|\^/| Maple 12 (IBM INTEL LINUX)
._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008
\ MAPLE / All rights reserved. Maple is a trademark of
<____ ____> Waterloo Maple Inc.
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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_a1,
> array_tmp3,
> array_tmp4,
> 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_a1, array_tmp3, array_tmp4, 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_a1,
> array_tmp3,
> array_tmp4,
> 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_a1, array_tmp3, array_tmp4, 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_a1,
> array_tmp3,
> array_tmp4,
> 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_a1, array_tmp3, array_tmp4, 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_a1,
> array_tmp3,
> array_tmp4,
> 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_a1, array_tmp3, array_tmp4, 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_a1,
> array_tmp3,
> array_tmp4,
> 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_a1, array_tmp3, array_tmp4, 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_a1,
> array_tmp3,
> array_tmp4,
> 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_a1, array_tmp3, array_tmp4, 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_a1,
> array_tmp3,
> array_tmp4,
> 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_a1, array_tmp3, array_tmp4, 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_a1,
> array_tmp3,
> array_tmp4,
> 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_a1, array_tmp3, array_tmp4, 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_a1,
> array_tmp3,
> array_tmp4,
> 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];
> omniout_str(ALWAYS,"WARNING: arccos of linear function has low precision in testing.");
> #emit pre acos ID_LINEAR iii = 1 $eq_no = 1
> #emit pre acos 1 $eq_no = 1
> array_tmp3[1] := arccos(array_tmp2[1]);
> array_tmp3_a1[1] := sin(array_tmp3[1]);
> #emit pre add CONST FULL $eq_no = 1 i = 1
> array_tmp4[1] := array_const_0D0[1] + array_tmp3[1];
> #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5
> if ( not array_y_set_initial[1,2]) then # if number 1
> if (1 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[1] * 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 acos ID_LINEAR iii = 2 $eq_no = 1
> #emit pre acos 1 $eq_no = 1
> array_tmp3[2] := - array_tmp2[2] / array_tmp3_a1[1];
> array_tmp3_a1[2] := array_tmp2[1] * array_tmp3[2];
> #emit pre add CONST FULL $eq_no = 1 i = 2
> array_tmp4[2] := array_tmp3[2];
> #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5
> if ( not array_y_set_initial[1,3]) then # if number 1
> if (2 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[2] * 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 acos ID_LINEAR iii = 3 $eq_no = 1
> array_tmp3[3] := att(2,array_tmp3_a1,array_tmp3,2) / array_tmp3_a1[1];
> array_tmp3_a1[3] := array_tmp3[3] * array_tmp2[1] + array_tmp3[2] * array_tmp2[2] * 1 / 2;
> #emit pre add CONST FULL $eq_no = 1 i = 3
> array_tmp4[3] := array_tmp3[3];
> #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5
> if ( not array_y_set_initial[1,4]) then # if number 1
> if (3 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[3] * 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 acos ID_LINEAR iii = 4 $eq_no = 1
> array_tmp3[4] := att(3,array_tmp3_a1,array_tmp3,2) / array_tmp3_a1[1];
> array_tmp3_a1[4] := array_tmp3[4] * array_tmp2[1] + array_tmp3[3] * array_tmp2[2] * 2 / 3;
> #emit pre add CONST FULL $eq_no = 1 i = 4
> array_tmp4[4] := array_tmp3[4];
> #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5
> if ( not array_y_set_initial[1,5]) then # if number 1
> if (4 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[4] * 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 acos ID_LINEAR iii = 5 $eq_no = 1
> array_tmp3[5] := att(4,array_tmp3_a1,array_tmp3,2) / array_tmp3_a1[1];
> array_tmp3_a1[5] := array_tmp3[5] * array_tmp2[1] + array_tmp3[4] * array_tmp2[2] * 3 / 4;
> #emit pre add CONST FULL $eq_no = 1 i = 5
> array_tmp4[5] := array_tmp3[5];
> #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5
> if ( not array_y_set_initial[1,6]) then # if number 1
> if (5 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[5] * 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 acos ID_LINEAR $eq_no = 1
> array_tmp3[kkk] := att(kkk-1,array_tmp3_a1,array_tmp3,2)/array_tmp3_a1[1];
> array_tmp3_a1[kkk] := array_tmp3[kkk] * array_tmp2[1] + array_tmp3[kkk-1] * array_tmp2[2] * (kkk - 2) / (kkk - 1);
> #emit NOT FULL - FULL add $eq_no = 1
> array_tmp4[kkk] := array_tmp3[kkk];
> #emit assign $eq_no = 1
> order_d := 1;
> if (kkk + order_d + 1 <= glob_max_terms) then # if number 1
> if ( not array_y_set_initial[1,kkk + order_d]) then # if number 2
> temporary := array_tmp4[kkk] * 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_a1, array_tmp3, array_tmp4, 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];
omniout_str(ALWAYS,
"WARNING: arccos of linear function has low precision in testing.")
;
array_tmp3[1] := arccos(array_tmp2[1]);
array_tmp3_a1[1] := sin(array_tmp3[1]);
array_tmp4[1] := array_const_0D0[1] + array_tmp3[1];
if not array_y_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp4[1]*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_a1[1];
array_tmp3_a1[2] := array_tmp2[1]*array_tmp3[2];
array_tmp4[2] := array_tmp3[2];
if not array_y_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp4[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] := att(2, array_tmp3_a1, array_tmp3, 2)/array_tmp3_a1[1];
array_tmp3_a1[3] :=
array_tmp3[3]*array_tmp2[1] + 1/2*array_tmp3[2]*array_tmp2[2];
array_tmp4[3] := array_tmp3[3];
if not array_y_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp4[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] := att(3, array_tmp3_a1, array_tmp3, 2)/array_tmp3_a1[1];
array_tmp3_a1[4] :=
array_tmp3[4]*array_tmp2[1] + 2/3*array_tmp3[3]*array_tmp2[2];
array_tmp4[4] := array_tmp3[4];
if not array_y_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp4[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] := att(4, array_tmp3_a1, array_tmp3, 2)/array_tmp3_a1[1];
array_tmp3_a1[5] :=
array_tmp3[5]*array_tmp2[1] + 3/4*array_tmp3[4]*array_tmp2[2];
array_tmp4[5] := array_tmp3[5];
if not array_y_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp4[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] :=
att(kkk - 1, array_tmp3_a1, array_tmp3, 2)/array_tmp3_a1[1];
array_tmp3_a1[kkk] := array_tmp3[kkk]*array_tmp2[1]
+ array_tmp3[kkk - 1]*array_tmp2[2]*(kkk - 2)/(kkk - 1);
array_tmp4[kkk] := array_tmp3[kkk];
order_d := 1;
if kkk + order_d + 1 <= glob_max_terms then
if not array_y_set_initial[1, kkk + order_d] then
temporary := array_tmp4[kkk]*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) * arccos(0.1 * x + 0.2 ) - 10.0 * sqrt(1.0 -
> expt((0.1 * x + 0.2) , 2 )));
> end;
exact_soln_y := proc(x)
return 10.0*(0.1*x + 0.2)*arccos(0.1*x + 0.2)
- 10.0*sqrt(1.0 - expt(0.1*x + 0.2, 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_a1,
> array_tmp3,
> array_tmp4,
> 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/lin_arccospostode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = arccos(0.1 * x + 0.2) ;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"max_terms:=30;");
> omniout_str(ALWAYS,"Digits:=32;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#END FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"x_start := -0.8;");
> omniout_str(ALWAYS,"x_end := 0.8 ;");
> omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);");
> omniout_str(ALWAYS,"glob_h := 0.00001 ;");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 100;");
> 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) * arccos(0.1 * x + 0.2 ) - 10.0 * sqrt(1.0 -");
> omniout_str(ALWAYS,"expt((0.1 * x + 0.2) , 2 )));");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"");
> omniout_str(ALWAYS,"#END USER DEF BLOCK");
> omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################");
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_small_float := 1.0e-200;
> glob_smallish_float := 1.0e-64;
> glob_large_float := 1.0e100;
> glob_almost_1 := 0.99;
> glob_log10_abserr := -8.0;
> glob_log10_relerr := -8.0;
> glob_hmax := 0.01;
> #BEGIN FIRST INPUT BLOCK
> #BEGIN FIRST INPUT BLOCK
> max_terms:=30;
> Digits:=32;
> #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_a1:= Array(0..(max_terms + 1),[]);
> array_tmp3:= Array(0..(max_terms + 1),[]);
> array_tmp4:= 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_a1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_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_a1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp3_a1[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 := 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_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 := -0.8;
> x_end := 0.8 ;
> array_y_init[0 + 1] := exact_soln_y(x_start);
> glob_h := 0.00001 ;
> glob_look_poles := true;
> glob_max_iter := 100;
> #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 ) = arccos(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,"2012-12-14T22:52:49-06:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"lin_arccos")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = arccos(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,"lin_arccos diffeq.mxt")
> ;
> logitem_str(html_log_file,"lin_arccos 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_a1, array_tmp3, array_tmp4, 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/lin_arccospostode.ode#################");
omniout_str(ALWAYS, "diff ( y , x , 1 ) = arccos(0.1 * x + 0.2) ;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK");
omniout_str(ALWAYS, "max_terms:=30;");
omniout_str(ALWAYS, "Digits:=32;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#END FIRST INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK");
omniout_str(ALWAYS, "x_start := -0.8;");
omniout_str(ALWAYS, "x_end := 0.8 ;");
omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);");
omniout_str(ALWAYS, "glob_h := 0.00001 ;");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 100;");
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) * arccos(0.1 * x \
+ 0.2 ) - 10.0 * sqrt(1.0 -");
omniout_str(ALWAYS, "expt((0.1 * x + 0.2) , 2 )));");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "");
omniout_str(ALWAYS, "#END USER DEF BLOCK");
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################");
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_small_float := 0.10*10^(-199);
glob_smallish_float := 0.10*10^(-63);
glob_large_float := 0.10*10^101;
glob_almost_1 := 0.99;
glob_log10_abserr := -8.0;
glob_log10_relerr := -8.0;
glob_hmax := 0.01;
max_terms := 30;
Digits := 32;
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_a1 := Array(0 .. max_terms + 1, []);
array_tmp3 := Array(0 .. max_terms + 1, []);
array_tmp4 := 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_a1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_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_a1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp3_a1[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 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp4[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 := -0.8;
x_end := 0.8;
array_y_init[1] := exact_soln_y(x_start);
glob_h := 0.00001;
glob_look_poles := true;
glob_max_iter := 100;
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 ) = arccos(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, "2012-12-14T22:52:49-06:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file,
"lin_arccos");
logitem_str(html_log_file,
"diff ( y , x , 1 ) = arccos(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, "lin_arccos diffeq.mxt");
logitem_str(html_log_file, "lin_arccos 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/lin_arccospostode.ode#################
diff ( y , x , 1 ) = arccos(0.1 * x + 0.2) ;
!
#BEGIN FIRST INPUT BLOCK
max_terms:=30;
Digits:=32;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := -0.8;
x_end := 0.8 ;
array_y_init[0 + 1] := exact_soln_y(x_start);
glob_h := 0.00001 ;
glob_look_poles := true;
glob_max_iter := 100;
#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) * arccos(0.1 * x + 0.2 ) - 10.0 * sqrt(1.0 -
expt((0.1 * x + 0.2) , 2 )));
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Optimize
min_size = 0
min_size = 1
opt_iter = 1
WARNING: arccos of linear function has low precision in testing.
glob_desired_digits_correct = 10
desired_abs_gbl_error = 1.0000000000000000000000000000000e-10
range = 1.6
estimated_steps = 1600
step_error = 6.2500000000000000000000000000000e-14
est_needed_step_err = 6.2500000000000000000000000000000e-14
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
value3 = 1.9870338152466896193177827327964e-104
max_value3 = 1.9870338152466896193177827327964e-104
value3 = 1.9870338152466896193177827327964e-104
best_h = 0.001
START of Soultion
x[1] = -0.8
y[1] (analytic) = -8.1871311835125550194134248888549
y[1] (numeric) = -8.1871311835125550194134248888549
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.891
Order of pole = 0.3249
x[1] = -0.799
y[1] (analytic) = -8.1856807274322946059902226240723
y[1] (numeric) = -8.1856807274318857226481510130038
absolute error = 4.088833420716110685e-13
relative error = 4.9951049361275375246817795925473e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.891
Order of pole = 0.3249
x[1] = -0.798
y[1] (analytic) = -8.1842303720811317125900473651934
y[1] (numeric) = -8.1842303720803135902867687079317
absolute error = 8.181223032786572617e-13
relative error = 9.9963254464282701116179925475545e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.891
Order of pole = 0.3248
x[1] = -0.797
y[1] (analytic) = -8.1827801174602943340696446104243
y[1] (numeric) = -8.1827801174590666171477465797938
absolute error = 1.2277169218980306305e-12
relative error = 1.5003665065841700293352072239924e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.891
Order of pole = 0.3248
x[1] = -0.796
y[1] (analytic) = -8.1813299635710115323061164019284
y[1] (numeric) = -8.1813299635693738650698740327553
absolute error = 1.6376672362423691731e-12
relative error = 2.0017127331795761573771970707265e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.89
Order of pole = 0.3248
memory used=3.8MB, alloc=2.9MB, time=0.33
x[1] = -0.795
y[1] (analytic) = -8.1798799104145134363119045245663
y[1] (numeric) = -8.1798799104124654630272444575864
absolute error = 2.0479732846600669799e-12
relative error = 2.5036715784208700307963708499099e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.89
Order of pole = 0.3248
x[1] = -0.794
y[1] (analytic) = -8.1784299579920312423498809866679
y[1] (numeric) = -8.1784299579895726072443457022806
absolute error = 2.4586351055352843873e-12
relative error = 3.0062433965490959209929532998960e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.89
Order of pole = 0.3248
x[1] = -0.793
y[1] (analytic) = -8.1769801063047972140485458133163
y[1] (numeric) = -8.1769801063019275613112578551731
absolute error = 2.8696527372879581432e-12
relative error = 3.5094285420547062523915202045660e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.89
Order of pole = 0.3248
x[1] = -0.792
y[1] (analytic) = -8.1755303553540446825173321826513
y[1] (numeric) = -8.1755303553507636562989583710697
absolute error = 3.2810262183738115816e-12
relative error = 4.0132273696777502829090251459265e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.89
Order of pole = 0.3248
x[1] = -0.791
y[1] (analytic) = -8.1740807051410080464620189357358
y[1] (numeric) = -8.1740807051373152908747345709258
absolute error = 3.6927555872843648100e-12
relative error = 4.5176402344080629524354447566338e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.89
Order of pole = 0.3248
x[1] = -0.79
y[1] (analytic) = -8.1726311556669227723002504905512
y[1] (numeric) = -8.1726311556628179314177035456475
absolute error = 4.1048408825469449037e-12
relative error = 5.0226674914854538922644155857905e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.89
Order of pole = 0.3247
x[1] = -0.789
y[1] (analytic) = -8.1711817069330253942771641907329
y[1] (numeric) = -8.1711817069285081121344394946182
absolute error = 4.5172821427246961147e-12
relative error = 5.5283094963998966050450102988847e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.89
Order of pole = 0.3247
x[1] = -0.788
y[1] (analytic) = -8.1697323589405535145811251196721
y[1] (numeric) = -8.1697323589356234351747085295852
absolute error = 4.9300794064165900869e-12
relative error = 6.0345666048917178052548397801913e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.889
Order of pole = 0.3247
x[1] = -0.787
y[1] (analytic) = -8.1682831116907458034595684106577
y[1] (numeric) = -8.1682831116854025707473109745722
absolute error = 5.3432327122574360855e-12
relative error = 6.5414391729517869300132199167375e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.889
Order of pole = 0.3247
x[1] = -0.786
y[1] (analytic) = -8.1668339651848419993349490837493
y[1] (numeric) = -8.1668339651790852572360311925152
absolute error = 5.7567420989178912341e-12
relative error = 7.0489275568217058124347282459375e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.889
Order of pole = 0.3247
x[1] = -0.785
y[1] (analytic) = -8.1653849194240829089207994401145
y[1] (numeric) = -8.1653849194179123013156949693507
absolute error = 6.1706076051044707638e-12
relative error = 7.5570321129939985229389048941750e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=7.6MB, alloc=3.9MB, time=0.71
Complex estimate of poles used
Radius of convergence = 9.889
Order of pole = 0.3247
x[1] = -0.784
y[1] (analytic) = -8.1639359744097104073378940445889
y[1] (numeric) = -8.1639359744031255780683344863162
absolute error = 6.5848292695595582727e-12
relative error = 8.0657531982123013767125749337412e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.889
Order of pole = 0.3247
x[1] = -0.783
y[1] (analytic) = -8.1624871301429674382305223272498
y[1] (numeric) = -8.1624871301359680310994609112553
absolute error = 6.9994071310614159945e-12
relative error = 8.5750911694715531058861808295194e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.889
Order of pole = 0.3247
x[1] = -0.782
y[1] (analytic) = -8.1610383866250980138828688348294
y[1] (numeric) = -8.1610383866176836726544446397498
absolute error = 7.4143412284241950796e-12
relative error = 9.0850463840181852007424797768523e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.889
Order of pole = 0.3247
x[1] = -0.781
y[1] (analytic) = -8.1595897438573472153355011628202
y[1] (numeric) = -8.1595897438495175837350032169347
absolute error = 7.8296316004979458855e-12
relative error = 9.5956191993503124161933907712197e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.889
Order of pole = 0.3247
x[1] = -0.78
y[1] (analytic) = -8.158141201840961192501965599159
y[1] (numeric) = -8.1581412018327159142157969708809
absolute error = 8.2452782861686282781e-12
relative error = 1.0106809973217923445639059624754e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.888
Order of pole = 0.3246
x[1] = -0.779
y[1] (analytic) = -8.1566927605771871642854905104076
y[1] (numeric) = -8.1566927605685258829611323884651
absolute error = 8.6612813243581219425e-12
relative error = 1.0618619063623071760648190538098e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.888
Order of pole = 0.3246
x[1] = -0.778
y[1] (analytic) = -8.155244420067273418695797501381
y[1] (numeric) = -8.1552444200581957779417732646745
absolute error = 9.0776407540242367065e-12
relative error = 1.1131046828820066620536954874027e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.888
Order of pole = 0.3246
x[1] = -0.777
y[1] (analytic) = -8.1537961803124693129660203792009
y[1] (numeric) = -8.1537961803029749563518596563285
absolute error = 9.4943566141607228724e-12
relative error = 1.1644093627315664246608707632023e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.888
Order of pole = 0.3246
x[1] = -0.776
y[1] (analytic) = -8.1523480413140252736697319527898
y[1] (numeric) = -8.1523480413041138447259346712293
absolute error = 9.9114289437972815605e-12
relative error = 1.2157759817869259165377031207139e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.888
Order of pole = 0.3246
x[1] = -0.775
y[1] (analytic) = -8.1509000030731927968380786988482
y[1] (numeric) = -8.1509000030628639390560791237854
absolute error = 1.03288577819995750628e-11
relative error = 1.2672045759493075719089101751506e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.888
Order of pole = 0.3246
memory used=11.4MB, alloc=4.1MB, time=1.10
x[1] = -0.774
y[1] (analytic) = -8.1494520655912244480770233253919
y[1] (numeric) = -8.1494520655804778049091540881842
absolute error = 1.07466431678692372077e-11
relative error = 1.3186951811452359744686193899510e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.888
Order of pole = 0.3246
x[1] = -0.773
y[1] (analytic) = -8.1480042288693738626846952639544
y[1] (numeric) = -8.1480042288582090775441513802203
absolute error = 1.11647851405438837341e-11
relative error = 1.3702478333265570419394186641509e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.888
Order of pole = 0.3246
x[1] = -0.772
y[1] (analytic) = -8.1465564929088957457688491215967
y[1] (numeric) = -8.1465564928973124620296519989192
absolute error = 1.15832837391971226775e-11
relative error = 1.4218625684704572276289853635503e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.887
Order of pole = 0.3246
x[1] = -0.771
y[1] (analytic) = -8.1451088577110458723644311238925
y[1] (numeric) = -8.1451088576990437333613925591264
absolute error = 1.20021390030385647661e-11
relative error = 1.4735394225794827387545855090151e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.887
Order of pole = 0.3246
x[1] = -0.77
y[1] (analytic) = -8.1436613232770810875512535800912
y[1] (numeric) = -8.1436613232646597365799397462648
absolute error = 1.24213509713138338264e-11
relative error = 1.5252784316815587714895941850357e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.887
Order of pole = 0.3245
x[1] = -0.769
y[1] (analytic) = -8.1422138896082593065717774016949
y[1] (numeric) = -8.1422138895954183868884728244937
absolute error = 1.28409196833045772012e-11
relative error = 1.5770796318300087631036936108701e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.887
Order of pole = 0.3245
x[1] = -0.768
y[1] (analytic) = -8.140766556705839514949002705713
y[1] (numeric) = -8.1407665566925786697706742295361
absolute error = 1.32608451783284761769e-11
relative error = 1.6289430591035736608318963471618e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.887
Order of pole = 0.3245
x[1] = -0.767
y[1] (analytic) = -8.1393193245710817686044675338923
y[1] (numeric) = -8.1393193245574006411087282774706
absolute error = 1.36811274957392564217e-11
relative error = 1.6808687496064312076844596070149e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.887
Order of pole = 0.3245
x[1] = -0.766
y[1] (analytic) = -8.1378721932052471939763547192526
y[1] (numeric) = -8.137872193191145427301428020818
absolute error = 1.41017666749266984346e-11
relative error = 1.7328567394682152452011522581102e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.887
Order of pole = 0.3245
x[1] = -0.765
y[1] (analytic) = -8.1364251626095979881377069312883
y[1] (numeric) = -8.1364251625950752253823902832831
absolute error = 1.45227627553166480052e-11
relative error = 1.7849070648440350331656251071711e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.886
Order of pole = 0.3245
x[1] = -0.764
y[1] (analytic) = -8.1349782327853974189147499312274
y[1] (numeric) = -8.1349782327704533031383789045446
absolute error = 1.49441157763710266828e-11
relative error = 1.8370197619144945861112621984480e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.886
Order of pole = 0.3245
memory used=15.2MB, alloc=4.2MB, time=1.50
x[1] = -0.763
y[1] (analytic) = -8.1335314037339098250053240687753
y[1] (numeric) = -8.1335314037185439992277362265176
absolute error = 1.53658257775878422577e-11
relative error = 1.8891948668857120269906149875929e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.886
Order of pole = 0.3245
x[1] = -0.762
y[1] (analytic) = -8.1320846754564006160974240517978
y[1] (numeric) = -8.1320846754406127232989228525452
absolute error = 1.57878927985011992526e-11
relative error = 1.9414324159893389577661960631252e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.886
Order of pole = 0.3245
x[1] = -0.761
y[1] (analytic) = -8.1306380479541362729878470204307
y[1] (numeric) = -8.1306380479379259561091657110069
absolute error = 1.62103168786813094238e-11
relative error = 1.9937324454825798469014427359527e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.886
Order of pole = 0.3245
x[1] = -0.76
y[1] (analytic) = -8.1291915212283843477009489571382
y[1] (numeric) = -8.1291915212117512496432144548644
absolute error = 1.66330980577345022738e-11
relative error = 2.0460949916482114339643499004893e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.886
Order of pole = 0.3244
x[1] = -0.759
y[1] (analytic) = -8.1277450952804134636075094642716
y[1] (numeric) = -8.1277450952633572272322062286963
absolute error = 1.70562363753032355753e-11
relative error = 2.0985200907946021513597112106415e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.886
Order of pole = 0.3244
x[1] = -0.758
y[1] (analytic) = -8.1262987701114933155437049407093
y[1] (numeric) = -8.1262987700940135836726388348056
absolute error = 1.74797318710661059037e-11
relative error = 2.1510077792557315628490578741326e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.886
Order of pole = 0.3244
x[1] = -0.757
y[1] (analytic) = -8.1248525457228946699301901891977
y[1] (numeric) = -8.1248525457049910853454523300157
absolute error = 1.79035845847378591820e-11
relative error = 2.2035580933912098193538307679317e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.885
Order of pole = 0.3244
x[1] = -0.756
y[1] (analytic) = -8.1234064221158893648912884860384
y[1] (numeric) = -8.1234064220975615703352190848023
absolute error = 1.83277945560694012361e-11
relative error = 2.2561710695862971318117247076997e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.885
Order of pole = 0.3244
x[1] = -0.755
y[1] (analytic) = -8.1219603992917503103742901448008
y[1] (numeric) = -8.121960399272997948549442336441
absolute error = 1.87523618248478083598e-11
relative error = 2.3088467442519232610158694382811e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.885
Order of pole = 0.3244
x[1] = -0.754
y[1] (analytic) = -8.1205144772517514882688596057734
y[1] (numeric) = -8.1205144772325742018379632678818
absolute error = 1.91772864308963378916e-11
relative error = 2.3615851538247070247112110729271e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.885
Order of pole = 0.3244
x[1] = -0.753
y[1] (analytic) = -8.1190686559971679525265510828952
y[1] (numeric) = -8.1190686559775653841124766440938
absolute error = 1.96025684140744388014e-11
relative error = 2.4143863347669758217301748612339e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.885
Order of pole = 0.3244
memory used=19.0MB, alloc=4.3MB, time=1.91
x[1] = -0.752
y[1] (analytic) = -8.1176229355292758292804327999439
y[1] (numeric) = -8.1176229355092476214661550376559
absolute error = 2.00282078142777622880e-11
relative error = 2.4672503235667851732943017787681e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.885
Order of pole = 0.3244
x[1] = -0.751
y[1] (analytic) = -8.1161773158493523169648198477885
y[1] (numeric) = -8.1161773158288981122933816754004
absolute error = 2.04542046714381723881e-11
relative error = 2.5201771567379382815840834269289e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.885
Order of pole = 0.3244
x[1] = -0.75
y[1] (analytic) = -8.1147317969586756864351156945438
y[1] (numeric) = -8.1147317969377951274095919379496
absolute error = 2.08805590255237565942e-11
relative error = 2.5731668708200056052726911904542e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.885
Order of pole = 0.3244
x[1] = -0.749
y[1] (analytic) = -8.1132863788585252810877623805011
y[1] (numeric) = -8.113286378837218010171223544016
absolute error = 2.13072709165388364851e-11
relative error = 2.6262195023783444524953595056446e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.884
Order of pole = 0.3244
x[1] = -0.748
y[1] (analytic) = -8.1118410615501815169802994297357
y[1] (numeric) = -8.1118410615284471765957754513699
absolute error = 2.17343403845239783658e-11
relative error = 2.6793350880041185908762407839522e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.884
Order of pole = 0.3243
x[1] = -0.747
y[1] (analytic) = -8.110395845034925882951531510329
y[1] (numeric) = -8.1103958450127641154819755064106
absolute error = 2.21617674695560039184e-11
relative error = 2.7325136643143178748258368971131e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.884
Order of pole = 0.3243
x[1] = -0.746
y[1] (analytic) = -8.1089507293140409407418048751717
y[1] (numeric) = -8.1089507292914513885300568743074
absolute error = 2.25895522117480008643e-11
relative error = 2.7857552679517778901620928763570e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.884
Order of pole = 0.3243
x[1] = -0.745
y[1] (analytic) = -8.1075057143888103251133926153483
y[1] (numeric) = -8.1075057143657926304621432817119
absolute error = 2.30176946512493336364e-11
relative error = 2.8390599355851996159109596948131e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.884
Order of pole = 0.3243
x[1] = -0.744
y[1] (analytic) = -8.1060608002605187439709887581334
y[1] (numeric) = -8.1060608002370725491427431040717
absolute error = 2.34461948282456540617e-11
relative error = 2.8924277039091691033517405019724e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.884
Order of pole = 0.3243
x[1] = -0.743
y[1] (analytic) = -8.1046159869304519784823112416672
y[1] (numeric) = -8.1046159869065769256993523296108
absolute error = 2.38750527829589120564e-11
relative error = 2.9458586096441771725823783836209e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.884
Order of pole = 0.3243
x[1] = -0.742
y[1] (analytic) = -8.103171274399896883198813798401
y[1] (numeric) = -8.1031712743755926146431664320723
absolute error = 2.43042685556473663287e-11
relative error = 2.9993526895366391260287112374140e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.884
Order of pole = 0.3243
memory used=22.8MB, alloc=4.3MB, time=2.32
x[1] = -0.741
y[1] (analytic) = -8.1017266626701413861765067794471
y[1] (numeric) = -8.1017266626454075439899011843512
absolute error = 2.47338421866055950959e-11
relative error = 3.0529099803589144797279986245634e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.883
Order of pole = 0.3243
x[1] = -0.74
y[1] (analytic) = -8.100282151742474489096886951988
y[1] (numeric) = -8.1002821517173107153807224451791
absolute error = 2.51637737161645068089e-11
relative error = 3.1065305189093267115515950055789e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.883
Order of pole = 0.3243
x[1] = -0.739
y[1] (analytic) = -8.0988377416181862673879763019422
y[1] (numeric) = -8.098837741592592204203284951052
absolute error = 2.55940631846913508902e-11
relative error = 3.1602143420121830271356141535736e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.883
Order of pole = 0.3243
x[1] = -0.738
y[1] (analytic) = -8.0973934322985678703454698741072
y[1] (numeric) = -8.097393432272543159712880145627
absolute error = 2.60247106325897284802e-11
relative error = 3.2139614865177941428940094528341e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.883
Order of pole = 0.3243
x[1] = -0.737
y[1] (analytic) = -8.0959492237849115212539926820414
y[1] (numeric) = -8.0959492237584558051536930788448
absolute error = 2.64557161002996031966e-11
relative error = 3.2677719893024940867227810014927e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.883
Order of pole = 0.3243
x[1] = -0.736
y[1] (analytic) = -8.0945051160785105175084657199696
y[1] (numeric) = -8.0945051160516234378801684080674
absolute error = 2.68870796282973119022e-11
relative error = 3.3216458872686600158312471090303e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.883
Order of pole = 0.3243
x[1] = -0.735
y[1] (analytic) = -8.0930611091806592307355811090386
y[1] (numeric) = -8.0930611091533404294784855335525
absolute error = 2.73188012570955754861e-11
relative error = 3.3755832173447320523340636023613e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.883
Order of pole = 0.3242
x[1] = -0.734
y[1] (analytic) = -8.0916172030926531069153864102717
y[1] (numeric) = -8.0916172030649022258881429006189
absolute error = 2.77508810272435096528e-11
relative error = 3.4295840164852331359409332830800e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.882
Order of pole = 0.3242
x[1] = -0.733
y[1] (analytic) = -8.090173397815788666502978136613
y[1] (numeric) = -8.0901733977876053475236515008886
absolute error = 2.81833189793266357244e-11
relative error = 3.4836483216707888944025867206291e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.882
Order of pole = 0.3242
x[1] = -0.732
y[1] (analytic) = -8.0887296933513635045503044964766
y[1] (numeric) = -8.0887296933227473893963376050247
absolute error = 2.86161151539668914519e-11
relative error = 3.5377761699081475312351644671838e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.882
Order of pole = 0.3242
x[1] = -0.731
y[1] (analytic) = -8.0872860897006762908280774012551
y[1] (numeric) = -8.0872860896716270212362547594157
absolute error = 2.90492695918226418394e-11
relative error = 3.5919675982301997312089185190988e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.882
Order of pole = 0.3242
memory used=26.7MB, alloc=4.3MB, time=2.73
x[1] = -0.73
y[1] (analytic) = -8.0858425868650267699477937692659
y[1] (numeric) = -8.0858425868355439876142050792897
absolute error = 2.94827823335886899762e-11
relative error = 3.6462226436959985829995163628910e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.882
Order of pole = 0.3242
x[1] = -0.729
y[1] (analytic) = -8.0843991848457157614838661586555
y[1] (numeric) = -8.0843991848157991080638698707737
absolute error = 2.99166534199962878818e-11
relative error = 3.7005413433907795196363151101663e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.882
Order of pole = 0.3242
x[1] = -0.728
y[1] (analytic) = -8.082955883644045160095862761808
y[1] (numeric) = -8.0829558836136942772040496144465
absolute error = 3.03508828918131473615e-11
relative error = 3.7549237344259802764797379836345e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.882
Order of pole = 0.3242
x[1] = -0.727
y[1] (analytic) = -8.0815126832613179356508567938377
y[1] (numeric) = -8.0815126832305324648610133429652
absolute error = 3.07854707898434508725e-11
relative error = 3.8093698539392608667317222949661e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.882
Order of pole = 0.3242
x[1] = -0.726
y[1] (analytic) = -8.0800695836988381333458853077786
y[1] (numeric) = -8.0800695836676177161909574453788
absolute error = 3.12204171549278623998e-11
relative error = 3.8638797390945235744089503346495e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.881
Order of pole = 0.3242
x[1] = -0.725
y[1] (analytic) = -8.0786265849579108738305174691183
y[1] (numeric) = -8.0786265849262551518025739307735
absolute error = 3.16557220279435383448e-11
relative error = 3.9184534270819329651540878458436e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.881
Order of pole = 0.3242
x[1] = -0.724
y[1] (analytic) = -8.0771836870398423533295323223509
y[1] (numeric) = -8.0771836870077509678797281839276
absolute error = 3.20913854498041384233e-11
relative error = 3.9730909551179359144931901251328e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.881
Order of pole = 0.3242
x[1] = -0.723
y[1] (analytic) = -8.0757408899459398437657060822622
y[1] (numeric) = -8.0757408899134124363042462456868
absolute error = 3.25274074614598365754e-11
relative error = 4.0277923604452816538650693890248e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.881
Order of pole = 0.3242
x[1] = -0.722
y[1] (analytic) = -8.0742981936775116928827089826867
y[1] (numeric) = -8.0742981936445479047788116508018
absolute error = 3.29637881038973318849e-11
relative error = 4.0825576803330418341420122687160e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.881
Order of pole = 0.3242
x[1] = -0.721
y[1] (analytic) = -8.072855598235867324368111715515
y[1] (numeric) = -8.0728555982024667969499718560043
absolute error = 3.34005274181398595107e-11
relative error = 4.1373869520766306069678007743698e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.881
Order of pole = 0.3242
x[1] = -0.72
y[1] (analytic) = -8.071413103622317237976501492757
y[1] (numeric) = -8.0714131035884796125312542911284
absolute error = 3.38376254452472016286e-11
relative error = 4.1922802129978247237314839174413e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.881
Order of pole = 0.3241
x[1] = -0.719
memory used=30.5MB, alloc=4.3MB, time=3.15
y[1] (analytic) = -8.0699707098381730096527077645019
y[1] (numeric) = -8.069970709803897927426392066118
absolute error = 3.42750822263156983839e-11
relative error = 4.2472375004447836522429132342990e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.881
Order of pole = 0.3241
x[1] = -0.718
y[1] (analytic) = -8.0685284168847472916551376256489
y[1] (numeric) = -8.0685284168500343938526593667934
absolute error = 3.47128978024782588555e-11
relative error = 4.3022588517920697112133246998570e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.88
Order of pole = 0.3241
x[1] = -0.717
y[1] (analytic) = -8.0670862247633538126792209443114
y[1] (numeric) = -8.0670862247282027404643165722822
absolute error = 3.51510722149043720292e-11
relative error = 4.3573443044406682222725090674014e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.88
Order of pole = 0.3241
x[1] = -0.716
y[1] (analytic) = -8.065644133475307377980965244837
y[1] (numeric) = -8.0656441334397177724761651270529
absolute error = 3.55896055048001177841e-11
relative error = 4.4124938958180076800224144411046e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.88
Order of pole = 0.3241
x[1] = -0.715
y[1] (analytic) = -8.064202143021923869500620378409
y[1] (numeric) = -8.064202142985895371787212200521
absolute error = 3.60284977134081778880e-11
relative error = 4.4677076633779799396356946665465e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.88
Order of pole = 0.3241
x[1] = -0.714
y[1] (analytic) = -8.0627602534045202459864530142376
y[1] (numeric) = -8.0627602533680524971044451672326
absolute error = 3.64677488820078470050e-11
relative error = 4.5229856446009604224124042970251e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.88
Order of pole = 0.3241
x[1] = -0.713
y[1] (analytic) = -8.0613184646244145431186309843726
y[1] (numeric) = -8.0613184645875071840667159406594
absolute error = 3.69073590519150437132e-11
relative error = 4.5783278769938283390511647848754e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.88
Order of pole = 0.3241
x[1] = -0.712
y[1] (analytic) = -8.0598767766829258736332175152087
y[1] (numeric) = -8.0598767766455785453687351936758
absolute error = 3.73473282644823215329e-11
relative error = 4.6337343980899869307009495105334e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.88
Order of pole = 0.3241
x[1] = -0.711
y[1] (analytic) = -8.0584351895813744274462753787852
y[1] (numeric) = -8.0584351895435867708851764988175
absolute error = 3.77876565610988799677e-11
relative error = 4.6892052454493837281079103719343e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.879
Order of pole = 0.3241
x[1] = -0.71
y[1] (analytic) = -8.0569937033210814717780809970113
y[1] (numeric) = -8.0569937032828531277948904214573
absolute error = 3.82283439831905755540e-11
relative error = 4.7447404566585308283157131309314e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.879
Order of pole = 0.3241
x[1] = -0.709
y[1] (analytic) = -8.0555523179033693512774485319868
y[1] (numeric) = -8.0555523178646999607052285990639
absolute error = 3.86693905722199329229e-11
relative error = 4.8003400693305251894322395411066e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.879
Order of pole = 0.3241
x[1] = -0.708
y[1] (analytic) = -8.0541110333295614881461639956159
y[1] (numeric) = -8.0541110332904506917764778397434
absolute error = 3.91107963696861558725e-11
relative error = 4.8560041211050689432312806693409e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=34.3MB, alloc=4.4MB, time=3.58
Complex estimate of poles used
Radius of convergence = 9.879
Order of pole = 0.3241
x[1] = -0.707
y[1] (analytic) = -8.0526698496009823822635294117474
y[1] (numeric) = -8.0526698495614298208464042732957
absolute error = 3.95525614171251384517e-11
relative error = 4.9117326496484897257424732111476e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.879
Order of pole = 0.3241
x[1] = -0.706
y[1] (analytic) = -8.0512287667189576113110170641053
y[1] (numeric) = -8.0512287666789629255549075880512
absolute error = 3.99946857561094760541e-11
relative error = 4.9675256926537610256724316838299e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.879
Order of pole = 0.3241
x[1] = -0.705
y[1] (analytic) = -8.0497877846848138308970338633085
y[1] (numeric) = -8.0497877846443766614687853867852
absolute error = 4.04371694282484765233e-11
relative error = 5.0233832878405225508352102422568e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.879
Order of pole = 0.3241
x[1] = -0.704
y[1] (analytic) = -8.0483469034998787746817958663099
y[1] (numeric) = -8.0483469034589987622066076950409
absolute error = 4.08800124751881712690e-11
relative error = 5.0793054729551006125344029139661e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.879
Order of pole = 0.3241
x[1] = -0.703
y[1] (analytic) = -8.0469061231654812545023129816191
y[1] (numeric) = -8.0469061231241580395637016552242
absolute error = 4.13232149386113263949e-11
relative error = 5.1352922857705285280379357798787e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.878
Order of pole = 0.3241
x[1] = -0.702
y[1] (analytic) = -8.0454654436829511604974838937025
y[1] (numeric) = -8.0454654436411843836372464398672
absolute error = 4.17667768602374538353e-11
relative error = 5.1913437640865670407771960633077e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.878
Order of pole = 0.324
x[1] = -0.701
y[1] (analytic) = -8.0440248650536194612333012399945
y[1] (numeric) = -8.0440248650114087629514784174887
absolute error = 4.22106982818228225058e-11
relative error = 5.2474599457297247589582934481128e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.878
Order of pole = 0.324
x[1] = -0.7
y[1] (analytic) = -8.0425843872788182038281670739766
y[1] (numeric) = -8.0425843872361632245830066045148
absolute error = 4.26549792451604694618e-11
relative error = 5.3036408685532786118194714701178e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.878
Order of pole = 0.324
x[1] = -0.699
y[1] (analytic) = -8.0411440103598805140783186478242
y[1] (numeric) = -8.0411440103167808942862384367537
absolute error = 4.30996197920802110705e-11
relative error = 5.3598865704372943242599071727268e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.878
Order of pole = 0.324
x[1] = -0.698
y[1] (analytic) = -8.0397037342981405965833645481458
y[1] (numeric) = -8.0397037342545959766189158939528
absolute error = 4.35446199644486541930e-11
relative error = 5.4161970892886469094342873986712e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.878
Order of pole = 0.324
x[1] = -0.697
y[1] (analytic) = -8.0382635590949337348719312183754
y[1] (numeric) = -8.0382635590509437550677620109995
absolute error = 4.39899798041692073759e-11
relative error = 5.4725724630410411792552957008931e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=38.1MB, alloc=4.4MB, time=3.99
Complex estimate of poles used
Radius of convergence = 9.878
Order of pole = 0.324
x[1] = -0.696
y[1] (analytic) = -8.0368234847515962915274199014154
y[1] (numeric) = -8.036823484707160592174237809359
absolute error = 4.44356993531820920564e-11
relative error = 5.5290127296550322733184195295796e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.878
Order of pole = 0.324
x[1] = -0.695
y[1] (analytic) = -8.0353835112694657083138740361525
y[1] (numeric) = -8.0353835112245839296604096823753
absolute error = 4.48817786534643537772e-11
relative error = 5.5855179271180462058059563628697e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.877
Order of pole = 0.324
x[1] = -0.694
y[1] (analytic) = -8.0339436386498805063019571415082
y[1] (numeric) = -8.0339436386045522885549272680965
absolute error = 4.53282177470298734117e-11
relative error = 5.6420880934444004304492369868626e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.877
Order of pole = 0.324
x[1] = -0.693
y[1] (analytic) = -8.0325038668941802859950412217177
y[1] (numeric) = -8.032503866848405269319111843316
absolute error = 4.57750166759293784017e-11
relative error = 5.6987232666753244238398307224319e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.877
Order of pole = 0.324
x[1] = -0.692
y[1] (analytic) = -8.0310641960037057274554057265604
y[1] (numeric) = -8.031064195957483551973155272556
absolute error = 4.62221754822504540044e-11
relative error = 5.7554234848789802867085184307279e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.877
Order of pole = 0.324
x[1] = -0.691
y[1] (analytic) = -8.0296246259797985904305471003041
y[1] (numeric) = -8.0296246259331288962224295457517
absolute error = 4.66696942081175545524e-11
relative error = 5.8121887861504833636495832884816e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.877
Order of pole = 0.324
x[1] = -0.69
y[1] (analytic) = -8.028185156823801714479598953152
y[1] (numeric) = -8.0281851567766841415839069384285
absolute error = 4.71175728956920147235e-11
relative error = 5.8690192086119228809091755458501e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.877
Order of pole = 0.324
x[1] = -0.689
y[1] (analytic) = -8.0267457885370590190998628890171
y[1] (numeric) = -8.0267457884894932075126908281969
absolute error = 4.75658115871720608202e-11
relative error = 5.9259147904123826022421623779407e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.877
Order of pole = 0.324
x[1] = -0.688
y[1] (analytic) = -8.0253065211209155038534500234878
y[1] (numeric) = -8.0253065210729010935286572014234
absolute error = 4.80144103247928220644e-11
relative error = 5.9828755697279615035396660665599e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.876
Order of pole = 0.324
x[1] = -0.687
y[1] (analytic) = -8.0238673545767172484940332258664
y[1] (numeric) = -8.0238673545282538793432068839683
absolute error = 4.84633691508263418981e-11
relative error = 6.0399015847617944650984601878192e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.876
Order of pole = 0.324
x[1] = -0.686
y[1] (analytic) = -8.0224282889058114130937101192134
y[1] (numeric) = -8.0224282888568987249861285299149
absolute error = 4.89126881075815892985e-11
relative error = 6.0969928737440729825956159076380e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=41.9MB, alloc=4.4MB, time=4.41
Complex estimate of poles used
Radius of convergence = 9.876
Order of pole = 0.324
x[1] = -0.685
y[1] (analytic) = -8.0209893241095462381699768723511
y[1] (numeric) = -8.0209893240601838709325724022478
absolute error = 4.93623672374044701033e-11
relative error = 6.1541494749320658962624314042493e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.876
Order of pole = 0.324
x[1] = -0.684
y[1] (analytic) = -8.0195504601892710448128128178174
y[1] (numeric) = -8.0195504601394586382301349794702
absolute error = 4.98124065826778383472e-11
relative error = 6.2113714266101401383993594926823e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.876
Order of pole = 0.324
x[1] = -0.683
y[1] (analytic) = -8.0181116971463362348118759297934
y[1] (numeric) = -8.0181116970960734286260544221852
absolute error = 5.02628061858215076082e-11
relative error = 6.2686587670897814990745226918799e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.876
Order of pole = 0.324
x[1] = -0.682
y[1] (analytic) = -8.0166730349820932907838091960641
y[1] (numeric) = -8.0166730349313797246945169336972
absolute error = 5.07135660892922623669e-11
relative error = 6.3260115347096154104219761286613e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.876
Order of pole = 0.324
x[1] = -0.681
y[1] (analytic) = -8.0152344736978947762996579180995
y[1] (numeric) = -8.0152344736467300899640740487238
absolute error = 5.11646863355838693757e-11
relative error = 6.3834297678354277491704660792104e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.876
Order of pole = 0.324
x[1] = -0.68
y[1] (analytic) = -8.0137960132950943360123979733814
y[1] (numeric) = -8.0137960132434781690451708843424
absolute error = 5.16161669672270890390e-11
relative error = 6.4409135048601856575569908340717e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.875
Order of pole = 0.324
x[1] = -0.679
y[1] (analytic) = -8.0123576537750466957845750741329
y[1] (numeric) = -8.0123576537229786877577853873272
absolute error = 5.20680080267896868057e-11
relative error = 6.4984627842040583828046466792130e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.875
Order of pole = 0.324
x[1] = -0.678
y[1] (analytic) = -8.010919395139107662816055056639
y[1] (numeric) = -8.010919395086587453259178612068
absolute error = 5.25202095568764445710e-11
relative error = 6.5560776443144381348077252255092e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.875
Order of pole = 0.324
x[1] = -0.677
y[1] (analytic) = -8.0094812373886341257718852353837
y[1] (numeric) = -8.0094812373356613541717560632929
absolute error = 5.29727716001291720908e-11
relative error = 6.6137581236659609624530761882870e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.875
Order of pole = 0.324
x[1] = -0.676
y[1] (analytic) = -8.0080431805249840549102668562586
y[1] (numeric) = -8.0080431804715583607110401378521
absolute error = 5.34256941992267184065e-11
relative error = 6.6715042607605276483205496229664e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.875
Order of pole = 0.324
x[1] = -0.675
y[1] (analytic) = -8.0066052245495165022106386831342
y[1] (numeric) = -8.0066052244956375248137536998533
absolute error = 5.38789773968849832809e-11
relative error = 6.7293160941273246218671559609184e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=45.7MB, alloc=4.4MB, time=4.82
Complex estimate of poles used
Radius of convergence = 9.875
Order of pole = 0.324
x[1] = -0.674
y[1] (analytic) = -8.0051673694635916015018717521174
y[1] (numeric) = -8.0051673694092589802660148234714
absolute error = 5.43326212358569286460e-11
relative error = 6.7871936623228448912122174747173e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.875
Order of pole = 0.324
x[1] = -0.673
y[1] (analytic) = -8.0037296152685705685905753278497
y[1] (numeric) = -8.0037296152137839428316427377893
absolute error = 5.47866257589325900604e-11
relative error = 6.8451370039309089932536268603888e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.874
Order of pole = 0.3239
x[1] = -0.672
y[1] (analytic) = -8.0022919619658157013895140962397
y[1] (numeric) = -8.0022919619105747103805750080604
absolute error = 5.52409910089390881793e-11
relative error = 6.9031461575626859625072439004584e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.874
Order of pole = 0.3239
x[1] = -0.671
y[1] (analytic) = -8.0008544095566903800461366280516
y[1] (numeric) = -8.0008544095009946630173959878161
absolute error = 5.56957170287406402355e-11
relative error = 6.9612211618567143184870790877755e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.874
Order of pole = 0.3239
x[1] = -0.67
y[1] (analytic) = -7.9994169580425590670712151478051
y[1] (numeric) = -7.999416957986408263209976576275
absolute error = 5.61508038612385715301e-11
relative error = 7.0193620554789230714811465500352e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.874
Order of pole = 0.3239
x[1] = -0.669
y[1] (analytic) = -7.9979796074247873074675966424811
y[1] (numeric) = -7.9979796073681810559182253155449
absolute error = 5.66062515493713269362e-11
relative error = 7.0775688771226527471527981587875e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.874
Order of pole = 0.3239
x[1] = -0.668
y[1] (analytic) = -7.9965423577047417288590653445534
y[1] (numeric) = -7.9965423576476796687229508621407
absolute error = 5.70620601361144824127e-11
relative error = 7.1358416655086764296226265953031e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.874
Order of pole = 0.3239
x[1] = -0.667
y[1] (analytic) = -7.9951052088837900416193166239057
y[1] (numeric) = -7.9951052088262718119548358673763
absolute error = 5.75182296644807565294e-11
relative error = 7.1941804593852208231983357410244e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.874
Order of pole = 0.3239
x[1] = -0.666
y[1] (analytic) = -7.9936681609633010390010423232248
y[1] (numeric) = -7.993668160905326278823522301221
absolute error = 5.79747601775200220038e-11
relative error = 7.2525852975279873328201312440546e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.873
Order of pole = 0.3239
x[1] = -0.665
y[1] (analytic) = -7.9922312139446445972651275714927
y[1] (numeric) = -7.9922312138862129455468082542446
absolute error = 5.84316517183193172481e-11
relative error = 7.3110562187401731630515433005351e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.873
Order of pole = 0.3239
x[1] = -0.664
y[1] (analytic) = -7.9907943678291916758099591102384
y[1] (numeric) = -7.9907943677703027714799562523101
absolute error = 5.88889043300028579283e-11
relative error = 7.3695932618524924358708314878836e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=49.5MB, alloc=4.4MB, time=5.24
Complex estimate of poles used
Radius of convergence = 9.873
Order of pole = 0.3239
x[1] = -0.663
y[1] (analytic) = -7.989357622618314317300845167238
y[1] (numeric) = -7.989357622558967799245113118704
absolute error = 5.93465180557320485340e-11
relative error = 7.4281964657231973271054319973496e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.873
Order of pole = 0.3239
x[1] = -0.662
y[1] (analytic) = -7.9879209783133856477995469123907
y[1] (numeric) = -7.9879209782535811548608414184307
absolute error = 5.98044929387054939600e-11
relative error = 7.4868658692380992216646463160762e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.873
Order of pole = 0.3239
x[1] = -0.661
y[1] (analytic) = -7.9864844349157798768939215305263
y[1] (numeric) = -7.986484434855517047871762519429
absolute error = 6.02628290221590110973e-11
relative error = 7.5456015113105898872877462298702e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.873
Order of pole = 0.3239
x[1] = -0.66
y[1] (analytic) = -7.9850479924268722978276769459414
y[1] (numeric) = -7.9850479923661507714783113055029
absolute error = 6.07215263493656404385e-11
relative error = 7.6044034308816626674509878781186e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.873
Order of pole = 0.3239
x[1] = -0.659
y[1] (analytic) = -7.9836116508480392876302382334839
y[1] (numeric) = -7.983611650786858702666602575793
absolute error = 6.11805849636356576909e-11
relative error = 7.6632716669199336926124445378255e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.873
Order of pole = 0.3239
x[1] = -0.658
y[1] (analytic) = -7.9821754101806583072467257510515
y[1] (numeric) = -7.9821754101190183023384091656477
absolute error = 6.16400049083165854038e-11
relative error = 7.7222062584216631106260631162234e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.872
Order of pole = 0.3239
x[1] = -0.657
y[1] (analytic) = -7.9807392704261079016680450283926
y[1] (numeric) = -7.9807392703640081154412518237881
absolute error = 6.20997862267932046045e-11
relative error = 7.7812072444107763356539191010701e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.872
Order of pole = 0.3239
x[1] = -0.656
y[1] (analytic) = -7.9793032315857677000610884471405
y[1] (numeric) = -7.9793032315232077710986008806924
absolute error = 6.25599289624875664481e-11
relative error = 7.8402746639388853162331080739162e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.872
Order of pole = 0.3239
x[1] = -0.655
y[1] (analytic) = -7.9778672936610184158990487470376
y[1] (numeric) = -7.977867293597997982740189743162
absolute error = 6.30204331588590038756e-11
relative error = 7.8994085560853098218259741278083e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.872
Order of pole = 0.3239
x[1] = -0.654
y[1] (analytic) = -7.9764314566532418470918443933481
y[1] (numeric) = -7.9764314565897605482324402500619
absolute error = 6.34812988594041432862e-11
relative error = 7.9586089599570987486106120386969e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.872
Order of pole = 0.3239
x[1] = -0.653
y[1] (analytic) = -7.9749957205638208761166568404837
y[1] (numeric) = -7.9749957204998783500089999242652
absolute error = 6.39425261076569162185e-11
relative error = 8.0178759146890514438652736575654e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=53.4MB, alloc=4.4MB, time=5.67
Complex estimate of poles used
Radius of convergence = 9.872
Order of pole = 0.3239
x[1] = -0.652
y[1] (analytic) = -7.9735600853941394701485797269072
y[1] (numeric) = -7.9735600853297353552013911558624
absolute error = 6.44041149471885710448e-11
relative error = 8.0772094594437390494908082981554e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.872
Order of pole = 0.3239
x[1] = -0.651
y[1] (analytic) = -7.9721245511455826811913800364066
y[1] (numeric) = -7.972124551080716615769772351732
absolute error = 6.48660654216076846746e-11
relative error = 8.1366096334115258642000032947704e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.871
Order of pole = 0.3239
x[1] = -0.65
y[1] (analytic) = -7.970689117819536646208371260873
y[1] (numeric) = -7.9706891177542082686338110866008
absolute error = 6.53283775745601742722e-11
relative error = 8.1960764758105907250060498823585e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.871
Order of pole = 0.3239
x[1] = -0.649
y[1] (analytic) = -7.9692537854173885872533985997413
y[1] (numeric) = -7.9692537853515975358036692907586
absolute error = 6.57910514497293089827e-11
relative error = 8.2556100258869484073131513607531e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.871
Order of pole = 0.3239
x[1] = -0.648
y[1] (analytic) = -7.9678185539405268116019362312938
y[1] (numeric) = -7.9678185538742727245111005096234
absolute error = 6.62540870908357216704e-11
relative error = 8.3152103229144710441286759506512e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.871
Order of pole = 0.3239
x[1] = -0.647
y[1] (analytic) = -7.9663834233903407118822966910583
y[1] (numeric) = -7.9663834233236232273406592703884
absolute error = 6.67174845416374206699e-11
relative error = 8.3748774061949095644525465081329e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.871
Order of pole = 0.3239
x[1] = -0.646
y[1] (analytic) = -7.9649483937682207662069523925616
y[1] (numeric) = -7.9649483937010395223610225910156
absolute error = 6.71812438459298015460e-11
relative error = 8.4346113150579151503723218281547e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.871
Order of pole = 0.3239
x[1] = -0.645
y[1] (analytic) = -7.9635134650755585383039693257418
y[1] (numeric) = -7.9635134650079131732564236668752
absolute error = 6.76453650475456588666e-11
relative error = 8.4944120888610607134088761727411e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.871
Order of pole = 0.3239
x[1] = -0.644
y[1] (analytic) = -7.9620786373137466776485529683488
y[1] (numeric) = -7.9620786372456368294581977703627
absolute error = 6.81098481903551979861e-11
relative error = 8.5542797669898623898168732501983e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.871
Order of pole = 0.3239
x[1] = -0.643
y[1] (analytic) = -7.9606439104841789195947064457022
y[1] (numeric) = -7.9606439104156042262764403988612
absolute error = 6.85746933182660468410e-11
relative error = 8.6142143888578010550713925123582e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.87
Order of pole = 0.3239
x[1] = -0.642
y[1] (analytic) = -7.9592092845882500855070009742049
y[1] (numeric) = -7.9592092845192101850317777064488
absolute error = 6.90399004752232677561e-11
relative error = 8.6742159939063438573577779267873e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.87
Order of pole = 0.3239
memory used=57.2MB, alloc=4.4MB, time=6.10
x[1] = -0.641
y[1] (analytic) = -7.9577747596273560828924586240475
y[1] (numeric) = -7.9577747595578506131872492547858
absolute error = 6.95054697052093692617e-11
relative error = 8.7342846216049657701328347545993e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.87
Order of pole = 0.3239
x[1] = -0.64
y[1] (analytic) = -7.956340335602893905532547436574
y[1] (numeric) = -7.9563403355329225044803031186507
absolute error = 6.99714010522443179233e-11
relative error = 8.7944203114511711639638453458787e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.87
Order of pole = 0.3239
x[1] = -0.639
y[1] (analytic) = -7.9549060125162616336152889318084
y[1] (numeric) = -7.9549060124458239390549033816269
absolute error = 7.04376945603855501815e-11
relative error = 8.8546231029705153973744728361358e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.87
Order of pole = 0.3239
x[1] = -0.638
y[1] (analytic) = -7.9534717903688584338674780416814
y[1] (numeric) = -7.9534717902979540835937500574774
absolute error = 7.09043502737279842040e-11
relative error = 8.9148930357166264269542946592490e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.87
Order of pole = 0.3239
x[1] = -0.637
y[1] (analytic) = -7.9520376691620845596870155045252
y[1] (numeric) = -7.952037669090713191450611472777
absolute error = 7.13713682364040317482e-11
