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._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2007
\ MAPLE / All rights reserved. Maple is a trademark of
<____ ____> Waterloo Maple Inc.
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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_0D1,
> array_const_0D2,
> #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,
> array_tmp2_g,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4,
> array_tmp5_c1,
> array_tmp5_a1,
> array_tmp5_a2,
> array_tmp5,
> array_tmp6,
> 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_0D1,
array_const_0D2, 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,
array_tmp2_g, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4,
array_tmp5_c1, array_tmp5_a1, array_tmp5_a2, array_tmp5, array_tmp6,
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_0D1,
> array_const_0D2,
> #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,
> array_tmp2_g,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4,
> array_tmp5_c1,
> array_tmp5_a1,
> array_tmp5_a2,
> array_tmp5,
> array_tmp6,
> 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_0D1,
array_const_0D2, 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,
array_tmp2_g, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4,
array_tmp5_c1, array_tmp5_a1, array_tmp5_a2, array_tmp5, array_tmp6,
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_0D1,
> array_const_0D2,
> #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,
> array_tmp2_g,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4,
> array_tmp5_c1,
> array_tmp5_a1,
> array_tmp5_a2,
> array_tmp5,
> array_tmp6,
> 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_0D1,
array_const_0D2, 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,
array_tmp2_g, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4,
array_tmp5_c1, array_tmp5_a1, array_tmp5_a2, array_tmp5, array_tmp6,
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_0D1,
> array_const_0D2,
> #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,
> array_tmp2_g,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4,
> array_tmp5_c1,
> array_tmp5_a1,
> array_tmp5_a2,
> array_tmp5,
> array_tmp6,
> 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_0D1,
array_const_0D2, 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,
array_tmp2_g, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4,
array_tmp5_c1, array_tmp5_a1, array_tmp5_a2, array_tmp5, array_tmp6,
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_0D1,
> array_const_0D2,
> #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,
> array_tmp2_g,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4,
> array_tmp5_c1,
> array_tmp5_a1,
> array_tmp5_a2,
> array_tmp5,
> array_tmp6,
> 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_0D1,
array_const_0D2, 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,
array_tmp2_g, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4,
array_tmp5_c1, array_tmp5_a1, array_tmp5_a2, array_tmp5, array_tmp6,
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_0D1,
> array_const_0D2,
> #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,
> array_tmp2_g,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4,
> array_tmp5_c1,
> array_tmp5_a1,
> array_tmp5_a2,
> array_tmp5,
> array_tmp6,
> 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_0D1,
array_const_0D2, 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,
array_tmp2_g, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4,
array_tmp5_c1, array_tmp5_a1, array_tmp5_a2, array_tmp5, array_tmp6,
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_0D1,
> array_const_0D2,
> #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,
> array_tmp2_g,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4,
> array_tmp5_c1,
> array_tmp5_a1,
> array_tmp5_a2,
> array_tmp5,
> array_tmp6,
> 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_0D1,
array_const_0D2, 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,
array_tmp2_g, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4,
array_tmp5_c1, array_tmp5_a1, array_tmp5_a2, array_tmp5, array_tmp6,
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_0D1,
> array_const_0D2,
> #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,
> array_tmp2_g,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4,
> array_tmp5_c1,
> array_tmp5_a1,
> array_tmp5_a2,
> array_tmp5,
> array_tmp6,
> 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_0D1,
array_const_0D2, 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,
array_tmp2_g, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4,
array_tmp5_c1, array_tmp5_a1, array_tmp5_a2, array_tmp5, array_tmp6,
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_0D1,
> array_const_0D2,
> #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,
> array_tmp2_g,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4,
> array_tmp5_c1,
> array_tmp5_a1,
> array_tmp5_a2,
> array_tmp5,
> array_tmp6,
> 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 mult CONST - LINEAR $eq_no = 1 i = 1
> array_tmp1[1] := array_const_0D1[1] * array_x[1];
> #emit pre sin 1 $eq_no = 1
> array_tmp2[1] := sin(array_tmp1[1]);
> array_tmp2_g[1] := cos(array_tmp1[1]);
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 1
> array_tmp3[1] := array_const_0D2[1] * array_x[1];
> #emit pre sin 1 $eq_no = 1
> array_tmp4[1] := sin(array_tmp3[1]);
> array_tmp4_g[1] := cos(array_tmp3[1]);
> #emit pre expt FULL - FULL $eq_no = 1 i = 1
> array_tmp5[1] := expt(array_tmp2[1] , array_tmp4[1] ) ;
> array_tmp5_a1[1] := ln(array_tmp2[1] ) ;
> #emit pre add CONST FULL $eq_no = 1 i = 1
> array_tmp6[1] := array_const_0D0[1] + array_tmp5[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_tmp6[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 mult CONST - LINEAR $eq_no = 1 i = 2
> array_tmp1[2] := array_const_0D1[1] * array_x[2];
> #emit pre sin ID_LINEAR iii = 2 $eq_no = 1
> array_tmp2[2] := array_tmp2_g[1] * array_tmp1[2] / 1;
> array_tmp2_g[2] := -array_tmp2[1] * array_tmp1[2] / 1;
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 2
> array_tmp3[2] := array_const_0D2[1] * array_x[2];
> #emit pre sin ID_LINEAR iii = 2 $eq_no = 1
> array_tmp4[2] := array_tmp4_g[1] * array_tmp3[2] / 1;
> array_tmp4_g[2] := -array_tmp4[1] * array_tmp3[2] / 1;
> #emit pre expt FULL - FULL $eq_no = 1 i = 2
> array_tmp5_a1[2] := (array_tmp2[2] -att(1,array_tmp2,array_tmp5_a1,2))/ array_tmp2[1];
> array_tmp5_a2[1] := ats(2,array_tmp2,array_tmp5_a1,1) * 1 / glob_h;
> array_tmp5[2] := ats(1,array_tmp5,array_tmp5_a2,1)*glob_h/1;
> #emit pre add CONST FULL $eq_no = 1 i = 2
> array_tmp6[2] := array_tmp5[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_tmp6[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_tmp2[3] := array_tmp2_g[2] * array_tmp1[2] / 2;
> array_tmp2_g[3] := -array_tmp2[2] * array_tmp1[2] / 2;
> #emit pre sin ID_LINEAR iii = 3 $eq_no = 1
> array_tmp4[3] := array_tmp4_g[2] * array_tmp3[2] / 2;
> array_tmp4_g[3] := -array_tmp4[2] * array_tmp3[2] / 2;
> #emit pre expt FULL - FULL $eq_no = 1 i = 3
> array_tmp5_a1[3] := (array_tmp2[3] -att(2,array_tmp2,array_tmp5_a1,2))/ array_tmp2[1];
> array_tmp5_a2[2] := ats(3,array_tmp2,array_tmp5_a1,1) * 2 / glob_h;
> array_tmp5[3] := ats(2,array_tmp5,array_tmp5_a2,1)*glob_h/2;
> #emit pre add CONST FULL $eq_no = 1 i = 3
> array_tmp6[3] := array_tmp5[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_tmp6[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_tmp2[4] := array_tmp2_g[3] * array_tmp1[2] / 3;
> array_tmp2_g[4] := -array_tmp2[3] * array_tmp1[2] / 3;
> #emit pre sin ID_LINEAR iii = 4 $eq_no = 1
> array_tmp4[4] := array_tmp4_g[3] * array_tmp3[2] / 3;
> array_tmp4_g[4] := -array_tmp4[3] * array_tmp3[2] / 3;
> #emit pre expt FULL - FULL $eq_no = 1 i = 4
> array_tmp5_a1[4] := (array_tmp2[4] -att(3,array_tmp2,array_tmp5_a1,2))/ array_tmp2[1];
> array_tmp5_a2[3] := ats(4,array_tmp2,array_tmp5_a1,1) * 3 / glob_h;
> array_tmp5[4] := ats(3,array_tmp5,array_tmp5_a2,1)*glob_h/3;
> #emit pre add CONST FULL $eq_no = 1 i = 4
> array_tmp6[4] := array_tmp5[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_tmp6[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_tmp2[5] := array_tmp2_g[4] * array_tmp1[2] / 4;
> array_tmp2_g[5] := -array_tmp2[4] * array_tmp1[2] / 4;
> #emit pre sin ID_LINEAR iii = 5 $eq_no = 1
> array_tmp4[5] := array_tmp4_g[4] * array_tmp3[2] / 4;
> array_tmp4_g[5] := -array_tmp4[4] * array_tmp3[2] / 4;
> #emit pre expt FULL - FULL $eq_no = 1 i = 5
> array_tmp5_a1[5] := (array_tmp2[5] -att(4,array_tmp2,array_tmp5_a1,2))/ array_tmp2[1];
> array_tmp5_a2[4] := ats(5,array_tmp2,array_tmp5_a1,1) * 4 / glob_h;
> array_tmp5[5] := ats(4,array_tmp5,array_tmp5_a2,1)*glob_h/4;
> #emit pre add CONST FULL $eq_no = 1 i = 5
> array_tmp6[5] := array_tmp5[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_tmp6[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_tmp2[kkk] := array_tmp2_g[kkk - 1] * array_tmp1[2] / (kkk - 1);
> array_tmp2_g[kkk] := -array_tmp2[kkk - 1] * array_tmp1[2] / (kkk - 1);
> #emit sin LINEAR $eq_no = 1
> array_tmp4[kkk] := array_tmp4_g[kkk - 1] * array_tmp3[2] / (kkk - 1);
> array_tmp4_g[kkk] := -array_tmp4[kkk - 1] * array_tmp3[2] / (kkk - 1);
> #emit expt FULL FULL $eq_no = 1 i = 1
> array_tmp5_a1[kkk] := (array_tmp2[kkk] - att(kkk-1,array_tmp2,array_tmp5_a1,2))/array_tmp2[1];
> array_tmp5_a2[kkk-1] := ats(kkk,array_tmp2,array_tmp5_a1,1) * (kkk-1)/glob_h;
> array_tmp5[kkk] := ats(kkk-1,array_tmp5,array_tmp5_a2,1) * glob_h/(kkk-1);
> #emit NOT FULL - FULL add $eq_no = 1
> array_tmp6[kkk] := array_tmp5[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_tmp6[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_0D1,
array_const_0D2, 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,
array_tmp2_g, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4,
array_tmp5_c1, array_tmp5_a1, array_tmp5_a2, array_tmp5, array_tmp6,
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] := array_const_0D1[1]*array_x[1];
array_tmp2[1] := sin(array_tmp1[1]);
array_tmp2_g[1] := cos(array_tmp1[1]);
array_tmp3[1] := array_const_0D2[1]*array_x[1];
array_tmp4[1] := sin(array_tmp3[1]);
array_tmp4_g[1] := cos(array_tmp3[1]);
array_tmp5[1] := expt(array_tmp2[1], array_tmp4[1]);
array_tmp5_a1[1] := ln(array_tmp2[1]);
array_tmp6[1] := array_const_0D0[1] + array_tmp5[1];
if not array_y_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp6[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_const_0D1[1]*array_x[2];
array_tmp2[2] := array_tmp2_g[1]*array_tmp1[2];
array_tmp2_g[2] := -array_tmp2[1]*array_tmp1[2];
array_tmp3[2] := array_const_0D2[1]*array_x[2];
array_tmp4[2] := array_tmp4_g[1]*array_tmp3[2];
array_tmp4_g[2] := -array_tmp4[1]*array_tmp3[2];
array_tmp5_a1[2] := (
array_tmp2[2] - att(1, array_tmp2, array_tmp5_a1, 2))/array_tmp2[1]
;
array_tmp5_a2[1] := ats(2, array_tmp2, array_tmp5_a1, 1)/glob_h;
array_tmp5[2] := ats(1, array_tmp5, array_tmp5_a2, 1)*glob_h;
array_tmp6[2] := array_tmp5[2];
if not array_y_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp6[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_tmp2[3] := 1/2*array_tmp2_g[2]*array_tmp1[2];
array_tmp2_g[3] := -1/2*array_tmp2[2]*array_tmp1[2];
array_tmp4[3] := 1/2*array_tmp4_g[2]*array_tmp3[2];
array_tmp4_g[3] := -1/2*array_tmp4[2]*array_tmp3[2];
array_tmp5_a1[3] := (
array_tmp2[3] - att(2, array_tmp2, array_tmp5_a1, 2))/array_tmp2[1]
;
array_tmp5_a2[2] := 2*ats(3, array_tmp2, array_tmp5_a1, 1)/glob_h;
array_tmp5[3] := 1/2*ats(2, array_tmp5, array_tmp5_a2, 1)*glob_h;
array_tmp6[3] := array_tmp5[3];
if not array_y_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp6[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_tmp2[4] := 1/3*array_tmp2_g[3]*array_tmp1[2];
array_tmp2_g[4] := -1/3*array_tmp2[3]*array_tmp1[2];
array_tmp4[4] := 1/3*array_tmp4_g[3]*array_tmp3[2];
array_tmp4_g[4] := -1/3*array_tmp4[3]*array_tmp3[2];
array_tmp5_a1[4] := (
array_tmp2[4] - att(3, array_tmp2, array_tmp5_a1, 2))/array_tmp2[1]
;
array_tmp5_a2[3] := 3*ats(4, array_tmp2, array_tmp5_a1, 1)/glob_h;
array_tmp5[4] := 1/3*ats(3, array_tmp5, array_tmp5_a2, 1)*glob_h;
array_tmp6[4] := array_tmp5[4];
if not array_y_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp6[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_tmp2[5] := 1/4*array_tmp2_g[4]*array_tmp1[2];
array_tmp2_g[5] := -1/4*array_tmp2[4]*array_tmp1[2];
array_tmp4[5] := 1/4*array_tmp4_g[4]*array_tmp3[2];
array_tmp4_g[5] := -1/4*array_tmp4[4]*array_tmp3[2];
array_tmp5_a1[5] := (
array_tmp2[5] - att(4, array_tmp2, array_tmp5_a1, 2))/array_tmp2[1]
;
array_tmp5_a2[4] := 4*ats(5, array_tmp2, array_tmp5_a1, 1)/glob_h;
array_tmp5[5] := 1/4*ats(4, array_tmp5, array_tmp5_a2, 1)*glob_h;
array_tmp6[5] := array_tmp5[5];
if not array_y_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp6[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_tmp2[kkk] := array_tmp2_g[kkk - 1]*array_tmp1[2]/(kkk - 1);
array_tmp2_g[kkk] := -array_tmp2[kkk - 1]*array_tmp1[2]/(kkk - 1);
array_tmp4[kkk] := array_tmp4_g[kkk - 1]*array_tmp3[2]/(kkk - 1);
array_tmp4_g[kkk] := -array_tmp4[kkk - 1]*array_tmp3[2]/(kkk - 1);
array_tmp5_a1[kkk] := (
array_tmp2[kkk] - att(kkk - 1, array_tmp2, array_tmp5_a1, 2))/
array_tmp2[1];
array_tmp5_a2[kkk - 1] :=
ats(kkk, array_tmp2, array_tmp5_a1, 1)*(kkk - 1)/glob_h;
array_tmp5[kkk] :=
ats(kkk - 1, array_tmp5, array_tmp5_a2, 1)*glob_h/(kkk - 1);
array_tmp6[kkk] := array_tmp5[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_tmp6[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_0D1,
> array_const_0D2,
> #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,
> array_tmp2_g,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4,
> array_tmp5_c1,
> array_tmp5_a1,
> array_tmp5_a2,
> array_tmp5,
> array_tmp6,
> 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_sin_sinpostode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = expt(sin(0.1 * x) , sin(0.2 * 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:= Array(0..(max_terms + 1),[]);
> array_tmp2_g:= Array(0..(max_terms + 1),[]);
> array_tmp2:= Array(0..(max_terms + 1),[]);
> array_tmp3:= Array(0..(max_terms + 1),[]);
> array_tmp4_g:= Array(0..(max_terms + 1),[]);
> array_tmp4:= Array(0..(max_terms + 1),[]);
> array_tmp5_c1:= Array(0..(max_terms + 1),[]);
> array_tmp5_a1:= Array(0..(max_terms + 1),[]);
> array_tmp5_a2:= Array(0..(max_terms + 1),[]);
> array_tmp5:= Array(0..(max_terms + 1),[]);
> array_tmp6:= 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[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_tmp2_g[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_tmp4_g[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_tmp5_c1[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_tmp5_a1[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_tmp5_a2[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_tmp5[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_tmp6[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 := 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_g := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_tmp2_g[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_tmp4_g := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_tmp4_g[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_tmp4 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_tmp5_c1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_tmp5_c1[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_tmp5_a1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_tmp5_a1[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_tmp5_a2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_tmp5_a2[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_tmp5 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_tmp5[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_tmp6 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_tmp6[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_0D1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_const_0D1[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_const_0D1[1] := 0.1;
> array_const_0D2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_const_0D2[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_const_0D2[1] := 0.2;
> 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(sin(0.1 * x) , sin(0.2 * 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,"2013-05-26T02:11:56-05:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"expt_sin_sin")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = expt(sin(0.1 * x) , sin(0.2 * 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_sin_sin diffeq.mxt")
> ;
> logitem_str(html_log_file,"expt_sin_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_0D1,
array_const_0D2, 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,
array_tmp2_g, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4,
array_tmp5_c1, array_tmp5_a1, array_tmp5_a2, array_tmp5, array_tmp6,
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_sin_sinpostode.ode#################");
omniout_str(ALWAYS,
"diff ( y , x , 1 ) = expt(sin(0.1 * x) , sin(0.2 * 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 := Array(0 .. max_terms + 1, []);
array_tmp2_g := Array(0 .. max_terms + 1, []);
array_tmp2 := Array(0 .. max_terms + 1, []);
array_tmp3 := Array(0 .. max_terms + 1, []);
array_tmp4_g := Array(0 .. max_terms + 1, []);
array_tmp4 := Array(0 .. max_terms + 1, []);
array_tmp5_c1 := Array(0 .. max_terms + 1, []);
array_tmp5_a1 := Array(0 .. max_terms + 1, []);
array_tmp5_a2 := Array(0 .. max_terms + 1, []);
array_tmp5 := Array(0 .. max_terms + 1, []);
