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._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2007
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> #BEGIN OUTFILE1
> # Begin Function number 3
> display_poles := proc()
> global ALWAYS,glob_display_flag, glob_large_float, array_pole, glob_type_given_pole,array_given_rad_poles,array_given_ord_poles, array_complex_poles,array_poles,array_real_poles,array_x ;
> local rad_given;
> if (glob_type_given_pole = 4) then # if number 1
> rad_given := sqrt(expt(array_x[1] - array_given_rad_poles[1,1],2.0) + expt(array_given_rad_poles[1,2],2.0)) ;
> omniout_float(ALWAYS,"Radius of convergence (given) for eq 1 ",4, rad_given,4," ");
> omniout_float(ALWAYS,"Order of pole (given) ",4, array_given_ord_poles[1,1],4," ");
> elif
> (glob_type_given_pole = 3) then # if number 2
> omniout_str(ALWAYS,"NO POLE (given) for Equation 1");
> else
> omniout_str(ALWAYS,"NO INFO (given) for Equation 1");
> fi;# end if 2;
> if (array_poles[1,1] <> glob_large_float) then # if number 2
> omniout_float(ALWAYS,"Radius of convergence (ratio test) for eq 1 ",4, array_poles[1,1],4," ");
> omniout_str(ALWAYS,"Order of pole (ratio test) Not computed");
> else
> omniout_str(ALWAYS,"NO POLE (ratio test) for Equation 1");
> fi;# end if 2;
> if ((array_real_poles[1,1] > 0.0) and (array_real_poles[1,1] <> glob_large_float)) then # if number 2
> omniout_float(ALWAYS,"Radius of convergence (three term test) for eq 1 ",4, array_real_poles[1,1],4," ");
> omniout_float(ALWAYS,"Order of pole (three term test) ",4, array_real_poles[1,2],4," ");
> else
> omniout_str(ALWAYS,"NO REAL POLE (three term test) for Equation 1");
> fi;# end if 2;
> if ((array_complex_poles[1,1] > 0.0) and (array_complex_poles[1,1] <> glob_large_float)) then # if number 2
> omniout_float(ALWAYS,"Radius of convergence (six term test) for eq 1 ",4, array_complex_poles[1,1],4," ");
> omniout_float(ALWAYS,"Order of pole (six term test) ",4, array_complex_poles[1,2],4," ");
> else
> omniout_str(ALWAYS,"NO COMPLEX POLE (six term test) for Equation 1");
> fi;# end if 2
> ;
> end;
display_poles := proc()
local rad_given;
global ALWAYS, glob_display_flag, glob_large_float, array_pole,
glob_type_given_pole, array_given_rad_poles, array_given_ord_poles,
array_complex_poles, array_poles, array_real_poles, array_x;
if glob_type_given_pole = 4 then
rad_given := sqrt(
expt(array_x[1] - array_given_rad_poles[1, 1], 2.0)
+ expt(array_given_rad_poles[1, 2], 2.0));
omniout_float(ALWAYS,
"Radius of convergence (given) for eq 1 ", 4,
rad_given, 4, " ");
omniout_float(ALWAYS,
"Order of pole (given) ", 4,
array_given_ord_poles[1, 1], 4, " ")
elif glob_type_given_pole = 3 then
omniout_str(ALWAYS, "NO POLE (given) for Equation 1")
else omniout_str(ALWAYS, "NO INFO (given) for Equation 1")
end if;
if array_poles[1, 1] <> glob_large_float then
omniout_float(ALWAYS,
"Radius of convergence (ratio test) for eq 1 ", 4,
array_poles[1, 1], 4, " ");
omniout_str(ALWAYS, "Order of pole (ratio test) \
Not computed")
else omniout_str(ALWAYS, "NO POLE (ratio test) for Equation 1")
end if;
if 0. < array_real_poles[1, 1] and
array_real_poles[1, 1] <> glob_large_float then
omniout_float(ALWAYS,
"Radius of convergence (three term test) for eq 1 ", 4,
array_real_poles[1, 1], 4, " ");
omniout_float(ALWAYS,
"Order of pole (three term test) ", 4,
array_real_poles[1, 2], 4, " ")
else omniout_str(ALWAYS,
"NO REAL POLE (three term test) for Equation 1")
end if;
if 0. < array_complex_poles[1, 1] and
array_complex_poles[1, 1] <> glob_large_float then
omniout_float(ALWAYS,
"Radius of convergence (six term test) for eq 1 ", 4,
array_complex_poles[1, 1], 4, " ");
omniout_float(ALWAYS,
"Order of pole (six term test) ", 4,
array_complex_poles[1, 2], 4, " ")
else omniout_str(ALWAYS,
"NO COMPLEX POLE (six term test) for Equation 1")
end if
end proc
> # End Function number 3
> # Begin Function number 4
> check_sign := proc( x0 ,xf)
> local ret;
> if (xf > x0) then # if number 2
> ret := 1.0;
> else
> ret := -1.0;
> fi;# end if 2;
> 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 4
> # Begin Function number 5
> est_size_answer := proc()
> global
> glob_max_terms,
> glob_iolevel,
> glob_yes_pole,
> glob_no_pole,
> glob_not_given,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_estimated_step_error,
> 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_min_h,
> glob_type_given_pole,
> 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_1,
> array_const_0D0,
> array_const_2D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_real_pole,
> array_complex_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_type_real_pole,
> array_type_complex_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2_c1,
> array_tmp2_a1,
> array_tmp2_a2,
> array_tmp2,
> array_tmp3,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_given_rad_poles,
> array_given_ord_poles,
> array_real_poles,
> array_complex_poles,
> array_fact_2,
> glob_last;
> local min_size;
> min_size := glob_large_float;
> if (omniabs(array_y[1]) < min_size) then # if number 2
> min_size := omniabs(array_y[1]);
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 2;
> if (min_size < 1.0) then # if number 2
> min_size := 1.0;
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 2;
> min_size;
> end;
est_size_answer := proc()
local min_size;
global glob_max_terms, glob_iolevel, glob_yes_pole, glob_no_pole,
glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED,
glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error,
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_min_h, glob_type_given_pole, 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_1, array_const_0D0, array_const_2D0,
array_y_init, array_norms, array_fact_1, array_pole, array_real_pole,
array_complex_pole, array_1st_rel_error, array_last_rel_error,
array_type_pole, array_type_real_pole, array_type_complex_pole, array_y,
array_x, array_tmp0, array_tmp1_g, array_tmp1, array_tmp2_c1, array_tmp2_a1,
array_tmp2_a2, array_tmp2, array_tmp3, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_given_rad_poles, array_given_ord_poles, array_real_poles,
array_complex_poles, array_fact_2, glob_last;
min_size := glob_large_float;
if omniabs(array_y[1]) < min_size then
min_size := omniabs(array_y[1]);
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
if min_size < 1.0 then
min_size := 1.0;
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
min_size
end proc
> # End Function number 5
> # Begin Function number 6
> test_suggested_h := proc()
> global
> glob_max_terms,
> glob_iolevel,
> glob_yes_pole,
> glob_no_pole,
> glob_not_given,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_estimated_step_error,
> 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_min_h,
> glob_type_given_pole,
> 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_1,
> array_const_0D0,
> array_const_2D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_real_pole,
> array_complex_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_type_real_pole,
> array_type_complex_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2_c1,
> array_tmp2_a1,
> array_tmp2_a2,
> array_tmp2,
> array_tmp3,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_given_rad_poles,
> array_given_ord_poles,
> array_real_poles,
> array_complex_poles,
> array_fact_2,
> glob_last;
> local max_estimated_step_error,hn_div_ho,hn_div_ho_2,hn_div_ho_3,no_terms,est_tmp;
> max_estimated_step_error := 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,"");
> est_tmp := omniabs(array_y[no_terms-3] + array_y[no_terms - 2] * hn_div_ho + array_y[no_terms - 1] * hn_div_ho_2 + array_y[no_terms] * hn_div_ho_3);
> if (est_tmp >= max_estimated_step_error) then # if number 2
> max_estimated_step_error := est_tmp;
> fi;# end if 2;
> omniout_float(ALWAYS,"max_estimated_step_error",32,max_estimated_step_error,32,"");
> max_estimated_step_error;
> end;
test_suggested_h := proc()
local max_estimated_step_error, hn_div_ho, hn_div_ho_2, hn_div_ho_3,
no_terms, est_tmp;
global glob_max_terms, glob_iolevel, glob_yes_pole, glob_no_pole,
glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED,
glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error,
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_min_h, glob_type_given_pole, 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_1, array_const_0D0, array_const_2D0,
array_y_init, array_norms, array_fact_1, array_pole, array_real_pole,
array_complex_pole, array_1st_rel_error, array_last_rel_error,
array_type_pole, array_type_real_pole, array_type_complex_pole, array_y,
array_x, array_tmp0, array_tmp1_g, array_tmp1, array_tmp2_c1, array_tmp2_a1,
array_tmp2_a2, array_tmp2, array_tmp3, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_given_rad_poles, array_given_ord_poles, array_real_poles,
array_complex_poles, array_fact_2, glob_last;
max_estimated_step_error := 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, "");
est_tmp := omniabs(array_y[no_terms - 3]
+ array_y[no_terms - 2]*hn_div_ho
+ array_y[no_terms - 1]*hn_div_ho_2
+ array_y[no_terms]*hn_div_ho_3);
if max_estimated_step_error <= est_tmp then
max_estimated_step_error := est_tmp
end if;
omniout_float(ALWAYS, "max_estimated_step_error", 32,
max_estimated_step_error, 32, "");
max_estimated_step_error
end proc
> # End Function number 6
> # Begin Function number 7
> reached_interval := proc()
> global
> glob_max_terms,
> glob_iolevel,
> glob_yes_pole,
> glob_no_pole,
> glob_not_given,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_estimated_step_error,
> 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_min_h,
> glob_type_given_pole,
> 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_1,
> array_const_0D0,
> array_const_2D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_real_pole,
> array_complex_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_type_real_pole,
> array_type_complex_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2_c1,
> array_tmp2_a1,
> array_tmp2_a2,
> array_tmp2,
> array_tmp3,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_given_rad_poles,
> array_given_ord_poles,
> array_real_poles,
> array_complex_poles,
> array_fact_2,
> glob_last;
> local ret;
> if (glob_check_sign * (array_x[1]) >= glob_check_sign * glob_next_display) then # if number 2
> ret := true;
> else
> ret := false;
> fi;# end if 2;
> return(ret);
> end;
reached_interval := proc()
local ret;
global glob_max_terms, glob_iolevel, glob_yes_pole, glob_no_pole,
glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED,
glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error,
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_min_h, glob_type_given_pole, 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_1, array_const_0D0, array_const_2D0,
array_y_init, array_norms, array_fact_1, array_pole, array_real_pole,
array_complex_pole, array_1st_rel_error, array_last_rel_error,
array_type_pole, array_type_real_pole, array_type_complex_pole, array_y,
array_x, array_tmp0, array_tmp1_g, array_tmp1, array_tmp2_c1, array_tmp2_a1,
array_tmp2_a2, array_tmp2, array_tmp3, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_given_rad_poles, array_given_ord_poles, array_real_poles,
array_complex_poles, 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 7
> # Begin Function number 8
> display_alot := proc(iter)
> global
> glob_max_terms,
> glob_iolevel,
> glob_yes_pole,
> glob_no_pole,
> glob_not_given,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_estimated_step_error,
> 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_min_h,
> glob_type_given_pole,
> 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_1,
> array_const_0D0,
> array_const_2D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_real_pole,
> array_complex_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_type_real_pole,
> array_type_complex_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2_c1,
> array_tmp2_a1,
> array_tmp2_a2,
> array_tmp2,
> array_tmp3,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_given_rad_poles,
> array_given_ord_poles,
> array_real_poles,
> array_complex_poles,
> 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 2
> if (iter >= 0) then # if number 3
> ind_var := array_x[1];
> omniout_float(ALWAYS,"x[1] ",33,ind_var,20," ");
> analytic_val_y := exact_soln_y(ind_var);
> omniout_float(ALWAYS,"y[1] (analytic) ",33,analytic_val_y,20," ");
> term_no := 1;
> numeric_val := array_y[term_no];
> abserr := omniabs(numeric_val - analytic_val_y);
> omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," ");
> if (omniabs(analytic_val_y) <> 0.0) then # if number 4
> relerr := abserr*100.0/omniabs(analytic_val_y);
> if (relerr > 0.0000000000000000000000000000000001) then # if number 5
> glob_good_digits := -trunc(log10(relerr)) + 3;
> else
> glob_good_digits := Digits;
> fi;# end if 5;
> else
> relerr := -1.0 ;
> glob_good_digits := -1;
> fi;# end if 4;
> if (glob_iter = 1) then # if number 4
> array_1st_rel_error[1] := relerr;
> else
> array_last_rel_error[1] := relerr;
> fi;# end if 4;
> 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 3;
> #BOTTOM DISPLAY ALOT
> fi;# end if 2;
> end;
display_alot := proc(iter)
local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
global glob_max_terms, glob_iolevel, glob_yes_pole, glob_no_pole,
glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED,
glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error,
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_min_h, glob_type_given_pole, 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_1, array_const_0D0, array_const_2D0,
array_y_init, array_norms, array_fact_1, array_pole, array_real_pole,
array_complex_pole, array_1st_rel_error, array_last_rel_error,
array_type_pole, array_type_real_pole, array_type_complex_pole, array_y,
array_x, array_tmp0, array_tmp1_g, array_tmp1, array_tmp2_c1, array_tmp2_a1,
array_tmp2_a2, array_tmp2, array_tmp3, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_given_rad_poles, array_given_ord_poles, array_real_poles,
array_complex_poles, array_fact_2, glob_last;
if reached_interval() then
if 0 <= iter then
ind_var := array_x[1];
omniout_float(ALWAYS, "x[1] ", 33,
ind_var, 20, " ");
analytic_val_y := exact_soln_y(ind_var);
omniout_float(ALWAYS, "y[1] (analytic) ", 33,
analytic_val_y, 20, " ");
term_no := 1;
numeric_val := array_y[term_no];
abserr := omniabs(numeric_val - analytic_val_y);
omniout_float(ALWAYS, "y[1] (numeric) ", 33,
numeric_val, 20, " ");
if omniabs(analytic_val_y) <> 0. then
relerr := abserr*100.0/omniabs(analytic_val_y);
if 0.1*10^(-33) < relerr then
glob_good_digits := -trunc(log10(relerr)) + 3
else glob_good_digits := Digits
end if
else relerr := -1.0; glob_good_digits := -1
end if;
if glob_iter = 1 then array_1st_rel_error[1] := relerr
else array_last_rel_error[1] := relerr
end if;
omniout_float(ALWAYS, "absolute error ", 4,
abserr, 20, " ");
omniout_float(ALWAYS, "relative error ", 4,
relerr, 20, "%");
omniout_int(INFO, "Correct digits ", 32,
glob_good_digits, 4, " ");
omniout_float(ALWAYS, "h ", 4,
glob_h, 20, " ")
end if
end if
end proc
> # End Function number 8
> # Begin Function number 9
> adjust_for_pole := proc(h_param)
> global
> glob_max_terms,
> glob_iolevel,
> glob_yes_pole,
> glob_no_pole,
> glob_not_given,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_estimated_step_error,
> 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_min_h,
> glob_type_given_pole,
> 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_1,
> array_const_0D0,
> array_const_2D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_real_pole,
> array_complex_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_type_real_pole,
> array_type_complex_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2_c1,
> array_tmp2_a1,
> array_tmp2_a2,
> array_tmp2,
> array_tmp3,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_given_rad_poles,
> array_given_ord_poles,
> array_real_poles,
> array_complex_poles,
> array_fact_2,
> glob_last;
> local hnew, sz2, tmp;
> #TOP ADJUST FOR POLE
> hnew := h_param;
> glob_normmax := glob_small_float;
> if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 2
> tmp := omniabs(array_y_higher[1,1]);
> if (tmp < glob_normmax) then # if number 3
> glob_normmax := tmp;
> fi;# end if 3
> fi;# end if 2;
> if (glob_look_poles and (omniabs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 2
> sz2 := array_pole[1]/10.0;
> if (sz2 < hnew) then # if number 3
> omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity.");
> omniout_str(INFO,"Reached Optimal");
> return(hnew);
> fi;# end if 3
> fi;# end if 2;
> if ( not glob_reached_optimal_h) then # if number 2
> 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 2;
> 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, glob_yes_pole, glob_no_pole,
glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED,
glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error,
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_min_h, glob_type_given_pole, 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_1, array_const_0D0, array_const_2D0,
array_y_init, array_norms, array_fact_1, array_pole, array_real_pole,
array_complex_pole, array_1st_rel_error, array_last_rel_error,
array_type_pole, array_type_real_pole, array_type_complex_pole, array_y,
array_x, array_tmp0, array_tmp1_g, array_tmp1, array_tmp2_c1, array_tmp2_a1,
array_tmp2_a2, array_tmp2, array_tmp3, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_given_rad_poles, array_given_ord_poles, array_real_poles,
array_complex_poles, array_fact_2, glob_last;
hnew := h_param;
glob_normmax := glob_small_float;
if glob_small_float < omniabs(array_y_higher[1, 1]) then
tmp := omniabs(array_y_higher[1, 1]);
if tmp < glob_normmax then glob_normmax := tmp end if
end if;
if glob_look_poles and glob_small_float < omniabs(array_pole[1]) and
array_pole[1] <> glob_large_float then
sz2 := array_pole[1]/10.0;
if sz2 < hnew then
omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity.");
omniout_str(INFO, "Reached Optimal");
return hnew
end if
end if;
if not glob_reached_optimal_h then
glob_reached_optimal_h := true;
glob_curr_iter_when_opt := glob_current_iter;
glob_optimal_clock_start_sec := elapsed_time_seconds();
glob_optimal_start := array_x[1]
end if;
hnew := sz2;
return hnew
end proc
> # End Function number 9
> # Begin Function number 10
> prog_report := proc(x_start,x_end)
> global
> glob_max_terms,
> glob_iolevel,
> glob_yes_pole,
> glob_no_pole,
> glob_not_given,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_estimated_step_error,
> 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_min_h,
> glob_type_given_pole,
> 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_1,
> array_const_0D0,
> array_const_2D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_real_pole,
> array_complex_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_type_real_pole,
> array_type_complex_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2_c1,
> array_tmp2_a1,
> array_tmp2_a2,
> array_tmp2,
> array_tmp3,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_given_rad_poles,
> array_given_ord_poles,
> array_real_poles,
> array_complex_poles,
> 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 2
> 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 2;
> 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, glob_yes_pole, glob_no_pole,
glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED,
glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error,
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_min_h, glob_type_given_pole, 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_1, array_const_0D0, array_const_2D0,
array_y_init, array_norms, array_fact_1, array_pole, array_real_pole,
array_complex_pole, array_1st_rel_error, array_last_rel_error,
array_type_pole, array_type_real_pole, array_type_complex_pole, array_y,
array_x, array_tmp0, array_tmp1_g, array_tmp1, array_tmp2_c1, array_tmp2_a1,
array_tmp2_a2, array_tmp2, array_tmp3, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_given_rad_poles, array_given_ord_poles, array_real_poles,
array_complex_poles, 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 10
> # Begin Function number 11
> check_for_pole := proc()
> global
> glob_max_terms,
> glob_iolevel,
> glob_yes_pole,
> glob_no_pole,
> glob_not_given,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_estimated_step_error,
> 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_min_h,
> glob_type_given_pole,
> 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_1,
> array_const_0D0,
> array_const_2D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_real_pole,
> array_complex_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_type_real_pole,
> array_type_complex_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2_c1,
> array_tmp2_a1,
> array_tmp2_a2,
> array_tmp2,
> array_tmp3,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_given_rad_poles,
> array_given_ord_poles,
> array_real_poles,
> array_complex_poles,
> array_fact_2,
> glob_last;
> local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term, local_test, tmp_rad, tmp_ratio, prev_tmp_rad;
> #TOP CHECK FOR POLE
> array_pole[1] := glob_large_float;
> array_pole[2] := glob_large_float;
> tmp_rad := glob_large_float;
> prev_tmp_rad := glob_large_float;
> tmp_ratio := glob_large_float;
> rad_c := glob_large_float;
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> #TOP radius ratio test in Henrici1
> found_sing := 1;
> n := glob_max_terms - 1 - 10;
> cnt := 0;
> while ((cnt < 5) and (found_sing = 1)) do # do number 1
> if ((omniabs(array_y_higher[1,n]) = 0.0) or (omniabs(array_y_higher[1,n+1]) = 0.0)) then # if number 2
> found_sing := 0;
> else
> tmp_rad := omniabs(array_y_higher[1,n] * glob_h / array_y_higher[1,n + 1]);
> tmp_ratio := tmp_rad / prev_tmp_rad;
> if ((cnt > 0 ) and (tmp_ratio < 2.0) and (tmp_ratio > 0.5)) then # if number 3
> if (tmp_rad < rad_c) then # if number 4
> rad_c := tmp_rad;
> fi;# end if 4;
> elif
> (cnt = 0) then # if number 4
> if (tmp_rad < rad_c) then # if number 5
> rad_c := tmp_rad;
> fi;# end if 5;
> elif
> (cnt > 0) then # if number 5
> found_sing := 0;
> fi;# end if 5
> fi;# end if 4;
> prev_tmp_rad := tmp_rad;;
> cnt := cnt + 1;
> n := n + 1;
> od;# end do number 1;
> if (found_sing = 1) then # if number 4
> if (rad_c < array_pole[1]) then # if number 5
> array_pole[1] := rad_c;
> array_poles[1,1] := rad_c;
> fi;# end if 5;
> fi;# end if 4;
> #BOTTOM radius ratio test in Henrici1
> #IN RADII REAL EQ = 1
> #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 1
> #Applies to pole of arbitrary r_order on the real axis,
> #Due to Prof. George Corliss.
> n := glob_max_terms;
> m := n - 1 - 1;
> while ((m >= 10) and ((omniabs(array_y_higher[1,m]) = 0.0) or (omniabs(array_y_higher[1,m-1]) = 0.0) or (omniabs(array_y_higher[1,m-2]) = 0.0))) do # do number 1
> m := m - 1;
> od;# end do number 1;
> if (m > 10) then # if number 4
> rm0 := array_y_higher[1,m]/array_y_higher[1,m-1];
> rm1 := array_y_higher[1,m-1]/array_y_higher[1,m-2];
> hdrc := convfloat(m)*rm0-convfloat(m-1)*rm1;
> if (omniabs(hdrc) > 0.0) then # if number 5
> rcs := glob_h/hdrc;
> ord_no := (rm1*convfloat((m-2)*(m-2))-rm0*convfloat(m-3))/hdrc;
> array_real_poles[1,1] := rcs;
> array_real_poles[1,2] := ord_no;
> else
> array_real_poles[1,1] := glob_large_float;
> array_real_poles[1,2] := glob_large_float;
> fi;# end if 5
> else
> array_real_poles[1,1] := glob_large_float;
> array_real_poles[1,2] := glob_large_float;
> fi;# end if 4;
> #BOTTOM RADII REAL EQ = 1
> #TOP RADII COMPLEX EQ = 1
> #Computes radius of convergence for complex conjugate pair of poles.
> #from 6 adjacent Taylor series terms
> #Also computes r_order of poles.
> #Due to Manuel Prieto.
