|\^/| Maple 12 (IBM INTEL LINUX)
._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008
\ MAPLE / All rights reserved. Maple is a trademark of
<____ ____> Waterloo Maple Inc.
| Type ? for help.
> #BEGIN OUTFILE1
> # Begin Function number 3
> 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_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_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> 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_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_3,
> array_const_0D0,
> array_const_1,
> #END CONST
> array_y2_init,
> array_y1_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y2,
> array_x,
> array_y1,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y2_higher,
> array_y2_higher_work,
> array_y2_higher_work2,
> array_y2_set_initial,
> array_y1_higher,
> array_y1_higher_work,
> array_y1_higher_work2,
> array_y1_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_y2[1]) < min_size) then # if number 1
> min_size := omniabs(array_y2[1]);
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 1;
> if (omniabs(array_y1[1]) < min_size) then # if number 1
> min_size := omniabs(array_y1[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_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_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, 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_max_minutes, array_const_3,
array_const_0D0, array_const_1, array_y2_init, array_y1_init, array_norms,
array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error,
array_type_pole, array_y2, array_x, array_y1, array_tmp0, array_tmp1_g,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1,
array_y2_higher, array_y2_higher_work, array_y2_higher_work2,
array_y2_set_initial, array_y1_higher, array_y1_higher_work,
array_y1_higher_work2, array_y1_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
min_size := glob_large_float;
if omniabs(array_y2[1]) < min_size then
min_size := omniabs(array_y2[1]);
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
if omniabs(array_y1[1]) < min_size then
min_size := omniabs(array_y1[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_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_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> 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_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_3,
> array_const_0D0,
> array_const_1,
> #END CONST
> array_y2_init,
> array_y1_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y2,
> array_x,
> array_y1,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y2_higher,
> array_y2_higher_work,
> array_y2_higher_work2,
> array_y2_set_initial,
> array_y1_higher,
> array_y1_higher_work,
> array_y1_higher_work2,
> array_y1_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_y2[no_terms-3] + array_y2[no_terms - 2] * hn_div_ho + array_y2[no_terms - 1] * hn_div_ho_2 + array_y2[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;
> value3 := omniabs(array_y1[no_terms-3] + array_y1[no_terms - 2] * hn_div_ho + array_y1[no_terms - 1] * hn_div_ho_2 + array_y1[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_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_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, 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_max_minutes, array_const_3,
array_const_0D0, array_const_1, array_y2_init, array_y1_init, array_norms,
array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error,
array_type_pole, array_y2, array_x, array_y1, array_tmp0, array_tmp1_g,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1,
array_y2_higher, array_y2_higher_work, array_y2_higher_work2,
array_y2_set_initial, array_y1_higher, array_y1_higher_work,
array_y1_higher_work2, array_y1_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_y2[no_terms - 3]
+ array_y2[no_terms - 2]*hn_div_ho
+ array_y2[no_terms - 1]*hn_div_ho_2
+ array_y2[no_terms]*hn_div_ho_3);
if max_value3 < value3 then
max_value3 := value3;
omniout_float(ALWAYS, "value3", 32, value3, 32, "")
end if;
value3 := omniabs(array_y1[no_terms - 3]
+ array_y1[no_terms - 2]*hn_div_ho
+ array_y1[no_terms - 1]*hn_div_ho_2
+ array_y1[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_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_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> 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_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_3,
> array_const_0D0,
> array_const_1,
> #END CONST
> array_y2_init,
> array_y1_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y2,
> array_x,
> array_y1,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y2_higher,
> array_y2_higher_work,
> array_y2_higher_work2,
> array_y2_set_initial,
> array_y1_higher,
> array_y1_higher_work,
> array_y1_higher_work2,
> array_y1_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_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_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, 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_max_minutes, array_const_3,
array_const_0D0, array_const_1, array_y2_init, array_y1_init, array_norms,
array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error,
array_type_pole, array_y2, array_x, array_y1, array_tmp0, array_tmp1_g,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1,
array_y2_higher, array_y2_higher_work, array_y2_higher_work2,
array_y2_set_initial, array_y1_higher, array_y1_higher_work,
array_y1_higher_work2, array_y1_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_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_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> 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_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_3,
> array_const_0D0,
> array_const_1,
> #END CONST
> array_y2_init,
> array_y1_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y2,
> array_x,
> array_y1,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y2_higher,
> array_y2_higher_work,
> array_y2_higher_work2,
> array_y2_set_initial,
> array_y1_higher,
> array_y1_higher_work,
> array_y1_higher_work2,
> array_y1_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_y2(ind_var);
> omniout_float(ALWAYS,"y2[1] (analytic) ",33,analytic_val_y,20," ");
> term_no := 1;
> numeric_val := array_y2[term_no];
> abserr := omniabs(numeric_val - analytic_val_y);
> omniout_float(ALWAYS,"y2[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 > 0.0000000000000000000000000000000001) 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," ");
> ;
> analytic_val_y := exact_soln_y1(ind_var);
> omniout_float(ALWAYS,"y1[1] (analytic) ",33,analytic_val_y,20," ");
> term_no := 1;
> numeric_val := array_y1[term_no];
> abserr := omniabs(numeric_val - analytic_val_y);
> omniout_float(ALWAYS,"y1[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 > 0.0000000000000000000000000000000001) 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[2] := relerr;
> else
> array_last_rel_error[2] := 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_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_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, 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_max_minutes, array_const_3,
array_const_0D0, array_const_1, array_y2_init, array_y1_init, array_norms,
array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error,
array_type_pole, array_y2, array_x, array_y1, array_tmp0, array_tmp1_g,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1,
array_y2_higher, array_y2_higher_work, array_y2_higher_work2,
array_y2_set_initial, array_y1_higher, array_y1_higher_work,
array_y1_higher_work2, array_y1_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_y2(ind_var);
omniout_float(ALWAYS, "y2[1] (analytic) ", 33,
analytic_val_y, 20, " ");
term_no := 1;
numeric_val := array_y2[term_no];
abserr := omniabs(numeric_val - analytic_val_y);
omniout_float(ALWAYS, "y2[1] (numeric) ", 33,
numeric_val, 20, " ");
if omniabs(analytic_val_y) <> 0. then
relerr := abserr*100.0/omniabs(analytic_val_y);
if 0.1*10^(-33) < relerr 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, " ");
analytic_val_y := exact_soln_y1(ind_var);
omniout_float(ALWAYS, "y1[1] (analytic) ", 33,
analytic_val_y, 20, " ");
term_no := 1;
numeric_val := array_y1[term_no];
abserr := omniabs(numeric_val - analytic_val_y);
omniout_float(ALWAYS, "y1[1] (numeric) ", 33,
numeric_val, 20, " ");
if omniabs(analytic_val_y) <> 0. then
relerr := abserr*100.0/omniabs(analytic_val_y);
if 0.1*10^(-33) < relerr 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[2] := relerr
else array_last_rel_error[2] := 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_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_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> 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_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_3,
> array_const_0D0,
> array_const_1,
> #END CONST
> array_y2_init,
> array_y1_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y2,
> array_x,
> array_y1,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y2_higher,
> array_y2_higher_work,
> array_y2_higher_work2,
> array_y2_set_initial,
> array_y1_higher,
> array_y1_higher_work,
> array_y1_higher_work2,
> array_y1_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_y2_higher[1,1]) > glob_small_float) then # if number 1
> tmp := omniabs(array_y2_higher[1,1]);
> if (tmp < glob_normmax) then # if number 2
> glob_normmax := tmp;
> fi;# end if 2
> fi;# end if 1;
> if (omniabs(array_y1_higher[1,1]) > glob_small_float) then # if number 1
> tmp := omniabs(array_y1_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_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_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, 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_max_minutes, array_const_3,
array_const_0D0, array_const_1, array_y2_init, array_y1_init, array_norms,
array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error,
array_type_pole, array_y2, array_x, array_y1, array_tmp0, array_tmp1_g,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1,
array_y2_higher, array_y2_higher_work, array_y2_higher_work2,
array_y2_set_initial, array_y1_higher, array_y1_higher_work,
array_y1_higher_work2, array_y1_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_y2_higher[1, 1]) then
tmp := omniabs(array_y2_higher[1, 1]);
if tmp < glob_normmax then glob_normmax := tmp end if
end if;
if glob_small_float < omniabs(array_y1_higher[1, 1]) then
tmp := omniabs(array_y1_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_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_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> 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_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_3,
> array_const_0D0,
> array_const_1,
> #END CONST
> array_y2_init,
> array_y1_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y2,
> array_x,
> array_y1,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y2_higher,
> array_y2_higher_work,
> array_y2_higher_work2,
> array_y2_set_initial,
> array_y1_higher,
> array_y1_higher_work,
> array_y1_higher_work2,
> array_y1_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_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_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, 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_max_minutes, array_const_3,
array_const_0D0, array_const_1, array_y2_init, array_y1_init, array_norms,
array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error,
array_type_pole, array_y2, array_x, array_y1, array_tmp0, array_tmp1_g,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1,
array_y2_higher, array_y2_higher_work, array_y2_higher_work2,
array_y2_set_initial, array_y1_higher, array_y1_higher_work,
array_y1_higher_work2, array_y1_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_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_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> 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_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_3,
> array_const_0D0,
> array_const_1,
> #END CONST
> array_y2_init,
> array_y1_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y2,
> array_x,
> array_y1,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y2_higher,
> array_y2_higher_work,
> array_y2_higher_work2,
> array_y2_set_initial,
> array_y1_higher,
> array_y1_higher_work,
> array_y1_higher_work2,
> array_y1_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local cnt, dr1, dr2, ds1, ds2, hdrc,hdrc_BBB, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, 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 - 3 - 1;
> while ((m >= 10) and ((omniabs(array_y2_higher[1,m]) < glob_small_float * glob_small_float) or (omniabs(array_y2_higher[1,m-1]) < glob_small_float * glob_small_float) or (omniabs(array_y2_higher[1,m-2]) < glob_small_float * glob_small_float ))) do # do number 2
> m := m - 1;
> od;# end do number 2;
> if (m > 10) then # if number 1
> rm0 := array_y2_higher[1,m]/array_y2_higher[1,m-1];
> rm1 := array_y2_higher[1,m-1]/array_y2_higher[1,m-2];
> hdrc := convfloat(m)*rm0-convfloat(m-1)*rm1;
> if (omniabs(hdrc) > glob_small_float * glob_small_float) then # if number 2
> rcs := glob_h/hdrc;
> ord_no := (rm1*convfloat((m-2)*(m-2))-rm0*convfloat(m-3))/hdrc;
> 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
> #IN RADII REAL EQ = 2
> #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 2
> #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_y1_higher[1,m]) < glob_small_float * glob_small_float) or (omniabs(array_y1_higher[1,m-1]) < glob_small_float * glob_small_float) or (omniabs(array_y1_higher[1,m-2]) < glob_small_float * glob_small_float ))) do # do number 2
> m := m - 1;
> od;# end do number 2;
> if (m > 10) then # if number 1
> rm0 := array_y1_higher[1,m]/array_y1_higher[1,m-1];
> rm1 := array_y1_higher[1,m-1]/array_y1_higher[1,m-2];
> hdrc := convfloat(m)*rm0-convfloat(m-1)*rm1;
> if (omniabs(hdrc) > glob_small_float * glob_small_float) then # if number 2
> rcs := glob_h/hdrc;
> ord_no := (rm1*convfloat((m-2)*(m-2))-rm0*convfloat(m-3))/hdrc;
> array_real_pole[2,1] := rcs;
> array_real_pole[2,2] := ord_no;
> else
> array_real_pole[2,1] := glob_large_float;
> array_real_pole[2,2] := glob_large_float;
> fi;# end if 2
> else
> array_real_pole[2,1] := glob_large_float;
> array_real_pole[2,2] := glob_large_float;
> fi;# end if 1;
> #BOTTOM RADII REAL EQ = 2
> #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 - 3 - 1;
> cnt := 0;
> while ((cnt < 5) and (n >= 10)) do # do number 2
> if (omniabs(array_y2_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
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> elif
> (((omniabs(array_y2_higher[1,m]) >= (glob_large_float)) or (omniabs(array_y2_higher[1,m-1]) >=(glob_large_float)) or (omniabs(array_y2_higher[1,m-2]) >= (glob_large_float)) or (omniabs(array_y2_higher[1,m-3]) >= (glob_large_float)) or (omniabs(array_y2_higher[1,m-4]) >= (glob_large_float)) or (omniabs(array_y2_higher[1,m-5]) >= (glob_large_float))) or ((omniabs(array_y2_higher[1,m]) <= (glob_small_float)) or (omniabs(array_y2_higher[1,m-1]) <=(glob_small_float)) or (omniabs(array_y2_higher[1,m-2]) <= (glob_small_float)) or (omniabs(array_y2_higher[1,m-3]) <= (glob_small_float)) or (omniabs(array_y2_higher[1,m-4]) <= (glob_small_float)) or (omniabs(array_y2_higher[1,m-5]) <= (glob_small_float)))) then # if number 2
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> rm0 := (array_y2_higher[1,m])/(array_y2_higher[1,m-1]);
> rm1 := (array_y2_higher[1,m-1])/(array_y2_higher[1,m-2]);
> rm2 := (array_y2_higher[1,m-2])/(array_y2_higher[1,m-3]);
> rm3 := (array_y2_higher[1,m-3])/(array_y2_higher[1,m-4]);
> rm4 := (array_y2_higher[1,m-4])/(array_y2_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
> rad_c := glob_large_float;
> ord_no := 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
> #TOP RADII COMPLEX EQ = 2
> #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_y1_higher[1,n]) > glob_small_float) then # if number 2
> cnt := cnt + 1;
> else
> cnt := 0;
> fi;# end if 2;
> n := n - 1;
> od;# end do number 2;
> m := n + cnt;
> if (m <= 10) then # if number 2
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> elif
> (((omniabs(array_y1_higher[1,m]) >= (glob_large_float)) or (omniabs(array_y1_higher[1,m-1]) >=(glob_large_float)) or (omniabs(array_y1_higher[1,m-2]) >= (glob_large_float)) or (omniabs(array_y1_higher[1,m-3]) >= (glob_large_float)) or (omniabs(array_y1_higher[1,m-4]) >= (glob_large_float)) or (omniabs(array_y1_higher[1,m-5]) >= (glob_large_float))) or ((omniabs(array_y1_higher[1,m]) <= (glob_small_float)) or (omniabs(array_y1_higher[1,m-1]) <=(glob_small_float)) or (omniabs(array_y1_higher[1,m-2]) <= (glob_small_float)) or (omniabs(array_y1_higher[1,m-3]) <= (glob_small_float)) or (omniabs(array_y1_higher[1,m-4]) <= (glob_small_float)) or (omniabs(array_y1_higher[1,m-5]) <= (glob_small_float)))) then # if number 3
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> rm0 := (array_y1_higher[1,m])/(array_y1_higher[1,m-1]);
> rm1 := (array_y1_higher[1,m-1])/(array_y1_higher[1,m-2]);
> rm2 := (array_y1_higher[1,m-2])/(array_y1_higher[1,m-3]);
> rm3 := (array_y1_higher[1,m-3])/(array_y1_higher[1,m-4]);
> rm4 := (array_y1_higher[1,m-4])/(array_y1_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 4
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> if (omniabs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 5
> 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 6
> if (rcs > 0.0) then # if number 7
> rad_c := sqrt(rcs) * omniabs(glob_h);
> else
> rad_c := glob_large_float;
> fi;# end if 7
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 6
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 5
> fi;# end if 4;
> array_complex_pole[2,1] := rad_c;
> array_complex_pole[2,2] := ord_no;
> fi;# end if 3;
> #BOTTOM RADII COMPLEX EQ = 2
> found_sing := 0;
> #TOP WHICH RADII EQ = 1
> if (1 <> found_sing 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 3
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> found_sing := 1;
> array_type_pole[1] := 2;
> if (glob_display_flag) then # if number 4
> if (reached_interval()) then # if number 5
> omniout_str(ALWAYS,"Complex estimate of poles used for equation 1");
> fi;# end if 5;
> fi;# end if 4;
> fi;# end if 3;
> if (1 <> found_sing 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] > -1.0 * glob_smallish_float) 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 3
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found_sing := 1;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 4
> if (reached_interval()) then # if number 5
> omniout_str(ALWAYS,"Real estimate of pole used for equation 1");
> fi;# end if 5;
> fi;# end if 4;
> fi;# end if 3;
> if (1 <> found_sing 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 3
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> found_sing := 1;
> array_type_pole[1] := 3;
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"NO POLE for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> if (1 <> found_sing 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] > -1.0 * glob_smallish_float))) then # if number 3
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found_sing := 1;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 4
> if (reached_interval()) then # if number 5
> omniout_str(ALWAYS,"Real estimate of pole used for equation 1");
> fi;# end if 5;
> fi;# end if 4;
> fi;# end if 3;
> if (1 <> found_sing 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 3
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> array_type_pole[1] := 2;
> found_sing := 1;
> if (glob_display_flag) then # if number 4
> if (reached_interval()) then # if number 5
> omniout_str(ALWAYS,"Complex estimate of poles used for equation 1");
> fi;# end if 5;
> fi;# end if 4;
> fi;# end if 3;
> if (1 <> found_sing ) then # if number 3
> 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 4
> omniout_str(ALWAYS,"NO POLE for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> #BOTTOM WHICH RADII EQ = 1
> #TOP WHICH RADII EQ = 2
> if (2 <> found_sing and ((array_real_pole[2,1] = glob_large_float) or (array_real_pole[2,2] = glob_large_float)) and ((array_complex_pole[2,1] <> glob_large_float) and (array_complex_pole[2,2] <> glob_large_float)) and ((array_complex_pole[2,1] > 0.0) and (array_complex_pole[2,2] > 0.0))) then # if number 3
> array_poles[2,1] := array_complex_pole[2,1];
> array_poles[2,2] := array_complex_pole[2,2];
> found_sing := 2;
> array_type_pole[2] := 2;
> if (glob_display_flag) then # if number 4
> if (reached_interval()) then # if number 5
> omniout_str(ALWAYS,"Complex estimate of poles used for equation 2");
> fi;# end if 5;
> fi;# end if 4;
> fi;# end if 3;
> if (2 <> found_sing and ((array_real_pole[2,1] <> glob_large_float) and (array_real_pole[2,2] <> glob_large_float) and (array_real_pole[2,1] > 0.0) and (array_real_pole[2,2] > -1.0 * glob_smallish_float) and ((array_complex_pole[2,1] = glob_large_float) or (array_complex_pole[2,2] = glob_large_float) or (array_complex_pole[2,1] <= 0.0 ) or (array_complex_pole[2,2] <= 0.0)))) then # if number 3
> array_poles[2,1] := array_real_pole[2,1];
> array_poles[2,2] := array_real_pole[2,2];
> found_sing := 2;
> array_type_pole[2] := 1;
> if (glob_display_flag) then # if number 4
> if (reached_interval()) then # if number 5
> omniout_str(ALWAYS,"Real estimate of pole used for equation 2");
> fi;# end if 5;
> fi;# end if 4;
> fi;# end if 3;
> if (2 <> found_sing and (((array_real_pole[2,1] = glob_large_float) or (array_real_pole[2,2] = glob_large_float)) and ((array_complex_pole[2,1] = glob_large_float) or (array_complex_pole[2,2] = glob_large_float)))) then # if number 3
> array_poles[2,1] := glob_large_float;
> array_poles[2,2] := glob_large_float;
> found_sing := 2;
> array_type_pole[2] := 3;
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"NO POLE for equation 2");
> fi;# end if 4;
> fi;# end if 3;
> if (2 <> found_sing and ((array_real_pole[2,1] < array_complex_pole[2,1]) and (array_real_pole[2,1] > 0.0) and (array_real_pole[2,2] > -1.0 * glob_smallish_float))) then # if number 3
> array_poles[2,1] := array_real_pole[2,1];
> array_poles[2,2] := array_real_pole[2,2];
> found_sing := 2;
> array_type_pole[2] := 1;
> if (glob_display_flag) then # if number 4
> if (reached_interval()) then # if number 5
> omniout_str(ALWAYS,"Real estimate of pole used for equation 2");
> fi;# end if 5;
> fi;# end if 4;
> fi;# end if 3;
> if (2 <> found_sing and ((array_complex_pole[2,1] <> glob_large_float) and (array_complex_pole[2,2] <> glob_large_float) and (array_complex_pole[2,1] > 0.0) and (array_complex_pole[2,2] > 0.0))) then # if number 3
> array_poles[2,1] := array_complex_pole[2,1];
> array_poles[2,2] := array_complex_pole[2,2];
> array_type_pole[2] := 2;
> found_sing := 2;
> if (glob_display_flag) then # if number 4
> if (reached_interval()) then # if number 5
> omniout_str(ALWAYS,"Complex estimate of poles used for equation 2");
> fi;# end if 5;
> fi;# end if 4;
> fi;# end if 3;
> if (2 <> found_sing ) then # if number 3
> array_poles[2,1] := glob_large_float;
> array_poles[2,2] := glob_large_float;
> array_type_pole[2] := 3;
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"NO POLE for equation 2");
> fi;# end if 4;
> fi;# end if 3;
> #BOTTOM WHICH RADII EQ = 2
> 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 3
> array_pole[1] := array_poles[1,1];
> array_pole[2] := array_poles[1,2];
> fi;# end if 3;
> #BOTTOM WHICH RADIUS EQ = 1
> #TOP WHICH RADIUS EQ = 2
> if (array_pole[1] > array_poles[2,1]) then # if number 3
> array_pole[1] := array_poles[2,1];
> array_pole[2] := array_poles[2,2];
> fi;# end if 3;
> #BOTTOM WHICH RADIUS EQ = 2
> #START ADJUST ALL SERIES
> if (array_pole[1] * glob_ratio_of_radius < omniabs(glob_h)) then # if number 3
> h_new := array_pole[1] * glob_ratio_of_radius;
> term := 1;
> ratio := 1.0;
> while (term <= glob_max_terms) do # do number 2
> array_y2[term] := array_y2[term]* ratio;
> array_y2_higher[1,term] := array_y2_higher[1,term]* ratio;
> array_x[term] := array_x[term]* ratio;
> array_y1[term] := array_y1[term]* ratio;
> array_y1_higher[1,term] := array_y1_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 3;
> #BOTTOM ADJUST ALL SERIES
> if (reached_interval()) then # if number 3
> display_pole();
> fi;# end if 3
> end;
check_for_pole := proc()
local cnt, dr1, dr2, ds1, ds2, hdrc, hdrc_BBB, m, n, nr1, nr2, ord_no,
rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, 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_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_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, 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_max_minutes, array_const_3,
array_const_0D0, array_const_1, array_y2_init, array_y1_init, array_norms,
array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error,
array_type_pole, array_y2, array_x, array_y1, array_tmp0, array_tmp1_g,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1,
array_y2_higher, array_y2_higher_work, array_y2_higher_work2,
array_y2_set_initial, array_y1_higher, array_y1_higher_work,
array_y1_higher_work2, array_y1_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
n := glob_max_terms;
m := n - 4;
while 10 <= m and (
omniabs(array_y2_higher[1, m]) < glob_small_float*glob_small_float or
omniabs(array_y2_higher[1, m - 1]) < glob_small_float*glob_small_float
or
omniabs(array_y2_higher[1, m - 2]) < glob_small_float*glob_small_float)
do m := m - 1
end do;
if 10 < m then
rm0 := array_y2_higher[1, m]/array_y2_higher[1, m - 1];
rm1 := array_y2_higher[1, m - 1]/array_y2_higher[1, m - 2];
hdrc := convfloat(m)*rm0 - convfloat(m - 1)*rm1;
if glob_small_float*glob_small_float < omniabs(hdrc) then
rcs := glob_h/hdrc;
ord_no := (
rm1*convfloat((m - 2)*(m - 2)) - rm0*convfloat(m - 3))/hdrc
;
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;
m := n - 2;
while 10 <= m and (
omniabs(array_y1_higher[1, m]) < glob_small_float*glob_small_float or
omniabs(array_y1_higher[1, m - 1]) < glob_small_float*glob_small_float
or
omniabs(array_y1_higher[1, m - 2]) < glob_small_float*glob_small_float)
do m := m - 1
end do;
if 10 < m then
rm0 := array_y1_higher[1, m]/array_y1_higher[1, m - 1];
rm1 := array_y1_higher[1, m - 1]/array_y1_higher[1, m - 2];
hdrc := convfloat(m)*rm0 - convfloat(m - 1)*rm1;
if glob_small_float*glob_small_float < omniabs(hdrc) then
rcs := glob_h/hdrc;
ord_no := (
rm1*convfloat((m - 2)*(m - 2)) - rm0*convfloat(m - 3))/hdrc
;
array_real_pole[2, 1] := rcs;
array_real_pole[2, 2] := ord_no
else
array_real_pole[2, 1] := glob_large_float;
array_real_pole[2, 2] := glob_large_float
end if
else
array_real_pole[2, 1] := glob_large_float;
array_real_pole[2, 2] := glob_large_float
end if;
n := glob_max_terms - 4;
cnt := 0;
while cnt < 5 and 10 <= n do
if glob_small_float < omniabs(array_y2_higher[1, n]) then
cnt := cnt + 1
else cnt := 0
end if;
n := n - 1
end do;
m := n + cnt;
if m <= 10 then rad_c := glob_large_float; ord_no := glob_large_float
elif glob_large_float <= omniabs(array_y2_higher[1, m]) or
glob_large_float <= omniabs(array_y2_higher[1, m - 1]) or
glob_large_float <= omniabs(array_y2_higher[1, m - 2]) or
glob_large_float <= omniabs(array_y2_higher[1, m - 3]) or
glob_large_float <= omniabs(array_y2_higher[1, m - 4]) or
glob_large_float <= omniabs(array_y2_higher[1, m - 5]) or
omniabs(array_y2_higher[1, m]) <= glob_small_float or
omniabs(array_y2_higher[1, m - 1]) <= glob_small_float or
omniabs(array_y2_higher[1, m - 2]) <= glob_small_float or
omniabs(array_y2_higher[1, m - 3]) <= glob_small_float or
omniabs(array_y2_higher[1, m - 4]) <= glob_small_float or
omniabs(array_y2_higher[1, m - 5]) <= glob_small_float then
rad_c := glob_large_float; ord_no := glob_large_float
else
rm0 := array_y2_higher[1, m]/array_y2_higher[1, m - 1];
rm1 := array_y2_higher[1, m - 1]/array_y2_higher[1, m - 2];
rm2 := array_y2_higher[1, m - 2]/array_y2_higher[1, m - 3];
rm3 := array_y2_higher[1, m - 3]/array_y2_higher[1, m - 4];
rm4 := array_y2_higher[1, m - 4]/array_y2_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
rad_c := glob_large_float; ord_no := 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;
n := glob_max_terms - 2;
cnt := 0;
while cnt < 5 and 10 <= n do
if glob_small_float < omniabs(array_y1_higher[1, n]) then
cnt := cnt + 1
else cnt := 0
end if;
n := n - 1
end do;
m := n + cnt;
if m <= 10 then rad_c := glob_large_float; ord_no := glob_large_float
elif glob_large_float <= omniabs(array_y1_higher[1, m]) or
glob_large_float <= omniabs(array_y1_higher[1, m - 1]) or
glob_large_float <= omniabs(array_y1_higher[1, m - 2]) or
glob_large_float <= omniabs(array_y1_higher[1, m - 3]) or
glob_large_float <= omniabs(array_y1_higher[1, m - 4]) or
glob_large_float <= omniabs(array_y1_higher[1, m - 5]) or
omniabs(array_y1_higher[1, m]) <= glob_small_float or
omniabs(array_y1_higher[1, m - 1]) <= glob_small_float or
omniabs(array_y1_higher[1, m - 2]) <= glob_small_float or
omniabs(array_y1_higher[1, m - 3]) <= glob_small_float or
omniabs(array_y1_higher[1, m - 4]) <= glob_small_float or
omniabs(array_y1_higher[1, m - 5]) <= glob_small_float then
rad_c := glob_large_float; ord_no := glob_large_float
else
rm0 := array_y1_higher[1, m]/array_y1_higher[1, m - 1];
rm1 := array_y1_higher[1, m - 1]/array_y1_higher[1, m - 2];
rm2 := array_y1_higher[1, m - 2]/array_y1_higher[1, m - 3];
rm3 := array_y1_higher[1, m - 3]/array_y1_higher[1, m - 4];
rm4 := array_y1_higher[1, m - 4]/array_y1_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
rad_c := glob_large_float; ord_no := 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[2, 1] := rad_c;
array_complex_pole[2, 2] := ord_no
end if;
found_sing := 0;
if 1 <> found_sing 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_sing := 1;
array_type_pole[1] := 2;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Complex estimate of poles used for equation 1")
end if
end if
end if;
if 1 <> found_sing 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
-1.0*glob_smallish_float < 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_sing := 1;
array_type_pole[1] := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Real estimate of pole used for equation 1")
end if
end if
end if;
if 1 <> found_sing 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_sing := 1;
array_type_pole[1] := 3;
if reached_interval() then
omniout_str(ALWAYS, "NO POLE for equation 1")
end if
end if;
if 1 <> found_sing and array_real_pole[1, 1] < array_complex_pole[1, 1]
and 0. < array_real_pole[1, 1] and
-1.0*glob_smallish_float < 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_sing := 1;
array_type_pole[1] := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Real estimate of pole used for equation 1")
end if
end if
end if;
if 1 <> found_sing 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_sing := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Complex estimate of poles used for equation 1")
end if
end if
end if;
if 1 <> found_sing 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 for equation 1")
end if
end if;
if 2 <> found_sing and (array_real_pole[2, 1] = glob_large_float or
array_real_pole[2, 2] = glob_large_float) and
array_complex_pole[2, 1] <> glob_large_float and
array_complex_pole[2, 2] <> glob_large_float and
0. < array_complex_pole[2, 1] and 0. < array_complex_pole[2, 2] then
array_poles[2, 1] := array_complex_pole[2, 1];
array_poles[2, 2] := array_complex_pole[2, 2];
found_sing := 2;
array_type_pole[2] := 2;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Complex estimate of poles used for equation 2")
end if
end if
end if;
if 2 <> found_sing and array_real_pole[2, 1] <> glob_large_float and
array_real_pole[2, 2] <> glob_large_float and
0. < array_real_pole[2, 1] and
-1.0*glob_smallish_float < array_real_pole[2, 2] and (
array_complex_pole[2, 1] = glob_large_float or
array_complex_pole[2, 2] = glob_large_float or
array_complex_pole[2, 1] <= 0. or array_complex_pole[2, 2] <= 0.) then
array_poles[2, 1] := array_real_pole[2, 1];
array_poles[2, 2] := array_real_pole[2, 2];
found_sing := 2;
array_type_pole[2] := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Real estimate of pole used for equation 2")
end if
end if
end if;
if 2 <> found_sing and (array_real_pole[2, 1] = glob_large_float or
array_real_pole[2, 2] = glob_large_float) and (
array_complex_pole[2, 1] = glob_large_float or
array_complex_pole[2, 2] = glob_large_float) then
array_poles[2, 1] := glob_large_float;
array_poles[2, 2] := glob_large_float;
found_sing := 2;
array_type_pole[2] := 3;
if reached_interval() then
omniout_str(ALWAYS, "NO POLE for equation 2")
end if
end if;
if 2 <> found_sing and array_real_pole[2, 1] < array_complex_pole[2, 1]
and 0. < array_real_pole[2, 1] and
-1.0*glob_smallish_float < array_real_pole[2, 2] then
array_poles[2, 1] := array_real_pole[2, 1];
array_poles[2, 2] := array_real_pole[2, 2];
found_sing := 2;
array_type_pole[2] := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Real estimate of pole used for equation 2")
end if
end if
end if;
if 2 <> found_sing and array_complex_pole[2, 1] <> glob_large_float
and array_complex_pole[2, 2] <> glob_large_float and
0. < array_complex_pole[2, 1] and 0. < array_complex_pole[2, 2] then
array_poles[2, 1] := array_complex_pole[2, 1];
array_poles[2, 2] := array_complex_pole[2, 2];
array_type_pole[2] := 2;
found_sing := 2;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Complex estimate of poles used for equation 2")
end if
end if
end if;
if 2 <> found_sing then
array_poles[2, 1] := glob_large_float;
array_poles[2, 2] := glob_large_float;
array_type_pole[2] := 3;
if reached_interval() then
omniout_str(ALWAYS, "NO POLE for equation 2")
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_poles[2, 1] < array_pole[1] then
array_pole[1] := array_poles[2, 1];
array_pole[2] := array_poles[2, 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_y2[term] := array_y2[term]*ratio;
array_y2_higher[1, term] := array_y2_higher[1, term]*ratio;
array_x[term] := array_x[term]*ratio;
array_y1[term] := array_y1[term]*ratio;
array_y1_higher[1, term] := array_y1_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_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_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> 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_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_3,
> array_const_0D0,
> array_const_1,
> #END CONST
> array_y2_init,
> array_y1_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y2,
> array_x,
> array_y1,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y2_higher,
> array_y2_higher_work,
> array_y2_higher_work2,
> array_y2_set_initial,
> array_y1_higher,
> array_y1_higher_work,
> array_y1_higher_work2,
> array_y1_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 3
> 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_y2[iii]) > array_norms[iii]) then # if number 4
> array_norms[iii] := omniabs(array_y2[iii]);
> fi;# end if 4;
> iii := iii + 1;
> od;# end do number 2
> ;
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> if (omniabs(array_y1[iii]) > array_norms[iii]) then # if number 4
> array_norms[iii] := omniabs(array_y1[iii]);
> fi;# end if 4;
> iii := iii + 1;
> od;# end do number 2
> #BOTTOM GET NORMS
> ;
> fi;# end if 3;
> 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_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_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, 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_max_minutes, array_const_3,
array_const_0D0, array_const_1, array_y2_init, array_y1_init, array_norms,
array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error,
array_type_pole, array_y2, array_x, array_y1, array_tmp0, array_tmp1_g,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1,
array_y2_higher, array_y2_higher_work, array_y2_higher_work2,
array_y2_set_initial, array_y1_higher, array_y1_higher_work,
array_y1_higher_work2, array_y1_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_y2[iii]) then
array_norms[iii] := omniabs(array_y2[iii])
end if;
iii := iii + 1
end do;
iii := 1;
while iii <= glob_max_terms do
if array_norms[iii] < omniabs(array_y1[iii]) then
array_norms[iii] := omniabs(array_y1[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_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_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> 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_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_3,
> array_const_0D0,
> array_const_1,
> #END CONST
> array_y2_init,
> array_y1_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y2,
> array_x,
> array_y1,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y2_higher,
> array_y2_higher_work,
> array_y2_higher_work2,
> array_y2_set_initial,
> array_y1_higher,
> array_y1_higher_work,
> array_y1_higher_work2,
> array_y1_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 cos 1 $eq_no = 1
> array_tmp1[1] := cos(array_x[1]);
> array_tmp1_g[1] := sin(array_x[1]);
> # emit pre mult FULL FULL $eq_no = 1 i = 1
> array_tmp2[1] := (array_m1[1] * (array_tmp1[1]));
> #emit pre add CONST FULL $eq_no = 1 i = 1
> array_tmp3[1] := array_const_0D0[1] + array_tmp2[1];
> #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5
> if ( not array_y2_set_initial[1,4]) then # if number 1
> if (1 <= glob_max_terms) then # if number 2
> temporary := array_tmp3[1] * expt(glob_h , (3)) * factorial_3(0,3);
> array_y2[4] := temporary;
> array_y2_higher[1,4] := temporary;
> temporary := temporary / glob_h * (3.0);
> array_y2_higher[2,3] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y2_higher[3,2] := temporary;
> temporary := temporary / glob_h * (1.0);
> array_y2_higher[4,1] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 2;
> # emit pre mult FULL FULL $eq_no = 2 i = 1
> array_tmp5[1] := (array_m1[1] * (array_y2[1]));
> #emit pre assign xxx $eq_no = 2 i = 1 $min_hdrs = 5
> if ( not array_y1_set_initial[2,2]) then # if number 1
> if (1 <= glob_max_terms) then # if number 2
> temporary := array_tmp5[1] * expt(glob_h , (1)) * factorial_3(0,1);
> array_y1[2] := temporary;
> array_y1_higher[1,2] := temporary;
> temporary := temporary / glob_h * (1.0);
> array_y1_higher[2,1] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 2;
> #END ATOMHDR1
> #BEGIN ATOMHDR2
> #emit pre cos ID_LINEAR iii = 2 $eq_no = 1
> array_tmp1[2] := -array_tmp1_g[1] * array_x[2] / 1;
> array_tmp1_g[2] := array_tmp1[1] * array_x[2] / 1;
> # emit pre mult FULL FULL $eq_no = 1 i = 2
> array_tmp2[2] := ats(2,array_m1,array_tmp1,1);
> #emit pre add CONST FULL $eq_no = 1 i = 2
> array_tmp3[2] := array_tmp2[2];
> #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5
> if ( not array_y2_set_initial[1,5]) then # if number 1
> if (2 <= glob_max_terms) then # if number 2
> temporary := array_tmp3[2] * expt(glob_h , (3)) * factorial_3(1,4);
> array_y2[5] := temporary;
> array_y2_higher[1,5] := temporary;
> temporary := temporary / glob_h * (4.0);
> array_y2_higher[2,4] := temporary;
> temporary := temporary / glob_h * (3.0);
> array_y2_higher[3,3] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y2_higher[4,2] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 3;
> # emit pre mult FULL FULL $eq_no = 2 i = 2
> array_tmp5[2] := ats(2,array_m1,array_y2,1);
> #emit pre assign xxx $eq_no = 2 i = 2 $min_hdrs = 5
> if ( not array_y1_set_initial[2,3]) then # if number 1
> if (2 <= glob_max_terms) then # if number 2
> temporary := array_tmp5[2] * expt(glob_h , (1)) * factorial_3(1,2);
> array_y1[3] := temporary;
> array_y1_higher[1,3] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y1_higher[2,2] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 3;
> #END ATOMHDR2
> #BEGIN ATOMHDR3
> #emit pre cos ID_LINEAR iii = 3 $eq_no = 1
> array_tmp1[3] := -array_tmp1_g[2] * array_x[2] / 2;
> array_tmp1_g[3] := array_tmp1[2] * array_x[2] / 2;
> # emit pre mult FULL FULL $eq_no = 1 i = 3
> array_tmp2[3] := ats(3,array_m1,array_tmp1,1);
> #emit pre add CONST FULL $eq_no = 1 i = 3
> array_tmp3[3] := array_tmp2[3];
> #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5
> if ( not array_y2_set_initial[1,6]) then # if number 1
> if (3 <= glob_max_terms) then # if number 2
> temporary := array_tmp3[3] * expt(glob_h , (3)) * factorial_3(2,5);
> array_y2[6] := temporary;
> array_y2_higher[1,6] := temporary;
> temporary := temporary / glob_h * (5.0);
> array_y2_higher[2,5] := temporary;
> temporary := temporary / glob_h * (4.0);
> array_y2_higher[3,4] := temporary;
> temporary := temporary / glob_h * (3.0);
> array_y2_higher[4,3] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 4;
> # emit pre mult FULL FULL $eq_no = 2 i = 3
> array_tmp5[3] := ats(3,array_m1,array_y2,1);
> #emit pre assign xxx $eq_no = 2 i = 3 $min_hdrs = 5
> if ( not array_y1_set_initial[2,4]) then # if number 1
> if (3 <= glob_max_terms) then # if number 2
> temporary := array_tmp5[3] * expt(glob_h , (1)) * factorial_3(2,3);
> array_y1[4] := temporary;
> array_y1_higher[1,4] := temporary;
> temporary := temporary / glob_h * (3.0);
> array_y1_higher[2,3] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 4;
> #END ATOMHDR3
> #BEGIN ATOMHDR4
> #emit pre cos ID_LINEAR iii = 4 $eq_no = 1
> array_tmp1[4] := -array_tmp1_g[3] * array_x[2] / 3;
> array_tmp1_g[4] := array_tmp1[3] * array_x[2] / 3;
> # emit pre mult FULL FULL $eq_no = 1 i = 4
> array_tmp2[4] := ats(4,array_m1,array_tmp1,1);
> #emit pre add CONST FULL $eq_no = 1 i = 4
> array_tmp3[4] := array_tmp2[4];
> #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5
> if ( not array_y2_set_initial[1,7]) then # if number 1
> if (4 <= glob_max_terms) then # if number 2
> temporary := array_tmp3[4] * expt(glob_h , (3)) * factorial_3(3,6);
> array_y2[7] := temporary;
> array_y2_higher[1,7] := temporary;
> temporary := temporary / glob_h * (6.0);
> array_y2_higher[2,6] := temporary;
> temporary := temporary / glob_h * (5.0);
> array_y2_higher[3,5] := temporary;
> temporary := temporary / glob_h * (4.0);
> array_y2_higher[4,4] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 5;
> # emit pre mult FULL FULL $eq_no = 2 i = 4
> array_tmp5[4] := ats(4,array_m1,array_y2,1);
> #emit pre assign xxx $eq_no = 2 i = 4 $min_hdrs = 5
> if ( not array_y1_set_initial[2,5]) then # if number 1
> if (4 <= glob_max_terms) then # if number 2
> temporary := array_tmp5[4] * expt(glob_h , (1)) * factorial_3(3,4);
> array_y1[5] := temporary;
> array_y1_higher[1,5] := temporary;
> temporary := temporary / glob_h * (4.0);
> array_y1_higher[2,4] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 5;
> #END ATOMHDR4
> #BEGIN ATOMHDR5
> #emit pre cos ID_LINEAR iii = 5 $eq_no = 1
> array_tmp1[5] := -array_tmp1_g[4] * array_x[2] / 4;
> array_tmp1_g[5] := array_tmp1[4] * array_x[2] / 4;
> # emit pre mult FULL FULL $eq_no = 1 i = 5
> array_tmp2[5] := ats(5,array_m1,array_tmp1,1);
> #emit pre add CONST FULL $eq_no = 1 i = 5
> array_tmp3[5] := array_tmp2[5];
> #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5
> if ( not array_y2_set_initial[1,8]) then # if number 1
> if (5 <= glob_max_terms) then # if number 2
> temporary := array_tmp3[5] * expt(glob_h , (3)) * factorial_3(4,7);
> array_y2[8] := temporary;
> array_y2_higher[1,8] := temporary;
> temporary := temporary / glob_h * (7.0);
> array_y2_higher[2,7] := temporary;
> temporary := temporary / glob_h * (6.0);
> array_y2_higher[3,6] := temporary;
> temporary := temporary / glob_h * (5.0);
> array_y2_higher[4,5] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 6;
> # emit pre mult FULL FULL $eq_no = 2 i = 5
> array_tmp5[5] := ats(5,array_m1,array_y2,1);
> #emit pre assign xxx $eq_no = 2 i = 5 $min_hdrs = 5
> if ( not array_y1_set_initial[2,6]) then # if number 1
> if (5 <= glob_max_terms) then # if number 2
> temporary := array_tmp5[5] * expt(glob_h , (1)) * factorial_3(4,5);
> array_y1[6] := temporary;
> array_y1_higher[1,6] := temporary;
> temporary := temporary / glob_h * (5.0);
> array_y1_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 cos LINEAR $eq_no = 1
> array_tmp1[kkk] := -array_tmp1_g[kkk - 1] * array_x[2] / (kkk - 1);
> array_tmp1_g[kkk] := array_tmp1[kkk - 1] * array_x[2] / (kkk - 1);
> #emit mult FULL FULL $eq_no = 1
> array_tmp2[kkk] := ats(kkk,array_m1,array_tmp1,1);
> #emit NOT FULL - FULL add $eq_no = 1
> array_tmp3[kkk] := array_tmp2[kkk];
> #emit assign $eq_no = 1
> order_d := 3;
> if (kkk + order_d + 1 <= glob_max_terms) then # if number 1
> if ( not array_y2_set_initial[1,kkk + order_d]) then # if number 2
> temporary := array_tmp3[kkk] * expt(glob_h , (order_d)) * factorial_3((kkk - 1),(kkk + order_d - 1));
> array_y2[kkk + order_d] := temporary;
> array_y2_higher[1,kkk + order_d] := temporary;
> term := kkk + order_d - 1;
> adj2 := kkk + order_d - 1;
> adj3 := 2;
> while (term >= 1) do # do number 2
> if (adj3 <= order_d + 1) then # if number 3
> if (adj2 > 0) then # if number 4
> temporary := temporary / glob_h * convfp(adj2);
> else
> temporary := temporary;
> fi;# end if 4;
> array_y2_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;
> #emit mult FULL FULL $eq_no = 2
> array_tmp5[kkk] := ats(kkk,array_m1,array_y2,1);
> #emit assign $eq_no = 2
> order_d := 1;
> if (kkk + order_d + 1 <= glob_max_terms) then # if number 1
> if ( not array_y1_set_initial[2,kkk + order_d]) then # if number 2
> temporary := array_tmp5[kkk] * expt(glob_h , (order_d)) * factorial_3((kkk - 1),(kkk + order_d - 1));
> array_y1[kkk + order_d] := temporary;
> array_y1_higher[1,kkk + order_d] := temporary;
> term := kkk + order_d - 1;
> adj2 := kkk + order_d - 1;
> adj3 := 2;
> while (term >= 1) do # do number 2
> if (adj3 <= order_d + 1) then # if number 3
> if (adj2 > 0) then # if number 4
> temporary := temporary / glob_h * convfp(adj2);
> else
> temporary := temporary;
> fi;# end if 4;
> array_y1_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_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_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, 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_max_minutes, array_const_3,
array_const_0D0, array_const_1, array_y2_init, array_y1_init, array_norms,
array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error,
array_type_pole, array_y2, array_x, array_y1, array_tmp0, array_tmp1_g,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1,