array_tmp6 := 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[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2_g[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4_g[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp5_c1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp5_a1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp5_a2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp5[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp6[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 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1
end do;
array_tmp2_g := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp2_g[term] := 0.; term := term + 1
end do;
array_tmp2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1
end do;
array_tmp3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1
end do;
array_tmp4_g := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp4_g[term] := 0.; term := term + 1
end do;
array_tmp4 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1
end do;
array_tmp5_c1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp5_c1[term] := 0.; term := term + 1
end do;
array_tmp5_a1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp5_a1[term] := 0.; term := term + 1
end do;
array_tmp5_a2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp5_a2[term] := 0.; term := term + 1
end do;
array_tmp5 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp5[term] := 0.; term := term + 1
end do;
array_tmp6 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp6[term] := 0.; term := term + 1
end do;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1
end do;
array_const_1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1[term] := 0.; term := term + 1
end do;
array_const_1[1] := 1;
array_const_0D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D0[term] := 0.; term := term + 1
end do;
array_const_0D0[1] := 0.;
array_const_0D1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D1[term] := 0.; term := term + 1
end do;
array_const_0D1[1] := 0.1;
array_const_0D2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D2[term] := 0.; term := term + 1
end do;
array_const_0D2[1] := 0.2;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
array_m1[1] := -1.0;
iiif := 0;
while iiif <= glob_max_terms do
jjjf := 0;
while jjjf <= glob_max_terms do
array_fact_1[iiif] := 0;
array_fact_2[iiif, jjjf] := 0;
jjjf := jjjf + 1
end do;
iiif := iiif + 1
end do;
x_start := 0.1;
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(sin(0.1 * x) , sin(0.2 * 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, "2013-05-26T02:11:56-05:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file,
"expt_sin_sin");
logitem_str(html_log_file,
"diff ( y , x , 1 ) = expt(sin(0.1 * x) , sin(0.2 * 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_sin_sin diffeq.mxt");
logitem_str(html_log_file, "expt_sin_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_sin_sinpostode.ode#################
diff ( y , x , 1 ) = expt(sin(0.1 * x) , sin(0.2 * 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 = 6.1580667061193463283102985920761e-138
estimated_step_error = 6.1580667061193463283102985920761e-138
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 = 4.1325902477166683471631527296199e-130
estimated_step_error = 4.1325902477166683471631527296199e-130
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 = 2.7733097227820050397534685526695e-122
estimated_step_error = 2.7733097227820050397534685526695e-122
best_h = 8.000e-06
opt_iter = 4
bytes used=4000340, alloc=2883056, time=0.12
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 1.8611035714292238514002739779852e-114
estimated_step_error = 1.8611035714292238514002739779852e-114
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 = 1.2489210695060421828826037642302e-106
estimated_step_error = 1.2489210695060421828826037642302e-106
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 = 8.3807716223282562456921229872124e-99
estimated_step_error = 8.3807716223282562456921229872124e-99
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 = 5.6234411354117810322076598231255e-91
estimated_step_error = 5.6234411354117810322076598231255e-91
best_h = 0.000128
opt_iter = 8
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 3.7727548599635948747414676343202e-83
estimated_step_error = 3.7727548599635948747414676343202e-83
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 = 2.5304145384643581736578338334024e-75
estimated_step_error = 2.5304145384643581736578338334024e-75
best_h = 0.000512
opt_iter = 10
bytes used=8001560, alloc=3931440, time=0.24
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 1.6962051920553500734982660050491e-67
estimated_step_error = 1.6962051920553500734982660050491e-67
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 = 1.1357262095253179750615022907652e-59
estimated_step_error = 1.1357262095253179750615022907652e-59
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 = 7.5873694205637514136430654108408e-52
estimated_step_error = 7.5873694205637514136430654108408e-52
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 = 5.0463211439842927898294863206237e-44
estimated_step_error = 5.0463211439842927898294863206237e-44
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 = 3.3272125955593747257439418741568e-36
estimated_step_error = 3.3272125955593747257439418741568e-36
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 = 2.1578615880663676758797205621482e-28
estimated_step_error = 2.1578615880663676758797205621482e-28
best_h = 0.032768
opt_iter = 16
bytes used=12002728, alloc=4062488, time=0.37
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 1.3598638714045118010169601950896e-20
estimated_step_error = 1.3598638714045118010169601950896e-20
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 = 8.2742829905347028653944741323172e-13
estimated_step_error = 8.2742829905347028653944741323172e-13
best_h = 0.032768
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
Radius of convergence (ratio test) for eq 1 = 0.115
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.11
y[1] (analytic) = 0
y[1] (numeric) = 0.009103889960356604130910550086889
absolute error = 0.009103889960356604130910550086889
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.1265
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.12
y[1] (analytic) = 0
y[1] (numeric) = 0.018143682483077007537188336820091
absolute error = 0.018143682483077007537188336820091
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.138
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.13
y[1] (analytic) = 0
y[1] (numeric) = 0.027121430896624074502472278849572
absolute error = 0.027121430896624074502472278849572
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.1496
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=16003416, alloc=4193536, time=0.50
x[1] = 0.14
y[1] (analytic) = 0
y[1] (numeric) = 0.036039022352262450542773560612856
absolute error = 0.036039022352262450542773560612856
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.1611
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.15
y[1] (analytic) = 0
y[1] (numeric) = 0.044898202154845721031850816708976
absolute error = 0.044898202154845721031850816708976
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.1726
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.16
y[1] (analytic) = 0
y[1] (numeric) = 0.053700593046732205430679694442642
absolute error = 0.053700593046732205430679694442642
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.1841
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.17
y[1] (analytic) = 0
y[1] (numeric) = 0.062447710760794217789837427677364
absolute error = 0.062447710760794217789837427677364
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.1956
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.18
y[1] (analytic) = 0
y[1] (numeric) = 0.071140976754020186177791182350021
absolute error = 0.071140976754020186177791182350021
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.2071
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.19
y[1] (analytic) = 0
y[1] (numeric) = 0.079781728769672483805822843116674
absolute error = 0.079781728769672483805822843116674
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.2186
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=20004284, alloc=4259060, time=0.63
x[1] = 0.2
y[1] (analytic) = 0
y[1] (numeric) = 0.088371229699107955686798823658397
absolute error = 0.088371229699107955686798823658397
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.2301
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.21
y[1] (analytic) = 0
y[1] (numeric) = 0.096910675092598238792198404348142
absolute error = 0.096910675092598238792198404348142
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.2416
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.22
y[1] (analytic) = 0
y[1] (numeric) = 0.10540119958273613176490778804033
absolute error = 0.10540119958273613176490778804033
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.2531
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.23
y[1] (analytic) = 0
y[1] (numeric) = 0.11384388242241290434015090147834
absolute error = 0.11384388242241290434015090147834
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.2647
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.24
y[1] (analytic) = 0
y[1] (numeric) = 0.12223975229430537895179343333101
absolute error = 0.12223975229430537895179343333101
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.2762
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=24005392, alloc=4259060, time=0.76
x[1] = 0.25
y[1] (analytic) = 0
y[1] (numeric) = 0.13058979151534242142508029162734
absolute error = 0.13058979151534242142508029162734
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.2877
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.26
y[1] (analytic) = 0
y[1] (numeric) = 0.13889493973439260769108325135319
absolute error = 0.13889493973439260769108325135319
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.2992
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.27
y[1] (analytic) = 0
y[1] (numeric) = 0.14715609720214923506259618262905
absolute error = 0.14715609720214923506259618262905
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.3107
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.28
y[1] (analytic) = 0
y[1] (numeric) = 0.15537412767730042518177728338078
absolute error = 0.15537412767730042518177728338078
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.3222
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.29
y[1] (analytic) = 0
y[1] (numeric) = 0.16354986102144042274413678789564
absolute error = 0.16354986102144042274413678789564
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.3337
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.3
y[1] (analytic) = 0
y[1] (numeric) = 0.17168409552599961321209932293773
absolute error = 0.17168409552599961321209932293773
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.3452
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=28006356, alloc=4324584, time=0.89
x[1] = 0.31
y[1] (analytic) = 0
y[1] (numeric) = 0.17977760000716085397318222838427
absolute error = 0.17977760000716085397318222838427
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.3568
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.32
y[1] (analytic) = 0
y[1] (numeric) = 0.18783111569885815582976399311572
absolute error = 0.18783111569885815582976399311572
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.3683
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.33
y[1] (analytic) = 0
y[1] (numeric) = 0.19584535796920008985118304736261
absolute error = 0.19584535796920008985118304736261
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.3798
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.34
y[1] (analytic) = 0
y[1] (numeric) = 0.20382101788178327154406955493598
absolute error = 0.20382101788178327154406955493598
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.3913
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.35
y[1] (analytic) = 0
y[1] (numeric) = 0.21175876362017745585522822210634
absolute error = 0.21175876362017745585522822210634
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.4028
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.36
y[1] (analytic) = 0
y[1] (numeric) = 0.21965924179123239512420058060198
absolute error = 0.21965924179123239512420058060198
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.4143
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=32007320, alloc=4324584, time=1.02
x[1] = 0.37
y[1] (analytic) = 0
y[1] (numeric) = 0.22752307862066870374179864535039
absolute error = 0.22752307862066870374179864535039
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.4259
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.38
y[1] (analytic) = 0
y[1] (numeric) = 0.23535088105258550591401088175142
absolute error = 0.23535088105258550591401088175142
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.4374
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.39
y[1] (analytic) = 0
y[1] (numeric) = 0.2431432377629797537844416438037
absolute error = 0.2431432377629797537844416438037
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.4489
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.4
y[1] (analytic) = 0
y[1] (numeric) = 0.25090072009607283907993768055703
absolute error = 0.25090072009607283907993768055703
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.4604
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.41
y[1] (analytic) = 0
y[1] (numeric) = 0.25862388293113726179477267919728
absolute error = 0.25862388293113726179477267919728
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.4719
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=36009516, alloc=4324584, time=1.15
x[1] = 0.42
y[1] (analytic) = 0
y[1] (numeric) = 0.26631326548657578618557369109174
absolute error = 0.26631326548657578618557369109174
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.4834
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.43
y[1] (analytic) = 0
y[1] (numeric) = 0.27396939206720035976464203026887
absolute error = 0.27396939206720035976464203026887
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.495
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.44
y[1] (analytic) = 0
y[1] (numeric) = 0.28159277275996589286587063556963
absolute error = 0.28159277275996589286587063556963
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.5065
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.45
y[1] (analytic) = 0
y[1] (numeric) = 0.28918390408281667244007952247587
absolute error = 0.28918390408281667244007952247587
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.518
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.46
y[1] (analytic) = 0
y[1] (numeric) = 0.29674326959078584596376514781818
absolute error = 0.29674326959078584596376514781818
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.5295
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.47
y[1] (analytic) = 0
y[1] (numeric) = 0.30427134044303880198242511779169
absolute error = 0.30427134044303880198242511779169
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.541
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=40010536, alloc=4324584, time=1.28
x[1] = 0.48
y[1] (analytic) = 0
y[1] (numeric) = 0.31176857593415924020405668584094
absolute error = 0.31176857593415924020405668584094
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.5526
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.49
y[1] (analytic) = 0
y[1] (numeric) = 0.31923542399263381989004213827636
absolute error = 0.31923542399263381989004213827636
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.5641
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.5
y[1] (analytic) = 0
y[1] (numeric) = 0.3266723216491904441094908750815
absolute error = 0.3266723216491904441094908750815
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.5756
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.51
y[1] (analytic) = 0
y[1] (numeric) = 0.3340796954773805601564298057221
absolute error = 0.3340796954773805601564298057221
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.5871
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.52
y[1] (analytic) = 0
y[1] (numeric) = 0.34145796200856234890356080336719
absolute error = 0.34145796200856234890356080336719
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.5986
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.53
y[1] (analytic) = 0
y[1] (numeric) = 0.34880752812323512564894365205098
absolute error = 0.34880752812323512564894365205098
relative error = -1 %
Correct digits = -1
h = 0.01
bytes used=44011828, alloc=4324584, time=1.41
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.6102
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 = 0.058
Order of pole (six term test) = -1.073
TOP MAIN SOLVE Loop
x[1] = 0.54
y[1] (analytic) = 0
y[1] (numeric) = 0.35612879142049210932529851881255
absolute error = 0.35612879142049210932529851881255
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.6217
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 = 0.08784
Order of pole (six term test) = -1.073
TOP MAIN SOLVE Loop
x[1] = 0.55
y[1] (analytic) = 0
y[1] (numeric) = 0.36342214056719589525663391448484
absolute error = 0.36342214056719589525663391448484
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.6332
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 = 0.111
Order of pole (six term test) = -1.073
TOP MAIN SOLVE Loop
x[1] = 0.56
y[1] (analytic) = 0
y[1] (numeric) = 0.37068795562833589297210366463059
absolute error = 0.37068795562833589297210366463059