> #With a correction by Dennis J. Darland
> n := glob_max_terms - 1 - 1;
> cnt := 0;
> while ((cnt < 5) and (n >= 10)) do # do number 1
> if (omniabs(array_y_higher[1,n]) <> 0.0) then # if number 4
> cnt := cnt + 1;
> else
> cnt := 0;
> fi;# end if 4;
> n := n - 1;
> od;# end do number 1;
> m := n + cnt;
> if (m <= 10) then # if number 4
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> rm0 := (array_y_higher[1,m])/(array_y_higher[1,m-1]);
> rm1 := (array_y_higher[1,m-1])/(array_y_higher[1,m-2]);
> rm2 := (array_y_higher[1,m-2])/(array_y_higher[1,m-3]);
> rm3 := (array_y_higher[1,m-3])/(array_y_higher[1,m-4]);
> rm4 := (array_y_higher[1,m-4])/(array_y_higher[1,m-5]);
> nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2;
> nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3;
> dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
> dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
> ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
> ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
> if ((omniabs(nr1 * dr2 - nr2 * dr1) = 0.0) or (omniabs(dr1) = 0.0)) then # if number 5
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> if (omniabs(nr1*dr2 - nr2 * dr1) <> 0.0) then # if number 6
> 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) <> 0.0) then # if number 7
> if (rcs > 0.0) then # if number 8
> rad_c := sqrt(rcs) * omniabs(glob_h);
> else
> rad_c := glob_large_float;
> fi;# end if 8
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 7
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 6
> fi;# end if 5;
> array_complex_poles[1,1] := rad_c;
> array_complex_poles[1,2] := ord_no;
> fi;# end if 4;
> #BOTTOM RADII COMPLEX EQ = 1
> #START ADJUST ALL SERIES
> if (array_pole[1] * glob_ratio_of_radius < omniabs(glob_h)) then # if number 4
> h_new := array_pole[1] * glob_ratio_of_radius;
> term := 1;
> ratio := 1.0;
> while (term <= glob_max_terms) do # do number 1
> array_y[term] := array_y[term]* ratio;
> array_y_higher[1,term] := array_y_higher[1,term]* ratio;
> array_x[term] := array_x[term]* ratio;
> ratio := ratio * h_new / omniabs(glob_h);
> term := term + 1;
> od;# end do number 1;
> glob_h := h_new;
> fi;# end if 4;
> #BOTTOM ADJUST ALL SERIES
> ;
> if (reached_interval()) then # if number 4
> display_poles();
> fi;# end if 4
> end;
check_for_pole := proc()
local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs,
rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term, local_test,
tmp_rad, tmp_ratio, prev_tmp_rad;
global glob_max_terms, glob_iolevel, glob_yes_pole, glob_no_pole,
glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED,
glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error,
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_min_h, glob_type_given_pole, 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_1, array_const_0D0, array_const_2D0,
array_y_init, array_norms, array_fact_1, array_pole, array_real_pole,
array_complex_pole, array_1st_rel_error, array_last_rel_error,
array_type_pole, array_type_real_pole, array_type_complex_pole, array_y,
array_x, array_tmp0, array_tmp1_g, array_tmp1, array_tmp2_c1, array_tmp2_a1,
array_tmp2_a2, array_tmp2, array_tmp3, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_given_rad_poles, array_given_ord_poles, array_real_poles,
array_complex_poles, array_fact_2, glob_last;
array_pole[1] := glob_large_float;
array_pole[2] := glob_large_float;
tmp_rad := glob_large_float;
prev_tmp_rad := glob_large_float;
tmp_ratio := glob_large_float;
rad_c := glob_large_float;
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
found_sing := 1;
n := glob_max_terms - 11;
cnt := 0;
while cnt < 5 and found_sing = 1 do
if omniabs(array_y_higher[1, n]) = 0. or
omniabs(array_y_higher[1, n + 1]) = 0. then found_sing := 0
else
tmp_rad := omniabs(
array_y_higher[1, n]*glob_h/array_y_higher[1, n + 1]);
tmp_ratio := tmp_rad/prev_tmp_rad;
if 0 < cnt and tmp_ratio < 2.0 and 0.5 < tmp_ratio then
if tmp_rad < rad_c then rad_c := tmp_rad end if
elif cnt = 0 then
if tmp_rad < rad_c then rad_c := tmp_rad end if
elif 0 < cnt then found_sing := 0
end if
end if;
prev_tmp_rad := tmp_rad;
cnt := cnt + 1;
n := n + 1
end do;
if found_sing = 1 then
if rad_c < array_pole[1] then
array_pole[1] := rad_c; array_poles[1, 1] := rad_c
end if
end if;
n := glob_max_terms;
m := n - 2;
while 10 <= m and (omniabs(array_y_higher[1, m]) = 0. or
omniabs(array_y_higher[1, m - 1]) = 0. or
omniabs(array_y_higher[1, m - 2]) = 0.) do m := m - 1
end do;
if 10 < m then
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
hdrc := convfloat(m)*rm0 - convfloat(m - 1)*rm1;
if 0. < omniabs(hdrc) then
rcs := glob_h/hdrc;
ord_no := (
rm1*convfloat((m - 2)*(m - 2)) - rm0*convfloat(m - 3))/hdrc
;
array_real_poles[1, 1] := rcs;
array_real_poles[1, 2] := ord_no
else
array_real_poles[1, 1] := glob_large_float;
array_real_poles[1, 2] := glob_large_float
end if
else
array_real_poles[1, 1] := glob_large_float;
array_real_poles[1, 2] := glob_large_float
end if;
n := glob_max_terms - 2;
cnt := 0;
while cnt < 5 and 10 <= n do
if omniabs(array_y_higher[1, n]) <> 0. 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
else
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
rm2 := array_y_higher[1, m - 2]/array_y_higher[1, m - 3];
rm3 := array_y_higher[1, m - 3]/array_y_higher[1, m - 4];
rm4 := array_y_higher[1, m - 4]/array_y_higher[1, m - 5];
nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1
+ convfloat(m - 3)*rm2;
nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2
+ convfloat(m - 4)*rm3;
dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
if omniabs(nr1*dr2 - nr2*dr1) = 0. or omniabs(dr1) = 0. then
rad_c := glob_large_float; ord_no := glob_large_float
else
if omniabs(nr1*dr2 - nr2*dr1) <> 0. 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 omniabs(rcs) <> 0. 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_poles[1, 1] := rad_c;
array_complex_poles[1, 2] := ord_no
end if;
if array_pole[1]*glob_ratio_of_radius < omniabs(glob_h) then
h_new := array_pole[1]*glob_ratio_of_radius;
term := 1;
ratio := 1.0;
while term <= glob_max_terms do
array_y[term] := array_y[term]*ratio;
array_y_higher[1, term] := array_y_higher[1, term]*ratio;
array_x[term] := array_x[term]*ratio;
ratio := ratio*h_new/omniabs(glob_h);
term := term + 1
end do;
glob_h := h_new
end if;
if reached_interval() then display_poles() end if
end proc
> # End Function number 11
> # Begin Function number 12
> get_norms := proc()
> global
> glob_max_terms,
> glob_iolevel,
> glob_yes_pole,
> glob_no_pole,
> glob_not_given,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_estimated_step_error,
> 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_min_h,
> glob_type_given_pole,
> 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_1,
> array_const_0D0,
> array_const_2D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_real_pole,
> array_complex_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_type_real_pole,
> array_type_complex_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2_c1,
> array_tmp2_a1,
> array_tmp2_a2,
> array_tmp2,
> array_tmp3,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_given_rad_poles,
> array_given_ord_poles,
> array_real_poles,
> array_complex_poles,
> array_fact_2,
> glob_last;
> local iii;
> if ( not glob_initial_pass) then # if number 4
> iii := 1;
> while (iii <= glob_max_terms) do # do number 1
> array_norms[iii] := 0.0;
> iii := iii + 1;
> od;# end do number 1;
> #TOP GET NORMS
> iii := 1;
> while (iii <= glob_max_terms) do # do number 1
> if (omniabs(array_y[iii]) > array_norms[iii]) then # if number 5
> array_norms[iii] := omniabs(array_y[iii]);
> fi;# end if 5;
> iii := iii + 1;
> od;# end do number 1
> #BOTTOM GET NORMS
> ;
> fi;# end if 4;
> end;
get_norms := proc()
local iii;
global glob_max_terms, glob_iolevel, glob_yes_pole, glob_no_pole,
glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED,
glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error,
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_min_h, glob_type_given_pole, 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_1, array_const_0D0, array_const_2D0,
array_y_init, array_norms, array_fact_1, array_pole, array_real_pole,
array_complex_pole, array_1st_rel_error, array_last_rel_error,
array_type_pole, array_type_real_pole, array_type_complex_pole, array_y,
array_x, array_tmp0, array_tmp1_g, array_tmp1, array_tmp2_c1, array_tmp2_a1,
array_tmp2_a2, array_tmp2, array_tmp3, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_given_rad_poles, array_given_ord_poles, array_real_poles,
array_complex_poles, array_fact_2, glob_last;
if not glob_initial_pass then
iii := 1;
while iii <= glob_max_terms do
array_norms[iii] := 0.; iii := iii + 1
end do;
iii := 1;
while iii <= glob_max_terms do
if array_norms[iii] < omniabs(array_y[iii]) then
array_norms[iii] := omniabs(array_y[iii])
end if;
iii := iii + 1
end do
end if
end proc
> # End Function number 12
> # Begin Function number 13
> atomall := proc()
> global
> glob_max_terms,
> glob_iolevel,
> glob_yes_pole,
> glob_no_pole,
> glob_not_given,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_estimated_step_error,
> 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_min_h,
> glob_type_given_pole,
> 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_1,
> array_const_0D0,
> array_const_2D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_real_pole,
> array_complex_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_type_real_pole,
> array_type_complex_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2_c1,
> array_tmp2_a1,
> array_tmp2_a2,
> array_tmp2,
> array_tmp3,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_given_rad_poles,
> array_given_ord_poles,
> array_real_poles,
> array_complex_poles,
> array_fact_2,
> glob_last;
> local kkk, order_d, adj2, adj3 , temporary, term;
> #TOP ATOMALL
> #END OUTFILE1
> #BEGIN ATOMHDR1
> #emit pre sin 1 $eq_no = 1
> array_tmp1[1] := sin(array_x[1]);
> array_tmp1_g[1] := cos(array_x[1]);
> #emit pre expt CONST FULL $eq_no = 1 i = 1
> array_tmp2[1] := expt(array_const_2D0[1] , array_tmp1[1]);
> array_tmp2_c1[1] := ln(array_const_2D0[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_y_set_initial[1,2]) then # if number 1
> if (1 <= glob_max_terms) then # if number 2
> temporary := array_tmp3[1] * expt(glob_h , (1)) * factorial_3(0,1);
> array_y[2] := temporary;
> array_y_higher[1,2] := temporary;
> temporary := temporary / glob_h * (1.0);
> array_y_higher[2,1] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 2;
> #END ATOMHDR1
> #BEGIN ATOMHDR2
> #emit pre sin 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 expt CONST FULL $eq_no = 1 iii = 2
> array_tmp2[2] := att(1,array_tmp2,array_tmp1,1) * array_tmp2_c1[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_y_set_initial[1,3]) then # if number 1
> if (2 <= glob_max_terms) then # if number 2
> temporary := array_tmp3[2] * expt(glob_h , (1)) * factorial_3(1,2);
> array_y[3] := temporary;
> array_y_higher[1,3] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,2] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 3;
> #END ATOMHDR2
> #BEGIN ATOMHDR3
> #emit pre sin 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 expt CONST FULL $eq_no = 1 iii = 3
> array_tmp2[3] := att(2,array_tmp2,array_tmp1,1) * array_tmp2_c1[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_y_set_initial[1,4]) then # if number 1
> if (3 <= glob_max_terms) then # if number 2
> temporary := array_tmp3[3] * expt(glob_h , (1)) * factorial_3(2,3);
> array_y[4] := temporary;
> array_y_higher[1,4] := temporary;
> temporary := temporary / glob_h * (3.0);
> array_y_higher[2,3] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 4;
> #END ATOMHDR3
> #BEGIN ATOMHDR4
> #emit pre sin 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 expt CONST FULL $eq_no = 1 iii = 4
> array_tmp2[4] := att(3,array_tmp2,array_tmp1,1) * array_tmp2_c1[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_y_set_initial[1,5]) then # if number 1
> if (4 <= glob_max_terms) then # if number 2
> temporary := array_tmp3[4] * expt(glob_h , (1)) * factorial_3(3,4);
> array_y[5] := temporary;
> array_y_higher[1,5] := temporary;
> temporary := temporary / glob_h * (4.0);
> array_y_higher[2,4] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 5;
> #END ATOMHDR4
> #BEGIN ATOMHDR5
> #emit pre sin 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 expt CONST FULL $eq_no = 1 iii = 5
> array_tmp2[5] := att(4,array_tmp2,array_tmp1,1) * array_tmp2_c1[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_y_set_initial[1,6]) then # if number 1
> if (5 <= glob_max_terms) then # if number 2
> temporary := array_tmp3[5] * expt(glob_h , (1)) * factorial_3(4,5);
> array_y[6] := temporary;
> array_y_higher[1,6] := temporary;
> temporary := temporary / glob_h * (5.0);
> array_y_higher[2,5] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 6;
> #END ATOMHDR5
> #BEGIN OUTFILE3
> #Top Atomall While Loop-- outfile3
> while (kkk <= glob_max_terms) do # do number 1
> #END OUTFILE3
> #BEGIN OUTFILE4
> #emit sin 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 expt CONST FULL $eq_no = 1 i = 1
> array_tmp2[kkk] := att(kkk-1,array_tmp2,array_tmp1,1) * array_tmp2_c1[1];
> #emit NOT FULL - FULL add $eq_no = 1
> array_tmp3[kkk] := array_tmp2[kkk];
> #emit assign $eq_no = 1
> order_d := 1;
> if (kkk + order_d < glob_max_terms) then # if number 1
> if ( not array_y_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_y[kkk + order_d] := temporary;
> array_y_higher[1,kkk + order_d] := temporary;
> term := kkk + order_d - 1;
> adj2 := kkk + order_d - 1;
> adj3 := 2;
> while (term >= 1) do # do number 1
> 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_y_higher[adj3,term] := temporary;
> fi;# end if 3;
> term := term - 1;
> adj2 := adj2 - 1;
> adj3 := adj3 + 1;
> od;# end do number 1
> 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, glob_yes_pole, glob_no_pole,
glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED,
glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error,
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_min_h, glob_type_given_pole, 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_1, array_const_0D0, array_const_2D0,
array_y_init, array_norms, array_fact_1, array_pole, array_real_pole,
array_complex_pole, array_1st_rel_error, array_last_rel_error,
array_type_pole, array_type_real_pole, array_type_complex_pole, array_y,
array_x, array_tmp0, array_tmp1_g, array_tmp1, array_tmp2_c1, array_tmp2_a1,
array_tmp2_a2, array_tmp2, array_tmp3, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_given_rad_poles, array_given_ord_poles, array_real_poles,
array_complex_poles, array_fact_2, glob_last;
array_tmp1[1] := sin(array_x[1]);
array_tmp1_g[1] := cos(array_x[1]);
array_tmp2[1] := expt(array_const_2D0[1], array_tmp1[1]);
array_tmp2_c1[1] := ln(array_const_2D0[1]);
array_tmp3[1] := array_const_0D0[1] + array_tmp2[1];
if not array_y_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp3[1]*expt(glob_h, 1)*factorial_3(0, 1);
array_y[2] := temporary;
array_y_higher[1, 2] := temporary;
temporary := temporary*1.0/glob_h;
array_y_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] := att(1, array_tmp2, array_tmp1, 1)*array_tmp2_c1[1];
array_tmp3[2] := array_tmp2[2];
if not array_y_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp3[2]*expt(glob_h, 1)*factorial_3(1, 2);
array_y[3] := temporary;
array_y_higher[1, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 2] := temporary
end if
end if;
kkk := 3;
array_tmp1[3] := 1/2*array_tmp1_g[2]*array_x[2];
array_tmp1_g[3] := -1/2*array_tmp1[2]*array_x[2];
array_tmp2[3] := att(2, array_tmp2, array_tmp1, 1)*array_tmp2_c1[1];
array_tmp3[3] := array_tmp2[3];
if not array_y_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp3[3]*expt(glob_h, 1)*factorial_3(2, 3);
array_y[4] := temporary;
array_y_higher[1, 4] := temporary;
temporary := temporary*3.0/glob_h;
array_y_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] := att(3, array_tmp2, array_tmp1, 1)*array_tmp2_c1[1];
array_tmp3[4] := array_tmp2[4];
if not array_y_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp3[4]*expt(glob_h, 1)*factorial_3(3, 4);
array_y[5] := temporary;
array_y_higher[1, 5] := temporary;
temporary := temporary*4.0/glob_h;
array_y_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] := att(4, array_tmp2, array_tmp1, 1)*array_tmp2_c1[1];
array_tmp3[5] := array_tmp2[5];
if not array_y_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp3[5]*expt(glob_h, 1)*factorial_3(4, 5);
array_y[6] := temporary;
array_y_higher[1, 6] := temporary;
temporary := temporary*5.0/glob_h;
array_y_higher[2, 5] := temporary
end if
end if;
kkk := 6;
while kkk <= glob_max_terms do
array_tmp1[kkk] := array_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] :=
att(kkk - 1, array_tmp2, array_tmp1, 1)*array_tmp2_c1[1];
array_tmp3[kkk] := array_tmp2[kkk];
order_d := 1;
if kkk + order_d < glob_max_terms then
if not array_y_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_y[kkk + order_d] := temporary;
array_y_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_y_higher[adj3, term] := temporary
end if;
term := term - 1;
adj2 := adj2 - 1;
adj3 := adj3 + 1
end do
end if
end if;
kkk := kkk + 1
end do
end proc
> # End Function number 13
> #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
", 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
", prelabel, value, postlabel)
else printf("%-30s = %-42.32g %s
", 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
", prelabel, value, postlabel)
else printf("%-30s = %-32d %s
", 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, " |
")
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 Mi\
nutes %d Seconds
", years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then printf(" = %d Days %d Hours %d Minutes %d\
Seconds
", days_int, hours_int, minutes_int, sec_int)
elif 0 < hours_int then printf(" = %d Hours %d Minutes %d Second\
s
", hours_int, minutes_int, sec_int)
elif 0 < minutes_int then printf(" = %d Minutes %d Seconds
", minutes_int, sec_int)
else printf(" = %d Seconds
", sec_int)
end if
else printf(" Unknown
")
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,m,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_int(ALWAYS,"m",4, m ,4," ");
> 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, m, 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_int(ALWAYS, "m", 4, m, 4, " ");
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
> logditto := proc(file)
> fprintf(file,"");
> fprintf(file,"ditto");
> fprintf(file," | ");
> end;
logditto := proc(file)
fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, " | ")
end proc
> # End Function number 16
> # Begin Function number 17
> logitem_integer := proc(file,n)
> fprintf(file,"");
> fprintf(file,"%d",n);
> fprintf(file," | ");
> end;
logitem_integer := proc(file, n)
fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, " | ")
end proc
> # End Function number 17
> # Begin Function number 18
> logitem_str := proc(file,str)
> fprintf(file,"");
> fprintf(file,str);
> fprintf(file," | ");
> end;
logitem_str := proc(file, str)
fprintf(file, ""); fprintf(file, str); fprintf(file, " | ")
end proc
> # End Function number 18
> # Begin Function number 19
> logitem_good_digits := proc(file,rel_error)
> global glob_small_float;
> local good_digits;
> fprintf(file,"");
> if (rel_error <> -1.0) then # if number 6
> if (rel_error > + 0.0000000000000000000000000000000001) 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 19
> # Begin Function number 20
> log_revs := proc(file,revs)
> fprintf(file,revs);
> end;
log_revs := proc(file, revs) fprintf(file, revs) end proc
> # End Function number 20
> # Begin Function number 21
> logitem_float := proc(file,x)
> fprintf(file,"");
> fprintf(file,"%g",x);
> fprintf(file," | ");
> end;
logitem_float := proc(file, x)
fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, " | ")
end proc
> # End Function number 21
> # Begin Function number 22
> logitem_pole := proc(file,pole)
> fprintf(file,"");
> if (pole = 0) then # if number 6
> fprintf(file,"NA");
> elif
> (pole = 1) then # if number 7
> fprintf(file,"Real");
> elif
> (pole = 2) then # if number 8
> fprintf(file,"Complex");
> elif
> (pole = 4) then # if number 9
> fprintf(file,"Yes");
> else
> fprintf(file,"No");
> fi;# end if 9
> 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")
elif pole = 4 then fprintf(file, "Yes")
else fprintf(file, "No")
end if;
fprintf(file, " | ")
end proc
> # End Function number 22
> # Begin Function number 23
> logstart := proc(file)
> fprintf(file,"");
> end;
logstart := proc(file) fprintf(file, "
") end proc
> # End Function number 23
> # Begin Function number 24
> logend := proc(file)
> fprintf(file,"
\n");
> end;
logend := proc(file)
fprintf(file, "
")
end proc
> # End Function number 24
> # Begin Function number 25
> chk_data := proc()
> global glob_max_iter,ALWAYS, glob_max_terms;
> local errflag;
> errflag := false;
> if ((glob_max_terms < 15) or (glob_max_terms > 512)) then # if number 9
> omniout_str(ALWAYS,"Illegal max_terms = -- Using 30");
> glob_max_terms := 30;
> fi;# end if 9;
> if (glob_max_iter < 2) then # if number 9
> omniout_str(ALWAYS,"Illegal max_iter");
> errflag := true;
> fi;# end if 9;
> if (errflag) then # if number 9
> quit;
> fi;# end if 9
> end;
chk_data := proc()
local errflag;
global glob_max_iter, ALWAYS, glob_max_terms;
errflag := false;
if glob_max_terms < 15 or 512 < glob_max_terms then
omniout_str(ALWAYS, "Illegal max_terms = -- Using 30");
glob_max_terms := 30
end if;
if glob_max_iter < 2 then
omniout_str(ALWAYS, "Illegal max_iter"); errflag := true
end if;
if errflag then quit end if
end proc
> # End Function number 25
> # Begin Function number 26
> comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec2)
> global glob_small_float;
> local ms2, rrr, sec_left, sub1, sub2;
> ;
> ms2 := clock_sec2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub1 = 0.0) then # if number 9
> sec_left := 0.0;
> else
> if (sub2 > 0.0) then # if number 10
> rrr := (sub1/sub2);
> sec_left := rrr * ms2 - ms2;
> else
> sec_left := 0.0;
> fi;# end if 10
> fi;# end if 9;
> sec_left;
> end;
comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec2)
local ms2, rrr, sec_left, sub1, sub2;
global glob_small_float;
ms2 := clock_sec2;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if sub1 = 0. then sec_left := 0.
else
if 0. < sub2 then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2
else sec_left := 0.
end if
end if;
sec_left
end proc
> # End Function number 26
> # Begin Function number 27
> comp_percent := proc(t_end2,t_start2, t2)
> global glob_small_float;
> local rrr, sub1, sub2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub2 > glob_small_float) then # if number 9
> rrr := (100.0*sub2)/sub1;
> else
> rrr := 0.0;
> fi;# end if 9;
> rrr;
> end;
comp_percent := proc(t_end2, t_start2, t2)
local rrr, sub1, sub2;
global glob_small_float;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if glob_small_float < sub2 then rrr := 100.0*sub2/sub1
else rrr := 0.
end if;
rrr
end proc
> # End Function number 27
> # Begin Function number 28
> factorial_2 := proc(nnn)
> nnn!;
> end;
factorial_2 := proc(nnn) nnn! end proc
> # End Function number 28
> # Begin Function number 29
> factorial_1 := proc(nnn)
> global glob_max_terms,array_fact_1;
> local ret;
> if (nnn <= glob_max_terms) then # if number 9
> if (array_fact_1[nnn] = 0) then # if number 10
> ret := factorial_2(nnn);
> array_fact_1[nnn] := ret;
> else
> ret := array_fact_1[nnn];
> fi;# end if 10;
> else
> ret := factorial_2(nnn);
> fi;# end if 9;
> ret;
> end;
factorial_1 := proc(nnn)
local ret;
global glob_max_terms, array_fact_1;
if nnn <= glob_max_terms then
if array_fact_1[nnn] = 0 then
ret := factorial_2(nnn); array_fact_1[nnn] := ret
else ret := array_fact_1[nnn]
end if
else ret := factorial_2(nnn)
end if;
ret
end proc
> # End Function number 29
> # Begin Function number 30
> factorial_3 := proc(mmm,nnn)
> global glob_max_terms,array_fact_2;
> local ret;
> if ((nnn <= glob_max_terms) and (mmm <= glob_max_terms)) then # if number 9
> if (array_fact_2[mmm,nnn] = 0) then # if number 10
> ret := factorial_1(mmm)/factorial_1(nnn);
> array_fact_2[mmm,nnn] := ret;
> else
> ret := array_fact_2[mmm,nnn];
> fi;# end if 10;
> else
> ret := factorial_2(mmm)/factorial_2(nnn);
> fi;# end if 9;
> ret;
> end;
factorial_3 := proc(mmm, nnn)
local ret;
global glob_max_terms, array_fact_2;
if nnn <= glob_max_terms and mmm <= glob_max_terms then
if array_fact_2[mmm, nnn] = 0 then
ret := factorial_1(mmm)/factorial_1(nnn);
array_fact_2[mmm, nnn] := ret
else ret := array_fact_2[mmm, nnn]
end if
else ret := factorial_2(mmm)/factorial_2(nnn)
end if;
ret
end proc
> # End Function number 30
> # Begin Function number 31
> convfp := proc(mmm)
> (mmm);
> end;
convfp := proc(mmm) mmm end proc
> # End Function number 31
> # Begin Function number 32
> convfloat := proc(mmm)
> (mmm);
> end;
convfloat := proc(mmm) mmm end proc
> # End Function number 32
> # Begin Function number 33
> elapsed_time_seconds := proc()
> time();
> end;
elapsed_time_seconds := proc() time() end proc
> # End Function number 33
> # Begin Function number 34
> omniabs := proc(x)
> abs(x);
> end;
omniabs := proc(x) abs(x) end proc
> # End Function number 34
> # Begin Function number 35
> expt := proc(x,y)
> (x^y);
> end;
expt := proc(x, y) x^y end proc
> # End Function number 35
> # Begin Function number 36
> estimated_needed_step_error := proc(x_start,x_end,estimated_h,estimated_answer)
> local desired_abs_gbl_error,range,estimated_steps,step_error;
> global glob_desired_digits_correct,ALWAYS;
> omniout_float(ALWAYS,"glob_desired_digits_correct",32,glob_desired_digits_correct,32,"");
> desired_abs_gbl_error := expt(10.0, -glob_desired_digits_correct) * omniabs(estimated_answer);
> omniout_float(ALWAYS,"desired_abs_gbl_error",32,desired_abs_gbl_error,32,"");
> range := (x_end - x_start);
> omniout_float(ALWAYS,"range",32,range,32,"");
> estimated_steps := range / estimated_h;
> omniout_float(ALWAYS,"estimated_steps",32,estimated_steps,32,"");
> step_error := omniabs(desired_abs_gbl_error / estimated_steps);
> omniout_float(ALWAYS,"step_error",32,step_error,32,"");
> (step_error);;
> end;
estimated_needed_step_error := proc(
x_start, x_end, estimated_h, estimated_answer)
local desired_abs_gbl_error, range, estimated_steps, step_error;
global glob_desired_digits_correct, ALWAYS;
omniout_float(ALWAYS, "glob_desired_digits_correct", 32,
glob_desired_digits_correct, 32, "");
desired_abs_gbl_error :=
expt(10.0, -glob_desired_digits_correct)*omniabs(estimated_answer);
omniout_float(ALWAYS, "desired_abs_gbl_error", 32,
desired_abs_gbl_error, 32, "");
range := x_end - x_start;
omniout_float(ALWAYS, "range", 32, range, 32, "");
estimated_steps := range/estimated_h;
omniout_float(ALWAYS, "estimated_steps", 32, estimated_steps, 32, "");
step_error := omniabs(desired_abs_gbl_error/estimated_steps);
omniout_float(ALWAYS, "step_error", 32, step_error, 32, "");
step_error
end proc
> # End Function number 36
> #END ATS LIBRARY BLOCK
> #BEGIN USER DEF BLOCK
> #BEGIN USER DEF BLOCK
> exact_soln_y := proc(x)
> return(0.0);
> end;
exact_soln_y := proc(x) return 0. 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,estimated_step_error,min_value,est_answer,best_h,found_h,repeat_it;
> global
> glob_max_terms,
> glob_iolevel,
> glob_yes_pole,
> glob_no_pole,
> glob_not_given,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_estimated_step_error,
> 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_min_h,
> glob_type_given_pole,
> 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_1,
> array_const_0D0,
> array_const_2D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_real_pole,
> array_complex_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_type_real_pole,
> array_type_complex_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2_c1,
> array_tmp2_a1,
> array_tmp2_a2,
> array_tmp2,
> array_tmp3,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_given_rad_poles,
> array_given_ord_poles,
> array_real_poles,
> array_complex_poles,
> 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;
> glob_yes_pole := 4;
> glob_no_pole := 3;
> glob_not_given := 0;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> MAX_UNCHANGED := 10;
> glob_check_sign := 1.0;
> glob_desired_digits_correct := 8.0;
> glob_max_estimated_step_error := 0.0;
> glob_ratio_of_radius := 0.1;
> 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_min_h := 0.000001;
> glob_type_given_pole := 0;
> 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 := 0.0;
> glob_smallish_float := 0.0;
> 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 := 1;
> glob_iter := -1;
> opt_iter := -1;
> glob_max_iter := 50000;
> glob_max_hours := 0.0;
> glob_max_minutes := 15.0;
> omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################");
> omniout_str(ALWAYS,"##############temp/expt_c_sinpostode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = expt(2.0 , sin(x));");
> 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_y_init[0 + 1] := exact_soln_y(x_start);");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 1000000;");
> 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:=0.01;");
> 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_y := proc(x)");
> omniout_str(ALWAYS,"return(0.0);");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"#END USER DEF BLOCK");
> omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################");
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_small_float := 0.0;
> glob_smallish_float := 0.0;
> 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_y_init:= Array(0..(max_terms + 1),[]);
> array_norms:= Array(0..(max_terms + 1),[]);
> array_fact_1:= Array(0..(max_terms + 1),[]);
> array_pole:= Array(0..(4 + 1),[]);
> array_real_pole:= Array(0..(4 + 1),[]);
> array_complex_pole:= Array(0..(4 + 1),[]);
> array_1st_rel_error:= Array(0..(2 + 1),[]);
> array_last_rel_error:= Array(0..(2 + 1),[]);