array_y2_higher, array_y2_higher_work, array_y2_higher_work2,
array_y2_set_initial, array_y1_higher, array_y1_higher_work,
array_y1_higher_work2, array_y1_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
array_tmp1[1] := cos(array_x[1]);
array_tmp1_g[1] := sin(array_x[1]);
array_tmp2[1] := array_m1[1]*array_tmp1[1];
array_tmp3[1] := array_const_0D0[1] + array_tmp2[1];
if not array_y2_set_initial[1, 4] then
if 1 <= glob_max_terms then
temporary := array_tmp3[1]*expt(glob_h, 3)*factorial_3(0, 3);
array_y2[4] := temporary;
array_y2_higher[1, 4] := temporary;
temporary := temporary*3.0/glob_h;
array_y2_higher[2, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_y2_higher[3, 2] := temporary;
temporary := temporary*1.0/glob_h;
array_y2_higher[4, 1] := temporary
end if
end if;
kkk := 2;
array_tmp5[1] := array_m1[1]*array_y2[1];
if not array_y1_set_initial[2, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp5[1]*expt(glob_h, 1)*factorial_3(0, 1);
array_y1[2] := temporary;
array_y1_higher[1, 2] := temporary;
temporary := temporary*1.0/glob_h;
array_y1_higher[2, 1] := temporary
end if
end if;
kkk := 2;
array_tmp1[2] := -array_tmp1_g[1]*array_x[2];
array_tmp1_g[2] := array_tmp1[1]*array_x[2];
array_tmp2[2] := ats(2, array_m1, array_tmp1, 1);
array_tmp3[2] := array_tmp2[2];
if not array_y2_set_initial[1, 5] then
if 2 <= glob_max_terms then
temporary := array_tmp3[2]*expt(glob_h, 3)*factorial_3(1, 4);
array_y2[5] := temporary;
array_y2_higher[1, 5] := temporary;
temporary := temporary*4.0/glob_h;
array_y2_higher[2, 4] := temporary;
temporary := temporary*3.0/glob_h;
array_y2_higher[3, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_y2_higher[4, 2] := temporary
end if
end if;
kkk := 3;
array_tmp5[2] := ats(2, array_m1, array_y2, 1);
if not array_y1_set_initial[2, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp5[2]*expt(glob_h, 1)*factorial_3(1, 2);
array_y1[3] := temporary;
array_y1_higher[1, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_y1_higher[2, 2] := temporary
end if
end if;
kkk := 3;
array_tmp1[3] := -1/2*array_tmp1_g[2]*array_x[2];
array_tmp1_g[3] := 1/2*array_tmp1[2]*array_x[2];
array_tmp2[3] := ats(3, array_m1, array_tmp1, 1);
array_tmp3[3] := array_tmp2[3];
if not array_y2_set_initial[1, 6] then
if 3 <= glob_max_terms then
temporary := array_tmp3[3]*expt(glob_h, 3)*factorial_3(2, 5);
array_y2[6] := temporary;
array_y2_higher[1, 6] := temporary;
temporary := temporary*5.0/glob_h;
array_y2_higher[2, 5] := temporary;
temporary := temporary*4.0/glob_h;
array_y2_higher[3, 4] := temporary;
temporary := temporary*3.0/glob_h;
array_y2_higher[4, 3] := temporary
end if
end if;
kkk := 4;
array_tmp5[3] := ats(3, array_m1, array_y2, 1);
if not array_y1_set_initial[2, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp5[3]*expt(glob_h, 1)*factorial_3(2, 3);
array_y1[4] := temporary;
array_y1_higher[1, 4] := temporary;
temporary := temporary*3.0/glob_h;
array_y1_higher[2, 3] := temporary
end if
end if;
kkk := 4;
array_tmp1[4] := -1/3*array_tmp1_g[3]*array_x[2];
array_tmp1_g[4] := 1/3*array_tmp1[3]*array_x[2];
array_tmp2[4] := ats(4, array_m1, array_tmp1, 1);
array_tmp3[4] := array_tmp2[4];
if not array_y2_set_initial[1, 7] then
if 4 <= glob_max_terms then
temporary := array_tmp3[4]*expt(glob_h, 3)*factorial_3(3, 6);
array_y2[7] := temporary;
array_y2_higher[1, 7] := temporary;
temporary := temporary*6.0/glob_h;
array_y2_higher[2, 6] := temporary;
temporary := temporary*5.0/glob_h;
array_y2_higher[3, 5] := temporary;
temporary := temporary*4.0/glob_h;
array_y2_higher[4, 4] := temporary
end if
end if;
kkk := 5;
array_tmp5[4] := ats(4, array_m1, array_y2, 1);
if not array_y1_set_initial[2, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp5[4]*expt(glob_h, 1)*factorial_3(3, 4);
array_y1[5] := temporary;
array_y1_higher[1, 5] := temporary;
temporary := temporary*4.0/glob_h;
array_y1_higher[2, 4] := temporary
end if
end if;
kkk := 5;
array_tmp1[5] := -1/4*array_tmp1_g[4]*array_x[2];
array_tmp1_g[5] := 1/4*array_tmp1[4]*array_x[2];
array_tmp2[5] := ats(5, array_m1, array_tmp1, 1);
array_tmp3[5] := array_tmp2[5];
if not array_y2_set_initial[1, 8] then
if 5 <= glob_max_terms then
temporary := array_tmp3[5]*expt(glob_h, 3)*factorial_3(4, 7);
array_y2[8] := temporary;
array_y2_higher[1, 8] := temporary;
temporary := temporary*7.0/glob_h;
array_y2_higher[2, 7] := temporary;
temporary := temporary*6.0/glob_h;
array_y2_higher[3, 6] := temporary;
temporary := temporary*5.0/glob_h;
array_y2_higher[4, 5] := temporary
end if
end if;
kkk := 6;
array_tmp5[5] := ats(5, array_m1, array_y2, 1);
if not array_y1_set_initial[2, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp5[5]*expt(glob_h, 1)*factorial_3(4, 5);
array_y1[6] := temporary;
array_y1_higher[1, 6] := temporary;
temporary := temporary*5.0/glob_h;
array_y1_higher[2, 5] := temporary
end if
end if;
kkk := 6;
while kkk <= glob_max_terms do
array_tmp1[kkk] := -array_tmp1_g[kkk - 1]*array_x[2]/(kkk - 1);
array_tmp1_g[kkk] := array_tmp1[kkk - 1]*array_x[2]/(kkk - 1);
array_tmp2[kkk] := ats(kkk, array_m1, array_tmp1, 1);
array_tmp3[kkk] := array_tmp2[kkk];
order_d := 3;
if kkk + order_d + 1 <= glob_max_terms then
if not array_y2_set_initial[1, kkk + order_d] then
temporary := array_tmp3[kkk]*expt(glob_h, order_d)*
factorial_3(kkk - 1, kkk + order_d - 1);
array_y2[kkk + order_d] := temporary;
array_y2_higher[1, kkk + order_d] := temporary;
term := kkk + order_d - 1;
adj2 := kkk + order_d - 1;
adj3 := 2;
while 1 <= term do
if adj3 <= order_d + 1 then
if 0 < adj2 then
temporary := temporary*convfp(adj2)/glob_h
else temporary := temporary
end if;
array_y2_higher[adj3, term] := temporary
end if;
term := term - 1;
adj2 := adj2 - 1;
adj3 := adj3 + 1
end do
end if
end if;
array_tmp5[kkk] := ats(kkk, array_m1, array_y2, 1);
order_d := 1;
if kkk + order_d + 1 <= glob_max_terms then
if not array_y1_set_initial[2, kkk + order_d] then
temporary := array_tmp5[kkk]*expt(glob_h, order_d)*
factorial_3(kkk - 1, kkk + order_d - 1);
array_y1[kkk + order_d] := temporary;
array_y1_higher[1, kkk + order_d] := temporary;
term := kkk + order_d - 1;
adj2 := kkk + order_d - 1;
adj3 := 2;
while 1 <= term do
if adj3 <= order_d + 1 then
if 0 < adj2 then
temporary := temporary*convfp(adj2)/glob_h
else temporary := temporary
end if;
array_y1_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_debug := proc(typ,radius,order2)
> global ALWAYS,glob_display_flag, glob_large_float, array_pole;
> if (typ = 1) then # if number 6
> omniout_str(ALWAYS,"Real");
> else
> omniout_str(ALWAYS,"Complex");
> fi;# end if 6;
> omniout_float(ALWAYS,"DBG Radius of convergence ",4, radius,4," ");
> omniout_float(ALWAYS,"DBG Order of pole ",4, order2,4," ");
> end;
display_pole_debug := proc(typ, radius, order2)
global ALWAYS, glob_display_flag, glob_large_float, array_pole;
if typ = 1 then omniout_str(ALWAYS, "Real")
else omniout_str(ALWAYS, "Complex")
end if;
omniout_float(ALWAYS, "DBG Radius of convergence ", 4, radius, 4,
" ");
omniout_float(ALWAYS, "DBG Order of pole ", 4, order2, 4,
" ")
end proc
> # End Function number 15
> # Begin Function number 16
> 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 16
> # Begin Function number 17
> 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 17
> # Begin Function number 18
> 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 18
> # Begin Function number 19
> 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 19
> # Begin Function number 20
> 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 > + 0.0000000000000000000000000000000001) 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 0.1*10^(-33) < rel_error 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 20
> # Begin Function number 21
> log_revs := proc(file,revs)
> fprintf(file,revs);
> end;
log_revs := proc(file, revs) fprintf(file, revs) end proc
> # End Function number 21
> # Begin Function number 22
> 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 22
> # Begin Function number 23
> 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 23
> # Begin Function number 24
> logstart := proc(file)
> fprintf(file,"");
> end;
logstart := proc(file) fprintf(file, "
") end proc
> # End Function number 24
> # Begin Function number 25
> logend := proc(file)
> fprintf(file,"
\n");
> end;
logend := proc(file) fprintf(file, "\n") end proc
> # End Function number 25
> # Begin Function number 26
> 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 26
> # Begin Function number 27
> 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 27
> # Begin Function number 28
> 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 28
> # Begin Function number 29
> factorial_2 := proc(nnn)
> nnn!;
> end;
factorial_2 := proc(nnn) nnn! end proc
> # End Function number 29
> # Begin Function number 30
> 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 30
> # Begin Function number 31
> 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 31
> # Begin Function number 32
> convfp := proc(mmm)
> (mmm);
> end;
convfp := proc(mmm) mmm end proc
> # End Function number 32
> # Begin Function number 33
> convfloat := proc(mmm)
> (mmm);
> end;
convfloat := proc(mmm) mmm end proc
> # End Function number 33
> # Begin Function number 34
> elapsed_time_seconds := proc()
> time();
> end;
elapsed_time_seconds := proc() time() end proc
> # End Function number 34
> # Begin Function number 35
> omniabs := proc(x)
> abs(x);
> end;
omniabs := proc(x) abs(x) end proc
> # End Function number 35
> # Begin Function number 36
> expt := proc(x,y)
> (x^y);
> end;
expt := proc(x, y) x^y end proc
> # End Function number 36
> # Begin Function number 37
> 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 37
> #END ATS LIBRARY BLOCK
> #BEGIN USER DEF BLOCK
> #BEGIN USER DEF BLOCK
> exact_soln_y2 := proc(x)
> return(sin(x));
> end;
exact_soln_y2 := proc(x) return sin(x) end proc
> exact_soln_y2p := proc(x)
> return( cos(x));
> end;
exact_soln_y2p := proc(x) return cos(x) end proc
> exact_soln_y2pp := proc(x)
> return( -sin(x));
> end;
exact_soln_y2pp := proc(x) return -sin(x) end proc
> exact_soln_y1 := proc(x)
> return( cos(x));
> end;
exact_soln_y1 := proc(x) return cos(x) 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, max_terms, opt_iter, tmp,subiter, est_needed_step_err,value3,min_value,est_answer,best_h,found_h,repeat_it;
> 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_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_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> 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_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_3,
> array_const_0D0,
> array_const_1,
> #END CONST
> array_y2_init,
> array_y1_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y2,
> array_x,
> array_y1,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y2_higher,
> array_y2_higher_work,
> array_y2_higher_work2,
> array_y2_set_initial,
> array_y1_higher,
> array_y1_higher_work,
> array_y1_higher_work2,
> array_y1_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_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_max_h := 0.1;
> 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_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-200;
> 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_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 := 2;
> 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/mtest4postode.ode#################");
> omniout_str(ALWAYS,"diff ( y2 , x , 3 ) = m1 * cos(x) ;");
> omniout_str(ALWAYS,"diff ( y1 , x , 1 ) = m1 * y2;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"Digits:=32;");
> omniout_str(ALWAYS,"max_terms:=30;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#END FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"x_start := 0.1;");
> omniout_str(ALWAYS,"x_end := 5.0;");
> omniout_str(ALWAYS,"array_y1_init[0 + 1] := exact_soln_y1(x_start);");
> omniout_str(ALWAYS,"array_y2_init[0 + 1] := exact_soln_y2(x_start);");
> omniout_str(ALWAYS,"array_y2_init[1 + 1] := exact_soln_y2p(x_start);");
> omniout_str(ALWAYS,"array_y2_init[2 + 1] := exact_soln_y2pp(x_start);");
> omniout_str(ALWAYS,"glob_max_iter := 20;");
> 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,"glob_subiter_method:=3;");
> omniout_str(ALWAYS,"#END OVERRIDE BLOCK");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK");
> omniout_str(ALWAYS,"exact_soln_y2 := proc(x)");
> omniout_str(ALWAYS,"return(sin(x));");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"exact_soln_y2p := proc(x)");
> omniout_str(ALWAYS,"return( cos(x));");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"exact_soln_y2pp := proc(x)");
> omniout_str(ALWAYS,"return( -sin(x));");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"exact_soln_y1 := proc(x)");
> omniout_str(ALWAYS,"return( cos(x));");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"");
> omniout_str(ALWAYS,"#END USER DEF BLOCK");
> omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################");
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_small_float := 1.0e-200;
> glob_smallish_float := 1.0e-64;
> glob_large_float := 1.0e100;
> glob_almost_1 := 0.99;
> #BEGIN FIRST INPUT BLOCK
> #BEGIN FIRST INPUT BLOCK
> Digits:=32;
> max_terms:=30;
> #END FIRST INPUT BLOCK
> #START OF INITS AFTER INPUT BLOCK
> glob_max_terms := max_terms;
> glob_html_log := true;
> #END OF INITS AFTER INPUT BLOCK
> array_y2_init:= Array(0..(max_terms + 1),[]);
> array_y1_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_y2:= Array(0..(max_terms + 1),[]);
> array_x:= Array(0..(max_terms + 1),[]);
> array_y1:= Array(0..(max_terms + 1),[]);
> array_tmp0:= Array(0..(max_terms + 1),[]);
> array_tmp1_g:= Array(0..(max_terms + 1),[]);
> array_tmp1:= Array(0..(max_terms + 1),[]);
> array_tmp2:= Array(0..(max_terms + 1),[]);
> array_tmp3:= Array(0..(max_terms + 1),[]);
> array_tmp4:= Array(0..(max_terms + 1),[]);
> array_tmp5:= Array(0..(max_terms + 1),[]);
> array_m1:= Array(0..(max_terms + 1),[]);
> array_y2_higher := Array(0..(4+ 1) ,(0..max_terms+ 1),[]);
> array_y2_higher_work := Array(0..(4+ 1) ,(0..max_terms+ 1),[]);
> array_y2_higher_work2 := Array(0..(4+ 1) ,(0..max_terms+ 1),[]);
> array_y2_set_initial := Array(0..(3+ 1) ,(0..max_terms+ 1),[]);
> array_y1_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y1_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y1_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y1_set_initial := Array(0..(3+ 1) ,(0..max_terms+ 1),[]);
> array_poles := Array(0..(2+ 1) ,(0..3+ 1),[]);
> array_real_pole := Array(0..(2+ 1) ,(0..3+ 1),[]);
> array_complex_pole := Array(0..(2+ 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_y2_init[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y1_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_y2[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_y1[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_g[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp5[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=4) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y2_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 <=4) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y2_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 <=4) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y2_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 <=3) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y2_set_initial[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y1_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_y1_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_y1_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 <=3) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y1_set_initial[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_real_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= 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_y2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_y2[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_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_y1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_y1[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_g := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp1_g[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp4 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp5 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp5[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_3[1] := 3;
> 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_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_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 := 0.1;
> x_end := 5.0;
> array_y1_init[0 + 1] := exact_soln_y1(x_start);
> array_y2_init[0 + 1] := exact_soln_y2(x_start);
> array_y2_init[1 + 1] := exact_soln_y2p(x_start);
> array_y2_init[2 + 1] := exact_soln_y2pp(x_start);
> glob_max_iter := 20;
> #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;
> glob_subiter_method:=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);
> 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_y2_set_initial[1,1] := true;
> array_y2_set_initial[1,2] := true;
> array_y2_set_initial[1,3] := true;
> array_y2_set_initial[1,4] := false;
> array_y2_set_initial[1,5] := false;
> array_y2_set_initial[1,6] := false;
> array_y2_set_initial[1,7] := false;
> array_y2_set_initial[1,8] := false;
> array_y2_set_initial[1,9] := false;
> array_y2_set_initial[1,10] := false;
> array_y2_set_initial[1,11] := false;
> array_y2_set_initial[1,12] := false;
> array_y2_set_initial[1,13] := false;
> array_y2_set_initial[1,14] := false;
> array_y2_set_initial[1,15] := false;
> array_y2_set_initial[1,16] := false;
> array_y2_set_initial[1,17] := false;
> array_y2_set_initial[1,18] := false;
> array_y2_set_initial[1,19] := false;
> array_y2_set_initial[1,20] := false;
> array_y2_set_initial[1,21] := false;
> array_y2_set_initial[1,22] := false;
> array_y2_set_initial[1,23] := false;
> array_y2_set_initial[1,24] := false;
> array_y2_set_initial[1,25] := false;
> array_y2_set_initial[1,26] := false;
> array_y2_set_initial[1,27] := false;
> array_y2_set_initial[1,28] := false;
> array_y2_set_initial[1,29] := false;
> array_y2_set_initial[1,30] := false;
> array_y1_set_initial[2,1] := true;
> array_y1_set_initial[2,2] := false;
> array_y1_set_initial[2,3] := false;
> array_y1_set_initial[2,4] := false;
> array_y1_set_initial[2,5] := false;
> array_y1_set_initial[2,6] := false;
> array_y1_set_initial[2,7] := false;
> array_y1_set_initial[2,8] := false;
> array_y1_set_initial[2,9] := false;
> array_y1_set_initial[2,10] := false;
> array_y1_set_initial[2,11] := false;
> array_y1_set_initial[2,12] := false;
> array_y1_set_initial[2,13] := false;
> array_y1_set_initial[2,14] := false;
> array_y1_set_initial[2,15] := false;
> array_y1_set_initial[2,16] := false;
> array_y1_set_initial[2,17] := false;
> array_y1_set_initial[2,18] := false;
> array_y1_set_initial[2,19] := false;
> array_y1_set_initial[2,20] := false;
> array_y1_set_initial[2,21] := false;
> array_y1_set_initial[2,22] := false;
> array_y1_set_initial[2,23] := false;
> array_y1_set_initial[2,24] := false;
> array_y1_set_initial[2,25] := false;
> array_y1_set_initial[2,26] := false;
> array_y1_set_initial[2,27] := false;
> array_y1_set_initial[2,28] := false;
> array_y1_set_initial[2,29] := false;
> array_y1_set_initial[2,30] := 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 3
> glob_h := glob_display_interval;
> fi;# end if 3;
> if (glob_max_h < glob_h) then # if number 3
> glob_h := glob_max_h;
> fi;# end if 3;
> 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 := 3;
> #Start Series array_y2
> term_no := 1;
> while (term_no <= order_diff) do # do number 3
> array_y2[term_no] := array_y2_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_y2_higher[r_order,term_no] := array_y2_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
> ;
> order_diff := 1;
> #Start Series array_y1
> term_no := 1;
> while (term_no <= order_diff) do # do number 3
> array_y1[term_no] := array_y1_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_y1_higher[r_order,term_no] := array_y1_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
> ;
> if (glob_subiter_method = 1 ) then # if number 3
> atomall();
> elif
> (glob_subiter_method = 2 ) then # if number 4
> subiter := 1;
> while (subiter <= 4) do # do number 3
> atomall();
> subiter := subiter + 1;
> od;# end do number 3;
> else
> subiter := 1;
> while (subiter <= 4 + glob_max_terms) do # do number 3
> atomall();
> subiter := subiter + 1;
> od;# end do number 3;
> fi;# end if 4;
> 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 4
> best_h := glob_h;
> found_h := 1.0;
> fi;# end if 4;
> 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 4
> glob_h := best_h ;
> else
> omniout_str(ALWAYS,"No increment to obtain desired accuracy found");
> fi;# end if 4;
> #END OPTIMIZE CODE
> if (glob_html_log) then # if number 4
> html_log_file := fopen("html/entry.html",WRITE,TEXT);
> fi;# end if 4;
> #BEGIN SOLUTION CODE
> if (found_h > 0.0) then # if number 4
> 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 := 3;
> #Start Series array_y2
> term_no := 1;
> while (term_no <= order_diff) do # do number 2
> array_y2[term_no] := array_y2_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_y2_higher[r_order,term_no] := array_y2_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
> ;
> order_diff := 1;
> #Start Series array_y1
> term_no := 1;
> while (term_no <= order_diff) do # do number 2
> array_y1[term_no] := array_y1_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_y1_higher[r_order,term_no] := array_y1_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_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 5
> omniout_str(INFO," ");
> omniout_str(INFO,"TOP MAIN SOLVE Loop");
> fi;# end if 5;
> glob_iter := glob_iter + 1;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := glob_current_iter + 1;
> if (glob_subiter_method = 1 ) then # if number 5
> atomall();
> elif
> (glob_subiter_method = 2 ) then # if number 6
> subiter := 1;
> while (subiter <= 4) do # do number 3
> atomall();
> subiter := subiter + 1;
> od;# end do number 3;
> else
> subiter := 1;
> while (subiter <= 4 + glob_max_terms) do # do number 3
> atomall();
> subiter := subiter + 1;
> od;# end do number 3;
> fi;# end if 6;
> display_alot(current_iter);
> if (glob_look_poles) then # if number 6
> #left paren 0004C
> check_for_pole();
> fi;# end if 6;#was right paren 0004C
> if (reached_interval()) then # if number 6
> glob_next_display := glob_next_display + glob_display_interval;
> fi;# end if 6;
> array_x[1] := array_x[1] + glob_h;
> array_x[2] := glob_h;
> #Jump Series array_y2;
> order_diff := 4;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =1
> #sum_and_adjust array_y2
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 4;
> calc_term := 1;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[4,iii] := array_y2_higher[4,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 := 4;
> calc_term := 1;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y2_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 := 3;
> calc_term := 2;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[3,iii] := array_y2_higher[3,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 := 3;
> calc_term := 2;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y2_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 := 3;
> calc_term := 1;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[3,iii] := array_y2_higher[3,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 := 3;
> calc_term := 1;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y2_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 := 2;
> calc_term := 3;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[2,iii] := array_y2_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 := 3;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y2_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 := 2;
> calc_term := 2;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[2,iii] := array_y2_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 := 2;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y2_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 := 2;
> calc_term := 1;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[2,iii] := array_y2_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_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y2_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 := 4;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[1,iii] := array_y2_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 := 4;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y2_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 := 3;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[1,iii] := array_y2_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 := 3;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y2_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_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[1,iii] := array_y2_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_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y2_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_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[1,iii] := array_y2_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_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y2_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_y2[term_no] := array_y2_higher_work2[1,term_no];
> ord := 1;
> while (ord <= order_diff) do # do number 4
> array_y2_higher[ord,term_no] := array_y2_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
> #Jump Series array_y1;
> order_diff := 2;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =2
> #sum_and_adjust array_y1
> #BEFORE ADJUST SUBSERIES EQ =2
> ord := 2;
> calc_term := 1;
> #adjust_subseriesarray_y1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y1_higher_work[2,iii] := array_y1_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 =2
> #BEFORE SUM SUBSERIES EQ =2
> temp_sum := 0.0;
> ord := 2;
> calc_term := 1;
> #sum_subseriesarray_y1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y1_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y1_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =2
> #BEFORE ADJUST SUBSERIES EQ =2
> ord := 1;
> calc_term := 2;
> #adjust_subseriesarray_y1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y1_higher_work[1,iii] := array_y1_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 =2
> #BEFORE SUM SUBSERIES EQ =2
> temp_sum := 0.0;
> ord := 1;
> calc_term := 2;
> #sum_subseriesarray_y1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y1_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y1_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =2
> #BEFORE ADJUST SUBSERIES EQ =2
> ord := 1;
> calc_term := 1;
> #adjust_subseriesarray_y1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y1_higher_work[1,iii] := array_y1_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 =2
> #BEFORE SUM SUBSERIES EQ =2
> temp_sum := 0.0;
> ord := 1;
> calc_term := 1;
> #sum_subseriesarray_y1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y1_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y1_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =2
> #END SUM AND ADJUST EQ =2
> #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_y1[term_no] := array_y1_higher_work2[1,term_no];
> ord := 1;
> while (ord <= order_diff) do # do number 4
> array_y1_higher[ord,term_no] := array_y1_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
> ;
> od;# end do number 2;#right paren 0001C
> omniout_str(ALWAYS,"Finished!");
> if (glob_iter >= glob_max_iter) then # if number 6
> omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!");
> fi;# end if 6;
> if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 6
> omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!");
> fi;# end if 6;
> glob_clock_sec := elapsed_time_seconds();
> omniout_str(INFO,"diff ( y2 , x , 3 ) = m1 * cos(x) ;");
> omniout_str(INFO,"diff ( y1 , x , 1 ) = m1 * y2;");
> omniout_int(INFO,"Iterations ",32,glob_iter,4," ")
> ;
> prog_report(x_start,x_end);
> if (glob_html_log) then # if number 6
> logstart(html_log_file);
> logitem_str(html_log_file,"2013-01-28T16:47:44-06:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"mtest4")
> ;
> logitem_str(html_log_file,"diff ( y2 , x , 3 ) = m1 * cos(x) ;")
> ;
> logitem_float(html_log_file,x_start)
> ;
> logitem_float(html_log_file,x_end)
> ;
> logitem_float(html_log_file,array_x[1])
> ;
> logitem_float(html_log_file,glob_h)
> ;
> logitem_integer(html_log_file,Digits)
> ;
> ;
> logitem_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 7
> 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 7;
> logitem_time(html_log_file,convfloat(glob_clock_sec))
> ;
> if (glob_percent_done < 100.0) then # if number 7
> logitem_time(html_log_file,convfloat(glob_total_exp_sec))
> ;
> 0;
> else
> logitem_str(html_log_file,"Done")
> ;
> 0;
> fi;# end if 7;
> log_revs(html_log_file," 165 | ")
> ;
> logitem_str(html_log_file,"mtest4 diffeq.mxt")
> ;
> logitem_str(html_log_file,"mtest4 maple results")
> ;
> logitem_str(html_log_file,"All Tests - All Languages")
> ;
> logend(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logitem_str(html_log_file,"diff ( y1 , x , 1 ) = m1 * y2;")
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> ;
> logitem_good_digits(html_log_file,array_last_rel_error[2])
> ;
> logditto(html_log_file)
> ;
> logitem_float(html_log_file,array_1st_rel_error[2])
> ;
> logitem_float(html_log_file,array_last_rel_error[2])
> ;
> logditto(html_log_file)
> ;
> logitem_pole(html_log_file,array_type_pole[2])
> ;
> if (array_type_pole[2] = 1 or array_type_pole[2] = 2) then # if number 7
> 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 7;
> logditto(html_log_file)
> ;
> if (glob_percent_done < 100.0) then # if number 7
> logditto(html_log_file)
> ;
> 0;
> else
> logditto(html_log_file)
> ;
> 0;
> fi;# end if 7;
> logditto(html_log_file);
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logend(html_log_file)
> ;
> ;
> fi;# end if 6;
> if (glob_html_log) then # if number 6
> fclose(html_log_file);
> fi;# end if 6
> ;
> ;;
> fi;# end if 5
> #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, max_terms, opt_iter, tmp,
subiter, est_needed_step_err, value3, min_value, est_answer, best_h,
found_h, repeat_it;
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_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_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, 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_max_minutes, array_const_3,
array_const_0D0, array_const_1, array_y2_init, array_y1_init, array_norms,
array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error,
array_type_pole, array_y2, array_x, array_y1, array_tmp0, array_tmp1_g,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1,
array_y2_higher, array_y2_higher_work, array_y2_higher_work2,
array_y2_set_initial, array_y1_higher, array_y1_higher_work,
array_y1_higher_work2, array_y1_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_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_max_h := 0.1;
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_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^(-200);
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_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 := 2;
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/mtest4postode.ode#################");
omniout_str(ALWAYS, "diff ( y2 , x , 3 ) = m1 * cos(x) ;");
omniout_str(ALWAYS, "diff ( y1 , x , 1 ) = m1 * y2;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK");
omniout_str(ALWAYS, "Digits:=32;");
omniout_str(ALWAYS, "max_terms:=30;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#END FIRST INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK");
omniout_str(ALWAYS, "x_start := 0.1;");
omniout_str(ALWAYS, "x_end := 5.0;");
omniout_str(ALWAYS, "array_y1_init[0 + 1] := exact_soln_y1(x_start);");
omniout_str(ALWAYS, "array_y2_init[0 + 1] := exact_soln_y2(x_start);");
omniout_str(ALWAYS, "array_y2_init[1 + 1] := exact_soln_y2p(x_start);")
;
omniout_str(ALWAYS, "array_y2_init[2 + 1] := exact_soln_y2pp(x_start);")
;
omniout_str(ALWAYS, "glob_max_iter := 20;");
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, "glob_subiter_method:=3;");
omniout_str(ALWAYS, "#END OVERRIDE BLOCK");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK");
omniout_str(ALWAYS, "exact_soln_y2 := proc(x)");
omniout_str(ALWAYS, "return(sin(x));");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "exact_soln_y2p := proc(x)");
omniout_str(ALWAYS, "return( cos(x));");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "exact_soln_y2pp := proc(x)");
omniout_str(ALWAYS, "return( -sin(x));");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "exact_soln_y1 := proc(x)");
omniout_str(ALWAYS, "return( cos(x));");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "");
omniout_str(ALWAYS, "#END USER DEF BLOCK");
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################");
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_small_float := 0.10*10^(-199);
glob_smallish_float := 0.10*10^(-63);
glob_large_float := 0.10*10^101;
glob_almost_1 := 0.99;
Digits := 32;
max_terms := 30;
glob_max_terms := max_terms;
glob_html_log := true;
array_y2_init := Array(0 .. max_terms + 1, []);
array_y1_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_y2 := Array(0 .. max_terms + 1, []);
array_x := Array(0 .. max_terms + 1, []);
array_y1 := Array(0 .. max_terms + 1, []);
array_tmp0 := Array(0 .. max_terms + 1, []);
array_tmp1_g := Array(0 .. max_terms + 1, []);
array_tmp1 := Array(0 .. max_terms + 1, []);
array_tmp2 := Array(0 .. max_terms + 1, []);
array_tmp3 := Array(0 .. max_terms + 1, []);
array_tmp4 := Array(0 .. max_terms + 1, []);
array_tmp5 := Array(0 .. max_terms + 1, []);
array_m1 := Array(0 .. max_terms + 1, []);
array_y2_higher := Array(0 .. 5, 0 .. max_terms + 1, []);
array_y2_higher_work := Array(0 .. 5, 0 .. max_terms + 1, []);
array_y2_higher_work2 := Array(0 .. 5, 0 .. max_terms + 1, []);
array_y2_set_initial := Array(0 .. 4, 0 .. max_terms + 1, []);
array_y1_higher := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y1_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y1_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y1_set_initial := Array(0 .. 4, 0 .. max_terms + 1, []);
array_poles := Array(0 .. 3, 0 .. 4, []);
array_real_pole := Array(0 .. 3, 0 .. 4, []);
array_complex_pole := Array(0 .. 3, 0 .. 4, []);
array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []);
term := 1;
while term <= max_terms do array_y2_init[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_y1_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_y2[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_y1[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_g[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp5[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
ord := 1;
while ord <= 4 do
term := 1;
while term <= max_terms do
array_y2_higher[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 4 do
term := 1;
while term <= max_terms do
array_y2_higher_work[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 4 do
term := 1;
while term <= max_terms do
array_y2_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 3 do
term := 1;
while term <= max_terms do
array_y2_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y1_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_y1_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_y1_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 3 do
term := 1;
while term <= max_terms do
array_y1_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= 3 do array_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= 3 do
array_real_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= 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_y2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_y2[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_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1
end do;
array_y1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_y1[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_g := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp1_g[term] := 0.; term := term + 1
end do;
array_tmp1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1
end do;
array_tmp2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1
end do;
array_tmp3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1
end do;
array_tmp4 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1
end do;
array_tmp5 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp5[term] := 0.; term := term + 1
end do;
array_const_3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_3[term] := 0.; term := term + 1
end do;
array_const_3[1] := 3;
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_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_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 := 0.1;
x_end := 5.0;
array_y1_init[1] := exact_soln_y1(x_start);
array_y2_init[1] := exact_soln_y2(x_start);
array_y2_init[2] := exact_soln_y2p(x_start);
array_y2_init[3] := exact_soln_y2pp(x_start);
glob_max_iter := 20;
glob_desired_digits_correct := 10;
glob_display_interval := 0.001;
glob_look_poles := true;
glob_max_iter := 10000000;
glob_max_minutes := 3;
glob_subiter_method := 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);
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_y2_set_initial[1, 1] := true;
array_y2_set_initial[1, 2] := true;
array_y2_set_initial[1, 3] := true;
array_y2_set_initial[1, 4] := false;
array_y2_set_initial[1, 5] := false;
array_y2_set_initial[1, 6] := false;
array_y2_set_initial[1, 7] := false;
array_y2_set_initial[1, 8] := false;
array_y2_set_initial[1, 9] := false;
array_y2_set_initial[1, 10] := false;
array_y2_set_initial[1, 11] := false;
array_y2_set_initial[1, 12] := false;
array_y2_set_initial[1, 13] := false;
array_y2_set_initial[1, 14] := false;
array_y2_set_initial[1, 15] := false;
array_y2_set_initial[1, 16] := false;
array_y2_set_initial[1, 17] := false;
array_y2_set_initial[1, 18] := false;
array_y2_set_initial[1, 19] := false;
array_y2_set_initial[1, 20] := false;
array_y2_set_initial[1, 21] := false;
array_y2_set_initial[1, 22] := false;
array_y2_set_initial[1, 23] := false;
array_y2_set_initial[1, 24] := false;
array_y2_set_initial[1, 25] := false;
array_y2_set_initial[1, 26] := false;
array_y2_set_initial[1, 27] := false;
array_y2_set_initial[1, 28] := false;
array_y2_set_initial[1, 29] := false;
array_y2_set_initial[1, 30] := false;
array_y1_set_initial[2, 1] := true;
array_y1_set_initial[2, 2] := false;
array_y1_set_initial[2, 3] := false;
array_y1_set_initial[2, 4] := false;
array_y1_set_initial[2, 5] := false;
array_y1_set_initial[2, 6] := false;
array_y1_set_initial[2, 7] := false;
array_y1_set_initial[2, 8] := false;
array_y1_set_initial[2, 9] := false;
array_y1_set_initial[2, 10] := false;
array_y1_set_initial[2, 11] := false;
array_y1_set_initial[2, 12] := false;
array_y1_set_initial[2, 13] := false;
array_y1_set_initial[2, 14] := false;
array_y1_set_initial[2, 15] := false;
array_y1_set_initial[2, 16] := false;
array_y1_set_initial[2, 17] := false;
array_y1_set_initial[2, 18] := false;
array_y1_set_initial[2, 19] := false;
array_y1_set_initial[2, 20] := false;
array_y1_set_initial[2, 21] := false;
array_y1_set_initial[2, 22] := false;
array_y1_set_initial[2, 23] := false;
array_y1_set_initial[2, 24] := false;
array_y1_set_initial[2, 25] := false;
array_y1_set_initial[2, 26] := false;
array_y1_set_initial[2, 27] := false;
array_y1_set_initial[2, 28] := false;
array_y1_set_initial[2, 29] := false;
array_y1_set_initial[2, 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;
if glob_max_h < glob_h then glob_h := glob_max_h 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 := 3;
term_no := 1;
while term_no <= order_diff do
array_y2[term_no] := array_y2_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_y2_higher[r_order, term_no] := array_y2_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;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y1[term_no] := array_y1_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_y1_higher[r_order, term_no] := array_y1_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;
if glob_subiter_method = 1 then atomall()
elif glob_subiter_method = 2 then
subiter := 1;
while subiter <= 4 do atomall(); subiter := subiter + 1 end do
else
subiter := 1;
while subiter <= 4 + glob_max_terms do
atomall(); subiter := subiter + 1
end do
end if;
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 := 3;
term_no := 1;
while term_no <= order_diff do
array_y2[term_no] := array_y2_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_y2_higher[r_order, term_no] := array_y2_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;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y1[term_no] := array_y1_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_y1_higher[r_order, term_no] := array_y1_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_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;
if glob_subiter_method = 1 then atomall()
elif glob_subiter_method = 2 then
subiter := 1;
while subiter <= 4 do atomall(); subiter := subiter + 1
end do
else
subiter := 1;
while subiter <= 4 + glob_max_terms do
atomall(); subiter := subiter + 1
end do
end if;
display_alot(current_iter);
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 := 4;
ord := 4;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[4, iii] := array_y2_higher[4, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 4;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 3;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[3, iii] := array_y2_higher[3, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 3;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 3;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[3, iii] := array_y2_higher[3, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 3;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 2;
calc_term := 3;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[2, iii] := array_y2_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 := 3;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 2;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[2, iii] := array_y2_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 := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[2, iii] := array_y2_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_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 4;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[1, iii] := array_y2_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 := 4;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 3;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[1, iii] := array_y2_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 := 3;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_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_y2_higher_work[1, iii] := array_y2_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_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_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_y2_higher_work[1, iii] := array_y2_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_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_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_y2[term_no] := array_y2_higher_work2[1, term_no];
ord := 1;
while ord <= order_diff do
array_y2_higher[ord, term_no] :=
array_y2_higher_work2[ord, term_no];
ord := ord + 1
end do;
term_no := term_no - 1
end do;
order_diff := 2;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y1_higher_work[2, iii] := array_y1_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_y1_higher_work[ord, iii];
iii := iii - 1
end do;
array_y1_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_y1_higher_work[1, iii] := array_y1_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_y1_higher_work[ord, iii];
iii := iii - 1
end do;
array_y1_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_y1_higher_work[1, iii] := array_y1_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_y1_higher_work[ord, iii];
iii := iii - 1
end do;
array_y1_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_y1[term_no] := array_y1_higher_work2[1, term_no];
ord := 1;
while ord <= order_diff do
array_y1_higher[ord, term_no] :=
array_y1_higher_work2[ord, term_no];
ord := ord + 1
end do;
term_no := term_no - 1
end do
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 ( y2 , x , 3 ) = m1 * cos(x) ;");
omniout_str(INFO, "diff ( y1 , x , 1 ) = m1 * y2;");
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, "2013-01-28T16:47:44-06:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file,
"mtest4");
logitem_str(html_log_file,
"diff ( y2 , x , 3 ) = m1 * cos(x) ;");
logitem_float(html_log_file, x_start);
logitem_float(html_log_file, x_end);
logitem_float(html_log_file, array_x[1]);
logitem_float(html_log_file, glob_h);
logitem_integer(html_log_file, Digits);
logitem_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, " 165 | ");
logitem_str(html_log_file,
"mtest4 diffeq.mxt");
logitem_str(html_log_file, "mtest4 maple results");
logitem_str(html_log_file, "All Tests - All Languages");
logend(html_log_file);
logditto(html_log_file);
logditto(html_log_file);
logditto(html_log_file);
logitem_str(html_log_file, "diff ( y1 , x , 1 ) = m1 * y2;");
logditto(html_log_file);
logditto(html_log_file);
logditto(html_log_file);
logditto(html_log_file);
logditto(html_log_file);
logitem_good_digits(html_log_file, array_last_rel_error[2]);
logditto(html_log_file);
logitem_float(html_log_file, array_1st_rel_error[2]);
logitem_float(html_log_file, array_last_rel_error[2]);
logditto(html_log_file);
logitem_pole(html_log_file, array_type_pole[2]);
if array_type_pole[2] = 1 or array_type_pole[2] = 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;
logditto(html_log_file);
if glob_percent_done < 100.0 then logditto(html_log_file); 0
else logditto(html_log_file); 0
end if;
logditto(html_log_file);
logditto(html_log_file);
logditto(html_log_file);
logditto(html_log_file);
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/mtest4postode.ode#################
diff ( y2 , x , 3 ) = m1 * cos(x) ;
diff ( y1 , x , 1 ) = m1 * y2;
!