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.6447
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 = 0.131
Order of pole (six term test) = -1.074
TOP MAIN SOLVE Loop
x[1] = 0.57
y[1] (analytic) = 0
y[1] (numeric) = 0.37792660837989744154789850808316
absolute error = 0.37792660837989744154789850808316
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.6563
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 = 0.1492
Order of pole (six term test) = -1.074
TOP MAIN SOLVE Loop
x[1] = 0.58
y[1] (analytic) = 0
y[1] (numeric) = 0.38513846260545638058251261058234
absolute error = 0.38513846260545638058251261058234
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.6678
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 = 0.1661
Order of pole (six term test) = -1.074
TOP MAIN SOLVE Loop
bytes used=48012780, alloc=4324584, time=1.54
x[1] = 0.59
y[1] (analytic) = 0
y[1] (numeric) = 0.39232387437760888974813567593589
absolute error = 0.39232387437760888974813567593589
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.6793
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 = 0.1822
Order of pole (six term test) = -1.074
TOP MAIN SOLVE Loop
x[1] = 0.6
y[1] (analytic) = 0
y[1] (numeric) = 0.39948319232525299235106029681332
absolute error = 0.39948319232525299235106029681332
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.6908
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 = 0.1976
Order of pole (six term test) = -1.074
TOP MAIN SOLVE Loop
x[1] = 0.61
y[1] (analytic) = 0
y[1] (numeric) = 0.40661675788765401708395456774917
absolute error = 0.40661675788765401708395456774917
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.7024
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 = 0.2126
Order of pole (six term test) = -1.074
TOP MAIN SOLVE Loop
x[1] = 0.62
y[1] (analytic) = 0
y[1] (numeric) = 0.41372490555615045773403458679173
absolute error = 0.41372490555615045773403458679173
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.7139
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 = 0.2271
Order of pole (six term test) = -1.074
TOP MAIN SOLVE Loop
x[1] = 0.63
y[1] (analytic) = 0
y[1] (numeric) = 0.42080796310428813194128640662227
absolute error = 0.42080796310428813194128640662227
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.7254
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 = 0.2413
Order of pole (six term test) = -1.074
TOP MAIN SOLVE Loop
x[1] = 0.64
y[1] (analytic) = 0
y[1] (numeric) = 0.4278662518071085045964764255363
absolute error = 0.4278662518071085045964764255363
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.7369
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 = 0.2553
Order of pole (six term test) = -1.074
TOP MAIN SOLVE Loop
bytes used=52014552, alloc=4390108, time=1.67
x[1] = 0.65
y[1] (analytic) = 0
y[1] (numeric) = 0.43490008665026079831580981144084
absolute error = 0.43490008665026079831580981144084
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.7485
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 = 0.269
Order of pole (six term test) = -1.074
TOP MAIN SOLVE Loop
x[1] = 0.66
y[1] (analytic) = 0
y[1] (numeric) = 0.44190977652955643944106462790267
absolute error = 0.44190977652955643944106462790267
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.76
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 = 0.2826
Order of pole (six term test) = -1.074
TOP MAIN SOLVE Loop
x[1] = 0.67
y[1] (analytic) = 0
y[1] (numeric) = 0.44889562444153793564241911055013
absolute error = 0.44889562444153793564241911055013
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.7715
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 = 0.296
Order of pole (six term test) = -1.074
TOP MAIN SOLVE Loop
x[1] = 0.68
y[1] (analytic) = 0
y[1] (numeric) = 0.45585792766559196834449341664232
absolute error = 0.45585792766559196834449341664232
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.783
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 = 0.3093
Order of pole (six term test) = -1.074
TOP MAIN SOLVE Loop
x[1] = 0.69
y[1] (analytic) = 0
y[1] (numeric) = 0.46279697793809788451365359475617
absolute error = 0.46279697793809788451365359475617
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.7946
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 = 0.3224
Order of pole (six term test) = -1.074
TOP MAIN SOLVE Loop
bytes used=56015700, alloc=4390108, time=1.80
x[1] = 0.7
y[1] (analytic) = 0
y[1] (numeric) = 0.46971306161906751183438934186977
absolute error = 0.46971306161906751183438934186977
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.8061
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 = 0.3355
Order of pole (six term test) = -1.074
TOP MAIN SOLVE Loop
x[1] = 0.71
y[1] (analytic) = 0
y[1] (numeric) = 0.47660645985169996594354556379573
absolute error = 0.47660645985169996594354556379573
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.8176
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 = 0.3485
Order of pole (six term test) = -1.074
TOP MAIN SOLVE Loop
x[1] = 0.72
y[1] (analytic) = 0
y[1] (numeric) = 0.48347744871524557268418437457104
absolute error = 0.48347744871524557268418437457104
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.8291
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 = 0.3615
Order of pole (six term test) = -1.074
TOP MAIN SOLVE Loop
x[1] = 0.73
y[1] (analytic) = 0
y[1] (numeric) = 0.49032629937154592961019448897598
absolute error = 0.49032629937154592961019448897598
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.8407
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 = 0.3744
Order of pole (six term test) = -1.074
TOP MAIN SOLVE Loop
x[1] = 0.74
y[1] (analytic) = 0
y[1] (numeric) = 0.49715327820559224531349281902956
absolute error = 0.49715327820559224531349281902956
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.8522
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 = 0.3872
Order of pole (six term test) = -1.074
TOP MAIN SOLVE Loop
x[1] = 0.75
y[1] (analytic) = 0
y[1] (numeric) = 0.50395864696042121392002294853202
absolute error = 0.50395864696042121392002294853202
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.8637
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 = 0.4
Order of pole (six term test) = -1.074
TOP MAIN SOLVE Loop
bytes used=60017860, alloc=4390108, time=1.93
x[1] = 0.76
y[1] (analytic) = 0
y[1] (numeric) = 0.51074266286664661890303048660562
absolute error = 0.51074266286664661890303048660562
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.8752
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 = 0.4127
Order of pole (six term test) = -1.074
TOP MAIN SOLVE Loop
x[1] = 0.77
y[1] (analytic) = 0
y[1] (numeric) = 0.51750557876690544838377245425549
absolute error = 0.51750557876690544838377245425549
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.8868
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 = 0.4255
Order of pole (six term test) = -1.074
TOP MAIN SOLVE Loop
x[1] = 0.78
y[1] (analytic) = 0
y[1] (numeric) = 0.52424764323547939382768686864791
absolute error = 0.52424764323547939382768686864791
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.8983
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 = 0.4382
Order of pole (six term test) = -1.074
TOP MAIN SOLVE Loop
x[1] = 0.79
y[1] (analytic) = 0
y[1] (numeric) = 0.53096910069333606130271941698923
absolute error = 0.53096910069333606130271941698923
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.9098
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 = 0.4509
Order of pole (six term test) = -1.074
TOP MAIN SOLVE Loop
x[1] = 0.8
y[1] (analytic) = 0
y[1] (numeric) = 0.53767019151881892861421714078181
absolute error = 0.53767019151881892861421714078181
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.9214
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 = 0.4635
Order of pole (six term test) = -1.074
TOP MAIN SOLVE Loop
bytes used=64019124, alloc=4390108, time=2.07
x[1] = 0.81
y[1] (analytic) = 0
y[1] (numeric) = 0.54435115215420092407360306229623
absolute error = 0.54435115215420092407360306229623
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.9329
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 = 0.4762
Order of pole (six term test) = -1.074
TOP MAIN SOLVE Loop
x[1] = 0.82
y[1] (analytic) = 0
y[1] (numeric) = 0.55101221520830338550260697511555
absolute error = 0.55101221520830338550260697511555
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.9444
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 = 0.4889
Order of pole (six term test) = -1.074
TOP MAIN SOLVE Loop
x[1] = 0.83
y[1] (analytic) = 0
y[1] (numeric) = 0.55765360955536999295450432227815
absolute error = 0.55765360955536999295450432227815
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.956
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 = 0.5015
Order of pole (six term test) = -1.074
TOP MAIN SOLVE Loop
x[1] = 0.84
y[1] (analytic) = 0
y[1] (numeric) = 0.56427556043037397567630861492222
absolute error = 0.56427556043037397567630861492222
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.9675
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 = 0.5141
Order of pole (six term test) = -1.073
TOP MAIN SOLVE Loop
x[1] = 0.85
y[1] (analytic) = 0
y[1] (numeric) = 0.57087828952092640075386723913083
absolute error = 0.57087828952092640075386723913083
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.979
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 = 0.5268
Order of pole (six term test) = -1.073
TOP MAIN SOLVE Loop
x[1] = 0.86
y[1] (analytic) = 0
y[1] (numeric) = 0.57746201505594359217071122068262
absolute error = 0.57746201505594359217071122068262
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 0.9905
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 = 0.5394
Order of pole (six term test) = -1.073
TOP MAIN SOLVE Loop
bytes used=68020260, alloc=4390108, time=2.20
x[1] = 0.87
y[1] (analytic) = 0
y[1] (numeric) = 0.58402695189122264524041501540742
absolute error = 0.58402695189122264524041501540742
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.002
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 = 0.5521
Order of pole (six term test) = -1.073
TOP MAIN SOLVE Loop
x[1] = 0.88
y[1] (analytic) = 0
y[1] (numeric) = 0.59057331159206553855650877387381
absolute error = 0.59057331159206553855650877387381
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.014
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 = 0.5647
Order of pole (six term test) = -1.073
TOP MAIN SOLVE Loop
x[1] = 0.89
y[1] (analytic) = 0
y[1] (numeric) = 0.59710130251308445464915053122918
absolute error = 0.59710130251308445464915053122918
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.025
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 = 0.5774
Order of pole (six term test) = -1.073
TOP MAIN SOLVE Loop
x[1] = 0.9
y[1] (analytic) = 0
y[1] (numeric) = 0.60361112987531355674576728389863
absolute error = 0.60361112987531355674576728389863
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.037
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 = 0.59
Order of pole (six term test) = -1.073
TOP MAIN SOLVE Loop
x[1] = 0.91
y[1] (analytic) = 0
y[1] (numeric) = 0.61010299584074559166330751603101
absolute error = 0.61010299584074559166330751603101
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.048
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 = 0.6027
Order of pole (six term test) = -1.073
TOP MAIN SOLVE Loop
x[1] = 0.92
y[1] (analytic) = 0
y[1] (numeric) = 0.61657709958440526073922802770408
absolute error = 0.61657709958440526073922802770408
relative error = -1 %
Correct digits = -1
h = 0.01
bytes used=72022456, alloc=4390108, time=2.33
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.06
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 = 0.6153
Order of pole (six term test) = -1.072
TOP MAIN SOLVE Loop
x[1] = 0.93
y[1] (analytic) = 0
y[1] (numeric) = 0.62303363736406528788231547703218
absolute error = 0.62303363736406528788231547703218
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.071
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 = 0.628
Order of pole (six term test) = -1.072
TOP MAIN SOLVE Loop
x[1] = 0.94
y[1] (analytic) = 0
y[1] (numeric) = 0.62947280258770548524643451516155
absolute error = 0.62947280258770548524643451516155
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.083
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 = 0.6407
Order of pole (six term test) = -1.072
TOP MAIN SOLVE Loop
x[1] = 0.95
y[1] (analytic) = 0
y[1] (numeric) = 0.63589478587880984428414528068646
absolute error = 0.63589478587880984428414528068646
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.094
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 = 0.6534
Order of pole (six term test) = -1.072
TOP MAIN SOLVE Loop
x[1] = 0.96
y[1] (analytic) = 0
y[1] (numeric) = 0.64229977513959173698848708357534
absolute error = 0.64229977513959173698848708357534
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.106
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 = 0.6661
Order of pole (six term test) = -1.072
TOP MAIN SOLVE Loop
x[1] = 0.97
y[1] (analytic) = 0
y[1] (numeric) = 0.64868795561223267510485293698418
absolute error = 0.64868795561223267510485293698418
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.117
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 = 0.6788
Order of pole (six term test) = -1.072
TOP MAIN SOLVE Loop
bytes used=76023704, alloc=4390108, time=2.46
x[1] = 0.98
y[1] (analytic) = 0
y[1] (numeric) = 0.65505950993821572207493371639918
absolute error = 0.65505950993821572207493371639918
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.129
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 = 0.6915
Order of pole (six term test) = -1.071
TOP MAIN SOLVE Loop
x[1] = 0.99
y[1] (analytic) = 0
y[1] (numeric) = 0.66141461821583056332533399809124
absolute error = 0.66141461821583056332533399809124
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.14
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 = 0.7043
Order of pole (six term test) = -1.071
TOP MAIN SOLVE Loop
x[1] = 1
y[1] (analytic) = 0
y[1] (numeric) = 0.66775345805592339671748788487261
absolute error = 0.66775345805592339671748788487261
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.152
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 = 0.717
Order of pole (six term test) = -1.071
TOP MAIN SOLVE Loop
x[1] = 1.01
y[1] (analytic) = 0
y[1] (numeric) = 0.67407620463596118948926057076725
absolute error = 0.67407620463596118948926057076725
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.164
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 = 0.7298
Order of pole (six term test) = -1.071
TOP MAIN SOLVE Loop
x[1] = 1.02
y[1] (analytic) = 0
y[1] (numeric) = 0.68038303075247644514108579639966
absolute error = 0.68038303075247644514108579639966
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.175
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 = 0.7426
Order of pole (six term test) = -1.071
TOP MAIN SOLVE Loop
x[1] = 1.03
y[1] (analytic) = 0
y[1] (numeric) = 0.686674106871955418974240403368
absolute error = 0.686674106871955418974240403368
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.187
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 = 0.7553
Order of pole (six term test) = -1.071
TOP MAIN SOLVE Loop
bytes used=80024764, alloc=4455632, time=2.59
x[1] = 1.04
y[1] (analytic) = 0
y[1] (numeric) = 0.69294960118022970101747172123059
absolute error = 0.69294960118022970101747172123059
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.198
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 = 0.7681
Order of pole (six term test) = -1.07
TOP MAIN SOLVE Loop
x[1] = 1.05
y[1] (analytic) = 0
y[1] (numeric) = 0.69920967963042823754386678486906
absolute error = 0.69920967963042823754386678486906
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.21
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 = 0.781
Order of pole (six term test) = -1.07
TOP MAIN SOLVE Loop
x[1] = 1.06
y[1] (analytic) = 0
y[1] (numeric) = 0.70545450598954417588017711812902
absolute error = 0.70545450598954417588017711812902
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.221
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 = 0.7938
Order of pole (six term test) = -1.07
TOP MAIN SOLVE Loop
x[1] = 1.07
y[1] (analytic) = 0
y[1] (numeric) = 0.71168424188366838119876660140558
absolute error = 0.71168424188366838119876660140558
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.233
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 = 0.8066
Order of pole (six term test) = -1.07
TOP MAIN SOLVE Loop
x[1] = 1.08
y[1] (analytic) = 0
y[1] (numeric) = 0.71789904684193907869464805484975
absolute error = 0.71789904684193907869464805484975
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.244
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 = 0.8195
Order of pole (six term test) = -1.07
TOP MAIN SOLVE Loop
bytes used=84027228, alloc=4455632, time=2.72
x[1] = 1.09
y[1] (analytic) = 0
y[1] (numeric) = 0.72409907833925481094213881089573
absolute error = 0.72409907833925481094213881089573
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.256
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 = 0.8324
Order of pole (six term test) = -1.069
TOP MAIN SOLVE Loop
x[1] = 1.1
y[1] (analytic) = 0
y[1] (numeric) = 0.73028449183779575991254456114992
absolute error = 0.73028449183779575991254456114992
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.267
