[1] (analytic) = 0.231411066228562639229528816844
y[1] (numeric) = 0.23141106622856264265498769414357
absolute error = 3.42545887729957e-18
relative error = 1.4802485175519976737530689266880e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=103.0MB, alloc=4.3MB, time=10.74
NO POLE
x[1] = -0.92
y[1] (analytic) = 0.2317285123469087287520930723332
y[1] (numeric) = 0.23172851234690873221394265594449
absolute error = 3.46184958361129e-18
relative error = 1.4939247434639094665814727317401e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.919
y[1] (analytic) = 0.2320460957803850358978059199017
y[1] (numeric) = 0.23204609578038503939589545163687
absolute error = 3.49808953173517e-18
relative error = 1.5074976891857988892632770342900e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.918
y[1] (analytic) = 0.2323638164530776287212703352462
y[1] (numeric) = 0.2323638164530776322554498207454
absolute error = 3.53417948549920e-18
relative error = 1.5209680833473805036677198570799e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=106.8MB, alloc=4.3MB, time=11.10
NO POLE
x[1] = -0.917
y[1] (analytic) = 0.2326816742891743500297818711821
y[1] (numeric) = 0.23268167428917435359990207534021
absolute error = 3.57012020415811e-18
relative error = 1.5343366490139665953860751939863e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.916
y[1] (analytic) = 0.2329996692129645864946654618794
y[1] (numeric) = 0.23299966921296459010057790430485
absolute error = 3.60591244242545e-18
relative error = 1.5476041037335556557847984182244e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.915
y[1] (analytic) = 0.2333178011488390385025680780174
y[1] (numeric) = 0.23331780114883904214412502852215
absolute error = 3.64155695050475e-18
relative error = 1.5607711595831958029001777444062e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=110.6MB, alloc=4.3MB, time=11.49
NO POLE
x[1] = -0.914
y[1] (analytic) = 0.2336360700212894907436497226564
y[1] (numeric) = 0.23363607002128949442070419677699
absolute error = 3.67705447412059e-18
relative error = 1.5738385232149846525325273408981e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.913
y[1] (analytic) = 0.2339544757549085835336307086611
y[1] (numeric) = 0.23395447575490858724603646321028
absolute error = 3.71240575454918e-18
relative error = 1.5868068959015374844767254043935e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.912
y[1] (analytic) = 0.2342730182743895848666685172793
y[1] (numeric) = 0.23427301827438958861428004592861
absolute error = 3.74761152864931e-18
relative error = 1.5996769735812952189750667055679e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=114.4MB, alloc=4.3MB, time=11.89
NO POLE
x[1] = -0.911
y[1] (analytic) = 0.234591697504526163196052804622
y[1] (numeric) = 0.23459169750452616697872533351468
absolute error = 3.78267252889268e-18
relative error = 1.6124494469032510865305913222946e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.91
y[1] (analytic) = 0.2349105133702121609397222989308
y[1] (numeric) = 0.23491051337021216475731178232461
absolute error = 3.81758948339381e-18
relative error = 1.6251250012711860259835423939257e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.909
y[1] (analytic) = 0.2352294657964413687076224172856
y[1] (numeric) = 0.23522946579644137255998553322566
absolute error = 3.85236311594006e-18
relative error = 1.6377043168876421681255980487328e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=118.2MB, alloc=4.3MB, time=12.28
NO POLE
x[1] = -0.908
y[1] (analytic) = 0.235548554708307300247937426421
y[1] (numeric) = 0.2355485547083073041349315724424
absolute error = 3.88699414602140e-18
relative error = 1.6501880687974834440660453897356e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.907
y[1] (analytic) = 0.2358677800310029681092458791968
y[1] (numeric) = 0.23586778003100297203072916805633
absolute error = 3.92148328885953e-18
relative error = 1.6625769269308770386323812554833e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.906
y[1] (analytic) = 0.2361871416898206600156628766176
y[1] (numeric) = 0.236187141689820663971494132055
absolute error = 3.95583125543740e-18
relative error = 1.6748715561461451353856973937383e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=122.0MB, alloc=4.3MB, time=12.67
NO POLE
x[1] = -0.905
y[1] (analytic) = 0.2365066396101517159520474357299
y[1] (numeric) = 0.236506639610151719942086188258
absolute error = 3.99003875252810e-18
relative error = 1.6870726162720520849560479170430e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.904
y[1] (analytic) = 0.2368262737174863059563678868364
y[1] (numeric) = 0.23682627371748630998047436955999
absolute error = 4.02410648272359e-18
relative error = 1.6991807621497302024976946093005e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.903
y[1] (analytic) = 0.23714604393741320861633277986
y[1] (numeric) = 0.23714604393741321267436792432275
absolute error = 4.05803514446275e-18
relative error = 1.7111966436740277537754663389833e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=125.8MB, alloc=4.3MB, time=13.05
NO POLE
x[1] = -0.902
y[1] (analytic) = 0.2374659501956195902674092499502
y[1] (numeric) = 0.23746595019561959435923468201112
absolute error = 4.09182543206092e-18
relative error = 1.7231209058351978227586377134918e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.901
y[1] (analytic) = 0.2377859924178907848893651771527
y[1] (numeric) = 0.23778599241789078901484321288928
absolute error = 4.12547803573658e-18
relative error = 1.7349541887590949104872838820905e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.9
y[1] (analytic) = 0.2381061705301100746984857747175
y[1] (numeric) = 0.23810617053011007885747941635759
absolute error = 4.15899364164009e-18
relative error = 1.7466971277479590517704722949646e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=129.7MB, alloc=4.3MB, time=13.44
NO POLE
x[1] = -0.899
y[1] (analytic) = 0.2384264844582584714326294560137
y[1] (numeric) = 0.2384264844582584756250023878947
absolute error = 4.19237293188100e-18
relative error = 1.7583503533203176155733073655297e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.898
y[1] (analytic) = 0.2387469341284144983263019615931
y[1] (numeric) = 0.23874693412841450255191854614906
absolute error = 4.22561658455596e-18
relative error = 1.7699144912508628007158763807706e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.897
y[1] (analytic) = 0.2390675194667539727729417762933
y[1] (numeric) = 0.23906751946675397703166705006829
absolute error = 4.25872527377499e-18
relative error = 1.7813901626093675424951431339103e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=133.5MB, alloc=4.3MB, time=13.83
NO POLE
x[1] = -0.896
y[1] (analytic) = 0.2393882403995497896716238319398
y[1] (numeric) = 0.23938824039954979396332350162935
absolute error = 4.29169966968955e-18
relative error = 1.7927779838000853076356552763622e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.895
y[1] (analytic) = 0.2397090968531717054554023747796
y[1] (numeric) = 0.23970909685317170977994281329838
absolute error = 4.32454043851878e-18
relative error = 1.8040785666001143843045601157713e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.894
y[1] (analytic) = 0.2400300887540861227985276787864
y[1] (numeric) = 0.2400300887540861271557759213628
absolute error = 4.35724824257640e-18
relative error = 1.8152925181977732025289490199022e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=137.3MB, alloc=4.3MB, time=14.22
NO POLE
x[1] = -0.893
y[1] (analytic) = 0.2403512160288558759997850069963
y[1] (numeric) = 0.24035121602885588038960874729288
absolute error = 4.38982374029658e-18
relative error = 1.8264204412302829298953342343261e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.892
y[1] (analytic) = 0.2406724786041400170392178635922
y[1] (numeric) = 0.24067247860414002146148544985324
absolute error = 4.42226758626104e-18
relative error = 1.8374629338217023379466990982226e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.891
y[1] (analytic) = 0.2409938764066936023055111401168
y[1] (numeric) = 0.24099387640669360676009157134079
absolute error = 4.45458043122399e-18
relative error = 1.8484205896197054062564026166400e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=141.1MB, alloc=4.3MB, time=14.60
NO POLE
x[1] = -0.89
y[1] (analytic) = 0.2413154093633674799913232404755
y[1] (numeric) = 0.24131540936336748447808616261448
absolute error = 4.48676292213898e-18
relative error = 1.8592939978328985425231044504591e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.889
y[1] (analytic) = 0.2416370774011080781538696718561
y[1] (numeric) = 0.24163707740110808267268537403969
absolute error = 4.51881570218359e-18
relative error = 1.8700837432669875565138706277137e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.888
y[1] (analytic) = 0.2419588804469571934380739128416
y[1] (numeric) = 0.24195888044695719798881332362729
absolute error = 4.55073941078569e-18
relative error = 1.8807904063613461862919771835777e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=144.9MB, alloc=4.3MB, time=14.98
NO POLE
x[1] = -0.887
y[1] (analytic) = 0.242280818428051780459614616385
y[1] (numeric) = 0.24228081842805178504214930003277
absolute error = 4.58253468364777e-18
relative error = 1.8914145632245373574085112490554e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.886
y[1] (analytic) = 0.2426028912716237418452113744444
y[1] (numeric) = 0.24260289127162374645941352721721
absolute error = 4.61420215277281e-18
relative error = 1.9019567856702267453538396216332e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.885
y[1] (analytic) = 0.2429250989049997189275043634906
y[1] (numeric) = 0.24292509890499972357324680997902
absolute error = 4.64574244648842e-18
relative error = 1.9124176412521384356704626779383e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=148.7MB, alloc=4.3MB, time=15.37
NO POLE
x[1] = -0.884
y[1] (analytic) = 0.2432474412556008830918962062871
y[1] (numeric) = 0.24324744125560088776905239575931
absolute error = 4.67715618947221e-18
relative error = 1.9227976932992779627459413066874e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.883
y[1] (analytic) = 0.2435699182509427277727373258401
y[1] (numeric) = 0.24356991825094273248118132861539
absolute error = 4.70844400277529e-18
relative error = 1.9330975009501470541239350161243e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.882
y[1] (analytic) = 0.2438925298186348610962489327072
y[1] (numeric) = 0.24389252981863486583585543655492
absolute error = 4.73960650384772e-18
relative error = 1.9433176191875252183330597764970e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=152.5MB, alloc=4.3MB, time=15.75
NO POLE
x[1] = -0.881
y[1] (analytic) = 0.2442152758863807991675905774693
y[1] (numeric) = 0.24421527588638080393823488403075
absolute error = 4.77064430656145e-18
relative error = 1.9534585988719862260501399660171e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.88
y[1] (analytic) = 0.2445381563819777599994919165791
y[1] (numeric) = 0.24453815638197776480104993781422
absolute error = 4.80155802123512e-18
relative error = 1.9635209867759477656293911166479e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.879
y[1] (analytic) = 0.2448611712333164580798809825316
y[1] (numeric) = 0.2448611712333164629122292371887
absolute error = 4.83234825465710e-18
relative error = 1.9735053256167705226947268491354e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=156.4MB, alloc=4.3MB, time=16.13
NO POLE
x[1] = -0.878
y[1] (analytic) = 0.2451843203683808995759538188184
y[1] (numeric) = 0.24518432036838090443896942892793
absolute error = 4.86301561010953e-18
relative error = 1.9834121540900406944719404470272e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.877
y[1] (analytic) = 0.2455076037152481781721428369427
y[1] (numeric) = 0.2455076037152481830657035243343
absolute error = 4.89356068739160e-18
relative error = 1.9932420069023169351986710339846e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.876
y[1] (analytic) = 0.2458310212020882715394536773529
y[1] (numeric) = 0.24583102120208827646343776019557
absolute error = 4.92398408284267e-18
relative error = 2.0029954148035903032794684962932e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=160.2MB, alloc=4.3MB, time=16.52
NO POLE
x[1] = -0.875
y[1] (analytic) = 0.2461545727571638384336527089913
y[1] (numeric) = 0.24615457275716384338793909835621
absolute error = 4.95428638936491e-18
relative error = 2.0126729046193294269871190719729e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.874
y[1] (analytic) = 0.2464782583088300164197995837224
y[1] (numeric) = 0.2464782583088300214042677801693
absolute error = 4.98446819644690e-18
relative error = 2.0222749992826985119562717258342e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.873
y[1] (analytic) = 0.2468020777855342202206314726853
y[1] (numeric) = 0.24680207778553422523516156287117
absolute error = 5.01453009018587e-18
relative error = 2.0318022178660061647134244634157e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=164.0MB, alloc=4.3MB, time=16.91
NO POLE
x[1] = -0.872
y[1] (analytic) = 0.2471260311158159406863177520637
y[1] (numeric) = 0.24712603111581594573079040537395
absolute error = 5.04447265331025e-18
relative error = 2.0412550756120674443934550087987e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.871
y[1] (analytic) = 0.247450118228306544383115976367
y[1] (numeric) = 0.24745011822830654945741244156866
absolute error = 5.07429646520166e-18
relative error = 2.0506340839651279475069199301701e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.87
y[1] (analytic) = 0.2477743390517290737984719785184
y[1] (numeric) = 0.24777433905172907890247408043639
absolute error = 5.10400210191799e-18
relative error = 2.0599397506020194634469478816208e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=167.8MB, alloc=4.3MB, time=17.29
NO POLE
x[1] = -0.869
y[1] (analytic) = 0.2480986935148980481601188683235
y[1] (numeric) = 0.24809869351489805329370900453779
absolute error = 5.13359013621429e-18
relative error = 2.0691725794622226306063736739228e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.868
y[1] (analytic) = 0.2484231815467192648667415646831
y[1] (numeric) = 0.24842318154671927002980270224863
absolute error = 5.16306113756553e-18
relative error = 2.0783330707784804969378102359000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.867
y[1] (analytic) = 0.2487478030761896015277852926961
y[1] (numeric) = 0.24874780307618960672020096488386
absolute error = 5.19241567218776e-18
relative error = 2.0874217211065625807695967245798e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=171.6MB, alloc=4.4MB, time=17.68
NO POLE
x[1] = -0.866
y[1] (analytic) = 0.249072558032396818609998204996
y[1] (numeric) = 0.24907255803239682383165250805541
absolute error = 5.22165430305941e-18
relative error = 2.0964390233548853873875980651546e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.865
y[1] (analytic) = 0.2493974463445193626883099477415
y[1] (numeric) = 0.2493974463445193679390875376852
absolute error = 5.25077758994370e-18
relative error = 2.1053854668143792489353725302064e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.864
y[1] (analytic) = 0.2497224679418261702986595860803
y[1] (numeric) = 0.2497224679418261755784456754886
absolute error = 5.27978608940830e-18
relative error = 2.1142615371870531513744843842695e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=175.4MB, alloc=4.4MB, time=18.07
NO POLE
x[1] = -0.863
y[1] (analytic) = 0.2500476227536764723903978320463
y[1] (numeric) = 0.25004762275367647769907818689409
absolute error = 5.30868035484779e-18
relative error = 2.1230677166154885995888484708384e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.862
y[1] (analytic) = 0.2503729107095195993758999802052
y[1] (numeric) = 0.2503729107095196047133609167087
absolute error = 5.33746093650350e-18
relative error = 2.1318044837110889383742070232880e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.861
y[1] (analytic) = 0.2506983317388947867750373533249
y[1] (numeric) = 0.25069833173889479214116573480965
absolute error = 5.36612838148475e-18
relative error = 2.1404723135826985870817027394227e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=179.2MB, alloc=4.4MB, time=18.46
x[1] = -0.86
y[1] (analytic) = 0.2510238857714309814521663923804
y[1] (numeric) = 0.25102388577143098684684962616976
absolute error = 5.39468323378936e-18
relative error = 2.1490716778647399482871906346120e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.859
y[1] (analytic) = 0.2513495727368466484433057927116
y[1] (numeric) = 0.25134957273684665386643182703541
absolute error = 5.42312603432381e-18
relative error = 2.1576030447450231894906816075019e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.858
y[1] (analytic) = 0.2516753925649495783711832915698
y[1] (numeric) = 0.25167539256494958382264061249373
absolute error = 5.45145732092393e-18
relative error = 2.1660668789925811657794353265868e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.857
y[1] (analytic) = 0.2520013451856366954458448520371
y[1] (numeric) = 0.25200134518563670092552248041161
absolute error = 5.47967762837451e-18
relative error = 2.1744636419848900216575762947622e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=183.1MB, alloc=4.4MB, time=18.84
NO POLE
x[1] = -0.856
y[1] (analytic) = 0.2523274305288938660485300647905
y[1] (numeric) = 0.25232743052889387155631755322015
absolute error = 5.50778748842965e-18
relative error = 2.1827937917352019663594998751587e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.855
y[1] (analytic) = 0.2526536485247957078965286028357
y[1] (numeric) = 0.25265364852479571343231603266824
absolute error = 5.53578742983254e-18
relative error = 2.1910577829194703722250551042490e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.854
y[1] (analytic) = 0.2529799991035053997867435155552
y[1] (numeric) = 0.25297999910350540535042149388998
absolute error = 5.56367797833478e-18
relative error = 2.1992560669029140187552642869002e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=186.9MB, alloc=4.4MB, time=19.22
NO POLE
x[1] = -0.853
y[1] (analytic) = 0.2533064821952744919156980376138
y[1] (numeric) = 0.25330648219527449750715769433005
absolute error = 5.59145965671625e-18
relative error = 2.2073890917666221294922042827679e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.852
y[1] (analytic) = 0.2536330977304427167737334158501
y[1] (numeric) = 0.25363309773044272239286640065447
absolute error = 5.61913298480437e-18
relative error = 2.2154573023337421503280185040913e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.851
y[1] (analytic) = 0.2539598456394378006111560236504
y[1] (numeric) = 0.25395984563943780625785450314371
absolute error = 5.64669847949331e-18
relative error = 2.2234611401954742048650751669079e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=190.7MB, alloc=4.4MB, time=19.60
NO POLE
x[1] = -0.85
y[1] (analytic) = 0.2542867258527752754741027378562
y[1] (numeric) = 0.25428672585277528114825939261936
absolute error = 5.67415665476316e-18
relative error = 2.2314010437368775748481713088903e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.849
y[1] (analytic) = 0.2546137383010582918079041983928
y[1] (numeric) = 0.25461373830105829750941222009151
absolute error = 5.70150802169871e-18
relative error = 2.2392774481623531114109766928735e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.848
y[1] (analytic) = 0.2549408829149774316257361559159
y[1] (numeric) = 0.25494088291497743735448924442443
absolute error = 5.72875308850853e-18
relative error = 2.2470907855210748209228718910104e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=194.5MB, alloc=4.4MB, time=19.98
NO POLE
x[1] = -0.847
y[1] (analytic) = 0.2552681596253105222403596382503
y[1] (numeric) = 0.25526815962531052799625199879356
absolute error = 5.75589236054326e-18
relative error = 2.2548414847319437659008632176798e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.846
y[1] (analytic) = 0.2555955683629224505567611326203
y[1] (numeric) = 0.25559556836292245633968747293482
absolute error = 5.78292634031452e-18
relative error = 2.2625299716086199047304312940054e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.845
y[1] (analytic) = 0.2559231090587649779235143880392
y[1] (numeric) = 0.25592310905876498373336991555251
absolute error = 5.80985552751331e-18
relative error = 2.2701566688841893268423120466498e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=198.3MB, alloc=4.4MB, time=20.37
NO POLE
x[1] = -0.844
y[1] (analytic) = 0.2562507816438765555406957911086
y[1] (numeric) = 0.25625078164387656137737621013627
absolute error = 5.83668041902767e-18
relative error = 2.2777219962353800848891297823831e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.843
y[1] (analytic) = 0.256578586049382140422195559258
y[1] (numeric) = 0.25657858604938214628559706821986
absolute error = 5.86340150896186e-18
relative error = 2.2852263703072111812362432654284e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.842
y[1] (analytic) = 0.2569065222064930119102772285178
y[1] (numeric) = 0.25690652220649301780029651717103
absolute error = 5.89001928865323e-18
relative error = 2.2926702047365797280420608015630e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=202.1MB, alloc=4.4MB, time=20.76
NO POLE
x[1] = -0.841
y[1] (analytic) = 0.2572345900465065887402480886155
y[1] (numeric) = 0.25723459004650659465678233530634
absolute error = 5.91653424669084e-18
relative error = 2.3000539101763737867408417594437e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.84
y[1] (analytic) = 0.2575627895008062466531133369146
y[1] (numeric) = 0.25756278950080625259606020584737
absolute error = 5.94294686893277e-18
relative error = 2.3073778943189178508848137540333e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.839
y[1] (analytic) = 0.2578911205008611365540967848201
y[1] (numeric) = 0.25789112050086114252335442334457
absolute error = 5.96925763852447e-18
relative error = 2.3146425619196678649518014069275e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=206.0MB, alloc=4.4MB, time=21.14
NO POLE
x[1] = -0.838
y[1] (analytic) = 0.2582195829782260032149209561411
y[1] (numeric) = 0.25821958297822600921038799205609
absolute error = 5.99546703591499e-18
relative error = 2.3218483148199295083763276808479e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.837
y[1] (analytic) = 0.2585481768645410045177493668698
y[1] (numeric) = 0.25854817686454101053932490574507
absolute error = 6.02157553887527e-18
relative error = 2.3289955519702248681974520751121e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.836
y[1] (analytic) = 0.258876902091531531238703670294
y[1] (numeric) = 0.25887690209153153728628729280932
absolute error = 6.04758362251532e-18
relative error = 2.3360846694530769419579153883949e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=209.8MB, alloc=4.4MB, time=21.53
NO POLE
x[1] = -0.835
y[1] (analytic) = 0.259205758591008027368878190639
y[1] (numeric) = 0.25920575859100803344236994993986
absolute error = 6.07349175930086e-18
relative error = 2.3431160605054367626522586094526e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.834
y[1] (analytic) = 0.2595347462948658109707841529034
y[1] (numeric) = 0.25953474629486581707008457197414
absolute error = 6.09930041907074e-18
relative error = 2.3500901155412646452606433278436e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.833
y[1] (analytic) = 0.2598638651350848955681656465646
y[1] (numeric) = 0.259863865135084901693175715618
absolute error = 6.12501006905340e-18
relative error = 2.3570072221735943377093533368875e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=213.6MB, alloc=4.4MB, time=21.92
NO POLE
x[1] = -0.832
y[1] (analytic) = 0.2601931150437298120671390367237
y[1] (numeric) = 0.26019311504372981821776021060745
absolute error = 6.15062117388375e-18
relative error = 2.3638677652366147615959588179679e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.831
y[1] (analytic) = 0.2605224959529494312066171583936
y[1] (numeric) = 0.26052249595294943738275135401377
absolute error = 6.17613419562017e-18
relative error = 2.3706721268076537697109992570315e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.83
y[1] (analytic) = 0.2608520077949767865359891983483
y[1] (numeric) = 0.2608520077949767927375387921086
absolute error = 6.20154959376030e-18
relative error = 2.3774206862285546555823024613782e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=217.4MB, alloc=4.4MB, time=22.31
NO POLE
x[1] = -0.829
y[1] (analytic) = 0.2611816505021288979180366845833
y[1] (numeric) = 0.26118165050212890414490450984088
absolute error = 6.22686782525758e-18
relative error = 2.3841138201272009537743874360435e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.828
y[1] (analytic) = 0.2615114240068065955550754663364
y[1] (numeric) = 0.2615114240068066018071648108747
absolute error = 6.25208934453830e-18
relative error = 2.3907519024390961930885659240133e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.827
y[1] (analytic) = 0.2618413282414943445363229781171
y[1] (numeric) = 0.26184132824149435081353758163359
absolute error = 6.27721460351649e-18
relative error = 2.3973353044279781609699867881595e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=221.2MB, alloc=4.4MB, time=22.70
NO POLE
x[1] = -0.826
y[1] (analytic) = 0.2621713631387600699044994396161
y[1] (numeric) = 0.26217136313876007620674349122682
absolute error = 6.30224405161072e-18
relative error = 2.4038643947070283513364330079712e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.825
y[1] (analytic) = 0.26250152863125498223968095007
y[1] (numeric) = 0.26250152863125498856685908582964
absolute error = 6.32717813575964e-18
relative error = 2.4103395392594634990207241949274e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.824
y[1] (analytic) = 0.2628318246517134037584316909428
y[1] (numeric) = 0.2628318246517134101104489913812
absolute error = 6.35201730043840e-18
relative error = 2.4167611014593285952197496690110e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=225.0MB, alloc=4.4MB, time=23.09
NO POLE
x[1] = -0.823
y[1] (analytic) = 0.2631622511329525949262516550064
y[1] (numeric) = 0.26316225113295260130301364267985
absolute error = 6.37676198767345e-18
relative error = 2.4231294420915393858358864591409e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.822
y[1] (analytic) = 0.2634928080078725815813854733607
y[1] (numeric) = 0.26349280800787258798279811041911
absolute error = 6.40141263705841e-18
relative error = 2.4294449193722015998051828773416e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.821
y[1] (analytic) = 0.2638234952094559825680470149735
y[1] (numeric) = 0.26382349520945598899401670074338
absolute error = 6.42596968576988e-18
relative error = 2.4357078889687759267509570186245e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=228.8MB, alloc=4.4MB, time=23.49
NO POLE
x[1] = -0.82
y[1] (analytic) = 0.2641543126707678378771234862469
y[1] (numeric) = 0.26415431267076784432755705482927
absolute error = 6.45043356858237e-18
relative error = 2.4419187040197794334432257816441e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.819
y[1] (analytic) = 0.2644852603249554372924317612522
y[1] (numeric) = 0.26448526032495544376723647913566
absolute error = 6.47480471788346e-18
relative error = 2.4480777151544469266307298128392e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.818
y[1] (analytic) = 0.2648163381052481495406086269388
y[1] (numeric) = 0.26481633810524815603969219062827
absolute error = 6.49908356368947e-18
relative error = 2.4541852705124581159669452589035e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=232.7MB, alloc=4.4MB, time=23.88
NO POLE
x[1] = -0.817
y[1] (analytic) = 0.2651475459449572519427255321271
y[1] (numeric) = 0.26514754594495725846599606578678
absolute error = 6.52327053365968e-18
relative error = 2.4602417157629905611901795700384e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.816
y[1] (analytic) = 0.2654788837774757605657272847433
y[1] (numeric) = 0.26547888377747576711309333785525
absolute error = 6.54736605311195e-18
relative error = 2.4662473941241775961143472466054e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.815
y[1] (analytic) = 0.2658103515362782608718029488724
y[1] (numeric) = 0.2658103515362782674431734939093
absolute error = 6.57137054503690e-18
relative error = 2.4722026463818990415299753664851e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=236.5MB, alloc=4.4MB, time=24.27
NO POLE
x[1] = -0.814
y[1] (analytic) = 0.2661419491549207388638059520795
y[1] (numeric) = 0.26614194915492074545909038219275
absolute error = 6.59528443011325e-18
relative error = 2.4781078109088872229977787669114e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.813
y[1] (analytic) = 0.2664736765670404127248491244056
y[1] (numeric) = 0.26647367656704041934395725112719
absolute error = 6.61910812672159e-18
relative error = 2.4839632236831208364813357237336e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.812
y[1] (analytic) = 0.2668055337063555649502090537626
y[1] (numeric) = 0.26680553370635557159305110472237
absolute error = 6.64284205095977e-18
relative error = 2.4897692183067082690797297018434e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=240.3MB, alloc=4.4MB, time=24.65
NO POLE
x[1] = -0.811
y[1] (analytic) = 0.2671375205066653749696827584578
y[1] (numeric) = 0.26713752050666538163616937511418
absolute error = 6.66648661665638e-18
relative error = 2.4955261260239344874184781018190e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.81
y[1] (analytic) = 0.2674696369018497522585482465425
y[1] (numeric) = 0.26746963690184975894859048192811
absolute error = 6.69004223538561e-18
relative error = 2.5012342757397085928795089577003e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.809
y[1] (analytic) = 0.2678018828258691699352890539244
y[1] (numeric) = 0.26780188282586917664879837040587
absolute error = 6.71350931648147e-18
relative error = 2.5068939940376540670776957756437e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=244.1MB, alloc=4.4MB, time=25.04
NO POLE
x[1] = -0.808
y[1] (analytic) = 0.2681342582127644988442513289837
y[1] (numeric) = 0.26813425821276450558113959603495
absolute error = 6.73688826705125e-18
relative error = 2.5125056051977998427441439783753e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.807
y[1] (analytic) = 0.2684667629966568421214104610873
y[1] (numeric) = 0.26846676299665684888158995307733
absolute error = 6.76017949199003e-18
relative error = 2.5180694312145496523076132172567e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.806
y[1] (analytic) = 0.2687993971117473702414326341999
y[1] (numeric) = 0.26879939711174737702481602819435
absolute error = 6.78338339399445e-18
relative error = 2.5235857918142611167617791432823e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=247.9MB, alloc=4.4MB, time=25.43
NO POLE
x[1] = -0.805
y[1] (analytic) = 0.2691321604923171565442250250204
y[1] (numeric) = 0.26913216049231716335072539859698
absolute error = 6.80650037357658e-18
relative error = 2.5290550044727498618300892967874e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.804
y[1] (analytic) = 0.2694650530727270132391766580239
y[1] (numeric) = 0.26946505307272702006870748710085
absolute error = 6.82953082907695e-18
relative error = 2.5344773844323702699510840803196e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.803
y[1] (analytic) = 0.2697980747874173278853001777374
y[1] (numeric) = 0.26979807478741733473777533441654
absolute error = 6.85247515667914e-18
relative error = 2.5398532447195658810452073144519e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=251.7MB, alloc=4.4MB, time=25.82
x[1] = -0.802
y[1] (analytic) = 0.2701312255709079003454930018172
y[1] (numeric) = 0.27013122557090790722082675223953
absolute error = 6.87533375042233e-18
relative error = 2.5451828961615525075161048791216e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.801
y[1] (analytic) = 0.2704645053577977802131444772856
y[1] (numeric) = 0.27046450535779778711125147950078
absolute error = 6.89810700221518e-18
relative error = 2.5504666474033873504081704220253e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.8
y[1] (analytic) = 0.2707979140827651047093237769262
y[1] (numeric) = 0.27079791408276511163011907877541
absolute error = 6.92079530184921e-18
relative error = 2.5557048049247448199112848331207e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.799
y[1] (analytic) = 0.2711314516805669370487913435878
y[1] (numeric) = 0.27113145168056694399219038059934
memory used=255.5MB, alloc=4.4MB, time=26.21
absolute error = 6.94339903701154e-18
relative error = 2.5608976730563497576408536196798e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.798
y[1] (analytic) = 0.2714651180860391052730847172873
y[1] (numeric) = 0.27146511808603911223900331058587
absolute error = 6.96591859329857e-18
relative error = 2.5660455539966528459989875806992e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.797
y[1] (analytic) = 0.271798913234096041548937563809
y[1] (numeric) = 0.27179891323409604853729191803735
absolute error = 6.98835435422835e-18
relative error = 2.5711487478279181193781186650963e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.796
y[1] (analytic) = 0.2721328370597306219302986642281
y[1] (numeric) = 0.27213283705973062894100536548189
absolute error = 7.01070670125379e-18
relative error = 2.5762075525325174949971221680797e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=259.4MB, alloc=4.4MB, time=26.60
NO POLE
x[1] = -0.795
y[1] (analytic) = 0.2724668894980140065822255227232
y[1] (numeric) = 0.27246688949801401361520153649905
absolute error = 7.03297601377585e-18
relative error = 2.5812222640091147310805081726225e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.794
y[1] (analytic) = 0.2728010704840954804649351054417
y[1] (numeric) = 0.27280107048409548752009777459755
absolute error = 7.05516266915585e-18
relative error = 2.5861931760884243300304419791790e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.793
y[1] (analytic) = 0.2731353799532022944763020363094
y[1] (numeric) = 0.27313537995320230155356907903721
absolute error = 7.07726704272781e-18
relative error = 2.5911205805488820155957821734991e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=263.2MB, alloc=4.4MB, time=26.99
NO POLE
x[1] = -0.792
y[1] (analytic) = 0.2734698178406395070511023467961
y[1] (numeric) = 0.27346981784063951415039185460806
absolute error = 7.09928950781196e-18
relative error = 2.5960047671326442298211733368088e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.791
y[1] (analytic) = 0.2738043840817898262153086060266
y[1] (numeric) = 0.27380438408178983333653904175307
absolute error = 7.12123043572647e-18
relative error = 2.6008460235608362491383000315502e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.79
y[1] (analytic) = 0.2741390786121134520937499455057
y[1] (numeric) = 0.27413907861211345923684014130547
absolute error = 7.14309019579977e-18
relative error = 2.6056446355489196881467216878428e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=267.0MB, alloc=4.4MB, time=27.38
NO POLE
x[1] = -0.789
y[1] (analytic) = 0.2744739013671479198694581393809
y[1] (numeric) = 0.27447390136714792703432729476433
absolute error = 7.16486915538343e-18
relative error = 2.6104008868221672718451014582166e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.788
y[1] (analytic) = 0.274808852282507943193028506844
y[1] (numeric) = 0.27480885228250795037959618670794
absolute error = 7.18656767986394e-18
relative error = 2.6151150591306397343848583351879e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.787
y[1] (analytic) = 0.275143931293885258040331968222
y[1] (numeric) = 0.27514393129388526524851810089665
absolute error = 7.20818613267465e-18
relative error = 2.6197874322641268596916221649400e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=270.8MB, alloc=4.4MB, time=27.78
NO POLE
x[1] = -0.786
y[1] (analytic) = 0.2754791383370484670169221107887
y[1] (numeric) = 0.27547913833704847424664698609725
absolute error = 7.22972487530855e-18
relative error = 2.6244182840672996462764284983134e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.785
y[1] (analytic) = 0.2758144733478428841074886045892
y[1] (numeric) = 0.27581447334784289135867287191861
absolute error = 7.25118426732941e-18
relative error = 2.6290078904541724793501905367761e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.784
y[1] (analytic) = 0.276149936262190379868715752848
y[1] (numeric) = 0.27614993626219038714128041923227
absolute error = 7.27256466638427e-18
relative error = 2.6335565254229637561589656056225e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=274.6MB, alloc=4.4MB, time=28.17
NO POLE
x[1] = -0.783
y[1] (analytic) = 0.2764855270160892270639123660924
y[1] (numeric) = 0.27648552701608923435777879430701
absolute error = 7.29386642821461e-18
relative error = 2.6380644610703857271943242057886e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.782
y[1] (analytic) = 0.2768212455456139467377865141899
y[1] (numeric) = 0.27682124554561395405287642085877
absolute error = 7.31508990666887e-18
relative error = 2.6425319676063327573486643362878e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.781
y[1] (analytic) = 0.2771570917869151547297460363358
y[1] (numeric) = 0.27715709178691516206598149004893
absolute error = 7.33623545371313e-18
relative error = 2.6469593133678134987995840765862e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=278.4MB, alloc=4.4MB, time=28.56
NO POLE
x[1] = -0.78
y[1] (analytic) = 0.2774930656762194086241129758525
y[1] (numeric) = 0.27749306567621941598141639529601
absolute error = 7.35730341944351e-18
relative error = 2.6513467648334161382623821642155e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.779
y[1] (analytic) = 0.277829167149829055135647354741
y[1] (numeric) = 0.27782916714982906251394150683817
absolute error = 7.37829415209717e-18
relative error = 2.6556945866371790595884336649174e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.778
y[1] (analytic) = 0.2781653961441220779287829124701
y[1] (numeric) = 0.27816539614412208532799091053394
absolute error = 7.39920799806384e-18
relative error = 2.6600030415825656270711612982131e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=282.2MB, alloc=4.4MB, time=28.96
NO POLE
x[1] = -0.777
y[1] (analytic) = 0.2785017525955519458689846047561
y[1] (numeric) = 0.27850175259555195328902990665282
absolute error = 7.42004530189672e-18
relative error = 2.6642723906561255435826950058046e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.776
y[1] (analytic) = 0.2788382364406474617046447912954
y[1] (numeric) = 0.27883823644064746914545119761995
absolute error = 7.44080640632455e-18
relative error = 2.6685028930414908148743482964524e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.775
y[1] (analytic) = 0.2791748476160126111779421368114
y[1] (numeric) = 0.27917484761601261863943378907336
absolute error = 7.46149165226196e-18
relative error = 2.6726948061326681539920079304811e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=286.1MB, alloc=4.4MB, time=29.35
NO POLE
x[1] = -0.774
y[1] (analytic) = 0.2795115860583264125630943075779
y[1] (numeric) = 0.27951158605832642004519568639902
absolute error = 7.48210137882112e-18
relative error = 2.6768483855477140639733305927987e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.773
y[1] (analytic) = 0.2798484517043427666304425660363
y[1] (numeric) = 0.27984845170434277413307848935844
absolute error = 7.50263592332214e-18
relative error = 2.6809638851418780227690793250405e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.772
y[1] (analytic) = 0.2801854444908903070348133494386
y[1] (numeric) = 0.28018544449089031455790897074306
absolute error = 7.52309562130446e-18
relative error = 2.6850415570210175717505131664486e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=289.9MB, alloc=4.4MB, time=29.75
NO POLE
x[1] = -0.771
y[1] (analytic) = 0.2805225643548722511266088648691
y[1] (numeric) = 0.28052256435487225867008967140688
absolute error = 7.54348080653778e-18
relative error = 2.6890816515547659861311583095317e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.77
y[1] (analytic) = 0.280859811233266251184085642735
y[1] (numeric) = 0.28085981123326625874787745376723
absolute error = 7.56379181103223e-18
relative error = 2.6930844173893476480097378221848e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.769
y[1] (analytic) = 0.2811971850631242460652868640983
y[1] (numeric) = 0.28119718506312425364931582914797
absolute error = 7.58402896504967e-18
relative error = 2.6970501014607160656497569714128e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=293.7MB, alloc=4.4MB, time=30.14
NO POLE
x[1] = -0.768
y[1] (analytic) = 0.2815346857815723132781011142765
y[1] (numeric) = 0.28153468578157232088229371139063
absolute error = 7.60419259711413e-18
relative error = 2.7009789490073048537834918499510e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.767
y[1] (analytic) = 0.2818723133258105214669270161759
y[1] (numeric) = 0.28187231332581052909121005019797
absolute error = 7.62428303402207e-18
relative error = 2.7048712035826360237795574136792e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.766
y[1] (analytic) = 0.2822100676331127833144299620663
y[1] (numeric) = 0.28221006763311279095873056291973
absolute error = 7.64430060085343e-18
relative error = 2.7087271070681303583860176634735e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=297.5MB, alloc=4.4MB, time=30.54
NO POLE
x[1] = -0.765
y[1] (analytic) = 0.2825479486408267088568838921777
y[1] (numeric) = 0.28254794864082671652112951315905
absolute error = 7.66424562098135e-18
relative error = 2.7125468996853677297089477248096e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.764
y[1] (analytic) = 0.2828859562863734592115977628037
y[1] (numeric) = 0.28288595628637346689571617888659
absolute error = 7.68411841608289e-18
relative error = 2.7163308200086254784279711197769e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.763
y[1] (analytic) = 0.2832240905072476007149330057614
y[1] (numeric) = 0.28322409050724760841885231191124
absolute error = 7.70391930614984e-18
relative error = 2.7200791049773710994901815203784e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=301.3MB, alloc=4.4MB, time=30.93
NO POLE
x[1] = -0.762
y[1] (analytic) = 0.2835623512410169594694249052878
y[1] (numeric) = 0.28356235124101696719307351478525
absolute error = 7.72364860949745e-18
relative error = 2.7237919899079442191717926526409e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.761
y[1] (analytic) = 0.283900738425322476298527407952
y[1] (numeric) = 0.28390073842532248404183405072812
absolute error = 7.74330664277612e-18
relative error = 2.7274697085062097638820373179247e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.76
y[1] (analytic) = 0.2842392519978780621075074361681
y[1] (numeric) = 0.28423925199787806987040115714843
absolute error = 7.76289372098033e-18
relative error = 2.7311124928791617108790453777522e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=305.1MB, alloc=4.4MB, time=31.32
NO POLE
x[1] = -0.759
y[1] (analytic) = 0.2845778918964704536490212965744
y[1] (numeric) = 0.28457789189647046143143145403373
absolute error = 7.78241015745933e-18
relative error = 2.7347205735470743467873354613436e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.758
y[1] (analytic) = 0.2849166580589590696919122611468
y[1] (numeric) = 0.28491665805895907749376852507348
absolute error = 7.80185626392668e-18
relative error = 2.7382941794551750029180274787722e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.757
y[1] (analytic) = 0.2852555504232758675917748516136
y[1] (numeric) = 0.28525555042327587541300720208366
absolute error = 7.82123235047006e-18
relative error = 2.7418335379853399185994091178056e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=309.0MB, alloc=4.4MB, time=31.71
NO POLE
x[1] = -0.756
y[1] (analytic) = 0.2855945689274252002618377767575
y[1] (numeric) = 0.28559456892742520810237650231907
absolute error = 7.84053872556157e-18
relative error = 2.7453388749678899498406994989606e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.755
y[1] (analytic) = 0.2859337135094836735427238577262
y[1] (numeric) = 0.28593371350948368140249955379286
absolute error = 7.85977569606666e-18
relative error = 2.7488104146928346712645123888639e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.754
y[1] (analytic) = 0.2862729841076000039696516287199
y[1] (numeric) = 0.28627298410760001184859519597433
absolute error = 7.87894356725443e-18
relative error = 2.7522483799215264525100157188173e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=312.8MB, alloc=4.4MB, time=32.10
NO POLE
x[1] = -0.753
y[1] (analytic) = 0.2866123806599948769356496195983
y[1] (numeric) = 0.28661238065999488483369226240513
absolute error = 7.89804264280683e-18
relative error = 2.7556529918978592018077437472285e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.752
y[1] (analytic) = 0.2869519031049608052493606132316
y[1] (numeric) = 0.28695190310496081316643383805994
absolute error = 7.91707322482834e-18
relative error = 2.7590244703595660415897965833467e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.751
y[1] (analytic) = 0.2872915513808619880860194240221
y[1] (numeric) = 0.28729155138086199602205503787771
absolute error = 7.93603561385561e-18
relative error = 2.7623630335494339797937009330816e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=316.6MB, alloc=4.4MB, time=32.51