> array_type_pole:= Array(0..(2 + 1),[]);
> array_type_real_pole:= Array(0..(2 + 1),[]);
> array_type_complex_pole:= Array(0..(2 + 1),[]);
> array_y:= Array(0..(max_terms + 1),[]);
> array_x:= 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_c1:= Array(0..(max_terms + 1),[]);
> array_tmp2_a1:= Array(0..(max_terms + 1),[]);
> array_tmp2_a2:= Array(0..(max_terms + 1),[]);
> array_tmp2:= Array(0..(max_terms + 1),[]);
> array_tmp3:= Array(0..(max_terms + 1),[]);
> array_m1:= Array(0..(max_terms + 1),[]);
> array_y_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_set_initial := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_poles := Array(0..(2+ 1) ,(0..3+ 1),[]);
> array_given_rad_poles := Array(0..(2+ 1) ,(0..3+ 1),[]);
> array_given_ord_poles := Array(0..(2+ 1) ,(0..3+ 1),[]);
> array_real_poles := Array(0..(2+ 1) ,(0..3+ 1),[]);
> array_complex_poles := 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 1
> array_y_init[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_norms[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_fact_1[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= 4) do # do number 1
> array_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= 4) do # do number 1
> array_real_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= 4) do # do number 1
> array_complex_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= 2) do # do number 1
> array_1st_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= 2) do # do number 1
> array_last_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= 2) do # do number 1
> array_type_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= 2) do # do number 1
> array_type_real_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= 2) do # do number 1
> array_type_complex_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_tmp1_g[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_tmp2_c1[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_tmp2_a1[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_tmp2_a2[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> ord := 1;
> while (ord <=2) do # do number 1
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y_higher[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := ord + 1;
> od;# end do number 1;
> ord := 1;
> while (ord <=2) do # do number 1
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y_higher_work[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := ord + 1;
> od;# end do number 1;
> ord := 1;
> while (ord <=2) do # do number 1
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y_higher_work2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := ord + 1;
> od;# end do number 1;
> ord := 1;
> while (ord <=2) do # do number 1
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y_set_initial[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := ord + 1;
> od;# end do number 1;
> ord := 1;
> while (ord <=2) do # do number 1
> term := 1;
> while (term <= 3) do # do number 2
> array_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := ord + 1;
> od;# end do number 1;
> ord := 1;
> while (ord <=2) do # do number 1
> term := 1;
> while (term <= 3) do # do number 2
> array_given_rad_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := ord + 1;
> od;# end do number 1;
> ord := 1;
> while (ord <=2) do # do number 1
> term := 1;
> while (term <= 3) do # do number 2
> array_given_ord_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := ord + 1;
> od;# end do number 1;
> ord := 1;
> while (ord <=2) do # do number 1
> term := 1;
> while (term <= 3) do # do number 2
> array_real_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := ord + 1;
> od;# end do number 1;
> ord := 1;
> while (ord <=2) do # do number 1
> term := 1;
> while (term <= 3) do # do number 2
> array_complex_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := ord + 1;
> od;# end do number 1;
> ord := 1;
> while (ord <=max_terms) do # do number 1
> term := 1;
> while (term <= max_terms) do # do number 2
> array_fact_2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := ord + 1;
> od;# end do number 1;
> #BEGIN ARRAYS DEFINED AND INITIALIZATED
> array_y := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_x := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_tmp0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_tmp1_g := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_tmp1_g[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_tmp1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_tmp2_c1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_tmp2_c1[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_tmp2_a1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_tmp2_a1[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_tmp2_a2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_tmp2_a2[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_tmp2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_tmp3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_const_1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_const_1[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_const_1[1] := 1;
> array_const_0D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_const_0D0[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_const_0D0[1] := 0.0;
> array_const_2D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_const_2D0[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_const_2D0[1] := 2.0;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 1
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_m1[1] := -1.0;
> #END ARRAYS DEFINED AND INITIALIZATED
> #Initing Factorial Tables
> iiif := 0;
> while (iiif <= glob_max_terms) do # do number 1
> jjjf := 0;
> while (jjjf <= glob_max_terms) do # do number 2
> array_fact_1[iiif] := 0;
> array_fact_2[iiif,jjjf] := 0;
> jjjf := jjjf + 1;
> od;# end do number 2;
> iiif := iiif + 1;
> od;# end do number 1;
> #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_y_init[0 + 1] := exact_soln_y(x_start);
> glob_look_poles := true;
> glob_max_iter := 1000000;
> #END SECOND INPUT BLOCK
> #BEGIN OVERRIDE BLOCK
> glob_desired_digits_correct:=10;
> glob_display_interval:=0.01;
> 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_y_set_initial[1,1] := true;
> array_y_set_initial[1,2] := false;
> array_y_set_initial[1,3] := false;
> array_y_set_initial[1,4] := false;
> array_y_set_initial[1,5] := false;
> array_y_set_initial[1,6] := false;
> array_y_set_initial[1,7] := false;
> array_y_set_initial[1,8] := false;
> array_y_set_initial[1,9] := false;
> array_y_set_initial[1,10] := false;
> array_y_set_initial[1,11] := false;
> array_y_set_initial[1,12] := false;
> array_y_set_initial[1,13] := false;
> array_y_set_initial[1,14] := false;
> array_y_set_initial[1,15] := false;
> array_y_set_initial[1,16] := false;
> array_y_set_initial[1,17] := false;
> array_y_set_initial[1,18] := false;
> array_y_set_initial[1,19] := false;
> array_y_set_initial[1,20] := false;
> array_y_set_initial[1,21] := false;
> array_y_set_initial[1,22] := false;
> array_y_set_initial[1,23] := false;
> array_y_set_initial[1,24] := false;
> array_y_set_initial[1,25] := false;
> array_y_set_initial[1,26] := false;
> array_y_set_initial[1,27] := false;
> array_y_set_initial[1,28] := false;
> array_y_set_initial[1,29] := false;
> array_y_set_initial[1,30] := false;
> #BEGIN OPTIMIZE CODE
> omniout_str(ALWAYS,"START of Optimize");
> #Start Series -- INITIALIZE FOR OPTIMIZE
> glob_check_sign := check_sign(x_start,x_end);
> glob_h := check_sign(x_start,x_end);
> found_h := false;
> glob_h := glob_min_h;
> if (glob_max_h < glob_h) then # if number 4
> glob_h := glob_max_h;
> fi;# end if 4;
> if (glob_display_interval < glob_h) then # if number 4
> glob_h := glob_display_interval;
> fi;# end if 4;
> best_h := glob_h;
> min_value := glob_large_float;
> est_answer := est_size_answer();
> opt_iter := 1;
> 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,"");
> estimated_step_error := 0.0;
> while ((opt_iter <= 100) and ( not found_h)) do # do number 1
> omniout_int(ALWAYS,"opt_iter",32,opt_iter,4,"");
> array_x[1] := x_start;
> array_x[2] := glob_h;
> glob_next_display := x_start;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 2
> array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 2;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 2
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 3
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 3;
> r_order := r_order + 1;
> od;# end do number 2
> ;
> atomall();
> estimated_step_error := test_suggested_h();
> omniout_float(ALWAYS,"estimated_step_error",32,estimated_step_error,32,"");
> if (((estimated_step_error > est_needed_step_err) and (opt_iter = 1)) or (glob_h >= glob_max_h )) then # if number 4
> found_h := true;
> glob_h := glob_max_h;
> best_h := glob_h;
> elif
> ((estimated_step_error > est_needed_step_err) and ( not found_h)) then # if number 5
> glob_h := glob_h/2.0;
> best_h := glob_h;
> found_h := true;
> else
> glob_h := glob_h*2.0;
> best_h := glob_h;
> fi;# end if 5;
> omniout_float(ALWAYS,"best_h",32,best_h,32,"");
> opt_iter := opt_iter + 1;
> od;# end do number 1;
> if (( not found_h) and (opt_iter = 1)) then # if number 5
> omniout_str(ALWAYS,"Beginning glob_h too large.");
> found_h := false;
> fi;# end if 5;
> if (opt_iter > 100) then # if number 5
> glob_h := glob_max_h;
> found_h := false;
> fi;# end if 5;
> if (glob_display_interval < glob_h) then # if number 5
> glob_h := glob_display_interval;
> fi;# end if 5;
> #END OPTIMIZE CODE
> if (glob_html_log) then # if number 5
> html_log_file := fopen("entry.html",WRITE,TEXT);
> fi;# end if 5;
> #BEGIN SOLUTION CODE
> if (found_h) then # if number 5
> omniout_str(ALWAYS,"START of Soultion");
> #Start Series -- INITIALIZE FOR SOLUTION
> array_x[1] := x_start;
> array_x[2] := glob_h;
> glob_next_display := x_start;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 1
> array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 1;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 1
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 2
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 2;
> r_order := r_order + 1;
> od;# end do number 1
> ;
> 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 1
> #left paren 0001C
> if (reached_interval()) then # if number 6
> omniout_str(INFO," ");
> omniout_str(INFO,"TOP MAIN SOLVE Loop");
> fi;# end if 6;
> glob_iter := glob_iter + 1;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := glob_current_iter + 1;
> atomall();
> 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_y;
> order_diff := 2;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =1
> #sum_and_adjust array_y
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 2
> array_y_higher_work[2,iii] := array_y_higher[2,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 2;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 2;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 2
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 2;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 2;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 2
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 2;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 2;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 2
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 2;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 2
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 2;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 2
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 2;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #END SUM AND ADJUST EQ =1
> #END PART 1
> #START PART 2 MOVE TERMS to REGULAR Array
> term_no := glob_max_terms;
> while (term_no >= 1) do # do number 2
> array_y[term_no] := array_y_higher_work2[1,term_no];
> ord := 1;
> while (ord <= order_diff) do # do number 3
> array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no];
> ord := ord + 1;
> od;# end do number 3;
> term_no := term_no - 1;
> od;# end do number 2;
> #END PART 2 HEVE MOVED TERMS to REGULAR Array
> ;
> od;# end do number 1;#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 ( y , x , 1 ) = expt(2.0 , sin(x));");
> 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,"2013-05-26T01:04:51-05:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"expt_c_sin")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = expt(2.0 , sin(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_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," 189 | ")
> ;
> logitem_str(html_log_file,"expt_c_sin diffeq.mxt")
> ;
> logitem_str(html_log_file,"expt_c_sin maple results")
> ;
> logitem_str(html_log_file,"All Tests - All Languages")
> ;
> 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, estimated_step_error, min_value, est_answer,
best_h, found_h, repeat_it;
global glob_max_terms, glob_iolevel, glob_yes_pole, glob_no_pole,
glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED,
glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error,
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_min_h, glob_type_given_pole, 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_1, array_const_0D0, array_const_2D0,
array_y_init, array_norms, array_fact_1, array_pole, array_real_pole,
array_complex_pole, array_1st_rel_error, array_last_rel_error,
array_type_pole, array_type_real_pole, array_type_complex_pole, array_y,
array_x, array_tmp0, array_tmp1_g, array_tmp1, array_tmp2_c1, array_tmp2_a1,
array_tmp2_a2, array_tmp2, array_tmp3, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_given_rad_poles, array_given_ord_poles, array_real_poles,
array_complex_poles, 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;
glob_yes_pole := 4;
glob_no_pole := 3;
glob_not_given := 0;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
MAX_UNCHANGED := 10;
glob_check_sign := 1.0;
glob_desired_digits_correct := 8.0;
glob_max_estimated_step_error := 0.;
glob_ratio_of_radius := 0.1;
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_min_h := 0.1*10^(-5);
glob_type_given_pole := 0;
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.;
glob_smallish_float := 0.;
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 := 1;
glob_iter := -1;
opt_iter := -1;
glob_max_iter := 50000;
glob_max_hours := 0.;
glob_max_minutes := 15.0;
omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################");
omniout_str(ALWAYS,
"##############temp/expt_c_sinpostode.ode#################");
omniout_str(ALWAYS, "diff ( y , x , 1 ) = expt(2.0 , sin(x));");
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_y_init[0 + 1] := exact_soln_y(x_start);");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 1000000;");
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:=0.01;");
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_y := proc(x)");
omniout_str(ALWAYS, "return(0.0);");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "#END USER DEF BLOCK");
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################");
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_small_float := 0.;
glob_smallish_float := 0.;
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_y_init := Array(0 .. max_terms + 1, []);
array_norms := Array(0 .. max_terms + 1, []);
array_fact_1 := Array(0 .. max_terms + 1, []);
array_pole := Array(0 .. 5, []);
array_real_pole := Array(0 .. 5, []);
array_complex_pole := Array(0 .. 5, []);
array_1st_rel_error := Array(0 .. 3, []);
array_last_rel_error := Array(0 .. 3, []);
array_type_pole := Array(0 .. 3, []);
array_type_real_pole := Array(0 .. 3, []);
array_type_complex_pole := Array(0 .. 3, []);
array_y := Array(0 .. max_terms + 1, []);
array_x := 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_c1 := Array(0 .. max_terms + 1, []);
array_tmp2_a1 := Array(0 .. max_terms + 1, []);
array_tmp2_a2 := Array(0 .. max_terms + 1, []);
array_tmp2 := Array(0 .. max_terms + 1, []);
array_tmp3 := Array(0 .. max_terms + 1, []);
array_m1 := Array(0 .. max_terms + 1, []);
array_y_higher := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_set_initial := Array(0 .. 3, 0 .. max_terms + 1, []);
array_poles := Array(0 .. 3, 0 .. 4, []);
array_given_rad_poles := Array(0 .. 3, 0 .. 4, []);
array_given_ord_poles := Array(0 .. 3, 0 .. 4, []);
array_real_poles := Array(0 .. 3, 0 .. 4, []);
array_complex_poles := 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_y_init[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_norms[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_fact_1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= 4 do array_pole[term] := 0.; term := term + 1 end do;
term := 1;
while term <= 4 do array_real_pole[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= 4 do array_complex_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= 2 do array_1st_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= 2 do array_last_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= 2 do array_type_pole[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= 2 do array_type_real_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= 2 do
array_type_complex_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_y[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_x[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_tmp0[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1_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_c1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2_a1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2_a2[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_m1[term] := 0.; term := term + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 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_given_rad_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_given_ord_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_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_complex_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= max_terms do
term := 1;
while term <= max_terms do
array_fact_2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
array_y := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_y[term] := 0.; term := term + 1
end do;
array_x := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1
end do;
array_tmp0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1
end do;
array_tmp1_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_c1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp2_c1[term] := 0.; term := term + 1
end do;
array_tmp2_a1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp2_a1[term] := 0.; term := term + 1
end do;
array_tmp2_a2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp2_a2[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_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1
end do;
array_const_1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1[term] := 0.; term := term + 1
end do;
array_const_1[1] := 1;
array_const_0D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D0[term] := 0.; term := term + 1
end do;
array_const_0D0[1] := 0.;
array_const_2D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_2D0[term] := 0.; term := term + 1
end do;
array_const_2D0[1] := 2.0;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
array_m1[1] := -1.0;
iiif := 0;
while iiif <= glob_max_terms do
jjjf := 0;
while jjjf <= glob_max_terms do
array_fact_1[iiif] := 0;
array_fact_2[iiif, jjjf] := 0;
jjjf := jjjf + 1
end do;
iiif := iiif + 1
end do;
x_start := 0.1;
x_end := 5.0;
array_y_init[1] := exact_soln_y(x_start);
glob_look_poles := true;
glob_max_iter := 1000000;
glob_desired_digits_correct := 10;
glob_display_interval := 0.01;
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_y_set_initial[1, 1] := true;
array_y_set_initial[1, 2] := false;
array_y_set_initial[1, 3] := false;
array_y_set_initial[1, 4] := false;
array_y_set_initial[1, 5] := false;
array_y_set_initial[1, 6] := false;
array_y_set_initial[1, 7] := false;
array_y_set_initial[1, 8] := false;
array_y_set_initial[1, 9] := false;
array_y_set_initial[1, 10] := false;
array_y_set_initial[1, 11] := false;
array_y_set_initial[1, 12] := false;
array_y_set_initial[1, 13] := false;
array_y_set_initial[1, 14] := false;
array_y_set_initial[1, 15] := false;
array_y_set_initial[1, 16] := false;
array_y_set_initial[1, 17] := false;
array_y_set_initial[1, 18] := false;
array_y_set_initial[1, 19] := false;
array_y_set_initial[1, 20] := false;
array_y_set_initial[1, 21] := false;
array_y_set_initial[1, 22] := false;
array_y_set_initial[1, 23] := false;
array_y_set_initial[1, 24] := false;
array_y_set_initial[1, 25] := false;
array_y_set_initial[1, 26] := false;
array_y_set_initial[1, 27] := false;
array_y_set_initial[1, 28] := false;
array_y_set_initial[1, 29] := false;
array_y_set_initial[1, 30] := false;
omniout_str(ALWAYS, "START of Optimize");
glob_check_sign := check_sign(x_start, x_end);
glob_h := check_sign(x_start, x_end);
found_h := false;
glob_h := glob_min_h;
if glob_max_h < glob_h then glob_h := glob_max_h end if;
if glob_display_interval < glob_h then glob_h := glob_display_interval
end if;
best_h := glob_h;
min_value := glob_large_float;
est_answer := est_size_answer();
opt_iter := 1;
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, "");
estimated_step_error := 0.;
while opt_iter <= 100 and not found_h do
omniout_int(ALWAYS, "opt_iter", 32, opt_iter, 4, "");
array_x[1] := x_start;
array_x[2] := glob_h;
glob_next_display := x_start;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
atomall();
estimated_step_error := test_suggested_h();
omniout_float(ALWAYS, "estimated_step_error", 32,
estimated_step_error, 32, "");
if est_needed_step_err < estimated_step_error and opt_iter = 1 or
glob_max_h <= glob_h then
found_h := true; glob_h := glob_max_h; best_h := glob_h
elif est_needed_step_err < estimated_step_error and not found_h
then glob_h := glob_h/2.0; best_h := glob_h; found_h := true
else glob_h := glob_h*2.0; best_h := glob_h
end if;
omniout_float(ALWAYS, "best_h", 32, best_h, 32, "");
opt_iter := opt_iter + 1
end do;
if not found_h and opt_iter = 1 then
omniout_str(ALWAYS, "Beginning glob_h too large.");
found_h := false
end if;
if 100 < opt_iter then glob_h := glob_max_h; found_h := false end if;
if glob_display_interval < glob_h then glob_h := glob_display_interval
end if;
if glob_html_log then html_log_file := fopen("entry.html", WRITE, TEXT)
end if;
if found_h then
omniout_str(ALWAYS, "START of Soultion");
array_x[1] := x_start;
array_x[2] := glob_h;
glob_next_display := x_start;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
current_iter := 1;
glob_clock_start_sec := elapsed_time_seconds();
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := 0;
glob_iter := 0;
omniout_str(DEBUGL, " ");
glob_reached_optimal_h := true;
glob_optimal_clock_start_sec := elapsed_time_seconds();
while glob_current_iter < glob_max_iter and
glob_check_sign*array_x[1] < glob_check_sign*x_end and
convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
convfloat(glob_max_sec) do
if reached_interval() then
omniout_str(INFO, " ");
omniout_str(INFO, "TOP MAIN SOLVE Loop")
end if;
glob_iter := glob_iter + 1;
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := glob_current_iter + 1;
atomall();
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 := 2;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[2, iii] := array_y_higher[2, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
term_no := glob_max_terms;
while 1 <= term_no do
array_y[term_no] := array_y_higher_work2[1, term_no];
ord := 1;
while ord <= order_diff do
array_y_higher[ord, term_no] :=
array_y_higher_work2[ord, term_no];
ord := ord + 1
end do;
term_no := term_no - 1
end do
end do;
omniout_str(ALWAYS, "Finished!");
if glob_max_iter <= glob_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!")
end if;
if convfloat(glob_max_sec) <=
elapsed_time_seconds() - convfloat(glob_orig_start_sec) then
omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!")
end if;
glob_clock_sec := elapsed_time_seconds();
omniout_str(INFO, "diff ( y , x , 1 ) = expt(2.0 , sin(x));");
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, "2013-05-26T01:04:51-05:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file,
"expt_c_sin");
logitem_str(html_log_file,
"diff ( y , x , 1 ) = expt(2.0 , sin(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_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, " 189 | ");
logitem_str(html_log_file, "expt_c_sin diffeq.mxt");
logitem_str(html_log_file, "expt_c_sin maple results");
logitem_str(html_log_file, "All Tests - All Languages");
logend(html_log_file)
end if;
if glob_html_log then fclose(html_log_file) end if
end if
end proc
> # End Function number 13
> main();
##############ECHO OF PROBLEM#################
##############temp/expt_c_sinpostode.ode#################
diff ( y , x , 1 ) = expt(2.0 , sin(x));
!
#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_y_init[0 + 1] := exact_soln_y(x_start);
glob_look_poles := true;
glob_max_iter := 1000000;
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE BLOCK
glob_desired_digits_correct:=10;
glob_display_interval:=0.01;
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_y := proc(x)
return(0.0);
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Optimize
min_size = 0
min_size = 1
glob_desired_digits_correct = 10
desired_abs_gbl_error = 1.0000000000000000000000000000000e-10
range = 4.9
estimated_steps = 4900000
step_error = 2.0408163265306122448979591836735e-17
est_needed_step_err = 2.0408163265306122448979591836735e-17
opt_iter = 1
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 4.1269455714853000805698435866335e-169
estimated_step_error = 4.1269455714853000805698435866335e-169
best_h = 2.0e-06
opt_iter = 2
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 2.7695466038030006895267952433587e-161
estimated_step_error = 2.7695466038030006895267952433587e-161
best_h = 4.00e-06
opt_iter = 3
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 1.8586116837043160278490669494324e-153
estimated_step_error = 1.8586116837043160278490669494324e-153
best_h = 8.000e-06
opt_iter = 4
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 1.2472937507409551553632910838446e-145
estimated_step_error = 1.2472937507409551553632910838446e-145
best_h = 1.60000e-05
opt_iter = 5
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 8.3704542336354567594747987420092e-138
estimated_step_error = 8.3704542336354567594747987420092e-138
best_h = 3.200000e-05
opt_iter = 6
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 5.6173269013607545935041299714506e-130
estimated_step_error = 5.6173269013607545935041299714506e-130
best_h = 6.4000000e-05
opt_iter = 7
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 3.7697378984500973614110672514691e-122
estimated_step_error = 3.7697378984500973614110672514691e-122
best_h = 0.000128
opt_iter = 8
bytes used=4000144, alloc=3014104, time=0.12
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 2.5298465701791319404568540706431e-114
estimated_step_error = 2.5298465701791319404568540706431e-114
best_h = 0.000256
opt_iter = 9
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 1.6977758432309451554643385621262e-106
estimated_step_error = 1.6977758432309451554643385621262e-106
best_h = 0.000512
opt_iter = 10
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 1.1393910297746123342527363703039e-98
estimated_step_error = 1.1393910297746123342527363703039e-98
best_h = 0.001024
opt_iter = 11
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 7.6467659599671989007440042537553e-91
estimated_step_error = 7.6467659599671989007440042537553e-91
best_h = 0.002048
opt_iter = 12
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 5.1322511955953270537806687962301e-83
estimated_step_error = 5.1322511955953270537806687962301e-83
best_h = 0.004096
opt_iter = 13
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 3.4449917565129474141564313896987e-75
estimated_step_error = 3.4449917565129474141564313896987e-75
best_h = 0.008192
opt_iter = 14
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 2.3129630390587238467937410638897e-67
estimated_step_error = 2.3129630390587238467937410638897e-67
best_h = 0.016384
opt_iter = 15
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 1.5536354806751869557178905024704e-59
estimated_step_error = 1.5536354806751869557178905024704e-59
best_h = 0.032768
opt_iter = 16
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 1.0445455449332762425959148345968e-51
estimated_step_error = 1.0445455449332762425959148345968e-51
best_h = 0.065536
opt_iter = 17
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 7.0354697906244649135660234515283e-44
estimated_step_error = 7.0354697906244649135660234515283e-44
best_h = 0.131072
opt_iter = 18
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 4.7555589349489694894096785146032e-36
estimated_step_error = 4.7555589349489694894096785146032e-36
best_h = 0.1
START of Soultion
TOP MAIN SOLVE Loop
x[1] = 0.1
y[1] (analytic) = 0
y[1] (numeric) = 0
absolute error = 0
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.01307
Order of pole (three term test) = -23.04
Radius of convergence (six term test) for eq 1 = 4.306
Order of pole (six term test) = 8.008
TOP MAIN SOLVE Loop
x[1] = 0.11
y[1] (analytic) = 0
y[1] (numeric) = 0.010753524526431980387867519132301
absolute error = 0.010753524526431980387867519132301
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.003997
Order of pole (three term test) = -24.49
Radius of convergence (six term test) for eq 1 = 4.305
Order of pole (six term test) = 8.021
bytes used=8001600, alloc=4128012, time=0.25
TOP MAIN SOLVE Loop
x[1] = 0.12
y[1] (analytic) = 0
y[1] (numeric) = 0.021581391439193028270121777196319
absolute error = 0.021581391439193028270121777196319
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.304
Order of pole (six term test) = 8.037
TOP MAIN SOLVE Loop
x[1] = 0.13
y[1] (analytic) = 0
y[1] (numeric) = 0.032484027970719728754058126533753
absolute error = 0.032484027970719728754058126533753