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 = 0.8453
Order of pole (six term test) = -1.069
TOP MAIN SOLVE Loop
x[1] = 1.11
y[1] (analytic) = 0
y[1] (numeric) = 0.73645544082739645833692187347408
absolute error = 0.73645544082739645833692187347408
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.279
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 = 0.8582
Order of pole (six term test) = -1.069
TOP MAIN SOLVE Loop
x[1] = 1.12
y[1] (analytic) = 0
y[1] (numeric) = 0.74261207686481099859432049614207
absolute error = 0.74261207686481099859432049614207
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.29
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 = 0.8711
Order of pole (six term test) = -1.069
TOP MAIN SOLVE Loop
x[1] = 1.13
y[1] (analytic) = 0
y[1] (numeric) = 0.7487545496119100323863666085413
absolute error = 0.7487545496119100323863666085413
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.302
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 = 0.884
Order of pole (six term test) = -1.069
TOP MAIN SOLVE Loop
x[1] = 1.14
y[1] (analytic) = 0
y[1] (numeric) = 0.75488300687284713488585148811905
absolute error = 0.75488300687284713488585148811905
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.313
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 = 0.897
Order of pole (six term test) = -1.068
TOP MAIN SOLVE Loop
bytes used=88028644, alloc=4455632, time=2.86
x[1] = 1.15
y[1] (analytic) = 0
y[1] (numeric) = 0.7609975946302304770171380383122
absolute error = 0.7609975946302304770171380383122
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.325
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 = 0.9099
Order of pole (six term test) = -1.068
TOP MAIN SOLVE Loop
x[1] = 1.16
y[1] (analytic) = 0
y[1] (numeric) = 0.76709845708033420363760452841922
absolute error = 0.76709845708033420363760452841922
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.337
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 = 0.9229
Order of pole (six term test) = -1.068
TOP MAIN SOLVE Loop
x[1] = 1.17
y[1] (analytic) = 0
y[1] (numeric) = 0.77318573666738244860989154048868
absolute error = 0.77318573666738244860989154048868
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.348
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 = 0.9359
Order of pole (six term test) = -1.068
TOP MAIN SOLVE Loop
x[1] = 1.18
y[1] (analytic) = 0
y[1] (numeric) = 0.77925957411693752539394096221576
absolute error = 0.77925957411693752539394096221576
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.36
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 = 0.9489
Order of pole (six term test) = -1.067
TOP MAIN SOLVE Loop
x[1] = 1.19
y[1] (analytic) = 0
y[1] (numeric) = 0.78532010846842250947098648466503
absolute error = 0.78532010846842250947098648466503
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.371
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 = 0.9619
Order of pole (six term test) = -1.067
TOP MAIN SOLVE Loop
bytes used=92029644, alloc=4455632, time=2.99
x[1] = 1.2
y[1] (analytic) = 0
y[1] (numeric) = 0.79136747710680717255602953696215
absolute error = 0.79136747710680717255602953696215
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.383
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 = 0.9749
Order of pole (six term test) = -1.067
TOP MAIN SOLVE Loop
x[1] = 1.21
y[1] (analytic) = 0
y[1] (numeric) = 0.79740181579348503434837440640788
absolute error = 0.79740181579348503434837440640788
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.394
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 = 0.988
Order of pole (six term test) = -1.067
TOP MAIN SOLVE Loop
x[1] = 1.22
y[1] (analytic) = 0
y[1] (numeric) = 0.80342325869636816194918202882353
absolute error = 0.80342325869636816194918202882353
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.406
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 = 1.001
Order of pole (six term test) = -1.067
TOP MAIN SOLVE Loop
x[1] = 1.23
y[1] (analytic) = 0
y[1] (numeric) = 0.80943193841922526671027849292824
absolute error = 0.80943193841922526671027849292824
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.417
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 = 1.014
Order of pole (six term test) = -1.066
TOP MAIN SOLVE Loop
x[1] = 1.24
y[1] (analytic) = 0
y[1] (numeric) = 0.81542798603028762005416221045208
absolute error = 0.81542798603028762005416221045208
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.429
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 = 1.027
Order of pole (six term test) = -1.066
TOP MAIN SOLVE Loop
x[1] = 1.25
y[1] (analytic) = 0
y[1] (numeric) = 0.82141153109014633080531502283197
absolute error = 0.82141153109014633080531502283197
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.44
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 = 1.04
Order of pole (six term test) = -1.066
TOP MAIN SOLVE Loop
bytes used=96031736, alloc=4455632, time=3.12
x[1] = 1.26
y[1] (analytic) = 0
y[1] (numeric) = 0.82738270167896359406676252020645
absolute error = 0.82738270167896359406676252020645
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.452
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 = 1.053
Order of pole (six term test) = -1.066
TOP MAIN SOLVE Loop
x[1] = 1.27
y[1] (analytic) = 0
y[1] (numeric) = 0.83334162442301963310462591234316
absolute error = 0.83334162442301963310462591234316
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.463
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 = 1.067
Order of pole (six term test) = -1.065
TOP MAIN SOLVE Loop
x[1] = 1.28
y[1] (analytic) = 0
y[1] (numeric) = 0.83928842452061620866837407235562
absolute error = 0.83928842452061620866837407235562
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.475
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 = 1.08
Order of pole (six term test) = -1.065
TOP MAIN SOLVE Loop
x[1] = 1.29
y[1] (analytic) = 0
y[1] (numeric) = 0.84522322576735676242558900332127
absolute error = 0.84522322576735676242558900332127
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.487
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 = 1.093
Order of pole (six term test) = -1.065
TOP MAIN SOLVE Loop
x[1] = 1.3
y[1] (analytic) = 0
y[1] (numeric) = 0.8511461505808224906157126452939
absolute error = 0.8511461505808224906157126452939
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.498
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 = 1.106
Order of pole (six term test) = -1.065
TOP MAIN SOLVE Loop
bytes used=100032532, alloc=4455632, time=3.25
x[1] = 1.31
y[1] (analytic) = 0
y[1] (numeric) = 0.85705732002466290864477715667981
absolute error = 0.85705732002466290864477715667981
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.51
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 = 1.119
Order of pole (six term test) = -1.065
TOP MAIN SOLVE Loop
x[1] = 1.32
y[1] (analytic) = 0
y[1] (numeric) = 0.86295685383211876528998075900613
absolute error = 0.86295685383211876528998075900613
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.521
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 = 1.132
Order of pole (six term test) = -1.064
TOP MAIN SOLVE Loop
x[1] = 1.33
y[1] (analytic) = 0
y[1] (numeric) = 0.86884487042899449470858216369781
absolute error = 0.86884487042899449470858216369781
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.533
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 = 1.146
Order of pole (six term test) = -1.064
TOP MAIN SOLVE Loop
x[1] = 1.34
y[1] (analytic) = 0
y[1] (numeric) = 0.87472148695609675390382398616772
absolute error = 0.87472148695609675390382398616772
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.544
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 = 1.159
Order of pole (six term test) = -1.064
TOP MAIN SOLVE Loop
x[1] = 1.35
y[1] (analytic) = 0
y[1] (numeric) = 0.88058681929115498114281536384138
absolute error = 0.88058681929115498114281536384138
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.556
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 = 1.172
Order of pole (six term test) = -1.064
TOP MAIN SOLVE Loop
x[1] = 1.36
y[1] (analytic) = 0
y[1] (numeric) = 0.88644098207023932558988658004995
absolute error = 0.88644098207023932558988658004995
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.567
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 = 1.185
Order of pole (six term test) = -1.063
TOP MAIN SOLVE Loop
bytes used=104033332, alloc=4455632, time=3.39
x[1] = 1.37
y[1] (analytic) = 0
y[1] (numeric) = 0.89228408870869073874129475527963
absolute error = 0.89228408870869073874129475527963
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.579
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 = 1.199
Order of pole (six term test) = -1.063
TOP MAIN SOLVE Loop
x[1] = 1.38
y[1] (analytic) = 0
y[1] (numeric) = 0.89811625142157748283022172200509
absolute error = 0.89811625142157748283022172200509
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.59
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 = 1.212
Order of pole (six term test) = -1.063
TOP MAIN SOLVE Loop
x[1] = 1.39
y[1] (analytic) = 0
y[1] (numeric) = 0.90393758124369179899601706518642
absolute error = 0.90393758124369179899601706518642
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.602
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 = 1.225
Order of pole (six term test) = -1.063
TOP MAIN SOLVE Loop
x[1] = 1.4
y[1] (analytic) = 0
y[1] (numeric) = 0.90974818804909998752941605023574
absolute error = 0.90974818804909998752941605023574
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.613
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 = 1.239
Order of pole (six term test) = -1.062
TOP MAIN SOLVE Loop
x[1] = 1.41
y[1] (analytic) = 0
y[1] (numeric) = 0.91554818057025868283193868018516
absolute error = 0.91554818057025868283193868018516
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.625
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 = 1.252
Order of pole (six term test) = -1.062
TOP MAIN SOLVE Loop
bytes used=108034252, alloc=4455632, time=3.52
x[1] = 1.42
y[1] (analytic) = 0
y[1] (numeric) = 0.92133766641670965583977922903802
absolute error = 0.92133766641670965583977922903802
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.637
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 = 1.265
Order of pole (six term test) = -1.062
TOP MAIN SOLVE Loop
x[1] = 1.43
y[1] (analytic) = 0
y[1] (numeric) = 0.9271167520933650455943051430532
absolute error = 0.9271167520933650455943051430532
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.648
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 = 1.279
Order of pole (six term test) = -1.062
TOP MAIN SOLVE Loop
x[1] = 1.44
y[1] (analytic) = 0
y[1] (numeric) = 0.93288554301839450848046119227244
absolute error = 0.93288554301839450848046119227244
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.66
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 = 1.292
Order of pole (six term test) = -1.061
TOP MAIN SOLVE Loop
x[1] = 1.45
y[1] (analytic) = 0
y[1] (numeric) = 0.93864414354072537753883610199798
absolute error = 0.93864414354072537753883610199798
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.671
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 = 1.305
Order of pole (six term test) = -1.061
TOP MAIN SOLVE Loop
x[1] = 1.46
y[1] (analytic) = 0
y[1] (numeric) = 0.94439265695716654437197018791336
absolute error = 0.94439265695716654437197018791336
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.683
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 = 1.319
Order of pole (six term test) = -1.061
TOP MAIN SOLVE Loop
x[1] = 1.47
y[1] (analytic) = 0
y[1] (numeric) = 0.95013118552916641174001172026672
absolute error = 0.95013118552916641174001172026672
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.694
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 = 1.332
Order of pole (six term test) = -1.061
TOP MAIN SOLVE Loop
bytes used=112035200, alloc=4455632, time=3.66
x[1] = 1.48
y[1] (analytic) = 0
y[1] (numeric) = 0.95585983049921491524599608483318
absolute error = 0.95585983049921491524599608483318
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.706
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 = 1.346
Order of pole (six term test) = -1.06
TOP MAIN SOLVE Loop
x[1] = 1.49
y[1] (analytic) = 0
y[1] (numeric) = 0.96157869210689927685682546181856
absolute error = 0.96157869210689927685682546181856
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.717
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 = 1.359
Order of pole (six term test) = -1.06
TOP MAIN SOLVE Loop
x[1] = 1.5
y[1] (analytic) = 0
y[1] (numeric) = 0.96728786960462283073919596584147
absolute error = 0.96728786960462283073919596584147
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.729
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 = 1.372
Order of pole (six term test) = -1.06
TOP MAIN SOLVE Loop
x[1] = 1.51
y[1] (analytic) = 0
y[1] (numeric) = 0.97298746127299595239152273279279
absolute error = 0.97298746127299595239152273279279
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.74
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 = 1.386
Order of pole (six term test) = -1.06
TOP MAIN SOLVE Loop
x[1] = 1.52
y[1] (analytic) = 0
y[1] (numeric) = 0.97867756443590782473711696037114
absolute error = 0.97867756443590782473711696037114
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.752
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 = 1.399
Order of pole (six term test) = -1.059
TOP MAIN SOLVE Loop
bytes used=116036196, alloc=4455632, time=3.79
x[1] = 1.53
y[1] (analytic) = 0
y[1] (numeric) = 0.98435827547528748915482501415909
absolute error = 0.98435827547528748915482501415909
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.764
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 = 1.413
Order of pole (six term test) = -1.059
TOP MAIN SOLVE Loop
x[1] = 1.54
y[1] (analytic) = 0
y[1] (numeric) = 0.99002968984556235483420206795317
absolute error = 0.99002968984556235483420206795317
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.775
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 = 1.426
Order of pole (six term test) = -1.059
TOP MAIN SOLVE Loop
x[1] = 1.55
y[1] (analytic) = 0
y[1] (numeric) = 0.99569190208782207585334545217044
absolute error = 0.99569190208782207585334545217044
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.787
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 = 1.44
Order of pole (six term test) = -1.059
TOP MAIN SOLVE Loop
x[1] = 1.56
y[1] (analytic) = 0
y[1] (numeric) = 1.0013450058436954515146069440227
absolute error = 1.0013450058436954515146069440227
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.798
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 = 1.453
Order of pole (six term test) = -1.058
TOP MAIN SOLVE Loop
x[1] = 1.57
y[1] (analytic) = 0
y[1] (numeric) = 1.0069890938689477612864926451678
absolute error = 1.0069890938689477612864926451678
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.81
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 = 1.467
Order of pole (six term test) = -1.058
TOP MAIN SOLVE Loop
x[1] = 1.58
y[1] (analytic) = 0
y[1] (numeric) = 1.0126242580468057107618295827354
absolute error = 1.0126242580468057107618295827354
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.821
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 = 1.48
Order of pole (six term test) = -1.058
TOP MAIN SOLVE Loop
bytes used=120037176, alloc=4455632, time=3.92
x[1] = 1.59
y[1] (analytic) = 0
y[1] (numeric) = 1.0182505894010169389468621695869
absolute error = 1.0182505894010169389468621695869
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.833
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 = 1.494
Order of pole (six term test) = -1.058
TOP MAIN SOLVE Loop
x[1] = 1.6
y[1] (analytic) = 0
y[1] (numeric) = 1.0238681781086508195577135875437
absolute error = 1.0238681781086508195577135875437
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.844
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 = 1.507
Order of pole (six term test) = -1.058
TOP MAIN SOLVE Loop
x[1] = 1.61
y[1] (analytic) = 0
y[1] (numeric) = 1.0294771135126470794530935106738
absolute error = 1.0294771135126470794530935106738
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.856
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 = 1.521
Order of pole (six term test) = -1.057
TOP MAIN SOLVE Loop
x[1] = 1.62
y[1] (analytic) = 0
y[1] (numeric) = 1.0350774841341185555267927621293
absolute error = 1.0350774841341185555267927621293
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.867
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 = 1.535
Order of pole (six term test) = -1.057
TOP MAIN SOLVE Loop
x[1] = 1.63
y[1] (analytic) = 0
y[1] (numeric) = 1.0406693776844142169889726338414
absolute error = 1.0406693776844142169889726338414
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.879
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 = 1.548
Order of pole (six term test) = -1.057
TOP MAIN SOLVE Loop
bytes used=124038324, alloc=4455632, time=4.05
x[1] = 1.64
y[1] (analytic) = 0
y[1] (numeric) = 1.0462528810769483926662490616848
absolute error = 1.0462528810769483926662490616848
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.89
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 = 1.562
Order of pole (six term test) = -1.057
TOP MAIN SOLVE Loop
x[1] = 1.65
y[1] (analytic) = 0
y[1] (numeric) = 1.0518280804388019624470513401654