NO POLE
x[1] = -0.75
y[1] (analytic) = 0.2876313254261341703301939651331
y[1] (numeric) = 0.2876313254261341782851240739993
absolute error = 7.95493010886620e-18
relative error = 2.7656688982261371519474917855283e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.749
y[1] (analytic) = 0.2879712251792845023088855607736
y[1] (numeric) = 0.28797122517928451028264256806231
absolute error = 7.97375700728871e-18
relative error = 2.7689422796754868875053378092161e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.748
y[1] (analytic) = 0.288311250578891399913590616605
y[1] (numeric) = 0.28831125057889140790610722161657
absolute error = 7.99251660501157e-18
relative error = 2.7721833917211481534256425768765e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=320.4MB, alloc=4.4MB, time=32.90
NO POLE
x[1] = -0.747
y[1] (analytic) = 0.2886514015636044051099318861349
y[1] (numeric) = 0.28865140156360441312114108252718
absolute error = 8.01120919639228e-18
relative error = 2.7753924467354467859003053838956e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.746
y[1] (analytic) = 0.2889916780721440468334736640491
y[1] (numeric) = 0.28899167807214405486330873831585
absolute error = 8.02983507426675e-18
relative error = 2.7785696556501455402902885962143e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.745
y[1] (analytic) = 0.2893320800433017022703412989885
y[1] (numeric) = 0.28933208004330171031873582894627
absolute error = 8.04839452995777e-18
relative error = 2.7817152279668538497276372553534e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.744
y[1] (analytic) = 0.2896726074159394585212714484872
y[1] (numeric) = 0.28967260741593946658815930177244
memory used=324.2MB, alloc=4.4MB, time=33.30
absolute error = 8.06688785328524e-18
relative error = 2.7848293717679821172482939541013e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.743
y[1] (analytic) = 0.2900132601289899746477254978543
y[1] (numeric) = 0.29001326012898998273304083042804
absolute error = 8.08531533257374e-18
relative error = 2.7879122937267118886636741780273e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.742
y[1] (analytic) = 0.2903540381214563440987045328627
y[1] (numeric) = 0.29035403812145635220238178752525
absolute error = 8.10367725466255e-18
relative error = 2.7909641991177497998660148349344e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.741
y[1] (analytic) = 0.2906949413324119575169101934243
y[1] (numeric) = 0.29069494133241196563888409833753
absolute error = 8.12197390491323e-18
relative error = 2.7939852918271765860220892101207e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=328.0MB, alloc=4.4MB, time=33.70
NO POLE
x[1] = -0.74
y[1] (analytic) = 0.291035969701000365922901642126
y[1] (numeric) = 0.29103596970100037406310720934593
absolute error = 8.14020556721993e-18
relative error = 2.7969757743631748785454186675957e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.739
y[1] (analytic) = 0.2913771231664351442759047577972
y[1] (numeric) = 0.29137712316643515243427728181413
absolute error = 8.15837252401693e-18
relative error = 2.7999358478657408982557209852711e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.738
y[1] (analytic) = 0.2917184016679997554099355103174
y[1] (numeric) = 0.29171840166799976358641056660513
absolute error = 8.17647505628773e-18
relative error = 2.8028657121168691372987359095994e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=331.8MB, alloc=4.4MB, time=34.10
NO POLE
x[1] = -0.737
y[1] (analytic) = 0.2920598051450474143439052888669
y[1] (numeric) = 0.29205980514504742253841873244056
absolute error = 8.19451344357366e-18
relative error = 2.8057655655505109970943563294492e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.736
y[1] (analytic) = 0.2924013335370009529643817419293
y[1] (numeric) = 0.29240133353700096117686970591165
absolute error = 8.21248796398235e-18
relative error = 2.8086356052624254057158639897649e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.735
y[1] (analytic) = 0.2927429867833526850796844437588
y[1] (numeric) = 0.29274298678335269331008333795482
absolute error = 8.23039889419602e-18
relative error = 2.8114760270199085323150703921641e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=335.7MB, alloc=4.4MB, time=34.49
NO POLE
x[1] = -0.734
y[1] (analytic) = 0.2930847648236642718440004289011
y[1] (numeric) = 0.2930847648236642800922469383816
absolute error = 8.24824650948050e-18
relative error = 2.8142870252717139761299760862024e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.733
y[1] (analytic) = 0.293426667597566587550210333883
y[1] (numeric) = 0.29342666759756659581624141757586
absolute error = 8.26603108369286e-18
relative error = 2.8170687931574392806592445605572e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.732
y[1] (analytic) = 0.2937686950447595857901215535256
y[1] (numeric) = 0.29376869504475959407387444281563
absolute error = 8.28375288929003e-18
relative error = 2.8198215225171931837395421445256e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=339.5MB, alloc=4.4MB, time=34.90
NO POLE
x[1] = -0.731
y[1] (analytic) = 0.2941108471050121659808104586762
y[1] (numeric) = 0.29411084710501217428222265601394
absolute error = 8.30141219733774e-18
relative error = 2.8225454039013134172407506598257e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.73
y[1] (analytic) = 0.2944531237181620402557813326571
y[1] (numeric) = 0.29445312371816204857479061017418
absolute error = 8.31900927751708e-18
relative error = 2.8252406265792175938386873847540e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.729
y[1] (analytic) = 0.294795524824115600719655265557
y[1] (numeric) = 0.29479552482411560905619966369145
absolute error = 8.33654439813445e-18
relative error = 2.8279073785493514207741352571464e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=343.3MB, alloc=4.4MB, time=35.30
NO POLE
x[1] = -0.728
y[1] (analytic) = 0.2951380503628477870651077988414
y[1] (numeric) = 0.29513805036284779541912562496986
absolute error = 8.35401782612846e-18
relative error = 2.8305458465480432068779688813948e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.727
y[1] (analytic) = 0.2954807002744019545507796377576
y[1] (numeric) = 0.29548070027440196292220946483607
absolute error = 8.37142982707847e-18
relative error = 2.8331562160588606862165877307614e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.726
y[1] (analytic) = 0.2958234744988897423388902458644
y[1] (numeric) = 0.29582347449888975072767091107675
absolute error = 8.38878066521235e-18
relative error = 2.8357386713216479396895869217669e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=347.1MB, alloc=4.4MB, time=35.71
NO POLE
x[1] = -0.725
y[1] (analytic) = 0.2961663729764909421912896048643
y[1] (numeric) = 0.29616637297649095059736020827898
absolute error = 8.40607060341468e-18
relative error = 2.8382933953416568447126437223668e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.724
y[1] (analytic) = 0.2965093956474533675226888639371
y[1] (numeric) = 0.2965093956474533759459887671715
absolute error = 8.42329990323440e-18
relative error = 2.8408205698984383125247413836067e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.723
y[1] (analytic) = 0.296852542452092722809816016122
y[1] (numeric) = 0.29685254245209273125028484101484
absolute error = 8.44046882489284e-18
relative error = 2.8433203755548084529954875953407e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=350.9MB, alloc=4.4MB, time=36.10
NO POLE
x[1] = -0.722
y[1] (analytic) = 0.2971958133307924733552481251413
y[1] (numeric) = 0.29719581333079248181282575243235
absolute error = 8.45757762729105e-18
relative error = 2.8457929916655255759943353611198e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.721
y[1] (analytic) = 0.2975392082240037154046769845544
y[1] (numeric) = 0.2975392082240037238793035525726
absolute error = 8.47462656801820e-18
relative error = 2.8482385963862751562156211141035e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.72
y[1] (analytic) = 0.2978827270722450466163704224485
y[1] (numeric) = 0.29788272707224505510798632580714
absolute error = 8.49161590335864e-18
relative error = 2.8506573666821511462017340727040e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=354.7MB, alloc=4.4MB, time=36.48
NO POLE
x[1] = -0.719
y[1] (analytic) = 0.2982263698161024368815967691554
y[1] (numeric) = 0.29822636981610244539014265745538
absolute error = 8.50854588829998e-18
relative error = 2.8530494783364289567092972202827e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.718
y[1] (analytic) = 0.2985701363962290994947852829077
y[1] (numeric) = 0.29857013639622910802020205944784
absolute error = 8.52541677654014e-18
relative error = 2.8554151059589410639585262479594e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.717
y[1] (analytic) = 0.2989140267533453626722005790525
y[1] (numeric) = 0.29891402675334537121442939954793
absolute error = 8.54222882049543e-18
relative error = 2.8577544229947475190773972855162e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=358.5MB, alloc=4.4MB, time=36.87
NO POLE
x[1] = -0.716
y[1] (analytic) = 0.2992580408282385414179143325983
y[1] (numeric) = 0.29925804082823854997689660390618
absolute error = 8.55898227130788e-18
relative error = 2.8600676017325040997543073167856e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.715
y[1] (analytic) = 0.2996021785617628097358627216225
y[1] (numeric) = 0.29960217856176281831154010047474
absolute error = 8.57567737885224e-18
relative error = 2.8623548133126706362345047602543e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.714
y[1] (analytic) = 0.2999464398948390731867832505734
y[1] (numeric) = 0.29994643989483908177909764231746
absolute error = 8.59231439174406e-18
relative error = 2.8646162277360307976080722255452e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=362.4MB, alloc=4.4MB, time=37.26
NO POLE
x[1] = -0.713
y[1] (analytic) = 0.3002908247684548417888297379193
y[1] (numeric) = 0.3002908247684548503977232952655
absolute error = 8.60889355734620e-18
relative error = 2.8668520138716382797240660560089e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.712
y[1] (analytic) = 0.3006353331236641032606693720643
y[1] (numeric) = 0.30063533312366411188608449384124
absolute error = 8.62541512177694e-18
relative error = 2.8690623394652483465443893286842e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.711
y[1] (analytic) = 0.3009799649015871966058708331396
y[1] (numeric) = 0.30097996490158720524775016305604
absolute error = 8.64187932991644e-18
relative error = 2.8712473711471509508369262544645e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=366.2MB, alloc=4.4MB, time=37.66
NO POLE
x[1] = -0.71
y[1] (analytic) = 0.3013247200434106860373975463146
y[1] (numeric) = 0.30132472004341069469568397172913
absolute error = 8.65828642541453e-18
relative error = 2.8734072744403991114691606677034e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.709
y[1] (analytic) = 0.3016695984903872352410251748278
y[1] (numeric) = 0.30166959849038724391566182552529
absolute error = 8.67463665069749e-18
relative error = 2.8755422137686536247220144288505e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.708
y[1] (analytic) = 0.30201460018383548197650747814
y[1] (numeric) = 0.30201460018383549066743772511524
absolute error = 8.69093024697524e-18
relative error = 2.8776523524641172738798999255251e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=370.0MB, alloc=4.4MB, time=38.05
NO POLE
x[1] = -0.707
y[1] (analytic) = 0.3023597250651399130153196526237
y[1] (numeric) = 0.30235972506513992172248710687228
absolute error = 8.70716745424858e-18
relative error = 2.8797378527754386823949007498936e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.706
y[1] (analytic) = 0.3027049730757507394138132391615
y[1] (numeric) = 0.3027049730757507481371617504773
absolute error = 8.72334851131580e-18
relative error = 2.8817988758753613351127388962164e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.705
y[1] (analytic) = 0.3030503441571837721206216240775
y[1] (numeric) = 0.3030503441571837808600952798571
absolute error = 8.73947365577960e-18
relative error = 2.8838355818684299037332637000939e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=373.8MB, alloc=4.4MB, time=38.44
NO POLE
x[1] = -0.704
y[1] (analytic) = 0.303395838251020297917160077117
y[1] (numeric) = 0.30339583825102030667270320117182
absolute error = 8.75554312405482e-18
relative error = 2.8858481297989181470386430389244e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.703
y[1] (analytic) = 0.3037414552989069556900691628656
y[1] (numeric) = 0.3037414552989069644616263142396
absolute error = 8.77155715137400e-18
relative error = 2.8878366776579954492913224841319e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.702
y[1] (analytic) = 0.3040871952425556130344552301869
y[1] (numeric) = 0.30408719524255562182197120198233
absolute error = 8.78751597179543e-18
relative error = 2.8898013823916704356662311925311e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=377.6MB, alloc=4.4MB, time=38.84
NO POLE
x[1] = -0.701
y[1] (analytic) = 0.3044330580237432431867865281279
y[1] (numeric) = 0.30443305802374325199020634633688
absolute error = 8.80341981820898e-18
relative error = 2.8917423999079582775318823813925e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.7
y[1] (analytic) = 0.3047790435843118022863083163984
y[1] (numeric) = 0.30477904358431181110557723874181
absolute error = 8.81926892234341e-18
relative error = 2.8936598850844917750551792326981e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.699
y[1] (analytic) = 0.3051251518661681069638451341465
y[1] (numeric) = 0.30512515186616811579890864891954
absolute error = 8.83506351477304e-18
relative error = 2.8955539917758778276913747430461e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=381.4MB, alloc=4.4MB, time=39.23
NO POLE
x[1] = -0.698
y[1] (analytic) = 0.3054713828112837122568631624438
y[1] (numeric) = 0.30547138281128372110766698736735
absolute error = 8.85080382492355e-18
relative error = 2.8974248728207259467357627223536e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.697
y[1] (analytic) = 0.3058177363616947898496703638038
y[1] (numeric) = 0.30581773636169479871616044488392
absolute error = 8.86649008108012e-18
relative error = 2.8992726800494009846199414950463e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.696
y[1] (analytic) = 0.3061642124595020066376368063373
y[1] (numeric) = 0.30616421245950201551975931672949
absolute error = 8.88212251039219e-18
relative error = 2.9010975642906259983021686447703e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=385.2MB, alloc=4.4MB, time=39.60
x[1] = -0.695
y[1] (analytic) = 0.3065108110468704036143222809
y[1] (numeric) = 0.3065108110468704125120236197817
absolute error = 8.89770133888170e-18
relative error = 2.9028996753791823694045577881189e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.694
y[1] (analytic) = 0.3068575320660292750804029969935
y[1] (numeric) = 0.30685753206602928399362978844137
absolute error = 8.91322679144787e-18
relative error = 2.9046791621624368033477566902259e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.693
y[1] (analytic) = 0.3072043754592720481732937973217
y[1] (numeric) = 0.30720437545927205710199288919695
absolute error = 8.92869909187525e-18
relative error = 2.9064361725078951306189905211615e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.692
y[1] (analytic) = 0.3075513411689561627163669619671
y[1] (numeric) = 0.30755134116895617166048542480588
absolute error = 8.94411846283878e-18
relative error = 2.9081708533097393065868762720556e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=389.1MB, alloc=4.4MB, time=39.99
NO POLE
x[1] = -0.691
y[1] (analytic) = 0.3078984291375029513866732812173
y[1] (numeric) = 0.30789842913750296034615840712833
absolute error = 8.95948512591103e-18
relative error = 2.9098833504960346878413393058513e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.69
y[1] (analytic) = 0.3082456393073975202000756613172
y[1] (numeric) = 0.30824563930739752917487496288516
absolute error = 8.97479930156796e-18
relative error = 2.9115738090354148732109874893874e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.689
y[1] (analytic) = 0.3085929716211886293127100899427
y[1] (numeric) = 0.30859297162118863830277129913791
absolute error = 8.99006120919521e-18
relative error = 2.9132423729438995015063777660616e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=392.9MB, alloc=4.4MB, time=40.37
NO POLE
x[1] = -0.688
y[1] (analytic) = 0.3089404260214885741376933281392
y[1] (numeric) = 0.30894042602148858314296439523404
absolute error = 9.00527106709484e-18
relative error = 2.9148891852918180013084343458650e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.687
y[1] (analytic) = 0.3092880024509730667760012129635
y[1] (numeric) = 0.30928800245097307579643030545438
absolute error = 9.02042909249088e-18
relative error = 2.9165143882103081452621766428872e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.686
y[1] (analytic) = 0.3096357008523811177604459502342
y[1] (numeric) = 0.30963570085238112679598145177006
absolute error = 9.03553550153586e-18
relative error = 2.9181181228980935100413442890391e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=396.7MB, alloc=4.4MB, time=40.76
NO POLE
x[1] = -0.685
y[1] (analytic) = 0.3099835211685149181116852497733
y[1] (numeric) = 0.30998352116851492716227575909007
absolute error = 9.05059050931677e-18
relative error = 2.9197005296280375637745181832581e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.684
y[1] (analytic) = 0.3103314633422397217052006064239
y[1] (numeric) = 0.31033146334223973077079493628476
absolute error = 9.06559432986086e-18
relative error = 2.9212617477536081877097882307090e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.683
y[1] (analytic) = 0.3106795273164837279481864590879
y[1] (numeric) = 0.31067952731648373702873363523023
absolute error = 9.08054717614233e-18
relative error = 2.9228019157155912422263621270865e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=400.5MB, alloc=4.4MB, time=41.14
NO POLE
x[1] = -0.682
y[1] (analytic) = 0.3110277130342379647652963671715
y[1] (numeric) = 0.31102771303423797386074562725928
absolute error = 9.09544926008778e-18
relative error = 2.9243211710483663389288909518584e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.681
y[1] (analytic) = 0.3113760204385561718921967292672
y[1] (numeric) = 0.3113760204385561810024975218493
absolute error = 9.11030079258210e-18
relative error = 2.9258196503862877253027521573003e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.68
y[1] (analytic) = 0.3117244494725546844758829327758
y[1] (numeric) = 0.31172444947255469360098491625051
absolute error = 9.12510198347471e-18
relative error = 2.9272974894701405294532848794043e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=404.3MB, alloc=4.4MB, time=41.53
NO POLE
x[1] = -0.679
y[1] (analytic) = 0.3120730000794123169807171655955
y[1] (numeric) = 0.31207300007941232612057020718077
absolute error = 9.13985304158527e-18
relative error = 2.9287548231533897313286915859348e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.678
y[1] (analytic) = 0.3124216722023702473991514420987
y[1] (numeric) = 0.3124216722023702565537056168082
absolute error = 9.15455417470950e-18
relative error = 2.9301917854084282714546611159945e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.677
y[1] (analytic) = 0.3127704657847319017661036955053
y[1] (numeric) = 0.31277046578473191093530928513017
absolute error = 9.16920558962487e-18
relative error = 2.9316085093327475125812173157863e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=408.1MB, alloc=4.4MB, time=41.91
NO POLE
x[1] = -0.676
y[1] (analytic) = 0.3131193807698628389759590675612
y[1] (numeric) = 0.31311938076986284815976655965776
absolute error = 9.18380749209656e-18
relative error = 2.9330051271551583491168319826098e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.675
y[1] (analytic) = 0.3134684171011906359011727842635
y[1] (numeric) = 0.31346841710119064509953287114686
absolute error = 9.19836008688336e-18
relative error = 2.9343817702419572390044233813874e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.674
y[1] (analytic) = 0.3138175747222047728114552433574
y[1] (numeric) = 0.31381757472220478202431882110021
absolute error = 9.21286357774281e-18
relative error = 2.9357385691028144703816847931998e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=412.0MB, alloc=4.4MB, time=42.30
NO POLE
x[1] = -0.673
y[1] (analytic) = 0.3141668535764565190925241555791
y[1] (numeric) = 0.31416685357645652831984232301594
absolute error = 9.22731816743684e-18
relative error = 2.9370756533967878289549748191818e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.672
y[1] (analytic) = 0.3145162536075588192634127772567
y[1] (numeric) = 0.31451625360755882850513683499481
absolute error = 9.24172405773811e-18
relative error = 2.9383931519385242265255282673899e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.671
y[1] (analytic) = 0.3148657747591861792913274470218
y[1] (numeric) = 0.31486577475918618854740889645685
absolute error = 9.25608144943505e-18
relative error = 2.9396911927040125838341365051259e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=415.8MB, alloc=4.4MB, time=42.69
NO POLE
x[1] = -0.67
y[1] (analytic) = 0.3152154169750745532030517941364
y[1] (numeric) = 0.31521541697507456247344233647365
absolute error = 9.27039054233725e-18
relative error = 2.9409699028364148471982098282704e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.669
y[1] (analytic) = 0.3155651801990212299918991204286
y[1] (numeric) = 0.31556518019902123927655065571001
absolute error = 9.28465153528141e-18
relative error = 2.9422294086520410273773956899548e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.668
y[1] (analytic) = 0.3159150643748847208192185721663
y[1] (numeric) = 0.31591506437488473011808319830266
absolute error = 9.29886462613636e-18
relative error = 2.9434698356459954452316329632846e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=419.6MB, alloc=4.4MB, time=43.08
NO POLE
x[1] = -0.667
y[1] (analytic) = 0.3162650694465846465094648124872
y[1] (numeric) = 0.31626506944658465582249482429636
absolute error = 9.31303001180916e-18
relative error = 2.9446913084981322199539786215656e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.666
y[1] (analytic) = 0.3166151953581016253378449793738
y[1] (numeric) = 0.31661519535810163466499286762327
absolute error = 9.32714788824947e-18
relative error = 2.9458939510784300420132654036605e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.665
y[1] (analytic) = 0.316965442053477161109560768704
y[1] (numeric) = 0.31696544205347717045077921915999
absolute error = 9.34121845045599e-18
relative error = 2.9470778864529895377797357507715e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=423.4MB, alloc=4.4MB, time=43.46
NO POLE
x[1] = -0.664
y[1] (analytic) = 0.3173158094768135315296675167603
y[1] (numeric) = 0.31731580947681354088490940924115
absolute error = 9.35524189248085e-18
relative error = 2.9482432368893499737680290256965e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.663
y[1] (analytic) = 0.317666297572273676862576171822
y[1] (numeric) = 0.31766629757227368623179457925786
absolute error = 9.36921840743586e-18
relative error = 2.9493901238623613549885574014468e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.662
y[1] (analytic) = 0.3180169062840810888802280402375
y[1] (numeric) = 0.31801690628408109826337622773442
absolute error = 9.38314818749692e-18
relative error = 2.9505186680594441228109835143372e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=427.2MB, alloc=4.4MB, time=43.83
NO POLE
x[1] = -0.661
y[1] (analytic) = 0.3183676355565197000979761687566
y[1] (numeric) = 0.31836763555651970949500759266612
absolute error = 9.39703142390952e-18
relative error = 2.9516289893861614420269854068571e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.66
y[1] (analytic) = 0.3187184853339337732972111820288
y[1] (numeric) = 0.31871848533393378270807948902326
absolute error = 9.41086830699446e-18
relative error = 2.9527212069718286526782454841803e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.659
y[1] (analytic) = 0.3190694555607277913337733321371
y[1] (numeric) = 0.31906945556072780075843235828926
absolute error = 9.42465902615216e-18
relative error = 2.9537954391746486900158657639656e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=431.0MB, alloc=4.4MB, time=44.21
NO POLE
x[1] = -0.658
y[1] (analytic) = 0.3194205461813663472311964359429
y[1] (numeric) = 0.31942054618136635666960020581106
absolute error = 9.43840376986816e-18
relative error = 2.9548518035871910436652952771876e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.657
y[1] (analytic) = 0.3197717571403740345578332759855
y[1] (numeric) = 0.31977175714037404400993600170425
absolute error = 9.45210272571875e-18
relative error = 2.9558904170418800821393207378638e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.656
y[1] (analytic) = 0.3201230883823353380869159218042
y[1] (numeric) = 0.32012308838233534755267200217903
absolute error = 9.46575608037483e-18
relative error = 2.9569113956158991002365340787100e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=434.8MB, alloc=4.4MB, time=44.59
NO POLE
x[1] = -0.655
y[1] (analytic) = 0.3204745398518945247386082909334
y[1] (numeric) = 0.3204745398518945342179723105416
absolute error = 9.47936401960820e-18
relative error = 2.9579148546368250823566744192576e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.654
y[1] (analytic) = 0.3208261114937555348031121125867
y[1] (numeric) = 0.32082611149375554429603884088251
absolute error = 9.49292672829581e-18
relative error = 2.9589009086875952543698726762671e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.653
y[1] (analytic) = 0.3211778032526818734438912822684
y[1] (numeric) = 0.32117780325268188295033567269348
absolute error = 9.50644439042508e-18
relative error = 2.9598696716117788072277848486587e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=438.7MB, alloc=4.4MB, time=44.97
NO POLE
x[1] = -0.652
y[1] (analytic) = 0.3215296150734965024800834023611
y[1] (numeric) = 0.32152961507349651200000059145947
absolute error = 9.51991718909837e-18
relative error = 2.9608212565185542649848923584035e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.651
y[1] (analytic) = 0.3218815469010817324471710922177
y[1] (numeric) = 0.32188154690108174198051639875615
absolute error = 9.53334530653845e-18
relative error = 2.9617557757879694490704392818075e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.65
y[1] (analytic) = 0.3222335986803791149349894215527
y[1] (numeric) = 0.32223359868037912448171834564593
absolute error = 9.54672892409323e-18
relative error = 2.9626733410759418524609052166091e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=442.5MB, alloc=4.4MB, time=45.35
NO POLE
x[1] = -0.649
y[1] (analytic) = 0.3225857703563893352021495730693
y[1] (numeric) = 0.32258577035638934476221779530958
absolute error = 9.56006822224028e-18
relative error = 2.9635740633191656586443643391389e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.648
y[1] (analytic) = 0.3229380618741721050659625743836
y[1] (numeric) = 0.32293806187417211463932595497564
absolute error = 9.57336338059204e-18
relative error = 2.9644580527402047653229419041928e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.647
y[1] (analytic) = 0.3232904731788460560669506555154
y[1] (numeric) = 0.32329047317884606565356523341584
absolute error = 9.58661457790044e-18
relative error = 2.9653254188523744214484610187694e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=446.3MB, alloc=4.4MB, time=45.73
NO POLE
x[1] = -0.646
y[1] (analytic) = 0.3236430042155886329070374866001
y[1] (numeric) = 0.32364300421558864250685947866148
absolute error = 9.59982199206138e-18
relative error = 2.9661762704645520868087485121017e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.645
y[1] (analytic) = 0.3239956549296359871605122311404
y[1] (numeric) = 0.32399565492963599677349803126081
absolute error = 9.61298580012041e-18
relative error = 2.9670107156863315963093728234495e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.644
y[1] (analytic) = 0.3243484252662828712568660131638
y[1] (numeric) = 0.32434842526628288088297219143981
absolute error = 9.62610617827601e-18
relative error = 2.9678288619324080554596231121876e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.643
y[1] (analytic) = 0.3247013151708825327346030421595
y[1] (numeric) = 0.324701315170882542373786344045
absolute error = 9.63918330188550e-18
relative error = 2.9686308159277483906102295813758e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=450.1MB, alloc=4.4MB, time=46.11
NO POLE
x[1] = -0.642
y[1] (analytic) = 0.3250543245888466087651322677654
y[1] (numeric) = 0.32505432458884661841734961323422
absolute error = 9.65221734546882e-18
relative error = 2.9694166837120771720161396390932e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.641
y[1] (analytic) = 0.3254074534656450209458490469218
y[1] (numeric) = 0.32540745346564503061105752963561
absolute error = 9.66520848271381e-18
relative error = 2.9701865706447983909545652088174e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.64
y[1] (analytic) = 0.3257607017468058703615198997314
y[1] (numeric) = 0.32576070174680588003967678621176
absolute error = 9.67815688648036e-18
relative error = 2.9709405814095425012855882973014e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=453.9MB, alloc=4.4MB, time=46.50
NO POLE
x[1] = -0.639
y[1] (analytic) = 0.3261140693779153329130870066355
y[1] (numeric) = 0.32611406937791534260414973544064
absolute error = 9.69106272880514e-18
relative error = 2.9716788200188658816243856551595e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.638
y[1] (analytic) = 0.3264675563046175549130126588449
y[1] (numeric) = 0.32646755630461756461693883975084
absolute error = 9.70392618090594e-18
relative error = 2.9724013898188044033795358316260e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.637
y[1] (analytic) = 0.3268211624726145489462874163343
y[1] (numeric) = 0.32682116247261455866303482952069
absolute error = 9.71674741318639e-18
relative error = 2.9731083934935177717795394693555e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=457.7MB, alloc=4.4MB, time=46.88
NO POLE
x[1] = -0.636
y[1] (analytic) = 0.3271748878276660899962292532211
y[1] (numeric) = 0.3271748878276660997257558484614
absolute error = 9.72952659524030e-18
relative error = 2.9737999330697916217667321080676e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.635
y[1] (analytic) = 0.3275287323155896118342044790901
y[1] (numeric) = 0.32752873231558962157646837494627
absolute error = 9.74226389585617e-18
relative error = 2.9744761099215663285984276579554e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.634
y[1] (analytic) = 0.3278826958822601036724047168919
y[1] (numeric) = 0.32788269588226011342736419991342
absolute error = 9.75495948302152e-18
relative error = 2.9751370247743855468887764472662e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=461.5MB, alloc=4.4MB, time=47.26
NO POLE
x[1] = -0.633
y[1] (analytic) = 0.3282367784736100070788176935223
y[1] (numeric) = 0.32823677847361001684643121744975
absolute error = 9.76761352392745e-18
relative error = 2.9757827777098899550610237815942e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.632
y[1] (analytic) = 0.3285909800356291131535330581772
y[1] (numeric) = 0.32859098003562912293375924314964
absolute error = 9.78022618497244e-18
relative error = 2.9764134681700545393877499663321e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.631
y[1] (analytic) = 0.328945300514364459965527886156
y[1] (numeric) = 0.32894530051436446975832551792374
absolute error = 9.79279763176774e-18
relative error = 2.9770291949618857172661212115885e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=465.4MB, alloc=4.4MB, time=47.64
NO POLE
x[1] = -0.63
y[1] (analytic) = 0.3292997398559202302490799520606
y[1] (numeric) = 0.32929973985592024005440798120109
absolute error = 9.80532802914049e-18
relative error = 2.9776300562614026142552131892710e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.629
y[1] (analytic) = 0.3296542980064576493589602663712
y[1] (numeric) = 0.32965429800645765917677780751015
absolute error = 9.81781754113895e-18
relative error = 2.9782161496182365090552305865812e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.628
y[1] (analytic) = 0.3300089749121948834835597632948
y[1] (numeric) = 0.33000897491219489331382609433073
absolute error = 9.83026633103593e-18
relative error = 2.9787875719596589451351799136838e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=469.2MB, alloc=4.4MB, time=48.01
NO POLE
x[1] = -0.627
y[1] (analytic) = 0.3303637705194069381151084056327
y[1] (numeric) = 0.33036377051940694795778296696659
absolute error = 9.84267456133389e-18
relative error = 2.9793444195950931224322143299259e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.626
y[1] (analytic) = 0.3307186847744255567761483343173
y[1] (numeric) = 0.33071868477442556663119072808569
absolute error = 9.85504239376839e-18
relative error = 2.9798867882201010297403089646306e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.625
y[1] (analytic) = 0.331073717623639120001426036286
y[1] (numeric) = 0.33107371762363912986879602559844
absolute error = 9.86736998931244e-18
relative error = 2.9804147729206204362532778815163e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=473.0MB, alloc=4.4MB, time=48.41
NO POLE
x[1] = -0.624
y[1] (analytic) = 0.3314288690134925445743718345991
y[1] (numeric) = 0.33142886901349255445402934278031
absolute error = 9.87965750818121e-18
relative error = 2.9809284681772869030612538571109e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.623
y[1] (analytic) = 0.3317841388904871830173383192448
y[1] (numeric) = 0.33178413889048719290924342908005
absolute error = 9.89190510983525e-18
relative error = 2.9814279678692825499782485681293e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.622
y[1] (analytic) = 0.3321395272011807233347726359882
y[1] (numeric) = 0.33213952720118073323888558897342
absolute error = 9.90411295298522e-18
relative error = 2.9819133652786183207023759994012e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=476.8MB, alloc=4.4MB, time=48.80
NO POLE
x[1] = -0.621
y[1] (analytic) = 0.3324950338921870890085008340144
y[1] (numeric) = 0.33249503389218709892478202961021
absolute error = 9.91628119559581e-18
relative error = 2.9823847530941487141962657769838e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.62
y[1] (analytic) = 0.3328506589101763392443057410535
y[1] (numeric) = 0.33285065891017634917271573594318
absolute error = 9.92840999488968e-18
relative error = 2.9828422234155703082559946791430e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.619
y[1] (analytic) = 0.3332064022018745694689830872543
y[1] (numeric) = 0.33320640220187457940948259460591
absolute error = 9.94049950735161e-18
relative error = 2.9832858677574611842048608372218e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=480.6MB, alloc=4.4MB, time=49.18
NO POLE
x[1] = -0.618
y[1] (analytic) = 0.3335622637140638120770638363726
y[1] (numeric) = 0.33356226371406382202961372510495
absolute error = 9.95254988873235e-18
relative error = 2.9837157770532080185668591983620e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.617
y[1] (analytic) = 0.3339182433935819374263939049411
y[1] (numeric) = 0.33391824339358194739095519899372
absolute error = 9.96456129405262e-18
relative error = 2.9841320416589564096013991329240e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.616
y[1] (analytic) = 0.3342743411873225550817656570754
y[1] (numeric) = 0.33427434118732256505829953468288
absolute error = 9.97653387760748e-18
relative error = 2.9845347513576500466285051458992e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=484.4MB, alloc=4.4MB, time=49.58
NO POLE
x[1] = -0.615
y[1] (analytic) = 0.3346305570422349153057987545275
y[1] (numeric) = 0.33463055704223492529426654749685
absolute error = 9.98846779296935e-18
relative error = 2.9849239953626440273403133808515e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.614
y[1] (analytic) = 0.3349868909053238107962711185964
y[1] (numeric) = 0.33498689090532382079663431158941
absolute error = 1.000036319299301e-17
relative error = 2.9852998623218895290892233556039e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.613
y[1] (analytic) = 0.3353433427236494786691039226459
y[1] (numeric) = 0.33534334272364948868132415246443
absolute error = 1.001222022981853e-17
relative error = 2.9856624403214778350346313479902e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=488.3MB, alloc=4.4MB, time=49.97
NO POLE
x[1] = -0.612
y[1] (analytic) = 0.3356999124443275026862076813148
y[1] (numeric) = 0.33569991244432751271024673619029
absolute error = 1.002403905487549e-17
relative error = 2.9860118168895493377727215120489e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.611
y[1] (analytic) = 0.3360566000145287157273996351417
y[1] (numeric) = 0.33605660001452872576321945402886
absolute error = 1.003581981888716e-17
relative error = 2.9863480790001690122947758097823e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.61
y[1] (analytic) = 0.3364134053814791025056057473275
y[1] (numeric) = 0.33641340538147911255316841920096
absolute error = 1.004756267187346e-17
relative error = 2.9866713130768178158899955288847e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=492.1MB, alloc=4.4MB, time=50.36
NO POLE
x[1] = -0.609
y[1] (analytic) = 0.3367703284924597025245637328034
y[1] (numeric) = 0.33677032849245971258383149595918
absolute error = 1.005926776315578e-17
relative error = 2.9869816049964174021801598700309e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.608
y[1] (analytic) = 0.337127369294806513278246628754
y[1] (numeric) = 0.33712736929480652334918187011378
absolute error = 1.007093524135978e-17
relative error = 2.9872790400927332660466192738698e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.607
y[1] (analytic) = 0.3374845277359103936912294903164
y[1] (numeric) = 0.33748452773591040377379474473631
absolute error = 1.008256525441991e-17
relative error = 2.9875637031602690899950470801073e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=495.9MB, alloc=4.4MB, time=50.76
NO POLE
x[1] = -0.606
y[1] (analytic) = 0.3378418037632169677992248554435
y[1] (numeric) = 0.33784180376321697789338280502597
absolute error = 1.009415794958247e-17
relative error = 2.9878356784577073583909591376144e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.605
y[1] (analytic) = 0.3381991973242265286690156689324
y[1] (numeric) = 0.3381991973242265387747291423421
absolute error = 1.010571347340970e-17
relative error = 2.9880950497116358165064670733007e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.604
y[1] (analytic) = 0.3385567083664939425570173874764
y[1] (numeric) = 0.33855670836649395267424935925987
absolute error = 1.011723197178347e-17
relative error = 2.9883419001201352516596509437790e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=499.7MB, alloc=4.4MB, time=51.17
NO POLE
x[1] = -0.603
y[1] (analytic) = 0.3389143368376285533057040053616
y[1] (numeric) = 0.33891433683762856343441759526996
absolute error = 1.012871358990836e-17
relative error = 2.9885763123561676276727566354436e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.602
y[1] (analytic) = 0.3392720826852940869771357441775
y[1] (numeric) = 0.33927208268529409711729421649381
absolute error = 1.014015847231631e-17
relative error = 2.9887983685714085689228732971813e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.601
y[1] (analytic) = 0.3396299458572085567228291397283
y[1] (numeric) = 0.33962994585720856687439590259767
absolute error = 1.015156676286937e-17
relative error = 2.9890081503994991883394507149428e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=503.5MB, alloc=4.4MB, time=51.56
NO POLE
x[1] = -0.6
y[1] (analytic) = 0.339987926301144167889213235273
y[1] (numeric) = 0.33998792630114417805215184003641
absolute error = 1.016293860476341e-17
relative error = 2.9892057389595627142693347695243e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.599
y[1] (analytic) = 0.3403460239649272233579185523844
y[1] (numeric) = 0.34034602396492723353219269291636
absolute error = 1.017427414053196e-17
relative error = 2.9893912148597400696374116408280e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.598
y[1] (analytic) = 0.3407042387964380291201484591584
y[1] (numeric) = 0.34070423879643803930572197120799
absolute error = 1.018557351204959e-17
relative error = 2.9895646582005710645004859243271e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=507.3MB, alloc=4.4MB, time=51.95
x[1] = -0.597
y[1] (analytic) = 0.3410625707436108000843854903034
y[1] (numeric) = 0.3410625707436108102812223508386
absolute error = 1.019683686053520e-17
relative error = 2.9897261485783307931517054753887e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.596
y[1] (analytic) = 0.3414210197544335661166880948681
y[1] (numeric) = 0.34142101975443357632475242142422
absolute error = 1.020806432655612e-17
relative error = 2.9898757650885851415561427366037e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.595
y[1] (analytic) = 0.3417795857769480783128361951003
y[1] (numeric) = 0.34177958577694808853209224513127
absolute error = 1.021925605003097e-17
relative error = 2.9900135863293639670494921959513e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.594
y[1] (analytic) = 0.3421382687592497155015868342311
y[1] (numeric) = 0.34213826875924972573199900446453
absolute error = 1.023041217023343e-17
relative error = 2.9901396904045831282173829324124e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=511.1MB, alloc=4.4MB, time=52.34
NO POLE
x[1] = -0.593
y[1] (analytic) = 0.3424970686494873909783040719342
y[1] (numeric) = 0.3424970686494874012198368977297
absolute error = 1.024153282579550e-17
relative error = 2.9902541549272989121011546117704e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.592
y[1] (analytic) = 0.3428559853958634594682301538762
y[1] (numeric) = 0.34285598539586346972084830858726
absolute error = 1.025261815471106e-17
relative error = 2.9903570570230323100867754783561e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.591
y[1] (analytic) = 0.3432150189466336243186678362317
y[1] (numeric) = 0.34321501894663363458233613057093
absolute error = 1.026366829433923e-17
relative error = 2.9904484733330169233752442808681e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=515.0MB, alloc=4.4MB, time=52.74
NO POLE
x[1] = -0.59
y[1] (analytic) = 0.3435741692501068449193465873502
y[1] (numeric) = 0.34357416925010685519402996875792
absolute error = 1.027468338140772e-17
relative error = 2.9905284800174263310854206936963e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.589
y[1] (analytic) = 0.3439334362546452443502482170042
y[1] (numeric) = 0.34393343625464525463591176902006
absolute error = 1.028566355201586e-17
relative error = 2.9905971527584909112548670269448e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.588
y[1] (analytic) = 0.344292819908664017256170298885
y[1] (numeric) = 0.3442928199086640275527792405237
absolute error = 1.029660894163870e-17
relative error = 2.9906545667639086226157834158118e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=518.8MB, alloc=4.4MB, time=53.12
NO POLE
x[1] = -0.587
y[1] (analytic) = 0.3446523201606313379473085543215
y[1] (numeric) = 0.34465232016063134825482823945107
absolute error = 1.030751968512957e-17
relative error = 2.9907007967697902907335335975504e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.586
y[1] (analytic) = 0.3450119369590682687251421546318
y[1] (numeric) = 0.34501193695906827904353807135531
absolute error = 1.031839591672351e-17
relative error = 2.9907359170438412943100692115744e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.585
y[1] (analytic) = 0.3453716702525486684329086761621
y[1] (numeric) = 0.34537167025254867876214644620341
absolute error = 1.032923777004131e-17
relative error = 2.9907600013887026230231305578354e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=522.6MB, alloc=4.4MB, time=53.50
NO POLE
x[1] = -0.584
y[1] (analytic) = 0.3457315199896991012299582059826
y[1] (numeric) = 0.34573151998969911157000358407391
absolute error = 1.034004537809131e-17
relative error = 2.9907731231446257812584589645347e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.583
y[1] (analytic) = 0.3460914861191987455892788474528
y[1] (numeric) = 0.34609148611919875594009772072673
absolute error = 1.035081887327393e-17
relative error = 2.9907753551929223977548923668319e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.582
y[1] (analytic) = 0.346451568589779303517488613533
y[1] (numeric) = 0.34645156858977931387904700091739
absolute error = 1.036155838738439e-17
relative error = 2.9907667699588724546641599146571e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=526.4MB, alloc=4.4MB, time=53.89
NO POLE
x[1] = -0.581
y[1] (analytic) = 0.3468117673502249099965914218385
y[1] (numeric) = 0.34681176735022492036885547345432
absolute error = 1.037226405161582e-17
relative error = 2.9907474394147293947164143985623e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.58
y[1] (analytic) = 0.3471720823493720426467976190994
y[1] (numeric) = 0.34717208234937205302973361566175
absolute error = 1.038293599656235e-17
relative error = 2.9907174350827032823617556867681e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.579