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.303
Order of pole (six term test) = 8.056
TOP MAIN SOLVE Loop
x[1] = 0.14
y[1] (analytic) = 0
y[1] (numeric) = 0.043461855555703909339628618490018
absolute error = 0.043461855555703909339628618490018
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.303
Order of pole (six term test) = 8.078
TOP MAIN SOLVE Loop
x[1] = 0.15
y[1] (analytic) = 0
y[1] (numeric) = 0.054515289634352069503208905226703
absolute error = 0.054515289634352069503208905226703
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.303
Order of pole (six term test) = 8.102
TOP MAIN SOLVE Loop
x[1] = 0.16
y[1] (analytic) = 0
y[1] (numeric) = 0.06564473945379868264129726827504
absolute error = 0.06564473945379868264129726827504
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.303
Order of pole (six term test) = 8.13
TOP MAIN SOLVE Loop
x[1] = 0.17
y[1] (analytic) = 0
y[1] (numeric) = 0.076850607867740779633747955571865
absolute error = 0.076850607867740779633747955571865
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.304
Order of pole (six term test) = 8.159
TOP MAIN SOLVE Loop
x[1] = 0.18
y[1] (analytic) = 0
y[1] (numeric) = 0.088133291134364037234927740847438
absolute error = 0.088133291134364037234927740847438
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.304
Order of pole (six term test) = 8.191
TOP MAIN SOLVE Loop
x[1] = 0.19
y[1] (analytic) = 0
y[1] (numeric) = 0.099493178712633421454579432318481
absolute error = 0.099493178712633421454579432318481
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.305
Order of pole (six term test) = 8.224
TOP MAIN SOLVE Loop
x[1] = 0.2
y[1] (analytic) = 0
y[1] (numeric) = 0.11093065305702427342853647511501
absolute error = 0.11093065305702427342853647511501
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.306
Order of pole (six term test) = 8.258
TOP MAIN SOLVE Loop
x[1] = 0.21
y[1] (analytic) = 0
y[1] (numeric) = 0.12244608941077257029329434886889
absolute error = 0.12244608941077257029329434886889
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.308
Order of pole (six term test) = 8.293
TOP MAIN SOLVE Loop
x[1] = 0.22
y[1] (analytic) = 0
y[1] (numeric) = 0.13403985559772594346971649734227
absolute error = 0.13403985559772594346971649734227
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.309
Order of pole (six term test) = 8.328
TOP MAIN SOLVE Loop
bytes used=12002660, alloc=4390108, time=0.39
x[1] = 0.23
y[1] (analytic) = 0
y[1] (numeric) = 0.14571231181287988864450236581273
absolute error = 0.14571231181287988864450236581273
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.31
Order of pole (six term test) = 8.363
TOP MAIN SOLVE Loop
x[1] = 0.24
y[1] (analytic) = 0
y[1] (numeric) = 0.15746381041168645264247436855312
absolute error = 0.15746381041168645264247436855312
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.311
Order of pole (six term test) = 8.397
TOP MAIN SOLVE Loop
x[1] = 0.25
y[1] (analytic) = 0
y[1] (numeric) = 0.16929469569822552925335698609622
absolute error = 0.16929469569822552925335698609622
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.312
Order of pole (six term test) = 8.43
TOP MAIN SOLVE Loop
x[1] = 0.26
y[1] (analytic) = 0
y[1] (numeric) = 0.18120530371233173577670905517146
absolute error = 0.18120530371233173577670905517146
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.313
Order of pole (six term test) = 8.461
TOP MAIN SOLVE Loop
x[1] = 0.27
y[1] (analytic) = 0
y[1] (numeric) = 0.19319596201577267136146264320026
absolute error = 0.19319596201577267136146264320026
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.314
Order of pole (six term test) = 8.491
TOP MAIN SOLVE Loop
x[1] = 0.28
y[1] (analytic) = 0
y[1] (numeric) = 0.20526698947757717384817623222064
absolute error = 0.20526698947757717384817623222064
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.315
Order of pole (six term test) = 8.518
TOP MAIN SOLVE Loop
x[1] = 0.29
y[1] (analytic) = 0
y[1] (numeric) = 0.21741869605861499040389034495976
absolute error = 0.21741869605861499040389034495976
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.315
Order of pole (six term test) = 8.542
TOP MAIN SOLVE Loop
x[1] = 0.3
y[1] (analytic) = 0
y[1] (numeric) = 0.22965138259553205533064056867426
absolute error = 0.22965138259553205533064056867426
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.315
Order of pole (six term test) = 8.564
TOP MAIN SOLVE Loop
x[1] = 0.31
y[1] (analytic) = 0
y[1] (numeric) = 0.24196534058414832251949160262785
absolute error = 0.24196534058414832251949160262785
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.314
Order of pole (six term test) = 8.582
TOP MAIN SOLVE Loop
x[1] = 0.32
y[1] (analytic) = 0
y[1] (numeric) = 0.25436085196242782653686581579058
absolute error = 0.25436085196242782653686581579058
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.314
Order of pole (six term test) = 8.597
TOP MAIN SOLVE Loop
x[1] = 0.33
y[1] (analytic) = 0
y[1] (numeric) = 0.26683818889313334163103339978252
absolute error = 0.26683818889313334163103339978252
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.312
Order of pole (six term test) = 8.608
TOP MAIN SOLVE Loop
bytes used=16003472, alloc=4455632, time=0.53
x[1] = 0.34
y[1] (analytic) = 0
y[1] (numeric) = 0.27939761354628066833724408897564
absolute error = 0.27939761354628066833724408897564
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.311
Order of pole (six term test) = 8.616
TOP MAIN SOLVE Loop
x[1] = 0.35
y[1] (analytic) = 0
y[1] (numeric) = 0.29203937788151019908854102311535
absolute error = 0.29203937788151019908854102311535
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.309
Order of pole (six term test) = 8.621
TOP MAIN SOLVE Loop
x[1] = 0.36
y[1] (analytic) = 0
y[1] (numeric) = 0.30476372343049599350337599265622
absolute error = 0.30476372343049599350337599265622
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.307
Order of pole (six term test) = 8.622
TOP MAIN SOLVE Loop
x[1] = 0.37
y[1] (analytic) = 0
y[1] (numeric) = 0.31757088107951512697171109863844
absolute error = 0.31757088107951512697171109863844
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.305
Order of pole (six term test) = 8.62
TOP MAIN SOLVE Loop
x[1] = 0.38
y[1] (analytic) = 0
y[1] (numeric) = 0.33046107085230255890717522579511
absolute error = 0.33046107085230255890717522579511
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.005867
Order of pole (three term test) = -0.9475
Radius of convergence (six term test) for eq 1 = 4.302
Order of pole (six term test) = 8.615
TOP MAIN SOLVE Loop
x[1] = 0.39
y[1] (analytic) = 0
y[1] (numeric) = 0.34343450169331919564540259884207
absolute error = 0.34343450169331919564540259884207
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0149
Order of pole (three term test) = -1.266
Radius of convergence (six term test) for eq 1 = 4.299
Order of pole (six term test) = 8.608
TOP MAIN SOLVE Loop
x[1] = 0.4
y[1] (analytic) = 0
y[1] (numeric) = 0.35649137125156319348666705851444
absolute error = 0.35649137125156319348666705851444
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02319
Order of pole (three term test) = -1.864
Radius of convergence (six term test) for eq 1 = 4.296
Order of pole (six term test) = 8.598
TOP MAIN SOLVE Loop
x[1] = 0.41
y[1] (analytic) = 0
y[1] (numeric) = 0.36963186566505685581554918213996
absolute error = 0.36963186566505685581554918213996
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03057
Order of pole (three term test) = -2.727
Radius of convergence (six term test) for eq 1 = 4.293
Order of pole (six term test) = 8.587
TOP MAIN SOLVE Loop
x[1] = 0.42
y[1] (analytic) = 0
y[1] (numeric) = 0.38285615934614372057055777201818
absolute error = 0.38285615934614372057055777201818
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03689
Order of pole (three term test) = -3.839
Radius of convergence (six term test) for eq 1 = 4.289
Order of pole (six term test) = 8.575
TOP MAIN SOLVE Loop
x[1] = 0.43
y[1] (analytic) = 0
y[1] (numeric) = 0.39616441476773260655445538032726
absolute error = 0.39616441476773260655445538032726
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04202
Order of pole (three term test) = -5.176
Radius of convergence (six term test) for eq 1 = 4.286
Order of pole (six term test) = 8.561
TOP MAIN SOLVE Loop
x[1] = 0.44
y[1] (analytic) = 0
y[1] (numeric) = 0.40955678225062748513237940328886
absolute error = 0.40955678225062748513237940328886
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04583
Order of pole (three term test) = -6.708
Radius of convergence (six term test) for eq 1 = 4.282
Order of pole (six term test) = 8.548
TOP MAIN SOLVE Loop
x[1] = 0.45
bytes used=20005304, alloc=4521156, time=0.66
y[1] (analytic) = 0
y[1] (numeric) = 0.42303339975208406371516852862314
absolute error = 0.42303339975208406371516852862314
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04825
Order of pole (three term test) = -8.404
Radius of convergence (six term test) for eq 1 = 4.278
Order of pole (six term test) = 8.534
TOP MAIN SOLVE Loop
x[1] = 0.46
y[1] (analytic) = 0
y[1] (numeric) = 0.43659439265573590502563106513004
absolute error = 0.43659439265573590502563106513004
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04922
Order of pole (three term test) = -10.23
Radius of convergence (six term test) for eq 1 = 4.275
Order of pole (six term test) = 8.522
TOP MAIN SOLVE Loop
x[1] = 0.47
y[1] (analytic) = 0
y[1] (numeric) = 0.4502398735630347574585695116376
absolute error = 0.4502398735630347574585695116376
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0487
Order of pole (three term test) = -12.13
Radius of convergence (six term test) for eq 1 = 4.272
Order of pole (six term test) = 8.51
TOP MAIN SOLVE Loop
x[1] = 0.48
y[1] (analytic) = 0
y[1] (numeric) = 0.46396994208635153284695561371331
absolute error = 0.46396994208635153284695561371331
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04672
Order of pole (three term test) = -14.08
Radius of convergence (six term test) for eq 1 = 4.269
Order of pole (six term test) = 8.5
TOP MAIN SOLVE Loop
x[1] = 0.49
y[1] (analytic) = 0
y[1] (numeric) = 0.47778468464388603463193822038849
absolute error = 0.47778468464388603463193822038849
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04329
Order of pole (three term test) = -16.02
Radius of convergence (six term test) for eq 1 = 4.266
Order of pole (six term test) = 8.493
TOP MAIN SOLVE Loop
x[1] = 0.5
y[1] (analytic) = 0
y[1] (numeric) = 0.49168417425653510782461071394079
absolute error = 0.49168417425653510782461071394079
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03851
Order of pole (three term test) = -17.92
Radius of convergence (six term test) for eq 1 = 4.263
Order of pole (six term test) = 8.487
TOP MAIN SOLVE Loop
x[1] = 0.51
y[1] (analytic) = 0
y[1] (numeric) = 0.50566847034687034829667404371002
absolute error = 0.50566847034687034829667404371002
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03246
Order of pole (three term test) = -19.72
Radius of convergence (six term test) for eq 1 = 4.261
Order of pole (six term test) = 8.485
TOP MAIN SOLVE Loop
x[1] = 0.52
y[1] (analytic) = 0
y[1] (numeric) = 0.51973761854037786893891343912268
absolute error = 0.51973761854037786893891343912268
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02529
Order of pole (three term test) = -21.38
Radius of convergence (six term test) for eq 1 = 4.259
Order of pole (six term test) = 8.486
TOP MAIN SOLVE Loop
x[1] = 0.53
y[1] (analytic) = 0
y[1] (numeric) = 0.5338916504691138702209197672488
absolute error = 0.5338916504691138702209197672488
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.01715
Order of pole (three term test) = -22.87
Radius of convergence (six term test) for eq 1 = 4.257
Order of pole (six term test) = 8.49
TOP MAIN SOLVE Loop
x[1] = 0.54
y[1] (analytic) = 0
y[1] (numeric) = 0.54813058357793089886648908719111
absolute error = 0.54813058357793089886648908719111
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.008247
Order of pole (three term test) = -24.13
Radius of convergence (six term test) for eq 1 = 4.256
Order of pole (six term test) = 8.497
TOP MAIN SOLVE Loop
x[1] = 0.55
y[1] (analytic) = 0
y[1] (numeric) = 0.5624544209334306969811254737423
absolute error = 0.5624544209334306969811254737423
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.256
Order of pole (six term test) = 8.508
TOP MAIN SOLVE Loop
x[1] = 0.56
y[1] (analytic) = 0
y[1] (numeric) = 0.57686315103580044135350883700701
absolute error = 0.57686315103580044135350883700701
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.255
Order of pole (six term test) = 8.522
TOP MAIN SOLVE Loop
bytes used=24006560, alloc=4521156, time=0.81
x[1] = 0.57
y[1] (analytic) = 0
y[1] (numeric) = 0.59135674763368994519936558552384
absolute error = 0.59135674763368994519936558552384
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.255
Order of pole (six term test) = 8.54
TOP MAIN SOLVE Loop
x[1] = 0.58
y[1] (analytic) = 0
y[1] (numeric) = 0.60593516954228803880416089690187
absolute error = 0.60593516954228803880416089690187
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.255
Order of pole (six term test) = 8.561
TOP MAIN SOLVE Loop
x[1] = 0.59
y[1] (analytic) = 0
y[1] (numeric) = 0.62059836046475685792062459794025
absolute error = 0.62059836046475685792062459794025
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.256
Order of pole (six term test) = 8.585
TOP MAIN SOLVE Loop
x[1] = 0.6
y[1] (analytic) = 0
y[1] (numeric) = 0.63534624881718314605587365661195
absolute error = 0.63534624881718314605587365661195
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.257
Order of pole (six term test) = 8.612
TOP MAIN SOLVE Loop
x[1] = 0.61
y[1] (analytic) = 0
y[1] (numeric) = 0.65017874755720591571309239551369
absolute error = 0.65017874755720591571309239551369
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.258
Order of pole (six term test) = 8.64
TOP MAIN SOLVE Loop
x[1] = 0.62
y[1] (analytic) = 0
y[1] (numeric) = 0.66509575401647991111881160024312
absolute error = 0.66509575401647991111881160024312
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.26
Order of pole (six term test) = 8.671
TOP MAIN SOLVE Loop
x[1] = 0.63
y[1] (analytic) = 0
y[1] (numeric) = 0.68009714973713426797275225021232
absolute error = 0.68009714973713426797275225021232
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.261
Order of pole (six term test) = 8.703
TOP MAIN SOLVE Loop
x[1] = 0.64
y[1] (analytic) = 0
y[1] (numeric) = 0.69518280031238557143380622332963
absolute error = 0.69518280031238557143380622332963
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.263
Order of pole (six term test) = 8.736
TOP MAIN SOLVE Loop
x[1] = 0.65
y[1] (analytic) = 0
y[1] (numeric) = 0.71035255523146416916802447540884
absolute error = 0.71035255523146416916802447540884
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.265
Order of pole (six term test) = 8.769
TOP MAIN SOLVE Loop
x[1] = 0.66
y[1] (analytic) = 0
y[1] (numeric) = 0.72560624772901209923888448843834
absolute error = 0.72560624772901209923888448843834
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.266
Order of pole (six term test) = 8.803
TOP MAIN SOLVE Loop
x[1] = 0.67
y[1] (analytic) = 0
y[1] (numeric) = 0.74094369463911034047157447247121
absolute error = 0.74094369463911034047157447247121
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.268
Order of pole (six term test) = 8.835
TOP MAIN SOLVE Loop
bytes used=28007232, alloc=4521156, time=0.96
x[1] = 0.68
y[1] (analytic) = 0
y[1] (numeric) = 0.75636469625409228338212094310892
absolute error = 0.75636469625409228338212094310892
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.27
Order of pole (six term test) = 8.866
TOP MAIN SOLVE Loop
x[1] = 0.69
y[1] (analytic) = 0
y[1] (numeric) = 0.77186903618829935070198788609364
absolute error = 0.77186903618829935070198788609364
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.271
Order of pole (six term test) = 8.896
TOP MAIN SOLVE Loop
x[1] = 0.7
y[1] (analytic) = 0
y[1] (numeric) = 0.78745648124693356599170804524214
absolute error = 0.78745648124693356599170804524214
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.272
Order of pole (six term test) = 8.923
TOP MAIN SOLVE Loop
x[1] = 0.71
y[1] (analytic) = 0
y[1] (numeric) = 0.80312678130016057504156701608922
absolute error = 0.80312678130016057504156701608922
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.273
Order of pole (six term test) = 8.947
TOP MAIN SOLVE Loop
x[1] = 0.72
y[1] (analytic) = 0
y[1] (numeric) = 0.81887966916261516610420738961155
absolute error = 0.81887966916261516610420738961155
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.274
Order of pole (six term test) = 8.969
TOP MAIN SOLVE Loop
x[1] = 0.73
y[1] (analytic) = 0
y[1] (numeric) = 0.83471486047845971008287209561067
absolute error = 0.83471486047845971008287209561067
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.274
Order of pole (six term test) = 8.987
TOP MAIN SOLVE Loop
x[1] = 0.74
y[1] (analytic) = 0
y[1] (numeric) = 0.8506320536121441493943405012952
absolute error = 0.8506320536121441493943405012952
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.274
Order of pole (six term test) = 9.002
TOP MAIN SOLVE Loop
x[1] = 0.75
y[1] (analytic) = 0
y[1] (numeric) = 0.8666309295450142033226430932477
absolute error = 0.8666309295450142033226430932477
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.273
Order of pole (six term test) = 9.013
TOP MAIN SOLVE Loop
x[1] = 0.76
y[1] (analytic) = 0
y[1] (numeric) = 0.88271115177791232746996945216955
absolute error = 0.88271115177791232746996945216955
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.273
Order of pole (six term test) = 9.02
TOP MAIN SOLVE Loop
x[1] = 0.77
y[1] (analytic) = 0
y[1] (numeric) = 0.89887236623991366479818544905182
absolute error = 0.89887236623991366479818544905182
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.272
Order of pole (six term test) = 9.023
TOP MAIN SOLVE Loop
x[1] = 0.78
y[1] (analytic) = 0
y[1] (numeric) = 0.91511420120333675535832736894442
absolute error = 0.91511420120333675535832736894442
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.27
Order of pole (six term test) = 9.023
TOP MAIN SOLVE Loop
x[1] = 0.79
y[1] (analytic) = 0
y[1] (numeric) = 0.93143626720516613096836479708012
absolute error = 0.93143626720516613096836479708012
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.006221
Order of pole (three term test) = -0.956
Radius of convergence (six term test) for eq 1 = 4.268
Order of pole (six term test) = 9.019
TOP MAIN SOLVE Loop
bytes used=32008340, alloc=4586680, time=1.11
x[1] = 0.8
y[1] (analytic) = 0
y[1] (numeric) = 0.94783815697502110988972658229438
absolute error = 0.94783815697502110988972658229438
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.01538
Order of pole (three term test) = -1.296
Radius of convergence (six term test) for eq 1 = 4.266
Order of pole (six term test) = 9.012
TOP MAIN SOLVE Loop
x[1] = 0.81
y[1] (analytic) = 0
y[1] (numeric) = 0.96431944536980212526937973138404
absolute error = 0.96431944536980212526937973138404
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02389
Order of pole (three term test) = -1.924
Radius of convergence (six term test) for eq 1 = 4.264
Order of pole (six term test) = 9.002
TOP MAIN SOLVE Loop
x[1] = 0.82
y[1] (analytic) = 0
y[1] (numeric) = 0.98087968931514277028985615427915
absolute error = 0.98087968931514277028985615427915
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03158
Order of pole (three term test) = -2.825
Radius of convergence (six term test) for eq 1 = 4.261
Order of pole (six term test) = 8.989
TOP MAIN SOLVE Loop
x[1] = 0.83
y[1] (analytic) = 0
y[1] (numeric) = 0.99751842775379242337570174301392
absolute error = 0.99751842775379242337570174301392
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03827
Order of pole (three term test) = -3.978
Radius of convergence (six term test) for eq 1 = 4.258
Order of pole (six term test) = 8.975
TOP MAIN SOLVE Loop
x[1] = 0.84
y[1] (analytic) = 0
y[1] (numeric) = 1.0142351816010508294536758232552
absolute error = 1.0142351816010508294536758232552
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04381
Order of pole (three term test) = -5.358
Radius of convergence (six term test) for eq 1 = 4.255
Order of pole (six term test) = 8.958
TOP MAIN SOLVE Loop
x[1] = 0.85
y[1] (analytic) = 0
y[1] (numeric) = 1.0310294537073723594119020347971
absolute error = 1.0310294537073723594119020347971
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04805
Order of pole (three term test) = -6.933
Radius of convergence (six term test) for eq 1 = 4.252
Order of pole (six term test) = 8.941
TOP MAIN SOLVE Loop
x[1] = 0.86
y[1] (analytic) = 0
y[1] (numeric) = 1.0479007288282538510526791957778
absolute error = 1.0479007288282538510526791957778
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05091
Order of pole (three term test) = -8.665
Radius of convergence (six term test) for eq 1 = 4.249
Order of pole (six term test) = 8.923
TOP MAIN SOLVE Loop
x[1] = 0.87
y[1] (analytic) = 0
y[1] (numeric) = 1.0648484736015159527358102884836
absolute error = 1.0648484736015159527358102884836
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0523
Order of pole (three term test) = -10.51
Radius of convergence (six term test) for eq 1 = 4.245
Order of pole (six term test) = 8.905
TOP MAIN SOLVE Loop
x[1] = 0.88
y[1] (analytic) = 0
y[1] (numeric) = 1.0818721365320837475651100554116
absolute error = 1.0818721365320837475651100554116
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0522
Order of pole (three term test) = -12.43
Radius of convergence (six term test) for eq 1 = 4.242
Order of pole (six term test) = 8.888
TOP MAIN SOLVE Loop
x[1] = 0.89
y[1] (analytic) = 0
y[1] (numeric) = 1.0989711479843681336324072381265
absolute error = 1.0989711479843681336324072381265
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05059
Order of pole (three term test) = -14.38
Radius of convergence (six term test) for eq 1 = 4.239
Order of pole (six term test) = 8.872
TOP MAIN SOLVE Loop
x[1] = 0.9
y[1] (analytic) = 0
y[1] (numeric) = 1.1161449201823449770050086992444
absolute error = 1.1161449201823449770050086992444
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04751
Order of pole (three term test) = -16.3
Radius of convergence (six term test) for eq 1 = 4.237
Order of pole (six term test) = 8.858
TOP MAIN SOLVE Loop
bytes used=36009176, alloc=4586680, time=1.25
x[1] = 0.91
y[1] (analytic) = 0
y[1] (numeric) = 1.1333928472174244415806322687843
absolute error = 1.1333928472174244415806322687843
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04302
Order of pole (three term test) = -18.15
Radius of convergence (six term test) for eq 1 = 4.234
Order of pole (six term test) = 8.846
TOP MAIN SOLVE Loop
x[1] = 0.92
y[1] (analytic) = 0
y[1] (numeric) = 1.1507143050641981366467413724879
absolute error = 1.1507143050641981366467413724879
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03724
Order of pole (three term test) = -19.88
Radius of convergence (six term test) for eq 1 = 4.232
Order of pole (six term test) = 8.837
TOP MAIN SOLVE Loop
x[1] = 0.93
y[1] (analytic) = 0
y[1] (numeric) = 1.1681086516041468122290252985616
absolute error = 1.1681086516041468122290252985616
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0303
Order of pole (three term test) = -21.44
Radius of convergence (six term test) for eq 1 = 4.23
Order of pole (six term test) = 8.83
TOP MAIN SOLVE Loop
x[1] = 0.94
y[1] (analytic) = 0
y[1] (numeric) = 1.1855752266573862776068882356767
absolute error = 1.1855752266573862776068882356767
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02236
Order of pole (three term test) = -22.8
Radius of convergence (six term test) for eq 1 = 4.229
Order of pole (six term test) = 8.827
TOP MAIN SOLVE Loop
x[1] = 0.95
y[1] (analytic) = 0
y[1] (numeric) = 1.2031133520225240234715397792378
absolute error = 1.2031133520225240234715397792378
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.01364
Order of pole (three term test) = -23.91
Radius of convergence (six term test) for eq 1 = 4.227
Order of pole (six term test) = 8.827
TOP MAIN SOLVE Loop
x[1] = 0.96
y[1] (analytic) = 0
y[1] (numeric) = 1.2207223315246936971107718350892
absolute error = 1.2207223315246936971107718350892
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.004342
Order of pole (three term test) = -24.75
Radius of convergence (six term test) for eq 1 = 4.227
Order of pole (six term test) = 8.831
TOP MAIN SOLVE Loop
x[1] = 0.97
y[1] (analytic) = 0
y[1] (numeric) = 1.238401451071829116974253909617
absolute error = 1.238401451071829116974253909617
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.226
Order of pole (six term test) = 8.839
TOP MAIN SOLVE Loop
x[1] = 0.98
y[1] (analytic) = 0
y[1] (numeric) = 1.2561499787192339224960153069654
absolute error = 1.2561499787192339224960153069654
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.226
Order of pole (six term test) = 8.851
TOP MAIN SOLVE Loop
x[1] = 0.99
y[1] (analytic) = 0
y[1] (numeric) = 1.273967164742497241856400110027
absolute error = 1.273967164742497241856400110027
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.227
Order of pole (six term test) = 8.866
TOP MAIN SOLVE Loop
x[1] = 1
y[1] (analytic) = 0
y[1] (numeric) = 1.2918522417187999294177519312924
absolute error = 1.2918522417187999294177519312924
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.228
Order of pole (six term test) = 8.884
TOP MAIN SOLVE Loop
x[1] = 1.01
y[1] (analytic) = 0
y[1] (numeric) = 1.3098044246166499810594005607028
absolute error = 1.3098044246166499810594005607028
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.229
Order of pole (six term test) = 8.905
TOP MAIN SOLVE Loop
x[1] = 1.02
y[1] (analytic) = 0
y[1] (numeric) = 1.3278229108940796849856375155048
absolute error = 1.3278229108940796849856375155048
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
bytes used=40010416, alloc=4586680, time=1.40
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.23
Order of pole (six term test) = 8.93
TOP MAIN SOLVE Loop
x[1] = 1.03
y[1] (analytic) = 0
y[1] (numeric) = 1.3459068806053309134217661965042
absolute error = 1.3459068806053309134217661965042
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.232
Order of pole (six term test) = 8.956
TOP MAIN SOLVE Loop
x[1] = 1.04
y[1] (analytic) = 0
y[1] (numeric) = 1.3640554965160487127975889122219
absolute error = 1.3640554965160487127975889122219
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.234
Order of pole (six term test) = 8.984
TOP MAIN SOLVE Loop
x[1] = 1.05
y[1] (analytic) = 0
y[1] (numeric) = 1.3822679042269970126011565584637
absolute error = 1.3822679042269970126011565584637
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.236
Order of pole (six term test) = 9.013
TOP MAIN SOLVE Loop
x[1] = 1.06
y[1] (analytic) = 0
y[1] (numeric) = 1.4005432323063038523244162236316
absolute error = 1.4005432323063038523244162236316
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.238
Order of pole (six term test) = 9.043
TOP MAIN SOLVE Loop
x[1] = 1.07
y[1] (analytic) = 0
y[1] (numeric) = 1.4188805924302370282652280982682
absolute error = 1.4188805924302370282652280982682
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.24
Order of pole (six term test) = 9.074
TOP MAIN SOLVE Loop
x[1] = 1.08
y[1] (analytic) = 0
y[1] (numeric) = 1.4372790795325044940305054779499
absolute error = 1.4372790795325044940305054779499
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.242
Order of pole (six term test) = 9.103
TOP MAIN SOLVE Loop
x[1] = 1.09
y[1] (analytic) = 0
y[1] (numeric) = 1.4557377719620672172128916154865
absolute error = 1.4557377719620672172128916154865
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.244
Order of pole (six term test) = 9.132
TOP MAIN SOLVE Loop
x[1] = 1.1
y[1] (analytic) = 0
y[1] (numeric) = 1.4742557316494455068662062436629
absolute error = 1.4742557316494455068662062436629
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.246
Order of pole (six term test) = 9.159
TOP MAIN SOLVE Loop
x[1] = 1.11
y[1] (analytic) = 0
y[1] (numeric) = 1.4928320042814930892194215202288
absolute error = 1.4928320042814930892194215202288
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.247
Order of pole (six term test) = 9.184
TOP MAIN SOLVE Loop
x[1] = 1.12
y[1] (analytic) = 0
y[1] (numeric) = 1.5114656194846064298309863376566
absolute error = 1.5114656194846064298309863376566
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.249
Order of pole (six term test) = 9.206
TOP MAIN SOLVE Loop
x[1] = 1.13
y[1] (analytic) = 0
y[1] (numeric) = 1.5301555910163299865201236753258
absolute error = 1.5301555910163299865201236753258
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.25
Order of pole (six term test) = 9.225
TOP MAIN SOLVE Loop
bytes used=44012428, alloc=4586680, time=1.54
x[1] = 1.14
y[1] (analytic) = 0
y[1] (numeric) = 1.548900916965311236473617753948
absolute error = 1.548900916965311236473617753948
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.251
Order of pole (six term test) = 9.241
TOP MAIN SOLVE Loop
x[1] = 1.15
y[1] (analytic) = 0
y[1] (numeric) = 1.5677005799595524605884251141578
absolute error = 1.5677005799595524605884251141578
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.251
Order of pole (six term test) = 9.253
TOP MAIN SOLVE Loop
x[1] = 1.16
y[1] (analytic) = 0
y[1] (numeric) = 1.5865535473828993961525537226633
absolute error = 1.5865535473828993961525537226633
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.251
Order of pole (six term test) = 9.261
TOP MAIN SOLVE Loop
x[1] = 1.17
y[1] (analytic) = 0
y[1] (numeric) = 1.6054587715996999932656562190749
absolute error = 1.6054587715996999932656562190749
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.251
Order of pole (six term test) = 9.265
TOP MAIN SOLVE Loop
x[1] = 1.18
y[1] (analytic) = 0
y[1] (numeric) = 1.62441519018755963891790670856