absolute error = 1.0518280804388019624470513401654
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.902
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 = 1.575
Order of pole (six term test) = -1.056
TOP MAIN SOLVE Loop
x[1] = 1.66
y[1] (analytic) = 0
y[1] (numeric) = 1.0573950611221010980050825689143
absolute error = 1.0573950611221010980050825689143
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.914
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 = 1.589
Order of pole (six term test) = -1.056
TOP MAIN SOLVE Loop
x[1] = 1.67
y[1] (analytic) = 0
y[1] (numeric) = 1.0629539077151789701779491519618
absolute error = 1.0629539077151789701779491519618
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.925
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 = 1.603
Order of pole (six term test) = -1.056
TOP MAIN SOLVE Loop
x[1] = 1.68
y[1] (analytic) = 0
y[1] (numeric) = 1.0685047040535256786010981031136
absolute error = 1.0685047040535256786010981031136
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.937
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 = 1.616
Order of pole (six term test) = -1.056
TOP MAIN SOLVE Loop
x[1] = 1.69
y[1] (analytic) = 0
y[1] (numeric) = 1.074047533230531503152270007494
absolute error = 1.074047533230531503152270007494
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.948
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 = 1.63
Order of pole (six term test) = -1.055
TOP MAIN SOLVE Loop
bytes used=128039564, alloc=4521156, time=4.19
x[1] = 1.7
y[1] (analytic) = 0
y[1] (numeric) = 1.0795824776080284262134902285581
absolute error = 1.0795824776080284262134902285581
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.96
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 = 1.644
Order of pole (six term test) = -1.055
TOP MAIN SOLVE Loop
x[1] = 1.71
y[1] (analytic) = 0
y[1] (numeric) = 1.085109618826634729481902613073
absolute error = 1.085109618826634729481902613073
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.971
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 = 1.657
Order of pole (six term test) = -1.055
TOP MAIN SOLVE Loop
x[1] = 1.72
y[1] (analytic) = 0
y[1] (numeric) = 1.0906290378159073288436201365894
absolute error = 1.0906290378159073288436201365894
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.983
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 = 1.671
Order of pole (six term test) = -1.055
TOP MAIN SOLVE Loop
x[1] = 1.73
y[1] (analytic) = 0
y[1] (numeric) = 1.0961408148043063754622076763122
absolute error = 1.0961408148043063754622076763122
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 1.994
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 = 1.685
Order of pole (six term test) = -1.054
TOP MAIN SOLVE Loop
x[1] = 1.74
y[1] (analytic) = 0
y[1] (numeric) = 1.1016450293289765205307569464071
absolute error = 1.1016450293289765205307569464071
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.006
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 = 1.698
Order of pole (six term test) = -1.054
TOP MAIN SOLVE Loop
x[1] = 1.75
y[1] (analytic) = 0
y[1] (numeric) = 1.1071417602453491149079677967574
absolute error = 1.1071417602453491149079677967574
relative error = -1 %
Correct digits = -1
h = 0.01
bytes used=132040816, alloc=4521156, time=4.32
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.017
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 = 1.712
Order of pole (six term test) = -1.054
TOP MAIN SOLVE Loop
x[1] = 1.76
y[1] (analytic) = 0
y[1] (numeric) = 1.1126310857365694929268378125571
absolute error = 1.1126310857365694929268378125571
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.029
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 = 1.726
Order of pole (six term test) = -1.054
TOP MAIN SOLVE Loop
x[1] = 1.77
y[1] (analytic) = 0
y[1] (numeric) = 1.1181130833227533718600996623977
absolute error = 1.1181130833227533718600996623977
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.041
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 = 1.74
Order of pole (six term test) = -1.053
TOP MAIN SOLVE Loop
x[1] = 1.78
y[1] (analytic) = 0
y[1] (numeric) = 1.1235878298700762846876379547631
absolute error = 1.1235878298700762846876379547631
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.052
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 = 1.753
Order of pole (six term test) = -1.053
TOP MAIN SOLVE Loop
x[1] = 1.79
y[1] (analytic) = 0
y[1] (numeric) = 1.1290554015996998537831776925289
absolute error = 1.1290554015996998537831776925289
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.064
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 = 1.767
Order of pole (six term test) = -1.053
TOP MAIN SOLVE Loop
x[1] = 1.8
y[1] (analytic) = 0
y[1] (numeric) = 1.1345158740965386067728266431487
absolute error = 1.1345158740965386067728266431487
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.075
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 = 1.781
Order of pole (six term test) = -1.053
TOP MAIN SOLVE Loop
bytes used=136042788, alloc=4521156, time=4.45
x[1] = 1.81
y[1] (analytic) = 0
y[1] (numeric) = 1.1399693223178709329753449261925
absolute error = 1.1399693223178709329753449261925
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.087
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 = 1.795
Order of pole (six term test) = -1.053
TOP MAIN SOLVE Loop
x[1] = 1.82
y[1] (analytic) = 0
y[1] (numeric) = 1.1454158206017976793782656395395
absolute error = 1.1454158206017976793782656395395
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.098
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 = 1.808
Order of pole (six term test) = -1.052
TOP MAIN SOLVE Loop
x[1] = 1.83
y[1] (analytic) = 0
y[1] (numeric) = 1.150855442675551788906043563924
absolute error = 1.150855442675551788906043563924
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.11
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 = 1.822
Order of pole (six term test) = -1.052
TOP MAIN SOLVE Loop
x[1] = 1.84
y[1] (analytic) = 0
y[1] (numeric) = 1.156288261663662290672705379174
absolute error = 1.156288261663662290672705379174
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.121
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 = 1.836
Order of pole (six term test) = -1.052
TOP MAIN SOLVE Loop
x[1] = 1.85
y[1] (analytic) = 0
y[1] (numeric) = 1.1617143500959758618637806046774
absolute error = 1.1617143500959758618637806046774
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.133
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 = 1.85
Order of pole (six term test) = -1.052
TOP MAIN SOLVE Loop
x[1] = 1.86
y[1] (analytic) = 0
y[1] (numeric) = 1.1671337799155390937474425809998
absolute error = 1.1671337799155390937474425809998
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.144
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 = 1.864
Order of pole (six term test) = -1.051
bytes used=140044696, alloc=4521156, time=4.59
TOP MAIN SOLVE Loop
x[1] = 1.87
y[1] (analytic) = 0
y[1] (numeric) = 1.17254662248634450996444362205
absolute error = 1.17254662248634450996444362205
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.156
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 = 1.877
Order of pole (six term test) = -1.051
TOP MAIN SOLVE Loop
x[1] = 1.88
y[1] (analytic) = 0
y[1] (numeric) = 1.1779529486009433035868434442982
absolute error = 1.1779529486009433035868434442982
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 = 1.891
Order of pole (six term test) = -1.051
TOP MAIN SOLVE Loop
x[1] = 1.89
y[1] (analytic) = 0
y[1] (numeric) = 1.1833528284879276803673374473553
absolute error = 1.1833528284879276803673374473553
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.179
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 = 1.905
Order of pole (six term test) = -1.051
TOP MAIN SOLVE Loop
x[1] = 1.9
y[1] (analytic) = 0
y[1] (numeric) = 1.1887463318192856190289938320003
absolute error = 1.1887463318192856190289938320003
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.191
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 = 1.919
Order of pole (six term test) = -1.05
TOP MAIN SOLVE Loop
x[1] = 1.91
y[1] (analytic) = 0
y[1] (numeric) = 1.1941335277176307852781825381403
absolute error = 1.1941335277176307852781825381403
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.202
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 = 1.933
Order of pole (six term test) = -1.05
TOP MAIN SOLVE Loop
bytes used=144045560, alloc=4521156, time=4.72
x[1] = 1.92
y[1] (analytic) = 0
y[1] (numeric) = 1.1995144847633102643739896386204
absolute error = 1.1995144847633102643739896386204
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.214
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 = 1.947
Order of pole (six term test) = -1.05
TOP MAIN SOLVE Loop
x[1] = 1.93
y[1] (analytic) = 0
y[1] (numeric) = 1.2048892710013927074716354883483
absolute error = 1.2048892710013927074716354883483
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.225
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 = 1.96
Order of pole (six term test) = -1.05
TOP MAIN SOLVE Loop
x[1] = 1.94
y[1] (analytic) = 0
y[1] (numeric) = 1.2102579539485394194949761450432
absolute error = 1.2102579539485394194949761450432
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.237
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 = 1.974
Order of pole (six term test) = -1.05
TOP MAIN SOLVE Loop
x[1] = 1.95
y[1] (analytic) = 0
y[1] (numeric) = 1.215620600599760850906974540929
absolute error = 1.215620600599760850906974540929
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.248
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 = 1.988
Order of pole (six term test) = -1.049
TOP MAIN SOLVE Loop
x[1] = 1.96
y[1] (analytic) = 0
y[1] (numeric) = 1.2209772774350608923631259668403
absolute error = 1.2209772774350608923631259668403
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.26
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 = 2.002
Order of pole (six term test) = -1.049
TOP MAIN SOLVE Loop
x[1] = 1.97
y[1] (analytic) = 0
y[1] (numeric) = 1.2263280504259713097802503358936
absolute error = 1.2263280504259713097802503358936
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.271
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 = 2.016
Order of pole (six term test) = -1.049
bytes used=148047336, alloc=4521156, time=4.85
TOP MAIN SOLVE Loop
x[1] = 1.98
y[1] (analytic) = 0
y[1] (numeric) = 1.2316729850419785977637178082594
absolute error = 1.2316729850419785977637178082594
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.283
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 = 2.03
Order of pole (six term test) = -1.049
TOP MAIN SOLVE Loop
x[1] = 1.99
y[1] (analytic) = 0
y[1] (numeric) = 1.2370121462568454715446798977111
absolute error = 1.2370121462568454715446798977111
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.295
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 = 2.044
Order of pole (six term test) = -1.049
TOP MAIN SOLVE Loop
x[1] = 2
y[1] (analytic) = 0
y[1] (numeric) = 1.242345598554829161522466768887
absolute error = 1.242345598554829161522466768887
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.306
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 = 2.058
Order of pole (six term test) = -1.048
TOP MAIN SOLVE Loop
x[1] = 2.01
y[1] (analytic) = 0
y[1] (numeric) = 1.2476734059367986201257047577451
absolute error = 1.2476734059367986201257047577451
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.318
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 = 2.072
Order of pole (six term test) = -1.048
TOP MAIN SOLVE Loop
x[1] = 2.02
y[1] (analytic) = 0
y[1] (numeric) = 1.2529956319262526979410073537133
absolute error = 1.2529956319262526979410073537133
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.329
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 = 2.086
Order of pole (six term test) = -1.048
TOP MAIN SOLVE Loop
bytes used=152048068, alloc=4521156, time=4.98
x[1] = 2.03
y[1] (analytic) = 0
y[1] (numeric) = 1.2583123395752412948546734129321
absolute error = 1.2583123395752412948546734129321
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.341
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 = 2.1
Order of pole (six term test) = -1.048
TOP MAIN SOLVE Loop
x[1] = 2.04
y[1] (analytic) = 0
y[1] (numeric) = 1.2636235914701914422572379417936
absolute error = 1.2636235914701914422572379417936
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.352
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 = 2.114
Order of pole (six term test) = -1.047
TOP MAIN SOLVE Loop
x[1] = 2.05
y[1] (analytic) = 0
y[1] (numeric) = 1.2689294497376402241215922277866
absolute error = 1.2689294497376402241215922277866
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.364
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 = 2.128
Order of pole (six term test) = -1.047
TOP MAIN SOLVE Loop
x[1] = 2.06
y[1] (analytic) = 0
y[1] (numeric) = 1.2742299760498763979333387954039
absolute error = 1.2742299760498763979333387954039
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.375
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 = 2.142
Order of pole (six term test) = -1.047
TOP MAIN SOLVE Loop
x[1] = 2.07
y[1] (analytic) = 0
y[1] (numeric) = 1.2795252316304925309795924032319
absolute error = 1.2795252316304925309795924032319
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.387
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 = 2.156
Order of pole (six term test) = -1.047
TOP MAIN SOLVE Loop
x[1] = 2.08
y[1] (analytic) = 0
y[1] (numeric) = 1.2848152772598494233439211753869
absolute error = 1.2848152772598494233439211753869
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.399
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 = 2.17
Order of pole (six term test) = -1.047
TOP MAIN SOLVE Loop
bytes used=156049416, alloc=4521156, time=5.11
x[1] = 2.09
y[1] (analytic) = 0
y[1] (numeric) = 1.2901001732804545460666242658819
absolute error = 1.2901001732804545460666242658819
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.41
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 = 2.184
Order of pole (six term test) = -1.046
TOP MAIN SOLVE Loop
x[1] = 2.1
y[1] (analytic) = 0
y[1] (numeric) = 1.2953799796022561812688142398466
absolute error = 1.2953799796022561812688142398466
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.422
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 = 2.198
Order of pole (six term test) = -1.046
TOP MAIN SOLVE Loop
x[1] = 2.11
y[1] (analytic) = 0
y[1] (numeric) = 1.3006547557078549105651605252147
absolute error = 1.3006547557078549105651605252147
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.433
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 = 2.212
Order of pole (six term test) = -1.046
TOP MAIN SOLVE Loop
x[1] = 2.12
y[1] (analytic) = 0
y[1] (numeric) = 1.3059245606576340587645310265718
absolute error = 1.3059245606576340587645310265718
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.445
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 = 2.226
Order of pole (six term test) = -1.046
TOP MAIN SOLVE Loop
x[1] = 2.13
y[1] (analytic) = 0
y[1] (numeric) = 1.3111894530948106616424833534672
absolute error = 1.3111894530948106616424833534672
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.456
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 = 2.24
Order of pole (six term test) = -1.046
TOP MAIN SOLVE Loop
bytes used=160050124, alloc=4521156, time=5.25
x[1] = 2.14
y[1] (analytic) = 0
y[1] (numeric) = 1.3164494912504084894283496148161
absolute error = 1.3164494912504084894283496148161
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.468
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 = 2.254
Order of pole (six term test) = -1.045
TOP MAIN SOLVE Loop
x[1] = 2.15
y[1] (analytic) = 0
y[1] (numeric) = 1.3217047329481546215476187874952
absolute error = 1.3217047329481546215476187874952
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.479
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 = 2.268
Order of pole (six term test) = -1.045
TOP MAIN SOLVE Loop
x[1] = 2.16
y[1] (analytic) = 0
y[1] (numeric) = 1.3269552356093010330638267452044
absolute error = 1.3269552356093010330638267452044
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.491
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 = 2.282
Order of pole (six term test) = -1.045
TOP MAIN SOLVE Loop
x[1] = 2.17
y[1] (analytic) = 0
y[1] (numeric) = 1.332201056257372619140830353828
absolute error = 1.332201056257372619140830353828
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.502
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 = 2.296
Order of pole (six term test) = -1.045
TOP MAIN SOLVE Loop
x[1] = 2.18
y[1] (analytic) = 0
y[1] (numeric) = 1.3374422515228430506649677268342
absolute error = 1.3374422515228430506649677268342
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.514
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 = 2.31
Order of pole (six term test) = -1.045
TOP MAIN SOLVE Loop
x[1] = 2.19
y[1] (analytic) = 0
y[1] (numeric) = 1.3426788776477398218971272812108
absolute error = 1.3426788776477398218971272812108
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.526
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 = 2.324
Order of pole (six term test) = -1.044
TOP MAIN SOLVE Loop
bytes used=164050968, alloc=4521156, time=5.38
x[1] = 2.2
y[1] (analytic) = 0
y[1] (numeric) = 1.3479109904901798196381891642271