relative error = 8.9752301492712264365615075436345e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.87
Order of pole = 0.3239
x[1] = -0.636
y[1] (analytic) = -7.9506036488973413512753527564447
y[1] (numeric) = -7.9506036488255026027827691464084
absolute error = 7.18387484925836100363e-11
relative error = 9.0356344832441534858757327890061e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.869
Order of pole = 0.3239
x[1] = -0.635
y[1] (analytic) = -7.9491697295760312357700493551999
y[1] (numeric) = -7.9491697295037247446835752015591
absolute error = 7.23064910864741536408e-11
relative error = 9.0961060772733831780550168493808e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.869
Order of pole = 0.3239
x[1] = -0.634
y[1] (analytic) = -7.9477359111995577273774429722751
y[1] (numeric) = -7.9477359111267831313151223458939
absolute error = 7.27745960623206263812e-11
relative error = 9.1566449710250503466156437062869e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.869
Order of pole = 0.3239
x[1] = -0.633
y[1] (analytic) = -7.9463021937693254275054319888416
y[1] (numeric) = -7.9463021936960823640410264556081
absolute error = 7.32430634644055332335e-11
relative error = 9.2172512041934707617542151417414e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.869
Order of pole = 0.3239
x[1] = -0.632
y[1] (analytic) = -7.9448685772867400248963707313536
y[1] (numeric) = -7.9448685772130281315593217991044
absolute error = 7.37118933370489322492e-11
relative error = 9.2779248165011628557150141406944e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.869
Order of pole = 0.3239
x[1] = -0.631
y[1] (analytic) = -7.9434350617532082957600773825549
y[1] (numeric) = -7.9434350616790272100354689360675
absolute error = 7.41810857246084464874e-11
relative error = 9.3386658476988694676737278812824e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.869
Order of pole = 0.3239
x[1] = -0.63
y[1] (analytic) = -7.9420016471701381039069546037032
y[1] (numeric) = -7.9420016470954874632354753277466
absolute error = 7.46506406714792759566e-11
relative error = 9.3994743375655796077278897251028e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=61.0MB, alloc=4.4MB, time=6.52
Complex estimate of poles used
Radius of convergence = 9.869
Order of pole = 0.3239
x[1] = -0.629
y[1] (analytic) = -7.9405683335389384008812229038593
y[1] (numeric) = -7.9405683334638178426591286942894
absolute error = 7.51205582220942095699e-11
relative error = 9.4603503259085502404779431297860e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.868
Order of pole = 0.3239
x[1] = -0.628
y[1] (analytic) = -7.9391351208610192260942667921152
y[1] (numeric) = -7.9391351207854283876733431550054
absolute error = 7.55908384209236371098e-11
relative error = 9.5212938525633280877388346182529e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.868
Order of pole = 0.3239
x[1] = -0.627
y[1] (analytic) = -7.9377020091377917069580937486763
y[1] (numeric) = -7.9377020090617302256456181874709
absolute error = 7.60614813124755612054e-11
relative error = 9.5823049573937714507528457711895e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.868
Order of pole = 0.3239
x[1] = -0.626
y[1] (analytic) = -7.9362689983706680590189060507429
y[1] (numeric) = -7.9362689982941355720776104414222
absolute error = 7.65324869412956093207e-11
relative error = 9.6433836802920720517582867846100e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.868
Order of pole = 0.3239
x[1] = -0.625
y[1] (analytic) = -7.9348360885610615860907854891717
y[1] (numeric) = -7.9348360884840577307388184434174
absolute error = 7.70038553519670457543e-11
relative error = 9.7045300611787768949700990845449e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.868
Order of pole = 0.3239
x[1] = -0.624
y[1] (analytic) = -7.9334032797103866803894910119334
y[1] (numeric) = -7.9334032796329110938003802282821
absolute error = 7.74755865891107836513e-11
relative error = 9.7657441400028101470915126715525e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.868
Order of pole = 0.3239
x[1] = -0.623
y[1] (analytic) = -7.9319705718200588226663693304136
y[1] (numeric) = -7.9319705717421111419689839333887
absolute error = 7.79476806973853970249e-11
relative error = 9.8270259567414950370600307052802e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.868
Order of pole = 0.3239
x[1] = -0.622
y[1] (analytic) = -7.9305379648914945823423785246436
y[1] (numeric) = -7.930537964813074444620891391852
absolute error = 7.84201377214871327916e-11
relative error = 9.8883755514005757755375845461393e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.867
Order of pole = 0.3239
x[1] = -0.621
y[1] (analytic) = -7.9291054589261116176422246835762
y[1] (numeric) = -7.9291054588472186599360747607603
absolute error = 7.88929577061499228159e-11
relative error = 9.9497929640142394936464908868603e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.867
Order of pole = 0.3239
x[1] = -0.62
y[1] (analytic) = -7.9276730539253286757286116165623
y[1] (numeric) = -7.9276730538459625350324662205941
absolute error = 7.93661406961453959682e-11
relative error = 1.0011278234645138201436009895762e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.867
Order of pole = 0.3239
x[1] = -0.619
y[1] (analytic) = -7.9262407498905655928366036722112
y[1] (numeric) = -7.9262407498107259061003207820183
absolute error = 7.98396867362828901929e-11
relative error = 1.0072831403384410765719703182992e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=64.8MB, alloc=4.4MB, time=6.95
Complex estimate of poles used
Radius of convergence = 9.867
Order of pole = 0.3239
x[1] = -0.618
y[1] (analytic) = -7.9248085468232432944081017008589
y[1] (numeric) = -7.9248085467429296985366922362708
absolute error = 8.03135958714094645881e-11
relative error = 1.0134452510351704907478481063952e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.867
Order of pole = 0.3239
x[1] = -0.617
y[1] (analytic) = -7.9233764447247837952264321968996
y[1] (numeric) = -7.923376444643995927080022285402
absolute error = 8.07878681464099114976e-11
relative error = 1.0196141595695199218936156746537e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.867
Order of pole = 0.324
x[1] = -0.616
y[1] (analytic) = -7.9219444435966101995510496572694
y[1] (numeric) = -7.9219444435153476959448428886557
absolute error = 8.12625036062067686137e-11
relative error = 1.0257898699591625200136762396618e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.867
Order of pole = 0.324
x[1] = -0.615
y[1] (analytic) = -7.9205125434401467012523521924078
y[1] (numeric) = -7.920512543358409198956591861316
absolute error = 8.17375022957603310918e-11
relative error = 1.0319723862246289315168263646389e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.867
Order of pole = 0.324
x[1] = -0.614
y[1] (analytic) = -7.9190807442568185839466104260557
y[1] (numeric) = -7.9190807441746057196865417623795
absolute error = 8.22128642600686636762e-11
relative error = 1.0381617123893095067975467137422e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.866
Order of pole = 0.324
x[1] = -0.613
y[1] (analytic) = -7.917649046048052221131009720284
y[1] (numeric) = -7.9176490459653636315868421074464
absolute error = 8.26885895441676128376e-11
relative error = 1.0443578524794565097843755485525e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.866
Order of pole = 0.324
x[1] = -0.612
y[1] (analytic) = -7.9162174488152750763188057621804
y[1] (numeric) = -7.9162174487321103981256749432583
absolute error = 8.31646781931308189221e-11
relative error = 1.0505608105241863294546968526501e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.866
Order of pole = 0.324
x[1] = -0.611
y[1] (analytic) = -7.9147859525599157031745935486575
y[1] (numeric) = -7.914785952476274572922523820346
absolute error = 8.36411302520697283115e-11
relative error = 1.0567705905554816933152732441275e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.866
Order of pole = 0.324
x[1] = -0.61
y[1] (analytic) = -7.9133545572834037456496898058806
y[1] (numeric) = -7.9133545571992857998835562002842
absolute error = 8.41179457661336055964e-11
relative error = 1.0629871966081938828693347791937e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.866
Order of pole = 0.324
x[1] = -0.609
y[1] (analytic) = -7.9119232629871699381176288798436
y[1] (numeric) = -7.9119232629025748133371193340853
absolute error = 8.45951247805095457583e-11
relative error = 1.0692106327200449510240766040049e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.866
Order of pole = 0.324
x[1] = -0.608
y[1] (analytic) = -7.9104920696726461055097721346643
y[1] (numeric) = -7.9104920695875734381693496482987
absolute error = 8.50726673404224863656e-11
relative error = 1.0754409029316299415023313682756e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=68.6MB, alloc=4.4MB, time=7.37
Complex estimate of poles used
Radius of convergence = 9.866
Order of pole = 0.324
x[1] = -0.607
y[1] (analytic) = -7.9090609773412651634510308951968
y[1] (numeric) = -7.9090609772557145899598956754165
absolute error = 8.55505734911352197803e-11
relative error = 1.0816780112864191102198596870066e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.865
Order of pole = 0.324
x[1] = -0.606
y[1] (analytic) = -7.9076299859944611183957029705979
y[1] (numeric) = -7.907629985908432275117754565222
absolute error = 8.60288432779484053759e-11
relative error = 1.0879219618307601486364355961607e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.865
Order of pole = 0.324
x[1] = -0.605
y[1] (analytic) = -7.9061990956336690677634227955182
y[1] (numeric) = -7.9061990955471615910172222137507
absolute error = 8.65074767462005817675e-11
relative error = 1.0941727586138804090952391784865e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.865
Order of pole = 0.324
x[1] = -0.604
y[1] (analytic) = -7.9047683062603252000752252256226
y[1] (numeric) = -7.9047683061733387261339570465701
absolute error = 8.69864739412681790525e-11
relative error = 1.1004304056878891321321972467880e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.865
Order of pole = 0.324
x[1] = -0.603
y[1] (analytic) = -7.9033376178758667950897230241814
y[1] (numeric) = -7.9033376177884009601811574931167
absolute error = 8.74658349085655310647e-11
relative error = 1.1066949071077796757925582975744e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.865
Order of pole = 0.324
x[1] = -0.602
y[1] (analytic) = -7.9019070304817322239393980765044
y[1] (numeric) = -7.9019070303937866642458531888664
absolute error = 8.79455596935448876380e-11
relative error = 1.1129662669314317469085170476397e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.865
Order of pole = 0.324
x[1] = -0.601
y[1] (analytic) = -7.9004765440793609492670063690289
y[1] (numeric) = -7.9004765439909353009253099421465
absolute error = 8.84256483416964268824e-11
relative error = 1.1192444892196136343739097094952e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.865
Order of pole = 0.324
x[1] = -0.6
y[1] (analytic) = -7.899046158670193525362096769906
y[1] (numeric) = -7.899046158581287424463548502434
absolute error = 8.89061008985482674720e-11
relative error = 1.1255295780359844444140733154724e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.864
Order of pole = 0.324
x[1] = -0.599
y[1] (analytic) = -7.8976158742556715982976436479636
y[1] (numeric) = -7.897615874166284680887977167019
absolute error = 8.93869174096664809446e-11
relative error = 1.1318215374470963378476926602157e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.864
Order of pole = 0.324
x[1] = -0.598
y[1] (analytic) = -7.8961856908372379060667933669594
y[1] (numeric) = -7.8961856907473698081461382629473
absolute error = 8.98680979206551040121e-11
relative error = 1.1381203715223967693323873194178e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.864
Order of pole = 0.324
x[1] = -0.597
y[1] (analytic) = -7.8947556084163362787197246920733
y[1] (numeric) = -7.8947556083259866362425685411901
absolute error = 9.03496424771561508832e-11
relative error = 1.1444260843342307286149117434855e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=72.4MB, alloc=4.4MB, time=7.79
Complex estimate of poles used
Radius of convergence = 9.864
Order of pole = 0.324
x[1] = -0.596
y[1] (analytic) = -7.8933256269944116385006231456222
y[1] (numeric) = -7.8933256269035800873757735200248
absolute error = 9.08315511248496255974e-11
relative error = 1.1507386799578429837751985793735e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.864
Order of pole = 0.324
x[1] = -0.595
y[1] (analytic) = -7.891895746572909999984769349017
y[1] (numeric) = -7.8918957464815961760753158146454
absolute error = 9.13138239094535343716e-11
relative error = 1.1570581624713803264826028083461e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.864
Order of pole = 0.324
x[1] = -0.594
y[1] (analytic) = -7.890465967153278470215741388011
y[1] (numeric) = -7.8904659670614820093390174900549
absolute error = 9.17964608767238979561e-11
relative error = 1.1633845359558938192256992740070e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.864
Order of pole = 0.324
x[1] = -0.593
y[1] (analytic) = -7.8890362887369652488427312383337
y[1] (numeric) = -7.889036288644685786770276474329
absolute error = 9.22794620724547640047e-11
relative error = 1.1697178044953410445770683389149e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.863
Order of pole = 0.324
x[1] = -0.592
y[1] (analytic) = -7.8876067113254196282579752888278
y[1] (numeric) = -7.8876067112326568007154970693727
absolute error = 9.27628275424782194551e-11
relative error = 1.1760579721765883564468287257237e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.863
Order of pole = 0.324
x[1] = -0.591
y[1] (analytic) = -7.8861772349200919937342989992512
y[1] (numeric) = -7.8861772348268454364016345963295
absolute error = 9.32465573326644029217e-11
relative error = 1.1824050430894131333534232047266e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.863
Order of pole = 0.324
x[1] = -0.59
y[1] (analytic) = -7.8847478595224338235627757299327
y[1] (numeric) = -7.8847478594287031720738542128347
absolute error = 9.37306514889215170980e-11
relative error = 1.1887590213265060336780580614952e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.863
Order of pole = 0.324
x[1] = -0.589
y[1] (analytic) = -7.8833185851338976891904997805168
y[1] (numeric) = -7.8833185850396825791333039393418
absolute error = 9.42151100571958411750e-11
relative error = 1.1951199109834732529858498841194e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.863
Order of pole = 0.3241
x[1] = -0.588
y[1] (analytic) = -7.8818894117559372553584736750507
y[1] (numeric) = -7.8818894116612373222750019317845
absolute error = 9.46999330834717432662e-11
relative error = 1.2014877161588387832963933663884e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.863
Order of pole = 0.3241
x[1] = -0.587
y[1] (analytic) = -7.8804603393900072802396097307199
y[1] (numeric) = -7.8804603392948221596258380378727
absolute error = 9.51851206137716928472e-11
relative error = 1.2078624409540466744070921536679e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.863
Order of pole = 0.3241
x[1] = -0.586
y[1] (analytic) = -7.8790313680375636155768459475626
y[1] (numeric) = -7.879031367941892942882689674355
absolute error = 9.56706726941562732076e-11
relative error = 1.2142440894734632972420172105629e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=76.2MB, alloc=4.4MB, time=8.21
Complex estimate of poles used
Radius of convergence = 9.862
Order of pole = 0.3241
x[1] = -0.585
y[1] (analytic) = -7.8776024977000632068213762565284
y[1] (numeric) = -7.8776024976039066174506520626168
absolute error = 9.61565893707241939116e-11
relative error = 1.2206326658243796091825143900992e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.862
Order of pole = 0.3241
x[1] = -0.584
y[1] (analytic) = -7.8761737283789640932709951632902
y[1] (numeric) = -7.8761737282823212225813828600162
absolute error = 9.66428706896123032740e-11
relative error = 1.2270281741170134214664927249378e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.862
Order of pole = 0.3241
x[1] = -0.583
y[1] (analytic) = -7.8747450600757254082085568252414
y[1] (numeric) = -7.8747450599785958915115612243971
absolute error = 9.71295166969956008443e-11
relative error = 1.2334306184645116685656668288935e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.862
Order of pole = 0.3241
x[1] = -0.582
y[1] (analytic) = -7.8733164927918073790405485991579
y[1] (numeric) = -7.8733164926941908516014613492523
absolute error = 9.76165274390872499056e-11
relative error = 1.2398400029829526796277100912663e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.862
Order of pole = 0.3241
x[1] = -0.581
y[1] (analytic) = -7.8718880265286713274357790970289
y[1] (numeric) = -7.8718880264305674244736405070455
absolute error = 9.81039029621385899834e-11
relative error = 1.2462563317913484519230409931987e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.862
Order of pole = 0.3241
x[1] = -0.58
y[1] (analytic) = -7.8704596612877796694641807876024
y[1] (numeric) = -7.8704596611891880261517416382364
absolute error = 9.85916433124391493660e-11
relative error = 1.2526796090116469263197344304227e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.862
Order of pole = 0.3241
x[1] = -0.579
y[1] (analytic) = -7.8690313970705959157357271812258
y[1] (numeric) = -7.8690313969715161671994105235873
absolute error = 9.90797485363166576385e-11
relative error = 1.2591098387687342648138956712124e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.862
Order of pole = 0.3241
x[1] = -0.578
y[1] (analytic) = -7.8676032338785846715394646355921
y[1] (numeric) = -7.867603233779016452859327577366
absolute error = 9.95682186801370582261e-11
relative error = 1.2655470251904371300627982769767e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.861
Order of pole = 0.3241
x[1] = -0.577
y[1] (analytic) = -7.8661751717132116369826588200455
y[1] (numeric) = -7.8661751716131545831923542990945
absolute error = 1.000570537903045209510e-10
relative error = 1.2719911724075249669773388415437e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.861
Order of pole = 0.3241
x[1] = -0.576
y[1] (analytic) = -7.8647472105759436071300558761283
y[1] (numeric) = -7.8647472104753973532167944215278
absolute error = 1.005462539132614546005e-10
relative error = 1.2784422845537122863452524914866e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.861
Order of pole = 0.3241
x[1] = -0.575
y[1] (analytic) = -7.8633193504682484721432583120893
y[1] (numeric) = -7.8633193503672126530477697925834
absolute error = 1.010358190954885195059e-10
relative error = 1.2849003657656609504819253579297e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.861
Order of pole = 0.3241
memory used=80.1MB, alloc=4.4MB, time=8.64
x[1] = -0.574
y[1] (analytic) = -7.8618915913915952174202156691118
y[1] (numeric) = -7.8618915912900694680367110289767
absolute error = 1.015257493835046401351e-10
relative error = 1.2913654201829824609476094745336e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.861
Order of pole = 0.3241
x[1] = -0.573
y[1] (analytic) = -7.8604639333474539237348299970476
y[1] (numeric) = -7.8604639332454378789109629793524
absolute error = 1.020160448238670176952e-10
relative error = 1.2978374519482402482859366415215e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.861
Order of pole = 0.3241
x[1] = -0.572
y[1] (analytic) = -7.8590363763372957673766761774873
y[1] (numeric) = -7.8590363762347890619135050347392
absolute error = 1.025067054631711427481e-10
relative error = 1.3043164652069519638238136312810e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.861
Order of pole = 0.3241
x[1] = -0.571
y[1] (analytic) = -7.8576089203625930202908371320244
y[1] (numeric) = -7.8576089202595952889427863241878
absolute error = 1.029977313480508078366e-10
relative error = 1.3108024641075917735028427279640e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.86
Order of pole = 0.3241
x[1] = -0.57
y[1] (analytic) = -7.8561815654248190502178539536139
y[1] (numeric) = -7.8561815653213299276926758334898
absolute error = 1.034891225251781201241e-10
relative error = 1.3172954528015926537836488441522e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.86
Order of pole = 0.3242
x[1] = -0.569
y[1] (analytic) = -7.8547543115254483208337909989534
y[1] (numeric) = -7.8547543114214674417925274849094
absolute error = 1.039808790412635140440e-10
relative error = 1.3237954354433486895754358187920e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.86
Order of pole = 0.3242
x[1] = -0.568
y[1] (analytic) = -7.8533271586659563918904159798585
y[1] (numeric) = -7.8533271585614833909473602158952
absolute error = 1.044730009430557639633e-10
relative error = 1.3303024161902173742499854147193e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.86
Order of pole = 0.3242
x[1] = -0.567
y[1] (analytic) = -7.8519001068478199193554950916313
y[1] (numeric) = -7.8519001067428544310781530947762
absolute error = 1.049654882773419968551e-10
relative error = 1.3368163992025219116745872849136e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.86
Order of pole = 0.3242
x[1] = -0.566
y[1] (analytic) = -7.8504731560725166555532032164647
y[1] (numeric) = -7.8504731559670583144622555114788
absolute error = 1.054583410909477049859e-10
relative error = 1.3433373886435535203409586624917e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.86
Order of pole = 0.3242
x[1] = -0.565
y[1] (analytic) = -7.8490463063415254493046492399534
y[1] (numeric) = -7.8490463062355738898739124813404
absolute error = 1.059515594307367586130e-10
relative error = 1.3498653886795737395322755529654e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.86
Order of pole = 0.3242
x[1] = -0.564
y[1] (analytic) = -7.8476195576563262460685165188217
y[1] (numeric) = -7.8476195575498811027249051001281
absolute error = 1.064451433436114186936e-10
relative error = 1.3564004034798167375506313309042e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.859
Order of pole = 0.3242
x[1] = -0.563
y[1] (analytic) = -7.8461929100184000880818185380148
y[1] (numeric) = -7.8461929099114609952053061884079
absolute error = 1.069390928765123496069e-10
relative error = 1.3629424372164916220234467981609e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=83.9MB, alloc=4.4MB, time=9.07
Complex estimate of poles used
Radius of convergence = 9.859
Order of pole = 0.3242
x[1] = -0.562
y[1] (analytic) = -7.844766363429229114500769795332
y[1] (numeric) = -7.8447663633217957064243511634449
absolute error = 1.074334080764186318871e-10
relative error = 1.3694914940647847522640409076761e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.859
Order of pole = 0.3242
x[1] = -0.561
y[1] (analytic) = -7.8433399178902965615417719518192
y[1] (numeric) = -7.8433399177823684725514241768507
absolute error = 1.079280889903477749685e-10
relative error = 1.3760475782028620537036083898429e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.859
Order of pole = 0.3242
x[1] = -0.56
y[1] (analytic) = -7.8419135734030867626225152861721
y[1] (numeric) = -7.8419135732946636269571595562293
absolute error = 1.084231356653557299428e-10
relative error = 1.3826106938118713343978476227634e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.859
Order of pole = 0.3242
x[1] = -0.559
y[1] (analytic) = -7.8404873299690851485031954914373
y[1] (numeric) = -7.8404873298601666003546585891095
absolute error = 1.089185481485369023278e-10
relative error = 1.3891808450759446036000071207496e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.859
Order of pole = 0.3242
x[1] = -0.558
y[1] (analytic) = -7.839061187589778247427845852335
y[1] (numeric) = -7.8390611874803639209408216874867
absolute error = 1.094143264870241648483e-10
relative error = 1.3957580361822003924125168323318e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.859
Order of pole = 0.3242
x[1] = -0.557
y[1] (analytic) = -7.8376351462666536852657848415602
y[1] (numeric) = -7.8376351461567432145377959713316
absolute error = 1.099104707279888702286e-10
relative error = 1.4023422713207460765115248098017e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.858
Order of pole = 0.3242
x[1] = -0.556
y[1] (analytic) = -7.8362092060012001856531791734594
y[1] (numeric) = -7.8362092058907932047345383094619
absolute error = 1.104069809186408639975e-10
relative error = 1.4089335546846802009577926411967e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.858
Order of pole = 0.3242
x[1] = -0.555
y[1] (analytic) = -7.8347833667949075701347223535094
y[1] (numeric) = -7.8347833666840037130284938562053
absolute error = 1.109038571062284973041e-10
relative error = 1.4155318904700948070742364660663e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.858
Order of pole = 0.3243
x[1] = -0.554
y[1] (analytic) = -7.8333576286492667583054287620678
y[1] (numeric) = -7.8333576285378656589673901223209
absolute error = 1.114010993380386397469e-10
relative error = 1.4221372828760777614239877324652e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.858
Order of pole = 0.3243
x[1] = -0.553
y[1] (analytic) = -7.8319319915657697679525433108927
y[1] (numeric) = -7.8319319914538710602911466186791
absolute error = 1.118987076613966922136e-10
relative error = 1.4287497361047150868577783406905e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.858
Order of pole = 0.3243
x[1] = -0.552
y[1] (analytic) = -7.8305064555459097151975667109718
y[1] (numeric) = -7.8305064554335130330739001112383
absolute error = 1.123966821236665997335e-10
relative error = 1.4353692543610932956568761131639e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=87.7MB, alloc=4.4MB, time=9.49
Complex estimate of poles used
Radius of convergence = 9.858
Order of pole = 0.3243
x[1] = -0.551
y[1] (analytic) = -7.8290810205911808146383963902329
y[1] (numeric) = -7.829081020478285791866145525891
absolute error = 1.128950227722508643419e-10
relative error = 1.4419958418533017247659016916899e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.858
Order of pole = 0.3243
x[1] = -0.55
y[1] (analytic) = -7.8276556867030783794915830997432
y[1] (numeric) = -7.8276556865896846498369925417877
absolute error = 1.133937296545905579555e-10
relative error = 1.4486295027924348731047387991348e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.857
Order of pole = 0.3243
x[1] = -0.549
y[1] (analytic) = -7.8262304538830988217347032470445
y[1] (numeric) = -7.8262304537692060189165379117835
absolute error = 1.138928028181653352610e-10
relative error = 1.4552702413925947409896214072580e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.857
Order of pole = 0.3243
x[1] = -0.548
y[1] (analytic) = -7.8248053221327396522488469953036
y[1] (numeric) = -7.8248053220183474099383535486883
absolute error = 1.143922423104934466153e-10
relative error = 1.4619180618708931716449608628857e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.857
Order of pole = 0.3243
x[1] = -0.547
y[1] (analytic) = -7.8233802914534994809612221669928
y[1] (numeric) = -7.8233802913386074327820904160358
absolute error = 1.148920481791317509570e-10
relative error = 1.4685729684474541948040651912896e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.857
Order of pole = 0.3243
x[1] = -0.546
y[1] (analytic) = -7.8219553618468780169878739908547
y[1] (numeric) = -7.8219553617314857965161982621248
absolute error = 1.153922204716757287299e-10
relative error = 1.4752349653454163724096838111802e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.857
Order of pole = 0.3243
x[1] = -0.545
y[1] (analytic) = -7.8205305333143760687765207309392
y[1] (numeric) = -7.8205305331984833095407612361194
absolute error = 1.158927592357594948198e-10
relative error = 1.4819040567909351464329981267858e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.857
Order of pole = 0.3243
x[1] = -0.544
y[1] (analytic) = -7.8191058058574955442495052365357
y[1] (numeric) = -7.8191058057411018797304494250336
absolute error = 1.163936645190558115021e-10
relative error = 1.4885802470131851887811058754103e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.857
Order of pole = 0.3243
x[1] = -0.543
y[1] (analytic) = -7.8176811794777394509468624518604
y[1] (numeric) = -7.8176811793608445145775863504593
absolute error = 1.168949363692761014011e-10
relative error = 1.4952635402443627533064937708355e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.856
Order of pole = 0.3244
x[1] = -0.542
y[1] (analytic) = -7.8162566541766118961695029243961
y[1] (numeric) = -7.8162566540592153213353324639336
absolute error = 1.173965748341704604625e-10
relative error = 1.5019539407196880299396881482244e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.856
Order of pole = 0.3244
x[1] = -0.541
y[1] (analytic) = -7.8148322299556180871225123508149
y[1] (numeric) = -7.8148322298377195071609846798781
absolute error = 1.178985799615276709368e-10
relative error = 1.5086514526774075009176779065343e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=91.5MB, alloc=4.5MB, time=9.92
Complex estimate of poles used
Radius of convergence = 9.856
Order of pole = 0.3244
x[1] = -0.54
y[1] (analytic) = -7.8134079068162643310585671994531
y[1] (numeric) = -7.8134079066978633792593919850775
absolute error = 1.184009517991752143756e-10
relative error = 1.5153560803587962991356968503213e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.856
Order of pole = 0.3244
x[1] = -0.539
y[1] (analytic) = -7.8119836847600580354214664483399
y[1] (numeric) = -7.8119836846411543450264871637012
absolute error = 1.189036903949792846387e-10
relative error = 1.5220678280081605685975084779330e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.856
Order of pole = 0.3244
x[1] = -0.538
y[1] (analytic) = -7.8105595637885077079897794778237
y[1] (numeric) = -7.8105595636691009121929346769088
absolute error = 1.194067957968448009149e-10
relative error = 1.5287866998728398270033150728470e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.856
Order of pole = 0.3244
x[1] = -0.537
y[1] (analytic) = -7.8091355439031229570206101568681
y[1] (numeric) = -7.8091355437832126889678947361149
absolute error = 1.199102680527154207532e-10
relative error = 1.5355127002032093304350750121156e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.856
Order of pole = 0.3244
x[1] = -0.536
y[1] (analytic) = -7.8077116251054144913934771621324
y[1] (numeric) = -7.8077116249850003841829036090255
absolute error = 1.204141072105735531069e-10
relative error = 1.5422458332526824401732382236140e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.855
Order of pole = 0.3244
x[1] = -0.535
y[1] (analytic) = -7.8062878073968941207543105689845
y[1] (numeric) = -7.8062878072759758074358701975943
absolute error = 1.209183133184403713902e-10
relative error = 1.5489861032777129916418089858492e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.855
Order of pole = 0.3244
x[1] = -0.534
y[1] (analytic) = -7.8048640907790747556595647536294
y[1] (numeric) = -7.8048640906576518692351889270838
absolute error = 1.214228864243758265456e-10
relative error = 1.5557335145377976654619836376051e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.855
Order of pole = 0.3244
x[1] = -0.533
y[1] (analytic) = -7.8034404752534704077204476455745
y[1] (numeric) = -7.8034404751315425811439689854511
absolute error = 1.219278265764786601234e-10
relative error = 1.5624880712954783606330256822351e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.855
Order of pole = 0.3244
x[1] = -0.532
y[1] (analytic) = -7.8020169608215961897472663696912
y[1] (numeric) = -7.8020169606991630559243799523154
absolute error = 1.224331338228864173758e-10
relative error = 1.5692497778163445698744478216147e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.855
Order of pole = 0.3244
x[1] = -0.531
y[1] (analytic) = -7.8005935474849683158938893171595
y[1] (numeric) = -7.8005935473620295076821138568006
absolute error = 1.229388082117754603589e-10
relative error = 1.5760186383690357570456796108016e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.855
Order of pole = 0.3245
x[1] = -0.53
y[1] (analytic) = -7.7991702352451041018023246846326
y[1] (numeric) = -7.7991702351216592520109637035819
absolute error = 1.234448497913609810507e-10
relative error = 1.5827946572252437367490399772255e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=95.3MB, alloc=4.5MB, time=10.34
Complex estimate of poles used
Radius of convergence = 9.855
Order of pole = 0.3245
x[1] = -0.529
y[1] (analytic) = -7.7977470241035219647474155209799
y[1] (numeric) = -7.7977470239795707061375185065014
absolute error = 1.239512586098970144785e-10
relative error = 1.5895778386597150560334715497304e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.854
Order of pole = 0.3245
x[1] = -0.528
y[1] (analytic) = -7.7963239140617414237816513210156
y[1] (numeric) = -7.7963239139372833890659748691554
absolute error = 1.244580347156764518602e-10
relative error = 1.5963681869502533782587471421546e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.854
Order of pole = 0.3245
x[1] = -0.527
y[1] (analytic) = -7.7949009051212830998800962056463
y[1] (numeric) = -7.7949009049963179217230651518907
absolute error = 1.249651781570310537556e-10
relative error = 1.6031657063777218690721823579043e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.854
Order of pole = 0.3245
x[1] = -0.526
y[1] (analytic) = -7.7934779972836687160854337279174
y[1] (numeric) = -7.7934779971581960271031022646844
absolute error = 1.254726889823314632330e-10
relative error = 1.6099704012260455845678647971751e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.854
Order of pole = 0.3245
x[1] = -0.525
y[1] (analytic) = -7.792055190550421097653128344462
y[1] (numeric) = -7.7920551904244405304131411254181
absolute error = 1.259805672399872190439e-10
relative error = 1.6167822757822138615380919782867e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.854
Order of pole = 0.3245
x[1] = -0.524
y[1] (analytic) = -7.7906324849230641721967035919064
y[1] (numeric) = -7.7906324847965753592182568230927
absolute error = 1.264888129784467688137e-10
relative error = 1.6236013343362827099203998103168e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.854
Order of pole = 0.3245
x[1] = -0.523
y[1] (analytic) = -7.7892098804031229698331370078106
y[1] (numeric) = -7.7892098802761255435869395255688
absolute error = 1.269974262461974822418e-10
relative error = 1.6304275811813772073575587279237e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.854
Order of pole = 0.3245
x[1] = -0.522
y[1] (analytic) = -7.7877873769921236233283718357656
y[1] (numeric) = -7.7877873768646172162366061714505
absolute error = 1.275064070917656643151e-10
relative error = 1.6372610206136938959239035497772e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.853
Order of pole = 0.3245
x[1] = -0.521
y[1] (analytic) = -7.7863649746915933682429455543037
y[1] (numeric) = -7.7863649745635776126792289857704
absolute error = 1.280157555637165685333e-10
relative error = 1.6441016569325031809995196852439e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.853
Order of pole = 0.3246
x[1] = -0.52
y[1] (analytic) = -7.7849426735030605430777352693139
y[1] (numeric) = -7.7849426733745350713670808591677
absolute error = 1.285254717106544101462e-10
relative error = 1.6509494944401517322969020127779e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.853
Order of pole = 0.3246
x[1] = -0.519
y[1] (analytic) = -7.7835204734280545894198200096925
y[1] (numeric) = -7.7835204732990190338385976302885
absolute error = 1.290355555812223794040e-10
relative error = 1.6578045374420648870549867809776e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.853
Order of pole = 0.3246
memory used=99.1MB, alloc=4.5MB, time=10.76
x[1] = -0.518
y[1] (analytic) = -7.7820983744681060520884599659926
y[1] (numeric) = -7.7820983743385600448643573111744
absolute error = 1.295460072241026548182e-10
relative error = 1.6646667902467490553717878028717e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.853
Order of pole = 0.3246
x[1] = -0.517
y[1] (analytic) = -7.7806763766247465792811927118774
y[1] (numeric) = -7.7806763764946897525931762954409
absolute error = 1.300568266880164164365e-10
relative error = 1.6715362571657941277213689461557e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.853
Order of pole = 0.3246
x[1] = -0.516
y[1] (analytic) = -7.7792544798995089227200464482125
y[1] (numeric) = -7.7792544797689409086983225890844
absolute error = 1.305680140217238591281e-10
relative error = 1.6784129425138758846109680345245e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.853
Order of pole = 0.3246
x[1] = -0.515
y[1] (analytic) = -7.7778326842939269377978703096762
y[1] (numeric) = -7.7778326841628473685238461037934
absolute error = 1.310795692740242058828e-10
relative error = 1.6852968506087584084240211634189e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.852
Order of pole = 0.3246
x[1] = -0.514
y[1] (analytic) = -7.7764109898095355837247817737965
y[1] (numeric) = -7.7764109896779440912310260526753
absolute error = 1.315914924937557211212e-10
relative error = 1.6921879857712964974164601442690e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.852
Order of pole = 0.3246
x[1] = -0.513
y[1] (analytic) = -7.7749893964478709236747312123646
y[1] (numeric) = -7.774989396315767139944935488347
absolute error = 1.321037837297957240176e-10
relative error = 1.6990863523254380818889127466880e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.852
Order of pole = 0.3246
x[1] = -0.512
y[1] (analytic) = -7.7735679042104701249321836252089
y[1] (numeric) = -7.7735679040778536819011230233744
absolute error = 1.326164430310606018345e-10
relative error = 1.7059919545982266425227345777044e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.852
Order of pole = 0.3246
x[1] = -0.511
y[1] (analytic) = -7.7721465130988714590389175963535
y[1] (numeric) = -7.7721465129657419885924117730828
absolute error = 1.331294704465058232707e-10
relative error = 1.7129047969198036309076689393002e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.852
Order of pole = 0.3247
x[1] = -0.51
y[1] (analytic) = -7.7707252231146143019409415126158
y[1] (numeric) = -7.7707252229809714359158155607959
absolute error = 1.336428660251259518199e-10
relative error = 1.7198248836234108922233398840026e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.852
Order of pole = 0.3247
x[1] = -0.509
y[1] (analytic) = -7.7693040342592391341355270847415
y[1] (numeric) = -7.7693040341250825043195724255987
absolute error = 1.341566298159546591428e-10
relative error = 1.7267522190453930901152416265849e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.851
Order of pole = 0.3247
x[1] = -0.508
y[1] (analytic) = -7.767882946534287540818360211206
y[1] (numeric) = -7.7678829463996167789502954727558
absolute error = 1.346707618680647384502e-10
relative error = 1.7336868075252001337351417692910e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.851
Order of pole = 0.3247
x[1] = -0.507
y[1] (analytic) = -7.7664619599413022120308092248539
y[1] (numeric) = -7.7664619598061169498002411069532
absolute error = 1.351852622305681179007e-10
relative error = 1.7406286534053896069943137425267e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=103.0MB, alloc=4.5MB, time=11.18
Complex estimate of poles used
Radius of convergence = 9.851
Order of pole = 0.3247
x[1] = -0.506
y[1] (analytic) = -7.7650410744818269428073105625769
y[1] (numeric) = -7.7650410743461268118546946885697
absolute error = 1.357001309526158740072e-10
relative error = 1.7475777610316291999570285018561e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.851
Order of pole = 0.3247
x[1] = -0.505
y[1] (analytic) = -7.7636202901574066333228718982772
y[1] (numeric) = -7.7636202900211912652394736532183
absolute error = 1.362153680833982450589e-10
relative error = 1.7545341347526991424626357626312e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.851
Order of pole = 0.3247
x[1] = -0.504
y[1] (analytic) = -7.7621996069695872890406927793917
y[1] (numeric) = -7.762199606832856315368548134838
absolute error = 1.367309736721446445537e-10
relative error = 1.7614977789204946399126747752732e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.851
Order of pole = 0.3247
x[1] = -0.503
y[1] (analytic) = -7.7607790249199160208599028072932
y[1] (numeric) = -7.76077902478266907309177913265
absolute error = 1.372469477681236746432e-10
relative error = 1.7684686978900283112534234115179e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.851
Order of pole = 0.3247
x[1] = -0.502
y[1] (analytic) = -7.7593585440099410452634174019221
y[1] (numeric) = -7.7593585438721777548427742623312
absolute error = 1.377632904206431395909e-10
relative error = 1.7754468960194326291637177490324e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.85
Order of pole = 0.3248
x[1] = -0.501
y[1] (analytic) = -7.7579381642412116844659111910357
y[1] (numeric) = -7.757938164102931682786861131795
absolute error = 1.382800016790500592407e-10
relative error = 1.7824323776699623624127727953781e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.85
Order of pole = 0.3248
x[1] = -0.5
y[1] (analytic) = -7.7565178856152783665619090645037
y[1] (numeric) = -7.7565178854764812849691783820037
absolute error = 1.387970815927306825000e-10
relative error = 1.7894251472059970204455076141932e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.85
Order of pole = 0.3248
x[1] = -0.499
y[1] (analytic) = -7.7550977081336926256739949341119
y[1] (numeric) = -7.7550977079943780954628844332776
absolute error = 1.393145302111105008343e-10
relative error = 1.7964252089950433001575403953427e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.85
Order of pole = 0.3248
x[1] = -0.498
y[1] (analytic) = -7.7536776317980071021011382393709
y[1] (numeric) = -7.7536776316581747545174839775985
absolute error = 1.398323475836542617724e-10
relative error = 1.8034325674077375348503363284521e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.85
Order of pole = 0.3248
x[1] = -0.497
y[1] (analytic) = -7.7522576566097755424671382398735
y[1] (numeric) = -7.7522576564694250087072722574468
absolute error = 1.403505337598659824267e-10
relative error = 1.8104472268178481454266334541099e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.85
Order of pole = 0.3248
x[1] = -0.496
y[1] (analytic) = -7.7508377825705527998691861347684
y[1] (numeric) = -7.7508377824296837110798971717437
absolute error = 1.408690887892889630247e-10
relative error = 1.8174691916022780937779835368394e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=106.8MB, alloc=4.5MB, time=11.61
Complex estimate of poles used
Radius of convergence = 9.85
Order of pole = 0.3248
x[1] = -0.495
y[1] (analytic) = -7.7494180096818948340265450499619
y[1] (numeric) = -7.7494180095405068213050392495111
absolute error = 1.413880127215058004508e-10
relative error = 1.8244984661410673383548861112662e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.849
Order of pole = 0.3248
x[1] = -0.494
y[1] (analytic) = -7.7479983379453587114293479337012
y[1] (numeric) = -7.7479983378034514058232095318962
absolute error = 1.419073056061384018050e-10
relative error = 1.8315350548173952920067782217806e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.849
Order of pole = 0.3248
x[1] = -0.493
y[1] (analytic) = -7.7465787673625026054875134012146
y[1] (numeric) = -7.7465787672200756379946654032459
absolute error = 1.424269674928479979687e-10
relative error = 1.8385789620175832819675630778115e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.849
Order of pole = 0.3249
x[1] = -0.492
y[1] (analytic) = -7.7451592979348857966797795691394
y[1] (numeric) = -7.7451592977919387982484444119526
absolute error = 1.429469984313351571868e-10
relative error = 1.8456301921310970121074921949001e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.849
Order of pole = 0.3249
x[1] = -0.491
y[1] (analytic) = -7.7437399296640686727028559204918
y[1] (numeric) = -7.7437399295206012742315161218308
absolute error = 1.434673984713397986610e-10
relative error = 1.8526887495505490273877266022090e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.849
Order of pole = 0.3249
x[1] = -0.49
y[1] (analytic) = -7.7423206625516127286206932409751
y[1] (numeric) = -7.7423206624076245609580520348209
absolute error = 1.439881676626412061542e-10
relative error = 1.8597546386717011805183885422127e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.849
Order of pole = 0.3249
x[1] = -0.489
y[1] (analytic) = -7.7409014965990805670138716674611
y[1] (numeric) = -7.7409014964545712609588136258523
absolute error = 1.445093060550580416088e-10
relative error = 1.8668278638934671008583787417680e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.849
Order of pole = 0.3249
x[1] = -0.488
y[1] (analytic) = -7.7394824318080358981291068895146
y[1] (numeric) = -7.7394824316630050844306585307375
absolute error = 1.450308136984483587771e-10
relative error = 1.8739084296179146655358541039064e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.848
Order of pole = 0.3249
x[1] = -0.487
y[1] (analytic) = -7.7380634681800435400288745448678
y[1] (numeric) = -7.7380634680344908493861649280039
absolute error = 1.455526906427096168639e-10
relative error = 1.8809963402502684727927827672071e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.848
Order of pole = 0.3249
x[1] = -0.486
y[1] (analytic) = -7.7366446057166694187411528497897
y[1] (numeric) = -7.7366446055705944818033741556086
absolute error = 1.460749369377786941811e-10
relative error = 1.8880916001989123175531199620090e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.848
Order of pole = 0.3249
x[1] = -0.485
y[1] (analytic) = -7.7352258444194805684092835053328
y[1] (numeric) = -7.7352258442728830157756516035176
absolute error = 1.465975526336319018152e-10
relative error = 1.8951942138753916692283671983021e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=110.6MB, alloc=4.5MB, time=12.03
Complex estimate of poles used
Radius of convergence = 9.848
Order of pole = 0.325
x[1] = -0.484
y[1] (analytic) = -7.7338071842900451314419509204768
y[1] (numeric) = -7.7338071841429245936616659231693
absolute error = 1.471205377802849973075e-10
relative error = 1.9023041856944161517600733676889e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.848
Order of pole = 0.325
x[1] = -0.483
y[1] (analytic) = -7.7323886253299323586632797932242
y[1] (numeric) = -7.7323886251822884662354865948779
absolute error = 1.476438924277931983463e-10
relative error = 1.9094215200738620258923684990831e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.848
Order of pole = 0.325
x[1] = -0.482
y[1] (analytic) = -7.7309701675407126094630510907428
y[1] (numeric) = -7.7309701673925449928367998942717
absolute error = 1.481676166262511964711e-10
relative error = 1.9165462214347746736766643694869e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.848
Order of pole = 0.325
x[1] = -0.481
y[1] (analytic) = -7.7295518109239573519470364696858
y[1] (numeric) = -7.7295518107752656415212432988959
absolute error = 1.486917104257931707899e-10
relative error = 1.9236782942013710852248895154215e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.847
Order of pole = 0.325
x[1] = -0.48
y[1] (analytic) = -7.7281335554812391630874511778593
y[1] (numeric) = -7.7281335553320229892108583761498
absolute error = 1.492161738765928017095e-10
relative error = 1.9308177428010423477121216520203e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.847
Order of pole = 0.325
x[1] = -0.479
y[1] (analytic) = -7.7267154012141317288735254784392
y[1] (numeric) = -7.7267154010643907218446621937627
absolute error = 1.497410070288632846765e-10
relative error = 1.9379645716643561366010082393095e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.847
Order of pole = 0.325
x[1] = -0.478
y[1] (analytic) = -7.7252973481242098444621946379847
y[1] (numeric) = -7.7252973479739436345293372940527
absolute error = 1.502662099328573439320e-10
relative error = 1.9451187852250592091289302716907e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.847
Order of pole = 0.325
x[1] = -0.477
y[1] (analytic) = -7.7238793962130494143289075195281
y[1] (numeric) = -7.7238793960622576316900402732484
absolute error = 1.507917826388672462797e-10
relative error = 1.9522803879200799000561989871140e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.847
Order of pole = 0.3251
x[1] = -0.476
y[1] (analytic) = -7.7224615454822274524185538220551
y[1] (numeric) = -7.7224615453309097272213290071921
absolute error = 1.513177251972248148630e-10
relative error = 1.9594493841895306196204799017032e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.847
Order of pole = 0.3251
x[1] = -0.475
y[1] (analytic) = -7.7210437959333220822965100077381
y[1] (numeric) = -7.7210437957814780446382085647784
absolute error = 1.518440376583014429597e-10
relative error = 1.9666257784767103538109281867214e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.846
Order of pole = 0.3251
x[1] = -0.474
y[1] (analytic) = -7.7196261475679125372998039583075
y[1] (numeric) = -7.7196261474155418172272958505232
absolute error = 1.523707200725081077843e-10
relative error = 1.9738095752281071668347409391167e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=114.4MB, alloc=4.5MB, time=12.46
Complex estimate of poles used
Radius of convergence = 9.846
Order of pole = 0.3251
x[1] = -0.473
y[1] (analytic) = -7.7182086003875791606883984019971
y[1] (numeric) = -7.7182086002346813881981030176912
absolute error = 1.528977724902953843059e-10
relative error = 1.9810007788934007058818586808247e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.846
Order of pole = 0.3251
x[1] = -0.472
y[1] (analytic) = -7.7167911543939034057965931525291
y[1] (numeric) = -7.7167911542404782108344396934519
absolute error = 1.534251949621534590772e-10
relative error = 1.9881993939254647081317184902262e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.846
Order of pole = 0.3251
x[1] = -0.471
y[1] (analytic) = -7.7153738095884678361845462016449
y[1] (numeric) = -7.7153738094345148486459340575676
absolute error = 1.539529875386121440773e-10
relative error = 1.9954054247803695100391979837593e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.846
Order of pole = 0.3251
x[1] = -0.47
y[1] (analytic) = -7.7139565659728561257899137067219
y[1] (numeric) = -7.7139565658183749755196728161576
absolute error = 1.544811502702408905643e-10
relative error = 2.0026188759173845588500875022123e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.846
Order of pole = 0.3251
x[1] = -0.469
y[1] (analytic) = -7.7125394235486530590796089150638
y[1] (numeric) = -7.7125394233936433758719601121189
absolute error = 1.550096832076488029449e-10
relative error = 2.0098397517989809264415720056323e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.846
Order of pole = 0.3252
x[1] = -0.468
y[1] (analytic) = -7.7111223823174445312016800664723
y[1] (numeric) = -7.7111223821619059448001954138211
absolute error = 1.555385864014846526512e-10
relative error = 2.0170680568908338253628828891171e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.845
Order of pole = 0.3252
x[1] = -0.467
y[1] (analytic) = -7.7097054422808175481373073157666
y[1] (numeric) = -7.7097054421247496882348704237313
absolute error = 1.560678599024368920353e-10
relative error = 2.0243037956618251272156970053658e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.845
Order of pole = 0.3252
x[1] = -0.466
y[1] (analytic) = -7.7082886034403602268529187169353
y[1] (numeric) = -7.7082886032837627230916850486635
absolute error = 1.565975037612336682718e-10
relative error = 2.0315469725840458832481170546552e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.845
Order of pole = 0.3252
x[1] = -0.465
y[1] (analytic) = -7.7068718657976617954524253106586
y[1] (numeric) = -7.706871865640534277423782473382
absolute error = 1.571275180286428372766e-10
relative error = 2.0387975921327988472733314554879e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.845
Order of pole = 0.3252
x[1] = -0.464
y[1] (analytic) = -7.705455229354312593329575356964
y[1] (numeric) = -7.7054552291966546905741033793284
absolute error = 1.576579027554719776356e-10
relative error = 2.0460556587866010008321426120930e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.845
Order of pole = 0.3252
x[1] = -0.463
y[1] (analytic) = -7.7040386941119040713204277548267
y[1] (numeric) = -7.7040386939537154133278593502792
absolute error = 1.581886579925684045475e-10
relative error = 2.0533211770271860806560228713731e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.845
Order of pole = 0.3252
memory used=118.2MB, alloc=4.5MB, time=12.89
x[1] = -0.462
y[1] (analytic) = -7.7026222600720287918559446905561
y[1] (numeric) = -7.7026222599133090080651255067769
absolute error = 1.587197837908191837792e-10
relative error = 2.0605941513395071084134391460104e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.845
Order of pole = 0.3253
x[1] = -0.461
y[1] (analytic) = -7.7012059272362804291147035568499
y[1] (numeric) = -7.7012059270770291489135524112182
absolute error = 1.592512802011511456317e-10
relative error = 2.0678745862117389227143698831710e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.844
Order of pole = 0.3253
x[1] = -0.46
y[1] (analytic) = -7.6997896956062537691757281844401
y[1] (numeric) = -7.6997896954464706219011972855176
absolute error = 1.597831472745308989225e-10
relative error = 2.0751624861352807134530979274349e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.844
Order of pole = 0.3253
x[1] = -0.459
y[1] (analytic) = -7.6983735651835447101714394282818
y[1] (numeric) = -7.6983735650232293251094745833052
absolute error = 1.603153850619648449766e-10
relative error = 2.0824578556047585583889221582084e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.844
Order of pole = 0.3253
x[1] = -0.458
y[1] (analytic) = -7.6969575359697502624407251502859
y[1] (numeric) = -7.6969575358089022688262259586536
absolute error = 1.608479936144991916323e-10
relative error = 2.0897606991180279620474714125730e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.844
Order of pole = 0.3253
x[1] = -0.457
y[1] (analytic) = -7.6955416079664685486821296406262
y[1] (numeric) = -7.6955416078050875756989096733668
absolute error = 1.613809729832199672594e-10
relative error = 2.0970710211761763969136719974387e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.844
Order of pole = 0.3253
x[1] = -0.456
y[1] (analytic) = -7.6941257811752988041071625196935
y[1] (numeric) = -7.6941257810133844808879094849036
absolute error = 1.619143232192530347899e-10
relative error = 2.1043888262835258469198688740662e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.844
Order of pole = 0.3253
x[1] = -0.455
y[1] (analytic) = -7.6927100555978413765937271628035
y[1] (numeric) = -7.692710055435393332219963057043
absolute error = 1.624480443737641057605e-10
relative error = 2.1117141189476353532222053799984e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.844
Order of pole = 0.3254
x[1] = -0.454
y[1] (analytic) = -7.6912944312356977268396686898091
y[1] (numeric) = -7.6912944310727155903417099354398
absolute error = 1.629821364979587543693e-10
relative error = 2.1190469036793035622986605932790e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.843
Order of pole = 0.3254
x[1] = -0.453
y[1] (analytic) = -7.6898789080904704285164415617986
y[1] (numeric) = -7.6898789079269538288733591302548
absolute error = 1.635165996430824315438e-10
relative error = 2.1263871849925712763332699517982e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.843
Order of pole = 0.3254
x[1] = -0.452
y[1] (analytic) = -7.6884634861637631684228968271058
y[1] (numeric) = -7.6884634859997117345624763480827
absolute error = 1.640514338604204790231e-10
relative error = 2.1337349674047240059264392676110e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.843
Order of pole = 0.3254
x[1] = -0.451
y[1] (analytic) = -7.6870481654571807466391890588884
y[1] (numeric) = -7.6870481652925941074378909154388
memory used=122.0MB, alloc=4.5MB, time=13.31
absolute error = 1.645866392012981434496e-10
relative error = 2.1410902554362945250724525476138e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.843
Order of pole = 0.3254
x[1] = -0.45
y[1] (analytic) = -7.6856329459723290766808030265815
y[1] (numeric) = -7.6856329458072068609637224361031
absolute error = 1.651222157170805904784e-10
relative error = 2.1484530536110654285130319799772e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.843
Order of pole = 0.3254
x[1] = -0.449
y[1] (analytic) = -7.6842178277108151856527001435535
y[1] (numeric) = -7.6842178275451570221935272246591
absolute error = 1.656581634591729188944e-10
relative error = 2.1558233664560716913391188260475e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.843
Order of pole = 0.3254
x[1] = -0.448
y[1] (analytic) = -7.6828028106742472144035847333473
y[1] (numeric) = -7.6828028105080527319245645586026
absolute error = 1.661944824790201747447e-10
relative error = 2.1632011985016032309419377207900e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.842
Order of pole = 0.3255
x[1] = -0.447
y[1] (analytic) = -7.6813878948642344176802901569171
y[1] (numeric) = -7.681387894697503244852182791433
absolute error = 1.667311728281073654841e-10
relative error = 2.1705865542812074712869737989803e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.842
Order of pole = 0.3255
x[1] = -0.446
y[1] (analytic) = -7.6799730802823871642822848433101
y[1] (numeric) = -7.6799730801151189297243253691788
absolute error = 1.672682345579594741313e-10
relative error = 2.1779794383316919094818480855766e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.842
Order of pole = 0.3255
x[1] = -0.445
y[1] (analytic) = -7.6785583669303169372162982662867
y[1] (numeric) = -7.6785583667625112694961567928471
absolute error = 1.678056677201414734396e-10
relative error = 2.1853798551931266846897772171457e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.842
Order of pole = 0.3255
x[1] = -0.444
y[1] (analytic) = -7.6771437548096363338510669094034
y[1] (numeric) = -7.677143754641292861484808569324
absolute error = 1.683434723662583400794e-10
relative error = 2.1927878094088471493557119280050e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.842
Order of pole = 0.3255
x[1] = -0.443
y[1] (analytic) = -7.6757292439219590660722002621263
y[1] (numeric) = -7.6757292437530774175242451932919
absolute error = 1.688816485479550688344e-10
relative error = 2.2002033055254564427721284440580e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.842
Order of pole = 0.3255
x[1] = -0.442
y[1] (analytic) = -7.6743148342688999604371668895769
y[1] (numeric) = -7.6743148340994797641202502027681
absolute error = 1.694201963169166868088e-10
relative error = 2.2076263480928280669515455681090e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.842
Order of pole = 0.3255
x[1] = -0.441
y[1] (analytic) = -7.6729005258520749583304006185552
y[1] (numeric) = -7.6729005256821158426055323509063
absolute error = 1.699591157248682676489e-10
relative error = 2.2150569416641084648522913238267e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.841
Order of pole = 0.3256
x[1] = -0.44
y[1] (analytic) = -7.6714863186731011161185268825187
y[1] (numeric) = -7.671486318502602709294951936742
absolute error = 1.704984068235749457767e-10
relative error = 2.2224950907957196009285060676382e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=125.8MB, alloc=4.5MB, time=13.73
Complex estimate of poles used
Radius of convergence = 9.841
Order of pole = 0.3256
x[1] = -0.439
y[1] (analytic) = -7.6700722127335966053057092682374
y[1] (numeric) = -7.6700722125625585356408673376002
absolute error = 1.710380696648419306372e-10
relative error = 2.2299408000473615440287797595376e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.841
Order of pole = 0.3256
x[1] = -0.438
y[1] (analytic) = -7.6686582080351807126891163068785
y[1] (numeric) = -7.6686582078636026083886017859225
absolute error = 1.715781043005145209560e-10
relative error = 2.2373940739820150526013516775529e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.841
Order of pole = 0.3256
x[1] = -0.437
y[1] (analytic) = -7.6672443045794738405145085523227
y[1] (numeric) = -7.6672443044073553297320304333095
absolute error = 1.721185107824781190132e-10
relative error = 2.2448549171659441622863373110863e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.841
Order of pole = 0.3256
x[1] = -0.436
y[1] (analytic) = -7.6658305023680975066319459895385
y[1] (numeric) = -7.6658305021954382174692877446115
absolute error = 1.726592891626582449270e-10
relative error = 2.2523233341686987758111992102570e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.841
Order of pole = 0.3256
x[1] = -0.435
y[1] (analytic) = -7.664416801402674344651615815892
y[1] (numeric) = -7.6644168012294739051585952649398
absolute error = 1.732004394930205509522e-10
relative error = 2.2597993295631172552595122062644e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.84
Order of pole = 0.3256
x[1] = -0.434
y[1] (analytic) = -7.6630032016848281040997806382998
y[1] (numeric) = -7.6630032015110861422742098025099
absolute error = 1.737419618255708357899e-10
relative error = 2.2672829079253290166670334162869e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.84
Order of pole = 0.3257
x[1] = -0.433
y[1] (analytic) = -7.6615897032161836505748471291761
y[1] (numeric) = -7.6615897030418997943624920702644
absolute error = 1.742838562123550589117e-10
relative error = 2.2747740738347571269903834684053e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.84
Order of pole = 0.3257
x[1] = -0.432
y[1] (analytic) = -7.6601763059983669659035551841586
y[1] (numeric) = -7.6601763058235408431980958292637
absolute error = 1.748261227054593548949e-10
relative error = 2.2822728318741209034049405214989e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.84
Order of pole = 0.3257
x[1] = -0.431
y[1] (analytic) = -7.6587630100330051482972876246421