#BEGIN FIRST INPUT BLOCK
Digits:=32;
max_terms:=30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := 0.1;
x_end := 5.0;
array_y1_init[0 + 1] := exact_soln_y1(x_start);
array_y2_init[0 + 1] := exact_soln_y2(x_start);
array_y2_init[1 + 1] := exact_soln_y2p(x_start);
array_y2_init[2 + 1] := exact_soln_y2pp(x_start);
glob_max_iter := 20;
#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;
glob_subiter_method:=3;
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
exact_soln_y2 := proc(x)
return(sin(x));
end;
exact_soln_y2p := proc(x)
return( cos(x));
end;
exact_soln_y2pp := proc(x)
return( -sin(x));
end;
exact_soln_y1 := proc(x)
return( cos(x));
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Optimize
min_size = 0
min_size = 1
opt_iter = 1
memory used=3.8MB, alloc=3.1MB, time=0.18
glob_desired_digits_correct = 10
desired_abs_gbl_error = 1.0000000000000000000000000000000e-10
range = 4.9
estimated_steps = 4900
step_error = 2.0408163265306122448979591836735e-14
est_needed_step_err = 2.0408163265306122448979591836735e-14
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
value3 = 2.4759225582891422933370225621906e-106
value3 = 2.4672040251049429538467757202074e-105
max_value3 = 2.4672040251049429538467757202074e-105
value3 = 2.4672040251049429538467757202074e-105
best_h = 0.001
START of Soultion
TOP MAIN SOLVE Loop
memory used=7.6MB, alloc=4.4MB, time=0.41
x[1] = 0.1
y2[1] (analytic) = 0.099833416646828152306814198410622
y2[1] (numeric) = 0.099833416646828152306814198410622
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 0.99500416527802576609556198780387
y1[1] (numeric) = 0.99500416527802576609556198780387
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=4.4MB, time=0.64
x[1] = 0.101
y2[1] (analytic) = 0.10082837072956799512975211952319
y2[1] (numeric) = 0.10082837072956799512975211952319
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 0.99490383437597665937840299982896
y1[1] (numeric) = 0.99490383437597665937840299982896
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=15.2MB, alloc=4.4MB, time=0.87
memory used=19.0MB, alloc=4.4MB, time=1.10
x[1] = 0.102
y2[1] (analytic) = 0.10182322398394551074864229608065
y2[1] (numeric) = 0.10182322398394551074864229608065
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 0.99480250857017608533468567645987
y1[1] (numeric) = 0.99480250857017608533468567645986
absolute error = 1e-32
relative error = 1.0052246464851543641113853959517e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=22.8MB, alloc=4.4MB, time=1.33
x[1] = 0.103
y2[1] (analytic) = 0.10281797541510752769040421050459
y2[1] (numeric) = 0.10281797541510752769040421050459
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 0.99470018796194984132116719282663
y1[1] (numeric) = 0.99470018796194984132116719282663
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=26.7MB, alloc=4.4MB, time=1.56
x[1] = 0.104
y2[1] (analytic) = 0.10381262402830269768897075466946
y2[1] (numeric) = 0.10381262402830269768897075466946
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 0.99459687265361852703737449448465
y1[1] (numeric) = 0.99459687265361852703737449448465
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=30.5MB, alloc=4.4MB, time=1.79
x[1] = 0.105
y2[1] (analytic) = 0.10480716882888249043655360002678
y2[1] (numeric) = 0.10480716882888249043655360002679
absolute error = 1e-32
relative error = 9.5413320593812526309072352799452e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.99449256274849744220501312460406
y1[1] (numeric) = 0.99449256274849744220501312460406
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=34.3MB, alloc=4.4MB, time=2.02
x[1] = 0.106
y2[1] (analytic) = 0.10580160882230218823209061801872
y2[1] (numeric) = 0.10580160882230218823209061801873
absolute error = 1e-32
relative error = 9.4516521169308294618670380485659e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.99438725835089648325267611187222
y1[1] (numeric) = 0.99438725835089648325267611187222
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=38.1MB, alloc=4.4MB, time=2.25
memory used=41.9MB, alloc=4.4MB, time=2.49
x[1] = 0.107
y2[1] (analytic) = 0.10679594301412188052588070241646
y2[1] (numeric) = 0.10679594301412188052588070241648
absolute error = 2e-32
relative error = 1.8727303149854065733057027563251e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.99428095956612003900595623439178
y1[1] (numeric) = 0.99428095956612003900595623439178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=45.7MB, alloc=4.4MB, time=2.72
x[1] = 0.108
y2[1] (analytic) = 0.10779017041000745835941144903159
y2[1] (numeric) = 0.1077901704100074583594114490316
absolute error = 1e-32
relative error = 9.2772837838204026890097042904989e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.99417366650046688538306596945332
y1[1] (numeric) = 0.99417366650046688538306596945332
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=49.5MB, alloc=4.4MB, time=2.95
x[1] = 0.109
y2[1] (analytic) = 0.10878429001573160869938525305544
y2[1] (numeric) = 0.10878429001573160869938525305546
absolute error = 2e-32
relative error = 1.8385007611951820012922404986594e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.99406537926123007909607043355394
y1[1] (numeric) = 0.99406537926123007909607043355393
absolute error = 1e-32
relative error = 1.0059700507256176800023823254121e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=53.4MB, alloc=4.4MB, time=3.18
x[1] = 0.11
y2[1] (analytic) = 0.10977830083717480866494949008345
y2[1] (numeric) = 0.10977830083717480866494949008347
absolute error = 2e-32
relative error = 1.8218536675717332517910891446314e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.99395609795669685035783961141985
y1[1] (numeric) = 0.99395609795669685035783961141984
absolute error = 1e-32
relative error = 1.0060806529138739295356804682092e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=57.2MB, alloc=4.4MB, time=3.42
x[1] = 0.111
y2[1] (analytic) = 0.11077220188032631964713655367693
y2[1] (numeric) = 0.11077220188032631964713655367695
absolute error = 2e-32
relative error = 1.8055071272851620555989418706744e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.99384582269614849459482716707199
y1[1] (numeric) = 0.99384582269614849459482716707198
absolute error = 1e-32
relative error = 1.0061922857281385794439936053254e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=61.0MB, alloc=4.4MB, time=3.65
x[1] = 0.112
y2[1] (analytic) = 0.11176599215128518131951963010521
y2[1] (numeric) = 0.11176599215128518131951963010523
absolute error = 2e-32
relative error = 1.7894530898923374189964964806201e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.99373455358986026316578412414666
y1[1] (numeric) = 0.99373455358986026316578412414665
absolute error = 1e-32
relative error = 1.0063049497348218881188352883004e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=64.8MB, alloc=4.4MB, time=3.88
TOP MAIN SOLVE Loop
memory used=68.6MB, alloc=4.5MB, time=4.12
x[1] = 0.113
y2[1] (analytic) = 0.1127596706562612055390901996952
y2[1] (numeric) = 0.11275967065626120553909019969522
absolute error = 2e-32
relative error = 1.7736837899224087635266901706967e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.99362229074910125308651669674845
y1[1] (numeric) = 0.99362229074910125308651669674844
absolute error = 1e-32
relative error = 1.0064186455057188094301217864537e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=72.4MB, alloc=4.5MB, time=4.35
x[1] = 0.114
y2[1] (analytic) = 0.11375323640157597013636336399366
y2[1] (numeric) = 0.11375323640157597013636336399369
absolute error = 3e-32
relative error = 2.6372876015670329842055288886658e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.99350903428613429576079854606851
y1[1] (numeric) = 0.9935090342861342957607985460685
absolute error = 1e-32
relative error = 1.0065333736180161216129094911941e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=76.2MB, alloc=4.5MB, time=4.59
x[1] = 0.115
y2[1] (analytic) = 0.1147466883936638125937172087197
y2[1] (numeric) = 0.11474668839366381259371720871972
absolute error = 2e-32
relative error = 1.7429696908886460082358354876600e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.99339478431421584471754873184649
y1[1] (numeric) = 0.99339478431421584471754873184648
absolute error = 1e-32
relative error = 1.0066491346542996261800482583824e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=80.1MB, alloc=4.5MB, time=4.82
x[1] = 0.116
y2[1] (analytic) = 0.11574002563907282361097252425083
y2[1] (numeric) = 0.11574002563907282361097252425086
absolute error = 3e-32
relative error = 2.5920160147149873747757779608540e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.99327954094759586235438762148898
y1[1] (numeric) = 0.99327954094759586235438762148897
absolute error = 1e-32
relative error = 1.0067659292025614170289689631342e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=83.9MB, alloc=4.5MB, time=5.06
x[1] = 0.117
y2[1] (analytic) = 0.11673324714446584055721931814593
y2[1] (numeric) = 0.11673324714446584055721931814596
absolute error = 3e-32
relative error = 2.5699619203492925282605557316595e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.99316330430151770568768401327901
y1[1] (numeric) = 0.993163304301517705687684013279
absolute error = 1e-32
relative error = 1.0068837578562072199125500669319e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=87.7MB, alloc=4.5MB, time=5.29
memory used=91.5MB, alloc=4.5MB, time=5.53
x[1] = 0.118
y2[1] (analytic) = 0.11772635191662144080789666796104
y2[1] (numeric) = 0.11772635191662144080789666796107
absolute error = 3e-32
relative error = 2.5482824798008870739516172767680e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.99304607449221801110920772362005
y1[1] (numeric) = 0.99304607449221801110920772362003
absolute error = 2e-32
relative error = 2.0140052424281276048914818951106e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=95.3MB, alloc=4.5MB, time=5.76
x[1] = 0.119
y2[1] (analytic) = 0.11871933896243493496613257736117
y2[1] (numeric) = 0.1187193389624349349661325773612
absolute error = 3e-32
relative error = 2.5269682481547991652855569079698e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.99292785163692657814950288165217
y1[1] (numeric) = 0.99292785163692657814950288165216
absolute error = 1e-32
relative error = 1.0071225198803864548213591876719e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=99.1MB, alloc=4.5MB, time=6.00
x[1] = 0.12
y2[1] (analytic) = 0.11971220728891935996735061427097
y2[1] (numeric) = 0.119712207288919359967350614271
absolute error = 3e-32
relative error = 2.5060100953277485493704713765586e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.99280863585386625224809816785763
y1[1] (numeric) = 0.99280863585386625224809816785762
absolute error = 1e-32
relative error = 1.0072434544648665414102250278741e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=102.9MB, alloc=4.5MB, time=6.23
x[1] = 0.121
y2[1] (analytic) = 0.12070495590320647206615022654028
y2[1] (numeric) = 0.12070495590320647206615022654031
absolute error = 3e-32
relative error = 2.4853991930585729737566257769192e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.9926884272622528065306712264356
y1[1] (numeric) = 0.99268842726225280653067122643559
absolute error = 1e-32
relative error = 1.0073654255826391234225488347859e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=106.8MB, alloc=4.5MB, time=6.46
x[1] = 0.122
y2[1] (analytic) = 0.12169758381254773970446774832719
y2[1] (numeric) = 0.12169758381254773970446774832722
absolute error = 3e-32
relative error = 2.4651270025384696917350998058999e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.99256722598229482259328547427195
y1[1] (numeric) = 0.99256722598229482259328547427194
absolute error = 1e-32
relative error = 1.0074884338542906528092467852338e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=110.6MB, alloc=4.5MB, time=6.69
x[1] = 0.123
y2[1] (analytic) = 0.1226900900243153362600252291201
y2[1] (numeric) = 0.12269009002431533626002522912013
absolute error = 3e-32
relative error = 2.4451852626446398247872951751935e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.99244503213519357029381852225733
y1[1] (numeric) = 0.99244503213519357029381852225732
absolute error = 1e-32
relative error = 1.0076124799058667375836260944151e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=114.4MB, alloc=4.5MB, time=6.93
TOP MAIN SOLVE Loop
memory used=118.2MB, alloc=4.5MB, time=7.16
x[1] = 0.124
y2[1] (analytic) = 0.12368247354600313267407433703294
y2[1] (numeric) = 0.12368247354600313267407433703296
absolute error = 2e-32
relative error = 1.6170439858288483451141645179909e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.99232184584314288655070241751501
y1[1] (numeric) = 0.992321845843142886550702417515
absolute error = 1e-32
relative error = 1.0077375643688799787456540909005e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=122.0MB, alloc=4.5MB, time=7.40
x[1] = 0.125
y2[1] (analytic) = 0.12467473338522768995744270871211
y2[1] (numeric) = 0.12467473338522768995744270871213
absolute error = 2e-32
relative error = 1.6041742746866572385064010529927e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.99219766722932905314909690778825
y1[1] (numeric) = 0.99219766722932905314909690778824
absolute error = 1e-32
relative error = 1.0078636878803178789928053359720e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=125.8MB, alloc=4.5MB, time=7.63
x[1] = 0.126
y2[1] (analytic) = 0.12566686854972925157389023989174
y2[1] (numeric) = 0.12566686854972925157389023989176
absolute error = 2e-32
relative error = 1.5915093795852438996711327343762e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.9920724964179306735546179218037
y1[1] (numeric) = 0.99207249641793067355461792180369
absolute error = 1e-32
relative error = 1.0079908510826508234032678713900e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=129.7MB, alloc=4.5MB, time=7.87
x[1] = 0.127
y2[1] (analytic) = 0.12665887804737273569978293332346
y2[1] (numeric) = 0.12665887804737273569978293332349
absolute error = 3e-32
relative error = 2.3685666936651255984889845433167e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.99194633353411854873474445187208
y1[1] (numeric) = 0.99194633353411854873474445187207
absolute error = 1e-32
relative error = 1.0081190546238401322790836307790e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=133.5MB, alloc=4.5MB, time=8.10
x[1] = 0.128
y2[1] (analytic) = 0.12765076088614872735909204448972
y2[1] (numeric) = 0.12765076088614872735909204448974
absolute error = 2e-32
relative error = 1.5667748363707703165401616468333e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.9918191787040555519880280173089
y1[1] (numeric) = 0.99181917870405555198802801730889
absolute error = 1e-32
relative error = 1.0082482991573461863385991383886e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=137.3MB, alloc=4.5MB, time=8.33
memory used=141.1MB, alloc=4.5MB, time=8.57
x[1] = 0.129
y2[1] (analytic) = 0.12864251607417447043272639018397
y2[1] (numeric) = 0.12864251607417447043272639018399
absolute error = 2e-32
relative error = 1.5546959598075744297272131568719e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.99169103205489650278122987945538
y1[1] (numeric) = 0.99169103205489650278122987945538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=144.9MB, alloc=4.5MB, time=8.81
x[1] = 0.13
y2[1] (analytic) = 0.12963414261969485954120581070831
y2[1] (numeric) = 0.12963414261969485954120581070834
absolute error = 3e-32
relative error = 2.3142051464027043651080784631679e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.99156189371478803959451217115181
y1[1] (numeric) = 0.99156189371478803959451217115181
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=148.7MB, alloc=4.5MB, time=9.04
x[1] = 0.131
y2[1] (analytic) = 0.13062563953108343179968390309763
y2[1] (numeric) = 0.13062563953108343179968390309766
absolute error = 3e-32
relative error = 2.2966394735132574302657382733344e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.99143176381286849177481009546157
y1[1] (numeric) = 0.99143176381286849177481009546157
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=152.5MB, alloc=4.5MB, time=9.27
x[1] = 0.132
y2[1] (analytic) = 0.13161700581684335844432827043014
y2[1] (numeric) = 0.13161700581684335844432827043017
absolute error = 3e-32
relative error = 2.2793407139004240084226567699808e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.99130064247926775039751334026303
y1[1] (numeric) = 0.99130064247926775039751334026302
absolute error = 1e-32
relative error = 1.0087757004766736944944587987897e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=156.4MB, alloc=4.5MB, time=9.51
x[1] = 0.133
y2[1] (analytic) = 0.13260824048560843632906666092685
y2[1] (numeric) = 0.13260824048560843632906666092688
absolute error = 3e-32
relative error = 2.2623028471036690624594044292858e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.99116852984510713813658584701707
y1[1] (numeric) = 0.99116852984510713813658584701706
absolute error = 1e-32
relative error = 1.0089101599667142196699075397981e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=160.2MB, alloc=4.5MB, time=9.74
memory used=164.0MB, alloc=4.5MB, time=9.98
x[1] = 0.134
y2[1] (analytic) = 0.13359934254614407929170750017626
y2[1] (numeric) = 0.13359934254614407929170750017629
absolute error = 3e-32
relative error = 2.2455200323787712171921533804707e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.99103542604249927814325406357971
y1[1] (numeric) = 0.9910354260424992781432540635797
absolute error = 1e-32
relative error = 1.0090456644857782184325006083823e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=167.8MB, alloc=4.5MB, time=10.21
x[1] = 0.135
y2[1] (analytic) = 0.13459031100734830938844345044656
y2[1] (numeric) = 0.13459031100734830938844345044659
absolute error = 3e-32
relative error = 2.2289866020416634361258187411509e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.9909013312045479619333948023605
y1[1] (numeric) = 0.99090133120454796193339480236049
absolute error = 1e-32
relative error = 1.0091822147260531177532107153118e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=171.6MB, alloc=4.5MB, time=10.45
x[1] = 0.136
y2[1] (analytic) = 0.13558114487825274799574676266417
y2[1] (numeric) = 0.13558114487825274799574676266421
absolute error = 4e-32
relative error = 2.9502627401412370525616513318783e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.99076624546534801628375481642801
y1[1] (numeric) = 0.990766245465348016283754816428
absolute error = 1e-32
relative error = 1.0093198113852930344593646476510e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=175.4MB, alloc=4.5MB, time=10.68
x[1] = 0.137
y2[1] (analytic) = 0.13657184316802360677866531924609
y2[1] (numeric) = 0.13657184316802360677866531924613
absolute error = 4e-32
relative error = 2.9288614015985867859203487897751e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.99063016895998516913713519733158
y1[1] (numeric) = 0.99063016895998516913713519733157
absolute error = 1e-32
relative error = 1.0094584551668275603936199092155e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=179.2MB, alloc=4.5MB, time=10.91
x[1] = 0.138
y2[1] (analytic) = 0.13756240488596267852452839957234
y2[1] (numeric) = 0.13756240488596267852452839957238
absolute error = 4e-32
relative error = 2.9077712063233733070646618948586e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.99049310182453591451667468944385
y1[1] (numeric) = 0.99049310182453591451667468944384
absolute error = 1e-32
relative error = 1.0095981467795706219166959869415e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=183.1MB, alloc=4.5MB, time=11.15
x[1] = 0.139
y2[1] (analytic) = 0.13855282904150832784107133447554
y2[1] (numeric) = 0.13855282904150832784107133447558
absolute error = 4e-32
relative error = 2.8869854391797807457119937484372e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.99035504419606737644936700652949
y1[1] (numeric) = 0.99035504419606737644936700652948
absolute error = 1e-32
relative error = 1.0097388869380294139635406927797e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=186.9MB, alloc=4.5MB, time=11.38
TOP MAIN SOLVE Loop
memory used=190.7MB, alloc=4.5MB, time=11.62
x[1] = 0.14
y2[1] (analytic) = 0.13954311464423648171798835170537
y2[1] (numeric) = 0.13954311464423648171798835170541
absolute error = 4e-32
relative error = 2.8664975768943904047348344728184e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.9902159962126371718989482270114
y1[1] (numeric) = 0.99021599621263717189894822701139
absolute error = 1e-32
relative error = 1.0098806763623134088645046107846e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=194.5MB, alloc=4.5MB, time=11.85
x[1] = 0.141
y2[1] (analytic) = 0.14053326070386161995092305089768
y2[1] (numeric) = 0.14053326070386161995092305089772
absolute error = 4e-32
relative error = 2.8463012812525502454663909326840e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.99007595801329327270829133503572
y1[1] (numeric) = 0.99007595801329327270829133503571
absolute error = 1e-32
relative error = 1.0100235157781434401449973833090e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=198.3MB, alloc=4.5MB, time=12.08
x[1] = 0.142
y2[1] (analytic) = 0.14152326623023776542690608414029
y2[1] (numeric) = 0.14152326623023776542690608414033
absolute error = 4e-32
relative error = 2.8263903925822217230896398122439e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98993492973807386655144596492939
y1[1] (numeric) = 0.98993492973807386655144596492938
absolute error = 1e-32
relative error = 1.0101674059168608615190084776355e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=202.1MB, alloc=4.5MB, time=12.32
x[1] = 0.143
y2[1] (analytic) = 0.14251313023335947427024975678031
y2[1] (numeric) = 0.14251313023335947427024975678035
absolute error = 4e-32
relative error = 2.8067589235112316542769556155696e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98979291152800721689546239699913
y1[1] (numeric) = 0.98979291152800721689546239699913
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=205.9MB, alloc=4.5MB, time=12.55
x[1] = 0.144
y2[1] (analytic) = 0.14350285172336282584790940266096
y2[1] (numeric) = 0.143502851723362825847909402661
absolute error = 4e-32
relative error = 2.7874010529846385946826490766625e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98964990352511152197213984283608
y1[1] (numeric) = 0.98964990352511152197213984283608
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=209.8MB, alloc=4.5MB, time=12.78
memory used=213.6MB, alloc=4.5MB, time=13.02
x[1] = 0.145
y2[1] (analytic) = 0.14449242971052641263332152850892
y2[1] (numeric) = 0.14449242971052641263332152850896
absolute error = 4e-32
relative error = 2.7683111205296564740920274489173e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98950590587239477275984004836598
y1[1] (numeric) = 0.98950590587239477275984004836598
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=217.4MB, alloc=4.5MB, time=13.25
x[1] = 0.146
y2[1] (analytic) = 0.14548186320527232992772886371659
y2[1] (numeric) = 0.14548186320527232992772886371663
absolute error = 4e-32
relative error = 2.7494836207562663056441142687637e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98936091871385460997550823281966
y1[1] (numeric) = 0.98936091871385460997550823281966
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=221.2MB, alloc=4.5MB, time=13.49
x[1] = 0.147
y2[1] (analytic) = 0.14647115121816716543800259427676
y2[1] (numeric) = 0.1464711512181671654380025942768
absolute error = 4e-32
relative error = 2.7309131980822927275088846228469e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98921494219447818007704437159081
y1[1] (numeric) = 0.98921494219447818007704437159081
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=225.0MB, alloc=4.5MB, time=13.72
x[1] = 0.148
y2[1] (analytic) = 0.14746029275992298870997220312979
y2[1] (numeric) = 0.14746029275992298870997220312982
absolute error = 3e-32
relative error = 2.0344459812542465978317799765866e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98906797646024199027616882059779
y1[1] (numeric) = 0.98906797646024199027616882059779
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=228.8MB, alloc=4.5MB, time=13.96
x[1] = 0.149
y2[1] (analytic) = 0.14844928684139834041627348367598
y2[1] (numeric) = 0.14844928684139834041627348367601
absolute error = 3e-32
relative error = 2.0208921604353468567672441188698e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98892002165811176256192726927181
y1[1] (numeric) = 0.98892002165811176256192726927181
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=232.7MB, alloc=4.5MB, time=14.19
x[1] = 0.15
y2[1] (analytic) = 0.14943813247359922149772543868764
y2[1] (numeric) = 0.14943813247359922149772543868767
absolute error = 3e-32
relative error = 2.0075197343154705432671799057549e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98877107793604228673498099865434
y1[1] (numeric) = 0.98877107793604228673498099865433
absolute error = 1e-32
relative error = 1.0113564426736640909001707623026e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=236.5MB, alloc=4.5MB, time=14.43
TOP MAIN SOLVE Loop
memory used=240.3MB, alloc=4.5MB, time=14.66
x[1] = 0.151
y2[1] (analytic) = 0.1504268286676800821572469233262
y2[1] (numeric) = 0.15042682866768008215724692332623
absolute error = 3e-32
relative error = 1.9943250991666782599453113627838e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98862114544297727245282941030121
y1[1] (numeric) = 0.9886211454429772724528294103012
absolute error = 1e-32
relative error = 1.0115098231607459068428168850929e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=244.1MB, alloc=4.5MB, time=14.90
x[1] = 0.152
y2[1] (analytic) = 0.15141537443494481070532403843028
y2[1] (numeric) = 0.15141537443494481070532403843032
absolute error = 4e-32
relative error = 2.6417396614625740911382876042344e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98847022432884920028611278075862
y1[1] (numeric) = 0.98847022432884920028611278075861
absolute error = 1e-32
relative error = 1.0116642619953264434243559168126e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=247.9MB, alloc=4.5MB, time=15.13
x[1] = 0.153
y2[1] (analytic) = 0.15240376878684772225603942868975
y2[1] (numeric) = 0.15240376878684772225603942868978
absolute error = 3e-32
relative error = 1.9684552579508760171758263767710e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98831831474457917178614418529584
y1[1] (numeric) = 0.98831831474457917178614418529583
absolute error = 1e-32
relative error = 1.0118197599711989968484884781582e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=251.7MB, alloc=4.5MB, time=15.37
x[1] = 0.154
y2[1] (analytic) = 0.15339201073499454727267478975868
y2[1] (numeric) = 0.15339201073499454727267478975871
absolute error = 3e-32
relative error = 1.9557733063313876918685621005562e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98816541684207675856382052335014
y1[1] (numeric) = 0.98816541684207675856382052335013
absolute error = 1e-32
relative error = 1.0119763178878932375929380206807e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=255.5MB, alloc=4.5MB, time=15.61
x[1] = 0.155
y2[1] (analytic) = 0.15438009929114341996189803878732
y2[1] (numeric) = 0.15438009929114341996189803878736
absolute error = 4e-32
relative error = 2.5910075316485268356306218432037e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98801153077423985038006356676048
y1[1] (numeric) = 0.98801153077423985038006356676047
absolute error = 1e-32
relative error = 1.0121339365506853674070105333455e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=259.4MB, alloc=4.5MB, time=15.84
memory used=263.2MB, alloc=4.6MB, time=16.08
x[1] = 0.156
y2[1] (analytic) = 0.15536803346720586651554675426811
y2[1] (numeric) = 0.15536803346720586651554675426815
absolute error = 4e-32
relative error = 2.5745321677411174259917564016792e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98785665669495450224794294033609
y1[1] (numeric) = 0.98785665669495450224794294033608
absolute error = 1e-32
relative error = 1.0122926167706083547235968765122e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=267.0MB, alloc=4.6MB, time=16.31
x[1] = 0.157
y2[1] (analytic) = 0.15635581227524779319901964349465
y2[1] (numeric) = 0.15635581227524779319901964349469
absolute error = 4e-32
relative error = 2.5582675448984429427799567573079e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98770079475909478054663393262434
y1[1] (numeric) = 0.98770079475909478054663393262434
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=270.8MB, alloc=4.6MB, time=16.55
x[1] = 0.158
y2[1] (analytic) = 0.15734343472749047428528794932464
y2[1] (numeric) = 0.15734343472749047428528794932468
absolute error = 4e-32
relative error = 2.5422096618951807505055052777335e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98754394512252260814736402290726
y1[1] (numeric) = 0.98754394512252260814736402290726
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=274.6MB, alloc=4.6MB, time=16.79
x[1] = 0.159
y2[1] (analytic) = 0.15833089983631153983353886231754
y2[1] (numeric) = 0.15833089983631153983353886231758
absolute error = 4e-32
relative error = 2.5263546181669850754475700812186e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98738610794208760855150299846715
y1[1] (numeric) = 0.98738610794208760855150299846715
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=278.4MB, alloc=4.6MB, time=17.02
x[1] = 0.16
y2[1] (analytic) = 0.15931820661424596331146315968599
y2[1] (numeric) = 0.15931820661424596331146315968603
absolute error = 4e-32
relative error = 2.5106986106648320739151935355573e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98722728337562694904095252401834
y1[1] (numeric) = 0.98722728337562694904095252401834
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=282.2MB, alloc=4.6MB, time=17.25
memory used=286.1MB, alloc=4.6MB, time=17.49
x[1] = 0.161
y2[1] (analytic) = 0.16030535407398704906019944885553
y2[1] (numeric) = 0.16030535407398704906019944885557
absolute error = 4e-32
relative error = 2.4952379308265942807815527499195e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98706747158196518284099201290235
y1[1] (numeric) = 0.98706747158196518284099201290235
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=289.9MB, alloc=4.6MB, time=17.72
x[1] = 0.162
y2[1] (analytic) = 0.16129234122838741960094755077078
y2[1] (numeric) = 0.16129234122838741960094755077083
absolute error = 5e-32
relative error = 3.0999612020759737140576118841411e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98690667272091409029573863718748
y1[1] (numeric) = 0.98690667272091409029573863718748
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=293.7MB, alloc=4.6MB, time=17.96
x[1] = 0.163
y2[1] (analytic) = 0.16227916709046000278226371641693
y2[1] (numeric) = 0.16227916709046000278226371641698
absolute error = 5e-32
relative error = 3.0811102186720169758233241157470e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98674488695327251905638030119956
y1[1] (numeric) = 0.98674488695327251905638030119956
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=297.5MB, alloc=4.6MB, time=18.19
x[1] = 0.164
y2[1] (analytic) = 0.1632658306733790187670505293435
y2[1] (numeric) = 0.16326583067337901876705052934355
absolute error = 5e-32
relative error = 3.0624901606036203697306847941525e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98658211444082622328234139023756
y1[1] (numeric) = 0.98658211444082622328234139023756
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=301.3MB, alloc=4.6MB, time=18.42
x[1] = 0.165
y2[1] (analytic) = 0.16425233099048096685825450728289
y2[1] (numeric) = 0.16425233099048096685825450728294
absolute error = 5e-32
relative error = 3.0440968294628151037097848810189e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98641835534634770185554209329493
y1[1] (numeric) = 0.98641835534634770185554209329493
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=305.1MB, alloc=4.6MB, time=18.66
x[1] = 0.166
y2[1] (analytic) = 0.16523866705526561216228457724819
y2[1] (numeric) = 0.16523866705526561216228457724824
absolute error = 5e-32
relative error = 3.0259261280095556579241856402078e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98625360983359603560791308551389
y1[1] (numeric) = 0.98625360983359603560791308551389
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=308.9MB, alloc=4.6MB, time=18.89
memory used=312.8MB, alloc=4.6MB, time=19.13
x[1] = 0.167
y2[1] (analytic) = 0.16622483788139697208916476077408
y2[1] (numeric) = 0.16622483788139697208916476077413
absolute error = 5e-32
relative error = 3.0079740571427407921695119892411e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98608787806731672356232834284434
y1[1] (numeric) = 0.98608787806731672356232834284434
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=316.6MB, alloc=4.6MB, time=19.36
x[1] = 0.168
y2[1] (analytic) = 0.16721084248270430268843456923034
y2[1] (numeric) = 0.16721084248270430268843456923039
absolute error = 5e-32
relative error = 2.9902367129794123791800299871764e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98592116021324151818711984796102
y1[1] (numeric) = 0.98592116021324151818711984796102
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=320.4MB, alloc=4.6MB, time=19.60
x[1] = 0.169
y2[1] (analytic) = 0.16819667987318308481981077338977
y2[1] (numeric) = 0.16819667987318308481981077338982
absolute error = 5e-32
relative error = 2.9727102840376513254963121267443e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98575345643808825966433893291046
y1[1] (numeric) = 0.98575345643808825966433893291046
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=324.2MB, alloc=4.6MB, time=19.83
x[1] = 0.17
y2[1] (analytic) = 0.16918234906699601015762437667085
y2[1] (numeric) = 0.1691823490669960101576243766709
absolute error = 5e-32
relative error = 2.9553910485189006998222702989205e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.9855847669095607091719299902125
y1[1] (numeric) = 0.98558476690956070917192999021251
absolute error = 1e-32
relative error = 1.0146260713176810517259565757587e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=328.0MB, alloc=4.6MB, time=20.07
x[1] = 0.171
y2[1] (analytic) = 0.1701678490784739670280467877005
y2[1] (numeric) = 0.17016784907847396702804678770055
absolute error = 5e-32
relative error = 2.9382753716856459492710558963929e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98541509179634838117998327022891
y1[1] (numeric) = 0.98541509179634838117998327022891
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=331.8MB, alloc=4.6MB, time=20.30
memory used=335.6MB, alloc=4.6MB, time=20.54
x[1] = 0.172
y2[1] (analytic) = 0.17115317892211702607811935505273
y2[1] (numeric) = 0.17115317892211702607811935505278
absolute error = 5e-32
relative error = 2.9213597033305713917877497864678e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98524443126812637476123446853214
y1[1] (numeric) = 0.98524443126812637476123446853214
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=339.5MB, alloc=4.6MB, time=20.78
x[1] = 0.173
y2[1] (analytic) = 0.17213833761259542577560059521592
y2[1] (numeric) = 0.17213833761259542577560059521597
absolute error = 5e-32
relative error = 2.9046405753334916325379291744553e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98507278549555520391597979276082
y1[1] (numeric) = 0.98507278549555520391597979276082
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=343.3MB, alloc=4.6MB, time=21.01
x[1] = 0.174
y2[1] (analytic) = 0.17312332416475055773864561402361
y2[1] (numeric) = 0.17312332416475055773864561402366
absolute error = 5e-32
relative error = 2.8881145993025267291643714528634e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98490015465028062691157618403252
y1[1] (numeric) = 0.98490015465028062691157618403252
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=347.1MB, alloc=4.6MB, time=21.24
x[1] = 0.175
y2[1] (analytic) = 0.17410813759359595189433239195141
y2[1] (numeric) = 0.17410813759359595189433239195146
absolute error = 5e-32
relative error = 2.8717784642961513559615079167125e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98472653890493347463669735339954
y1[1] (numeric) = 0.98472653890493347463669735339955
absolute error = 1e-32
relative error = 1.0155103579436900310860316496696e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=350.9MB, alloc=4.6MB, time=21.47
x[1] = 0.176
y2[1] (analytic) = 0.17509277691431826146504977483591
y2[1] (numeric) = 0.17509277691431826146504977483596
absolute error = 5e-32
relative error = 2.8556289346229013874695579649332e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98455193843312947797051727907732
y1[1] (numeric) = 0.98455193843312947797051727907733
absolute error = 1e-32
relative error = 1.0156904485825861288648277975906e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=354.7MB, alloc=4.6MB, time=21.71
x[1] = 0.177
y2[1] (analytic) = 0.17607724114227824778176218370968
y2[1] (numeric) = 0.17607724114227824778176218370973
absolute error = 5e-32
relative error = 2.8396628477156667041145082348994e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98437635340946909416699379524751
y1[1] (numeric) = 0.98437635340946909416699379524752
absolute error = 1e-32
relative error = 1.0158716191590920594909590187708e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=358.5MB, alloc=4.6MB, time=21.94
TOP MAIN SOLVE Loop
memory used=362.4MB, alloc=4.6MB, time=22.18
x[1] = 0.178
y2[1] (analytic) = 0.17706152929301176492316623056969
y2[1] (numeric) = 0.17706152929301176492316623056975
absolute error = 6e-32
relative error = 3.3886525344931644646353271200804e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98419978400953733225442588813777
y1[1] (numeric) = 0.98419978400953733225442588813778
absolute error = 1e-32
relative error = 1.0160538706136411391933024975140e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=366.2MB, alloc=4.6MB, time=22.41
x[1] = 0.179
y2[1] (analytic) = 0.17804564038223074417975460100464
y2[1] (numeric) = 0.17804564038223074417975460100469
absolute error = 5e-32
relative error = 2.8082687052970988950786659401376e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98402223040990357745045929980641
y1[1] (numeric) = 0.98402223040990357745045929980641
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=370.0MB, alloc=4.6MB, time=22.65
x[1] = 0.18
y2[1] (analytic) = 0.17902957342582417834180273969921
y2[1] (numeric) = 0.17902957342582417834180273969926
absolute error = 5e-32
relative error = 2.7928346721284056824311567640715e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98384369278812141459271602461153
y1[1] (numeric) = 0.98384369278812141459271602461154
absolute error = 1e-32
relative error = 1.0164216199486862747130581631310e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=373.8MB, alloc=4.6MB, time=22.88
x[1] = 0.181
y2[1] (analytic) = 0.18001332743985910581029405091082
y2[1] (numeric) = 0.18001332743985910581029405091087
absolute error = 5e-32
relative error = 2.7775721226365624019241711735312e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98366417132272845058522426772069
y1[1] (numeric) = 0.98366417132272845058522426772069
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=377.6MB, alloc=4.6MB, time=23.12
x[1] = 0.182
y2[1] (analytic) = 0.18099690144058159452979950307546
y2[1] (numeric) = 0.18099690144058159452979950307551
absolute error = 5e-32
relative error = 2.7624782304029776531654387248195e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98348366619324613586082641921602
y1[1] (numeric) = 0.98348366619324613586082641921602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=381.4MB, alloc=4.6MB, time=23.35
memory used=385.2MB, alloc=4.6MB, time=23.59
x[1] = 0.183
y2[1] (analytic) = 0.18198029444441772574232770474512
y2[1] (numeric) = 0.18198029444441772574232770474517
absolute error = 5e-32
relative error = 2.7475502307900435366341437073610e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98330217758017958485974358137227
y1[1] (numeric) = 0.98330217758017958485974358137228
absolute error = 1e-32
relative error = 1.0169813743938941451098394484078e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=389.1MB, alloc=4.6MB, time=23.82
x[1] = 0.184
y2[1] (analytic) = 0.18296350546797457756116169808868
y2[1] (numeric) = 0.18296350546797457756116169808873
absolute error = 5e-32
relative error = 2.7327854192623053316311387016763e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98311970566501739552447617052807
y1[1] (numeric) = 0.98311970566501739552447617052808
absolute error = 1e-32
relative error = 1.0171701312034674033329241399744e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=392.9MB, alloc=4.6MB, time=24.06
x[1] = 0.185
y2[1] (analytic) = 0.18394653352804120836369889620145
y2[1] (numeric) = 0.1839465335280412083636988962015
absolute error = 5e-32
relative error = 2.7181811497620797295929628809550e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98293625063023146781122109863481
y1[1] (numeric) = 0.98293625063023146781122109863481
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=396.7MB, alloc=4.6MB, time=24.29
x[1] = 0.186
y2[1] (analytic) = 0.18492937764158964000231077146534
y2[1] (numeric) = 0.18492937764158964000231077146539
absolute error = 5e-32
relative error = 2.7037348331374724835936761169047e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98275181265927682121798702305087
y1[1] (numeric) = 0.98275181265927682121798702305088
absolute error = 1e-32
relative error = 1.0175509087020154702940004460262e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=400.5MB, alloc=4.6MB, time=24.53
x[1] = 0.187
y2[1] (analytic) = 0.18591203682577584083223908418196
y2[1] (numeric) = 0.18591203682577584083223908418201
absolute error = 5e-32
relative error = 2.6894439356208339985666098852970e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98256639193659141132959013645082
y1[1] (numeric) = 0.98256639193659141132959013645083
absolute error = 1e-32
relative error = 1.0177429313748944538576970335856e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=404.3MB, alloc=4.6MB, time=24.76
x[1] = 0.188
y2[1] (analytic) = 0.18689451009794070855554562366427
y2[1] (numeric) = 0.18689451009794070855554562366432
absolute error = 5e-32
relative error = 2.6753059773557748538193492962713e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98237998864759594537971395183828
y1[1] (numeric) = 0.98237998864759594537971395183828
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
memory used=408.1MB, alloc=4.6MB, time=25.00
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=411.9MB, alloc=4.6MB, time=25.23
x[1] = 0.189
y2[1] (analytic) = 0.18787679647561105288013261791901
y2[1] (numeric) = 0.18787679647561105288013261791905
absolute error = 4e-32
relative error = 2.1290548247767541934683710290399e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98219260297869369683021752058749
y1[1] (numeric) = 0.98219260297869369683021752058749
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=415.8MB, alloc=4.6MB, time=25.47
x[1] = 0.19
y2[1] (analytic) = 0.18885889497650057799285115298131
y2[1] (numeric) = 0.18885889497650057799285115298135
absolute error = 4e-32
relative error = 2.1179833761590704274770212663126e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98200423511727031896787750418991
y1[1] (numeric) = 0.98200423511727031896787750418992
absolute error = 1e-32
relative error = 1.0183255471200494754242006144117e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=419.6MB, alloc=4.6MB, time=25.70
x[1] = 0.191
y2[1] (analytic) = 0.18984080461851086484571512887505
y2[1] (numeric) = 0.1898408046185108648457151288751
absolute error = 5e-32
relative error = 2.6337857185380173453582594735157e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98181488525169365751875050294814
y1[1] (numeric) = 0.98181488525169365751875050294814
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=423.4MB, alloc=4.6MB, time=25.94
x[1] = 0.192
y2[1] (analytic) = 0.19082252441973235325423846606677
y2[1] (numeric) = 0.19082252441973235325423846606682
absolute error = 5e-32
relative error = 2.6202357479571032370847657268204e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98162455357131356228034302723921
y1[1] (numeric) = 0.98162455357131356228034302723921
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=427.2MB, alloc=4.6MB, time=26.17
x[1] = 0.193
y2[1] (analytic) = 0.19180405339844532380691346415776
y2[1] (numeric) = 0.19180405339844532380691346415781
absolute error = 5e-32
relative error = 2.6068270776390837838106857765799e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98143324026646169777177747916177
y1[1] (numeric) = 0.98143324026646169777177747916177
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=431.0MB, alloc=4.6MB, time=26.41
memory used=434.8MB, alloc=4.6MB, time=26.64
x[1] = 0.194
y2[1] (analytic) = 0.1927853905731208795848484034179
y2[1] (numeric) = 0.19278539057312087958484840341795
absolute error = 5e-32
relative error = 2.5935575227644482359339519489016e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98124094552845135290214349438516
y1[1] (numeric) = 0.98124094552845135290214349438516
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=438.6MB, alloc=4.6MB, time=26.88
x[1] = 0.195
y2[1] (analytic) = 0.19376653496242192769058266960535
y2[1] (numeric) = 0.1937665349624219276905826696054
absolute error = 5e-32
relative error = 2.5804249433317646677716829163615e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98104766954957724965722497583334
y1[1] (numeric) = 0.98104766954957724965722497583334
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=442.5MB, alloc=4.6MB, time=27.12
x[1] = 0.196
y2[1] (analytic) = 0.19474748558520416058509787333882
y2[1] (numeric) = 0.19474748558520416058509787333887
absolute error = 5e-32
relative error = 2.5674272430143623954294863762027e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98085341252311535080479413246059
y1[1] (numeric) = 0.98085341252311535080479413246059
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=446.3MB, alloc=4.6MB, time=27.35
x[1] = 0.197
y2[1] (analytic) = 0.19572824146051703723204362709306
y2[1] (numeric) = 0.19572824146051703723204362709311
absolute error = 5e-32
relative error = 2.5545623680518362541269401604753e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98065817464332266661866481780904
y1[1] (numeric) = 0.98065817464332266661866481780903
absolute error = 1e-32
relative error = 1.0197233101775878134712231934977e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=450.1MB, alloc=4.6MB, time=27.59
x[1] = 0.198
y2[1] (analytic) = 0.19670880160760476404819683567353
y2[1] (numeric) = 0.19670880160760476404819683567358
absolute error = 5e-32
relative error = 2.5418283061751416591442963873590e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.9804619561054370606216984442784
y1[1] (numeric) = 0.9804619561054370606216984442784
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=453.9MB, alloc=4.6MB, time=27.82
memory used=457.7MB, alloc=4.6MB, time=28.06
x[1] = 0.199
y2[1] (analytic) = 0.1976891650459072756591735497928
y2[1] (numeric) = 0.19768916504590727565917354979285
absolute error = 5e-32
relative error = 2.5292230855640988650413057475668e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98026475710567705434795673008606
y1[1] (numeric) = 0.98026475710567705434795673008605
absolute error = 1e-32
relative error = 1.0201325639336387930542160760853e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=461.5MB, alloc=4.6MB, time=28.29
x[1] = 0.2
y2[1] (analytic) = 0.19866933079506121545941262711839
y2[1] (numeric) = 0.19866933079506121545941262711844
absolute error = 5e-32
relative error = 2.5167447738361721012130481837629e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.98006657784124163112419651674817
y1[1] (numeric) = 0.98006657784124163112419651674816
absolute error = 1e-32
relative error = 1.0203388449411926897924327768492e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=465.4MB, alloc=4.6MB, time=28.52
x[1] = 0.201
y2[1] (analytic) = 0.19964929787490091597545064089029
y2[1] (numeric) = 0.19964929787490091597545064089034
absolute error = 5e-32
relative error = 2.5043914770654344089893772546519e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97986741851031003887090287557097
y1[1] (numeric) = 0.97986741851031003887090287557096
absolute error = 1e-32
relative error = 1.0205462301423364743683220232069e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=469.2MB, alloc=4.6MB, time=28.76
x[1] = 0.202
y2[1] (analytic) = 0.20062906530545937903150767291479
y2[1] (numeric) = 0.20062906530545937903150767291485
absolute error = 6e-32
relative error = 2.9905936065968065693439906962999e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97966727931204159192305770210243
y1[1] (numeric) = 0.97966727931204159192305770210242
absolute error = 1e-32
relative error = 1.0207547206253910946566144738978e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=473.0MB, alloc=4.6MB, time=28.99
x[1] = 0.203
y2[1] (analytic) = 0.20160863210696925571640382543065
y2[1] (numeric) = 0.20160863210696925571640382543071
absolute error = 6e-32
relative error = 2.9760630471499491692462707270234e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97946616044657547187084197775936
y1[1] (numeric) = 0.97946616044657547187084197775935
absolute error = 1e-32
relative error = 1.0209643174850087502316977408038e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=476.8MB, alloc=4.6MB, time=29.23
x[1] = 0.204
y2[1] (analytic) = 0.20258799729986382615082648501258
y2[1] (numeric) = 0.20258799729986382615082648501264
absolute error = 6e-32
relative error = 2.9616759531508696286151854503810e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97926406211503052742047085791098
y1[1] (numeric) = 0.97926406211503052742047085791097
absolute error = 1e-32
relative error = 1.0211750218221872198667318869741e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=480.6MB, alloc=4.6MB, time=29.47
TOP MAIN SOLVE Loop
memory used=484.4MB, alloc=4.6MB, time=29.70
x[1] = 0.205
y2[1] (analytic) = 0.20356715990477797905396857132664
y2[1] (numeric) = 0.2035671599047779790539685713267
absolute error = 6e-32
relative error = 2.9474302253893027866527504965771e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97906098451950507327536172556728
y1[1] (numeric) = 0.97906098451950507327536172556727
absolute error = 1e-32
relative error = 1.0213868347442842820643752835181e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=488.2MB, alloc=4.6MB, time=29.93
x[1] = 0.206
y2[1] (analytic) = 0.20454611894254919110855820418075
y2[1] (numeric) = 0.20454611894254919110855820418081
absolute error = 6e-32
relative error = 2.9333238054177983467961801486221e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.9788569278630766880378363294873
y1[1] (numeric) = 0.97885692786307668803783632948729
absolute error = 1e-32
relative error = 1.0215997573650322289777602930288e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=492.1MB, alloc=4.6MB, time=30.17
x[1] = 0.207
y2[1] (analytic) = 0.20552487343421850612330042392233
y2[1] (numeric) = 0.20552487343421850612330042392239
absolute error = 6e-32
relative error = 2.9193546745671127327026468641512e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97865189234980201113155910498837
y1[1] (numeric) = 0.97865189234980201113155910498837
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=495.9MB, alloc=4.6MB, time=30.40
x[1] = 0.208
y2[1] (analytic) = 0.20650342240103151399175180282299
y2[1] (numeric) = 0.20650342240103151399175180282305
absolute error = 6e-32