absolute error = 1.62441519018755963891790670856
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.25
Order of pole (six term test) = 9.265
TOP MAIN SOLVE Loop
x[1] = 1.19
y[1] (analytic) = 0
y[1] (numeric) = 1.6434217261781123534149467579449
absolute error = 1.6434217261781123534149467579449
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.009329
Order of pole (three term test) = -1.038
Radius of convergence (six term test) for eq 1 = 4.249
Order of pole (six term test) = 9.262
TOP MAIN SOLVE Loop
x[1] = 1.2
y[1] (analytic) = 0
y[1] (numeric) = 1.6624772883057206249525585638698
absolute error = 1.6624772883057206249525585638698
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0185
Order of pole (three term test) = -1.481
Radius of convergence (six term test) for eq 1 = 4.248
Order of pole (six term test) = 9.254
TOP MAIN SOLVE Loop
x[1] = 1.21
y[1] (analytic) = 0
y[1] (numeric) = 1.6815807712640097377500140528912
absolute error = 1.6815807712640097377500140528912
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02709
Order of pole (three term test) = -2.214
Radius of convergence (six term test) for eq 1 = 4.246
Order of pole (six term test) = 9.244
TOP MAIN SOLVE Loop
x[1] = 1.22
y[1] (analytic) = 0
y[1] (numeric) = 1.7007310559701356754241098224122
absolute error = 1.7007310559701356754241098224122
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.386
Order of pole (ratio test) Not computed
Radius of convergence (three term test) for eq 1 = 0.0349
Order of pole (three term test) = -3.217
Radius of convergence (six term test) for eq 1 = 4.244
Order of pole (six term test) = 9.23
TOP MAIN SOLVE Loop
x[1] = 1.23
y[1] (analytic) = 0
y[1] (numeric) = 1.7199270098366789524278671287943
absolute error = 1.7199270098366789524278671287943
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04173
Order of pole (three term test) = -4.468
Radius of convergence (six term test) for eq 1 = 4.241
Order of pole (six term test) = 9.213
TOP MAIN SOLVE Loop
x[1] = 1.24
y[1] (analytic) = 0
y[1] (numeric) = 1.7391674870510500505997048836808
absolute error = 1.7391674870510500505997048836808
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04743
Order of pole (three term test) = -5.937
Radius of convergence (six term test) for eq 1 = 4.239
Order of pole (six term test) = 9.194
TOP MAIN SOLVE Loop
bytes used=48013404, alloc=4586680, time=1.69
x[1] = 1.25
y[1] (analytic) = 0
y[1] (numeric) = 1.7584513288622855233782308965566
absolute error = 1.7584513288622855233782308965566
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05186
Order of pole (three term test) = -7.587
Radius of convergence (six term test) for eq 1 = 4.236
Order of pole (six term test) = 9.174
TOP MAIN SOLVE Loop
x[1] = 1.26
y[1] (analytic) = 0
y[1] (numeric) = 1.7777773638751072852257561880793
absolute error = 1.7777773638751072852257561880793
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05489
Order of pole (three term test) = -9.379
Radius of convergence (six term test) for eq 1 = 4.233
Order of pole (six term test) = 9.152
TOP MAIN SOLVE Loop
x[1] = 1.27
y[1] (analytic) = 0
y[1] (numeric) = 1.7971444083511111364314739345896
absolute error = 1.7971444083511111364314739345896
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05646
Order of pole (three term test) = -11.27
Radius of convergence (six term test) for eq 1 = 4.231
Order of pole (six term test) = 9.13
TOP MAIN SOLVE Loop
x[1] = 1.28
y[1] (analytic) = 0
y[1] (numeric) = 1.8165512665169441918509671946061
absolute error = 1.8165512665169441918509671946061
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05652
Order of pole (three term test) = -13.2
Radius of convergence (six term test) for eq 1 = 4.228
Order of pole (six term test) = 9.108
TOP MAIN SOLVE Loop
x[1] = 1.29
y[1] (analytic) = 0
y[1] (numeric) = 1.8359967308793245943436574087664
absolute error = 1.8359967308793245943436574087664
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05505
Order of pole (three term test) = -15.14
Radius of convergence (six term test) for eq 1 = 4.225
Order of pole (six term test) = 9.086
TOP MAIN SOLVE Loop
x[1] = 1.3
y[1] (analytic) = 0
y[1] (numeric) = 1.8554795825467507076852175548876
absolute error = 1.8554795825467507076852175548876
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0521
Order of pole (three term test) = -17.03
Radius of convergence (six term test) for eq 1 = 4.222
Order of pole (six term test) = 9.066
TOP MAIN SOLVE Loop
x[1] = 1.31
y[1] (analytic) = 0
y[1] (numeric) = 1.8749985915577409074655767328839
absolute error = 1.8749985915577409074655767328839
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04772
Order of pole (three term test) = -18.81
Radius of convergence (six term test) for eq 1 = 4.22
Order of pole (six term test) = 9.048
TOP MAIN SOLVE Loop
x[1] = 1.32
y[1] (analytic) = 0
y[1] (numeric) = 1.8945525172154391297457890979968
absolute error = 1.8945525172154391297457890979968
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04202
Order of pole (three term test) = -20.45
Radius of convergence (six term test) for eq 1 = 4.218
Order of pole (six term test) = 9.032
TOP MAIN SOLVE Loop
x[1] = 1.33
y[1] (analytic) = 0
y[1] (numeric) = 1.9141401084284155037394210106595
absolute error = 1.9141401084284155037394210106595
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03515
Order of pole (three term test) = -21.89
Radius of convergence (six term test) for eq 1 = 4.216
Order of pole (six term test) = 9.018
TOP MAIN SOLVE Loop
x[1] = 1.34
y[1] (analytic) = 0
y[1] (numeric) = 1.9337601040574856940835763149549
absolute error = 1.9337601040574856940835763149549
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02729
Order of pole (three term test) = -23.1
Radius of convergence (six term test) for eq 1 = 4.215
Order of pole (six term test) = 9.008
TOP MAIN SOLVE Loop
x[1] = 1.35
y[1] (analytic) = 0
y[1] (numeric) = 1.9534112332683670178121931702435
absolute error = 1.9534112332683670178121931702435
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.01863
Order of pole (three term test) = -24.04
Radius of convergence (six term test) for eq 1 = 4.214
Order of pole (six term test) = 9.001
TOP MAIN SOLVE Loop
bytes used=52014216, alloc=4652204, time=1.83
x[1] = 1.36
y[1] (analytic) = 0
y[1] (numeric) = 1.9730922158899839882314970169621
absolute error = 1.9730922158899839882314970169621
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.009397
Order of pole (three term test) = -24.7
Radius of convergence (six term test) for eq 1 = 4.213
Order of pole (six term test) = 8.998
TOP MAIN SOLVE Loop
x[1] = 1.37
y[1] (analytic) = 0
y[1] (numeric) = 1.9928017627782306796542073563531
absolute error = 1.9928017627782306796542073563531
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.213
Order of pole (six term test) = 8.999
TOP MAIN SOLVE Loop
x[1] = 1.38
y[1] (analytic) = 0
y[1] (numeric) = 2.0125385761849922103305544330424
absolute error = 2.0125385761849922103305544330424
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.213
Order of pole (six term test) = 9.004
TOP MAIN SOLVE Loop
x[1] = 1.39
y[1] (analytic) = 0
y[1] (numeric) = 2.0323013501322227126889793219947
absolute error = 2.0323013501322227126889793219947
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.213
Order of pole (six term test) = 9.012
TOP MAIN SOLVE Loop
x[1] = 1.4
y[1] (analytic) = 0
y[1] (numeric) = 2.052088770790872406737556211638
absolute error = 2.052088770790872406737556211638
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.214
Order of pole (six term test) = 9.024
TOP MAIN SOLVE Loop
x[1] = 1.41
y[1] (analytic) = 0
y[1] (numeric) = 2.0718995168644518205383981739576
absolute error = 2.0718995168644518205383981739576
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.215
Order of pole (six term test) = 9.039
TOP MAIN SOLVE Loop
x[1] = 1.42
y[1] (analytic) = 0
y[1] (numeric) = 2.091732259977016817189689177016
absolute error = 2.091732259977016817189689177016
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.217
Order of pole (six term test) = 9.057
TOP MAIN SOLVE Loop
x[1] = 1.43
y[1] (analytic) = 0
y[1] (numeric) = 2.1115856650653538966390440250404
absolute error = 2.1115856650653538966390440250404
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.219
Order of pole (six term test) = 9.078
TOP MAIN SOLVE Loop
x[1] = 1.44
y[1] (analytic) = 0
y[1] (numeric) = 2.1314583907751412485699711771888
absolute error = 2.1314583907751412485699711771888
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.525
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.221
Order of pole (six term test) = 9.102
TOP MAIN SOLVE Loop
x[1] = 1.45
y[1] (analytic) = 0
y[1] (numeric) = 2.1513490898608572449592593883021
absolute error = 2.1513490898608572449592593883021
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.894
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.223
Order of pole (six term test) = 9.126
TOP MAIN SOLVE Loop
x[1] = 1.46
y[1] (analytic) = 0
y[1] (numeric) = 2.1712564095892044828429357833329
absolute error = 2.1712564095892044828429357833329
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.551
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.225
Order of pole (six term test) = 9.152
TOP MAIN SOLVE Loop
x[1] = 1.47
y[1] (analytic) = 0
y[1] (numeric) = 2.1911789921458141242253832503445
absolute error = 2.1911789921458141242253832503445
relative error = -1 %
Correct digits = -1
h = 0.01
bytes used=56015508, alloc=4652204, time=1.98
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.238
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.228
Order of pole (six term test) = 9.179
TOP MAIN SOLVE Loop
x[1] = 1.48
y[1] (analytic) = 0
y[1] (numeric) = 2.2111154750449921355122611436301
absolute error = 2.2111154750449921355122611436301
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.23
Order of pole (six term test) = 9.205
TOP MAIN SOLVE Loop
x[1] = 1.49
y[1] (analytic) = 0
y[1] (numeric) = 2.2310644915422661076453504875123
absolute error = 2.2310644915422661076453504875123
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.233
Order of pole (six term test) = 9.231
TOP MAIN SOLVE Loop
x[1] = 1.5
y[1] (analytic) = 0
y[1] (numeric) = 2.2510246710494886442710940199701
absolute error = 2.2510246710494886442710940199701
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.235
Order of pole (six term test) = 9.255
TOP MAIN SOLVE Loop
x[1] = 1.51
y[1] (analytic) = 0
y[1] (numeric) = 2.270994639552250842484288670445
absolute error = 2.270994639552250842484288670445
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.237
Order of pole (six term test) = 9.277
TOP MAIN SOLVE Loop
x[1] = 1.52
y[1] (analytic) = 0
y[1] (numeric) = 2.2909730200293571623423088298669
absolute error = 2.2909730200293571623423088298669
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.239
Order of pole (six term test) = 9.297
TOP MAIN SOLVE Loop
x[1] = 1.53
y[1] (analytic) = 0
y[1] (numeric) = 2.3109584328741109905136917533595
absolute error = 2.3109584328741109905136917533595
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.241
Order of pole (six term test) = 9.314
TOP MAIN SOLVE Loop
x[1] = 1.54
y[1] (analytic) = 0
y[1] (numeric) = 2.3309494963171584528546524322253
absolute error = 2.3309494963171584528546524322253
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.242
Order of pole (six term test) = 9.328
TOP MAIN SOLVE Loop
x[1] = 1.55
y[1] (analytic) = 0
y[1] (numeric) = 2.3509448268506365228162539219462
absolute error = 2.3509448268506365228162539219462
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.243
Order of pole (six term test) = 9.338
TOP MAIN SOLVE Loop
x[1] = 1.56
y[1] (analytic) = 0
y[1] (numeric) = 2.3709430396533702094586055570582
absolute error = 2.3709430396533702094586055570582
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.244
Order of pole (six term test) = 9.344
TOP MAIN SOLVE Loop
x[1] = 1.57
y[1] (analytic) = 0
y[1] (numeric) = 2.3909427490168625922347334237184
absolute error = 2.3909427490168625922347334237184
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.244
Order of pole (six term test) = 9.347
TOP MAIN SOLVE Loop
x[1] = 1.58
y[1] (analytic) = 0
y[1] (numeric) = 2.4109425687718207010136417172499
absolute error = 2.4109425687718207010136417172499
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.008845
Order of pole (three term test) = -1.022
Radius of convergence (six term test) for eq 1 = 4.244
Order of pole (six term test) = 9.345
bytes used=60017272, alloc=4652204, time=2.12
TOP MAIN SOLVE Loop
x[1] = 1.59
y[1] (analytic) = 0
y[1] (numeric) = 2.4309411127149597201047698101734
absolute error = 2.4309411127149597201047698101734
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.01825
Order of pole (three term test) = -1.451
Radius of convergence (six term test) for eq 1 = 4.243
Order of pole (six term test) = 9.339
TOP MAIN SOLVE Loop
x[1] = 1.6
y[1] (analytic) = 0
y[1] (numeric) = 2.4509369950358277250450173992913
absolute error = 2.4509369950358277250450173992913
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02722
Order of pole (three term test) = -2.172
Radius of convergence (six term test) for eq 1 = 4.242
Order of pole (six term test) = 9.33
TOP MAIN SOLVE Loop
x[1] = 1.61
y[1] (analytic) = 0
y[1] (numeric) = 2.4709288307433931409891530952379
absolute error = 2.4709288307433931409891530952379
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03554
Order of pole (three term test) = -3.166
Radius of convergence (six term test) for eq 1 = 4.241
Order of pole (six term test) = 9.317
TOP MAIN SOLVE Loop
x[1] = 1.62
y[1] (analytic) = 0
y[1] (numeric) = 2.4909152360921373417323651125771
absolute error = 2.4909152360921373417323651125771
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04302
Order of pole (three term test) = -4.41
Radius of convergence (six term test) for eq 1 = 4.239
Order of pole (six term test) = 9.3
TOP MAIN SOLVE Loop
x[1] = 1.63
y[1] (analytic) = 0
y[1] (numeric) = 2.510894829007395288370760692677
absolute error = 2.510894829007395288370760692677
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04947
Order of pole (three term test) = -5.875
Radius of convergence (six term test) for eq 1 = 4.237
Order of pole (six term test) = 9.28
TOP MAIN SOLVE Loop
x[1] = 1.64
y[1] (analytic) = 0
y[1] (numeric) = 2.5308662295096878357063491215847
absolute error = 2.5308662295096878357063491215847
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05472
Order of pole (three term test) = -7.523
Radius of convergence (six term test) for eq 1 = 4.235
Order of pole (six term test) = 9.258
TOP MAIN SOLVE Loop
x[1] = 1.65
y[1] (analytic) = 0
y[1] (numeric) = 2.5508280601377903117170316035095
absolute error = 2.5508280601377903117170316035095
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05866
Order of pole (three term test) = -9.315
Radius of convergence (six term test) for eq 1 = 4.233
Order of pole (six term test) = 9.235
TOP MAIN SOLVE Loop
x[1] = 1.66
y[1] (analytic) = 0
y[1] (numeric) = 2.5707789463702831993858257624895
absolute error = 2.5707789463702831993858257624895
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06117
Order of pole (three term test) = -11.2
Radius of convergence (six term test) for eq 1 = 4.231
Order of pole (six term test) = 9.209
TOP MAIN SOLVE Loop
x[1] = 1.67
y[1] (analytic) = 0
y[1] (numeric) = 2.5907175170453322192228109755599
absolute error = 2.5907175170453322192228109755599
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.19
Order of pole (ratio test) Not computed
Radius of convergence (three term test) for eq 1 = 0.06219
Order of pole (three term test) = -13.14
Radius of convergence (six term test) for eq 1 = 4.228
Order of pole (six term test) = 9.183
TOP MAIN SOLVE Loop
x[1] = 1.68
y[1] (analytic) = 0
y[1] (numeric) = 2.6106424047784468228864467917689
absolute error = 2.6106424047784468228864467917689
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.499
Order of pole (ratio test) Not computed
Radius of convergence (three term test) for eq 1 = 0.06168
Order of pole (three term test) = -15.09
Radius of convergence (six term test) for eq 1 = 4.226
Order of pole (six term test) = 9.157
TOP MAIN SOLVE Loop
x[1] = 1.69
y[1] (analytic) = 0
y[1] (numeric) = 2.6305522463779680610526148054239
absolute error = 2.6305522463779680610526148054239
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.843
Order of pole (ratio test) Not computed
Radius of convergence (three term test) for eq 1 = 0.05965
Order of pole (three term test) = -16.98
Radius of convergence (six term test) for eq 1 = 4.223
Order of pole (six term test) = 9.131
TOP MAIN SOLVE Loop
bytes used=64018088, alloc=4652204, time=2.27
x[1] = 1.7
y[1] (analytic) = 0
y[1] (numeric) = 2.6504456832580389793952265089867
absolute error = 2.6504456832580389793952265089867
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.581
Order of pole (ratio test) Not computed
Radius of convergence (three term test) for eq 1 = 0.05614
Order of pole (three term test) = -18.77
Radius of convergence (six term test) for eq 1 = 4.221
Order of pole (six term test) = 9.106
TOP MAIN SOLVE Loop
x[1] = 1.71
y[1] (analytic) = 0
y[1] (numeric) = 2.6703213618488131222123938271554
absolute error = 2.6703213618488131222123938271554
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05124
Order of pole (three term test) = -20.41
Radius of convergence (six term test) for eq 1 = 4.219
Order of pole (six term test) = 9.082
TOP MAIN SOLVE Loop
x[1] = 1.72
y[1] (analytic) = 0
y[1] (numeric) = 2.690177934003659380519007632865
absolute error = 2.690177934003659380519007632865
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04508
Order of pole (three term test) = -21.86
Radius of convergence (six term test) for eq 1 = 4.217
Order of pole (six term test) = 9.061
TOP MAIN SOLVE Loop
x[1] = 1.73
y[1] (analytic) = 0
y[1] (numeric) = 2.710014057403124306679444748079
absolute error = 2.710014057403124306679444748079
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0378
Order of pole (three term test) = -23.07
Radius of convergence (six term test) for eq 1 = 4.215
Order of pole (six term test) = 9.042
TOP MAIN SOLVE Loop
x[1] = 1.74
y[1] (analytic) = 0
y[1] (numeric) = 2.7298283959554161269163555708078
absolute error = 2.7298283959554161269163555708078
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0296
Order of pole (three term test) = -24.03
Radius of convergence (six term test) for eq 1 = 4.214
Order of pole (six term test) = 9.026
TOP MAIN SOLVE Loop
x[1] = 1.75
y[1] (analytic) = 0
y[1] (numeric) = 2.74961962019317801204764476536
absolute error = 2.74961962019317801204764476536
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02069
Order of pole (three term test) = -24.69
Radius of convergence (six term test) for eq 1 = 4.213
Order of pole (six term test) = 9.014
TOP MAIN SOLVE Loop
x[1] = 1.76
y[1] (analytic) = 0
y[1] (numeric) = 2.7693864076663217110274356857922
absolute error = 2.7693864076663217110274356857922
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0113
Order of pole (three term test) = -25.04
Radius of convergence (six term test) for eq 1 = 4.213
Order of pole (six term test) = 9.005
TOP MAIN SOLVE Loop
x[1] = 1.77
y[1] (analytic) = 0
y[1] (numeric) = 2.7891274433306964064688982146171
absolute error = 2.7891274433306964064688982146171
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.00169
Order of pole (three term test) = -25.07
Radius of convergence (six term test) for eq 1 = 4.212
Order of pole (six term test) = 9
TOP MAIN SOLVE Loop
x[1] = 1.78
y[1] (analytic) = 0
y[1] (numeric) = 2.8088414199323716112042949716875
absolute error = 2.8088414199323716112042949716875
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.213
Order of pole (six term test) = 8.998
TOP MAIN SOLVE Loop
x[1] = 1.79
y[1] (analytic) = 0
y[1] (numeric) = 2.8285270383873170847227718201363
absolute error = 2.8285270383873170847227718201363
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.213
Order of pole (six term test) = 9.001
TOP MAIN SOLVE Loop
x[1] = 1.8
y[1] (analytic) = 0
y[1] (numeric) = 2.8481830081562671023966308505539
absolute error = 2.8481830081562671023966308505539
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.214
Order of pole (six term test) = 9.007
TOP MAIN SOLVE Loop
bytes used=68019936, alloc=4652204, time=2.41
x[1] = 1.81
y[1] (analytic) = 0
y[1] (numeric) = 2.8678080476145609528945900142945
absolute error = 2.8678080476145609528945900142945
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.216
Order of pole (six term test) = 9.016
TOP MAIN SOLVE Loop
x[1] = 1.82
y[1] (analytic) = 0
y[1] (numeric) = 2.8874008844167562639840686474904
absolute error = 2.8874008844167562639840686474904
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.218
Order of pole (six term test) = 9.029
TOP MAIN SOLVE Loop
x[1] = 1.83
y[1] (analytic) = 0
y[1] (numeric) = 2.9069602558558166577186777601509
absolute error = 2.9069602558558166577186777601509
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.22
Order of pole (six term test) = 9.045
TOP MAIN SOLVE Loop
x[1] = 1.84
y[1] (analytic) = 0
y[1] (numeric) = 2.9264849092166803062545673911845
absolute error = 2.9264849092166803062545673911845
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.222
Order of pole (six term test) = 9.063
TOP MAIN SOLVE Loop
x[1] = 1.85
y[1] (analytic) = 0
y[1] (numeric) = 2.9459736021240211925023179694805
absolute error = 2.9459736021240211925023179694805
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.225
Order of pole (six term test) = 9.083
TOP MAIN SOLVE Loop
x[1] = 1.86
y[1] (analytic) = 0
y[1] (numeric) = 2.965425102884020268573293159845
absolute error = 2.965425102884020268573293159845
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.227
Order of pole (six term test) = 9.104
TOP MAIN SOLVE Loop
x[1] = 1.87
y[1] (analytic) = 0
y[1] (numeric) = 2.9848381908199692424180270496733
absolute error = 2.9848381908199692424180270496733
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.23
Order of pole (six term test) = 9.126
TOP MAIN SOLVE Loop
x[1] = 1.88
y[1] (analytic) = 0
y[1] (numeric) = 3.0042116566015354019125596093301
absolute error = 3.0042116566015354019125596093301
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.233
Order of pole (six term test) = 9.149
TOP MAIN SOLVE Loop
x[1] = 1.89
y[1] (analytic) = 0
y[1] (numeric) = 3.0235443025675216985086146451902
absolute error = 3.0235443025675216985086146451902
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.236
Order of pole (six term test) = 9.17
TOP MAIN SOLVE Loop
x[1] = 1.9
y[1] (analytic) = 0
y[1] (numeric) = 3.042834943041962251868635931739
absolute error = 3.042834943041962251868635931739
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.238
Order of pole (six term test) = 9.191
TOP MAIN SOLVE Loop
x[1] = 1.91
y[1] (analytic) = 0
y[1] (numeric) = 3.0620824046433994949750329806326
absolute error = 3.0620824046433994949750329806326
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.241
Order of pole (six term test) = 9.21
TOP MAIN SOLVE Loop
bytes used=72020940, alloc=4652204, time=2.56
x[1] = 1.92
y[1] (analytic) = 0
y[1] (numeric) = 3.0812855265871953482403434056237
absolute error = 3.0812855265871953482403434056237
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.438
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.243
Order of pole (six term test) = 9.227
TOP MAIN SOLVE Loop
x[1] = 1.93
y[1] (analytic) = 0
y[1] (numeric) = 3.1004431609807350832582029106268
absolute error = 3.1004431609807350832582029106268
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.245
Order of pole (six term test) = 9.242
TOP MAIN SOLVE Loop
x[1] = 1.94
y[1] (analytic) = 0
y[1] (numeric) = 3.1195541731113889040451913397363
absolute error = 3.1195541731113889040451913397363
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.247
Order of pole (six term test) = 9.253
TOP MAIN SOLVE Loop
x[1] = 1.95
y[1] (analytic) = 0
y[1] (numeric) = 3.1386174417271027278797201416651
absolute error = 3.1386174417271027278797201416651
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.249
Order of pole (six term test) = 9.261
TOP MAIN SOLVE Loop
x[1] = 1.96
y[1] (analytic) = 0
y[1] (numeric) = 3.1576318593094961810362605453492
absolute error = 3.1576318593094961810362605453492
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.25
Order of pole (six term test) = 9.265
TOP MAIN SOLVE Loop
x[1] = 1.97
y[1] (analytic) = 0
y[1] (numeric) = 3.1765963323393524286861179574136
absolute error = 3.1765963323393524286861179574136
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.008346
Order of pole (three term test) = -1.005
Radius of convergence (six term test) for eq 1 = 4.251
Order of pole (six term test) = 9.266
TOP MAIN SOLVE Loop
x[1] = 1.98
y[1] (analytic) = 0
y[1] (numeric) = 3.1955097815543911248023842971488
absolute error = 3.1955097815543911248023842971488
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.01797
Order of pole (three term test) = -1.415
Radius of convergence (six term test) for eq 1 = 4.251
Order of pole (six term test) = 9.262
TOP MAIN SOLVE Loop
x[1] = 1.99
y[1] (analytic) = 0
y[1] (numeric) = 3.2143711421992224888607419968909
absolute error = 3.2143711421992224888607419968909
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02733
Order of pole (three term test) = -2.114
Radius of convergence (six term test) for eq 1 = 4.251
Order of pole (six term test) = 9.254
TOP MAIN SOLVE Loop
x[1] = 2
y[1] (analytic) = 0
y[1] (numeric) = 3.2331793642673872832581443923473
absolute error = 3.2331793642673872832581443923473
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0362
Order of pole (three term test) = -3.088
Radius of convergence (six term test) for eq 1 = 4.251
Order of pole (six term test) = 9.243
TOP MAIN SOLVE Loop
x[1] = 2.01
y[1] (analytic) = 0
y[1] (numeric) = 3.2519334127353942704744839472688
absolute error = 3.2519334127353942704744839472688
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04437
Order of pole (three term test) = -4.312
Radius of convergence (six term test) for eq 1 = 4.25
Order of pole (six term test) = 9.228
TOP MAIN SOLVE Loop
x[1] = 2.02
y[1] (analytic) = 0
y[1] (numeric) = 3.2706322677886735638953394518561
absolute error = 3.2706322677886735638953394518561
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05165
Order of pole (three term test) = -5.758
Radius of convergence (six term test) for eq 1 = 4.249
Order of pole (six term test) = 9.209
TOP MAIN SOLVE Loop
x[1] = 2.03
y[1] (analytic) = 0
y[1] (numeric) = 3.289274925039371142747485883857
absolute error = 3.289274925039371142747485883857
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05786
Order of pole (three term test) = -7.392
Radius of convergence (six term test) for eq 1 = 4.248
Order of pole (six term test) = 9.187
bytes used=76023424, alloc=4652204, time=2.71
TOP MAIN SOLVE Loop
x[1] = 2.04
y[1] (analytic) = 0
y[1] (numeric) = 3.3078603957359166716699808788201
absolute error = 3.3078603957359166716699808788201
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06286
Order of pole (three term test) = -9.174
Radius of convergence (six term test) for eq 1 = 4.246
Order of pole (six term test) = 9.163
TOP MAIN SOLVE Loop
x[1] = 2.05
y[1] (analytic) = 0
y[1] (numeric) = 3.326387706964303641007867910474
absolute error = 3.326387706964303641007867910474
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0665
Order of pole (three term test) = -11.06
Radius of convergence (six term test) for eq 1 = 4.244
Order of pole (six term test) = 9.136
TOP MAIN SOLVE Loop
x[1] = 2.06
y[1] (analytic) = 0
y[1] (numeric) = 3.3448559018410277169992407880058
absolute error = 3.3448559018410277169992407880058
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06871
Order of pole (three term test) = -13
Radius of convergence (six term test) for eq 1 = 4.242
Order of pole (six term test) = 9.108
TOP MAIN SOLVE Loop
x[1] = 2.07
y[1] (analytic) = 0
y[1] (numeric) = 3.3632640396976360537387345247056
absolute error = 3.3632640396976360537387345247056
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06942
Order of pole (three term test) = -14.96
Radius of convergence (six term test) for eq 1 = 4.24
Order of pole (six term test) = 9.078
TOP MAIN SOLVE Loop
x[1] = 2.08
y[1] (analytic) = 0
y[1] (numeric) = 3.3816111962568471633449858048185
absolute error = 3.3816111962568471633449858048185
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06861
Order of pole (three term test) = -16.87
Radius of convergence (six term test) for eq 1 = 4.238
Order of pole (six term test) = 9.048
TOP MAIN SOLVE Loop
x[1] = 2.09
y[1] (analytic) = 0
y[1] (numeric) = 3.3998964638002077594455345478231
absolute error = 3.3998964638002077594455345478231
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06629
Order of pole (three term test) = -18.7
Radius of convergence (six term test) for eq 1 = 4.236
Order of pole (six term test) = 9.018
TOP MAIN SOLVE Loop
x[1] = 2.1
y[1] (analytic) = 0
y[1] (numeric) = 3.4181189513272597743460832720984
absolute error = 3.4181189513272597743460832720984
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0625
Order of pole (three term test) = -20.38
Radius of convergence (six term test) for eq 1 = 4.234
Order of pole (six term test) = 8.989
TOP MAIN SOLVE Loop
x[1] = 2.11
y[1] (analytic) = 0
y[1] (numeric) = 3.4362777847061974946255168187968
absolute error = 3.4362777847061974946255168187968
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05735
Order of pole (three term test) = -21.89
Radius of convergence (six term test) for eq 1 = 4.232
Order of pole (six term test) = 8.96
TOP MAIN SOLVE Loop
x[1] = 2.12
y[1] (analytic) = 0
y[1] (numeric) = 3.4543721068160014560849153001552
absolute error = 3.4543721068160014560849153001552
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05096
Order of pole (three term test) = -23.18
Radius of convergence (six term test) for eq 1 = 4.23
Order of pole (six term test) = 8.934
TOP MAIN SOLVE Loop
x[1] = 2.13
y[1] (analytic) = 0
y[1] (numeric) = 3.4724010776800423798169988452522