absolute error = 1.3479109904901798196381891642271
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.537
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 = 2.338
Order of pole (six term test) = -1.044
TOP MAIN SOLVE Loop
x[1] = 2.21
y[1] (analytic) = 0
y[1] (numeric) = 1.3531386455288367128597352415133
absolute error = 1.3531386455288367128597352415133
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.549
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 = 2.352
Order of pole (six term test) = -1.044
TOP MAIN SOLVE Loop
x[1] = 2.22
y[1] (analytic) = 0
y[1] (numeric) = 1.3583618978673414320484229804952
absolute error = 1.3583618978673414320484229804952
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.56
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 = 2.366
Order of pole (six term test) = -1.044
TOP MAIN SOLVE Loop
x[1] = 2.23
y[1] (analytic) = 0
y[1] (numeric) = 1.3635808022386169786110222188387
absolute error = 1.3635808022386169786110222188387
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.572
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 = 2.38
Order of pole (six term test) = -1.044
TOP MAIN SOLVE Loop
x[1] = 2.24
y[1] (analytic) = 0
y[1] (numeric) = 1.3687954130091487765627845470618
absolute error = 1.3687954130091487765627845470618
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.583
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 = 2.394
Order of pole (six term test) = -1.044
TOP MAIN SOLVE Loop
bytes used=168051920, alloc=4521156, time=5.51
x[1] = 2.25
y[1] (analytic) = 0
y[1] (numeric) = 1.3740057841831917513504031493213
absolute error = 1.3740057841831917513504031493213
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.595
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 = 2.408
Order of pole (six term test) = -1.043
TOP MAIN SOLVE Loop
x[1] = 2.26
y[1] (analytic) = 0
y[1] (numeric) = 1.3792119694069152940190292105049
absolute error = 1.3792119694069152940190292105049
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.606
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 = 2.422
Order of pole (six term test) = -1.043
TOP MAIN SOLVE Loop
x[1] = 2.27
y[1] (analytic) = 0
y[1] (numeric) = 1.3844140219724872429981609779768
absolute error = 1.3844140219724872429981609779768
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.618
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 = 2.437
Order of pole (six term test) = -1.043
TOP MAIN SOLVE Loop
x[1] = 2.28
y[1] (analytic) = 0
y[1] (numeric) = 1.3896119948220979905320214059925
absolute error = 1.3896119948220979905320214059925
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.629
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 = 2.451
Order of pole (six term test) = -1.043
TOP MAIN SOLVE Loop
x[1] = 2.29
y[1] (analytic) = 0
y[1] (numeric) = 1.3948059405519257961953539159653
absolute error = 1.3948059405519257961953539159653
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.641
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 = 2.465
Order of pole (six term test) = -1.043
TOP MAIN SOLVE Loop
x[1] = 2.3
y[1] (analytic) = 0
y[1] (numeric) = 1.399995911416044365995183367033
absolute error = 1.399995911416044365995183367033
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.653
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 = 2.479
Order of pole (six term test) = -1.042
TOP MAIN SOLVE Loop
bytes used=172053456, alloc=4521156, time=5.64
x[1] = 2.31
y[1] (analytic) = 0
y[1] (numeric) = 1.4051819593302737322434991179525
absolute error = 1.4051819593302737322434991179525
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.664
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 = 2.493
Order of pole (six term test) = -1.042
TOP MAIN SOLVE Loop
x[1] = 2.32
y[1] (analytic) = 0
y[1] (numeric) = 1.4103641358759754466761784271897
absolute error = 1.4103641358759754466761784271897
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.676
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 = 2.507
Order of pole (six term test) = -1.042
TOP MAIN SOLVE Loop
x[1] = 2.33
y[1] (analytic) = 0
y[1] (numeric) = 1.4155424923037930771715859829391
absolute error = 1.4155424923037930771715859829391
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.687
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 = 2.521
Order of pole (six term test) = -1.042
TOP MAIN SOLVE Loop
x[1] = 2.34
y[1] (analytic) = 0
y[1] (numeric) = 1.4207170795373389768705841862379
absolute error = 1.4207170795373389768705841862379
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.699
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 = 2.536
Order of pole (six term test) = -1.042
TOP MAIN SOLVE Loop
x[1] = 2.35
y[1] (analytic) = 0
y[1] (numeric) = 1.4258879481768282735011908549689
absolute error = 1.4258879481768282735011908549689
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.71
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 = 2.55
Order of pole (six term test) = -1.042
TOP MAIN SOLVE Loop
bytes used=176054412, alloc=4521156, time=5.77
x[1] = 2.36
y[1] (analytic) = 0
y[1] (numeric) = 1.4310551485026610062494223321408
absolute error = 1.4310551485026610062494223321408
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.722
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 = 2.564
Order of pole (six term test) = -1.041
TOP MAIN SOLVE Loop
x[1] = 2.37
y[1] (analytic) = 0
y[1] (numeric) = 1.4362187304789533175771090236187
absolute error = 1.4362187304789533175771090236187
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.733
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 = 2.578
Order of pole (six term test) = -1.041
TOP MAIN SOLVE Loop
x[1] = 2.38
y[1] (analytic) = 0
y[1] (numeric) = 1.44137874375701858795234718781
absolute error = 1.44137874375701858795234718781
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.745
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 = 2.592
Order of pole (six term test) = -1.041
TOP MAIN SOLVE Loop
x[1] = 2.39
y[1] (analytic) = 0
y[1] (numeric) = 1.4465352376787993825139470014235
absolute error = 1.4465352376787993825139470014235
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.757
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 = 2.606
Order of pole (six term test) = -1.041
TOP MAIN SOLVE Loop
x[1] = 2.4
y[1] (analytic) = 0
y[1] (numeric) = 1.4516882612802510602234366734991
absolute error = 1.4516882612802510602234366734991
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.768
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 = 2.621
Order of pole (six term test) = -1.041
TOP MAIN SOLVE Loop
x[1] = 2.41
y[1] (analytic) = 0
y[1] (numeric) = 1.4568378632946778780530439753027
absolute error = 1.4568378632946778780530439753027
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.78
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 = 2.635
Order of pole (six term test) = -1.041
TOP MAIN SOLVE Loop
bytes used=180055436, alloc=4521156, time=5.91
x[1] = 2.42
y[1] (analytic) = 0
y[1] (numeric) = 1.4619840921560224052022148763962
absolute error = 1.4619840921560224052022148763962
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.791
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 = 2.649
Order of pole (six term test) = -1.04
TOP MAIN SOLVE Loop
x[1] = 2.43
y[1] (analytic) = 0
y[1] (numeric) = 1.4671269960021090452156986280067
absolute error = 1.4671269960021090452156986280067
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.803
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 = 2.663
Order of pole (six term test) = -1.04
TOP MAIN SOLVE Loop
x[1] = 2.44
y[1] (analytic) = 0
y[1] (numeric) = 1.4722666226778424471805077657118
absolute error = 1.4722666226778424471805077657118
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.814
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 = 2.677
Order of pole (six term test) = -1.04
TOP MAIN SOLVE Loop
x[1] = 2.45
y[1] (analytic) = 0
y[1] (numeric) = 1.4774030197383615708950363058849
absolute error = 1.4774030197383615708950363058849
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.826
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 = 2.692
Order of pole (six term test) = -1.04
TOP MAIN SOLVE Loop
x[1] = 2.46
y[1] (analytic) = 0
y[1] (numeric) = 1.4825362344521501550195692321563
absolute error = 1.4825362344521501550195692321563
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.837
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 = 2.706
Order of pole (six term test) = -1.04
TOP MAIN SOLVE Loop
bytes used=184056540, alloc=4521156, time=6.04
x[1] = 2.47
y[1] (analytic) = 0
y[1] (numeric) = 1.487666313804104321721999431095
absolute error = 1.487666313804104321721999431095
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.849
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 = 2.72
Order of pole (six term test) = -1.04
TOP MAIN SOLVE Loop
x[1] = 2.48
y[1] (analytic) = 0
y[1] (numeric) = 1.4927933044985580362148079277336
absolute error = 1.4927933044985580362148079277336
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.861
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 = 2.734
Order of pole (six term test) = -1.04
TOP MAIN SOLVE Loop
x[1] = 2.49
y[1] (analytic) = 0
y[1] (numeric) = 1.497917252962267124828634984772
absolute error = 1.497917252962267124828634984772
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.872
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 = 2.749
Order of pole (six term test) = -1.039
TOP MAIN SOLVE Loop
x[1] = 2.5
y[1] (analytic) = 0
y[1] (numeric) = 1.5030382053473525408737881288174
absolute error = 1.5030382053473525408737881288174
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.884
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 = 2.763
Order of pole (six term test) = -1.039
TOP MAIN SOLVE Loop
x[1] = 2.51
y[1] (analytic) = 0
y[1] (numeric) = 1.5081562075342035534938404555149
absolute error = 1.5081562075342035534938404555149
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.895
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 = 2.777
Order of pole (six term test) = -1.039
TOP MAIN SOLVE Loop
x[1] = 2.52
y[1] (analytic) = 0
y[1] (numeric) = 1.513271305134341521005426230641
absolute error = 1.513271305134341521005426230641
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.907
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 = 2.791
Order of pole (six term test) = -1.039
TOP MAIN SOLVE Loop
bytes used=188057816, alloc=4521156, time=6.17
x[1] = 2.53
y[1] (analytic) = 0
y[1] (numeric) = 1.5183835434932448968361028250782
absolute error = 1.5183835434932448968361028250782
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.918
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 = 2.806
Order of pole (six term test) = -1.039
TOP MAIN SOLVE Loop
x[1] = 2.54
y[1] (analytic) = 0
y[1] (numeric) = 1.523492967693136103108674013531
absolute error = 1.523492967693136103108674013531
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.93
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 = 2.82
Order of pole (six term test) = -1.039
TOP MAIN SOLVE Loop
x[1] = 2.55
y[1] (analytic) = 0
y[1] (numeric) = 1.5285996225557308941668985477409
absolute error = 1.5285996225557308941668985477409
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.941
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 = 2.834
Order of pole (six term test) = -1.039
TOP MAIN SOLVE Loop
x[1] = 2.56
y[1] (analytic) = 0
y[1] (numeric) = 1.5337035526449508198855519733053
absolute error = 1.5337035526449508198855519733053
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.953
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 = 2.848
Order of pole (six term test) = -1.038
TOP MAIN SOLVE Loop
x[1] = 2.57
y[1] (analytic) = 0
y[1] (numeric) = 1.5388048022695993864491450076173
absolute error = 1.5388048022695993864491450076173
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.964
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 = 2.863
Order of pole (six term test) = -1.038
TOP MAIN SOLVE Loop
bytes used=192058660, alloc=4521156, time=6.30
x[1] = 2.58
y[1] (analytic) = 0
y[1] (numeric) = 1.5439034154860025004102591940061
absolute error = 1.5439034154860025004102591940061
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.976
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 = 2.877
Order of pole (six term test) = -1.038
TOP MAIN SOLVE Loop
x[1] = 2.59
y[1] (analytic) = 0
y[1] (numeric) = 1.5489994361006137702427165750288
absolute error = 1.5489994361006137702427165750288
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.988
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 = 2.891
Order of pole (six term test) = -1.038
TOP MAIN SOLVE Loop
x[1] = 2.6
y[1] (analytic) = 0
y[1] (numeric) = 1.554092907672585228279168703204
absolute error = 1.554092907672585228279168703204
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 2.999
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 = 2.906
Order of pole (six term test) = -1.038
TOP MAIN SOLVE Loop
x[1] = 2.61
y[1] (analytic) = 0
y[1] (numeric) = 1.5591838735163040248599145215272
absolute error = 1.5591838735163040248599145215272
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.011
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 = 2.92
Order of pole (six term test) = -1.038
TOP MAIN SOLVE Loop
x[1] = 2.62
y[1] (analytic) = 0
y[1] (numeric) = 1.5642723767038956357128009128086
absolute error = 1.5642723767038956357128009128086
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.022
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 = 2.934
Order of pole (six term test) = -1.038
TOP MAIN SOLVE Loop
x[1] = 2.63
y[1] (analytic) = 0
y[1] (numeric) = 1.5693584600676941130261022191051
absolute error = 1.5693584600676941130261022191051
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.034
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 = 2.948
Order of pole (six term test) = -1.038
TOP MAIN SOLVE Loop
bytes used=196059752, alloc=4521156, time=6.44
x[1] = 2.64
y[1] (analytic) = 0
y[1] (numeric) = 1.5744421662026799003607004535798
absolute error = 1.5744421662026799003607004535798
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.045
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 = 2.963
Order of pole (six term test) = -1.037
TOP MAIN SOLVE Loop
x[1] = 2.65
y[1] (analytic) = 0
y[1] (numeric) = 1.5795235374688857214682804556496
absolute error = 1.5795235374688857214682804556496
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.057
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 = 2.977
Order of pole (six term test) = -1.037
TOP MAIN SOLVE Loop
x[1] = 2.66
y[1] (analytic) = 0
y[1] (numeric) = 1.58460261599377104323239083734
absolute error = 1.58460261599377104323239083734
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.068
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 = 2.991
Order of pole (six term test) = -1.037
TOP MAIN SOLVE Loop
x[1] = 2.67
y[1] (analytic) = 0
y[1] (numeric) = 1.5896794436745656033230654863329
absolute error = 1.5896794436745656033230654863329
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.08
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 = 3.006
Order of pole (six term test) = -1.037
TOP MAIN SOLVE Loop
x[1] = 2.68
y[1] (analytic) = 0
y[1] (numeric) = 1.5947540621805824837473949317521
absolute error = 1.5947540621805824837473949317521
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.092
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 = 3.02
Order of pole (six term test) = -1.037
TOP MAIN SOLVE Loop
bytes used=200062152, alloc=4521156, time=6.57
x[1] = 2.69
y[1] (analytic) = 0
y[1] (numeric) = 1.5998265129555012022822993861497
absolute error = 1.5998265129555012022822993861497
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.103
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 = 3.034
Order of pole (six term test) = -1.037
TOP MAIN SOLVE Loop
x[1] = 2.7
y[1] (analytic) = 0
y[1] (numeric) = 1.6048968372196212847862713494562
absolute error = 1.6048968372196212847862713494562
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.115
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 = 3.049
Order of pole (six term test) = -1.037
TOP MAIN SOLVE Loop
x[1] = 2.71
y[1] (analytic) = 0
y[1] (numeric) = 1.6099650759720867725986735756611
absolute error = 1.6099650759720867725986735756611
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.126
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 = 3.063
Order of pole (six term test) = -1.037
TOP MAIN SOLVE Loop
x[1] = 2.72
y[1] (analytic) = 0
y[1] (numeric) = 1.6150312699930821106431035483541
absolute error = 1.6150312699930821106431035483541
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.138
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 = 3.077
Order of pole (six term test) = -1.036
TOP MAIN SOLVE Loop
x[1] = 2.73
y[1] (analytic) = 0
y[1] (numeric) = 1.6200954598459998534503261105261
absolute error = 1.6200954598459998534503261105261
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.149
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 = 3.092
Order of pole (six term test) = -1.036
TOP MAIN SOLVE Loop
x[1] = 2.74
y[1] (analytic) = 0
y[1] (numeric) = 1.6251576858795806181014364210617
absolute error = 1.6251576858795806181014364210617
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.161
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 = 3.106
Order of pole (six term test) = -1.036
TOP MAIN SOLVE Loop
bytes used=204063408, alloc=4521156, time=6.70
x[1] = 2.75
y[1] (analytic) = 0
y[1] (numeric) = 1.6302179882300257050584931844099