relative error = 2.9055208529900031070226668496727e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97844587818471653874491475500107
y1[1] (numeric) = 0.97844587818471653874491475500106
absolute error = 1e-32
relative error = 1.0220289361893702539671306987524e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=499.7MB, alloc=4.6MB, time=30.64
x[1] = 0.209
y2[1] (analytic) = 0.20748176486443932944664898865714
y2[1] (numeric) = 0.2074817648644393294466489886572
absolute error = 6e-32
relative error = 2.8918203987324722843572920053212e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97823888557383441879552914797525
y1[1] (numeric) = 0.97823888557383441879552914797525
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=503.5MB, alloc=4.6MB, time=30.87
memory used=507.3MB, alloc=4.6MB, time=31.11
x[1] = 0.21
y2[1] (analytic) = 0.20845989984609957060871242622764
y2[1] (numeric) = 0.2084598998460995706087124262277
absolute error = 6e-32
relative error = 2.8782514068315495085983108012333e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97803091472414824491613856809935
y1[1] (numeric) = 0.97803091472414824491613856809934
absolute error = 1e-32
relative error = 1.0224625673331073524464086165795e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=511.1MB, alloc=4.6MB, time=31.34
x[1] = 0.211
y2[1] (analytic) = 0.20943782636787733732894670811626
y2[1] (numeric) = 0.20943782636787733732894670811632
absolute error = 6e-32
relative error = 2.8648120084387267579237056876084e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97782196584362884946201333194623
y1[1] (numeric) = 0.97782196584362884946201333194622
absolute error = 1e-32
relative error = 1.0226810553772299008291453097415e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=514.9MB, alloc=4.6MB, time=31.58
x[1] = 0.212
y2[1] (analytic) = 0.21041554345184618932345921244009
y2[1] (numeric) = 0.21041554345184618932345921244015
absolute error = 6e-32
relative error = 2.8515003699682034609745210268973e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97761203914122509554014276410505
y1[1] (numeric) = 0.97761203914122509554014276410505
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=518.8MB, alloc=4.6MB, time=31.81
x[1] = 0.213
y2[1] (analytic) = 0.2113930501202891240998188928769
y2[1] (numeric) = 0.21139305012028912409981889287695
absolute error = 5e-32
relative error = 2.3652622435576036036004180859693e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97740113482686366806038950259663
y1[1] (numeric) = 0.97740113482686366806038950259662
absolute error = 1e-32
relative error = 1.0231213821714453843335760579166e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=522.6MB, alloc=4.6MB, time=32.04
x[1] = 0.214
y2[1] (analytic) = 0.21237034539569955467397729468196
y2[1] (numeric) = 0.21237034539569955467397729468202
absolute error = 6e-32
relative error = 2.8252532098210254498225507640244e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97718925311144886380882208290055
y1[1] (numeric) = 0.97718925311144886380882208290055
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=526.4MB, alloc=4.6MB, time=32.28
x[1] = 0.215
y2[1] (analytic) = 0.21334742830078228707677407985706
y2[1] (numeric) = 0.21334742830078228707677407985712
absolute error = 6e-32
relative error = 2.8123141899517331231565278462172e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97697639420686238054343572724421
y1[1] (numeric) = 0.97697639420686238054343572724421
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=530.2MB, alloc=4.6MB, time=32.52
TOP MAIN SOLVE Loop
memory used=534.0MB, alloc=4.6MB, time=32.76
x[1] = 0.216
y2[1] (analytic) = 0.21432429785845449764904955504731
y2[1] (numeric) = 0.21432429785845449764904955504736
absolute error = 5e-32
relative error = 2.3329132767308230338683587696005e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97676255832596310511247224341507
y1[1] (numeric) = 0.97676255832596310511247224341507
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=537.8MB, alloc=4.6MB, time=33.00
x[1] = 0.217
y2[1] (analytic) = 0.21530095309184671012438690713494
y2[1] (numeric) = 0.21530095309184671012438690713499
absolute error = 5e-32
relative error = 2.3223306391342428055785476454432e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97654774568258690059555091475888
y1[1] (numeric) = 0.97654774568258690059555091475888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=541.6MB, alloc=4.6MB, time=33.23
x[1] = 0.218
y2[1] (analytic) = 0.21627739302430377249850706386915
y2[1] (numeric) = 0.2162773930243037724985070638692
absolute error = 5e-32
relative error = 2.3118458799982549432751464213592e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97633195649154639246782324021503
y1[1] (numeric) = 0.97633195649154639246782324021504
absolute error = 1e-32
relative error = 1.0242417994731062950624582262842e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=545.5MB, alloc=4.6MB, time=33.46
x[1] = 0.219
y2[1] (analytic) = 0.21725361667938583368433931021855
y2[1] (numeric) = 0.21725361667938583368433931021861
absolute error = 6e-32
relative error = 2.7617491905115481427810280168860e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97611519096863075378736536021661
y1[1] (numeric) = 0.97611519096863075378736536021661
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=549.3MB, alloc=4.6MB, time=33.70
x[1] = 0.22
y2[1] (analytic) = 0.21822962308086931995179100545701
y2[1] (numeric) = 0.21822962308086931995179100545707
absolute error = 6e-32
relative error = 2.7493975910761578254322454743429e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.9758974493306054894060229810447
y1[1] (numeric) = 0.9758974493306054894060229810447
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=553.1MB, alloc=4.6MB, time=33.93
memory used=556.9MB, alloc=4.6MB, time=34.17
x[1] = 0.221
y2[1] (analytic) = 0.21920541125274791115123996129451
y2[1] (numeric) = 0.21920541125274791115123996129456
absolute error = 5e-32
relative error = 2.2809655890451112630654473036541e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97567873179521221920392458677419
y1[1] (numeric) = 0.97567873179521221920392458677419
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=560.7MB, alloc=4.6MB, time=34.40
x[1] = 0.222
y2[1] (analytic) = 0.22018098021923351671977325764203
y2[1] (numeric) = 0.22018098021923351671977325764208
absolute error = 5e-32
relative error = 2.2708591791268780626947750128358e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97545903858116846034787970427966
y1[1] (numeric) = 0.97545903858116846034787970427966
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=564.5MB, alloc=4.6MB, time=34.63
x[1] = 0.223
y2[1] (analytic) = 0.221156329004757251469196489853
y2[1] (numeric) = 0.22115632900475725146919648985305
absolute error = 5e-32
relative error = 2.2608441831626016711826744745465e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97523836990816740857387996288501
y1[1] (numeric) = 0.97523836990816740857387996288501
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=568.4MB, alloc=4.6MB, time=34.87
x[1] = 0.224
y2[1] (analytic) = 0.22213145663397041115483765951328
y2[1] (numeric) = 0.22213145663397041115483765951333
absolute error = 5e-32
relative error = 2.2509193770961629001610403686333e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97501672599687771849392166613751
y1[1] (numeric) = 0.97501672599687771849392166613752
absolute error = 1e-32
relative error = 1.0256234312058378833097624131908e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=572.2MB, alloc=4.6MB, time=35.11
x[1] = 0.225
y2[1] (analytic) = 0.2231063621317454478241701400572
y2[1] (numeric) = 0.22310636213174544782417014005725
absolute error = 5e-32
relative error = 2.2410835586335608079003891057243e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97479410706894328292736956886549
y1[1] (numeric) = 0.9747941070689432829273695688655
absolute error = 1e-32
relative error = 1.0258576582975526802407957225818e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=576.0MB, alloc=4.6MB, time=35.34
memory used=579.8MB, alloc=4.6MB, time=35.58
x[1] = 0.226
y2[1] (analytic) = 0.22408104452317694494427936866789
y2[1] (numeric) = 0.22408104452317694494427936866794
absolute error = 5e-32
relative error = 2.2313355467614506718371546819434e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.9745705133469830112570825281373
y1[1] (numeric) = 0.97457051334698301125708252813731
absolute error = 1e-32
relative error = 1.0260930187244061985416703970041e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=583.6MB, alloc=4.6MB, time=35.82
x[1] = 0.227
y2[1] (analytic) = 0.22505550283358259230719813707651
y2[1] (numeric) = 0.22505550283358259230719813707656
absolute error = 5e-32
relative error = 2.2216741812784078334062357423122e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97434594505459060681052267197768
y1[1] (numeric) = 0.97434594505459060681052267197769
absolute error = 1e-32
relative error = 1.0263295137375175806345868771829e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=587.4MB, alloc=4.6MB, time=36.05
x[1] = 0.228
y2[1] (analytic) = 0.2260297360885041607121355760063
y2[1] (numeric) = 0.22602973608850416071213557600636
absolute error = 6e-32
relative error = 2.6545179868062320502929165659443e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97412040241633434326607070471358
y1[1] (numeric) = 0.97412040241633434326607070471359
absolute error = 1e-32
relative error = 1.0265671445947241766491921447821e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=591.2MB, alloc=4.6MB, time=36.28
x[1] = 0.229
y2[1] (analytic) = 0.22700374331370847642362515111377
y2[1] (numeric) = 0.22700374331370847642362515111383
absolute error = 6e-32
relative error = 2.6431282200083734879599974447961e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97389388565775684008477094261565
y1[1] (numeric) = 0.97389388565775684008477094261566
absolute error = 1e-32
relative error = 1.0268059125605983115642842761920e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=595.1MB, alloc=4.6MB, time=36.51
x[1] = 0.23
y2[1] (analytic) = 0.22797752353518839540461721236007
y2[1] (numeric) = 0.22797752353518839540461721236013
absolute error = 6e-32
relative error = 2.6318383965925914177221340142687e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.9736663950053748369677306480716
y1[1] (numeric) = 0.97366639500537483696773064807161
absolute error = 1e-32
relative error = 1.0270458189064641551739991395066e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=598.9MB, alloc=4.6MB, time=36.75
x[1] = 0.231
y2[1] (analytic) = 0.22895107577916377732354186380137
y2[1] (numeric) = 0.22895107577916377732354186380143
absolute error = 6e-32
relative error = 2.6206472188789094521869972439790e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97343793068667896733939920487326
y1[1] (numeric) = 0.97343793068667896733939920487328
absolute error = 2e-32
relative error = 2.0545737298208293906155630166519e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=602.7MB, alloc=4.6MB, time=36.99
TOP MAIN SOLVE Loop
memory used=606.5MB, alloc=4.6MB, time=37.23
x[1] = 0.232
y2[1] (analytic) = 0.22992439907208245933436814681645
y2[1] (numeric) = 0.2299243990720824593343681468165
absolute error = 5e-32
relative error = 2.1746278429687119762432133130018e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97320849293013353085695365131938
y1[1] (numeric) = 0.9732084929301335308569536513194
absolute error = 2e-32
relative error = 2.0550581037146576294729761161035e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=610.3MB, alloc=4.6MB, time=37.46
x[1] = 0.233
y2[1] (analytic) = 0.23089749244062122962868575679341
y2[1] (numeric) = 0.23089749244062122962868575679347
absolute error = 6e-32
relative error = 2.5985557212333046166284255435585e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97297808196517626494601806172955
y1[1] (numeric) = 0.97297808196517626494601806172957
absolute error = 2e-32
relative error = 2.0555447620777769444000659864397e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=614.1MB, alloc=4.6MB, time=37.70
x[1] = 0.234
y2[1] (analytic) = 0.2318703549116868007588357412751
y2[1] (numeric) = 0.23187035491168680075883574127515
absolute error = 5e-32
relative error = 2.1563774299238753035420026805565e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97274669802221811536294524063099
y1[1] (numeric) = 0.97274669802221811536294524063101
absolute error = 2e-32
relative error = 2.0560337075071919759901371534995e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=617.9MB, alloc=4.6MB, time=37.93
x[1] = 0.235
y2[1] (analytic) = 0.2328429855124167827311168565134
y2[1] (numeric) = 0.23284298551241678273111685651346
absolute error = 6e-32
relative error = 2.5768437845768984550100598248086e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97251434133264300578389016731721
y1[1] (numeric) = 0.97251434133264300578389016731723
absolute error = 2e-32
relative error = 2.0565249426135828691285854870897e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=621.8MB, alloc=4.6MB, time=38.16
x[1] = 0.236
y2[1] (analytic) = 0.23381538327018065586809448930743
y2[1] (numeric) = 0.23381538327018065586809448930749
absolute error = 6e-32
relative error = 2.5661271367533678789263393621021e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97228101212880760642090560168606
y1[1] (numeric) = 0.97228101212880760642090560168608
absolute error = 2e-32
relative error = 2.0570184700213402650641888651241e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=625.6MB, alloc=4.6MB, time=38.40
memory used=629.4MB, alloc=4.6MB, time=38.64
x[1] = 0.237
y2[1] (analytic) = 0.23478754721258074343903928189747
y2[1] (numeric) = 0.23478754721258074343903928189753
absolute error = 6e-32
relative error = 2.5555018020472334806623901118904e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97204671064404110166529123524216
y1[1] (numeric) = 0.97204671064404110166529123524218
absolute error = 2e-32
relative error = 2.0575142923686005052687688307275e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=633.2MB, alloc=4.6MB, time=38.88
x[1] = 0.238
y2[1] (analytic) = 0.23575947636745318405752282955735
y2[1] (numeric) = 0.23575947636745318405752282955741
absolute error = 6e-32
relative error = 2.5449666297393870547206316952574e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97181143711264495675842874389526
y1[1] (numeric) = 0.97181143711264495675842874389528
absolute error = 2e-32
relative error = 2.0580124123072810479872307770368e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=637.0MB, alloc=4.6MB, time=39.11
x[1] = 0.239
y2[1] (analytic) = 0.23673116976286890384519805337042
y2[1] (numeric) = 0.23673116976286890384519805337047
absolute error = 5e-32
relative error = 2.1121004069757467286422912608354e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97157519176989268349033607170002
y1[1] (numeric) = 0.97157519176989268349033607170003
absolute error = 1e-32
relative error = 1.0292564162515580491931700864721e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=640.8MB, alloc=4.6MB, time=39.34
x[1] = 0.24
y2[1] (analytic) = 0.23770262642713458836079208448982
y2[1] (numeric) = 0.23770262642713458836079208448987
absolute error = 5e-32
relative error = 2.1034685544514591305546015880043e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97133797485202960492617524696338
y1[1] (numeric) = 0.97133797485202960492617524696339
absolute error = 1e-32
relative error = 1.0295077778178462266084903163054e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=644.6MB, alloc=4.6MB, time=39.57
x[1] = 0.241
y2[1] (analytic) = 0.23867384538879365429333973097121
y2[1] (numeric) = 0.23867384538879365429333973097126
absolute error = 5e-32
relative error = 2.0949090554330016886684616093755e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97109978659627261916094900419216
y1[1] (numeric) = 0.97109978659627261916094900419217
absolute error = 1e-32
relative error = 1.0297602921992427804555332729677e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=648.5MB, alloc=4.6MB, time=39.81
x[1] = 0.242
y2[1] (analytic) = 0.23964482567662722091868583402537
y2[1] (numeric) = 0.23964482567662722091868583402543
absolute error = 6e-32
relative error = 2.5037052158581972208006143503979e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.9708606272408099621026224571645
y1[1] (numeric) = 0.9708606272408099621026224571645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=652.3MB, alloc=4.6MB, time=40.05
TOP MAIN SOLVE Loop
memory used=656.1MB, alloc=4.6MB, time=40.29
x[1] = 0.243
y2[1] (analytic) = 0.24061556631965508131828505726935
y2[1] (numeric) = 0.2406155663196550813182850572694
absolute error = 5e-32
relative error = 2.0780035458543675747488316740560e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97062049702480096928390703998371
y1[1] (numeric) = 0.97062049702480096928390703998371
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=659.9MB, alloc=4.6MB, time=40.52
x[1] = 0.244
y2[1] (analytic) = 0.2415860663471366733593278902572
y2[1] (numeric) = 0.24158606634713667335932789025725
absolute error = 5e-32
relative error = 2.0696557858661706735003998204806e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97037939618837583670294490431084
y1[1] (numeric) = 0.97037939618837583670294490431084
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=663.7MB, alloc=4.6MB, time=40.75
x[1] = 0.245
y2[1] (analytic) = 0.2425563247885720504352218862454
y2[1] (numeric) = 0.24255632478857205043522188624545
absolute error = 5e-32
relative error = 2.0613768799301881202392041660041e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.97013732497263538069313293207151
y1[1] (numeric) = 0.97013732497263538069313293207151
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=667.5MB, alloc=4.6MB, time=40.99
x[1] = 0.246
y2[1] (analytic) = 0.24352634067370285196545739379243
y2[1] (numeric) = 0.24352634067370285196545739379248
absolute error = 5e-32
relative error = 2.0531659886022030221462616106336e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96989428361965079682232649379306
y1[1] (numeric) = 0.96989428361965079682232649379306
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=671.3MB, alloc=4.6MB, time=41.22
x[1] = 0.247
y2[1] (analytic) = 0.24449611303251327365388728240771
y2[1] (numeric) = 0.24449611303251327365388728240776
absolute error = 5e-32
relative error = 2.0450222860332737919064669017560e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96965027237246341782166405334813
y1[1] (numeric) = 0.96965027237246341782166405334813
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=675.2MB, alloc=4.6MB, time=41.45
memory used=679.0MB, alloc=4.6MB, time=41.69
x[1] = 0.248
y2[1] (analytic) = 0.24546564089523103750445040405111
y2[1] (numeric) = 0.24546564089523103750445040405116
absolute error = 5e-32
relative error = 2.0369449596956366291926410072072e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96940529147508447054425469025992
y1[1] (numeric) = 0.96940529147508447054425469025992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=682.8MB, alloc=4.6MB, time=41.93
x[1] = 0.249
y2[1] (analytic) = 0.24643492329232836159336877484025
y2[1] (numeric) = 0.2464349232923283615933687748403
absolute error = 5e-32
relative error = 2.0289332101152127651349383548332e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96915934117249483195397158086133
y1[1] (numeric) = 0.96915934117249483195397158086133
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=686.6MB, alloc=4.6MB, time=42.16
x[1] = 0.25
y2[1] (analytic) = 0.24740395925452292959684870484939
y2[1] (numeric) = 0.24740395925452292959684870484943
absolute error = 4e-32
relative error = 1.6167890004884284291332797332231e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96891242171064478414459544949419
y1[1] (numeric) = 0.96891242171064478414459544949419
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=690.4MB, alloc=4.6MB, time=42.39
x[1] = 0.251
y2[1] (analytic) = 0.24837274781277886007331634837941
y2[1] (numeric) = 0.24837274781277886007331634837945
absolute error = 4e-32
relative error = 1.6104826456303345999419089073192e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.9686645333364537683895529705847
y1[1] (numeric) = 0.9686645333364537683895529705847
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=694.2MB, alloc=4.6MB, time=42.62
x[1] = 0.252
y2[1] (analytic) = 0.24934128799830767549921839254425
y2[1] (numeric) = 0.2493412879983076754992183925443
absolute error = 5e-32
relative error = 2.0052836175426894826860101397800e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96841567629781013822249607183617
y1[1] (numeric) = 0.96841567629781013822249607183617
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=698.1MB, alloc=4.6MB, time=42.86
x[1] = 0.253
y2[1] (analytic) = 0.25030957884256927105741884845382
y2[1] (numeric) = 0.25030957884256927105741884845386
absolute error = 4e-32
relative error = 1.5980211458530623546664444646677e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96816585084357091154896905793918
y1[1] (numeric) = 0.96816585084357091154896905793918
absolute error = 0
memory used=701.9MB, alloc=4.6MB, time=43.10
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=705.7MB, alloc=4.6MB, time=43.34
x[1] = 0.254
y2[1] (analytic) = 0.2512776193772728831772231566772
y2[1] (numeric) = 0.25127761937727288317722315667724
absolute error = 4e-32
relative error = 1.5918648106874674470851884246648e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96791505722356152178941144311144
y1[1] (numeric) = 0.96791505722356152178941144311144
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=709.5MB, alloc=4.6MB, time=43.57
x[1] = 0.255
y2[1] (analytic) = 0.25224540863437805782506106704299
y2[1] (numeric) = 0.25224540863437805782506106704303
absolute error = 4e-32
relative error = 1.5857573073997460407677699657068e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96766329568857556805374534944369
y1[1] (numeric) = 0.96766329568857556805374534944369
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=713.3MB, alloc=4.6MB, time=43.80
x[1] = 0.256
y2[1] (analytic) = 0.2532129456460956185448600021744
y2[1] (numeric) = 0.25321294564609561854486000217444
absolute error = 4e-32
relative error = 1.5796980639333585503255329464385e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96741056649037456434779729644346
y1[1] (numeric) = 0.96741056649037456434779729644346
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=717.1MB, alloc=4.6MB, time=44.04
x[1] = 0.257
y2[1] (analytic) = 0.25418022944488863424714086446645
y2[1] (numeric) = 0.25418022944488863424714086446649
absolute error = 4e-32
relative error = 1.5736865171361725174075139042305e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96715686988168768781180517533403
y1[1] (numeric) = 0.96715686988168768781180517533403
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=720.9MB, alloc=4.6MB, time=44.27
x[1] = 0.258
y2[1] (analytic) = 0.25514725906347338674586849749019
y2[1] (numeric) = 0.25514725906347338674586849749023
absolute error = 4e-32
relative error = 1.5677221125878972034642096832328e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.9669022061162115259912621695806
y1[1] (numeric) = 0.9669022061162115259912621695806
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=724.8MB, alloc=4.6MB, time=44.51
memory used=728.6MB, alloc=4.6MB, time=44.75
x[1] = 0.259
y2[1] (analytic) = 0.25611403353482033804208926505403
y2[1] (numeric) = 0.25611403353482033804208926505407
absolute error = 4e-32
relative error = 1.5618043044315158394633792110645e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96664657544860982314035035077869
y1[1] (numeric) = 0.96664657544860982314035035077869
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=732.4MB, alloc=4.6MB, time=44.98
x[1] = 0.26
y2[1] (analytic) = 0.25708055189215509735338846436522
y2[1] (numeric) = 0.25708055189215509735338846436526
absolute error = 4e-32
relative error = 1.5559325552086079033359390319003e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96638997813451322555821764645006
y1[1] (numeric) = 0.96638997813451322555821764645006
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=736.2MB, alloc=4.6MB, time=45.21
x[1] = 0.261
y2[1] (analytic) = 0.25804681316895938788820054391467
y2[1] (numeric) = 0.2580468131689593878882005439147
absolute error = 3e-32
relative error = 1.1625797517738428211825091845988e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96613241443051902595835284344793
y1[1] (numeric) = 0.96613241443051902595835284344792
absolute error = 1e-32
relative error = 1.0350548072537696810652669310784e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=740.0MB, alloc=4.6MB, time=45.45
x[1] = 0.262
y2[1] (analytic) = 0.25901281639897201336400535185544
y2[1] (numeric) = 0.25901281639897201336400535185548
absolute error = 4e-32
relative error = 1.5443251247608438637474501249553e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96587388459419090687131425757517
y1[1] (numeric) = 0.96587388459419090687131425757516
absolute error = 1e-32
relative error = 1.0353318543446767699893385540080e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=743.8MB, alloc=4.6MB, time=45.68
x[1] = 0.263
y2[1] (analytic) = 0.25997856061618982426844389675928
y2[1] (numeric) = 0.25997856061618982426844389675931
absolute error = 3e-32
relative error = 1.1539413068868183164539142482061e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96561438888405868308106866666555
y1[1] (numeric) = 0.96561438888405868308106866666553
absolute error = 2e-32
relative error = 2.0712201713474466403121065860619e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=747.6MB, alloc=4.6MB, time=45.92
memory used=751.5MB, alloc=4.6MB, time=46.16
x[1] = 0.264
y2[1] (analytic) = 0.26094404485486868386238735971576
y2[1] (numeric) = 0.26094404485486868386238735971579
absolute error = 3e-32
relative error = 1.1496717626449508592499619053429e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.9653539275596180430951980707674
y1[1] (numeric) = 0.96535392755961804309519807076738
absolute error = 2e-32
relative error = 2.0717790055051954921124663410533e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=755.3MB, alloc=4.6MB, time=46.39
x[1] = 0.265
y2[1] (analytic) = 0.26190926814952443392399335478576
y2[1] (numeric) = 0.2619092681495244339239933547858
absolute error = 4e-32
relative error = 1.5272464499867921401822881534778e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96509250088133028964923280920166
y1[1] (numeric) = 0.96509250088133028964923280920164
absolute error = 2e-32
relative error = 2.0723402142007981605562755841944e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=759.1MB, alloc=4.6MB, time=46.63
x[1] = 0.266
y2[1] (analytic) = 0.26287422953493386023278369383338
y2[1] (numeric) = 0.26287422953493386023278369383341
absolute error = 3e-32
relative error = 1.1412301636822578873920661190637e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96483010911062207924537053013933
y1[1] (numeric) = 0.96483010911062207924537053013932
absolute error = 1e-32
relative error = 1.0364519002436578559938278306555e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=762.9MB, alloc=4.6MB, time=46.86
x[1] = 0.267
y2[1] (analytic) = 0.26383892804613565779277817173887
y2[1] (numeric) = 0.2638389280461356577927781717389
absolute error = 3e-32
relative error = 1.1370573789912499563828822710051e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96456675250988516072584147395786
y1[1] (numeric) = 0.96456675250988516072584147395784
absolute error = 2e-32
relative error = 2.0734697674327142206663965213688e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=766.7MB, alloc=4.6MB, time=47.09
x[1] = 0.268
y2[1] (analytic) = 0.26480336271843139579371914893952
y2[1] (numeric) = 0.26480336271843139579371914893955
absolute error = 3e-32
relative error = 1.1329161265938817115695975932213e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96430243134247611288118149698917
y1[1] (numeric) = 0.96430243134247611288118149698916
absolute error = 1e-32
relative error = 1.0370190590599535092009394098472e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=770.5MB, alloc=4.6MB, time=47.33
x[1] = 0.269
y2[1] (analytic) = 0.26576753258738648230942197015403
y2[1] (numeric) = 0.26576753258738648230942197015406
absolute error = 3e-32
relative error = 1.1288060549734667444613188196938e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96403714587271608109367522736473
y1[1] (numeric) = 0.96403714587271608109367522736471
absolute error = 2e-32
relative error = 2.0746088556467971881910141351187e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=774.3MB, alloc=4.6MB, time=47.56
TOP MAIN SOLVE Loop
memory used=778.2MB, alloc=4.6MB, time=47.80
x[1] = 0.27
y2[1] (analytic) = 0.26673143668883112873228652102054
y2[1] (numeric) = 0.26673143668883112873228652102057
absolute error = 3e-32
relative error = 1.1247268178215527492773931171829e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.9637708963658905130162327094922
y1[1] (numeric) = 0.96377089636589051301623270949219
absolute error = 1e-32
relative error = 1.0375909915631601514930305045560e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=782.0MB, alloc=4.6MB, time=48.03
x[1] = 0.271
y2[1] (analytic) = 0.26769507405886131394300548821702
y2[1] (numeric) = 0.26769507405886131394300548821705
absolute error = 3e-32
relative error = 1.1206780739418291128534822368237e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.9635036830882488932869638582654
y1[1] (numeric) = 0.96350368308824889328696385826539
absolute error = 1e-32
relative error = 1.0378787518432437053629595128718e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=785.8MB, alloc=4.6MB, time=48.27
x[1] = 0.272
y2[1] (analytic) = 0.26865844373383974821450515343617
y2[1] (numeric) = 0.2686584437338397482145051534362
absolute error = 3e-32
relative error = 1.1166594871561541920496775767763e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96323550630700447727971600841062
y1[1] (numeric) = 0.96323550630700447727971600841061
absolute error = 1e-32
relative error = 1.0381677102352141333861486725854e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=789.6MB, alloc=4.6MB, time=48.50
x[1] = 0.273
y2[1] (analytic) = 0.26962154475039683684915481735437
y2[1] (numeric) = 0.2696215447503968368491548173544
absolute error = 3e-32
relative error = 1.1126707262126479277018643012367e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96296636629033402389084080840986
y1[1] (numeric) = 0.96296636629033402389084080840985
absolute error = 1e-32
relative error = 1.0384578683182174074499991923853e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=793.4MB, alloc=4.6MB, time=48.74
x[1] = 0.274
y2[1] (analytic) = 0.27058437614543164354828121646544
y2[1] (numeric) = 0.27058437614543164354828121646547
absolute error = 3e-32
relative error = 1.1087114646957970310468630753748e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96269626330737752736245767221169
y1[1] (numeric) = 0.96269626330737752736245767221168
absolute error = 1e-32
relative error = 1.0387492276790024589992260593720e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=797.2MB, alloc=4.6MB, time=48.97
memory used=801.1MB, alloc=4.6MB, time=49.21
x[1] = 0.275
y2[1] (analytic) = 0.27154693695611285351302456334528
y2[1] (numeric) = 0.27154693695611285351302456334531
absolute error = 3e-32
relative error = 1.1047813809385215135066388396712e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96242519762823794814248196544391
y1[1] (numeric) = 0.9624251976282379481424819654439
absolute error = 1e-32
relative error = 1.0390417899119431698247910750529e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=804.9MB, alloc=4.6MB, time=49.45
x[1] = 0.276
y2[1] (analytic) = 0.27250922621987973627557310957138
y2[1] (numeric) = 0.27250922621987973627557310957141
absolute error = 3e-32
relative error = 1.1008801579361528156187543010312e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96215316952398094278168706607751
y1[1] (numeric) = 0.9621531695239809427816870660775
absolute error = 1e-32
relative error = 1.0393355566190604888775408564490e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=808.7MB, alloc=4.6MB, time=49.68
x[1] = 0.277
y2[1] (analytic) = 0.27347124297444310825981340014308
y2[1] (numeric) = 0.27347124297444310825981340014311
absolute error = 3e-32
relative error = 1.0970074832622752275562243722136e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96188017926663459286807040245721
y1[1] (numeric) = 0.9618801792666345928680704024572
absolute error = 1e-32
relative error = 1.0396305294100446756971132525249e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=812.5MB, alloc=4.6MB, time=49.92
x[1] = 0.278
y2[1] (analytic) = 0.27443298625778629507043365883237
y2[1] (numeric) = 0.2744329862577862950704336588324
absolute error = 3e-32
relative error = 1.0931630489863836838254610233251e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96160622712918913299879453431011
y1[1] (numeric) = 0.9616062271291891329987945343101
absolute error = 1e-32
relative error = 1.0399267099022776710507260774222e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=816.3MB, alloc=4.6MB, time=50.15
x[1] = 0.279
y2[1] (analytic) = 0.27539445510816609350951801544215
y2[1] (numeric) = 0.27539445510816609350951801544218
absolute error = 3e-32
relative error = 1.0893465515933123600331269705123e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96133131338559667778997530476856
y1[1] (numeric) = 0.96133131338559667778997530476855
absolute error = 1e-32
relative error = 1.0402240997208555953805388055843e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=820.1MB, alloc=4.6MB, time=50.38
x[1] = 0.28
y2[1] (analytic) = 0.27635564856411373331966955845785
y2[1] (numeric) = 0.27635564856411373331966955845788
absolute error = 3e-32
relative error = 1.0855576919043898016729914701780e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96105543831077094792459005359648
y1[1] (numeric) = 0.96105543831077094792459005359646
absolute error = 2e-32
relative error = 2.0810454009972227513247622478529e-30 %
Correct digits = 31
h = 0.001
memory used=823.9MB, alloc=4.6MB, time=50.62
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=827.8MB, alloc=4.6MB, time=50.86
x[1] = 0.281
y2[1] (analytic) = 0.27731656566443583865270047004946
y2[1] (numeric) = 0.27731656566443583865270047004949
absolute error = 3e-32
relative error = 1.0817961750002775752411582306367e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96077860218058699523877984368792
y1[1] (numeric) = 0.9607786021805869952387798436879
absolute error = 2e-32
relative error = 2.0816450277522750025655444172066e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=831.6MB, alloc=4.6MB, time=51.09
x[1] = 0.282
y2[1] (analytic) = 0.27827720544821538926292777481407
y2[1] (numeric) = 0.2782772054482153892629277748141
absolute error = 3e-32
relative error = 1.0780617101454506521211438170741e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96050080527188092684682061451294
y1[1] (numeric) = 0.96050080527188092684682061451292
absolute error = 2e-32
relative error = 2.0822470830036178190906230126467e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=835.4MB, alloc=4.6MB, time=51.33
x[1] = 0.283
y2[1] (analytic) = 0.27923756695481268142411350904312
y2[1] (numeric) = 0.27923756695481268142411350904315
absolute error = 3e-32
relative error = 1.0743540107142789170105736161186e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.96022204786244962830503913751647
y1[1] (numeric) = 0.96022204786244962830503913751645
absolute error = 2e-32
relative error = 2.0828515700636120028434117440175e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=839.2MB, alloc=4.6MB, time=51.56
x[1] = 0.284
y2[1] (analytic) = 0.28019764922386628856908839365443
y2[1] (numeric) = 0.28019764922386628856908839365446
absolute error = 3e-32
relative error = 1.0706727941186703365550279107632e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.95994233023105048581495060953123
y1[1] (numeric) = 0.95994233023105048581495060953122
absolute error = 1e-32
relative error = 1.0417292461301377881669093671772e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=843.0MB, alloc=4.6MB, time=51.80
x[1] = 0.285
y2[1] (analytic) = 0.28115745129529402165109837124522
y2[1] (numeric) = 0.28115745129529402165109837124525
absolute error = 3e-32
relative error = 1.0670177817372374316253751126974e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.95966165265740110746589568104396
y1[1] (numeric) = 0.95966165265740110746589568104395
absolute error = 1e-32
relative error = 1.0420339264686651694220910798325e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=846.8MB, alloc=4.6MB, time=52.03
memory used=850.6MB, alloc=4.6MB, time=52.27
x[1] = 0.286
y2[1] (analytic) = 0.28211697220929388922591364599979
y2[1] (numeric) = 0.28211697220929388922591364599982
absolute error = 3e-32
relative error = 1.0633886988459497695858133014184e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.95938001542217904351745567665462
y1[1] (numeric) = 0.95938001542217904351745567665462
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=854.5MB, alloc=4.6MB, time=52.50
x[1] = 0.287
y2[1] (analytic) = 0.28307621100634505725374014442268
y2[1] (numeric) = 0.28307621100634505725374014442271
absolute error = 3e-32
relative error = 1.0597852745502362321654363005517e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.95909741880702150572192572529021
y1[1] (numeric) = 0.95909741880702150572192572529021
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=858.3MB, alloc=4.6MB, time=52.73
x[1] = 0.288
y2[1] (analytic) = 0.28403516672720880861997359506588
y2[1] (numeric) = 0.28403516672720880861997359506591
absolute error = 3e-32
relative error = 1.0562072417185018213346857838671e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.95881386309452508568712647767644
y1[1] (numeric) = 0.95881386309452508568712647767644
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=862.1MB, alloc=4.6MB, time=52.96
x[1] = 0.289
y2[1] (analytic) = 0.28499383841292950237383670657605
y2[1] (numeric) = 0.28499383841292950237383670657608
absolute error = 3e-32
relative error = 1.0526543369170247410233196967982e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.95852934856824547227983604823229
y1[1] (numeric) = 0.95852934856824547227983604823229
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=865.9MB, alloc=4.6MB, time=53.20
x[1] = 0.29
y2[1] (analytic) = 0.28595222510483553268394020550437
y2[1] (numeric) = 0.2859522251048355326839402055044
absolute error = 3e-32
relative error = 1.0491263003462004376796670684356e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.95824387551269716807012477793186
y1[1] (numeric) = 0.95824387551269716807012477793186
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=869.7MB, alloc=4.6MB, time=53.43
memory used=873.5MB, alloc=4.6MB, time=53.67
x[1] = 0.291
y2[1] (analytic) = 0.28691032584454028750980877839799
y2[1] (numeric) = 0.28691032584454028750980877839802
absolute error = 3e-32
relative error = 1.0456228757781001986022294213089e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.9579574442133532048168763737751
y1[1] (numeric) = 0.9579574442133532048168763737751
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=877.3MB, alloc=4.6MB, time=53.90
x[1] = 0.292
y2[1] (analytic) = 0.28786813967394310698841324672701
y2[1] (numeric) = 0.28786813967394310698841324672704
absolute error = 3e-32
relative error = 1.0421438104953127946752202036048e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.95767005495664485799477993932263
y1[1] (numeric) = 0.95767005495664485799477993932263
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=881.2MB, alloc=4.6MB, time=54.14
x[1] = 0.293
y2[1] (analytic) = 0.28882566563523024153475058819466
y2[1] (numeric) = 0.28882566563523024153475058819469
absolute error = 3e-32
relative error = 1.0386888552310385145729131011315e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.95738170802996136036307836927879
y1[1] (numeric) = 0.95738170802996136036307836927879
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=885.0MB, alloc=4.6MB, time=54.37
x[1] = 0.294
y2[1] (analytic) = 0.28978290277087580965551370393053
y2[1] (numeric) = 0.28978290277087580965551370393055
absolute error = 2e-32
relative error = 6.9017184274027051439410351875890e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.95709240372164961457635953935068
y1[1] (numeric) = 0.95709240372164961457635953935068
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=888.8MB, alloc=4.6MB, time=54.61
x[1] = 0.295
y2[1] (analytic) = 0.29073985012364275547489311797684
y2[1] (numeric) = 0.29073985012364275547489311797686
absolute error = 2e-32
relative error = 6.8790019639532084860731128548838e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.95680214232101390483767768056805
y1[1] (numeric) = 0.95680214232101390483767768056805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=892.6MB, alloc=4.6MB, time=54.84
x[1] = 0.296
y2[1] (analytic) = 0.29169650673658380597155308334595
y2[1] (numeric) = 0.29169650673658380597155308334597
absolute error = 2e-32
relative error = 6.8564413827763035010565815181202e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.9565109241183156075942932849186
y1[1] (numeric) = 0.9565109241183156075942932849186
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=896.4MB, alloc=4.6MB, time=55.08
TOP MAIN SOLVE Loop
memory used=900.2MB, alloc=4.6MB, time=55.32
x[1] = 0.297
y2[1] (analytic) = 0.29265287165304242792582485775268
y2[1] (numeric) = 0.2926528716530424279258248577527
absolute error = 2e-32
relative error = 6.8340351102760414028366108135360e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.95621874940477290127632084653473
y1[1] (numeric) = 0.95621874940477290127632084653473
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=904.0MB, alloc=4.6MB, time=55.55
x[1] = 0.298
y2[1] (analytic) = 0.29360894391665378457616020190792
y2[1] (numeric) = 0.29360894391665378457616020190794
absolute error = 2e-32
relative error = 6.8117815939821513616839384463513e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.95592561847256047507857469975975
y1[1] (numeric) = 0.95592561847256047507857469975976
absolute error = 1e-32
relative error = 1.0461064968609842370189411286174e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=907.9MB, alloc=4.6MB, time=55.79
x[1] = 0.299
y2[1] (analytic) = 0.29456472257134569198388844399979
y2[1] (numeric) = 0.29456472257134569198388844399982
absolute error = 3e-32
relative error = 1.0184518953295157222209899134082e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.95563153161480923678590417222355
y1[1] (numeric) = 0.95563153161480923678590417222356
absolute error = 1e-32
relative error = 1.0464284265612476297779303508159e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=911.7MB, alloc=4.6MB, time=56.02
x[1] = 0.3
y2[1] (analytic) = 0.29552020666133957510532074568503
y2[1] (numeric) = 0.29552020666133957510532074568505
absolute error = 2e-32
relative error = 6.7677267236482451699209531029548e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.95533648912560601964231022756805
y1[1] (numeric) = 0.95533648912560601964231022756806
absolute error = 1e-32
relative error = 1.0467516015380856009327908455870e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=915.5MB, alloc=4.6MB, time=56.25
x[1] = 0.301
y2[1] (analytic) = 0.29647539523115142357024549756582
y2[1] (numeric) = 0.29647539523115142357024549756584
absolute error = 2e-32
relative error = 6.7459223671518185903369715352226e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.95504049129999328826413672868155
y1[1] (numeric) = 0.95504049129999328826413672868156
absolute error = 1e-32
relative error = 1.0470760235922648651553556551589e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=919.3MB, alloc=4.6MB, time=56.49
memory used=923.1MB, alloc=4.6MB, time=56.73
x[1] = 0.302
y2[1] (analytic) = 0.29743028732559274716585906573658
y2[1] (numeric) = 0.29743028732559274716585906573661
absolute error = 3e-32
relative error = 1.0086397141915618854100841480485e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.95474353843396884359763040822611
y1[1] (numeric) = 0.95474353843396884359763040822612
absolute error = 1e-32
relative error = 1.0474016945328204963890453285006e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=926.9MB, alloc=4.6MB, time=56.97
x[1] = 0.303
y2[1] (analytic) = 0.2983848819897715310251764055494
y2[1] (numeric) = 0.29838488198977153102517640554942
absolute error = 2e-32
relative error = 6.7027524540219798921377207460720e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.95444563082448552692116458887338
y1[1] (numeric) = 0.95444563082448552692116458887339
absolute error = 1e-32
relative error = 1.0477286161770816843918665103297e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=930.8MB, alloc=4.6MB, time=57.20
x[1] = 0.304
y2[1] (analytic) = 0.29933917826909319051896635426711
y2[1] (numeric) = 0.29933917826909319051896635426713
absolute error = 2e-32
relative error = 6.6813840124932963469144207042997e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.95414676876945092289242265100057
y1[1] (numeric) = 0.95414676876945092289242265100059
absolute error = 2e-32
relative error = 2.0961135807013952709233206390883e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=934.6MB, alloc=4.6MB, time=57.44
x[1] = 0.305
y2[1] (analytic) = 0.30029317520926152585025671074844
y2[1] (numeric) = 0.30029317520926152585025671074846
absolute error = 2e-32
relative error = 6.6601580225933711939616431032954e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.95384695256772706164083820063833
y1[1] (numeric) = 0.95384695256772706164083820063835
absolute error = 2e-32
relative error = 2.0967724377753272361165087769283e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=938.4MB, alloc=4.6MB, time=57.67
x[1] = 0.306
y2[1] (analytic) = 0.30124687185627967635045450773953
y2[1] (numeric) = 0.30124687185627967635045450773955
absolute error = 2e-32
relative error = 6.6390730887129999246691597217107e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.95354618251913011990558984520543
y1[1] (numeric) = 0.95354618251913011990558984520545
absolute error = 2e-32
relative error = 2.0974338072606943080840922951499e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=942.2MB, alloc=4.6MB, time=57.91
x[1] = 0.307
y2[1] (analytic) = 0.30220026725645107447612718073115
y2[1] (numeric) = 0.30220026725645107447612718073117
absolute error = 2e-32
relative error = 6.6181278334303192594347740093345e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.95324445892443012121944943901075
y1[1] (numeric) = 0.95324445892443012121944943901077
absolute error = 2e-32
relative error = 2.0980976928590287125069033337796e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=946.0MB, alloc=4.6MB, time=58.14
TOP MAIN SOLVE Loop
memory used=949.8MB, alloc=4.6MB, time=58.38
x[1] = 0.308
y2[1] (analytic) = 0.30315336045638039950549063667997
y2[1] (numeric) = 0.30315336045638039950549063667998
absolute error = 1e-32
relative error = 3.2986604486077806514544984803300e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.95294178208535063513878361464923
y1[1] (numeric) = 0.95294178208535063513878361464925
absolute error = 2e-32
relative error = 2.0987640982887128263251887501811e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=953.6MB, alloc=4.6MB, time=58.61
x[1] = 0.309
y2[1] (analytic) = 0.3041061505029745309336505261852
y2[1] (numeric) = 0.30410615050297453093365052618522
absolute error = 2e-32
relative error = 6.5766509381415406405753580251451e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.95263815230456847552000937026516
y1[1] (numeric) = 0.95263815230456847552000937026519
absolute error = 3e-32
relative error = 3.1491495409275486639707446319845e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=957.5MB, alloc=4.6MB, time=58.85
x[1] = 0.31
y2[1] (analytic) = 0.30505863644344350156564332395896
y2[1] (numeric) = 0.30505863644344350156564332395898
absolute error = 2e-32
relative error = 6.5561166315997449231716170028411e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.95233356988571339784280543620221
y1[1] (numeric) = 0.95233356988571339784280543620223
absolute error = 2e-32
relative error = 2.1001044836002303327454476474836e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=961.3MB, alloc=4.6MB, time=59.08
x[1] = 0.311
y2[1] (analytic) = 0.30601081732530145030632412462842
y2[1] (numeric) = 0.30601081732530145030632412462844
absolute error = 2e-32
relative error = 6.5357166700219028154506570746843e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.95202803513336779558038209780341
y1[1] (numeric) = 0.95202803513336779558038209780344
absolute error = 3e-32
relative error = 3.1511677065053401599452838624770e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=965.1MB, alloc=4.6MB, time=59.32
x[1] = 0.312
y2[1] (analytic) = 0.30696269219636757464614836406167
y2[1] (numeric) = 0.30696269219636757464614836406169
absolute error = 2e-32
relative error = 6.5154497626069064197158482877813e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.95172154835306639561711310406623
y1[1] (numeric) = 0.95172154835306639561711310406626
absolute error = 3e-32
relative error = 3.1521824899220105605467060196234e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=968.9MB, alloc=4.6MB, time=59.55
memory used=972.7MB, alloc=4.6MB, time=59.79
x[1] = 0.313
y2[1] (analytic) = 0.30791426010476708284189498051468
y2[1] (numeric) = 0.3079142601047670828418949805147
absolute error = 2e-32
relative error = 6.4953146350529684255131048315405e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.95141410985129595271383424449514
y1[1] (numeric) = 0.95141410985129595271383424449517
absolute error = 3e-32
relative error = 3.1532010813555138074467692292650e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=976.5MB, alloc=4.6MB, time=60.03
x[1] = 0.314
y2[1] (analytic) = 0.30886552009893214579137883495571
y2[1] (numeric) = 0.30886552009893214579137883495573
absolute error = 2e-32
relative error = 6.4753100292948972877821378922601e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.95110571993549494302111412882791
y1[1] (numeric) = 0.95110571993549494302111412882794
absolute error = 3e-32
relative error = 3.1542234865367683476061886094128e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=980.3MB, alloc=4.6MB, time=60.27
x[1] = 0.315
y2[1] (analytic) = 0.30981647122760284860120051593398
y2[1] (numeric) = 0.309816471227602848601200515934
absolute error = 2e-32
relative error = 6.4554347032463766995205337011874e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.95079637891405325664080365633916
y1[1] (numeric) = 0.95079637891405325664080365633919
absolute error = 3e-32
relative error = 3.1552497112225365733798421694330e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=984.2MB, alloc=4.6MB, time=60.50
x[1] = 0.316
y2[1] (analytic) = 0.31076711253982814184658196132219
y2[1] (numeric) = 0.31076711253982814184658196132221
absolute error = 2e-32
relative error = 6.4356874305471385043547810197994e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.95048608709631188923617161314611
y1[1] (numeric) = 0.95048608709631188923617161314613
absolute error = 2e-32
relative error = 2.1041865074636719244906864546751e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=988.0MB, alloc=4.6MB, time=60.74
x[1] = 0.317
y2[1] (analytic) = 0.3117174430849667925223366371764
y2[1] (numeric) = 0.31171744308496679252233663717642
absolute error = 2e-32
relative error = 6.4160670003149209920050297369240e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.95017484479256263269093478735519