y[1] (numeric) = -7.6587630098576363869402775768703
absolute error = 1.753687613570100477718e-10
relative error = 2.2897791866294385149746594320208e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.84
Order of pole = 0.3257
x[1] = -0.43
y[1] (analytic) = -7.6573498153217264125085004881822
y[1] (numeric) = -7.6573498151458146402893268227906
absolute error = 1.759117722191736653916e-10
relative error = 2.2972931426900295866765175424272e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.84
Order of pole = 0.3257
x[1] = -0.429
y[1] (analytic) = -7.6559367218661600899872739498732
y[1] (numeric) = -7.655936721689704934643116996078
absolute error = 1.764551553441569537952e-10
relative error = 2.3048147046485178057857732372496e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=129.7MB, alloc=4.5MB, time=14.17
Complex estimate of poles used
Radius of convergence = 9.84
Order of pole = 0.3257
x[1] = -0.428
y[1] (analytic) = -7.6545237296679366290379839178392
y[1] (numeric) = -7.6545237294909377182537770262375
absolute error = 1.769989107842068916017e-10
relative error = 2.3123438771008335306086353473543e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.839
Order of pole = 0.3258
x[1] = -0.427
y[1] (analytic) = -7.6531108387286875949760943460229
y[1] (numeric) = -7.6531108385511445563844836416129
absolute error = 1.775430385916107044100e-10
relative error = 2.3198806646462164016090270178443e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.839
Order of pole = 0.3258
x[1] = -0.426
y[1] (analytic) = -7.6516980490500456702850703074858
y[1] (numeric) = -7.6516980488719581314663744282746
absolute error = 1.780875388186958792112e-10
relative error = 2.3274250718872179548755644097841e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.839
Order of pole = 0.3258
x[1] = -0.425
y[1] (analytic) = -7.6502853606336446547734118714798
y[1] (numeric) = -7.6502853604550122432555816926653
absolute error = 1.786324115178301788145e-10
relative error = 2.3349771034297042379662899049540e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.839
Order of pole = 0.3258
x[1] = -0.424
y[1] (analytic) = -7.6488727734811194657318088275861
y[1] (numeric) = -7.6488727733019418089903871712993
absolute error = 1.791776567414216562868e-10
relative error = 2.3425367638828584281360694489917e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.839
Order of pole = 0.3258
x[1] = -0.423
y[1] (analytic) = -7.6474602875941061380904163002545
y[1] (numeric) = -7.6474602874143828635484976308503
absolute error = 1.797232745419186694042e-10
relative error = 2.3501040578591834529254174938123e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.839
Order of pole = 0.3258
x[1] = -0.422
y[1] (analytic) = -7.646047902974241824576251297117
y[1] (numeric) = -7.6460479027939725596044414020003
absolute error = 1.802692649718098951167e-10
relative error = 2.3576789899745046131300244809857e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.839
Order of pole = 0.3258
x[1] = -0.421
y[1] (analytic) = -7.6446356196231647958707102344881
y[1] (numeric) = -7.6446356194423491677870858904623
absolute error = 1.808156280836243440258e-10
relative error = 2.3652615648479722081493596354221e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.838
Order of pole = 0.3259
x[1] = -0.42
y[1] (analytic) = -7.6432234375425144407672074835021
y[1] (numeric) = -7.6432234373611520768372761086264
absolute error = 1.813623639299313748757e-10
relative error = 2.3728517871020641637258019608862e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.838
Order of pole = 0.3259
x[1] = -0.419
y[1] (analytic) = -7.6418113567339312663289349803752
y[1] (numeric) = -7.6418113565520217937655942713196
absolute error = 1.819094725633407090556e-10
relative error = 2.3804496613625886620438934132182e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.838
Order of pole = 0.3259
x[1] = -0.418
y[1] (analytic) = -7.6403993771990568980467429443242
y[1] (numeric) = -7.6403993770165999440102404992072
absolute error = 1.824569540365024451170e-10
relative error = 2.3880551922586867742430275665773e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=133.5MB, alloc=4.5MB, time=14.60
Complex estimate of poles used
Radius of convergence = 9.838
Order of pole = 0.3259
x[1] = -0.417
y[1] (analytic) = -7.6389874989395340799971417467057
y[1] (numeric) = -7.6389874987565292715950346734022
absolute error = 1.830048084021070733035e-10
relative error = 2.3956683844228350953131842296393e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.838
Order of pole = 0.3259
x[1] = -0.416
y[1] (analytic) = -7.6375757219570066750004249749811
y[1] (numeric) = -7.6375757217734536392875394848897
absolute error = 1.835530357128854900914e-10
relative error = 2.4032892424908483813537490864284e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.838
Order of pole = 0.3259
x[1] = -0.415
y[1] (analytic) = -7.6361640462531196647789137351563
y[1] (numeric) = -7.6361640460690180287573047224097
absolute error = 1.841016360216090127466e-10
relative error = 2.4109177711018821892697151341739e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.837
Order of pole = 0.326
x[1] = -0.414
y[1] (analytic) = -7.6347524718295191501153222363754
y[1] (numeric) = -7.6347524716448685407342328424828
absolute error = 1.846506093810893938926e-10
relative error = 2.4185539748984355188395230133850e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.837
Order of pole = 0.326
x[1] = -0.413
y[1] (analytic) = -7.6333409986878523510112447013914
y[1] (numeric) = -7.6333409985026523951670658653007
absolute error = 1.851999558441788360907e-10
relative error = 2.4261978585263534571712317611560e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.837
Order of pole = 0.326
x[1] = -0.412
y[1] (analytic) = -7.6319296268297676068457636466788
y[1] (numeric) = -7.6319296266440179313819936402434
absolute error = 1.857496754637700064354e-10
relative error = 2.4338494266348298255886306639361e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.837
Order of pole = 0.326
x[1] = -0.411
y[1] (analytic) = -7.6305183562569143765341795759832
y[1] (numeric) = -7.6305183560706146082413835248227
absolute error = 1.862997682927960511605e-10
relative error = 2.4415086838764098288906739685429e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.837
Order of pole = 0.326
x[1] = -0.41
y[1] (analytic) = -7.6291071869709432386868621311526
y[1] (numeric) = -7.6291071867840930043026315208921
absolute error = 1.868502343842306102605e-10
relative error = 2.4491756349069927070468154615358e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.837
Order of pole = 0.326
x[1] = -0.409
y[1] (analytic) = -7.6276961189735058917682227441236
y[1] (numeric) = -7.627696118786104817977134912001
absolute error = 1.874010737910878321226e-10
relative error = 2.4568502843858343892689874772125e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.837
Order of pole = 0.3261
x[1] = -0.408
y[1] (analytic) = -7.626285152266255154255808833984
y[1] (numeric) = -7.6262851520783028676893864458106
absolute error = 1.879522865664223881734e-10
relative error = 2.4645326369755501505162705959437e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.836
Order of pole = 0.3261
x[1] = -0.407
y[1] (analytic) = -7.6248742868508449647995195930662
y[1] (numeric) = -7.6248742866623410920361901055278
absolute error = 1.885038727633294875384e-10
relative error = 2.4722226973421172704096924766566e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=137.3MB, alloc=4.5MB, time=15.03
Complex estimate of poles used
Radius of convergence = 9.836
Order of pole = 0.3261
x[1] = -0.406
y[1] (analytic) = -7.6234635227289303823809434060669
y[1] (numeric) = -7.6234635225398745499459985143532
absolute error = 1.890558324349448917137e-10
relative error = 2.4799204701548776945516125016059e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.836
Order of pole = 0.3261
x[1] = -0.405
y[1] (analytic) = -7.622052859902167586472816946228
y[1] (numeric) = -7.6220528597125594208383720169767
absolute error = 1.896081656344449292513e-10
relative error = 2.4876259600865406982703793811810e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.836
Order of pole = 0.3261
x[1] = -0.404
y[1] (analytic) = -7.6206422983722138771986059926536
y[1] (numeric) = -7.6206422981820530047835594821954
absolute error = 1.901608724150465104582e-10
relative error = 2.4953391718131855527952318242307e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.836
Order of pole = 0.3261
x[1] = -0.403
y[1] (analytic) = -7.6192318381407276754922080128732
y[1] (numeric) = -7.6192318379500137226622008707662
absolute error = 1.907139528300071421070e-10
relative error = 2.5030601100142641938336070540125e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.836
Order of pole = 0.3262
x[1] = -0.402
y[1] (analytic) = -7.6178214792093685232577765548057
y[1] (numeric) = -7.6178214790181011163251516126453
absolute error = 1.912674069326249421604e-10
relative error = 2.5107887793726038925846771704000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.835
Order of pole = 0.3262
x[1] = -0.401
y[1] (analytic) = -7.6164112215797970835296674923144
y[1] (numeric) = -7.6164112213879758487534288378054
absolute error = 1.918212347762386545090e-10
relative error = 2.5185251845744099291835938551891e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.835
Order of pole = 0.3262
x[1] = -0.4
y[1] (analytic) = -7.6150010652536751406325071685835
y[1] (numeric) = -7.6150010650612997042182795048617
absolute error = 1.923754364142276637218e-10
relative error = 2.5262693303092682685709127563306e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.835
Order of pole = 0.3262
x[1] = -0.399
y[1] (analytic) = -7.6135910102326656003413824815861
y[1] (numeric) = -7.6135910100397355884413704717762
absolute error = 1.929300119000120098099e-10
relative error = 2.5340212212701482387961075604221e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.835
Order of pole = 0.3262
x[1] = -0.398
y[1] (analytic) = -7.6121810565184324900421529559521
y[1] (numeric) = -7.6121810563249475287551005529487
absolute error = 1.934849612870524030034e-10
relative error = 2.5417808621534052117575275652202e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.835
Order of pole = 0.3262
x[1] = -0.397
y[1] (analytic) = -7.6107712041126409588918848455846
y[1] (numeric) = -7.6107712039186006742630346070439
absolute error = 1.940402846288502385407e-10
relative error = 2.5495482576587832863706436496125e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.835
Order of pole = 0.3263
x[1] = -0.396
y[1] (analytic) = -7.6093614530169572779794073114131
y[1] (numeric) = -7.6093614528223612960004596999409
absolute error = 1.945959819789476114722e-10
relative error = 2.5573234124894179741932112463160e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.835
Order of pole = 0.3263
x[1] = -0.395
y[1] (analytic) = -7.6079518032330488404859907187095
y[1] (numeric) = -7.6079518030378967870950633872333
memory used=141.1MB, alloc=4.5MB, time=15.45
absolute error = 1.951520533909273314762e-10
relative error = 2.5651063313518388874808149787993e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.834
Order of pole = 0.3263
x[1] = -0.394
y[1] (analytic) = -7.6065422547625841618461470984331
y[1] (numeric) = -7.6065422545668756629277341607451
absolute error = 1.957084989184129376880e-10
relative error = 2.5728970189559724296882883419016e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.834
Order of pole = 0.3263
x[1] = -0.393
y[1] (analytic) = -7.6051328076072328799085528171116
y[1] (numeric) = -7.6051328074109675612934841035692
absolute error = 1.962653186150687135424e-10
relative error = 2.5806954800151444884220045810726e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.834
Order of pole = 0.3263
x[1] = -0.392
y[1] (analytic) = -7.6037234617686657550970934998016
y[1] (numeric) = -7.6037234615718432425624937981727
absolute error = 1.968225125345997016289e-10
relative error = 2.5885017192460831308362050370310e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.834
Order of pole = 0.3263
x[1] = -0.391
y[1] (analytic) = -7.6023142172485546705720312507149
y[1] (numeric) = -7.6023142170511745898412795321539
absolute error = 1.973800807307517185610e-10
relative error = 2.5963157413689213014941432638320e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.834
Order of pole = 0.3264
x[1] = -0.39
y[1] (analytic) = -7.6009050740485726323912942161332
y[1] (numeric) = -7.6009050738506346091339828462756
absolute error = 1.979380232573113698576e-10
relative error = 2.6041375511071995226701215402222e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.834
Order of pole = 0.3264
x[1] = -0.389
y[1] (analytic) = -7.5994960321703937696718885342756
y[1] (numeric) = -7.5994960319718974295037824694373
absolute error = 1.984963401681060648383e-10
relative error = 2.6119671531878685971184632263426e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.833
Order of pole = 0.3264
x[1] = -0.388
y[1] (analytic) = -7.5980870916156933347514327168211
y[1] (numeric) = -7.5980870914166383032344286852903
absolute error = 1.990550315170040315308e-10
relative error = 2.6198045523412923132881217164581e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.833
Order of pole = 0.3264
x[1] = -0.387
y[1] (analytic) = -7.5966782523861477033498145068312
y[1] (numeric) = -7.5966782521865336059919001752375
absolute error = 1.996140973579143315937e-10
relative error = 2.6276497533012501530287287444017e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.833
Order of pole = 0.3264
x[1] = -0.386
y[1] (analytic) = -7.5952695144834343747309702578507
y[1] (numeric) = -7.5952695142832608369861833826009
absolute error = 2.001735377447868752498e-10
relative error = 2.6355027608049400017259898331932e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.833
Order of pole = 0.3264
x[1] = -0.385
y[1] (analytic) = -7.5938608779092319718647868790118
y[1] (numeric) = -7.593860877708498619133174442778
absolute error = 2.007333527316124362338e-10
relative error = 2.6433635795929808609201246094900e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.833
Order of pole = 0.3265
x[1] = -0.384
y[1] (analytic) = -7.5924523426652202415891263910037
y[1] (numeric) = -7.5924523424639266992167037242486
absolute error = 2.012935423724226667551e-10
relative error = 2.6512322144094155634189812923090e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=144.9MB, alloc=4.5MB, time=15.88
Complex estimate of poles used
Radius of convergence = 9.833
Order of pole = 0.3265
x[1] = -0.383
y[1] (analytic) = -7.5910439087530800547719731378031
y[1] (numeric) = -7.5910439085512259480506830253334
absolute error = 2.018541067212901124697e-10
relative error = 2.6591086700017134908292090148312e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.832
Order of pole = 0.3265
x[1] = -0.382
y[1] (analytic) = -7.5896355761744934064737036991138
y[1] (numeric) = -7.5896355759720783606413754716451
absolute error = 2.024150458323282274687e-10
relative error = 2.6669929511207732936066310444137e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.832
Order of pole = 0.3265
x[1] = -0.381
y[1] (analytic) = -7.5882273449311434161094795484913
y[1] (numeric) = -7.5882273447281670563497881592116
absolute error = 2.029763597596913892797e-10
relative error = 2.6748850625209256135795140910289e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.832
Order of pole = 0.3265
x[1] = -0.38
y[1] (analytic) = -7.586819215024714327611762502172
y[1] (numeric) = -7.5868192148211762790541875882931
absolute error = 2.035380485575749138789e-10
relative error = 2.6827850089599358089181302505372e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.832
Order of pole = 0.3265
x[1] = -0.379
y[1] (analytic) = -7.5854111864568915095929530036711
y[1] (numeric) = -7.585411186252791397312737932951
absolute error = 2.041001122802150707201e-10
relative error = 2.6906927951990066816347065073998e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.832
Order of pole = 0.3266
x[1] = -0.378
y[1] (analytic) = -7.5840032592293614555081512892445
y[1] (numeric) = -7.5840032590246989045262621914702
absolute error = 2.046625509818890977743e-10
relative error = 2.6986084260027812075331600167175e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.832
Order of pole = 0.3266
x[1] = -0.377
y[1] (analytic) = -7.5825954333438117838180414793557
y[1] (numeric) = -7.582595433138586419101126262773
absolute error = 2.052253647169152165827e-10
relative error = 2.7065319061393452686479083173726e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.832
Order of pole = 0.3266
x[1] = -0.376
y[1] (analytic) = -7.5811877088019312381518986413296
y[1] (numeric) = -7.5811877085961426846122459940042
absolute error = 2.057885535396526473254e-10
relative error = 2.7144632403802303882045057228003e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.831
Order of pole = 0.3266
x[1] = -0.375
y[1] (analytic) = -7.579780085605409687470718868407
y[1] (numeric) = -7.5797800853990575699662172445069
absolute error = 2.063521175045016239001e-10
relative error = 2.7224024335004164680293608226597e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.831
Order of pole = 0.3266
x[1] = -0.374
y[1] (analytic) = -7.5783725637559381262304724204642
y[1] (numeric) = -7.5783725635490220695645690114477
absolute error = 2.069160566659034090165e-10
relative error = 2.7303494902783345284861089934247e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.831
Order of pole = 0.3266
x[1] = -0.373
y[1] (analytic) = -7.5769651432552086745454799716935
y[1] (numeric) = -7.5769651430477283034671396623903
absolute error = 2.074803710783403093032e-10
relative error = 2.7383044154958694508988668169073e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=148.7MB, alloc=4.5MB, time=16.31
Complex estimate of poles used
Radius of convergence = 9.831
Order of pole = 0.3267
x[1] = -0.372
y[1] (analytic) = -7.5755578241049145783519120105838
y[1] (numeric) = -7.5755578238968695175555763201567
absolute error = 2.080450607963356904271e-10
relative error = 2.7462672139383627224647762836619e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.831
Order of pole = 0.3267
x[1] = -0.371
y[1] (analytic) = -7.5741506063067502095714114375815
y[1] (numeric) = -7.5741506060981400836969574453537
absolute error = 2.086101258744539922278e-10
relative error = 2.7542378903946151836912562268552e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.831
Order of pole = 0.3267
x[1] = -0.37
y[1] (analytic) = -7.5727434898624110662748394058491
y[1] (numeric) = -7.5727434896532354999075386619853
absolute error = 2.091755663673007438638e-10
relative error = 2.7622164496568897783181601206598e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.83
Order of pole = 0.3267
x[1] = -0.369
y[1] (analytic) = -7.5713364747735937728461444505812
y[1] (numeric) = -7.5713364745638523905166218716078
absolute error = 2.097413823295225789734e-10
relative error = 2.7702028965209143057655461974703e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.83
Order of pole = 0.3267
x[1] = -0.368
y[1] (analytic) = -7.5699295610419960801463549523755
y[1] (numeric) = -7.5699295608316885063305477015279
absolute error = 2.103075738158072508476e-10
relative error = 2.7781972357858841760738484394911e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.83
Order of pole = 0.3268
x[1] = -0.367
y[1] (analytic) = -7.5685227486693168656776949801992
y[1] (numeric) = -7.5685227484584427247968113325823
absolute error = 2.108741408808836476169e-10
relative error = 2.7861994722544651673639646297523e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.83
Order of pole = 0.3268
x[1] = -0.366
y[1] (analytic) = -7.5671160376572561337478235595291
y[1] (numeric) = -7.5671160374458150501683017520768
absolute error = 2.114410835795218074523e-10
relative error = 2.7942096107327961858236734351613e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.83
Order of pole = 0.3268
x[1] = -0.365
y[1] (analytic) = -7.5657094280075150156341974112835
y[1] (numeric) = -7.5657094277955066136676644775057
absolute error = 2.120084019665329337778e-10
relative error = 2.8022276560304920281871484116782e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.83
Order of pole = 0.3268
x[1] = -0.364
y[1] (analytic) = -7.5643029197217957697485572072074
y[1] (numeric) = -7.5643029195092196736517877967088
absolute error = 2.125760960967694104986e-10
relative error = 2.8102536129606461467655042823776e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.829
Order of pole = 0.3268
x[1] = -0.363
y[1] (analytic) = -7.5628965128018017818015373874073
y[1] (numeric) = -7.5628965125886576157764125701668
absolute error = 2.131441660251248172405e-10
relative error = 2.8182874863398334169713607217300e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.829
Order of pole = 0.3268
x[1] = -0.362
y[1] (analytic) = -7.5614902072492375649673995857783
y[1] (numeric) = -7.561490207035524953160865641174
absolute error = 2.137126118065339446043e-10
relative error = 2.8263292809881129073900897337106e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=152.5MB, alloc=4.5MB, time=16.73
Complex estimate of poles used
Radius of convergence = 9.829
Order of pole = 0.3269
x[1] = -0.361
y[1] (analytic) = -7.5600840030658087600488897091002
y[1] (numeric) = -7.5600840028515273265529168996676
absolute error = 2.142814334959728094326e-10
relative error = 2.8343790017290306523658349186059e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.829
Order of pole = 0.3269
x[1] = -0.36
y[1] (analytic) = -7.5586779002532221356422187156251
y[1] (numeric) = -7.5586779000383715044937600455345
absolute error = 2.148506311484586700906e-10
relative error = 2.8424366533896224271259076677118e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.829
Order of pole = 0.3269
x[1] = -0.359
y[1] (analytic) = -7.557271898813185588302167139016
y[1] (numeric) = -7.5572718985977653834831170972554
absolute error = 2.154202048190500417606e-10
relative error = 2.8505022408004165254420580846292e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.829
Order of pole = 0.3269
x[1] = -0.358
y[1] (analytic) = -7.555865998747408142707313403534
y[1] (numeric) = -7.5558659985314179881444666917859
absolute error = 2.159901545628467117481e-10
relative error = 2.8585757687954365398032926101425e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.829
Order of pole = 0.3269
x[1] = -0.357
y[1] (analytic) = -7.5544602000575999518253859764212
y[1] (numeric) = -7.5544601998410394713903962216169
absolute error = 2.165604804349897548043e-10
relative error = 2.8666572422122041441662083576489e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.828
Order of pole = 0.3269
x[1] = -0.356
y[1] (analytic) = -7.5530545027454722970787394034539
y[1] (numeric) = -7.5530545025283411145880778549944
absolute error = 2.171311824906615484595e-10
relative error = 2.8747466658917418792125426914361e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.828
Order of pole = 0.327
x[1] = -0.355
y[1] (analytic) = -7.5516489068127375885099542736913
y[1] (numeric) = -7.5516489065950353277248684853202
absolute error = 2.177022607850857883711e-10
relative error = 2.8828440446785759401653585448277e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.828
Order of pole = 0.327
x[1] = -0.354
y[1] (analytic) = -7.5502434122611093649475611594807
y[1] (numeric) = -7.550243412042835649574033655796
absolute error = 2.182737153735275036847e-10
relative error = 2.8909493834207389671464895752058e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.828
Order of pole = 0.327
x[1] = -0.353
y[1] (analytic) = -7.5488380190923022941718885778219
y[1] (numeric) = -7.5488380188734567478605955054126
absolute error = 2.188455463112930724093e-10
relative error = 2.8990626869697728380909600089944e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.828
Order of pole = 0.327
x[1] = -0.352
y[1] (analytic) = -7.5474327273080321730810350192328
y[1] (numeric) = -7.5474327270886144194273047824273
absolute error = 2.194177536537302368055e-10
relative error = 2.9071839601807314642062923691462e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.828
Order of pole = 0.327
x[1] = -0.351
y[1] (analytic) = -7.5460275369100159278569650902997
y[1] (numeric) = -7.5460275366900255904007369715127
absolute error = 2.199903374562281187870e-10
relative error = 2.9153132079121835879831500353959e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.827
Order of pole = 0.3271
memory used=156.4MB, alloc=4.5MB, time=17.15
x[1] = -0.35
y[1] (analytic) = -7.5446224478999716141317298161356
y[1] (numeric) = -7.5446224476794083163575125808003
absolute error = 2.205632977742172353353e-10
relative error = 2.9234504350262155837584683633521e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.827
Order of pole = 0.3271
x[1] = -0.349
y[1] (analytic) = -7.543217460279618417153811149013
y[1] (numeric) = -7.5432174600584817824906416350833
absolute error = 2.211366346631695139297e-10
relative error = 2.9315956463884342608613940383547e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.827
Order of pole = 0.3271
x[1] = -0.348
y[1] (analytic) = -7.5418125740506766519545907294721
y[1] (numeric) = -7.5418125738289663037759924214834
absolute error = 2.217103481785983079887e-10
relative error = 2.9397488468679696692928400081710e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.827
Order of pole = 0.3271
x[1] = -0.347
y[1] (analytic) = -7.5404077892148677635149429462531
y[1] (numeric) = -7.5404077889925833251388845339272
absolute error = 2.222844383760584123259e-10
relative error = 2.9479100413374779079822221418421e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.827
Order of pole = 0.3271
x[1] = -0.346
y[1] (analytic) = -7.5390031057739143269319523414366
y[1] (numeric) = -7.5390031055510554216208062628173
absolute error = 2.228589053111460786193e-10
relative error = 2.9560792346731439356092973802464e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.827
Order of pole = 0.3271
x[1] = -0.345
y[1] (analytic) = -7.5375985237295400475857554072196
y[1] (numeric) = -7.5375985235061062985462563763252
absolute error = 2.234337490394990308944e-10
relative error = 2.9642564317546843839989043190304e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.826
Order of pole = 0.3272
x[1] = -0.344
y[1] (analytic) = -7.5361940430834697613065068207942
y[1] (numeric) = -7.5361940428594607916897103397736
absolute error = 2.240089696167964810206e-10
relative error = 2.9724416374653503740844753779647e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.826
Order of pole = 0.3272
x[1] = -0.343
y[1] (analytic) = -7.5347896638374294345414701638359
y[1] (numeric) = -7.5347896636128448674427110196151
absolute error = 2.245845670987591442208e-10
relative error = 2.9806348566919303344414912068227e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.826
Order of pole = 0.3272
x[1] = -0.342
y[1] (analytic) = -7.5333853859931461645222331731518
y[1] (numeric) = -7.5333853857679856229810839185563
absolute error = 2.251605415411492545955e-10
relative error = 2.9888360943247528224106326144902e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.826
Order of pole = 0.3272
x[1] = -0.341
y[1] (analytic) = -7.5319812095523481794320475690762
y[1] (numeric) = -7.5319812093266112864322769884166
absolute error = 2.257368929997705806596e-10
relative error = 2.9970453552576893477892558896386e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.826
Order of pole = 0.3272
x[1] = -0.34
y[1] (analytic) = -7.530577134516764838573293508245
y[1] (numeric) = -7.5305771342904512170428250673518
absolute error = 2.263136215304684408932e-10
relative error = 3.0052626443881571991109499432005e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.826
Order of pole = 0.3273
x[1] = -0.339
y[1] (analytic) = -7.5291731608881266325350687074191
y[1] (numeric) = -7.529173160661235905345938988113
absolute error = 2.268907271891297193061e-10
relative error = 3.0134879666171222725117114521857e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
memory used=160.2MB, alloc=4.5MB, time=17.57
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.826
Order of pole = 0.3273
x[1] = -0.338
y[1] (analytic) = -7.5277692886681651833609022850682
y[1] (numeric) = -7.527769288440696973329219404053
absolute error = 2.274682100316828810152e-10
relative error = 3.0217213268491019031746288664659e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.825
Order of pole = 0.3273
x[1] = -0.337
y[1] (analytic) = -7.5263655178586132447165933674687
y[1] (numeric) = -7.5263655176305671746024953796318
absolute error = 2.280460701140979878369e-10
relative error = 3.0299627299921676993834841945334e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.825
Order of pole = 0.3273
x[1] = -0.336
y[1] (analytic) = -7.5249618484612047020581745061068
y[1] (numeric) = -7.5249618482325803945657877922154
absolute error = 2.286243074923867138914e-10
relative error = 3.0382121809579483791466224653993e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.825
Order of pole = 0.3273
x[1] = -0.335
y[1] (analytic) = -7.5235582804776745727999999532233
y[1] (numeric) = -7.5235582802484716505773975920014
absolute error = 2.292029222226023612219e-10
relative error = 3.0464696846616326094334586683420e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.825
Order of pole = 0.3273
x[1] = -0.334
y[1] (analytic) = -7.5221548139097590064829588423747
y[1] (numeric) = -7.5221548136799770921221189669473
absolute error = 2.297819143608398754274e-10
relative error = 3.0547352460219718480088896887764e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.825
Order of pole = 0.3274
x[1] = -0.333
y[1] (analytic) = -7.5207514487591952849428133209249
y[1] (numeric) = -7.5207514485288340009795774596166
absolute error = 2.303612839632358613083e-10
relative error = 3.0630088699612831878575039668668e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.825
Order of pole = 0.3274
x[1] = -0.332
y[1] (analytic) = -7.5193481850277218224786616814262
y[1] (numeric) = -7.5193481847967807913926930829004
absolute error = 2.309410310859685985258e-10
relative error = 3.0712905614054522042134066810599e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.824
Order of pole = 0.3274
x[1] = -0.331
y[1] (analytic) = -7.5179450227170781660215265388886
y[1] (numeric) = -7.517945022485557010236268481612
absolute error = 2.315211557852580572766e-10
relative error = 3.0795803252839358042181515674586e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.824
Order of pole = 0.3274
x[1] = -0.33
y[1] (analytic) = -7.5165419618290049953030681009731
y[1] (numeric) = -7.5165419615969033371857021869944
absolute error = 2.321016581173659139787e-10
relative error = 3.0878781665297650791534702590931e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.824
Order of pole = 0.3274
x[1] = -0.329
y[1] (analytic) = -7.5151390023652441230244225781921
y[1] (numeric) = -7.5151390021325615848858270112194
absolute error = 2.326825381385955669727e-10
relative error = 3.0961840900795481593098450096079e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.824
Order of pole = 0.3275
x[1] = -0.328
y[1] (analytic) = -7.5137361443275384950251657812376
y[1] (numeric) = -7.5137361440942746991198736290008
absolute error = 2.332637959052921522368e-10
relative error = 3.1044981008734730714695452479398e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=164.0MB, alloc=4.5MB, time=18.00
Complex estimate of poles used
Radius of convergence = 9.824
Order of pole = 0.3275
x[1] = -0.327
y[1] (analytic) = -7.5123333877176321904524019525966
y[1] (numeric) = -7.5123333874837867589785593934829
absolute error = 2.338454314738425591137e-10
relative error = 3.1128202038553105989827153917571e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.824
Order of pole = 0.3275
x[1] = -0.326
y[1] (analytic) = -7.5109307325372704219299778796622
y[1] (numeric) = -7.5109307323028429770293024336083
absolute error = 2.344274449006754460539e-10
relative error = 3.1211504039724171444989460373570e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.823
Order of pole = 0.3275
x[1] = -0.325
y[1] (analytic) = -7.5095281787881995357278223365796
y[1] (numeric) = -7.5095281785531896994855610802091
absolute error = 2.350098362422612563705e-10
relative error = 3.1294887061757375952916785522022e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.823
Order of pole = 0.3275
x[1] = -0.324
y[1] (analytic) = -7.5081257264721670119314109021159
y[1] (numeric) = -7.5081257262365744063762986681074
absolute error = 2.355926055551122340085e-10
relative error = 3.1378351154198081912179177219888e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.823
Order of pole = 0.3275
x[1] = -0.323
y[1] (analytic) = -7.5067233755909214646113562008804
y[1] (numeric) = -7.506723375354745711715573761552
absolute error = 2.361757528957824393284e-10
relative error = 3.1461896366627593953131610634743e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.823
Order of pole = 0.3276
x[1] = -0.322
y[1] (analytic) = -7.5053211261462126419931236152615
y[1] (numeric) = -7.505321125909453363672255850359
absolute error = 2.367592783208677649025e-10
relative error = 3.1545522748663187670027987622421e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.823
Order of pole = 0.3276
x[1] = -0.321
y[1] (analytic) = -7.5039189781397914266268725154925
y[1] (numeric) = -7.5039189779024482447398665641664
absolute error = 2.373431818870059513261e-10
relative error = 3.1629230349958138379618492944106e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.823
Order of pole = 0.3276
x[1] = -0.32
y[1] (analytic) = -7.5025169315734098355574230552935
y[1] (numeric) = -7.5025169313354823719065464522525
absolute error = 2.379274636508766030410e-10
relative error = 3.1713019220201749905909638240233e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.822
Order of pole = 0.3276
x[1] = -0.319
y[1] (analytic) = -7.5011149864488210204943485805855
y[1] (numeric) = -7.5011149862103088968251473764108
absolute error = 2.385121236692012041747e-10
relative error = 3.1796889409119383391565715414297e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.822
Order of pole = 0.3276
x[1] = -0.318
y[1] (analytic) = -7.4997131427677792679821936988053
y[1] (numeric) = -7.4997131425286821059834505644142
absolute error = 2.390971619987431343911e-10
relative error = 3.1880840966472486135417714075203e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.822
Order of pole = 0.3276
x[1] = -0.317
y[1] (analytic) = -7.498311400532039999570818056401
y[1] (numeric) = -7.4983114002923574208745103716434
absolute error = 2.396825786963076847576e-10
relative error = 3.1964873942058620456758554772417e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=167.8MB, alloc=4.5MB, time=18.41
Complex estimate of poles used
Radius of convergence = 9.822
Order of pole = 0.3277
x[1] = -0.316
y[1] (analytic) = -7.4969097597433597719858658721188
y[1] (numeric) = -7.4969097595030913981671237984955
absolute error = 2.402683738187420736233e-10
relative error = 3.2048988385711492585743933764481e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.822
Order of pole = 0.3277
x[1] = -0.315
y[1] (analytic) = -7.4955082204034962772993612737433
y[1] (numeric) = -7.4955082201626417298764258112301
absolute error = 2.408545474229354625132e-10
relative error = 3.2133184347300981580577860794896e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.822
Order of pole = 0.3277
x[1] = -0.314
y[1] (analytic) = -7.4941067825142083431004294859872
y[1] (numeric) = -7.4941067822727672435346105139523
absolute error = 2.414410995658189720349e-10
relative error = 3.2217461876733168271042095774892e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.821
Order of pole = 0.3277
x[1] = -0.313
y[1] (analytic) = -7.4927054460772559326661439172716
y[1] (numeric) = -7.4927054458352279023617782194721
absolute error = 2.420280303043656977995e-10
relative error = 3.2301821023950364228622028056951e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.821
Order of pole = 0.3277
x[1] = -0.312
y[1] (analytic) = -7.4913042110944001451324991931804
y[1] (numeric) = -7.4913042108517848054369084668231
absolute error = 2.426153396955907263573e-10
relative error = 3.2386261838931140763335072110201e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.821
Order of pole = 0.3278
x[1] = -0.311
y[1] (analytic) = -7.4899030775674032156655101844083
y[1] (numeric) = -7.4899030773242001878689590332634
absolute error = 2.432030277965511511449e-10
relative error = 3.2470784371690357946833748890364e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.821
Order of pole = 0.3278
x[1] = -0.31
y[1] (analytic) = -7.4885020454980285156324370770727
y[1] (numeric) = -7.4885020452542374209680909886234
absolute error = 2.437910946643460884493e-10
relative error = 3.2555388672279193662556813344634e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.821
Order of pole = 0.3278
x[1] = -0.309
y[1] (analytic) = -7.4871011148880405527731365332903
y[1] (numeric) = -7.4871011146436610124170198399074
absolute error = 2.443795403561166933829e-10
relative error = 3.2640074790785172682140247701195e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.821
Order of pole = 0.3278
x[1] = -0.308
y[1] (analytic) = -7.4857002857392049713715389899725
y[1] (numeric) = -7.4857002854942366064424928140974
absolute error = 2.449683649290461758751e-10
relative error = 3.2724842777332195768875087915279e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.82
Order of pole = 0.3278
x[1] = -0.307
y[1] (analytic) = -7.4842995580532885524272521438233
y[1] (numeric) = -7.4842995578077309839868923271483
absolute error = 2.455575684403598166750e-10
relative error = 3.2809692682080568807503752057102e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.82
Order of pole = 0.3278
x[1] = -0.306
y[1] (analytic) = -7.482898931832059213827290670577
y[1] (numeric) = -7.4828989315859120628799656872061
absolute error = 2.461471509473249833709e-10
relative error = 3.2894624555227031961142213741255e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=171.6MB, alloc=4.5MB, time=18.83
Complex estimate of poles used
Radius of convergence = 9.82
Order of pole = 0.3279
x[1] = -0.305
y[1] (analytic) = -7.4814984070772860105179322265435
y[1] (numeric) = -7.4814984068305488980106810801227
absolute error = 2.467371125072511464208e-10
relative error = 3.2979638447004788854579406695459e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.82
Order of pole = 0.3279
x[1] = -0.304
y[1] (analytic) = -7.4800979837907391346766997805808
y[1] (numeric) = -7.4800979835434116814992098853815
absolute error = 2.473274531774898951993e-10
relative error = 3.3064734407683535784701420728556e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.82
Order of pole = 0.3279
x[1] = -0.303
y[1] (analytic) = -7.478697661974189915884470324648
y[1] (numeric) = -7.4786976617262717428690353705908
absolute error = 2.479181730154349540572e-10
relative error = 3.3149912487569490957572368854117e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.82
Order of pole = 0.3279
x[1] = -0.302
y[1] (analytic) = -7.4772974416294108212977100111378
y[1] (numeric) = -7.4772974413809015492191878127432
absolute error = 2.485092720785221983946e-10
relative error = 3.3235172737005423752304914562367e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.82
Order of pole = 0.3279
x[1] = -0.301
y[1] (analytic) = -7.4758973227581754558208357652301
y[1] (numeric) = -7.4758973225090747053966060944814
absolute error = 2.491007504242296707487e-10
relative error = 3.3320515206370684011907141754258e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.819
Order of pole = 0.328
x[1] = -0.3
y[1] (analytic) = -7.474497305362258562278703420548
y[1] (numeric) = -7.4744973051125659541686258236519
absolute error = 2.496926081100775968961e-10
relative error = 3.3405939946081231361105414949687e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.819
Order of pole = 0.328
x[1] = -0.299
y[1] (analytic) = -7.4730973894434360215892224264382
y[1] (numeric) = -7.4730973891931511763955940244709
absolute error = 2.502848451936284019673e-10
relative error = 3.3491447006589664550861857729992e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.819
Order of pole = 0.328
x[1] = -0.298
y[1] (analytic) = -7.4716975750034848529360971752449
y[1] (numeric) = -7.4716975747526073912036104486681
absolute error = 2.508774617324867265768e-10
relative error = 3.3577036438385250830067523352457e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.819
Order of pole = 0.328
x[1] = -0.297
y[1] (analytic) = -7.4702978620441832139416949979818
y[1] (numeric) = -7.4702978617927127561573955550154
absolute error = 2.514704577842994429664e-10
relative error = 3.3662708291993955344116633412392e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.819
Order of pole = 0.328
x[1] = -0.296
y[1] (analytic) = -7.4688982505673104008400408768544
y[1] (numeric) = -7.4688982503152465674332852056913
absolute error = 2.520638334067556711631e-10
relative error = 3.3748462617978470560575584028715e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.819
Order of pole = 0.328
x[1] = -0.295
y[1] (analytic) = -7.4674987405746468486499389231205
y[1] (numeric) = -7.467498740321989259992352127971
absolute error = 2.526575886575867951495e-10
relative error = 3.3834299466938245721692030539975e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=175.4MB, alloc=4.5MB, time=19.26
Complex estimate of poles used
Radius of convergence = 9.818
Order of pole = 0.3281
x[1] = -0.294
y[1] (analytic) = -7.4660993320679741313482206688272
y[1] (numeric) = -7.4660993318147224077536541897772
absolute error = 2.532517235945664790500e-10
relative error = 3.3920218889509516324212237831925e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.818
Order of pole = 0.3281
x[1] = -0.293
y[1] (analytic) = -7.4647000250490749620431202209961
y[1] (numeric) = -7.4647000247952287237676095376658
absolute error = 2.538462382755106833303e-10
relative error = 3.4006220936365333626198584057925e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.818
Order of pole = 0.3281
x[1] = -0.292
y[1] (analytic) = -7.4633008195197331931477763268755
y[1] (numeric) = -7.4633008192652920603894986458651
absolute error = 2.544411327582776810104e-10
relative error = 3.4092305658215594180900402327610e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.818
Order of pole = 0.3281
x[1] = -0.291
y[1] (analytic) = -7.4619017154817338165538613989202
y[1] (numeric) = -7.4619017152266974094530933250276
absolute error = 2.550364071007680738926e-10
relative error = 3.4178473105807069397905631858330e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.818
Order of pole = 0.3281
x[1] = -0.29
y[1] (analytic) = -7.4605027129368629638053375481991
y[1] (numeric) = -7.4605027126812309024444127393963
absolute error = 2.556320613609248088028e-10
relative error = 3.4264723329923435131372154606549e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.818
Order of pole = 0.3282
x[1] = -0.289
y[1] (analytic) = -7.4591038118869079062723396749758
y[1] (numeric) = -7.4591038116306798106756064811297
absolute error = 2.562280955967331938461e-10
relative error = 3.4351056381385301295499354127282e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.817
Order of pole = 0.3282
x[1] = -0.288
y[1] (analytic) = -7.4577050123336570553251856652467
y[1] (numeric) = -7.4577050120768325454589647505707
absolute error = 2.568245098662209146760e-10
relative error = 3.4437472311050241507172710912100e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.817
Order of pole = 0.3282
x[1] = -0.287
y[1] (analytic) = -7.4563063142788999625085137420675
y[1] (numeric) = -7.4563063140214786582810556912884
absolute error = 2.574213042274580507791e-10
relative error = 3.4523971169812822756062834466812e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.817
Order of pole = 0.3282
x[1] = -0.286
y[1] (analytic) = -7.4549077177244273197155470205353
y[1] (numeric) = -7.4549077174664088409769899287632
absolute error = 2.580184787385570917721e-10
relative error = 3.4610553008604635101776630372990e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.817
Order of pole = 0.3282
x[1] = -0.285
y[1] (analytic) = -7.4535092226720309593624853153415
y[1] (numeric) = -7.4535092224134149259048123616273
absolute error = 2.586160334576729537142e-10
relative error = 3.4697217878394321398502924780615e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.817
Order of pole = 0.3282
x[1] = -0.284
y[1] (analytic) = -7.4521108291235038545630242498481
y[1] (numeric) = -7.4521108288642898861200212544161
absolute error = 2.592139684430029954320e-10
relative error = 3.4783965830187607046790380567272e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.817
Order of pole = 0.3283
x[1] = -0.283
memory used=179.2MB, alloc=4.5MB, time=19.70
y[1] (analytic) = -7.4507125370806401193030017156886
y[1] (numeric) = -7.4507125368208278355502146808274
absolute error = 2.598122837527870348612e-10
relative error = 3.4870796915027329773061334784143e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.816
Order of pole = 0.3283
x[1] = -0.282
y[1] (analytic) = -7.4493143465452350086151717319276
y[1] (numeric) = -7.4493143462848240291698643665283
absolute error = 2.604109794453073653993e-10
relative error = 3.4957711183993469436110252647777e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.816
Order of pole = 0.3283
x[1] = -0.281
y[1] (analytic) = -7.4479162575190849187541057528661
y[1] (numeric) = -7.4479162572580748631752169805913
absolute error = 2.610100555788887722748e-10
relative error = 3.5044708688203177861351556469737e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.816
Order of pole = 0.3283
x[1] = -0.28
y[1] (analytic) = -7.4465182700039873873712214736132
y[1] (numeric) = -7.4465182697423778751593229246838
absolute error = 2.616095122118985489294e-10
relative error = 3.5131789478810808702374106757537e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.816
Order of pole = 0.3283
x[1] = -0.279
y[1] (analytic) = -7.4451203840017410936899391825931
y[1] (numeric) = -7.4451203837395317442871926691788
absolute error = 2.622093494027465134143e-10
relative error = 3.5218953607007947329976790560457e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.816
Order of pole = 0.3284
x[1] = -0.278
y[1] (analytic) = -7.4437225995141458586809657101953
y[1] (numeric) = -7.4437225992513362914710806853942
absolute error = 2.628095672098850248011e-10
relative error = 3.5306201124023440748779318035060e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.816
Order of pole = 0.3284
x[1] = -0.277
y[1] (analytic) = -7.4423249165430026452377060228209
y[1] (numeric) = -7.4423249162795924795458970232138
absolute error = 2.634101656918089996071e-10
relative error = 3.5393532081123427541408401542162e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.815
Order of pole = 0.3284
x[1] = -0.276
y[1] (analytic) = -7.4409273350901135583518025116168
y[1] (numeric) = -7.4409273348261024134447465833831
absolute error = 2.640111449070559282337e-10
relative error = 3.5480946529611367840111649361110e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.815
Order of pole = 0.3284
x[1] = -0.275
y[1] (analytic) = -7.4395298551572818452888020252367
y[1] (numeric) = -7.439529854892669340374596133817
absolute error = 2.646125049142058914197e-10
relative error = 3.5568444520828073326067965740739e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.815
Order of pole = 0.3284
x[1] = -0.274
y[1] (analytic) = -7.4381324767463118957639506960082
y[1] (numeric) = -7.4381324764810976499920691192987
absolute error = 2.652142457718815767095e-10
relative error = 3.5656026106151737256421645353058e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.815
Order of pole = 0.3284
x[1] = -0.273
y[1] (analytic) = -7.4367351998590092421181166089243
y[1] (numeric) = -7.4367351995931928745793683139906
absolute error = 2.658163675387482949337e-10
relative error = 3.5743691336997964518731210552016e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.815
Order of pole = 0.3285
x[1] = -0.272
y[1] (analytic) = -7.4353380244971805594938403629281
y[1] (numeric) = -7.4353380242307616892203263662229
absolute error = 2.664188702735139967052e-10
relative error = 3.5831440264819801713276723985738e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=183.1MB, alloc=4.5MB, time=20.12
Complex estimate of poles used
Radius of convergence = 9.815
Order of pole = 0.3285
x[1] = -0.271
y[1] (analytic) = -7.4339409506626336660115135739953
y[1] (numeric) = -7.4339409503956119119765842850655
absolute error = 2.670217540349292889298e-10
relative error = 3.5919272941107767263118440410870e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.814
Order of pole = 0.3285
x[1] = -0.27
y[1] (analytic) = -7.4325439783571775229456853695636
y[1] (numeric) = -7.4325439780895525040638979182338
absolute error = 2.676250188817874513298e-10
relative error = 3.6007189417389881551732217166351e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.814
Order of pole = 0.3285
x[1] = -0.269
y[1] (analytic) = -7.4311471075826222349014969239033
y[1] (numeric) = -7.4311471073143935700285724709204
absolute error = 2.682286648729244529829e-10
relative error = 3.6095189745231697088558189845510e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.814
Order of pole = 0.3285
x[1] = -0.268
y[1] (analytic) = -7.4297503383407790499912440840618
y[1] (numeric) = -7.4297503380719463579240251151872
absolute error = 2.688326920672189688746e-10
relative error = 3.6183273976236328702247878821613e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.814
Order of pole = 0.3286
x[1] = -0.267
y[1] (analytic) = -7.4283536706334603600110681360622
y[1] (numeric) = -7.4283536703640232594874757395969
absolute error = 2.694371005235923964653e-10
relative error = 3.6271442162044483761798415519332e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.814
Order of pole = 0.3286
x[1] = -0.266
y[1] (analytic) = -7.4269571044624797006177747610748
y[1] (numeric) = -7.4269571041924378103167658888028
absolute error = 2.700418903010088722720e-10
relative error = 3.6359694354334492425587811601673e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.814
Order of pole = 0.3286
x[1] = -0.265
y[1] (analytic) = -7.425560639829651751505781231325
y[1] (numeric) = -7.4255606395590046900473059428618
absolute error = 2.706470614584752884632e-10
relative error = 3.6448030604822337918150132623759e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.813
Order of pole = 0.3286
x[1] = -0.264
y[1] (analytic) = -7.4241642767367923365841918955446
y[1] (numeric) = -7.424164276465539722529150586076
absolute error = 2.712526140550413094686e-10
relative error = 3.6536450965261686834933269512653e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.813
Order of pole = 0.3286
x[1] = -0.263
y[1] (analytic) = -7.4227680151857184241540020038159
y[1] (numeric) = -7.4227680149138598760042026152114
absolute error = 2.718585481497993886045e-10
relative error = 3.6624955487443919475188050444811e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.813
Order of pole = 0.3286
x[1] = -0.262
y[1] (analytic) = -7.4213718551782481270854299216971
y[1] (numeric) = -7.421371854905783263283545136987
absolute error = 2.724648638018847847101e-10
relative error = 3.6713544223198160202369595828030e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.813
Order of pole = 0.3287
x[1] = -0.261
y[1] (analytic) = -7.4199757967162007029953777835703
y[1] (numeric) = -7.419975796443129141924902204768
absolute error = 2.730715610704755788023e-10
relative error = 3.6802217224391307833102039999693e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=186.9MB, alloc=4.5MB, time=20.55
Complex estimate of poles used
Radius of convergence = 9.813
Order of pole = 0.3287
x[1] = -0.26
y[1] (analytic) = -7.4185798398013965544250206351824
y[1] (numeric) = -7.4185798395277179144102279444412
absolute error = 2.736786400147926907412e-10
relative error = 3.6890974542928066053683445080460e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.813
Order of pole = 0.3287
x[1] = -0.259
y[1] (analytic) = -7.4171839844356572290175241154059
y[1] (numeric) = -7.4171839841613711283234242194935
absolute error = 2.742861006940998959124e-10
relative error = 3.6979816230750973864980206694252e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.812
Order of pole = 0.3287
x[1] = -0.258
y[1] (analytic) = -7.4157882306208054196958907272791
y[1] (numeric) = -7.4157882303459114765281868853571
absolute error = 2.748939431677038419220e-10
relative error = 3.7068742339840436055186074755997e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.812
Order of pole = 0.3287
x[1] = -0.257
y[1] (analytic) = -7.4143925783586649648409347484355
y[1] (numeric) = -7.4143925780831627973459806831281
absolute error = 2.755021674949540653074e-10
relative error = 3.7157752922214753700891194563549e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.812
Order of pole = 0.3287
x[1] = -0.256
y[1] (analytic) = -7.4129970276510608484693858310696
y[1] (numeric) = -7.4129970273749500747341428228085
absolute error = 2.761107737352430082611e-10
relative error = 3.7246848029930154696111333188253e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.812
Order of pole = 0.3288
x[1] = -0.255
y[1] (analytic) = -7.411601578499819200412121341634
y[1] (numeric) = -7.4116015782230994384641153062646
absolute error = 2.767197619480060353694e-10
relative error = 3.7336027715080824309561058359555e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.812
Order of pole = 0.3288
x[1] = -0.254
y[1] (analytic) = -7.4102062309067672964925274905035
y[1] (numeric) = -7.4102062306294381642998060401374
absolute error = 2.773291321927214503661e-10
relative error = 3.7425292029798935770212144611685e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.811
Order of pole = 0.3288
x[1] = -0.253
y[1] (analytic) = -7.4088109848737335587049893018845
y[1] (numeric) = -7.4088109845957946741760787889848
absolute error = 2.779388845289105128997e-10
relative error = 3.7514641026254680880962572775520e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.811
Order of pole = 0.3288
x[1] = -0.252
y[1] (analytic) = -7.4074158404025475553935094742929
y[1] (numeric) = -7.4074158401239985363773720189773
absolute error = 2.785490190161374553156e-10
relative error = 3.7604074756656300660646213498519e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.811
Order of pole = 0.3288
x[1] = -0.251
y[1] (analytic) = -7.406020797495040001430456181965
y[1] (numeric) = -7.4060207972158804657164466825133
absolute error = 2.791595357140094994517e-10
relative error = 3.7693593273250116014195042105839e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.811
Order of pole = 0.3288
x[1] = -0.25
y[1] (analytic) = -7.4046258561530427583954398676124
y[1] (numeric) = -7.4046258558732723237132629941626
absolute error = 2.797704346821768734498e-10
relative error = 3.7783196628320558431305639564363e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=190.7MB, alloc=4.5MB, time=20.98
Complex estimate of poles used
Radius of convergence = 9.811
Order of pole = 0.3289
x[1] = -0.249
y[1] (analytic) = -7.4032310163783888347543190769709
y[1] (numeric) = -7.4032310160980071187739862483898
absolute error = 2.803817159803328285811e-10
relative error = 3.7872884874190200713408440488047e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.811
Order of pole = 0.3289
x[1] = -0.248
y[1] (analytic) = -7.4018362781729123860383353856385
y[1] (numeric) = -7.4018362778919190063701217295538
absolute error = 2.809933796682136560847e-10
relative error = 3.7962658063219787728818934371555e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.81
Order of pole = 0.3289
x[1] = -0.247
y[1] (analytic) = -7.4004416415384487150233774687435
y[1] (numeric) = -7.4004416412568432892177787647208
absolute error = 2.816054258055987040227e-10
relative error = 3.8052516247808267196584929525347e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.81
Order of pole = 0.3289
x[1] = -0.246
y[1] (analytic) = -7.3990471064768342719093743640224
y[1] (numeric) = -7.3990471061946164174570639698742
absolute error = 2.822178544523103941482e-10
relative error = 3.8142459480392820498558139036627e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.81
Order of pole = 0.3289
x[1] = -0.245
y[1] (analytic) = -7.3976526729899066544998179789335
y[1] (numeric) = -7.3976526727070759888316037401453
absolute error = 2.828306656682142387882e-10
relative error = 3.8232487813448893519988139398160e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.81
Order of pole = 0.329
x[1] = -0.244
y[1] (analytic) = -7.3962583410795046083814148924765
y[1] (numeric) = -7.3962583407960607488681960347351
absolute error = 2.834438595132188577414e-10
relative error = 3.8322601299490227518666783141132e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.81
Order of pole = 0.329
x[1] = -0.243
y[1] (analytic) = -7.3948641107474680271038675024282
y[1] (numeric) = -7.3948641104634105910565915072381
absolute error = 2.840574360472759951901e-10
relative error = 3.8412799991068890022542994039876e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.81
Order of pole = 0.329
x[1] = -0.242
y[1] (analytic) = -7.3934699819956379523597845687506
y[1] (numeric) = -7.3934699817109665570294040321247
absolute error = 2.846713953303805366259e-10
relative error = 3.8503083940775305755795367965791e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.809
Order of pole = 0.329
x[1] = -0.241
y[1] (analytic) = -7.3920759548258565741647212039725
y[1] (numeric) = -7.3920759545405708367421506781805
absolute error = 2.852857374225705257920e-10
relative error = 3.8593453201238287593769339558577e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.809
Order of pole = 0.329
x[1] = -0.24
y[1] (analytic) = -7.3906820292399672310373483613834
y[1] (numeric) = -7.3906820289540667686534211797462
absolute error = 2.859004623839271816372e-10
relative error = 3.8683907825125067546144424277069e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.809
Order of pole = 0.329
x[1] = -0.239
y[1] (analytic) = -7.3892882052398144101797518719302
y[1] (numeric) = -7.3892882049532988399051769566435
absolute error = 2.865155702745749152867e-10
relative error = 3.8774447865141327769049386175299e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.809
Order of pole = 0.3291
memory used=194.5MB, alloc=4.5MB, time=21.40
x[1] = -0.238
y[1] (analytic) = -7.3878944828272437476578610807431
y[1] (numeric) = -7.3878944825401126865031797337169
absolute error = 2.871310611546813470262e-10
relative error = 3.8865073374031231605680186851712e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.809
Order of pole = 0.3291
x[1] = -0.237
y[1] (analytic) = -7.3865008620041020285820071342668
y[1] (numeric) = -7.3865008617163550934975498109655
absolute error = 2.877469350844573233013e-10
relative error = 3.8955784404577454655719488564030e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.809
Order of pole = 0.3291
x[1] = -0.236
y[1] (analytic) = -7.3851073427722371872876109690119
y[1] (numeric) = -7.3851073424838739951634540352811
absolute error = 2.883631921241569337308e-10
relative error = 3.9046581009601215873396537566722e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.808
Order of pole = 0.3291
x[1] = -0.235
y[1] (analytic) = -7.3837139251334983075160010529881
y[1] (numeric) = -7.3837139248445184751819235248534
absolute error = 2.889798323340775281347e-10
relative error = 3.9137463241962308694323951369413e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.808
Order of pole = 0.3291
x[1] = -0.234
y[1] (analytic) = -7.3823206090897356225953609309248
y[1] (numeric) = -7.3823206088001387668208011973473
absolute error = 2.895968557745597335775e-10
relative error = 3.9228431154559132191221035987675e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.808
Order of pole = 0.3291
x[1] = -0.233
y[1] (analytic) = -7.3809273946428005156218066244249
y[1] (numeric) = -7.3809273943525862531158191529998
absolute error = 2.902142625059874714251e-10
relative error = 3.9319484800328722258321798774930e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.808
Order of pole = 0.3292
x[1] = -0.232
y[1] (analytic) = -7.379534281794545519640593938245
y[1] (numeric) = -7.3795342815037134670518059638288
absolute error = 2.908320525887879744162e-10
relative error = 3.9410624232246782824617831248056e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.808
Order of pole = 0.3292
x[1] = -0.231
y[1] (analytic) = -7.3781412705468243178274557239387
y[1] (numeric) = -7.3781412702553740917440239201891
absolute error = 2.914502260834318037496e-10
relative error = 3.9501849503327717096154218851658e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.808
Order of pole = 0.3292
x[1] = -0.23
y[1] (analytic) = -7.3767483609014917436700691521406
y[1] (numeric) = -7.3767483606094229606196362859555
absolute error = 2.920687830504328661851e-10
relative error = 3.9593160666624658827095376042993e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.807
Order of pole = 0.3292
x[1] = -0.229
y[1] (analytic) = -7.375355552860403781149653044815
y[1] (numeric) = -7.3753555525677160575993046136561
absolute error = 2.926877235503484311589e-10
relative error = 3.9684557775229503619711142576743e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.807
Order of pole = 0.3292
x[1] = -0.228
y[1] (analytic) = -7.373962846425417564922695318837
y[1] (numeric) = -7.3739628461321105172789161709231
absolute error = 2.933070476437791479139e-10
relative error = 3.9776040882272940253365885788781e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.807
Order of pole = 0.3292
x[1] = -0.227
y[1] (analytic) = -7.3725702415983913805028105923173
y[1] (numeric) = -7.372570241304464625111441529672
absolute error = 2.939267553913690626453e-10
relative error = 3.9867610040924482042593466570106e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=198.3MB, alloc=4.5MB, time=21.83
Complex estimate of poles used
Radius of convergence = 9.807
Order of pole = 0.3293
x[1] = -0.226