absolute error = 3.4724010776800423798169988452522
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04348
Order of pole (three term test) = -24.21
Radius of convergence (six term test) for eq 1 = 4.229
Order of pole (six term test) = 8.909
TOP MAIN SOLVE Loop
x[1] = 2.14
y[1] (analytic) = 0
y[1] (numeric) = 3.4903638745911550096483373257227
absolute error = 3.4903638745911550096483373257227
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0351
Order of pole (three term test) = -24.96
Radius of convergence (six term test) for eq 1 = 4.228
Order of pole (six term test) = 8.887
TOP MAIN SOLVE Loop
bytes used=80024536, alloc=4652204, time=2.86
x[1] = 2.15
y[1] (analytic) = 0
y[1] (numeric) = 3.5082596922281882205029868295712
absolute error = 3.5082596922281882205029868295712
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02605
Order of pole (three term test) = -25.41
Radius of convergence (six term test) for eq 1 = 4.227
Order of pole (six term test) = 8.868
TOP MAIN SOLVE Loop
x[1] = 2.16
y[1] (analytic) = 0
y[1] (numeric) = 3.526087742764044200680883169927
absolute error = 3.526087742764044200680883169927
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.01654
Order of pole (three term test) = -25.54
Radius of convergence (six term test) for eq 1 = 4.226
Order of pole (six term test) = 8.853
TOP MAIN SOLVE Loop
x[1] = 2.17
y[1] (analytic) = 0
y[1] (numeric) = 3.543847255965225862158695296624
absolute error = 3.543847255965225862158695296624
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.006835
Order of pole (three term test) = -25.36
Radius of convergence (six term test) for eq 1 = 4.226
Order of pole (six term test) = 8.841
TOP MAIN SOLVE Loop
x[1] = 2.18
y[1] (analytic) = 0
y[1] (numeric) = 3.5615374792829178955175946116942
absolute error = 3.5615374792829178955175946116942
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.227
Order of pole (six term test) = 8.832
TOP MAIN SOLVE Loop
x[1] = 2.19
y[1] (analytic) = 0
y[1] (numeric) = 3.5791576779356330538929199054448
absolute error = 3.5791576779356330538929199054448
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.227
Order of pole (six term test) = 8.828
TOP MAIN SOLVE Loop
x[1] = 2.2
y[1] (analytic) = 0
y[1] (numeric) = 3.5967071349834613175420549575306
absolute error = 3.5967071349834613175420549575306
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.228
Order of pole (six term test) = 8.827
TOP MAIN SOLVE Loop
x[1] = 2.21
y[1] (analytic) = 0
y[1] (numeric) = 3.6141851513939655515681530401912
absolute error = 3.6141851513939655515681530401912
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.23
Order of pole (six term test) = 8.829
TOP MAIN SOLVE Loop
x[1] = 2.22
y[1] (analytic) = 0
y[1] (numeric) = 3.6315910460997731185659237654345
absolute error = 3.6315910460997731185659237654345
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.232
Order of pole (six term test) = 8.835
TOP MAIN SOLVE Loop
x[1] = 2.23
y[1] (analytic) = 0
y[1] (numeric) = 3.6489241560479186402424589712806
absolute error = 3.6489241560479186402424589712806
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.234
Order of pole (six term test) = 8.844
TOP MAIN SOLVE Loop
x[1] = 2.24
y[1] (analytic) = 0
y[1] (numeric) = 3.666183836240998712410592958902
absolute error = 3.666183836240998712410592958902
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.236
Order of pole (six term test) = 8.856
TOP MAIN SOLVE Loop
x[1] = 2.25
y[1] (analytic) = 0
y[1] (numeric) = 3.6833694597702048613873489899345
absolute error = 3.6833694597702048613873489899345
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.239
Order of pole (six term test) = 8.87
TOP MAIN SOLVE Loop
bytes used=84025504, alloc=4717728, time=3.00
x[1] = 2.26
y[1] (analytic) = 0
y[1] (numeric) = 3.7004804178403063822256555250844
absolute error = 3.7004804178403063822256555250844
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.242
Order of pole (six term test) = 8.886
TOP MAIN SOLVE Loop
x[1] = 2.27
y[1] (analytic) = 0
y[1] (numeric) = 3.7175161197866599160745792860097
absolute error = 3.7175161197866599160745792860097
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.245
Order of pole (six term test) = 8.903
TOP MAIN SOLVE Loop
x[1] = 2.28
y[1] (analytic) = 0
y[1] (numeric) = 3.7344759930843277012565699567366
absolute error = 3.7344759930843277012565699567366
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.248
Order of pole (six term test) = 8.92
TOP MAIN SOLVE Loop
x[1] = 2.29
y[1] (analytic) = 0
y[1] (numeric) = 3.7513594833493913665708784594637
absolute error = 3.7513594833493913665708784594637
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.251
Order of pole (six term test) = 8.938
TOP MAIN SOLVE Loop
x[1] = 2.3
y[1] (analytic) = 0
y[1] (numeric) = 3.7681660543325529223302197327656
absolute error = 3.7681660543325529223302197327656
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.254
Order of pole (six term test) = 8.956
TOP MAIN SOLVE Loop
x[1] = 2.31
y[1] (analytic) = 0
y[1] (numeric) = 3.7848951879051192414129355736507
absolute error = 3.7848951879051192414129355736507
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.257
Order of pole (six term test) = 8.972
TOP MAIN SOLVE Loop
x[1] = 2.32
y[1] (analytic) = 0
y[1] (numeric) = 3.8015463840374708061167673745169
absolute error = 3.8015463840374708061167673745169
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.26
Order of pole (six term test) = 8.987
TOP MAIN SOLVE Loop
x[1] = 2.33
y[1] (analytic) = 0
y[1] (numeric) = 3.8181191607701198240363065633185
absolute error = 3.8181191607701198240363065633185
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.263
Order of pole (six term test) = 9
TOP MAIN SOLVE Loop
x[1] = 2.34
y[1] (analytic) = 0
y[1] (numeric) = 3.8346130541774669850099440586425
absolute error = 3.8346130541774669850099440586425
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.266
Order of pole (six term test) = 9.011
TOP MAIN SOLVE Loop
x[1] = 2.35
y[1] (analytic) = 0
y[1] (numeric) = 3.8510276183243701391014020044439
absolute error = 3.8510276183243701391014020044439
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.268
Order of pole (six term test) = 9.018
TOP MAIN SOLVE Loop
x[1] = 2.36
y[1] (analytic) = 0
y[1] (numeric) = 3.8673624252156420205547532755951
absolute error = 3.8673624252156420205547532755951
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.001818
Order of pole (three term test) = -0.8981
Radius of convergence (six term test) for eq 1 = 4.27
Order of pole (six term test) = 9.022
TOP MAIN SOLVE Loop
x[1] = 2.37
y[1] (analytic) = 0
y[1] (numeric) = 3.8836170647385978228994892991921
absolute error = 3.8836170647385978228994892991921
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0116
bytes used=88026140, alloc=4717728, time=3.15
Order of pole (three term test) = -1.102
Radius of convergence (six term test) for eq 1 = 4.271
Order of pole (six term test) = 9.023
TOP MAIN SOLVE Loop
x[1] = 2.38
y[1] (analytic) = 0
y[1] (numeric) = 3.8997911445987769443416341732773
absolute error = 3.8997911445987769443416341732773
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02143
Order of pole (three term test) = -1.597
Radius of convergence (six term test) for eq 1 = 4.273
Order of pole (six term test) = 9.021
TOP MAIN SOLVE Loop
x[1] = 2.39
y[1] (analytic) = 0
y[1] (numeric) = 3.9158842902489665689627913237748
absolute error = 3.9158842902489665689627913237748
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03107
Order of pole (three term test) = -2.373
Radius of convergence (six term test) for eq 1 = 4.273
Order of pole (six term test) = 9.014
TOP MAIN SOLVE Loop
x[1] = 2.4
y[1] (analytic) = 0
y[1] (numeric) = 3.9318961448116579270103747300083
absolute error = 3.9318961448116579270103747300083
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04032
Order of pole (three term test) = -3.413
Radius of convergence (six term test) for eq 1 = 4.274
Order of pole (six term test) = 9.004
TOP MAIN SOLVE Loop
x[1] = 2.41
y[1] (analytic) = 0
y[1] (numeric) = 3.947826368995069085889754498755
absolute error = 3.947826368995069085889754498755
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04897
Order of pole (three term test) = -4.693
Radius of convergence (six term test) for eq 1 = 4.274
Order of pole (six term test) = 8.99
TOP MAIN SOLVE Loop
x[1] = 2.42
y[1] (analytic) = 0
y[1] (numeric) = 3.9636746410028709617917511448182
absolute error = 3.9636746410028709617917511448182
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05683
Order of pole (three term test) = -6.185
Radius of convergence (six term test) for eq 1 = 4.274
Order of pole (six term test) = 8.972
TOP MAIN SOLVE Loop
x[1] = 2.43
y[1] (analytic) = 0
y[1] (numeric) = 3.9794406564377559098709494099605
absolute error = 3.9794406564377559098709494099605
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06371
Order of pole (three term test) = -7.854
Radius of convergence (six term test) for eq 1 = 4.273
Order of pole (six term test) = 8.951
TOP MAIN SOLVE Loop
x[1] = 2.44
y[1] (analytic) = 0
y[1] (numeric) = 3.9951241281989907484269272046857
absolute error = 3.9951241281989907484269272046857
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06946
Order of pole (three term test) = -9.663
Radius of convergence (six term test) for eq 1 = 4.272
Order of pole (six term test) = 8.927
TOP MAIN SOLVE Loop
x[1] = 2.45
y[1] (analytic) = 0
y[1] (numeric) = 4.01072478637409839975394326193
absolute error = 4.01072478637409839975394326193
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07394
Order of pole (three term test) = -11.57
Radius of convergence (six term test) for eq 1 = 4.271
Order of pole (six term test) = 8.9
TOP MAIN SOLVE Loop
x[1] = 2.46
y[1] (analytic) = 0
y[1] (numeric) = 4.0262423781248144875596205848591
absolute error = 4.0262423781248144875596205848591
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07705
Order of pole (three term test) = -13.53
Radius of convergence (six term test) for eq 1 = 4.27
Order of pole (six term test) = 8.871
TOP MAIN SOLVE Loop
x[1] = 2.47
y[1] (analytic) = 0
y[1] (numeric) = 4.0416766675674672186721169569259
absolute error = 4.0416766675674672186721169569259
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0787
Order of pole (three term test) = -15.5
Radius of convergence (six term test) for eq 1 = 4.268
Order of pole (six term test) = 8.84
TOP MAIN SOLVE Loop
x[1] = 2.48
y[1] (analytic) = 0
y[1] (numeric) = 4.0570274356479306959332155430709
absolute error = 4.0570274356479306959332155430709
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07886
Order of pole (three term test) = -17.43
Radius of convergence (six term test) for eq 1 = 4.267
Order of pole (six term test) = 8.808
TOP MAIN SOLVE Loop
bytes used=92026932, alloc=4717728, time=3.30
x[1] = 2.49
y[1] (analytic) = 0
y[1] (numeric) = 4.0722944800113034606939844922503
absolute error = 4.0722944800113034606939844922503
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0775
Order of pole (three term test) = -19.27
Radius of convergence (six term test) for eq 1 = 4.265
Order of pole (six term test) = 8.775
TOP MAIN SOLVE Loop
x[1] = 2.5
y[1] (analytic) = 0
y[1] (numeric) = 4.0874776148664655483740844429411
absolute error = 4.0874776148664655483740844429411
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07466
Order of pole (three term test) = -20.98
Radius of convergence (six term test) for eq 1 = 4.263
Order of pole (six term test) = 8.741
TOP MAIN SOLVE Loop
x[1] = 2.51
y[1] (analytic) = 0
y[1] (numeric) = 4.1025766708456686604951966596309
absolute error = 4.1025766708456686604951966596309
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07039
Order of pole (three term test) = -22.52
Radius of convergence (six term test) for eq 1 = 4.261
Order of pole (six term test) = 8.708
TOP MAIN SOLVE Loop
x[1] = 2.52
y[1] (analytic) = 0
y[1] (numeric) = 4.1175914948593152130228973235316
absolute error = 4.1175914948593152130228973235316
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0648
Order of pole (three term test) = -23.85
Radius of convergence (six term test) for eq 1 = 4.26
Order of pole (six term test) = 8.676
TOP MAIN SOLVE Loop
x[1] = 2.53
y[1] (analytic) = 0
y[1] (numeric) = 4.1325219499460830155025878437862
absolute error = 4.1325219499460830155025878437862
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05802
Order of pole (three term test) = -24.94
Radius of convergence (six term test) for eq 1 = 4.258
Order of pole (six term test) = 8.645
TOP MAIN SOLVE Loop
x[1] = 2.54
y[1] (analytic) = 0
y[1] (numeric) = 4.1473679151185531702838024087438
absolute error = 4.1473679151185531702838024087438
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0502
Order of pole (three term test) = -25.75
Radius of convergence (six term test) for eq 1 = 4.257
Order of pole (six term test) = 8.616
TOP MAIN SOLVE Loop
x[1] = 2.55
y[1] (analytic) = 0
y[1] (numeric) = 4.1621292852044994581937466078011
absolute error = 4.1621292852044994581937466078011
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04153
Order of pole (three term test) = -26.27
Radius of convergence (six term test) for eq 1 = 4.256
Order of pole (six term test) = 8.589
TOP MAIN SOLVE Loop
x[1] = 2.56
y[1] (analytic) = 0
y[1] (numeric) = 4.1768059706839979986092912540658
absolute error = 4.1768059706839979986092912540658
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03222
Order of pole (three term test) = -26.48
Radius of convergence (six term test) for eq 1 = 4.255
Order of pole (six term test) = 8.565
TOP MAIN SOLVE Loop
x[1] = 2.57
y[1] (analytic) = 0
y[1] (numeric) = 4.1913978975225163404075800069219
absolute error = 4.1913978975225163404075800069219
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0225
Order of pole (three term test) = -26.39
Radius of convergence (six term test) for eq 1 = 4.255
Order of pole (six term test) = 8.543
TOP MAIN SOLVE Loop
x[1] = 2.58
y[1] (analytic) = 0
y[1] (numeric) = 4.2059050070001413583193137532942
absolute error = 4.2059050070001413583193137532942
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0126
Order of pole (three term test) = -25.99
Radius of convergence (six term test) for eq 1 = 4.255
Order of pole (six term test) = 8.525
TOP MAIN SOLVE Loop
x[1] = 2.59
y[1] (analytic) = 0
y[1] (numeric) = 4.220327255537105399478601155013
absolute error = 4.220327255537105399478601155013
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.002765
Order of pole (three term test) = -25.29
Radius of convergence (six term test) for eq 1 = 4.255
Order of pole (six term test) = 8.51
TOP MAIN SOLVE Loop
bytes used=96028044, alloc=4717728, time=3.45
x[1] = 2.6
y[1] (analytic) = 0
y[1] (numeric) = 4.2346646145157700503072937884093
absolute error = 4.2346646145157700503072937884093
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.256
Order of pole (six term test) = 8.499
TOP MAIN SOLVE Loop
x[1] = 2.61
y[1] (analytic) = 0
y[1] (numeric) = 4.2489170700992266772662773447477
absolute error = 4.2489170700992266772662773447477
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.257
Order of pole (six term test) = 8.491
TOP MAIN SOLVE Loop
x[1] = 2.62
y[1] (analytic) = 0
y[1] (numeric) = 4.2630846230466725395482894777961
absolute error = 4.2630846230466725395482894777961
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.259
Order of pole (six term test) = 8.486
TOP MAIN SOLVE Loop
x[1] = 2.63
y[1] (analytic) = 0
y[1] (numeric) = 4.277167288525720780686825054511
absolute error = 4.277167288525720780686825054511
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.261
Order of pole (six term test) = 8.485
TOP MAIN SOLVE Loop
x[1] = 2.64
y[1] (analytic) = 0
y[1] (numeric) = 4.2911650959218019826298391637347
absolute error = 4.2911650959218019826298391637347
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.263
Order of pole (six term test) = 8.487
TOP MAIN SOLVE Loop
x[1] = 2.65
y[1] (analytic) = 0
y[1] (numeric) = 4.3050780886448142134900527625854
absolute error = 4.3050780886448142134900527625854
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.265
Order of pole (six term test) = 8.492
TOP MAIN SOLVE Loop
x[1] = 2.66
y[1] (analytic) = 0
y[1] (numeric) = 4.3189063239331776224416095881369
absolute error = 4.3189063239331776224416095881369
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.268
Order of pole (six term test) = 8.499
TOP MAIN SOLVE Loop
x[1] = 2.67
y[1] (analytic) = 0
y[1] (numeric) = 4.3326498726554486356752729893681
absolute error = 4.3326498726554486356752729893681
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.271
Order of pole (six term test) = 8.509
TOP MAIN SOLVE Loop
x[1] = 2.68
y[1] (analytic) = 0
y[1] (numeric) = 4.346308819109647689617337579421
absolute error = 4.346308819109647689617337579421
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.274
Order of pole (six term test) = 8.52
TOP MAIN SOLVE Loop
x[1] = 2.69
y[1] (analytic) = 0
y[1] (numeric) = 4.3598832608204532054961256149766
absolute error = 4.3598832608204532054961256149766
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.278
Order of pole (six term test) = 8.532
TOP MAIN SOLVE Loop
x[1] = 2.7
y[1] (analytic) = 0
y[1] (numeric) = 4.3733733083344131666013892192323
absolute error = 4.3733733083344131666013892192323
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.281
Order of pole (six term test) = 8.546
TOP MAIN SOLVE Loop
bytes used=100029300, alloc=4717728, time=3.60
x[1] = 2.71
y[1] (analytic) = 0
y[1] (numeric) = 4.3867790850133242100779266512838
absolute error = 4.3867790850133242100779266512838
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.285
Order of pole (six term test) = 8.559
TOP MAIN SOLVE Loop
x[1] = 2.72
y[1] (analytic) = 0
y[1] (numeric) = 4.4001007268259265927246900442672
absolute error = 4.4001007268259265927246900442672
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.288
Order of pole (six term test) = 8.573
TOP MAIN SOLVE Loop
x[1] = 2.73
y[1] (analytic) = 0
y[1] (numeric) = 4.4133383821380617389747590415184
absolute error = 4.4133383821380617389747590415184
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.292
Order of pole (six term test) = 8.585
TOP MAIN SOLVE Loop
x[1] = 2.74
y[1] (analytic) = 0
y[1] (numeric) = 4.4264922115014373329837668009027
absolute error = 4.4264922115014373329837668009027
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.295
Order of pole (six term test) = 8.597
TOP MAIN SOLVE Loop
x[1] = 2.75
y[1] (analytic) = 0
y[1] (numeric) = 4.4395623874411430795557826970704
absolute error = 4.4395623874411430795557826970704
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.299
Order of pole (six term test) = 8.606
TOP MAIN SOLVE Loop
x[1] = 2.76
y[1] (analytic) = 0
y[1] (numeric) = 4.452549094242058334507865564658
absolute error = 4.452549094242058334507865564658
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.302
Order of pole (six term test) = 8.614
TOP MAIN SOLVE Loop
x[1] = 2.77
y[1] (analytic) = 0
y[1] (numeric) = 4.4654525277342907980531137099835
absolute error = 4.4654525277342907980531137099835
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.002161
Order of pole (three term test) = -0.9
Radius of convergence (six term test) for eq 1 = 4.304
Order of pole (six term test) = 8.619
TOP MAIN SOLVE Loop
x[1] = 2.78
y[1] (analytic) = 0
y[1] (numeric) = 4.4782728950777833789103676131999
absolute error = 4.4782728950777833789103676131999
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.01206
Order of pole (three term test) = -1.107
Radius of convergence (six term test) for eq 1 = 4.307
Order of pole (six term test) = 8.622
TOP MAIN SOLVE Loop
x[1] = 2.79
y[1] (analytic) = 0
y[1] (numeric) = 4.491010414546224176171619364781
absolute error = 4.491010414546224176171619364781
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02214
Order of pole (three term test) = -1.595
Radius of convergence (six term test) for eq 1 = 4.309
Order of pole (six term test) = 8.621
TOP MAIN SOLVE Loop
x[1] = 2.8
y[1] (analytic) = 0
y[1] (numeric) = 4.5036653153103922945160338426311
absolute error = 4.5036653153103922945160338426311
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03221
Order of pole (three term test) = -2.356
Radius of convergence (six term test) for eq 1 = 4.311
Order of pole (six term test) = 8.617
TOP MAIN SOLVE Loop
x[1] = 2.81
y[1] (analytic) = 0
y[1] (numeric) = 4.5162378372210699101823748860054
absolute error = 4.5162378372210699101823748860054
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04206
Order of pole (three term test) = -3.373
Radius of convergence (six term test) for eq 1 = 4.312
Order of pole (six term test) = 8.61
TOP MAIN SOLVE Loop
x[1] = 2.82
y[1] (analytic) = 0
y[1] (numeric) = 4.5287282305916486442136829901382
absolute error = 4.5287282305916486442136829901382
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0515
Order of pole (three term test) = -4.626
Radius of convergence (six term test) for eq 1 = 4.313
Order of pole (six term test) = 8.599
TOP MAIN SOLVE Loop
bytes used=104030164, alloc=4717728, time=3.74
x[1] = 2.83
y[1] (analytic) = 0
y[1] (numeric) = 4.5411367559805558798619659215018
absolute error = 4.5411367559805558798619659215018
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06032
Order of pole (three term test) = -6.089
Radius of convergence (six term test) for eq 1 = 4.314
Order of pole (six term test) = 8.584
TOP MAIN SOLVE Loop
x[1] = 2.84
y[1] (analytic) = 0
y[1] (numeric) = 4.5534636839736241866524187404207
absolute error = 4.5534636839736241866524187404207
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06834
Order of pole (three term test) = -7.733
Radius of convergence (six term test) for eq 1 = 4.315
Order of pole (six term test) = 8.567
TOP MAIN SOLVE Loop
x[1] = 2.85
y[1] (analytic) = 0
y[1] (numeric) = 4.5657092949665244883904510407341
absolute error = 4.5657092949665244883904510407341
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07541
Order of pole (three term test) = -9.522
Radius of convergence (six term test) for eq 1 = 4.315
Order of pole (six term test) = 8.546
TOP MAIN SOLVE Loop
x[1] = 2.86
y[1] (analytic) = 0
y[1] (numeric) = 4.5778738789473810402480220207351
absolute error = 4.5778738789473810402480220207351
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08136
Order of pole (three term test) = -11.42
Radius of convergence (six term test) for eq 1 = 4.315
Order of pole (six term test) = 8.522
TOP MAIN SOLVE Loop
x[1] = 2.87
y[1] (analytic) = 0
y[1] (numeric) = 4.5899577352796836648445145118974
absolute error = 4.5899577352796836648445145118974
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08607
Order of pole (three term test) = -13.39
Radius of convergence (six term test) for eq 1 = 4.314
Order of pole (six term test) = 8.495
TOP MAIN SOLVE Loop
x[1] = 2.88
y[1] (analytic) = 0
y[1] (numeric) = 4.6019611724856100427517592804864
absolute error = 4.6019611724856100427517592804864
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08944
Order of pole (three term test) = -15.38
Radius of convergence (six term test) for eq 1 = 4.313
Order of pole (six term test) = 8.466
TOP MAIN SOLVE Loop
x[1] = 2.89
y[1] (analytic) = 0
y[1] (numeric) = 4.6138845080298681628627987621198
absolute error = 4.6138845080298681628627987621198
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.09139
Order of pole (three term test) = -17.36
Radius of convergence (six term test) for eq 1 = 4.313
Order of pole (six term test) = 8.435
TOP MAIN SOLVE Loop
x[1] = 2.9
y[1] (analytic) = 0
y[1] (numeric) = 4.6257280681041663162752266465558
absolute error = 4.6257280681041663162752266465558
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.09186
Order of pole (three term test) = -19.28
Radius of convergence (six term test) for eq 1 = 4.312
Order of pole (six term test) = 8.402
TOP MAIN SOLVE Loop
x[1] = 2.91
y[1] (analytic) = 0
y[1] (numeric) = 4.6374921874124152673999786709449
absolute error = 4.6374921874124152673999786709449
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.09085
Order of pole (three term test) = -21.09
Radius of convergence (six term test) for eq 1 = 4.31
Order of pole (six term test) = 8.368
TOP MAIN SOLVE Loop
x[1] = 2.92
y[1] (analytic) = 0
y[1] (numeric) = 4.6491772089567644615009900936377
absolute error = 4.6491772089567644615009900936377
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08836
Order of pole (three term test) = -22.77
Radius of convergence (six term test) for eq 1 = 4.309
Order of pole (six term test) = 8.333
TOP MAIN SOLVE Loop
x[1] = 2.93
y[1] (analytic) = 0
y[1] (numeric) = 4.6607834838245713323206204848449
absolute error = 4.6607834838245713323206204848449
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08446
Order of pole (three term test) = -24.26
Radius of convergence (six term test) for eq 1 = 4.308
Order of pole (six term test) = 8.298
TOP MAIN SOLVE Loop
bytes used=108031200, alloc=4717728, time=3.89
x[1] = 2.94
y[1] (analytic) = 0
y[1] (numeric) = 4.67231137097639996030211263142
absolute error = 4.67231137097639996030211263142
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07921
Order of pole (three term test) = -25.54
Radius of convergence (six term test) for eq 1 = 4.307
Order of pole (six term test) = 8.263
TOP MAIN SOLVE Loop
x[1] = 2.95
y[1] (analytic) = 0
y[1] (numeric) = 4.683761237035142504563995308223
absolute error = 4.683761237035142504563995308223
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07273
Order of pole (three term test) = -26.58
Radius of convergence (six term test) for eq 1 = 4.306
Order of pole (six term test) = 8.229
TOP MAIN SOLVE Loop
x[1] = 2.96
y[1] (analytic) = 0
y[1] (numeric) = 4.6951334560763539935182921077343
absolute error = 4.6951334560763539935182921077343
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06515
Order of pole (three term test) = -27.35
Radius of convergence (six term test) for eq 1 = 4.305
Order of pole (six term test) = 8.196
TOP MAIN SOLVE Loop
x[1] = 2.97
y[1] (analytic) = 0
y[1] (numeric) = 4.7064284094198882130837150663789
absolute error = 4.7064284094198882130837150663789
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05665
Order of pole (three term test) = -27.84
Radius of convergence (six term test) for eq 1 = 4.304
Order of pole (six term test) = 8.164
TOP MAIN SOLVE Loop
x[1] = 2.98
y[1] (analytic) = 0
y[1] (numeric) = 4.7176464854229195809763704201137
absolute error = 4.7176464854229195809763704201137
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0474
Order of pole (three term test) = -28.04
Radius of convergence (six term test) for eq 1 = 4.303
Order of pole (six term test) = 8.134
TOP MAIN SOLVE Loop
x[1] = 2.99
y[1] (analytic) = 0
y[1] (numeric) = 4.7287880792744330436319614014343
absolute error = 4.7287880792744330436319614014343
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03762
Order of pole (three term test) = -27.94
Radius of convergence (six term test) for eq 1 = 4.303
Order of pole (six term test) = 8.107
TOP MAIN SOLVE Loop
x[1] = 3
y[1] (analytic) = 0
y[1] (numeric) = 4.7398535927912611819095230686327
absolute error = 4.7398535927912611819095230686327
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02752
Order of pole (three term test) = -27.54
Radius of convergence (six term test) for eq 1 = 4.303
Order of pole (six term test) = 8.081
TOP MAIN SOLVE Loop
x[1] = 3.01
y[1] (analytic) = 0
y[1] (numeric) = 4.7508434342157448657464535450269
absolute error = 4.7508434342157448657464535450269
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.01732
Order of pole (three term test) = -26.85
Radius of convergence (six term test) for eq 1 = 4.303
Order of pole (six term test) = 8.059
TOP MAIN SOLVE Loop
x[1] = 3.02
y[1] (analytic) = 0
y[1] (numeric) = 4.7617580180150909591900976309034
absolute error = 4.7617580180150909591900976309034
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.007242
Order of pole (three term test) = -25.9
Radius of convergence (six term test) for eq 1 = 4.303
Order of pole (six term test) = 8.04
TOP MAIN SOLVE Loop
x[1] = 3.03
y[1] (analytic) = 0
y[1] (numeric) = 4.7725977646824977484460569677604
absolute error = 4.7725977646824977484460569677604
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.304
Order of pole (six term test) = 8.023
TOP MAIN SOLVE Loop
x[1] = 3.04
y[1] (analytic) = 0
y[1] (numeric) = 4.7833631005401159493917662248865
absolute error = 4.7833631005401159493917662248865
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.306
Order of pole (six term test) = 8.01
TOP MAIN SOLVE Loop
bytes used=112032196, alloc=4717728, time=4.03
x[1] = 3.05
y[1] (analytic) = 0
y[1] (numeric) = 4.7940544575439103499490231100648
absolute error = 4.7940544575439103499490231100648
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.307
Order of pole (six term test) = 7.999
TOP MAIN SOLVE Loop
x[1] = 3.06
y[1] (analytic) = 0
y[1] (numeric) = 4.804672273090484359242883245206
absolute error = 4.804672273090484359242883245206
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.309
Order of pole (six term test) = 7.992
TOP MAIN SOLVE Loop
x[1] = 3.07
y[1] (analytic) = 0
y[1] (numeric) = 4.8152169898259269719561936523615
absolute error = 4.8152169898259269719561936523615
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.312
Order of pole (six term test) = 7.988
TOP MAIN SOLVE Loop
x[1] = 3.08
y[1] (analytic) = 0
y[1] (numeric) = 4.8256890554567389149858665863179
absolute error = 4.8256890554567389149858665863179
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.314
Order of pole (six term test) = 7.986
TOP MAIN SOLVE Loop
x[1] = 3.09
y[1] (analytic) = 0
y[1] (numeric) = 4.8360889225628920265925313122485
absolute error = 4.8360889225628920265925313122485
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.317
Order of pole (six term test) = 7.987
TOP MAIN SOLVE Loop
x[1] = 3.1
y[1] (analytic) = 0
y[1] (numeric) = 4.8464170484130732277899219278242
absolute error = 4.8464170484130732277899219278242
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.32
Order of pole (six term test) = 7.991
TOP MAIN SOLVE Loop
x[1] = 3.11