y1[1] (numeric) = 0.95017484479256263269093478735522
absolute error = 3e-32
relative error = 3.1573136422643822250633452402979e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=991.8MB, alloc=4.6MB, time=60.97
memory used=995.6MB, alloc=4.6MB, time=61.21
x[1] = 0.318
y2[1] (analytic) = 0.31266746191268833468402332282246
y2[1] (numeric) = 0.31266746191268833468402332282248
absolute error = 2e-32
relative error = 6.3965722169021072380458691905243e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.94986265231404776481749194299381
y1[1] (numeric) = 0.94986265231404776481749194299384
absolute error = 3e-32
relative error = 3.1583513602639540509071620918458e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=999.4MB, alloc=4.6MB, time=61.45
x[1] = 0.319
y2[1] (analytic) = 0.3136171680729740197783328610944
y2[1] (numeric) = 0.31361716807297401977833286109442
absolute error = 2e-32
relative error = 6.3772018996569407910858136085611e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.94954950997295973811467194446714
y1[1] (numeric) = 0.94954950997295973811467194446716
absolute error = 2e-32
relative error = 2.1062619473701312053291348712343e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1003.2MB, alloc=4.6MB, time=61.68
x[1] = 0.32
y2[1] (analytic) = 0.31456656061611776666175754341715
y2[1] (numeric) = 0.31456656061611776666175754341717
absolute error = 2e-32
relative error = 6.3579548826892185779101948190767e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.94923541808244086757530727376609
y1[1] (numeric) = 0.94923541808244086757530727376611
absolute error = 2e-32
relative error = 2.1069588870168985639438319667824e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1007.0MB, alloc=4.6MB, time=61.92
x[1] = 0.321
y2[1] (analytic) = 0.31551563859272711130659311114346
y2[1] (numeric) = 0.31551563859272711130659311114349
absolute error = 3e-32
relative error = 9.5082450219605450888555708630207e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.94892037695658301754394513282693
y1[1] (numeric) = 0.94892037695658301754394513282694
absolute error = 1e-32
relative error = 1.0538291981959979386234151972264e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1010.9MB, alloc=4.6MB, time=62.15
x[1] = 0.322
y2[1] (analytic) = 0.31646440105372415619332366722217
y2[1] (numeric) = 0.3164644010537241561933236672222
absolute error = 3e-32
relative error = 9.4797392376866711416382730730160e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.94860438691042728762500927330517
y1[1] (numeric) = 0.94860438691042728762500927330518
absolute error = 1e-32
relative error = 1.0541802397277188466181210406187e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1014.7MB, alloc=4.6MB, time=62.38
x[1] = 0.323
y2[1] (analytic) = 0.31741284705034651938844010589189
y2[1] (numeric) = 0.31741284705034651938844010589192
absolute error = 3e-32
relative error = 9.4514132867601109973660632749748e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.94828744825996369764172664557596
y1[1] (numeric) = 0.94828744825996369764172664557598
absolute error = 2e-32
relative error = 2.1090651401849195704953185746421e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1018.5MB, alloc=4.6MB, time=62.62
TOP MAIN SOLVE Loop
memory used=1022.3MB, alloc=4.6MB, time=62.86
x[1] = 0.324
y2[1] (analytic) = 0.31836097563414828330674298266094
y2[1] (numeric) = 0.31836097563414828330674298266097
absolute error = 3e-32
relative error = 9.4232655055295403481057765164132e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.9479695613221308716461339080079
y1[1] (numeric) = 0.94796956132213087164613390800792
absolute error = 2e-32
relative error = 2.1097723825758759604580725337327e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1026.1MB, alloc=4.6MB, time=63.09
x[1] = 0.325
y2[1] (analytic) = 0.31930878585700094315718106234965
y2[1] (numeric) = 0.31930878585700094315718106234968
absolute error = 3e-32
relative error = 9.3952942508243986015112285108750e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.94765072641481572098047978647747
y1[1] (numeric) = 0.94765072641481572098047978647749
absolute error = 2e-32
relative error = 2.1104822106415384101929695933287e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1029.9MB, alloc=4.6MB, time=63.33
x[1] = 0.326
y2[1] (analytic) = 0.32025627677109435507127709943546
y2[1] (numeric) = 0.32025627677109435507127709943549
absolute error = 3e-32
relative error = 9.3674978996407715939498291574676e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.94733094385685312639034022269541
y1[1] (numeric) = 0.94733094385685312639034022269543
absolute error = 2e-32
relative error = 2.1111946284129940873533077614501e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1033.8MB, alloc=4.6MB, time=63.56
x[1] = 0.327
y2[1] (analytic) = 0.32120344742893768391319272235417
y2[1] (numeric) = 0.3212034474289376839131927223542
absolute error = 3e-32
relative error = 9.3398748488330379415339079840394e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.94701021396802561918976419820327
y1[1] (numeric) = 0.94701021396802561918976419820329
absolute error = 2e-32
relative error = 2.1119096399392446289541554882507e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1037.6MB, alloc=4.6MB, time=63.80
x[1] = 0.328
y2[1] (analytic) = 0.32215029688336035077048461177134
y2[1] (numeric) = 0.32215029688336035077048461177137
absolute error = 3e-32
relative error = 9.3124235148111560246187326605114e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.94668853706906306147876906886782
y1[1] (numeric) = 0.94668853706906306147876906886784
absolute error = 2e-32
relative error = 2.1126272492872653156470519384521e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1041.4MB, alloc=4.6MB, time=64.03
memory used=1045.2MB, alloc=4.6MB, time=64.27
x[1] = 0.329
y2[1] (analytic) = 0.32309682418751298012460448214665
y2[1] (numeric) = 0.32309682418751298012460448214668
absolute error = 3e-32
relative error = 9.2851423332434715923186952282986e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.9463659134816423254135051923513
y1[1] (numeric) = 0.94636591348164232541350519235132
absolute error = 2e-32
relative error = 2.1133474605420645731750844564699e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1049.0MB, alloc=4.6MB, time=64.51
x[1] = 0.33
y2[1] (analytic) = 0.32404302839486834670019569617022
y2[1] (numeric) = 0.32404302839486834670019569617025
absolute error = 3e-32
relative error = 9.2580297587649288830101937482670e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.94604234352838697152941057836621
y1[1] (numeric) = 0.94604234352838697152941057836622
absolute error = 1e-32
relative error = 1.0570351389033719013512246936692e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1052.8MB, alloc=4.6MB, time=64.74
x[1] = 0.331
y2[1] (analytic) = 0.32498890855922232199223966285307
y2[1] (numeric) = 0.3249889085592223219922396628531
absolute error = 3e-32
relative error = 9.2310842646905709870987738671208e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.94571782753286692611767723853306
y1[1] (numeric) = 0.94571782753286692611767723853307
absolute error = 1e-32
relative error = 1.0573978526012787708620869831364e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1056.6MB, alloc=4.6MB, time=64.98
x[1] = 0.332
y2[1] (analytic) = 0.32593446373469482047010549220433
y2[1] (numeric) = 0.32593446373469482047010549220436
absolute error = 3e-32
relative error = 9.2043043427342179319118869158482e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.94539236581959815765535185934806
y1[1] (numeric) = 0.94539236581959815765535185934807
absolute error = 1e-32
relative error = 1.0577618734344869786366647900379e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1060.5MB, alloc=4.6MB, time=65.21
x[1] = 0.333
y2[1] (analytic) = 0.32687969297573074545755670252426
y2[1] (numeric) = 0.32687969297573074545755670252429
absolute error = 3e-32
relative error = 9.1776885027322136477412299871028e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.94506595871404235228939436813284
y1[1] (numeric) = 0.94506595871404235228939436813285
absolute error = 1e-32
relative error = 1.0581272034818678365774005026232e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1064.3MB, alloc=4.6MB, time=65.45
x[1] = 0.334
y2[1] (analytic) = 0.32782459533710093468776910038533
y2[1] (numeric) = 0.32782459533710093468776910038536
absolute error = 3e-32
relative error = 9.1512352723721355810282381325503e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.94473860654260658837501890788084
y1[1] (numeric) = 0.94473860654260658837501890788085
absolute error = 1e-32
relative error = 1.0584938448314604664732464585477e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1068.1MB, alloc=4.6MB, time=65.69
TOP MAIN SOLVE Loop
memory used=1071.9MB, alloc=4.6MB, time=65.92
x[1] = 0.335
y2[1] (analytic) = 0.32876916987390310553241427836219
y2[1] (numeric) = 0.32876916987390310553241427836222
absolute error = 3e-32
relative error = 9.1249431969263632576179144265266e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.9444103096326430100686426826321
y1[1] (numeric) = 0.94441030963264301006864268263211
absolute error = 1e-32
relative error = 1.0588617995805025502603773619235e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1075.7MB, alloc=4.6MB, time=66.15
x[1] = 0.336
y2[1] (analytic) = 0.32971341564156279990386350150578
y2[1] (numeric) = 0.32971341564156279990386350150581
absolute error = 3e-32
relative error = 9.0988108389904045679842741210667e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.94408106831244849997576908040049
y1[1] (numeric) = 0.9440810683124484999757690804005
absolute error = 1e-32
relative error = 1.0592310698354612499253941490363e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1079.5MB, alloc=4.6MB, time=66.39
x[1] = 0.337
y2[1] (analytic) = 0.33065733169583432882956708043654
y2[1] (numeric) = 0.33065733169583432882956708043657
absolute error = 3e-32
relative error = 9.0728367782258809493716695487264e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.94375088291126435085413242574299
y1[1] (numeric) = 0.94375088291126435085413242574299
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1083.3MB, alloc=4.6MB, time=66.62
x[1] = 0.338
y2[1] (analytic) = 0.33160091709280171669766465675598
y2[1] (numeric) = 0.33160091709280171669766465675601
absolute error = 3e-32
relative error = 9.0470196111080749788509545914725e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.9434197537592759363724326587988
y1[1] (numeric) = 0.9434197537592759363724326587988
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1087.2MB, alloc=4.6MB, time=66.86
x[1] = 0.339
y2[1] (analytic) = 0.33254417088887964517288215524501
y2[1] (numeric) = 0.33254417088887964517288215524504
absolute error = 3e-32
relative error = 9.0213579506779461682453428514205e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.94308768118761238092498918203633
y1[1] (numeric) = 0.94308768118761238092498918203634
absolute error = 1e-32
relative error = 1.0603467948396049648049221839635e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1091.0MB, alloc=4.6MB, time=67.09
memory used=1094.8MB, alloc=4.6MB, time=67.32
x[1] = 0.34
y2[1] (analytic) = 0.33348709214081439678177148703079
y2[1] (numeric) = 0.33348709214081439678177148703082
absolute error = 3e-32
relative error = 8.9958504262985229685643473349653e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.94275466552834622850264406002658
y1[1] (numeric) = 0.94275466552834622850264406002659
absolute error = 1e-32
relative error = 1.0607213483685831202937827622284e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1098.6MB, alloc=4.6MB, time=67.56
x[1] = 0.341
y2[1] (analytic) = 0.33442967990568479816634941856096
y2[1] (numeric) = 0.33442967990568479816634941856099
absolute error = 3e-32
relative error = 8.9704956834155811497628794338693e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.9424207071144931106202457013121
y1[1] (numeric) = 0.94242070711449311062024570131211
absolute error = 1e-32
relative error = 1.0610972280753500863888943177504e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1102.4MB, alloc=4.6MB, time=67.80
x[1] = 0.342
y2[1] (analytic) = 0.33537193324090316300519235282508
y2[1] (numeric) = 0.33537193324090316300519235282511
absolute error = 3e-32
relative error = 8.9452923833225208230270992009987e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.94208580628001141330104509486035
y1[1] (numeric) = 0.94208580628001141330104509486036
absolute error = 1e-32
relative error = 1.0614744361224088360359336403627e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1106.2MB, alloc=4.6MB, time=68.03
x[1] = 0.343
y2[1] (analytic) = 0.33631385120421623460104410180696
y2[1] (numeric) = 0.33631385120421623460104410180698
absolute error = 2e-32
relative error = 5.9468261352862376126898361662246e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.94174996335980194311833761667723
y1[1] (numeric) = 0.94174996335980194311833761667724
absolute error = 1e-32
relative error = 1.0618529746817130869412443762045e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1110.0MB, alloc=4.6MB, time=68.27
x[1] = 0.344
y2[1] (analytic) = 0.33725543285370612813399406263873
y2[1] (numeric) = 0.33725543285370612813399406263875
absolute error = 2e-32
relative error = 5.9302232230238239522322537416644e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.94141317868970759229468436491135
y1[1] (numeric) = 0.94141317868970759229468436491137
absolute error = 2e-32
relative error = 2.1244656918693992222276878524492e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1113.9MB, alloc=4.6MB, time=68.51
memory used=1117.7MB, alloc=4.6MB, time=68.75
x[1] = 0.345
y2[1] (analytic) = 0.33819667724779127257928354435702
y2[1] (numeric) = 0.33819667724779127257928354435705
absolute error = 3e-32
relative error = 8.8705779856079076508266194878811e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.9410754526065130028590479241997
y1[1] (numeric) = 0.94107545260651300285904792419971
absolute error = 1e-32
relative error = 1.0626140520723207222680759522906e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1121.5MB, alloc=4.6MB, time=68.99
x[1] = 0.346
y2[1] (analytic) = 0.33913758344522735228879832753336
y2[1] (numeric) = 0.33913758344522735228879832753338
absolute error = 2e-32
relative error = 5.8973115857063697274562997455123e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.94073678544794422986217840209091
y1[1] (numeric) = 0.94073678544794422986217840209092
absolute error = 1e-32
relative error = 1.0629965952950769420315896605940e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1125.3MB, alloc=4.6MB, time=69.22
x[1] = 0.347
y2[1] (analytic) = 0.34007815050510824823530587536464
y2[1] (numeric) = 0.34007815050510824823530587536466
absolute error = 2e-32
relative error = 5.8810011670242789860347597758740e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.94039717755266840365058652213218
y1[1] (numeric) = 0.94039717755266840365058652213219
absolute error = 1e-32
relative error = 1.0633804778130498459098030686006e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1129.1MB, alloc=4.6MB, time=69.46
x[1] = 0.348
y2[1] (analytic) = 0.34101837748686697891849595206509
y2[1] (numeric) = 0.34101837748686697891849595206511
absolute error = 2e-32
relative error = 5.8647865688030914569893312878755e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.94005662926029339119944149961845
y1[1] (numeric) = 0.94005662926029339119944149961847
absolute error = 2e-32
relative error = 2.1275314036918701799290595057299e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1132.9MB, alloc=4.6MB, time=69.69
x[1] = 0.349
y2[1] (analytic) = 0.34195826345027664093188374259728
y2[1] (numeric) = 0.3419582634502766409318837425973
absolute error = 2e-32
relative error = 5.8486669683618140368106221416793e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.93971514091136745650473236707785
y1[1] (numeric) = 0.93971514091136745650473236707786
absolute error = 1e-32
relative error = 1.0641522696230756191710175065205e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1136.7MB, alloc=4.6MB, time=69.93
x[1] = 0.35
y2[1] (analytic) = 0.34289780745545134918963490691763
y2[1] (numeric) = 0.34289780745545134918963490691765
absolute error = 2e-32
relative error = 5.8326415524247302509246725756321e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.93937271284737892003503235730367
y1[1] (numeric) = 0.93937271284737892003503235730368
absolute error = 1e-32
relative error = 1.0645401833834950584242632965675e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1140.6MB, alloc=4.6MB, time=70.17
TOP MAIN SOLVE Loop
memory used=1144.4MB, alloc=4.6MB, time=70.40
x[1] = 0.351
y2[1] (analytic) = 0.34383700856284717681237234198958
y2[1] (numeric) = 0.3438370085628471768123723419896
absolute error = 2e-32
relative error = 5.8167095169874252454697073797481e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.93902934541075581724320689214026
y1[1] (numeric) = 0.93902934541075581724320689214027
absolute error = 1e-32
relative error = 1.0649294453759312871721322950171e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1148.2MB, alloc=4.6MB, time=70.64
x[1] = 0.352
y2[1] (analytic) = 0.34477586583326309467102476583608
y2[1] (numeric) = 0.3447758658332630946710247658361
absolute error = 2e-32
relative error = 5.8008700671850944555902509149653e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.93868503894486555613840666528628
y1[1] (numeric) = 0.93868503894486555613840666528629
absolute error = 1e-32
relative error = 1.0653200578588701986595199608805e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1152.0MB, alloc=4.6MB, time=70.87
x[1] = 0.353
y2[1] (analytic) = 0.34571437832784191058777757986105
y2[1] (numeric) = 0.34571437832784191058777757986107
absolute error = 2e-32
relative error = 5.7851224171630906648987283987257e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.93833979379401457391868824709369
y1[1] (numeric) = 0.93833979379401457391868824709371
absolute error = 2e-32
relative error = 2.1314240462011592895491111435640e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1155.8MB, alloc=4.6MB, time=71.10
x[1] = 0.354
y2[1] (analytic) = 0.34665254510807120819318680856723
y2[1] (numeric) = 0.34665254510807120819318680856725
absolute error = 2e-32
relative error = 5.7694657899496651941524927796915e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.93799361030344799266460557871336
y1[1] (numeric) = 0.93799361030344799266460557871338
absolute error = 2e-32
relative error = 2.1322106867582871349893072961513e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1159.6MB, alloc=4.6MB, time=71.34
x[1] = 0.355
y2[1] (analytic) = 0.34759036523578428543851725963473
y2[1] (numeric) = 0.34759036523578428543851725963475
absolute error = 2e-32
relative error = 5.7538994173308599546467358853767e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.93764648881934927409411666196697
y1[1] (numeric) = 0.93764648881934927409411666196699
absolute error = 2e-32
relative error = 2.1330000419649926358741535716774e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1163.5MB, alloc=4.6MB, time=71.57
memory used=1167.3MB, alloc=4.6MB, time=71.81
x[1] = 0.356
y2[1] (analytic) = 0.34852783777316109276236639210034
y2[1] (numeric) = 0.34852783777316109276236639210036
absolute error = 2e-32
relative error = 5.7384225397275080740597658116525e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.93729842968883987337915069000988
y1[1] (numeric) = 0.9372984296888398733791506900099
absolute error = 2e-32
relative error = 2.1337921164169143280511598573652e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1171.1MB, alloc=4.6MB, time=72.05
x[1] = 0.357
y2[1] (analytic) = 0.34946496178272917091063572609188
y2[1] (numeric) = 0.3494649617827291709106357260919
absolute error = 2e-32
relative error = 5.7230344060743017502130041612439e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.9369494332599788920241818021889
y1[1] (numeric) = 0.93694943325997889202418180218892
absolute error = 2e-32
relative error = 2.1345869147295299755833249527566e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1174.9MB, alloc=4.6MB, time=72.29
x[1] = 0.358
y2[1] (analytic) = 0.35040173632736458840891197422432
y2[1] (numeric) = 0.35040173632736458840891197422434
absolute error = 2e-32
relative error = 5.7077342737008869121084178377934e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.93659949988176272980715658449232
y1[1] (numeric) = 0.93659949988176272980715658449234
absolute error = 2e-32
relative error = 2.1353844415382263466719225378625e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1178.7MB, alloc=4.6MB, time=72.52
x[1] = 0.359
y2[1] (analytic) = 0.35133816047029287868632042235473
y2[1] (numeric) = 0.35133816047029287868632042235475
absolute error = 2e-32
relative error = 5.6925214082149451683446139099083e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.93624862990412473578312337463565
y1[1] (numeric) = 0.93624862990412473578312337463567
absolute error = 2e-32
relative error = 2.1361847014983693729647496396533e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1182.5MB, alloc=4.6MB, time=72.76
x[1] = 0.36
y2[1] (analytic) = 0.35227423327508997684991343592073
y2[1] (numeric) = 0.35227423327508997684991343592075
absolute error = 2e-32
relative error = 5.6773950833872244012328772236860e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.93589682367793485835091236812474
y1[1] (numeric) = 0.93589682367793485835091236812476
absolute error = 2e-32
relative error = 2.1369876992853746943292352547215e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1186.3MB, alloc=4.6MB, time=72.99
x[1] = 0.361
y2[1] (analytic) = 0.35320995380568315610865731755197
y2[1] (numeric) = 0.35320995380568315610865731755199
absolute error = 2e-32
relative error = 5.6623545810384802212597990920377e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.93554408155499929438321645858698
y1[1] (numeric) = 0.93554408155499929438321645858699
absolute error = 1e-32
relative error = 1.0688967197973892955920633977559e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1190.2MB, alloc=4.6MB, time=73.23
TOP MAIN SOLVE Loop
memory used=1194.0MB, alloc=4.6MB, time=73.47
x[1] = 0.362
y2[1] (analytic) = 0.35414532112635196384608109204584
y2[1] (numeric) = 0.35414532112635196384608109204587
absolute error = 3e-32
relative error = 8.4710987863924369973679855140868e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.93519040388806013742042368226048
y1[1] (numeric) = 0.9351904038880601374204236822605
absolute error = 2e-32
relative error = 2.1386019271423093064978960029775e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1197.8MB, alloc=4.6MB, time=73.70
x[1] = 0.363
y2[1] (analytic) = 0.35508033430172915734065114613672
y2[1] (numeric) = 0.35508033430172915734065114613675
absolute error = 3e-32
relative error = 8.4487923159685689998157860561307e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.93483579103079502492855307277957
y1[1] (numeric) = 0.93483579103079502492855307277959
absolute error = 2e-32
relative error = 2.1394131666639587595765347843993e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1201.6MB, alloc=4.6MB, time=73.94
x[1] = 0.364
y2[1] (analytic) = 0.35601499239680163913293600276189
y2[1] (numeric) = 0.35601499239680163913293600276192
absolute error = 3e-32
relative error = 8.4266114182525964437504788459696e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.93448024333781678462164666829116
y1[1] (numeric) = 0.93448024333781678462164666829119
absolute error = 3e-32
relative error = 3.2103407443740819806670689607284e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1205.4MB, alloc=4.6MB, time=74.18
x[1] = 0.365
y2[1] (analytic) = 0.35694929447691139203862586273754
y2[1] (numeric) = 0.35694929447691139203862586273757
absolute error = 3e-32
relative error = 8.4045550626352322904814345700421e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.93412376116467307984897134848078
y1[1] (numeric) = 0.93412376116467307984897134848081
absolute error = 3e-32
relative error = 3.2115658810129994704585127467235e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1209.2MB, alloc=4.6MB, time=74.42
x[1] = 0.366
y2[1] (analytic) = 0.35788323960775641380647190090305
y2[1] (numeric) = 0.35788323960775641380647190090308
absolute error = 3e-32
relative error = 8.3826222297753585921281912340699e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.93376634486784605404738511427659
y1[1] (numeric) = 0.93376634486784605404738511427661
absolute error = 2e-32
relative error = 2.1418634447390109202467784263031e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1213.0MB, alloc=4.6MB, time=74.65
memory used=1216.9MB, alloc=4.6MB, time=74.89
x[1] = 0.367
y2[1] (analytic) = 0.35881682685539165142021065887221
y2[1] (numeric) = 0.35881682685539165142021065887224
absolute error = 3e-32
relative error = 8.3608119114465141939971291741662e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.93340799480475197425922335783568
y1[1] (numeric) = 0.93340799480475197425922335783571
absolute error = 3e-32
relative error = 3.2140286098872902205587667048194e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1220.7MB, alloc=4.6MB, time=75.13
x[1] = 0.368
y2[1] (analytic) = 0.35975005528622993504353923254485
y2[1] (numeric) = 0.35975005528622993504353923254489
absolute error = 4e-32
relative error = 1.1118830813847847162642485895703e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.93304871133374087371606160489668
y1[1] (numeric) = 0.9330487113337408737160616048967
absolute error = 2e-32
relative error = 2.1435108110712805315619229001641e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1224.5MB, alloc=4.6MB, time=75.36
x[1] = 0.369
y2[1] (analytic) = 0.36068292396704291160720730948157
y2[1] (numeric) = 0.36068292396704291160720730948161
absolute error = 4e-32
relative error = 1.1090073120194335898487888947677e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.9326884948140961934887121457059
y1[1] (numeric) = 0.93268849481409619348871214570592
absolute error = 2e-32
relative error = 2.1443386630373742520625535405678e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1228.3MB, alloc=4.6MB, time=75.60
x[1] = 0.37
y2[1] (analytic) = 0.36161543196496197803729246912715
y2[1] (numeric) = 0.36161543196496197803729246912719
absolute error = 4e-32
relative error = 1.1061474833263123013366890623216e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.93232734560603442320381290449088
y1[1] (numeric) = 0.9323273456060344232038129044909
absolute error = 2e-32
relative error = 2.1451693007030203111482463335611e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1232.1MB, alloc=4.6MB, time=75.84
x[1] = 0.371
y2[1] (analytic) = 0.36254757834747921412372551768536
y2[1] (numeric) = 0.3625475783474792141237255176854
absolute error = 4e-32
relative error = 1.1033034666049402720989445229844e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.93196526407070474082736783086223
y1[1] (numeric) = 0.93196526407070474082736783086225
absolute error = 2e-32
relative error = 2.1460027289689494620836279766311e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1235.9MB, alloc=4.6MB, time=76.07
memory used=1239.7MB, alloc=4.6MB, time=76.30
x[1] = 0.372
y2[1] (analytic) = 0.36347936218244831502813298919735
y2[1] (numeric) = 0.36347936218244831502813298919739
absolute error = 4e-32
relative error = 1.1004751345393309179764135211502e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.93160225057018865151559902957351
y1[1] (numeric) = 0.93160225057018865151559902957354
absolute error = 3e-32
relative error = 3.2202584291352293199803267718887e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1243.6MB, alloc=4.6MB, time=76.54
x[1] = 0.373
y2[1] (analytic) = 0.36441078253808552343006430505902
y2[1] (numeric) = 0.36441078253808552343006430505906
absolute error = 4e-32
relative error = 1.0976623611794334170806292783522e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.93123830546749962553347177775691
y1[1] (numeric) = 0.93123830546749962553347177775694
absolute error = 3e-32
relative error = 3.2215169655139368702971343067719e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1247.4MB, alloc=4.6MB, time=76.77
x[1] = 0.374
y2[1] (analytic) = 0.3653418384829705613106714458277
y2[1] (numeric) = 0.36534183848297056131067144582774
absolute error = 4e-32
relative error = 1.0948650219228722055164396825076e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.93087342912658273524125451107944
y1[1] (numeric) = 0.93087342912658273524125451107947
absolute error = 3e-32
relative error = 3.2227797100351563791641245956237e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1251.2MB, alloc=4.6MB, time=77.01
x[1] = 0.375
y2[1] (analytic) = 0.36627252908604756137290935171626
y2[1] (numeric) = 0.3662725290860475613729093517163
absolute error = 4e-32
relative error = 1.0920829934969786434427304968245e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.93050762191231429114947679222956
y1[1] (numeric) = 0.93050762191231429114947679222958
absolute error = 2e-32
relative error = 2.1493644467841538487627575793853e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1255.0MB, alloc=4.6MB, time=77.24
x[1] = 0.376
y2[1] (analytic) = 0.36720285341662599809732563165185
y2[1] (numeric) = 0.36720285341662599809732563165189
absolute error = 4e-32
relative error = 1.0893161539411094121339663861261e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.93014088419050147704264920674576
y1[1] (numeric) = 0.93014088419050147704264920674578
absolute error = 2e-32
relative error = 2.1502119022975679205362494158054e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1258.8MB, alloc=4.6MB, time=77.48
x[1] = 0.377
y2[1] (analytic) = 0.36813281054438161843250852518704
y2[1] (numeric) = 0.36813281054438161843250852518708
absolute error = 4e-32
relative error = 1.0865643825892463181289021788142e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.92977321632788198417211006243701
y1[1] (numeric) = 0.92977321632788198417211006243703
absolute error = 2e-32
relative error = 2.1510621782577843852572932650619e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1262.6MB, alloc=4.6MB, time=77.72
memory used=1266.5MB, alloc=4.6MB, time=77.95
x[1] = 0.378
y2[1] (analytic) = 0.3690623995393573721192624268931
y2[1] (numeric) = 0.36906239953935737211926242689314
absolute error = 4e-32
relative error = 1.0838275600528722932282535607949e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.92940461869212364451836469951764
y1[1] (numeric) = 0.92940461869212364451836469951766
absolute error = 2e-32
relative error = 2.1519152797136290470958762441867e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1270.3MB, alloc=4.6MB, time=78.19
x[1] = 0.379
y2[1] (analytic) = 0.36999161947196434164758064913733
y2[1] (numeric) = 0.36999161947196434164758064913737
absolute error = 4e-32
relative error = 1.0811055682041184891028832146629e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.92903509165182406312328414908702
y1[1] (numeric) = 0.92903509165182406312328414908704
absolute error = 2e-32
relative error = 2.1527712117353938806083264650535e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1274.1MB, alloc=4.6MB, time=78.43
x[1] = 0.38
y2[1] (analytic) = 0.3709204694129826718454854663492
y2[1] (numeric) = 0.37092046941298267184548546634924
absolute error = 4e-32
relative error = 1.0783982901591774726685676408678e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.92866463557651024949253080772456
y1[1] (numeric) = 0.92866463557651024949253080772458
absolute error = 2e-32
relative error = 2.1536299794149157443180906061186e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1277.9MB, alloc=4.6MB, time=78.66
x[1] = 0.381
y2[1] (analytic) = 0.37184894843356249909880585201274
y2[1] (numeric) = 0.37184894843356249909880585201277
absolute error = 3e-32
relative error = 8.0677920769648322493078074402625e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.92829325083663824806857972574377
y1[1] (numeric) = 0.92829325083663824806857972574379
absolute error = 2e-32
relative error = 2.1544915878656555269033631973377e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1281.7MB, alloc=4.6MB, time=78.90
x[1] = 0.382
y2[1] (analytic) = 0.3727770556052248802009636886848
y2[1] (numeric) = 0.37277705560522488020096368868484
absolute error = 4e-32
relative error = 1.0730274140681140148721756394895e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.9279209378035927677747050360532
y1[1] (numeric) = 0.92792093780359276777470503605322
absolute error = 2e-32
relative error = 2.1553560422227777284114282620204e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1285.5MB, alloc=4.6MB, time=79.13
memory used=1289.3MB, alloc=4.6MB, time=79.37
x[1] = 0.383
y2[1] (analytic) = 0.37370478999986272083183960133056
y2[1] (numeric) = 0.3737047899998627208318396013306
absolute error = 4e-32
relative error = 1.0703635883290308872493579457888e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.92754769684968681063030197960704
y1[1] (numeric) = 0.92754769684968681063030197960706
absolute error = 2e-32
relative error = 2.1562233476432304789363959907495e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1293.2MB, alloc=4.6MB, time=79.61
x[1] = 0.384
y2[1] (analytic) = 0.37463215068974170366478993518755
y2[1] (numeric) = 0.37463215068974170366478993518759
absolute error = 4e-32
relative error = 1.0677140209764514661780071678786e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.92717352834816129943791591209232
y1[1] (numeric) = 0.92717352834816129943791591209234
absolute error = 2e-32
relative error = 2.1570935093058259972139643108382e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1297.0MB, alloc=4.6MB, time=79.84
x[1] = 0.385
y2[1] (analytic) = 0.3755591367475012161008867712188
y2[1] (numeric) = 0.37555913674750121610088677121884
absolute error = 4e-32
relative error = 1.0650786011070502900226307392373e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.92679843267318470454235060479278
y1[1] (numeric) = 0.9267984326731847045423506047928
absolute error = 2e-32
relative error = 2.1579665324113214916039086279442e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1300.8MB, alloc=4.6MB, time=80.08
x[1] = 0.386
y2[1] (analytic) = 0.37648574724615527762945324499228
y2[1] (numeric) = 0.37648574724615527762945324499232
absolute error = 4e-32
relative error = 1.0624572189673638516139410531302e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.92642241019985266966222908048989
y1[1] (numeric) = 0.92642241019985266966222908048991
absolute error = 2e-32
relative error = 2.1588424221825005059482037320620e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1304.6MB, alloc=4.6MB, time=80.31
x[1] = 0.387
y2[1] (analytic) = 0.37741198125909346681396680852865
y2[1] (numeric) = 0.37741198125909346681396680852868
absolute error = 3e-32
relative error = 7.9488732445420138207187043972286e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.92604546130418763679438115280913
y1[1] (numeric) = 0.92604546130418763679438115280915
absolute error = 2e-32
relative error = 2.1597211838642547128100109657835e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1308.4MB, alloc=4.6MB, time=80.55
x[1] = 0.388
y2[1] (analytic) = 0.37833783786008184790240344929121
y2[1] (numeric) = 0.37833783786008184790240344929125
absolute error = 4e-32
relative error = 1.0572561345236881240422016538709e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.92566758636313847019143276459259
y1[1] (numeric) = 0.92566758636313847019143276459261
absolute error = 2e-32
relative error = 2.1606028227236661566162223461015e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1312.2MB, alloc=4.6MB, time=80.79
TOP MAIN SOLVE Loop
memory used=1316.0MB, alloc=4.6MB, time=81.03
x[1] = 0.389
y2[1] (analytic) = 0.37926331612326389706109625605126
y2[1] (numeric) = 0.37926331612326389706109625605129
absolute error = 3e-32
relative error = 7.9100716374714546448062525300382e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.92528878575458007941297314767738
y1[1] (numeric) = 0.9252887857545800794129731476774
absolute error = 2e-32
relative error = 2.1614873440500899492438425199386e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1319.9MB, alloc=4.6MB, time=81.26
x[1] = 0.39
y2[1] (analytic) = 0.38018841512316142823118209784716
y2[1] (numeric) = 0.38018841512316142823118209784719
absolute error = 3e-32
relative error = 7.8908243404211956440396798999009e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.9249090598573130414506767528811
y1[1] (numeric) = 0.92490905985731304145067675288112
absolute error = 2e-32
relative error = 2.1623747531552374206082103360578e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1323.7MB, alloc=4.6MB, time=81.50
x[1] = 0.391
y2[1] (analytic) = 0.38111313393467551860671055966795
y2[1] (numeric) = 0.38111313393467551860671055966798
absolute error = 3e-32
relative error = 7.8716783361084934559119100366176e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.92452840905106322192775782504114
y1[1] (numeric) = 0.92452840905106322192775782504115
absolute error = 1e-32
relative error = 1.0816325276866298634144577802357e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1327.5MB, alloc=4.6MB, time=81.74
x[1] = 0.392
y2[1] (analytic) = 0.38203747163308743373348965682936
y2[1] (numeric) = 0.3820374716330874337334896568294
absolute error = 4e-32
relative error = 1.0470177134460882312795693133407e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.92414683371648139537313642362145
y1[1] (numeric) = 0.92414683371648139537313642362146
absolute error = 1e-32
relative error = 1.0820791280304159592836269938865e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1331.3MB, alloc=4.6MB, time=81.97
x[1] = 0.393
y2[1] (analytic) = 0.3829614272940595522277432292739
y2[1] (numeric) = 0.38296142729405955222774322927394
absolute error = 4e-32
relative error = 1.0444916158432250231287895580197e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.92376433423514286457069561468935
y1[1] (numeric) = 0.92376433423514286457069561468937
absolute error = 2e-32
relative error = 2.1650543605972374721471870564276e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1335.1MB, alloc=4.6MB, time=82.21
memory used=1338.9MB, alloc=4.6MB, time=82.45
x[1] = 0.394
y2[1] (analytic) = 0.38388499999363629011365529721442
y2[1] (numeric) = 0.38388499999363629011365529721445
absolute error = 3e-32
relative error = 7.8148403820147475858635608660367e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.92338091098954707898401048497331
y1[1] (numeric) = 0.92338091098954707898401048497332
absolute error = 1e-32
relative error = 1.0829766871922266430450156110356e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1342.7MB, alloc=4.6MB, time=82.68
x[1] = 0.395
y2[1] (analytic) = 0.38480818880824502477887704065397
y2[1] (numeric) = 0.38480818880824502477887704065401
absolute error = 4e-32
relative error = 1.0394789186758321671100504698038e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.92299656436311725225693055324085
y1[1] (numeric) = 0.92299656436311725225693055324087
absolute error = 2e-32
relative error = 2.1668553028472351457114989502150e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1346.6MB, alloc=4.6MB, time=82.92
x[1] = 0.396
y2[1] (analytic) = 0.38573099281469701854707244735207
y2[1] (numeric) = 0.3857309928146970185470724473521
absolute error = 3e-32
relative error = 7.7774409002213181943742619975788e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.92261129474019997879039807838253
y1[1] (numeric) = 0.92261129474019997879039807838255
absolute error = 2e-32
relative error = 2.1677601514332036584482484402148e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1350.4MB, alloc=4.6MB, time=83.15
x[1] = 0.397
y2[1] (analytic) = 0.38665341109018834186657905676835
y2[1] (numeric) = 0.38665341109018834186657905676838
absolute error = 3e-32
relative error = 7.7588866771958695480201344845105e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.92222510250606484939588568735141
y1[1] (numeric) = 0.92222510250606484939588568735143
absolute error = 2e-32
relative error = 2.1686679256129306625997742787701e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1354.2MB, alloc=4.6MB, time=83.39
x[1] = 0.398
y2[1] (analytic) = 0.38757544271230079611426061140022
y2[1] (numeric) = 0.38757544271230079611426061140025
absolute error = 3e-32
relative error = 7.7404284931099597948527116185963e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.92183798804690406602583766948861
y1[1] (numeric) = 0.92183798804690406602583766948863
absolute error = 2e-32
relative error = 2.1695786308800261121902873474963e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1358.0MB, alloc=4.6MB, time=83.62
x[1] = 0.399
y2[1] (analytic) = 0.3884970867590028360136288117384
y2[1] (numeric) = 0.38849708675900283601362881173843
absolute error = 3e-32
relative error = 7.7220656273826730554503806882742e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.92144995174983205558150020676146
y1[1] (numeric) = 0.92144995174983205558150020676148
absolute error = 2e-32
relative error = 2.1704922727512254406741906904415e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1361.8MB, alloc=4.6MB, time=83.87
TOP MAIN SOLVE Loop
memory used=1365.6MB, alloc=4.6MB, time=84.10
x[1] = 0.4
y2[1] (analytic) = 0.38941834230865049166631175679571
y2[1] (numeric) = 0.38941834230865049166631175679574
absolute error = 3e-32
relative error = 7.7037973666433492110340618900883e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.9210609940028850827985267320518
y1[1] (numeric) = 0.92106099400288508279852673205182
absolute error = 2e-32
relative error = 2.1714088567664774062278599103175e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1369.5MB, alloc=4.6MB, time=84.33
x[1] = 0.401
y2[1] (analytic) = 0.39033920843998829019594703881735
y2[1] (numeric) = 0.39033920843998829019594703881739
absolute error = 4e-32
relative error = 1.0247497339522247446882379722206e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.92067111519502086221074552985688
y1[1] (numeric) = 0.9206711151950208622107455298569
absolute error = 2e-32
relative error = 2.1723283884890324213896832446833e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1373.3MB, alloc=4.6MB, time=84.56
x[1] = 0.402
y2[1] (analytic) = 0.39125968423215017700357784835651
y2[1] (numeric) = 0.39125968423215017700357784835655
absolute error = 4e-32
relative error = 1.0223389122878907210759821616286e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.92028031571611816919247761560285
y1[1] (numeric) = 0.92028031571611816919247761560287
absolute error = 2e-32
relative error = 2.1732508735055313698297090249359e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1377.1MB, alloc=4.6MB, time=84.80
x[1] = 0.403
y2[1] (analytic) = 0.39217976876466043663363083439577
y2[1] (numeric) = 0.39217976876466043663363083439581
absolute error = 4e-32
relative error = 1.0199404249229193009725824470568e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.91988859595697645007979385122064
y1[1] (numeric) = 0.91988859595697645007979385122065
absolute error = 1e-32
relative error = 1.0870881587130474565248940015103e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1380.9MB, alloc=4.6MB, time=85.03
x[1] = 0.404
y2[1] (analytic) = 0.39309946111743461324955485361347
y2[1] (numeric) = 0.39309946111743461324955485361351
absolute error = 4e-32
relative error = 1.0175541804686013506291784439434e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.91949595630931543137110117569449
y1[1] (numeric) = 0.9194959563093154313711011756945
absolute error = 1e-32
relative error = 1.0875523629422066449173931581915e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1384.7MB, alloc=4.6MB, time=85.26
memory used=1388.5MB, alloc=4.6MB, time=85.50
x[1] = 0.405
y2[1] (analytic) = 0.39401876037078043071820013323271
y2[1] (numeric) = 0.39401876037078043071820013323275
absolute error = 4e-32
relative error = 1.0151800884394212335267764694996e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.91910239716577472800744874996453
y1[1] (numeric) = 0.91910239716577472800744874996454
absolute error = 1e-32
relative error = 1.0880180522689183056476414679602e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1392.3MB, alloc=4.6MB, time=85.74
x[1] = 0.406
y2[1] (analytic) = 0.39493766560539871230201776315066
y2[1] (numeric) = 0.3949376656053987123020177631507
absolute error = 4e-32
relative error = 1.0128180592419344230910570637555e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.9187079189199134507329457358444
y1[1] (numeric) = 0.91870791891991345073294573584441
absolute error = 1e-32
relative error = 1.0884852295337328271810773008416e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1396.2MB, alloc=4.6MB, time=85.97
x[1] = 0.407
y2[1] (analytic) = 0.39585617590238429995815982522535
y2[1] (numeric) = 0.39585617590238429995815982522538
absolute error = 3e-32
relative error = 7.5785100312285681301900029526487e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.91831252196620981253568334850355
y1[1] (numeric) = 0.91831252196620981253568334850356
absolute error = 1e-32
relative error = 1.0889538975891215783067964030870e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1400.0MB, alloc=4.6MB, time=86.21
x[1] = 0.408
y2[1] (analytic) = 0.39677429034322697324356086069621
y2[1] (numeric) = 0.39677429034322697324356086069625
absolute error = 4e-32
relative error = 1.0081298353630288090788803260249e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.91791620670006073416955474155938
y1[1] (numeric) = 0.91791620670006073416955474155939
absolute error = 1e-32
relative error = 1.0894240592995228076676963284722e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1403.8MB, alloc=4.6MB, time=86.44
x[1] = 0.409
y2[1] (analytic) = 0.39769200800981236782508177073383
y2[1] (numeric) = 0.39769200800981236782508177073387
absolute error = 4e-32
relative error = 1.0058034658572537530934404694972e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.91751897351778144875736720292634
y1[1] (numeric) = 0.91751897351778144875736720292635
absolute error = 1e-32
relative error = 1.0898957175413877968679018864632e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1407.6MB, alloc=4.6MB, time=86.68
memory used=1411.4MB, alloc=4.6MB, time=86.91
x[1] = 0.41
y2[1] (analytic) = 0.39860932798442289359379764005114
y2[1] (numeric) = 0.39860932798442289359379764005118
absolute error = 4e-32
relative error = 1.0034888095133374599884491128482e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.91712082281660510547564205827702
y1[1] (numeric) = 0.91712082281660510547564205827703
absolute error = 1e-32
relative error = 1.0903688752032272686284200446165e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1415.2MB, alloc=4.6MB, time=87.15
x[1] = 0.411
y2[1] (analytic) = 0.3995262493497386523825113693651
y2[1] (numeric) = 0.39952624934973865238251136936513
absolute error = 3e-32
relative error = 7.5088933577774754823854262655155e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.91672175499468237232149859728209
y1[1] (numeric) = 0.91672175499468237232149859728211
absolute error = 2e-32
relative error = 2.1816870703713161029447099224486e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1419.0MB, alloc=4.6MB, time=87.38
x[1] = 0.412
y2[1] (analytic) = 0.40044277118883835528557539927145
y2[1] (numeric) = 0.40044277118883835528557539927148
absolute error = 3e-32
relative error = 7.4917072197197395039179107831999e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.91632177045108103796201925571231
y1[1] (numeric) = 0.91632177045108103796201925571232
absolute error = 1e-32
relative error = 1.0913197004014500024314756274700e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1422.9MB, alloc=4.6MB, time=87.61
x[1] = 0.413
y2[1] (analytic) = 0.40135889258520023958010420578745
y2[1] (numeric) = 0.40135889258520023958010420578749
absolute error = 4e-32
relative error = 9.9661427064329520336276200726753e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.91592086958578561266649420400396
y1[1] (numeric) = 0.91592086958578561266649420400397
absolute error = 1e-32
relative error = 1.0917973737755731892764706588433e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1426.7MB, alloc=4.6MB, time=87.85
x[1] = 0.414
y2[1] (analytic) = 0.40227461262270298524766064642639
y2[1] (numeric) = 0.40227461262270298524766064642643
absolute error = 4e-32
relative error = 9.9434562224080403230295990120675e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.91551905279969692832194441001016
y1[1] (numeric) = 0.91551905279969692832194441001017
absolute error = 1e-32
relative error = 1.0922765582452453337838477924483e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1430.5MB, alloc=4.6MB, time=88.08
x[1] = 0.415
y2[1] (analytic) = 0.4031899303856266310954996351939
y2[1] (numeric) = 0.40318993038562663109549963519394
absolute error = 4e-32
relative error = 9.9208826871599780080242332572797e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.91511632049463173753232316038139
y1[1] (numeric) = 0.9151163204946317375323231603814
absolute error = 1e-32
relative error = 1.0927572567599795175631403259152e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1434.3MB, alloc=4.6MB, time=88.32
TOP MAIN SOLVE Loop
memory used=1438.1MB, alloc=4.6MB, time=88.56
x[1] = 0.416
y2[1] (analytic) = 0.40410484495865349047645302533885
y2[1] (numeric) = 0.40410484495865349047645302533889
absolute error = 4e-32
relative error = 9.8984212881913483864819381196430e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.9147126730733223118017969413405
y1[1] (numeric) = 0.91471267307332231180179694134051
absolute error = 1e-32
relative error = 1.0932394722816321519788697873839e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1441.9MB, alloc=4.6MB, time=88.79
x[1] = 0.417
y2[1] (analytic) = 0.40501935542686906660653998005014
y2[1] (numeric) = 0.40501935542686906660653998005018
absolute error = 4e-32
relative error = 9.8760712208042766159547279682507e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.91430811093941603880250749553771
y1[1] (numeric) = 0.91430811093941603880250749553772
absolute error = 1e-32
relative error = 1.0937232077844512137125842737185e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1445.7MB, alloc=4.6MB, time=89.03
x[1] = 0.418
y2[1] (analytic) = 0.40593346087576296747938751356535
y2[1] (numeric) = 0.40593346087576296747938751356539
absolute error = 4e-32
relative error = 9.8538316880071406773623546361553e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.91390263449747501872721778719006
y1[1] (numeric) = 0.91390263449747501872721778719007
absolute error = 1e-32
relative error = 1.0942084662551247475212458618211e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1449.6MB, alloc=4.6MB, time=89.26
x[1] = 0.419
y2[1] (analytic) = 0.40684716039122982037654628834693
y2[1] (numeric) = 0.40684716039122982037654628834697
absolute error = 4e-32
relative error = 9.8317019004226182419508846578534e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.91349624415297565972724552282569
y1[1] (numeric) = 0.9134962441529756597272455228257
absolute error = 1e-32
relative error = 1.0946952506928296377592790186274e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1453.4MB, alloc=4.6MB, time=89.50
x[1] = 0.42
y2[1] (analytic) = 0.40776045305957018597278715808634
y2[1] (numeric) = 0.40776045305957018597278715808638
absolute error = 4e-32
relative error = 9.8096810761970471765127527641685e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.91308894031230827243608878966567
y1[1] (numeric) = 0.91308894031230827243608878966567
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1457.2MB, alloc=4.6MB, time=89.73