y[1] (analytic) = 0.3475325135361094316097121639543
y[1] (numeric) = 0.34753251353610944200328651617728
absolute error = 1.039357435222298e-17
relative error = 2.9906768280381523486181831211282e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=530.2MB, alloc=4.4MB, time=54.29
NO POLE
x[1] = -0.578
y[1] (analytic) = 0.3478930608593779696511962859454
y[1] (numeric) = 0.3478930608593779800553755339487
absolute error = 1.040417924800330e-17
relative error = 2.9906256889121391713763294909786e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.577
y[1] (analytic) = 0.3482537242681706224832111152425
y[1] (numeric) = 0.34825372426817063289796192796306
absolute error = 1.041475081272056e-17
relative error = 2.9905640878949353804276295413428e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.576
y[1] (analytic) = 0.3486145037115323393039544421032
y[1] (numeric) = 0.34861450371153234972924361670774
absolute error = 1.042528917460454e-17
relative error = 2.9904920947383022792969483259066e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=534.0MB, alloc=4.4MB, time=54.69
NO POLE
x[1] = -0.575
y[1] (analytic) = 0.3489753991385599635556044173891
y[1] (numeric) = 0.34897539913855997399139887869197
absolute error = 1.043579446130287e-17
relative error = 2.9904097787590349027405942018236e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.574
y[1] (analytic) = 0.3493364104984021438989866457298
y[1] (numeric) = 0.3493364104984021543452534456118
absolute error = 1.044626679988200e-17
relative error = 2.9903172088412412899516874209124e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.573
y[1] (analytic) = 0.3496975377402592454044837511535
y[1] (numeric) = 0.34969753774025925586119006798564
absolute error = 1.045670631683214e-17
relative error = 2.9902144534397452879375394093163e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=537.8MB, alloc=4.4MB, time=55.08
NO POLE
x[1] = -0.572
y[1] (analytic) = 0.3500587808133832609585091113151
y[1] (numeric) = 0.35005878081338327142562224938378
absolute error = 1.046711313806868e-17
relative error = 2.9901015805824651099699376809530e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.571
y[1] (analytic) = 0.3504201396670777228848690608505
y[1] (numeric) = 0.35042013966707773336235644978671
absolute error = 1.047748738893621e-17
relative error = 2.9899786578735214913871554410057e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.57
y[1] (analytic) = 0.3507816142506976147803404569847
y[1] (numeric) = 0.3507816142506976252681696511959
absolute error = 1.048782919421120e-17
relative error = 2.9898457524959469548712833989262e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=541.7MB, alloc=4.4MB, time=55.47
NO POLE
x[1] = -0.569
y[1] (analytic) = 0.3511432045136492835637930813434
y[1] (numeric) = 0.35114320451364929406193175944848
absolute error = 1.049813867810508e-17
relative error = 2.9897029312144945607806857106561e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.568
y[1] (analytic) = 0.3515049104053903517381889210497
y[1] (numeric) = 0.35150491040539036224660488531634
absolute error = 1.050841596426664e-17
relative error = 2.9895502603782381543582755663659e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.567
y[1] (analytic) = 0.3518667318754296298647929296749
y[1] (numeric) = 0.35186673187542964038345410546069
absolute error = 1.051866117578579e-17
relative error = 2.9893878059235453537038864013071e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=545.5MB, alloc=4.4MB, time=55.86
NO POLE
x[1] = -0.566
y[1] (analytic) = 0.3522286688733270292489324145308
y[1] (numeric) = 0.35222866887332703977780684972688
absolute error = 1.052887443519608e-17
relative error = 2.9892156333766824201790299446576e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.565
y[1] (analytic) = 0.3525907213486934748366447311836
y[1] (numeric) = 0.35259072134869348537570059566116
absolute error = 1.053905586447756e-17
relative error = 2.9890338078565017459274219699409e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.564
y[1] (analytic) = 0.3529528892511908183215554890116
y[1] (numeric) = 0.35295288925119082887076107407129
absolute error = 1.054920558505969e-17
relative error = 2.9888423940771291808227949888558e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=549.3MB, alloc=4.4MB, time=56.26
NO POLE
x[1] = -0.563
y[1] (analytic) = 0.3533151725305317514613319831722
y[1] (numeric) = 0.3533151725305317620206557009963
absolute error = 1.055932371782410e-17
relative error = 2.9886414563505945724639673881050e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.562
y[1] (analytic) = 0.353677571136479719603059068549
y[1] (numeric) = 0.35367757113647973017246945165684
absolute error = 1.056941038310784e-17
relative error = 2.9884310585895868615050520073826e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.561
y[1] (analytic) = 0.354040085018848835416887180179
y[1] (numeric) = 0.35404008501884884599635288088483
absolute error = 1.057946570070583e-17
relative error = 2.9882112643099684536798511050072e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=553.1MB, alloc=4.4MB, time=56.65
NO POLE
x[1] = -0.56
y[1] (analytic) = 0.3544027141275037928373046823655
y[1] (numeric) = 0.35440271412750380342679447223931
absolute error = 1.058948978987381e-17
relative error = 2.9879821366334173858756785241619e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.559
y[1] (analytic) = 0.3547654584123597812113891952304
y[1] (numeric) = 0.35476545841235979181087196456146
absolute error = 1.059948276933106e-17
relative error = 2.9877437382899905823498786755568e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.558
y[1] (analytic) = 0.3551283178233823996533950029019
y[1] (numeric) = 0.35512831782338241026283976016538
absolute error = 1.060944475726348e-17
relative error = 2.9874961316207748823106425939398e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=556.9MB, alloc=4.4MB, time=57.05
NO POLE
x[1] = -0.557
y[1] (analytic) = 0.3554912923105875716050360919323
y[1] (numeric) = 0.3554912923105875822244119632582
absolute error = 1.061937587132590e-17
relative error = 2.9872393785803073218564388384191e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.556
y[1] (analytic) = 0.3558543818240414596008268019474
y[1] (numeric) = 0.35585438182404147023010303059258
absolute error = 1.062927622864518e-17
relative error = 2.9869735407392046796248830706919e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.555
y[1] (analytic) = 0.3562175863138603802378444930097
y[1] (numeric) = 0.3562175863138603908769904388322
absolute error = 1.063914594582250e-17
relative error = 2.9866986792865516102376117656739e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=560.7MB, alloc=4.4MB, time=57.44
NO POLE
x[1] = -0.554
y[1] (analytic) = 0.356580905730210719349281045777
y[1] (numeric) = 0.35658090573021072999826618471393
absolute error = 1.064898513893693e-17
relative error = 2.9864148550326351895686634876610e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.553
y[1] (analytic) = 0.3569443400233088473811524113278
y[1] (numeric) = 0.35694434002330885803994633487512
absolute error = 1.065879392354732e-17
relative error = 2.9861221284111941235638628513435e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.552
y[1] (analytic) = 0.3573078891434210349715378175414
y[1] (numeric) = 0.35730788914342104564011023223661
absolute error = 1.066857241469521e-17
relative error = 2.9858205594819417074773958490923e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.551
memory used=564.5MB, alloc=4.4MB, time=57.85
y[1] (analytic) = 0.3576715530408633687317226182399
y[1] (numeric) = 0.3576715530408633794100433451478
absolute error = 1.067832072690790e-17
relative error = 2.9855102079331201257733433633777e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.55
y[1] (analytic) = 0.3580353316660016672286211399639
y[1] (numeric) = 0.35803533166600167791666011416407
absolute error = 1.068803897420017e-17
relative error = 2.9851911330836641045634210218125e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.549
y[1] (analytic) = 0.3583992249692513971678582393167
y[1] (numeric) = 0.35839922496925140786558550939498
absolute error = 1.069772727007828e-17
relative error = 2.9848633938859895107384760802128e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.548
y[1] (analytic) = 0.3587632329010775897768906313463
y[1] (numeric) = 0.35876323290107760048427635888749
absolute error = 1.070738572754119e-17
relative error = 2.9845270489279920416371675266840e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=568.4MB, alloc=4.4MB, time=58.24
NO POLE
x[1] = -0.547
y[1] (analytic) = 0.3591273554119947573875513864637
y[1] (numeric) = 0.35912735541199476810456584554766
absolute error = 1.071701445908396e-17
relative error = 2.9841821564356427163813167636277e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.546
y[1] (analytic) = 0.3594915924525668102174033200089
y[1] (numeric) = 0.3594915924525668209440168967095
absolute error = 1.072661357670060e-17
relative error = 2.9838287742754165148632194006403e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.545
y[1] (analytic) = 0.3598559439734069733492893148005
y[1] (numeric) = 0.3598559439734069840854725066862
absolute error = 1.073618319188570e-17
relative error = 2.9834669599563691419187298827553e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=572.2MB, alloc=4.4MB, time=58.65
NO POLE
x[1] = -0.544
y[1] (analytic) = 0.3602204099251777039084699229006
y[1] (numeric) = 0.36022040992517771465419333853854
absolute error = 1.074572341563794e-17
relative error = 2.9830967706327249748063107605772e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.543
y[1] (analytic) = 0.3605849902585906084367408884607
y[1] (numeric) = 0.3605849902585906191919752469228
absolute error = 1.075523435846210e-17
relative error = 2.9827182631060351944988929415177e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.542
y[1] (analytic) = 0.3609496849244063604629255189154
y[1] (numeric) = 0.36094968492440637122764164928699
absolute error = 1.076471613037159e-17
relative error = 2.9823314938274687562740456219409e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=576.0MB, alloc=4.4MB, time=59.05
NO POLE
x[1] = -0.541
y[1] (analytic) = 0.3613144938734346182691391070326
y[1] (numeric) = 0.36131449387343462904330794792383
absolute error = 1.077416884089123e-17
relative error = 2.9819365189001605172578360606906e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.54
y[1] (analytic) = 0.3616794170565339428522248714526
y[1] (numeric) = 0.36167941705653395363581747051244
absolute error = 1.078359259905984e-17
relative error = 2.9815333940814944453612540971605e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.539
y[1] (analytic) = 0.3620444544246117160797631384087
y[1] (numeric) = 0.36204445442461172687275065184103
absolute error = 1.079298751343233e-17
relative error = 2.9811221747852367254353937483766e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=579.8MB, alloc=4.4MB, time=59.45
NO POLE
x[1] = -0.538
y[1] (analytic) = 0.3624096059286240590400577323688
y[1] (numeric) = 0.3624096059286240698424114244511
absolute error = 1.080235369208230e-17
relative error = 2.9807029160837984944513997035511e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.537
y[1] (analytic) = 0.3627748715195757505855057784265
y[1] (numeric) = 0.36277487151957576139719702103107
absolute error = 1.081169124260457e-17
relative error = 2.9802756727104673972849010854703e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.536
y[1] (analytic) = 0.3631402511485201460687593444473
y[1] (numeric) = 0.36314025114852015688975961656521
absolute error = 1.082100027211791e-17
relative error = 2.9798404990616825173085926248663e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=583.6MB, alloc=4.4MB, time=59.84
NO POLE
x[1] = -0.535
y[1] (analytic) = 0.3635057447665590962710895662954
y[1] (numeric) = 0.36350574476655910710137045356232
absolute error = 1.083028088726692e-17
relative error = 2.9793974491990635061590014168997e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.534
y[1] (analytic) = 0.363871352324842866522366104974
y[1] (numeric) = 0.36387135232484287736189929919895
absolute error = 1.083953319422495e-17
relative error = 2.9789465768517150389968015658493e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.533
y[1] (analytic) = 0.3642370737745700560120669802674
y[1] (numeric) = 0.36423707377457006686082427896344
absolute error = 1.084875729869604e-17
relative error = 2.9784879354182500610854082709469e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=587.4MB, alloc=4.4MB, time=60.24
NO POLE
x[1] = -0.532
y[1] (analytic) = 0.3646029090669875172907360115124
y[1] (numeric) = 0.36460290906698752814868931743009
absolute error = 1.085795330591769e-17
relative error = 2.9780215779690302143300086705218e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.531
y[1] (analytic) = 0.3649688581533902759613072725133
y[1] (numeric) = 0.36496885815339028682842859317644
absolute error = 1.086712132066314e-17
relative error = 2.9775475572482602296598494961560e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.53
y[1] (analytic) = 0.3653349209851214505597181343872
y[1] (numeric) = 0.36533492098512146143597958163067
absolute error = 1.087626144724347e-17
relative error = 2.9770659256760221467089076695294e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=591.3MB, alloc=4.4MB, time=60.63
NO POLE
x[1] = -0.529
y[1] (analytic) = 0.3657010975135721726242346273383
y[1] (numeric) = 0.36570109751357218350960841684881
absolute error = 1.088537378951051e-17
relative error = 2.9765767353505204799625792389673e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.528
y[1] (analytic) = 0.3660673876901815069529150000635
y[1] (numeric) = 0.36606738769018151784737345092216
absolute error = 1.089445845085866e-17
relative error = 2.9760800380500178086778052583868e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.527
y[1] (analytic) = 0.3664337914664363720486394937249
y[1] (numeric) = 0.36643379146643638295215502795207
absolute error = 1.090351553422717e-17
relative error = 2.9755758852348859369675896815127e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=595.1MB, alloc=4.4MB, time=61.03
NO POLE
x[1] = -0.526
y[1] (analytic) = 0.366800308793871460751136476247
y[1] (numeric) = 0.3668003087938714716636816183501
absolute error = 1.091254514210310e-17
relative error = 2.9750643280498317794828071858873e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.525
y[1] (analytic) = 0.3671669396240691610554372021517
y[1] (numeric) = 0.3671669396240691719769845786745
absolute error = 1.092154737652280e-17
relative error = 2.9745454173257084480807510544024e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.524
y[1] (analytic) = 0.3675336839086594771161935732718
y[1] (numeric) = 0.36753368390865948804671591234684
absolute error = 1.093052233907504e-17
relative error = 2.9740192035817660433040473792762e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=598.9MB, alloc=4.4MB, time=61.43
NO POLE
x[1] = -0.523
y[1] (analytic) = 0.3679005415993199504372953765496
y[1] (numeric) = 0.3679005415993199613767655074519
absolute error = 1.093947013090230e-17
relative error = 2.9734857370273904420780388213266e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.522
y[1] (analytic) = 0.3682675126477755812462255667536
y[1] (numeric) = 0.36826751264777559219461641945752
absolute error = 1.094839085270392e-17
relative error = 2.9729450675643383412148812951782e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.521
y[1] (analytic) = 0.3686345970057987500525942444077
y[1] (numeric) = 0.3686345970057987610098788491454
absolute error = 1.095728460473770e-17
relative error = 2.9723972447885400493770026317402e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=602.7MB, alloc=4.4MB, time=61.82
NO POLE
x[1] = -0.52
y[1] (analytic) = 0.3690017946252091393902940525425
y[1] (numeric) = 0.36900179462520915035644553936501
absolute error = 1.096615148682251e-17
relative error = 2.9718423179921667859545984028535e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.519
y[1] (analytic) = 0.3693691054578736557427217801168
y[1] (numeric) = 0.36936910545787366671771337845758
absolute error = 1.097499159834078e-17
relative error = 2.9712803361656547053207613942261e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.518
y[1] (analytic) = 0.3697365294557063516505130151517
y[1] (numeric) = 0.36973652945570636263431805339125
absolute error = 1.098380503823955e-17
relative error = 2.9707113479993289215858037942552e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=606.5MB, alloc=4.4MB, time=62.23
NO POLE
x[1] = -0.517
y[1] (analytic) = 0.3701040665706683480012387368133
y[1] (numeric) = 0.37010406657066835899383064184745
absolute error = 1.099259190503415e-17
relative error = 2.9701354018857299905099533964018e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.516
y[1] (analytic) = 0.3704717167547677565005147729389
y[1] (numeric) = 0.3704717167547677675018670697481
absolute error = 1.100135229680920e-17
relative error = 2.9695525459212046490066207807363e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.515
y[1] (analytic) = 0.3708394799600596023239770778368
y[1] (numeric) = 0.37083947996005961333406338905847
absolute error = 1.101008631122167e-17
relative error = 2.9689628279080440842813631572777e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=610.3MB, alloc=4.4MB, time=62.62
NO POLE
x[1] = -0.514
y[1] (analytic) = 0.3712073561386457469495778046839
y[1] (numeric) = 0.37120735613864575796837185018592
absolute error = 1.101879404550202e-17
relative error = 2.9683662953560937455140390503613e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.513
y[1] (analytic) = 0.3715753452426748111696591575082
y[1] (numeric) = 0.3715753452426748221971347539658
absolute error = 1.102747559645760e-17
relative error = 2.9677629954849632864483635522729e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.512
y[1] (analytic) = 0.3719434472243420982822640096523
y[1] (numeric) = 0.37194344722434210931839507012592
absolute error = 1.103613106047362e-17
relative error = 2.9671529752255715251610085894520e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=614.1MB, alloc=4.4MB, time=63.02
NO POLE
x[1] = -0.511
y[1] (analytic) = 0.3723116620358895174611442687789
y[1] (numeric) = 0.37231166203588952850590480229517
absolute error = 1.104476053351627e-17
relative error = 2.9665362812222611612309787735450e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.51
y[1] (analytic) = 0.3726799896296055073039299529798
y[1] (numeric) = 0.37267998962960551835729406411333
absolute error = 1.105336411113353e-17
relative error = 2.9659129598342825600551257566196e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.509
y[1] (analytic) = 0.3730484299578249595579239183932
y[1] (numeric) = 0.37304842995782497061986580685211
absolute error = 1.106194188845891e-17
relative error = 2.9652830571380555947038846805587e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=618.0MB, alloc=4.4MB, time=63.42
x[1] = -0.508
y[1] (analytic) = 0.3734169829729291430229891460027
y[1] (numeric) = 0.37341698297292915409348310621482
absolute error = 1.107049396021212e-17
relative error = 2.9646466189285973761091494299022e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.507
y[1] (analytic) = 0.3737856486273456276309974539853
y[1] (numeric) = 0.37378564862734563871001787468728
absolute error = 1.107902042070198e-17
relative error = 2.9640036907215422148677608787122e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.506
y[1] (analytic) = 0.3741544268735482087013104521802
y[1] (numeric) = 0.37415442687354821978883181600837
absolute error = 1.108752136382817e-17
relative error = 2.9633543177548410024099640143374e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.505
y[1] (analytic) = 0.374523317664056831371765496975
y[1] (numeric) = 0.37452331766405684246776238005793
absolute error = 1.109599688308293e-17
relative error = 2.9626985449904385843723298311921e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=621.8MB, alloc=4.4MB, time=63.81
NO POLE
x[1] = -0.504
y[1] (analytic) = 0.3748923209514375152046413382102
y[1] (numeric) = 0.37489232095143752630908840976447
absolute error = 1.110444707155427e-17
relative error = 2.9620364171163453851312979275300e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.503
y[1] (analytic) = 0.3752614366883022789670800746315
y[1] (numeric) = 0.37526143668830229007995209655797
absolute error = 1.111287202192647e-17
relative error = 2.9613679785479760075993873667703e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.502
y[1] (analytic) = 0.3756306648273090655854439509927
y[1] (numeric) = 0.37563066482730907670671577747562
absolute error = 1.112127182648292e-17
relative error = 2.9606932734301042432292778632338e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=625.6MB, alloc=4.4MB, time=64.20
NO POLE
x[1] = -0.501
y[1] (analytic) = 0.3760000053211616672730874382041
y[1] (numeric) = 0.37600000532116167840273401531253
absolute error = 1.112964657710843e-17
relative error = 2.9600123456386669460968846407615e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.5
y[1] (analytic) = 0.3763694581226096508310269379457
y[1] (numeric) = 0.37636945812260966196902330323645
absolute error = 1.113799636529075e-17
relative error = 2.9593252387823487148562697835136e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.499
y[1] (analytic) = 0.3767390231844482831209923449749
y[1] (numeric) = 0.37673902318444829426731362709681
absolute error = 1.114632128212191e-17
relative error = 2.9586319962041107908094708414501e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=629.4MB, alloc=4.4MB, time=64.59
NO POLE
x[1] = -0.498
y[1] (analytic) = 0.3771087004595184567103465839932
y[1] (numeric) = 0.37710870045951846786496800229503
absolute error = 1.115462141830183e-17
relative error = 2.9579326609833142236490928073909e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.497
y[1] (analytic) = 0.3774784899007066156883611134465
y[1] (numeric) = 0.37747848990070662685125797758523
absolute error = 1.116289686413873e-17
relative error = 2.9572272759369841296294046861951e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.496
y[1] (analytic) = 0.3778483914609446816533372560317
y[1] (numeric) = 0.37784839146094469282448496558364
absolute error = 1.117114770955194e-17
relative error = 2.9565158836217029893901520307368e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=633.2MB, alloc=4.4MB, time=64.98
NO POLE
x[1] = -0.495
y[1] (analytic) = 0.3782184050932099798700650750469
y[1] (numeric) = 0.37821840509320999104943911912044
absolute error = 1.117937404407354e-17
relative error = 2.9557985263351847693935714578574e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.494
y[1] (analytic) = 0.3785885307505251655971133670602
y[1] (numeric) = 0.37858853075052517678468932391046
absolute error = 1.118757595685026e-17
relative error = 2.9550752461179097569475367890467e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.493
y[1] (analytic) = 0.3789587683859581505834461847428
y[1] (numeric) = 0.37895876838595816177919972138839
absolute error = 1.119575353664559e-17
relative error = 2.9543460847548064884583689921290e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=637.0MB, alloc=4.4MB, time=65.37
NO POLE
x[1] = -0.492
y[1] (analytic) = 0.3793291179526220297338631391482
y[1] (numeric) = 0.37932911795262204093777001098958
absolute error = 1.120390687184138e-17
relative error = 2.9536110837767906288304212257242e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.491
y[1] (analytic) = 0.3796995794036750079427625582589
y[1] (numeric) = 0.37969957940367501915479860869888
absolute error = 1.121203605043998e-17
relative error = 2.9528702844624383016913423644886e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.49
y[1] (analytic) = 0.3800701526923203270957283983101
y[1] (numeric) = 0.38007015269232033831586955837606
absolute error = 1.122014116006596e-17
relative error = 2.9521237278395403570524747241831e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=640.8MB, alloc=4.4MB, time=65.76
NO POLE
x[1] = -0.489
y[1] (analytic) = 0.3804408377718061932384436162681
y[1] (numeric) = 0.38044083777180620446666590423647
absolute error = 1.122822228796837e-17
relative error = 2.9513714546867907157022167095068e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.488
y[1] (analytic) = 0.380811634595425703912434515936
y[1] (numeric) = 0.38081163459542571514871403695795
absolute error = 1.123627952102195e-17
relative error = 2.9506135055351903363676470480213e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.487
y[1] (analytic) = 0.3811825431165167756571523765097
y[1] (numeric) = 0.38118254311651678690146532223904
absolute error = 1.124431294572934e-17
relative error = 2.9498499206697065310544902605628e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=644.7MB, alloc=4.4MB, time=66.15
NO POLE
x[1] = -0.486
y[1] (analytic) = 0.3815535632884620716779004610632
y[1] (numeric) = 0.38155356328846208293022310928635
absolute error = 1.125232264822315e-17
relative error = 2.9490807401308871020985546451682e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.485
y[1] (analytic) = 0.3819246950646889296791162834325
y[1] (numeric) = 0.38192469506468894093942499769975
absolute error = 1.126030871426725e-17
relative error = 2.9483060037162620245152840249967e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.484
y[1] (analytic) = 0.3822959383986692898625207853308
y[1] (numeric) = 0.38229593839866930113079201458999
absolute error = 1.126827122925919e-17
relative error = 2.9475257509820337196585628898048e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=648.5MB, alloc=4.4MB, time=66.54
NO POLE
x[1] = -0.483
y[1] (analytic) = 0.3826672932439196230896478413111
y[1] (numeric) = 0.38266729324391963436585811954235
absolute error = 1.127621027823125e-17
relative error = 2.9467400212444006409371519582471e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.482
y[1] (analytic) = 0.3830387595540008592082692674164
y[1] (numeric) = 0.38303875955400087049239521326956
absolute error = 1.128412594585316e-17
relative error = 2.9459488535813103026796780541688e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.481
y[1] (analytic) = 0.3834103372825183155422322600811
y[1] (numeric) = 0.3834103372825183268342505765144
absolute error = 1.129201831643330e-17
relative error = 2.9451522868338068227627353474944e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=652.3MB, alloc=4.4MB, time=66.92
NO POLE
x[1] = -0.48
y[1] (analytic) = 0.3837820263831216255442279350842
y[1] (numeric) = 0.38378202638312163684411540900448
absolute error = 1.129988747392028e-17
relative error = 2.9443503596074707887842921358890e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.479
y[1] (analytic) = 0.3841538268095046676110113721602
y[1] (numeric) = 0.38415382680950467891874487406539
absolute error = 1.130773350190519e-17
relative error = 2.9435431102740263035124417675452e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.478
y[1] (analytic) = 0.3845257385154054940605952992766
y[1] (numeric) = 0.3845257385154055053761517829002
absolute error = 1.131555648362360e-17
relative error = 2.9427305769728748120576386303931e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=656.1MB, alloc=4.4MB, time=67.30
NO POLE
x[1] = -0.477
y[1] (analytic) = 0.3848977614546062602709412716236
y[1] (numeric) = 0.38489776145460627159429777357989
absolute error = 1.132335650195629e-17
relative error = 2.9419127976122911898005397276993e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.476
y[1] (analytic) = 0.3852698955809331539796739140648
y[1] (numeric) = 0.38526989558093316531080755349663
absolute error = 1.133113363943183e-17
relative error = 2.9410898098710941861006444982058e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.475
y[1] (analytic) = 0.385642140848256324744345502218
y[1] (numeric) = 0.38564214084825633608323348044606
absolute error = 1.133888797822806e-17
relative error = 2.9402616512000230523726678870320e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=659.9MB, alloc=4.4MB, time=67.69
NO POLE
x[1] = -0.474
y[1] (analytic) = 0.3860144972104898135627798564878
y[1] (numeric) = 0.38601449721048982490939945666176
absolute error = 1.134661960017396e-17
relative error = 2.9394283588232083231064633048602e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.473
y[1] (analytic) = 0.3863869646215914826530262153091
y[1] (numeric) = 0.38638696462159149400735480206021
absolute error = 1.135432858675111e-17
relative error = 2.9385899697395290587502706020513e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.472
y[1] (analytic) = 0.3867595430355629453924554386081
y[1] (numeric) = 0.38675954303556295675447045770355
absolute error = 1.136201501909545e-17
relative error = 2.9377465207240408827006370069079e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=663.7MB, alloc=4.4MB, time=68.08
NO POLE
x[1] = -0.471
y[1] (analytic) = 0.3871322324064494964155325700863
y[1] (numeric) = 0.38713223240644950778521154808541
absolute error = 1.136967897799911e-17
relative error = 2.9368980483294149148313459773821e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.47
y[1] (analytic) = 0.3875050326883400418698014574148
y[1] (numeric) = 0.38750503268834005324712200132684
absolute error = 1.137732054391204e-17
relative error = 2.9360445888873178419879193460821e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.469
y[1] (analytic) = 0.3878779438353670298296187928264
y[1] (numeric) = 0.38787794383536704121455858977001
absolute error = 1.138493979694361e-17
relative error = 2.9351861785097773400879823729063e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=667.5MB, alloc=4.4MB, time=68.47
NO POLE
x[1] = -0.468
y[1] (analytic) = 0.3882509658017063808671765929472
y[1] (numeric) = 0.3882509658017063922597134098115
absolute error = 1.139253681686430e-17
relative error = 2.9343228530905638448391651864791e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.467
y[1] (analytic) = 0.3886240985415774187803537860517
y[1] (numeric) = 0.38862409854157743018046546915885
absolute error = 1.140011168310715e-17
relative error = 2.9334546483065036369950821903269e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.466
y[1] (analytic) = 0.388997342009242801476939217288
y[1] (numeric) = 0.38899734200924281288460369205817
absolute error = 1.140766447477017e-17
relative error = 2.9325815996190321795561174734101e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=671.4MB, alloc=4.4MB, time=68.85
x[1] = -0.465
y[1] (analytic) = 0.3893706961590084520147700178437
y[1] (numeric) = 0.38937069615900846342996528846075
absolute error = 1.141519527061705e-17
relative error = 2.9317037422753029318233434967943e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.464
y[1] (analytic) = 0.3897441609452234897973309125279
y[1] (numeric) = 0.38974416094522350122003506160704
absolute error = 1.142270414907914e-17
relative error = 2.9308211113096166500512349425571e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.463
y[1] (analytic) = 0.3901177363222801619243616618832
y[1] (numeric) = 0.39011773632228017335455285014031
absolute error = 1.143019118825711e-17
relative error = 2.9299337415447614495212375291743e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.462
y[1] (analytic) = 0.3904914222446137746970214497309
y[1] (numeric) = 0.39049142224461378613467791565369
absolute error = 1.143765646592279e-17
relative error = 2.9290416675933922600868859862678e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=675.2MB, alloc=4.4MB, time=69.26
NO POLE
x[1] = -0.461
y[1] (analytic) = 0.3908652186667026252771606350359
y[1] (numeric) = 0.39086521866670263672226069455608
absolute error = 1.144510005952018e-17
relative error = 2.9281449238591910014133969894639e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.46
y[1] (analytic) = 0.3912391255430679335002518881803
y[1] (numeric) = 0.39123912554306794495277393434812
absolute error = 1.145252204616782e-17
relative error = 2.9272435445383686956553631054655e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.459
y[1] (analytic) = 0.3916131428282737738415343262022
y[1] (numeric) = 0.3916131428282737853014568288615
absolute error = 1.145992250265930e-17
relative error = 2.9263375636206849836659827874030e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=679.0MB, alloc=4.4MB, time=69.65
NO POLE
x[1] = -0.458
y[1] (analytic) = 0.3919872704769270075349258493004
y[1] (numeric) = 0.3919872704769270190022273547666
absolute error = 1.146730150546620e-17
relative error = 2.9254270148910826824201841421454e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.457
y[1] (analytic) = 0.3923615084436772148442604619889
y[1] (numeric) = 0.39236150844367722631891959272715
absolute error = 1.147465913073825e-17
relative error = 2.9245119319306054131645899225416e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.456
y[1] (analytic) = 0.3927358566832166274864089367025
y[1] (numeric) = 0.3927358566832166389684043910086
absolute error = 1.148199545430610e-17
relative error = 2.9235923481179754969298386076552e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=682.8MB, alloc=4.4MB, time=70.03
NO POLE
x[1] = -0.455
y[1] (analytic) = 0.3931103151502800612058427454797
y[1] (numeric) = 0.39311031515028007269515329716166
absolute error = 1.148931055168196e-17
relative error = 2.9226682966306219400474749030099e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.454
y[1] (analytic) = 0.3934848837996448485002027465742
y[1] (numeric) = 0.39348488379964485999680724463594
absolute error = 1.149660449806174e-17
relative error = 2.9217398104460846896596775184922e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.453
y[1] (analytic) = 0.3938595625861307714964356675362
y[1] (numeric) = 0.39385956258613078300031303586255
absolute error = 1.150387736832635e-17
relative error = 2.9208069223431985262169442695531e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=686.6MB, alloc=4.4MB, time=70.42
NO POLE
x[1] = -0.452
y[1] (analytic) = 0.3942343514645999949770629744679
y[1] (numeric) = 0.39423435146460000648819221151085
absolute error = 1.151112923704295e-17
relative error = 2.9198696649032584386647412644337e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.451
y[1] (analytic) = 0.3946092503899569995561482588378
y[1] (numeric) = 0.39460925038995701107450843730478
absolute error = 1.151836017846698e-17
relative error = 2.9189280705113769322517561158376e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.45
y[1] (analytic) = 0.3949842593171485150045308084656
y[1] (numeric) = 0.39498425931714852653010107500919
absolute error = 1.152557026654359e-17
relative error = 2.9179821713576826046230227361491e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=690.4MB, alloc=4.4MB, time=70.81
NO POLE
x[1] = -0.449
y[1] (analytic) = 0.3953593782011634537238945580902
y[1] (numeric) = 0.39535937820116346525665413299862
absolute error = 1.153275957490842e-17
relative error = 2.9170319994383483888672654359297e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.448
y[1] (analytic) = 0.3957346069970328443692431373395
y[1] (numeric) = 0.39573460699703285590917131422965
absolute error = 1.153992817689015e-17
relative error = 2.9160775865570621071072428835817e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.447
y[1] (analytic) = 0.3961099456598297656193532499739
y[1] (numeric) = 0.39610994565982977716642939548531
absolute error = 1.154707614551141e-17
relative error = 2.9151189643260755218256229351819e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=694.3MB, alloc=4.4MB, time=71.20
NO POLE
x[1] = -0.446
y[1] (analytic) = 0.3964853941446692800947801279863
y[1] (numeric) = 0.39648539414466929164898368147623
absolute error = 1.155420355348993e-17
relative error = 2.9141561641673088357099720475160e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.445
y[1] (analytic) = 0.3968609524067083684229903075576
y[1] (numeric) = 0.3968609524067083799843007807985
absolute error = 1.156131047324090e-17
relative error = 2.9131892173137546838290976169973e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.444
y[1] (analytic) = 0.3972366204011458634501984710161
y[1] (numeric) = 0.39723662040114587501859544789367
absolute error = 1.156839697687757e-17
relative error = 2.9122181548104319630280448671307e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=698.1MB, alloc=4.4MB, time=71.60
NO POLE
x[1] = -0.443
y[1] (analytic) = 0.3976123980832223845994865898483
y[1] (numeric) = 0.39761239808322239617494972606136
absolute error = 1.157546313621306e-17
relative error = 2.9112430075156394262282722554080e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.442
y[1] (analytic) = 0.3979882854082202723747850885079
y[1] (numeric) = 0.39798828540822028395729411127005
absolute error = 1.158250902276215e-17
relative error = 2.9102638061021979990955814060205e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.441
y[1] (analytic) = 0.3983642823314635230102972272846
y[1] (numeric) = 0.3983642823314635345998319350265
absolute error = 1.158953470774190e-17
relative error = 2.9092805810583932049835240905937e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=701.9MB, alloc=4.4MB, time=71.99
NO POLE
x[1] = -0.44
y[1] (analytic) = 0.3987403888083177232649493748547
y[1] (numeric) = 0.39874038880831773486148963692851
absolute error = 1.159654026207381e-17
relative error = 2.9082933626892993104185420931035e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.439
y[1] (analytic) = 0.3991166047941899853614513073844
y[1] (numeric) = 0.39911660479418999696497706376913
absolute error = 1.160352575638473e-17
relative error = 2.9073021811177836222938797290694e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.438
y[1] (analytic) = 0.3994929302445288820695521312032
y[1] (numeric) = 0.39949293024452889368004339221195
absolute error = 1.161049126100875e-17
relative error = 2.9063070662857512450353139043795e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=705.7MB, alloc=4.4MB, time=72.37
NO POLE
x[1] = -0.437
y[1] (analytic) = 0.3998693651148243819330788801581
y[1] (numeric) = 0.39986936511482439355051572614628
absolute error = 1.161743684598818e-17
relative error = 2.9053080479551560521980705139731e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.436
y[1] (analytic) = 0.4002459093606077846403462868117
y[1] (numeric) = 0.40024590936060779626470886788698
absolute error = 1.162436258107528e-17
relative error = 2.9043051557091941491403764160055e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.435
y[1] (analytic) = 0.4006225629374516565375276687017
y[1] (numeric) = 0.40062256293745166816879620443475
absolute error = 1.163126853573305e-17
relative error = 2.9032984189532567757117094626602e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=709.5MB, alloc=4.4MB, time=72.77
NO POLE
x[1] = -0.434
y[1] (analytic) = 0.4009993258009697662845783069505
y[1] (numeric) = 0.40099932580096977792273308608822
absolute error = 1.163815477913772e-17
relative error = 2.9022878669163025786776120247120e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.433
y[1] (analytic) = 0.4013761979068170206533041246485
y[1] (numeric) = 0.40137619790681703229832550482752
absolute error = 1.164502138017902e-17
relative error = 2.9012735286516698513833249666848e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.432
y[1] (analytic) = 0.4017531792106894004671698966364
y[1] (numeric) = 0.40175317921068941211903830409829
absolute error = 1.165186840746189e-17
relative error = 2.9002554330382434176370768342133e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=713.3MB, alloc=4.4MB, time=73.16
NO POLE
x[1] = -0.431
y[1] (analytic) = 0.4021302696683238966824426406361
y[1] (numeric) = 0.40213026966832390834113856994425
absolute error = 1.165869592930815e-17
relative error = 2.8992336087816057865228164851651e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.43
y[1] (analytic) = 0.4025074692354984466102672521353
y[1] (numeric) = 0.40250746923549845827577126589267
absolute error = 1.166550401375737e-17
relative error = 2.8982080844149838575217917226929e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.429
y[1] (analytic) = 0.4028847778680318702792728520504
y[1] (numeric) = 0.40288477786803188195156558061934
absolute error = 1.167229272856894e-17
relative error = 2.8971788883004889287611431945896e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=717.1MB, alloc=4.4MB, time=73.55
NO POLE
x[1] = -0.428
y[1] (analytic) = 0.4032621955217838069383097170126
y[1] (numeric) = 0.40326219552178381861737185823502
absolute error = 1.167906214122242e-17
relative error = 2.8961460486299239860471800431293e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.427
y[1] (analytic) = 0.4036397221526546516989180571522
y[1] (numeric) = 0.40363972215265466338473037607165
absolute error = 1.168581231891945e-17
relative error = 2.8951095934259737038104533171531e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.426
y[1] (analytic) = 0.4040173577165854923171312955463
y[1] (numeric) = 0.40401735771658550400967462413163
absolute error = 1.169254332858533e-17
relative error = 2.8940695505433068468984256283906e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=721.0MB, alloc=4.4MB, time=73.94
NO POLE
x[1] = -0.425
y[1] (analytic) = 0.4043951021695580461142178870546
y[1] (numeric) = 0.40439510216955805781347312392428
absolute error = 1.169925523686968e-17
relative error = 2.8930259476694457415941581191934e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.424
y[1] (analytic) = 0.4047729554675945970359670921293
y[1] (numeric) = 0.40477295546759460874191520227758
absolute error = 1.170594811014828e-17
relative error = 2.8919788123259231403291390062508e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.423
y[1] (analytic) = 0.4051509175667579328501254933833
y[1] (numeric) = 0.40515091756675794456274750790719
absolute error = 1.171262201452389e-17
relative error = 2.8909281718691815901609580436466e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=724.8MB, alloc=4.4MB, time=74.33
x[1] = -0.422
y[1] (analytic) = 0.4055289884231512824815924092481
y[1] (numeric) = 0.40552898842315129420086942507617
absolute error = 1.171927701582807e-17
relative error = 2.8898740534917150930150097535501e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.421
y[1] (analytic) = 0.4059071679929182534849837199915
y[1] (numeric) = 0.40590716799291826521089689961369
absolute error = 1.172591317962219e-17
relative error = 2.8888164842230055569495827480501e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.42
y[1] (analytic) = 0.4062854562322427696541749767082
y[1] (numeric) = 0.40628545623224278138670554790666
absolute error = 1.173253057119846e-17
relative error = 2.8877554909304596586451725739723e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.419
y[1] (analytic) = 0.4066638530973490087684360136789
y[1] (numeric) = 0.40666385309734902050756526926065
absolute error = 1.173912925558175e-17
relative error = 2.8866911003205354540402930517350e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=728.6MB, alloc=4.4MB, time=74.72
NO POLE
x[1] = -0.418
y[1] (analytic) = 0.407042358544501340474770628742
y[1] (numeric) = 0.40704235854450135222047992627251
absolute error = 1.174570929753051e-17
relative error = 2.8856233389396423058311817720289e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.417
y[1] (analytic) = 0.4074209725300042643060762350542
y[1] (numeric) = 0.40742097253000427605834699659234
absolute error = 1.175227076153814e-17
relative error = 2.8845522331751469480161099104575e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.416
y[1] (analytic) = 0.4077996950102023478347397208696
y[1] (numeric) = 0.40779969501020235959355343270358
absolute error = 1.175881371183398e-17
relative error = 2.8834778092562814604758695147584e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=732.4MB, alloc=4.4MB, time=75.13
NO POLE
x[1] = -0.415
y[1] (analytic) = 0.4081785259414801649612870817574
y[1] (numeric) = 0.40817852594148017672662529414254
absolute error = 1.176533821238514e-17
relative error = 2.8824000932552526733678981399464e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.414
y[1] (analytic) = 0.4085574652802622343377057120417
y[1] (numeric) = 0.40855746528026224610955003893858
absolute error = 1.177184432689688e-17
relative error = 2.8813191110879911791271455523061e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.413
y[1] (analytic) = 0.4089365129830129579250595591942
y[1] (numeric) = 0.40893651298301296970339167800905
absolute error = 1.177833211881485e-17
relative error = 2.8802348885153517001719082716030e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=736.2MB, alloc=4.4MB, time=75.52
NO POLE
x[1] = -0.412
y[1] (analytic) = 0.4093156690062365596850186564888
y[1] (numeric) = 0.40931566900623657146982030781435
absolute error = 1.178480165132555e-17
relative error = 2.8791474511438725915937801596311e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.411
y[1] (analytic) = 0.4096949333064770244049258554361
y[1] (numeric) = 0.40969493330647703619617884279376
absolute error = 1.179125298735766e-17
relative error = 2.8780568244267441510715518782007e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.41
y[1] (analytic) = 0.4100743058403180366560248804034
y[1] (numeric) = 0.41007430584031804845371106998701
absolute error = 1.179768618958361e-17
relative error = 2.8769630336648307482196628079359e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=740.0MB, alloc=4.4MB, time=75.91
NO POLE
x[1] = -0.409
y[1] (analytic) = 0.4104537865643829198844751234044