absolute error = 1.6302179882300257050584931844099
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.172
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 = 3.12
Order of pole (six term test) = -1.036
TOP MAIN SOLVE Loop
x[1] = 2.76
y[1] (analytic) = 0
y[1] (numeric) = 1.6352764068230827999932420543949
absolute error = 1.6352764068230827999932420543949
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.184
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 = 3.135
Order of pole (six term test) = -1.036
TOP MAIN SOLVE Loop
x[1] = 2.77
y[1] (analytic) = 0
y[1] (numeric) = 1.6403329813761051620402494309382
absolute error = 1.6403329813761051620402494309382
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.195
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 = 3.149
Order of pole (six term test) = -1.036
TOP MAIN SOLVE Loop
x[1] = 2.78
y[1] (analytic) = 0
y[1] (numeric) = 1.6453877514000846963844346776002
absolute error = 1.6453877514000846963844346776002
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.207
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 = 3.163
Order of pole (six term test) = -1.036
TOP MAIN SOLVE Loop
x[1] = 2.79
y[1] (analytic) = 0
y[1] (numeric) = 1.6504407562016593017403960107319
absolute error = 1.6504407562016593017403960107319
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.219
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 = 3.178
Order of pole (six term test) = -1.036
TOP MAIN SOLVE Loop
bytes used=208064236, alloc=4521156, time=6.83
x[1] = 2.8
y[1] (analytic) = 0
y[1] (numeric) = 1.6554920348850948760879646616802
absolute error = 1.6554920348850948760879646616802
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.23
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 = 3.192
Order of pole (six term test) = -1.036
TOP MAIN SOLVE Loop
x[1] = 2.81
y[1] (analytic) = 0
y[1] (numeric) = 1.6605416263542423569911030367637
absolute error = 1.6605416263542423569911030367637
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.242
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 = 3.207
Order of pole (six term test) = -1.036
TOP MAIN SOLVE Loop
x[1] = 2.82
y[1] (analytic) = 0
y[1] (numeric) = 1.665589569314470165941708347017
absolute error = 1.665589569314470165941708347017
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.253
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 = 3.221
Order of pole (six term test) = -1.035
TOP MAIN SOLVE Loop
x[1] = 2.83
y[1] (analytic) = 0
y[1] (numeric) = 1.6706359022745724194323260158856
absolute error = 1.6706359022745724194323260158856
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.265
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 = 3.235
Order of pole (six term test) = -1.035
TOP MAIN SOLVE Loop
x[1] = 2.84
y[1] (analytic) = 0
y[1] (numeric) = 1.6756806635486532628685557096372
absolute error = 1.6756806635486532628685557096372
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.276
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 = 3.25
Order of pole (six term test) = -1.035
TOP MAIN SOLVE Loop
x[1] = 2.85
y[1] (analytic) = 0
y[1] (numeric) = 1.6807238912579876769794884847529
absolute error = 1.6807238912579876769794884847529
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.288
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 = 3.264
Order of pole (six term test) = -1.035
TOP MAIN SOLVE Loop
bytes used=212065336, alloc=4521156, time=6.96
x[1] = 2.86
y[1] (analytic) = 0
y[1] (numeric) = 1.6857656233328591000693872935752
absolute error = 1.6857656233328591000693872935752
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.299
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 = 3.279
Order of pole (six term test) = -1.035
TOP MAIN SOLVE Loop
x[1] = 2.87
y[1] (analytic) = 0
y[1] (numeric) = 1.6908058975143742032726523739507
absolute error = 1.6908058975143742032726523739507
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.311
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 = 3.293
Order of pole (six term test) = -1.035
TOP MAIN SOLVE Loop
x[1] = 2.88
y[1] (analytic) = 0
y[1] (numeric) = 1.6958447513562551499236287569618
absolute error = 1.6958447513562551499236287569618
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.323
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 = 3.307
Order of pole (six term test) = -1.035
TOP MAIN SOLVE Loop
x[1] = 2.89
y[1] (analytic) = 0
y[1] (numeric) = 1.7008822222266096642298366870579
absolute error = 1.7008822222266096642298366870579
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.334
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 = 3.322
Order of pole (six term test) = -1.035
TOP MAIN SOLVE Loop
x[1] = 2.9
y[1] (analytic) = 0
y[1] (numeric) = 1.7059183473096792286386463253517
absolute error = 1.7059183473096792286386463253517
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.346
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 = 3.336
Order of pole (six term test) = -1.035
TOP MAIN SOLVE Loop
bytes used=216066532, alloc=4521156, time=7.10
x[1] = 2.91
y[1] (analytic) = 0
y[1] (numeric) = 1.7109531636075657236102698913751
absolute error = 1.7109531636075657236102698913751
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.357
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 = 3.351
Order of pole (six term test) = -1.035
TOP MAIN SOLVE Loop
x[1] = 2.92
y[1] (analytic) = 0
y[1] (numeric) = 1.7159867079419368179512839940323
absolute error = 1.7159867079419368179512839940323
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.369
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 = 3.365
Order of pole (six term test) = -1.035
TOP MAIN SOLVE Loop
x[1] = 2.93
y[1] (analytic) = 0
y[1] (numeric) = 1.721019016955710412419878795321
absolute error = 1.721019016955710412419878795321
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.38
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 = 3.379
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
x[1] = 2.94
y[1] (analytic) = 0
y[1] (numeric) = 1.7260501271147184339838927690724
absolute error = 1.7260501271147184339838927690724
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.392
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 = 3.394
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
x[1] = 2.95
y[1] (analytic) = 0
y[1] (numeric) = 1.7310800747093502728927411728401
absolute error = 1.7310800747093502728927411728401
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.403
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 = 3.408
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
x[1] = 2.96
y[1] (analytic) = 0
y[1] (numeric) = 1.7361088958561761496119647587842
absolute error = 1.7361088958561761496119647587842
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.415
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 = 3.423
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
bytes used=220067560, alloc=4521156, time=7.23
x[1] = 2.97
y[1] (analytic) = 0
y[1] (numeric) = 1.7411366264995506936617651238316
absolute error = 1.7411366264995506936617651238316
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.427
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 = 3.437
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
x[1] = 2.98
y[1] (analytic) = 0
y[1] (numeric) = 1.7461633024131970114960753263699
absolute error = 1.7461633024131970114960753263699
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.438
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 = 3.452
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
x[1] = 2.99
y[1] (analytic) = 0
y[1] (numeric) = 1.7511889592017715157540262747129
absolute error = 1.7511889592017715157540262747129
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.45
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 = 3.466
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
x[1] = 3
y[1] (analytic) = 0
y[1] (numeric) = 1.756213632302409783508762642871
absolute error = 1.756213632302409783508762642871
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.461
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 = 3.48
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
x[1] = 3.01
y[1] (analytic) = 0
y[1] (numeric) = 1.7612373569862537065271509119734
absolute error = 1.7612373569862537065271509119734
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.473
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 = 3.495
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
bytes used=224068824, alloc=4521156, time=7.36
x[1] = 3.02
y[1] (analytic) = 0
y[1] (numeric) = 1.7662601683599601920357814298232
absolute error = 1.7662601683599601920357814298232
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.484
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 = 3.509
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
x[1] = 3.03
y[1] (analytic) = 0
y[1] (numeric) = 1.7712821013671916680616298247838
absolute error = 1.7712821013671916680616298247838
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.496
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 = 3.524
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
x[1] = 3.04
y[1] (analytic) = 0
y[1] (numeric) = 1.7763031907900886430777015011674
absolute error = 1.7763031907900886430777015011674
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.507
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 = 3.538
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
x[1] = 3.05
y[1] (analytic) = 0
y[1] (numeric) = 1.7813234712507245654328824954558
absolute error = 1.7813234712507245654328824954558
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.519
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 = 3.553
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
x[1] = 3.06
y[1] (analytic) = 0
y[1] (numeric) = 1.786342977212543223879060687947
absolute error = 1.786342977212543223879060687947
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.531
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 = 3.567
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
x[1] = 3.07
y[1] (analytic) = 0
y[1] (numeric) = 1.7913617429817789264254154573176
absolute error = 1.7913617429817789264254154573176
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.542
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 = 3.582
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
bytes used=228069676, alloc=4521156, time=7.49
x[1] = 3.08
y[1] (analytic) = 0
y[1] (numeric) = 1.7963798027088596907477042389381
absolute error = 1.7963798027088596907477042389381
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.554
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 = 3.596
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
x[1] = 3.09
y[1] (analytic) = 0
y[1] (numeric) = 1.801397190389793675457553217571
absolute error = 1.801397190389793675457553217571
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.565
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 = 3.611
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.1
y[1] (analytic) = 0
y[1] (numeric) = 1.8064139398675390776913864528287
absolute error = 1.8064139398675390776913864528287
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.577
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 = 3.625
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.11
y[1] (analytic) = 0
y[1] (numeric) = 1.8114300848333577187089494066845
absolute error = 1.8114300848333577187089494066845
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.588
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 = 3.639
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.12
y[1] (analytic) = 0
y[1] (numeric) = 1.8164456588281525354956904876663
absolute error = 1.8164456588281525354956904876663
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.6
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 = 3.654
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
bytes used=232070932, alloc=4521156, time=7.62
x[1] = 3.13
y[1] (analytic) = 0
y[1] (numeric) = 1.8214606952437891927398929884047
absolute error = 1.8214606952437891927398929884047
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.611
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 = 3.668
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.14
y[1] (analytic) = 0
y[1] (numeric) = 1.8264752273244020260027773314388
absolute error = 1.8264752273244020260027773314388
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.623
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 = 3.683
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.15
y[1] (analytic) = 0
y[1] (numeric) = 1.8314892881676845234162388151224
absolute error = 1.8314892881676845234162388151224
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.634
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 = 3.697
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.16
y[1] (analytic) = 0
y[1] (numeric) = 1.8365029107261645498269081569178
absolute error = 1.8365029107261645498269081569178
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.646
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 = 3.712
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.17
y[1] (analytic) = 0
y[1] (numeric) = 1.8415161278084645139553191435769
absolute error = 1.8415161278084645139553191435769
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.658
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 = 3.726
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.18
y[1] (analytic) = 0
y[1] (numeric) = 1.8465289720805466758536755804006
absolute error = 1.8465289720805466758536755804006
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.669
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 = 3.741
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
bytes used=236072036, alloc=4521156, time=7.75
x[1] = 3.19
y[1] (analytic) = 0
y[1] (numeric) = 1.8515414760669437887236012655506
absolute error = 1.8515414760669437887236012655506
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.681
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 = 3.755
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.2
y[1] (analytic) = 0
y[1] (numeric) = 1.8565536721519752659949404625702
absolute error = 1.8565536721519752659949404625702
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.692
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 = 3.77
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.21
y[1] (analytic) = 0
y[1] (numeric) = 1.861565592580949061466795645833
absolute error = 1.861565592580949061466795645833
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.704
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 = 3.784
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.22
y[1] (analytic) = 0
y[1] (numeric) = 1.8665772694613494472712212972974
absolute error = 1.8665772694613494472712212972974
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.715
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 = 3.799
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.23
y[1] (analytic) = 0
y[1] (numeric) = 1.8715887347640108714370472512521
absolute error = 1.8715887347640108714370472512521
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.727
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 = 3.813
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
bytes used=240074292, alloc=4521156, time=7.89
x[1] = 3.24
y[1] (analytic) = 0
y[1] (numeric) = 1.876600020324278073904924481195
absolute error = 1.876600020324278073904924481195
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.738
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 = 3.828
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.25
y[1] (analytic) = 0
y[1] (numeric) = 1.8816111578431526369736433312008
absolute error = 1.8816111578431526369736433312008
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.75
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 = 3.842
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.26
y[1] (analytic) = 0
y[1] (numeric) = 1.8866221788884261433408722540464
absolute error = 1.8866221788884261433408722540464
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.762
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 = 3.857
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.27
y[1] (analytic) = 0
y[1] (numeric) = 1.8916331148958001121375367487024
absolute error = 1.8916331148958001121375367487024
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.773
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 = 3.871
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.28
y[1] (analytic) = 0
y[1] (numeric) = 1.896643997169992880642964580793
absolute error = 1.896643997169992880642964580793
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.785
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 = 3.886
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.29
y[1] (analytic) = 0
y[1] (numeric) = 1.9016548568858335967065535012187
absolute error = 1.9016548568858335967065535012187
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.796
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 = 3.901
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
bytes used=244075028, alloc=4521156, time=8.02
x[1] = 3.3
y[1] (analytic) = 0
y[1] (numeric) = 1.9066657250893434842899875618212
absolute error = 1.9066657250893434842899875618212
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.808
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 = 3.915
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.31
y[1] (analytic) = 0
y[1] (numeric) = 1.9116766326988045419808800705318