y[1] (analytic) = -7.3711777383811846644427280051242
y[1] (numeric) = -7.3711777380866378175889223694647
absolute error = 2.945468468538056356595e-10
relative error = 3.9959265304392498224015447289153e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.807
Order of pole = 0.3293
x[1] = -0.225
y[1] (analytic) = -7.369785336775658004516409305104
y[1] (numeric) = -7.3697853364804906824245895465548
absolute error = 2.951673220918197585492e-10
relative error = 4.0051006725924245372524417884496e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.807
Order of pole = 0.3293
x[1] = -0.224
y[1] (analytic) = -7.3683930367836731399012972515398
y[1] (numeric) = -7.368393036487884958735111480159
absolute error = 2.957881811661857713808e-10
relative error = 4.0142834358805898846232081298934e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.806
Order of pole = 0.3293
x[1] = -0.223
y[1] (analytic) = -7.3670008384070929613606943874407
y[1] (numeric) = -7.3670008381106835372229729075406
absolute error = 2.964094241377214799001e-10
relative error = 4.0234748256362584261024801122387e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.806
Order of pole = 0.3293
x[1] = -0.222
y[1] (analytic) = -7.365608741647781511426272232286
y[1] (numeric) = -7.3656087413507504603589840595369
absolute error = 2.970310510672881727491e-10
relative error = 4.0326748471958408993778463802450e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.806
Order of pole = 0.3293
x[1] = -0.221
y[1] (analytic) = -7.3642167465076039845807109469054
y[1] (numeric) = -7.3642167462099509225649203082056
absolute error = 2.976530620157906386998e-10
relative error = 4.0418835058996493715061933725474e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.806
Order of pole = 0.3294
x[1] = -0.22
y[1] (analytic) = -7.3628248529884267274404695222102
y[1] (numeric) = -7.3628248526901512703962923383087
absolute error = 2.982754570441771839015e-10
relative error = 4.0511008070919003950882937650175e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.806
Order of pole = 0.3294
x[1] = -0.219
y[1] (analytic) = -7.3614330610921172389386865435416
y[1] (numeric) = -7.3614330607932190027252468943985
absolute error = 2.988982362134396491431e-10
relative error = 4.0603267561207181673708743324662e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.805
Order of pole = 0.3294
x[1] = -0.218
y[1] (analytic) = -7.3600413708205441705082115824432
y[1] (numeric) = -7.3600413705210227709235981553121
absolute error = 2.995213995846134271311e-10
relative error = 4.0695613583381376922885641348188e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.805
Order of pole = 0.3294
x[1] = -0.217
y[1] (analytic) = -7.3586497821755773262647672677076
y[1] (numeric) = -7.3586497818754323790459897879267
absolute error = 3.001449472187774797809e-10
relative error = 4.0788046191001079454160141692853e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.805
Order of pole = 0.3294
x[1] = -0.216
y[1] (analytic) = -7.3572582951590876631902420875951
y[1] (numeric) = -7.357258294858318784013187732072
absolute error = 3.007688791770543555231e-10
relative error = 4.0880565437664950418561607228440e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=202.1MB, alloc=4.5MB, time=22.26
Complex estimate of poles used
Radius of convergence = 9.805
Order of pole = 0.3294
x[1] = -0.215
y[1] (analytic) = -7.3558669097729472913161139751647
y[1] (numeric) = -7.3558669094715540957955037685391
absolute error = 3.013931955206102066256e-10
relative error = 4.0973171377010854070784076034905e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.805
Order of pole = 0.3295
x[1] = -0.214
y[1] (analytic) = -7.3544756260190294739070047287006
y[1] (numeric) = -7.3544756257170115775963499221709
absolute error = 3.020178963106548065297e-10
relative error = 4.1065864062715889506851694171472e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.805
Order of pole = 0.3295
x[1] = -0.213
y[1] (analytic) = -7.353084443899208627644365319264
y[1] (numeric) = -7.3530844435965656460359237520634
absolute error = 3.026429816084415672006e-10
relative error = 4.1158643548496422431151036025260e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.804
Order of pole = 0.3295
x[1] = -0.212
y[1] (analytic) = -7.3516933634153603228102921374436
y[1] (numeric) = -7.3516933631120918713350245809498
absolute error = 3.032684514752675564938e-10
relative error = 4.1251509888108116953063328472715e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.804
Order of pole = 0.3295
x[1] = -0.211
y[1] (analytic) = -7.350302384569361283471474231421
y[1] (numeric) = -7.3503023842654669774990007158861
absolute error = 3.038943059724735155349e-10
relative error = 4.1344463135345967412885740180002e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.804
Order of pole = 0.3295
x[1] = -0.21
y[1] (analytic) = -7.3489115073630893876632715885157
y[1] (numeric) = -7.3489115070585688425018277123997
absolute error = 3.045205451614438761160e-10
relative error = 4.1437503344044330237506039323452e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.804
Order of pole = 0.3295
x[1] = -0.209
y[1] (analytic) = -7.3475207317984236675739245124117
y[1] (numeric) = -7.3475207314932764984703177343074
absolute error = 3.051471691036067781043e-10
relative error = 4.1530630568076955825261251228563e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.804
Order of pole = 0.3295
x[1] = -0.208
y[1] (analytic) = -7.3461300578772443097288941483228
y[1] (numeric) = -7.3461300575714701318684600614539
absolute error = 3.057741778604340868689e-10
relative error = 4.1623844861357020460825783993250e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.804
Order of pole = 0.3296
x[1] = -0.207
y[1] (analytic) = -7.3447394856014326551753342083851
y[1] (numeric) = -7.3447394852950310836818927976659
absolute error = 3.064015714934414107192e-10
relative error = 4.1717146277837158259260244876033e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.803
Order of pole = 0.3296
x[1] = -0.206
y[1] (analytic) = -7.3433490149728711996666939496224
y[1] (numeric) = -7.3433490146658418496025058312619
absolute error = 3.070293500641881183605e-10
relative error = 4.1810534871509493140012208854504e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.803
Order of pole = 0.3296
x[1] = -0.205
y[1] (analytic) = -7.3419586459934435938474524568653
y[1] (numeric) = -7.3419586456857860802131751005023
absolute error = 3.076575136342773563630e-10
relative error = 4.1904010696405670830381074881077e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=206.0MB, alloc=4.5MB, time=22.68
Complex estimate of poles used
Radius of convergence = 9.803
Order of pole = 0.3296
x[1] = -0.204
y[1] (analytic) = -7.3405683786650346434379842830548
y[1] (numeric) = -7.3405683783567485811726282164083
absolute error = 3.082860622653560666465e-10
relative error = 4.1997573806596890898789391859063e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.803
Order of pole = 0.3296
x[1] = -0.203
y[1] (analytic) = -7.339178212989530309419556499404
y[1] (numeric) = -7.3391782126806153134004414954239
absolute error = 3.089149960191150039801e-10
relative error = 4.2091224256193938817794777627774e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.803
Order of pole = 0.3296
x[1] = -0.202
y[1] (analytic) = -7.3377881489688177082194572079343
y[1] (numeric) = -7.3377881486592733932621684544393
absolute error = 3.095443149572887534950e-10
relative error = 4.2184962099347218056612904805695e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.803
Order of pole = 0.3297
x[1] = -0.201
y[1] (analytic) = -7.3363981866047851118962555689527
y[1] (numeric) = -7.336398186294611092754599820738
absolute error = 3.101740191416557482147e-10
relative error = 4.2278787390246782203766768236921e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.802
Order of pole = 0.3297
x[1] = -0.2
y[1] (analytic) = -7.3350083258993219483251933960755
y[1] (numeric) = -7.335008325588517839691155109476
absolute error = 3.108041086340382865995e-10
relative error = 4.2372700183122367119469508414813e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.802
Order of pole = 0.3297
x[1] = -0.199
y[1] (analytic) = -7.3336185668543188013837083714495
y[1] (numeric) = -7.3336185665428842178874058213454
absolute error = 3.114345834963025501041e-10
relative error = 4.2466700532243423117606537980935e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.802
Order of pole = 0.3297
x[1] = -0.198
y[1] (analytic) = -7.3322289094716674111370889338714
y[1] (numeric) = -7.3322289091596019673467303131195
absolute error = 3.120654437903586207519e-10
relative error = 4.2560788491919147177837146315725e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.802
Order of pole = 0.3297
x[1] = -0.197
y[1] (analytic) = -7.3308393537532606740242608925458
y[1] (numeric) = -7.3308393534405639844461003938216
absolute error = 3.126966895781604987242e-10
relative error = 4.2654964116498515187599919355212e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.802
Order of pole = 0.3297
x[1] = -0.196
y[1] (analytic) = -7.3294498997009926430437058192677
y[1] (numeric) = -7.329449899387664322121999699304
absolute error = 3.133283209217061199637e-10
relative error = 4.2749227460370314213969695036071e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.801
Order of pole = 0.3297
x[1] = -0.195
y[1] (analytic) = -7.3280605473167585279395112718621
y[1] (numeric) = -7.3280605470027981900564738980695
absolute error = 3.139603378830373737926e-10
relative error = 4.2843578577963174805436498406634e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.801
Order of pole = 0.3298
x[1] = -0.194
y[1] (analytic) = -7.3266712966024546953875529017585
y[1] (numeric) = -7.3266712962878619548633127812113
absolute error = 3.145927405242401205472e-10
relative error = 4.2938017523745603323895374875137e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=209.8MB, alloc=4.5MB, time=23.11
Complex estimate of poles used
Radius of convergence = 9.801
Order of pole = 0.3298
x[1] = -0.193
y[1] (analytic) = -7.3252821475599786691818084986196
y[1] (numeric) = -7.3252821472447531402743642893935
absolute error = 3.152255289074442092261e-10
relative error = 4.3032544352226014306481200858654e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.801
Order of pole = 0.3298
x[1] = -0.192
y[1] (analytic) = -7.3238931001912291304208040249914
y[1] (numeric) = -7.3238930998753704273259805298381
absolute error = 3.158587030948234951533e-10
relative error = 4.3127159117952762857455448610302e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.801
Order of pole = 0.3298
x[1] = -0.191
y[1] (analytic) = -7.3225041544981059176941916939888
y[1] (numeric) = -7.3225041541816136545455958363307
absolute error = 3.164922631485958576581e-10
relative error = 4.3221861875514177070434122620385e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.801
Order of pole = 0.3298
x[1] = -0.19
y[1] (analytic) = -7.3211153104825100272694601430675
y[1] (numeric) = -7.3211153101653838181384369253003
absolute error = 3.171262091310232177672e-10
relative error = 4.3316652679538590480358668320380e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.8
Order of pole = 0.3298
x[1] = -0.189
y[1] (analytic) = -7.3197265681463436132787767569908
y[1] (numeric) = -7.3197265678285830721743652010761
absolute error = 3.177605411044115559147e-10
relative error = 4.3411531584694374546017889412638e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.8
Order of pole = 0.3299
x[1] = -0.188
y[1] (analytic) = -7.3183379274915099879059621931315
y[1] (numeric) = -7.3183379271731147287748512634664
absolute error = 3.183952591311109296651e-10
relative error = 4.3506498645689971162481707814061e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.8
Order of pole = 0.3299
x[1] = -0.187
y[1] (analytic) = -7.3169493885199136215735971623048
y[1] (numeric) = -7.316949388200883258300081670853
absolute error = 3.190303632735154914518e-10
relative error = 4.3601553917273925203817967354699e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.8
Order of pole = 0.3299
x[1] = -0.186
y[1] (analytic) = -7.3155609512334601431302615183676
y[1] (numeric) = -7.3155609509137942895361980120361
absolute error = 3.196658535940635063315e-10
relative error = 4.3696697454234917096176973967378e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.8
Order of pole = 0.3299
x[1] = -0.185
y[1] (analytic) = -7.3141726156340563400379057098661
y[1] (numeric) = -7.3141726153137546098826683401131
absolute error = 3.203017301552373697530e-10
relative error = 4.3791929311401795421068811234083e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.8
Order of pole = 0.3299
x[1] = -0.184
y[1] (analytic) = -7.3127843817236101585593546470584
y[1] (numeric) = -7.3127843814026721655397910217184
absolute error = 3.209379930195636253400e-10
relative error = 4.3887249543643609548808613070448e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.799
Order of pole = 0.3299
x[1] = -0.183
y[1] (analytic) = -7.3113962495040307039459440376878
y[1] (numeric) = -7.3113962491824560616963310549957
absolute error = 3.215746422496129826921e-10
relative error = 4.3982658205869642302734079619201e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.799
Order of pole = 0.3299
memory used=213.6MB, alloc=4.5MB, time=23.53
x[1] = -0.182
y[1] (analytic) = -7.3100082189772282406252892449179
y[1] (numeric) = -7.3100082186550165627172889097214
absolute error = 3.222116779080003351965e-10
relative error = 4.4078155353029442653199882163219e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.799
Order of pole = 0.33
x[1] = -0.181
y[1] (analytic) = -7.3086202901451141923891867209016
y[1] (numeric) = -7.3086202898222650923318019430418
absolute error = 3.228491000573847778598e-10
relative error = 4.4173741040112858442664415602432e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.799
Order of pole = 0.33
x[1] = -0.18
y[1] (analytic) = -7.3072324630096011425816480694824
y[1] (numeric) = -7.3072324626861142338211784443328
absolute error = 3.234869087604696251496e-10
relative error = 4.4269415322150069140490383969550e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.799
Order of pole = 0.33
x[1] = -0.179
y[1] (analytic) = -7.305844737572602834287066791591
y[1] (numeric) = -7.3058447372484777302070643627347
absolute error = 3.241251040800024288563e-10
relative error = 4.4365178254211618628911944444674e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.798
Order of pole = 0.33
x[1] = -0.178
y[1] (analytic) = -7.3044571138360341705185177669287
y[1] (numeric) = -7.3044571135112704844397427709626
absolute error = 3.247636860787749959661e-10
relative error = 4.4461029891408448018967417831539e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.798
Order of pole = 0.33
x[1] = -0.177
y[1] (analytic) = -7.3030695918018112144061895255868
y[1] (numeric) = -7.3030695914764085595865661190358
absolute error = 3.254026548196234065510e-10
relative error = 4.4556970288891928497221279932565e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.798
Order of pole = 0.33
x[1] = -0.176
y[1] (analytic) = -7.3016821714718511893859493632909
y[1] (numeric) = -7.3016821711458091790205213316165
absolute error = 3.260420103654280316744e-10
relative error = 4.4652999501853894203114313504294e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.798
Order of pole = 0.33
x[1] = -0.175
y[1] (analytic) = -7.3002948528480724793880413540038
y[1] (numeric) = -7.3002948525213907266089278026934
absolute error = 3.266817527791135513104e-10
relative error = 4.4749117585526675136712052067924e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.798
Order of pole = 0.3301
x[1] = -0.174
y[1] (analytic) = -7.2989076359323946290259173136698
y[1] (numeric) = -7.2989076356050727469022683413906
absolute error = 3.273218821236489722792e-10
relative error = 4.4845324595183130097210413580168e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.798
Order of pole = 0.3301
x[1] = -0.173
y[1] (analytic) = -7.2975205207267383437852007689262
y[1] (numeric) = -7.2975205203987759453231531227289
absolute error = 3.279623984620476461973e-10
relative error = 4.4941620586136679652050933269198e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.797
Order of pole = 0.3301
x[1] = -0.172
y[1] (analytic) = -7.2961335072330254902127839846547
y[1] (numeric) = -7.2961335069044221883554166972111
absolute error = 3.286033018573672874436e-10
relative error = 4.5038005613741339136826708757619e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.797
Order of pole = 0.3301
x[1] = -0.171
y[1] (analytic) = -7.2947465954531790961060581042883
y[1] (numeric) = -7.2947465951239345037333481131489
memory used=217.4MB, alloc=4.5MB, time=23.95
absolute error = 3.292445923727099911394e-10
relative error = 4.5134479733391751685735469690930e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.797
Order of pole = 0.3301
x[1] = -0.17
y[1] (analytic) = -7.29335978538912335070227645684
y[1] (numeric) = -7.2933597850592370806310542056947
absolute error = 3.298862700712222511453e-10
relative error = 4.5231043000523221293021355556242e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.797
Order of pole = 0.3301
x[1] = -0.169
y[1] (analytic) = -7.2919730770427836048680510846593
y[1] (numeric) = -7.2919730767122552698519561065876
absolute error = 3.305283350160949780717e-10
relative error = 4.5327695470611745904983680483093e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.797
Order of pole = 0.3301
x[1] = -0.168
y[1] (analytic) = -7.2905864704160863712889825459735
y[1] (numeric) = -7.2905864700849155840184190286677
absolute error = 3.311707872705635173058e-10
relative error = 4.5424437199174050542980720671841e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.796
Order of pole = 0.3302
x[1] = -0.167
y[1] (analytic) = -7.2891999655109593246594230463123
y[1] (numeric) = -7.2891999651791456977615153792596
absolute error = 3.318136268979076670527e-10
relative error = 4.5521268241767620457130095306715e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.796
Order of pole = 0.3302
x[1] = -0.166
y[1] (analytic) = -7.2878135623293313018723729529632
y[1] (numeric) = -7.2878135619968744479109212565702
absolute error = 3.324568539614516963930e-10
relative error = 4.5618188653990734311065478198148e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.796
Order of pole = 0.3302
x[1] = -0.165
y[1] (analytic) = -7.286427260873132302209510746649
y[1] (numeric) = -7.2864272605400318336849463832944
absolute error = 3.331004685245643633546e-10
relative error = 4.5715198491482497397464876947867e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.796
Order of pole = 0.3302
x[1] = -0.164
y[1] (analytic) = -7.2850410611442934875313564646652
y[1] (numeric) = -7.2850410608105490168806975316645
absolute error = 3.337444706506589330007e-10
relative error = 4.5812297809922874884655520348529e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.796
Order of pole = 0.3302
x[1] = -0.163
y[1] (analytic) = -7.2836549631447471824675686897605
y[1] (numeric) = -7.2836549628103583220643754942284
absolute error = 3.343888604031931955321e-10
relative error = 4.5909486665032725094065400552020e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.796
Order of pole = 0.3302
x[1] = -0.162
y[1] (analytic) = -7.2822689668764268746073751390907
y[1] (numeric) = -7.2822689665413932367617056546851
absolute error = 3.350336378456694844056e-10
relative error = 4.6006765112573832808799236578187e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.795
Order of pole = 0.3302
x[1] = -0.161
y[1] (analytic) = -7.280883072341267214690136907621
y[1] (numeric) = -7.2808830720055884116485022131536
absolute error = 3.356788030416346944674e-10
relative error = 4.6104133208348942613218732225451e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.795
Order of pole = 0.3302
x[1] = -0.16
y[1] (analytic) = -7.2794972795412040167960464203976
y[1] (numeric) = -7.2794972792048796607413661202959
absolute error = 3.363243560546803001017e-10
relative error = 4.6201591008201792263585388991777e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=221.2MB, alloc=4.5MB, time=24.39
Complex estimate of poles used
Radius of convergence = 9.795
Order of pole = 0.3303
x[1] = -0.159
y[1] (analytic) = -7.2781115884781742585369591481571
y[1] (numeric) = -7.278111588141203961588516774762
absolute error = 3.369702969484423733951e-10
relative error = 4.6299138568017146089879169441405e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.795
Order of pole = 0.3303
x[1] = -0.158
y[1] (analytic) = -7.2767259991541160812473591407851
y[1] (numeric) = -7.2767259988164994554607575384696
absolute error = 3.376166257866016023155e-10
relative error = 4.6396775943720828428645359349866e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.795
Order of pole = 0.3303
x[1] = -0.157
y[1] (analytic) = -7.2753405115709687901754584331859
y[1] (numeric) = -7.2753405112327054475425751242783
absolute error = 3.382633426328833089076e-10
relative error = 4.6494503191279757087189070793821e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.794
Order of pole = 0.3303
x[1] = -0.156
y[1] (analytic) = -7.2739551257306728546744303781661
y[1] (numeric) = -7.2739551253917624071233729106637
absolute error = 3.389104475510574675024e-10
relative error = 4.6592320366701976838791160918965e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.794
Order of pole = 0.3303
x[1] = -0.155
y[1] (analytic) = -7.2725698416351699083937769609859
y[1] (numeric) = -7.2725698412956119677888382380429
absolute error = 3.395579406049387229430e-10
relative error = 4.6690227526036692949292595213158e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.794
Order of pole = 0.3303
x[1] = -0.154
y[1] (analytic) = -7.2711846592864027494708301502744
y[1] (numeric) = -7.2711846589461969276124437414491
absolute error = 3.402058218583864088253e-10
relative error = 4.6788224725374304734885941808323e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.794
Order of pole = 0.3303
x[1] = -0.153
y[1] (analytic) = -7.2697995786863153407223873400538
y[1] (numeric) = -7.269799578345461249347082774299
absolute error = 3.408540913753045657548e-10
relative error = 4.6886312020846439151310068042210e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.794
Order of pole = 0.3304
x[1] = -0.152
y[1] (analytic) = -7.2684145998368528098364809376611
y[1] (numeric) = -7.2684145994953500606168389780432
absolute error = 3.415027492196419596179e-10
relative error = 4.6984489468625984414259167629286e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.794
Order of pole = 0.3304
x[1] = -0.151
y[1] (analytic) = -7.2670297227399614495642821524049
y[1] (numeric) = -7.2670297223978096541088900525362
absolute error = 3.421517954553920998687e-10
relative error = 4.7082757124927123651174725721325e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.793
Order of pole = 0.3304
x[1] = -0.15
y[1] (analytic) = -7.2656449473975887179121390398403
y[1] (numeric) = -7.2656449470547874877655457820078
absolute error = 3.428012301465932578325e-10
relative error = 4.7181115046005368584616799683629e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.793
Order of pole = 0.3304
x[1] = -0.149
y[1] (analytic) = -7.2642602738116832383337488565883
y[1] (numeric) = -7.2642602734682321849764203715657
absolute error = 3.434510533573284850226e-10
relative error = 4.7279563288157593246778042237110e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=225.0MB, alloc=4.5MB, time=24.81
Complex estimate of poles used
Radius of convergence = 9.793
Order of pole = 0.3304
x[1] = -0.148
y[1] (analytic) = -7.2628757019841947999224647806786
y[1] (numeric) = -7.2628757016400935347707391492035
absolute error = 3.441012651517256314751e-10
relative error = 4.7378101907722067725818475028511e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.793
Order of pole = 0.3304
x[1] = -0.147
y[1] (analytic) = -7.2614912319170743576037370524332
y[1] (numeric) = -7.2614912315723224920097796883369
absolute error = 3.447518655939573640963e-10
relative error = 4.7476730961078491943309142634831e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.793
Order of pole = 0.3304
x[1] = -0.146
y[1] (analytic) = -7.2601068636122740323276885909629
y[1] (numeric) = -7.2601068632668711775794474059345
absolute error = 3.454028547482411850284e-10
relative error = 4.7575450504648029463600580601974e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.792
Order of pole = 0.3304
x[1] = -0.145
y[1] (analytic) = -7.2587225970717471112618251413873
y[1] (numeric) = -7.258722596725692878582985691359
absolute error = 3.460542326788394500283e-10
relative error = 4.7674260594893341334431620983645e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.792
Order of pole = 0.3305
x[1] = -0.144
y[1] (analytic) = -7.257338432297448047983880007943
y[1] (numeric) = -7.2573384319507420485338206210788
absolute error = 3.467059994500593868642e-10
relative error = 4.7773161288318619959457137284501e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.792
Order of pole = 0.3305
x[1] = -0.143
y[1] (analytic) = -7.2559543692913324626747934281825
y[1] (numeric) = -7.2559543689439743075485403144578
absolute error = 3.473581551262531137247e-10
relative error = 4.7872152641469623001996174410783e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.792
Order of pole = 0.3305
x[1] = -0.142
y[1] (analytic) = -7.2545704080553571423118266435234
y[1] (numeric) = -7.2545704077073464425400089858765
absolute error = 3.480106997718176576469e-10
relative error = 4.7971234710933707320927390288782e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.792
Order of pole = 0.3305
x[1] = -0.141
y[1] (analytic) = -7.253186548591480040861810721443
y[1] (numeric) = -7.2531865482428164074106157484861
absolute error = 3.486636334511949729569e-10
relative error = 4.8070407553339862937854034513703e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.792
Order of pole = 0.3305
x[1] = -0.14
y[1] (analytic) = -7.2518027909016602794745301846692
y[1] (numeric) = -7.2518027905523433232456582249411
absolute error = 3.493169562288719597281e-10
relative error = 4.8169671225358747036314096634462e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.791
Order of pole = 0.3305
x[1] = -0.139
y[1] (analytic) = -7.250419134987858146676241502759
y[1] (numeric) = -7.2504191346378874785068610205051
absolute error = 3.499706681693804822539e-10
relative error = 4.8269025783702717992598704495252e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.791
Order of pole = 0.3305
x[1] = -0.138
y[1] (analytic) = -7.249035580852035098563326501506
y[1] (numeric) = -7.2490355805014103292260291139697
absolute error = 3.506247693372973875363e-10
relative error = 4.8368471285125869438417124196052e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=228.8MB, alloc=4.5MB, time=25.26
Complex estimate of poles used
Radius of convergence = 9.791
Order of pole = 0.3305
x[1] = -0.137
y[1] (analytic) = -7.2476521284961537589960807456628
y[1] (numeric) = -7.2476521281448744991988362218733
absolute error = 3.512792597972445237895e-10
relative error = 4.8468007786424064355315921938767e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.791
Order of pole = 0.3305
x[1] = -0.136
y[1] (analytic) = -7.2462687779221779197926369505141
y[1] (numeric) = -7.2462687775702437801787481915538
absolute error = 3.519341396138887589603e-10
relative error = 4.8567635344434969201132298752735e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.791
Order of pole = 0.3306
x[1] = -0.135
y[1] (analytic) = -7.2448855291320725409230234778784
y[1] (numeric) = -7.2448855287794831320710814786152
absolute error = 3.525894088519419992632e-10
relative error = 4.8667354016038088068223712387252e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.79
Order of pole = 0.3306
x[1] = -0.134
y[1] (analytic) = -7.243502382127803750703357972166
y[1] (numeric) = -7.2435023817745586831271967644359
absolute error = 3.532450675761612077301e-10
relative error = 4.8767163858154796873491602504663e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.79
Order of pole = 0.3306
x[1] = -0.133
y[1] (analytic) = -7.2421193369113388459901761921709
y[1] (numeric) = -7.2421193365574377301388277693918
absolute error = 3.539011158513484227791e-10
relative error = 4.8867064927748377580852222075579e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.79
Order of pole = 0.3306
x[1] = -0.132
y[1] (analytic) = -7.2407363934846462923748960943103
y[1] (numeric) = -7.2407363931300887386325453175163
absolute error = 3.545575537423507767940e-10
relative error = 4.8967057281824052455026975245449e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.79
Order of pole = 0.3306
x[1] = -0.131
y[1] (analytic) = -7.2393535518496957243784172230872
y[1] (numeric) = -7.2393535514944813430643567083635
absolute error = 3.552143813140605147237e-10
relative error = 4.9067140977429018347954081205879e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.79
Order of pole = 0.3306
x[1] = -0.13
y[1] (analytic) = -7.2379708120084579456458554645858
y[1] (numeric) = -7.2379708116525863470144404518907
absolute error = 3.558715986314150126951e-10
relative error = 4.9167316071652481016970059521228e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.79
Order of pole = 0.3306
x[1] = -0.129
y[1] (analytic) = -7.2365881739629049291414132188626
y[1] (numeric) = -7.2365881736063757233820164222205
absolute error = 3.565292057593967966421e-10
relative error = 4.9267582621625689475151896856083e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.789
Order of pole = 0.3306
x[1] = -0.128
y[1] (analytic) = -7.2352056377150098173433850471423
y[1] (numeric) = -7.235205637357822614580351486192
absolute error = 3.571872027630335609503e-10
relative error = 4.9367940684521970373796699676482e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.789
Order of pole = 0.3307
x[1] = -0.127
y[1] (analytic) = -7.2338232032667469224392988497734
y[1] (numeric) = -7.2338232029089013327319006626562
absolute error = 3.578455897073981871172e-10
relative error = 4.9468390317556762417043236119898e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=232.7MB, alloc=4.5MB, time=25.69
Complex estimate of poles used
Radius of convergence = 9.789
Order of pole = 0.3307
x[1] = -0.126
y[1] (analytic) = -7.2324408706200917265211926309471
y[1] (numeric) = -7.2324408702615873598635838685187
absolute error = 3.585043666576087624284e-10
relative error = 4.9568931577987650808736549289059e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.789
Order of pole = 0.3307
x[1] = -0.125
y[1] (analytic) = -7.2310586397770208817810269062279
y[1] (numeric) = -7.2310586394178573481021983075785
absolute error = 3.591635336788285986494e-10
relative error = 4.9669564523114401731512502036787e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.789
Order of pole = 0.3307
x[1] = -0.124
y[1] (analytic) = -7.2296765107395122107062328089935
y[1] (numeric) = -7.2296765103796891198699665582608
absolute error = 3.598230908362662507327e-10
relative error = 4.9770289210278996858092895938368e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.788
Order of pole = 0.3307
x[1] = -0.123
y[1] (analytic) = -7.2282944835095447062753959519281
y[1] (numeric) = -7.2282944831490616680802204163868
absolute error = 3.604830381951755355413e-10
relative error = 4.9871105696865667894975462291755e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.788
Order of pole = 0.3307
x[1] = -0.122
y[1] (analytic) = -7.2269125580890985321540760997605
y[1] (numeric) = -7.2269125577279551563332205491724
absolute error = 3.611433758208555505881e-10
relative error = 4.9972014040300931158481896381489e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.788
Order of pole = 0.3307
x[1] = -0.121
y[1] (analytic) = -7.2255307344801550228907627094826
y[1] (numeric) = -7.2255307341183509191121120166938
absolute error = 3.618041037786506927888e-10
relative error = 5.0073014298053622182864079503272e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.788
Order of pole = 0.3307
x[1] = -0.12
y[1] (analytic) = -7.2241490126846966841129663943397
y[1] (numeric) = -7.224149012322231461979015717105
absolute error = 3.624652221339506772347e-10
relative error = 5.0174106527634930361386297068168e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.788
Order of pole = 0.3307
x[1] = -0.119
y[1] (analytic) = -7.2227673927047071927234463679181
y[1] (numeric) = -7.2227673923415804617712558119416
absolute error = 3.631267309521905559765e-10
relative error = 5.0275290786598433619184350177262e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.787
Order of pole = 0.3307
x[1] = -0.118
y[1] (analytic) = -7.2213858745421713970965739247171
y[1] (numeric) = -7.2213858741783827667977231878888
absolute error = 3.637886302988507368283e-10
relative error = 5.0376567132540133119207052785507e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.787
Order of pole = 0.3308
x[1] = -0.117
y[1] (analytic) = -7.2200044581990753172748320136272
y[1] (numeric) = -7.2200044578346243970353750114435
absolute error = 3.644509202394570021837e-10
relative error = 5.0477935623098488000151470722002e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.787
Order of pole = 0.3308
x[1] = -0.116
y[1] (analytic) = -7.2186231436774061451654509607932
y[1] (numeric) = -7.2186231433122925443258704329433
absolute error = 3.651136008395805278499e-10
relative error = 5.0579396315954450147241006097407e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.787
Order of pole = 0.3308
x[1] = -0.115
y[1] (analytic) = -7.2172419309791522447371803983838
y[1] (numeric) = -7.2172419306133755725723424964862
memory used=236.5MB, alloc=4.5MB, time=26.11
absolute error = 3.657766721648379018976e-10
relative error = 5.0680949268831498995574404435703e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.787
Order of pole = 0.3308
x[1] = -0.114
y[1] (analytic) = -7.2158608201063031522171974558348
y[1] (numeric) = -7.2158608197398630179363063123097
absolute error = 3.664401342808911435251e-10
relative error = 5.0782594539495676365856481524718e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.787
Order of pole = 0.3308
x[1] = -0.113
y[1] (analytic) = -7.2144798110608495762881512701869
y[1] (numeric) = -7.2144798106937455890347035482467
absolute error = 3.671039872534477219402e-10
relative error = 5.0884332185755621333041835890492e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.786
Order of pole = 0.3308
x[1] = -0.112
y[1] (analytic) = -7.2130989038447833982853438721796
y[1] (numeric) = -7.2130989034770151671370832969234
absolute error = 3.677682311482605752562e-10
relative error = 5.0986162265462605127411564819650e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.786
Order of pole = 0.3308
x[1] = -0.111
y[1] (analytic) = -7.211718098460097672394047504816
y[1] (numeric) = -7.2117180980916648063629193754108
absolute error = 3.684328660311281294052e-10
relative error = 5.1088084836510566068559028635620e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.786
Order of pole = 0.3308
x[1] = -0.11
y[1] (analytic) = -7.2103373949087866258469584311562
y[1] (numeric) = -7.2103373945396887338790641140898
absolute error = 3.690978919678943170664e-10
relative error = 5.1190099956836144531998629491953e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.786
Order of pole = 0.3308
x[1] = -0.109
y[1] (analytic) = -7.208956793192845659121787288147
y[1] (numeric) = -7.2089567928230823500973386915372
absolute error = 3.697633090244485966098e-10
relative error = 5.1292207684418717948485652607563e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.786
Order of pole = 0.3308
x[1] = -0.108
y[1] (analytic) = -7.2075762933142713461389860433462
y[1] (numeric) = -7.2075762929438422288722600722878
absolute error = 3.704291172667259710584e-10
relative error = 5.1394408077280435836509944520044e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.785
Order of pole = 0.3309
x[1] = -0.107
y[1] (analytic) = -7.2061958952750614344596116114371
y[1] (numeric) = -7.2061958949039661176989046043754
absolute error = 3.710953167607070070617e-10
relative error = 5.1496701193486254866997572435236e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.785
Order of pole = 0.3309
x[1] = -0.106
y[1] (analytic) = -7.204815599077214845483326187493
y[1] (numeric) = -7.2048155987054529379109083336025
absolute error = 3.717619075724178538905e-10
relative error = 5.1599087091143973961640406327350e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.785
Order of pole = 0.3309
x[1] = -0.105
y[1] (analytic) = -7.2034354047227316746465343539801
y[1] (numeric) = -7.2034354043503027848786040915376
absolute error = 3.724288897679302624425e-10
relative error = 5.1701565828404269423429863680670e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.785
Order of pole = 0.3309
x[1] = -0.104
y[1] (analytic) = -7.2020553122136131916206570185534
y[1] (numeric) = -7.2020553118405169282072954142855
absolute error = 3.730962634133616042679e-10
relative error = 5.1804137463460730100704189930997e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=240.3MB, alloc=4.5MB, time=26.54
Complex estimate of poles used
Radius of convergence = 9.785
Order of pole = 0.3309
x[1] = -0.103
y[1] (analytic) = -7.2006753215518618405105422397329
y[1] (numeric) = -7.2006753211780978119356673491243
absolute error = 3.737640285748748906086e-10
relative error = 5.1906802054549892583854177769637e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.784
Order of pole = 0.3309
x[1] = -0.102
y[1] (analytic) = -7.1992954327394812400530129976053
y[1] (numeric) = -7.1992954323650490547343342061511
absolute error = 3.744321853186787914542e-10
relative error = 5.2009559659951276435164366664990e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.784
Order of pole = 0.3309
x[1] = -0.101
y[1] (analytic) = -7.1979156457784761838155519667392
y[1] (numeric) = -7.1979156454033754501045243121256
absolute error = 3.751007337110276546136e-10
relative error = 5.2112410337987419451656193320197e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.784
Order of pole = 0.3309
x[1] = -0.1
y[1] (analytic) = -7.196535960670852640395123348551
y[1] (numeric) = -7.1965359602950829665769018237483
absolute error = 3.757696738182215248027e-10
relative error = 5.2215354147023912961035569433966e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.784
Order of pole = 0.3309
x[1] = -0.099
y[1] (analytic) = -7.195156377418617753617131820409
y[1] (numeric) = -7.19515637704217874791052565766
absolute error = 3.764390057066061627490e-10
relative error = 5.2318391145469437150889200767296e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.784
Order of pole = 0.3309
x[1] = -0.098
y[1] (analytic) = -7.1937768960237798427345186588038
y[1] (numeric) = -7.193776895646671113291945594494
absolute error = 3.771087294425730643098e-10
relative error = 5.2421521391775796430704231542005e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.784
Order of pole = 0.331
x[1] = -0.097
y[1] (analytic) = -7.1923975164883484026269950939734
y[1] (numeric) = -7.192397516110569557534435614364
absolute error = 3.777788450925594796094e-10
relative error = 5.2524744944437954827494741682389e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.783
Order of pole = 0.331
x[1] = -0.096
y[1] (analytic) = -7.1910182388143341040004129534057
y[1] (numeric) = -7.1910182384358847512773645212157
absolute error = 3.784493527230484321900e-10
relative error = 5.2628061861994071414331845178685e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.783
Order of pole = 0.331
x[1] = -0.095
y[1] (analytic) = -7.1896390630037487935862726517005
y[1] (numeric) = -7.1896390626246285411857039135203
absolute error = 3.791202524005687381802e-10
relative error = 5.2731472203025535772352663269730e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.783
Order of pole = 0.331
x[1] = -0.094
y[1] (analytic) = -7.1882599890586054943413685843124
y[1] (numeric) = -7.1882599886788139501496735588348
absolute error = 3.797915441916950254776e-10
relative error = 5.2834976026157003485794858458747e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.783
Order of pole = 0.331
x[1] = -0.093
y[1] (analytic) = -7.1868810169809184056475719827536
y[1] (numeric) = -7.1868810166004551774845242298029
absolute error = 3.804632281630477529507e-10
relative error = 5.2938573390056431670813244092690e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=244.1MB, alloc=4.5MB, time=26.96
Complex estimate of poles used
Radius of convergence = 9.783
Order of pole = 0.331
x[1] = -0.092
y[1] (analytic) = -7.185502146772702903511751288871
y[1] (numeric) = -7.1855021463915675991304580592184
absolute error = 3.811353043812932296526e-10
relative error = 5.3042264353435114537068683498458e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.782
Order of pole = 0.331
x[1] = -0.091
y[1] (analytic) = -7.1841233784359755407658301058757
y[1] (numeric) = -7.1841233780541677678526864718211
absolute error = 3.818077729131436340546e-10
relative error = 5.3146048975047718983249382591140e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.782
Order of pole = 0.331
x[1] = -0.09
y[1] (analytic) = -7.1827447119727540472669827838368
y[1] (numeric) = -7.182744711590273413441625750543
absolute error = 3.824806338253570332938e-10
relative error = 5.3249927313692320225737331395221e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.782
Order of pole = 0.331
x[1] = -0.089
y[1] (analytic) = -7.1813661473850573300979676974098
y[1] (numeric) = -7.1813661470019034429132302949721
absolute error = 3.831538871847374024377e-10
relative error = 5.3353899428210437460870744765045e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.782
Order of pole = 0.331
x[1] = -0.088
y[1] (analytic) = -7.1799876846749054737675982736114
y[1] (numeric) = -7.1799876842910779407094636298475
absolute error = 3.838275330581346437639e-10
relative error = 5.3457965377487069560571578249563e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.782
Order of pole = 0.331
x[1] = -0.087
y[1] (analytic) = -7.1786093238443197404113518275069
y[1] (numeric) = -7.1786093234598181688989072214504
absolute error = 3.845015715124446060565e-10
relative error = 5.3562125220450730801594385385416e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.781
Order of pole = 0.331
x[1] = -0.086
y[1] (analytic) = -7.1772310648953225699921162637209
y[1] (numeric) = -7.1772310645101465673775071598012
absolute error = 3.851760026146091039197e-10
relative error = 5.3666379016073486628499899473506e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.781
Order of pole = 0.3311
x[1] = -0.085
y[1] (analytic) = -7.1758529078299375805010747017292
y[1] (numeric) = -7.1758529074440867540694587646234
absolute error = 3.858508264316159371058e-10
relative error = 5.3770726823370989449996991510083e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.781
Order of pole = 0.3311
x[1] = -0.084
y[1] (analytic) = -7.1744748526501895681587280829419
y[1] (numeric) = -7.1744748522636635251282291730826
absolute error = 3.865260430304989098593e-10
relative error = 5.3875168701402514468923317354628e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.781
Order of pole = 0.3311
x[1] = -0.083
y[1] (analytic) = -7.1730968993581045076160558176375
y[1] (numeric) = -7.1730968989709028551377179673573
absolute error = 3.872016524783378502802e-10
relative error = 5.3979704709270995546330541866277e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.781
Order of pole = 0.3311
x[1] = -0.082
y[1] (analytic) = -7.1717190479557095521558145298458
y[1] (numeric) = -7.1717190475678318973135559001472
absolute error = 3.878776548422586296986e-10
relative error = 5.4084334906123061098606926787097e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=247.9MB, alloc=4.5MB, time=27.39
Complex estimate of poles used
Radius of convergence = 9.78
Order of pole = 0.3311
x[1] = -0.081
y[1] (analytic) = -7.1703412984450330338939749583425
y[1] (numeric) = -7.1703412980564789837045417762724
absolute error = 3.885540501894331820701e-10
relative error = 5.4189059351149070028995076609783e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.78
Order of pole = 0.3311
x[1] = -0.08
y[1] (analytic) = -7.1689636508281044639812970719511
y[1] (numeric) = -7.1689636504388736253942175485669
absolute error = 3.892308385870795233842e-10
relative error = 5.4293878103583147692451529656783e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.78
Order of pole = 0.3311
x[1] = -0.079
y[1] (analytic) = -7.1675861051069545328050434574078
y[1] (numeric) = -7.1675861047170465127025816863168
absolute error = 3.899080201024617710910e-10
relative error = 5.4398791222703221894620919683062e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.78
Order of pole = 0.3311
x[1] = -0.078
y[1] (analytic) = -7.1662086612836151101908310380857
y[1] (numeric) = -7.1662086608930295153879408745431
absolute error = 3.905855948028901635426e-10
relative error = 5.4503798767831058924456667207732e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.78
Order of pole = 0.3311
x[1] = -0.077
y[1] (analytic) = -7.1648313193601192456046211819297
y[1] (numeric) = -7.1648313189688556828489001024781
absolute error = 3.912635627557210794516e-10
relative error = 5.4608900798332299620856848933844e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.78
Order of pole = 0.3311
x[1] = -0.076
y[1] (analytic) = -7.1634540793385011683548482569985
y[1] (numeric) = -7.1634540789465592443264911996321
absolute error = 3.919419240283570573664e-10
relative error = 5.4714097373616495473307532849468e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.779
Order of pole = 0.3311
x[1] = -0.075
y[1] (analytic) = -7.1620769412207962877946866930566
y[1] (numeric) = -7.1620769408281756091064398778967
absolute error = 3.926206786882468151599e-10
relative error = 5.4819388553137144756093004618756e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.779
Order of pole = 0.3311
x[1] = -0.074
y[1] (analytic) = -7.1606999050090411935244566077181
y[1] (numeric) = -7.1606999046157413667215713381789
absolute error = 3.932998268028852695392e-10
relative error = 5.4924774396391728697167780977917e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.779
Order of pole = 0.3311
x[1] = -0.073
y[1] (analytic) = -7.1593229707052736555941680556778
y[1] (numeric) = -7.1593229703112942871543545001107
absolute error = 3.939793684398135555671e-10
relative error = 5.5030254962921747680440385264482e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.779
Order of pole = 0.3311
x[1] = -0.072
y[1] (analytic) = -7.1579461383115326247062039596278
y[1] (numeric) = -7.1579461379168733210395849134255
absolute error = 3.946593036666190462023e-10
relative error = 5.5135830312312757482466170167889e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.779
Order of pole = 0.3312
x[1] = -0.071
y[1] (analytic) = -7.1565694078298582324181417814989
y[1] (numeric) = -7.1565694074345185998672064096429
absolute error = 3.953396325509353718560e-10
relative error = 5.5241500504194405543262460892959e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=251.7MB, alloc=4.5MB, time=27.81
Complex estimate of poles used
Radius of convergence = 9.778
Order of pole = 0.3312
x[1] = -0.07
y[1] (analytic) = -7.1551927792622917913457139927155
y[1] (numeric) = -7.1551927788662714361852715527529
absolute error = 3.960203551604424399626e-10
relative error = 5.5347265598240467270958835645226e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.778
Order of pole = 0.3312
x[1] = -0.069
y[1] (analytic) = -7.1538162526108757953659074022081
y[1] (numeric) = -7.1538162522141743238030409476381
absolute error = 3.967014715628664545700e-10
relative error = 5.5453125654168882381085230557409e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.778
Order of pole = 0.3312
x[1] = -0.068
y[1] (analytic) = -7.1524398278776539198202014009647
y[1] (numeric) = -7.1524398274802709379942214650217
absolute error = 3.973829818259799359430e-10
relative error = 5.5559080731741791269624028022410e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.778
Order of pole = 0.3312
x[1] = -0.067
y[1] (analytic) = -7.1510635050646710217179451819661
y[1] (numeric) = -7.1510635046666061357003434417799
absolute error = 3.980648860176017401862e-10
relative error = 5.5665130890765571420754854350582e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.778
Order of pole = 0.3312
x[1] = -0.066
y[1] (analytic) = -7.1496872841739731399398739943835
y[1] (numeric) = -7.1496872837752259557342769155036
absolute error = 3.987471842055970788799e-10
relative error = 5.5771276191090873848417953368595e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.777
Order of pole = 0.3312
x[1] = -0.065
y[1] (analytic) = -7.1483111652076074954417644909817
y[1] (numeric) = -7.148311164808177618983886952246
absolute error = 3.994298764578775387357e-10
relative error = 5.5877516692612659572667231256685e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.777
Order of pole = 0.3312
x[1] = -0.064
y[1] (analytic) = -7.1469351481676224914582292277052
y[1] (numeric) = -7.1469351477675095286158281264396
absolute error = 4.001129628424011012656e-10
relative error = 5.5983852455270236129980579399430e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.777
Order of pole = 0.3312
x[1] = -0.063
y[1] (analytic) = -7.1455592330560677137066503744872
y[1] (numeric) = -7.1455592326552712702794782120175
absolute error = 4.007964434271721624697e-10
relative error = 5.6090283539047294118275186391138e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.777
Order of pole = 0.3312
x[1] = -0.062
y[1] (analytic) = -7.1441834198749939305912526963597
y[1] (numeric) = -7.1441834194735136123110111438209
absolute error = 4.014803182802415525388e-10
relative error = 5.6196810003971943776144916172947e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.777
Order of pole = 0.3312
x[1] = -0.061
y[1] (analytic) = -7.1428077086264530934073158640003
y[1] (numeric) = -7.1428077082242885059376093084258
absolute error = 4.021645874697065555745e-10
relative error = 5.6303431910116751596718076168105e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.776
Order of pole = 0.3312
x[1] = -0.06
y[1] (analytic) = -7.1414320993124983365455261528945
y[1] (numeric) = -7.1414320989096490854818152235696
absolute error = 4.028492510637109293249e-10
relative error = 5.6410149317598776975904372445670e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.776
Order of pole = 0.3312
memory used=255.5MB, alloc=4.5MB, time=28.22
x[1] = -0.059
y[1] (analytic) = -7.1400565919351839776964675903469
y[1] (numeric) = -7.1400565915316496685660226654095
absolute error = 4.035343091304449249374e-10
relative error = 5.6516962286579608895275664221798e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.776
Order of pole = 0.3312
x[1] = -0.058
y[1] (analytic) = -7.1386811864965655180552526096188
y[1] (numeric) = -7.1386811860923457563171073028915
absolute error = 4.042197617381453067273e-10
relative error = 5.6623870877265402639433262720046e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.776
Order of pole = 0.3312
x[1] = -0.057
y[1] (analytic) = -7.1373058829986996425262922705238
y[1] (numeric) = -7.1373058825937940335711968985604
absolute error = 4.049056089550953719634e-10
relative error = 5.6730875149906916548064549521948e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.776
Order of pole = 0.3312
x[1] = -0.056
y[1] (analytic) = -7.1359306814436442199282061058598
y[1] (numeric) = -7.1359306810380523690785811351898
absolute error = 4.055918508496249706700e-10
relative error = 5.6837975164799548802639742498814e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.775
Order of pole = 0.3312
x[1] = -0.055
y[1] (analytic) = -7.134555581833458303198871653105
y[1] (numeric) = -7.1345555814271798157087611276597
absolute error = 4.062784874901105254453e-10
relative error = 5.6945170982283374247783644191185e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.775
Order of pole = 0.3313
x[1] = -0.054
y[1] (analytic) = -7.1331805841702021296006137308566
y[1] (numeric) = -7.1331805837632366106556386795604
absolute error = 4.069655189449750512962e-10
relative error = 5.7052462662743181247357246089459e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.775
Order of pole = 0.3313
x[1] = -0.053
y[1] (analytic) = -7.1318056884559371209255335195396
y[1] (numeric) = -7.1318056880482841756428453440499
absolute error = 4.076529452826881754897e-10
relative error = 5.7159850266608508575312144292267e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.775
Order of pole = 0.3313
x[1] = -0.052
y[1] (analytic) = -7.1304308946927258837009775059613
y[1] (numeric) = -7.1304308942843851171292113485413
absolute error = 4.083407665717661574200e-10
relative error = 5.7267333854353682341226535579351e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.775
Order of pole = 0.3313
x[1] = -0.051
y[1] (analytic) = -7.1290562028826322093951463513426
y[1] (numeric) = -7.1290562024736032265143744428472
absolute error = 4.090289828807719084954e-10
relative error = 5.7374913486497852951132762111054e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.774
Order of pole = 0.3313
x[1] = -0.05
y[1] (analytic) = -7.1276816130277210746228437424935
y[1] (numeric) = -7.1276816126180034803445287304573
absolute error = 4.097175942783150120362e-10
relative error = 5.7482589223605032102437453719367e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.774
Order of pole = 0.3313
x[1] = -0.049
y[1] (analytic) = -7.1263071251300586413513652858693
y[1] (numeric) = -7.1263071247196520405183135426747
absolute error = 4.104066008330517431946e-10
relative error = 5.7590361126284129814511889002539e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.774
Order of pole = 0.3313
x[1] = -0.048
y[1] (analytic) = -7.1249327391917122571065275042751
y[1] (numeric) = -7.1249327387806162544928424153869
absolute error = 4.110960026136850888882e-10
relative error = 5.7698229255188991493809783334085e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=259.4MB, alloc=4.5MB, time=28.64
Complex estimate of poles used
Radius of convergence = 9.774
Order of pole = 0.3313
x[1] = -0.047
y[1] (analytic) = -7.1235584552147504551788369960465
y[1] (numeric) = -7.1235584548029646554898722282963
absolute error = 4.117857996889647677502e-10
relative error = 5.7806193671018435033982294279363e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.774
Order of pole = 0.3313
x[1] = -0.046
y[1] (analytic) = -7.1221842732012429548297998165831
y[1] (numeric) = -7.122184272788766962702112566486
absolute error = 4.124759921276872500971e-10
relative error = 5.7914254434516287951137810295784e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.773
Order of pole = 0.3313
x[1] = -0.045
y[1] (analytic) = -7.120810193153260661498371142157
y[1] (numeric) = -7.1208101927400940814996753642443
absolute error = 4.131665799986957779127e-10
relative error = 5.8022411606471424554113434161045e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.773
Order of pole = 0.3313
x[1] = -0.044
y[1] (analytic) = -7.1194362150728756670075452759734
y[1] (numeric) = -7.1194362146590181036366648911245
absolute error = 4.138575633708803848489e-10
relative error = 5.8130665247717803149863634666452e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.773
Order of pole = 0.3313
x[1] = -0.043
y[1] (analytic) = -7.1180623389621612497710860565059
y[1] (numeric) = -7.1180623385476123074579081402633
absolute error = 4.145489423131779162426e-10
relative error = 5.8239015419134503283903102435437e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.773
Order of pole = 0.3313
x[1] = -0.042
y[1] (analytic) = -7.1166885648231918750003977281815
y[1] (numeric) = -7.1166885644079511581058256790323
absolute error = 4.152407168945720491492e-10
relative error = 5.8347462181645763015909350860151e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.773
Order of pole = 0.3313
x[1] = -0.041
y[1] (analytic) = -7.1153148926580431949115363345419
y[1] (numeric) = -7.1153148922421103077274430221481
absolute error = 4.159328871840933123938e-10
relative error = 5.8456005596221016230675075943849e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.772
Order of pole = 0.3313
x[1] = -0.04
y[1] (analytic) = -7.1139413224687920489323616940519
y[1] (numeric) = -7.1139413220521665956815425874139
absolute error = 4.166254532508191066380e-10
relative error = 5.8564645723874929984150745962283e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.772
Order of pole = 0.3313
x[1] = -0.039
y[1] (analytic) = -7.1125678542575164639098300187819
y[1] (numeric) = -7.1125678538401980487459562943183
absolute error = 4.173184151638737244636e-10
relative error = 5.8673382625667441884795502512651e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.772
Order of pole = 0.3313
x[1] = -0.038
y[1] (analytic) = -7.1111944880262956543174272362392
y[1] (numeric) = -7.1111944876082838813249988657654
absolute error = 4.180117729924283704738e-10
relative error = 5.8782216362703797510356339723295e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.772
Order of pole = 0.3313
x[1] = -0.037
y[1] (analytic) = -7.1098212237772100224627430746693
y[1] (numeric) = -7.1098212233585044956570418932604
absolute error = 4.187055268057011814089e-10
relative error = 5.8891146996134587859689356442601e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=263.2MB, alloc=4.5MB, time=29.07
Complex estimate of poles used
Radius of convergence = 9.772
Order of pole = 0.3313
x[1] = -0.036
y[1] (analytic) = -7.1084480615123411586951859722084
y[1] (numeric) = -7.108448061092941482022228725926
absolute error = 4.193996766729572462824e-10
relative error = 5.9000174587155786840488295228877e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.771
Order of pole = 0.3313
x[1] = -0.035
y[1] (analytic) = -7.1070750012337718416138388703047
y[1] (numeric) = -7.1070750008136776189503302437743
absolute error = 4.200942226635086265304e-10
relative error = 5.9109299197008788791957740633857e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.771
Order of pole = 0.3313
x[1] = -0.034
y[1] (analytic) = -7.1057020429435860382754559518878
y[1] (numeric) = -7.1057020425227968734287415757091
absolute error = 4.207891648467143761787e-10
relative error = 5.9218520886980446043085264099851e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.771
Order of pole = 0.3313
x[1] = -0.033
y[1] (analytic) = -7.1043291866438689044026003848118
y[1] (numeric) = -7.104329186222384401110619822784
absolute error = 4.214845032919805620278e-10
relative error = 5.9327839718403106506576610100614e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.771
Order of pole = 0.3313
x[1] = -0.032
y[1] (analytic) = -7.1029564323367067845919231311457
y[1] (numeric) = -7.1029564319145265465231628472921
absolute error = 4.221802380687602838536e-10
relative error = 5.9437255752654651308180214157276e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.771
Order of pole = 0.3313
x[1] = -0.031
y[1] (analytic) = -7.101583780024187212522582882938
y[1] (numeric) = -7.1015837796013108432760291883132
absolute error = 4.228763692465536946248e-10
relative error = 5.9546769051158532451577508177984e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.771
Order of pole = 0.3314
x[1] = -0.03
y[1] (analytic) = -7.1002112297083989111648071851321
y[1] (numeric) = -7.1002112292848260142698991643942
absolute error = 4.235728968949080207379e-10
relative error = 5.9656379675383810519001641818878e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.77
Order of pole = 0.3314
x[1] = -0.029
y[1] (analytic) = -7.0988387813914317929885948063582
y[1] (numeric) = -7.09883878096716197190517722409
absolute error = 4.242698210834175822682e-10
relative error = 5.9766087686845192407395314197913e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.77
Order of pole = 0.3314
x[1] = -0.028
y[1] (analytic) = -7.0974664350753769601725594183791
y[1] (numeric) = -7.0974664346504098182908356051416
absolute error = 4.249671418817238132375e-10
relative error = 5.9875893147103069100242161067460e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.77
Order of pole = 0.3314
x[1] = -0.027
y[1] (analytic) = -7.0960941907623267048129146450195
y[1] (numeric) = -7.0960941903366618454533993631189
absolute error = 4.256648593595152819006e-10
relative error = 5.9985796117763553475403626550578e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.77
Order of pole = 0.3314
x[1] = -0.026
y[1] (analytic) = -7.0947220484543745091326005414509
y[1] (numeric) = -7.0947220480280115355460728304066
absolute error = 4.263629735865277110443e-10
relative error = 6.0095796660478518148109767701403e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=267.0MB, alloc=4.5MB, time=29.49
Complex estimate of poles used
Radius of convergence = 9.77
Order of pole = 0.3314
x[1] = -0.025
y[1] (analytic) = -7.0933500081536150456905515647702
y[1] (numeric) = -7.0933500077265535610580075664608
absolute error = 4.270614846325439983094e-10
relative error = 6.0205894836945633350619522112583e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.769
Order of pole = 0.3314
x[1] = -0.024
y[1] (analytic) = -7.0919780698621441775911060968396
y[1] (numeric) = -7.0919780694343837850237118603163
absolute error = 4.277603925673942365233e-10
relative error = 6.0316090708908404846839298337849e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.769
Order of pole = 0.3314
x[1] = -0.023
y[1] (analytic) = -7.0906062335820589586935575804275
y[1] (numeric) = -7.0906062331535992612326018463738
absolute error = 4.284596974609557340537e-10
relative error = 6.0426384338156211883415709449728e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.769
Order of pole = 0.3314
x[1] = -0.022
y[1] (analytic) = -7.0892344993154576338218473297257
y[1] (numeric) = -7.0892344988862982344386942945473
absolute error = 4.291593993831530351784e-10
relative error = 6.0536775786524345176634187290600e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.769
Order of pole = 0.3314
x[1] = -0.021
y[1] (analytic) = -7.0878628670644396389743990763724
y[1] (numeric) = -7.087862866634580140570441135903