y[1] (numeric) = 0.41045378656438293168857644382498
absolute error = 1.180410132042058e-17
relative error = 2.8758661040075490764834358890331e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.408
y[1] (analytic) = 0.4108333754353345756347798873392
y[1] (numeric) = 0.41083337543533458744527832937078
absolute error = 1.181049844203158e-17
relative error = 2.8747660604537616668146634426781e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.407
y[1] (analytic) = 0.4112130724098754229052560710072
y[1] (numeric) = 0.41121307240987543472213368733392
absolute error = 1.181687761632672e-17
relative error = 2.8736629278527123091048359887598e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=743.8MB, alloc=4.4MB, time=76.29
NO POLE
x[1] = -0.406
y[1] (analytic) = 0.4115928774447473376351745690265
y[1] (numeric) = 0.41159287744474734945841347399104
absolute error = 1.182323890496454e-17
relative error = 2.8725567309049715204960005482355e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.405
y[1] (analytic) = 0.4119727904967315923232019343969
y[1] (numeric) = 0.41197279049673160415278430375008
absolute error = 1.182958236935318e-17
relative error = 2.8714474941633385883368091624393e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.404
y[1] (analytic) = 0.4123528115226487957767751208654
y[1] (numeric) = 0.4123528115226488076126831915164
absolute error = 1.183590807065100e-17
relative error = 2.8703352420336058828891978409435e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=747.7MB, alloc=4.4MB, time=76.68
NO POLE
x[1] = -0.403
y[1] (analytic) = 0.4127329404793588329920423865142
y[1] (numeric) = 0.41273294047935884483425845628294
absolute error = 1.184221606976874e-17
relative error = 2.8692199987756927028636354077885e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.402
y[1] (analytic) = 0.4131131773237608051640046991263
y[1] (numeric) = 0.41311317732376081701251112649607
absolute error = 1.184850642736977e-17
relative error = 2.8681017885043111458570645074330e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.401
y[1] (analytic) = 0.4134935220127929698264932378971
y[1] (numeric) = 0.41349352201279298168127244176902
absolute error = 1.185477920387192e-17
relative error = 2.8669806351900110378050221824690e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=751.5MB, alloc=4.4MB, time=77.07
NO POLE
x[1] = -0.4
y[1] (analytic) = 0.413873974503432681121619835001
y[1] (numeric) = 0.41387397450343269298265429444895
absolute error = 1.186103445944795e-17
relative error = 2.8658565626598911168793172811928e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.399
y[1] (analytic) = 0.4142545347526963301983384443886
y[1] (numeric) = 0.41425453475269634206561069841602
absolute error = 1.186727225402742e-17
relative error = 2.8647295945986448687488020901970e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.398
y[1] (analytic) = 0.4146352027176392857397569640294
y[1] (numeric) = 0.41463520271763929761324961132681
absolute error = 1.187349264729741e-17
relative error = 2.8635997545493238596289754180632e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=755.3MB, alloc=4.4MB, time=77.46
NO POLE
x[1] = -0.397
y[1] (analytic) = 0.4150159783553558346188399716304
y[1] (numeric) = 0.41501597835535584649853567033377
absolute error = 1.187969569870337e-17
relative error = 2.8624670659141287970439122492768e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.396
y[1] (analytic) = 0.4153968616229791226821441626888
y[1] (numeric) = 0.41539686162297913456802563014007
absolute error = 1.188588146745127e-17
relative error = 2.8613315519555097939462246196926e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.395
y[1] (analytic) = 0.4157778524776810956612295036018
y[1] (numeric) = 0.41577785247768110755327951610932
absolute error = 1.189205001250752e-17
relative error = 2.8601932357967248369010842092289e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=759.1MB, alloc=4.4MB, time=77.85
NO POLE
x[1] = -0.394
y[1] (analytic) = 0.4161589508766724402113903314639
y[1] (numeric) = 0.4161589508766724521095917240645
absolute error = 1.189820139260060e-17
relative error = 2.8590521404228066784673006741853e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.393
y[1] (analytic) = 0.4165401567772025250773518461812
y[1] (numeric) = 0.41654015677720253698168751240377
absolute error = 1.190433566622257e-17
relative error = 2.8579082886814962003261163372267e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.392
y[1] (analytic) = 0.4169214701365593423855786496257
y[1] (numeric) = 0.41692147013655935429603154125507
absolute error = 1.191045289162937e-17
relative error = 2.8567617032838810158835131455572e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=762.9MB, alloc=4.4MB, time=78.24
NO POLE
x[1] = -0.391
y[1] (analytic) = 0.4173028909120694490628431907673
y[1] (numeric) = 0.41730289091206946097939631760984
absolute error = 1.191655312684254e-17
relative error = 2.8556124068053714303009146044657e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.39
y[1] (analytic) = 0.4176844190610979083807031750911
y[1] (numeric) = 0.41768441906109792030333960474107
absolute error = 1.192263642964997e-17
relative error = 2.8544604216864393945215815563329e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.389
y[1] (analytic) = 0.4180660545410482316255381911378
y[1] (numeric) = 0.41806605454104824355424104874512
absolute error = 1.192870285760732e-17
relative error = 2.8533057702335142444457184530328e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=766.7MB, alloc=4.4MB, time=78.62
NO POLE
x[1] = -0.388
y[1] (analytic) = 0.4184477973093623198937969967337
y[1] (numeric) = 0.41844779730936233182854946477242
absolute error = 1.193475246803872e-17
relative error = 2.8521484746197020394639443952640e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.387
y[1] (analytic) = 0.4188296473235204060121080924142
y[1] (numeric) = 0.41882964732352041795289341045219
absolute error = 1.194078531803799e-17
relative error = 2.8509885568856256838487086619220e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.386
y[1] (analytic) = 0.4192116045410409965819073897222
y[1] (numeric) = 0.41921160454104100852870885419218
absolute error = 1.194680146446998e-17
relative error = 2.8498260389402896390403259869759e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=770.5MB, alloc=4.4MB, time=79.00
NO POLE
x[1] = -0.385
y[1] (analytic) = 0.4195936689194808141482379574979
y[1] (numeric) = 0.41959366891948082610103892146885
absolute error = 1.195280096397095e-17
relative error = 2.8486609425617116731634530428542e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.384
y[1] (analytic) = 0.4199758404164347394923779999876
y[1] (numeric) = 0.4199758404164347514511618729381
absolute error = 1.195878387295050e-17
relative error = 2.8474932893979207799745869715666e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.383
y[1] (analytic) = 0.4203581189895357540479543866216
y[1] (numeric) = 0.42035811898953576601270463421343
absolute error = 1.196475024759183e-17
relative error = 2.8463231009675529188185220548262e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=774.4MB, alloc=4.4MB, time=79.39
x[1] = -0.382
y[1] (analytic) = 0.4207405045964548824402002146457
y[1] (numeric) = 0.42074050459645489441090035849909
absolute error = 1.197070014385339e-17
relative error = 2.8451503986607744174829885658021e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.381
y[1] (analytic) = 0.4211229971949011351480160424827
y[1] (numeric) = 0.42112299719490114712464965995232
absolute error = 1.197663361746962e-17
relative error = 2.8439752037399847922773658559565e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.38
y[1] (analytic) = 0.42150559674262145128849558375
y[1] (numeric) = 0.42150559674262146327104630770182
absolute error = 1.198255072395182e-17
relative error = 2.8427975373405471160121956828185e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.379
y[1] (analytic) = 0.4218883031974006415235777993023
y[1] (numeric) = 0.42188830319740065351202931789182
absolute error = 1.198845151858952e-17
relative error = 2.8416174204716334556313243841504e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=778.2MB, alloc=4.4MB, time=79.78
NO POLE
x[1] = -0.378
y[1] (analytic) = 0.4222711165170613310884884675209
y[1] (numeric) = 0.42227111651706134308282452397262
absolute error = 1.199433605645172e-17
relative error = 2.8404348740170354516281634655122e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.377
y[1] (analytic) = 0.4226540366594639029416354513545
y[1] (numeric) = 0.42265403665946391494183984374123
absolute error = 1.200020439238673e-17
relative error = 2.8392499187356397731497676032967e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.376
y[1] (analytic) = 0.4230370635825064410356230143456
y[1] (numeric) = 0.42303706358250645304167959537045
absolute error = 1.200605658102485e-17
relative error = 2.8380625752625728442318627485624e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=782.0MB, alloc=4.4MB, time=80.17
NO POLE
x[1] = -0.375
y[1] (analytic) = 0.4234201972441246737090516670945
y[1] (numeric) = 0.42342019724412468572094434387262
absolute error = 1.201189267677812e-17
relative error = 2.8368728641096478864827729035683e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.374
y[1] (analytic) = 0.4238034376022919171987711503039
y[1] (numeric) = 0.42380343760229192921648388414586
absolute error = 1.201771273384196e-17
relative error = 2.8356808056662560077149980056995e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.373
y[1] (analytic) = 0.4241867846150190192722552807715
y[1] (numeric) = 0.42418678461501903129577208696708
absolute error = 1.202351680619558e-17
relative error = 2.8344864201999629995735394622559e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=785.8MB, alloc=4.4MB, time=80.56
NO POLE
x[1] = -0.372
y[1] (analytic) = 0.424570238240354302979768502444
y[1] (numeric) = 0.42457023824035431500907345004761
absolute error = 1.202930494760361e-17
relative error = 2.8332897278573907536144793461028e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.371
y[1] (analytic) = 0.4249537984363835105259950959578
y[1] (numeric) = 0.42495379843638352256107230757475
absolute error = 1.203507721161695e-17
relative error = 2.8320907486649108545428567798147e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.37
y[1] (analytic) = 0.425337465161229747260803106973
y[1] (numeric) = 0.4253374651612297593016367585463
absolute error = 1.204083365157330e-17
relative error = 2.8308895025292596808605769628139e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=789.6MB, alloc=4.4MB, time=80.95
NO POLE
x[1] = -0.369
y[1] (analytic) = 0.4257212383730534257888161560867
y[1] (numeric) = 0.42572123837305343783539047668549
absolute error = 1.204657432059879e-17
relative error = 2.8296860092384090557091911385377e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.368
y[1] (analytic) = 0.4261051180300522101974673912123
y[1] (numeric) = 0.42610511803005222224976666282058
absolute error = 1.205229927160828e-17
relative error = 2.8284802884621205508067686539823e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.367
y[1] (analytic) = 0.4264891040904609604032109370407
y[1] (numeric) = 0.42648910409046097246121949434771
absolute error = 1.205800855730701e-17
relative error = 2.8272723597528138186979519219185e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=793.4MB, alloc=4.4MB, time=81.34
NO POLE
x[1] = -0.366
y[1] (analytic) = 0.4268731965125516766155672855954
y[1] (numeric) = 0.42687319651255168867926951578613
absolute error = 1.206370223019073e-17
relative error = 2.8260622425460746412455924542068e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.365
y[1] (analytic) = 0.4272573952546334439186801569551
y[1] (numeric) = 0.42725739525463345598806049950287
absolute error = 1.206938034254777e-17
relative error = 2.8248499561616147734763850364460e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.364
y[1] (analytic) = 0.4276417002750523769700634399893
y[1] (numeric) = 0.42764170027505238904510638644812
absolute error = 1.207504294645882e-17
relative error = 2.8236355198036915917715554598517e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=797.3MB, alloc=4.4MB, time=81.73
NO POLE
x[1] = -0.363
y[1] (analytic) = 0.4280261115321915648162178994244
y[1] (numeric) = 0.42802611153219157689690799322312
absolute error = 1.208069009379872e-17
relative error = 2.8224189525619955486058674426772e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.362
y[1] (analytic) = 0.428410628984471015824798407782
y[1] (numeric) = 0.42841062898447102791112024401893
absolute error = 1.208632183623693e-17
relative error = 2.8212002734122252004183884298757e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.361
y[1] (analytic) = 0.4287952525903476027330135286973
y[1] (numeric) = 0.42879525259034761482495175393631
absolute error = 1.209193822523901e-17
relative error = 2.8199795012168951481309003448910e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=801.1MB, alloc=4.4MB, time=82.12
NO POLE
x[1] = -0.36
y[1] (analytic) = 0.4291799823083150078119403418769
y[1] (numeric) = 0.42917998230831501990947965394353
absolute error = 1.209753931206663e-17
relative error = 2.8187566547257975792036285941719e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.359
y[1] (analytic) = 0.4295648180969036681464384594903
y[1] (numeric) = 0.42956481809690368024956360726966
absolute error = 1.210312514777936e-17
relative error = 2.8175317525768761585503895685478e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.358
y[1] (analytic) = 0.4299497599146807210303482391495
y[1] (numeric) = 0.42994975991468073313904402238487
absolute error = 1.210869578323537e-17
relative error = 2.8163048132968421613475171940814e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=804.9MB, alloc=4.4MB, time=82.51
NO POLE
x[1] = -0.357
y[1] (analytic) = 0.4303348077202499494766592498135
y[1] (numeric) = 0.43033480772024996159091051890554
absolute error = 1.211425126909204e-17
relative error = 2.8150758553017668344125812545491e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.356
y[1] (analytic) = 0.4307199614722517278423360939924
y[1] (numeric) = 0.43071996147225173996212774979971
absolute error = 1.211979165580731e-17
relative error = 2.8138448968978428319454032929898e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.355
y[1] (analytic) = 0.4311052211293629675674897325362
y[1] (numeric) = 0.43110522112936297969280672617612
absolute error = 1.212531699363992e-17
relative error = 2.8126119562818845349116584264561e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=808.7MB, alloc=4.4MB, time=82.89
NO POLE
x[1] = -0.354
y[1] (analytic) = 0.4314905866502970630285834970859
y[1] (numeric) = 0.43149058665029707515941082973724
absolute error = 1.213082733265134e-17
relative error = 2.8113770515422177954912257560252e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.353
y[1] (analytic) = 0.4318760579938038375053640099752
y[1] (numeric) = 0.43187605799380384964168673268107
absolute error = 1.213632272270587e-17
relative error = 2.8101402006591416218678022399926e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.352
y[1] (analytic) = 0.4322616351186694892612082619961
y[1] (numeric) = 0.43226163511866950140301147546764
absolute error = 1.214180321347154e-17
relative error = 2.8089014215055728989801553751027e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=812.5MB, alloc=4.4MB, time=83.28
NO POLE
x[1] = -0.351
y[1] (analytic) = 0.4326473179837165377365791250204
y[1] (numeric) = 0.43264731798371654988384797944201
absolute error = 1.214726885442161e-17
relative error = 2.8076607318478267732507536858787e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.35
y[1] (analytic) = 0.4330331065478037698552825990097
y[1] (numeric) = 0.43303310654780378200800229384438
absolute error = 1.215271969483468e-17
relative error = 2.8064181493460723023748121898372e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.349
y[1] (analytic) = 0.4334190007698261864432211114628
y[1] (numeric) = 0.4334190007698261986013768952589
absolute error = 1.215815578379610e-17
relative error = 2.8051736915550860361896813624714e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=816.3MB, alloc=4.4MB, time=83.67
NO POLE
x[1] = -0.348
y[1] (analytic) = 0.4338050006087149487593382018742
y[1] (numeric) = 0.43380500060871496092291537207302
absolute error = 1.216357717019882e-17
relative error = 2.8039273759248729061190750803344e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.347
y[1] (analytic) = 0.4341911060234373251384509343137
y[1] (numeric) = 0.43419110602343733730743483705756
absolute error = 1.216898390274386e-17
relative error = 2.8026792198011967013132216507432e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.346
y[1] (analytic) = 0.4345773169729966377456673878104
y[1] (numeric) = 0.43457731697299664992004341775222
absolute error = 1.217437602994182e-17
relative error = 2.8014292404263474446576154617104e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=820.1MB, alloc=4.4MB, time=84.05
NO POLE
x[1] = -0.345
y[1] (analytic) = 0.4349636334164322094420875768562
y[1] (numeric) = 0.43496363341643222162184117696929
absolute error = 1.217975360011309e-17
relative error = 2.8001774549396062167100258604004e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.344
y[1] (analytic) = 0.4353500553128193107614871530393
y[1] (numeric) = 0.43535005531281932294660381442843
absolute error = 1.218511666138913e-17
relative error = 2.7989238803779536926124918243603e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.343
y[1] (analytic) = 0.4357365826212691069976842336118
y[1] (numeric) = 0.4357365826212691191881494953249
absolute error = 1.219046526171310e-17
relative error = 2.7976685336766261420006314657832e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.342
memory used=824.0MB, alloc=4.4MB, time=84.44
y[1] (analytic) = 0.4361232153009286054022906936897
y[1] (numeric) = 0.43612321530092861759809014253035
absolute error = 1.219579944884065e-17
relative error = 2.7964114316697055618481863888490e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.341
y[1] (analytic) = 0.4365099533109806024925502458053
y[1] (numeric) = 0.43650995331098061469366951614676
absolute error = 1.220111927034146e-17
relative error = 2.7951525910908788903696442178459e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.34
y[1] (analytic) = 0.4368967966106436314689666136988
y[1] (numeric) = 0.43689679661064364367539138729782
absolute error = 1.220642477359902e-17
relative error = 2.7938920285737907442550862396655e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.339
y[1] (analytic) = 0.4372837451591719097424260865535
y[1] (numeric) = 0.43728374515917192195414209236561
absolute error = 1.221171600581211e-17
relative error = 2.7926297606527834410889482963150e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=827.8MB, alloc=4.4MB, time=84.83
NO POLE
x[1] = -0.338
y[1] (analytic) = 0.437670798915855286570519715385
y[1] (numeric) = 0.43767079891585529878751272938055
absolute error = 1.221699301399555e-17
relative error = 2.7913658037634666955117739185607e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.337
y[1] (analytic) = 0.4380579578400191908027713849865
y[1] (numeric) = 0.43805795784001920302502722996751
absolute error = 1.222225584498101e-17
relative error = 2.7901001742432983802037707321101e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.336
y[1] (analytic) = 0.438445221891024578734478962739
y[1] (numeric) = 0.43844522189102459096198350815653
absolute error = 1.222750454541753e-17
relative error = 2.7888328883320964525076521417359e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=831.6MB, alloc=4.4MB, time=85.22
NO POLE
x[1] = -0.335
y[1] (analytic) = 0.438832591028267882068876689728
y[1] (numeric) = 0.43883259102826789430161585150115
absolute error = 1.223273916177315e-17
relative error = 2.7875639621728014970015037136424e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.334
y[1] (analytic) = 0.4392200652111809559873279399921
y[1] (numeric) = 0.43922006521118096822528768032677
absolute error = 1.223795974033467e-17
relative error = 2.7862934118118098580773817320825e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.333
y[1] (analytic) = 0.4396076443992310273272584303641
y[1] (numeric) = 0.43960764439923103957042475757341
absolute error = 1.224316632720931e-17
relative error = 2.7850212531997375913618554854276e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=835.4MB, alloc=4.4MB, time=85.60
NO POLE
x[1] = -0.332
y[1] (analytic) = 0.439995328551920642867540916293
y[1] (numeric) = 0.43999532855192065511589988461799
absolute error = 1.224835896832499e-17
relative error = 2.7837475021918671123011411553447e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.331
y[1] (analytic) = 0.4403831176287876177210433582464
y[1] (numeric) = 0.44038311762878762997458106767779
absolute error = 1.225353770943139e-17
relative error = 2.7824721745487689756062751710375e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.33
y[1] (analytic) = 0.440771011589404983834053488825
y[1] (numeric) = 0.44077101158940499609275608492563
absolute error = 1.225870259610063e-17
relative error = 2.7811952859368345289228975044076e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=839.2MB, alloc=4.4MB, time=85.99
NO POLE
x[1] = -0.329
y[1] (analytic) = 0.4411590103933809385922936525765
y[1] (numeric) = 0.44115901039338095085614732630488
absolute error = 1.226385367372838e-17
relative error = 2.7799168519289035932410712615647e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.328
y[1] (analytic) = 0.4415471140003587935332407287015
y[1] (numeric) = 0.44154711400035880580223171623556
absolute error = 1.226899098753406e-17
relative error = 2.7786368880046831039945598574982e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.327
y[1] (analytic) = 0.441935322370016923164466881405
y[1] (numeric) = 0.44193532237001693543858146396728
absolute error = 1.227411458256228e-17
relative error = 2.7773554095514444912904850732098e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=843.0MB, alloc=4.4MB, time=86.39
NO POLE
x[1] = -0.326
y[1] (analytic) = 0.4423236354620687138877178135947
y[1] (numeric) = 0.4423236354620687261669423172775
absolute error = 1.227922450368280e-17
relative error = 2.7760724318643831495671158018618e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.325
y[1] (analytic) = 0.4427120532362625130284461269578
y[1] (numeric) = 0.44271205323626252531276692255025
absolute error = 1.228432079559245e-17
relative error = 2.7747879701474190969268004384242e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.324
y[1] (analytic) = 0.4431005756523815779705183152027
y[1] (numeric) = 0.44310057565238159025992181801755
absolute error = 1.228940350281485e-17
relative error = 2.7735020395134972753256612409902e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=846.8MB, alloc=4.4MB, time=86.77
NO POLE
x[1] = -0.323
y[1] (analytic) = 0.4434892026702440253958148374173
y[1] (numeric) = 0.44348920267024403769028750711892
absolute error = 1.229447266970162e-17
relative error = 2.7722146549852225948478321678718e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.322
y[1] (analytic) = 0.4438779342497027806284436351169
y[1] (numeric) = 0.44387793424970279292797197555021
absolute error = 1.229952834043331e-17
relative error = 2.7709258314954289098777528817795e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.321
y[1] (analytic) = 0.4442667703506455270832883696266
y[1] (numeric) = 0.44426677035064553938785892864638
absolute error = 1.230457055901978e-17
relative error = 2.7696355838876215541826227496494e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=850.7MB, alloc=4.4MB, time=87.16
NO POLE
x[1] = -0.32
y[1] (analytic) = 0.4446557109329946558186135659894
y[1] (numeric) = 0.44465571093299466812821293529072
absolute error = 1.230959936930132e-17
relative error = 2.7683439269165843180534267883371e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.319
y[1] (analytic) = 0.4450447559567072151924497556308
y[1] (numeric) = 0.44504475595670722750706457058013
absolute error = 1.231461481494933e-17
relative error = 2.7670508752488847168748428591254e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.318
y[1] (analytic) = 0.4454339053817748606224826125521
y[1] (numeric) = 0.44543390538177487294209955201871
absolute error = 1.231961693946661e-17
relative error = 2.7657564434632893948229411938055e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=854.5MB, alloc=4.4MB, time=87.55
NO POLE
x[1] = -0.317
y[1] (analytic) = 0.4458231591682238044491709768865
y[1] (numeric) = 0.4458231591682238167737767630752
absolute error = 1.232460578618870e-17
relative error = 2.7644606460514132081487902282756e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.316
y[1] (analytic) = 0.4462125172761147659018195552551
y[1] (numeric) = 0.44621251727611477823140095353954
absolute error = 1.232958139828444e-17
relative error = 2.7631634974181904398749158433623e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.315
y[1] (analytic) = 0.4466019796655429211673329795085
y[1] (numeric) = 0.44660197966554293350187679826521
absolute error = 1.233454381875671e-17
relative error = 2.7618650118823841846924444995284e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=858.3MB, alloc=4.4MB, time=87.94
NO POLE
x[1] = -0.314
y[1] (analytic) = 0.4469915462966378535613787941593
y[1] (numeric) = 0.44699154629663786590087188460235
absolute error = 1.233949309044305e-17
relative error = 2.7605652036770665532117345840783e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.313
y[1] (analytic) = 0.4473812171295635038016878281111
y[1] (numeric) = 0.44738121712956351614611708412748
absolute error = 1.234442925601638e-17
relative error = 2.7592640869501190457456723247149e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.312
y[1] (analytic) = 0.4477709921245181203832212881874
y[1] (numeric) = 0.44777099212451813273257364617361
absolute error = 1.234935235798621e-17
relative error = 2.7579616757648400681677095475024e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=862.1MB, alloc=4.4MB, time=88.33
NO POLE
x[1] = -0.311
y[1] (analytic) = 0.448160871241734210054934790477
y[1] (numeric) = 0.44816087124173422240919722917533
absolute error = 1.235426243869833e-17
relative error = 2.7566579841002104349754948617416e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.31
y[1] (analytic) = 0.4485508544414784883978704206448
y[1] (numeric) = 0.44855085444147850075702996098156
absolute error = 1.235915954033676e-17
relative error = 2.7553530258516616516006232692252e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.309
y[1] (analytic) = 0.4489409416840518305043087861458
y[1] (numeric) = 0.44894094168405184286835249106951
absolute error = 1.236404370492371e-17
relative error = 2.7540468148313972438972135706350e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=865.9MB, alloc=4.4MB, time=88.71
NO POLE
x[1] = -0.308
y[1] (analytic) = 0.4493311329297892217577138917108
y[1] (numeric) = 0.4493311329297892341266288660312
absolute error = 1.236891497432040e-17
relative error = 2.7527393647689041237625549898434e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.307
y[1] (analytic) = 0.4497214281390597087132045345864
y[1] (numeric) = 0.4497214281390597210869779248144
absolute error = 1.237377339022800e-17
relative error = 2.7514306893114882882560198429606e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.306
y[1] (analytic) = 0.4501118272722663500782867778086
y[1] (numeric) = 0.4501118272722663624569057719966
absolute error = 1.237861899418800e-17
relative error = 2.7501208020246814064682847966425e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=869.7MB, alloc=4.4MB, time=89.10
NO POLE
x[1] = -0.305
y[1] (analytic) = 0.4505023302898461677935829182865
y[1] (numeric) = 0.45050233028984618017703474586948
absolute error = 1.238345182758298e-17
relative error = 2.7488097163927343898749656497813e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.304
y[1] (analytic) = 0.4508929371522700982132932216877
y[1] (numeric) = 0.45089293715227011060156515332576
absolute error = 1.238827193163806e-17
relative error = 2.7474974458192595154453019997033e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.303
y[1] (analytic) = 0.4512836478200429433851275480654
y[1] (numeric) = 0.45128364782004295577820689548569
absolute error = 1.239307934742029e-17
relative error = 2.7461840036274130415991395806926e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.302
y[1] (analytic) = 0.4516744622537033224294448408504
y[1] (numeric) = 0.45167446225370333482731895669057
absolute error = 1.239787411584017e-17
relative error = 2.7448694030605487560388388960931e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=873.6MB, alloc=4.4MB, time=89.49
NO POLE
x[1] = -0.301
y[1] (analytic) = 0.4520653804138236230173392972878
y[1] (numeric) = 0.45206538041382363541999557494025
absolute error = 1.240265627765245e-17
relative error = 2.7435536572827091638842099920535e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.3
y[1] (analytic) = 0.4524564022610099529474128806185
y[1] (numeric) = 0.45245640226100996535483875407482
absolute error = 1.240742587345632e-17
relative error = 2.7422367793789796066221370353759e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.299
y[1] (analytic) = 0.4528475277559020918209746733152
y[1] (numeric) = 0.45284752775590210423315761701163
absolute error = 1.241218294369643e-17
relative error = 2.7409187823560241257664691960622e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=877.4MB, alloc=4.4MB, time=89.88
NO POLE
x[1] = -0.298
y[1] (analytic) = 0.4532387568591734428154084064984
y[1] (numeric) = 0.45323875685917345523233593516188
absolute error = 1.241692752866348e-17
relative error = 2.7395996791425239719242576459220e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.297
y[1] (analytic) = 0.4536300895315309845554503332852
y[1] (numeric) = 0.45363008953153099697711000177996
absolute error = 1.242165966849476e-17
relative error = 2.7382794825896031130138705105557e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.296
y[1] (analytic) = 0.454021525733715223082120443283
y[1] (numeric) = 0.45402152573371523550849984645794
absolute error = 1.242637940317494e-17
relative error = 2.7369582054713068938883019283479e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=881.2MB, alloc=4.4MB, time=90.26
NO POLE
x[1] = -0.295
y[1] (analytic) = 0.4544130654265001439190508417434
y[1] (numeric) = 0.45441306542650015635013761428052
absolute error = 1.243108677253712e-17
relative error = 2.7356358604851357251204322736175e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.294
y[1] (analytic) = 0.4548047085706931642359559400541
y[1] (numeric) = 0.45480470857069317667173775631677
absolute error = 1.243578181626267e-17
relative error = 2.7343124602523102510381391161081e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.293
y[1] (analytic) = 0.4551964551271350851089899242749
y[1] (numeric) = 0.45519645512713509754945449815736
absolute error = 1.244046457388246e-17
relative error = 2.7329880173183407937928319632244e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=885.0MB, alloc=4.4MB, time=90.64
NO POLE
x[1] = -0.292
y[1] (analytic) = 0.4555883050567000438777377853464
y[1] (numeric) = 0.45558830505670005632287287012392
absolute error = 1.244513508477752e-17
relative error = 2.7316625441534690270140395191886e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.291
y[1] (analytic) = 0.4559802583202954665985870084144
y[1] (numeric) = 0.45598025832029547904838039659396
absolute error = 1.244979338817956e-17
relative error = 2.7303360531530769472137777505171e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.29
y[1] (analytic) = 0.4563723148788620205942278294427
y[1] (numeric) = 0.45637231487886203304866735261415
absolute error = 1.245443952317145e-17
relative error = 2.7290085566380852491724884911368e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=888.8MB, alloc=4.4MB, time=91.03
NO POLE
x[1] = -0.289
y[1] (analytic) = 0.4567644746933735670990307749418
y[1] (numeric) = 0.45676447469337357955810430363029
absolute error = 1.245907352868849e-17
relative error = 2.7276800668555228796963385476447e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.288
y[1] (analytic) = 0.457156737724837114000051005239
y[1] (numeric) = 0.45715673772483712646374644875734
absolute error = 1.246369544351834e-17
relative error = 2.7263505959788008160938618150955e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.287
y[1] (analytic) = 0.457549103934292768673409783259
y[1] (numeric) = 0.45754910393429278114171508956077
absolute error = 1.246830530630177e-17
relative error = 2.7250201561081639223732806418963e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=892.6MB, alloc=4.4MB, time=91.41
NO POLE
x[1] = -0.286
y[1] (analytic) = 0.457941573282813690915804189301
y[1] (numeric) = 0.45794157328281370338870734483486
absolute error = 1.247290315553386e-17
relative error = 2.7236887592712390169577672447956e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.285
y[1] (analytic) = 0.4583341457315060459708969977929
y[1] (numeric) = 0.45833414573150605844838602735704
absolute error = 1.247748902956414e-17
relative error = 2.7223564174233491187246132903953e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.284
y[1] (analytic) = 0.4587268212415089576503394244867
y[1] (numeric) = 0.45872682124150897013240239108395
absolute error = 1.248206296659725e-17
relative error = 2.7210231424479397011864432306499e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=896.4MB, alloc=4.4MB, time=91.79
NO POLE
x[1] = -0.283
y[1] (analytic) = 0.4591195997739944615491802420533
y[1] (numeric) = 0.45911959977399447403580524674702
absolute error = 1.248662500469372e-17
relative error = 2.7196889461570291590578183113319e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.282
y[1] (analytic) = 0.4595124812901674583554155485458
y[1] (numeric) = 0.4595124812901674708465907303163
absolute error = 1.249117518177050e-17
relative error = 2.7183538402916028199284154149165e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.281
y[1] (analytic) = 0.4599054657512656672534342567424
y[1] (numeric) = 0.45990546575126567974914779234435
absolute error = 1.249571353560195e-17
relative error = 2.7170178365221052159180980133913e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=900.3MB, alloc=4.4MB, time=92.18
NO POLE
x[1] = -0.28
y[1] (analytic) = 0.4602985531185595794211151529698
y[1] (numeric) = 0.46029855311855959192135525678952
absolute error = 1.250024010381972e-17
relative error = 2.7156809464486889428633669779345e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.279
y[1] (analytic) = 0.4606917433533524116203321516493
y[1] (numeric) = 0.46069174335335242412508707556323
absolute error = 1.250475492391393e-17
relative error = 2.7143431816017446850915631182885e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.278
y[1] (analytic) = 0.461085036416980059880625146528
y[1] (numeric) = 0.46108503641698007238988317976177
absolute error = 1.250925803323377e-17
relative error = 2.7130045534423029916963512409896e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=904.1MB, alloc=4.4MB, time=92.56
NO POLE
x[1] = -0.277
y[1] (analytic) = 0.4614784322708110532757946313541
y[1] (numeric) = 0.46147843227081106578954410034187
absolute error = 1.251374946898777e-17
relative error = 2.7116650733623627406091941180555e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.276
y[1] (analytic) = 0.4618719308762465077931790316494
y[1] (numeric) = 0.46187193087624652031140829989411
absolute error = 1.251822926824471e-17
relative error = 2.7103247526853567405017328576259e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.275
y[1] (analytic) = 0.4622655321947200802953744552371
y[1] (numeric) = 0.46226553219472009281807192317153
absolute error = 1.252269746793443e-17
relative error = 2.7089836026665935702294760985847e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=907.9MB, alloc=4.4MB, time=92.95
NO POLE
x[1] = -0.274
y[1] (analytic) = 0.4626592361876979225741573323072
y[1] (numeric) = 0.46265923618769793510131143715494
absolute error = 1.252715410484774e-17
relative error = 2.7076416344935028815252565041888e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.273
y[1] (analytic) = 0.4630530428166786354963711760564
y[1] (numeric) = 0.46305304281667864802797039169417
absolute error = 1.253159921563777e-17
relative error = 2.7062988592861906743564120202301e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.272
y[1] (analytic) = 0.4634469520431932232415394523483
y[1] (numeric) = 0.46344695204319323577757228916824
absolute error = 1.253603283681994e-17
relative error = 2.7049552880976942154596663072931e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=911.7MB, alloc=4.4MB, time=93.33
NO POLE
x[1] = -0.271
y[1] (analytic) = 0.4638409638288050476309673013964
y[1] (numeric) = 0.46384096382880506017142230616925
absolute error = 1.254045500477285e-17
relative error = 2.7036109319144342428399395886231e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.27
y[1] (analytic) = 0.4642350781351097825480956062084
y[1] (numeric) = 0.46423507813510979509296136194742
absolute error = 1.254486575573902e-17
relative error = 2.7022658016566327957471087340309e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.269
y[1] (analytic) = 0.4646292949237353684498716514446
y[1] (numeric) = 0.46462929492373538099913677727001
absolute error = 1.254926512582541e-17
relative error = 2.7009199081786818061991843598302e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=915.5MB, alloc=4.4MB, time=93.71
NO POLE
x[1] = -0.268
y[1] (analytic) = 0.4650236141563419669689013624537
y[1] (numeric) = 0.46502361415634197952255451345733
absolute error = 1.255365315100363e-17
relative error = 2.6995732622694433883096125675234e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.267
y[1] (analytic) = 0.4654180357946219156061488575653
y[1] (numeric) = 0.46541803579462192816417872467647
absolute error = 1.255802986711117e-17
relative error = 2.6982258746527679932844480462638e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.266
y[1] (analytic) = 0.4658125598002996825139497872592
y[1] (numeric) = 0.46581255980029969507634509711026
absolute error = 1.256239530985106e-17
relative error = 2.6968777559876731191872648883229e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.265
y[1] (analytic) = 0.4662071861351318213691056715932
y[1] (numeric) = 0.46620718613513183393585518638689
memory used=919.3MB, alloc=4.4MB, time=94.10
absolute error = 1.256674951479369e-17
relative error = 2.6955289168689846576290256358977e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.264
y[1] (analytic) = 0.4666019147609069263358271822904
y[1] (numeric) = 0.46660191476090693890691969966671
absolute error = 1.257109251737631e-17
relative error = 2.6941793678274780035064145672083e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.263
y[1] (analytic) = 0.4669967456394455871182950481451
y[1] (numeric) = 0.46699674563944559969371940104896
absolute error = 1.257542435290386e-17
relative error = 2.6928291193303034752000095784284e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.262
y[1] (analytic) = 0.4673916787326003441026079919442
y[1] (numeric) = 0.46739167873260035668235304849429
absolute error = 1.257974505655009e-17
relative error = 2.6914781817814718512857903672977e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=923.1MB, alloc=4.4MB, time=94.49
NO POLE
x[1] = -0.261
y[1] (analytic) = 0.4677867140022556435878878339131
y[1] (numeric) = 0.46778671400225565617194249727058
absolute error = 1.258405466335748e-17
relative error = 2.6901265655220811450020647588614e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.26
y[1] (analytic) = 0.4681818514103277931063126207937
y[1] (numeric) = 0.46818185141032780569466582903173
absolute error = 1.258835320823803e-17
relative error = 2.6887742808307282786698932041962e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.259
y[1] (analytic) = 0.4685770909187649168318493610695
y[1] (numeric) = 0.46857709091876492942449008704322
absolute error = 1.259264072597372e-17
relative error = 2.6874213379238484706332057817967e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=927.0MB, alloc=4.4MB, time=94.87
NO POLE
x[1] = -0.258
y[1] (analytic) = 0.4689724324895469110774586655686
y[1] (numeric) = 0.46897243248954692367437591678597
absolute error = 1.259691725121737e-17
relative error = 2.6860677469561384186711289702100e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.257
y[1] (analytic) = 0.4693678760846853998805443087201
y[1] (numeric) = 0.46936787608468541248172712721302
absolute error = 1.260118281849292e-17
relative error = 2.6847135180208539924911714249655e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.256
y[1] (analytic) = 0.469763421666223690676421439117
y[1] (numeric) = 0.46976342166622370328185890131312
absolute error = 1.260543746219612e-17
relative error = 2.6833586611501939172057775801606e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=930.8MB, alloc=4.4MB, time=95.26
NO POLE
x[1] = -0.255
y[1] (analytic) = 0.4701590691962367300595778787682
y[1] (numeric) = 0.47015906919623674266925909536305
absolute error = 1.260968121659485e-17
relative error = 2.6820031863156030384007274165245e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.254
y[1] (analytic) = 0.4705548186368310596325036585076
y[1] (numeric) = 0.4705548186368310722464177743377
absolute error = 1.261391411583010e-17
relative error = 2.6806471034282145308371032549106e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.253
y[1] (analytic) = 0.470950669950144771941864642489
y[1] (numeric) = 0.47095066995014478456000083640487
absolute error = 1.261813619391587e-17
relative error = 2.6792904223390607662575183816728e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=934.6MB, alloc=4.4MB, time=95.64
NO POLE
x[1] = -0.252
y[1] (analytic) = 0.4713466230983474665017967975312
y[1] (numeric) = 0.47134662309834747912414428227186
absolute error = 1.262234748474066e-17
relative error = 2.6779331528396206605622680435220e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.251
y[1] (analytic) = 0.4717426780436402059040983633174
y[1] (numeric) = 0.47174267804364021853064638538415
absolute error = 1.262654802206675e-17
relative error = 2.6765753046618959978573955751450e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.25
y[1] (analytic) = 0.4721388347482554720150978770824
y[1] (numeric) = 0.47213883474825548464583571661436
absolute error = 1.263073783953196e-17
relative error = 2.6752168874790128471334985680041e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=938.4MB, alloc=4.4MB, time=96.03
NO POLE
x[1] = -0.249
y[1] (analytic) = 0.4725350931744571222589767014835
y[1] (numeric) = 0.4725350931744571348938936721329
absolute error = 1.263491697064940e-17
relative error = 2.6738579109053947947397115494956e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.248
y[1] (analytic) = 0.4729314532845403459873253968231
y[1] (numeric) = 0.47293145328454035862641084563159
absolute error = 1.263908544880849e-17
relative error = 2.6724983844972040483520079612124e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.247
y[1] (analytic) = 0.473327915040831620934713968714
y[1] (numeric) = 0.47332791504083163357795727598904
absolute error = 1.264324330727504e-17
relative error = 2.6711383177525819341234860878139e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=942.2MB, alloc=4.4MB, time=96.42
NO POLE
x[1] = -0.246
y[1] (analytic) = 0.4737244784056886697600567096406
y[1] (numeric) = 0.47372447840568868240744728883263
absolute error = 1.264739057919203e-17
relative error = 2.6697777201120361531597086961688e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.245
y[1] (analytic) = 0.4741211433415004166735530376973
y[1] (numeric) = 0.47412114334150042932508033527721
absolute error = 1.265152729757991e-17
relative error = 2.6684166009587250550308600927752e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.244
y[1] (analytic) = 0.4745179098106869441489864180787
y[1] (numeric) = 0.47451790981068695680463991341645
absolute error = 1.265565349533775e-17
relative error = 2.6670549696189198136297740555139e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=946.0MB, alloc=4.4MB, time=96.80
NO POLE
x[1] = -0.243
y[1] (analytic) = 0.4749147777756994497211641326763
y[1] (numeric) = 0.47491477777569946238093333791937
absolute error = 1.265976920524307e-17
relative error = 2.6656928353621865391733265114483e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.242
y[1] (analytic) = 0.4753117471990202028682813404008
y[1] (numeric) = 0.47531174719902021553215580035319
absolute error = 1.266387445995239e-17
relative error = 2.6643302074017191534187345788158e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.241
y[1] (analytic) = 0.4757088180431625019789935456221
y[1] (numeric) = 0.47570881804316251464696283762444
absolute error = 1.266796929200234e-17
relative error = 2.6629670948947885121957293586295e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=949.8MB, alloc=4.4MB, time=97.19
NO POLE
x[1] = -0.24
y[1] (analytic) = 0.4761059902706706314039822644049
y[1] (numeric) = 0.47610599027067064407603599821441
absolute error = 1.267205373380951e-17
relative error = 2.6616035069429248269460021799392e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.239
y[1] (analytic) = 0.4765032638441198185917993480211
y[1] (numeric) = 0.47650326384411983126792716569258
absolute error = 1.267612781767148e-17