y[1] (analytic) = 0
y[1] (numeric) = 4.8566738947821617837314495698172
absolute error = 4.8566738947821617837314495698172
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.324
Order of pole (six term test) = 7.996
TOP MAIN SOLVE Loop
x[1] = 3.12
y[1] (analytic) = 0
y[1] (numeric) = 4.8668599277709859212128863287956
absolute error = 4.8668599277709859212128863287956
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.327
Order of pole (six term test) = 8.002
TOP MAIN SOLVE Loop
x[1] = 3.13
y[1] (analytic) = 0
y[1] (numeric) = 4.876975617628402268923080368511
absolute error = 4.876975617628402268923080368511
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.331
Order of pole (six term test) = 8.01
TOP MAIN SOLVE Loop
x[1] = 3.14
y[1] (analytic) = 0
y[1] (numeric) = 4.8870214385757390214477689634728
absolute error = 4.8870214385757390214477689634728
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.335
Order of pole (six term test) = 8.018
TOP MAIN SOLVE Loop
x[1] = 3.15
y[1] (analytic) = 0
y[1] (numeric) = 4.8969978686336411978815644404764
absolute error = 4.8969978686336411978815644404764
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.339
Order of pole (six term test) = 8.026
TOP MAIN SOLVE Loop
x[1] = 3.16
y[1] (analytic) = 0
y[1] (numeric) = 4.9069053894513538727555033275414
absolute error = 4.9069053894513538727555033275414
relative error = -1 %
Correct digits = -1
h = 0.01
bytes used=116033464, alloc=4717728, time=4.18
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.342
Order of pole (six term test) = 8.034
TOP MAIN SOLVE Loop
x[1] = 3.17
y[1] (analytic) = 0
y[1] (numeric) = 4.9167444861384768022771564698026
absolute error = 4.9167444861384768022771564698026
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.346
Order of pole (six term test) = 8.042
TOP MAIN SOLVE Loop
x[1] = 3.18
y[1] (analytic) = 0
y[1] (numeric) = 4.9265156470992214539526382784095
absolute error = 4.9265156470992214539526382784095
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.35
Order of pole (six term test) = 8.048
TOP MAIN SOLVE Loop
x[1] = 3.19
y[1] (analytic) = 0
y[1] (numeric) = 4.9362193638691990737718514362393
absolute error = 4.9362193638691990737718514362393
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.353
Order of pole (six term test) = 8.053
TOP MAIN SOLVE Loop
x[1] = 3.2
y[1] (analytic) = 0
y[1] (numeric) = 4.9458561309547660934595021555217
absolute error = 4.9458561309547660934595021555217
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.001555
Order of pole (three term test) = -0.8964
Radius of convergence (six term test) for eq 1 = 4.357
Order of pole (six term test) = 8.056
TOP MAIN SOLVE Loop
x[1] = 3.21
y[1] (analytic) = 0
y[1] (numeric) = 4.9554264456749508919082154177065
absolute error = 4.9554264456749508919082154177065
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.01152
Order of pole (three term test) = -1.076
Radius of convergence (six term test) for eq 1 = 4.36
Order of pole (six term test) = 8.057
TOP MAIN SOLVE Loop
x[1] = 3.22
y[1] (analytic) = 0
y[1] (numeric) = 4.964930808005983680815044709468
absolute error = 4.964930808005983680815044709468
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02185
Order of pole (three term test) = -1.524
Radius of convergence (six term test) for eq 1 = 4.362
Order of pole (six term test) = 8.055
TOP MAIN SOLVE Loop
x[1] = 3.23
y[1] (analytic) = 0
y[1] (numeric) = 4.9743697204284490856539784772207
absolute error = 4.9743697204284490856539784772207
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03235
Order of pole (three term test) = -2.233
Radius of convergence (six term test) for eq 1 = 4.365
Order of pole (six term test) = 8.05
TOP MAIN SOLVE Loop
x[1] = 3.24
y[1] (analytic) = 0
y[1] (numeric) = 4.9837436877770788402679634276144
absolute error = 4.9837436877770788402679634276144
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04284
Order of pole (three term test) = -3.19
Radius of convergence (six term test) for eq 1 = 4.367
Order of pole (six term test) = 8.042
TOP MAIN SOLVE Loop
x[1] = 3.25
y[1] (analytic) = 0
y[1] (numeric) = 4.9930532170931999073074320012598
absolute error = 4.9930532170931999073074320012598
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05312
Order of pole (three term test) = -4.379
Radius of convergence (six term test) for eq 1 = 4.369
Order of pole (six term test) = 8.031
TOP MAIN SOLVE Loop
x[1] = 3.26
y[1] (analytic) = 0
y[1] (numeric) = 5.0022988174798512781525954710347
absolute error = 5.0022988174798512781525954710347
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06303
Order of pole (three term test) = -5.777
Radius of convergence (six term test) for eq 1 = 4.37
Order of pole (six term test) = 8.017
TOP MAIN SOLVE Loop
x[1] = 3.27
y[1] (analytic) = 0
y[1] (numeric) = 5.0114809999595806954311339230173
absolute error = 5.0114809999595806954311339230173
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07238
Order of pole (three term test) = -7.36
Radius of convergence (six term test) for eq 1 = 4.372
Order of pole (six term test) = 7.999
TOP MAIN SOLVE Loop
bytes used=120034732, alloc=4717728, time=4.33
x[1] = 3.28
y[1] (analytic) = 0
y[1] (numeric) = 5.0206002773349305793034724434412
absolute error = 5.0206002773349305793034724434412
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08099
Order of pole (three term test) = -9.099
Radius of convergence (six term test) for eq 1 = 4.372
Order of pole (six term test) = 7.978
TOP MAIN SOLVE Loop
x[1] = 3.29
y[1] (analytic) = 0
y[1] (numeric) = 5.0296571640516205257833029252666
absolute error = 5.0296571640516205257833029252666
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08872
Order of pole (three term test) = -10.96
Radius of convergence (six term test) for eq 1 = 4.373
Order of pole (six term test) = 7.954
TOP MAIN SOLVE Loop
x[1] = 3.3
y[1] (analytic) = 0
y[1] (numeric) = 5.0386521760644318818686247260693
absolute error = 5.0386521760644318818686247260693
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.09541
Order of pole (three term test) = -12.92
Radius of convergence (six term test) for eq 1 = 4.373
Order of pole (six term test) = 7.927
TOP MAIN SOLVE Loop
x[1] = 3.31
y[1] (analytic) = 0
y[1] (numeric) = 5.0475858307057980884859955144659
absolute error = 5.0475858307057980884859955144659
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.101
Order of pole (three term test) = -14.93
Radius of convergence (six term test) for eq 1 = 4.373
Order of pole (six term test) = 7.897
TOP MAIN SOLVE Loop
x[1] = 3.32
y[1] (analytic) = 0
y[1] (numeric) = 5.0564586465571027184379554572087
absolute error = 5.0564586465571027184379554572087
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1052
Order of pole (three term test) = -16.95
Radius of convergence (six term test) for eq 1 = 4.372
Order of pole (six term test) = 7.865
TOP MAIN SOLVE Loop
x[1] = 3.33
y[1] (analytic) = 0
y[1] (numeric) = 5.0652711433226854228651458354878
absolute error = 5.0652711433226854228651458354878
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1082
Order of pole (three term test) = -18.96
Radius of convergence (six term test) for eq 1 = 4.372
Order of pole (six term test) = 7.83
TOP MAIN SOLVE Loop
x[1] = 3.34
y[1] (analytic) = 0
y[1] (numeric) = 5.074023841706554336301326051094
absolute error = 5.074023841706554336301326051094
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1097
Order of pole (three term test) = -20.9
Radius of convergence (six term test) for eq 1 = 4.371
Order of pole (six term test) = 7.793
TOP MAIN SOLVE Loop
x[1] = 3.35
y[1] (analytic) = 0
y[1] (numeric) = 5.0827172632918018772605939998933
absolute error = 5.0827172632918018772605939998933
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1097
Order of pole (three term test) = -22.75
Radius of convergence (six term test) for eq 1 = 4.37
Order of pole (six term test) = 7.754
TOP MAIN SOLVE Loop
x[1] = 3.36
y[1] (analytic) = 0
y[1] (numeric) = 5.0913519304227193184414495627402
absolute error = 5.0913519304227193184414495627402
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1083
Order of pole (three term test) = -24.46
Radius of convergence (six term test) for eq 1 = 4.368
Order of pole (six term test) = 7.715
TOP MAIN SOLVE Loop
x[1] = 3.37
y[1] (analytic) = 0
y[1] (numeric) = 5.0999283660896039879943311053647
absolute error = 5.0999283660896039879943311053647
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1055
Order of pole (three term test) = -26.01
Radius of convergence (six term test) for eq 1 = 4.367
Order of pole (six term test) = 7.674
TOP MAIN SOLVE Loop
x[1] = 3.38
y[1] (analytic) = 0
y[1] (numeric) = 5.1084470938162515007550229182182
absolute error = 5.1084470938162515007550229182182
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1013
Order of pole (three term test) = -27.36
Radius of convergence (six term test) for eq 1 = 4.366
Order of pole (six term test) = 7.633
TOP MAIN SOLVE Loop
bytes used=124035976, alloc=4717728, time=4.47
x[1] = 3.39
y[1] (analytic) = 0
y[1] (numeric) = 5.1169086375501240057198030141213
absolute error = 5.1169086375501240057198030141213
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.09583
Order of pole (three term test) = -28.49
Radius of convergence (six term test) for eq 1 = 4.365
Order of pole (six term test) = 7.593
TOP MAIN SOLVE Loop
x[1] = 3.4
y[1] (analytic) = 0
y[1] (numeric) = 5.1253135215551840731022095236697
absolute error = 5.1253135215551840731022095236697
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08912
Order of pole (three term test) = -29.37
Radius of convergence (six term test) for eq 1 = 4.363
Order of pole (six term test) = 7.553
TOP MAIN SOLVE Loop
x[1] = 3.41
y[1] (analytic) = 0
y[1] (numeric) = 5.1336622703073825307896970263359
absolute error = 5.1336622703073825307896970263359
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08133
Order of pole (three term test) = -29.99
Radius of convergence (six term test) for eq 1 = 4.362
Order of pole (six term test) = 7.513
TOP MAIN SOLVE Loop
x[1] = 3.42
y[1] (analytic) = 0
y[1] (numeric) = 5.141955408392787295588191970534
absolute error = 5.141955408392787295588191970534
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07261
Order of pole (three term test) = -30.33
Radius of convergence (six term test) for eq 1 = 4.361
Order of pole (six term test) = 7.476
TOP MAIN SOLVE Loop
x[1] = 3.43
y[1] (analytic) = 0
y[1] (numeric) = 5.1501934604083390289358054889729
absolute error = 5.1501934604083390289358054889729
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06313
Order of pole (three term test) = -30.39
Radius of convergence (six term test) for eq 1 = 4.361
Order of pole (six term test) = 7.44
TOP MAIN SOLVE Loop
x[1] = 3.44
y[1] (analytic) = 0
y[1] (numeric) = 5.158376950865218279373176768998
absolute error = 5.158376950865218279373176768998
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05308
Order of pole (three term test) = -30.17
Radius of convergence (six term test) for eq 1 = 4.36
Order of pole (six term test) = 7.406
TOP MAIN SOLVE Loop
x[1] = 3.45
y[1] (analytic) = 0
y[1] (numeric) = 5.1665064040948076545259100596898
absolute error = 5.1665064040948076545259100596898
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04264
Order of pole (three term test) = -29.68
Radius of convergence (six term test) for eq 1 = 4.36
Order of pole (six term test) = 7.375
TOP MAIN SOLVE Loop
x[1] = 3.46
y[1] (analytic) = 0
y[1] (numeric) = 5.1745823441572314931945477010159
absolute error = 5.1745823441572314931945477010159
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03201
Order of pole (three term test) = -28.91
Radius of convergence (six term test) for eq 1 = 4.36
Order of pole (six term test) = 7.346
TOP MAIN SOLVE Loop
x[1] = 3.47
y[1] (analytic) = 0
y[1] (numeric) = 5.1826052947524544828331392504052
absolute error = 5.1826052947524544828331392504052
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02141
Order of pole (three term test) = -27.9
Radius of convergence (six term test) for eq 1 = 4.361
Order of pole (six term test) = 7.32
TOP MAIN SOLVE Loop
x[1] = 3.48
y[1] (analytic) = 0
y[1] (numeric) = 5.1905757791339196886678134063176
absolute error = 5.1905757791339196886678134063176
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.01103
Order of pole (three term test) = -26.65
Radius of convergence (six term test) for eq 1 = 4.362
Order of pole (six term test) = 7.298
TOP MAIN SOLVE Loop
x[1] = 3.49
y[1] (analytic) = 0
y[1] (numeric) = 5.198494320024705527368348480212
absolute error = 5.198494320024705527368348480212
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.001062
Order of pole (three term test) = -25.21
Radius of convergence (six term test) for eq 1 = 4.363
Order of pole (six term test) = 7.278
TOP MAIN SOLVE Loop
bytes used=128037060, alloc=4717728, time=4.62
x[1] = 3.5
y[1] (analytic) = 0
y[1] (numeric) = 5.2063614395361803299144586508849
absolute error = 5.2063614395361803299144586508849
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.365
Order of pole (six term test) = 7.262
TOP MAIN SOLVE Loop
x[1] = 3.51
y[1] (analytic) = 0
y[1] (numeric) = 5.2141776590891322944415571473196
absolute error = 5.2141776590891322944415571473196
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.367
Order of pole (six term test) = 7.25
TOP MAIN SOLVE Loop
x[1] = 3.52
y[1] (analytic) = 0
y[1] (numeric) = 5.2219434993373518297285051657412
absolute error = 5.2219434993373518297285051657412
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.369
Order of pole (six term test) = 7.24
TOP MAIN SOLVE Loop
x[1] = 3.53
y[1] (analytic) = 0
y[1] (numeric) = 5.2296594800936425328977365958464
absolute error = 5.2296594800936425328977365958464
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.372
Order of pole (six term test) = 7.233
TOP MAIN SOLVE Loop
x[1] = 3.54
y[1] (analytic) = 0
y[1] (numeric) = 5.2373261202582363301084632583029
absolute error = 5.2373261202582363301084632583029
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.375
Order of pole (six term test) = 7.228
TOP MAIN SOLVE Loop
x[1] = 3.55
y[1] (analytic) = 0
y[1] (numeric) = 5.2449439377495876357873667900937
absolute error = 5.2449439377495876357873667900937
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.379
Order of pole (six term test) = 7.226
TOP MAIN SOLVE Loop
x[1] = 3.56
y[1] (analytic) = 0
y[1] (numeric) = 5.2525134494375207534896234977202
absolute error = 5.2525134494375207534896234977202
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.382
Order of pole (six term test) = 7.225
TOP MAIN SOLVE Loop
x[1] = 3.57
y[1] (analytic) = 0
y[1] (numeric) = 5.260035171078704149029742270359
absolute error = 5.260035171078704149029742270359
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.386
Order of pole (six term test) = 7.225
TOP MAIN SOLVE Loop
x[1] = 3.58
y[1] (analytic) = 0
y[1] (numeric) = 5.2675096172544246732637435406996
absolute error = 5.2675096172544246732637435406996
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.389
Order of pole (six term test) = 7.225
TOP MAIN SOLVE Loop
x[1] = 3.59
y[1] (analytic) = 0
y[1] (numeric) = 5.2749373013106342970242756269634
absolute error = 5.2749373013106342970242756269634
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.393
Order of pole (six term test) = 7.224
TOP MAIN SOLVE Loop
x[1] = 3.6
y[1] (analytic) = 0
y[1] (numeric) = 5.2823187353002414433779221364196
absolute error = 5.2823187353002414433779221364196
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.396
Order of pole (six term test) = 7.221
TOP MAIN SOLVE Loop
x[1] = 3.61
y[1] (analytic) = 0
y[1] (numeric) = 5.2896544299276185617472631643286
absolute error = 5.2896544299276185617472631643286
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.399
Order of pole (six term test) = 7.216
bytes used=132038668, alloc=4717728, time=4.77
TOP MAIN SOLVE Loop
x[1] = 3.62
y[1] (analytic) = 0
y[1] (numeric) = 5.2969448944952971836672573542893
absolute error = 5.2969448944952971836672573542893
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.402
Order of pole (six term test) = 7.207
TOP MAIN SOLVE Loop
x[1] = 3.63
y[1] (analytic) = 0
y[1] (numeric) = 5.3041906368528213301656768251916
absolute error = 5.3041906368528213301656768251916
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.404
Order of pole (six term test) = 7.192
TOP MAIN SOLVE Loop
x[1] = 3.64
y[1] (analytic) = 0
y[1] (numeric) = 5.3113921633477298051029341860115
absolute error = 5.3113921633477298051029341860115
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.405
Order of pole (six term test) = 7.17
TOP MAIN SOLVE Loop
x[1] = 3.65
y[1] (analytic) = 0
y[1] (numeric) = 5.3185499787786376064041362607174
absolute error = 5.3185499787786376064041362607174
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.405
Order of pole (six term test) = 7.141
TOP MAIN SOLVE Loop
x[1] = 3.66
y[1] (analytic) = 0
y[1] (numeric) = 5.3256645863503864170874938153675
absolute error = 5.3256645863503864170874938153675
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.404
Order of pole (six term test) = 7.101
TOP MAIN SOLVE Loop
x[1] = 3.67
y[1] (analytic) = 0
y[1] (numeric) = 5.332736487631233899456940579996
absolute error = 5.332736487631233899456940579996
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.009532
Order of pole (three term test) = -1.009
Radius of convergence (six term test) for eq 1 = 4.402
Order of pole (six term test) = 7.05
TOP MAIN SOLVE Loop
x[1] = 3.68
y[1] (analytic) = 0
y[1] (numeric) = 5.3397661825120513078995238189577
absolute error = 5.3397661825120513078995238189577
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02
Order of pole (three term test) = -1.378
Radius of convergence (six term test) for eq 1 = 4.398
Order of pole (six term test) = 6.986
TOP MAIN SOLVE Loop
x[1] = 3.69
y[1] (analytic) = 0
y[1] (numeric) = 5.3467541691674987575254632134679
absolute error = 5.3467541691674987575254632134679
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03084
Order of pole (three term test) = -1.993
Radius of convergence (six term test) for eq 1 = 4.393
Order of pole (six term test) = 6.907
TOP MAIN SOLVE Loop
x[1] = 3.7
y[1] (analytic) = 0
y[1] (numeric) = 5.353700944019147336526572718641
absolute error = 5.353700944019147336526572718641
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0419
Order of pole (three term test) = -2.845
Radius of convergence (six term test) for eq 1 = 4.385
Order of pole (six term test) = 6.812
TOP MAIN SOLVE Loop
x[1] = 3.71
y[1] (analytic) = 0
y[1] (numeric) = 5.3606070017005171287241018132256
absolute error = 5.3606070017005171287241018132256
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05302
Order of pole (three term test) = -3.922
Radius of convergence (six term test) for eq 1 = 4.375
Order of pole (six term test) = 6.7
TOP MAIN SOLVE Loop
x[1] = 3.72
y[1] (analytic) = 0
y[1] (numeric) = 5.3674728350240001184493599985401
absolute error = 5.3674728350240001184493599985401
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06402
Order of pole (three term test) = -5.207
Radius of convergence (six term test) for eq 1 = 4.363
Order of pole (six term test) = 6.568
TOP MAIN SOLVE Loop
bytes used=136040100, alloc=4717728, time=4.92
x[1] = 3.73
y[1] (analytic) = 0
y[1] (numeric) = 5.3742989349496368817723771180817
absolute error = 5.3742989349496368817723771180817
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07475
Order of pole (three term test) = -6.682
Radius of convergence (six term test) for eq 1 = 4.349
Order of pole (six term test) = 6.415
TOP MAIN SOLVE Loop
x[1] = 3.74
y[1] (analytic) = 0
y[1] (numeric) = 5.3810857905557159252921379310358
absolute error = 5.3810857905557159252921379310358
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08504
Order of pole (three term test) = -8.325
Radius of convergence (six term test) for eq 1 = 4.332
Order of pole (six term test) = 6.241
TOP MAIN SOLVE Loop
x[1] = 3.75
y[1] (analytic) = 0
y[1] (numeric) = 5.3878338890111645153584896018065
absolute error = 5.3878338890111645153584896018065
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.09475
Order of pole (three term test) = -10.11
Radius of convergence (six term test) for eq 1 = 4.312
Order of pole (six term test) = 6.045
TOP MAIN SOLVE Loop
x[1] = 3.76
y[1] (analytic) = 0
y[1] (numeric) = 5.3945437155496998458484301123851
absolute error = 5.3945437155496998458484301123851
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1037
Order of pole (three term test) = -12.01
Radius of convergence (six term test) for eq 1 = 4.289
Order of pole (six term test) = 5.826
TOP MAIN SOLVE Loop
x[1] = 3.77
y[1] (analytic) = 0
y[1] (numeric) = 5.4012157534457094206126082177004
absolute error = 5.4012157534457094206126082177004
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1118
Order of pole (three term test) = -14
Radius of convergence (six term test) for eq 1 = 4.263
Order of pole (six term test) = 5.584
TOP MAIN SOLVE Loop
x[1] = 3.78
y[1] (analytic) = 0
y[1] (numeric) = 5.4078504839918295765934032247303
absolute error = 5.4078504839918295765934032247303
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1189
Order of pole (three term test) = -16.04
Radius of convergence (six term test) for eq 1 = 4.233
Order of pole (six term test) = 5.319
TOP MAIN SOLVE Loop
x[1] = 3.79
y[1] (analytic) = 0
y[1] (numeric) = 5.4144483864781911445539502545882
absolute error = 5.4144483864781911445539502545882
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1248
Order of pole (three term test) = -18.11
Radius of convergence (six term test) for eq 1 = 4.201
Order of pole (six term test) = 5.031
TOP MAIN SOLVE Loop
x[1] = 3.8
y[1] (analytic) = 0
y[1] (numeric) = 5.4210099381733013355167843600201
absolute error = 5.4210099381733013355167843600201
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1296
Order of pole (three term test) = -20.17
Radius of convergence (six term test) for eq 1 = 4.166
Order of pole (six term test) = 4.722
TOP MAIN SOLVE Loop
x[1] = 3.81
y[1] (analytic) = 0
y[1] (numeric) = 5.4275356143065310515696731131368
absolute error = 5.4275356143065310515696731131368
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.133
Order of pole (three term test) = -22.19
Radius of convergence (six term test) for eq 1 = 4.128
Order of pole (six term test) = 4.393
TOP MAIN SOLVE Loop
x[1] = 3.82
y[1] (analytic) = 0
y[1] (numeric) = 5.4340258880521769488429788546885
absolute error = 5.4340258880521769488429788546885
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1351
Order of pole (three term test) = -24.14
Radius of convergence (six term test) for eq 1 = 4.087
Order of pole (six term test) = 4.046
TOP MAIN SOLVE Loop
x[1] = 3.83
y[1] (analytic) = 0
y[1] (numeric) = 5.440481230515067727396375419537
absolute error = 5.440481230515067727396375419537
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1358
Order of pole (three term test) = -25.98
Radius of convergence (six term test) for eq 1 = 4.043
Order of pole (six term test) = 3.682
TOP MAIN SOLVE Loop
bytes used=140041228, alloc=4717728, time=5.06
x[1] = 3.84
y[1] (analytic) = 0
y[1] (numeric) = 5.4469021107176842866828288988075
absolute error = 5.4469021107176842866828288988075
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1351
Order of pole (three term test) = -27.68
Radius of convergence (six term test) for eq 1 = 3.997
Order of pole (six term test) = 3.304
TOP MAIN SOLVE Loop
x[1] = 3.85
y[1] (analytic) = 0
y[1] (numeric) = 5.4532889955887635654058438411236
absolute error = 5.4532889955887635654058438411236
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.133
Order of pole (three term test) = -29.23
Radius of convergence (six term test) for eq 1 = 3.949
Order of pole (six term test) = 2.915
TOP MAIN SOLVE Loop
x[1] = 3.86
y[1] (analytic) = 0
y[1] (numeric) = 5.4596423499533560801854256680652
absolute error = 5.4596423499533560801854256680652
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1296
Order of pole (three term test) = -30.59
Radius of convergence (six term test) for eq 1 = 3.899
Order of pole (six term test) = 2.517
TOP MAIN SOLVE Loop
x[1] = 3.87
y[1] (analytic) = 0
y[1] (numeric) = 5.4659626365243073877447034395202
absolute error = 5.4659626365243073877447034395202
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1248
Order of pole (three term test) = -31.73
Radius of convergence (six term test) for eq 1 = 3.847
Order of pole (six term test) = 2.114
TOP MAIN SOLVE Loop
x[1] = 3.88
y[1] (analytic) = 0
y[1] (numeric) = 5.472250315895133919581073480798
absolute error = 5.472250315895133919581073480798
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1187
Order of pole (three term test) = -32.65
Radius of convergence (six term test) for eq 1 = 3.794
Order of pole (six term test) = 1.707
TOP MAIN SOLVE Loop
x[1] = 3.89
y[1] (analytic) = 0
y[1] (numeric) = 5.4785058465342638755644579160099
absolute error = 5.4785058465342638755644579160099
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1115
Order of pole (three term test) = -33.32
Radius of convergence (six term test) for eq 1 = 3.74
Order of pole (six term test) = 1.301
TOP MAIN SOLVE Loop
x[1] = 3.9
y[1] (analytic) = 0
y[1] (numeric) = 5.4847296847806141128955216496837
absolute error = 5.4847296847806141128955216496837
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1033
Order of pole (three term test) = -33.74
Radius of convergence (six term test) for eq 1 = 3.685
Order of pole (six term test) = 0.8976
TOP MAIN SOLVE Loop
x[1] = 3.91
y[1] (analytic) = 0
y[1] (numeric) = 5.4909222848404742286567178748727
absolute error = 5.4909222848404742286567178748727
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.09414
Order of pole (three term test) = -33.9
Radius of convergence (six term test) for eq 1 = 3.631
Order of pole (six term test) = 0.5
TOP MAIN SOLVE Loop
x[1] = 3.92
y[1] (analytic) = 0
y[1] (numeric) = 5.4970840987856693071108857806957
absolute error = 5.4970840987856693071108857806957
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08424
Order of pole (three term test) = -33.8
Radius of convergence (six term test) for eq 1 = 3.577
Order of pole (six term test) = 0.1105
TOP MAIN SOLVE Loop
x[1] = 3.93
y[1] (analytic) = 0
y[1] (numeric) = 5.5032155765529730862718405572087
absolute error = 5.5032155765529730862718405572087
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07374
Order of pole (three term test) = -33.43
Radius of convergence (six term test) for eq 1 = 3.523
Order of pole (six term test) = -0.2683
TOP MAIN SOLVE Loop
x[1] = 3.94
y[1] (analytic) = 0
y[1] (numeric) = 5.5093171659447435914291645569801
absolute error = 5.5093171659447435914291645569801
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06281
Order of pole (three term test) = -32.82
Radius of convergence (six term test) for eq 1 = 3.471
Order of pole (six term test) = -0.6344
TOP MAIN SOLVE Loop
x[1] = 3.95
y[1] (analytic) = 0
y[1] (numeric) = 5.5153893126307535856097130183107
absolute error = 5.5153893126307535856097130183107
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05163
Order of pole (three term test) = -31.95
Radius of convergence (six term test) for eq 1 = 3.42
Order of pole (six term test) = -0.9859
bytes used=144044340, alloc=4717728, time=5.21
TOP MAIN SOLVE Loop
x[1] = 3.96
y[1] (analytic) = 0
y[1] (numeric) = 5.5214324601511884977700789549944
absolute error = 5.5214324601511884977700789549944
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04037
Order of pole (three term test) = -30.87
Radius of convergence (six term test) for eq 1 = 3.37
Order of pole (six term test) = -1.321
TOP MAIN SOLVE Loop
x[1] = 3.97
y[1] (analytic) = 0
y[1] (numeric) = 5.5274470499207848082208057669435
absolute error = 5.5274470499207848082208057669435
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02922
Order of pole (three term test) = -29.57
Radius of convergence (six term test) for eq 1 = 3.323
Order of pole (six term test) = -1.639
TOP MAIN SOLVE Loop
x[1] = 3.98
y[1] (analytic) = 0
y[1] (numeric) = 5.5334335212340821967824373097826
absolute error = 5.5334335212340821967824373097826
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.01834
Order of pole (three term test) = -28.09
Radius of convergence (six term test) for eq 1 = 3.278
Order of pole (six term test) = -1.938
TOP MAIN SOLVE Loop
x[1] = 3.99
y[1] (analytic) = 0
y[1] (numeric) = 5.5393923112717630918780960178755
absolute error = 5.5393923112717630918780960178755
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.007903
Order of pole (three term test) = -26.45
Radius of convergence (six term test) for eq 1 = 3.235
Order of pole (six term test) = -2.217
TOP MAIN SOLVE Loop
x[1] = 4
y[1] (analytic) = 0
y[1] (numeric) = 5.5453238551080535976043375858278
absolute error = 5.5453238551080535976043375858278
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 3.196
Order of pole (six term test) = -2.475
TOP MAIN SOLVE Loop
x[1] = 4.01
y[1] (analytic) = 0
y[1] (numeric) = 5.5512285857191601202333134382003
absolute error = 5.5512285857191601202333134382003
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 3.16
Order of pole (six term test) = -2.712
TOP MAIN SOLVE Loop
x[1] = 4.02
y[1] (analytic) = 0
y[1] (numeric) = 5.5571069339927163650411327813208
absolute error = 5.5571069339927163650411327813208
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 3.127
Order of pole (six term test) = -2.928
TOP MAIN SOLVE Loop
x[1] = 4.03
y[1] (analytic) = 0
y[1] (numeric) = 5.5629593287382157283006480602054
absolute error = 5.5629593287382157283006480602054
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 3.097
Order of pole (six term test) = -3.121
TOP MAIN SOLVE Loop
x[1] = 4.04
y[1] (analytic) = 0
y[1] (numeric) = 5.5687861966984044672070621273803
absolute error = 5.5687861966984044672070621273803
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 3.071
Order of pole (six term test) = -3.291
TOP MAIN SOLVE Loop
x[1] = 4.05
y[1] (analytic) = 0
y[1] (numeric) = 5.5745879625616113919215398831288
absolute error = 5.5745879625616113919215398831288
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 3.05