memory used=1461.0MB, alloc=4.6MB, time=89.97
x[1] = 0.421
y2[1] (analytic) = 0.40867333796749147203546435131582
y2[1] (numeric) = 0.40867333796749147203546435131586
absolute error = 4e-32
relative error = 9.7877684409110778449455816005453e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.91268072338277666357914928798398
y1[1] (numeric) = 0.91268072338277666357914928798398
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1464.8MB, alloc=4.6MB, time=90.21
x[1] = 0.422
y2[1] (analytic) = 0.40958581420210884671703159634065
y2[1] (numeric) = 0.40958581420210884671703159634069
absolute error = 4e-32
relative error = 9.7659632274915957782921014440664e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.91227159377259772866995954768862
y1[1] (numeric) = 0.91227159377259772866995954768862
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1468.6MB, alloc=4.6MB, time=90.44
x[1] = 0.423
y2[1] (analytic) = 0.41049788085094615143979789505198
y2[1] (numeric) = 0.41049788085094615143979789505202
absolute error = 4e-32
relative error = 9.7442646761248936906586534022070e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.91186155189090104379332143286255
y1[1] (numeric) = 0.91186155189090104379332143286254
absolute error = 1e-32
relative error = 1.0966577085373638073046360026921e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1472.4MB, alloc=4.6MB, time=90.67
x[1] = 0.424
y2[1] (analytic) = 0.41140953700193681337201006094047
y2[1] (numeric) = 0.41140953700193681337201006094051
absolute error = 4e-32
relative error = 9.7226720341710722150627957056176e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.911450598147728456475764151092
y1[1] (numeric) = 0.91145059814772845647576415109199
absolute error = 1e-32
relative error = 1.0971521682384363345023532372612e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1476.3MB, alloc=4.6MB, time=90.91
x[1] = 0.425
y2[1] (analytic) = 0.41232078174342475749434954530431
y2[1] (numeric) = 0.41232078174342475749434954530435
absolute error = 4e-32
relative error = 9.7011845560796491215138579323319e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.91103873295403367564373089709014
y1[1] (numeric) = 0.91103873295403367564373089709013
absolute error = 1e-32
relative error = 1.0976481721666326253890210251424e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1480.1MB, alloc=4.6MB, time=91.14
x[1] = 0.426
y2[1] (analytic) = 0.41323161416416531825593148523067
y2[1] (numeric) = 0.41323161416416531825593148523071
absolute error = 4e-32
relative error = 9.6798015033063571596810786359151e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.91062595672168186066990417239512
y1[1] (numeric) = 0.91062595672168186066990417239511
absolute error = 1e-32
relative error = 1.0981457234099399545808867643122e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1483.9MB, alloc=4.6MB, time=91.38
TOP MAIN SOLVE Loop
memory used=1487.7MB, alloc=4.6MB, time=91.62
x[1] = 0.427
y2[1] (analytic) = 0.41414203335332615081889431742766
y2[1] (numeric) = 0.4141420333533261508188943174277
absolute error = 4e-32
relative error = 9.6585221442311110405443147258658e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.91021226986344920950808073478303
y1[1] (numeric) = 0.91021226986344920950808073478302
absolute error = 1e-32
relative error = 1.0986448250692344757482343403711e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1491.5MB, alloc=4.6MB, time=91.85
x[1] = 0.428
y2[1] (analytic) = 0.41505203840048814189066871339302
y2[1] (numeric) = 0.41505203840048814189066871339306
absolute error = 4e-32
relative error = 9.6373457540771244356393858276575e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.90979767279302254591700804248653
y1[1] (numeric) = 0.90979767279302254591700804248652
absolute error = 1e-32
relative error = 1.0991454802583324844035923962031e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1495.3MB, alloc=4.6MB, time=92.09
x[1] = 0.429
y2[1] (analytic) = 0.41596162839564632014301500372652
y2[1] (numeric) = 0.41596162839564632014301500372656
absolute error = 4e-32
relative error = 9.6162716148311582290862745264907e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.90938216592499890577359496934819
y1[1] (numeric) = 0.90938216592499890577359496934817
absolute error = 2e-32
relative error = 2.1992953842080839315059628708188e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1499.2MB, alloc=4.6MB, time=92.32
x[1] = 0.43
y2[1] (analytic) = 0.41687080242921076621691867262457
y2[1] (numeric) = 0.4168708024292107662169186726246
absolute error = 3e-32
relative error = 7.1964742613736612050260047179132e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.90896574967488512247591047766345
y1[1] (numeric) = 0.90896574967488512247591047766343
absolute error = 2e-32
relative error = 2.2003029274924288586094653589129e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1503.0MB, alloc=4.6MB, time=92.56
x[1] = 0.431
y2[1] (analytic) = 0.41777955959200752231243391773727
y2[1] (numeric) = 0.41777955959200752231243391773731
absolute error = 4e-32
relative error = 9.5744272503573279083175749020690e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.90854842445909741143638484567998
y1[1] (numeric) = 0.90854842445909741143638484567997
absolute error = 1e-32
relative error = 1.1006567983377970319425245429763e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1506.8MB, alloc=4.6MB, time=92.80
memory used=1510.6MB, alloc=4.6MB, time=93.04
x[1] = 0.432
y2[1] (analytic) = 0.41868789897527950136256568562034
y2[1] (numeric) = 0.41868789897527950136256568562037
absolute error = 3e-32
relative error = 7.1652417166638206281038838563030e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.90813019069496095366562895651753
y1[1] (numeric) = 0.90813019069496095366562895651752
absolute error = 1e-32
relative error = 1.1011636990448849911814902803781e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1514.4MB, alloc=4.6MB, time=93.27
x[1] = 0.433
y2[1] (analytic) = 0.41959581967068739579028100897533
y2[1] (numeric) = 0.41959581967068739579028100897536
absolute error = 3e-32
relative error = 7.1497375792602002127720640230471e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.90771104880070947844728806465426
y1[1] (numeric) = 0.90771104880070947844728806465425
absolute error = 1e-32
relative error = 1.1016721690467742903385536275006e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1518.2MB, alloc=4.6MB, time=93.51
x[1] = 0.434
y2[1] (analytic) = 0.42050332077031058584774088874292
y2[1] (numeric) = 0.42050332077031058584774088874294
absolute error = 2e-32
relative error = 4.7562050076946953334654772190974e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.90729099919548484510434736509116
y1[1] (numeric) = 0.90729099919548484510434736509115
absolute error = 1e-32
relative error = 1.1021822115360146773605489601626e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1522.0MB, alloc=4.6MB, time=93.74
x[1] = 0.435
y2[1] (analytic) = 0.42141040136664804753684438189271
y2[1] (numeric) = 0.42141040136664804753684438189273
absolute error = 2e-32
relative error = 4.7459673361500641806108164098112e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.90687004229933662385730759885391
y1[1] (numeric) = 0.9068700422993366238573075988539
absolute error = 1e-32
relative error = 1.1026938297184629590661794710113e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1525.9MB, alloc=4.6MB, time=93.97
x[1] = 0.436
y2[1] (analytic) = 0.4223170605526192601101769744414
y2[1] (numeric) = 0.42231706055261926011017697444143
absolute error = 3e-32
relative error = 7.1036675527016987970064851551608e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.90644817853322167577464983662187
y1[1] (numeric) = 0.90644817853322167577464983662186
absolute error = 1e-32
relative error = 1.1032070268133365925704619891571e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1529.7MB, alloc=4.6MB, time=94.21
x[1] = 0.437
y2[1] (analytic) = 0.42322329742156511315145573882644
y2[1] (numeric) = 0.42322329742156511315145573882647
absolute error = 3e-32
relative error = 7.0884566569872782011051919607947e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.90602540831900373181600948998423
y1[1] (numeric) = 0.90602540831900373181600948998422
absolute error = 1e-32
relative error = 1.1037218060532675756730012041528e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1533.5MB, alloc=4.6MB, time=94.45
TOP MAIN SOLVE Loop
memory used=1537.3MB, alloc=4.6MB, time=94.68
x[1] = 0.438
y2[1] (analytic) = 0.42412911106724881323456419526555
y2[1] (numeric) = 0.42412911106724881323456419526557
absolute error = 2e-32
relative error = 4.7155452144450541631758957129002e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.90560173207945297096848050711436
y1[1] (numeric) = 0.90560173207945297096848050711436
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1541.1MB, alloc=4.6MB, time=94.92
x[1] = 0.439
y2[1] (analytic) = 0.42503450058385679016027021814296
y2[1] (numeric) = 0.42503450058385679016027021814299
absolute error = 3e-32
relative error = 7.0582505558466253593918757866471e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.90517715023824559747647161652294
y1[1] (numeric) = 0.90517715023824559747647161652294
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1544.9MB, alloc=4.6MB, time=95.15
x[1] = 0.44
y2[1] (analytic) = 0.42593946506599960276972075077992
y2[1] (numeric) = 0.42593946506599960276972075077994
absolute error = 2e-32
relative error = 4.6955029153969066303347553414383e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.90475166321996341716553738899837
y1[1] (numeric) = 0.90475166321996341716553738899837
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1548.7MB, alloc=4.6MB, time=95.38
x[1] = 0.441
y2[1] (analytic) = 0.42684400360871284433380751517007
y2[1] (numeric) = 0.4268440036087128443338075151701
absolute error = 3e-32
relative error = 7.0283287914010261741292161093605e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.90432527145009341286060779386822
y1[1] (numeric) = 0.90432527145009341286060779386822
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1552.6MB, alloc=4.6MB, time=95.62
x[1] = 0.442
y2[1] (analytic) = 0.42774811530745804751749832738978
y2[1] (numeric) = 0.42774811530745804751749832738981
absolute error = 3e-32
relative error = 7.0134733331172042282027198338809e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.90389797535502731889904083131662
y1[1] (numeric) = 0.90389797535502731889904083131662
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1556.4MB, alloc=4.6MB, time=95.85
memory used=1560.2MB, alloc=4.6MB, time=96.09
x[1] = 0.443
y2[1] (analytic) = 0.42865179925812358891822905442715
y2[1] (numeric) = 0.42865179925812358891822905442718
absolute error = 3e-32
relative error = 6.9986875249145371214266665345893e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.90346977536206119473892372766962
y1[1] (numeric) = 0.90346977536206119473892372766962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1564.0MB, alloc=4.6MB, time=96.32
x[1] = 0.444
y2[1] (analytic) = 0.42955505455702559317745167411342
y2[1] (numeric) = 0.42955505455702559317745167411345
absolute error = 3e-32
relative error = 6.9839708977321204279363593187274e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.9030406718993949976630490853117
y1[1] (numeric) = 0.9030406718993949976630490853117
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1567.8MB, alloc=4.6MB, time=96.56
x[1] = 0.445
y2[1] (analytic) = 0.43045788030090883666443432668387
y2[1] (numeric) = 0.4304578803009088366644343266839
absolute error = 3e-32
relative error = 6.9693229867295474477654143642488e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.9026106653961321545789932832218
y1[1] (numeric) = 0.9026106653961321545789932832218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1571.6MB, alloc=4.6MB, time=96.79
x[1] = 0.446
y2[1] (analytic) = 0.43136027558694765073140967424357
y2[1] (numeric) = 0.4313602755869476507314096742436
absolute error = 3e-32
relative error = 6.9547433312395995210476414867604e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.90217975628227913291572532801462
y1[1] (numeric) = 0.90217975628227913291572532801461
absolute error = 1e-32
relative error = 1.1084265558349707781717733888835e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1575.4MB, alloc=4.6MB, time=97.03
x[1] = 0.447
y2[1] (analytic) = 0.43226223951274682453916831306481
y2[1] (numeric) = 0.43226223951274682453916831306484
absolute error = 3e-32
relative error = 6.9402314747215713879872932643911e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.9017479449887450106171752588427
y1[1] (numeric) = 0.90174794498874501061717525884269
absolute error = 1e-32
relative error = 1.1089573373105733033385910269229e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1579.3MB, alloc=4.6MB, time=97.26
x[1] = 0.448
y2[1] (analytic) = 0.43316377117634250745219441319813
y2[1] (numeric) = 0.43316377117634250745219441319816
absolute error = 3e-32
relative error = 6.9257869647152216720414392570399e-30 %
Correct digits = 31
h = 0.001
memory used=1583.1MB, alloc=4.6MB, time=97.50
y1[1] (analytic) = 0.90131523194734104523319211255506
y1[1] (numeric) = 0.90131523194734104523319211255505
absolute error = 1e-32
relative error = 1.1094897373912622059132403946480e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1586.9MB, alloc=4.6MB, time=97.74
x[1] = 0.449
y2[1] (analytic) = 0.43406486967620311100244119033643
y2[1] (numeric) = 0.43406486967620311100244119033646
absolute error = 3e-32
relative error = 6.9114093527953387405522176262936e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.90088161759078024210832235811838
y1[1] (numeric) = 0.90088161759078024210832235811837
absolute error = 1e-32
relative error = 1.1100237594749587332642771591024e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1590.7MB, alloc=4.6MB, time=97.97
x[1] = 0.45
y2[1] (analytic) = 0.4349655341112302104208442462319
y2[1] (numeric) = 0.43496553411123021042084424623192
absolute error = 2e-32
relative error = 4.5980654630179415802165551129761e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.90044710235267692166884061148645
y1[1] (numeric) = 0.90044710235267692166884061148644
absolute error = 1e-32
relative error = 1.1105594069737272884444606710116e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1594.5MB, alloc=4.6MB, time=98.20
x[1] = 0.451
y2[1] (analytic) = 0.43586576358075944573567124622747
y2[1] (numeric) = 0.43586576358075944573567124622749
absolute error = 2e-32
relative error = 4.5885686996139345436318695362377e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.90001168666754628580846534385106
y1[1] (numeric) = 0.90001168666754628580846534385105
absolute error = 1e-32
relative error = 1.1110966833138337004656911332807e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1598.3MB, alloc=4.6MB, time=98.44
x[1] = 0.452
y2[1] (analytic) = 0.43676555718456142243680683562839
y2[1] (numeric) = 0.43676555718456142243680683562841
absolute error = 2e-32
relative error = 4.5791156539270606940477515154839e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.89957537097080398337319319752249
y1[1] (numeric) = 0.89957537097080398337319319752248
absolute error = 1e-32
relative error = 1.1116355919358038218513076101737e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1602.2MB, alloc=4.6MB, time=98.67
x[1] = 0.453
y2[1] (analytic) = 0.43766491402284261170507213070383
y2[1] (numeric) = 0.43766491402284261170507213070385
absolute error = 2e-32
relative error = 4.5697060374723480333168661495391e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.89913815569876567474568642456905
y1[1] (numeric) = 0.89913815569876567474568642456903
absolute error = 2e-32
relative error = 2.2243522725889649109288115083088e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1606.0MB, alloc=4.6MB, time=98.90
memory used=1609.8MB, alloc=4.6MB, time=99.14
x[1] = 0.454
y2[1] (analytic) = 0.43856383319624625020567855507421
y2[1] (numeric) = 0.43856383319624625020567855507423
absolute error = 2e-32
relative error = 4.5603395643093315924199699858656e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.89870004128864659552964886379195
y1[1] (numeric) = 0.89870004128864659552964886379193
absolute error = 2e-32
relative error = 2.2254366397181852252507064117118e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1613.6MB, alloc=4.6MB, time=99.38
x[1] = 0.455
y2[1] (analytic) = 0.43946231380585323944491622810532
y2[1] (numeric) = 0.43946231380585323944491622810533
absolute error = 1e-32
relative error = 2.2755079755070476920620552155018e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.89826102817856111933462677162328
y1[1] (numeric) = 0.89826102817856111933462677162326
absolute error = 2e-32
relative error = 2.2265242922265902090926318300223e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1617.4MB, alloc=4.6MB, time=99.61
x[1] = 0.456
y2[1] (analytic) = 0.44036035495318304468917754869582
y2[1] (numeric) = 0.44036035495318304468917754869583
absolute error = 1e-32
relative error = 2.2708674583258411178118926462703e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.89782111680752231966167172210963
y1[1] (numeric) = 0.89782111680752231966167172210961
absolute error = 2e-32
relative error = 2.2276152371104969382507223666644e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1621.2MB, alloc=4.6MB, time=99.85
x[1] = 0.457
y2[1] (analytic) = 0.44125795574019459344541705550947
y2[1] (numeric) = 0.44125795574019459344541705550948
absolute error = 1e-32
relative error = 2.2662480913744329331323879533012e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.89738030761544153089030369028207
y1[1] (numeric) = 0.89738030761544153089030369028205
absolute error = 2e-32
relative error = 2.2287094813953384703151482029441e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1625.0MB, alloc=4.6MB, time=100.08
x[1] = 0.458
y2[1] (analytic) = 0.44215511526928717350214908326701
y2[1] (numeric) = 0.44215511526928717350214908326703
absolute error = 2e-32
relative error = 4.5232994732672796738766541225653e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.89693860104312790836721333191287
y1[1] (numeric) = 0.89693860104312790836721333191285
absolute error = 2e-32
relative error = 2.2298070321357850520712286179923e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1628.9MB, alloc=4.6MB, time=100.32
memory used=1632.7MB, alloc=4.6MB, time=100.56
x[1] = 0.459
y2[1] (analytic) = 0.44305183264330133053008517417501
y2[1] (numeric) = 0.44305183264330133053008517417503
absolute error = 2e-32
relative error = 4.5141445145768967897363232810856e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.89649599753228798759714337091984
y1[1] (numeric) = 0.89649599753228798759714337091983
absolute error = 1e-32
relative error = 1.1154539482079330050272507269036e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1636.5MB, alloc=4.6MB, time=100.80
x[1] = 0.46
y2[1] (analytic) = 0.4439481069655197652415136439289
y2[1] (numeric) = 0.44394810696551976524151364392892
absolute error = 2e-32
relative error = 4.5050310354298560567933411674058e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.89605249752552524253638990350041
y1[1] (numeric) = 0.89605249752552524253638990350039
absolute error = 2e-32
relative error = 2.2320120813490923284652883710187e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1640.3MB, alloc=4.6MB, time=101.03
x[1] = 0.461
y2[1] (analytic) = 0.44484393733966823010752414298558
y2[1] (numeric) = 0.44484393733966823010752414298561
absolute error = 3e-32
relative error = 6.7439381504019430178237138850905e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.89560810146633964298936532545704
y1[1] (numeric) = 0.89560810146633964298936532545703
absolute error = 1e-32
relative error = 1.1165597970392899593395027960309e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1644.1MB, alloc=4.6MB, time=101.27
x[1] = 0.462
y2[1] (analytic) = 0.44573932286991642563218049595565
y2[1] (numeric) = 0.44573932286991642563218049595567
absolute error = 2e-32
relative error = 4.4869274425305203769366094750099e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.89516280979912721110866548611451
y1[1] (numeric) = 0.8951628097991272111086654861145
absolute error = 1e-32
relative error = 1.1171152208885867923097136025077e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1647.9MB, alloc=4.6MB, time=101.50
x[1] = 0.463
y2[1] (analytic) = 0.44663426266087889618274554501705
y2[1] (numeric) = 0.44663426266087889618274554501707
absolute error = 2e-32
relative error = 4.4779367979625039867327561071813e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.8947166229691795769990845687246
y1[1] (numeric) = 0.89471662296917957699908456872459
absolute error = 1e-32
relative error = 1.1176723158237858441466576232054e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1651.7MB, alloc=4.6MB, time=101.74
x[1] = 0.464
y2[1] (analytic) = 0.44752875581761592537506216720012
y2[1] (numeric) = 0.44752875581761592537506216720015
absolute error = 3e-32
relative error = 6.7034798568845662522405651063585e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.89426954142268353342602209330656
y1[1] (numeric) = 0.89426954142268353342602209330655
absolute error = 1e-32
relative error = 1.1182310854612257599081449800410e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1655.6MB, alloc=4.6MB, time=101.98
TOP MAIN SOLVE Loop
memory used=1659.4MB, alloc=4.6MB, time=102.21
x[1] = 0.465
y2[1] (analytic) = 0.44842280144563443101319508023752
y2[1] (numeric) = 0.44842280144563443101319508023755
absolute error = 3e-32
relative error = 6.6901147540413640076473167541059e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.89382156560672058962872733347906
y1[1] (numeric) = 0.89382156560672058962872733347905
absolute error = 1e-32
relative error = 1.1187915334322976881457635646674e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1663.2MB, alloc=4.6MB, time=102.45
x[1] = 0.466
y2[1] (analytic) = 0.44931639865088885958243849741175
y2[1] (numeric) = 0.44931639865088885958243849741179
absolute error = 4e-32
relative error = 8.9024126695805986808530238806749e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.89337269596926652423882733400213
y1[1] (numeric) = 0.89337269596926652423882733400212
absolute error = 1e-32
relative error = 1.1193536633835086769674197558954e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1667.0MB, alloc=4.6MB, time=102.69
x[1] = 0.467
y2[1] (analytic) = 0.45020954653978208029479513846738
y2[1] (numeric) = 0.45020954653978208029479513846742
absolute error = 4e-32
relative error = 8.8847516245339015650426257227857e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.89292293295919093730458561046372
y1[1] (numeric) = 0.89292293295919093730458561046372
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1670.8MB, alloc=4.6MB, time=102.92
x[1] = 0.468
y2[1] (analytic) = 0.45110224421916627868603255118318
y2[1] (numeric) = 0.45110224421916627868603255118321
absolute error = 3e-32
relative error = 6.6503770230468230967162567400517e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.892472277026256801421339506815
y1[1] (numeric) = 0.892472277026256801421339506815
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1674.6MB, alloc=4.6MB, time=103.16
x[1] = 0.469
y2[1] (analytic) = 0.45199449079634384976342314662252
y2[1] (numeric) = 0.45199449079634384976342314662255
absolute error = 3e-32
relative error = 6.6372490397271602754827602645252e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.89202072862112001196856508027942
y1[1] (numeric) = 0.89202072862112001196856508027942
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1678.4MB, alloc=4.6MB, time=103.39
memory used=1682.3MB, alloc=4.6MB, time=103.63
x[1] = 0.47
y2[1] (analytic) = 0.45288628537906829070327480039641
y2[1] (numeric) = 0.45288628537906829070327480039644
absolute error = 3e-32
relative error = 6.6241793952514672404578861362144e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.89156828819532893645401927653339
y1[1] (numeric) = 0.89156828819532893645401927653339
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1686.1MB, alloc=4.6MB, time=103.87
x[1] = 0.471
y2[1] (analytic) = 0.45377762707554509309735932248279
y2[1] (numeric) = 0.45377762707554509309735932248283
absolute error = 4e-32
relative error = 8.8148902928043173274099934196001e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.89111495620132396296541005097869
y1[1] (numeric) = 0.89111495620132396296541005097869
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1689.9MB, alloc=4.6MB, time=104.11
x[1] = 0.472
y2[1] (analytic) = 0.45466851499443263474734654924825
y2[1] (numeric) = 0.45466851499443263474734654924829
absolute error = 4e-32
relative error = 8.7976181945410923249048812269718e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.89066073309243704773004598439895
y1[1] (numeric) = 0.89066073309243704773004598439894
absolute error = 1e-32
relative error = 1.1227619707988352486577934387919e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1693.7MB, alloc=4.6MB, time=104.34
x[1] = 0.473
y2[1] (analytic) = 0.45555894824484307100635226331207
y2[1] (numeric) = 0.45555894824484307100635226331211
absolute error = 4e-32
relative error = 8.7804224138522999913929785756948e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.89020561932289126178291783331278
y1[1] (numeric) = 0.89020561932289126178291783331277
absolute error = 1e-32
relative error = 1.1233359779964325620130509045629e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1697.5MB, alloc=4.6MB, time=104.58
x[1] = 0.474
y2[1] (analytic) = 0.45644892593634322566670859977923
y2[1] (numeric) = 0.45644892593634322566670859977927
absolute error = 4e-32
relative error = 8.7633024698098283349560546802955e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.88974961534780033674366534690441
y1[1] (numeric) = 0.8897496153478003367436653469044
absolute error = 1e-32
relative error = 1.1239116968981246857282291654267e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1701.3MB, alloc=4.6MB, time=104.81
x[1] = 0.475
y2[1] (analytic) = 0.45733844717895548139306605114609
y2[1] (numeric) = 0.45733844717895548139306605114613
absolute error = 4e-32
relative error = 8.7462578855409661407826410222987e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.88929272162316820970288357352693
y1[1] (numeric) = 0.88929272162316820970288357352692
absolute error = 1e-32
relative error = 1.1244891312893745379301824617937e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1705.1MB, alloc=4.6MB, time=105.05
TOP MAIN SOLVE Loop
memory used=1709.0MB, alloc=4.6MB, time=105.29
x[1] = 0.476
y2[1] (analytic) = 0.45822751108315866969993663785086
y2[1] (numeric) = 0.45822751108315866969993663785091
absolute error = 5e-32
relative error = 1.0911610235232264368679234991757e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.88883493860588856721822377043406
y1[1] (numeric) = 0.88883493860588856721822377043405
absolute error = 1e-32
relative error = 1.1250682849714150061864524533318e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1712.8MB, alloc=4.6MB, time=105.52
x[1] = 0.477
y2[1] (analytic) = 0.45911611675988896047278826700008
y2[1] (numeric) = 0.45911611675988896047278826700013
absolute error = 5e-32
relative error = 1.0890491136069020089842364419873e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.88837626675374438842074492060154
y1[1] (numeric) = 0.88837626675374438842074492060153
absolute error = 1e-32
relative error = 1.1256491617613164161140392157565e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1716.6MB, alloc=4.6MB, time=105.76
x[1] = 0.478
y2[1] (analytic) = 0.46000426332054075103180075825063
y2[1] (numeric) = 0.46000426332054075103180075825068
absolute error = 5e-32
relative error = 1.0869464478236571674625043523921e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.88791670652540748723197275024844
y1[1] (numeric) = 0.88791670652540748723197275024843
absolute error = 1e-32
relative error = 1.1262317654920543842678767071606e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1720.4MB, alloc=4.6MB, time=106.00
x[1] = 0.479
y2[1] (analytic) = 0.46089194987696755473739447316549
y2[1] (numeric) = 0.46089194987696755473739447316554
absolute error = 5e-32
relative error = 1.0848529685395288710723081657152e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.88745625838043805369212402996133
y1[1] (numeric) = 0.88745625838043805369212402996132
absolute error = 1e-32
relative error = 1.1268161000125780577258209249590e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1724.2MB, alloc=4.6MB, time=106.23
x[1] = 0.48
y2[1] (analytic) = 0.46177917554148288913664294258864
y2[1] (numeric) = 0.46177917554148288913664294258869
absolute error = 5e-32
relative error = 1.0827686186015194819756811270705e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.88699492277928419439995483115874
y1[1] (numeric) = 0.88699492277928419439995483115873
absolute error = 1e-32
relative error = 1.1274021691878787428048684309357e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1728.0MB, alloc=4.6MB, time=106.47
memory used=1731.9MB, alloc=4.6MB, time=106.71
x[1] = 0.481
y2[1] (analytic) = 0.46266593942686116364968134570045
y2[1] (numeric) = 0.4626659394268611636496813457005
absolute error = 5e-32
relative error = 1.0806933413325980384527613285318e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.88653270018328147206469229800935
y1[1] (numeric) = 0.88653270018328147206469229800934
absolute error = 1e-32
relative error = 1.1279899768990589253613794742235e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1735.7MB, alloc=4.6MB, time=106.94
x[1] = 0.482
y2[1] (analytic) = 0.4635522406463385667952231544191
y2[1] (numeric) = 0.46355224064633856679522315441915
absolute error = 5e-32
relative error = 1.0786270805267637551828371284237e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.88606959105465244417051038283381
y1[1] (numeric) = 0.88606959105465244417051038283379
absolute error = 2e-32
relative error = 2.2571590540868033702925698905256e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1739.5MB, alloc=4.6MB, time=107.18
x[1] = 0.483
y2[1] (analytic) = 0.46443807831361395295429771770524
y2[1] (numeric) = 0.4644380783136139529542977177053
absolute error = 6e-32
relative error = 1.2918837365330050190856999804713e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.88560559585650620075401088047591
y1[1] (numeric) = 0.8856055958565062007540108804759
absolute error = 1e-32
relative error = 1.1291708235344405067046112164811e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1743.3MB, alloc=4.6MB, time=107.42
x[1] = 0.484
y2[1] (analytic) = 0.46532345154284972867132202210636
y2[1] (numeric) = 0.46532345154284972867132202210642
absolute error = 6e-32
relative error = 1.2894256629675765658245570455974e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.88514071505283790129517198412375
y1[1] (numeric) = 0.88514071505283790129517198412374
absolute error = 1e-32
relative error = 1.1297638703020294893271629500802e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1747.1MB, alloc=4.6MB, time=107.65
x[1] = 0.485
y2[1] (analytic) = 0.46620835944867273849162032754275
y2[1] (numeric) = 0.46620835944867273849162032754281
absolute error = 6e-32
relative error = 1.2869782101495266456026110018749e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.88467494910852831072222747159347
y1[1] (numeric) = 0.88467494910852831072222747159346
absolute error = 1e-32
relative error = 1.1303586712924139585808625763331e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1750.9MB, alloc=4.6MB, time=107.88
x[1] = 0.486
y2[1] (analytic) = 0.46709280114617515033450584088946
y2[1] (numeric) = 0.46709280114617515033450584088952
absolute error = 6e-32
relative error = 1.2845413128348171233867659410990e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.88420829848934333453094051715798
y1[1] (numeric) = 0.88420829848934333453094051715796
absolute error = 2e-32
relative error = 2.2619104609366029639261155555265e-30 %
Correct digits = 31
h = 0.001
memory used=1754.7MB, alloc=4.6MB, time=108.12
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1758.6MB, alloc=4.6MB, time=108.36
x[1] = 0.487
y2[1] (analytic) = 0.46797677575091534040103905434617
y2[1] (numeric) = 0.46797677575091534040103905434623
absolute error = 6e-32
relative error = 1.2821149063161099152631923366510e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.88374076366193355301873700960789
y1[1] (numeric) = 0.88374076366193355301873700960788
absolute error = 1e-32
relative error = 1.1315535518089332912440763803658e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1762.4MB, alloc=4.6MB, time=108.59
x[1] = 0.488
y2[1] (analytic) = 0.46886028237891877761557784091055
y2[1] (numeric) = 0.46886028237891877761557784091061
absolute error = 6e-32
relative error = 1.2796989264172691153353038613703e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.88327234509383375463416414237277
y1[1] (numeric) = 0.88327234509383375463416414237276
absolute error = 1e-32
relative error = 1.1321536393101561140814329919753e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1766.2MB, alloc=4.6MB, time=108.83
x[1] = 0.489
y2[1] (analytic) = 0.46974332014667890760023486547853
y2[1] (numeric) = 0.46974332014667890760023486547859
absolute error = 6e-32
relative error = 1.2772933094879305844715825535970e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.88280304325346246844214092620495
y1[1] (numeric) = 0.88280304325346246844214092620494
absolute error = 1e-32
relative error = 1.1327554969844944175083749939063e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1770.0MB, alloc=4.6MB, time=109.07
x[1] = 0.49
y2[1] (analytic) = 0.47062588817115803618135833718796
y2[1] (numeric) = 0.47062588817115803618135833718801
absolute error = 5e-32
relative error = 1.0624149936651150309747700341755e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.88233285861012149570546815913666
y1[1] (numeric) = 0.88233285861012149570546815913665
absolute error = 1e-32
relative error = 1.1333591288612230659188985538320e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1773.8MB, alloc=4.6MB, time=109.31
x[1] = 0.491
y2[1] (analytic) = 0.47150798556978821242715259659826
y2[1] (numeric) = 0.47150798556978821242715259659831
absolute error = 5e-32
relative error = 1.0604274271108705654216490220639e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.88186179163399544058306627216136
y1[1] (numeric) = 0.88186179163399544058306627216136
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1777.6MB, alloc=4.6MB, time=109.54
memory used=1781.4MB, alloc=4.6MB, time=109.78
x[1] = 0.492
y2[1] (analytic) = 0.47238961146047211121555550015936
y2[1] (numeric) = 0.47238961146047211121555550015941
absolute error = 5e-32
relative error = 1.0584483398230662154614424236148e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.88138984279615123994541035236238
y1[1] (numeric) = 0.88138984279615123994541035236238
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1785.3MB, alloc=4.6MB, time=110.02
x[1] = 0.493
y2[1] (analytic) = 0.47327076496158391533149003416583
y2[1] (numeric) = 0.47327076496158391533149003416588
absolute error = 5e-32
relative error = 1.0564776804681475223242563326647e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.88091701256853769230763252801455
y1[1] (numeric) = 0.88091701256853769230763252801455
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1789.1MB, alloc=4.6MB, time=110.25
x[1] = 0.494
y2[1] (analytic) = 0.47415144519197019709260806101824
y2[1] (numeric) = 0.47415144519197019709260806101829
absolute error = 5e-32
relative error = 1.0545153981288920698828757795271e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.88044330142398498588076278251734
y1[1] (numeric) = 0.88044330142398498588076278251734
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1792.9MB, alloc=4.6MB, time=110.48
x[1] = 0.495
y2[1] (analytic) = 0.47503165127095079950264457212144
y2[1] (numeric) = 0.47503165127095079950264457212149
absolute error = 5e-32
relative error = 1.0525614423002050355653096301856e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.87996870983620422574158014587922
y1[1] (numeric) = 0.87996870983620422574158014587922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1796.7MB, alloc=4.6MB, time=110.72
x[1] = 0.496
y2[1] (analytic) = 0.47591138231831971693150129413895
y2[1] (numeric) = 0.475911382318319716931501294139
absolute error = 5e-32
relative error = 1.0506157628849656042785807241024e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.87949323827978696012154709386275
y1[1] (numeric) = 0.87949323827978696012154709386276
absolute error = 1e-32
relative error = 1.1370184061402380862236670991261e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1800.5MB, alloc=4.6MB, time=110.95
memory used=1804.3MB, alloc=4.6MB, time=111.19
x[1] = 0.497
y2[1] (analytic) = 0.47679063745434597532117896859318
y2[1] (numeric) = 0.47679063745434597532117896859324
absolute error = 6e-32
relative error = 1.2584139722279082347632426540342e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.8790168872302047058153008658165
y1[1] (numeric) = 0.87901688723020470581530086581651
absolute error = 1e-32
relative error = 1.1376345716758808617769342573840e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1808.1MB, alloc=4.6MB, time=111.42
x[1] = 0.498
y2[1] (analytic) = 0.47766941579977451191667809895267
y2[1] (numeric) = 0.47766941579977451191667809895273
absolute error = 6e-32
relative error = 1.2560988419059741595461893034857e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.87853965716380847270917629266282
y1[1] (numeric) = 0.87853965716380847270917629266284
absolute error = 2e-32
relative error = 2.2765050885199701102791259835467e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1812.0MB, alloc=4.6MB, time=111.66
x[1] = 0.499
y2[1] (analytic) = 0.47854771647582705452098843437875
y2[1] (numeric) = 0.47854771647582705452098843437881
absolute error = 6e-32
relative error = 1.2537934658190096725520241235896e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.87806154855782828743023560647926
y1[1] (numeric) = 0.87806154855782828743023560647928
absolute error = 2e-32
relative error = 2.2777446561518368633259521541912e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1815.8MB, alloc=4.6MB, time=111.89
x[1] = 0.5
y2[1] (analytic) = 0.47942553860420300027328793521557
y2[1] (numeric) = 0.47942553860420300027328793521563
absolute error = 6e-32
relative error = 1.2514977857600929114635010052756e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.87758256189037271611628158260383
y1[1] (numeric) = 0.87758256189037271611628158260385
absolute error = 2e-32
relative error = 2.2789878546490982446266555364099e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1819.6MB, alloc=4.6MB, time=112.13
x[1] = 0.501
y2[1] (analytic) = 0.4803028813070802939494724420977
y2[1] (numeric) = 0.48030288130708029394947244209776
absolute error = 6e-32
relative error = 1.2492117439878352311009403325577e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.87710269764042838630733124421144
y1[1] (numeric) = 0.87710269764042838630733124421146
absolute error = 2e-32
relative error = 2.2802346924486460398070351204458e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1823.4MB, alloc=4.6MB, time=112.37
x[1] = 0.502
y2[1] (analytic) = 0.48117974370711630578413774821874
y2[1] (numeric) = 0.4811797437071163057841377482188
absolute error = 6e-32
relative error = 1.2469352832217455359012105707935e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.87662195628785950795902823784783
y1[1] (numeric) = 0.87662195628785950795902823784785
absolute error = 2e-32
relative error = 2.2814851780226832457280758047914e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1827.2MB, alloc=4.6MB, time=112.60
memory used=1831.0MB, alloc=4.6MB, time=112.84
x[1] = 0.503
y2[1] (analytic) = 0.48205612492744870881313625285219
y2[1] (numeric) = 0.48205612492744870881313625285225
absolute error = 6e-32
relative error = 1.2446683466376499119225596428735e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.87614033831340739357847286646878
y1[1] (numeric) = 0.8761403383134073935784728664688
absolute error = 2e-32
relative error = 2.2827393198788806588855679181949e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1834.9MB, alloc=4.6MB, time=113.08
x[1] = 0.504
y2[1] (analytic) = 0.48293202409169635573583085364091
y2[1] (numeric) = 0.48293202409169635573583085364097
absolute error = 6e-32
relative error = 1.2424108778631657903336583275225e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.87565784419868997748294964411447
y1[1] (numeric) = 0.87565784419868997748294964411449
absolute error = 2e-32
relative error = 2.2839971265605343704915932179880e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1838.7MB, alloc=4.6MB, time=113.31
x[1] = 0.505
y2[1] (analytic) = 0.48380744032396015529616921547434
y2[1] (numeric) = 0.4838074403239601552961692154744
absolute error = 6e-32
relative error = 1.2401628209732298865122395500300e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.87517447442620133418203311345153
y1[1] (numeric) = 0.87517447442620133418203311345154
absolute error = 1e-32
relative error = 1.1426293033233620870529366873743e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1842.5MB, alloc=4.6MB, time=113.54
x[1] = 0.506
y2[1] (analytic) = 0.48468237274882394818170203495237
y2[1] (numeric) = 0.48468237274882394818170203495243
absolute error = 6e-32
relative error = 1.2379241204856791708293296749595e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.87469022947931119588355354403665
y1[1] (numeric) = 0.87469022947931119588355354403667
absolute error = 2e-32
relative error = 2.2865237687524728917294014720894e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1846.3MB, alloc=4.6MB, time=113.78
x[1] = 0.507
y2[1] (analytic) = 0.48555682049135538243966940149045
y2[1] (numeric) = 0.48555682049135538243966940149051
absolute error = 6e-32
relative error = 1.2356947213568841389335391829543e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.87420510984226446912390500529606
y1[1] (numeric) = 0.87420510984226446912390500529608
absolute error = 2e-32
relative error = 2.2877926215289066243175759534846e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1850.1MB, alloc=4.6MB, time=114.02
memory used=1853.9MB, alloc=4.6MB, time=114.25
x[1] = 0.508
y2[1] (analytic) = 0.48643078267710678840927983905261
y2[1] (numeric) = 0.48643078267710678840927983905267
absolute error = 6e-32
relative error = 1.2334745689774336608803864232663e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.87371911600018075052317918387225
y1[1] (numeric) = 0.87371911600018075052317918387227
absolute error = 2e-32
relative error = 2.2890651736634159327152332651751e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1857.7MB, alloc=4.6MB, time=114.49
x[1] = 0.509
y2[1] (analytic) = 0.48730425843211605316930709630622
y2[1] (numeric) = 0.48730425843211605316930709630627
absolute error = 5e-32
relative error = 1.0260530076398922498152126967148e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.87323224843905384166560919016402
y1[1] (numeric) = 0.87323224843905384166560919016404
absolute error = 2e-32
relative error = 2.2903414338798179550615337415318e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1861.6MB, alloc=4.6MB, time=114.72
x[1] = 0.51
y2[1] (analytic) = 0.48817724688290749450013023767457
y2[1] (numeric) = 0.48817724688290749450013023767463
absolute error = 6e-32
relative error = 1.2290617881744782017493327657050e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.87274450764575126310580847357551
y1[1] (numeric) = 0.87274450764575126310580847357552
absolute error = 1e-32
relative error = 1.1458107054692597333792993299734e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1865.4MB, alloc=4.6MB, time=114.96
x[1] = 0.511
y2[1] (analytic) = 0.48904974715649273435934307332011
y2[1] (numeric) = 0.48904974715649273435934307332016
absolute error = 5e-32
relative error = 1.0223908772209287249455410961681e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.87225589410801376750129084019472
y1[1] (numeric) = 0.87225589410801376750129084019473
absolute error = 1e-32
relative error = 1.1464525568183404445720642484331e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1869.2MB, alloc=4.6MB, time=115.19
x[1] = 0.512
y2[1] (analytic) = 0.48992175838037157187005945252148
y2[1] (numeric) = 0.48992175838037157187005945252153
absolute error = 5e-32
relative error = 1.0205711247709144550091459697206e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.87176640831445485187175844034113
y1[1] (numeric) = 0.87176640831445485187175844034114
absolute error = 1e-32
relative error = 1.1470962754041906265274784616296e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1873.0MB, alloc=4.6MB, time=115.43
x[1] = 0.513
y2[1] (analytic) = 0.49079327968253285582104143221207
y2[1] (numeric) = 0.49079327968253285582104143221213
absolute error = 6e-32
relative error = 1.2225106268531365332375653422479e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.87127605075456026898564546665356
y1[1] (numeric) = 0.87127605075456026898564546665358
absolute error = 2e-32
relative error = 2.2954837313247841235156157031524e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1876.8MB, alloc=4.6MB, time=115.67
TOP MAIN SOLVE Loop
memory used=1880.6MB, alloc=4.6MB, time=115.91
x[1] = 0.514
y2[1] (analytic) = 0.49166431019145535667777782062445
y2[1] (numeric) = 0.4916643101914553566777778206245
absolute error = 5e-32
relative error = 1.0169540266310945045135398115910e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.87078482191868753787440617613407
y1[1] (numeric) = 0.87078482191868753787440617613409
absolute error = 2e-32
relative error = 2.2967786640943044918335061579724e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1884.4MB, alloc=4.6MB, time=116.14
x[1] = 0.515
y2[1] (analytic) = 0.4925348490361086381036410850348
y2[1] (numeric) = 0.49253484903610863810364108503486
absolute error = 6e-32
relative error = 1.2181879133511076563327099106899e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.87029272229806545347503672181887
y1[1] (numeric) = 0.87029272229806545347503672181889
absolute error = 2e-32
relative error = 2.2980773580627766414301970265977e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1888.3MB, alloc=4.6MB, time=116.38
x[1] = 0.516
y2[1] (analytic) = 0.49340489534595392799025110252325
y2[1] (numeric) = 0.4934048953459539279902511025233
absolute error = 5e-32
relative error = 1.0133665164578917952113038787809e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.86979975238479359540132115151374
y1[1] (numeric) = 0.86979975238479359540132115151376
absolute error = 2e-32
relative error = 2.2993798222136229937867002199696e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1892.1MB, alloc=4.6MB, time=116.61
x[1] = 0.517
y2[1] (analytic) = 0.49427444825094498899617472345866
y2[1] (numeric) = 0.49427444825094498899617472345871
absolute error = 5e-32
relative error = 1.0115837502207844799052531210517e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.86930591267184183584429280230693
y1[1] (numeric) = 0.86930591267184183584429280230695
absolute error = 2e-32
relative error = 2.3006860655680239409293190136215e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1895.9MB, alloc=4.6MB, time=116.84
x[1] = 0.518
y2[1] (analytic) = 0.49514350688152898859309060908113
y2[1] (numeric) = 0.49514350688152898859309060908119
absolute error = 6e-32
relative error = 1.2117699044038148038709388666307e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.86881120365304984660240319035711
y1[1] (numeric) = 0.86881120365304984660240319035714
absolute error = 3e-32
relative error = 3.4529941457776330063977323335995e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1899.7MB, alloc=4.6MB, time=117.08
memory used=1903.5MB, alloc=4.6MB, time=117.31
x[1] = 0.519
y2[1] (analytic) = 0.49601207036864736861854929708972
y2[1] (numeric) = 0.49601207036864736861854929708978
absolute error = 6e-32
relative error = 1.2096479820623446813662790751742e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.8683156258231266052418913657465
y1[1] (numeric) = 0.86831562582312660524189136574652
absolute error = 2e-32
relative error = 2.3033099261620269929592701474078e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1907.3MB, alloc=4.6MB, time=117.55
x[1] = 0.52
y2[1] (analytic) = 0.49688013784373671433445894254775
y2[1] (numeric) = 0.49688013784373671433445894254781
absolute error = 6e-32
relative error = 1.2075346835229975266236197928669e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.86781917967764990038784757198851
y1[1] (numeric) = 0.86781917967764990038784757198854
absolute error = 3e-32
relative error = 3.4569413424514832526432563583826e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1911.1MB, alloc=4.6MB, time=117.78
x[1] = 0.521
y2[1] (analytic) = 0.49774770843872962299042767569256
y2[1] (numeric) = 0.49774770843872962299042767569262
absolute error = 6e-32
relative error = 1.2054299594507468196092774921751e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.86732186571306583614646591908526
y1[1] (numeric) = 0.86732186571306583614646591908529
absolute error = 3e-32
relative error = 3.4589235191638571323700547785014e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1915.0MB, alloc=4.6MB, time=118.02
x[1] = 0.522
y2[1] (analytic) = 0.49861478128605557189109401337953
y2[1] (numeric) = 0.49861478128605557189109401337958
absolute error = 5e-32
relative error = 1.0027781340745085681233190377070e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.8668236844266883356589816478407
y1[1] (numeric) = 0.86682368442668833565898164784073
absolute error = 3e-32
relative error = 3.4609114331989912041964714015839e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1918.8MB, alloc=4.6MB, time=118.26
x[1] = 0.523
y2[1] (analytic) = 0.49948135551864178596657725690241
y2[1] (numeric) = 0.49948135551864178596657725690246
absolute error = 5e-32
relative error = 1.0010383660483576489288883961085e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.86632463631669864378778943145095
y1[1] (numeric) = 0.86632463631669864378778943145097
absolute error = 2e-32
relative error = 2.3086033989559410780819264207953e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1922.6MB, alloc=4.6MB, time=118.49
x[1] = 0.524
y2[1] (analytic) = 0.50034743026991410484518030581186
y2[1] (numeric) = 0.50034743026991410484518030581192
absolute error = 6e-32
relative error = 1.1991667463472890849055906541211e-29 %
Correct digits = 30
h = 0.001
y1[1] (analytic) = 0.86582472188214482893524002821195
y1[1] (numeric) = 0.86582472188214482893524002821197
absolute error = 2e-32
relative error = 2.3099363525360713181124047205097e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=1926.4MB, alloc=4.6MB, time=118.73
TOP MAIN SOLVE Loop
memory used=1930.2MB, alloc=4.6MB, time=118.97
x[1] = 0.525
y2[1] (analytic) = 0.5012130046737978494274778151016
y2[1] (numeric) = 0.50121300467379784942747781510165
absolute error = 5e-32
relative error = 9.9757986192998463064501037467325e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.86532394162294128399561346650638
y1[1] (numeric) = 0.8653239416229412839956134665064
absolute error = 2e-32
relative error = 2.3112731588691968604037791170458e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1934.0MB, alloc=4.6MB, time=119.20
x[1] = 0.526
y2[1] (analytic) = 0.50207807786471868796092312174618
y2[1] (numeric) = 0.50207807786471868796092312174623
absolute error = 5e-32
relative error = 9.9586104640625514218616456205807e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.86482229603986822644076781005499