relative error = 2.6602394525923470032292317079414e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.238
y[1] (analytic) = 0.476900638726116191308776090567
y[1] (numeric) = 0.47690063872611620398896766633372
absolute error = 1.268019157576672e-17
relative error = 2.6588749408341530773862319622228e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=953.7MB, alloc=4.4MB, time=97.57
NO POLE
x[1] = -0.237
y[1] (analytic) = 0.4772981148792967349427839123949
y[1] (numeric) = 0.47729811487929674762702895255067
absolute error = 1.268424504015577e-17
relative error = 2.6575099806047780674372361835156e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.236
y[1] (analytic) = 0.4776956922663292498906340735153
y[1] (numeric) = 0.47769569226632926257892231629663
absolute error = 1.268828824278133e-17
relative error = 2.6561445807862215474996013107767e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.235
y[1] (analytic) = 0.4780933708499123090289045311288
y[1] (numeric) = 0.47809337084991232172122574659775
absolute error = 1.269232121546895e-17
relative error = 2.6547787502063997717667772894973e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=957.5MB, alloc=4.4MB, time=97.96
NO POLE
x[1] = -0.234
y[1] (analytic) = 0.4784911505927752152679827130328
y[1] (numeric) = 0.4784911505927752279643267029598
absolute error = 1.269634398992700e-17
relative error = 2.6534124976393457549153858911668e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.233
y[1] (analytic) = 0.4788890314576779591891136338133
y[1] (numeric) = 0.47888903145767797188947023156154
absolute error = 1.270035659774824e-17
relative error = 2.6520458318057426460936258048567e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.232
y[1] (analytic) = 0.4792870134074111767642434335037
y[1] (numeric) = 0.47928701340741118946860250391283
absolute error = 1.270435907040913e-17
relative error = 2.6506787613729830952149036110923e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=961.3MB, alloc=4.4MB, time=98.34
NO POLE
x[1] = -0.231
y[1] (analytic) = 0.4796850964047961071584490687559
y[1] (numeric) = 0.47968509640479611986680050802708
absolute error = 1.270835143927118e-17
relative error = 2.6493112949556537840630381041508e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.23
y[1] (analytic) = 0.480083280412684550614745534565
y[1] (numeric) = 0.48008328041268456332707927014608
absolute error = 1.271233373558108e-17
relative error = 2.6479434411157636044935332735741e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.229
y[1] (analytic) = 0.4804815653939588264210626401994
y[1] (numeric) = 0.48048156539395883913736863067024
absolute error = 1.271630599047084e-17
relative error = 2.6465752083629729620911550378946e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.228
memory used=965.1MB, alloc=4.4MB, time=98.73
y[1] (analytic) = 0.4808799513115317309591840062396
y[1] (numeric) = 0.48087995131153174367945224119896
absolute error = 1.272026823495936e-17
relative error = 2.6452066051551194895862041006329e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.227
y[1] (analytic) = 0.4812784381283464958354415905329
y[1] (numeric) = 0.48127843812834650855966209048437
absolute error = 1.272422049995147e-17
relative error = 2.6438376398982156423995457335584e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.226
y[1] (analytic) = 0.4816770258073767460929596894169
y[1] (numeric) = 0.4816770258073767588211225056567
absolute error = 1.272816281623980e-17
relative error = 2.6424683209470340118050201933304e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.225
y[1] (analytic) = 0.4820757143116264585052429967973
y[1] (numeric) = 0.4820757143116264712373382113011
absolute error = 1.273209521450380e-17
relative error = 2.6410986566050987150105599026306e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=968.9MB, alloc=4.4MB, time=99.11
NO POLE
x[1] = -0.224
y[1] (analytic) = 0.4824745036041299199509039375518
y[1] (numeric) = 0.48247450360412993268692166286375
absolute error = 1.273601772531195e-17
relative error = 2.6397286551253381754082497930797e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.223
y[1] (analytic) = 0.4828733936479516858693251233287
y[1] (numeric) = 0.48287339364795169860925550244922
absolute error = 1.273993037912052e-17
relative error = 2.6383583247100203667191370616400e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.222
y[1] (analytic) = 0.4832723844061865387970534080759
y[1] (numeric) = 0.48327238440618655154088661435107
absolute error = 1.274383320627517e-17
relative error = 2.6369876735112762082551781001017e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=972.7MB, alloc=4.4MB, time=99.50
NO POLE
x[1] = -0.221
y[1] (analytic) = 0.4836714758419594469847226476322
y[1] (numeric) = 0.48367147584195945973244888464324
absolute error = 1.274772623701104e-17
relative error = 2.6356167096313083435303462921277e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.22
y[1] (analytic) = 0.4840706679184255230943028924077
y[1] (numeric) = 0.48407066791842553584591239386088
absolute error = 1.275160950145318e-17
relative error = 2.6342454411226692915440170316042e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.219
y[1] (analytic) = 0.484469960598769982976474364608
y[1] (numeric) = 0.48446996059876999573195739422477
absolute error = 1.275548302961677e-17
relative error = 2.6328738759884950433153063722633e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=976.6MB, alloc=4.4MB, time=99.89
NO POLE
x[1] = -0.218
y[1] (analytic) = 0.4848693538462081045279251916154
y[1] (numeric) = 0.48486935384620811728727204302405
absolute error = 1.275934685140865e-17
relative error = 2.6315020221830078457178026274652e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.217
y[1] (analytic) = 0.4852688476239851866283724850497
y[1] (numeric) = 0.4852688476239851993915734816758
absolute error = 1.276320099662610e-17
relative error = 2.6301298876114499705807594133393e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.216
y[1] (analytic) = 0.4856684418953765081571069706791
y[1] (numeric) = 0.48566844189537652092415246563787
absolute error = 1.276704549495877e-17
relative error = 2.6287574801306665644530282820134e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=980.4MB, alloc=4.4MB, time=100.28
NO POLE
x[1] = -0.215
y[1] (analytic) = 0.4860681366236872870888619877833
y[1] (numeric) = 0.48606813662368729985974236377169
absolute error = 1.277088037598839e-17
relative error = 2.6273848075492290596088972435759e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.214
y[1] (analytic) = 0.486467931772252639668808287755
y[1] (numeric) = 0.48646793177225265244351395694448
absolute error = 1.277470566918948e-17
relative error = 2.6260118776277637008313214275662e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.213
y[1] (analytic) = 0.4868678273044375396664766707051
y[1] (numeric) = 0.4868678273044375524449980746346
absolute error = 1.277852140392950e-17
relative error = 2.6246386980791635924699434851555e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=984.2MB, alloc=4.4MB, time=100.68
NO POLE
x[1] = -0.212
y[1] (analytic) = 0.4872678231836367777084111055993
y[1] (numeric) = 0.48726782318363679049073871506884
absolute error = 1.278232760946954e-17
relative error = 2.6232652765689106820758024259859e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.211
y[1] (analytic) = 0.4876679193732749206893555840207
y[1] (numeric) = 0.48766791937327493347547989898577
absolute error = 1.278612431496507e-17
relative error = 2.6218916207154086205563377954277e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.21
y[1] (analytic) = 0.4880681158368062712617785600281
y[1] (numeric) = 0.48806811583680628405169010949376
absolute error = 1.278991154946566e-17
relative error = 2.6205177380901031054107494777658e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=988.0MB, alloc=4.4MB, time=101.08
NO POLE
x[1] = -0.209
y[1] (analytic) = 0.4884684125377148274035394287694
y[1] (numeric) = 0.48846841253771484019722877068536
absolute error = 1.279368934191596e-17
relative error = 2.6191436362178597368667411199070e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.208
y[1] (analytic) = 0.4888688094395142420635020945345
y[1] (numeric) = 0.48886880943951425486095981569035
absolute error = 1.279745772115585e-17
relative error = 2.6177693225771703923340456631927e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.207
y[1] (analytic) = 0.4892693065057477828849012747859
y[1] (numeric) = 0.48926930650574779568611799070723
absolute error = 1.280121671592133e-17
relative error = 2.6163948046005099866651303489720e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=991.8MB, alloc=4.4MB, time=101.47
NO POLE
x[1] = -0.206
y[1] (analytic) = 0.4896699036999882920062677804115
y[1] (numeric) = 0.48966990369998830481123413525568
absolute error = 1.280496635484418e-17
relative error = 2.6150200896744404441510288733209e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.205
y[1] (analytic) = 0.4900706009858381459397196039971
y[1] (numeric) = 0.49007060098583815874842627045057
absolute error = 1.280870666645347e-17
relative error = 2.6136451851400918082766375053515e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.204
y[1] (analytic) = 0.4904713983269292155264262373446
y[1] (numeric) = 0.49047139832692922833886391651916
absolute error = 1.281243767917456e-17
relative error = 2.6122700982931293906395880186524e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=995.6MB, alloc=4.4MB, time=101.87
NO POLE
x[1] = -0.203
y[1] (analytic) = 0.4908722956869228259690542267462
y[1] (numeric) = 0.49087229568692283878521364807738
absolute error = 1.281615942133118e-17
relative error = 2.6108948363843486841783395807480e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.202
y[1] (analytic) = 0.4912732930295097169410025597119
y[1] (numeric) = 0.49127329302950972976087448085606
absolute error = 1.281987192114416e-17
relative error = 2.6095194066195856100783460813165e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.201
y[1] (analytic) = 0.4916743903184100027722370599003
y[1] (numeric) = 0.49167439031841001559581226663384
absolute error = 1.282357520673354e-17
relative error = 2.6081438161603147974943360800639e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=999.4MB, alloc=4.4MB, time=102.25
NO POLE
x[1] = -0.2
y[1] (analytic) = 0.4920755875173731327115335479803
y[1] (numeric) = 0.49207558751737314553880285409794
absolute error = 1.282726930611764e-17
relative error = 2.6067680721236272919855179111434e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.199
y[1] (analytic) = 0.4924768845901778512649401050121
y[1] (numeric) = 0.49247688459017786409589435222623
absolute error = 1.283095424721413e-17
relative error = 2.6053921815826146280017030031781e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.198
y[1] (analytic) = 0.4928782815006321586102693517328
y[1] (numeric) = 0.49287828150063217144489940957294
absolute error = 1.283463005784014e-17
relative error = 2.6040161515665563948540644717458e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1003.3MB, alloc=4.4MB, time=102.64
NO POLE
x[1] = -0.197
y[1] (analytic) = 0.4932797782125732710874322318408
y[1] (numeric) = 0.49327977821257328392572899755412
absolute error = 1.283829676571332e-17
relative error = 2.6026399890612996182103388347783e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.196
y[1] (analytic) = 0.4936813746898675817644253600252
y[1] (numeric) = 0.49368137468986759460637975847664
absolute error = 1.284195439845144e-17
relative error = 2.6012637010093406948205158238252e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.195
y[1] (analytic) = 0.4940830708964106210787845660712
y[1] (numeric) = 0.49408307089641063392438754964423
absolute error = 1.284560298357303e-17
relative error = 2.5998872943101175593258574104663e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1007.1MB, alloc=4.4MB, time=103.02
NO POLE
x[1] = -0.194
y[1] (analytic) = 0.4944848667961270175543178349167
y[1] (numeric) = 0.49448486679612703040356038341492
absolute error = 1.284924254849822e-17
relative error = 2.5985107758203410131532626400240e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.193
y[1] (analytic) = 0.4948867623529704585929314090356
y[1] (numeric) = 0.49488676235297047144580452958421
absolute error = 1.285287312054861e-17
relative error = 2.5971341523541285737932085698173e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.192
y[1] (analytic) = 0.4952887575309236513413633839877
y[1] (numeric) = 0.49528875753092366419785811093597
absolute error = 1.285649472694827e-17
relative error = 2.5957574306833659600012107260447e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.191
y[1] (analytic) = 0.495690852293998283632639690424
y[1] (numeric) = 0.49569085229399829649274708524721
memory used=1010.9MB, alloc=4.4MB, time=103.40
absolute error = 1.286010739482321e-17
relative error = 2.5943806175377582948698662345258e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.19
y[1] (analytic) = 0.4960930466062349850020679162583
y[1] (numeric) = 0.49609304660623499786577906746123
absolute error = 1.286371115120293e-17
relative error = 2.5930037196053004720706654449741e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.189
y[1] (analytic) = 0.4964953404317032877775849811455
y[1] (numeric) = 0.49649534043170330064489100416519
absolute error = 1.286730602301969e-17
relative error = 2.5916267435322861522220853975294e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.188
y[1] (analytic) = 0.4968977337345015882442752318207
y[1] (numeric) = 0.49689773373450160111516726893073
absolute error = 1.287089203711003e-17
relative error = 2.5902496959237696590472072319524e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1014.7MB, alloc=4.4MB, time=103.79
NO POLE
x[1] = -0.187
y[1] (analytic) = 0.4973002264787571078828760812939
y[1] (numeric) = 0.49730022647875712075734530150821
absolute error = 1.287446922021431e-17
relative error = 2.5888725833436276164514246050449e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.186
y[1] (analytic) = 0.4977028186286258546820888673379
y[1] (numeric) = 0.49770281862862586756012646631512
absolute error = 1.287803759897722e-17
relative error = 2.5874954123148153140407079055981e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.185
y[1] (analytic) = 0.4981055101482925845245131561858
y[1] (numeric) = 0.49810551014829259740611035613447
absolute error = 1.288159719994867e-17
relative error = 2.5861181893196982499148177073373e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1018.5MB, alloc=4.4MB, time=104.19
NO POLE
x[1] = -0.184
y[1] (analytic) = 0.4985083010019707626460232658651
y[1] (numeric) = 0.49850830100197077553117131544882
absolute error = 1.288514804958372e-17
relative error = 2.5847409208001896224063863795698e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.183
y[1] (analytic) = 0.4989111911539025251684063301439
y[1] (numeric) = 0.49891119115390253805709650438709
absolute error = 1.288869017424319e-17
relative error = 2.5833636131580235820102142411150e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.182
y[1] (analytic) = 0.4993141805683586407050817686692
y[1] (numeric) = 0.49931418056835865359730536886315
absolute error = 1.289222360019395e-17
relative error = 2.5819862727549632011208025654054e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1022.3MB, alloc=4.4MB, time=104.58
NO POLE
x[1] = -0.181
y[1] (analytic) = 0.4997172692096384720397225715361
y[1] (numeric) = 0.49971726920963848493547092514527
absolute error = 1.289574835360917e-17
relative error = 2.5806089059129995606221456903517e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.18
y[1] (analytic) = 0.5001204570420699378775993472525
y[1] (numeric) = 0.50012045704206995077686380782157
absolute error = 1.289926446056907e-17
relative error = 2.5792315189146499764701975982164e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.179
y[1] (analytic) = 0.5005237440300094746694686218662
y[1] (numeric) = 0.50052374403000948757224056892703
absolute error = 1.290277194706083e-17
relative error = 2.5778541180030870866022311668859e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1026.1MB, alloc=4.4MB, time=104.95
NO POLE
x[1] = -0.178
y[1] (analytic) = 0.5009271301378419985078274139003
y[1] (numeric) = 0.50092713013784201141409825287996
absolute error = 1.290627083897966e-17
relative error = 2.5764767093824990099255464281577e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.177
y[1] (analytic) = 0.5013306153299808670953566447196
y[1] (numeric) = 0.50133061532998088000511780684812
absolute error = 1.290976116212852e-17
relative error = 2.5750992992181786073195234087242e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.176
y[1] (analytic) = 0.5017341995708678417853764770163
y[1] (numeric) = 0.50173419957086785469861941923477
absolute error = 1.291324294221847e-17
relative error = 2.5737218936367379996431598760062e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1030.0MB, alloc=4.4MB, time=105.34
NO POLE
x[1] = -0.175
y[1] (analytic) = 0.5021378828249730496941372052807
y[1] (numeric) = 0.50213788282497306261085341015056
absolute error = 1.291671620486986e-17
relative error = 2.5723444987264894585700095674756e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.174
y[1] (analytic) = 0.5025416650567949458847698514145
y[1] (numeric) = 0.50254166505679495880495082702619
absolute error = 1.292018097561169e-17
relative error = 2.5709671205374604342856872712546e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.173
y[1] (analytic) = 0.5029455462308602756227211460483
y[1] (numeric) = 0.50294554623086028854635842593085
absolute error = 1.292363727988255e-17
relative error = 2.5695897650817227807717979034883e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1033.8MB, alloc=4.4MB, time=105.73
NO POLE
x[1] = -0.172
y[1] (analytic) = 0.5033495263117240367024981016693
y[1] (numeric) = 0.50334952631172404962958324470039
absolute error = 1.292708514303109e-17
relative error = 2.5682124383336271416555903745325e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.171
y[1] (analytic) = 0.5037536052639694418455479073384
y[1] (numeric) = 0.50375360526396945477607249765428
absolute error = 1.293052459031588e-17
relative error = 2.5668351462299152363190610441668e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.17
y[1] (analytic) = 0.5041577830522078811690993965937
y[1] (numeric) = 0.5041577830522078941030550435001
absolute error = 1.293395564690640e-17
relative error = 2.5654578946700558604502150617379e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1037.6MB, alloc=4.4MB, time=106.11
NO POLE
x[1] = -0.169
y[1] (analytic) = 0.5045620596410788847257928601124
y[1] (numeric) = 0.50456205964107889766317119799508
absolute error = 1.293737833788268e-17
relative error = 2.5640806895163118303707827044262e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.168
y[1] (analytic) = 0.5049664349952500851139254928281
y[1] (numeric) = 0.50496643499525009805471818106472
absolute error = 1.294079268823662e-17
relative error = 2.5627035365941394177556856592928e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.167
y[1] (analytic) = 0.505370909079417180158140281504
y[1] (numeric) = 0.50537090907941719310233900437524
absolute error = 1.294419872287124e-17
relative error = 2.5613264416921763823495507912949e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1041.4MB, alloc=4.4MB, time=106.48
NO POLE
x[1] = -0.166
y[1] (analytic) = 0.5057754818583038956603866532262
y[1] (numeric) = 0.50577548185830390860798311982824
absolute error = 1.294759646660204e-17
relative error = 2.5599494105626473581873163347088e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.165
y[1] (analytic) = 0.506180153296661948220981717942
y[1] (numeric) = 0.50618015329666196117196766209847
absolute error = 1.295098594415647e-17
relative error = 2.5585724489213940251791164446803e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.164
y[1] (analytic) = 0.5065849233592710081296014490027
y[1] (numeric) = 0.50658492335927102108396862917789
absolute error = 1.295436718017519e-17
relative error = 2.5571955624482585959129915442136e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1045.2MB, alloc=4.4MB, time=106.86
NO POLE
x[1] = -0.163
y[1] (analytic) = 0.5069897920109386623260316547159
y[1] (numeric) = 0.50698979201093867528377185392764
absolute error = 1.295774019921174e-17
relative error = 2.5558187567871519623278082102138e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.162
y[1] (analytic) = 0.5073947592165003774305091011486
y[1] (numeric) = 0.50739475921650039039161412688185
absolute error = 1.296110502573325e-17
relative error = 2.5544420375463265964614774260621e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.161
y[1] (analytic) = 0.5077998249408194628434836518803
y[1] (numeric) = 0.50779982494081947580794533600061
absolute error = 1.296446168412031e-17
relative error = 2.5530654102984828369666846953081e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1049.0MB, alloc=4.4MB, time=107.23
NO POLE
x[1] = -0.16
y[1] (analytic) = 0.5082049891487870339146327940732
y[1] (numeric) = 0.50820498914878704688244299274154
absolute error = 1.296781019866834e-17
relative error = 2.5516888805811699341373015906765e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.159
y[1] (analytic) = 0.5086102518053219751809604221302
y[1] (numeric) = 0.50861025180532198815211101571671
absolute error = 1.297115059358651e-17
relative error = 2.5503124538967035827583125266629e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.158
y[1] (analytic) = 0.509015612875370903673812250333
y[1] (numeric) = 0.50901561287537091664829514333237
absolute error = 1.297448289299937e-17
relative error = 2.5489361357126163577757062524866e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1052.8MB, alloc=4.4MB, time=107.61
NO POLE
x[1] = -0.157
y[1] (analytic) = 0.5094210723239081322946407242327
y[1] (numeric) = 0.50942107232390814527244784517925
absolute error = 1.297780712094655e-17
relative error = 2.5475599314617272461229656298605e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.156
y[1] (analytic) = 0.5098266301159356332593527971758
y[1] (numeric) = 0.50982663011593564624047609855915
absolute error = 1.298112330138335e-17
relative error = 2.5461838465423855230088192339724e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.155
y[1] (analytic) = 0.5102322862164830016110744332249
y[1] (numeric) = 0.51023228621648301459550589140546
absolute error = 1.298443145818056e-17
relative error = 2.5448078863185626600003584966362e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.154
y[1] (analytic) = 0.5106380405906074188011661908633
y[1] (numeric) = 0.51063804059060743178889780598884
absolute error = 1.298773161512554e-17
relative error = 2.5434320561201906509720884285084e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1056.7MB, alloc=4.4MB, time=107.98
NO POLE
x[1] = -0.153
y[1] (analytic) = 0.5110438932033936163383247332788
y[1] (numeric) = 0.51104389320339362932934852920118
absolute error = 1.299102379592238e-17
relative error = 2.5420563612433188077464778381655e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.152
y[1] (analytic) = 0.5114498440199538395056056006969
y[1] (numeric) = 0.51144984401995385249991362488855
absolute error = 1.299430802419165e-17
relative error = 2.5406808069501897490912977718105e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.151
y[1] (analytic) = 0.511855893005427811145203068192
y[1] (numeric) = 0.5118558930054278241427873916635
absolute error = 1.299758432347150e-17
relative error = 2.5393053984695788778524671624072e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1060.5MB, alloc=4.4MB, time=108.36
NO POLE
x[1] = -0.15
y[1] (analytic) = 0.5122620401249826955108233986591
y[1] (numeric) = 0.51226204012498270851167611587671
absolute error = 1.300085271721761e-17
relative error = 2.5379301409969078520048886890123e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.149
y[1] (analytic) = 0.5126682853438130621874882851701
y[1] (numeric) = 0.5126682853438130751916015139734
absolute error = 1.300411322880330e-17
relative error = 2.5365550396943888276521070116800e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.148
y[1] (analytic) = 0.5130746286271408500786057597885
y[1] (numeric) = 0.51307462862714086308597164130901
absolute error = 1.300736588152051e-17
relative error = 2.5351800996913376842660985939757e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1064.3MB, alloc=4.4MB, time=108.74
NO POLE
x[1] = -0.147
y[1] (analytic) = 0.5134810699402153314601463270778
y[1] (numeric) = 0.51348106994021534447075702565748
absolute error = 1.301061069857968e-17
relative error = 2.5338053260842716393896741543737e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.146
y[1] (analytic) = 0.5138876092483130761017625600116
y[1] (numeric) = 0.51388760924831308911561026312152
absolute error = 1.301384770310992e-17
relative error = 2.5324307239370629326160196232260e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.145
y[1] (analytic) = 0.5142942465167379154546908737941
y[1] (numeric) = 0.51429424651673792847176779195385
absolute error = 1.301707691815975e-17
relative error = 2.5310562982812027115848871994491e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1068.1MB, alloc=4.4MB, time=109.12
NO POLE
x[1] = -0.144
y[1] (analytic) = 0.5147009817108209069062746692309
y[1] (numeric) = 0.51470098171082091992657303592835
absolute error = 1.302029836669745e-17
relative error = 2.5296820541159879936361450580276e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.143
y[1] (analytic) = 0.515107814795920298100948511757
y[1] (numeric) = 0.51510781479592031112446058336757
absolute error = 1.302351207161057e-17
relative error = 2.5283079964085447669165026292315e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.142
y[1] (analytic) = 0.5155147457374214913275234850364
y[1] (numeric) = 0.5155147457374215043542415407441
absolute error = 1.302671805570770e-17
relative error = 2.5269341300942894762388431995295e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1071.9MB, alloc=4.4MB, time=109.51
NO POLE
x[1] = -0.141
y[1] (analytic) = 0.515921774500737007972614329218
y[1] (numeric) = 0.51592177450073702100253067093518
absolute error = 1.302991634171718e-17
relative error = 2.5255604600767953084438072860269e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.14
y[1] (analytic) = 0.5163289010513064530400494434402
y[1] (numeric) = 0.51632890105130646607315639572896
absolute error = 1.303310695228876e-17
relative error = 2.5241869912282305473158960222784e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.139
y[1] (analytic) = 0.5167361253545964797361053000704
y[1] (numeric) = 0.51673612535459649277239521006361
absolute error = 1.303628990999321e-17
relative error = 2.5228137283893982308343557165846e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1075.7MB, alloc=4.4MB, time=109.89
NO POLE
x[1] = -0.138
y[1] (analytic) = 0.5171434473761007541204072844114
y[1] (numeric) = 0.51714344737610076715987252173377
absolute error = 1.303946523732237e-17
relative error = 2.5214406763698607983084924331159e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.137
y[1] (analytic) = 0.5175508670813399198223394382385
y[1] (numeric) = 0.51755086708133993286497239492918
absolute error = 1.304263295669068e-17
relative error = 2.5200678399483502052596214823740e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.136
y[1] (analytic) = 0.5179583844358615628228060485501
y[1] (numeric) = 0.51795838443586157586859913898388
absolute error = 1.304579309043378e-17
relative error = 2.5186952238726105135283351797222e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1079.6MB, alloc=4.4MB, time=110.26
NO POLE
x[1] = -0.135
y[1] (analytic) = 0.5183659994052401763011884843079
y[1] (numeric) = 0.51836599940524018935013414511817
absolute error = 1.304894566081027e-17
relative error = 2.5173228328598509243752825299209e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.134
y[1] (analytic) = 0.5187737119550771255473411437541
y[1] (numeric) = 0.51877371195507713859943183375575
absolute error = 1.305209069000165e-17
relative error = 2.5159506715968459407003025673121e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.133
y[1] (analytic) = 0.5191815220510006129384708330893
y[1] (numeric) = 0.51918152205100062599369903320126
absolute error = 1.305522820011196e-17
relative error = 2.5145787447399773652503190667508e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1083.4MB, alloc=4.4MB, time=110.64
NO POLE
x[1] = -0.132
y[1] (analytic) = 0.5195894296586656429807443539069
y[1] (numeric) = 0.51958942965866565603910256707597
absolute error = 1.305835821316907e-17
relative error = 2.5132070569155937502973068980206e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.131
y[1] (analytic) = 0.5199974347437539874154695318132
y[1] (numeric) = 0.51999743474375400047695028293722
absolute error = 1.306148075112402e-17
relative error = 2.5118356127199932438653648130379e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.13
y[1] (analytic) = 0.520405537271974150389695372105
y[1] (numeric) = 0.52040553727197416345429120795708
absolute error = 1.306459583585208e-17
relative error = 2.5104644167197371175915973088304e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1087.2MB, alloc=4.4MB, time=111.01
NO POLE
x[1] = -0.129
y[1] (analytic) = 0.5208137372090613336910774802609
y[1] (numeric) = 0.52081373720906134675878096941409
absolute error = 1.306770348915319e-17
relative error = 2.5090934734518428650521167492813e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.128
y[1] (analytic) = 0.5212220345207774020468553353138
y[1] (numeric) = 0.52122203452077741511765906806476
absolute error = 1.307080373275096e-17
relative error = 2.5077227874237002070249910825525e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.127
y[1] (analytic) = 0.5216304291729108484867884529207
y[1] (numeric) = 0.52163042917291086156068504121516
absolute error = 1.307389658829446e-17
relative error = 2.5063523631135224404003730488836e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1091.0MB, alloc=4.4MB, time=111.38
NO POLE
x[1] = -0.126
y[1] (analytic) = 0.5220389211312767597698989221558
y[1] (numeric) = 0.52203892113127677284688099951382
absolute error = 1.307698207735802e-17
relative error = 2.5049822049704145581325864136014e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.125
y[1] (analytic) = 0.5224475103617167818748682457
y[1] (numeric) = 0.52244751036171679495492846714121
absolute error = 1.308006022144121e-17
relative error = 2.5036123174144755891028262936067e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.124
y[1] (analytic) = 0.5228561968300990855539368572152
y[1] (numeric) = 0.52285619683009909863706789918466
absolute error = 1.308313104196946e-17
relative error = 2.5022427048370229486211878348258e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1094.8MB, alloc=4.4MB, time=111.76
NO POLE
x[1] = -0.123
y[1] (analytic) = 0.5232649805023183319501551322727
y[1] (numeric) = 0.52326498050231834503634969256679
absolute error = 1.308619456029409e-17
relative error = 2.5008733716007030693301400881002e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.122
y[1] (analytic) = 0.5236738613442956382778351502534
y[1] (numeric) = 0.52367386134429565136708594794631
absolute error = 1.308925079769291e-17
relative error = 2.4995043220397104450190044374279e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.121
y[1] (analytic) = 0.5240828393219785435660529041686
y[1] (numeric) = 0.52408283932197855665835267953898
absolute error = 1.309229977537038e-17
relative error = 2.4981355604599217770085180891405e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=1098.6MB, alloc=4.4MB, time=112.13
x[1] = -0.12
y[1] (analytic) = 0.5244919144013409744650510933611
y[1] (numeric) = 0.52449191440134098756039260781903
absolute error = 1.309534151445793e-17
relative error = 2.4967670911390600821159248445474e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.119
y[1] (analytic) = 0.5249010865483832111153930705495
y[1] (numeric) = 0.5249010865483832242137691065638
absolute error = 1.309837603601430e-17
relative error = 2.4953989183268619264278621930689e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.118
y[1] (analytic) = 0.5253103557291318530797189496776
y[1] (numeric) = 0.5253103557291318661811223107031
absolute error = 1.310140336102550e-17
relative error = 2.4940310462451716216652683111914e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.117
y[1] (analytic) = 0.5257197219096397853369553145294
y[1] (numeric) = 0.52571972190963979844137882493493
absolute error = 1.310442351040553e-17
relative error = 2.4926634790881796271153390521892e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1102.4MB, alloc=4.4MB, time=112.51
NO POLE
x[1] = -0.116
y[1] (analytic) = 0.5261291850559861443388304000811
y[1] (numeric) = 0.52612918505598615744626690507761
absolute error = 1.310743650499651e-17
relative error = 2.4912962210225477801218134619269e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.115
y[1] (analytic) = 0.5265387451342762841285470490815
y[1] (numeric) = 0.52653874513427629723898941465036
absolute error = 1.311044236556886e-17
relative error = 2.4899292761875435188547310195081e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.114
y[1] (analytic) = 0.5269484021106417425214661753945
y[1] (numeric) = 0.52694840211064175563490728821624
absolute error = 1.311344111282174e-17
relative error = 2.4885626486952228999728995565376e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1106.3MB, alloc=4.4MB, time=112.89
NO POLE
x[1] = -0.113
y[1] (analytic) = 0.5273581559512402073476538932056
y[1] (numeric) = 0.52735815595124022046408666058857
absolute error = 1.311643276738297e-17
relative error = 2.4871963426305142381306746264726e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.112
y[1] (analytic) = 0.5277680066222554827561458972906
y[1] (numeric) = 0.52776800662225549587556324710077
absolute error = 1.311941734981017e-17
relative error = 2.4858303620515325970929329985409e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.111
y[1] (analytic) = 0.5281779540898974555807831041857
y[1] (numeric) = 0.52817795408989746870317798477559
absolute error = 1.312239488058989e-17
relative error = 2.4844647109895123415200271341086e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1110.1MB, alloc=4.4MB, time=113.26
NO POLE
x[1] = -0.11
y[1] (analytic) = 0.5285879983204020617674729872698
y[1] (numeric) = 0.5285879983204020748928383674087
absolute error = 1.312536538013890e-17
relative error = 2.4830993934491487163227855646780e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.109
y[1] (analytic) = 0.5289981392800312528627314605056
y[1] (numeric) = 0.52899813928003126599106032930954
absolute error = 1.312832886880394e-17
relative error = 2.4817344134086467985487954510735e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.108
y[1] (analytic) = 0.5294083769350729625633605858628
y[1] (numeric) = 0.52940837693507297569464595272457
absolute error = 1.313128536686177e-17
relative error = 2.4803697748198269655004642645532e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1113.9MB, alloc=4.4MB, time=113.64
NO POLE
x[1] = -0.107
y[1] (analytic) = 0.5298187112518410733271177982909
y[1] (numeric) = 0.52981871125184108646135269281102
absolute error = 1.313423489452012e-17
relative error = 2.4790054816083998187220156683844e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.106
y[1] (analytic) = 0.5302291421966753830442327595201
y[1] (numeric) = 0.5302291421966753961814102314376
absolute error = 1.313717747191750e-17
relative error = 2.4776415376740249058805208035349e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.105
y[1] (analytic) = 0.5306396697359415717696283679454
y[1] (numeric) = 0.53063966973594158490974148706914
absolute error = 1.314011311912374e-17
relative error = 2.4762779468905068151377353860003e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1117.7MB, alloc=4.4MB, time=114.02
NO POLE
x[1] = -0.104
y[1] (analytic) = 0.5310502938360311685157028664098
y[1] (numeric) = 0.53105029383603118165874472254956
absolute error = 1.314304185613976e-17
relative error = 2.4749147131058454390597888593706e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.103
y[1] (analytic) = 0.5314610144633615181055304028397
y[1] (numeric) = 0.53146101446336153125149410573805
absolute error = 1.314596370289835e-17
relative error = 2.4735518401424761219434507866318e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.102
y[1] (analytic) = 0.5318718315843757480863378104177
y[1] (numeric) = 0.53187183158437576123521648968232
absolute error = 1.314887867926462e-17
relative error = 2.4721893317974467232497663008692e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1121.5MB, alloc=4.4MB, time=114.41
NO POLE
x[1] = -0.101
y[1] (analytic) = 0.5322827451655427357031157843003
y[1] (numeric) = 0.53228274516554274885490258933568
absolute error = 1.315178680503538e-17
relative error = 2.4708271918423929132114981283858e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.1
y[1] (analytic) = 0.532693755173357074932223040807
y[1] (numeric) = 0.53269375517335708808691114074736
absolute error = 1.315468809994036e-17
relative error = 2.4694654240238590697294018750644e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.099
y[1] (analytic) = 0.5331048615743390435748424525413
y[1] (numeric) = 0.53310486157433905673242503618309
absolute error = 1.315758258364179e-17
relative error = 2.4681040320633101313655929481779e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1125.3MB, alloc=4.4MB, time=114.79
NO POLE
x[1] = -0.098
y[1] (analytic) = 0.5335160643350345704101485590362
y[1] (numeric) = 0.53351606433503458357061883477131
absolute error = 1.316047027573511e-17
relative error = 2.4667430196573552696191455912391e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.097
y[1] (analytic) = 0.5339273634220152024080462572758
y[1] (numeric) = 0.53392736342201521557139745302468
absolute error = 1.316335119574888e-17
relative error = 2.4653823904778207657981925451791e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.096
y[1] (analytic) = 0.5343387588018780720013408798169
y[1] (numeric) = 0.53433875880187808516756624296243
absolute error = 1.316622536314553e-17
relative error = 2.4640221481719798256806415966431e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1129.1MB, alloc=4.4MB, time=115.18
NO POLE
x[1] = -0.095
y[1] (analytic) = 0.5347502504412458644172002702407
y[1] (numeric) = 0.53475025044124587758629306756184
absolute error = 1.316909279732114e-17
relative error = 2.4626622963626000105167545513425e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.094
y[1] (analytic) = 0.5351618383067667850677698662964
y[1] (numeric) = 0.53516183830676679823972338390236
absolute error = 1.317195351760596e-17
relative error = 2.4613028386481287948445561976889e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.093
y[1] (analytic) = 0.5355735223651145269998022003743
y[1] (numeric) = 0.5355735223651145401746097436385
absolute error = 1.317480754326420e-17
relative error = 2.4599437786027420355357927809414e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1133.0MB, alloc=4.4MB, time=115.56
NO POLE
x[1] = -0.092
y[1] (analytic) = 0.5359853025829882384031626248585
y[1] (numeric) = 0.53598530258298825158081751835372
absolute error = 1.317765489349522e-17
relative error = 2.4585851197766534875189174486870e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.091
y[1] (analytic) = 0.5363971789271124901780734664785
y[1] (numeric) = 0.53639717892711250335856905391149
absolute error = 1.318049558743299e-17
relative error = 2.4572268656961004399840929660850e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.09
y[1] (analytic) = 0.5368091513642372435609592089912
y[1] (numeric) = 0.53680915136423725674428885313777
absolute error = 1.318332964414657e-17
relative error = 2.4558690198635194981207708192723e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1136.8MB, alloc=4.4MB, time=115.94
NO POLE
x[1] = -0.089
y[1] (analytic) = 0.5372212198611378178087556974054
y[1] (numeric) = 0.53722121986113783099491278004586
absolute error = 1.318615708264046e-17
relative error = 2.4545115857576974249304696939377e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.088
y[1] (analytic) = 0.5376333843846148579415467495009
y[1] (numeric) = 0.53763338438461487113052467135566
absolute error = 1.318897792185476e-17
relative error = 2.4531545668338860162160768623197e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.087
y[1] (analytic) = 0.5380456449014943025433919516044
y[1] (numeric) = 0.53804564490149431573518413226979
absolute error = 1.319179218066539e-17
relative error = 2.4517979665239276654959875131450e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=1140.6MB, alloc=4.4MB, time=116.32
x[1] = -0.086
y[1] (analytic) = 0.5384580013786273516212098054694
y[1] (numeric) = 0.53845800137862736481580968335395
absolute error = 1.319459987788455e-17
relative error = 2.4504417882364249898444743841787e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.085
y[1] (analytic) = 0.5388704537828904345215807816734
y[1] (numeric) = 0.53887045378289044771898181393408
absolute error = 1.319740103226068e-17
relative error = 2.4490860353568169557791026629636e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.084
y[1] (analytic) = 0.5392830020811851779053352221937
y[1] (numeric) = 0.53928300208118519110553088467232
absolute error = 1.320019566247862e-17
relative error = 2.4477307112474918071736658584521e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.083
y[1] (analytic) = 0.5396956462404383737797914207634
y[1] (numeric) = 0.53969564624043838698277520792408
absolute error = 1.320298378716068e-17
relative error = 2.4463758192480681535196034061797e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1144.4MB, alloc=4.4MB, time=116.71
NO POLE
x[1] = -0.082
y[1] (analytic) = 0.5401083862276019475885095942478
y[1] (numeric) = 0.54010838622760196079427501911349
absolute error = 1.320576542486569e-17
relative error = 2.4450213626753008348209388311715e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.081
y[1] (analytic) = 0.5405212220096529263584278416098
y[1] (numeric) = 0.54052122200965293956696843569998
absolute error = 1.320854059409018e-17
relative error = 2.4436673448233813455633847523273e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.08
y[1] (analytic) = 0.5409341535535934069042465690815
y[1] (numeric) = 0.54093415355359342011555588234982
absolute error = 1.321130931326832e-17
relative error = 2.4423137689640077133566828647745e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1148.2MB, alloc=4.4MB, time=117.11
NO POLE
x[1] = -0.079
y[1] (analytic) = 0.5413471808264505240899282409057
y[1] (numeric) = 0.54134718082645053730399984167743
absolute error = 1.321407160077173e-17
relative error = 2.4409606383464301063796195423548e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.078
y[1] (analytic) = 0.5417603037952764191471796944778
y[1] (numeric) = 0.54176030379527643236400716938831
absolute error = 1.321682747491051e-17
relative error = 2.4396079561977214865669226535502e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.077
y[1] (analytic) = 0.5421735224271482080507846369096
y[1] (numeric) = 0.54217352242714822127036159084246
absolute error = 1.321957695393286e-17
relative error = 2.4382557257227870231330590256665e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1152.0MB, alloc=4.4MB, time=117.50
NO POLE
x[1] = -0.076
y[1] (analytic) = 0.542586836689167949950654316944
y[1] (numeric) = 0.5425868366891679631729743729699
absolute error = 1.322232005602590e-17
relative error = 2.4369039501045946873649637966660e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.075
y[1] (analytic) = 0.5430002465484626156604647417977
y[1] (numeric) = 0.54300024654846262888552154111287
absolute error = 1.322505679931517e-17
relative error = 2.4355526325041617616468571567877e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.074
y[1] (analytic) = 0.5434137519721840562027491828825
y[1] (numeric) = 0.54341375197218406943053638474779
absolute error = 1.322778720186529e-17
relative error = 2.4342017760607549361284365855239e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1155.8MB, alloc=4.4MB, time=117.89
NO POLE
x[1] = -0.073
y[1] (analytic) = 0.543827352927508971410315087478
y[1] (numeric) = 0.54382735292750898464082636915846
absolute error = 1.323051128168046e-17
relative error = 2.4328513838920601318561735446313e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.072
y[1] (analytic) = 0.5442410493816388785838548852917
y[1] (numeric) = 0.54424104938163889181708394199592
absolute error = 1.323322905670422e-17
relative error = 2.4315014590942156402397288508879e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.071
y[1] (analytic) = 0.5446548413018000812056205494545
y[1] (numeric) = 0.54465484130180009444156109427416
absolute error = 1.323594054481966e-17
relative error = 2.4301520047419277920764585984506e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1159.7MB, alloc=4.4MB, time=118.27
NO POLE
x[1] = -0.07
y[1] (analytic) = 0.5450687286552436377090321408691
y[1] (numeric) = 0.54506872865524365094767790471927
absolute error = 1.323864576385017e-17
relative error = 2.4288030238886852289725940755909e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.069
y[1] (analytic) = 0.545482711409245330304090932959
y[1] (numeric) = 0.54548271140924534354543566451824
absolute error = 1.324134473155924e-17
relative error = 2.4274545195667981003007945834390e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.068
y[1] (analytic) = 0.5458967895311056338584680807553