Order of pole (six term test) = -3.438
TOP MAIN SOLVE Loop
x[1] = 4.06
y[1] (analytic) = 0
y[1] (numeric) = 5.5803650489749901883354681156423
absolute error = 5.5803650489749901883354681156423
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 3.032
Order of pole (six term test) = -3.562
TOP MAIN SOLVE Loop
bytes used=148045308, alloc=4717728, time=5.35
x[1] = 4.07
y[1] (analytic) = 0
y[1] (numeric) = 5.5861178765586508471043971260529
absolute error = 5.5861178765586508471043971260529
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 3.019
Order of pole (six term test) = -3.663
TOP MAIN SOLVE Loop
x[1] = 4.08
y[1] (analytic) = 0
y[1] (numeric) = 5.5918468639206570435183266540284
absolute error = 5.5918468639206570435183266540284
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 3.01
Order of pole (six term test) = -3.739
TOP MAIN SOLVE Loop
x[1] = 4.09
y[1] (analytic) = 0
y[1] (numeric) = 5.5975524276728666834200927170343
absolute error = 5.5975524276728666834200927170343
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 3.005
Order of pole (six term test) = -3.791
TOP MAIN SOLVE Loop
x[1] = 4.1
y[1] (analytic) = 0
y[1] (numeric) = 5.603234982447593202226158308886
absolute error = 5.603234982447593202226158308886
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 3.005
Order of pole (six term test) = -3.818
TOP MAIN SOLVE Loop
x[1] = 4.11
y[1] (analytic) = 0
y[1] (numeric) = 5.6088949409150655767276904251628
absolute error = 5.6088949409150655767276904251628
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 3.01
Order of pole (six term test) = -3.82
TOP MAIN SOLVE Loop
x[1] = 4.12
y[1] (analytic) = 0
y[1] (numeric) = 5.6145327138016653823514150254472
absolute error = 5.6145327138016653823514150254472
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 3.019
Order of pole (six term test) = -3.797
TOP MAIN SOLVE Loop
x[1] = 4.13
y[1] (analytic) = 0
y[1] (numeric) = 5.6201487099089196015496033042181
absolute error = 5.6201487099089196015496033042181
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 3.033
Order of pole (six term test) = -3.749
TOP MAIN SOLVE Loop
x[1] = 4.14
y[1] (analytic) = 0
y[1] (numeric) = 5.6257433361332282615899079816467
absolute error = 5.6257433361332282615899079816467
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 3.051
Order of pole (six term test) = -3.677
TOP MAIN SOLVE Loop
x[1] = 4.15
y[1] (analytic) = 0
y[1] (numeric) = 5.6313169974863063518647086280806
absolute error = 5.6313169974863063518647086280806
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 3.074
Order of pole (six term test) = -3.583
TOP MAIN SOLVE Loop
x[1] = 4.16
y[1] (analytic) = 0
y[1] (numeric) = 5.6368700971163198415848164169347
absolute error = 5.6368700971163198415848164169347
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 3.099
Order of pole (six term test) = -3.468
TOP MAIN SOLVE Loop
x[1] = 4.17
y[1] (analytic) = 0
y[1] (numeric) = 5.6424030363296959880248888755019
absolute error = 5.6424030363296959880248888755019
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.002571
Order of pole (three term test) = -0.9011
Radius of convergence (six term test) for eq 1 = 3.127
Order of pole (six term test) = -3.337
TOP MAIN SOLVE Loop
bytes used=152046448, alloc=4717728, time=5.50
x[1] = 4.18
y[1] (analytic) = 0
y[1] (numeric) = 5.6479162146135884930209236390656
absolute error = 5.6479162146135884930209236390656
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.01275
Order of pole (three term test) = -1.081
Radius of convergence (six term test) for eq 1 = 3.156
Order of pole (six term test) = -3.196
TOP MAIN SOLVE Loop
x[1] = 4.19
y[1] (analytic) = 0
y[1] (numeric) = 5.6534100296589784308688622529742
absolute error = 5.6534100296589784308688622529742
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0235
Order of pole (three term test) = -1.494
Radius of convergence (six term test) for eq 1 = 3.184
Order of pole (six term test) = -3.055
TOP MAIN SOLVE Loop
x[1] = 4.2
y[1] (analytic) = 0
y[1] (numeric) = 5.6588848773843922338344406916113
absolute error = 5.6588848773843922338344406916113
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0347
Order of pole (three term test) = -2.134
Radius of convergence (six term test) for eq 1 = 3.209
Order of pole (six term test) = -2.929
TOP MAIN SOLVE Loop
x[1] = 4.21
y[1] (analytic) = 0
y[1] (numeric) = 5.6643411519602183818662011451366
absolute error = 5.6643411519602183818662011451366
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04618
Order of pole (three term test) = -2.994
Radius of convergence (six term test) for eq 1 = 3.226
Order of pole (six term test) = -2.834
TOP MAIN SOLVE Loop
x[1] = 4.22
y[1] (analytic) = 0
y[1] (numeric) = 5.6697792458336048005254370928773
absolute error = 5.6697792458336048005254370928773
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05779
Order of pole (three term test) = -4.06
Radius of convergence (six term test) for eq 1 = 3.233
Order of pole (six term test) = -2.795
TOP MAIN SOLVE Loop
x[1] = 4.23
y[1] (analytic) = 0
y[1] (numeric) = 5.6751995497539193253391132013599
absolute error = 5.6751995497539193253391132013599
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06937
Order of pole (three term test) = -5.318
Radius of convergence (six term test) for eq 1 = 3.223
Order of pole (six term test) = -2.836
TOP MAIN SOLVE Loop
x[1] = 4.24
y[1] (analytic) = 0
y[1] (numeric) = 5.6806024527987559414854843358549
absolute error = 5.6806024527987559414854843358549
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08074
Order of pole (three term test) = -6.751
Radius of convergence (six term test) for eq 1 = 3.193
Order of pole (six term test) = -2.985
TOP MAIN SOLVE Loop
x[1] = 4.25
y[1] (analytic) = 0
y[1] (numeric) = 5.6859883424004698546886450908449
absolute error = 5.6859883424004698546886450908449
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.09174
Order of pole (three term test) = -8.337
Radius of convergence (six term test) for eq 1 = 3.137
Order of pole (six term test) = -3.262
TOP MAIN SOLVE Loop
x[1] = 4.26
y[1] (analytic) = 0
y[1] (numeric) = 5.691357604373224792189133249644
absolute error = 5.691357604373224792189133249644
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1022
Order of pole (three term test) = -10.05
Radius of convergence (six term test) for eq 1 = 3.054
Order of pole (six term test) = -3.676
TOP MAIN SOLVE Loop
x[1] = 4.27
y[1] (analytic) = 0
y[1] (numeric) = 5.6967106229405362714444355398554
absolute error = 5.6967106229405362714444355398554
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.112
Order of pole (three term test) = -11.87
Radius of convergence (six term test) for eq 1 = 2.941
Order of pole (six term test) = -4.221
TOP MAIN SOLVE Loop
x[1] = 4.28
y[1] (analytic) = 0
y[1] (numeric) = 5.7020477807632949085768749299668
absolute error = 5.7020477807632949085768749299668
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1209
Order of pole (three term test) = -13.77
Radius of convergence (six term test) for eq 1 = 2.802
Order of pole (six term test) = -4.871
TOP MAIN SOLVE Loop
x[1] = 4.29
y[1] (analytic) = 0
y[1] (numeric) = 5.7073694589682541683173304493251
absolute error = 5.7073694589682541683173304493251
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1288
Order of pole (three term test) = -15.72
Radius of convergence (six term test) for eq 1 = 2.641
Order of pole (six term test) = -5.59
TOP MAIN SOLVE Loop
bytes used=156047724, alloc=4717728, time=5.65
x[1] = 4.3
y[1] (analytic) = 0
y[1] (numeric) = 5.712676037176967282091087219387
absolute error = 5.712676037176967282091087219387
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1357
Order of pole (three term test) = -17.68
Radius of convergence (six term test) for eq 1 = 2.465
Order of pole (six term test) = -6.333
TOP MAIN SOLVE Loop
x[1] = 4.31
y[1] (analytic) = 0
y[1] (numeric) = 5.7179678935351583807652071399033
absolute error = 5.7179678935351583807652071399033
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1413
Order of pole (three term test) = -19.63
Radius of convergence (six term test) for eq 1 = 2.28
Order of pole (six term test) = -7.061
TOP MAIN SOLVE Loop
x[1] = 4.32
y[1] (analytic) = 0
y[1] (numeric) = 5.7232454047425132032420963363907
absolute error = 5.7232454047425132032420963363907
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1455
Order of pole (three term test) = -21.54
Radius of convergence (six term test) for eq 1 = 2.095
Order of pole (six term test) = -7.741
TOP MAIN SOLVE Loop
x[1] = 4.33
y[1] (analytic) = 0
y[1] (numeric) = 5.7285089460828750513666868896316
absolute error = 5.7285089460828750513666868896316
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1484
Order of pole (three term test) = -23.38
Radius of convergence (six term test) for eq 1 = 1.914
Order of pole (six term test) = -8.356
TOP MAIN SOLVE Loop
x[1] = 4.34
y[1] (analytic) = 0
y[1] (numeric) = 5.7337588914548319653481683696915
absolute error = 5.7337588914548319653481683696915
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1499
Order of pole (three term test) = -25.11
Radius of convergence (six term test) for eq 1 = 1.741
Order of pole (six term test) = -8.895
TOP MAIN SOLVE Loop
x[1] = 4.35
y[1] (analytic) = 0
y[1] (numeric) = 5.7389956134026813919226222705118
absolute error = 5.7389956134026813919226222705118
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1499
Order of pole (three term test) = -26.72
Radius of convergence (six term test) for eq 1 = 1.579
Order of pole (six term test) = -9.359
TOP MAIN SOLVE Loop
x[1] = 4.36
y[1] (analytic) = 0
y[1] (numeric) = 5.7442194831477589096489013797976
absolute error = 5.7442194831477589096489013797976
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1485
Order of pole (three term test) = -28.18
Radius of convergence (six term test) for eq 1 = 1.429
Order of pole (six term test) = -9.752
TOP MAIN SOLVE Loop
x[1] = 4.37
y[1] (analytic) = 0
y[1] (numeric) = 5.7494308706201178618926265172058
absolute error = 5.7494308706201178618926265172058
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1457
Order of pole (three term test) = -29.48
Radius of convergence (six term test) for eq 1 = 1.292
Order of pole (six term test) = -10.08
TOP MAIN SOLVE Loop
x[1] = 4.38
y[1] (analytic) = 0
y[1] (numeric) = 5.7546301444905470280752659662938
absolute error = 5.7546301444905470280752659662938
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1415
Order of pole (three term test) = -30.58
Radius of convergence (six term test) for eq 1 = 1.167
Order of pole (six term test) = -10.36
TOP MAIN SOLVE Loop
x[1] = 4.39
y[1] (analytic) = 0
y[1] (numeric) = 5.7598176722029137375167463700452
absolute error = 5.7598176722029137375167463700452
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1361
Order of pole (three term test) = -31.49
Radius of convergence (six term test) for eq 1 = 1.055
Order of pole (six term test) = -10.58
TOP MAIN SOLVE Loop
x[1] = 4.4
y[1] (analytic) = 0
y[1] (numeric) = 5.7649938200068200975573127470773
absolute error = 5.7649938200068200975573127470773
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1295
Order of pole (three term test) = -32.2
Radius of convergence (six term test) for eq 1 = 0.9552
Order of pole (six term test) = -10.77
TOP MAIN SOLVE Loop
bytes used=160048504, alloc=4717728, time=5.80
x[1] = 4.41
y[1] (analytic) = 0
y[1] (numeric) = 5.7701589529905602684901351450593
absolute error = 5.7701589529905602684901351450593
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1219
Order of pole (three term test) = -32.69
Radius of convergence (six term test) for eq 1 = 0.8659
Order of pole (six term test) = -10.93
TOP MAIN SOLVE Loop
x[1] = 4.42
y[1] (analytic) = 0
y[1] (numeric) = 5.7753134351143669720592744996905
absolute error = 5.7753134351143669720592744996905
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1133
Order of pole (three term test) = -32.98
Radius of convergence (six term test) for eq 1 = 0.787
Order of pole (six term test) = -11.05
TOP MAIN SOLVE Loop
x[1] = 4.43
y[1] (analytic) = 0
y[1] (numeric) = 5.7804576292439356677727659634558
absolute error = 5.7804576292439356677727659634558
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.1039
Order of pole (three term test) = -33.05
Radius of convergence (six term test) for eq 1 = 0.7178
Order of pole (six term test) = -11.16
TOP MAIN SOLVE Loop
x[1] = 4.44
y[1] (analytic) = 0
y[1] (numeric) = 5.7855918971842150719480982451971
absolute error = 5.7855918971842150719480982451971
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.09393
Order of pole (three term test) = -32.93
Radius of convergence (six term test) for eq 1 = 0.6579
Order of pole (six term test) = -11.25
TOP MAIN SOLVE Loop
x[1] = 4.45
y[1] (analytic) = 0
y[1] (numeric) = 5.7907165997134529281530369618555
absolute error = 5.7907165997134529281530369618555
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.08344
Order of pole (three term test) = -32.62
Radius of convergence (six term test) for eq 1 = 0.6067
Order of pole (six term test) = -11.32
TOP MAIN SOLVE Loop
x[1] = 4.46
y[1] (analytic) = 0
y[1] (numeric) = 5.7958320966174861644395512235286
absolute error = 5.7958320966174861644395512235286
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.07259
Order of pole (three term test) = -32.12
Radius of convergence (six term test) for eq 1 = 0.5638
Order of pole (six term test) = -11.39
TOP MAIN SOLVE Loop
x[1] = 4.47
y[1] (analytic) = 0
y[1] (numeric) = 5.8009387467242647924085588255036
absolute error = 5.8009387467242647924085588255036
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.06152
Order of pole (three term test) = -31.46
Radius of convergence (six term test) for eq 1 = 0.5289
Order of pole (six term test) = -11.44
TOP MAIN SOLVE Loop
x[1] = 4.48
y[1] (analytic) = 0
y[1] (numeric) = 5.8060369079385991156091183941127
absolute error = 5.8060369079385991156091183941127
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05038
Order of pole (three term test) = -30.64
Radius of convergence (six term test) for eq 1 = 0.5015
Order of pole (six term test) = -11.48
TOP MAIN SOLVE Loop
x[1] = 4.49
y[1] (analytic) = 0
y[1] (numeric) = 5.811126937277120019992991007065
absolute error = 5.811126937277120019992991007065
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03929
Order of pole (three term test) = -29.68
Radius of convergence (six term test) for eq 1 = 0.4814
Order of pole (six term test) = -11.52
TOP MAIN SOLVE Loop
x[1] = 4.5
y[1] (analytic) = 0
y[1] (numeric) = 5.8162091909034423170440156485194
absolute error = 5.8162091909034423170440156485194
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02836
Order of pole (three term test) = -28.59
Radius of convergence (six term test) for eq 1 = 0.4679
Order of pole (six term test) = -11.55
TOP MAIN SOLVE Loop
x[1] = 4.51
y[1] (analytic) = 0
y[1] (numeric) = 5.8212840241635213007155764700966
absolute error = 5.8212840241635213007155764700966
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.01772
Order of pole (three term test) = -27.39
Radius of convergence (six term test) for eq 1 = 0.4605
Order of pole (six term test) = -11.58
TOP MAIN SOLVE Loop
bytes used=164049288, alloc=4717728, time=5.95
x[1] = 4.52
y[1] (analytic) = 0
y[1] (numeric) = 5.8263517916211928623767286104343
absolute error = 5.8263517916211928623767286104343
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.007464
Order of pole (three term test) = -26.08
Radius of convergence (six term test) for eq 1 = 0.4586
Order of pole (six term test) = -11.6
TOP MAIN SOLVE Loop
x[1] = 4.53
y[1] (analytic) = 0
y[1] (numeric) = 5.8314128470938876835303238494022
absolute error = 5.8314128470938876835303238494022
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 0.4616
Order of pole (six term test) = -11.62
TOP MAIN SOLVE Loop
x[1] = 4.54
y[1] (analytic) = 0
y[1] (numeric) = 5.8364675436885101940704896057751
absolute error = 5.8364675436885101940704896057751
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.335
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 0.4686
Order of pole (six term test) = -11.64
TOP MAIN SOLVE Loop
x[1] = 4.55
y[1] (analytic) = 0
y[1] (numeric) = 5.8415162338374731442413787688803
absolute error = 5.8415162338374731442413787688803
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.253
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 0.4792
Order of pole (six term test) = -11.66
TOP MAIN SOLVE Loop
x[1] = 4.56
y[1] (analytic) = 0
y[1] (numeric) = 5.8465592693348787911969469324778
absolute error = 5.8465592693348787911969469324778
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.168
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 0.4926
Order of pole (six term test) = -11.68
TOP MAIN SOLVE Loop
x[1] = 4.57
y[1] (analytic) = 0
y[1] (numeric) = 5.8515970013728378460986143132187
absolute error = 5.8515970013728378460986143132187
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 0.5084
Order of pole (six term test) = -11.7
TOP MAIN SOLVE Loop
x[1] = 4.58
y[1] (analytic) = 0
y[1] (numeric) = 5.8566297805779174649831423462292
absolute error = 5.8566297805779174649831423462292
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 0.5261
Order of pole (six term test) = -11.72
TOP MAIN SOLVE Loop
x[1] = 4.59
y[1] (analytic) = 0
y[1] (numeric) = 5.8616579570477096961490012830637
absolute error = 5.8616579570477096961490012830637
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 0.5452
Order of pole (six term test) = -11.73
TOP MAIN SOLVE Loop
x[1] = 4.6
y[1] (analytic) = 0
y[1] (numeric) = 5.8666818803875119185108923085783
absolute error = 5.8666818803875119185108923085783
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 0.5653
Order of pole (six term test) = -11.75
TOP MAIN SOLVE Loop
x[1] = 4.61
y[1] (analytic) = 0
y[1] (numeric) = 5.8717018997471109192266298969245
absolute error = 5.8717018997471109192266298969245
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 0.586
Order of pole (six term test) = -11.77
TOP MAIN SOLVE Loop
x[1] = 4.62
y[1] (analytic) = 0
y[1] (numeric) = 5.8767183638576623648786367499439
absolute error = 5.8767183638576623648786367499439
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 0.607
Order of pole (six term test) = -11.79
TOP MAIN SOLVE Loop
x[1] = 4.63
y[1] (analytic) = 0
y[1] (numeric) = 5.8817316210686575185667347855463
absolute error = 5.8817316210686575185667347855463
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 0.6278
Order of pole (six term test) = -11.81
bytes used=168050300, alloc=4717728, time=6.09
TOP MAIN SOLVE Loop
x[1] = 4.64
y[1] (analytic) = 0
y[1] (numeric) = 5.8867420193849691454150445851635
absolute error = 5.8867420193849691454150445851635
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 0.648
Order of pole (six term test) = -11.83
TOP MAIN SOLVE Loop
x[1] = 4.65
y[1] (analytic) = 0
y[1] (numeric) = 5.8917499065039686311912887636374
absolute error = 5.8917499065039686311912887636374
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 0.667
Order of pole (six term test) = -11.85
TOP MAIN SOLVE Loop
x[1] = 4.66
y[1] (analytic) = 0
y[1] (numeric) = 5.896755629852706412961548141454
absolute error = 5.896755629852706412961548141454
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 0.6844
Order of pole (six term test) = -11.87
TOP MAIN SOLVE Loop
x[1] = 4.67
y[1] (analytic) = 0
y[1] (numeric) = 5.9017595366251478869396438237346
absolute error = 5.9017595366251478869396438237346
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 0.6998
Order of pole (six term test) = -11.88
TOP MAIN SOLVE Loop
x[1] = 4.68
y[1] (analytic) = 0
y[1] (numeric) = 5.9067619738194570169220295091438
absolute error = 5.9067619738194570169220295091438
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 0.7125
Order of pole (six term test) = -11.9
TOP MAIN SOLVE Loop
x[1] = 4.69
y[1] (analytic) = 0
y[1] (numeric) = 5.9117632882753199169126473693587
absolute error = 5.9117632882753199169126473693587
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 0.7223
Order of pole (six term test) = -11.91
TOP MAIN SOLVE Loop
x[1] = 4.7
y[1] (analytic) = 0
y[1] (numeric) = 5.9167638267113007237258993159971
absolute error = 5.9167638267113007237258993159971
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 0.7286
Order of pole (six term test) = -11.92
TOP MAIN SOLVE Loop
x[1] = 4.71
y[1] (analytic) = 0
y[1] (numeric) = 5.9217639357622221094999395429633
absolute error = 5.9217639357622221094999395429633
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 0.7314
Order of pole (six term test) = -11.92
TOP MAIN SOLVE Loop
x[1] = 4.72
y[1] (analytic) = 0
y[1] (numeric) = 5.9267639620165628101490455334
absolute error = 5.9267639620165628101490455334
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.007313
Order of pole (three term test) = -0.9715
Radius of convergence (six term test) for eq 1 = 0.7304
Order of pole (six term test) = -11.92
TOP MAIN SOLVE Loop
x[1] = 4.73
y[1] (analytic) = 0
y[1] (numeric) = 5.9317642520538645638268988290313
absolute error = 5.9317642520538645638268988290313
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.01666
Order of pole (three term test) = -1.311
Radius of convergence (six term test) for eq 1 = 0.7257
Order of pole (six term test) = -11.91
TOP MAIN SOLVE Loop
x[1] = 4.74
y[1] (analytic) = 0
y[1] (numeric) = 5.9367651524821408634580891695895
absolute error = 5.9367651524821408634580891695895
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.02539
Order of pole (three term test) = -1.906
Radius of convergence (six term test) for eq 1 = 0.7176
Order of pole (six term test) = -11.9
TOP MAIN SOLVE Loop
bytes used=172051104, alloc=4717728, time=6.24
x[1] = 4.75
y[1] (analytic) = 0
y[1] (numeric) = 5.9417670099752799293207746491089
absolute error = 5.9417670099752799293207746491089
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03323
Order of pole (three term test) = -2.737
Radius of convergence (six term test) for eq 1 = 0.7062
Order of pole (six term test) = -11.89
TOP MAIN SOLVE Loop
x[1] = 4.76
y[1] (analytic) = 0
y[1] (numeric) = 5.9467701713104343015287487323348
absolute error = 5.9467701713104343015287487323348
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03992
Order of pole (three term test) = -3.776
Radius of convergence (six term test) for eq 1 = 0.6921
Order of pole (six term test) = -11.88
TOP MAIN SOLVE Loop
x[1] = 4.77
y[1] (analytic) = 0
y[1] (numeric) = 5.9517749834053894380675768761054
absolute error = 5.9517749834053894380675768761054
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04529
Order of pole (three term test) = -4.993
Radius of convergence (six term test) for eq 1 = 0.6756
Order of pole (six term test) = -11.86
TOP MAIN SOLVE Loop
x[1] = 4.78
y[1] (analytic) = 0
y[1] (numeric) = 5.9567817933559036817902034476319
absolute error = 5.9567817933559036817902034476319
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04923
Order of pole (three term test) = -6.356
Radius of convergence (six term test) for eq 1 = 0.6572
Order of pole (six term test) = -11.84
TOP MAIN SOLVE Loop
x[1] = 4.79
y[1] (analytic) = 0
y[1] (numeric) = 5.9617909484730119294775768812496
absolute error = 5.9617909484730119294775768812496
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05169
Order of pole (three term test) = -7.834
Radius of convergence (six term test) for eq 1 = 0.6375
Order of pole (six term test) = -11.82
TOP MAIN SOLVE Loop
x[1] = 4.8
y[1] (analytic) = 0
y[1] (numeric) = 5.9668027963202852977263523116341
absolute error = 5.9668027963202852977263523116341
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05268
Order of pole (three term test) = -9.398
Radius of convergence (six term test) for eq 1 = 0.617
Order of pole (six term test) = -11.8
TOP MAIN SOLVE Loop
x[1] = 4.81
y[1] (analytic) = 0
y[1] (numeric) = 5.9718176847510390340474605036791
absolute error = 5.9718176847510390340474605036791
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.05222
Order of pole (three term test) = -11.02
Radius of convergence (six term test) for eq 1 = 0.5961
Order of pole (six term test) = -11.78
TOP MAIN SOLVE Loop
x[1] = 4.82
y[1] (analytic) = 0
y[1] (numeric) = 5.976835961945480867157068934715
absolute error = 5.976835961945480867157068934715
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.0504
Order of pole (three term test) = -12.68
Radius of convergence (six term test) for eq 1 = 0.5751
Order of pole (six term test) = -11.76
TOP MAIN SOLVE Loop
x[1] = 4.83
y[1] (analytic) = 0
y[1] (numeric) = 5.9818579764477919280279723142335
absolute error = 5.9818579764477919280279723142335
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04728
Order of pole (three term test) = -14.36
Radius of convergence (six term test) for eq 1 = 0.5547
Order of pole (six term test) = -11.74
TOP MAIN SOLVE Loop
x[1] = 4.84
y[1] (analytic) = 0
y[1] (numeric) = 5.9868840772031323028595306014183
absolute error = 5.9868840772031323028595306014183
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.04296
Order of pole (three term test) = -16.04
Radius of convergence (six term test) for eq 1 = 0.535
Order of pole (six term test) = -11.72
TOP MAIN SOLVE Loop
x[1] = 4.85
y[1] (analytic) = 0
y[1] (numeric) = 5.9919146135945632007348032732354
absolute error = 5.9919146135945632007348032732354
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.03755
Order of pole (three term test) = -17.71
Radius of convergence (six term test) for eq 1 = 0.5166
Order of pole (six term test) = -11.71
TOP MAIN SOLVE Loop
bytes used=176052072, alloc=4717728, time=6.39
x[1] = 4.86
y[1] (analytic) = 0
y[1] (numeric) = 5.9969499354798776323835403526736
absolute error = 5.9969499354798776323835403526736
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.126
Order of pole (ratio test) Not computed
Radius of convergence (three term test) for eq 1 = 0.03112
Order of pole (three term test) = -19.35
Radius of convergence (six term test) for eq 1 = 0.4999
Order of pole (six term test) = -11.69
TOP MAIN SOLVE Loop
x[1] = 4.87
y[1] (analytic) = 0
y[1] (numeric) = 6.0019903932283314021804375232896
absolute error = 6.0019903932283314021804375232896
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.213
Order of pole (ratio test) Not computed
Radius of convergence (three term test) for eq 1 = 0.02379
Order of pole (three term test) = -20.95
Radius of convergence (six term test) for eq 1 = 0.4853
Order of pole (six term test) = -11.67
TOP MAIN SOLVE Loop
x[1] = 4.88
y[1] (analytic) = 0
y[1] (numeric) = 6.0070363377572661133031009337819
absolute error = 6.0070363377572661133031009337819
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.296
Order of pole (ratio test) Not computed
Radius of convergence (three term test) for eq 1 = 0.01564
Order of pole (three term test) = -22.51
Radius of convergence (six term test) for eq 1 = 0.4733
Order of pole (six term test) = -11.65
TOP MAIN SOLVE Loop
x[1] = 4.89
y[1] (analytic) = 0
y[1] (numeric) = 6.0120881205686157758794426478479
absolute error = 6.0120881205686157758794426478479
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1 = 0.006771
Order of pole (three term test) = -24
Radius of convergence (six term test) for eq 1 = 0.4645
Order of pole (six term test) = -11.63
TOP MAIN SOLVE Loop
x[1] = 4.9
y[1] (analytic) = 0
y[1] (numeric) = 6.0171460937852884899981689574685
absolute error = 6.0171460937852884899981689574685
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 0.4595
Order of pole (six term test) = -11.61
TOP MAIN SOLVE Loop
x[1] = 4.91
y[1] (analytic) = 0
y[1] (numeric) = 6.0222106101874145496696441882093
absolute error = 6.0222106101874145496696441882093
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 0.459
Order of pole (six term test) = -11.59
TOP MAIN SOLVE Loop
x[1] = 4.92
y[1] (analytic) = 0
y[1] (numeric) = 6.0272820232484521802414181037681
absolute error = 6.0272820232484521802414181037681
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 0.4636
Order of pole (six term test) = -11.56
TOP MAIN SOLVE Loop
x[1] = 4.93
y[1] (analytic) = 0
y[1] (numeric) = 6.0323606871711419804296095106965
absolute error = 6.0323606871711419804296095106965
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 0.4741
Order of pole (six term test) = -11.53
TOP MAIN SOLVE Loop
x[1] = 4.94
y[1] (analytic) = 0
y[1] (numeric) = 6.0374469569233009910635864834291
absolute error = 6.0374469569233009910635864834291
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 0.491
Order of pole (six term test) = -11.5
TOP MAIN SOLVE Loop
x[1] = 4.95
y[1] (analytic) = 0
y[1] (numeric) = 6.0425411882734471558994787154446
absolute error = 6.0425411882734471558994787154446
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 0.5149
Order of pole (six term test) = -11.46
TOP MAIN SOLVE Loop
x[1] = 4.96
y[1] (analytic) = 0
y[1] (numeric) = 6.0476437378262447754836995506024
absolute error = 6.0476437378262447754836995506024
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 0.5461
Order of pole (six term test) = -11.41
TOP MAIN SOLVE Loop
bytes used=180053640, alloc=4783252, time=6.54
x[1] = 4.97
y[1] (analytic) = 0
y[1] (numeric) = 6.0527549630577613830898826146057
absolute error = 6.0527549630577613830898826146057
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 0.5852
Order of pole (six term test) = -11.35
TOP MAIN SOLVE Loop
x[1] = 4.98
y[1] (analytic) = 0
y[1] (numeric) = 6.057875222350526292263977263246
absolute error = 6.057875222350526292263977263246
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 0.6323
Order of pole (six term test) = -11.29
TOP MAIN SOLVE Loop
x[1] = 4.99
y[1] (analytic) = 0
y[1] (numeric) = 6.0630048750283808785488693647078
absolute error = 6.0630048750283808785488693647078
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 0.6881
Order of pole (six term test) = -11.21
Finished!
diff ( y , x , 1 ) = expt(2.0 , sin(x));
Iterations = 490
Total Elapsed Time = 6 Seconds
Elapsed Time(since restart) = 6 Seconds
Time to Timeout = 2 Minutes 53 Seconds
Percent Done = 100.2 %
> quit
bytes used=180947408, alloc=4783252, time=6.57