absolute error = 4.298594984039579404694e-10
relative error = 6.0647265115894044934905640378073e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.769
Order of pole = 0.3314
x[1] = -0.02
y[1] (analytic) = -7.0864913368311056015340953121694
y[1] (numeric) = -7.0864913364005456069407057849708
absolute error = 4.305599945933895271986e-10
relative error = 6.0757852388192538917907098743810e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.768
Order of pole = 0.3314
x[1] = -0.019
y[1] (analytic) = -7.0851199086175573404783954897173
y[1] (numeric) = -7.0851199081862964524568813199616
absolute error = 4.312608880215141697557e-10
relative error = 6.0868537665393080531086871373808e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.768
Order of pole = 0.3314
x[1] = -0.018
y[1] (analytic) = -7.083748582425897866589596142258
y[1] (numeric) = -7.0837485819939356878311505821725
absolute error = 4.319621787584455600855e-10
relative error = 6.0979321009514986956586120822244e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.768
Order of pole = 0.3314
x[1] = -0.017
y[1] (analytic) = -7.082377358258231382665232984058
y[1] (numeric) = -7.0823773578255675157908882559155
absolute error = 4.326638668743447281425e-10
relative error = 6.1090202482623677320317254849869e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.768
Order of pole = 0.3314
x[1] = -0.016
y[1] (analytic) = -7.0810062361166632837286250527138
y[1] (numeric) = -7.0810062356832973312892049903526
absolute error = 4.333659524394200623612e-10
relative error = 6.1201182146830710895009728198449e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.768
Order of pole = 0.3314
x[1] = -0.015
y[1] (analytic) = -7.0796352160033001572395609548187
y[1] (numeric) = -7.079635215569231721715633624675
absolute error = 4.340684355239273301437e-10
relative error = 6.1312260064293825339485538928247e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.767
Order of pole = 0.3314
memory used=270.8MB, alloc=4.5MB, time=29.92
x[1] = -0.014
y[1] (analytic) = -7.0782642979202497833051272764763
y[1] (numeric) = -7.0782642974854784671069575781117
absolute error = 4.347713161981696983646e-10
relative error = 6.1423436297216974974201050159923e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.767
Order of pole = 0.3314
x[1] = -0.013
y[1] (analytic) = -7.0768934818696211348906792201989
y[1] (numeric) = -7.0768934814341465403581814663055
absolute error = 4.354745945324977538934e-10
relative error = 6.1534710907850369093120069839914e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.767
Order of pole = 0.3314
x[1] = -0.012
y[1] (analytic) = -7.0755227678535243780309535297778
y[1] (numeric) = -7.0755227674173461074336440056459
absolute error = 4.361782705973095241319e-10
relative error = 6.1646083958490510311601608541880e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.767
Order of pole = 0.3314
x[1] = -0.011
y[1] (analytic) = -7.0741521558740708720413237647681
y[1] (numeric) = -7.074152155437188527578273267197
absolute error = 4.368823444630504975711e-10
relative error = 6.1757555511480232950974746467998e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.766
Order of pole = 0.3314
x[1] = -0.01
y[1] (analytic) = -7.0727816459333731697291979862759
y[1] (numeric) = -7.0727816454957863535289843419126
absolute error = 4.375868162002136443633e-10
relative error = 6.1869125629208741459229860926977e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.766
Order of pole = 0.3314
x[1] = -0.009
y[1] (analytic) = -7.0714112380335450176055589157924
y[1] (numeric) = -7.0714112375952533317262194788796
absolute error = 4.382916858793394369128e-10
relative error = 6.1980794374111648868343456075730e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.766
Order of pole = 0.3314
x[1] = -0.008
y[1] (analytic) = -7.0700409321767013560966466288648
y[1] (numeric) = -7.0700409317377044025256307583829
absolute error = 4.389969535710158704819e-10
relative error = 6.2092561808671015287806962057962e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.766
Order of pole = 0.3314
x[1] = -0.007
y[1] (analytic) = -7.0686707283649583197557838454509
y[1] (numeric) = -7.0686707279252557004099053616359
absolute error = 4.397026193458784838150e-10
relative error = 6.2204427995415386434792151074656e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.766
Order of pole = 0.3314
x[1] = -0.006
y[1] (analytic) = -7.0673006266004332374753438788529
y[1] (numeric) = -7.0673006261600245542007334990724
absolute error = 4.404086832746103797805e-10
relative error = 6.2316392996919832200947833028946e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.765
Order of pole = 0.3314
x[1] = -0.005
y[1] (analytic) = -7.0659306268852446326988613051742
y[1] (numeric) = -7.0659306264441294872709190591462
absolute error = 4.411151454279422460280e-10
relative error = 6.2428456875805985255511115745117e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.765
Order of pole = 0.3314
x[1] = -0.004
y[1] (analytic) = -7.0645607292215122236332854152996
y[1] (numeric) = -7.0645607287796902177566330396361
absolute error = 4.418220058766523756635e-10
relative error = 6.2540619694742079685152075674204e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.765
Order of pole = 0.3314
x[1] = -0.003
y[1] (analytic) = -7.0631909336113569234613765114492
y[1] (numeric) = -7.0631909331688276587698098235066
absolute error = 4.425292646915666879426e-10
relative error = 6.2652881516442989670589055280147e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=274.6MB, alloc=4.5MB, time=30.35
Complex estimate of poles used
Radius of convergence = 9.765
Order of pole = 0.3314
x[1] = -0.002
y[1] (analytic) = -7.0618212400569008405542451104033
y[1] (numeric) = -7.0618212396136639186106863614238
absolute error = 4.432369219435587489795e-10
relative error = 6.2765242403670268199700310447238e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.765
Order of pole = 0.3314
x[1] = -0.001
y[1] (analytic) = -7.0604516485602672786840341155531
y[1] (numeric) = -7.0604516481163223009804843230794
absolute error = 4.439449777035497924737e-10
relative error = 6.2877702419232185817437988754530e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.764
Order of pole = 0.3314
x[1] = 0
y[1] (analytic) = -7.0590821591235807372367440199794
y[1] (numeric) = -7.0590821586789273051942352795261
absolute error = 4.446534320425087404533e-10
relative error = 6.2990261625983769412425893776750e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.764
Order of pole = 0.3314
x[1] = 0.001
y[1] (analytic) = -7.0577127717489669114252012028156
y[1] (numeric) = -7.0577127713036046263937489787791
absolute error = 4.453622850314522240365e-10
relative error = 6.3102920086826841040504850484501e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.764
Order of pole = 0.3314
x[1] = 0.002
y[1] (analytic) = -7.056343486438552692502169381201
y[1] (numeric) = -7.0563434859924811557607247769907
absolute error = 4.460715367414446042103e-10
relative error = 6.3215677864710056785121417339390e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.764
Order of pole = 0.3314
x[1] = 0.003
y[1] (analytic) = -7.0549743031944661679736042801801
y[1] (numeric) = -7.0549743027476849807300062875557
absolute error = 4.467811872435979926244e-10
relative error = 6.3328535022628945654313768507540e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.764
Order of pole = 0.3314
x[1] = 0.004
y[1] (analytic) = -7.0536052220188366218120515829623
y[1] (numeric) = -7.0536052215713453852029793105576
absolute error = 4.474912366090722724047e-10
relative error = 6.3441491623625948514955508473111e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.763
Order of pole = 0.3314
x[1] = 0.005
y[1] (analytic) = -7.0522362429137945346701882239993
y[1] (numeric) = -7.0522362424655928497611131050164
absolute error = 4.482016849090751189829e-10
relative error = 6.3554547730790457063798979206823e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.763
Order of pole = 0.3314
x[1] = 0.006
y[1] (analytic) = -7.0508673658814715840945070873948
y[1] (numeric) = -7.0508673654325590518796450664515
absolute error = 4.489125322148620209433e-10
relative error = 6.3667703407258852835511293536143e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.763
Order of pole = 0.3314
x[1] = 0.007
y[1] (analytic) = -7.0494985909240006447391451732117
y[1] (numeric) = -7.0494985904743768661414088723243
absolute error = 4.496237785977363008874e-10
relative error = 6.3780958716214546247825685180673e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.763
Order of pole = 0.3314
x[1] = 0.008
y[1] (analytic) = -7.0481299180435157885798552942913
y[1] (numeric) = -7.0481299175931803644508061579763
absolute error = 4.503354241290491363150e-10
relative error = 6.3894313720888015683661364916912e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=278.4MB, alloc=4.6MB, time=30.79
Complex estimate of poles used
Radius of convergence = 9.763
Order of pole = 0.3314
x[1] = 0.009
y[1] (analytic) = -7.0467613472421522851281213662547
y[1] (numeric) = -7.0467613467911048162479217857321
absolute error = 4.510474688801995805226e-10
relative error = 6.4007768484556846610362837030495e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.762
Order of pole = 0.3314
x[1] = 0.01
y[1] (analytic) = -7.0453928785220466016454173534061
y[1] (numeric) = -7.0453928780702866887227827698855
absolute error = 4.517599129226345835206e-10
relative error = 6.4121323070545770736309204095331e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.762
Order of pole = 0.3314
x[1] = 0.011
y[1] (analytic) = -7.0440245118853364033576099333078
y[1] (numeric) = -7.0440245114328636470297609203429
absolute error = 4.524727563278490129649e-10
relative error = 6.4234977542226705204306771636243e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.762
Order of pole = 0.3314
x[1] = 0.012
y[1] (analytic) = -7.042656247334160553669504942855
y[1] (numeric) = -7.0426562468809745545021192677453
absolute error = 4.531859991673856751097e-10
relative error = 6.4348731963018791822767644853846e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.762
Order of pole = 0.3314
x[1] = 0.013
y[1] (analytic) = -7.0412880848706591143795376687201
y[1] (numeric) = -7.0412880844167594728667023329468
absolute error = 4.538996415128353357733e-10
relative error = 6.4462586396388436333548259841577e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.762
Order of pole = 0.3314
x[1] = 0.014
y[1] (analytic) = -7.0399200244969733458946070450999
y[1] (numeric) = -7.0399200240423596624587703037754
absolute error = 4.546136834358367413245e-10
relative error = 6.4576540905849347717564368051716e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.761
Order of pole = 0.3314
x[1] = 0.015
y[1] (analytic) = -7.0385520662152457074450538217423
y[1] (numeric) = -7.0385520657599175824369771820572
absolute error = 4.553281250080766396851e-10
relative error = 6.4690595554962577537581608884395e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.761
Order of pole = 0.3314
x[1] = 0.016
y[1] (analytic) = -7.0371842100276198572997827652846
y[1] (numeric) = -7.037184209571576890998492963935
absolute error = 4.560429663012898013496e-10
relative error = 6.4804750407336559318375627003810e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.761
Order of pole = 0.3314
x[1] = 0.017
y[1] (analytic) = -7.0358164559362406529815289569875
y[1] (numeric) = -7.0358164554794824455942699165649
absolute error = 4.567582073872590404226e-10
relative error = 6.4919005526627147964370698161671e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.761
Order of pole = 0.3314
x[1] = 0.018
y[1] (analytic) = -7.0344488039432541514822682500013
y[1] (numeric) = -7.0344488034857803031444530143274
absolute error = 4.574738483378152356739e-10
relative error = 6.5033360976537659214794901414817e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.761
Order of pole = 0.3314
x[1] = 0.019
y[1] (analytic) = -7.0330812540508076094787719493505
y[1] (numeric) = -7.0330812535926177202539345977407
absolute error = 4.581898892248373516098e-10
relative error = 6.5147816820818909136176640360136e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=282.2MB, alloc=4.6MB, time=31.22
Complex estimate of poles used
Radius of convergence = 9.76
Order of pole = 0.3314
x[1] = 0.02
y[1] (analytic) = -7.0317138062610494835483057778803
y[1] (numeric) = -7.0317138058021431534280533183168
absolute error = 4.589063301202524595635e-10
relative error = 6.5262373123269253652632763279802e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.76
Order of pole = 0.3314
x[1] = 0.021
y[1] (analytic) = -7.0303464605761294303844731914528
y[1] (numeric) = -7.0303464601165062592884374326519
absolute error = 4.596231710960357588009e-10
relative error = 6.5377029947734628113460428742799e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.76
Order of pole = 0.3314
x[1] = 0.022
y[1] (analytic) = -7.028979216998198307013203106744
y[1] (numeric) = -7.0289792165378578947889925090976
absolute error = 4.603404122242105976464e-10
relative error = 6.5491787358108586898724913056591e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.76
Order of pole = 0.3314
x[1] = 0.023
y[1] (analytic) = -7.0276120755294081710088821050317
y[1] (numeric) = -7.0276120750683501174320336104081
absolute error = 4.610580535768484946236e-10
relative error = 6.5606645418332343062156346937226e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.76
Order of pole = 0.3314
x[1] = 0.024
y[1] (analytic) = -7.026245036171912280710631175429
y[1] (numeric) = -7.0262450357101361854845620158142
absolute error = 4.617760952260691596148e-10
relative error = 6.5721604192394808011948194323717e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.759
Order of pole = 0.3314
x[1] = 0.025
y[1] (analytic) = -7.0248780989278650954387270610632
y[1] (numeric) = -7.0248780984653705581946865460255
absolute error = 4.624945372440405150377e-10
relative error = 6.5836663744332631229268260737028e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.759
Order of pole = 0.3314
x[1] = 0.026
y[1] (analytic) = -7.0235112637994222757111682717545
y[1] (numeric) = -7.0235112633362088960081895547144
absolute error = 4.632133797029787170401e-10
relative error = 6.5951824138230240024634416572483e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.759
Order of pole = 0.3314
x[1] = 0.027
y[1] (analytic) = -7.0221445307887406834603858268005
y[1] (numeric) = -7.0221445303248080607852376500896
absolute error = 4.639326226751481767109e-10
relative error = 6.6067085438219879331951424291998e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.759
Order of pole = 0.3314
x[1] = 0.028
y[1] (analytic) = -7.0207778998979783822500987915273
y[1] (numeric) = -7.0207778994333261160172372102179
absolute error = 4.646522662328615813094e-10
relative error = 6.6182447708481651540531931685414e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.759
Order of pole = 0.3314
x[1] = 0.029
y[1] (analytic) = -7.0194113711292946374923146713181
y[1] (numeric) = -7.0194113706639223270438347558055
absolute error = 4.653723104484799155126e-10
relative error = 6.6297911013243556365097516937881e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.758
Order of pole = 0.3314
x[1] = 0.03
y[1] (analytic) = -7.0180449444848499166644747268829
y[1] (numeric) = -7.0180449440187571612700622442041
absolute error = 4.660927553944124826788e-10
relative error = 6.6413475416781530753556162162543e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=286.1MB, alloc=4.6MB, time=31.64
Complex estimate of poles used
Radius of convergence = 9.758
Order of pole = 0.3314
x[1] = 0.031
y[1] (analytic) = -7.0166786199668058895267442745874
y[1] (numeric) = -7.0166786194999922883836273484579
absolute error = 4.668136011431169261295e-10
relative error = 6.6529140983419488832879512951905e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.758
Order of pole = 0.3314
x[1] = 0.032
y[1] (analytic) = -7.0153123975773254283394480357108
y[1] (numeric) = -7.0153123971097905805723487852615
absolute error = 4.675348477670992504493e-10
relative error = 6.6644907777529361893075914196855e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.758
Order of pole = 0.3314
x[1] = 0.033
y[1] (analytic) = -7.0139462773185726080806505985532
y[1] (numeric) = -7.0139462768503161127417367557509
absolute error = 4.682564953389138428023e-10
relative error = 6.6760775863531138409084101488412e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.757
Order of pole = 0.3314
x[1] = 0.034
y[1] (analytic) = -7.012580259192712706663882057369
y[1] (numeric) = -7.0125802587237341627327185631024
absolute error = 4.689785439311634942666e-10
relative error = 6.6876745305892904100854200211544e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.757
Order of pole = 0.3314
x[1] = 0.035
y[1] (analytic) = -7.0112143432019122051560088921543
y[1] (numeric) = -7.0112143427322112115395094709675
absolute error = 4.697009936164994211868e-10
relative error = 6.6992816169130882031640614419960e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.757
Order of pole = 0.3313
x[1] = 0.036
y[1] (analytic) = -7.0098485293483387879952501533675
y[1] (numeric) = -7.0098485288779149435276288668244
absolute error = 4.704238444676212865431e-10
relative error = 6.7108988517809472744345955503376e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.757
Order of pole = 0.3313
x[1] = 0.037
y[1] (analytic) = -7.0084828176341613432093390157184
y[1] (numeric) = -7.0084828171630142466520617943789
absolute error = 4.711470965572772213395e-10
relative error = 6.7225262416541294436311361372297e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.757
Order of pole = 0.3313
x[1] = 0.038
y[1] (analytic) = -7.0071172080615499626338297652099
y[1] (numeric) = -7.007117207589679212675565919202
absolute error = 4.718707499582638460079e-10
relative error = 6.7341637929987223172135697661539e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.756
Order of pole = 0.3313
x[1] = 0.039
y[1] (analytic) = -7.0057517006326759421305502836738
y[1] (numeric) = -7.0057517001600811373871239918424
absolute error = 4.725948047434262918314e-10
relative error = 6.7458115122856433135033273355969e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.756
Order of pole = 0.3313
x[1] = 0.04
y[1] (analytic) = -7.0043862953497117818062000950911
y[1] (numeric) = -7.0043862948763925208205418727071
absolute error = 4.733192609856582223840e-10
relative error = 6.7574694059906436916369598155603e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.756
Order of pole = 0.3313
x[1] = 0.041
y[1] (analytic) = -7.0030209922148311862310940380433
y[1] (numeric) = -7.0030209917407870674731921830543
absolute error = 4.740441187579018549890e-10
relative error = 6.7691374805943125843742386611688e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.756
Order of pole = 0.3313
x[1] = 0.042
memory used=289.9MB, alloc=4.6MB, time=32.07
y[1] (analytic) = -7.0016557912302090646580516286927
y[1] (numeric) = -7.001655790755439686524903646498
absolute error = 4.747693781331479821947e-10
relative error = 6.7808157425820810347447123366519e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.756
Order of pole = 0.3313
x[1] = 0.043
y[1] (analytic) = -7.0002906923980215312414321787415
y[1] (numeric) = -7.0002906919225264920569961854744
absolute error = 4.754950391844359932671e-10
relative error = 6.7925041984442260365323372269879e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.755
Order of pole = 0.3313
x[1] = 0.044
y[1] (analytic) = -6.9989256957204459052563157328771
y[1] (numeric) = -6.9989256952442248032714618371753
absolute error = 4.762211019848538957018e-10
relative error = 6.8042028546758745786335186712093e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.755
Order of pole = 0.3313
x[1] = 0.045
y[1] (analytic) = -6.9975608011996607113178298902582
y[1] (numeric) = -6.9975608007227131447102915535062
absolute error = 4.769475666075383367520e-10
relative error = 6.8159117177770076932482105961830e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.755
Order of pole = 0.3313
x[1] = 0.046
y[1] (analytic) = -6.9961960088378456796006225746553
y[1] (numeric) = -6.9961960083601712464749479496791
absolute error = 4.776744331256746249762e-10
relative error = 6.8276307942524645079594238535899e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.755
Order of pole = 0.3313
x[1] = 0.047
y[1] (analytic) = -6.9948313186371817460584808179057
y[1] (numeric) = -6.9948313181587800444459840661051
absolute error = 4.784017016124967518006e-10
relative error = 6.8393600906119463016336301127964e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.755
Order of pole = 0.3313
x[1] = 0.048
y[1] (analytic) = -6.9934667305998510526440956214063
y[1] (numeric) = -6.9934667301207216805028082083031
absolute error = 4.791293721412874131032e-10
relative error = 6.8510996133700205642460297564732e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.754
Order of pole = 0.3313
x[1] = 0.049
y[1] (analytic) = -6.9921022447280369475289729604077
y[1] (numeric) = -6.9921022442481795027435949295959
absolute error = 4.798574447853780308118e-10
relative error = 6.8628493690461250605231454423194e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.754
Order of pole = 0.3313
x[1] = 0.05
y[1] (analytic) = -6.9907378610239239853234909959406
y[1] (numeric) = -6.9907378605433380657053422214173
absolute error = 4.805859196181487745233e-10
relative error = 6.8746093641645718975124638870329e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.754
Order of pole = 0.3313
x[1] = 0.051
y[1] (analytic) = -6.9893735794896979272971035592457
y[1] (numeric) = -6.989373579008383130584074976108
absolute error = 4.813147967130285831377e-10
relative error = 6.8863796052545515959887139815869e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.754
Order of pole = 0.3313
x[1] = 0.052
y[1] (analytic) = -6.9880094001275457415986899736421
y[1] (numeric) = -6.9880093996455016654551947871301
absolute error = 4.820440761434951865120e-10
relative error = 6.8981600988501371657750870683545e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.753
Order of pole = 0.3313
x[1] = 0.053
y[1] (analytic) = -6.9866453229396556034770512788177
y[1] (numeric) = -6.9866453224568818454939761516862
absolute error = 4.827737579830751271315e-10
relative error = 6.9099508514902881849476155384346e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=293.7MB, alloc=4.6MB, time=32.50
Complex estimate of poles used
Radius of convergence = 9.753
Order of pole = 0.3313
x[1] = 0.054
y[1] (analytic) = -6.9852813479282168955015529225763
y[1] (numeric) = -6.9852813474447130531962091407786
absolute error = 4.835038423053437817977e-10
relative error = 6.9217518697188548829152113918454e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.753
Order of pole = 0.3313
x[1] = 0.055
y[1] (analytic) = -6.9839174750954202077829139851382
y[1] (numeric) = -6.983917474611185878598988601802
absolute error = 4.842343291839253833362e-10
relative error = 6.9335631600845822274279911163299e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.753
Order of pole = 0.3313
x[1] = 0.056
y[1] (analytic) = -6.9825537044434573381941430011345
y[1] (numeric) = -6.9825537039584921195016499588137
absolute error = 4.849652186924930423208e-10
relative error = 6.9453847291411140154634795941698e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.753
Order of pole = 0.3313
x[1] = 0.057
y[1] (analytic) = -6.9811900359745212925916204444953
y[1] (numeric) = -6.9811900354888247816868516756792
absolute error = 4.856965109047687688161e-10
relative error = 6.9572165834469969680275828694941e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.752
Order of pole = 0.3313
x[1] = 0.058
y[1] (analytic) = -6.9798264696908062850363279414848
y[1] (numeric) = -6.9798264692043780791418044473468
absolute error = 4.864282058945234941380e-10
relative error = 6.9690587295656848288657272121300e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.752
Order of pole = 0.3313
x[1] = 0.059
y[1] (analytic) = -6.9784630055945077380152242771874
y[1] (numeric) = -6.978463005107347434279647184556
absolute error = 4.871603037355770926314e-10
relative error = 6.9809111740655424670781199845911e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.752
Order of pole = 0.3312
x[1] = 0.06
y[1] (analytic) = -6.9770996436878222826627682608074
y[1] (numeric) = -6.97709964319992947816096985734
absolute error = 4.878928045017984034674e-10
relative error = 6.9927739235198499836760744253025e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.752
Order of pole = 0.3312
x[1] = 0.061
y[1] (analytic) = -6.9757363839729477589825885151922
y[1] (numeric) = -6.9757363834843220507154832627351
absolute error = 4.886257082671052524571e-10
relative error = 7.0046469845068068220418523643632e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.752
Order of pole = 0.3312
x[1] = 0.062
y[1] (analytic) = -6.974373226452083216069300256048
y[1] (numeric) = -6.9743732259627242009638357821651
absolute error = 4.893590151054644738829e-10
relative error = 7.0165303636095358823089035957038e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.751
Order of pole = 0.3312
x[1] = 0.063
y[1] (analytic) = -6.9730101711274289123304691263711
y[1] (numeric) = -6.9730101706373361872395771940208
absolute error = 4.900927250908919323503e-10
relative error = 7.0284240674160876397095213902063e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.751
Order of pole = 0.3312
x[1] = 0.064
y[1] (analytic) = -6.9716472180011863157087221516655
y[1] (numeric) = -6.9716472175103594774112696070108
absolute error = 4.908268382974525446547e-10
relative error = 7.0403281025194442668150830067182e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=297.5MB, alloc=4.6MB, time=32.92
Complex estimate of poles used
Radius of convergence = 9.751
Order of pole = 0.3312
x[1] = 0.065
y[1] (analytic) = -6.9702843670755581039040058815787
y[1] (numeric) = -6.9702843665839967491047455799117
absolute error = 4.915613547992603016670e-10
relative error = 7.0522424755175237597273487658944e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.751
Order of pole = 0.3312
x[1] = 0.066
y[1] (analytic) = -6.9689216183527481645959917836403
y[1] (numeric) = -6.9689216178604518899255134934007
absolute error = 4.922962746704782902396e-10
relative error = 7.0641671930131840682478142469523e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.751
Order of pole = 0.3312
x[1] = 0.067
y[1] (analytic) = -6.9675589718349615956666289548347
y[1] (numeric) = -6.9675589713419299976813102397084
absolute error = 4.930315979853187151263e-10
relative error = 7.0761022616142272299358975748290e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.75
Order of pole = 0.3312
x[1] = 0.068
y[1] (analytic) = -6.9661964275244047054228442168055
y[1] (numeric) = -6.9661964270306373806048012958818
absolute error = 4.937673248180429209237e-10
relative error = 7.0880476879334035081690083816479e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.75
Order of pole = 0.3312
x[1] = 0.069
y[1] (analytic) = -6.9648339854232850128193896605324
y[1] (numeric) = -6.9648339849287815575764282465032
absolute error = 4.945034552429614140292e-10
relative error = 7.1000034785884155341382471369089e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.75
Order of pole = 0.3312
x[1] = 0.07
y[1] (analytic) = -6.9634716455338112476818377063811
y[1] (numeric) = -6.9634716450385712583474038217644
absolute error = 4.952399893344338846167e-10
relative error = 7.1119696402019224527995419698943e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.75
Order of pole = 0.3312
x[1] = 0.071
y[1] (analytic) = -6.9621094078581933509297237454807
y[1] (numeric) = -6.9621094073622164237628545168494
absolute error = 4.959769271668692286313e-10
relative error = 7.1239461794015440728029320341981e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.749
Order of pole = 0.3312
x[1] = 0.072
y[1] (analytic) = -6.9607472723986424747998364284348
y[1] (numeric) = -6.9607472719019282059851108586335
absolute error = 4.967142688147255698013e-10
relative error = 7.1359331028198650203796414152329e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.749
Order of pole = 0.3312
x[1] = 0.073
y[1] (analytic) = -6.9593852391573709830696556674295
y[1] (numeric) = -6.9593852386599189687171453857604
absolute error = 4.974520143525102816691e-10
relative error = 7.1479304170944388972139719025216e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.749
Order of pole = 0.3312
x[1] = 0.074
y[1] (analytic) = -6.9580233081365924512809384178539
y[1] (numeric) = -6.9580233076384022874261584082143
absolute error = 4.981901638547800096396e-10
relative error = 7.1599381288677924422839677968916e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.749
Order of pole = 0.3312
x[1] = 0.075
y[1] (analytic) = -6.9566614793385216669634523056026
y[1] (numeric) = -6.9566614788395929495673116125567
absolute error = 4.989287173961406930459e-10
relative error = 7.1719562447874296976720286525767e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=301.3MB, alloc=4.6MB, time=33.35
Complex estimate of poles used
Radius of convergence = 9.749
Order of pole = 0.3312
x[1] = 0.076
y[1] (analytic) = -6.9552997527653746298588571662895
y[1] (numeric) = -6.9552997522657069548076095790536
absolute error = 4.996676750512475872359e-10
relative error = 7.1839847715058361784012805060337e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.748
Order of pole = 0.3311
x[1] = 0.077
y[1] (analytic) = -6.9539381284193685521447345626463
y[1] (numeric) = -6.9539381279189615152499292769723
absolute error = 5.004070368948052856740e-10
relative error = 7.1960237156804830462184265762805e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.748
Order of pole = 0.3311
x[1] = 0.078
y[1] (analytic) = -6.9525766063027218586587653464437
y[1] (numeric) = -6.9525766058015750556571976043817
absolute error = 5.011468030015677420620e-10
relative error = 7.2080730839738312873860656612733e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.748
Order of pole = 0.3311
x[1] = 0.079
y[1] (analytic) = -6.9512151864176541871230553313241
y[1] (numeric) = -6.9512151859157672136767170388441
absolute error = 5.018869734463382924800e-10
relative error = 7.2201328830533358945000896531326e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.748
Order of pole = 0.3311
x[1] = 0.08
y[1] (analytic) = -6.949853868766386388368609142984
y[1] (numeric) = -6.9498538682637588400646394654423
absolute error = 5.026275483039696775417e-10
relative error = 7.2322031195914500522557059850068e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.748
Order of pole = 0.3311
x[1] = 0.081
y[1] (analytic) = -6.9484926533511405265599523132106
y[1] (numeric) = -6.9484926528477719989105882486389
absolute error = 5.033685276493640645717e-10
relative error = 7.2442838002656293272754784485467e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.747
Order of pole = 0.3311
x[1] = 0.082
y[1] (analytic) = -6.9471315401741398794199016843184
y[1] (numeric) = -6.9471315396700299678624286145196
absolute error = 5.041099115574730697988e-10
relative error = 7.2563749317583358619171915204406e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.747
Order of pole = 0.3311
x[1] = 0.083
y[1] (analytic) = -6.9457705292376089384544841905962
y[1] (numeric) = -6.9457705287327572383511864100285
absolute error = 5.048517001032977805677e-10
relative error = 7.2684765207570425721001495657126e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.747
Order of pole = 0.3311
x[1] = 0.084
y[1] (analytic) = -6.9444096205437734091780040834263
y[1] (numeric) = -6.9444096200381795158161153058557
absolute error = 5.055938933618887775706e-10
relative error = 7.2805885739542373491756209580755e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.747
Order of pole = 0.3311
x[1] = 0.085
y[1] (analytic) = -6.9430488140948602113382586667887
y[1] (numeric) = -6.9430488135885237199299125096942
absolute error = 5.063364914083461570945e-10
relative error = 7.2927110980474272657850791582033e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.746
Order of pole = 0.3311
x[1] = 0.086
y[1] (analytic) = -6.9416881098930974791419026099259
y[1] (numeric) = -6.9416881093860179848240830566368
absolute error = 5.070794943178195532891e-10
relative error = 7.3048440997391427857808946364956e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.746
Order of pole = 0.3311
memory used=305.1MB, alloc=4.6MB, time=33.78
x[1] = 0.087
y[1] (analytic) = -6.9403275079407145614799609039903
y[1] (numeric) = -6.9403275074328916593144527435392
absolute error = 5.078229021655081604511e-10
relative error = 7.3169875857369419781531290767375e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.746
Order of pole = 0.3311
x[1] = 0.088
y[1] (analytic) = -6.9389670082399420221534905295579
y[1] (numeric) = -6.9389670077313753071268297742297
absolute error = 5.085667150266607553282e-10
relative error = 7.3291415627534147350140783320185e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.746
Order of pole = 0.3311
x[1] = 0.089
y[1] (analytic) = -6.9376066107930116400993909019427
y[1] (numeric) = -6.9376066102837007071228151825015
absolute error = 5.093109329765757194412e-10
relative error = 7.3413060375061869936216602678681e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.746
Order of pole = 0.331
x[1] = 0.09
y[1] (analytic) = -6.9362463156021564096163631613014
y[1] (numeric) = -6.9362463150921008535257620998779
absolute error = 5.100555560906010614235e-10
relative error = 7.3534810167179249624356874547720e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.745
Order of pole = 0.331
x[1] = 0.091
y[1] (analytic) = -6.9348861226696105405910183745758
y[1] (numeric) = -6.9348861221588099561468839351964
absolute error = 5.108005844441344393794e-10
relative error = 7.3656665071163393512313351751236e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.745
Order of pole = 0.331
x[1] = 0.092
y[1] (analytic) = -6.9335260319976094587241347163735
y[1] (numeric) = -6.9335260314860634406115115331118
absolute error = 5.115460181126231832617e-10
relative error = 7.3778625154341896052811711284321e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.745
Order of pole = 0.331
x[1] = 0.093
y[1] (analytic) = -6.9321660435883898057570636959406
y[1] (numeric) = -6.9321660430760979485854993786746
absolute error = 5.122918571715643172660e-10
relative error = 7.3900690484092881435724101569922e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.745
Order of pole = 0.331
x[1] = 0.094
y[1] (analytic) = -6.9308061574441894396982854974406
y[1] (numeric) = -6.9308061569311513380017809151953
absolute error = 5.130381016965045822453e-10
relative error = 7.4022861127845046011154588308701e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.745
Order of pole = 0.331
x[1] = 0.095
y[1] (analytic) = -6.9294463735672474350501135008006
y[1] (numeric) = -6.9294463730534626832870730426601
absolute error = 5.137847517630404581405e-10
relative error = 7.4145137153077700752844515808503e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.744
Order of pole = 0.331
x[1] = 0.096
y[1] (analytic) = -6.9280866919598040830355480504522
y[1] (numeric) = -6.9280866914452722755887298640202
absolute error = 5.145318074468181864320e-10
relative error = 7.4267518627320813762689515124684e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.744
Order of pole = 0.331
x[1] = 0.097
y[1] (analytic) = -6.9267271126241008918252795393385
y[1] (numeric) = -6.9267271121088216230017457467301
absolute error = 5.152792688235337926084e-10
relative error = 7.4390005618155052815832926693987e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.744
Order of pole = 0.331
x[1] = 0.098
y[1] (analytic) = -6.9253676355623805867648408756195
y[1] (numeric) = -6.9253676350463534507959077669674
absolute error = 5.160271359689331086521e-10
relative error = 7.4512598193211827946348253341589e-09 %
Correct digits = 10
h = 0.001
memory used=309.0MB, alloc=4.6MB, time=34.21
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.744
Order of pole = 0.331
x[1] = 0.099
y[1] (analytic) = -6.9240082607768871106019093995679
y[1] (numeric) = -6.9240082602601117016430976040205
absolute error = 5.167754089588117955474e-10
relative error = 7.4635296420173334074360926071031e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.743
Order of pole = 0.331
x[1] = 0.1
y[1] (analytic) = -6.9226489882698656237137583181896
y[1] (numeric) = -6.9226489877523415358447429523868
absolute error = 5.175240878690153658028e-10
relative error = 7.4758100366772593673453080403410e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.743
Order of pole = 0.331
x[1] = 0.101
y[1] (analytic) = -6.9212898180435625043348577251731
y[1] (numeric) = -6.9212898175252893315594185191794
absolute error = 5.182731727754392059937e-10
relative error = 7.4881010100793499479288190973821e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.743
Order of pole = 0.3309
x[1] = 0.102
y[1] (analytic) = -6.9199307501002253487846252738203
y[1] (numeric) = -6.9199307495812026850305966744955
absolute error = 5.190226637540285993248e-10
relative error = 7.5004025690070857239396745985330e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.743
Order of pole = 0.3309
x[1] = 0.103
y[1] (analytic) = -6.9185717844421029716953265706619
y[1] (numeric) = -6.9185717839223304108145478224544
absolute error = 5.197725608807787482075e-10
relative error = 7.5127147202490428503485878022889e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.743
Order of pole = 0.3309
x[1] = 0.104
y[1] (analytic) = -6.9172129210714454062401253575316
y[1] (numeric) = -6.9172129205509225420083905606708
absolute error = 5.205228642317347968608e-10
relative error = 7.5250374705988973455543130884822e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.742
Order of pole = 0.3309
x[1] = 0.105
y[1] (analytic) = -6.9158541599905039043612835499066
y[1] (numeric) = -6.9158541594692303304782916959817
absolute error = 5.212735738829918539249e-10
relative error = 7.5373708268554293786215830852934e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.742
Order of pole = 0.3309
x[1] = 0.106
y[1] (analytic) = -6.9144955012015309369985111994018
y[1] (numeric) = -6.9144955006795062470878161843033
absolute error = 5.220246899106950150985e-10
relative error = 7.5497147958225275607097921741617e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.742
Order of pole = 0.3309
x[1] = 0.107
y[1] (analytic) = -6.9131369447067801943174664483407
y[1] (numeric) = -6.913136944184003981926427062549
absolute error = 5.227762123910393857917e-10
relative error = 7.5620693843091932405795814560530e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.742
Order of pole = 0.3309
x[1] = 0.108
y[1] (analytic) = -6.9117784905085065859384055443924
y[1] (numeric) = -6.9117784899849784445381354405939
absolute error = 5.235281414002701037985e-10
relative error = 7.5744345991295448042393644150959e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.741
Order of pole = 0.3309
x[1] = 0.109
y[1] (analytic) = -6.9104201386089662411649829833182
y[1] (numeric) = -6.9104201380846857641503006213305
absolute error = 5.242804770146823619877e-10
relative error = 7.5868104471028219787186795411157e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=312.8MB, alloc=4.6MB, time=34.64
Complex estimate of poles used
Radius of convergence = 9.741
Order of pole = 0.3309
x[1] = 0.11
y[1] (analytic) = -6.9090618890104165092132018479233
y[1] (numeric) = -6.9090618884853832899025804169118
absolute error = 5.250332193106214310115e-10
relative error = 7.5991969350533901399624705426980e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.741
Order of pole = 0.3309
x[1] = 0.111
y[1] (analytic) = -6.9077037417151159594405144113721
y[1] (numeric) = -6.9077037411893295910760317293371
absolute error = 5.257863683644826820350e-10
relative error = 7.6115940698107446248968423337304e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.741
Order of pole = 0.3309
x[1] = 0.112
y[1] (analytic) = -6.9063456967253243815750730730721
y[1] (numeric) = -6.9063456961987844573223614635898
absolute error = 5.265399242527116094823e-10
relative error = 7.6240018582095150476083228417756e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.741
Order of pole = 0.3308
x[1] = 0.113
y[1] (analytic) = -6.9049877540433027859451316953949
y[1] (numeric) = -6.9049877535160088988933278415937
absolute error = 5.272938870518038538012e-10
relative error = 7.6364203070894696196698059849605e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.74
Order of pole = 0.3308
x[1] = 0.114
y[1] (analytic) = -6.9036299136713134037085974095572
y[1] (numeric) = -6.9036299131432651468702921853089
absolute error = 5.280482568383052242483e-10
relative error = 7.6488494232955194746435044684273e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.74
Order of pole = 0.3308
x[1] = 0.115
y[1] (analytic) = -6.9022721756116196870827329590363
y[1] (numeric) = -6.9022721750828166533939212373452
absolute error = 5.288030336888117216911e-10
relative error = 7.6612892136777229967159493844787e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.74
Order of pole = 0.3308
x[1] = 0.116
y[1] (analytic) = -6.9009145398664863095740096489565
y[1] (numeric) = -6.9009145393369280918940400875273
absolute error = 5.295582176799695614292e-10
relative error = 7.6737396850912901534997005190450e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.74
Order of pole = 0.3308
x[1] = 0.117
y[1] (analytic) = -6.8995570064381791662081109699359
y[1] (numeric) = -6.8995570059078653573196357739011
absolute error = 5.303138088884751960348e-10
relative error = 7.6862008443965868330089459507853e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.739
Order of pole = 0.3308
x[1] = 0.118
y[1] (analytic) = -6.898199575328965373760086964938
y[1] (numeric) = -6.8981995747978955663690116267271
absolute error = 5.310698073910753382109e-10
relative error = 7.6986726984591391847900851705053e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.739
Order of pole = 0.3308
x[1] = 0.119
y[1] (analytic) = -6.8968422465411132709846594077326
y[1] (numeric) = -6.8968422460092870577200924240633
absolute error = 5.318262132645669836693e-10
relative error = 7.7111552541496379652420060248289e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.739
Order of pole = 0.3308
x[1] = 0.12
y[1] (analytic) = -6.8954850200768924188466778616228
y[1] (numeric) = -6.8954850195443093922608804275958
absolute error = 5.325830265857974340270e-10
relative error = 7.7236485183439428871100607023462e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=316.6MB, alloc=4.6MB, time=35.07
Complex estimate of poles used
Radius of convergence = 9.739
Order of pole = 0.3308
x[1] = 0.121
y[1] (analytic) = -6.894127895938573600751726687152
y[1] (numeric) = -6.8941278954052333533200623674316
absolute error = 5.333402474316643197204e-10
relative error = 7.7361524979230869731493229642111e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.739
Order of pole = 0.3307
x[1] = 0.122
y[1] (analytic) = -6.8927708741284288227768830675635
y[1] (numeric) = -6.8927708735943309468977674446243
absolute error = 5.340978758791156229392e-10
relative error = 7.7486671997732809139889698474043e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.738
Order of pole = 0.3307
x[1] = 0.123
y[1] (analytic) = -6.8914139546487313139016261208399
y[1] (numeric) = -6.8914139541138754018964764202599
absolute error = 5.348559120051497005800e-10
relative error = 7.7611926307859174302021087904610e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.738
Order of pole = 0.3307
x[1] = 0.124
y[1] (analytic) = -6.890057137501755526238897167203
y[1] (numeric) = -6.8900571369661411703520818599866
absolute error = 5.356143558868153072164e-10
relative error = 7.7737287978575756385389322895520e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.738
Order of pole = 0.3307
x[1] = 0.125
y[1] (analytic) = -6.8887004226897771352663112210173
y[1] (numeric) = -6.888700422153403927665099602928
absolute error = 5.363732076012116180893e-10
relative error = 7.7862757078900254223811779484184e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.738
Order of pole = 0.3307
x[1] = 0.126
y[1] (analytic) = -6.8873438102150730400575197760926
y[1] (numeric) = -6.887343809677940572832031523976
absolute error = 5.371324672254882521166e-10
relative error = 7.7988333677902318064106240129737e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.737
Order of pole = 0.3307
x[1] = 0.127
y[1] (analytic) = -6.8859873000799213635137249534367
y[1] (numeric) = -6.8859872995420292286768796585168
absolute error = 5.378921348368452949199e-10
relative error = 7.8114017844703593354611015083934e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.737
Order of pole = 0.3307
x[1] = 0.128
y[1] (analytic) = -6.8846308922866014525953450805715
y[1] (numeric) = -6.8846308917479492420828117586989
absolute error = 5.386522105125333218726e-10
relative error = 7.8239809648477764576222248009468e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.737
Order of pole = 0.3307
x[1] = 0.129
y[1] (analytic) = -6.8832745868373938785538317715728
y[1] (numeric) = -6.8832745862979811842239783504092
absolute error = 5.394126943298534211636e-10
relative error = 7.8365709158450599115149627244837e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.737
Order of pole = 0.3307
x[1] = 0.13
y[1] (analytic) = -6.8819183837345804371636385770629
y[1] (numeric) = -6.8819183831944068507974813601796
absolute error = 5.401735863661572168833e-10
relative error = 7.8491716443899991178406799438174e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.737
Order of pole = 0.3306
x[1] = 0.131
y[1] (analytic) = -6.8805622829804441489543412734296
y[1] (numeric) = -6.8805622824395092622554943813038
absolute error = 5.409348866988468921258e-10
relative error = 7.8617831574156005751194052576913e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=320.4MB, alloc=4.6MB, time=35.50
Complex estimate of poles used
Radius of convergence = 9.736
Order of pole = 0.3306
x[1] = 0.132
y[1] (analytic) = -6.8792062845772692594429098606111
y[1] (numeric) = -6.8792062840355726640375346484994
absolute error = 5.416965954053752121117e-10
relative error = 7.8744054618600922596855826389508e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.736
Order of pole = 0.3306
x[1] = 0.133
y[1] (analytic) = -6.8778503885273412393661323378378
y[1] (numeric) = -6.877850387984882526802886790509
absolute error = 5.424587125632455473288e-10
relative error = 7.8870385646669280299064366158595e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.736
Order of pole = 0.3306
x[1] = 0.134
y[1] (analytic) = -6.8764945948329467849131903267813
y[1] (numeric) = -6.8764945942897255466631784300887
absolute error = 5.432212382500118966926e-10
relative error = 7.8996824727847920346549212064769e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.736
Order of pole = 0.3306
x[1] = 0.135
y[1] (analytic) = -6.8751389034963738179583866116165
y[1] (numeric) = -6.8751389029523896454151077008911
absolute error = 5.439841725432789107254e-10
relative error = 7.9123371931676031260241801231092e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.735
Order of pole = 0.3306
x[1] = 0.136
y[1] (analytic) = -6.8737833145199114862940246655584
y[1] (numeric) = -6.8737833139751639707733227508056
absolute error = 5.447475155207019147528e-10
relative error = 7.9250027327745192762704233975923e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.735
Order of pole = 0.3306
x[1] = 0.137
y[1] (analytic) = -6.8724278279058501638634402334986
y[1] (numeric) = -6.8724278273603388966034533013759
absolute error = 5.455112672599869321227e-10
relative error = 7.9376790985699419990627736393604e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.735
Order of pole = 0.3306
x[1] = 0.138
y[1] (analytic) = -6.8710724436564814509941850404121
y[1] (numeric) = -6.8710724431102060231552943329721
absolute error = 5.462754278388907074400e-10
relative error = 7.9503662975235207749455673194631e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.735
Order of pole = 0.3306
x[1] = 0.139
y[1] (analytic) = -6.8697171617740981746313626952729
y[1] (numeric) = -6.8697171612270581772961419654511
absolute error = 5.470399973352207298218e-10
relative error = 7.9630643366101574810873023629341e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.735
Order of pole = 0.3305
x[1] = 0.14
y[1] (analytic) = -6.8683619822609943885711168602679
y[1] (numeric) = -6.8683619817131894127442816040966
absolute error = 5.478049758268352561713e-10
relative error = 7.9757732228100108252944457322516e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.734
Order of pole = 0.3305
x[1] = 0.141
y[1] (analytic) = -6.867006905119465373694271755158
y[1] (numeric) = -6.8670069045708950103026284206867
absolute error = 5.485703633916433344713e-10
relative error = 7.9884929631085007843075967729447e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.734
Order of pole = 0.3305
x[1] = 0.142
y[1] (analytic) = -6.8656519303518076382001250666898
y[1] (numeric) = -6.8656519298024714780925202395947
absolute error = 5.493361601076048270951e-10
relative error = 8.0012235644963130463523754615986e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.734
Order of pole = 0.3305
memory used=324.2MB, alloc=4.6MB, time=35.94
x[1] = 0.143
y[1] (analytic) = -6.8642970579603189178403933330236
y[1] (numeric) = -6.8642970574102165517876628988847
absolute error = 5.501023660527304341389e-10
relative error = 8.0139650339694034580091383528300e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.734
Order of pole = 0.3305
x[1] = 0.144
y[1] (analytic) = -6.8629422879472981761533098731941
y[1] (numeric) = -6.8629422873964291948482281564227
absolute error = 5.508689813050817167714e-10
relative error = 8.0267173785290024753433278242779e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.733
Order of pole = 0.3305
x[1] = 0.145
y[1] (analytic) = -6.8615876203150456046978753316826
y[1] (numeric) = -6.8615876197634095987551042110797
absolute error = 5.516360059427711206029e-10
relative error = 8.0394806051816196193343539819771e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.733
Order of pole = 0.3305
x[1] = 0.146
y[1] (analytic) = -6.8602330550658626232882609082351
y[1] (numeric) = -6.8602330545134591832442989091608
absolute error = 5.524034400439619990743e-10
relative error = 8.0522547209390479356132706515813e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.733
Order of pole = 0.3305
x[1] = 0.147
y[1] (analytic) = -6.858878592202051880228364343116
y[1] (numeric) = -6.8588785916488805965414957062521
absolute error = 5.531712836868686368639e-10
relative error = 8.0650397328183684584830720172691e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.733
Order of pole = 0.3304
x[1] = 0.148
y[1] (analytic) = -6.8575242317259172525465187280486
y[1] (numeric) = -6.8575242311719777155967624547344
absolute error = 5.539395369497562733142e-10
relative error = 8.0778356478419546792580979893996e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.733
Order of pole = 0.3304
x[1] = 0.149
y[1] (analytic) = -6.8561699736397638462303542131486
y[1] (numeric) = -6.8561699730850556463194130872699
absolute error = 5.547081999109411258787e-10
relative error = 8.0906424730374770189270041919206e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.732
Order of pole = 0.3304
x[1] = 0.15
y[1] (analytic) = -6.8548158179458979964618126802111
y[1] (numeric) = -6.854815817390420723813022266626
absolute error = 5.554772726487904135851e-10
relative error = 8.1034602154379073050912397018829e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.732
Order of pole = 0.3304
x[1] = 0.151
y[1] (analytic) = -6.8534617646466272678523154527791
y[1] (numeric) = -6.8534617640903805126105930722575
absolute error = 5.562467552417223805216e-10
relative error = 8.1162888820815232532811867474390e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.732
Order of pole = 0.3304
x[1] = 0.152
y[1] (analytic) = -6.8521078137442604546780841134637
y[1] (numeric) = -6.8521078131872438069098777941259
absolute error = 5.570166477682063193378e-10
relative error = 8.1291284800119129525304465407045e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.732
Order of pole = 0.3304
x[1] = 0.153
y[1] (analytic) = -6.8507539652411075811156144990622
y[1] (numeric) = -6.8507539646833206308088519042928
absolute error = 5.577869503067625947694e-10
relative error = 8.1419790162779793553469301898543e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.731
Order of pole = 0.3304
x[1] = 0.154
y[1] (analytic) = -6.8494002191394799014773039440594
y[1] (numeric) = -6.8494002185809222385413412768809
memory used=328.0MB, alloc=4.6MB, time=36.37
absolute error = 5.585576629359626671785e-10
relative error = 8.1548404979339447719655940790963e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.731
Order of pole = 0.3304
x[1] = 0.155
y[1] (analytic) = -6.8480465754416899004472318431717
y[1] (numeric) = -6.8480465748823611147128027270555
absolute error = 5.593287857344291161162e-10
relative error = 8.1677129320393553689850552778863e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.731
Order of pole = 0.3303
x[1] = 0.156
y[1] (analytic) = -6.8466930341500512933170936036356
y[1] (numeric) = -6.846693033589950974536257939735
absolute error = 5.601003187808356639006e-10
relative error = 8.1805963256590856722918462228350e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.731
Order of pole = 0.3303
x[1] = 0.157
y[1] (analytic) = -6.8453395952668790262222880580178
y[1] (numeric) = -6.8453395947060067640683808587989
absolute error = 5.608722621539071992189e-10
relative error = 8.1934906858633430744038059514638e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.731
Order of pole = 0.3303
x[1] = 0.158
y[1] (analytic) = -6.8439862587944892763781584083614
y[1] (numeric) = -6.8439862582328446604457386076172
absolute error = 5.616446159324198007442e-10
relative error = 8.2063960197276723460998454598853e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.73
Order of pole = 0.3303
x[1] = 0.159
y[1] (analytic) = -6.8426330247351994523163867725603
y[1] (numeric) = -6.842633024172782072121186011786
absolute error = 5.624173801952007607743e-10
relative error = 8.2193123343329601524471707819967e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.73
Order of pole = 0.3303
x[1] = 0.16
y[1] (analytic) = -6.841279893091328194121542403898
y[1] (numeric) = -6.8412798925281376391004137950084
absolute error = 5.631905550211286088896e-10
relative error = 8.2322396367654395731881262773015e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.73
Order of pole = 0.3303
x[1] = 0.161
y[1] (analytic) = -6.8399268638651953736677836547508
y[1] (numeric) = -6.8399268633012312331786505191211
absolute error = 5.639641404891331356297e-10
relative error = 8.2451779341166946274853088164271e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.73
Order of pole = 0.3303
x[1] = 0.162
y[1] (analytic) = -6.8385739370591220948557137555114
y[1] (numeric) = -6.8385739364943839581775183393233
absolute error = 5.647381366781954161881e-10
relative error = 8.2581272334836648030206748283924e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.729
Order of pole = 0.3302
x[1] = 0.163
y[1] (analytic) = -6.8372211126754306938493904798523
y[1] (numeric) = -6.8372211121099181501820426457223
absolute error = 5.655125436673478341300e-10
relative error = 8.2710875419686495895262580192096e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.729
Order of pole = 0.3302
x[1] = 0.164
y[1] (analytic) = -6.8358683907164447393134897674947
y[1] (numeric) = -6.8358683901501573777778156623693
absolute error = 5.662873615356741051254e-10
relative error = 8.2840588666793130166369888377954e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.729
Order of pole = 0.3302
x[1] = 0.165
y[1] (analytic) = -6.8345157711844890326506233757212
y[1] (numeric) = -6.8345157706174264422883140750173
absolute error = 5.670625903623093007039e-10
relative error = 8.2970412147286881961637002722537e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=331.8MB, alloc=4.6MB, time=36.80
Complex estimate of poles used
Radius of convergence = 9.729
Order of pole = 0.3302
x[1] = 0.166
y[1] (analytic) = -6.8331632540818896082388106309171
y[1] (numeric) = -6.8331632535140513780123707588888
absolute error = 5.678382302264398720283e-10
relative error = 8.3100345932351818687484569354921e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.729
Order of pole = 0.3302
x[1] = 0.167
y[1] (analytic) = -6.8318108394109737336691043514897
y[1] (numeric) = -6.8318108388423594524618006778027
absolute error = 5.686142812073036736870e-10
relative error = 8.3230390093225789549067308868676e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.728
Order of pole = 0.3302
x[1] = 0.168
y[1] (analytic) = -6.8304585271740699099833710135729
y[1] (numeric) = -6.8304585266046791665991810260648
absolute error = 5.693907433841899875081e-10
relative error = 8.3360544701200471105034096705699e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.728
Order of pole = 0.3302
x[1] = 0.169
y[1] (analytic) = -6.8291063173735078719122252309763
y[1] (numeric) = -6.8291063168033402550757856845874
absolute error = 5.701676168364395463889e-10
relative error = 8.3490809827621412865749769788963e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.728
Order of pole = 0.3301
x[1] = 0.17
y[1] (analytic) = -6.8277542100116185881131186209085
y[1] (numeric) = -6.8277542094406736864696740627591
absolute error = 5.709449016434445581494e-10
relative error = 8.3621185543888082936282923877952e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.728
Order of pole = 0.3301
x[1] = 0.171
y[1] (analytic) = -6.8264022050907342614085831270486
y[1] (numeric) = -6.8264022045190116635239343976468
absolute error = 5.717225978846487294018e-10
relative error = 8.3751671921453913703034277788410e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.727
Order of pole = 0.3301
x[1] = 0.172
y[1] (analytic) = -6.8250503026131883290246288716102
y[1] (numeric) = -6.8250503020406876233850815821689
absolute error = 5.725007056395472894413e-10
relative error = 8.3882269031826347564827080227458e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.727
Order of pole = 0.3301
x[1] = 0.173
y[1] (analytic) = -6.8236985025813154628292966080936
y[1] (numeric) = -6.8236985020080362378416095939375
absolute error = 5.732792249876870141561e-10
relative error = 8.4012976946566882708197860885934e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.727
Order of pole = 0.3301
x[1] = 0.174
y[1] (analytic) = -6.8223468049974515695713648464814
y[1] (numeric) = -6.8223468044233934135626985965257
absolute error = 5.740581560086662499557e-10
relative error = 8.4143795737291118926801284709785e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.727
Order of pole = 0.3301
x[1] = 0.175
y[1] (analytic) = -6.8209952098639337911192117226969
y[1] (numeric) = -6.8209952092890962923370767849753
absolute error = 5.748374987821349377216e-10
relative error = 8.4274725475668803485575742051589e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.726
Order of pole = 0.3301
x[1] = 0.176
y[1] (analytic) = -6.8196437171831005046998316841925
y[1] (numeric) = -6.8196437166074832513120370474186
absolute error = 5.756172533877946367739e-10
relative error = 8.4405766233423877028762978840483e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=335.7MB, alloc=4.6MB, time=37.23
Complex estimate of poles used
Radius of convergence = 9.726
Order of pole = 0.33
x[1] = 0.177
y[1] (analytic) = -6.8182923269572913231380070636058
y[1] (numeric) = -6.8182923263808939032326085147458
absolute error = 5.763974199053985488600e-10
relative error = 8.4536918082334519532736249102428e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.726
Order of pole = 0.33
x[1] = 0.178
y[1] (analytic) = -6.816941039188847095095634612472
y[1] (numeric) = -6.8169410386116690966808830703097
absolute error = 5.771779984147515421623e-10
relative error = 8.4668181094233196303228717266585e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.726
Order of pole = 0.33
x[1] = 0.179
y[1] (analytic) = -6.815589853880109905311207067042
y[1] (numeric) = -6.8155898533021509163154968917167
absolute error = 5.779589889957101753253e-10
relative error = 8.4799555341006704017066698074245e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.726
Order of pole = 0.33
x[1] = 0.18
y[1] (analytic) = -6.8142387710334230748394498183152
y[1] (numeric) = -6.8142387704546826831112670968133
absolute error = 5.787403917281827215019e-10
relative error = 8.4931040894596216808424416391382e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.725
Order of pole = 0.33
x[1] = 0.181
y[1] (analytic) = -6.8128877906511311612911127584542
y[1] (numeric) = -6.8128877900716089545989835660343
absolute error = 5.795222066921291924199e-10
relative error = 8.5062637826997332399793111912006e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.725
Order of pole = 0.33
x[1] = 0.182
y[1] (analytic) = -6.8115369127355799590729173758089
y[1] (numeric) = -6.8115369121552755251053560133402
absolute error = 5.803044339675613624687e-10
relative error = 8.5194346210260118277710789370606e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.725
Order of pole = 0.33
x[1] = 0.183
y[1] (analytic) = -6.8101861372891164996276591708318
y[1] (numeric) = -6.8101861367080294259931163780278
absolute error = 5.810870736345427928040e-10
relative error = 8.5326166116489157912975922205371e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.725
Order of pole = 0.3299
x[1] = 0.184
y[1] (analytic) = -6.8088354643140890516744654652322
y[1] (numeric) = -6.8088354637322189259012766097587
absolute error = 5.818701257731888554735e-10
relative error = 8.5458097617843597025831671407834e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.724
Order of pole = 0.3299
x[1] = 0.185
y[1] (analytic) = -6.8074848938128471214492086767708
y[1] (numeric) = -6.8074848932301935309855419192088