y[1] (numeric) = 0.54589678953110564710250554640619
absolute error = 1.324403746565089e-17
relative error = 2.4261064947875525464534482140118e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1163.5MB, alloc=4.4MB, time=118.66
NO POLE
x[1] = -0.067
y[1] (analytic) = 0.5463109629881496848341401639235
y[1] (numeric) = 0.54631096298814969808086414769304
absolute error = 1.324672398376954e-17
relative error = 2.4247589525412620317283549149041e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.066
y[1] (analytic) = 0.5467252317477272502794432977657
y[1] (numeric) = 0.54672523174772726352884760126666
absolute error = 1.324940430350096e-17
relative error = 2.4234118957975160412174768675772e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.065
y[1] (analytic) = 0.5471395957772126968764178694529
y[1] (numeric) = 0.54713959577721271012849631182461
absolute error = 1.325207844237171e-17
relative error = 2.4220653275051517242119111129737e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1167.3MB, alloc=4.4MB, time=119.05
NO POLE
x[1] = -0.064
y[1] (analytic) = 0.5475540550440049600433163187351
y[1] (numeric) = 0.54755405504400497329806273658486
absolute error = 1.325474641784976e-17
relative error = 2.4207192505924412268330165153904e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.063
y[1] (analytic) = 0.5479686095155275130921467431678
y[1] (numeric) = 0.54796860951552752634955499051272
absolute error = 1.325740824734492e-17
relative error = 2.4193736679672435573991461240431e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.062
y[1] (analytic) = 0.5483832591592283364411254674723
y[1] (numeric) = 0.54838325915922834970118941568062
absolute error = 1.326006394820832e-17
relative error = 2.4180285825169825823197279311039e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1171.1MB, alloc=4.4MB, time=119.45
NO POLE
x[1] = -0.061
y[1] (analytic) = 0.5487980039425798868819120750207
y[1] (numeric) = 0.54879800394257990014462561275461
absolute error = 1.326271353773391e-17
relative error = 2.4166839971089932544373307606551e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.06
y[1] (analytic) = 0.5492128438330790669015007566237
y[1] (numeric) = 0.54921284383307908016685778978074
absolute error = 1.326535703315704e-17
relative error = 2.4153399145903346577478587298611e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.059
y[1] (analytic) = 0.5496277787982471940586421877745
y[1] (numeric) = 0.54962777879824720732663663943066
absolute error = 1.326799445165616e-17
relative error = 2.4139963377881716103743828957289e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1174.9MB, alloc=4.4MB, time=119.84
NO POLE
x[1] = -0.058
y[1] (analytic) = 0.5500428088056299704146705003111
y[1] (numeric) = 0.55004280880562998368529631066333
absolute error = 1.327062581035223e-17
relative error = 2.4126532695097382636153139368580e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.057
y[1] (analytic) = 0.5504579338227974520186102680643
y[1] (numeric) = 0.55045793382279746529186139437336
absolute error = 1.327325112630906e-17
relative error = 2.4113107125424708697855670431576e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.056
y[1] (analytic) = 0.5508731538173440184464387784969
y[1] (numeric) = 0.55087315381734403172230919503065
absolute error = 1.327587041653375e-17
relative error = 2.4099686696541581564691939759275e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1178.7MB, alloc=4.4MB, time=120.23
NO POLE
x[1] = -0.055
y[1] (analytic) = 0.5512884687568883423943792135985
y[1] (numeric) = 0.55128846875688835567286291157518
absolute error = 1.327848369797668e-17
relative error = 2.4086271435930094475326095116586e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.054
y[1] (analytic) = 0.5517038786090733593261007133881
y[1] (numeric) = 0.55170387860907337260719170091988
absolute error = 1.328109098753178e-17
relative error = 2.4072861370877732812035766099025e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.053
y[1] (analytic) = 0.5521193833415662371737016443004
y[1] (numeric) = 0.55211938334156625045739394633735
absolute error = 1.328369230203695e-17
relative error = 2.4059456528478827132796452686948e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1182.6MB, alloc=4.4MB, time=120.62
NO POLE
x[1] = -0.052
y[1] (analytic) = 0.5525349829220583460923527424939
y[1] (numeric) = 0.55253498292205835937864040076789
absolute error = 1.328628765827399e-17
relative error = 2.4046056935635113347240952833191e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.051
y[1] (analytic) = 0.5529506773182652282684771487223
y[1] (numeric) = 0.5529506773182652415573542216911
absolute error = 1.328887707296880e-17
relative error = 2.4032662619056779173898355305032e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.05
y[1] (analytic) = 0.5533664664979265677813446968633
y[1] (numeric) = 0.55336646649792658107280525965542
absolute error = 1.329146056279212e-17
relative error = 2.4019273605264482241194592331201e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.049
y[1] (analytic) = 0.5537823504288061605179581625052
y[1] (numeric) = 0.55378235042880617381199630686416
absolute error = 1.329403814435896e-17
relative error = 2.4005889920588994057566987982447e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1186.4MB, alloc=4.4MB, time=121.02
NO POLE
x[1] = -0.048
y[1] (analytic) = 0.5541983290786918841411095211479
y[1] (numeric) = 0.55419832907869189743771935537726
absolute error = 1.329660983422936e-17
relative error = 2.3992511591173245954722407118015e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.047
y[1] (analytic) = 0.5546144024153956681104846076005
y[1] (numeric) = 0.55461440241539568140966025650891
absolute error = 1.329917564890841e-17
relative error = 2.3979138642973032068302254643642e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.046
y[1] (analytic) = 0.5550305704067534637566949090412
y[1] (numeric) = 0.55503057040675347705843051388788
absolute error = 1.330173560484668e-17
relative error = 2.3965771101758448354943131795737e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1190.2MB, alloc=4.4MB, time=121.41
NO POLE
x[1] = -0.045
y[1] (analytic) = 0.5554468330206252144081155639632
y[1] (numeric) = 0.55544683302062522771240528240293
absolute error = 1.330428971843973e-17
relative error = 2.3952408993113669313019838821535e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.044
y[1] (analytic) = 0.5558631902248948255704089778558
y[1] (numeric) = 0.55586319022489483887724698388534
absolute error = 1.330683800602954e-17
relative error = 2.3939052342440180288113744685358e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.043
y[1] (analytic) = 0.5562796419874701351586138039847
y[1] (numeric) = 0.55627964198747014846799428788814
absolute error = 1.330938048390344e-17
relative error = 2.3925701174955501610748479161186e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1194.0MB, alloc=4.4MB, time=121.79
NO POLE
x[1] = -0.042
y[1] (analytic) = 0.5566961882762828837816793740164
y[1] (numeric) = 0.55669618827628289709359654231174
absolute error = 1.331191716829534e-17
relative error = 2.3912355515696050464262831157114e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.041
y[1] (analytic) = 0.5571128290592886850793259985172
y[1] (numeric) = 0.55711282905928869839377407390219
absolute error = 1.331444807538499e-17
relative error = 2.3899015389516454310308107047249e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.04
y[1] (analytic) = 0.5575295643044669961111118915169
y[1] (numeric) = 0.55752956430446700942808511281589
absolute error = 1.331697322129899e-17
relative error = 2.3885680821092006719724947354062e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1197.8MB, alloc=4.4MB, time=122.18
NO POLE
x[1] = -0.039
y[1] (analytic) = 0.5579463939798210877975878063965
y[1] (numeric) = 0.55794639397982110111708042850725
absolute error = 1.331949262211075e-17
relative error = 2.3872351834919230774241599966827e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.038
y[1] (analytic) = 0.5583633180533780154134208023175
y[1] (numeric) = 0.55836331805337802873542709615774
absolute error = 1.332200629384024e-17
relative error = 2.3859028455316064318112841364292e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.037
y[1] (analytic) = 0.5587803364931885891323688912754
y[1] (numeric) = 0.55878033649318860245688314373046
absolute error = 1.332451425245506e-17
relative error = 2.3845710706424407139194538728320e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1201.6MB, alloc=4.4MB, time=122.57
NO POLE
x[1] = -0.036
y[1] (analytic) = 0.5591974492673273446239886456377
y[1] (numeric) = 0.5591974492673273579510051595075
absolute error = 1.332701651386980e-17
relative error = 2.3832398612209599266211201411487e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.035
y[1] (analytic) = 0.5596146563438925137019581747061
y[1] (numeric) = 0.55961465634389252703147126865269
absolute error = 1.332951309394659e-17
relative error = 2.3819092196462028525678885757849e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.034
y[1] (analytic) = 0.5600319576910059950238982064476
y[1] (numeric) = 0.56003195769100600835590221494342
absolute error = 1.333200400849582e-17
relative error = 2.3805791482799034929174607377310e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1205.4MB, alloc=4.4MB, time=122.96
NO POLE
x[1] = -0.033
y[1] (analytic) = 0.5604493532768133248425743370616
y[1] (numeric) = 0.56044935327681333817706361033663
absolute error = 1.333448927327503e-17
relative error = 2.3792496494663541772358669810703e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.032
y[1] (analytic) = 0.5608668430694836478083638364892
y[1] (numeric) = 0.56086684306948366114533274047978
absolute error = 1.333696890399058e-17
relative error = 2.3779207255327649914061194554236e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.031
y[1] (analytic) = 0.5612844270372096878228707223546
y[1] (numeric) = 0.56128442703720970116231363865144
absolute error = 1.333944291629684e-17
relative error = 2.3765923787891798029576204384315e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1209.3MB, alloc=4.4MB, time=123.35
NO POLE
x[1] = -0.03
y[1] (analytic) = 0.5617021051482077189435731381261
y[1] (numeric) = 0.56170210514820773228548446392277
absolute error = 1.334191132579667e-17
relative error = 2.3752646115286223647638822792994e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.029
y[1] (analytic) = 0.562119877370717536339387393532
y[1] (numeric) = 0.56211987737071754968376154157391
absolute error = 1.334437414804191e-17
relative error = 2.3739374260272435909597154339023e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.028
y[1] (analytic) = 0.5625377436730024272970333464497
y[1] (numeric) = 0.56253774367300244064386474498284
absolute error = 1.334683139853314e-17
relative error = 2.3726108245443384517053543194091e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1213.1MB, alloc=4.4MB, time=123.74
NO POLE
x[1] = -0.027
y[1] (analytic) = 0.5629557040233491422780861256122
y[1] (numeric) = 0.56295570402334915562736921833228
absolute error = 1.334928309272008e-17
relative error = 2.3712848093224765222474149876325e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.026
y[1] (analytic) = 0.5633737583900678660265995125548
y[1] (numeric) = 0.56337375839006787937832875855662
absolute error = 1.335172924600182e-17
relative error = 2.3699593825876018191538428667695e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.025
y[1] (analytic) = 0.5637919067414921887271866192531
y[1] (numeric) = 0.56379190674149220208135649298011
absolute error = 1.335416987372701e-17
relative error = 2.3686345465491251408360268330715e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1216.9MB, alloc=4.4MB, time=124.13
NO POLE
x[1] = -0.024
y[1] (analytic) = 0.5642101490459790772134438148893
y[1] (numeric) = 0.564210149045979090570048806083
absolute error = 1.335660499119370e-17
relative error = 2.3673103033999540068035756137033e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.023
y[1] (analytic) = 0.5646284852719088462266041711283
y[1] (numeric) = 0.56462848527190885958563878477849
absolute error = 1.335903461365019e-17
relative error = 2.3659866553167013852751221307486e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.022
y[1] (analytic) = 0.5650469153876851297243070101989
y[1] (numeric) = 0.56504691538768514308576576649359
absolute error = 1.336145875629469e-17
relative error = 2.3646636044596829340280539730933e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1220.7MB, alloc=4.4MB, time=124.51
NO POLE
x[1] = -0.021
y[1] (analytic) = 0.5654654393617348522393704539504
y[1] (numeric) = 0.56546543936173486560324788822606
absolute error = 1.336387743427566e-17
relative error = 2.3633411529730345504600785022895e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.02
y[1] (analytic) = 0.5658840571625082002884541849081
y[1] (numeric) = 0.56588405716250821365474484760022
absolute error = 1.336629066269212e-17
relative error = 2.3620193029848241404428668129811e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.019
y[1] (analytic) = 0.5663027687584785938304999421782
y[1] (numeric) = 0.56630276875847860719919839877171
absolute error = 1.336869845659351e-17
relative error = 2.3606980566070834701734415258887e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=1224.5MB, alloc=4.4MB, time=124.90
x[1] = -0.018
y[1] (analytic) = 0.5667215741181426577748375858581
y[1] (numeric) = 0.56672157411814267114593841683833
absolute error = 1.337110083098023e-17
relative error = 2.3593774159359599064555768150692e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.017
y[1] (analytic) = 0.5671404732100201935388448734009
y[1] (numeric) = 0.56714047321002020691234267420472
absolute error = 1.337349780080382e-17
relative error = 2.3580573830518040493219358945674e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.016
y[1] (analytic) = 0.5675594660026541506550494001605
y[1] (numeric) = 0.56755946600265416403093878112742
absolute error = 1.337588938096692e-17
relative error = 2.3567379600192182547434337124123e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.015
y[1] (analytic) = 0.5679785524646105984275614641134
y[1] (numeric) = 0.56797855246461061180583705043664
absolute error = 1.337827558632324e-17
relative error = 2.3554191488871067435796833424736e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1228.3MB, alloc=4.4MB, time=125.29
NO POLE
x[1] = -0.014
y[1] (analytic) = 0.5683977325644786976377269215178
y[1] (numeric) = 0.56839773256447871101838335319644
absolute error = 1.338065643167864e-17
relative error = 2.3541009516889208148404513272055e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.013
y[1] (analytic) = 0.568817006270870672298889406039
y[1] (numeric) = 0.56881700627087068568192133782922
absolute error = 1.338303193179022e-17
relative error = 2.3527833704425531656389659040849e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.012
y[1] (analytic) = 0.5692363735524217814601515886303
y[1] (numeric) = 0.56923637355242179484555368999768
absolute error = 1.338540210136738e-17
relative error = 2.3514664071505787953542721414052e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1232.1MB, alloc=4.4MB, time=125.66
NO POLE
x[1] = -0.011
y[1] (analytic) = 0.5696558343777902910590254592399
y[1] (numeric) = 0.56965583437779030444679241431113
absolute error = 1.338776695507123e-17
relative error = 2.3501500638002052364911498668998e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.01
y[1] (analytic) = 0.5700753887156574458228619141914
y[1] (numeric) = 0.57007538871565745921298842170694
absolute error = 1.339012650751554e-17
relative error = 2.3488343423634931839631022337950e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.009
y[1] (analytic) = 0.5704950365347274412189502348899
y[1] (numeric) = 0.57049503653472745461143100815625
absolute error = 1.339248077326635e-17
relative error = 2.3475192447973413059062537221309e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1236.0MB, alloc=4.4MB, time=126.03
NO POLE
x[1] = -0.008
y[1] (analytic) = 0.5709147778037273954531783443163
y[1] (numeric) = 0.57091477780372740884800811115876
absolute error = 1.339482976684246e-17
relative error = 2.3462047730436252984950004596038e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.007
y[1] (analytic) = 0.5713346124914073215171450276135
y[1] (numeric) = 0.5713346124914073349143185303287
absolute error = 1.339717350271520e-17
relative error = 2.3448909290292103453307077590673e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.006
y[1] (analytic) = 0.5717545405665400992836156019271
y[1] (numeric) = 0.57175454056654011268312759723659
absolute error = 1.339951199530949e-17
relative error = 2.3435777146661891812072856039204e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1239.8MB, alloc=4.4MB, time=126.41
NO POLE
x[1] = -0.005
y[1] (analytic) = 0.5721745619979214476502128185597
y[1] (numeric) = 0.57217456199792146105205807756252
absolute error = 1.340184525900282e-17
relative error = 2.3422651318517556198061721048748e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.004
y[1] (analytic) = 0.5725946767543698967312350774142
y[1] (numeric) = 0.57259467675436991013540838554032
absolute error = 1.340417330812612e-17
relative error = 2.3409531824684087518282310836445e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.003
y[1] (analytic) = 0.5730148848047267600974943296673
y[1] (numeric) = 0.57301488480472677350399048663152
absolute error = 1.340649615696422e-17
relative error = 2.3396418683840847308022582593097e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1243.6MB, alloc=4.4MB, time=126.79
NO POLE
x[1] = -0.002
y[1] (analytic) = 0.5734351861178561070640663396122
y[1] (numeric) = 0.57343518611785612047288015936756
absolute error = 1.340881381975536e-17
relative error = 2.3383311914521223480502866507632e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.001
y[1] (analytic) = 0.5738555806626447350258462706492
y[1] (numeric) = 0.57385558066264474843697258134091
absolute error = 1.341112631069171e-17
relative error = 2.3370211535114047980184100795758e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0
y[1] (analytic) = 0.574276068408002141840802853496
y[1] (numeric) = 0.5742760684080021552542364974156
absolute error = 1.341343364391960e-17
relative error = 2.3357117563864503590485416508844e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1247.4MB, alloc=4.4MB, time=127.17
NO POLE
x[1] = 0.001
y[1] (analytic) = 0.5746966493228604982608246868277
y[1] (numeric) = 0.57469664932286051167656052036699
absolute error = 1.341573583353929e-17
relative error = 2.3344030018874226699537651992561e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.002
y[1] (analytic) = 0.5751173233761746204100525117492
y[1] (numeric) = 0.57511732337617463382808540535483
absolute error = 1.341803289360563e-17
relative error = 2.3330948918102957484600571911470e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.003
y[1] (analytic) = 0.5755380905369219423105915917563
y[1] (numeric) = 0.5755380905369219557309164298845
absolute error = 1.342032483812820e-17
relative error = 2.3317874279369279714166025244178e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1251.2MB, alloc=4.4MB, time=127.55
NO POLE
x[1] = 0.004
y[1] (analytic) = 0.5759589507741024884554986191531
y[1] (numeric) = 0.57595895077410250187811030022396
absolute error = 1.342261168107086e-17
relative error = 2.3304806120350333282022742362640e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.005
y[1] (analytic) = 0.5763799040567388464289378572676
y[1] (numeric) = 0.57637990405673885985383129362039
absolute error = 1.342489343635279e-17
relative error = 2.3291744458584113453237834691476e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.006
y[1] (analytic) = 0.5768009503538761395734015152576
y[1] (numeric) = 0.57680095035387615300057163310557
absolute error = 1.342717011784797e-17
relative error = 2.3278689311469055819219310204520e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1255.0MB, alloc=4.4MB, time=127.92
NO POLE
x[1] = 0.007
y[1] (analytic) = 0.5772220896345819997038896388093
y[1] (numeric) = 0.57722208963458201313333137819517
absolute error = 1.342944173938587e-17
relative error = 2.3265640696265719662317885335035e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.008
y[1] (analytic) = 0.5776433218679465398689450856274
y[1] (numeric) = 0.57764332186794655330065340037842
absolute error = 1.343170831475102e-17
relative error = 2.3252598630096525388625324805458e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.009
y[1] (analytic) = 0.5780646470230823271584394392806
y[1] (numeric) = 0.57806464702308234059240929696431
absolute error = 1.343396985768371e-17
relative error = 2.3239563129947448249357041471622e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1258.8MB, alloc=4.4MB, time=128.29
NO POLE
x[1] = 0.01
y[1] (analytic) = 0.5784860650691243555580059987217
y[1] (numeric) = 0.57848606506912436899423238060181
absolute error = 1.343622638188011e-17
relative error = 2.3226534212668702383873840934861e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.011
y[1] (analytic) = 0.5789075759752300188500162636365
y[1] (numeric) = 0.5789075759752300322884941646285
absolute error = 1.343847790099200e-17
relative error = 2.3213511894974748528879932579544e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.012
y[1] (analytic) = 0.5793291797105790835609966176999
y[1] (numeric) = 0.57932917971057909700172104632719
absolute error = 1.344072442862729e-17
relative error = 2.3200496193445665675163564272559e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1262.7MB, alloc=4.4MB, time=128.68
NO POLE
x[1] = 0.013
y[1] (analytic) = 0.5797508762443736619553821928375
y[1] (numeric) = 0.57975087624437367539834817118772
absolute error = 1.344296597835022e-17
relative error = 2.3187487124527965111407310703955e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.014
y[1] (analytic) = 0.5801726655458381850755051777024
y[1] (numeric) = 0.58017266554583819852070774138376
absolute error = 1.344520256368136e-17
relative error = 2.3174484704535056522900005798947e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.015
y[1] (analytic) = 0.5805945475842193758277151127884
y[1] (numeric) = 0.58059454758421938927514931088626
absolute error = 1.344743419809786e-17
relative error = 2.3161488949648142979537906339100e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=1266.5MB, alloc=4.4MB, time=129.06
x[1] = 0.016
y[1] (analytic) = 0.5810165223287862221145289929153
y[1] (numeric) = 0.58101652232878623556418988794879
absolute error = 1.344966089503349e-17
relative error = 2.3148499875916750915008727242098e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.017
y[1] (analytic) = 0.5814385897488299500127092752403
y[1] (numeric) = 0.58143858974882996346459194311934
absolute error = 1.345188266787904e-17
relative error = 2.3135517499259877275725614769761e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.018
y[1] (analytic) = 0.5818607498136639969971681674789
y[1] (numeric) = 0.58186074981366401045126769746099
absolute error = 1.345409952998209e-17
relative error = 2.3122541835466049265028628289821e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.019
y[1] (analytic) = 0.5822830024926239852105968466564
y[1] (numeric) = 0.58228300249262399866690834130416
absolute error = 1.345631149464776e-17
relative error = 2.3109572900195067176958560005478e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1270.3MB, alloc=4.4MB, time=129.44
NO POLE
x[1] = 0.02
y[1] (analytic) = 0.5827053477550676947787185334702
y[1] (numeric) = 0.58270534775506770823723710860837
absolute error = 1.345851857513817e-17
relative error = 2.3096610708977526157436951418694e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.021
y[1] (analytic) = 0.5831277855703750371710646212127
y[1] (numeric) = 0.58312778557037505063178540588568
absolute error = 1.346072078467298e-17
relative error = 2.3083655277216192439215998315500e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.022
y[1] (analytic) = 0.5835503159079480286071733312041
y[1] (numeric) = 0.58355031590794804207009146763401
absolute error = 1.346291813642991e-17
relative error = 2.3070706620187339639472977050767e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1274.1MB, alloc=4.4MB, time=129.81
NO POLE
x[1] = 0.023
y[1] (analytic) = 0.5839729387372107635081106388059
y[1] (numeric) = 0.58397293873721077697322128234967
absolute error = 1.346511064354377e-17
relative error = 2.3057764753039528077620143690005e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.024
y[1] (analytic) = 0.5843956540276093879932134853299
y[1] (numeric) = 0.58439565402760940146051180443803
absolute error = 1.346729831910813e-17
relative error = 2.3044829690796907185468669202463e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.025
y[1] (analytic) = 0.5848184617486120734219555615482
y[1] (numeric) = 0.58481846174861208689143673772255
absolute error = 1.346948117617435e-17
relative error = 2.3031901448357989680313091193856e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1277.9MB, alloc=4.4MB, time=130.19
NO POLE
x[1] = 0.026
y[1] (analytic) = 0.5852413618697089899808362180166
y[1] (numeric) = 0.58524136186970900345249544576841
absolute error = 1.347165922775181e-17
relative error = 2.3018980040496481790169947401743e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.027
y[1] (analytic) = 0.5856643543604122803151933260822
y[1] (numeric) = 0.58566435436041229378902581289099
absolute error = 1.347383248680879e-17
relative error = 2.3006065481863220035756213907255e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.028
y[1] (analytic) = 0.5860874391902560332058411812431
y[1] (numeric) = 0.58608743919025604668184214751486
absolute error = 1.347600096627176e-17
relative error = 2.2993157786985387019311571489513e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1281.7MB, alloc=4.4MB, time=130.56
NO POLE
x[1] = 0.029
y[1] (analytic) = 0.5865106163287962572904348074623
y[1] (numeric) = 0.58651061632879627076859948648864
absolute error = 1.347816467902634e-17
relative error = 2.2980256970268578252986412571793e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.03
y[1] (analytic) = 0.5869338857456108548294622871315
y[1] (numeric) = 0.58693388574561086830978592504817
absolute error = 1.348032363791667e-17
relative error = 2.2967363045996151348624567536644e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.031
y[1] (analytic) = 0.5873572474102995955167670066123
y[1] (numeric) = 0.58735724741029960899924486235845
absolute error = 1.348247785574615e-17
relative error = 2.2954476028330910796230463312579e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1285.6MB, alloc=4.4MB, time=130.94
NO POLE
x[1] = 0.032
y[1] (analytic) = 0.5877807012924840903345019716791
y[1] (numeric) = 0.5877807012924841038191293169565
absolute error = 1.348462734527740e-17
relative error = 2.2941595931315458727875936979010e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.033
y[1] (analytic) = 0.5882042473618077654524186107338
y[1] (numeric) = 0.58820424736180777893919072996594
absolute error = 1.348677211923214e-17
relative error = 2.2928722768872408448142812250413e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.034
y[1] (analytic) = 0.5886278855879358361713927463708
y[1] (numeric) = 0.58862788558793584966030493666268
absolute error = 1.348891219029188e-17
relative error = 2.2915856554805973411990936538557e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1289.4MB, alloc=4.4MB, time=131.32
NO POLE
x[1] = 0.035
y[1] (analytic) = 0.5890516159405552809110906777454
y[1] (numeric) = 0.58905161594055529440213824884304
absolute error = 1.349104757109764e-17
relative error = 2.2902997302801902916703155261932e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.036
y[1] (analytic) = 0.5894754383893748152416785772332
y[1] (numeric) = 0.58947543838937482873485685148343
absolute error = 1.349317827425023e-17
relative error = 2.2890145026428368351251348117800e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.037
y[1] (analytic) = 0.5898993529041248659594786650778
y[1] (numeric) = 0.58989935290412487945478297738817
absolute error = 1.349530431231037e-17
relative error = 2.2877299739136574674247698091711e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1293.2MB, alloc=4.4MB, time=131.70
NO POLE
x[1] = 0.038
y[1] (analytic) = 0.5903233594545575452064758851024
y[1] (numeric) = 0.59032335945455755870390158290142
absolute error = 1.349742569779902e-17
relative error = 2.2864461454261725273999703704471e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.039
y[1] (analytic) = 0.5907474580104466246335790631171
y[1] (numeric) = 0.5907474580104466381331215063142
absolute error = 1.349954244319710e-17
relative error = 2.2851630185022950360611962824369e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.04
y[1] (analytic) = 0.5911716485415875096075407873844
y[1] (numeric) = 0.59117164854158752310919534833074
absolute error = 1.350165456094634e-17
relative error = 2.2838805944525147400327843674165e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1297.0MB, alloc=4.4MB, time=132.08
NO POLE
x[1] = 0.041
y[1] (analytic) = 0.5915959310177972134614405074247
y[1] (numeric) = 0.59159593101779722696520257087318
absolute error = 1.350376206344848e-17
relative error = 2.2825988745758024839801181384653e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.042
y[1] (analytic) = 0.5920203054089143317886356035361
y[1] (numeric) = 0.59202030540891434529450056660255
absolute error = 1.350586496306645e-17
relative error = 2.2813178601598494693780057318536e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.043
y[1] (analytic) = 0.592444771684799016780085434697
y[1] (numeric) = 0.59244477168479903028804870682061
absolute error = 1.350796327212361e-17
relative error = 2.2800375524809780553187695933728e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1300.8MB, alloc=4.4MB, time=132.46
NO POLE
x[1] = 0.044
y[1] (analytic) = 0.5928693298153329516049536269896
y[1] (numeric) = 0.59286932981533296511501062989391
absolute error = 1.351005700290431e-17
relative error = 2.2787579528042756152542145566398e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.045
y[1] (analytic) = 0.5932939797704193248343941183572
y[1] (numeric) = 0.59329397977041933834654028601151
absolute error = 1.351214616765431e-17
relative error = 2.2774790623837042486383931595797e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.046
y[1] (analytic) = 0.593718721519982804908426728374
y[1] (numeric) = 0.59371872151998281842265750695434
absolute error = 1.351423077858034e-17
relative error = 2.2762008824620651983826179429790e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1304.6MB, alloc=4.4MB, time=132.84
NO POLE
x[1] = 0.047
y[1] (analytic) = 0.5941435550339695146458082737695
y[1] (numeric) = 0.59414355503396952816211912161983
absolute error = 1.351631084785033e-17
relative error = 2.2749234142710762145031204009411e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.048
y[1] (analytic) = 0.5945684802823470057968055017187
y[1] (numeric) = 0.59456848028234701931519188931312
absolute error = 1.351838638759442e-17
relative error = 2.2736466590315797998281427165788e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.049
y[1] (analytic) = 0.5949934972351042336387763633856
y[1] (numeric) = 0.59499349723510424715923377328916
absolute error = 1.352045740990356e-17
relative error = 2.2723706179533455427375973939261e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.05
y[1] (analytic) = 0.5954186058622515316144663998797
y[1] (numeric) = 0.59541860586225154513699032671079
absolute error = 1.352252392683109e-17
relative error = 2.2710952922353738103760542914885e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1308.4MB, alloc=4.4MB, time=133.23
NO POLE
x[1] = 0.051
y[1] (analytic) = 0.5958438061338205860129272616873
y[1] (numeric) = 0.59584380613382059953751321207947
absolute error = 1.352458595039217e-17
relative error = 2.2698206830658373346384451722315e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.052
y[1] (analytic) = 0.5962690980198644106929646307369
y[1] (numeric) = 0.59626909801986442421960812330092
absolute error = 1.352664349256402e-17
relative error = 2.2685467916221589180108914186957e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.053
y[1] (analytic) = 0.5966944814904573218490230615837
y[1] (numeric) = 0.59669448149045733537771962686975
absolute error = 1.352869656528605e-17
relative error = 2.2672736190710703974006770053849e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1312.3MB, alloc=4.4MB, time=133.61
NO POLE
x[1] = 0.054
y[1] (analytic) = 0.5971199565156949128194155047388
y[1] (numeric) = 0.59711995651569492635016068519877
absolute error = 1.353074518045997e-17
relative error = 2.2660011665686680315163958577987e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.055
y[1] (analytic) = 0.5975455230656940289368055209323
y[1] (numeric) = 0.59754552306569404246959487088235
absolute error = 1.353278934995005e-17
relative error = 2.2647294352604927791350249338305e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.056
y[1] (analytic) = 0.5979711811105927424208504400887
y[1] (numeric) = 0.59797118111059275595567952567218
absolute error = 1.353482908558348e-17
relative error = 2.2634584262816269824246472054802e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1316.1MB, alloc=4.4MB, time=133.99
NO POLE
x[1] = 0.057
y[1] (analytic) = 0.5983969306205503273129139630109
y[1] (numeric) = 0.5983969306205503408497783621605
absolute error = 1.353686439914960e-17
relative error = 2.2621881407566018241605926260483e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.058
y[1] (analytic) = 0.5988227715657472344527569472126
y[1] (numeric) = 0.59882277156574724799165224961367
absolute error = 1.353889530240107e-17
relative error = 2.2609185797996291730120345190688e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.059
y[1] (analytic) = 0.5992487039163850664971153610263
y[1] (numeric) = 0.59924870391638508003803716807994
absolute error = 1.354092180705364e-17
relative error = 2.2596497445145988386274398106849e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1319.9MB, alloc=4.4MB, time=134.36
NO POLE
x[1] = 0.06
y[1] (analytic) = 0.5996747276426865529800746320268
y[1] (numeric) = 0.59967472764268656652301855681291
absolute error = 1.354294392478611e-17
relative error = 2.2583816359951075461094138980577e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.061
y[1] (analytic) = 0.6001008427148955254151498569683
y[1] (numeric) = 0.60010084271489553896011152420873
absolute error = 1.354496166724043e-17
relative error = 2.2571142553245111402755853869394e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.062
y[1] (analytic) = 0.6005270491032768924389815808314
y[1] (numeric) = 0.60052704910327690598595662685372
absolute error = 1.354697504602232e-17
relative error = 2.2558476035760631819379389217841e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1323.7MB, alloc=4.4MB, time=134.74
NO POLE
x[1] = 0.063
y[1] (analytic) = 0.6009533467781166149965570922212
y[1] (numeric) = 0.60095334677811662854554116492208
absolute error = 1.354898407270088e-17
relative error = 2.2545816818128849115593629560107e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.064
y[1] (analytic) = 0.6013797357097216815678674212451
y[1] (numeric) = 0.60137973570972169511885618005398
absolute error = 1.355098875880888e-17
relative error = 2.2533164910880484372164348356136e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.065
y[1] (analytic) = 0.601806215868420083435910464142
y[1] (numeric) = 0.6018062158684200969888995799849
absolute error = 1.355298911584290e-17
relative error = 2.2520520324446346671285517095111e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1327.5MB, alloc=4.4MB, time=135.12
NO POLE
x[1] = 0.066
y[1] (analytic) = 0.6022327872245607899959508963268
y[1] (numeric) = 0.60223278722456080355093605159061
absolute error = 1.355498515526381e-17
relative error = 2.2507883069158474755797852343855e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.067
y[1] (analytic) = 0.6026594497485137241059477721648
y[1] (numeric) = 0.60265944974851373766292466066094
absolute error = 1.355697688849614e-17
relative error = 2.2495253155249432231266941233351e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.068
y[1] (analytic) = 0.6030862034106697374780609456941
y[1] (numeric) = 0.60308620341066975103702527262292
absolute error = 1.355896432692882e-17
relative error = 2.2482630592853877634830383193766e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1331.3MB, alloc=4.4MB, time=135.50
NO POLE
x[1] = 0.069
y[1] (analytic) = 0.6035130481814405861111476816865
y[1] (numeric) = 0.60351304818144059967209516360181
absolute error = 1.356094748191531e-17
relative error = 2.2470015392009117319609891711745e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.07
y[1] (analytic) = 0.6039399840312589057641610608667
y[1] (numeric) = 0.60393998403125891932708742564014
absolute error = 1.356292636477344e-17
relative error = 2.2457407562655176036981191026934e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.071
y[1] (analytic) = 0.6043670109305781874703620168076
y[1] (numeric) = 0.60436701093057820103526300359296
absolute error = 1.356490098678536e-17
relative error = 2.2444807114635049449739206935053e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1335.1MB, alloc=4.4MB, time=135.88
NO POLE
x[1] = 0.072
y[1] (analytic) = 0.6047941288498727530922570749857
y[1] (numeric) = 0.6047941288498727666591284341842
absolute error = 1.356687135919850e-17
relative error = 2.2432214057696625786073335272136e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.073
y[1] (analytic) = 0.6052213377596377309171740967225
y[1] (numeric) = 0.60522133775963774448601158994725
absolute error = 1.356883749322475e-17
relative error = 2.2419628401491658502259059471025e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.074
y[1] (analytic) = 0.6056486376303890312933885622446
y[1] (numeric) = 0.60564863763038904486418796228561
absolute error = 1.357079940004101e-17
relative error = 2.2407050155577005547332619519869e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1339.0MB, alloc=4.4MB, time=136.26
NO POLE
x[1] = 0.075
y[1] (analytic) = 0.6060760284326633223067131578888
y[1] (numeric) = 0.60607602843266333587947024867842
absolute error = 1.357275709078962e-17
relative error = 2.2394479329415665606899740844522e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.076
y[1] (analytic) = 0.6065035101370180054974636625467
y[1] (numeric) = 0.60650351013701801907217423912458
absolute error = 1.357471057657788e-17
relative error = 2.2381915932376309775575566332265e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.077
y[1] (analytic) = 0.6069310827140311916177143577912
y[1] (numeric) = 0.60693108271403120519437422626968
absolute error = 1.357665986847848e-17
relative error = 2.2369359973734314767271852587013e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1342.8MB, alloc=4.4MB, time=136.62
NO POLE
x[1] = 0.078
y[1] (analytic) = 0.6073587461343016764287564147653
y[1] (numeric) = 0.60735874613430169000736139229517
absolute error = 1.357860497752987e-17
relative error = 2.2356811462672693184468310163385e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.079
y[1] (analytic) = 0.6077865003684489165386729388359
y[1] (numeric) = 0.60778650036844893011921885357155
absolute error = 1.358054591473565e-17
relative error = 2.2344270408281407660784805383892e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.08
y[1] (analytic) = 0.6082143453871130052799445802238
y[1] (numeric) = 0.60821434538711301886242727128951
absolute error = 1.358248269106571e-17
relative error = 2.2331736819559565380950535093457e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.081
y[1] (analytic) = 0.6086422811609546486269998453319
y[1] (numeric) = 0.60864228116095466221141516278716
absolute error = 1.358441531745526e-17
memory used=1346.6MB, alloc=4.4MB, time=137.00
relative error = 2.2319210705414136819190341878038e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.082
y[1] (analytic) = 0.6090703076606551411536244692846
y[1] (numeric) = 0.60907030766065515473996827409074
absolute error = 1.358634380480614e-17
relative error = 2.2306692074662423493817537796708e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.083
y[1] (analytic) = 0.6094984248569163420301444352971
y[1] (numeric) = 0.60949842485691635561841259928266
absolute error = 1.358826816398556e-17
relative error = 2.2294180936030298945840645408192e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.084
y[1] (analytic) = 0.6099266327204606510602974508797
y[1] (numeric) = 0.6099266327204606646504858567071
absolute error = 1.359018840582740e-17
relative error = 2.2281677298154654553690726754763e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1350.4MB, alloc=4.4MB, time=137.38
NO POLE
x[1] = 0.085
y[1] (analytic) = 0.61035493122203098475770791459
y[1] (numeric) = 0.61035493122203099834981245572209
absolute error = 1.359210454113209e-17
relative error = 2.2269181169583508739064431120097e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.086
y[1] (analytic) = 0.6107833203323907524618806300447
y[1] (numeric) = 0.61078332033239076605589721071082
absolute error = 1.359401658066612e-17
relative error = 2.2256692558775510131933316067480e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.087
y[1] (analytic) = 0.6112118000223238324936287462131
y[1] (numeric) = 0.61121180002232384608955328137574
absolute error = 1.359592453516264e-17
relative error = 2.2244211474101226365556603539332e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1354.2MB, alloc=4.4MB, time=137.75
NO POLE
x[1] = 0.088
y[1] (analytic) = 0.6116403702626345483498516246384
y[1] (numeric) = 0.6116403702626345619476800399601
absolute error = 1.359782841532170e-17
relative error = 2.2231737923843839070562012235926e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.089
y[1] (analytic) = 0.6120690310241476449375785551644
y[1] (numeric) = 0.61206903102414765853730678697464
absolute error = 1.359972823181024e-17
relative error = 2.2219271916199427693305570180144e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.09
y[1] (analytic) = 0.6124977822777082648471944619937
y[1] (numeric) = 0.61249778227770827844881845725542
absolute error = 1.360162399526172e-17
relative error = 2.2206813459276664558499500670065e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1358.0MB, alloc=4.4MB, time=138.11
NO POLE
x[1] = 0.091
y[1] (analytic) = 0.6129266239941819246647639614666
y[1] (numeric) = 0.6129266239941819382682796777438
absolute error = 1.360351571627720e-17
relative error = 2.2194362561098877103759185915478e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.092
y[1] (analytic) = 0.6133555561444544913233703518402
y[1] (numeric) = 0.61335555614445450492877375726484
absolute error = 1.360540340542464e-17
relative error = 2.2181919229603199585448252866474e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.093
y[1] (analytic) = 0.6137845786994321584933863335482
y[1] (numeric) = 0.61378457869943217210067340678739
absolute error = 1.360728707323919e-17
relative error = 2.2169483472641341474120603280321e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1361.9MB, alloc=4.4MB, time=138.48
NO POLE
x[1] = 0.094
y[1] (analytic) = 0.6142136916300414230115934759569
y[1] (numeric) = 0.6142136916300414366207602061808
absolute error = 1.360916673022390e-17
relative error = 2.2157055297981036619897587683554e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.095
y[1] (analytic) = 0.6146428949072290613490676634932
y[1] (numeric) = 0.61464289490722907496011005034199
absolute error = 1.361104238684879e-17
relative error = 2.2144634713304818318017501675185e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.096
y[1] (analytic) = 0.6150721885019621061177479702027
y[1] (numeric) = 0.61507218850196211973066202375455
absolute error = 1.361291405355185e-17
relative error = 2.2132221726211937531543332032416e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1365.7MB, alloc=4.4MB, time=138.84
NO POLE
x[1] = 0.097
y[1] (analytic) = 0.6155015723852278226156066273224
y[1] (numeric) = 0.61550157238522783623038836806133
absolute error = 1.361478174073893e-17
relative error = 2.2119816344218469864540997509028e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.098
y[1] (analytic) = 0.6159310465280336854103379633026
y[1] (numeric) = 0.61593104652803369902698342208602
absolute error = 1.361664545878342e-17
relative error = 2.2107418574757081322804529092419e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.099
y[1] (analytic) = 0.6163606109014073549614844099028
y[1] (numeric) = 0.61636061090140736857998962792972
absolute error = 1.361850521802692e-17
relative error = 2.2095028425178401438503873266983e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1369.5MB, alloc=4.4MB, time=139.20
NO POLE
x[1] = 0.1
y[1] (analytic) = 0.6167902654763966542809178815185
y[1] (numeric) = 0.61679026547639666790127891029775
absolute error = 1.362036102877925e-17
relative error = 2.2082645902751320782047445706731e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.101
y[1] (analytic) = 0.6172200102240695456315950477644
y[1] (numeric) = 0.61722001022406955925380794908277
absolute error = 1.362221290131837e-17
relative error = 2.2070271014663141594807121789363e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.102
y[1] (analytic) = 0.6176498451155141072645052315538
y[1] (numeric) = 0.61764984511551412088856607744433