y1[1] (numeric) = 0.864822296039868226440767810055
absolute error = 1e-32
relative error = 1.1563069136620641590525037439531e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1937.9MB, alloc=4.6MB, time=119.44
x[1] = 0.527
y2[1] (analytic) = 0.50294264897760350161410786605581
y2[1] (numeric) = 0.50294264897760350161410786605586
absolute error = 5e-32
relative error = 9.9414913612201032392958319900360e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.86431978563457119753996341774188
y1[1] (numeric) = 0.8643197856345711975399634177419
absolute error = 2e-32
relative error = 2.3139583673091883090458120626103e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1941.7MB, alloc=4.6MB, time=119.67
x[1] = 0.528
y2[1] (analytic) = 0.50380671714788124954980873366049
y2[1] (numeric) = 0.50380671714788124954980873366054
absolute error = 5e-32
relative error = 9.9244409211248393806166819572952e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.86381641090956056071436347814793
y1[1] (numeric) = 0.86381641090956056071436347814795
absolute error = 2e-32
relative error = 2.3153067882723925786883240193812e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1945.5MB, alloc=4.6MB, time=119.91
x[1] = 0.529
y2[1] (analytic) = 0.50467028151148383349595624514904
y2[1] (numeric) = 0.50467028151148383349595624514909
absolute error = 5e-32
relative error = 9.9074587570820224595801099150725e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.86331217236821099902671246424977
y1[1] (numeric) = 0.86331217236821099902671246424979
absolute error = 2e-32
relative error = 2.3166590997016321906956012844838e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1949.3MB, alloc=4.6MB, time=120.14
memory used=1953.1MB, alloc=4.6MB, time=120.38
x[1] = 0.53
y2[1] (analytic) = 0.50553334120484696181366102246608
y2[1] (numeric) = 0.50553334120484696181366102246613
absolute error = 5e-32
relative error = 9.8905444853219918713510338381691e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.8628070705147610118066950185642
y1[1] (numeric) = 0.86280707051476101180669501856422
absolute error = 2e-32
relative error = 2.3180153111248567922165470502791e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1956.9MB, alloc=4.6MB, time=120.62
x[1] = 0.531
y2[1] (analytic) = 0.50639589536491101306143346411287
y2[1] (numeric) = 0.50639589536491101306143346411292
absolute error = 5e-32
relative error = 9.8736977249726302787621661760390e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.86230110585431241041247864333708
y1[1] (numeric) = 0.86230110585431241041247864333709
absolute error = 1e-32
relative error = 1.1596877160551294805208445428365e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1960.7MB, alloc=4.6MB, time=120.85
x[1] = 0.532
y2[1] (analytic) = 0.50725794312912189905473326500416
y2[1] (numeric) = 0.50725794312912189905473326500421
absolute error = 5e-32
relative error = 9.8569180980321406546316427523245e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.86179427889282981312894443419202
y1[1] (numeric) = 0.86179427889282981312894443419203
absolute error = 1e-32
relative error = 1.1603697361332298209198435369779e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1964.6MB, alloc=4.6MB, time=121.09
x[1] = 0.533
y2[1] (analytic) = 0.50811948363543192741998572150358
y2[1] (numeric) = 0.50811948363543192741998572150363
absolute error = 5e-32
relative error = 9.8402052293421298016059498842182e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.86128659013714013920311095896611
y1[1] (numeric) = 0.86128659013714013920311095896612
absolute error = 1e-32
relative error = 1.1610537206213473393701607787774e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1968.4MB, alloc=4.6MB, time=121.33
x[1] = 0.534
y2[1] (analytic) = 0.508980516022300663642202267693
y2[1] (numeric) = 0.50898051602230066364220226769305
absolute error = 5e-32
relative error = 9.8235587465609943320964552454462e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.86077804009493210201725724626652
y1[1] (numeric) = 0.86077804009493210201725724626653
absolute error = 1e-32
relative error = 1.1617396743645012257930441125052e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1972.2MB, alloc=4.6MB, time=121.56
memory used=1976.0MB, alloc=4.6MB, time=121.80
x[1] = 0.535
y2[1] (analytic) = 0.50984103942869579260534319532731
y2[1] (numeric) = 0.50984103942869579260534319532736
absolute error = 5e-32
relative error = 9.8069782801376051509518124966504e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.86026862927475570140025171058284
y1[1] (numeric) = 0.86026862927475570140025171058285
absolute error = 1e-32
relative error = 1.1624276022282063116156899598612e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1979.8MB, alloc=4.6MB, time=122.04
x[1] = 0.536
y2[1] (analytic) = 0.51070105299409397962456101718358
y2[1] (numeric) = 0.51070105299409397962456101718362
absolute error = 4e-32
relative error = 7.8323707706282292340590162236980e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.85975835818602171507759470258392
y1[1] (numeric) = 0.85975835818602171507759470258393
absolute error = 1e-32
relative error = 1.1631175090985680026627953047615e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1983.6MB, alloc=4.6MB, time=122.27
x[1] = 0.537
y2[1] (analytic) = 0.51156055585848173096946344163303
y2[1] (numeric) = 0.51156055585848173096946344163307
absolute error = 4e-32
relative error = 7.8192111455648688178074055026212e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.85924722733900118926068323451424
y1[1] (numeric) = 0.85924722733900118926068323451425
absolute error = 1e-32
relative error = 1.1638093998823777750371627040419e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1987.4MB, alloc=4.6MB, time=122.51
x[1] = 0.538
y2[1] (analytic) = 0.51241954716235625387753543524462
y2[1] (numeric) = 0.51241954716235625387753543524465
absolute error = 3e-32
relative error = 5.8545775948891987011932596138791e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.85873523724482492837580729138267
y1[1] (numeric) = 0.85873523724482492837580729138267
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1991.3MB, alloc=4.6MB, time=122.74
x[1] = 0.539
y2[1] (analytic) = 0.51327802604672631605686036006966
y2[1] (numeric) = 0.5132780260467263160568603600697
absolute error = 4e-32
relative error = 7.7930474265731757682917824914102e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.85822238841548298393338799890475
y1[1] (numeric) = 0.85822238841548298393338799890475
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1995.1MB, alloc=4.6MB, time=122.97
x[1] = 0.54
y2[1] (analytic) = 0.51413599165311310467728068295824
y2[1] (numeric) = 0.51413599165311310467728068295828
absolute error = 4e-32
relative error = 7.7800427609409513559610975078009e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.8577086813638241425379687789178
y1[1] (numeric) = 0.8577086813638241425379687789178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=1998.9MB, alloc=4.6MB, time=123.21
memory used=2002.7MB, alloc=4.6MB, time=123.45
x[1] = 0.541
y2[1] (analytic) = 0.514993443123551084849139265818
y2[1] (numeric) = 0.51499344312355108484913926581803
absolute error = 3e-32
relative error = 5.8253168852098875737381175155704e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.85719411660355541303947148223492
y1[1] (numeric) = 0.85719411660355541303947148223493
absolute error = 1e-32
relative error = 1.1665969010173351744704636303864e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2006.5MB, alloc=4.6MB, time=123.68
x[1] = 0.542
y2[1] (analytic) = 0.51585037960058885758874275814576
y2[1] (numeric) = 0.51585037960058885758874275814579
absolute error = 3e-32
relative error = 5.8156398030041798894677144667936e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.85667869464924151282623034763916
y1[1] (numeric) = 0.85667869464924151282623034763917
absolute error = 1e-32
relative error = 1.1672987857010263995794483466827e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2010.3MB, alloc=4.6MB, time=123.92
x[1] = 0.543
y2[1] (analytic) = 0.51670680022729001726968912644003
y2[1] (numeric) = 0.51670680022729001726968912644007
absolute error = 4e-32
relative error = 7.7413341536060141390367898964552e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.85616241601630435326031749394093
y1[1] (numeric) = 0.85616241601630435326031749394093
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2014.1MB, alloc=4.6MB, time=124.15
x[1] = 0.544
y2[1] (analytic) = 0.51756270414723400855920186923829
y2[1] (numeric) = 0.51756270414723400855920186923832
absolute error = 3e-32
relative error = 5.7963991144666655176298499935634e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.85564528122102252425567450973039
y1[1] (numeric) = 0.85564528122102252425567450973039
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2018.0MB, alloc=4.6MB, time=124.39
x[1] = 0.545
y2[1] (analytic) = 0.5184180905045169828386139815162
y2[1] (numeric) = 0.51841809050451698283861398151624
absolute error = 4e-32
relative error = 7.7157801266295662835892017081006e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.85512729078053077799956556265031
y1[1] (numeric) = 0.85512729078053077799956556265031
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2021.8MB, alloc=4.6MB, time=124.62
memory used=2025.6MB, alloc=4.6MB, time=124.86
x[1] = 0.546
y2[1] (analytic) = 0.51927295844375265410714524803636
y2[1] (numeric) = 0.51927295844375265410714524803639
absolute error = 3e-32
relative error = 5.7773083524143463773839641211561e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.85460844521281951181786830669308
y1[1] (numeric) = 0.85460844521281951181786830669308
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2029.4MB, alloc=4.6MB, time=125.09
x[1] = 0.547
y2[1] (analytic) = 0.52012730711007315436811696194029
y2[1] (numeric) = 0.52012730711007315436811696194033
absolute error = 4e-32
relative error = 7.6904249119792717814511771399165e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.8540887450367342501847197221881
y1[1] (numeric) = 0.8540887450367342501847197221881
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2033.2MB, alloc=4.6MB, time=125.33
x[1] = 0.548
y2[1] (analytic) = 0.52098113564912988849674868244063
y2[1] (numeric) = 0.52098113564912988849674868244066
absolute error = 3e-32
relative error = 5.7583658883580738349895190725948e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.8535681907719751258770348787904
y1[1] (numeric) = 0.8535681907719751258770348787904
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2037.0MB, alloc=4.6MB, time=125.57
x[1] = 0.549
y2[1] (analytic) = 0.52183444320709438858868216388758
y2[1] (numeric) = 0.52183444320709438858868216388762
absolute error = 4e-32
relative error = 7.6652663542420988700411171335493e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.85304678293909636027441746690851
y1[1] (numeric) = 0.85304678293909636027441746690851
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2040.8MB, alloc=4.6MB, time=125.80
x[1] = 0.55
y2[1] (analytic) = 0.52268722893065916778837810775729
y2[1] (numeric) = 0.52268722893065916778837810775733
absolute error = 4e-32
relative error = 7.6527601567449981793694067295567e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.85252452205950574280498179761777
y1[1] (numeric) = 0.85252452205950574280498179761777
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2044.7MB, alloc=4.6MB, time=126.03
x[1] = 0.551
y2[1] (analytic) = 0.52353949196703857359653190923621
y2[1] (numeric) = 0.52353949196703857359653190923625
absolute error = 4e-32
relative error = 7.6403023293834637080830167026486e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.8520014086554641095376068251937
y1[1] (numeric) = 0.8520014086554641095376068251937
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2048.5MB, alloc=4.6MB, time=126.27
TOP MAIN SOLVE Loop
memory used=2052.3MB, alloc=4.6MB, time=126.51
x[1] = 0.552
y2[1] (analytic) = 0.52439123146396964065565509105708
y2[1] (numeric) = 0.52439123146396964065565509105712
absolute error = 4e-32
relative error = 7.6278926114630040525974842467482e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.85147744325008482092114359996793
y1[1] (numeric) = 0.85147744325008482092114359996793
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2056.1MB, alloc=4.6MB, time=126.74
x[1] = 0.553
y2[1] (analytic) = 0.52524244656971294301296963907598
y2[1] (numeric) = 0.52524244656971294301296963907601
absolute error = 3e-32
relative error = 5.7116480581350429842175618003783e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.85095262636733323867109841225574
y1[1] (numeric) = 0.85095262636733323867109841225573
absolute error = 1e-32
relative error = 1.1751535502850978221647035755014e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2059.9MB, alloc=4.6MB, time=126.98
x[1] = 0.554
y2[1] (analytic) = 0.52609313643305344585976297676717
y2[1] (numeric) = 0.52609313643305344585976297676721
absolute error = 4e-32
relative error = 7.6032164706049327885297264098144e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.85042695853202620180431474062843
y1[1] (numeric) = 0.85042695853202620180431474062842
absolute error = 1e-32
relative error = 1.1758799388558435871604104083937e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2063.7MB, alloc=4.6MB, time=127.22
x[1] = 0.555
y2[1] (analytic) = 0.52694330020330135674635183935189
y2[1] (numeric) = 0.52694330020330135674635183935192
absolute error = 3e-32
relative error = 5.6932121517487028401436579231192e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.84990044026983150182217796980501
y1[1] (numeric) = 0.84990044026983150182217796980501
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2067.6MB, alloc=4.6MB, time=127.45
x[1] = 0.556
y2[1] (analytic) = 0.52779293703029297627180383266784
y2[1] (numeric) = 0.52779293703029297627180383266787
absolute error = 3e-32
relative error = 5.6840472645957619002502663340334e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.84937307210726735704286769491463
y1[1] (numeric) = 0.84937307210726735704286769491463
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2071.4MB, alloc=4.6MB, time=127.69
memory used=2075.2MB, alloc=4.6MB, time=127.93
x[1] = 0.557
y2[1] (analytic) = 0.52864204606439154824756598712908
y2[1] (numeric) = 0.52864204606439154824756598712911
absolute error = 3e-32
relative error = 5.6749175029384311890480677232296e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.8488448545717018860831832798337
y1[1] (numeric) = 0.8488448545717018860831832798337
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2079.0MB, alloc=4.6MB, time=128.16
x[1] = 0.558
y2[1] (analytic) = 0.52949062645648810933415014321829
y2[1] (numeric) = 0.52949062645648810933415014321832
absolute error = 3e-32
relative error = 5.6658226795758596058277856398849e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.84831578819135258049046918772829
y1[1] (numeric) = 0.84831578819135258049046918772829
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2082.8MB, alloc=4.6MB, time=128.40
x[1] = 0.559
y2[1] (analytic) = 0.53033867735800233815002553189701
y2[1] (numeric) = 0.53033867735800233815002553189705
absolute error = 4e-32
relative error = 7.5423501448675617015034887192760e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.8477858734952857765251674518325
y1[1] (numeric) = 0.8477858734952857765251674518325
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2086.6MB, alloc=4.6MB, time=128.63
x[1] = 0.56
y2[1] (analytic) = 0.53118619792088340385186944111203
y2[1] (numeric) = 0.53118619792088340385186944111207
absolute error = 4e-32
relative error = 7.5303161408493015494038179548360e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.84725511101341612609452550386632
y1[1] (numeric) = 0.84725511101341612609452550386632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2090.4MB, alloc=4.6MB, time=128.87
x[1] = 0.561
y2[1] (analytic) = 0.53203318729761081418532738821783
y2[1] (numeric) = 0.53203318729761081418532738821787
absolute error = 4e-32
relative error = 7.5183279831046785576477323742143e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.84672350127650606683798842634102
y1[1] (numeric) = 0.84672350127650606683798842634102
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2094.3MB, alloc=4.6MB, time=129.11
x[1] = 0.562
y2[1] (analytic) = 0.53287964464119526300543474762577
y2[1] (numeric) = 0.53287964464119526300543474762581
absolute error = 4e-32
relative error = 7.5063854291025258614803510225564e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.84619104481616529136480554331576
y1[1] (numeric) = 0.84619104481616529136480554331576
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2098.1MB, alloc=4.6MB, time=129.34
TOP MAIN SOLVE Loop
memory used=2101.9MB, alloc=4.6MB, time=129.58
x[1] = 0.563
y2[1] (analytic) = 0.53372556910517947726585231332886
y2[1] (numeric) = 0.5337255691051794772658523133289
absolute error = 4e-32
relative error = 7.4944882380400509624972996176848e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.8456577421648502156443821119545
y1[1] (numeric) = 0.8456577421648502156443821119545
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2105.7MB, alloc=4.6MB, time=129.82
x[1] = 0.564
y2[1] (analytic) = 0.53457095984363906347606880713726
y2[1] (numeric) = 0.5345709598436390634760688071373
absolute error = 4e-32
relative error = 7.4826361708275211944517779328377e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.84512359385586344654990772448725
y1[1] (numeric) = 0.84512359385586344654990772448725
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2109.5MB, alloc=4.6MB, time=130.05
x[1] = 0.565
y2[1] (analytic) = 0.53541581601118335362572387549242
y2[1] (numeric) = 0.53541581601118335362572387549246
absolute error = 4e-32
relative error = 7.4708289900731118438359744412784e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.84458860042335324855579387690292
y1[1] (numeric) = 0.84458860042335324855579387690292
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2113.3MB, alloc=4.6MB, time=130.28
x[1] = 0.566
y2[1] (analytic) = 0.53626013676295625057520565060748
y2[1] (numeric) = 0.53626013676295625057520565060752
absolute error = 4e-32
relative error = 7.4590664600679149136592016156646e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.84405276240231300958945400689171
y1[1] (numeric) = 0.8440527624023130095894540068917
absolute error = 1e-32
relative error = 1.1847600583094302051465310145105e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2117.1MB, alloc=4.6MB, time=130.51
x[1] = 0.567
y2[1] (analytic) = 0.5371039212546370729116774854067
y2[1] (numeric) = 0.53710392125463707291167748540674
absolute error = 4e-32
relative error = 7.4473483467711065472273566978521e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.84351608032858070603796014921248
y1[1] (numeric) = 0.84351608032858070603796014921247
absolute error = 1e-32
relative error = 1.1855138548283075060794702669386e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2121.0MB, alloc=4.6MB, time=130.75
memory used=2124.8MB, alloc=4.6MB, time=130.99
x[1] = 0.568
y2[1] (analytic) = 0.53794716864244139926968900630767
y2[1] (numeric) = 0.53794716864244139926968900630771
absolute error = 4e-32
relative error = 7.4356744177952711566608263240600e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.84297855473883836691011120178398
y1[1] (numeric) = 0.84297855473883836691011120178397
absolute error = 1e-32
relative error = 1.1862697981798696620198927304605e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2128.6MB, alloc=4.6MB, time=131.22
x[1] = 0.569
y2[1] (analytic) = 0.53878987808312191211552716330558
y2[1] (numeric) = 0.53878987808312191211552716330562
absolute error = 4e-32
relative error = 7.4240444423918803283786527614498e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.84244018617061153715444864038683
y1[1] (numeric) = 0.84244018617061153715444864038683
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2132.4MB, alloc=4.6MB, time=131.46
x[1] = 0.57
y2[1] (analytic) = 0.53963204873396924099446349307883
y2[1] (numeric) = 0.53963204873396924099446349307887
absolute error = 4e-32
relative error = 7.4124581914369246048334158139102e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.84190097516226874013375636391601
y1[1] (numeric) = 0.84190097516226874013375636391601
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2136.2MB, alloc=4.6MB, time=131.69
x[1] = 0.571
y2[1] (analytic) = 0.54047367975281280524005434793895
y2[1] (numeric) = 0.54047367975281280524005434793899
absolute error = 4e-32
relative error = 7.4009154374166962684114594947070e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.84136092225302093925658219563904
y1[1] (numeric) = 0.84136092225302093925658219563904
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2140.0MB, alloc=4.6MB, time=131.93
x[1] = 0.572
y2[1] (analytic) = 0.54131477029802165614465138139488
y2[1] (numeric) = 0.54131477029802165614465138139492
absolute error = 4e-32
relative error = 7.3894159544137212796242619605902e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.84082002798292099876631940889362
y1[1] (numeric) = 0.84082002798292099876631940889362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2143.8MB, alloc=4.6MB, time=132.16
x[1] = 0.573
y2[1] (analytic) = 0.54215531952850531859028011989125
y2[1] (numeric) = 0.54215531952850531859028011989128
absolute error = 3e-32
relative error = 5.5334696385696289106371675858671e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.84027829289286314368838748809822
y1[1] (numeric) = 0.84027829289286314368838748809822
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2147.7MB, alloc=4.6MB, time=132.40
TOP MAIN SOLVE Loop
memory used=2151.5MB, alloc=4.6MB, time=132.64
x[1] = 0.574
y2[1] (analytic) = 0.54299532660371463213904498991224
y2[1] (numeric) = 0.54299532660371463213904498991227
absolute error = 3e-32
relative error = 5.5249094292655685517068268018154e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.83973571752458241893605217784984
y1[1] (numeric) = 0.83973571752458241893605217784984
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2155.3MB, alloc=4.6MB, time=132.88
x[1] = 0.575
y2[1] (analytic) = 0.54383479068364259158221971011618
y2[1] (numeric) = 0.54383479068364259158221971011621
absolute error = 3e-32
relative error = 5.5163811719893221237755998510549e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.83919230242065414757542571424383
y1[1] (numeric) = 0.83919230242065414757542571424383
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2159.1MB, alloc=4.6MB, time=133.11
x[1] = 0.576
y2[1] (analytic) = 0.54467371092882518694718249948034
y2[1] (numeric) = 0.54467371092882518694718249948037
absolute error = 3e-32
relative error = 5.5078847019881645508323074605453e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.83864804812449338825018897337042
y1[1] (numeric) = 0.83864804812449338825018897337042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2162.9MB, alloc=4.6MB, time=133.35
x[1] = 0.577
y2[1] (analytic) = 0.54551208650034224296135609459091
y2[1] (numeric) = 0.54551208650034224296135609459094
absolute error = 3e-32
relative error = 5.4994198556554216003843940170005e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.83810295518035439176657811222054
y1[1] (numeric) = 0.83810295518035439176657811222053
absolute error = 1e-32
relative error = 1.1931708316012397312128987897276e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2166.7MB, alloc=4.6MB, time=133.59
x[1] = 0.578
y2[1] (analytic) = 0.54634991655981825797231311220796
y2[1] (numeric) = 0.54634991655981825797231311220799
absolute error = 3e-32
relative error = 5.4909864705205619900262581166744e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.83755702413333005683917911696904
y1[1] (numeric) = 0.83755702413333005683917911696903
absolute error = 1e-32
relative error = 1.1939485565591898983237556230465e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2170.6MB, alloc=4.6MB, time=133.82
memory used=2174.4MB, alloc=4.6MB, time=134.06
x[1] = 0.579
y2[1] (analytic) = 0.54718720026942324232320783707006
y2[1] (numeric) = 0.54718720026942324232320783707009
absolute error = 3e-32
relative error = 5.4825843852393921835492712020519e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.83701025552935138499807451279544
y1[1] (numeric) = 0.83701025552935138499807451279543
absolute error = 1e-32
relative error = 1.1947284915494480032405807715253e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2178.2MB, alloc=4.6MB, time=134.29
x[1] = 0.58
y2[1] (analytic) = 0.54802393679187355618269605957646
y2[1] (numeric) = 0.54802393679187355618269605957649
absolute error = 3e-32
relative error = 5.4742134395843526372782926957189e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.83646264991518693465788732805002
y1[1] (numeric) = 0.83646264991518693465788732805001
absolute error = 1e-32
relative error = 1.1955106424672935751964175215789e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2182.0MB, alloc=4.6MB, time=134.53
x[1] = 0.581
y2[1] (analytic) = 0.54886012529043274682850513349703
y2[1] (numeric) = 0.54886012529043274682850513349706
absolute error = 3e-32
relative error = 5.4658734744349142743842118543434e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.83591420783844227434926824367577
y1[1] (numeric) = 0.83591420783844227434926824367576
absolute error = 1e-32
relative error = 1.1962950152335138941297119390945e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2185.8MB, alloc=4.6MB, time=134.76
x[1] = 0.582
y2[1] (analytic) = 0.54969576492891238538381697020945
y2[1] (numeric) = 0.54969576492891238538381697020948
absolute error = 3e-32
relative error = 5.4575643317680739817228813941505e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.83536492984755943511337269635362
y1[1] (numeric) = 0.8353649298475594351133726963536
absolute error = 2e-32
relative error = 2.3941632315890584435406322071426e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2189.6MB, alloc=4.6MB, time=135.00
x[1] = 0.583
y2[1] (analytic) = 0.55053085487167290300562723315059
y2[1] (numeric) = 0.55053085487167290300562723315062
absolute error = 3e-32
relative error = 5.4492858546489479402922821487880e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.83481481649181636205987554084799
y1[1] (numeric) = 0.83481481649181636205987554084798
absolute error = 1e-32
relative error = 1.1978704501225188042203089102396e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2193.4MB, alloc=4.6MB, time=135.23
x[1] = 0.584
y2[1] (analytic) = 0.55136539428362442652424454419241
y2[1] (numeric) = 0.55136539428362442652424454419244
absolute error = 3e-32
relative error = 5.4410378872214616166863127194491e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.8342638683213263650890717134926
y1[1] (numeric) = 0.83426386832132636508907171349259
absolute error = 1e-32
relative error = 1.1986615242155476514676190684673e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2197.3MB, alloc=4.6MB, time=135.47
TOP MAIN SOLVE Loop
memory used=2201.1MB, alloc=4.6MB, time=135.71
x[1] = 0.585
y2[1] (analytic) = 0.5521993823302276135330940625129
y2[1] (numeric) = 0.55219938233022761353309406251293
absolute error = 3e-32
relative error = 5.4328202746991352589595908659091e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.83371208588703756877861217466974
y1[1] (numeric) = 0.83371208588703756877861217466973
absolute error = 1e-32
relative error = 1.1994548440976940993146958247041e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2204.9MB, alloc=4.6MB, time=135.94
x[1] = 0.586
y2[1] (analytic) = 0.55303281817749448692799034622804
y2[1] (numeric) = 0.55303281817749448692799034622807
absolute error = 3e-32
relative error = 5.4246328633559637561073600681857e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.83315946974073236143542524350155
y1[1] (numeric) = 0.83315946974073236143542524350154
absolute error = 1e-32
relative error = 1.2002504158191781592491377943504e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2208.7MB, alloc=4.6MB, time=136.18
x[1] = 0.587
y2[1] (analytic) = 0.55386570099198926889504495758147
y2[1] (numeric) = 0.55386570099198926889504495758149
absolute error = 2e-32
relative error = 3.6109836670115931572748072923335e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.83260602043502684331337427278583
y1[1] (numeric) = 0.83260602043502684331337427278583
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2212.5MB, alloc=4.6MB, time=136.42
x[1] = 0.588
y2[1] (analytic) = 0.55469802994082921434637482385373
y2[1] (numeric) = 0.55469802994082921434637482385375
absolute error = 2e-32
relative error = 3.6055653563675791941459801121521e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.83205173852337027399720344647288
y1[1] (numeric) = 0.83205173852337027399720344647288
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2216.3MB, alloc=4.6MB, time=136.65
x[1] = 0.589
y2[1] (analytic) = 0.55552980419168544380277791835226
y2[1] (numeric) = 0.55552980419168544380277791835228
absolute error = 2e-32
relative error = 3.6001668765730171598498798328587e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.83149662456004451895332431569136
y1[1] (numeric) = 0.83149662456004451895332431569136
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2220.1MB, alloc=4.6MB, time=136.89
memory used=2224.0MB, alloc=4.6MB, time=137.13
x[1] = 0.59
y2[1] (analytic) = 0.55636102291278377572254337887577
y2[1] (numeric) = 0.55636102291278377572254337887579
absolute error = 2e-32
relative error = 3.5947881279122672250783008540811e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.83094067910016349524799652249068
y1[1] (numeric) = 0.83094067910016349524799652249068
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2227.8MB, alloc=4.6MB, time=137.36
x[1] = 0.591
y2[1] (analytic) = 0.55719168527290555827556373491228
y2[1] (numeric) = 0.55719168527290555827556373491229
absolute error = 1e-32
relative error = 1.7947145056735949602045751440722e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.83038390269967261643345699307291
y1[1] (numeric) = 0.83038390269967261643345699307291
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2231.6MB, alloc=4.6MB, time=137.60
x[1] = 0.592
y2[1] (analytic) = 0.55802179044138850056191746952789
y2[1] (numeric) = 0.55802179044138850056191746952791
absolute error = 2e-32
relative error = 3.5840894285114280954324759573787e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.82982629591534823660255271433876
y1[1] (numeric) = 0.82982629591534823660255271433876
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2235.4MB, alloc=4.6MB, time=137.84
x[1] = 0.593
y2[1] (analytic) = 0.55885133758812750327409069743309
y2[1] (numeric) = 0.55885133758812750327409069743311
absolute error = 2e-32
relative error = 3.5787692817047467447625992623881e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.82926785930479709361243303906856
y1[1] (numeric) = 0.82926785930479709361243303906857
absolute error = 1e-32
relative error = 1.2058829831392878950376086568880e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2239.2MB, alloc=4.6MB, time=138.07
x[1] = 0.594
y2[1] (analytic) = 0.55968032588357548880200729707396
y2[1] (numeric) = 0.55968032588357548880200729707398
absolute error = 2e-32
relative error = 3.5734684738874300190315801648858e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.82870859342645575147785829599953
y1[1] (numeric) = 0.82870859342645575147785829599954
absolute error = 1e-32
relative error = 1.2066967905633834948956206931193e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2243.0MB, alloc=4.6MB, time=138.31
x[1] = 0.595
y2[1] (analytic) = 0.56050875449874423078003739178746
y2[1] (numeric) = 0.56050875449874423078003739178748
memory used=2246.8MB, alloc=4.6MB, time=138.55
absolute error = 2e-32
relative error = 3.5681869086747347481278051331522e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.82814849883959004193468231144419
y1[1] (numeric) = 0.8281484988395900419346823114442
absolute error = 1e-32
relative error = 1.2075129054767472258992223861655e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2250.7MB, alloc=4.6MB, time=138.79
x[1] = 0.596
y2[1] (analytic) = 0.56133662260520518307515463308144
y2[1] (numeric) = 0.56133662260520518307515463308146
absolute error = 2e-32
relative error = 3.5629244903313998129736013603178e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.827587576104294505174067278921
y1[1] (numeric) = 0.82758757610429450517406727892101
absolute error = 1e-32
relative error = 1.2083313341982524897322440439095e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2254.5MB, alloc=4.6MB, time=139.03
x[1] = 0.597
y2[1] (analytic) = 0.56216392937509030821541329795109
y2[1] (numeric) = 0.56216392937509030821541329795111
absolute error = 2e-32
relative error = 3.5576811237662107110297610014002e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.82702582578149182974799024253562
y1[1] (numeric) = 0.82702582578149182974799024253562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2258.3MB, alloc=4.6MB, time=139.26
x[1] = 0.598
y2[1] (analytic) = 0.56299067398109290525791677182386
y2[1] (numeric) = 0.56299067398109290525791677182388
absolute error = 2e-32
relative error = 3.5524567145266186694749840409574e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.82646324843293229164660128855966
y1[1] (numeric) = 0.82646324843293229164660128855966
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2262.1MB, alloc=4.6MB, time=139.50
x[1] = 0.599
y2[1] (analytic) = 0.56381685559646843709544954923328
y2[1] (numeric) = 0.5638168555964684370954495492333
absolute error = 2e-32
relative error = 3.5472511687934136686367523512493e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.82589984462119319254799436780206
y1[1] (numeric) = 0.82589984462119319254799436780206
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2265.9MB, alloc=4.6MB, time=139.73
x[1] = 0.6
y2[1] (analytic) = 0.56464247339503535720094544565866
y2[1] (numeric) = 0.56464247339503535720094544565868
absolute error = 2e-32
relative error = 3.5420643933754507467492242142109e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.82533561490967829724095249895538
y1[1] (numeric) = 0.82533561490967829724095249895538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2269.7MB, alloc=4.6MB, time=139.97
memory used=2273.6MB, alloc=4.6MB, time=140.21
x[1] = 0.601
y2[1] (analytic) = 0.56546752655117593580896527613138
y2[1] (numeric) = 0.5654675265511759358089652761314
absolute error = 2e-32
relative error = 3.5368962957044289654855415920115e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.82477055986261727022122993012494
y1[1] (numeric) = 0.82477055986261727022122993012494
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2277.4MB, alloc=4.6MB, time=140.44
x[1] = 0.602
y2[1] (analytic) = 0.56629201423983708553335781919889
y2[1] (numeric) = 0.5662920142398370855333578191989
absolute error = 1e-32
relative error = 1.7658733919148612119792929614689e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.82420468004506511146193466221171
y1[1] (numeric) = 0.82420468004506511146193466221171
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2281.2MB, alloc=4.6MB, time=140.68
x[1] = 0.603
y2[1] (analytic) = 0.56711593563653118642027844865423
y2[1] (numeric) = 0.56711593563653118642027844865425
absolute error = 2e-32
relative error = 3.5266157664132627170077778070294e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.82363797602290159135857556371942
y1[1] (numeric) = 0.82363797602290159135857556371942
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2285.0MB, alloc=4.6MB, time=140.91
x[1] = 0.604
y2[1] (analytic) = 0.56793928991733691043574038008136
y2[1] (numeric) = 0.56793928991733691043574038008138
absolute error = 2e-32
relative error = 3.5215031527244722415920294436459e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.82307044836283068484933913189164
y1[1] (numeric) = 0.82307044836283068484933913189164
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2288.8MB, alloc=4.6MB, time=141.15
x[1] = 0.605
y2[1] (analytic) = 0.5687620762589000453868740447335
y2[1] (numeric) = 0.56876207625890004538687404473351
absolute error = 1e-32
relative error = 1.7582044263176238814962134270530e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.82250209763238000471116177985496
y1[1] (numeric) = 0.82250209763238000471116177985495
absolute error = 1e-32
relative error = 1.2158023704481216553642113912672e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2292.6MB, alloc=4.6MB, time=141.39
memory used=2296.4MB, alloc=4.6MB, time=141.62
x[1] = 0.606
y2[1] (analytic) = 0.56958429383843431827607066955397
y2[1] (numeric) = 0.56958429383843431827607066955398
absolute error = 1e-32
relative error = 1.7556663883074968301473031061881e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.8219329243999002340321643536487
y1[1] (numeric) = 0.82193292439990023403216435364869
absolute error = 1e-32
relative error = 1.2166442909317788361553515139966e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2300.3MB, alloc=4.6MB, time=141.86
x[1] = 0.607
y2[1] (analytic) = 0.57040594183372221808718670926455
y2[1] (numeric) = 0.57040594183372221808718670926456
absolute error = 1e-32
relative error = 1.7531374178628521391360119308460e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.82136292923456455786101640665948
y1[1] (numeric) = 0.82136292923456455786101640665947
absolute error = 1e-32
relative error = 1.2174885965841055454323041561505e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2304.1MB, alloc=4.6MB, time=142.09
x[1] = 0.608
y2[1] (analytic) = 0.57122701942311581800298634438536
y2[1] (numeric) = 0.57122701942311581800298634438537
absolute error = 1e-32
relative error = 1.7506174708085474101646483821199e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.82079211270636809403379858204876
y1[1] (numeric) = 0.82079211270636809403379858204875
absolute error = 1e-32
relative error = 1.2183352940645789496055681503129e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2307.9MB, alloc=4.6MB, time=142.33
x[1] = 0.609
y2[1] (analytic) = 0.57204752578553759705299982781237
y2[1] (numeric) = 0.57204752578553759705299982781238
absolute error = 1e-32
relative error = 1.7481065032608901122956844773267e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.82022047538612732317893227626382
y1[1] (numeric) = 0.82022047538612732317893227626382
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2311.7MB, alloc=4.6MB, time=142.57
x[1] = 0.61
y2[1] (analytic) = 0.57286746010048126119097603216272
y2[1] (numeric) = 0.57286746010048126119097603216273
absolute error = 1e-32
relative error = 1.7456044716252507362706331249149e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.81964801784547951790074657865482
y1[1] (numeric) = 0.81964801784547951790074657865482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2315.5MB, alloc=4.6MB, time=142.80
x[1] = 0.611
y2[1] (analytic) = 0.57368682154801256380110812050361
y2[1] (numeric) = 0.57368682154801256380110812050362
absolute error = 1e-32
relative error = 1.7431113325936993934092146667660e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.81907474065688217114225330358349
y1[1] (numeric) = 0.81907474065688217114225330358349
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2319.3MB, alloc=4.6MB, time=143.04
memory used=2323.1MB, alloc=4.6MB, time=143.28
x[1] = 0.612
y2[1] (analytic) = 0.57450560930877012563221183430752
y2[1] (numeric) = 0.57450560930877012563221183430753
absolute error = 1e-32
relative error = 1.7406270431426655909464127387828e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.81850064439361242372770175220081
y1[1] (numeric) = 0.81850064439361242372770175220081
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2327.0MB, alloc=4.6MB, time=143.51
x[1] = 0.613
y2[1] (analytic) = 0.57532382256396625415903646452381
y2[1] (numeric) = 0.57532382256396625415903646452382
absolute error = 1e-32
relative error = 1.7381515605306209191644805365481e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.81792572962976649108548566129119
y1[1] (numeric) = 0.81792572962976649108548566129119
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2330.8MB, alloc=4.6MB, time=143.75
x[1] = 0.614
y2[1] (analytic) = 0.57614146049538776236988914452402
y2[1] (numeric) = 0.57614146049538776236988914452402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 0.81734999694025908915197561622843
y1[1] (numeric) = 0.81734999694025908915197561622844
absolute error = 1e-32
relative error = 1.2234660839829806450085651131168e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2334.6MB, alloc=4.6MB, time=143.98
x[1] = 0.615
y2[1] (analytic) = 0.5769585222853967869797536773647
y2[1] (numeric) = 0.5769585222853967869797536773647
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 0.8167734469008228594568510241632
y1[1] (numeric) = 0.81677344690082285945685102416321
absolute error = 1e-32
relative error = 1.2243297132080072627997464947452e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2338.4MB, alloc=4.6MB, time=144.22
x[1] = 0.616
y2[1] (analytic) = 0.57777500711693160606808568431733
y2[1] (numeric) = 0.57777500711693160606808568431733
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 0.81619608008800779339050656206213
y1[1] (numeric) = 0.81619608008800779339050656206214
absolute error = 1e-32
relative error = 1.2251957886053229049734029448165e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2342.2MB, alloc=4.6MB, time=144.46
memory used=2346.0MB, alloc=4.6MB, time=144.70
x[1] = 0.617
y2[1] (analytic) = 0.57859091417350745614046643693812
y2[1] (numeric) = 0.57859091417350745614046643693812
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 0.8156178970791806556541088321442
y1[1] (numeric) = 0.8156178970791806556541088321442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2349.8MB, alloc=4.6MB, time=144.93
x[1] = 0.618
y2[1] (analytic) = 0.57940624263921734861329831109204
y2[1] (numeric) = 0.57940624263921734861329831109204
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 0.81503889845252440689287977460952
y1[1] (numeric) = 0.81503889845252440689287977460953
absolute error = 1e-32
relative error = 1.2269353056628983473485246712077e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2353.7MB, alloc=4.6MB, time=145.17
x[1] = 0.619
y2[1] (analytic) = 0.58022099169873288572072537830366
y2[1] (numeric) = 0.58022099169873288572072537830366
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
y1[1] (analytic) = 0.81445908478703762551318420432926
y1[1] (numeric) = 0.81445908478703762551318420432927
absolute error = 1e-32
relative error = 1.2278087612731056578691568555630e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2357.5MB, alloc=4.6MB, time=145.40
x[1] = 0.62
y2[1] (analytic) = 0.58103516053730507584296322758221
y2[1] (numeric) = 0.58103516053730507584296322758222
absolute error = 1e-32
relative error = 1.7210662416285829802640352190038e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.8138784566625339286839996543607
y1[1] (numeric) = 0.8138784566625339286839996543607
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2361.3MB, alloc=4.6MB, time=145.63
x[1] = 0.621
y2[1] (analytic) = 0.58184874834076514825522268945897
y2[1] (numeric) = 0.58184874834076514825522268945898
absolute error = 1e-32
relative error = 1.7186597081314690218398514150300e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.81329701465964139252334752476951
y1[1] (numeric) = 0.81329701465964139252334752476951
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2365.1MB, alloc=4.6MB, time=145.87
x[1] = 0.622
y2[1] (analytic) = 0.58266175429552536729641271338109
y2[1] (numeric) = 0.5826617542955253672964127133811
absolute error = 1e-32
relative error = 1.7162616091201365476753762341968e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.81271475935980197147026535027979
y1[1] (numeric) = 0.81271475935980197147026535027979
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2368.9MB, alloc=4.6MB, time=146.10
TOP MAIN SOLVE Loop
memory used=2372.7MB, alloc=4.6MB, time=146.34
x[1] = 0.623
y2[1] (analytic) = 0.58347417758857984595680822982696
y2[1] (numeric) = 0.58347417758857984595680822982697
absolute error = 1e-32
relative error = 1.7138719045508839004365041781868e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.81213169134527091684290081473111
y1[1] (numeric) = 0.8121316913452709168429008147311
absolute error = 1e-32
relative error = 1.2313273951217579826626046849425e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2376.5MB, alloc=4.6MB, time=146.58
x[1] = 0.624
y2[1] (analytic) = 0.58428601740750535888386940954296
y2[1] (numeric) = 0.58428601740750535888386940954297
absolute error = 1e-32
relative error = 1.7114905546380009078770898151837e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.81154781119911619458330895420011
y1[1] (numeric) = 0.81154781119911619458330895420011
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2380.4MB, alloc=4.6MB, time=146.82
x[1] = 0.625
y2[1] (analytic) = 0.58509727294046215480539931415008
y2[1] (numeric) = 0.58509727294046215480539931415009
absolute error = 1e-32
relative error = 1.7091175198517070755793982318091e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.81096311950521790218953480394108
y1[1] (numeric) = 0.81096311950521790218953480394108
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2384.2MB, alloc=4.6MB, time=147.05
x[1] = 0.626
y2[1] (analytic) = 0.58590794337619476836922751503053
y2[1] (numeric) = 0.58590794337619476836922751503054
absolute error = 1e-32
relative error = 1.7067527609161095473382661082851e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.81037761684826768483556455701403
y1[1] (numeric) = 0.81037761684826768483556455701403
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2388.0MB, alloc=4.6MB, time=147.29
x[1] = 0.627
y2[1] (analytic) = 0.5867180279040328313986078408783
y2[1] (numeric) = 0.58671802790403283139860784087831
absolute error = 1e-32
relative error = 1.7043962388071806125125361845920e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.80979130381376815067972911460066
y1[1] (numeric) = 0.80979130381376815067972911460067
absolute error = 1e-32
relative error = 1.2348860691519294412650345483321e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2391.8MB, alloc=4.6MB, time=147.53
memory used=2395.6MB, alloc=4.6MB, time=147.77
x[1] = 0.628
y2[1] (analytic) = 0.58752752571389188356251899858354
y2[1] (numeric) = 0.58752752571389188356251899858355
absolute error = 1e-32
relative error = 1.7020479147507545424785435804942e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.80920418098803228536214471955587
y1[1] (numeric) = 0.80920418098803228536214471955588
absolute error = 1e-32
relative error = 1.2357820479610071205311551907818e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2399.4MB, alloc=4.6MB, time=148.00
x[1] = 0.629
y2[1] (analytic) = 0.5883364359962741824600573972178
y2[1] (numeric) = 0.58833643599627418246005739721781
absolute error = 1e-32
relative error = 1.6997077502205435410914242297545e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.80861624895818286569177617570531
y1[1] (numeric) = 0.80861624895818286569177617570532
absolute error = 1e-32
relative error = 1.2366805654578361525135769551621e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2403.3MB, alloc=4.6MB, time=148.24
x[1] = 0.63
y2[1] (analytic) = 0.58914475794226951311811209079462
y2[1] (numeric) = 0.58914475794226951311811209079463
absolute error = 1e-32
relative error = 1.6973757069361725967914220639108e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.80802750831215187252370896577706
y1[1] (numeric) = 0.80802750831215187252370896577706
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2407.1MB, alloc=4.6MB, time=148.47
x[1] = 0.631
y2[1] (analytic) = 0.58995249074355599690151234219815
y2[1] (numeric) = 0.58995249074355599690151234219816
absolute error = 1e-32
relative error = 1.6950517468612330266848198786233e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.8074379596386799028272173906462
y1[1] (numeric) = 0.80743795963867990282721739064621
absolute error = 1e-32
relative error = 1.2384852459097781449353441408811e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2410.9MB, alloc=4.6MB, time=148.71
x[1] = 0.632
y2[1] (analytic) = 0.59075963359240089983483889819962
y2[1] (numeric) = 0.59075963359240089983483889819963
absolute error = 1e-32
relative error = 1.6927358322013545055832254618128e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.80684760352731558094521666177536
y1[1] (numeric) = 0.80684760352731558094521666177537
absolute error = 1e-32
relative error = 1.2393914236446577030015644544833e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2414.7MB, alloc=4.6MB, time=148.95
x[1] = 0.633
y2[1] (analytic) = 0.59156618568166144033509065381761
y2[1] (numeric) = 0.59156618568166144033509065381762
absolute error = 1e-32
relative error = 1.6904279254022953756013152716085e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.80625644056841496904568768734982
y1[1] (numeric) = 0.80625644056841496904568768734983
absolute error = 1e-32
relative error = 1.2403001696271657904202456594462e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2418.5MB, alloc=4.6MB, time=149.18
TOP MAIN SOLVE Loop
memory used=2422.3MB, alloc=4.6MB, time=149.42
x[1] = 0.634
y2[1] (analytic) = 0.59237214620478559635439897342298
y2[1] (numeric) = 0.59237214620478559635439897342299
absolute error = 1e-32
relative error = 1.6881279891480510344923679282894e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.80566447135314097676566410063355
y1[1] (numeric) = 0.80566447135314097676566410063355
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2426.1MB, alloc=4.6MB, time=149.66
x[1] = 0.635
y2[1] (analytic) = 0.59317751435581291193198252594122
y2[1] (numeric) = 0.59317751435581291193198252594123
absolute error = 1e-32
relative error = 1.6858359863589802034435939220918e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.80507169647346277004837188650966
y1[1] (numeric) = 0.80507169647346277004837188650966
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2430.0MB, alloc=4.6MB, time=149.90
x[1] = 0.636
y2[1] (analytic) = 0.59398228932937530315453608226469
y2[1] (numeric) = 0.59398228932937530315453608226471
absolute error = 2e-32
relative error = 3.3671037603798977551199220320364e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.80447811652215517917411276901668
y1[1] (numeric) = 0.80447811652215517917411276901668
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2433.8MB, alloc=4.6MB, time=150.13
x[1] = 0.637
y2[1] (analytic) = 0.59478647032069786352424731455312
y2[1] (numeric) = 0.59478647032069786352424731455314
absolute error = 2e-32
relative error = 3.3625512680569835294729833843493e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.80388373209279810598548332894764
y1[1] (numeric) = 0.80388373209279810598548332894765
absolute error = 1e-32
relative error = 1.2439609859956250197880253239322e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2437.6MB, alloc=4.6MB, time=150.37
x[1] = 0.638
y2[1] (analytic) = 0.59559005652559966873363622947259
y2[1] (numeric) = 0.5955900565255996687336362294726
absolute error = 1e-32
relative error = 1.6790072114929910210554247653679e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.80328854377977593030752262624373
y1[1] (numeric) = 0.80328854377977593030752262624374
absolute error = 1e-32
relative error = 1.2448826859830745095213196848991e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2441.4MB, alloc=4.6MB, time=150.60
memory used=2445.2MB, alloc=4.6MB, time=150.84
x[1] = 0.639
y2[1] (analytic) = 0.59639304714049458084641246060074