absolute error = 5.826535904636667575620e-10
relative error = 8.5590140786537189895932206183497e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.724
Order of pole = 0.3299
x[1] = 0.186
y[1] (analytic) = -6.8061344257877414529450751321564
y[1] (numeric) = -6.8061344252043039851588795668003
absolute error = 5.834374677861955653561e-10
relative error = 8.5722295694838345717166860498341e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.724
Order of pole = 0.3299
x[1] = 0.187
y[1] (analytic) = -6.8047840602411240281532894905663
y[1] (numeric) = -6.8047840596569022703322432620386
absolute error = 5.842217578210462285277e-10
relative error = 8.5854562415070174997271003683634e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=339.5MB, alloc=4.6MB, time=37.65
Complex estimate of poles used
Radius of convergence = 9.724
Order of pole = 0.3299
x[1] = 0.188
y[1] (analytic) = -6.8034337971753480673039948503734
y[1] (numeric) = -6.8034337965903416066554532460332
absolute error = 5.850064606485416043402e-10
relative error = 8.5986941019610536002843197233473e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.724
Order of pole = 0.3299
x[1] = 0.189
y[1] (analytic) = -6.8020836365927680291072886117138
y[1] (numeric) = -6.8020836360069764527582321298436
absolute error = 5.857915763490564818702e-10
relative error = 8.6119431580892081248757320143097e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.723
Order of pole = 0.3299
x[1] = 0.19
y[1] (analytic) = -6.8007335784957396109944141676
y[1] (numeric) = -6.800733577909162505991396561348
absolute error = 5.865771050030176062520e-10
relative error = 8.6252034171402304033088840975792e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.723
Order of pole = 0.3298
x[1] = 0.191
y[1] (analytic) = -6.7993836228866197493591084963349
y[1] (numeric) = -6.7993836222992567026682047933935
absolute error = 5.873630466909037029414e-10
relative error = 8.6384748863683585017087792633158e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.723
Order of pole = 0.3298
x[1] = 0.192
y[1] (analytic) = -6.7980337697677666197991057280431
y[1] (numeric) = -6.7980337691796172183058602260449
absolute error = 5.881494014932455019982e-10
relative error = 8.6517575730333238850156836154161e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.723
Order of pole = 0.3298
x[1] = 0.193
y[1] (analytic) = -6.7966840191415396373577967581991
y[1] (numeric) = -6.7966840185526034678671709958097
absolute error = 5.889361694906257623894e-10
relative error = 8.6650514844003560840175252387955e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.722
Order of pole = 0.3298
x[1] = 0.194
y[1] (analytic) = -6.7953343710102994567660449810865
y[1] (numeric) = -6.7953343704205761060023656847746
absolute error = 5.897233507636792963119e-10
relative error = 8.6783566277401873669039309768534e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.722
Order of pole = 0.3298
x[1] = 0.195
y[1] (analytic) = -6.793984825376407972684158216186
y[1] (numeric) = -6.7939848247858970272910652226502
absolute error = 5.905109453930929935358e-10
relative error = 8.6916730103290574153627764311636e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.722
Order of pole = 0.3298
x[1] = 0.196
y[1] (analytic) = -6.7926353822422283199440169005443
y[1] (numeric) = -6.7926353816509293664844110547785
absolute error = 5.912989534596058457658e-10
relative error = 8.7050006394487180051871573029488e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.722
Order of pole = 0.3297
x[1] = 0.197
y[1] (analytic) = -6.791286041610124873791358620243
y[1] (numeric) = -6.7912860410180374987473496492185
absolute error = 5.920873750440089710245e-10
relative error = 8.7183395223864376914534030170051e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.721
Order of pole = 0.3297
x[1] = 0.198
y[1] (analytic) = -6.789936803482463250128219054138
y[1] (numeric) = -6.7899368028895870399010734160841
absolute error = 5.928762102271456380539e-10
relative error = 8.7316896664350064982203902643659e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.721
Order of pole = 0.3297
memory used=343.3MB, alloc=4.6MB, time=38.08
x[1] = 0.199
y[1] (analytic) = -6.7885876678616103057555294031067
y[1] (numeric) = -6.7885876672679448466656181123686
absolute error = 5.936654590899112907381e-10
relative error = 8.7450510788927406127990279478771e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.721
Order of pole = 0.3297
x[1] = 0.2
y[1] (analytic) = -6.7872386347499341386158703780936
y[1] (numeric) = -6.7872386341554790169026168055493
absolute error = 5.944551217132535725443e-10
relative error = 8.7584237670634870845539327864814e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.721
Order of pole = 0.3297
x[1] = 0.201
y[1] (analytic) = -6.7858897041498040880363828203126
y[1] (numeric) = -6.7858897035545588898582104693259
absolute error = 5.952451981781723509867e-10
relative error = 8.7718077382566285283097757741870e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.721
Order of pole = 0.3297
x[1] = 0.202
y[1] (analytic) = -6.7845408760635907349718350270122
y[1] (numeric) = -6.7845408754675550464061152849064
absolute error = 5.960356885657197421058e-10
relative error = 8.7852029997870878322565462344808e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.72
Order of pole = 0.3296
x[1] = 0.203
y[1] (analytic) = -6.7831921504936659022478468562853
y[1] (numeric) = -6.7831921498968393092908467213131
absolute error = 5.968265929570001349722e-10
relative error = 8.7986095589753328704925323962501e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.72
Order of pole = 0.3296
x[1] = 0.204
y[1] (analytic) = -6.7818435274424026548042706844503
y[1] (numeric) = -6.781843526844784743371100468242
absolute error = 5.976179114331702162083e-10
relative error = 8.8120274231473812201125356615829e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.72
Order of pole = 0.3296
x[1] = 0.205
y[1] (analytic) = -6.7804950069121752999387292895969
y[1] (numeric) = -6.7804950063137656558632902950686
absolute error = 5.984096440754389945283e-10
relative error = 8.8254565996348048828519237406595e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.72
Order of pole = 0.3296
x[1] = 0.206
y[1] (analytic) = -6.779146588905359387550310734955
y[1] (numeric) = -6.7791465883061575965852429096531
absolute error = 5.992017909650678253019e-10
relative error = 8.8388970957747350113708981893829e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.719
Order of pole = 0.3296
x[1] = 0.207
y[1] (analytic) = -6.7777982734243317103834203257933
y[1] (numeric) = -6.7777982728243373582000498906578
absolute error = 5.999943521833704351355e-10
relative error = 8.8523489189098666400923370246510e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.719
Order of pole = 0.3296
x[1] = 0.208
y[1] (analytic) = -6.7764500604714703042717897136234
y[1] (numeric) = -6.7764500598706829764600767671498
absolute error = 6.007873278117129464736e-10
relative error = 8.8658120763884634206377702433328e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.719
Order of pole = 0.3295
x[1] = 0.209
y[1] (analytic) = -6.7751019500491544483826432215438
y[1] (numeric) = -6.7751019494475737304511293193224
absolute error = 6.015807179315139022214e-10
relative error = 8.8792865755643623618810230094538e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.719
Order of pole = 0.3295
x[1] = 0.21
y[1] (analytic) = -6.7737539421597646654610214646138
y[1] (numeric) = -6.7737539415573901428367771742279
absolute error = 6.023745226242442903859e-10
relative error = 8.8927724237969785745844676450639e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=347.1MB, alloc=4.6MB, time=38.50
Complex estimate of poles used
Radius of convergence = 9.718
Order of pole = 0.3295
x[1] = 0.211
y[1] (analytic) = -6.7724060368056827220742623392142
y[1] (numeric) = -6.772406036202513980102834770476
absolute error = 6.031687419714275687382e-10
relative error = 8.9062696284513100206625029181587e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.718
Order of pole = 0.3295
x[1] = 0.212
y[1] (analytic) = -6.7710582339892916288566394554074
y[1] (numeric) = -6.771058233385328252801999765911
absolute error = 6.039633760546396894964e-10
relative error = 8.9197781968979422670682111984454e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.718
Order of pole = 0.3295
x[1] = 0.213
y[1] (analytic) = -6.7697105337129756407541580863687
y[1] (numeric) = -6.7697105331082172157986489623425
absolute error = 6.047584249555091240262e-10
relative error = 8.9332981365130532442651605864788e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.718
Order of pole = 0.3295
x[1] = 0.214
y[1] (analytic) = -6.768362935979120257269508709028
y[1] (numeric) = -6.7683629353735663685137918214629
absolute error = 6.055538887557168875651e-10
relative error = 8.9468294546784180093762730603456e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.717
Order of pole = 0.3294
x[1] = 0.215
y[1] (analytic) = -6.7670154407901122227071782101106
y[1] (numeric) = -6.7670154401837624551701816461477
absolute error = 6.063497675369965639629e-10
relative error = 8.9603721587814135139067601434429e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.717
Order of pole = 0.3294
x[1] = 0.216
y[1] (analytic) = -6.7656680481483395264187188318392
y[1] (numeric) = -6.7656680475411934650375845013928
absolute error = 6.071460613811343304464e-10
relative error = 8.9739262562150233761626250214290e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.717
Order of pole = 0.3294
x[1] = 0.217
y[1] (analytic) = -6.7643207580561914030481749316053
y[1] (numeric) = -6.7643207574482486326782059492056
absolute error = 6.079427703699689823997e-10
relative error = 8.9874917543778426582424945715961e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.717
Order of pole = 0.3294
x[1] = 0.218
y[1] (analytic) = -6.7629735705160583327776676299945
y[1] (numeric) = -6.7629735699073184381922756718245
absolute error = 6.087398945853919581700e-10
relative error = 9.0010686606740826477538960987549e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.717
Order of pole = 0.3294
x[1] = 0.219
y[1] (analytic) = -6.7616264855303320415731374215937
y[1] (numeric) = -6.7616264849207946074637900577054
absolute error = 6.095374341093473638883e-10
relative error = 9.0146569825135756441021507947057e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.716
Order of pole = 0.3294
x[1] = 0.22
y[1] (analytic) = -6.7602795031014055014302448230856
y[1] (numeric) = -6.7602795024910701124064128247713
absolute error = 6.103353890238319983143e-10
relative error = 9.0282567273117797494941782546720e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.716
Order of pole = 0.3293
x[1] = 0.221
y[1] (analytic) = -6.7589326232316729306204291331832
y[1] (numeric) = -6.7589326226205391712095337554838
absolute error = 6.111337594108953776994e-10
relative error = 9.0418679024897836645718844678390e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=350.9MB, alloc=4.6MB, time=38.93
Complex estimate of poles used
Radius of convergence = 9.716
Order of pole = 0.3293
x[1] = 0.222
y[1] (analytic) = -6.7575858459235297939371253790249
y[1] (numeric) = -6.7575858453115972485844856183546
absolute error = 6.119325453526397606703e-10
relative error = 9.0554905154743114887169318427560e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.716
Order of pole = 0.3293
x[1] = 0.223
y[1] (analytic) = -6.7562391711793728029421395237113
y[1] (numeric) = -6.7562391705666410560109193505774
absolute error = 6.127317469312201731339e-10
relative error = 9.0691245736977275250421122793698e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.715
Order of pole = 0.3293
x[1] = 0.224
y[1] (analytic) = -6.754892599001599916212182009721
y[1] (numeric) = -6.7548925983880685519833375765197
absolute error = 6.135313642288444332013e-10
relative error = 9.0827700845980410900416345509548e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.715
Order of pole = 0.3293
x[1] = 0.225
y[1] (analytic) = -6.7535461293926103395855597130087
y[1] (numeric) = -6.7535461287782789422577865368766
absolute error = 6.143313973277731761321e-10
relative error = 9.0964270556189113279229348331353e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.715
Order of pole = 0.3293
x[1] = 0.226
y[1] (analytic) = -6.7521997623548045264090263826473
y[1] (numeric) = -6.7521997617396726800987065033477
absolute error = 6.151318463103198792996e-10
relative error = 9.1100954942096520296337671150543e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.715
Order of pole = 0.3292
x[1] = 0.227
y[1] (analytic) = -6.7508534978905841777847916409384
y[1] (numeric) = -6.7508534972746514665259407537612
absolute error = 6.159327112588508871772e-10
relative error = 9.1237754078252364565939061077825e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.714
Order of pole = 0.3292
x[1] = 0.228
y[1] (analytic) = -6.7495073360023522428176886189702
y[1] (numeric) = -6.7495073353856182505619031826282
absolute error = 6.167339922557854363420e-10
relative error = 9.1374668039263021690770996111922e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.714
Order of pole = 0.3292
x[1] = 0.229
y[1] (analytic) = -6.7481612766925129188625003026759
y[1] (numeric) = -6.7481612760749772294789046221731
absolute error = 6.175356893835956805028e-10
relative error = 9.1511696899791558593547894911360e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.714
Order of pole = 0.3292
x[1] = 0.23
y[1] (analytic) = -6.7468153199634716517714446644914
y[1] (numeric) = -6.7468153193451338490466379489462
absolute error = 6.183378027248067155452e-10
relative error = 9.1648840734557781894983800123675e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.714
Order of pole = 0.3292
x[1] = 0.231
y[1] (analytic) = -6.7454694658176351361418186557832
y[1] (numeric) = -6.745469465198494803779822051185
absolute error = 6.191403323619966045982e-10
relative error = 9.1786099618338286339101150447157e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.714
Order of pole = 0.3292
x[1] = 0.232
y[1] (analytic) = -6.7441237142574113155638011352771
y[1] (numeric) = -6.7441237136374680371860047321537
absolute error = 6.199432783777964031234e-10
relative error = 9.1923473625966503266038038379229e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=354.7MB, alloc=4.6MB, time=39.36
Complex estimate of poles used
Radius of convergence = 9.713
Order of pole = 0.3291
x[1] = 0.233
y[1] (analytic) = -6.74277806528520938286841480877
y[1] (numeric) = -6.7427780646644627420135246247503
absolute error = 6.207466408548901840197e-10
relative error = 9.2060962832332749131350551661478e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.713
Order of pole = 0.3291
x[1] = 0.234
y[1] (analytic) = -6.7414325189034397803756472554858
y[1] (numeric) = -6.7414325182818893604996321927319
absolute error = 6.215504198760150627539e-10
relative error = 9.2198567312384274073401059502387e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.713
Order of pole = 0.3291
x[1] = 0.235
y[1] (analytic) = -6.7400870751145142001427311164778
y[1] (numeric) = -6.7400870744921595846187698939708
absolute error = 6.223546155239612225070e-10
relative error = 9.2336287141125310527369483073056e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.713
Order of pole = 0.3291
x[1] = 0.236
y[1] (analytic) = -6.7387417339208455842125835205607
y[1] (numeric) = -6.7387417332976863563310115812155
absolute error = 6.231592278815719393452e-10
relative error = 9.2474122393617121887271427356262e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.712
Order of pole = 0.3291
x[1] = 0.237
y[1] (analytic) = -6.7373964953248481248624048232982
y[1] (numeric) = -6.7373964947008838678306612158908
absolute error = 6.239642570317436074074e-10
relative error = 9.2612073144978051214816325199192e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.712
Order of pole = 0.329
x[1] = 0.238
y[1] (analytic) = -6.7360513593289372648524367346514
y[1] (numeric) = -6.7360513587041675617950109705345
absolute error = 6.247697030574257641169e-10
relative error = 9.2750139470383569996297291210465e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.712
Order of pole = 0.329
x[1] = 0.239
y[1] (analytic) = -6.7347063259355296976748799109382
y[1] (numeric) = -6.7347063253099541316332587955281
absolute error = 6.255755660416211154101e-10
relative error = 9.2888321445066326946493845060541e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.712
Order of pole = 0.329
x[1] = 0.24
y[1] (analytic) = -6.7333613951470433678029710868306
y[1] (numeric) = -6.7333613945206615217355855258417
absolute error = 6.263818460673855609889e-10
relative error = 9.3026619144316196860631361080017e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.711
Order of pole = 0.329
x[1] = 0.241
y[1] (analytic) = -6.7320165669658974709402198231651
y[1] (numeric) = -6.7320165663387089277223916035738
absolute error = 6.271885432178282195913e-10
relative error = 9.3165032643480329513630511647020e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.711
Order of pole = 0.329
x[1] = 0.242
y[1] (analytic) = -6.7306718413945124542698049464133
y[1] (numeric) = -6.7306718407665167966936934921293
absolute error = 6.279956575761114542840e-10
relative error = 9.3303562017963198607260458159266e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.711
Order of pole = 0.329
x[1] = 0.243
y[1] (analytic) = -6.7293272184353100167041307557145
y[1] (numeric) = -6.7293272178065068274786798579402
absolute error = 6.288031892254508977743e-10
relative error = 9.3442207343226650764844581093413e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
memory used=358.5MB, alloc=4.6MB, time=39.78
Radius of convergence = 9.711
Order of pole = 0.3289
x[1] = 0.244
y[1] (analytic) = -6.7279826980907131091345430734399
y[1] (numeric) = -6.7279826974611019708854275956952
absolute error = 6.296111382491154777447e-10
relative error = 9.3580968694789954574073617805688e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.71
Order of pole = 0.3289
x[1] = 0.245
y[1] (analytic) = -6.7266382803631459346812052153121
y[1] (numeric) = -6.726638279732726429950777773107
absolute error = 6.304195047304274422051e-10
relative error = 9.3719846148229849677218308937799e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.71
Order of pole = 0.3289
x[1] = 0.246
y[1] (analytic) = -6.7252939652550339489431339561747
y[1] (numeric) = -6.7252939646238056601903715713061
absolute error = 6.312282887527623848686e-10
relative error = 9.3858839779180595909682985216135e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.71
Order of pole = 0.3289
x[1] = 0.247
y[1] (analytic) = -6.7239497527688038602483955675599
y[1] (numeric) = -6.7239497521367663698488462970145
absolute error = 6.320374903995492705454e-10
relative error = 9.3997949663334022486132705559701e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.71
Order of pole = 0.3289
x[1] = 0.248
y[1] (analytic) = -6.7226056429068836299044620032714
y[1] (numeric) = -6.7226056422740365201501915427117
absolute error = 6.328471097542704605597e-10
relative error = 9.4137175876439577234972326511847e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.709
Order of pole = 0.3289
x[1] = 0.249
y[1] (analytic) = -6.721261635671702472448727309256
y[1] (numeric) = -6.72126163503804532554826557107
absolute error = 6.336571469004617381860e-10
relative error = 9.4276518494304375880692462335689e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.709
Order of pole = 0.3288
x[1] = 0.25
y[1] (analytic) = -6.719917731065690855899184334101
y[1] (numeric) = -6.7199177304312232539774719999963
absolute error = 6.344676019217123341047e-10
relative error = 9.4415977592793251374117336130634e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.709
Order of pole = 0.3288
x[1] = 0.251
y[1] (analytic) = -6.7185739290912805020052618165626
y[1] (numeric) = -6.7185739284560020271035968646805
absolute error = 6.352784749016649518821e-10
relative error = 9.4555553247828803271363529629647e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.709
Order of pole = 0.3288
x[1] = 0.252
y[1] (analytic) = -6.7172302297509043864988219265802
y[1] (numeric) = -6.7172302291148146205748061331126
absolute error = 6.360897659240157934676e-10
relative error = 9.4695245535391447160488799629076e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.709
Order of pole = 0.3288
x[1] = 0.253
y[1] (analytic) = -6.715886633046996739345318336306
y[1] (numeric) = -6.7158866324100952642728037515931
absolute error = 6.369014750725145847129e-10
relative error = 9.4835054531519464136595280317657e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.708
Order of pole = 0.3288
x[1] = 0.254
y[1] (analytic) = -6.7145431389819930449951148977357
y[1] (numeric) = -6.7145431383442794425641502968225
absolute error = 6.377136024309646009132e-10
relative error = 9.4974980312309050325437725586214e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.708
Order of pole = 0.3287
x[1] = 0.255
y[1] (analytic) = -6.7131997475583300426349650035858
y[1] (numeric) = -6.7131997469198038945517423112195
memory used=362.4MB, alloc=4.6MB, time=40.21
absolute error = 6.385261480832226923663e-10
relative error = 9.5115022953914366454976766658362e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.708
Order of pole = 0.3287
x[1] = 0.256
y[1] (analytic) = -6.711856458778445726439651708134
y[1] (numeric) = -6.7118564581391066143264523981781
absolute error = 6.393391121131993099559e-10
relative error = 9.5255182532547587475865737730703e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.708
Order of pole = 0.3287
x[1] = 0.257
y[1] (analytic) = -6.7105132726447793458237886847914
y[1] (numeric) = -6.7105132720046268512189301540384
absolute error = 6.401524946048585307530e-10
relative error = 9.5395459124478952230013335991450e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.707
Order of pole = 0.3287
x[1] = 0.258
y[1] (analytic) = -6.709170189159771405693782097244
y[1] (numeric) = -6.7091701885188051100515640136052
absolute error = 6.409662956422180836388e-10
relative error = 9.5535852806036813167778958179100e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.707
Order of pole = 0.3287
x[1] = 0.259
y[1] (analytic) = -6.7078272083258636666999534610644
y[1] (numeric) = -6.7078272076840831513906040861147
absolute error = 6.417805153093493749497e-10
relative error = 9.5676363653607686113941002309095e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.707
Order of pole = 0.3286
x[1] = 0.26
y[1] (analytic) = -6.7064843301454991454888235727505
y[1] (numeric) = -6.7064843295029039917984460586087
absolute error = 6.425951536903775141418e-10
relative error = 9.5816991743636300082101474903880e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.707
Order of pole = 0.3286
x[1] = 0.261
y[1] (analytic) = -6.7051415546211221149555575832163
y[1] (numeric) = -6.7051415539777119040860762437405
absolute error = 6.434102108694813394758e-10
relative error = 9.5957737152625647137711669255348e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.706
Order of pole = 0.3286
x[1] = 0.262
y[1] (analytic) = -6.7037988817551781044965712928238
y[1] (numeric) = -6.7037988811109524175656778490987
absolute error = 6.442256869308934437251e-10
relative error = 9.6098599957137032310187374884723e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.706
Order of pole = 0.3286
x[1] = 0.263
y[1] (analytic) = -6.7024563115501139002622987450994
y[1] (numeric) = -6.702456310905072318303398545197
absolute error = 6.450415819589001999024e-10
relative error = 9.6239580233790123553463813428848e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.706
Order of pole = 0.3286
x[1] = 0.264
y[1] (analytic) = -6.7011138440083775454101211963504
y[1] (numeric) = -6.7011138433625196493722794093422
absolute error = 6.458578960378417870082e-10
relative error = 9.6380678059263001755548185930093e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.706
Order of pole = 0.3286
x[1] = 0.265
y[1] (analytic) = -6.6997714791324183403574575384545
y[1] (numeric) = -6.6997714784857437111053453226542
absolute error = 6.466746292521122158003e-10
relative error = 9.6521893510292210796986774967907e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.705
Order of pole = 0.3285
x[1] = 0.266
y[1] (analytic) = -6.6984292169246868430350162521589
y[1] (numeric) = -6.6984292162771950613488568975748
absolute error = 6.474917816861593545841e-10
relative error = 9.6663226663672807658267890963137e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=366.2MB, alloc=4.6MB, time=40.65
Complex estimate of poles used
Radius of convergence = 9.705
Order of pole = 0.3285
x[1] = 0.267
y[1] (analytic) = -6.6970870573876348691402089682904
y[1] (numeric) = -6.6970870567393255157157240132664
absolute error = 6.483093534244849550240e-10
relative error = 9.6804677596258412576256622399078e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.705
Order of pole = 0.3285
x[1] = 0.268
y[1] (analytic) = -6.6957450005237154923907257143374
y[1] (numeric) = -6.6957449998745881478390810363617
absolute error = 6.491273445516446779757e-10
relative error = 9.6946246384961259249682806220969e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.705
Order of pole = 0.3285
x[1] = 0.269
y[1] (analytic) = -6.6944030463353830447782719239301
y[1] (numeric) = -6.6944030456854372896260238045916
absolute error = 6.499457551522481193385e-10
relative error = 9.7087933106752245093599080947431e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.704
Order of pole = 0.3285
x[1] = 0.27
y[1] (analytic) = -6.6930611948250931168224672868102
y[1] (numeric) = -6.693061194174328531511508450879
absolute error = 6.507645853109588359312e-10
relative error = 9.7229737838660981543398066650533e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.704
Order of pole = 0.3284
x[1] = 0.271
y[1] (analytic) = -6.6917194459953025578249065169378
y[1] (numeric) = -6.6917194453437187227124121455516
absolute error = 6.515838351124943713862e-10
relative error = 9.7371660657775844407633691924242e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.704
Order of pole = 0.3284
x[1] = 0.272
y[1] (analytic) = -6.6903777998484694761233821164536
y[1] (numeric) = -6.6903777991960659714817558343874
absolute error = 6.524035046416262820662e-10
relative error = 9.7513701641244024270355243633302e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.704
Order of pole = 0.3284
x[1] = 0.273
y[1] (analytic) = -6.689036256387053239346269213273
y[1] (numeric) = -6.6890362557338296453630890502716
absolute error = 6.532235939831801630014e-10
relative error = 9.7655860866271576942692089689435e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.704
Order of pole = 0.3284
x[1] = 0.274
y[1] (analytic) = -6.6876948156135144746670725501546
y[1] (numeric) = -6.6876948149594703714450368763061
absolute error = 6.540441032220356738485e-10
relative error = 9.7798138410123473963934977646905e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.703
Order of pole = 0.3284
x[1] = 0.275
y[1] (analytic) = -6.6863534775303150690591357031458
y[1] (numeric) = -6.6863534768754500366160091382766
absolute error = 6.548650324431265648692e-10
relative error = 9.7940534350123653151821773235126e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.703
Order of pole = 0.3283
x[1] = 0.276
y[1] (analytic) = -6.6850122421399181695505126073764
y[1] (numeric) = -6.685012241484231787819071904444
absolute error = 6.556863817314407029324e-10
relative error = 9.8083048763655069202707335005548e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.703
Order of pole = 0.3283
x[1] = 0.277
y[1] (analytic) = -6.683671109444788183479001468227
y[1] (numeric) = -6.6836711087882800323069813706928
absolute error = 6.565081511720200975342e-10
relative error = 9.8225681728159744340787143542782e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=370.0MB, alloc=4.6MB, time=41.08
Complex estimate of poles used
Radius of convergence = 9.703
Order of pole = 0.3283
x[1] = 0.278
y[1] (analytic) = -6.6823300794473907787473411359728
y[1] (numeric) = -6.6823300787900604378973802091298
absolute error = 6.573303408499609268430e-10
relative error = 9.8368433321138819017518305864529e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.702
Order of pole = 0.3283
x[1] = 0.279
y[1] (analytic) = -6.6809891521501928840785700220537
y[1] (numeric) = -6.6809891514920399332281564582922
absolute error = 6.581529508504135637615e-10
relative error = 9.8511303620152602660063352964475e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.702
Order of pole = 0.3283
x[1] = 0.28
y[1] (analytic) = -6.6796483275556626892715476351989
y[1] (numeric) = -6.6796483268966867080129650331861
absolute error = 6.589759812585826020128e-10
relative error = 9.8654292702820624469885849132179e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.702
Order of pole = 0.3283
x[1] = 0.281
y[1] (analytic) = -6.6783076056662696454566388156878
y[1] (numeric) = -6.6783076050064702132969119334403
absolute error = 6.597994321597268822475e-10
relative error = 9.8797400646821684271086314841588e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.702
Order of pole = 0.3282
x[1] = 0.282
y[1] (analytic) = -6.6769669864844844653515607460953
y[1] (numeric) = -6.6769669858238611617124012279249
absolute error = 6.606233036391595181704e-10
relative error = 9.8940627529893903408320886951127e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.701
Order of pole = 0.3282
x[1] = 0.283
y[1] (analytic) = -6.6756264700127791235173928169367
y[1] (numeric) = -6.6756264693513315277351448942464
absolute error = 6.614475957822479226903e-10
relative error = 9.9083973429834775694878876799345e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.701
Order of pole = 0.3282
x[1] = 0.284
y[1] (analytic) = -6.6742860562536268566147494256845
y[1] (numeric) = -6.6742860555913545479403355915955
absolute error = 6.622723086744138340890e-10
relative error = 9.9227438424501218410387556188197e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.701
Order of pole = 0.3282
x[1] = 0.285
y[1] (analytic) = -6.6729457452095021636601157877015
y[1] (numeric) = -6.6729457445464047212589824454878
absolute error = 6.630974424011333422137e-10
relative error = 9.9371022591809623348825479918736e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.701
Order of pole = 0.3282
x[1] = 0.286
y[1] (analytic) = -6.6716055368828808062823468376898
y[1] (numeric) = -6.6716055362189578092344099230003
absolute error = 6.639229970479369146895e-10
relative error = 9.9514726009735907916402557763452e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.7
Order of pole = 0.3281
x[1] = 0.287
y[1] (analytic) = -6.6702654312762398089793293003249
y[1] (numeric) = -6.670265430611490836278919877172
absolute error = 6.647489727004094231529e-10
relative error = 9.9658548756315566279494014989915e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.7
Order of pole = 0.3281
x[1] = 0.288
y[1] (analytic) = -6.6689254283920574593748070088068
y[1] (numeric) = -6.6689254277264820899306168392991
absolute error = 6.655753694441901695077e-10
relative error = 9.9802490909643720562890632345439e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=373.8MB, alloc=4.6MB, time=41.51
Complex estimate of poles used
Radius of convergence = 9.7
Order of pole = 0.3281
x[1] = 0.289
y[1] (analytic) = -6.6675855282328133084753695501217
y[1] (numeric) = -6.6675855275664111211103966379209
absolute error = 6.664021873649729122008e-10
relative error = 9.9946552547875172098043135156899e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.7
Order of pole = 0.3281
x[1] = 0.29
y[1] (analytic) = -6.6662457308009881709276043158763
y[1] (numeric) = -6.6662457301337587443790984233551
absolute error = 6.672294265485058925212e-10
relative error = 1.0009073374922445272184811436438e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.699
Order of pole = 0.3281
x[1] = 0.291
y[1] (analytic) = -6.6649060360990641252754120376244
y[1] (numeric) = -6.6649060354310070381948201767063
absolute error = 6.680570870805918609181e-10
relative error = 1.0023503459196587612541342560849e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.699
Order of pole = 0.328
x[1] = 0.292
y[1] (analytic) = -6.6635664441295245142174858856774
y[1] (numeric) = -6.6635664434606393451703977823345
absolute error = 6.688851690470881033429e-10
relative error = 1.0037945515443358925357570572738e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.699
Order of pole = 0.328
x[1] = 0.293
y[1] (analytic) = -6.6622269548948539448649542104464
y[1] (numeric) = -6.6622269542251402723310477428363
absolute error = 6.697136725339064676101e-10
relative error = 1.0052399551502162375447288545890e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.699
Order of pole = 0.328
x[1] = 0.294
y[1] (analytic) = -6.6608875683975382889991870054349
y[1] (numeric) = -6.6608875677269956913721736156535
absolute error = 6.705425976270133897814e-10
relative error = 1.0066865575218394747986964198757e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.698
Order of pole = 0.328
x[1] = 0.295
y[1] (analytic) = -6.6595482846400646833297661710596
y[1] (numeric) = -6.6595482839686927389173362504894
absolute error = 6.713719444124299205702e-10
relative error = 1.0081343594443451603586869573277e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.698
Order of pole = 0.328
x[1] = 0.296
y[1] (analytic) = -6.6582091036249215297526196585468
y[1] (numeric) = -6.658209102952719816776387906778
absolute error = 6.722017129762317517688e-10
relative error = 1.0095833617034732438440621276605e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.698
Order of pole = 0.3279
x[1] = 0.297
y[1] (analytic) = -6.6568700253545984956083195732082
y[1] (numeric) = -6.6568700246815665922037703305135
absolute error = 6.730319034045492426947e-10
relative error = 1.0110335650855645849504388881529e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.698
Order of pole = 0.3279
x[1] = 0.298
y[1] (analytic) = -6.6555310498315865139405443164757
y[1] (numeric) = -6.655531049157723998156976869814
absolute error = 6.738625157835674466617e-10
relative error = 1.0124849703775614704796681625270e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.697
Order of pole = 0.3279
x[1] = 0.299
y[1] (analytic) = -6.6541921770583777837547048461259
y[1] (numeric) = -6.6541921763836842335551787086568
absolute error = 6.746935501995261374691e-10
relative error = 1.0139375783670081318723418800436e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=377.6MB, alloc=4.6MB, time=41.93
Complex estimate of poles used
Radius of convergence = 9.697
Order of pole = 0.3279
x[1] = 0.3
y[1] (analytic) = -6.6528534070374657702767351342021
y[1] (numeric) = -6.6528534063619407635380152982875
absolute error = 6.755250067387198359146e-10
relative error = 1.0153913898420512632517716466960e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.697
Order of pole = 0.3279
x[1] = 0.301
y[1] (analytic) = -6.6515147397713452052120469021975
y[1] (numeric) = -6.6515147390949883197245490658689
absolute error = 6.763568854874978363286e-10
relative error = 1.0168464055914405399765194777433e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.697
Order of pole = 0.3279
x[1] = 0.302
y[1] (analytic) = -6.6501761752625120870046487131304
y[1] (numeric) = -6.6501761745853229004723844800015
absolute error = 6.771891865322642331289e-10
relative error = 1.0183026264045291377005109121068e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.697
Order of pole = 0.3278
x[1] = 0.303
y[1] (analytic) = -6.6488377135134636810964295002088
y[1] (numeric) = -6.6488377128354417711369515528113
absolute error = 6.780219099594779473975e-10
relative error = 1.0197600530712742519438198859503e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.696
Order of pole = 0.3278
x[1] = 0.304
y[1] (analytic) = -6.6474993545266985201866066118446
y[1] (numeric) = -6.6474993538478434643309538583654
absolute error = 6.788550558556527534792e-10
relative error = 1.0212186863822376181742108271894e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.696
Order of pole = 0.3278
x[1] = 0.305
y[1] (analytic) = -6.6461610983047164044913384528434
y[1] (numeric) = -6.6461610976250277801839811472405
absolute error = 6.796886243073573056029e-10
relative error = 1.0226785271285860324013288811385e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.696
Order of pole = 0.3278
x[1] = 0.306
y[1] (analytic) = -6.6448229448500184020035018016558
y[1] (numeric) = -6.644822944169495786602286637135
absolute error = 6.805226154012151645208e-10
relative error = 1.0241395761020918722768538743185e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.696
Order of pole = 0.3278
x[1] = 0.307
y[1] (analytic) = -6.6434848941651068487526338836529
y[1] (numeric) = -6.6434848934837498195287290594788
absolute error = 6.813570292239048241741e-10
relative error = 1.0256018340951336187140927462458e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.695
Order of pole = 0.3277
x[1] = 0.308
y[1] (analytic) = -6.6421469462524853490650392804382
y[1] (numeric) = -6.6421469455702934832028795420616
absolute error = 6.821918658621597383766e-10
relative error = 1.0270653019006963780146114104738e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.695
Order of pole = 0.3277
x[1] = 0.309
y[1] (analytic) = -6.640809101114658775824061755286
y[1] (numeric) = -6.640809100431631650421293407764
absolute error = 6.830271254027683475220e-10
relative error = 1.0285299803123724045111708808650e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.695
Order of pole = 0.3277
x[1] = 0.31
y[1] (analytic) = -6.6394713587541332707305210748526
y[1] (numeric) = -6.6394713580702704627979469695409
absolute error = 6.838628079325741053117e-10
relative error = 1.0299958701243616237226918950589e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.695
Order of pole = 0.3277
memory used=381.4MB, alloc=4.6MB, time=42.35
x[1] = 0.311
y[1] (analytic) = -6.6381337191734162445633149073785
y[1] (numeric) = -6.6381337184887173310248394018734
absolute error = 6.846989135384755055051e-10
relative error = 1.0314629721314721560247986555965e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.694
Order of pole = 0.3277
x[1] = 0.312
y[1] (analytic) = -6.6367961823750163774401858776586
y[1] (numeric) = -6.6367961816894809351327597689674
absolute error = 6.855354423074261086912e-10
relative error = 1.0329312871291208408346761862167e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.694
Order of pole = 0.3276
x[1] = 0.313
y[1] (analytic) = -6.6354587483614436190786538591277
y[1] (numeric) = -6.6354587476750712247522192900457
absolute error = 6.863723943264345690820e-10
relative error = 1.0344008159133337613115355078537e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.694
Order of pole = 0.3276
x[1] = 0.314
y[1] (analytic) = -6.6341214171352091890571135834709
y[1] (numeric) = -6.634121416447999419374548922143
absolute error = 6.872097696825646613279e-10
relative error = 1.0358715592807467695735304732976e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.694
Order of pole = 0.3276
x[1] = 0.315
y[1] (analytic) = -6.632784188698825577076097648234
y[1] (numeric) = -6.6327841880107780086131623408798
absolute error = 6.880475684629353073542e-10
relative error = 1.0373435180286060124303127859774e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.693
Order of pole = 0.3276
x[1] = 0.316
y[1] (analytic) = -6.6314470630548065432197050029766
y[1] (numeric) = -6.631447062365920752464984399756
absolute error = 6.888857907547206032206e-10
relative error = 1.0388166929547684576346324761205e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.693
Order of pole = 0.3276
x[1] = 0.317
y[1] (analytic) = -6.6301100402056671182171949945723
y[1] (numeric) = -6.6301100395159426815720451485711
absolute error = 6.897244366451498460012e-10
relative error = 1.0402910848577024206497599678623e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.693
Order of pole = 0.3275
x[1] = 0.318
y[1] (analytic) = -6.6287731201539236037047470523278
y[1] (numeric) = -6.6287731194633600974832394916417
absolute error = 6.905635062215075606861e-10
relative error = 1.0417666945364880919349312909860e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.693
Order of pole = 0.3275
x[1] = 0.319
y[1] (analytic) = -6.6274363029020935724873860936617
y[1] (numeric) = -6.6274363022106905729162525665545
absolute error = 6.914029995711335271072e-10
relative error = 1.0432435227908180647532846160056e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.692
Order of pole = 0.3275
x[1] = 0.32
y[1] (analytic) = -6.6260995884526958688010737311405
y[1] (numeric) = -6.6260995877604529520196509242572
absolute error = 6.922429167814228068833e-10
relative error = 1.0447215704209978634954443791162e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.692
Order of pole = 0.3275
x[1] = 0.321
y[1] (analytic) = -6.624762976808250608574965361743
y[1] (numeric) = -6.6247629761151673506351395913551
absolute error = 6.930832579398257703879e-10
relative error = 1.0462008382279464725244267180833e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.692
Order of pole = 0.3275
x[1] = 0.322
y[1] (analytic) = -6.623426467971279179693833219288
y[1] (numeric) = -6.6234264672773551565599850955487
absolute error = 6.939240231338481237393e-10
relative error = 1.0476813270131968655418116410353e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=385.2MB, alloc=4.6MB, time=42.78
Complex estimate of poles used
Radius of convergence = 9.692
Order of pole = 0.3274
x[1] = 0.323
y[1] (analytic) = -6.6220900619443042422606554710219
y[1] (numeric) = -6.62209006124953902980960453521
absolute error = 6.947652124510509358119e-10
relative error = 1.0491630375788965354740699450197e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.691
Order of pole = 0.3274
x[1] = 0.324
y[1] (analytic) = -6.6207537587298497288593714394349
y[1] (numeric) = -6.6207537580342429028803207741647
absolute error = 6.956068259790506652702e-10
relative error = 1.0506459707278080248818579020173e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.691
Order of pole = 0.3274
x[1] = 0.325
y[1] (analytic) = -6.6194175583304408448178030304348
y[1] (numeric) = -6.6194175576339919810122838428103
absolute error = 6.964488638055191876245e-10
relative error = 1.0521301272633094568913202569029e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.691
Order of pole = 0.3274
x[1] = 0.326
y[1] (analytic) = -6.6180814607486040684707424490748
y[1] (numeric) = -6.6180814600513127424525586267674
absolute error = 6.972913260181838223074e-10
relative error = 1.0536155079893950666465913835450e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.691
Order of pole = 0.3274
x[1] = 0.327
y[1] (analytic) = -6.6167454659868671514232062841012
y[1] (numeric) = -6.6167454652887329387183789243268
absolute error = 6.981342127048273597744e-10
relative error = 1.0551021137106757332890304185085e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.69
Order of pole = 0.3273
x[1] = 0.328
y[1] (analytic) = -6.6154095740477591188138560426467
y[1] (numeric) = -6.6154095733487815948605679540219
absolute error = 6.989775239532880886248e-10
relative error = 1.0565899452323795124580023679599e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.69
Order of pole = 0.3273
x[1] = 0.329
y[1] (analytic) = -6.6140737849338102695785852164651
y[1] (numeric) = -6.6140737842339890097271253937201
absolute error = 6.998212598514598227450e-10
relative error = 1.0580790033603521693169289215838e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.69
Order of pole = 0.3273
x[1] = 0.33
y[1] (analytic) = -6.612738098647552176714272961169
y[1] (numeric) = -6.6127380979468867562269810326949
absolute error = 7.006654204872919284741e-10
relative error = 1.0595692889010577121050115625308e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.69
Order of pole = 0.3273
x[1] = 0.331
y[1] (analytic) = -6.6114025151915176875427044699971
y[1] (numeric) = -6.6114025144900076815939151182051
absolute error = 7.015100059487893517920e-10
relative error = 1.0610608026615789262154837232354e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.689
Order of pole = 0.3273
x[1] = 0.332
y[1] (analytic) = -6.6100670345682409239746581237028
y[1] (numeric) = -6.6100670338658859076506454781744
absolute error = 7.023550163240126455284e-10
relative error = 1.0625535454496179087985267510020e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.689
Order of pole = 0.3272
x[1] = 0.333
y[1] (analytic) = -6.6087316567802572827741594982242
y[1] (numeric) = -6.6087316560770568310730815016305
absolute error = 7.032004517010779965937e-10
relative error = 1.0640475180734966038909153691522e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=389.1MB, alloc=4.6MB, time=43.20
Complex estimate of poles used
Radius of convergence = 9.689
Order of pole = 0.3272
x[1] = 0.334
y[1] (analytic) = -6.6073963818301034358229023118639
y[1] (numeric) = -6.6073963811260571236547450586293
absolute error = 7.040463121681572532346e-10
relative error = 1.0655427213421573380771856276151e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.689
Order of pole = 0.3272
x[1] = 0.335
y[1] (analytic) = -6.6060612097203173303848363937633
y[1] (numeric) = -6.6060612090154247325713584414556
absolute error = 7.048925978134779523077e-10
relative error = 1.0670391560651633566727451017300e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.688
Order of pole = 0.3272
x[1] = 0.336
y[1] (analytic) = -6.6047261404534381893709227555392
y[1] (numeric) = -6.6047261397476988806455994089591
absolute error = 7.057393087253233465801e-10
relative error = 1.0685368230526993604431002081848e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.688
Order of pole = 0.3272
x[1] = 0.337
y[1] (analytic) = -6.6033911740320065116040558479966
y[1] (numeric) = -6.6033911733254200666120234159498
absolute error = 7.065864449920324320468e-10
relative error = 1.0700357231155720428443222123473e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.688
Order of pole = 0.3272
x[1] = 0.338
y[1] (analytic) = -6.602056310458564072084153084919
y[1] (numeric) = -6.6020563097511300653821531096439
absolute error = 7.074340067019999752751e-10
relative error = 1.0715358570652106278007486423582e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.688
Order of pole = 0.3271
x[1] = 0.339
y[1] (analytic) = -6.600721549735653922253411715985
y[1] (numeric) = -6.6007215490273719283097351752177
absolute error = 7.082819939436765407673e-10
relative error = 1.0730372257136674080073092199472e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.687
Order of pole = 0.3271
x[1] = 0.34
y[1] (analytic) = -6.5993868918658203902617331309428
y[1] (numeric) = -6.5993868911566899834561646125934
absolute error = 7.091304068055685183494e-10
relative error = 1.0745398298736182837686955506062e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.687
Order of pole = 0.3271
x[1] = 0.341
y[1] (analytic) = -6.5980523368516090812323146772262
y[1] (numeric) = -6.5980523361416298358560765266483
absolute error = 7.099792453762381505779e-10
relative error = 1.0760436703583633023639699952585e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.687
Order of pole = 0.3271
x[1] = 0.342
y[1] (analytic) = -6.5967178846955668775274090732758
y[1] (numeric) = -6.5967178839847383677831055131033
absolute error = 7.108285097443035601725e-10
relative error = 1.0775487479818271979489901461104e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.687
Order of pole = 0.3271
x[1] = 0.343
y[1] (analytic) = -6.5953835354002419390142514998848
y[1] (numeric) = -6.5953835346885637390158127224164
absolute error = 7.116781999984387774684e-10
relative error = 1.0790550635585599319876665185718e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.686
Order of pole = 0.327
x[1] = 0.344
y[1] (analytic) = -6.5940492889681837033311544519633
y[1] (numeric) = -6.5940492882556553871037806840712
absolute error = 7.125283162273737678921e-10
relative error = 1.0805626179037372342185247653689e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=392.9MB, alloc=4.6MB, time=43.63
Complex estimate of poles used
Radius of convergence = 9.686
Order of pole = 0.327
x[1] = 0.345
y[1] (analytic) = -6.592715145401942886153770433178
y[1] (numeric) = -6.5927151446885640276338759737176
absolute error = 7.133788585198944594604e-10
relative error = 1.0820714118331611441566832733962e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.686
Order of pole = 0.327
x[1] = 0.346
y[1] (analytic) = -6.5913811047040714814615225759894
y[1] (numeric) = -6.5913811039898416544966798056907
absolute error = 7.142298269648427702987e-10
relative error = 1.0835814461632605531258952485300e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.686
Order of pole = 0.327
x[1] = 0.347
y[1] (analytic) = -6.5900471668771227618042032696829
y[1] (numeric) = -6.590047166162041540153086633498
absolute error = 7.150812216511166361849e-10
relative error = 1.0850927217110917468307733577739e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.685
Order of pole = 0.327
x[1] = 0.348
y[1] (analytic) = -6.5887133319236512785687408790485
y[1] (numeric) = -6.5887133312077182359010708409341
absolute error = 7.159330426676700381144e-10
relative error = 1.0866052392943389484629394620587e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.685
Order of pole = 0.3269
x[1] = 0.349
y[1] (analytic) = -6.587379599846212862246134636435
y[1] (numeric) = -6.5873795991294275721426216065486
absolute error = 7.167852901035130298864e-10
relative error = 1.0881189997313148623419664333993e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.685
Order of pole = 0.3269
x[1] = 0.35
y[1] (analytic) = -6.5860459706473646226985577899731
y[1] (numeric) = -6.5860459699297266586508460242591
absolute error = 7.176379640477117657140e-10
relative error = 1.0896340038409612180954724297693e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.685
Order of pole = 0.3269
x[1] = 0.351
y[1] (analytic) = -6.5847124443296649494266290908257
y[1] (numeric) = -6.5847124436111738848372405629698
absolute error = 7.184910645893885278559e-10
relative error = 1.0911502524428493153755970630322e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.684
Order of pole = 0.3269
x[1] = 0.352
y[1] (analytic) = -6.5833790208956735118368527023935
y[1] (numeric) = -6.5833790201763289200191309481219
absolute error = 7.193445918177217542716e-10
relative error = 1.0926677463571805691153119516492e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.684
Order of pole = 0.3269
x[1] = 0.353
y[1] (analytic) = -6.5820457003479512595092266144683
y[1] (numeric) = -6.5820456996277527136872805481713
absolute error = 7.201985458219460662970e-10
relative error = 1.0941864864047870553204270642493e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.684
Order of pole = 0.3268
x[1] = 0.354
y[1] (analytic) = -6.5807124826890604224650196453986
y[1] (numeric) = -6.5807124819680074957736673490535
absolute error = 7.210529266913522963451e-10
relative error = 1.0957064734071320574050001127203e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.684
Order of pole = 0.3268
x[1] = 0.355
y[1] (analytic) = -6.5793793679215645114347171153917
y[1] (numeric) = -6.5793793671996567769194295997656
absolute error = 7.219077345152875156261e-10
relative error = 1.0972277081863106130620615266231e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=396.7MB, alloc=4.6MB, time=44.06
Complex estimate of poles used
Radius of convergence = 9.683
Order of pole = 0.3268
x[1] = 0.356
y[1] (analytic) = -6.5780463560480283181261352741547
y[1] (numeric) = -6.5780463553252653487429802122618
absolute error = 7.227629693831550618929e-10
relative error = 1.0987501915650500616793406041043e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.683
Order of pole = 0.3268
x[1] = 0.357
y[1] (analytic) = -6.5767134470710179154927045661332
y[1] (numeric) = -6.5767134463473992841082899989256
absolute error = 7.236186313844145672076e-10
relative error = 1.1002739243667105922938805108919e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.683
Order of pole = 0.3268
x[1] = 0.358
y[1] (analytic) = -6.5753806409931006580019218166804
y[1] (numeric) = -6.5753806402686259373933398309501
absolute error = 7.244747206085819857303e-10
relative error = 1.1017989074152857920880883247393e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.683
Order of pole = 0.3268
x[1] = 0.359
y[1] (analytic) = -6.5740479378168451819039714225565
y[1] (numeric) = -6.5740479370915139447587418010258
absolute error = 7.253312371452296215307e-10
relative error = 1.1033251415354031954285532860705e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.682
Order of pole = 0.3267
x[1] = 0.36
y[1] (analytic) = -6.5727153375448214055005156302249
y[1] (numeric) = -6.5727153368186332244165294738016
absolute error = 7.261881810839861564233e-10
relative error = 1.1048526275523248334494247493741e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.682
Order of pole = 0.3267
x[1] = 0.361
y[1] (analytic) = -6.5713828401796005294136539854768
y[1] (numeric) = -6.5713828394525549768991173076536
absolute error = 7.270455525145366778232e-10
relative error = 1.1063813662919477841763613254798e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.682
Order of pole = 0.3267
x[1] = 0.362
y[1] (analytic) = -6.5700504457237550368550520379907
y[1] (numeric) = -6.5700504449958516853284293313637
absolute error = 7.279033515266227066270e-10
relative error = 1.1079113585808047231984714089337e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.682
Order of pole = 0.3267
x[1] = 0.363
y[1] (analytic) = -6.5687181541798586938952393844909
y[1] (numeric) = -6.5687181534510971156851971593776
absolute error = 7.287615782100422251133e-10
relative error = 1.1094426052460644748804533934195e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.681
Order of pole = 0.3267
x[1] = 0.364
y[1] (analytic) = -6.5673859655504865497330771342473
y[1] (numeric) = -6.5673859648208663170784274293794
absolute error = 7.296202326546497048679e-10
relative error = 1.1109751071155325641232713336857e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.681
Order of pole = 0.3266
x[1] = 0.365
y[1] (analytic) = -6.5660538798382149369653948807209
y[1] (numeric) = -6.5660538791077356220150387459886
absolute error = 7.304793149503561347323e-10
relative error = 1.1125088650176517686718156795691e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.681
Order of pole = 0.3266
x[1] = 0.366
y[1] (analytic) = -6.5647218970456214718567972632248
y[1] (numeric) = -6.5647218963142826466696682144528
absolute error = 7.313388251871290487720e-10
relative error = 1.1140438797815026719647970096189e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.681
Order of pole = 0.3266
x[1] = 0.367
memory used=400.5MB, alloc=4.6MB, time=44.49
y[1] (analytic) = -6.5633900171752850546096402025477
y[1] (numeric) = -6.5633900164430862911546476482777
absolute error = 7.321987634549925542700e-10
relative error = 1.1155801522368042165356727790125e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.68
Order of pole = 0.3266
x[1] = 0.368
y[1] (analytic) = -6.5620582402297858696341768945455
y[1] (numeric) = -6.5620582394967267397901495348031
absolute error = 7.330591298440273597424e-10
relative error = 1.1171176832139142579604678693252e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.68
Order of pole = 0.3266
x[1] = 0.369
y[1] (analytic) = -6.5607265662117053858188736457792
y[1] (numeric) = -6.5607265654777854613745028428035
absolute error = 7.339199244443708029757e-10
relative error = 1.1186564735438301193524581382992e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.68
Order of pole = 0.3265
x[1] = 0.37
y[1] (analytic) = -6.5593949951236263568008956353467
y[1] (numeric) = -6.5593949943888452094546787562579
absolute error = 7.347811473462168790888e-10
relative error = 1.1201965240581891464088692583792e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.68
Order of pole = 0.3265
x[1] = 0.371
y[1] (analytic) = -6.5580635269681328212367626871193
y[1] (numeric) = -6.5580635262324900225969464185041
absolute error = 7.356427986398162686152e-10
relative error = 1.1217378355892692630033149341717e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.679
Order of pole = 0.3265
x[1] = 0.372
y[1] (analytic) = -6.5567321617478101030731751366684
y[1] (numeric) = -6.5567321610113052246576987710581
absolute error = 7.365048784154763656103e-10
relative error = 1.1232804089699895273320245374918e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.679
Order of pole = 0.3265
x[1] = 0.373
y[1] (analytic) = -6.5554008994652448118180098772313
y[1] (numeric) = -6.5554008987278774250544485714508
absolute error = 7.373673867635613057805e-10
relative error = 1.1248242450339106886094142433164e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.679
Order of pole = 0.3265
x[1] = 0.374
y[1] (analytic) = -6.5540697401230248428114866691342
y[1] (numeric) = -6.5540697393847945190369946744995
absolute error = 7.382303237744919946347e-10
relative error = 1.1263693446152357443144987596800e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.679
Order of pole = 0.3264
x[1] = 0.375
y[1] (analytic) = -6.5527386837237393774975047971618
y[1] (numeric) = -6.5527386829846456879587586615026
absolute error = 7.390936895387461356592e-10
relative error = 1.1279157085488104979902533434044e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.678
Order of pole = 0.3264
x[1] = 0.376
y[1] (analytic) = -6.5514077302699788836951501604278
y[1] (numeric) = -6.551407729530021399548291901913
absolute error = 7.399574841468582585148e-10
relative error = 1.1294633376701241175946808988916e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.678
Order of pole = 0.3264
x[1] = 0.377
y[1] (analytic) = -6.5500768797643351158703728793734
y[1] (numeric) = -6.5500768790235134081809531321144
absolute error = 7.408217076894197472590e-10
relative error = 1.1310122328153096944085961341709e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.678
Order of pole = 0.3264
x[1] = 0.378
y[1] (analytic) = -6.5487461322094011154078355045809
y[1] (numeric) = -6.5487461314677147551507566359939
absolute error = 7.416863602570788685870e-10
relative error = 1.1325623948211448024910981382078e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=404.3MB, alloc=4.6MB, time=44.92
Complex estimate of poles used
Radius of convergence = 9.678
Order of pole = 0.3264
x[1] = 0.379
y[1] (analytic) = -6.547415487607771210882931912172
y[1] (numeric) = -6.5474154868652197689423911120723
absolute error = 7.425514419405408000997e-10
relative error = 1.1341138245250520586958339378814e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.677
Order of pole = 0.3264
x[1] = 0.38
y[1] (analytic) = -6.5460849459620410183339769706143
y[1] (numeric) = -6.5460849452186240655034093120228
absolute error = 7.434169528305676585915e-10
relative error = 1.1356665227650996832376511210955e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.677
Order of pole = 0.3263
x[1] = 0.381
y[1] (analytic) = -6.5447545072748074415345670638409
y[1] (numeric) = -6.5447545065305245485165885354769
absolute error = 7.442828930179785283640e-10
relative error = 1.1372204903800020608195420426958e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.677
Order of pole = 0.3263
x[1] = 0.382
y[1] (analytic) = -6.5434241715486686722661115556449
y[1] (numeric) = -6.5434241708035194096724620660856
absolute error = 7.451492625936494895593e-10
relative error = 1.1387757282091203023108476463887e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.677
Order of pole = 0.3263
x[1] = 0.383
y[1] (analytic) = -6.5420939387862241905905352803925
y[1] (numeric) = -6.5420939380402081289420216338732
absolute error = 7.460160616485136465193e-10
relative error = 1.1403322370924628069870867172344e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.676
Order of pole = 0.3263
x[1] = 0.384
y[1] (analytic) = -6.5407638089900747651231521451545
y[1] (numeric) = -6.5407638082431914748495909889887
absolute error = 7.468832902735611561658e-10
relative error = 1.1418900178706858253240580439978e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.676
Order of pole = 0.3263
x[1] = 0.385
y[1] (analytic) = -6.5394337821628224533057099284351
y[1] (numeric) = -6.5394337814150715047458706720302
absolute error = 7.477509485598392564049e-10
relative error = 1.1434490713850940223521546394737e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.676
Order of pole = 0.3262
x[1] = 0.386
y[1] (analytic) = -6.5381038583070706016796063607399
y[1] (numeric) = -6.5381038575584515650811540661859
absolute error = 7.486190365984522945540e-10
relative error = 1.1450093984776410415688851864046e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.676
Order of pole = 0.3262
x[1] = 0.387
y[1] (analytic) = -6.5367740374254238461592765722964
y[1] (numeric) = -6.5367740366759362916787148165047
absolute error = 7.494875544805617557917e-10
relative error = 1.1465709999909300694106539552671e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.675
Order of pole = 0.3262
x[1] = 0.388
y[1] (analytic) = -6.5354443195204881123057519933099
y[1] (numeric) = -6.5354443187701316100083657016784
absolute error = 7.503565022973862916315e-10
relative error = 1.1481338767682144002857699511487e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.675
Order of pole = 0.3262
x[1] = 0.389
y[1] (analytic) = -6.5341147045948706156003907922036
y[1] (numeric) = -6.5341147038436447354601890437868
absolute error = 7.512258801402017484168e-10
relative error = 1.1496980296533980021654555243929e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=408.1MB, alloc=4.6MB, time=45.34
Complex estimate of poles used
Radius of convergence = 9.675
Order of pole = 0.3262
x[1] = 0.39
y[1] (analytic) = -6.5327851926511798617187799373674
y[1] (numeric) = -6.5327851918990841736184387415262
absolute error = 7.520956881003411958412e-10
relative error = 1.1512634594910360827395689632511e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.675
Order of pole = 0.3262
x[1] = 0.391