absolute error = 1.362406084589053e-17
relative error = 2.2057903768020100350079084058150e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1373.3MB, alloc=4.4MB, time=139.56
NO POLE
x[1] = 0.103
y[1] (analytic) = 0.618079770121838510193729876475
y[1] (numeric) = 0.61807977012183852381963474918529
absolute error = 1.362590487271029e-17
relative error = 2.2045544169847677981655493171871e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.104
y[1] (analytic) = 0.6185097852141709950095327381728
y[1] (numeric) = 0.61850978521417100863727773013384
absolute error = 1.362774499196104e-17
relative error = 2.2033192227091717388897031399348e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.105
y[1] (analytic) = 0.6189398903636598487294001647041
y[1] (numeric) = 0.61893989036365986235898137849895
absolute error = 1.362958121379485e-17
relative error = 2.2020847946618453961401018763251e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1377.1MB, alloc=4.4MB, time=139.92
NO POLE
x[1] = 0.106
y[1] (analytic) = 0.6193700855414733816869510404465
y[1] (numeric) = 0.61937008554147339531836458877887
absolute error = 1.363141354833237e-17
relative error = 2.2008511335214626875990857492576e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.107
y[1] (analytic) = 0.6198003707187999044586361771061
y[1] (numeric) = 0.61980037071879991809187818276949
absolute error = 1.363324200566339e-17
relative error = 2.1996182399588654961146506201284e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.108
y[1] (analytic) = 0.6202307458668477048281471436975
y[1] (numeric) = 0.62023074586684771846321373954373
absolute error = 1.363506659584623e-17
relative error = 2.1983861146369921442718151366248e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1380.9MB, alloc=4.4MB, time=140.28
NO POLE
x[1] = 0.109
y[1] (analytic) = 0.6206612109568450247884547350487
y[1] (numeric) = 0.62066121095684503842534206395771
absolute error = 1.363688732890901e-17
relative error = 2.1971547582111090862524178956695e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.11
y[1] (analytic) = 0.6210917659600400375813974854367
y[1] (numeric) = 0.62109176596004005122010170028539
absolute error = 1.363870421484869e-17
relative error = 2.1959241713286826078457382518706e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.111
y[1] (analytic) = 0.6215224108477008247747408403629
y[1] (numeric) = 0.62152241084770083841525810399442
absolute error = 1.364051726363152e-17
relative error = 2.1946943546294779386186959664057e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=1384.7MB, alloc=4.4MB, time=140.64
x[1] = 0.112
y[1] (analytic) = 0.6219531455911153533766278052595
y[1] (numeric) = 0.62195314559111536701895429045275
absolute error = 1.364232648519325e-17
relative error = 2.1934653087456193808642276217304e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.113
y[1] (analytic) = 0.6223839701615914529873420950622
y[1] (numeric) = 0.62238397016159146663147398450168
absolute error = 1.364413188943948e-17
relative error = 2.1922370343016726994664258402158e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.114
y[1] (analytic) = 0.622814884530456792988305013103
y[1] (numeric) = 0.62281488453045680663423849934795
absolute error = 1.364593348624495e-17
relative error = 2.1910095319145569910525721737207e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.115
y[1] (analytic) = 0.6232458886690588597682274916631
y[1] (numeric) = 0.62324588866905887341595877711769
absolute error = 1.364773128545459e-17
relative error = 2.1897828021937393275255475398596e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1388.6MB, alloc=4.4MB, time=141.00
NO POLE
x[1] = 0.116
y[1] (analytic) = 0.6236769825487649339863389297979
y[1] (numeric) = 0.62367698254876494763586422668077
absolute error = 1.364952529688287e-17
relative error = 2.1885568457411560316675345217554e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.117
y[1] (analytic) = 0.6241081661409620678726146666827
y[1] (numeric) = 0.62410816614096208152393019699734
absolute error = 1.365131553031464e-17
relative error = 2.1873316631513730356140493647161e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.118
y[1] (analytic) = 0.6245394394170570625649241307573
y[1] (numeric) = 0.62453943941705707621802612626177
absolute error = 1.365310199550447e-17
relative error = 2.1861072550115054139487771165110e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1392.4MB, alloc=4.4MB, time=141.36
NO POLE
x[1] = 0.119
y[1] (analytic) = 0.6249708023484764454830219063468
y[1] (numeric) = 0.62497080234847645913790660852435
absolute error = 1.365488470217755e-17
relative error = 2.1848836219013868773436457407764e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.12
y[1] (analytic) = 0.6254022549066664477393041602318
y[1] (numeric) = 0.62540225490666646139596782026066
absolute error = 1.365666366002886e-17
relative error = 2.1836607643934619584528811890864e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.121
y[1] (analytic) = 0.6258337970630929815862530708107
y[1] (numeric) = 0.62583379706309299524469194953461
absolute error = 1.365843887872391e-17
relative error = 2.1824386830529295246051007304642e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1396.2MB, alloc=4.4MB, time=141.73
NO POLE
x[1] = 0.122
y[1] (analytic) = 0.6262654287892416179004921020665
y[1] (numeric) = 0.62626542878924163156070246996562
absolute error = 1.366021036789912e-17
relative error = 2.1812173784378282290381491286347e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.123
y[1] (analytic) = 0.6266971500566175637033751635045
y[1] (numeric) = 0.62669715005661757736535330066564
absolute error = 1.366197813716114e-17
relative error = 2.1799968510989524835237367793185e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.124
y[1] (analytic) = 0.6271289608367456397180328955728
y[1] (numeric) = 0.62712896083674565338177509166006
absolute error = 1.366374219608726e-17
relative error = 2.1787771015799426011764619952173e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1400.0MB, alloc=4.4MB, time=142.09
NO POLE
x[1] = 0.125
y[1] (analytic) = 0.6275608611011702579627995178237
y[1] (numeric) = 0.62756086110117027162830207204966
absolute error = 1.366550255422596e-17
relative error = 2.1775581304173968908757050756869e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.126
y[1] (analytic) = 0.6279928508214553993809438742147
y[1] (numeric) = 0.62799285082145541304820309531108
absolute error = 1.366725922109638e-17
relative error = 2.1763399381408113275904990718714e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.127
y[1] (analytic) = 0.6284249299691845915066285064844
y[1] (numeric) = 0.62842492996918460517564071267308
absolute error = 1.366901220618868e-17
relative error = 2.1751225252726611102767848694865e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1403.8MB, alloc=4.4MB, time=142.45
NO POLE
x[1] = 0.128
y[1] (analytic) = 0.6288570985159608861670207824823
y[1] (numeric) = 0.62885709851596089983778230144681
absolute error = 1.367076151896451e-17
relative error = 2.1739058923284993904139400972333e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.129
y[1] (analytic) = 0.6292893564334068372204803016769
y[1] (numeric) = 0.62928935643340685089298747053279
absolute error = 1.367250716885589e-17
relative error = 2.1726900398168029423694241252448e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.13
y[1] (analytic) = 0.6297217036931644783307469948105
y[1] (numeric) = 0.62972170369316449200499616007762
absolute error = 1.367424916526712e-17
relative error = 2.1714749682392996488992383667834e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1407.6MB, alloc=4.4MB, time=142.81
NO POLE
x[1] = 0.131
y[1] (analytic) = 0.6301541402668953007770545288375
y[1] (numeric) = 0.63015414026689531445304204641103
absolute error = 1.367598751757353e-17
relative error = 2.1702606780907931884036236532139e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.132
y[1] (analytic) = 0.63058666612628023130009382184
y[1] (numeric) = 0.63058666612628024497781605696163
absolute error = 1.367772223512163e-17
relative error = 2.1690471698592104732030045954255e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.133
y[1] (analytic) = 0.6310192812430196099837516655987
y[1] (numeric) = 0.63101928124301962366320499282911
absolute error = 1.367945332723041e-17
relative error = 2.1678344440258311519065918724455e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1411.4MB, alloc=4.4MB, time=143.17
NO POLE
x[1] = 0.134
y[1] (analytic) = 0.631451985588833168172549645894
y[1] (numeric) = 0.63145198558883318185373044908376
absolute error = 1.368118080318976e-17
relative error = 2.1666225010650600907746411586529e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.135
y[1] (analytic) = 0.6318847791354600064247087424119
y[1] (numeric) = 0.63188477913546002010761341467375
absolute error = 1.368290467226185e-17
relative error = 2.1654113414446692436878083558848e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.136
y[1] (analytic) = 0.6323176618546585725007651813671
y[1] (numeric) = 0.63231766185465858618539012504762
absolute error = 1.368462494368052e-17
relative error = 2.1642009656257238276214165366358e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1415.3MB, alloc=4.4MB, time=143.54
NO POLE
x[1] = 0.137
y[1] (analytic) = 0.6327506337182066393876633045949
y[1] (numeric) = 0.63275063371820665307400493124678
absolute error = 1.368634162665188e-17
relative error = 2.1629913740627000434939494444056e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.138
y[1] (analytic) = 0.6331836946979012833582514089384
y[1] (numeric) = 0.6331836946979012970463061392923
absolute error = 1.368805473035390e-17
relative error = 2.1617825672034428164020627573154e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.139
y[1] (analytic) = 0.6336168447655588620661066992465
y[1] (numeric) = 0.63361684476555887575587096318354
absolute error = 1.368976426393704e-17
relative error = 2.1605745454892878598193091930618e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1419.1MB, alloc=4.4MB, time=143.90
NO POLE
x[1] = 0.14
y[1] (analytic) = 0.6340500838930149926756156872219
y[1] (numeric) = 0.63405008389301500636708592374587
absolute error = 1.369147023652397e-17
relative error = 2.1593673093550397312263189792609e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.141
y[1] (analytic) = 0.6344834120521245300272365567028
y[1] (numeric) = 0.63448341205212454372040921391238
absolute error = 1.369317265720958e-17
relative error = 2.1581608592289956975100738587617e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.142
y[1] (analytic) = 0.6349168292147615448378702037404
y[1] (numeric) = 0.63491682921476155853274173880213
absolute error = 1.369487153506173e-17
relative error = 2.1569551955330860667125962164214e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=1422.9MB, alloc=4.4MB, time=144.26
x[1] = 0.143
y[1] (analytic) = 0.6353503353528193019362668470473
y[1] (numeric) = 0.6353503353528193156328337261676
absolute error = 1.369656687912030e-17
relative error = 2.1557503186827463896961172203251e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.144
y[1] (analytic) = 0.6357839304382102385333952910294
y[1] (numeric) = 0.63578393043821025223165398942774
absolute error = 1.369825869839834e-17
relative error = 2.1545462290871204986582557861254e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.145
y[1] (analytic) = 0.6362176144428659425277021097018
y[1] (numeric) = 0.63621761444286595622764911158323
absolute error = 1.369994700188143e-17
relative error = 2.1533429271489813782219575298104e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.146
y[1] (analytic) = 0.6366513873387371308451882053002
y[1] (numeric) = 0.63665138733873714454682000382841
absolute error = 1.370163179852821e-17
relative error = 2.1521404132648361468734093565189e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1426.7MB, alloc=4.4MB, time=144.62
NO POLE
x[1] = 0.147
y[1] (analytic) = 0.6370852490977936278142303803625
y[1] (numeric) = 0.63708524909779364151754347763263
absolute error = 1.370331309727013e-17
relative error = 2.1509386878249081898168730967615e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.148
y[1] (analytic) = 0.6375191996920243435750757464515
y[1] (numeric) = 0.63751919969202435728006665346348
absolute error = 1.370499090701198e-17
relative error = 2.1497377512132417267924458211687e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.149
y[1] (analytic) = 0.6379532390934372525239369765371
y[1] (numeric) = 0.63795323909343726623060221316843
absolute error = 1.370666523663133e-17
relative error = 2.1485376038076351068669024233615e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1430.5MB, alloc=4.4MB, time=144.98
NO POLE
x[1] = 0.15
y[1] (analytic) = 0.6383873672740593717916165913415
y[1] (numeric) = 0.63838736727405938549995268632093
absolute error = 1.370833609497943e-17
relative error = 2.1473382459798030891840366006720e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.151
y[1] (analytic) = 0.638821584205936739756588652694
y[1] (numeric) = 0.63882158420593675346659214357455
absolute error = 1.371000349088055e-17
relative error = 2.1461396780952942748891221531436e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.152
y[1] (analytic) = 0.639255889861134394592466419123
y[1] (numeric) = 0.6392558898611344083041338522557
absolute error = 1.371166743313270e-17
relative error = 2.1449419005136247639091916181995e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1434.3MB, alloc=4.4MB, time=145.34
NO POLE
x[1] = 0.153
y[1] (analytic) = 0.6396902842117363528497847005571
y[1] (numeric) = 0.63969028421173636656311263106432
absolute error = 1.371332793050722e-17
relative error = 2.1437449135882346316151807294252e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.154
y[1] (analytic) = 0.6401247672298455880720258300946
y[1] (numeric) = 0.64012476722984560178701082184385
absolute error = 1.371498499174925e-17
relative error = 2.1425487176665820680782370145416e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.155
y[1] (analytic) = 0.640559338887584009445818351352
y[1] (numeric) = 0.64055933888758402316245697692954
absolute error = 1.371663862557754e-17
relative error = 2.1413533130901341113965182463003e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1438.1MB, alloc=4.4MB, time=145.70
NO POLE
x[1] = 0.156
y[1] (analytic) = 0.6409939991570924404852376999043
y[1] (numeric) = 0.64099399915709245420352654058881
absolute error = 1.371828884068451e-17
relative error = 2.1401587001943964326579414746658e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.157
y[1] (analytic) = 0.6414287480105305977501383367945
y[1] (numeric) = 0.64142874801053061147007398253151
absolute error = 1.371993564573701e-17
relative error = 2.1389648793090521431607601977978e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.158
y[1] (analytic) = 0.6418635854200770695984469710174
y[1] (numeric) = 0.6418635854200770833200260203927
absolute error = 1.372157904937530e-17
relative error = 2.1377718507578227318560302952349e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1442.0MB, alloc=4.4MB, time=146.06
NO POLE
x[1] = 0.159
y[1] (analytic) = 0.6422985113579292949723466862648
y[1] (numeric) = 0.64229851135792930869556574647876
absolute error = 1.372321906021396e-17
relative error = 2.1365796148586300627456421479787e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.16
y[1] (analytic) = 0.6427335257963035422182819650782
y[1] (numeric) = 0.64273352579630355594313765192006
absolute error = 1.372485568684186e-17
relative error = 2.1353881719236114759786437184432e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.161
y[1] (analytic) = 0.6431686287074348879407147808709
y[1] (numeric) = 0.64316862870743490166720371869293
absolute error = 1.372648893782203e-17
relative error = 2.1341975222591192911810816821068e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1445.8MB, alloc=4.4MB, time=146.43
NO POLE
x[1] = 0.162
y[1] (analytic) = 0.6436038200635771958895621050694
y[1] (numeric) = 0.64360382006357720961768092676125
absolute error = 1.372811882169185e-17
relative error = 2.1330076661657700443329269641729e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.163
y[1] (analytic) = 0.6440390998370030958812453528829
y[1] (numeric) = 0.64403909983700310961099069984619
absolute error = 1.372974534696329e-17
relative error = 2.1318186039385012999750190389439e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.164
y[1] (analytic) = 0.6444744680000039627532824669401
y[1] (numeric) = 0.64447446800000397648465098906273
absolute error = 1.373136852212263e-17
relative error = 2.1306303358665475586189441118397e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1449.6MB, alloc=4.4MB, time=146.78
NO POLE
x[1] = 0.165
y[1] (analytic) = 0.644909924524889895352353513235
y[1] (numeric) = 0.64490992452488990908534186886584
absolute error = 1.373298835563084e-17
relative error = 2.1294428622335186128775284221940e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.166
y[1] (analytic) = 0.6453454693839896955557708385055
y[1] (numeric) = 0.64534546938398970929037569442913
absolute error = 1.373460485592363e-17
relative error = 2.1282561833174264621717745430531e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.167
y[1] (analytic) = 0.6457811025496508473262850123246
y[1] (numeric) = 0.6457811025496508610625030437362
absolute error = 1.373621803141160e-17
relative error = 2.1270702993907276147224757651231e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1453.4MB, alloc=4.4MB, time=147.14
NO POLE
x[1] = 0.168
y[1] (analytic) = 0.646216823994239495800157950822
y[1] (numeric) = 0.64621682399423950953798584130211
absolute error = 1.373782789048011e-17
relative error = 2.1258852107203219003235615450576e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.169
y[1] (analytic) = 0.6466526336901404264084347920707
y[1] (numeric) = 0.64665263369014044014786923356025
absolute error = 1.373943444148955e-17
relative error = 2.1247009175676131558556490024149e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.17
y[1] (analytic) = 0.6470885316097570440313462657759
y[1] (numeric) = 0.64708853160975705777238395855118
absolute error = 1.374103769277528e-17
relative error = 2.1235174201885186787784044131920e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1457.2MB, alloc=4.4MB, time=147.50
NO POLE
x[1] = 0.171
y[1] (analytic) = 0.6475245177255113521857734719879
y[1] (numeric) = 0.64752451772551136592841112463583
absolute error = 1.374263765264793e-17
relative error = 2.1223347188335342495584135762174e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.172
y[1] (analytic) = 0.6479605920098439322457071551346
y[1] (numeric) = 0.64796059200984394598994148452781
absolute error = 1.374423432939321e-17
relative error = 2.1211528137477232803977009814838e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.173
y[1] (analytic) = 0.6483967544352139226956337307281
y[1] (numeric) = 0.64839675443521393644146146200042
absolute error = 1.374582773127232e-17
relative error = 2.1199717051707985542889766764779e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=1461.0MB, alloc=4.4MB, time=147.87
x[1] = 0.174
y[1] (analytic) = 0.6488330049740989984167804926528
y[1] (numeric) = 0.64883300497409901216419835917466
absolute error = 1.374741786652186e-17
relative error = 2.1187913933371265834932931341397e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.175
y[1] (analytic) = 0.6492693435989953500061525989836
y[1] (numeric) = 0.64926934359899536375515734233715
absolute error = 1.374900474335355e-17
relative error = 2.1176118784757026972013680610556e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.176
y[1] (analytic) = 0.649705770282417663128294603818
y[1] (numeric) = 0.64970577028241767687888297377316
absolute error = 1.375058836995516e-17
relative error = 2.1164331608103124781494882056348e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.177
y[1] (analytic) = 0.6501422849968990978997094716414
y[1] (numeric) = 0.65014228499689911165187822613135
absolute error = 1.375216875448995e-17
relative error = 2.1152552405594633787250146124537e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1464.9MB, alloc=4.4MB, time=148.26
NO POLE
x[1] = 0.178
y[1] (analytic) = 0.6505788877149912683058681792688
y[1] (numeric) = 0.65057888771499128205961408436547
absolute error = 1.375374590509667e-17
relative error = 2.1140781179364026997066824051622e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.179
y[1] (analytic) = 0.6510155784092642216507431784354
y[1] (numeric) = 0.65101557840926423540606300832553
absolute error = 1.375531982989013e-17
relative error = 2.1129017931492230623739754166474e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.18
y[1] (analytic) = 0.6514523570523064180387991596377
y[1] (numeric) = 0.65145235705230643179568969659887
absolute error = 1.375689053696117e-17
relative error = 2.1117262664008753645911258144279e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1468.7MB, alloc=4.4MB, time=148.65
NO POLE
x[1] = 0.181
y[1] (analytic) = 0.6518892236167247098893747248554
y[1] (numeric) = 0.65188922361672472364783275923153
absolute error = 1.375845803437613e-17
relative error = 2.1105515378891049945901131343564e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.182
y[1] (analytic) = 0.6523261780751443214833887433162
y[1] (numeric) = 0.65232617807514433524341107349435
absolute error = 1.376002233017815e-17
relative error = 2.1093776078066688455190497955374e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.183
y[1] (analytic) = 0.652763220400208828542305330512
y[1] (numeric) = 0.65276322040020884230388876289779
absolute error = 1.376158343238579e-17
relative error = 2.1082044763411409058798805247420e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1472.5MB, alloc=4.4MB, time=149.02
NO POLE
x[1] = 0.184
y[1] (analytic) = 0.6532003505645801378392915562121
y[1] (numeric) = 0.65320035056458015160243290520635
absolute error = 1.376314134899425e-17
relative error = 2.1070321436751166803448354769956e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.185
y[1] (analytic) = 0.6536375685409384668425021522847
y[1] (numeric) = 0.6536375685409384806071982402595
absolute error = 1.376469608797480e-17
relative error = 2.1058606099861429480290818536788e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.186
y[1] (analytic) = 0.654074874301982323390425655697
y[1] (numeric) = 0.65407487430198233715667331297239
absolute error = 1.376624765727539e-17
relative error = 2.1046898754468282195415157112743e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1476.3MB, alloc=4.4MB, time=149.41
NO POLE
x[1] = 0.187
y[1] (analytic) = 0.6545122678204284853992265861486
y[1] (numeric) = 0.65451226782042849916702265096885
absolute error = 1.376779606482025e-17
relative error = 2.1035199402247984474128992386436e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.188
y[1] (analytic) = 0.6549497490690119806020184213817
y[1] (numeric) = 0.65494974906901199437135973989198
absolute error = 1.376934131851028e-17
relative error = 2.1023508044827735433827870806227e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.189
y[1] (analytic) = 0.6553873180204860663200022963237
y[1] (numeric) = 0.65538731802048608009088572254636
absolute error = 1.377088342622266e-17
relative error = 2.1011824683785245850643259128361e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1480.1MB, alloc=4.4MB, time=149.78
NO POLE
x[1] = 0.19
y[1] (analytic) = 0.65582497464762220926540651484
y[1] (numeric) = 0.65582497464762222303782891065191
absolute error = 1.377242239581191e-17
relative error = 2.1000149320650522988557130706084e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.191
y[1] (analytic) = 0.6562627189232100653761621250258
y[1] (numeric) = 0.65626271892321007915012036013457
absolute error = 1.377395823510877e-17
relative error = 2.0988481956904326538963862827885e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.192
y[1] (analytic) = 0.6567005508200574596822499706231
y[1] (numeric) = 0.65670055082005747345774092254439
absolute error = 1.377549095192129e-17
relative error = 2.0976822593979996135796656594151e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1483.9MB, alloc=4.4MB, time=150.16
NO POLE
x[1] = 0.193
y[1] (analytic) = 0.6571384703109903662036547923458
y[1] (numeric) = 0.6571384703109903799806753463798
absolute error = 1.377702055403400e-17
relative error = 2.0965171233262349898105056666617e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.194
y[1] (analytic) = 0.6575764773688528878798621135994
y[1] (numeric) = 0.65757647736885290165840916280841
absolute error = 1.377854704920901e-17
relative error = 2.0953527876089522483988103541772e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.195
y[1] (analytic) = 0.6580145719665072365308338053274
y[1] (numeric) = 0.65801457196650725031090425051228
absolute error = 1.378007044518488e-17
relative error = 2.0941892523751406910931914388053e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1487.7MB, alloc=4.4MB, time=150.54
NO POLE
x[1] = 0.196
y[1] (analytic) = 0.6584527540768337128493983844719
y[1] (numeric) = 0.65845275407683372663098913414992
absolute error = 1.378159074967802e-17
relative error = 2.0930265177491945026462478103914e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.197
y[1] (analytic) = 0.6588910236727306864249922598391
y[1] (numeric) = 0.65889102367273070020810023022062
absolute error = 1.378310797038152e-17
relative error = 2.0918645838507508435092969944178e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.198
y[1] (analytic) = 0.6593293807271145757986882979738
y[1] (numeric) = 0.65932938072711458958331041294029
absolute error = 1.378462211496649e-17
relative error = 2.0907034507949092868490188334181e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1491.6MB, alloc=4.4MB, time=150.91
NO POLE
x[1] = 0.199
y[1] (analytic) = 0.6597678252129198285494482400128
y[1] (numeric) = 0.65976782521291984233558143109358
absolute error = 1.378613319108078e-17
relative error = 2.0895431186920532801389771343120e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.2
y[1] (analytic) = 0.6602063571030989014115356583662
y[1] (numeric) = 0.66020635710309891519917686471614
absolute error = 1.378764120634994e-17
relative error = 2.0883835876480116146285584963440e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.201
y[1] (analytic) = 0.6606449763706222404230262995078
y[1] (numeric) = 0.6606449763706222542121724678852
absolute error = 1.378914616837740e-17
relative error = 2.0872248577641011939653899919845e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1495.4MB, alloc=4.4MB, time=151.29
NO POLE
x[1] = 0.202
y[1] (analytic) = 0.6610836829884782611053528161136
y[1] (numeric) = 0.66108368298847827489600090085756
absolute error = 1.379064808474396e-17
relative error = 2.0860669291370652669312301505489e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.203
y[1] (analytic) = 0.6615224769296733286738210482852
y[1] (numeric) = 0.66152247692967334246596801129332
absolute error = 1.379214696300812e-17
relative error = 2.0849098018591388942027990122945e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.204
y[1] (analytic) = 0.6619613581672317382790351696367
y[1] (numeric) = 0.66196135816723175207267798034296
absolute error = 1.379364281070626e-17
relative error = 2.0837534760180915032513313772712e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=1499.2MB, alloc=4.4MB, time=151.66
x[1] = 0.205
y[1] (analytic) = 0.6624003266741956952791691696031
y[1] (numeric) = 0.66240032667419570907430480495569
absolute error = 1.379513563535259e-17
relative error = 2.0825979516972345601902819343148e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.206
y[1] (analytic) = 0.6628393824236252955430222984514
y[1] (numeric) = 0.66283938242362530933964774289079
absolute error = 1.379662544443939e-17
relative error = 2.0814432289754729705683701044548e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.207
y[1] (analytic) = 0.6632785253885985057837962561447
y[1] (numeric) = 0.66327852538859851958190850158143
absolute error = 1.379811224543673e-17
relative error = 2.0802893079272778857742336729767e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.208
y[1] (analytic) = 0.6637177555422111439235320604217
y[1] (numeric) = 0.66371775554221115772312810621479
absolute error = 1.379959604579309e-17
relative error = 2.0791361886227952253500008852888e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1503.0MB, alloc=4.4MB, time=152.04
NO POLE
x[1] = 0.209
y[1] (analytic) = 0.6641570728575768594881446832191
y[1] (numeric) = 0.66415707285757687328922153615394
absolute error = 1.380107685293484e-17
relative error = 2.0779838711277821306271041773600e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.21
y[1] (analytic) = 0.6645964773078271140329936978712
y[1] (numeric) = 0.66459647730782712783554837213782
absolute error = 1.380255467426662e-17
relative error = 2.0768323555036790989112602041876e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.211
y[1] (analytic) = 0.6650359688661111615989283323857
y[1] (numeric) = 0.66503596886611117540295784955726
absolute error = 1.380402951717156e-17
relative error = 2.0756816418076577808561458685503e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1506.8MB, alloc=4.4MB, time=152.41
NO POLE
x[1] = 0.212
y[1] (analytic) = 0.6654755475055960291987454765072
y[1] (numeric) = 0.66547554750559604300424686551854
absolute error = 1.380550138901134e-17
relative error = 2.0745317300926445533517932770718e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.213
y[1] (analytic) = 0.6659152131994664973339993422482
y[1] (numeric) = 0.6659152131994665111409696393737
absolute error = 1.380697029712550e-17
relative error = 2.0733826204072313798816613185584e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.214
y[1] (analytic) = 0.6663549659209250805421016290866
y[1] (numeric) = 0.66635496592092509435053787791919
absolute error = 1.380843624883259e-17
relative error = 2.0722343127958631606899831507322e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1510.6MB, alloc=4.4MB, time=152.78
NO POLE
x[1] = 0.215
y[1] (analytic) = 0.6667948056431920079736511961141
y[1] (numeric) = 0.66679480564319202178355044754392
absolute error = 1.380989925142982e-17
relative error = 2.0710868072987993926043662304745e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.216
y[1] (analytic) = 0.6672347323395052039999323940526
y[1] (numeric) = 0.66723473233950521781129170624538
absolute error = 1.381135931219278e-17
relative error = 2.0699401039520864791254685673956e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.217
y[1] (analytic) = 0.6676747459831202688505213602538
y[1] (numeric) = 0.66767474598312028266333779862972
absolute error = 1.381281643837592e-17
relative error = 2.0687942027876439854842966068186e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1514.4MB, alloc=4.4MB, time=153.16
NO POLE
x[1] = 0.218
y[1] (analytic) = 0.6681148465473104592809397295573
y[1] (numeric) = 0.6681148465473104730952103667701
absolute error = 1.381427063721280e-17
relative error = 2.0676491038333161352160168979279e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.219
y[1] (analytic) = 0.6685550340053666692702953632036
y[1] (numeric) = 0.66855503400536668308601727911889
absolute error = 1.381572191591529e-17
relative error = 2.0665048071127660556284888754640e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.22
y[1] (analytic) = 0.6689953083305974107488498468797
y[1] (numeric) = 0.66899530833059742456602012855444
absolute error = 1.381717028167474e-17
relative error = 2.0653613126456649196387150552536e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1518.3MB, alloc=4.5MB, time=153.53
NO POLE
x[1] = 0.221
y[1] (analytic) = 0.6694356694963287943554526574325
y[1] (numeric) = 0.66943566949632880817406839909408
absolute error = 1.381861574166158e-17
relative error = 2.0642186204476458227491672758417e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.222
y[1] (analytic) = 0.6698761174759045102247820457982
y[1] (numeric) = 0.66987611747590452404484034882304
absolute error = 1.382005830302484e-17
relative error = 2.0630767305302459066485253921804e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.223
y[1] (analytic) = 0.6703166522426858088043328312822
y[1] (numeric) = 0.6703166522426858226258308041754
absolute error = 1.382149797289320e-17
relative error = 2.0619356429010769686206007280031e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1522.1MB, alloc=4.5MB, time=153.91
NO POLE
x[1] = 0.224
y[1] (analytic) = 0.6707572737700514817010914494853
y[1] (numeric) = 0.67075727377005149552402620785964
absolute error = 1.382293475837434e-17
relative error = 2.0607953575637419609840144762999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.225
y[1] (analytic) = 0.671197982031397842557838742894
y[1] (numeric) = 0.67119798203139785638220740944944
absolute error = 1.382436866655544e-17
relative error = 2.0596558745179231619450229195680e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.226
y[1] (analytic) = 0.671638777000138707959021129458
y[1] (numeric) = 0.67163877700013872178482083396094
absolute error = 1.382579970450294e-17
relative error = 2.0585171937593598281497730383553e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1525.9MB, alloc=4.5MB, time=154.29
NO POLE
x[1] = 0.227
y[1] (analytic) = 0.6720796586497053783661309303503
y[1] (numeric) = 0.67207965864970539219335880961304
absolute error = 1.382722787926274e-17
relative error = 2.0573793152798914106152380711996e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.228
y[1] (analytic) = 0.6725206269535466190825367835576
y[1] (numeric) = 0.67252062695354663291118998141791
absolute error = 1.382865319786031e-17
relative error = 2.0562422390674872251761869724121e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.229
y[1] (analytic) = 0.6729616818851286412477052149763
y[1] (numeric) = 0.67296168188512865507778088227706
absolute error = 1.383007566730076e-17
relative error = 2.0551059651062700693138474374495e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1529.7MB, alloc=4.5MB, time=154.66
NO POLE
x[1] = 0.23
y[1] (analytic) = 0.673402823417935082860754583296
y[1] (numeric) = 0.67340282341793509669224987786482
absolute error = 1.383149529456882e-17
relative error = 2.0539704933765263880652553649900e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.231
y[1] (analytic) = 0.6738440515254669898332827591388
y[1] (numeric) = 0.67384405152546700366619484576773
absolute error = 1.383291208662893e-17
relative error = 2.0528358238547327310560860305815e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.232
y[1] (analytic) = 0.674285366181242797071410042691
y[1] (numeric) = 0.67428536618124281090573609311624
absolute error = 1.383432605042524e-17
relative error = 2.0517019565135687649561065874944e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1533.5MB, alloc=4.5MB, time=155.05
NO POLE
x[1] = 0.233
y[1] (analytic) = 0.6747267673587983095869789674139
y[1] (numeric) = 0.67472676735879832342271616029609
absolute error = 1.383573719288219e-17
relative error = 2.0505688913220162023037319367286e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.234
y[1] (analytic) = 0.6751682550316866836378527803581
y[1] (numeric) = 0.67516825503168669747499830126147
absolute error = 1.383714552090337e-17
relative error = 2.0494366282452025975732027974656e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.235
y[1] (analytic) = 0.6756098291734784078972545321197
y[1] (numeric) = 0.67560982917347842173580557349302
absolute error = 1.383855104137332e-17
relative error = 2.0483051672446809247037657877008e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=1537.3MB, alloc=4.5MB, time=155.42
x[1] = 0.236
y[1] (analytic) = 0.676051489757761284652088851595
y[1] (numeric) = 0.67605148975776129849204261275096
absolute error = 1.383995376115596e-17
relative error = 2.0471745082782095827912533496473e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.237
y[1] (analytic) = 0.6764932367581404110301886223743
y[1] (numeric) = 0.67649323675814042487154230946993
absolute error = 1.384135368709563e-17
relative error = 2.0460446512999190831190518994610e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.238
y[1] (analytic) = 0.6769350701482381602564289189109
y[1] (numeric) = 0.67693507014823817409917974492754
absolute error = 1.384275082601664e-17
relative error = 2.0449155962602579803269772686736e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.239
y[1] (analytic) = 0.6773769899016941629376507014716
y[1] (numeric) = 0.67737698990169417678179588619564
absolute error = 1.384414518472404e-17
relative error = 2.0437873431061191280522858148588e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1541.1MB, alloc=4.5MB, time=155.80
NO POLE
x[1] = 0.24
y[1] (analytic) = 0.67781899599216528837633690935
y[1] (numeric) = 0.67781899599216530222187367935258
absolute error = 1.384553677000258e-17
relative error = 2.0426598917806984140605652614479e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.241
y[1] (analytic) = 0.6782610883933256259129837318799
y[1] (numeric) = 0.67826108839332563975990932049779
absolute error = 1.384692558861789e-17
relative error = 2.0415332422236813615942058884673e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.242
y[1] (analytic) = 0.6787032670788664662971099764524
y[1] (numeric) = 0.67870326707886648014542162376848
absolute error = 1.384831164731608e-17
relative error = 2.0404073943711962108463669289558e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1545.0MB, alloc=4.5MB, time=156.18
NO POLE
x[1] = 0.243
y[1] (analytic) = 0.6791455320224962830868475919897
y[1] (numeric) = 0.67914553202249629693654254481306
absolute error = 1.384969495282336e-17
relative error = 2.0392823481557701347019632688129e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.244
y[1] (analytic) = 0.6795878831979407140770565451817
y[1] (numeric) = 0.6795878831979407279281320570287
absolute error = 1.385107551184700e-17
relative error = 2.0381581035064828099502584377000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.245
y[1] (analytic) = 0.6800303205789425427559073852478
y[1] (numeric) = 0.68003032057894255660836071632253
absolute error = 1.385245333107473e-17
relative error = 2.0370346603488899936927775167579e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1548.8MB, alloc=4.5MB, time=156.55
NO POLE
x[1] = 0.246
y[1] (analytic) = 0.6804728441392616797898749710336
y[1] (numeric) = 0.68047284413926169364370338820844
absolute error = 1.385382841717484e-17
relative error = 2.0359120186050502735193140408520e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.247
y[1] (analytic) = 0.6809154538526751445370869719094
y[1] (numeric) = 0.68091545385267515839228774870613
absolute error = 1.385520077679673e-17
relative error = 2.0347901781936178069175234026134e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.248
y[1] (analytic) = 0.681358149692977046588970891196
y[1] (numeric) = 0.68135814969297706044554130776657
absolute error = 1.385657041657057e-17
relative error = 2.0336691390298040836904867412296e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1552.6MB, alloc=4.5MB, time=156.93
NO POLE
x[1] = 0.249
y[1] (analytic) = 0.6818009316339785673401434977033
y[1] (numeric) = 0.68180093163397858119808084081056
absolute error = 1.385793734310726e-17
relative error = 2.0325489010253838443044660895530e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.25
y[1] (analytic) = 0.6822437996495079415864866874361
y[1] (numeric) = 0.68224379964950795544578825043492
absolute error = 1.385930156299882e-17
relative error = 2.0314294640887640083945520925420e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.251
y[1] (analytic) = 0.682686753713410439151353933598
y[1] (numeric) = 0.68268675371341045301201701641644
absolute error = 1.386066308281844e-17
relative error = 2.0303108281250025375746420298995e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1556.4MB, alloc=4.5MB, time=157.30
NO POLE
x[1] = 0.252
y[1] (analytic) = 0.6831297937995483465398516187073
y[1] (numeric) = 0.68312979379954836040187352782733
absolute error = 1.386202190912003e-17
relative error = 2.0291929930357540380441440036259e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.253
y[1] (analytic) = 0.6835729198818009486211396779306
y[1] (numeric) = 0.68357291988180096248451772636955
absolute error = 1.386337804843895e-17
relative error = 2.0280759587193882028634258533540e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.254
y[1] (analytic) = 0.6840161319340645103386961176482
y[1] (numeric) = 0.68401613193406452420342762494001
absolute error = 1.386473150729181e-17
relative error = 2.0269597250709718378342229264748e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1560.2MB, alloc=4.5MB, time=157.67
NO POLE
x[1] = 0.255
y[1] (analytic) = 0.684459429930252258448490107779
y[1] (numeric) = 0.6844594299302522723145723999557
absolute error = 1.386608229217670e-17
relative error = 2.0258442919823137860790141581655e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.256
y[1] (analytic) = 0.684902813844294363285008480526
y[1] (numeric) = 0.68490281384429437715243889009845
absolute error = 1.386743040957245e-17
relative error = 2.0247296593418680577702421923764e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.257
y[1] (analytic) = 0.6853462836501379205550806019447
y[1] (numeric) = 0.6853462836501379344238564678846
absolute error = 1.386877586593990e-17
relative error = 2.0236158270349306238364183927431e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1564.0MB, alloc=4.5MB, time=158.05
NO POLE
x[1] = 0.258
y[1] (analytic) = 0.6857898393217469331594467161056
y[1] (numeric) = 0.68578983932174694702956538382673
absolute error = 1.387011866772113e-17
relative error = 2.0225027949435379844123168998691e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.259
y[1] (analytic) = 0.6862334808331022930420149945941
y[1] (numeric) = 0.68623348083310230691347381593381
absolute error = 1.387145882133971e-17
relative error = 2.0213905629465147734788005276013e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.26
y[1] (analytic) = 0.6866772081582017630667526566934
y[1] (numeric) = 0.68667720815820177693954898989426
absolute error = 1.387279633320086e-17
relative error = 2.0202791309195080778064313032320e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1567.9MB, alloc=4.5MB, time=158.42
NO POLE
x[1] = 0.261
y[1] (analytic) = 0.687121021271059958922156657813
y[1] (numeric) = 0.68712102127105997279628786750445
absolute error = 1.387413120969145e-17
relative error = 2.0191684987349983427096732960238e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.262
y[1] (analytic) = 0.687564920145708331053249575564
y[1] (numeric) = 0.68756492014570834492871303274439
absolute error = 1.387546345718039e-17
relative error = 2.0180586662623669627754768732278e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.263
y[1] (analytic) = 0.6880089047561951466210464543466
y[1] (numeric) = 0.68800890475619516049783953636435
absolute error = 1.387679308201775e-17
relative error = 2.0169496333677790255286964275914e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1571.7MB, alloc=4.5MB, time=158.80
NO POLE
x[1] = 0.264
y[1] (analytic) = 0.6884529750765854714894385003957
y[1] (numeric) = 0.68845297507658548536755859093167
absolute error = 1.387812009053597e-17
relative error = 2.0158413999143700932364018253121e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.265
y[1] (analytic) = 0.6888971310809611522394396499486
y[1] (numeric) = 0.68889713108096116611888413899771
absolute error = 1.387944448904911e-17
relative error = 2.0147339657621477547944103199872e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.266
y[1] (analytic) = 0.6893413727434207982107421635282
y[1] (numeric) = 0.68934137274342081209150844738162
absolute error = 1.388076628385342e-17
relative error = 2.0136273307680850504087024079961e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.267
y[1] (analytic) = 0.6897857000380797635705275293052
y[1] (numeric) = 0.68978570003807977745261301053216
memory used=1575.5MB, alloc=4.5MB, time=159.18
absolute error = 1.388208548122696e-17
relative error = 2.0125214947860758164426162808477e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.268
y[1] (analytic) = 0.6902301129390701294094790880918
y[1] (numeric) = 0.69023011293907014329288117552178
absolute error = 1.388340208742998e-17
relative error = 2.0114164576670003159791063960017e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.269
y[1] (analytic) = 0.6906746114205406858649429217453
y[1] (numeric) = 0.69067461142054069974965903045008
absolute error = 1.388471610870478e-17
relative error = 2.0103122192587153323205974012269e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.27
y[1] (analytic) = 0.6911191954566569142711836756123
y[1] (numeric) = 0.69111919545665692815721122688819
absolute error = 1.388602755127589e-17
relative error = 2.0092087794060906073804581401583e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1579.3MB, alloc=4.5MB, time=159.56
NO POLE
x[1] = 0.271
y[1] (analytic) = 0.6915638650216009693366821141315
y[1] (numeric) = 0.69156386502160098322401853548184
absolute error = 1.388733642135034e-17
relative error = 2.0081061379510581584382174873706e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.272
y[1] (analytic) = 0.6920086200895716613484213368343
y[1] (numeric) = 0.6920086200895716752370640619513
absolute error = 1.388864272511700e-17
relative error = 2.0070042947325270182145865247289e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.273
y[1] (analytic) = 0.6924534606347844384031087097334