y2[1] (numeric) = 0.59639304714049458084641246060076
absolute error = 2e-32
relative error = 3.3534931528617441864934670529949e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.80269255217827691556338190698517
y1[1] (numeric) = 0.80269255217827691556338190698518
absolute error = 1e-32
relative error = 1.2458069995620208155747425630590e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2449.0MB, alloc=4.6MB, time=151.08
x[1] = 0.64
y2[1] (analytic) = 0.59719544136239205188354623920793
y2[1] (numeric) = 0.59719544136239205188354623920794
absolute error = 1e-32
relative error = 1.6744936929168164811188136616446e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.80209575788429261358611077926032
y1[1] (numeric) = 0.80209575788429261358611077926033
absolute error = 1e-32
relative error = 1.2467339344091835043765333244264e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2452.8MB, alloc=4.6MB, time=151.31
x[1] = 0.641
y2[1] (analytic) = 0.59799723838889792681374945741014
y2[1] (numeric) = 0.59799723838889792681374945741016
absolute error = 2e-32
relative error = 3.3444970505019824704024454009541e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.80149816149461726862715504607705
y1[1] (numeric) = 0.80149816149461726862715504607706
absolute error = 1e-32
relative error = 1.2476634982358794062620039495917e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2456.7MB, alloc=4.6MB, time=151.55
x[1] = 0.642
y2[1] (analytic) = 0.59879843741821524594756383327983
y2[1] (numeric) = 0.59879843741821524594756383327985
absolute error = 2e-32
relative error = 3.3400220759145900142873736602745e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.80089976360684722056216218676894
y1[1] (numeric) = 0.80089976360684722056216218676895
absolute error = 1e-32
relative error = 1.2485956987882054980512047377118e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2460.5MB, alloc=4.6MB, time=151.78
x[1] = 0.643
y2[1] (analytic) = 0.59959903764914504673425378389305
y2[1] (numeric) = 0.59959903764914504673425378389307
absolute error = 2e-32
relative error = 3.3355623915632409453713993159584e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.80030056481938030729469128104118
y1[1] (numeric) = 0.80030056481938030729469128104119
absolute error = 1e-32
relative error = 1.2495305438472229778515559294847e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2464.3MB, alloc=4.6MB, time=152.02
x[1] = 0.644
y2[1] (analytic) = 0.6003990382810871649607022094871
y2[1] (numeric) = 0.60039903828108716496070220948712
absolute error = 2e-32
relative error = 3.3311179273802658984988426249423e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.79970056573141526635842497189628
y1[1] (numeric) = 0.79970056573141526635842497189629
absolute error = 1e-32
relative error = 1.2504680412291425410605890579101e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2468.1MB, alloc=4.6MB, time=152.25
TOP MAIN SOLVE Loop
memory used=2471.9MB, alloc=4.6MB, time=152.49
x[1] = 0.645
y2[1] (analytic) = 0.60119843851404103535150798989947
y2[1] (numeric) = 0.60119843851404103535150798989949
absolute error = 2e-32
relative error = 3.3266886137351300648314739932490e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.79909976694295113571848186517791
y1[1] (numeric) = 0.79909976694295113571848186517792
absolute error = 1e-32
relative error = 1.2514081987855108666216063064170e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2475.7MB, alloc=4.6MB, time=152.73
x[1] = 0.646
y2[1] (analytic) = 0.6019972375486064915694845932574
y2[1] (numeric) = 0.60199723754860649156948459325743
absolute error = 3e-32
relative error = 4.9834115721465812331592057121551e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.79849816905478665377242856437044
y1[1] (numeric) = 0.79849816905478665377242856437045
absolute error = 1e-32
relative error = 1.2523510244033983226634860075774e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2479.5MB, alloc=4.6MB, time=152.96
x[1] = 0.647
y2[1] (analytic) = 0.60279543458598456561575979648616
y2[1] (numeric) = 0.60279543458598456561575979648619
absolute error = 3e-32
relative error = 4.9768127425525000690439786175868e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.79789577266851965855159133959223
y1[1] (numeric) = 0.79789577266851965855159133959224
absolute error = 1e-32
relative error = 1.2532965260055879007350458310562e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2483.4MB, alloc=4.6MB, time=153.19
x[1] = 0.648
y2[1] (analytic) = 0.60359302882797828662867711760275
y2[1] (numeric) = 0.60359302882797828662867711760278
absolute error = 3e-32
relative error = 4.9702363293115311463091204428679e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.79729257838654648612326822942085
y1[1] (numeric) = 0.79729257838654648612326822942085
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2487.2MB, alloc=4.6MB, time=153.43
x[1] = 0.649
y2[1] (analytic) = 0.60439001947699347908070016096041
y2[1] (numeric) = 0.60439001947699347908070016096044
absolute error = 3e-32
relative error = 4.9636822305504617272620533144429e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.79668858681206136819444317328799
y1[1] (numeric) = 0.79668858681206136819444317328799
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2491.0MB, alloc=4.6MB, time=153.67
memory used=2494.8MB, alloc=4.6MB, time=153.91
x[1] = 0.65
y2[1] (analytic) = 0.60518640573603956037252167860594
y2[1] (numeric) = 0.60518640573603956037252167860597
absolute error = 3e-32
relative error = 4.9571503450269033048518397165628e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.79608379854905582891760457067991
y1[1] (numeric) = 0.79608379854905582891760457067991
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2498.6MB, alloc=4.6MB, time=154.14
x[1] = 0.651
y2[1] (analytic) = 0.60598218680873033782357975370724
y2[1] (numeric) = 0.60598218680873033782357975370727
absolute error = 3e-32
relative error = 4.9506405721244531397209601525967e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.79547821420231808089927146127429
y1[1] (numeric) = 0.7954782142023180808992714612743
absolute error = 1e-32
relative error = 1.2571054519736537215445087119633e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2502.4MB, alloc=4.6MB, time=154.38
x[1] = 0.652
y2[1] (analytic) = 0.60677736189928480505818411560141
y2[1] (numeric) = 0.60677736189928480505818411560144
absolute error = 3e-32
relative error = 4.9441528118479003411920111061232e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.7948718343774324204118313174373
y1[1] (numeric) = 0.79487183437743242041183131743731
absolute error = 1e-32
relative error = 1.2580644536024227627151643637900e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2506.3MB, alloc=4.6MB, time=154.61
x[1] = 0.653
y2[1] (analytic) = 0.60757193021252793778645620040338
y2[1] (numeric) = 0.60757193021252793778645620040341
absolute error = 3e-32
relative error = 4.9376869648184760147363344846620e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.7942646596807786218092942371924
y1[1] (numeric) = 0.79426465968077862180929423719241
absolute error = 1e-32
relative error = 1.2590261795128944452876514505279e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2510.1MB, alloc=4.6MB, time=154.84
x[1] = 0.654
y2[1] (analytic) = 0.60836589095389148897928717630129
y2[1] (numeric) = 0.60836589095389148897928717630132
absolute error = 3e-32
relative error = 4.9312429322691470043121536297316e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.79365669071953133114756912185648
y1[1] (numeric) = 0.79365669071953133114756912185649
absolute error = 1e-32
relative error = 1.2599906378832354567444027432598e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2513.9MB, alloc=4.6MB, time=155.08
x[1] = 0.655
y2[1] (analytic) = 0.60915924332941478343651875864697
y2[1] (numeric) = 0.609159243329414783436518758647
absolute error = 3e-32
relative error = 4.9248206160399527637201034133141e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.7930479281016594590098682180164
y1[1] (numeric) = 0.79304792810165945900986821801641
memory used=2517.7MB, alloc=4.6MB, time=155.32
absolute error = 1e-32
relative error = 1.2609578369288819432657999874737e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2521.5MB, alloc=4.6MB, time=155.55
x[1] = 0.656
y2[1] (analytic) = 0.60995198654574551174755224672681
y2[1] (numeric) = 0.60995198654574551174755224672684
absolute error = 3e-32
relative error = 4.9184199185733848968053262605786e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.79243837243592557253784719839097
y1[1] (numeric) = 0.79243837243592557253784719839098
absolute error = 1e-32
relative error = 1.2619277849027399292381260511423e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2525.3MB, alloc=4.6MB, time=155.78
x[1] = 0.657
y2[1] (analytic) = 0.61074411981014052364359182167023
y2[1] (numeric) = 0.61074411981014052364359182167026
absolute error = 3e-32
relative error = 4.9120407429098089119387650074190e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.79182802433188528666908875038748
y1[1] (numeric) = 0.79182802433188528666908875038749
absolute error = 1e-32
relative error = 1.2629004900953870619893086618886e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2529.1MB, alloc=4.6MB, time=156.01
x[1] = 0.658
y2[1] (analytic) = 0.61153564233046662074072875331851
y2[1] (numeric) = 0.61153564233046662074072875331854
absolute error = 3e-32
relative error = 4.9056829926829277417371000759070e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.79121688439988665458153843481859
y1[1] (numeric) = 0.7912168843998866545815384348186
absolute error = 1e-32
relative error = 1.2638759608352756918867192807970e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2533.0MB, alloc=4.6MB, time=156.25
x[1] = 0.659
y2[1] (analytic) = 0.61232655331520134867307377303585
y2[1] (numeric) = 0.61232655331520134867307377303588
absolute error = 3e-32
relative error = 4.8993465721152865844321155455050e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.79060495325106955734550237029284
y1[1] (numeric) = 0.79060495325106955734550237029285
absolute error = 1e-32
relative error = 1.2648542054889372980203115652805e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2536.8MB, alloc=4.6MB, time=156.49
x[1] = 0.66
y2[1] (analytic) = 0.6131168519734337886151454793963
y2[1] (numeric) = 0.61311685197343378861514547939633
absolute error = 3e-32
relative error = 4.8930313860138186286772799436418e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.78999223149736509278381709123024
y1[1] (numeric) = 0.78999223149736509278381709123025
absolute error = 1e-32
relative error = 1.2658352324611882697842840177057e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2540.6MB, alloc=4.6MB, time=156.72
memory used=2544.4MB, alloc=4.6MB, time=156.96
x[1] = 0.661
y2[1] (analytic) = 0.61390653751486534819272325442414
y2[1] (numeric) = 0.61390653751486534819272325442417
absolute error = 3e-32
relative error = 4.8867373397654312288831175751684e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.7893787197514949635408027192822
y1[1] (numeric) = 0.78937871975149496354080271928221
absolute error = 1e-32
relative error = 1.2668190501953370547612404662198e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2548.2MB, alloc=4.6MB, time=157.19
x[1] = 0.662
y2[1] (analytic) = 0.61469560914981055178137377960066
y2[1] (numeric) = 0.61469560914981055178137377960069
absolute error = 3e-32
relative error = 4.8804643393326321034046308687363e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.78876441862697086436061137915158
y1[1] (numeric) = 0.78876441862697086436061137915159
absolute error = 1e-32
relative error = 1.2678056671733926834045097624308e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2552.0MB, alloc=4.6MB, time=157.43
x[1] = 0.663
y2[1] (analytic) = 0.61548406608919783019186085317667
y2[1] (numeric) = 0.61548406608919783019186085317671
absolute error = 4e-32
relative error = 6.4989497216655935107529348043719e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.78814932873809386857558358041344
y1[1] (numeric) = 0.78814932873809386857558358041345
absolute error = 1e-32
relative error = 1.2687950919162746811068824087803e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2555.8MB, alloc=4.6MB, time=157.66
x[1] = 0.664
y2[1] (analytic) = 0.61627190754457030974164882344686
y2[1] (numeric) = 0.61627190754457030974164882344689
absolute error = 3e-32
relative error = 4.8679811026158653425881135366565e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.78753345069995381380522607692892
y1[1] (numeric) = 0.78753345069995381380522607692893
absolute error = 1e-32
relative error = 1.2697873329840243783375367682794e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2559.7MB, alloc=4.6MB, time=157.90
x[1] = 0.665
y2[1] (analytic) = 0.61705913272808660071171056654808
y2[1] (numeric) = 0.61705913272808660071171056654812
absolute error = 4e-32
relative error = 6.4823609081281368700569003287235e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.78691678512842868686642550482327
y1[1] (numeric) = 0.78691678512842868686642550482327
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2563.5MB, alloc=4.6MB, time=158.13
memory used=2567.3MB, alloc=4.6MB, time=158.37
x[1] = 0.666
y2[1] (analytic) = 0.61784574085252158518785155203961
y2[1] (numeric) = 0.61784574085252158518785155203965
absolute error = 4e-32
relative error = 6.4741079132158186591171391909045e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.78629933264018400789551288876302
y1[1] (numeric) = 0.78629933264018400789551288876302
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2571.1MB, alloc=4.6MB, time=158.60
x[1] = 0.667
y2[1] (analytic) = 0.61863173113126720428576215500663
y2[1] (numeric) = 0.61863173113126720428576215500667
absolute error = 4e-32
relative error = 6.4658823637858978476246473956213e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.78568109385267221368279489441666
y1[1] (numeric) = 0.78568109385267221368279489441666
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2574.9MB, alloc=4.6MB, time=158.84
x[1] = 0.668
y2[1] (analytic) = 0.61941710277833324475901098970051
y2[1] (numeric) = 0.61941710277833324475901098970055
absolute error = 4e-32
relative error = 6.4576841389403060920164771420494e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.78506206938413204022016849251592
y1[1] (numeric) = 0.78506206938413204022016849251592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2578.7MB, alloc=4.6MB, time=159.07
x[1] = 0.669
y2[1] (analytic) = 0.62020185500834812498919265678791
y2[1] (numeric) = 0.62020185500834812498919265678795
absolute error = 4e-32
relative error = 6.4495131185090677588625538544030e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.78444225985358790446243648685181
y1[1] (numeric) = 0.78444225985358790446243648685181
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2582.5MB, alloc=4.6MB, time=159.30
x[1] = 0.67
y2[1] (analytic) = 0.62098598703655968035744391412659
y2[1] (numeric) = 0.62098598703655968035744391412663
absolute error = 4e-32
relative error = 6.4413691830448753775237599965938e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.78382166588084928530294214483812
y1[1] (numeric) = 0.78382166588084928530294214483812
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2586.4MB, alloc=4.6MB, time=159.54
x[1] = 0.671
y2[1] (analytic) = 0.62176949807883594799654289961709
y2[1] (numeric) = 0.62176949807883594799654289961713
absolute error = 4e-32
relative error = 6.4332522138177136232289449586541e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.78320028808651010376414195495638
y1[1] (numeric) = 0.78320028808651010376414195495638
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2590.2MB, alloc=4.6MB, time=159.78
memory used=2594.0MB, alloc=4.6MB, time=160.02
x[1] = 0.672
y2[1] (analytic) = 0.62255238735166595092280665409653
y2[1] (numeric) = 0.62255238735166595092280665409657
absolute error = 4e-32
relative error = 6.4251620928095313251107423102801e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.78257812709194810240373632045772
y1[1] (numeric) = 0.78257812709194810240373632045772
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2597.8MB, alloc=4.6MB, time=160.25
x[1] = 0.673
y2[1] (analytic) = 0.62333465407216048154700281244236
y2[1] (numeric) = 0.62333465407216048154700281244239
absolute error = 3e-32
relative error = 4.8128240270317207498115542760429e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.78195518351932422393697878313928
y1[1] (numeric) = 0.78195518351932422393697878313928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2601.6MB, alloc=4.6MB, time=160.48
x[1] = 0.674
y2[1] (analytic) = 0.62411629745805288456349195203955
y2[1] (numeric) = 0.62411629745805288456349195203958
absolute error = 3e-32
relative error = 4.8067964451795640625227283102779e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.78133145799158198907578515483418
y1[1] (numeric) = 0.78133145799158198907578515483418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2605.4MB, alloc=4.6MB, time=160.72
x[1] = 0.675
y2[1] (analytic) = 0.6248973167276998392168177095343
y2[1] (numeric) = 0.62489731672769983921681770953433
absolute error = 3e-32
relative error = 4.8007887371154380312415782600538e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.78070695113244687358526471745402
y1[1] (numeric) = 0.78070695113244687358526471745401
absolute error = 1e-32
relative error = 1.2808903501492586015379228845732e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2609.3MB, alloc=4.6MB, time=160.95
x[1] = 0.676
y2[1] (analytic) = 0.62567771110008214094496239934914
y2[1] (numeric) = 0.62567771110008214094496239934917
absolute error = 3e-32
relative error = 4.7948008164224441565376270226373e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.78008166356642568455829643500084
y1[1] (numeric) = 0.78008166356642568455829643500084
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2613.1MB, alloc=4.6MB, time=161.18
memory used=2616.9MB, alloc=4.6MB, time=161.42
x[1] = 0.677
y2[1] (analytic) = 0.62645747979480548239848649076909
y2[1] (numeric) = 0.62645747979480548239848649076911
absolute error = 2e-32
relative error = 3.1925550647988029394072508668424e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.77945559591880593590877390292041
y1[1] (numeric) = 0.7794555959188059359087739029204
absolute error = 1e-32
relative error = 1.2829467197823128569746433614469e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2620.7MB, alloc=4.6MB, time=161.65
x[1] = 0.678
y2[1] (analytic) = 0.62723662203210123383477092452439
y2[1] (numeric) = 0.62723662203210123383477092452441
absolute error = 2e-32
relative error = 3.1885893293673824235583652700314e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.77882874881565522308414354149961
y1[1] (numeric) = 0.77882874881565522308414354149961
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2624.5MB, alloc=4.6MB, time=161.89
x[1] = 0.679
y2[1] (analytic) = 0.6280151370328272228865818746926
y2[1] (numeric) = 0.62801513703282722288658187469263
absolute error = 3e-32
relative error = 4.7769549220963854507430250033235e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.77820112288382059699786132071801
y1[1] (numeric) = 0.77820112288382059699786132071801
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2628.3MB, alloc=4.6MB, time=162.13
x[1] = 0.68
y2[1] (analytic) = 0.62879302401846851370417818742025
y2[1] (numeric) = 0.62879302401846851370417818742027
absolute error = 2e-32
relative error = 3.1806968646351541844819338546206e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.77757271875092793718239408404432
y1[1] (numeric) = 0.77757271875092793718239408404432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2632.1MB, alloc=4.6MB, time=162.36
x[1] = 0.681
y2[1] (analytic) = 0.62957028221113818547018235442143
y2[1] (numeric) = 0.62957028221113818547018235442145
absolute error = 2e-32
relative error = 3.1767700231588481199215366273036e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.77694353704538132416339231812446
y1[1] (numeric) = 0.77694353704538132416339231812446
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2636.0MB, alloc=4.6MB, time=162.60
x[1] = 0.682
y2[1] (analytic) = 0.63034691083357811028643650644746
y2[1] (numeric) = 0.63034691083357811028643650644749
absolute error = 3e-32
relative error = 4.7592840520670831773595059183183e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.77631357839636241105566199413604
y1[1] (numeric) = 0.77631357839636241105566199413604
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2639.8MB, alloc=4.6MB, time=162.83
TOP MAIN SOLVE Loop
memory used=2643.6MB, alloc=4.6MB, time=163.07
x[1] = 0.683
y2[1] (analytic) = 0.63112290910915973043206553993625
y2[1] (numeric) = 0.63112290910915973043206553993627
absolute error = 2e-32
relative error = 3.1689548440303531169619741314575e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.77568284343382979438156388478507
y1[1] (numeric) = 0.77568284343382979438156388478507
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2647.4MB, alloc=4.6MB, time=163.30
x[1] = 0.684
y2[1] (analytic) = 0.63189827626188483499197011884303
y2[1] (numeric) = 0.63189827626188483499197011884305
absolute error = 2e-32
relative error = 3.1650663961791171417881861476900e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.77505133278851838411246953849312
y1[1] (numeric) = 0.77505133278851838411246953849313
absolute error = 1e-32
relative error = 1.2902371206848326666390019169482e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2651.2MB, alloc=4.6MB, time=163.54
x[1] = 0.685
y2[1] (analytic) = 0.63267301151638633585497292322433
y2[1] (numeric) = 0.63267301151638633585497292322436
absolute error = 3e-32
relative error = 4.7417859548167236825337217708106e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.77441904709193877293390386926657
y1[1] (numeric) = 0.77441904709193877293390386926658
absolute error = 1e-32
relative error = 1.2912905535512743283615987235738e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2655.0MB, alloc=4.6MB, time=163.77
x[1] = 0.686
y2[1] (analytic) = 0.63344711409792904308084214649343
y2[1] (numeric) = 0.63344711409792904308084214649346
absolute error = 3e-32
relative error = 4.7359912662514852143706603987940e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.77378598697637660473500509705261
y1[1] (numeric) = 0.77378598697637660473500509705262
absolute error = 1e-32
relative error = 1.2923470014074183848379492153398e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2658.8MB, alloc=4.6MB, time=164.01
x[1] = 0.687
y2[1] (analytic) = 0.63422058323241043963541687438845
y2[1] (numeric) = 0.63422058323241043963541687438848
absolute error = 3e-32
relative error = 4.7302154476128828954295380686367e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.77315215307489194232293354906961
y1[1] (numeric) = 0.77315215307489194232293354906962
absolute error = 1e-32
relative error = 1.2934064737748124423394677949525e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2662.7MB, alloc=4.6MB, time=164.24
memory used=2666.5MB, alloc=4.6MB, time=164.48
x[1] = 0.688
y2[1] (analytic) = 0.63499341814636145549305961059239
y2[1] (numeric) = 0.63499341814636145549305961059241
absolute error = 2e-32
relative error = 3.1496389456103216799687326898757e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.77251754602131863436286160765029
y1[1] (numeric) = 0.7725175460213186343628616076503
absolute error = 1e-32
relative error = 1.2944689802196462850523152078977e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2670.3MB, alloc=4.6MB, time=164.72
x[1] = 0.689
y2[1] (analytic) = 0.63576561806694724110566184661687
y2[1] (numeric) = 0.63576561806694724110566184661689
absolute error = 2e-32
relative error = 3.1458133990967037036237642879066e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.77188216645026368154417786455494
y1[1] (numeric) = 0.77188216645026368154417786455494
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2674.1MB, alloc=4.6MB, time=164.95
x[1] = 0.69
y2[1] (analytic) = 0.63653718222196794023742920700872
y2[1] (numeric) = 0.63653718222196794023742920700874
absolute error = 2e-32
relative error = 3.1420002725034476796470444715189e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.77124601499710660197353931549777
y1[1] (numeric) = 0.77124601499710660197353931549777
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2677.9MB, alloc=4.6MB, time=165.18
x[1] = 0.691
y2[1] (analytic) = 0.63730810983985946216467333515846
y2[1] (numeric) = 0.63730810983985946216467333515848
absolute error = 2e-32
relative error = 3.1381995131092133094993404240904e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.77060909229799879579540620178138
y1[1] (numeric) = 0.77060909229799879579540620178138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2681.7MB, alloc=4.6MB, time=165.41
x[1] = 0.692
y2[1] (analytic) = 0.63807840014969425323983831998321
y2[1] (numeric) = 0.63807840014969425323983831998323
absolute error = 2e-32
relative error = 3.1344110685000411795074126006437e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.76997139898986290904069487845139
y1[1] (numeric) = 0.76997139898986290904069487845139
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2685.5MB, alloc=4.6MB, time=165.65
x[1] = 0.693
y2[1] (analytic) = 0.63884805238118206781899009952198
y2[1] (numeric) = 0.638848052381182067818990099522
absolute error = 2e-32
relative error = 3.1306348865671396308054613962184e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.7693329357103921967041848602655
y1[1] (numeric) = 0.7693329357103921967041848602655
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2689.4MB, alloc=4.6MB, time=165.88
TOP MAIN SOLVE Loop
memory used=2693.2MB, alloc=4.6MB, time=166.11
x[1] = 0.694
y2[1] (analytic) = 0.63961706576467073855199791401804
y2[1] (numeric) = 0.63961706576467073855199791401806
absolute error = 2e-32
relative error = 3.1268709155046907756975906190421e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.76869370309804988505131696801677
y1[1] (numeric) = 0.76869370309804988505131696801677
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2697.0MB, alloc=4.6MB, time=166.35
x[1] = 0.695
y2[1] (analytic) = 0.64038543953114694603463751837122
y2[1] (numeric) = 0.64038543953114694603463751837125
absolute error = 3e-32
relative error = 4.6846786557115132014505074700963e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.76805370179206853315502026835991
y1[1] (numeric) = 0.76805370179206853315502026835991
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2700.8MB, alloc=4.6MB, time=166.58
x[1] = 0.696
y2[1] (analytic) = 0.64115317291223698782184650192101
y2[1] (numeric) = 0.64115317291223698782184650192104
absolute error = 3e-32
relative error = 4.6790691004045755513109322114436e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.76741293243244939366320627026033
y1[1] (numeric) = 0.76741293243244939366320627026033
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2704.6MB, alloc=4.6MB, time=166.81
x[1] = 0.697
y2[1] (analytic) = 0.64192026514020754680136270236923
y2[1] (numeric) = 0.64192026514020754680136270236925
absolute error = 2e-32
relative error = 3.1156517539809435847721197273669e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.76677139565996177279756961051859
y1[1] (numeric) = 0.76677139565996177279756961051859
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2708.4MB, alloc=4.6MB, time=167.05
x[1] = 0.698
y2[1] (analytic) = 0.64268671544796645892697734026787
y2[1] (numeric) = 0.64268671544796645892697734026789
absolute error = 2e-32
relative error = 3.1119361143258687064325941068582e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.76612909211614238958433522951618
y1[1] (numeric) = 0.76612909211614238958433522951618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2712.2MB, alloc=4.6MB, time=167.28
memory used=2716.1MB, alloc=4.6MB, time=167.52
x[1] = 0.699
y2[1] (analytic) = 0.64345252306906348031063514088304
y2[1] (numeric) = 0.64345252306906348031063514088307
absolute error = 3e-32
relative error = 4.6623486464719355464444562915859e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.76548602244329473431759280638201
y1[1] (numeric) = 0.76548602244329473431759280638202
absolute error = 1e-32
relative error = 1.3063595816004301595871539146873e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2719.9MB, alloc=4.6MB, time=167.76
x[1] = 0.7
y2[1] (analytic) = 0.64421768723769105367261435139872
y2[1] (numeric) = 0.64421768723769105367261435139875
absolute error = 3e-32
relative error = 4.6568109808713117359699209228648e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.76484218728448842625585999019186
y1[1] (numeric) = 0.76484218728448842625585999019187
absolute error = 1e-32
relative error = 1.3074592597335938698746728353053e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2723.7MB, alloc=4.6MB, time=168.00
x[1] = 0.701
y2[1] (analytic) = 0.64498220718868507414902020334415
y2[1] (numeric) = 0.64498220718868507414902020334418
absolute error = 3e-32
relative error = 4.6512911000696346246566817930041e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.76419758728355857055251673058384
y1[1] (numeric) = 0.76419758728355857055251673058384
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2727.5MB, alloc=4.6MB, time=168.24
x[1] = 0.702
y2[1] (analytic) = 0.64574608215752565445582601281535
y2[1] (numeric) = 0.64574608215752565445582601281538
absolute error = 3e-32
relative error = 4.6457889298787399508483892036349e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.76355222308510511442075377730208
y1[1] (numeric) = 0.76355222308510511442075377730208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2731.3MB, alloc=4.6MB, time=168.47
x[1] = 0.703
y2[1] (analytic) = 0.64650931138033788940869675451334
y2[1] (numeric) = 0.64650931138033788940869675451337
absolute error = 3e-32
relative error = 4.6403043965365510715860237738692e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.7629060953344922025336791836665
y1[1] (numeric) = 0.7629060953344922025336791836665
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2735.1MB, alloc=4.6MB, time=168.70
x[1] = 0.704
y2[1] (analytic) = 0.64727189409389261979783058983915
y2[1] (numeric) = 0.64727189409389261979783058983918
absolute error = 3e-32
relative error = 4.6348374267040598114858362881597e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.7622592046778475316602274138083
y1[1] (numeric) = 0.7622592046778475316602274138083
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2739.0MB, alloc=4.6MB, time=168.94
TOP MAIN SOLVE Loop
memory used=2742.8MB, alloc=4.6MB, time=169.18
x[1] = 0.705
y2[1] (analytic) = 0.64803382953560719561705447426787
y2[1] (numeric) = 0.6480338295356071956170544742679
absolute error = 3e-32
relative error = 4.6293879474623330258832951971515e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.76161155176206170453751641770848
y1[1] (numeric) = 0.76161155176206170453751641770848
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2746.6MB, alloc=4.6MB, time=169.41
x[1] = 0.706
y2[1] (analytic) = 0.64879511694354623864641061496962
y2[1] (numeric) = 0.64879511694354623864641061496966
absolute error = 4e-32
relative error = 6.1652745150793928311172208826032e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.76096313723478758298029880162827
y1[1] (numeric) = 0.76096313723478758298029880162828
absolute error = 1e-32
relative error = 1.3141241028229465708823773382326e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2750.4MB, alloc=4.6MB, time=169.65
x[1] = 0.707
y2[1] (analytic) = 0.64955575555642240438747119615466
y2[1] (numeric) = 0.64955575555642240438747119615469
absolute error = 3e-32
relative error = 4.6185411711580327954783808449991e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.76031396174443964022815398442661
y1[1] (numeric) = 0.76031396174443964022815398442662
absolute error = 1e-32
relative error = 1.3152461355643562094593720346897e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2754.2MB, alloc=4.6MB, time=169.88
x[1] = 0.708
y2[1] (analytic) = 0.6503157446135971433506194368912
y2[1] (numeric) = 0.65031574461359714335061943689123
absolute error = 3e-32
relative error = 4.6131437303313822050152357663582e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.7596640259401933125310689925183
y1[1] (numeric) = 0.75966402594019331253106899251831
absolute error = 1e-32
relative error = 1.3163714034797901738747780195774e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2758.0MB, alloc=4.6MB, time=170.12
x[1] = 0.709
y2[1] (analytic) = 0.65107508335508146169353569417858
y2[1] (numeric) = 0.65107508335508146169353569417861
absolute error = 3e-32
relative error = 4.6077634925615308855601536333626e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.75901333047198434997405630783822
y1[1] (numeric) = 0.75901333047198434997405630783823
absolute error = 1e-32
relative error = 1.3174999171334193274588603440274e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2761.8MB, alloc=4.6MB, time=170.35
memory used=2765.7MB, alloc=4.6MB, time=170.59
x[1] = 0.71
y2[1] (analytic) = 0.65183377102153668121012797285284
y2[1] (numeric) = 0.65183377102153668121012797285286
absolute error = 2e-32
relative error = 3.0682669246572677397779021813019e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.75836187599050816654145794413955
y1[1] (numeric) = 0.75836187599050816654145794413957
absolute error = 2e-32
relative error = 2.6372633742799492530594693858876e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2769.5MB, alloc=4.6MB, time=170.82
x[1] = 0.711
y2[1] (analytic) = 0.6525918068542751986691468534576
y2[1] (numeric) = 0.65259180685427519866914685345762
absolute error = 2e-32
relative error = 3.0647028954297049894997902804717e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.7577096631472191894215856872678
y1[1] (numeric) = 0.75770966314721918942158568726782
absolute error = 2e-32
relative error = 2.6395334483300762990080584996728e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2773.3MB, alloc=4.6MB, time=171.06
x[1] = 0.712
y2[1] (analytic) = 0.65334919009526124450172549952873
y2[1] (numeric) = 0.65334919009526124450172549952875
absolute error = 2e-32
relative error = 3.0611501939849210234947991530388e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.7570566925943302075523481947161
y1[1] (numeric) = 0.75705669259433020755234819471612
absolute error = 2e-32
relative error = 2.6418100778506723352722503489935e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2777.1MB, alloc=4.6MB, time=171.29
x[1] = 0.713
y2[1] (analytic) = 0.65410591998711164083708605681577
y2[1] (numeric) = 0.65410591998711164083708605681579
absolute error = 2e-32
relative error = 3.0576087738808533640200861711349e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.75640296498481171940851640878051
y1[1] (numeric) = 0.75640296498481171940851640878053
absolute error = 2e-32
relative error = 2.6440932843780685480432926678575e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2780.9MB, alloc=4.6MB, time=171.53
x[1] = 0.714
y2[1] (analytic) = 0.65486199577309655888565440879708
y2[1] (numeric) = 0.6548619957730965588856544087971
absolute error = 2e-32
relative error = 3.0540785889382729445544723434355e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.75574848097239128003127949599547
y1[1] (numeric) = 0.75574848097239128003127949599549
absolute error = 2e-32
relative error = 2.6463830895520691753125739647100e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2784.7MB, alloc=4.6MB, time=171.76
x[1] = 0.715
y2[1] (analytic) = 0.655617416697140275668825905437
y2[1] (numeric) = 0.65561741669714027566882590543702
absolute error = 2e-32
relative error = 3.0505595932389508765356171733896e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.75509324121155284730074428323906
y1[1] (numeric) = 0.75509324121155284730074428323908
absolute error = 2e-32
relative error = 2.6486795151165500989962365024474e-30 %
Correct digits = 31
h = 0.001
memory used=2788.5MB, alloc=4.6MB, time=172.00
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2792.4MB, alloc=4.6MB, time=172.24
x[1] = 0.716
y2[1] (analytic) = 0.65637218200382193009462533548235
y2[1] (numeric) = 0.65637218200382193009462533548237
absolute error = 2e-32
relative error = 3.0470517411238405914812493785611e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.75443724635753612745203191795418
y1[1] (numeric) = 0.75443724635753612745203191795419
absolute error = 1e-32
relative error = 1.3254912914600308276402197034088e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2796.2MB, alloc=4.6MB, time=172.47
x[1] = 0.717
y2[1] (analytic) = 0.65712629093837627837850506670131
y2[1] (numeric) = 0.65712629093837627837850506670133
absolute error = 2e-32
relative error = 3.0435549871912752084216757062203e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.75378049706633591983562623633442
y1[1] (numeric) = 0.75378049706633591983562623633444
absolute error = 2e-32
relative error = 2.6532923149164356977217203840425e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2800.0MB, alloc=4.6MB, time=172.71
x[1] = 0.718
y2[1] (analytic) = 0.6578797427466944488085259333295
y2[1] (numeric) = 0.65787974274669444880852593332952
absolute error = 2e-32
relative error = 3.0400692862951799782430323929886e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.75312299399470146092262907907173
y1[1] (numeric) = 0.75312299399470146092262907907175
absolute error = 2e-32
relative error = 2.6556087331653969479610449159774e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2803.8MB, alloc=4.6MB, time=172.94
x[1] = 0.719
y2[1] (analytic) = 0.65863253667532469585416610560527
y2[1] (numeric) = 0.65863253667532469585416610560529
absolute error = 2e-32
relative error = 3.0365945935432996581920544702167e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.75246473780013576755557854935575
y1[1] (numeric) = 0.75246473780013576755557854935577
absolute error = 2e-32
relative error = 2.6579318598331786692376963393421e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2807.6MB, alloc=4.6MB, time=173.18
x[1] = 0.72
y2[1] (analytic) = 0.65938467197147315361800383264817
y2[1] (numeric) = 0.65938467197147315361800383264818
absolute error = 1e-32
relative error = 1.5165654321477203357119039156049e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.75180572914089497944548696225195
y1[1] (numeric) = 0.75180572914089497944548696225197
absolute error = 2e-32
relative error = 2.6602617171931426982201891539493e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2811.4MB, alloc=4.6MB, time=173.41
memory used=2815.2MB, alloc=4.6MB, time=173.65
x[1] = 0.721
y2[1] (analytic) = 0.6601361478830045886295206070606
y2[1] (numeric) = 0.66013614788300458862952060706061
absolute error = 1e-32
relative error = 1.5148390270808639540420720176833e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.75114596867598770091575598836582
y1[1] (numeric) = 0.75114596867598770091575598836584
absolute error = 2e-32
relative error = 2.6625983276264038710059220138567e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2819.1MB, alloc=4.6MB, time=173.89
x[1] = 0.722
y2[1] (analytic) = 0.66088696365844315198027195751232
y2[1] (numeric) = 0.66088696365844315198027195751233
absolute error = 1e-32
relative error = 1.5131180595004380130044400750321e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.75048545706517434189362724782304
y1[1] (numeric) = 0.75048545706517434189362724782307
absolute error = 3e-32
relative error = 3.9974125704336883192190511506016e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2822.9MB, alloc=4.6MB, time=174.12
x[1] = 0.723
y2[1] (analytic) = 0.66163711854697313079967373419959
y2[1] (numeric) = 0.6616371185469731307996737341996
absolute error = 1e-32
relative error = 1.5114025074592375553460765783703e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.74982419496896645814982736306022
y1[1] (numeric) = 0.74982419496896645814982736306025
absolute error = 3e-32
relative error = 4.0009378466697293918403961876370e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2826.7MB, alloc=4.6MB, time=174.36
x[1] = 0.724
y2[1] (analytic) = 0.66238661179843969907065241145532
y2[1] (numeric) = 0.66238661179843969907065241145534
absolute error = 2e-32
relative error = 3.0193846982652905557273239879750e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.74916218304862609078706723072606
y1[1] (numeric) = 0.74916218304862609078706723072608
absolute error = 2e-32
relative error = 2.6696489028066508932185774413614e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2830.5MB, alloc=4.6MB, time=174.59
x[1] = 0.725
y2[1] (analytic) = 0.66313544266334966778440859192254
y2[1] (numeric) = 0.66313544266334966778440859192256
absolute error = 2e-32
relative error = 3.0159751256355770264554793839155e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.7484994219661651049780560241387
y1[1] (numeric) = 0.74849942196616510497805602413872
absolute error = 2e-32
relative error = 2.6720127515214130264819665863725e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2834.3MB, alloc=4.6MB, time=174.83
memory used=2838.1MB, alloc=4.6MB, time=175.07
x[1] = 0.726
y2[1] (analytic) = 0.66388361039287223443354355759009
y2[1] (numeric) = 0.66388361039287223443354355759011
absolute error = 2e-32
relative error = 3.0125762538654063710692656459284e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.74783591238434452795369118823017
y1[1] (numeric) = 0.74783591238434452795369118823019
absolute error = 2e-32
relative error = 2.6743834668535085660141875155337e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2842.0MB, alloc=4.6MB, time=175.30
x[1] = 0.727
y2[1] (analytic) = 0.66463111423883973184279937462657
y2[1] (numeric) = 0.66463111423883973184279937462659
absolute error = 2e-32
relative error = 3.0091880400310093449137481970644e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.7471716549666738862420864387327
y1[1] (numeric) = 0.74717165496667388624208643873272
absolute error = 2e-32
relative error = 2.6767610718439339671993118882144e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2845.8MB, alloc=4.6MB, time=175.54
x[1] = 0.728
y2[1] (analytic) = 0.66537795345374837633666372133474
y2[1] (numeric) = 0.66537795345374837633666372133476
absolute error = 2e-32
relative error = 3.0058104414471310152014818608646e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.74650665037741054215910052652369
y1[1] (numeric) = 0.74650665037741054215910052652371
absolute error = 2e-32
relative error = 2.6791455896459357870268996432580e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2849.6MB, alloc=4.6MB, time=175.77
x[1] = 0.729
y2[1] (analytic) = 0.66612412729075901524309127168396
y2[1] (numeric) = 0.66612412729075901524309127168398
absolute error = 2e-32
relative error = 3.0024434156653997148162522887653e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.74584089928155902955103027654531
y1[1] (numeric) = 0.74584089928155902955103027654533
absolute error = 2e-32
relative error = 2.6815370435256715954373709805841e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2853.4MB, alloc=4.6MB, time=176.01
x[1] = 0.73
y2[1] (analytic) = 0.66686963500369787373259413076153
y2[1] (numeric) = 0.66686963500369787373259413076155
absolute error = 2e-32
relative error = 2.9990869204727094153192585309935e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.74517440234487038879013215855033
y1[1] (numeric) = 0.74517440234487038879013215855035
absolute error = 2e-32
relative error = 2.6839354568628756191548285450706e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2857.2MB, alloc=4.6MB, time=176.24
x[1] = 0.731
y2[1] (analytic) = 0.66761447584705730099195448311474
y2[1] (numeric) = 0.66761447584705730099195448311476
absolute error = 2e-32
relative error = 2.9957409138896153906930961305745e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.74450716023384150102363739409716
y1[1] (numeric) = 0.74450716023384150102363739409717
absolute error = 1e-32
relative error = 1.3431704265757645787032644145165e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2861.0MB, alloc=4.6MB, time=176.48
TOP MAIN SOLVE Loop
memory used=2864.8MB, alloc=4.6MB, time=176.71
x[1] = 0.732
y2[1] (analytic) = 0.66835864907599651573181328033319
y2[1] (numeric) = 0.66835864907599651573181328033322
absolute error = 3e-32
relative error = 4.4886080312531145671445171086879e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.74383917361571442167692635072351
y1[1] (numeric) = 0.74383917361571442167692635072352
absolute error = 1e-32
relative error = 1.3443766280002679046520701249114e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2868.7MB, alloc=4.6MB, time=176.95
x[1] = 0.733
y2[1] (analytic) = 0.66910215394634235102738946034485
y2[1] (numeric) = 0.66910215394634235102738946034487
absolute error = 2e-32
relative error = 2.9890801997932097766217692211727e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.74317044315847571321152872006884
y1[1] (numeric) = 0.74317044315847571321152872006885
absolute error = 1e-32
relative error = 1.3455863445672007765209508248948e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2872.5MB, alloc=4.6MB, time=177.19
x[1] = 0.734
y2[1] (analytic) = 0.66984498971458999849158485776852
y2[1] (numeric) = 0.66984498971458999849158485776854
absolute error = 2e-32
relative error = 2.9857654094750597597543434053820e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.74250096953085577713861672188964
y1[1] (numeric) = 0.74250096953085577713861672188965
absolute error = 1e-32
relative error = 1.3467995881969598587254286818316e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2876.3MB, alloc=4.6MB, time=177.42
x[1] = 0.735
y2[1] (analytic) = 0.67058715563790375177973063228011
y2[1] (numeric) = 0.67058715563790375177973063228014
absolute error = 3e-32
relative error = 4.4736914132305672678675986236346e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.74183075340232818528865932041883
y1[1] (numeric) = 0.74183075340232818528865932041884
absolute error = 1e-32
relative error = 1.3480163708684304434182711974633e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2880.1MB, alloc=4.6MB, time=177.66
x[1] = 0.736
y2[1] (analytic) = 0.67132865097411774942523171030799
y2[1] (numeric) = 0.67132865097411774942523171030802
absolute error = 3e-32
relative error = 4.4687501354916272011796261628125e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.74115979544310901033790618335927
y1[1] (numeric) = 0.74115979544310901033790618335928
absolute error = 1e-32
relative error = 1.3492367046193338902099365869454e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2883.9MB, alloc=4.6MB, time=177.89
memory used=2887.7MB, alloc=4.6MB, time=178.13
x[1] = 0.737
y2[1] (analytic) = 0.67206947498173671700536640447498
y2[1] (numeric) = 0.67206947498173671700536640447501
absolute error = 3e-32
relative error = 4.4638242200801101477933105770503e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.74048809632415615559237085697158
y1[1] (numeric) = 0.7404880963241561555923708569716
absolute error = 2e-32
relative error = 2.7009212030931551480976160252618e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2891.5MB, alloc=4.6MB, time=178.36
x[1] = 0.738
y2[1] (analytic) = 0.67280962691993670863649904504927
y2[1] (numeric) = 0.67280962691993670863649904504929
absolute error = 2e-32
relative error = 2.9726090709430304661153395306775e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.73981565671716868402998337321739
y1[1] (numeric) = 0.73981565671716868402998337321741
absolute error = 2e-32
relative error = 2.7033761476132147246397077043472e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2895.4MB, alloc=4.6MB, time=178.60
x[1] = 0.739
y2[1] (analytic) = 0.67354910604856584779796412825327
y2[1] (numeric) = 0.67354910604856584779796412825329
absolute error = 2e-32
relative error = 2.9693454894969324165319591238240e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.73914247729458614660158324674932
y1[1] (numeric) = 0.73914247729458614660158324674933
absolute error = 1e-32
relative error = 1.3529191336157626424229708466991e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2899.2MB, alloc=4.6MB, time=178.83
x[1] = 0.74
y2[1] (analytic) = 0.67428791162814506748388115760817
y2[1] (numeric) = 0.6742879116281450674838811576082
absolute error = 3e-32
relative error = 4.4491380436528334605194900702897e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.73846855872958790979142456069883
y1[1] (numeric) = 0.73846855872958790979142456069885
absolute error = 2e-32
relative error = 2.7083075865012678425941625899104e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2903.0MB, alloc=4.6MB, time=179.07
x[1] = 0.741
y2[1] (analytic) = 0.67502604291986884968216002656091
y2[1] (numeric) = 0.67502604291986884968216002656094
absolute error = 3e-32
relative error = 4.4442729750444972177418708385651e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.73779390169609248243786558070087
y1[1] (numeric) = 0.73779390169609248243786558070089
absolute error = 2e-32
relative error = 2.7107841300968460371261817659908e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2906.8MB, alloc=4.6MB, time=179.30
x[1] = 0.742
y2[1] (analytic) = 0.67576349918560596417995746344981
y2[1] (numeric) = 0.67576349918560596417995746344983
absolute error = 2e-32
relative error = 2.9596153127688800283540701399498e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.73711850686875684181491607640942
y1[1] (numeric) = 0.73711850686875684181491607640944
absolute error = 2e-32
relative error = 2.7132679228146117503361941332522e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
memory used=2910.6MB, alloc=4.6MB, time=179.54
TOP MAIN SOLVE Loop
memory used=2914.4MB, alloc=4.6MB, time=179.78
x[1] = 0.743
y2[1] (analytic) = 0.67650027968790020669484573341403
y2[1] (numeric) = 0.67650027968790020669484573341406
absolute error = 3e-32
relative error = 4.4345879670353336555976767611827e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.73644237492297575897531626890064
y1[1] (numeric) = 0.73644237492297575897531626890066
absolute error = 2e-32
relative error = 2.7157589895735959992495926244224e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2918.2MB, alloc=4.6MB, time=180.01
x[1] = 0.744
y2[1] (analytic) = 0.67723638368997113633095546613973
y2[1] (numeric) = 0.67723638368997113633095546613976
absolute error = 3e-32
relative error = 4.4297679100675074059160819995172e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.73576550653488112335582206082836
y1[1] (numeric) = 0.73576550653488112335582206082838
absolute error = 2e-32
relative error = 2.7182573554162451483077989369126e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
TOP MAIN SOLVE Loop
memory used=2922.1MB, alloc=4.6MB, time=180.25
x[1] = 0.745
y2[1] (analytic) = 0.67797181045571481235935515336133
y2[1] (numeric) = 0.67797181045571481235935515336136
absolute error = 3e-32
relative error = 4.4249627399456017725405899014717e-30 %
Correct digits = 31
h = 0.001
y1[1] (analytic) = 0.73508790238134126664537194399042
y1[1] (numeric) = 0.73508790238134126664537194399044
absolute error = 2e-32
relative error = 2.7207630455091624865071119439783e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
NO POLE for equation 2
Finished!
Maximum Time Reached before Solution Completed!
diff ( y2 , x , 3 ) = m1 * cos(x) ;
diff ( y1 , x , 1 ) = m1 * y2;
Iterations = 646
Total Elapsed Time = 3 Minutes 0 Seconds
Elapsed Time(since restart) = 3 Minutes 0 Seconds
Expected Time Remaining = 19 Minutes 45 Seconds
Optimized Time Remaining = 19 Minutes 43 Seconds
Expected Total Time = 22 Minutes 44 Seconds
Time to Timeout Unknown
Percent Done = 13.2 %
> quit
memory used=2924.3MB, alloc=4.6MB, time=180.38