y[1] (analytic) = -6.5314557836920256468048089680024
y[1] (numeric) = -6.5314557829390597205356140125115
absolute error = 7.529659262691949554909e-10
relative error = 1.1528301671263356561327426729461e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.674
Order of pole = 0.3261
x[1] = 0.392
y[1] (analytic) = -6.5301264777200190577449155597204
y[1] (numeric) = -6.5301264769661824630067049303108
absolute error = 7.538365947382106294096e-10
relative error = 1.1543981534051561101821441814663e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.674
Order of pole = 0.3261
x[1] = 0.393
y[1] (analytic) = -6.5287972747377724724425029706286
y[1] (numeric) = -6.5287972739830647788436098419411
absolute error = 7.547076935988931286875e-10
relative error = 1.1559674191740097742799069171623e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.674
Order of pole = 0.3261
x[1] = 0.394
y[1] (analytic) = -6.5274681747478995600925294536973
y[1] (numeric) = -6.5274681739923203371497247516235
absolute error = 7.555792229428047020738e-10
relative error = 1.1575379652800624877799120209170e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.674
Order of pole = 0.3261
x[1] = 0.395
y[1] (analytic) = -6.5261391777530152814562697212762
y[1] (numeric) = -6.5261391769965640985947047566658
absolute error = 7.564511828615649646104e-10
relative error = 1.1591097925711341689659967527969e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.673
Order of pole = 0.3261
x[1] = 0.396
y[1] (analytic) = -6.5248102837557358891362485477006
y[1] (numeric) = -6.5248102829984123156893976214093
absolute error = 7.573235734468509262913e-10
relative error = 1.1606829018956993845890817727836e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.673
Order of pole = 0.326
x[1] = 0.397
y[1] (analytic) = -6.5234814927586789278513465959911
y[1] (numeric) = -6.5234814920004825330609495752469
absolute error = 7.581963947903970207442e-10
relative error = 1.1622572941028879199684581207174e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.673
Order of pole = 0.326
x[1] = 0.398
y[1] (analytic) = -6.5221528047644632347120785547236
y[1] (numeric) = -6.5221528040053935877280834207898
absolute error = 7.590696469839951339338e-10
relative error = 1.1638329700424853496570663959801e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.673
Order of pole = 0.326
x[1] = 0.399
y[1] (analytic) = -6.5208242197757089394960436712196
y[1] (numeric) = -6.5208242190157656093765490383281
absolute error = 7.599433301194946328915e-10
relative error = 1.1654099305649336086785745419238e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.672
Order of pole = 0.326
x[1] = 0.4
y[1] (analytic) = -6.5194957377950374649235487672684
y[1] (numeric) = -6.5194957370342200206347463728024
absolute error = 7.608174442888023944660e-10
relative error = 1.1669881765213315643284277094006e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=412.0MB, alloc=4.6MB, time=45.76
Complex estimate of poles used
Radius of convergence = 9.672
Order of pole = 0.326
x[1] = 0.401
y[1] (analytic) = -6.5181673588250715269334038236698
y[1] (numeric) = -6.5181673580633795373495209895726
absolute error = 7.616919895838828340972e-10
relative error = 1.1685677087634355885431506065943e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.672
Order of pole = 0.326
x[1] = 0.402
y[1] (analytic) = -6.5168390828684351349588902199552
y[1] (numeric) = -6.5168390821058681688621322853392
absolute error = 7.625669660967579346160e-10
relative error = 1.1701485281436601308424963443787e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.672
Order of pole = 0.3259
x[1] = 0.403
y[1] (analytic) = -6.5155109099277535922039017157069
y[1] (numeric) = -6.5155109091643112182843944406438
absolute error = 7.634423739195072750631e-10
relative error = 1.1717306355150782918344624104844e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.671
Order of pole = 0.3259
x[1] = 0.404
y[1] (analytic) = -6.5141828400056534959192582599803
y[1] (numeric) = -6.5141828392413352827749902004448
absolute error = 7.643182131442680595355e-10
relative error = 1.1733140317314223972971255972475e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.671
Order of pole = 0.3259
x[1] = 0.405
y[1] (analytic) = -6.5128548731047627376791927153882
y[1] (numeric) = -6.5128548723395682538159575693345
absolute error = 7.651944838632351460537e-10
relative error = 1.1748987176470845728271640192796e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.671
Order of pole = 0.3259
x[1] = 0.406
y[1] (analytic) = -6.5115270092277105036580105834867
y[1] (numeric) = -6.5115270084616393174893495080334
absolute error = 7.660711861686610754533e-10
relative error = 1.1764846941171173190613499449169e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.671
Order of pole = 0.3259
x[1] = 0.407
y[1] (analytic) = -6.5101992483771272749069228181692
y[1] (numeric) = -6.5101992476101789547540667178693
absolute error = 7.669483201528561002999e-10
relative error = 1.1780719619972340874699340952140e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.67
Order of pole = 0.3259
x[1] = 0.408
y[1] (analytic) = -6.508871590555644827631051813844
y[1] (numeric) = -6.5088715897878189417228636000175
absolute error = 7.678258859081882138265e-10
relative error = 1.1796605221438098567213009330273e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.67
Order of pole = 0.3258
x[1] = 0.409
y[1] (analytic) = -6.5075440357658962334666106552454
y[1] (numeric) = -6.5075440349971923499395274763487
absolute error = 7.687038835270831788967e-10
relative error = 1.1812503754138817096235735531232e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.67
Order of pole = 0.3258
x[1] = 0.41
y[1] (analytic) = -6.5062165840105158597582557157919
y[1] (numeric) = -6.5062165832409335466562311588034
absolute error = 7.695823131020245569885e-10
relative error = 1.1828415226651494106357913459751e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.67
Order of pole = 0.3258
x[1] = 0.411
y[1] (analytic) = -6.5048892352921393698366126914833
y[1] (numeric) = -6.5048892345216781951110589542798
absolute error = 7.704611747255537372035e-10
relative error = 1.1844339647559759839566443363011e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.669
Order of pole = 0.3258
memory used=415.8MB, alloc=4.6MB, time=46.18
x[1] = 0.412
y[1] (analytic) = -6.5035619896134037232959761573933
y[1] (numeric) = -6.5035619888420632548057061920941
absolute error = 7.713404684902699652992e-10
relative error = 1.1860277025453882921878437596499e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.669
Order of pole = 0.3258
x[1] = 0.413
y[1] (analytic) = -6.5022348469769471762721827338869
y[1] (numeric) = -6.5022348462047269817833523611422
absolute error = 7.722201944888303727447e-10
relative error = 1.1876227368930776155732020150666e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.669
Order of pole = 0.3258
x[1] = 0.414
y[1] (analytic) = -6.5009078073854092817206579497613
y[1] (numeric) = -6.5009078066123089289067079439624
absolute error = 7.731003528139500057989e-10
relative error = 1.1892190686594002318126507076812e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.669
Order of pole = 0.3257
x[1] = 0.415
y[1] (analytic) = -6.4995808708414308896946368895848
y[1] (numeric) = -6.4995808700674499461362350349695
absolute error = 7.739809435584018546153e-10
relative error = 1.1908166987053779964581167578741e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.668
Order of pole = 0.3257
x[1] = 0.416
y[1] (analytic) = -6.4982540373476541476235587125677
y[1] (numeric) = -6.4982540365727921808085418302015
absolute error = 7.748619668150168823662e-10
relative error = 1.1924156278926989238807982899293e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.668
Order of pole = 0.3257
x[1] = 0.417
y[1] (analytic) = -6.4969273069067225005916351303845
y[1] (numeric) = -6.4969273061309790779149510759903
absolute error = 7.757434226766840543942e-10
relative error = 1.1940158570837177688226063996647e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.668
Order of pole = 0.3257
x[1] = 0.418
y[1] (analytic) = -6.4956006795212806916165929314248
y[1] (numeric) = -6.4956006787446553803802425640393
absolute error = 7.766253112363503673855e-10
relative error = 1.1956173871414566085239301322455e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.668
Order of pole = 0.3257
x[1] = 0.419
y[1] (analytic) = -6.4942741551939747619285906390283
y[1] (numeric) = -6.494274154416467129341569760462
absolute error = 7.775076325870208785663e-10
relative error = 1.1972202189296054254303396625892e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.667
Order of pole = 0.3257
x[1] = 0.42
y[1] (analytic) = -6.4929477339274520512493093913302
y[1] (numeric) = -6.492947733149061664427550656405
absolute error = 7.783903868217587349252e-10
relative error = 1.1988243533125226904833108744957e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.667
Order of pole = 0.3256
x[1] = 0.421
y[1] (analytic) = -6.4916214157243611980712181304082
y[1] (numeric) = -6.4916214149450876240375329279519
absolute error = 7.792735740336852024563e-10
relative error = 1.2004297911552359469874308928804e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.667
Order of pole = 0.3256
x[1] = 0.422
y[1] (analytic) = -6.4902952005873521399370131885034
y[1] (numeric) = -6.4902951998071949456210334930745
absolute error = 7.801571943159796954289e-10
relative error = 1.2020365333234423950637880455159e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.667
Order of pole = 0.3256
x[1] = 0.423
y[1] (analytic) = -6.4889690885190761137192323591464
y[1] (numeric) = -6.4889690877380348659573525534684
absolute error = 7.810412477618798056780e-10
relative error = 1.2036445806835094766812347136129e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=419.6MB, alloc=4.6MB, time=46.62
Complex estimate of poles used
Radius of convergence = 9.666
Order of pole = 0.3256
x[1] = 0.424
y[1] (analytic) = -6.4876430795221856559000435411042
y[1] (numeric) = -6.4876430787402599214353622091831
absolute error = 7.819257344646813319211e-10
relative error = 1.2052539341024754612746153810650e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.666
Order of pole = 0.3256
x[1] = 0.425
y[1] (analytic) = -6.4863171735993346028512080431233
y[1] (numeric) = -6.4863171728165239483334697340252
absolute error = 7.828106545177383090981e-10
relative error = 1.2068645944480500319456539278106e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.666
Order of pole = 0.3256
x[1] = 0.426
y[1] (analytic) = -6.4849913707531780911142186375205
y[1] (numeric) = -6.4849913699694820830997555997878
absolute error = 7.836960080144630377327e-10
relative error = 1.2084765625886148722446541182882e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.666
Order of pole = 0.3255
x[1] = 0.427
y[1] (analytic) = -6.4836656709863725576806124507488
y[1] (numeric) = -6.4836656702017907626322863374272
absolute error = 7.845817950483261133216e-10
relative error = 1.2100898393932242535433483962078e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.665
Order of pole = 0.3255
x[1] = 0.428
y[1] (analytic) = -6.4823400743015757402724587791275
y[1] (numeric) = -6.482340073516107724559602323383
absolute error = 7.854680157128564557445e-10
relative error = 1.2117044257316056229887294377023e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.665
Order of pole = 0.3255
x[1] = 0.429
y[1] (analytic) = -6.4810145807014466776230219180034
y[1] (numeric) = -6.4810145799150920075213805793053
absolute error = 7.863546701016413386981e-10
relative error = 1.2133203224741601920434202696185e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.665
Order of pole = 0.3255
x[1] = 0.43
y[1] (analytic) = -6.4796891901886457097575990926839
y[1] (numeric) = -6.4796891894014039514492726735278
absolute error = 7.872417583083264191561e-10
relative error = 1.2149375304919635256162956253060e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.665
Order of pole = 0.3255
x[1] = 0.431
y[1] (analytic) = -6.4783639027658344782745335795453
y[1] (numeric) = -6.4783639019777051978479178126946
absolute error = 7.881292804266157668507e-10
relative error = 1.2165560506567661317770396012246e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.664
Order of pole = 0.3255
x[1] = 0.432
y[1] (analytic) = -6.4770387184356759266264031058005
y[1] (numeric) = -6.4770387176466586900761312120217
absolute error = 7.890172365502718937788e-10
relative error = 1.2181758838409940520602022009650e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.664
Order of pole = 0.3254
x[1] = 0.433
y[1] (analytic) = -6.475713637200834300401383616478
y[1] (numeric) = -6.4757136364109286736282678327449
absolute error = 7.899056267731157837331e-10
relative error = 1.2197970309177494523596934784473e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.664
Order of pole = 0.3254
x[1] = 0.434
y[1] (analytic) = -6.4743886590639751476047884972344
y[1] (numeric) = -6.4743886582731806964157615753783
absolute error = 7.907944511890269218561e-10
relative error = 1.2214194927608112144112572354608e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=423.4MB, alloc=4.6MB, time=47.05
Complex estimate of poles used
Radius of convergence = 9.663
Order of pole = 0.3254
x[1] = 0.435
y[1] (analytic) = -6.4730637840277653189407833416963
y[1] (numeric) = -6.4730637832360816090488400174794
absolute error = 7.916837098919433242169e-10
relative error = 1.2230432702446355278633971548016e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.663
Order of pole = 0.3254
x[1] = 0.436
y[1] (analytic) = -6.4717390120948729680942763521022
y[1] (numeric) = -6.471739011302299565118414784687
absolute error = 7.925734029758615674152e-10
relative error = 1.2246683642443564829441820447282e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.663
Order of pole = 0.3254
x[1] = 0.437
y[1] (analytic) = -6.4704143432679675520129844620799
y[1] (numeric) = -6.4704143424745040214781476438736
absolute error = 7.934635305348368182063e-10
relative error = 1.2262947756357866637149864864716e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.663
Order of pole = 0.3254
x[1] = 0.438
y[1] (analytic) = -6.469089777549719831189675270473
y[1] (numeric) = -6.4690897767553657385266924073218
absolute error = 7.943540926629828631512e-10
relative error = 1.2279225052954177419181301030392e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.662
Order of pole = 0.3253
x[1] = 0.439
y[1] (analytic) = -6.4677653149428018699445848752002
y[1] (numeric) = -6.4677653141475567804901127369092
absolute error = 7.952450894544721382910e-10
relative error = 1.2295515541004210714178137538554e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.662
Order of pole = 0.3253
x[1] = 0.44
y[1] (analytic) = -6.4664409554498870367080116962029
y[1] (numeric) = -6.4664409546537505157044759373578
absolute error = 7.961365210035357588451e-10
relative error = 1.2311819229286482832342136158548e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.662
Order of pole = 0.3253
x[1] = 0.441
y[1] (analytic) = -6.4651166990736500043030863766079
y[1] (numeric) = -6.4651166982766216168986228276746
absolute error = 7.970283874044635489333e-10
relative error = 1.2328136126586318811715216496548e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.662
Order of pole = 0.3253
x[1] = 0.442
y[1] (analytic) = -6.4637925458167667502287178513066
y[1] (numeric) = -6.4637925450188460614771137799846
absolute error = 7.979206887516040713220e-10
relative error = 1.2344466241695858380408766579288e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.661
Order of pole = 0.3253
x[1] = 0.443
y[1] (analytic) = -6.4624684956819145569427156722228
y[1] (numeric) = -6.4624684948831011318033510150278
absolute error = 7.988134251393646571950e-10
relative error = 1.2360809583414061924795956174754e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.661
Order of pole = 0.3253
x[1] = 0.444
y[1] (analytic) = -6.4611445486717720121450886796129
y[1] (numeric) = -6.4611445478720654154828772436653
absolute error = 7.997065966622114359476e-10
relative error = 1.2377166160546716463653311005546e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.661
Order of pole = 0.3252
x[1] = 0.445
y[1] (analytic) = -6.459820704789019009061520108817
y[1] (numeric) = -6.4598207039884188056468507438113
absolute error = 8.006002034146693650057e-10
relative error = 1.2393535981906441628284221464593e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=427.2MB, alloc=4.6MB, time=47.48
Complex estimate of poles used
Radius of convergence = 9.661
Order of pole = 0.3252
x[1] = 0.446
y[1] (analytic) = -6.4584969640363367467270192219487
y[1] (numeric) = -6.4584969632348425012356969622808
absolute error = 8.014942454913222596679e-10
relative error = 1.2409919056312695648599821217610e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.66
Order of pole = 0.3252
x[1] = 0.447
y[1] (analytic) = -6.4571733264164077302697495540882
y[1] (numeric) = -6.4571733256140190072829367311145
absolute error = 8.023887229868128229737e-10
relative error = 1.2426315392591781345211609776955e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.66
Order of pole = 0.3252
x[1] = 0.448
y[1] (analytic) = -6.4558497919319157711950338636105
y[1] (numeric) = -6.4558497911286321351991911880166
absolute error = 8.032836359958426755939e-10
relative error = 1.2442724999576852127481850583434e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.66
Order of pole = 0.3252
x[1] = 0.449
y[1] (analytic) = -6.4545263605855459876695358763577
y[1] (numeric) = -6.4545263597813670030563634906114
absolute error = 8.041789846131723857463e-10
relative error = 1.2459147886107917997586135672547e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.66
Order of pole = 0.3252
x[1] = 0.45
y[1] (analytic) = -6.4532030323799848048056189134349
y[1] (numeric) = -6.4532030315749100358719974142998
absolute error = 8.050747689336214991351e-10
relative error = 1.2475584061031851560569762245671e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.659
Order of pole = 0.3252
x[1] = 0.451
y[1] (analytic) = -6.4518798073179199549458814924834
y[1] (numeric) = -6.4518798065119489658938129235679
absolute error = 8.059709890520685689155e-10
relative error = 1.2492033533202394040427581401694e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.659
Order of pole = 0.3251
x[1] = 0.452
y[1] (analytic) = -6.4505566854020404779478699923547
y[1] (numeric) = -6.4505566845951728328844188066732
absolute error = 8.068676450634511856815e-10
relative error = 1.2508496311480161302182766117480e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.659
Order of pole = 0.3251
x[1] = 0.453
y[1] (analytic) = -6.4492336666350367214689684711851
y[1] (numeric) = -6.4492336658272719844062024637069
absolute error = 8.077647370627660074782e-10
relative error = 1.2524972404732649879991071171445e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.659
Order of pole = 0.3251
x[1] = 0.454
y[1] (analytic) = -6.4479107510196003412514657279436
y[1] (numeric) = -6.4479107502109380761063969381037
absolute error = 8.086622651450687898399e-10
relative error = 1.2541461821834243011297198360523e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.658
Order of pole = 0.3251
x[1] = 0.455
y[1] (analytic) = -6.4465879385584243014077996975924
y[1] (numeric) = -6.4465879377488640720023252817434
absolute error = 8.095602294054744158490e-10
relative error = 1.2557964571666216676972194960252e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.658
Order of pole = 0.3251
x[1] = 0.456
y[1] (analytic) = -6.4452652292542028747059792700858
y[1] (numeric) = -6.4452652284437442447668223438615
absolute error = 8.104586299391569262243e-10
relative error = 1.2574480663116745647571701316344e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=431.0MB, alloc=4.6MB, time=47.90
Complex estimate of poles used
Radius of convergence = 9.658
Order of pole = 0.3251
x[1] = 0.457
y[1] (analytic) = -6.4439426231096316428551836234877
y[1] (numeric) = -6.4439426222982741760138340740591
absolute error = 8.113574668413495494286e-10
relative error = 1.2591010105080909535564895066219e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.658
Order of pole = 0.3251
x[1] = 0.458
y[1] (analytic) = -6.4426201201274074967915391615816
y[1] (numeric) = -6.4426201193151507565841944297767
absolute error = 8.122567402073447318049e-10
relative error = 1.2607552906460698853684849616660e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.657
Order of pole = 0.325
x[1] = 0.459
y[1] (analytic) = -6.4412977203102286369640741464009
y[1] (numeric) = -6.4412977194970721868315799786674
absolute error = 8.131564501324941677335e-10
relative error = 1.2624109076165021079287347118305e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.657
Order of pole = 0.325
x[1] = 0.46
y[1] (analytic) = -6.4399754236607945736208511161977
y[1] (numeric) = -6.4399754228467379769086422863809
absolute error = 8.140565967122088298168e-10
relative error = 1.2640678623109706724830153746995e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.657
Order of pole = 0.325
x[1] = 0.461
y[1] (analytic) = -6.4386532301818061270952771794265
y[1] (numeric) = -6.4386532293668489470533181803408
absolute error = 8.149571800419589990857e-10
relative error = 1.2657261556217515414384593681963e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.657
Order of pole = 0.325
x[1] = 0.462
y[1] (analytic) = -6.4373311398759654280925922754051
y[1] (numeric) = -6.4373311390601072278753179801728
absolute error = 8.158582002172742952323e-10
relative error = 1.2673857884418141966258881684334e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.656
Order of pole = 0.325
x[1] = 0.463
y[1] (analytic) = -6.4360091527459759179765354923803
y[1] (numeric) = -6.4360091519292162606427917855137
absolute error = 8.167596573337437068666e-10
relative error = 1.2690467616648222481704038715020e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.656
Order of pole = 0.325
x[1] = 0.464
y[1] (analytic) = -6.434687268794542349056189533803
y[1] (numeric) = -6.4346872679768807975691739120059
absolute error = 8.176615514870156217971e-10
relative error = 1.2707090761851340439707353757963e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.656
Order of pole = 0.325
x[1] = 0.465
y[1] (analytic) = -6.4333654880243707848730034236912
y[1] (numeric) = -6.4333654872058069021002055663533
absolute error = 8.185638827727978573379e-10
relative error = 1.2723727328978032797920328866232e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.656
Order of pole = 0.3249
x[1] = 0.466
y[1] (analytic) = -6.4320438104381686004879935420287
y[1] (numeric) = -6.4320438096187019492011358513918
absolute error = 8.194666512868576906369e-10
relative error = 1.2740377326985796099643741332750e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.655
Order of pole = 0.3249
x[1] = 0.467
y[1] (analytic) = -6.4307222360386444827691230812301
y[1] (numeric) = -6.4307222352182746256441011921976
absolute error = 8.203698571250218890325e-10
relative error = 1.2757040764839092586991371174688e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.655
Order of pole = 0.3249
memory used=434.8MB, alloc=4.6MB, time=48.33
x[1] = 0.468
y[1] (analytic) = -6.4294007648285084306788600147644
y[1] (numeric) = -6.4294007640072349302956832743324
absolute error = 8.212735003831767404320e-10
relative error = 1.2773717651509356320133278584249e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.655
Order of pole = 0.3249
x[1] = 0.469
y[1] (analytic) = -6.4280793968104717555619136691139
y[1] (numeric) = -6.4280793959882941744046455853982
absolute error = 8.221775811572680837157e-10
relative error = 1.2790407995974999302687362807512e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.654
Order of pole = 0.3249
x[1] = 0.47
y[1] (analytic) = -6.4267581319872470814331499903143
y[1] (numeric) = -6.426758131164164981889848651148
absolute error = 8.230820995433013391663e-10
relative error = 1.2807111807221417613259580187767e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.654
Order of pole = 0.3249
x[1] = 0.471
y[1] (analytic) = -6.425436970361548345265685596393
y[1] (numeric) = -6.4254369695375612896283440574718
absolute error = 8.239870556373415389212e-10
relative error = 1.2823829094240997543102070399143e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.654
Order of pole = 0.3249
x[1] = 0.472
y[1] (analytic) = -6.4241159119360907972791607071054
y[1] (numeric) = -6.4241159111111983477436473496535
absolute error = 8.248924495355133574519e-10
relative error = 1.2840559866033121739961124133928e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.654
Order of pole = 0.3248
x[1] = 0.473
y[1] (analytic) = -6.4227949567135910012281910424313
y[1] (numeric) = -6.4227949558877927198941899003662
absolute error = 8.257982813340011420651e-10
relative error = 1.2857304131604175358037573189162e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.653
Order of pole = 0.3248
x[1] = 0.474
y[1] (analytic) = -6.4214741046967668346909987813793
y[1] (numeric) = -6.421474103870062283561949837948
absolute error = 8.267045511290489434313e-10
relative error = 1.2874061899967552214156468216559e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.653
Order of pole = 0.3248
x[1] = 0.475
y[1] (analytic) = -6.4201533558883374893582226727129
y[1] (numeric) = -6.4201533550607262303412621265761
absolute error = 8.276112590169605461368e-10
relative error = 1.2890833180143660950088863859708e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.653
Order of pole = 0.3248
x[1] = 0.476
y[1] (analytic) = -6.4188327102910234713219073892899
y[1] (numeric) = -6.418832709462505066227807890029
absolute error = 8.285184050940994992609e-10
relative error = 1.2907617981159931201060350832773e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.653
Order of pole = 0.3248
x[1] = 0.477
y[1] (analytic) = -6.4175121679075466013646722177793
y[1] (numeric) = -6.4175121670781206119077830708028
absolute error = 8.294259894568891469765e-10
relative error = 1.2924416312050819770424931960720e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.652
Order of pole = 0.3248
x[1] = 0.478
y[1] (analytic) = -6.4161917287406300152490591755979
y[1] (numeric) = -6.4161917279102960030472465164201
absolute error = 8.303340122018126591778e-10
relative error = 1.2941228181857816810568521524942e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.652
Order of pole = 0.3248
x[1] = 0.479
y[1] (analytic) = -6.4148713927929981640070606469784
y[1] (numeric) = -6.4148713919617556905816475848472
absolute error = 8.312424734254130621312e-10
relative error = 1.2958053599629452009987975333950e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=438.7MB, alloc=4.6MB, time=48.75
Complex estimate of poles used
Radius of convergence = 9.652
Order of pole = 0.3248
x[1] = 0.48
y[1] (analytic) = -6.4135511600673768142298266301579
y[1] (numeric) = -6.4135511592352254410055333610061
absolute error = 8.321513732242932691518e-10
relative error = 1.2974892574421300786589696280247e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.652
Order of pole = 0.3247
x[1] = 0.481
y[1] (analytic) = -6.4122310305664930483575516877496
y[1] (numeric) = -6.4122310297334323366624355764458
absolute error = 8.330607116951161113038e-10
relative error = 1.2991745115295990487187989315779e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.651
Order of pole = 0.3247
x[1] = 0.482
y[1] (analytic) = -6.4109110042930752649695416924368
y[1] (numeric) = -6.4109110034591047760349373243101
absolute error = 8.339704889346043681267e-10
relative error = 1.3008611231323206593239458297882e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.651
Order of pole = 0.3247
x[1] = 0.483
y[1] (analytic) = -6.4095910812498531790744604602014
y[1] (numeric) = -6.409591080414972474034919661814
absolute error = 8.348807050395407983874e-10
relative error = 1.3025490931579698932821710951931e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.651
Order of pole = 0.3247
x[1] = 0.484
y[1] (analytic) = -6.4082712614395578224007563633691
y[1] (numeric) = -6.4082712606037664622939881925158
absolute error = 8.357913601067681708533e-10
relative error = 1.3042384225149287898786624556189e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.651
Order of pole = 0.3247
x[1] = 0.485
y[1] (analytic) = -6.4069515448649215436872690158433
y[1] (numeric) = -6.4069515440282190894540797207473
absolute error = 8.367024542331892950960e-10
relative error = 1.3059291121122870673244623597591e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.65
Order of pole = 0.3247
x[1] = 0.486
y[1] (analytic) = -6.4056319315286780089740161229525
y[1] (numeric) = -6.4056319306910640214582490706381
absolute error = 8.376139875157670523144e-10
relative error = 1.3076211628598427458211961162098e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.65
Order of pole = 0.3247
x[1] = 0.487
y[1] (analytic) = -6.4043124214335622018931605884328
y[1] (numeric) = -6.4043124205950362418416361622458
absolute error = 8.385259600515244261870e-10
relative error = 1.3093145756681027712580619808198e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.65
Order of pole = 0.3247
x[1] = 0.488
y[1] (analytic) = -6.4029930145823104239601579711261
y[1] (numeric) = -6.4029930137428720520226134373792
absolute error = 8.394383719375445337469e-10
relative error = 1.3110093514482836395316139278590e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.65
Order of pole = 0.3246
x[1] = 0.489
y[1] (analytic) = -6.4016737109776602948650843840578
y[1] (numeric) = -6.4016737101373090715941137277753
absolute error = 8.403512232709706562825e-10
relative error = 1.3127054911123120214936917834287e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.649
Order of pole = 0.3246
x[1] = 0.49
y[1] (analytic) = -6.4003545106223507527641449286313
y[1] (numeric) = -6.4003545097810862386151386583677
absolute error = 8.412645141490062702636e-10
relative error = 1.3144029955728253885277059544379e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=442.5MB, alloc=4.6MB, time=49.17
Complex estimate of poles used
Radius of convergence = 9.649
Order of pole = 0.3246
x[1] = 0.491
y[1] (analytic) = -6.3990354135191220545713627567492
y[1] (numeric) = -6.3990354126769438099024476784578
absolute error = 8.421782446689150782914e-10
relative error = 1.3161018657431726387516087329897e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.649
Order of pole = 0.3246
x[1] = 0.492
y[1] (analytic) = -6.3977164196707157762504488537513
y[1] (numeric) = -6.3977164188276233613224278136757
absolute error = 8.430924149280210400756e-10
relative error = 1.3178021025374147238532274633483e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.648
Order of pole = 0.3246
x[1] = 0.493
y[1] (analytic) = -6.3963975290798748131068526351283
y[1] (numeric) = -6.3963975282358677880831442316943
absolute error = 8.440070250237084034340e-10
relative error = 1.3195037068703252765514495440838e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.648
Order of pole = 0.3246
x[1] = 0.494
y[1] (analytic) = -6.3950787417493433800799934500522
y[1] (numeric) = -6.3950787409044213050265717147327
absolute error = 8.449220750534217353195e-10
relative error = 1.3212066796573912386915933560479e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.648
Order of pole = 0.3246
x[1] = 0.495
y[1] (analytic) = -6.3937600576818670120356730848351
y[1] (numeric) = -6.3937600568360294469210071319638
absolute error = 8.458375651146659528713e-10
relative error = 1.3229110218148134899706440440084e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.648
Order of pole = 0.3246
x[1] = 0.496
y[1] (analytic) = -6.3924414768801925640586693595048
y[1] (numeric) = -6.3924414760334390687536630050137
absolute error = 8.467534953050063544911e-10
relative error = 1.3246167342595074772942830234516e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.647
Order of pole = 0.3245
x[1] = 0.497
y[1] (analytic) = -6.391122999347068211745510910761
y[1] (numeric) = -6.3911229984993983460234422598169
absolute error = 8.476698657220686509441e-10
relative error = 1.3263238179091038447660782831588e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.647
Order of pole = 0.3245
x[1] = 0.498
y[1] (analytic) = -6.3898046250852434514974332546561
y[1] (numeric) = -6.3898046242366567750338942581683
absolute error = 8.485866764635389964878e-10
relative error = 1.3280322736819490643142108228647e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.647
Order of pole = 0.3245
x[1] = 0.499
y[1] (analytic) = -6.3884863540974691008135162224067
y[1] (numeric) = -6.3884863532479651731863522023859
absolute error = 8.495039276271640200208e-10
relative error = 1.3297421024971060669442157107019e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.647
Order of pole = 0.3245
x[1] = 0.5
y[1] (analytic) = -6.387168186386497298584002862841
y[1] (numeric) = -6.3871681855360756792732520065766
absolute error = 8.504216193107508562644e-10
relative error = 1.3314533052743548746384490696797e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.646
Order of pole = 0.3245
x[1] = 0.501
y[1] (analytic) = -6.3858501219550815053837999050316
y[1] (numeric) = -6.3858501211037417537716327280711
absolute error = 8.513397516121671769605e-10
relative error = 1.3331658829341932328771434959774e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=446.3MB, alloc=4.6MB, time=49.59
Complex estimate of poles used
Radius of convergence = 9.646
Order of pole = 0.3245
x[1] = 0.502
y[1] (analytic) = -6.384532160805976503766159874775
y[1] (numeric) = -6.3845321599537181791368186526716
absolute error = 8.522583246293412221034e-10
relative error = 1.3348798363978372438092829112129e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.646
Order of pole = 0.3245
x[1] = 0.503
y[1] (analytic) = -6.3832143029419383985565449586208
y[1] (numeric) = -6.3832143020887610600962831274301
absolute error = 8.531773384602618311907e-10
relative error = 1.3365951665872220000508160411000e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.646
Order of pole = 0.3245
x[1] = 0.504
y[1] (analytic) = -6.3818965483657246171466727092543
y[1] (numeric) = -6.3818965475116278239436942347524
absolute error = 8.540967932029784745019e-10
relative error = 1.3383118744250022191243564701760e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.645
Order of pole = 0.3245
x[1] = 0.505
y[1] (analytic) = -6.3805788970800939097887436861021
y[1] (numeric) = -6.3805788962250772208331424016984
absolute error = 8.550166889556012844037e-10
relative error = 1.3400299608345528785394946252468e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.645
Order of pole = 0.3244
x[1] = 0.506
y[1] (analytic) = -6.379261349087806349889851125104
y[1] (numeric) = -6.3792613482318693240735500384257
absolute error = 8.559370258163010866783e-10
relative error = 1.3417494267399698515086128097707e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.645
Order of pole = 0.3244
x[1] = 0.507
y[1] (analytic) = -6.3779439043916233343065727316764
y[1] (numeric) = -6.3779439035347655304232632997989
absolute error = 8.568578038833094318775e-10
relative error = 1.3434702730660705433032770211101e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.645
Order of pole = 0.3244
x[1] = 0.508
y[1] (analytic) = -6.3766265629943075836397446909678
y[1] (numeric) = -6.3766265621365285603848260642642
absolute error = 8.577790232549186267036e-10
relative error = 1.3451925007383945282534645409951e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.644
Order of pole = 0.3244
x[1] = 0.509
y[1] (analytic) = -6.3753093248986231425294179895795
y[1] (numeric) = -6.3753093240399224584999362241648
absolute error = 8.587006840294817654147e-10
relative error = 1.3469161106832041873865566286761e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.644
Order of pole = 0.3244
x[1] = 0.51
y[1] (analytic) = -6.3739921901073353799499971430037
y[1] (numeric) = -6.3739921892477125936445843817481
absolute error = 8.596227863054127612556e-10
relative error = 1.3486411038274853467086682003168e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.644
Order of pole = 0.3244
x[1] = 0.511
y[1] (analytic) = -6.3726751586232109895055614231082
y[1] (numeric) = -6.3726751577626656593243750451941
absolute error = 8.605453301811863779141e-10
relative error = 1.3503674810989479161286934307074e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.644
Order of pole = 0.3244
x[1] = 0.512
y[1] (analytic) = -6.3713582304490179897253686800718
y[1] (numeric) = -6.3713582295875496739700304190685
absolute error = 8.614683157553382610033e-10
relative error = 1.3520952434260265290267021378298e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=450.1MB, alloc=4.6MB, time=50.02
Complex estimate of poles used
Radius of convergence = 9.643
Order of pole = 0.3244
x[1] = 0.513
y[1] (analytic) = -6.3700414055875257243595418532507
y[1] (numeric) = -6.3700414047251339812330768836822
absolute error = 8.623917431264649695685e-10
relative error = 1.3538243917378811824651844958086e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.643
Order of pole = 0.3244
x[1] = 0.514
y[1] (analytic) = -6.3687246840415048626749382655357
y[1] (numeric) = -6.3687246831781892502817142579152
absolute error = 8.633156123932240076205e-10
relative error = 1.3555549269643978780466633680463e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.643
Order of pole = 0.3243
x[1] = 0.515
y[1] (analytic) = -6.367408065813727399751201795833
y[1] (numeric) = -6.3674080649494874760968679401389
absolute error = 8.642399236543338556941e-10
relative error = 1.3572868500361892634164875587569e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.642
Order of pole = 0.3243
x[1] = 0.516
y[1] (analytic) = -6.3660915509069666567769980243803
y[1] (numeric) = -6.3660915500418019797684240219477
absolute error = 8.651646770085740024326e-10
relative error = 1.3590201618845952744127586391960e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.642
Order of pole = 0.3243
x[1] = 0.517
y[1] (analytic) = -6.3647751393239972813464324456863
y[1] (numeric) = -6.3647751384579074087916474694891
absolute error = 8.660898725547849761972e-10
relative error = 1.3607548634416837778623617324604e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.642
Order of pole = 0.3243
x[1] = 0.518
y[1] (analytic) = -6.3634588310675952477556518439572
y[1] (numeric) = -6.3634588302005797373637834672553
absolute error = 8.670155103918683767019e-10
relative error = 1.3624909556402512150247401157381e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.642
Order of pole = 0.3243
x[1] = 0.519
y[1] (analytic) = -6.3621426261405378572996289259554
y[1] (numeric) = -6.3621426252725962666808420192796
absolute error = 8.679415906187869066758e-10
relative error = 1.3642284394138232456870992258096e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.641
Order of pole = 0.3243
x[1] = 0.52
y[1] (analytic) = -6.3608265245456037385691303063034
y[1] (numeric) = -6.3608265236767356252345659027549
absolute error = 8.688681133345644035485e-10
relative error = 1.3659673156966553929049842684800e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.641
Order of pole = 0.3243
x[1] = 0.521
y[1] (analytic) = -6.3595105262855728477478679403345
y[1] (numeric) = -6.3595105254157777691095820691715
absolute error = 8.697950786382858711630e-10
relative error = 1.3677075854237336883958455790036e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.641
Order of pole = 0.3243
x[1] = 0.522
y[1] (analytic) = -6.3581946313632264689098340996598
y[1] (numeric) = -6.3581946304925039822807365881454
absolute error = 8.707224866290975115144e-10
relative error = 1.3694492495307753185836242449485e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.641
Order of pole = 0.3243
x[1] = 0.523
y[1] (analytic) = -6.3568788397813472143168199857005
y[1] (numeric) = -6.3568788389096968769106132291882
absolute error = 8.716503374062067565123e-10
relative error = 1.3711923089542292712917576778819e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.64
Order of pole = 0.3243
memory used=453.9MB, alloc=4.6MB, time=50.45
x[1] = 0.524
y[1] (analytic) = -6.3555631515427190247161180765171
y[1] (numeric) = -6.3555631506701403936472357767453
absolute error = 8.725786310688822997718e-10
relative error = 1.3729367646312769830930141599965e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.64
Order of pole = 0.3243
x[1] = 0.525
y[1] (analytic) = -6.3542475666501271696384083023353
y[1] (numeric) = -6.3542475657766198019219541739072
absolute error = 8.735073677164541284281e-10
relative error = 1.3746826174998329873089988646974e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.64
Order of pole = 0.3242
x[1] = 0.526
y[1] (analytic) = -6.3529320851063582476958281452533
y[1] (numeric) = -6.3529320842319217002475145902753
absolute error = 8.744365474483135549780e-10
relative error = 1.3764298684985455626652264974491e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.64
Order of pole = 0.3242
x[1] = 0.527
y[1] (analytic) = -6.3516167069142001868802267586881
y[1] (numeric) = -6.3516167060388340165163135095419
absolute error = 8.753661703639132491462e-10
relative error = 1.3781785185667973825991633710386e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.639
Order of pole = 0.3242
x[1] = 0.528
y[1] (analytic) = -6.3503014320764422448616032022003
y[1] (numeric) = -6.3503014312001460082988359324208
absolute error = 8.762962365627672697795e-10
relative error = 1.3799285686447061652268256843996e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.639
Order of pole = 0.3242
x[1] = 0.529
y[1] (analytic) = -6.3489862605958750092867288874065
y[1] (numeric) = -6.3489862597186482631422777906431
absolute error = 8.772267461444510967634e-10
relative error = 1.3816800196731253239599842346697e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.639
Order of pole = 0.3242
x[1] = 0.53
y[1] (analytic) = -6.3476711924752903980779543307786
y[1] (numeric) = -6.3476711915971326988693526678097
absolute error = 8.781576992086016629689e-10
relative error = 1.3834328725936446187869648515194e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.639
Order of pole = 0.3242
x[1] = 0.531
y[1] (analytic) = -6.3463562277174816597322003091923
y[1] (numeric) = -6.3463562268383925638772829229708
absolute error = 8.790890958549173862215e-10
relative error = 1.3851871283485908082051588707567e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.638
Order of pole = 0.3242
x[1] = 0.532
y[1] (analytic) = -6.3450413663252433736201335141763
y[1] (numeric) = -6.3450413654452224374369753128786
absolute error = 8.800209361831582012977e-10
relative error = 1.3869427878810283018142991768478e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.638
Order of pole = 0.3242
x[1] = 0.533
y[1] (analytic) = -6.3437266083013714502855268008874
y[1] (numeric) = -6.3437266074204182299923812089394
absolute error = 8.809532202931455919480e-10
relative error = 1.3886998521347598135696409591253e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.638
Order of pole = 0.3242
x[1] = 0.534
y[1] (analytic) = -6.3424119536486631317448041279115
y[1] (numeric) = -6.3424119527667771834600415049672
absolute error = 8.818859482847626229443e-10
relative error = 1.3904583220543270156924502106601e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.637
Order of pole = 0.3242
x[1] = 0.535
y[1] (analytic) = -6.3410974023699169917867702840759
y[1] (numeric) = -6.3410974014870978715288163119207
absolute error = 8.828191202579539721552e-10
relative error = 1.3922181985850111932440296387199e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=457.7MB, alloc=4.6MB, time=50.89
Complex estimate of poles used
Radius of convergence = 9.637
Order of pole = 0.3242
x[1] = 0.536
y[1] (analytic) = -6.3397829544679329362725254985271
y[1] (numeric) = -6.3397829535841801999597995358818
absolute error = 8.837527363127259626453e-10
relative error = 1.3939794826728338993578493338088e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.637
Order of pole = 0.3242
x[1] = 0.537
y[1] (analytic) = -6.3384686099455122034355650304151
y[1] (numeric) = -6.3384686090608254068864184356125
absolute error = 8.846867965491465948026e-10
relative error = 1.3957421752645576111369615433640e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.637
Order of pole = 0.3241
x[1] = 0.538
y[1] (analytic) = -6.3371543688054573641820638345955
y[1] (numeric) = -6.3371543679198360631147182561062
absolute error = 8.856213010673455784893e-10
relative error = 1.3975062773076863862100041168993e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.636
Order of pole = 0.3241
x[1] = 0.539
y[1] (analytic) = -6.3358402310505723223913463998474
y[1] (numeric) = -6.3358402301640160724238320346256
absolute error = 8.865562499675143652218e-10
relative error = 1.3992717897504665199556581322159e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.636
Order of pole = 0.3241
x[1] = 0.54
y[1] (analytic) = -6.3345261966836623152165418561744
y[1] (numeric) = -6.3345261957961706718666356757998
absolute error = 8.874916433499061803746e-10
relative error = 1.4010387135418872033879182368860e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.636
Order of pole = 0.3241
x[1] = 0.541
y[1] (analytic) = -6.3332122657075339133854244478407
y[1] (numeric) = -6.3332122648191064320705883924293
absolute error = 8.884274813148360554114e-10
relative error = 1.4028070496316811817081004266965e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.636
Order of pole = 0.3241
x[1] = 0.542
y[1] (analytic) = -6.3318984381249950215014394688687
y[1] (numeric) = -6.3318984372356312575387586087283
absolute error = 8.893637639626808601404e-10
relative error = 1.4045767989703254135195718615377e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.635
Order of pole = 0.3241
x[1] = 0.543
y[1] (analytic) = -6.3305847139388548783449147578096
y[1] (numeric) = -6.3305847130485543869510354228101
absolute error = 8.903004913938793349995e-10
relative error = 1.4063479625090417307149231232676e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.635
Order of pole = 0.3241
x[1] = 0.544
y[1] (analytic) = -6.3292710931519240571744578486651
y[1] (numeric) = -6.3292710922606863934655257253015
absolute error = 8.912376637089321233636e-10
relative error = 1.4081205411997974990239896548686e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.635
Order of pole = 0.3241
x[1] = 0.545
y[1] (analytic) = -6.3279575757670144660285388749305
y[1] (numeric) = -6.3279575748748391850201370710493
absolute error = 8.921752810084018038812e-10
relative error = 1.4098945359953062792348138604419e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.635
Order of pole = 0.3241
x[1] = 0.546
y[1] (analytic) = -6.326644161786939348027259323797
y[1] (numeric) = -6.326644160893826004634346400962
absolute error = 8.931133433929129228350e-10
relative error = 1.4116699478490284890799013834670e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=461.5MB, alloc=4.6MB, time=51.33
Complex estimate of poles used
Radius of convergence = 9.634
Order of pole = 0.3241
x[1] = 0.547
y[1] (analytic) = -6.3253308512145132816743067376379
y[1] (numeric) = -6.3253308503204614307111547111072
absolute error = 8.940518509631520265307e-10
relative error = 1.4134467777151720657951310175950e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.634
Order of pole = 0.3241
x[1] = 0.548
y[1] (analytic) = -6.324017644052552181159095459975
y[1] (numeric) = -6.3240176431575613773392277662654
absolute error = 8.949908038198676937096e-10
relative error = 1.4152250265486931293450906438974e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.634
Order of pole = 0.3241
x[1] = 0.549
y[1] (analytic) = -6.3227045403038732966590935232094
y[1] (numeric) = -6.3227045394079430945952229552182
absolute error = 8.959302020638705679912e-10
relative error = 1.4170046953052966463253658797079e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.633
Order of pole = 0.3241
x[1] = 0.55
y[1] (analytic) = -6.3213915399712952146423357754666
y[1] (numeric) = -6.3213915390744251688463023851287
absolute error = 8.968700457960333903379e-10
relative error = 1.4187857849414370945300200637374e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.633
Order of pole = 0.324
x[1] = 0.551
y[1] (analytic) = -6.3200786430576378581701233440003
y[1] (numeric) = -6.3200786421598275230528323124515
absolute error = 8.978103351172910315488e-10
relative error = 1.4205682964143191281960599704448e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.633
Order of pole = 0.324
x[1] = 0.552
y[1] (analytic) = -6.3187658495657224871999095326663
y[1] (numeric) = -6.3187658486669714170712690078866
absolute error = 8.987510701286405247797e-10
relative error = 1.4223522306818982439210332969953e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.633
Order of pole = 0.324
x[1] = 0.553
y[1] (analytic) = -6.3174531594983716988883722510609
y[1] (numeric) = -6.3174531585986794479572311529735
absolute error = 8.996922509311410980874e-10
relative error = 1.4241375887028814472514801340285e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.632
Order of pole = 0.324
x[1] = 0.554
y[1] (analytic) = -6.3161405728584094278946730730014
y[1] (numeric) = -6.316140571957775550268758865998
absolute error = 9.006338776259142070034e-10
relative error = 1.4259243714367279199510392214588e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.632
Order of pole = 0.324
x[1] = 0.555
y[1] (analytic) = -6.3148280896486609466839030220977
y[1] (numeric) = -6.3148280887470849963697594549659
absolute error = 9.015759503141435671318e-10
relative error = 1.4277125798436496879407132682889e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.632
Order of pole = 0.324
x[1] = 0.556
y[1] (analytic) = -6.3135157098719528658307151822494
y[1] (numeric) = -6.3135157089694343967336399954758
absolute error = 9.025184690970751867736e-10
relative error = 1.4295022148846122899155056931577e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.632
Order of pole = 0.324
x[1] = 0.557
y[1] (analytic) = -6.3122034335311131343231442309822
y[1] (numeric) = -6.3122034326276517002471268314023
absolute error = 9.034614340760173995799e-10
relative error = 1.4312932775213354466421230777202e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=465.4MB, alloc=4.6MB, time=51.78
Complex estimate of poles used
Radius of convergence = 9.631
Order of pole = 0.324
x[1] = 0.558
y[1] (analytic) = -6.3108912606289710398666129936105
y[1] (numeric) = -6.3108912597245661945142720963819
absolute error = 9.044048453523408972286e-10
relative error = 1.4330857687162937309299270492739e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.631
Order of pole = 0.324
x[1] = 0.559
y[1] (analytic) = -6.3095791911683572091881261163007
y[1] (numeric) = -6.3095791902630085061606473541712
absolute error = 9.053487030274787621295e-10
relative error = 1.4348796894327172382836303463308e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.631
Order of pole = 0.324
x[1] = 0.56
y[1] (analytic) = -6.3082672251521036083406509561831
y[1] (numeric) = -6.3082672242458106011377244560287
absolute error = 9.062930072029265001544e-10
relative error = 1.4366750406345922582330882759326e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.631
Order of pole = 0.324
x[1] = 0.561
y[1] (analytic) = -6.3069553625830435430076857867456
y[1] (numeric) = -6.3069553616758057850274437133494
absolute error = 9.072377579802420733962e-10
relative error = 1.4384718232866619463472617687579e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.63
Order of pole = 0.324
x[1] = 0.562
y[1] (analytic) = -6.3056436034640116588080154168145
y[1] (numeric) = -6.3056436025558287033469694838624
absolute error = 9.081829554610459329521e-10
relative error = 1.4402700383544269969253253310058e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.63
Order of pole = 0.324
x[1] = 0.563
y[1] (analytic) = -6.3043319477978439416006543215145
y[1] (numeric) = -6.3043319468887153418536332697806
absolute error = 9.091285997470210517339e-10
relative error = 1.4420696868041463163704122159389e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.63
Order of pole = 0.324
x[1] = 0.564
y[1] (analytic) = -6.3030203955873777177899773836793
y[1] (numeric) = -6.303020394677303026850064426372
absolute error = 9.100746909399129573073e-10
relative error = 1.4438707696028376972497527423479e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.63
Order of pole = 0.324
x[1] = 0.565
y[1] (analytic) = -6.3017089468354516546310383442542
y[1] (numeric) = -6.3017089459244304254895085795012
absolute error = 9.110212291415297647530e-10
relative error = 1.4456732877182784930305270669907e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.629
Order of pole = 0.324
x[1] = 0.566
y[1] (analytic) = -6.3003976015449057605350760603312
y[1] (numeric) = -6.3003976006329375460813338507706
absolute error = 9.119682144537422095606e-10
relative error = 1.4474772421190062935096226548541e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.629
Order of pole = 0.324
x[1] = 0.567
y[1] (analytic) = -6.2990863597185813853752086695143
y[1] (numeric) = -6.2990863588056657383967249889708
absolute error = 9.129156469784836805435e-10
relative error = 1.4492826337743196009193209149603e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.629
Order of pole = 0.3239
x[1] = 0.568
y[1] (analytic) = -6.2977752213593212207923157594126
y[1] (numeric) = -6.2977752204454576939745655066282
absolute error = 9.138635268177502527844e-10
relative error = 1.4510894636542785067248874328112e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=469.2MB, alloc=4.6MB, time=52.21
Complex estimate of poles used
Radius of convergence = 9.628
Order of pole = 0.3239
x[1] = 0.569
y[1] (analytic) = -6.2964641864699693005011086411259
y[1] (numeric) = -6.2964641855551574464275079205205
absolute error = 9.148118540736007206054e-10
relative error = 1.4528977327297053691052906863834e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.628
Order of pole = 0.3239
x[1] = 0.57
y[1] (analytic) = -6.2951532550533710005963888256744
y[1] (numeric) = -6.295153254137610371748232195109
absolute error = 9.157606288481566305654e-10
relative error = 1.4547074419721854911220793186449e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.628
Order of pole = 0.3239
x[1] = 0.571
y[1] (analytic) = -6.2938424271123730398594948024036
y[1] (numeric) = -6.2938424261956631886158924879175
absolute error = 9.167098512436023144861e-10
relative error = 1.4565185923540677995792316771353e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.628
Order of pole = 0.3239
x[1] = 0.572
y[1] (analytic) = -6.2925317026498234800649372184687
y[1] (numeric) = -6.2925317017321639587027522959682
absolute error = 9.176595213621849225005e-10
relative error = 1.4583311848484655245650356978395e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.627
Order of pole = 0.3239
x[1] = 0.573
y[1] (analytic) = -6.2912210816685717262872225585992
y[1] (numeric) = -6.2912210807499620869810081024656
absolute error = 9.186096393062144561336e-10
relative error = 1.4601452204292568796921563184387e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.627
Order of pole = 0.3239
x[1] = 0.574
y[1] (analytic) = -6.2899105641714685272078654244041
y[1] (numeric) = -6.2899105632519083220298016229992
absolute error = 9.195602051780638014049e-10
relative error = 1.4619607000710857430201182509169e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.627
Order of pole = 0.3239
x[1] = 0.575
y[1] (analytic) = -6.2886001501613659754225895125788
y[1] (numeric) = -6.2886001492408547563424207506167
absolute error = 9.205112190801687619621e-10
relative error = 1.4637776247493623386758908407660e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.627
Order of pole = 0.3239
x[1] = 0.576
y[1] (analytic) = -6.2872898396411175077487173914375
y[1] (numeric) = -6.2872898387196548266336892992
absolute error = 9.214626811150280922375e-10
relative error = 1.4655959954402639191598174098617e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.626
Order of pole = 0.3239
x[1] = 0.577
y[1] (analytic) = -6.2859796326135779055327491752935
y[1] (numeric) = -6.2859796316911633141475456446578
absolute error = 9.224145913852035306357e-10
relative error = 1.4674158131207354483513132495763e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.626
Order of pole = 0.3239
x[1] = 0.578
y[1] (analytic) = -6.2846695290816032949581301962716
y[1] (numeric) = -6.2846695281582363449648103635273
absolute error = 9.233669499933198327443e-10
relative error = 1.4692370787684902852018893034575e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.626
Order of pole = 0.3239
x[1] = 0.579
y[1] (analytic) = -6.2833595290480511473532077732354
y[1] (numeric) = -6.2833595281237313903111429686609
absolute error = 9.243197570420648045745e-10
relative error = 1.4710597933620108681272283500508e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.626
Order of pole = 0.3239
memory used=473.0MB, alloc=4.6MB, time=52.66
x[1] = 0.58
y[1] (analytic) = -6.2820496325157802794993771775791
y[1] (numeric) = -6.2820496315905072668651878417528
absolute error = 9.252730126341893358263e-10
relative error = 1.4728839578805494000906392947072e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.625
Order of pole = 0.3239
x[1] = 0.581
y[1] (analytic) = -6.280739839487650853939416895725
y[1] (numeric) = -6.280739838561424137066909462542
absolute error = 9.262267168725074331830e-10
relative error = 1.4747095733041285343861237112986e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.625
Order of pole = 0.3239
x[1] = 0.582
y[1] (analytic) = -6.2794301499665243792860132882402
y[1] (numeric) = -6.2794301490393435094261170346096
absolute error = 9.271808698598962536306e-10
relative error = 1.4765366406135420611148104007043e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.625
Order of pole = 0.3239
x[1] = 0.583
y[1] (analytic) = -6.2781205639552637105304747455747
y[1] (numeric) = -6.2781205630271282388311786077685
absolute error = 9.281354716992961378062e-10
relative error = 1.4783651607903555943620420403471e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.624
Order of pole = 0.3239
x[1] = 0.584
y[1] (analytic) = -6.2768110814567330493516354404972
y[1] (numeric) = -6.2768110805276425268579247971262
absolute error = 9.290905224937106433710e-10
relative error = 1.4801951348169072600688678943061e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.624
Order of pole = 0.3239
x[1] = 0.585
y[1] (analytic) = -6.2755017024737979444249487773938
y[1] (numeric) = -6.2755017015437519220787421989803
absolute error = 9.300460223462065784135e-10
relative error = 1.4820265636763083846076207517159e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.624
Order of pole = 0.3239
x[1] = 0.586
y[1] (analytic) = -6.2741924270093252917317706386684
y[1] (numeric) = -6.2741924260783233203718566037909
absolute error = 9.310019713599140348775e-10
relative error = 1.4838594483524441840537399270313e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.624
Order of pole = 0.3239
x[1] = 0.587
y[1] (analytic) = -6.2728832550661833348688325285692
y[1] (numeric) = -6.2728832541342249652308061065518
absolute error = 9.319583696380264220174e-10
relative error = 1.4856937898299744541585825998911e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.623
Order of pole = 0.3239
x[1] = 0.588
y[1] (analytic) = -6.2715741866472416653579047148489
y[1] (numeric) = -6.2715741857143264480741042149671
absolute error = 9.329152172838004998818e-10
relative error = 1.4875295890943342610255815919026e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.623
Order of pole = 0.3239
x[1] = 0.589
y[1] (analytic) = -6.2702652217553712229556494687432
y[1] (numeric) = -6.2702652208214987085550930559191
absolute error = 9.338725144005564128241e-10
relative error = 1.4893668471317346324884431518455e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.623
Order of pole = 0.3239
x[1] = 0.59
y[1] (analytic) = -6.2689563603934442959636645038347
y[1] (numeric) = -6.2689563594586140348719867807957
absolute error = 9.348302610916777230390e-10
relative error = 1.4912055649291632501903948122628e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.623
Order of pole = 0.3239
x[1] = 0.591
y[1] (analytic) = -6.2676476025643345215387167144546
y[1] (numeric) = -6.2676476016285460640781052703278
absolute error = 9.357884574606114441268e-10
relative error = 1.4930457434743851423682778531966e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=476.8MB, alloc=4.6MB, time=53.08
Complex estimate of poles used
Radius of convergence = 9.622
Order of pole = 0.3239
x[1] = 0.592
y[1] (analytic) = -6.2663389482709168860031663143545
y[1] (numeric) = -6.2663389473341697823922982396677
absolute error = 9.367471036108680746868e-10
relative error = 1.4948873837559433773443273935133e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.622
Order of pole = 0.3239
x[1] = 0.593
y[1] (analytic) = -6.2650303975160677251555814764572
y[1] (numeric) = -6.2650303965783615255095598445221
absolute error = 9.377061996460216319351e-10
relative error = 1.4967304867631597577189105521643e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.622
Order of pole = 0.3239
x[1] = 0.594
y[1] (analytic) = -6.2637219503026647245815435745859
y[1] (numeric) = -6.2637219493639989789118338892348
absolute error = 9.386657456697096853511e-10
relative error = 1.4985750534861355152718499682212e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.621
Order of pole = 0.3239
x[1] = 0.595
y[1] (analytic) = -6.2624136066335869199646431281485
y[1] (numeric) = -6.2624136056939611781790097377969
absolute error = 9.396257417856333903516e-10
relative error = 1.5004210849157520065713494846887e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.621
Order of pole = 0.3239
x[1] = 0.596
y[1] (analytic) = -6.2611053665117146973976665508348
y[1] (numeric) = -6.2611053655711285093001090288424
absolute error = 9.405861880975575219924e-10
relative error = 1.5022685820436714092911339576677e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.621