y[1] (numeric) = 0.69245346063478445229305517848109
absolute error = 1.388994646874769e-17
relative error = 2.0059032495865539212125946572287e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1583.1MB, alloc=4.5MB, time=159.94
NO POLE
x[1] = 0.274
y[1] (analytic) = 0.6928983866314713686652806944873
y[1] (numeric) = 0.69289838663147138255652835288337
absolute error = 1.389124765839607e-17
relative error = 2.0048030023461929440894751893574e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.275
y[1] (analytic) = 0.6933433980538811226522378847483
y[1] (numeric) = 0.69334339805388113654478418494702
absolute error = 1.389254630019872e-17
relative error = 2.0037035528416615904816239675112e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.276
y[1] (analytic) = 0.6937884948762789555457576857762
y[1] (numeric) = 0.69378849487627896943960008605079
absolute error = 1.389384240027459e-17
relative error = 2.0026049009002712994953396996266e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1586.9MB, alloc=4.5MB, time=160.32
NO POLE
x[1] = 0.277
y[1] (analytic) = 0.6942336770729466895305321996998
y[1] (numeric) = 0.6942336770729467034256681644252
absolute error = 1.389513596472540e-17
relative error = 2.0015070463464950676787604212481e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.278
y[1] (analytic) = 0.6946789446181826961592790047592
y[1] (numeric) = 0.69467894461818271005570600439442
absolute error = 1.389642699963522e-17
relative error = 2.0004099890019167754922501672945e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.279
y[1] (analytic) = 0.6951242974863018787444726424472
y[1] (numeric) = 0.69512429748630189264218815351823
absolute error = 1.389771551107103e-17
relative error = 1.9993137286853216951222627367787e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1590.7MB, alloc=4.5MB, time=160.70
NO POLE
x[1] = 0.28
y[1] (analytic) = 0.6955697356516356547766447517033
y[1] (numeric) = 0.69556973565163566867564625678613
absolute error = 1.389900150508283e-17
relative error = 1.9982182652127219600223933665336e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.281
y[1] (analytic) = 0.6960152590885319383692009141887
y[1] (numeric) = 0.69601525908853195226948590189155
absolute error = 1.390028498770285e-17
relative error = 1.9971235983972526336107491462263e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.282
y[1] (analytic) = 0.6964608677713551227297023991893
y[1] (numeric) = 0.69646086777135513663126836413605
absolute error = 1.390156596494675e-17
relative error = 1.9960297280493539117228766135270e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1594.6MB, alloc=4.5MB, time=161.07
NO POLE
x[1] = 0.283
y[1] (analytic) = 0.6969065616744860626575611208681
y[1] (numeric) = 0.69690656167448607656040556368123
absolute error = 1.390284444281313e-17
relative error = 1.9949366539767101303097064144904e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.284
y[1] (analytic) = 0.6973523407723220570680962443994
y[1] (numeric) = 0.69735234077232207097221667168239
absolute error = 1.390412042728299e-17
relative error = 1.9938443759841818413719554836342e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.285
y[1] (analytic) = 0.6977982050392768315429010009816
y[1] (numeric) = 0.69779820503927684544829492530266
absolute error = 1.390539392432106e-17
relative error = 1.9927528938740061394693358157520e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1598.4MB, alloc=4.5MB, time=161.45
NO POLE
x[1] = 0.286
y[1] (analytic) = 0.6982441544497805209064683948464
y[1] (numeric) = 0.69824415444978053481313333472137
absolute error = 1.390666493987497e-17
relative error = 1.9916622074456868776954375190278e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.287
y[1] (analytic) = 0.6986901889782796518290246081414
y[1] (numeric) = 0.69869018897827966573695808801666
absolute error = 1.390793347987526e-17
relative error = 1.9905723164960055332533061554525e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.288
y[1] (analytic) = 0.6991363085992371254555190319847
y[1] (numeric) = 0.69913630859923713936471858222074
absolute error = 1.390919955023604e-17
relative error = 1.9894832208191250076149097874115e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1602.2MB, alloc=4.5MB, time=161.82
NO POLE
x[1] = 0.289
y[1] (analytic) = 0.6995825132871322000607199740639
y[1] (numeric) = 0.69958251328713221397118313091848
absolute error = 1.391046315685458e-17
relative error = 1.9883949202065400853888073141565e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.29
y[1] (analytic) = 0.700028803016460473730365214875
y[1] (numeric) = 0.70002880301646048764208952048645
absolute error = 1.391172430561145e-17
relative error = 1.9873074144471066549962136118019e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.291
y[1] (analytic) = 0.7004751777617338670683167060816
y[1] (numeric) = 0.70047517776173388098129970845213
absolute error = 1.391298300237053e-17
relative error = 1.9862207033270522629862337834164e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1606.0MB, alloc=4.5MB, time=162.20
NO POLE
x[1] = 0.292
y[1] (analytic) = 0.7009216374974806059296688255128
y[1] (numeric) = 0.70092163749748061984390807849222
absolute error = 1.391423925297942e-17
relative error = 1.9851347866300436998711483969223e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.293
y[1] (analytic) = 0.7013681821982452041797597240176
y[1] (numeric) = 0.70136818219824521809525278728633
absolute error = 1.391549306326873e-17
relative error = 1.9840496641370946440087554018364e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.294
y[1] (analytic) = 0.7018148118385884464790354197457
y[1] (numeric) = 0.70181481183858846039577985879876
absolute error = 1.391674443905306e-17
relative error = 1.9829653356267144663822354807181e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1609.8MB, alloc=4.5MB, time=162.57
NO POLE
x[1] = 0.295
y[1] (analytic) = 0.7022615263930873710937164154472
y[1] (numeric) = 0.70226152639308738501170980157775
absolute error = 1.391799338613055e-17
relative error = 1.9818818008748528437475923142362e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.296
y[1] (analytic) = 0.7027083258363352527322167340566
y[1] (numeric) = 0.7027083258363352666514566443395
absolute error = 1.391923991028290e-17
relative error = 1.9807990596549114710314160054306e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.297
y[1] (analytic) = 0.7031552101429415854072653871694
y[1] (numeric) = 0.70315521014294159932774940444473
absolute error = 1.392048401727533e-17
relative error = 1.9797171117377472000674133594136e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.298
y[1] (analytic) = 0.7036021792875320653236804100224
y[1] (numeric) = 0.70360217928753207924540612287956
absolute error = 1.392172571285716e-17
relative error = 1.9786359568917632882873926153883e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1613.6MB, alloc=4.5MB, time=162.95
NO POLE
x[1] = 0.299
y[1] (analytic) = 0.7040492332447485737917457152597
y[1] (numeric) = 0.704049233244748587714710718021
absolute error = 1.392296500276130e-17
relative error = 1.9775555948828454849812133755070e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.3
y[1] (analytic) = 0.7044963719892491601661411360971
y[1] (numeric) = 0.70449637198924917409034302880172
absolute error = 1.392420189270462e-17
relative error = 1.9764760254744232766401492219444e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.301
y[1] (analytic) = 0.704943595495708024810376147502
y[1] (numeric) = 0.7049435954957080387358125358899
absolute error = 1.392543638838790e-17
relative error = 1.9753972484274713238101926024176e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1617.4MB, alloc=4.5MB, time=163.33
NO POLE
x[1] = 0.302
y[1] (analytic) = 0.7053909037388155020866778716729
y[1] (numeric) = 0.70539090373881551601334636716893
absolute error = 1.392666849549603e-17
relative error = 1.9743192635005463375779369649243e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.303
y[1] (analytic) = 0.7058382966932780433712840914422
y[1] (numeric) = 0.70583829669327805729918231113985
absolute error = 1.392789821969765e-17
relative error = 1.9732420704497444812780456259730e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.304
y[1] (analytic) = 0.7062857743338182000950921122319
y[1] (numeric) = 0.70628577433381821402421767887733
absolute error = 1.392912556664543e-17
relative error = 1.9721656690287495526923775714195e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1621.3MB, alloc=4.5MB, time=163.71
NO POLE
x[1] = 0.305
y[1] (analytic) = 0.7067333366351746068096144298726
y[1] (numeric) = 0.70673333663517462073996497184929
absolute error = 1.393035054197669e-17
relative error = 1.9710900589889290955922408179843e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.306
y[1] (analytic) = 0.7071809835721019642781922779492
y[1] (numeric) = 0.70718098357210197820976542926149
absolute error = 1.393157315131229e-17
relative error = 1.9700152400791855166341816394417e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.307
y[1] (analytic) = 0.7076287151193710225924182443554
y[1] (numeric) = 0.70762871511937103652521164461319
absolute error = 1.393279340025779e-17
relative error = 1.9689412120461285606445439774064e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1625.1MB, alloc=4.5MB, time=164.08
NO POLE
x[1] = 0.308
y[1] (analytic) = 0.7080765312517685643137192624461
y[1] (numeric) = 0.70807653125176857824773055684878
absolute error = 1.393401129440268e-17
relative error = 1.9678679746339745657626628898564e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.309
y[1] (analytic) = 0.7085244319440973876400513975436
y[1] (numeric) = 0.70852443194409740157527823686453
absolute error = 1.393522683932093e-17
relative error = 1.9667955275846324068184628304710e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.31
y[1] (analytic) = 0.7089724171711762895976579646094
y[1] (numeric) = 0.70897241717117630353409800518052
absolute error = 1.393644004057112e-17
relative error = 1.9657238706377298758164336440805e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1628.9MB, alloc=4.5MB, time=164.45
NO POLE
x[1] = 0.311
y[1] (analytic) = 0.7094204869078400492578426276198
y[1] (numeric) = 0.7094204869078400631954935313158
absolute error = 1.393765090369600e-17
relative error = 1.9646530035305596186296885286653e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.312
y[1] (analytic) = 0.7098686411289394109787092455888
y[1] (numeric) = 0.70986864112893942491756867981148
absolute error = 1.393885943422268e-17
relative error = 1.9635829259981140286966877747632e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.313
y[1] (analytic) = 0.7103168798093410676718203442698
y[1] (numeric) = 0.71031687980934108161188598193292
absolute error = 1.394006563766312e-17
relative error = 1.9625136377731622467669964738013e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1632.7MB, alloc=4.5MB, time=164.83
NO POLE
x[1] = 0.314
y[1] (analytic) = 0.7107652029239276440937262063351
y[1] (numeric) = 0.71076520292392765803499572584875
absolute error = 1.394126951951365e-17
relative error = 1.9614451385861904000288534116950e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.315
y[1] (analytic) = 0.7112136104475976801623166862777
y[1] (numeric) = 0.71121361044759769410478777153305
absolute error = 1.394247108525535e-17
relative error = 1.9603774281654629906626367024390e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.316
y[1] (analytic) = 0.7116621023552656142979479694141
y[1] (numeric) = 0.71166210235526562824161830976803
absolute error = 1.394367034035393e-17
relative error = 1.9593105062370137975975624972721e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1636.5MB, alloc=4.5MB, time=165.20
NO POLE
x[1] = 0.317
y[1] (analytic) = 0.7121106786218617667892966071795
y[1] (numeric) = 0.71211067862186178073416389743932
absolute error = 1.394486729025982e-17
relative error = 1.9582443725246663057292527964262e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.318
y[1] (analytic) = 0.7125593392223323231838932734072
y[1] (numeric) = 0.71255933922233233712995521381552
absolute error = 1.394606194040832e-17
relative error = 1.9571790267500624815975745848702e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.319
y[1] (analytic) = 0.7130080841316393177032887984695
y[1] (numeric) = 0.7130080841316393316505430946887
absolute error = 1.394725429621920e-17
relative error = 1.9561144686326143056740873285291e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1640.3MB, alloc=4.5MB, time=165.58
NO POLE
x[1] = 0.32
y[1] (analytic) = 0.7134569133247606166828051500266
y[1] (numeric) = 0.71345691332476063063124951312447
absolute error = 1.394844436309787e-17
relative error = 1.9550506978896755461211718394540e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.321
y[1] (analytic) = 0.7139058267766899020358241406961
y[1] (numeric) = 0.71390582677668991598545628712993
absolute error = 1.394963214643383e-17
relative error = 1.9539877142363318851113836582139e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.322
y[1] (analytic) = 0.7143548244624366547425667541941
y[1] (numeric) = 0.71435482446243666869338440579614
absolute error = 1.395081765160204e-17
relative error = 1.9529255173856006000441126272948e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1644.1MB, alloc=4.5MB, time=165.95
NO POLE
x[1] = 0.323
y[1] (analytic) = 0.7148039063570261383633160924474
y[1] (numeric) = 0.71480390635702615231531697640985
absolute error = 1.395200088396245e-17
relative error = 1.9518641070483720821337502539719e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.324
y[1] (analytic) = 0.7152530724354993825760370567982
y[1] (numeric) = 0.71525307243549939652921890565804
absolute error = 1.395318184885984e-17
relative error = 1.9508034829333949196310811072449e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.325
y[1] (analytic) = 0.7157023226729131667383459867453
y[1] (numeric) = 0.71570232267291318069270653836961
absolute error = 1.395436055162431e-17
relative error = 1.9497436447473518601845402345444e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=1648.0MB, alloc=4.5MB, time=166.33
x[1] = 0.326
y[1] (analytic) = 0.7161516570443400034737835896805
y[1] (numeric) = 0.71615165704434001742932058725164
absolute error = 1.395553699757114e-17
relative error = 1.9486845921948475201430301279428e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.327
y[1] (analytic) = 0.7166010755248681222823446047843
y[1] (numeric) = 0.71660107552486813623905579678488
absolute error = 1.395671119200058e-17
relative error = 1.9476263249783863747356656810884e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.328
y[1] (analytic) = 0.717050578089601453175217753646
y[1] (numeric) = 0.71705057808960146713310089384475
absolute error = 1.395788314019875e-17
relative error = 1.9465688427985056348140226852164e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.329
y[1] (analytic) = 0.7175001647136596103336896392754
y[1] (numeric) = 0.71750016471365962429274248671173
absolute error = 1.395905284743633e-17
relative error = 1.9455121453535996131807010178918e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1651.8MB, alloc=4.5MB, time=166.71
NO POLE
x[1] = 0.33
y[1] (analytic) = 0.7179498353721778757921663639591
y[1] (numeric) = 0.71794983537217788975238668292891
absolute error = 1.396022031896981e-17
relative error = 1.9444562323401013245957804117008e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.331
y[1] (analytic) = 0.7183995900403071831452667449155
y[1] (numeric) = 0.71839959004030719710665230495641
absolute error = 1.396138556004091e-17
relative error = 1.9434011034524086738390681423260e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.332
y[1] (analytic) = 0.7188494286932141012789411148857
y[1] (numeric) = 0.71884942869321411524148969076255
absolute error = 1.396254857587685e-17
relative error = 1.9423467583829291681866834185626e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1655.6MB, alloc=4.5MB, time=167.09
NO POLE
x[1] = 0.333
y[1] (analytic) = 0.7192993513060808181255698026912
y[1] (numeric) = 0.71929935130608083208927917438176
absolute error = 1.396370937169056e-17
relative error = 1.9412931968221161235207118833214e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.334
y[1] (analytic) = 0.7197493578541051244429954963793
y[1] (numeric) = 0.71974935785410513840786344905943
absolute error = 1.396486795268013e-17
relative error = 1.9402404184583991451113715160332e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.335
y[1] (analytic) = 0.7201994483125003976174437988667
y[1] (numeric) = 0.72019944831250041158346812289611
absolute error = 1.396602432402941e-17
relative error = 1.9391884229782745498079657153639e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1659.4MB, alloc=4.5MB, time=167.47
NO POLE
x[1] = 0.336
y[1] (analytic) = 0.7206496226564955854902863929896
y[1] (numeric) = 0.72064962265649559945746488389768
absolute error = 1.396717849090808e-17
relative error = 1.9381372100663219074261858264648e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.337
y[1] (analytic) = 0.7210998808613351902086013395648
y[1] (numeric) = 0.72109988086133520417693179803599
absolute error = 1.396833045847119e-17
relative error = 1.9370867794051470240301533596731e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.338
y[1] (analytic) = 0.7215502229022792520994851384671
y[1] (numeric) = 0.72155022290227926606896537032663
absolute error = 1.396948023185953e-17
relative error = 1.9360371306754401715052492427350e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1663.2MB, alloc=4.5MB, time=167.84
NO POLE
x[1] = 0.339
y[1] (analytic) = 0.7220006487546033335680712888379
y[1] (numeric) = 0.72200064875460334753869910503802
absolute error = 1.397062781620012e-17
relative error = 1.9349882635560507224164020636489e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.34
y[1] (analytic) = 0.7224511583935985030192101903542
y[1] (numeric) = 0.72245115839359851699098340695952
absolute error = 1.397177321660532e-17
relative error = 1.9339401777238704919055292981791e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.341
y[1] (analytic) = 0.722901751794571318802765333004
y[1] (numeric) = 0.72290175179457133277568177117743
absolute error = 1.397291643817343e-17
relative error = 1.9328928728539236321644932457524e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1667.0MB, alloc=4.5MB, time=168.22
NO POLE
x[1] = 0.342
y[1] (analytic) = 0.7233524289328438131824808280477
y[1] (numeric) = 0.7233524289328438271565383140365
absolute error = 1.397405748598880e-17
relative error = 1.9318463486193884534403435610056e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.343
y[1] (analytic) = 0.7238031897837534763283754377811
y[1] (numeric) = 0.72380318978375349030357180290278
absolute error = 1.397519636512168e-17
relative error = 1.9308006046915832447044416520054e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.344
y[1] (analytic) = 0.7242540343226532403326183663633
y[1] (numeric) = 0.72425403432265325430895144699165
absolute error = 1.397633308062835e-17
relative error = 1.9297556407399908102756853940989e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1670.8MB, alloc=4.5MB, time=168.60
NO POLE
x[1] = 0.345
y[1] (analytic) = 0.7247049625249114632488421783328
y[1] (numeric) = 0.72470496252491147722630981588374
absolute error = 1.397746763755094e-17
relative error = 1.9287114564322401413602399300769e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.346
y[1] (analytic) = 0.7251559743659119131548483155042
y[1] (numeric) = 0.72515597436591192713344835642236
absolute error = 1.397860004091816e-17
relative error = 1.9276680514342136487345939447849e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.347
y[1] (analytic) = 0.7256070698210537522386607867251
y[1] (numeric) = 0.72560706982105376621839108246939
absolute error = 1.397973029574429e-17
relative error = 1.9266254254099141987669691092155e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1674.7MB, alloc=4.5MB, time=168.98
NO POLE
x[1] = 0.348
y[1] (analytic) = 0.726058248865751520907883708464
y[1] (numeric) = 0.72605824886575153488874211549396
absolute error = 1.398085840702996e-17
relative error = 1.9255835780215791842262403011558e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.349
y[1] (analytic) = 0.7265095114754351219223184774176
y[1] (numeric) = 0.72650951147543513590430285717979
absolute error = 1.398198437976219e-17
relative error = 1.9245425089296923156486068863803e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.35
y[1] (analytic) = 0.7269608576255498045497964592503
y[1] (numeric) = 0.72696085762554981853290467816446
absolute error = 1.398310821891416e-17
relative error = 1.9235022177929582302235496536519e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1678.5MB, alloc=4.5MB, time=169.35
NO POLE
x[1] = 0.351
y[1] (analytic) = 0.727412287291556148745183180222
y[1] (numeric) = 0.72741228729155616272941310966742
absolute error = 1.398422992944542e-17
relative error = 1.9224627042683376859666290378340e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.352
y[1] (analytic) = 0.7278638004489300493525101108228
y[1] (numeric) = 0.72786380044893006333785962712446
absolute error = 1.398534951630166e-17
relative error = 1.9214239680110221764205281343821e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.353
y[1] (analytic) = 0.7283153970731627003301902326102
y[1] (numeric) = 0.72831539707316271431665721702547
absolute error = 1.398646698441527e-17
relative error = 1.9203860086745171116148409588167e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1682.3MB, alloc=4.5MB, time=169.73
NO POLE
x[1] = 0.354
y[1] (analytic) = 0.7287670771397605789992736812458
y[1] (numeric) = 0.72876707713976059298685601995052
absolute error = 1.398758233870472e-17
relative error = 1.9193488259105627747631684017901e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.355
y[1] (analytic) = 0.7292188406242454303146998602421
y[1] (numeric) = 0.72921884062424544430339544431744
absolute error = 1.398869558407534e-17
relative error = 1.9183124193692475612572092584311e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.356
y[1] (analytic) = 0.7296706875021542511595025211742
y[1] (numeric) = 0.72967068750215426514930924659306
absolute error = 1.398980672541886e-17
relative error = 1.9172767886989508596024806256528e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.357
y[1] (analytic) = 0.7301226177490392746619244070677
y[1] (numeric) = 0.73012261774903928865284017468117
absolute error = 1.399091576761347e-17
relative error = 1.9162419335463573675593628767123e-15 %
memory used=1686.1MB, alloc=4.5MB, time=170.10
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.358
y[1] (analytic) = 0.7305746313404679545353981563596
y[1] (numeric) = 0.73057463134046796852742087188353
absolute error = 1.399202271552393e-17
relative error = 1.9152078535564782013208113840339e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.359
y[1] (analytic) = 0.7310267282520229494413502652354
y[1] (numeric) = 0.73102672825202296343447783923737
absolute error = 1.399312757400197e-17
relative error = 1.9141745483727115988206995177166e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.36
y[1] (analytic) = 0.7314789084593021073747850062784
y[1] (numeric) = 0.73147890845930212136901535416392
absolute error = 1.399423034788552e-17
relative error = 1.9131420176367434501504391014320e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1689.9MB, alloc=4.5MB, time=170.48
NO POLE
x[1] = 0.361
y[1] (analytic) = 0.7319311719379184500726053012196
y[1] (numeric) = 0.73193117193791846406793634321941
absolute error = 1.399533104199981e-17
relative error = 1.9121102609887036873383142587846e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.362
y[1] (analytic) = 0.7323835186635001574446276451658
y[1] (numeric) = 0.73238351866350017144105730632237
absolute error = 1.399642966115657e-17
relative error = 1.9110792780670626699075150170916e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.363
y[1] (analytic) = 0.7328359486116905520272482789871
y[1] (numeric) = 0.73283594861169056602477448914108
absolute error = 1.399752621015398e-17
relative error = 1.9100490685086302983663467422188e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1693.7MB, alloc=4.5MB, time=170.86
NO POLE
x[1] = 0.364
y[1] (analytic) = 0.7332884617581480834597179055845
y[1] (numeric) = 0.73328846175814809745833859936249
absolute error = 1.399862069377799e-17
relative error = 1.9090196319487419627500250815487e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.365
y[1] (analytic) = 0.7337410580785463129829823445299
y[1] (numeric) = 0.73374105807854632698269546133027
absolute error = 1.399971311680037e-17
relative error = 1.9079909680209981438126353591045e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.366
y[1] (analytic) = 0.7341937375485738979610466180548
y[1] (numeric) = 0.73419373754857391196185010203564
absolute error = 1.400080348398084e-17
relative error = 1.9069630763575606910070167910346e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1697.6MB, alloc=4.5MB, time=171.23
NO POLE
x[1] = 0.367
y[1] (analytic) = 0.7346465001439345764248200596054
y[1] (numeric) = 0.73464650014393459042671185967088
absolute error = 1.400189180006548e-17
relative error = 1.9059359565889416411778133454745e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.368
y[1] (analytic) = 0.7350993458403471516384001341257
y[1] (numeric) = 0.73509934584034716564137820391321
absolute error = 1.400297806978751e-17
relative error = 1.9049096083441152249964287392942e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.369
y[1] (analytic) = 0.7355522746135454766877527569291
y[1] (numeric) = 0.73555227461354549069181505479646
absolute error = 1.400406229786736e-17
relative error = 1.9038840312505329355941755995596e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1701.4MB, alloc=4.5MB, time=171.61
NO POLE
x[1] = 0.37
y[1] (analytic) = 0.7360052864392784390917469954383
y[1] (numeric) = 0.73600528643927845309689148445075
absolute error = 1.400514448901245e-17
relative error = 1.9028592249340991415917866581471e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.371
y[1] (analytic) = 0.7364583812933099454355021352295
y[1] (numeric) = 0.73645838129330995944172678314703
absolute error = 1.400622464791753e-17
relative error = 1.9018351890192228316584991944454e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.372
y[1] (analytic) = 0.7369115591514189060260051887105
y[1] (numeric) = 0.73691155915141892003330796797461
absolute error = 1.400730277926411e-17
relative error = 1.9008119231287456817306597018055e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1705.2MB, alloc=4.5MB, time=171.98
NO POLE
x[1] = 0.373
y[1] (analytic) = 0.737364819989399219569957021385
y[1] (numeric) = 0.73736481998939923357833590910668
absolute error = 1.400837888772168e-17
relative error = 1.8997894268841131457528929476616e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.374
y[1] (analytic) = 0.7378181637830597578738053670258
y[1] (numeric) = 0.73781816378305977188325834497184
absolute error = 1.400945297794604e-17
relative error = 1.8987676999051532222224087316842e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.375
y[1] (analytic) = 0.738271590508224350565923099169
y[1] (numeric) = 0.73827159050822436457644815375012
absolute error = 1.401052505458112e-17
relative error = 1.8977467418103287634362973703933e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1709.0MB, alloc=4.5MB, time=172.37
NO POLE
x[1] = 0.376
y[1] (analytic) = 0.7387251001407317698408902221924
y[1] (numeric) = 0.73872510014073178385248534445016
absolute error = 1.401159512225776e-17
relative error = 1.8967265522165773376352737821114e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.377
y[1] (analytic) = 0.739178692656435715225838140807
y[1] (numeric) = 0.73917869265643572923850132640145
absolute error = 1.401266318559445e-17
relative error = 1.8957071307394168415427611555368e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.378
y[1] (analytic) = 0.7396323680312047983688148621155
y[1] (numeric) = 0.73963236803120481238254411131231
absolute error = 1.401372924919681e-17
relative error = 1.8946884769928803712166910618277e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1712.8MB, alloc=4.5MB, time=172.74
NO POLE
x[1] = 0.379
y[1] (analytic) = 0.7400861262409225278491298794432
y[1] (numeric) = 0.74008612624092254186392319710146
absolute error = 1.401479331765826e-17
relative error = 1.8936705905896121263075751082079e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.38
y[1] (analytic) = 0.7405399672614872940096375819502
y[1] (numeric) = 0.74053996726148730802549297750971
absolute error = 1.401585539555951e-17
relative error = 1.8926534711408036203040524960753e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.381
y[1] (analytic) = 0.7409938910688123538109181285699
y[1] (numeric) = 0.7409938910688123678278336160388
absolute error = 1.401691548746890e-17
relative error = 1.8916371182562448377009436153421e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1716.6MB, alloc=4.5MB, time=173.12
NO POLE
x[1] = 0.382
y[1] (analytic) = 0.7414478976388258157073148191057
y[1] (numeric) = 0.741447897638825829725288417048
absolute error = 1.401797359794230e-17
relative error = 1.8906215315443158616409017672191e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.383
y[1] (analytic) = 0.7419019869474706245447870893431
y[1] (numeric) = 0.74190198694747063856381682086642
absolute error = 1.401902973152332e-17
relative error = 1.8896067106120203184796547330875e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.384
y[1] (analytic) = 0.7423561589707045464805383508074
y[1] (numeric) = 0.74235615897070456050062224355054
absolute error = 1.402008389274314e-17
relative error = 1.8885926550649675129100025732717e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=1720.4MB, alloc=4.5MB, time=173.49
x[1] = 0.385
y[1] (analytic) = 0.7428104136845001539243779893133
y[1] (numeric) = 0.74281041368450016794551407543381
absolute error = 1.402113608612051e-17
relative error = 1.8875793645073775163276022933356e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.386
y[1] (analytic) = 0.7432647510648448105017769297157
y[1] (numeric) = 0.74326475106484482452396324587818
absolute error = 1.402218631616248e-17
relative error = 1.8865668385421844535390803917972e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.387
y[1] (analytic) = 0.7437191710877406560385762672845
y[1] (numeric) = 0.74371917108774067006181085464756
absolute error = 1.402323458736306e-17
relative error = 1.8855550767708610816047615510425e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.388
y[1] (analytic) = 0.7441736737292045915673085588764
y[1] (numeric) = 0.74417367372920460559158946308113
absolute error = 1.402428090420473e-17
relative error = 1.8845440787936269881085990437211e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1724.3MB, alloc=4.5MB, time=173.87
NO POLE
x[1] = 0.389
y[1] (analytic) = 0.7446282589652682643550914595932
y[1] (numeric) = 0.74462825896526827838041673075069
absolute error = 1.402532527115749e-17
relative error = 1.8835338442093256623978282910036e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.39
y[1] (analytic) = 0.7450829267719780529530534828622
y[1] (numeric) = 0.74508292677197806697942117554175
absolute error = 1.402636769267955e-17
relative error = 1.8825243726155221280585359604983e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.391
y[1] (analytic) = 0.7455376771253950522672517538872
y[1] (numeric) = 0.74553767712539506629465992710385
absolute error = 1.402740817321665e-17
relative error = 1.8815156636084164597092116503879e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1728.1MB, alloc=4.5MB, time=174.25
NO POLE
x[1] = 0.392
y[1] (analytic) = 0.7459925100015950586510417181694
y[1] (numeric) = 0.74599251000159507267948843537211
absolute error = 1.402844671720271e-17
relative error = 1.8805077167829359036031000751714e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.393
y[1] (analytic) = 0.7464474253766685550188588583104
y[1] (numeric) = 0.74644742537666856904834218737009
absolute error = 1.402948332905969e-17
relative error = 1.8795005317327208283357118756892e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.394
y[1] (analytic) = 0.7469024232267206959813725635669
y[1] (numeric) = 0.7469024232267207100118905767646
absolute error = 1.403051801319770e-17
relative error = 1.8784941080501441999284605797557e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1731.9MB, alloc=4.5MB, time=174.63
NO POLE
x[1] = 0.395
y[1] (analytic) = 0.7473575035278712930019723876423
y[1] (numeric) = 0.74735750352787130703352316165695
absolute error = 1.403155077401465e-17
relative error = 1.8774884453262694370372290360169e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.396
y[1] (analytic) = 0.7478126662562547995745470209659
y[1] (numeric) = 0.74781266625625481360712863686266
absolute error = 1.403258161589676e-17
relative error = 1.8764835431509234235742728939265e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.397
y[1] (analytic) = 0.7482679113880202964225163942358
y[1] (numeric) = 0.74826791138802031045612693745414
absolute error = 1.403361054321834e-17
relative error = 1.8754794011126716976721157356924e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1735.7MB, alloc=4.5MB, time=175.00
NO POLE
x[1] = 0.398
y[1] (analytic) = 0.748723238899331476719077420277
y[1] (numeric) = 0.74872323889933149075371498061878
absolute error = 1.403463756034178e-17
relative error = 1.8744760187988217803107087231654e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.399
y[1] (analytic) = 0.7491786487663666313286239713007
y[1] (numeric) = 0.74917864876636664536428664291886
absolute error = 1.403566267161816e-17
relative error = 1.8734733957955092505257807925309e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.4
y[1] (analytic) = 0.7496341409653186340693017784447
y[1] (numeric) = 0.74963414096531864810598765983101
absolute error = 1.403668588138631e-17
relative error = 1.8724715316875767406987295144609e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1739.5MB, alloc=4.5MB, time=175.37
NO POLE
x[1] = 0.401
y[1] (analytic) = 0.7500897154723949269966590300183
y[1] (numeric) = 0.75008971547239494103436622399177
absolute error = 1.403770719397347e-17
relative error = 1.8714704260586666818989909515052e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.402
y[1] (analytic) = 0.7505453722638175057083535341876
y[1] (numeric) = 0.7505453722638175197470801478832
absolute error = 1.403872661369560e-17
relative error = 1.8704700784912670801070846706201e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.403
y[1] (analytic) = 0.7510011113158229046698774009028
y[1] (numeric) = 0.75100111131582291870962154575921
absolute error = 1.403974414485641e-17
relative error = 1.8694704885665866879207396577442e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1743.3MB, alloc=4.5MB, time=175.75
NO POLE
x[1] = 0.404
y[1] (analytic) = 0.7514569326046621825612602866914
y[1] (numeric) = 0.75145693260466219660202007844004
absolute error = 1.404075979174864e-17
relative error = 1.8684716558647300501726961163707e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.405
y[1] (analytic) = 0.7519128361066009076447123345365
y[1] (numeric) = 0.75191283610660092168648589318966
absolute error = 1.404177355865316e-17
relative error = 1.8674735799645819869648498471563e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.406
y[1] (analytic) = 0.7523688217979191431531680294008
y[1] (numeric) = 0.75236882179791915719595347924001
absolute error = 1.404278544983921e-17
relative error = 1.8664762604438440193561911169550e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1747.1MB, alloc=4.5MB, time=176.13
NO POLE
x[1] = 0.407
y[1] (analytic) = 0.7528248896549114326996922780724
y[1] (numeric) = 0.75282488965491144674348774763715
absolute error = 1.404379546956475e-17
relative error = 1.8654796968790852756260700521054e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.408
y[1] (analytic) = 0.753281039653886785707710109882
y[1] (numeric) = 0.75328103965388679975251373195858
absolute error = 1.404480362207658e-17
relative error = 1.8644838888457626807713034470116e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.409
y[1] (analytic) = 0.7537372717711686628620214824797
y[1] (numeric) = 0.75373727177116867690783139408905
absolute error = 1.404580991160935e-17
relative error = 1.8634888359180938077118633659737e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1751.0MB, alloc=4.5MB, time=176.50
NO POLE
x[1] = 0.41
y[1] (analytic) = 0.7541935859830949615805627642576
y[1] (numeric) = 0.75419358598309497562737710664454
absolute error = 1.404681434238694e-17
relative error = 1.8624945376692444341674507015182e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.411
y[1] (analytic) = 0.7546499822660180015068765521798
y[1] (numeric) = 0.75464998226601801555469347080165
absolute error = 1.404781691862185e-17
relative error = 1.8615009936712517219148476176828e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.412
y[1] (analytic) = 0.7551064605963045100232515707084
y[1] (numeric) = 0.7551064605963045240720692152233
absolute error = 1.404881764451490e-17
relative error = 1.8605082034949887295636177183743e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=1754.8MB, alloc=4.5MB, time=176.88
x[1] = 0.413
y[1] (analytic) = 0.7555630209503356077844944842155
y[1] (numeric) = 0.75556302095033562183431100847163
absolute error = 1.404981652425613e-17
relative error = 1.8595161667102878771439676878785e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.414
y[1] (analytic) = 0.756019663304506794272295541743
y[1] (numeric) = 0.75601966330450680832310910376671
absolute error = 1.405081356202371e-17
relative error = 1.8585248828858007438321763696570e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.415
y[1] (analytic) = 0.7564763876352279333701500591997
y[1] (numeric) = 0.75647638763522794742195882118519
absolute error = 1.405180876198549e-17
relative error = 1.8575343515892073610434136296838e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.416
y[1] (analytic) = 0.7569331939189232389587978301
y[1] (numeric) = 0.75693319391892325301159995839745
absolute error = 1.405280212829745e-17
relative error = 1.8565445723870152015790219075796e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1758.6MB, alloc=4.5MB, time=177.25
NO POLE
x[1] = 0.417
y[1] (analytic) = 0.7573900821320312605321426417113
y[1] (numeric) = 0.75739008213203127458593630681588
absolute error = 1.405379366510458e-17
relative error = 1.8555555448446797358864150015352e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.418
y[1] (analytic) = 0.7578470522510048688336141590299
y[1] (numeric) = 0.75784705225100488288839753557097
absolute error = 1.405478337654107e-17
relative error = 1.8545672685266335060182542854575e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.419
y[1] (analytic) = 0.7583041042523112415129345243176
y[1] (numeric) = 0.75830410425231125556870579104719
absolute error = 1.405577126672959e-17
relative error = 1.8535797429961950908832268624814e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1762.4MB, alloc=4.5MB, time=177.63
NO POLE
x[1] = 0.42
y[1] (analytic) = 0.758761238112431848803252105015
y[1] (numeric) = 0.75876123811243186286000944479729
absolute error = 1.405675733978229e-17
relative error = 1.8525929678157050868597171967388e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.421
y[1] (analytic) = 0.759218453807862439218604907713
y[1] (numeric) = 0.75921845380786245327634650751296
absolute error = 1.405774159979996e-17
relative error = 1.8516069425464192437382004916061e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.422
y[1] (analytic) = 0.7596757513151130252716762604892
y[1] (numeric) = 0.75967575131511303933040031136185
absolute error = 1.405872405087265e-17
relative error = 1.8506216667485941748291220645658e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1766.2MB, alloc=4.5MB, time=178.01
NO POLE
x[1] = 0.423
y[1] (analytic) = 0.760133130610707869211805450328
y[1] (numeric) = 0.76013313061070788327151014740714
absolute error = 1.405970469707914e-17
relative error = 1.8496371399814214694561835075132e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.424
y[1] (analytic) = 0.7605905916711854687832160865183
y[1] (numeric) = 0.76059059167118548284389962900616
absolute error = 1.406068354248786e-17
relative error = 1.8486533618031526855168296310617e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.425
y[1] (analytic) = 0.7610481344730985430034250448841
y[1] (numeric) = 0.76104813447309855706508563604015
absolute error = 1.406166059115605e-17
relative error = 1.8476703317709926322327575961307e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1770.0MB, alloc=4.5MB, time=178.39
NO POLE
x[1] = 0.426
y[1] (analytic) = 0.7615057589930140179617949314291
y[1] (numeric) = 0.76150575899301403202443077855897
absolute error = 1.406263584712987e-17
relative error = 1.8466880494411177913935692277654e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.427
y[1] (analytic) = 0.7619634652075130126381930874868
y[1] (numeric) = 0.7619634652075130267018024019322
absolute error = 1.406360931444540e-17
relative error = 1.8457065143688114767515651325875e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.428
y[1] (analytic) = 0.7624212530931908247417202417563
y[1] (numeric) = 0.76242125309319083880630123888366
absolute error = 1.406458099712736e-17
relative error = 1.8447257261082994602220235438794e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1773.9MB, alloc=4.5MB, time=178.77
NO POLE
x[1] = 0.429
y[1] (analytic) = 0.7628791226266569165694719976595
y[1] (numeric) = 0.76287912262665693063502289684936
absolute error = 1.406555089918986e-17
relative error = 1.8437456842128522880101869659860e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.43
y[1] (analytic) = 0.7633370737845349008852964273041
y[1] (numeric) = 0.76333707378453491495181545194072
absolute error = 1.406651902463662e-17
relative error = 1.8427663882348177975255258470064e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.431
y[1] (analytic) = 0.7637951065434625268185111259556
y[1] (numeric) = 0.76379510654346254088599650341593
absolute error = 1.406748537746033e-17
relative error = 1.8417878377255409225495555855091e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1777.7MB, alloc=4.5MB, time=179.14
NO POLE
x[1] = 0.432
y[1] (analytic) = 0.76425322088009166578254316332
y[1] (numeric) = 0.76425322088009167985099312496336
absolute error = 1.406844996164336e-17
relative error = 1.8408100322354604306942621083257e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.433
y[1] (analytic) = 0.7647114167710882974134554501253
y[1] (numeric) = 0.76471141677108831148286823128257
absolute error = 1.406941278115727e-17
relative error = 1.8398329713140483921117657328669e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.434
y[1] (analytic) = 0.7651696941931324955283231204485
y[1] (numeric) = 0.76516969419313250959869696041144
absolute error = 1.407037383996294e-17
relative error = 1.8388566545098308943161735723220e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1781.5MB, alloc=4.5MB, time=179.52
NO POLE
x[1] = 0.435
y[1] (analytic) = 0.7656280531229184141034236119817
y[1] (numeric) = 0.76562805312291842817475675399296
absolute error = 1.407133314201126e-17
relative error = 1.8378810813704818260718238438100e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.436
y[1] (analytic) = 0.7660864935371542732722042079607
y[1] (numeric) = 0.76608649353715428734449489920267
absolute error = 1.407229069124197e-17
relative error = 1.8369062514426748383320487348265e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.437
y[1] (analytic) = 0.766545015412562345342990885784
y[1] (numeric) = 0.76654501541256235941623737736893
absolute error = 1.407324649158493e-17
relative error = 1.8359321642722528440383976001299e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1785.3MB, alloc=4.5MB, time=179.90
NO POLE
x[1] = 0.438
y[1] (analytic) = 0.7670036187258789408364023984537
y[1] (numeric) = 0.76700361872587895491060294541285
absolute error = 1.407420054695915e-17
relative error = 1.8349588194041048652426734330677e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.439
y[1] (analytic) = 0.7674623034538543945424335958411
y[1] (numeric) = 0.76746230345385440861758645711454
absolute error = 1.407515286127344e-17
relative error = 1.8339862163822544078294140204897e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.44
y[1] (analytic) = 0.7679210695732530515971720734509
y[1] (numeric) = 0.76792106957325306567327551187701
absolute error = 1.407610343842611e-17
relative error = 1.8330143547498238097153213756622e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=1789.1MB, alloc=4.5MB, time=180.28
NO POLE
x[1] = 0.441
y[1] (analytic) = 0.7683799170608532535791123168049
y[1] (numeric) = 0.7683799170608532676561645991101
absolute error = 1.407705228230520e-17
relative error = 1.8320432340490676938274469079552e-15 %
Correct digits = 16
h = 0.001
Finished!
Maximum Time Reached before Solution Completed!
diff ( y , x , 1 ) = arctan(sqrt(0.1 * x + 0.2));
Iterations = 1441
Total Elapsed Time = 3 Minutes 0 Seconds
Elapsed Time(since restart) = 3 Minutes 0 Seconds
Expected Time Remaining = 7 Seconds
Optimized Time Remaining = 7 Seconds
Expected Total Time = 3 Minutes 7 Seconds
Time to Timeout Unknown
Percent Done = 96.13 %
> quit
memory used=1789.2MB, alloc=4.5MB, time=180.29