Order of pole = 0.3238
x[1] = 0.597
y[1] (analytic) = -6.2597972299399297936939738044671
y[1] (numeric) = -6.2597972289983827089846632957717
absolute error = 9.415470847093105086954e-10
relative error = 1.5041175458623374192333805717553e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.621
Order of pole = 0.3238
x[1] = 0.598
y[1] (analytic) = -6.2584891969211152966990670592309
y[1] (numeric) = -6.2584891959786068649742825932255
absolute error = 9.425084317247844660054e-10
relative error = 1.5059679773649759480649211740419e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.62
Order of pole = 0.3238
x[1] = 0.599
y[1] (analytic) = -6.2571812674581556456023504615877
y[1] (numeric) = -6.2571812665146854163544152312147
absolute error = 9.434702292479352303730e-10
relative error = 1.5078198775455958217617416085224e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.62
Order of pole = 0.3238
x[1] = 0.6
y[1] (analytic) = -6.2558734415539366312490811112601
y[1] (numeric) = -6.2558734406095041538662987182944
absolute error = 9.444324773827823929657e-10
relative error = 1.5096732473989894797659067867758e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.62
Order of pole = 0.3238
x[1] = 0.601
y[1] (analytic) = -6.2545657192113453964525113487567
y[1] (numeric) = -6.2545657182659502202191020152518
absolute error = 9.453951762334093335049e-10
relative error = 1.5115280879207336748520119133037e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.62
Order of pole = 0.3238
x[1] = 0.602
y[1] (analytic) = -6.2532581004332704363062224549935
y[1] (numeric) = -6.2532580994869121104022592008606
absolute error = 9.463583259039632541329e-10
relative error = 1.5133844001071901737104897334002e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=480.6MB, alloc=4.6MB, time=53.51
Complex estimate of poles used
Radius of convergence = 9.619
Order of pole = 0.3238
x[1] = 0.603
y[1] (analytic) = -6.2519505852226015984966498646421
y[1] (numeric) = -6.251950584275279671997994651337
absolute error = 9.473219264986552133051e-10
relative error = 1.5152421849555064582408800144792e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.619
Order of pole = 0.3238
x[1] = 0.604
y[1] (analytic) = -6.2506431735822300836157999949254
y[1] (numeric) = -6.2506431726339441054940398352144
absolute error = 9.482859781217601597110e-10
relative error = 1.5171014434636164275615941864795e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.619
Order of pole = 0.3238
x[1] = 0.605
y[1] (analytic) = -6.2493358655150484454741587916591
y[1] (numeric) = -6.2493358645657979645965418254372
absolute error = 9.492504808776169662219e-10
relative error = 1.5189621766302411007335976669971e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.619
Order of pole = 0.3238
x[1] = 0.606
y[1] (analytic) = -6.2480286610239505914137920944243
y[1] (numeric) = -6.2480286600737351565431636305569
absolute error = 9.502154348706284638674e-10
relative error = 1.5208243854548893202021498360141e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.618
Order of pole = 0.3238
x[1] = 0.607
y[1] (analytic) = -6.2467215601118317826216379228332
y[1] (numeric) = -6.246721559160650942416376446995
absolute error = 9.511808402052614758382e-10
relative error = 1.5226880709378584559533843266205e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.618
Order of pole = 0.3238
x[1] = 0.608
y[1] (analytic) = -6.2454145627815886344429907859387
y[1] (numeric) = -6.245414561829441937456943934422
absolute error = 9.521466969860468515167e-10
relative error = 1.5245532340802351103889112426708e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.618
Order of pole = 0.3238
x[1] = 0.609
y[1] (analytic) = -6.2441076690361191166951781169203
y[1] (numeric) = -6.2441076680830061113775986163831
absolute error = 9.531130053175795005372e-10
relative error = 1.5264198758838958239221083279589e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.617
Order of pole = 0.3238
x[1] = 0.61
y[1] (analytic) = -6.2428008788783225539814289352552
y[1] (numeric) = -6.2428008779242427886769105083854
absolute error = 9.540797653045184268698e-10
relative error = 1.5282879973515077812874396768700e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.617
Order of pole = 0.3238
x[1] = 0.611
y[1] (analytic) = -6.2414941923110996260049348386792
y[1] (numeric) = -6.2414941913560526489533480757431
absolute error = 9.550469770515867629361e-10
relative error = 1.5301575994865295185765562263020e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.617
Order of pole = 0.3238
x[1] = 0.612
y[1] (analytic) = -6.2401876093373523678831034273121
y[1] (numeric) = -6.2401876083813377272195316235615
absolute error = 9.560146406635718037506e-10
relative error = 1.5320286832932116309921992155118e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.617
Order of pole = 0.3238
x[1] = 0.613
y[1] (analytic) = -6.2388811299599841704620042624123
y[1] (numeric) = -6.2388811290030014142166792213231
absolute error = 9.569827562453250410892e-10
relative error = 1.5339012497765974813229337721449e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=484.4MB, alloc=4.6MB, time=53.93
Complex estimate of poles used
Radius of convergence = 9.616
Order of pole = 0.3238
x[1] = 0.614
y[1] (analytic) = -6.2375747541818997806310074623102
y[1] (numeric) = -6.2375747532239484567292452646227
absolute error = 9.579513239017621976875e-10
relative error = 1.5357752999425239091438286293902e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.616
Order of pole = 0.3238
x[1] = 0.615
y[1] (analytic) = -6.2362684820060053016376150381458
y[1] (numeric) = -6.2362684810470849578997517766809
absolute error = 9.589203437378632614649e-10
relative error = 1.5376508347976219407374625777821e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.616
Order of pole = 0.3238
x[1] = 0.616
y[1] (analytic) = -6.2349623134352081934024850721276
y[1] (numeric) = -6.2349623124753183775438125523501
absolute error = 9.598898158586725197775e-10
relative error = 1.5395278553493174997408554772850e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.616
Order of pole = 0.3238
x[1] = 0.617
y[1] (analytic) = -6.2336562484724172728346488411084
y[1] (numeric) = -6.2336562475115575324653502474093
absolute error = 9.608597403692985936991e-10
relative error = 1.5414063626058321185179951464423e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.615
Order of pole = 0.3238
x[1] = 0.618
y[1] (analytic) = -6.2323502871205427141469209883575
y[1] (numeric) = -6.2323502861587125967720065160284
absolute error = 9.618301173749144723291e-10
relative error = 1.5432863575761836502568282558509e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.615
Order of pole = 0.3238
x[1] = 0.619
y[1] (analytic) = -6.2310444293824960491715028464941
y[1] (numeric) = -6.2310444284196951021907452993656
absolute error = 9.628009469807575471285e-10
relative error = 1.5451678412701869817934327643170e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.615
Order of pole = 0.3238
x[1] = 0.62
y[1] (analytic) = -6.2297386752611901676757790146311
y[1] (numeric) = -6.2297386742974179383836493683456
absolute error = 9.637722292921296462855e-10
relative error = 1.5470508146984547471665751813906e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.614
Order of pole = 0.3238
x[1] = 0.621
y[1] (analytic) = -6.2284330247595393176783072928556
y[1] (numeric) = -6.2284330237947953532639102237499
absolute error = 9.647439644143970691057e-10
relative error = 1.5489352788723980418954249262689e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.614
Order of pole = 0.3238
x[1] = 0.622
y[1] (analytic) = -6.2271274778804591057650020772679
y[1] (numeric) = -6.2271274769147429533120114568343
absolute error = 9.657161524529906204336e-10
relative error = 1.5508212348042271379919743142542e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.614
Order of pole = 0.3238
x[1] = 0.623
y[1] (analytic) = -6.225822034626866497405511318872
y[1] (numeric) = -6.2258220336601777038921056737725
absolute error = 9.666887935134056450995e-10
relative error = 1.5527086835069521996994934104400e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.614
Order of pole = 0.3238
x[1] = 0.624
y[1] (analytic) = -6.224516695001679817269787149705
y[1] (numeric) = -6.2245166940340179295685850873083
absolute error = 9.676618877012020623967e-10
relative error = 1.5545976259943839999656848103927e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=488.3MB, alloc=4.6MB, time=54.36
Complex estimate of poles used
Radius of convergence = 9.613
Order of pole = 0.3238
x[1] = 0.625
y[1] (analytic) = -6.2232114590078187495448502796692
y[1] (numeric) = -6.2232114580391833144228458790844
absolute error = 9.686354351220044005848e-10
relative error = 1.5564880632811346376445948974546e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.613
Order of pole = 0.3238
x[1] = 0.626
y[1] (analytic) = -6.2219063266482043382517482676186
y[1] (numeric) = -6.2219063256785949023702464361976
absolute error = 9.696094358815018314210e-10
relative error = 1.5583799963826182554311318435383e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.613
Order of pole = 0.3238
x[1] = 0.627
y[1] (analytic) = -6.2206012979257589875627077703379
y[1] (numeric) = -6.2206012969551750974772595656157
absolute error = 9.705838900854482047222e-10
relative error = 1.5602734263150517585334935122636e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.613
Order of pole = 0.3238
x[1] = 0.628
y[1] (analytic) = -6.219296372843406462118480873127
y[1] (numeric) = -6.2192963718718476642788187901763
absolute error = 9.715587978396620829507e-10
relative error = 1.5621683540954555340727379581397e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.612
Order of pole = 0.3238
x[1] = 0.629
y[1] (analytic) = -6.2179915514040718873458856058034
y[1] (numeric) = -6.21799155043153772809585882997
absolute error = 9.725341592500267758334e-10
relative error = 1.5640647807416541712262116010921e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.612
Order of pole = 0.3238
x[1] = 0.63
y[1] (analytic) = -6.2166868336106817497755407479997
y[1] (numeric) = -6.2166868326371717753530503729967
absolute error = 9.735099744224903750030e-10
relative error = 1.5659627072722771820971543640707e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.612
Order of pole = 0.3238
x[1] = 0.631
y[1] (analytic) = -6.2153822194661638973597950277408
y[1] (numeric) = -6.2153822184916776538967292390672
absolute error = 9.744862434630657886736e-10
relative error = 1.5678621347067597233312239738991e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.612
Order of pole = 0.3238
x[1] = 0.632
y[1] (analytic) = -6.2140777089734475397908508173464
y[1] (numeric) = -6.2140777079979845733130200410069
absolute error = 9.754629664778307763395e-10
relative error = 1.5697630640653433184627378028270e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.611
Order of pole = 0.3238
x[1] = 0.633
y[1] (analytic) = -6.2127733021354632488190824308082
y[1] (numeric) = -6.2127733011590231052461544473032
absolute error = 9.764401435729279835050e-10
relative error = 1.5716654963690765810039835064294e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.611
Order of pole = 0.3238
x[1] = 0.634
y[1] (analytic) = -6.2114689989551429585715491268643
y[1] (numeric) = -6.2114689979777251837169841504229
absolute error = 9.774177748545649764414e-10
relative error = 1.5735694326398159382722966334376e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.611
Order of pole = 0.3239
x[1] = 0.635
y[1] (analytic) = -6.2101647994354199658707029220824
y[1] (numeric) = -6.2101647984570241054416886451103
absolute error = 9.783958604290142769721e-10
relative error = 1.5754748739002263559571623294412e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.61
Order of pole = 0.3239
memory used=492.1MB, alloc=4.6MB, time=54.79
x[1] = 0.636
y[1] (analytic) = -6.2088607035792289305532913183488
y[1] (numeric) = -6.2088607025998545301506779210613
absolute error = 9.793744004026133972875e-10
relative error = 1.5773818211737820634308901492469e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.61
Order of pole = 0.3239
x[1] = 0.637
y[1] (analytic) = -6.20755671138950587578945504924
y[1] (numeric) = -6.2075567104091524809076901744546
absolute error = 9.803533948817648747854e-10
relative error = 1.5792902754847672797967509360889e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.61
Order of pole = 0.3239
x[1] = 0.638
y[1] (analytic) = -6.2062528228691881884020209498485
y[1] (numeric) = -6.2062528218878553444290846429052
absolute error = 9.813328439729363069433e-10
relative error = 1.5812002378582769406856947478055e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.61
Order of pole = 0.3239
x[1] = 0.639
y[1] (analytic) = -6.2049490380212146191859900547049
y[1] (numeric) = -6.2049490370389018714033296684905
absolute error = 9.823127477826603862144e-10
relative error = 1.5831117093202174257892575144296e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.609
Order of pole = 0.3239
x[1] = 0.64
y[1] (analytic) = -6.2036453568485252832282210285426
y[1] (numeric) = -6.2036453558652321768106860935845
absolute error = 9.832931064175349349581e-10
relative error = 1.5850246908973072871468700450667e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.609
Order of pole = 0.3239
x[1] = 0.641
y[1] (analytic) = -6.2023417793540616602273090347136
y[1] (numeric) = -6.2023417783697877402430860943213
absolute error = 9.842739199842229403923e-10
relative error = 1.5869391836170779781679243304923e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.609
Order of pole = 0.3239
x[1] = 0.642
y[1] (analytic) = -6.2010383055407665948136601461722
y[1] (numeric) = -6.2010383045555114062242075565928
absolute error = 9.852551885894525895794e-10
relative error = 1.5888551885078745834085894385429e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.609
Order of pole = 0.3239
x[1] = 0.643
y[1] (analytic) = -6.1997349354115842968697614040099
y[1] (numeric) = -6.1997349344253473845297440995726
absolute error = 9.862369123400173044373e-10
relative error = 1.5907727065988565490901753157106e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.608
Order of pole = 0.3239
x[1] = 0.644
y[1] (analytic) = -6.1984316689694603418506466286239
y[1] (numeric) = -6.1984316679822412505078708518424
absolute error = 9.872190913427757767815e-10
relative error = 1.5926917389199984143696972198898e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.608
Order of pole = 0.3239
x[1] = 0.645
y[1] (analytic) = -6.1971285062173416711045580886757
y[1] (numeric) = -6.1971285052291399453999060852828
absolute error = 9.882017257046520033929e-10
relative error = 1.5946122865020905433547540644558e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.608
Order of pole = 0.3239
x[1] = 0.646
y[1] (analytic) = -6.1958254471581765921938041330928
y[1] (numeric) = -6.1958254461689917766611688119758
absolute error = 9.891848155326353211170e-10
relative error = 1.5965343503767398578727355837795e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.607
Order of pole = 0.3239
x[1] = 0.647
y[1] (analytic) = -6.1945224917949147792158128914421
y[1] (numeric) = -6.1945224908047464182820324494525
absolute error = 9.901683609337804419896e-10
relative error = 1.5984579315763705709872778049906e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=495.9MB, alloc=4.6MB, time=55.22
Complex estimate of poles used
Radius of convergence = 9.607
Order of pole = 0.3239
x[1] = 0.648
y[1] (analytic) = -6.1932196401305072731243821480953
y[1] (numeric) = -6.1932196391393549111091746597043
absolute error = 9.911523620152074883910e-10
relative error = 1.6003830311342249212660152206985e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.607
Order of pole = 0.3239
x[1] = 0.649
y[1] (analytic) = -6.1919168921679064820511254956932
y[1] (numeric) = -6.1919168911757696631670234674622
absolute error = 9.921368188841020282310e-10
relative error = 1.6023096500843639078041689868854e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.607
Order of pole = 0.3239
x[1] = 0.65
y[1] (analytic) = -6.1906142479100661816271148734944
y[1] (numeric) = -6.1906142469169444499793997633347
absolute error = 9.931217316477151101597e-10
relative error = 1.6042377894616680259967256776318e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.606
Order of pole = 0.3239
x[1] = 0.651
y[1] (analytic) = -6.1893117073599415153047195962892
y[1] (numeric) = -6.1893117063658344148913562974795
absolute error = 9.941071004133632988097e-10
relative error = 1.6061674503018380040690748368705e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.606
Order of pole = 0.3239
x[1] = 0.652
y[1] (analytic) = -6.1880092705204889946796419796359
y[1] (numeric) = -6.1880092695253960693912132695723
absolute error = 9.950929252884287100636e-10
relative error = 1.6080986336413955403570822607423e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.606
Order of pole = 0.3239
x[1] = 0.653
y[1] (analytic) = -6.1867069373946664998131496672733
y[1] (numeric) = -6.1867069363985872934327906209199
absolute error = 9.960792063803590463534e-10
relative error = 1.6100313405176840413480882394949e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.606
Order of pole = 0.3239
x[1] = 0.654
y[1] (analytic) = -6.1854047079854332795545047666387
y[1] (numeric) = -6.1854047069883673357578371346517
absolute error = 9.970659437966676319870e-10
relative error = 1.6119655719688693604759084661895e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.605
Order of pole = 0.3239
x[1] = 0.655
y[1] (analytic) = -6.1841025822957499518635898985142
y[1] (numeric) = -6.1841025812976968142186564500105
absolute error = 9.980531376449334485037e-10
relative error = 1.6139013290339405376737374961762e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.605
Order of pole = 0.3239
x[1] = 0.656
y[1] (analytic) = -6.1828005603285785041337312669077
y[1] (numeric) = -6.1828005593295377161009300968489
absolute error = 9.990407880328011700588e-10
relative error = 1.6158386127527105396859495180163e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.605
Order of pole = 0.3239
x[1] = 0.657
y[1] (analytic) = -6.1814986420868822935147188553593
y[1] (numeric) = -6.1814986410868533984467376565235
absolute error = 1.0000288950679811988358e-09
relative error = 1.6177774241658170011372041101760e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.604
Order of pole = 0.3239
x[1] = 0.658
y[1] (analytic) = -6.1801968275736260472360238559569
y[1] (numeric) = -6.1801968265726085883777741554675
absolute error = 1.0010174588582497004894e-09
relative error = 1.6197177643147229663648665163474e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=499.7MB, alloc=4.6MB, time=55.64
Complex estimate of poles used
Radius of convergence = 9.604
Order of pole = 0.3239
x[1] = 0.659
y[1] (analytic) = -6.178895116791775862930213437421
y[1] (numeric) = -6.1788951157897693834187647978057
absolute error = 1.0020064795114486396153e-09
relative error = 1.6216596342417176320091091384145e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.604
Order of pole = 0.3239
x[1] = 0.66
y[1] (analytic) = -6.1775935097442992089565629587162
y[1] (numeric) = -6.1775935087413032518210771434659
absolute error = 1.0029959571354858152503e-09
relative error = 1.6236030349899170903671917042484e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.604
Order of pole = 0.3239
x[1] = 0.661
y[1] (analytic) = -6.1762920064341649247248657347242
y[1] (numeric) = -6.1762920054301790328865308383238
absolute error = 1.0039858918383348964004e-09
relative error = 1.6255479676032650735090373794321e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.603
Order of pole = 0.3239
x[1] = 0.662
y[1] (analytic) = -6.1749906068643432210194404606067
y[1] (numeric) = -6.1749906058593669372914050030081
absolute error = 1.0049762837280354575986e-09
relative error = 1.6274944331265336981576945772854e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.603
Order of pole = 0.324
x[1] = 0.663
y[1] (analytic) = -6.1736893110378056803233364015682
y[1] (numeric) = -6.1736893100318385474106433870775
absolute error = 1.0059671329126930144907e-09
relative error = 1.6294424326053242113327726371310e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.603
Order of pole = 0.324
x[1] = 0.664
y[1] (analytic) = -6.1723881189575252571427364548202
y[1] (numeric) = -6.1723881179505668176422573953691
absolute error = 1.0069584395004790594511e-09
relative error = 1.6313919670860677367609303572045e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.603
Order of pole = 0.324
x[1] = 0.665
y[1] (analytic) = -6.1710870306264762783315581906288
y[1] (numeric) = -6.1710870296185260747319270934031
absolute error = 1.0079502035996310972257e-09
relative error = 1.6333430376160260220495625974549e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.602
Order of pole = 0.324
x[1] = 0.666
y[1] (analytic) = -6.1697860460476344434162529794252
y[1] (numeric) = -6.1697860450386920180978002988181
absolute error = 1.0089424253184526806071e-09
relative error = 1.6352956452432921866329517599985e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.602
Order of pole = 0.324
x[1] = 0.667
y[1] (analytic) = -6.1684851652239768249208033120313
y[1] (numeric) = -6.1684851642140417201554898658961
absolute error = 1.0099351047653134461352e-09
relative error = 1.6372497910167914704805503549559e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.602
Order of pole = 0.324
x[1] = 0.668
y[1] (analytic) = -6.1671843881584818686919184201537
y[1] (numeric) = -6.1671843871475536266432692703243
absolute error = 1.0109282420486491498294e-09
relative error = 1.6392054759862819835782844807682e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.601
Order of pole = 0.324
x[1] = 0.669
y[1] (analytic) = -6.1658837148541293942244283043768
y[1] (numeric) = -6.1658837138422075569474666014283
absolute error = 1.0119218372769617029485e-09
relative error = 1.6411627012023554561774055702870e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=503.5MB, alloc=4.6MB, time=56.06
Complex estimate of poles used
Radius of convergence = 9.601
Order of pole = 0.324
x[1] = 0.67
y[1] (analytic) = -6.164583145313900594986876276978
y[1] (numeric) = -6.1645831443009847044280570691982
absolute error = 1.0129158905588192077798e-09
relative error = 1.6431214677164379898141678312542e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.601
Order of pole = 0.324
x[1] = 0.671
y[1] (analytic) = -6.1632826795407780387473101269754
y[1] (numeric) = -6.1632826785268676367444541335158
absolute error = 1.0139104020028559934596e-09
relative error = 1.6450817765807908091047497006136e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.601
Order of pole = 0.324
x[1] = 0.672
y[1] (analytic) = -6.1619823175377456678992720148987
y[1] (numeric) = -6.1619823165228402961814993630807
absolute error = 1.0149053717177726518180e-09
relative error = 1.6470436288485110143047521439220e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.6
Order of pole = 0.324
x[1] = 0.673
y[1] (analytic) = -6.160682059307788799787987204875
y[1] (numeric) = -6.1606820582918879999756511316169
absolute error = 1.0159007998123360732581e-09
relative error = 1.6490070255735323346505072028145e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.6
Order of pole = 0.324
x[1] = 0.674
y[1] (analytic) = -6.1593819048538941270367517416953
y[1] (numeric) = -6.1593819038369974406413722590333
absolute error = 1.0168966863953794826620e-09
relative error = 1.6509719678106258824707222465900e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.6
Order of pole = 0.324
x[1] = 0.675
y[1] (analytic) = -6.1580818541790497178735191806206
y[1] (numeric) = -6.1580818531611566862977167052962
absolute error = 1.0178930315758024753244e-09
relative error = 1.6529384566154009080706062084977e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.6
Order of pole = 0.324
x[1] = 0.676
y[1] (analytic) = -6.1567819072862450164576864777784
y[1] (numeric) = -6.1567819062673551809951154248596
absolute error = 1.0188898354625710529188e-09
relative error = 1.6549064930443055553974490562919e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.599
Order of pole = 0.324
x[1] = 0.677
y[1] (analytic) = -6.1554820641784708432070791490813
y[1] (numeric) = -6.1554820631585837450423614895897
absolute error = 1.0198870981647176594916e-09
relative error = 1.6568760781546276184808821881706e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.599
Order of pole = 0.324
x[1] = 0.678
y[1] (analytic) = -6.1541823248587193951251358056874
y[1] (numeric) = -6.1541823238378345753337945882043
absolute error = 1.0208848197913412174831e-09
relative error = 1.6588472130044952986470477669836e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.599
Order of pole = 0.324
x[1] = 0.679
y[1] (analytic) = -6.1528826893299842461282921741209
y[1] (numeric) = -6.1528826883081012456766850103379
absolute error = 1.0218830004516071637830e-09
relative error = 1.6608198986528779625198804849482e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.598
Order of pole = 0.3241
x[1] = 0.68
y[1] (analytic) = -6.151583157595260347373564709241
y[1] (numeric) = -6.1515831565723787071188172234311
absolute error = 1.0228816402547474858099e-09
relative error = 1.6627941361595869007933038408986e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=507.3MB, alloc=4.6MB, time=56.49
Complex estimate of poles used
Radius of convergence = 9.598
Order of pole = 0.3241
x[1] = 0.681
y[1] (analytic) = -6.1502837296575440275863339083533
y[1] (numeric) = -6.1502837286336632882762731507299
absolute error = 1.0238807393100607576234e-09
relative error = 1.6647699265852760877891707010001e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.598
Order of pole = 0.3241
x[1] = 0.682
y[1] (analytic) = -6.1489844055198329933883274348356
y[1] (numeric) = -6.1489844044949526956614152587704
absolute error = 1.0248802977269121760652e-09
relative error = 1.6667472709914429417959619050155e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.598
Order of pole = 0.3241
x[1] = 0.683
y[1] (analytic) = -6.1476851851851263296258031597386
y[1] (numeric) = -6.1476851841592460140110695628106
absolute error = 1.0258803156147335969280e-09
relative error = 1.6687261704404290861871517482217e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.597
Order of pole = 0.3241
x[1] = 0.684
y[1] (analytic) = -6.146386068656424499697932229917
y[1] (numeric) = -6.1463860676295437066149086587612
absolute error = 1.0268807930830235711558e-09
relative error = 1.6707066259954211113259563830714e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.597
Order of pole = 0.3241
x[1] = 0.685
y[1] (analytic) = -6.1450870559367293458853822713276
y[1] (numeric) = -6.1450870549088476156440348902545
absolute error = 1.0278817302413473810731e-09
relative error = 1.6726886387204513372532655055407e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.597
Order of pole = 0.3241
x[1] = 0.686
y[1] (analytic) = -6.1437881470290440896791008362213
y[1] (numeric) = -6.1437881460001609624797637595791
absolute error = 1.0288831271993370766422e-09
relative error = 1.6746722096803985771583188908709e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.597
Order of pole = 0.3241
x[1] = 0.687
y[1] (analytic) = -6.1424893419363733321092992030498
y[1] (numeric) = -6.1424893409064883480426076912972
absolute error = 1.0298849840666915117526e-09
relative error = 1.6766573399409889016395026134655e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.596
Order of pole = 0.3241
x[1] = 0.688
y[1] (analytic) = -6.1411906406617230540746366379869
y[1] (numeric) = -6.1411906396308357531214602574493
absolute error = 1.0308873009531763805376e-09
relative error = 1.6786440305687964037481595490397e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.596
Order of pole = 0.3241
x[1] = 0.689
y[1] (analytic) = -6.1398920432081006166716052270625
y[1] (numeric) = -6.1398920421762105387029809733405
absolute error = 1.0318900779686242537220e-09
relative error = 1.6806322826312439648226288209819e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.596
Order of pole = 0.3241
x[1] = 0.69
y[1] (analytic) = -6.1385935495785147615241153879879
y[1] (numeric) = -6.13859354854562144630118077299
absolute error = 1.0328933152229346149979e-09
relative error = 1.6826220971966040211085002919791e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.595
Order of pole = 0.3241
x[1] = 0.691
y[1] (analytic) = -6.1372951597759756111132821708491
y[1] (numeric) = -6.1372951587420785982872082734163
absolute error = 1.0338970128260738974328e-09
relative error = 1.6846134753339993311727945474216e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.595
Order of pole = 0.3241
memory used=511.1MB, alloc=4.6MB, time=56.89
x[1] = 0.692
y[1] (analytic) = -6.1359968738034946691074124569207
y[1] (numeric) = -6.1359968727685934982193369370171
absolute error = 1.0349011708880755199036e-09
relative error = 1.6866064181134037441025163499853e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.595
Order of pole = 0.3242
x[1] = 0.693
y[1] (analytic) = -6.1346986916640848206921931649578
y[1] (numeric) = -6.1346986906281790311731532413944
absolute error = 1.0359057895190399235634e-09
relative error = 1.6886009266056429684996929148352e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.595
Order of pole = 0.3242
x[1] = 0.694
y[1] (analytic) = -6.1334006133607603329010805743987
y[1] (numeric) = -6.1334006123238494640719459660623
absolute error = 1.0369108688291346083364e-09
relative error = 1.6905970018823953422661156136412e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.594
Order of pole = 0.3242
x[1] = 0.695
y[1] (analytic) = -6.1321026388965368549458908750091
y[1] (numeric) = -6.1321026378586204460172967055648
absolute error = 1.0379164089285941694443e-09
relative error = 1.6925946450161926031842009873862e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.594
Order of pole = 0.3242
x[1] = 0.696
y[1] (analytic) = -6.1308047682744314185475920525801
y[1] (numeric) = -6.1308047672355090086198717186213
absolute error = 1.0389224099277203339588e-09
relative error = 1.6945938570804206602860436559367e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.594
Order of pole = 0.3242
x[1] = 0.697
y[1] (analytic) = -6.1295070014974624382672972203935
y[1] (numeric) = -6.1295070004575335663304152230047
absolute error = 1.0399288719368819973888e-09
relative error = 1.6965946391493203660255602036949e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.593
Order of pole = 0.3242
x[1] = 0.698
y[1] (analytic) = -6.1282093385686497118374595062402
y[1] (numeric) = -6.1282093375277139167709442459477
absolute error = 1.0409357950665152602925e-09
relative error = 1.6985969922979882892386228622943e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.593
Order of pole = 0.3242
x[1] = 0.699
y[1] (analytic) = -6.1269117794910144204932686048863
y[1] (numeric) = -6.1269117784490712410661451399627
absolute error = 1.0419431794271234649236e-09
relative error = 1.7006009176023774889070665341743e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.593
Order of pole = 0.3242
x[1] = 0.7
y[1] (analytic) = -6.125614324267579129304249105953
y[1] (numeric) = -6.125614323224628104174971874049
absolute error = 1.0429510251292772319040e-09
relative error = 1.7026064161392982887150533803888e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.593
Order of pole = 0.3242
x[1] = 0.701
y[1] (analytic) = -6.1243169729013677875060607072806
y[1] (numeric) = -6.124316971857408455222446210351
absolute error = 1.0439593322836144969296e-09
relative error = 1.7046134889864190524094455178044e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.592
Order of pole = 0.3242
x[1] = 0.702
y[1] (analytic) = -6.1230197253954057288325004239231
y[1] (numeric) = -6.1230197243504376278316598764218
absolute error = 1.0449681010008405475013e-09
relative error = 1.7066221372222669599521745754585e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.592
Order of pole = 0.3242
x[1] = 0.703
y[1] (analytic) = -6.1217225817527196718477069030268
y[1] (numeric) = -6.1217225807067423404559788433349
absolute error = 1.0459773313917280596919e-09
relative error = 1.7086323619262287844829596820198e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=515.0MB, alloc=4.6MB, time=57.32
Complex estimate of poles used
Radius of convergence = 9.592
Order of pole = 0.3242
x[1] = 0.704
y[1] (analytic) = -6.1204255419763377202785669549157
y[1] (numeric) = -6.1204255409293506967114498199774
absolute error = 1.0469870235671171349383e-09
relative error = 1.7106441641785516700759546506468e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.592
Order of pole = 0.3243
x[1] = 0.705
y[1] (analytic) = -6.1191286060692893633473244108134
y[1] (numeric) = -6.1191286050212921857094090739478
absolute error = 1.0479971776379153368656e-09
relative error = 1.7126575450603439103019854394495e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.591
Order of pole = 0.3243
x[1] = 0.706
y[1] (analytic) = -6.1178317740346054761043914177117
y[1] (numeric) = -6.1178317729855976823892936895712
absolute error = 1.0490077937150977281405e-09
relative error = 1.7146725056535757275930203155449e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.591
Order of pole = 0.3243
x[1] = 0.707
y[1] (analytic) = -6.1165350458753183197613622809914
y[1] (numeric) = -6.1165350448252994478516553736357
absolute error = 1.0500188719097069073557e-09
relative error = 1.7166890470410800534125391568151e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.591
Order of pole = 0.3243
x[1] = 0.708
y[1] (analytic) = -6.1152384215944615420242299654862
y[1] (numeric) = -6.1152384205434311296913769195424
absolute error = 1.0510304123328530459438e-09
relative error = 1.7187071703065533092302412932646e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.59
Order of pole = 0.3243
x[1] = 0.709
y[1] (analytic) = -6.1139419011950701774268053657738
y[1] (numeric) = -6.1139419001430277623310914406528
absolute error = 1.0520424150957139251210e-09
relative error = 1.7207268765345561883024723093121e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.59
Order of pole = 0.3243
x[1] = 0.71
y[1] (analytic) = -6.1126454846801806476643394565695
y[1] (numeric) = -6.1126454836271257673548044837082
absolute error = 1.0530548803095349728613e-09
relative error = 1.7227481668105144382604065284340e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.59
Order of pole = 0.3243
x[1] = 0.711
y[1] (analytic) = -6.1113491720528307619273484341837
y[1] (numeric) = -6.1113491709987629538417191332836
absolute error = 1.0540678080856293009001e-09
relative error = 1.7247710422207196445050795938852e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.59
Order of pole = 0.3243
x[1] = 0.712
y[1] (analytic) = -6.1100529633160597172356419601023
y[1] (numeric) = -6.1100529622609785187002642183321
absolute error = 1.0550811985353777417702e-09
relative error = 1.7267955038523300144150738499302e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.589
Order of pole = 0.3243
x[1] = 0.713
y[1] (analytic) = -6.1087568584729080987725546178293
y[1] (numeric) = -6.1087568574168130470023257319647
absolute error = 1.0560950517702288858646e-09
relative error = 1.7288215527933711623585905017187e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.589
Order of pole = 0.3243
x[1] = 0.714
y[1] (analytic) = -6.1074608575264178802193806942321
y[1] (numeric) = -6.1074608564693085123176815757003
absolute error = 1.0571093679016991185318e-09
relative error = 1.7308491901327368955201300323160e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=518.8MB, alloc=4.6MB, time=57.73
Complex estimate of poles used
Radius of convergence = 9.589
Order of pole = 0.3244
x[1] = 0.715
y[1] (analytic) = -6.106164960479632424090012396715
y[1] (numeric) = -6.1061649594215082770486397395133
absolute error = 1.0581241470413726572017e-09
relative error = 1.7328784169601900005395728481948e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.589
Order of pole = 0.3244
x[1] = 0.716
y[1] (analytic) = -6.1048691673355964820657816176361
y[1] (numeric) = -6.1048691662764570927648800290958
absolute error = 1.0591393893009015885403e-09
relative error = 1.7349092343663630309616117497684e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.588
Order of pole = 0.3244
x[1] = 0.717
y[1] (analytic) = -6.1035734780973561953305053574768
y[1] (numeric) = -6.1035734770372011005384994518421
absolute error = 1.0601550947920059056347e-09
relative error = 1.7369416434427590954988905853847e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.588
Order of pole = 0.3244
x[1] = 0.718
y[1] (analytic) = -6.1022778927679590949057349183639
y[1] (numeric) = -6.1022778917067878312792613731541
absolute error = 1.0611712636264735452098e-09
relative error = 1.7389756452817526471120448439708e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.588
Order of pole = 0.3244
x[1] = 0.719
y[1] (analytic) = -6.1009824113504541019862089796328
y[1] (numeric) = -6.1009824102882662060700485547588
absolute error = 1.0621878959161604248740e-09
relative error = 1.7410112409765902729031247119214e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.587
Order of pole = 0.3244
x[1] = 0.72
y[1] (analytic) = -6.099687033847891528275510667214
y[1] (numeric) = -6.0996870327846865365025201868172
absolute error = 1.0632049917729904803968e-09
relative error = 1.7430484316213914848280555085425e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.587
Order of pole = 0.3244
x[1] = 0.721
y[1] (analytic) = -6.098391760263323076321928728713
y[1] (numeric) = -6.0983917591991005250129730256981
absolute error = 1.0642225513089557030149e-09
relative error = 1.7450872183111495112234690012641e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.587
Order of pole = 0.3244
x[1] = 0.722
y[1] (analytic) = -6.0970965905998018398545229261487
y[1] (numeric) = -6.0970965895345612652184067493793
absolute error = 1.0652405746361161767694e-09
relative error = 1.7471276021417320891530714889566e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.587
Order of pole = 0.3244
x[1] = 0.723
y[1] (analytic) = -6.0958015248603823041193937584058
y[1] (numeric) = -6.0958015237941232422527936425312
absolute error = 1.0662590618666001158746e-09
relative error = 1.7491695842098822575752778975995e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.586
Order of pole = 0.3245
x[1] = 0.724
y[1] (analytic) = -6.0945065630481203462161566255453
y[1] (numeric) = -6.0945065619808423331035527234291
absolute error = 1.0672780131126039021162e-09
relative error = 1.7512131656132191513294134201057e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.586
Order of pole = 0.3245
x[1] = 0.725
y[1] (analytic) = -6.0932117051660732354346205472101
y[1] (numeric) = -6.0932117040977758069482284249309
absolute error = 1.0682974284863921222792e-09
relative error = 1.7532583474502387959418821373885e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=522.6MB, alloc=4.6MB, time=58.13
Complex estimate of poles used
Radius of convergence = 9.586
Order of pole = 0.3245
x[1] = 0.726
y[1] (analytic) = -6.0919169512172996335916715474587
y[1] (numeric) = -6.0919169501479823254913739418501
absolute error = 1.0693173081002976056086e-09
relative error = 1.7553051308203149032583002590514e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.585
Order of pole = 0.3245
x[1] = 0.727
y[1] (analytic) = -6.0906223012048595953683608184427
y[1] (numeric) = -6.0906223001345219433016393571442
absolute error = 1.0703376520667214612985e-09
relative error = 1.7573535168236996678952873751485e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.585
Order of pole = 0.3245
x[1] = 0.728
y[1] (analytic) = -6.0893277551318145686471977754447
y[1] (numeric) = -6.0893277540604561081490646594314
absolute error = 1.0713584604981331160133e-09
relative error = 1.7594035065615245645188999091001e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.585
Order of pole = 0.3245
x[1] = 0.729
y[1] (analytic) = -6.0880333130012273948496481158765
y[1] (numeric) = -6.088033311928847661342577764439
absolute error = 1.0723797335070703514375e-09
relative error = 1.7614551011358011459448759288691e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.585
Order of pole = 0.3245
x[1] = 0.73
y[1] (analytic) = -6.0867389748161623092738369949399
y[1] (numeric) = -6.0867389737427608380676976530802
absolute error = 1.0734014712061393418597e-09
relative error = 1.7635083016494218420708023525941e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.584
Order of pole = 0.3245
x[1] = 0.731
y[1] (analytic) = -6.0854447405796849414324574307293
y[1] (numeric) = -6.0854447395052612677244427389469
absolute error = 1.0744236737080146917824e-09
relative error = 1.7655631092061607596273266392722e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.584
Order of pole = 0.3245
x[1] = 0.732
y[1] (analytic) = -6.0841506102948623153908840516655
y[1] (numeric) = -6.0841506092194159742654445780984
absolute error = 1.0754463411254394735671e-09
relative error = 1.7676195249106744827649334065549e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.584
Order of pole = 0.3246
x[1] = 0.733
y[1] (analytic) = -6.0828565839647628501054922992259
y[1] (numeric) = -6.082856582888293376534267034118
absolute error = 1.0764694735712252651079e-09
relative error = 1.7696775498685028744660374788213e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.584
Order of pole = 0.3246
x[1] = 0.734
y[1] (analytic) = -6.081562661592456359762183199037
y[1] (numeric) = -6.0815626605149632886039310115023
absolute error = 1.0774930711582521875347e-09
relative error = 1.7717371851860698787851170652334e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.583
Order of pole = 0.3246
x[1] = 0.735
y[1] (analytic) = -6.0802688431810140541151138134888
y[1] (numeric) = -6.0802688421024969201156448705387
absolute error = 1.0785171339994689429501e-09
relative error = 1.7737984319706843239245489592092e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.583
Order of pole = 0.3246
x[1] = 0.736
y[1] (analytic) = -6.0789751287335085388256334891149
y[1] (numeric) = -6.0789751276539668766177406369205
absolute error = 1.0795416622078928521944e-09
relative error = 1.7758612913305407261378636196775e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=526.4MB, alloc=4.6MB, time=58.53
Complex estimate of poles used
Radius of convergence = 9.583
Order of pole = 0.3246
x[1] = 0.737
y[1] (analytic) = -6.0776815182530138158014260120845
y[1] (numeric) = -6.0776815171724471599048161194412
absolute error = 1.0805666558966098926433e-09
relative error = 1.7779257643747200944689061649209e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.582
Order of pole = 0.3246
x[1] = 0.738
y[1] (analytic) = -6.0763880117426052835358577852359
y[1] (numeric) = -6.0763880106610131683570830492003
absolute error = 1.0815921151787747360356e-09
relative error = 1.7799918522131907363233896067363e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.582
Order of pole = 0.3246
x[1] = 0.739
y[1] (analytic) = -6.0750946092053597374475321401799
y[1] (numeric) = -6.0750946081227416972799213538486
absolute error = 1.0826180401676107863313e-09
relative error = 1.7820595559568090638744230263358e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.582
Order of pole = 0.3246
x[1] = 0.74
y[1] (analytic) = -6.073801310644355370220049898092
y[1] (numeric) = -6.0738013095607109392436396804906
absolute error = 1.0836444309764102176014e-09
relative error = 1.7841288767173204013050814218853e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.582
Order of pole = 0.3247
x[1] = 0.741
y[1] (analytic) = -6.0725081160626717721419762929049
y[1] (numeric) = -6.0725081149780004844234422809564
absolute error = 1.0846712877185340119485e-09
relative error = 1.7861998156073597928874658546987e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.581
Order of pole = 0.3247
x[1] = 0.742
y[1] (analytic) = -6.0712150254633899314470143707058
y[1] (numeric) = -6.071215024377691320939602373247
absolute error = 1.0856986105074119974588e-09
relative error = 1.7882723737404528119001718127726e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.581
Order of pole = 0.3247
x[1] = 0.743
y[1] (analytic) = -6.0699220388495922346543849792336
y[1] (numeric) = -6.0699220377628658351978420930509
absolute error = 1.0867263994565428861827e-09
relative error = 1.7903465522310163703804851449387e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.581
Order of pole = 0.3247
x[1] = 0.744
y[1] (analytic) = -6.0686291562243624669094134614726
y[1] (numeric) = -6.0686291551366078122299191493219
absolute error = 1.0877546546794943121507e-09
relative error = 1.7924223521943595297232724775333e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.58
Order of pole = 0.3247
x[1] = 0.745
y[1] (analytic) = -6.0673363775907858123243231674174
y[1] (numeric) = -6.0673363765020024360344202980017
absolute error = 1.0887833762899028694157e-09
relative error = 1.7944997747466843121128415332436e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.58
Order of pole = 0.3247
x[1] = 0.746
y[1] (analytic) = -6.0660437029519488543192358981931
y[1] (numeric) = -6.0660437018621362899177617480636
absolute error = 1.0898125644014741501295e-09
relative error = 1.7965788210050865128015532243473e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.58
Order of pole = 0.3247
x[1] = 0.747
y[1] (analytic) = -6.0647511323109395759633793967964
y[1] (numeric) = -6.0647511312200973568353966141472
absolute error = 1.0908422191279827826492e-09
relative error = 1.7986594920875565132290390936455e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.58
Order of pole = 0.3247
memory used=530.2MB, alloc=4.6MB, time=58.96
x[1] = 0.748
y[1] (analytic) = -6.0634586656708473603165019998224
y[1] (numeric) = -6.0634586645789750197332295301473
absolute error = 1.0918723405832724696751e-09
relative error = 1.8007417891129800949855971656283e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.579
Order of pole = 0.3248
x[1] = 0.749
y[1] (analytic) = -6.0621663030347629907704945646312
y[1] (numeric) = -6.0621663019418600618892385382123
absolute error = 1.0929029288812560264189e-09
relative error = 1.8028257132011392546187261064165e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.579
Order of pole = 0.3248
x[1] = 0.75
y[1] (analytic) = -6.0608740444057786513912197865079
y[1] (numeric) = -6.0608740433118446672553043677037
absolute error = 1.0939339841359154188042e-09
relative error = 1.8049112654727130192870351347265e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.579
Order of pole = 0.3248
x[1] = 0.751
y[1] (analytic) = -6.0595818897869879272605490204567
y[1] (numeric) = -6.0595818886920224207992472187584
absolute error = 1.0949655064613018016983e-09
relative error = 1.8069984470492782632608230698679e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.579
Order of pole = 0.3248
x[1] = 0.752
y[1] (analytic) = -6.0582898391814858048186067223643
y[1] (numeric) = -6.0582898380854883088470711651915
absolute error = 1.0959974959715355571728e-09
relative error = 1.8090872590533105252661423003363e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.578
Order of pole = 0.3248
x[1] = 0.753
y[1] (analytic) = -6.0569978925923686722062226243702
y[1] (numeric) = -6.0569978914953387194254162915708
absolute error = 1.0970299527808063327994e-09
relative error = 1.8111777026081848266838513205238e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.578
Order of pole = 0.3248
x[1] = 0.754
y[1] (analytic) = -6.0557060500227343196075917593586
y[1] (numeric) = -6.055706048924671442604218679386
absolute error = 1.0980628770033730799726e-09
relative error = 1.8132697788381764905909040401934e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.578
Order of pole = 0.3248
x[1] = 0.755
y[1] (analytic) = -6.0544143114756819395931424496008
y[1] (numeric) = -6.0544143103765856708395783573323
absolute error = 1.0990962687535640922685e-09
relative error = 1.8153634888684619616600063813219e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.577
Order of pole = 0.3249
x[1] = 0.756
y[1] (analytic) = -6.0531226769543121274626123746494
y[1] (numeric) = -6.05312267585418199931683533082
absolute error = 1.1001301281457770438294e-09
relative error = 1.8174588338251196269015829865000e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.577
Order of pole = 0.3249
x[1] = 0.757
y[1] (analytic) = -6.0518311464617268815883328337022
y[1] (numeric) = -6.0518311453605624262938538059164
absolute error = 1.1011644552944790277858e-09
relative error = 1.8195558148351306372681563863655e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.577
Order of pole = 0.3249
x[1] = 0.758
y[1] (analytic) = -6.0505397200010296037587213177243
y[1] (numeric) = -6.0505397188988303534445147230204
absolute error = 1.1021992503142065947039e-09
relative error = 1.8216544330263797301024353391877e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.577
Order of pole = 0.3249
x[1] = 0.759
y[1] (analytic) = -6.0492483975753250995219825067335
y[1] (numeric) = -6.0492483964720905862024167156642
absolute error = 1.1032345133195657910693e-09
relative error = 1.8237546895276560524477366694388e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=534.0MB, alloc=4.6MB, time=59.38
Complex estimate of poles used
Radius of convergence = 9.576
Order of pole = 0.3249
x[1] = 0.76
y[1] (analytic) = -6.0479571791877195785300178077302
y[1] (numeric) = -6.0479571780834493341047856099314
absolute error = 1.1042702444252321977988e-09
relative error = 1.8258565854686539852083114156931e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.576
Order of pole = 0.3249
x[1] = 0.761
y[1] (analytic) = -6.0466660648413206548825435488598
y[1] (numeric) = -6.0466660637360142111365925800739
absolute error = 1.1053064437459509687859e-09
relative error = 1.8279601219799739681697815209413e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.576
Order of pole = 0.3249
x[1] = 0.762
y[1] (analytic) = -6.0453750545392373474714179454821
y[1] (numeric) = -6.0453750534328942360748810760057
absolute error = 1.1063431113965368694764e-09
relative error = 1.8300653001931233258746920363026e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.575
Order of pole = 0.325
x[1] = 0.763
y[1] (analytic) = -6.0440841482845800803251769539221
y[1] (numeric) = -6.0440841471771998328333026384458
absolute error = 1.1073802474918743154763e-09
relative error = 1.8321721212405170943577709759908e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.575
Order of pole = 0.325
x[1] = 0.764
y[1] (analytic) = -6.0427933460804606829537791287668
y[1] (numeric) = -6.042793344972042830806861717576
absolute error = 1.1084178521469174111908e-09
relative error = 1.8342805862554788487398698155185e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.575
Order of pole = 0.325
x[1] = 0.765
y[1] (analytic) = -6.0415026479299923906935595996706
y[1] (numeric) = -6.0415026468205364652168696111764
absolute error = 1.1094559254766899884942e-09
relative error = 1.8363906963722415316812106284723e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.575
Order of pole = 0.325
x[1] = 0.766
y[1] (analytic) = -6.040212053836289845052393283727
y[1] (numeric) = -6.0402120527257953774561076382928
absolute error = 1.1104944675962856454342e-09
relative error = 1.8385024527259482827006920815705e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.574
Order of pole = 0.325
x[1] = 0.767
y[1] (analytic) = -6.0389215638024690940550674495532
y[1] (numeric) = -6.0389215626909356154341996645891
absolute error = 1.1115334786208677849641e-09
relative error = 1.8406158564526532683514583441573e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.574
Order of pole = 0.325
x[1] = 0.768
y[1] (analytic) = -6.0376311778316475925888637493371
y[1] (numeric) = -6.0376311767190746339231940956287
absolute error = 1.1125729586656696537084e-09
relative error = 1.8427309086893225132627931015176e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.574
Order of pole = 0.325
x[1] = 0.769
y[1] (analytic) = -6.0363408959269442027493498351879
y[1] (numeric) = -6.0363408948133312949033554544266
absolute error = 1.1136129078459943807613e-09
relative error = 1.8448476105738347320484778136923e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.573
Order of pole = 0.3251
x[1] = 0.77
y[1] (analytic) = -6.0350507180914791941863806762231
y[1] (numeric) = -6.0350507169768258679091656597082
absolute error = 1.1146533262772150165149e-09
relative error = 1.8469659632449821620772792720179e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=537.8MB, alloc=4.6MB, time=59.79
Complex estimate of poles used
Radius of convergence = 9.573
Order of pole = 0.3251
x[1] = 0.771
y[1] (analytic) = -6.0337606443283742444503096929259
y[1] (numeric) = -6.0337606432126800303755351214058
absolute error = 1.1156942140747745715201e-09
relative error = 1.8490859678424713971114991431054e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.573
Order of pole = 0.3251
x[1] = 0.772
y[1] (analytic) = -6.0324706746407524393384098253969
y[1] (numeric) = -6.0324706735240168679842237700188
absolute error = 1.1167355713541860553781e-09
relative error = 1.8512076255069242218110736304535e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.573
Order of pole = 0.3251
x[1] = 0.773
y[1] (analytic) = -6.0311808090317382732415046522266
y[1] (numeric) = -6.0311808079139608750104721365596
absolute error = 1.1177773982310325156670e-09
relative error = 1.8533309373798784471116497528380e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.572
Order of pole = 0.3251
x[1] = 0.774
y[1] (analytic) = -6.0298910475044576494908096767983
y[1] (numeric) = -6.0298910463856379546698425999025
absolute error = 1.1188196948209670768958e-09
relative error = 1.8554559046037887464648461565501e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.572
Order of pole = 0.3251
x[1] = 0.775
y[1] (analytic) = -6.0286013900620378807049838979405
y[1] (numeric) = -6.0286013889421754194652709184479
absolute error = 1.1198624612397129794926e-09
relative error = 1.8575825283220274929529377435705e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.572
Order of pole = 0.3252
x[1] = 0.776
y[1] (analytic) = -6.027311836707607689137391781935
y[1] (numeric) = -6.0273118355867019915343281631095
absolute error = 1.1209056976030636188255e-09
relative error = 1.8597108096788855972764532351616e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.571
Order of pole = 0.3252
x[1] = 0.777
y[1] (analytic) = -6.0260223874442972070235757529827
y[1] (numeric) = -6.0260223863223478029966931687297
absolute error = 1.1219494040268825842530e-09
relative error = 1.8618407498195733466103506380084e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.571
Order of pole = 0.3252
x[1] = 0.778
y[1] (analytic) = -6.0247330422752379769289393193303
y[1] (numeric) = -6.0247330411522443963018356211211
absolute error = 1.1229935806271036982092e-09
relative error = 1.8639723498902212443385361997519e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.571
Order of pole = 0.3252
x[1] = 0.779
y[1] (analytic) = -6.0234438012035629520966409523486
y[1] (numeric) = -6.0234438000795247245769098970308
absolute error = 1.1240382275197310553178e-09
relative error = 1.8661056110378808506577486646633e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.571
Order of pole = 0.3252
x[1] = 0.78
y[1] (analytic) = -6.0221546642324064967956988359584
y[1] (numeric) = -6.0221546631073231519748597744182
absolute error = 1.1250833448208390615402e-09
relative error = 1.8682405344105256240605788426282e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.57
Order of pole = 0.3252
x[1] = 0.781
y[1] (analytic) = -6.0208656313649043866693066038899
y[1] (numeric) = -6.0208656302387754540227341305336
absolute error = 1.1261289326465724733563e-09
relative error = 1.8703771211570517636962828040969e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=541.7MB, alloc=4.6MB, time=60.21
Complex estimate of poles used
Radius of convergence = 9.57
Order of pole = 0.3253
x[1] = 0.782
y[1] (analytic) = -6.019576702604193809083360182356
y[1] (numeric) = -6.0195767014770188179702137453816
absolute error = 1.1271749911131464369744e-09
relative error = 1.8725153724272790526043895022689e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.57
Order of pole = 0.3253
x[1] = 0.783
y[1] (analytic) = -6.0182878779534133634751958558227
y[1] (numeric) = -6.0182878768251918431383493282475
absolute error = 1.1282215203368465275752e-09
relative error = 1.8746552893719517018303843668857e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.57
Order of pole = 0.3253
x[1] = 0.784
y[1] (analytic) = -6.0169991574157030617025396736538
y[1] (numeric) = -6.0169991562864345412685108850644
absolute error = 1.1292685204340287885894e-09
relative error = 1.8767968731427391954236250799205e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.569
Order of pole = 0.3253
x[1] = 0.785
y[1] (analytic) = -6.0157105409942043283926683154946
y[1] (numeric) = -6.0157105398638883368715485444912
absolute error = 1.1303159915211197710034e-09
relative error = 1.8789401248922371363093339680074e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.569
Order of pole = 0.3253
x[1] = 0.786
y[1] (analytic) = -6.0144220286920600012917815333715
y[1] (numeric) = -6.0144220275606960675771649606715
absolute error = 1.1313639337146165727000e-09
relative error = 1.8810850457739680930471141052913e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.569
Order of pole = 0.3253
x[1] = 0.787
y[1] (analytic) = -6.0131336205124143316145862885698
y[1] (numeric) = -6.0131336193800019844834994107377
absolute error = 1.1324123471310868778321e-09
relative error = 1.8832316369423824474736561517431e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.568
Order of pole = 0.3254
x[1] = 0.788
y[1] (analytic) = -6.0118453164584129843940927014468
y[1] (numeric) = -6.0118453153249517525069237052219
absolute error = 1.1334612318871689962249e-09
relative error = 1.8853798995528592432231400197779e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.568
Order of pole = 0.3254
x[1] = 0.789
y[1] (analytic) = -6.0105571165332030388316219324463
y[1] (numeric) = -6.0105571153986924507320500296322
absolute error = 1.1345105880995719028141e-09
relative error = 1.8875298347617070351387887209062e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.568
Order of pole = 0.3254
x[1] = 0.79
y[1] (analytic) = -6.0092690207399329886470261126639
y[1] (numeric) = -6.0092690196043725727619508355492
absolute error = 1.1355604158850752771147e-09
relative error = 1.8896814437261647395675875119607e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.568
Order of pole = 0.3254
x[1] = 0.791
y[1] (analytic) = -6.0079810290817527424291204424168
y[1] (numeric) = -6.0079810279451420270685908996948
absolute error = 1.1366107153605295427220e-09
relative error = 1.8918347276044024855418184527437e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.567
Order of pole = 0.3254
x[1] = 0.792
y[1] (analytic) = -6.0066931415618136239863275763668
y[1] (numeric) = -6.0066931404241521373434716695215
absolute error = 1.1376614866428559068453e-09
relative error = 1.8939896875555224668492349825951e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
memory used=545.5MB, alloc=4.6MB, time=60.62
Complex estimate of poles used
Radius of convergence = 9.567
Order of pole = 0.3254
x[1] = 0.793
y[1] (analytic) = -6.0054053581832683726975344138423
y[1] (numeric) = -6.0054053570445556428484880139688
absolute error = 1.1387127298490463998735e-09
relative error = 1.8961463247395597949915390602662e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.567
Order of pole = 0.3255
x[1] = 0.794
y[1] (analytic) = -6.0041176789492711438631614131034
y[1] (numeric) = -6.0041176778095066987669974981289
absolute error = 1.1397644450961639149745e-09
relative error = 1.8983046403174833530353192685614e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.566
Order of pole = 0.3255
x[1] = 0.795
y[1] (analytic) = -6.0028301038629775090564445483862
y[1] (numeric) = -6.002830102722160876555102300662
absolute error = 1.1408166325013422477242e-09
relative error = 1.9004646354511966503494530695600e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.566
Order of pole = 0.3255
x[1] = 0.796
y[1] (analytic) = -6.0015426329275444564749300286693
y[1] (numeric) = -6.0015426317856751642931438928985
absolute error = 1.1418692921817861357708e-09
relative error = 1.9026263113035386782394613834084e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.566
Order of pole = 0.3255
x[1] = 0.797
y[1] (analytic) = -6.0002552661461303912921818971935
y[1] (numeric) = -6.0002552650032079670374105986625
absolute error = 1.1429224242547712985310e-09
relative error = 1.9047896690382847664741551670265e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.566
Order of pole = 0.3255
x[1] = 0.798
y[1] (analytic) = -5.9989680035218951360097026308654
y[1] (numeric) = -5.9989680023779191071720581539492
absolute error = 1.1439760288376444769162e-09
relative error = 1.9069547098201474407024056164595e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.565
Order of pole = 0.3255
x[1] = 0.799
y[1] (analytic) = -5.9976808450579999308090668587799
y[1] (numeric) = -5.9976808439129698247612433856848
absolute error = 1.1450301060478234730951e-09
relative error = 1.9091214348147772807717040956444e-08 %
Correct digits = 9
h = 0.001
TOP MAIN SOLVE Loop
WARNING: arccos of linear function has low precision in testing.
Complex estimate of poles used
Radius of convergence = 9.565
Order of pole = 0.3256
x[1] = 0.8
y[1] (analytic) = -5.9963937907576074339042683191831
y[1] (numeric) = -5.9963937896115227779014711288974
absolute error = 1.1460846560027971902857e-09
relative error = 1.9112898451887637799378506821610e-08 %
Correct digits = 9
h = 0.001
Finished!
diff ( y , x , 1 ) = arccos(0.1 * x + 0.2) ;
Iterations = 1600
Total Elapsed Time = 1 Minutes 0 Seconds
Elapsed Time(since restart) = 1 Minutes 0 Seconds
Time to Timeout = 1 Minutes 59 Seconds
Percent Done = 100.1 %
> quit
memory used=548.0MB, alloc=4.6MB, time=60.88