absolute error = 1.9116766326988045419808800705318
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.819
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 = 3.93
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.32
y[1] (analytic) = 0
y[1] (numeric) = 1.9166876105058158318131231227547
absolute error = 1.9166876105058158318131231227547
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.831
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 = 3.944
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.33
y[1] (analytic) = 0
y[1] (numeric) = 1.9216986891763375132601682729982
absolute error = 1.9216986891763375132601682729982
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.842
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 = 3.959
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.34
y[1] (analytic) = 0
y[1] (numeric) = 1.9267098992517227748439672733708
absolute error = 1.9267098992517227748439672733708
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.854
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 = 3.973
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
bytes used=248076024, alloc=4521156, time=8.15
x[1] = 3.35
y[1] (analytic) = 0
y[1] (numeric) = 1.9317212711497378134234064749967
absolute error = 1.9317212711497378134234064749967
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.866
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 = 3.988
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.36
y[1] (analytic) = 0
y[1] (numeric) = 1.9367328351655700088908369735048
absolute error = 1.9367328351655700088908369735048
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.877
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 = 4.002
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.37
y[1] (analytic) = 0
y[1] (numeric) = 1.9417446214728244397128207136229
absolute error = 1.9417446214728244397128207136229
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.889
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 = 4.017
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.38
y[1] (analytic) = 0
y[1] (numeric) = 1.9467566601245088825005881130449
absolute error = 1.9467566601245088825005881130449
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.9
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 = 4.031
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.39
y[1] (analytic) = 0
y[1] (numeric) = 1.9517689810540074365860640365761
absolute error = 1.9517689810540074365860640365761
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.912
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 = 4.046
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.4
y[1] (analytic) = 0
y[1] (numeric) = 1.9567816140760429124098154540474
absolute error = 1.9567816140760429124098154540474
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.923
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 = 4.06
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
bytes used=252077020, alloc=4521156, time=8.29
x[1] = 3.41
y[1] (analytic) = 0
y[1] (numeric) = 1.9617945888876281203970752030567
absolute error = 1.9617945888876281203970752030567
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.935
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 = 4.075
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.42
y[1] (analytic) = 0
y[1] (numeric) = 1.9668079350690061949062908230017
absolute error = 1.9668079350690061949062908230017
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.946
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 = 4.09
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.43
y[1] (analytic) = 0
y[1] (numeric) = 1.9718216820845800857806433094417
absolute error = 1.9718216820845800857806433094417
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.958
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 = 4.104
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.44
y[1] (analytic) = 0
y[1] (numeric) = 1.9768358592838313480159042455687
absolute error = 1.9768358592838313480159042455687
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.97
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 = 4.119
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.45
y[1] (analytic) = 0
y[1] (numeric) = 1.981850495902228358077095513706
absolute error = 1.981850495902228358077095513706
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.981
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 = 4.133
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
bytes used=256078040, alloc=4521156, time=8.42
x[1] = 3.46
y[1] (analytic) = 0
y[1] (numeric) = 1.986865621062124083450945643206
absolute error = 1.986865621062124083450945643206
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 3.993
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 = 4.148
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.47
y[1] (analytic) = 0
y[1] (numeric) = 1.991881263773643530110379880526
absolute error = 1.991881263773643530110379880526
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.004
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 = 4.162
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.48
y[1] (analytic) = 0
y[1] (numeric) = 1.9968974529355609906905329980549
absolute error = 1.9968974529355609906905329980549
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.016
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 = 4.177
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.49
y[1] (analytic) = 0
y[1] (numeric) = 2.00191421733616721433234664245
absolute error = 2.00191421733616721433234664245
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.027
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 = 4.192
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.5
y[1] (analytic) = 0
y[1] (numeric) = 2.0069315856541266173390344214534
absolute error = 2.0069315856541266173390344214534
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.039
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 = 4.206
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.51
y[1] (analytic) = 0
y[1] (numeric) = 2.0119495864593246520119111035855
absolute error = 2.0119495864593246520119111035855
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.05
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) = -1.033
TOP MAIN SOLVE Loop
bytes used=260078800, alloc=4521156, time=8.55
x[1] = 3.52
y[1] (analytic) = 0
y[1] (numeric) = 2.0169682482137054492846454289863
absolute error = 2.0169682482137054492846454289863
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.062
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 = 4.235
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.53
y[1] (analytic) = 0
y[1] (numeric) = 2.0219875992720998490582818979049
absolute error = 2.0219875992720998490582818979049
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.073
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 = 4.25
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.54
y[1] (analytic) = 0
y[1] (numeric) = 2.0270076678830439304527725639439
absolute error = 2.0270076678830439304527725639439
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.085
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 = 4.264
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.55
y[1] (analytic) = 0
y[1] (numeric) = 2.0320284821895881525336662502559
absolute error = 2.0320284821895881525336662502559
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.097
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 = 4.279
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.56
y[1] (analytic) = 0
y[1] (numeric) = 2.0370500702300972144444342047277
absolute error = 2.0370500702300972144444342047277
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.108
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 = 4.294
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
bytes used=264079872, alloc=4521156, time=8.68
x[1] = 3.57
y[1] (analytic) = 0
y[1] (numeric) = 2.0420724599390407422750956871651
absolute error = 2.0420724599390407422750956871651
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.12
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 = 4.308
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.58
y[1] (analytic) = 0
y[1] (numeric) = 2.0470956791477749084257848736242
absolute error = 2.0470956791477749084257848736242
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.131
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 = 4.323
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.59
y[1] (analytic) = 0
y[1] (numeric) = 2.0521197555853150876791248467056
absolute error = 2.0521197555853150876791248467056
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.143
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 = 4.337
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.6
y[1] (analytic) = 0
y[1] (numeric) = 2.0571447168790996526772106183316
absolute error = 2.0571447168790996526772106183316
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.154
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 = 4.352
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.61
y[1] (analytic) = 0
y[1] (numeric) = 2.0621705905557450100071283262804
absolute error = 2.0621705905557450100071283262804
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.166
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 = 4.367
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.62
y[1] (analytic) = 0
y[1] (numeric) = 2.0671974040417919766327408039698
absolute error = 2.0671974040417919766327408039698
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.177
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 = 4.381
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
bytes used=268081248, alloc=4521156, time=8.81
x[1] = 3.63
y[1] (analytic) = 0
y[1] (numeric) = 2.0722251846644435949694508255197
absolute error = 2.0722251846644435949694508255197
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.189
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 = 4.396
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.64
y[1] (analytic) = 0
y[1] (numeric) = 2.0772539596522944834823237092392
absolute error = 2.0772539596522944834823237092392
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.201
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 = 4.41
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.65
y[1] (analytic) = 0
y[1] (numeric) = 2.0822837561360518182958326367447
absolute error = 2.0822837561360518182958326367447
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.212
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 = 4.425
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.66
y[1] (analytic) = 0
y[1] (numeric) = 2.0873146011492480399351155405005
absolute error = 2.0873146011492480399351155405005
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.224
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 = 4.44
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.67
y[1] (analytic) = 0
y[1] (numeric) = 2.092346521628945377973544513876
absolute error = 2.092346521628945377973544513876
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.235
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 = 4.454
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
bytes used=272083700, alloc=4586680, time=8.94
x[1] = 3.68
y[1] (analytic) = 0
y[1] (numeric) = 2.0973795444164322850391601930456
absolute error = 2.0973795444164322850391601930456
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.247
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 = 4.469
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.69
y[1] (analytic) = 0
y[1] (numeric) = 2.1024136962579118703326769966515
absolute error = 2.1024136962579118703326769966515
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.258
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 = 4.483
Order of pole (six term test) = -1.033
TOP MAIN SOLVE Loop
x[1] = 3.7
y[1] (analytic) = 0
y[1] (numeric) = 2.1074490038051824215318925556161
absolute error = 2.1074490038051824215318925556161
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.27
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 = 4.498
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
x[1] = 3.71
y[1] (analytic) = 0
y[1] (numeric) = 2.1124854936163101027010174796591
absolute error = 2.1124854936163101027010174796591
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.281
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 = 4.513
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
x[1] = 3.72
y[1] (analytic) = 0
y[1] (numeric) = 2.1175231921562939145882702105666
absolute error = 2.1175231921562939145882702105666
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.293
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 = 4.527
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
x[1] = 3.73
y[1] (analytic) = 0
y[1] (numeric) = 2.1225621257977230024806553710353
absolute error = 2.1225621257977230024806553710353
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.305
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 = 4.542
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
bytes used=276085672, alloc=4586680, time=9.08
x[1] = 3.74
y[1] (analytic) = 0
y[1] (numeric) = 2.1276023208214263955907706286448
absolute error = 2.1276023208214263955907706286448
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.316
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 = 4.557
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
x[1] = 3.75
y[1] (analytic) = 0
y[1] (numeric) = 2.1326438034171152607763829766758
absolute error = 2.1326438034171152607763829766758
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.328
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 = 4.571
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
x[1] = 3.76
y[1] (analytic) = 0
y[1] (numeric) = 2.1376865996840177522390050270006
absolute error = 2.1376865996840177522390050270006
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.339
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 = 4.586
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
x[1] = 3.77
y[1] (analytic) = 0
y[1] (numeric) = 2.1427307356315065377124179784415
absolute error = 2.1427307356315065377124179784415
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.351
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 = 4.6
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
x[1] = 3.78
y[1] (analytic) = 0
y[1] (numeric) = 2.1477762371797190805356707617541
absolute error = 2.1477762371797190805356707617541
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.362
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 = 4.615
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
bytes used=280086776, alloc=4586680, time=9.21
x[1] = 3.79
y[1] (analytic) = 0
y[1] (numeric) = 2.1528231301601707559071825095399
absolute error = 2.1528231301601707559071825095399
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.374
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 = 4.63
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
x[1] = 3.8
y[1] (analytic) = 0
y[1] (numeric) = 2.157871440316360878536843458769
absolute error = 2.157871440316360878536843458769
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.385
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 = 4.644
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
x[1] = 3.81
y[1] (analytic) = 0
y[1] (numeric) = 2.1629211933043717178511104540271
absolute error = 2.1629211933043717178511104540271
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.397
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 = 4.659
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
x[1] = 3.82
y[1] (analytic) = 0
y[1] (numeric) = 2.1679724146934605758616972834944
absolute error = 2.1679724146934605758616972834944
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.409
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 = 4.674
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
x[1] = 3.83
y[1] (analytic) = 0
y[1] (numeric) = 2.1730251299666450017812439950718
absolute error = 2.1730251299666450017812439950718
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.42
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 = 4.688
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
x[1] = 3.84
y[1] (analytic) = 0
y[1] (numeric) = 2.1780793645212812164589967371733
absolute error = 2.1780793645212812164589967371733
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.432
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 = 4.703
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
bytes used=284087996, alloc=4586680, time=9.34
x[1] = 3.85
y[1] (analytic) = 0
y[1] (numeric) = 2.1831351436696358187157308004908
absolute error = 2.1831351436696358187157308004908
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.443
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 = 4.718
Order of pole (six term test) = -1.034
TOP MAIN SOLVE Loop
x[1] = 3.86
y[1] (analytic) = 0
y[1] (numeric) = 2.1881924926394508446796011241805
absolute error = 2.1881924926394508446796011241805
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.455
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 = 4.732
Order of pole (six term test) = -1.035
TOP MAIN SOLVE Loop
x[1] = 3.87
y[1] (analytic) = 0
y[1] (numeric) = 2.1932514365745022502630096095736
absolute error = 2.1932514365745022502630096095736
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.466
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 = 4.747
Order of pole (six term test) = -1.035
TOP MAIN SOLVE Loop
x[1] = 3.88
y[1] (analytic) = 0
y[1] (numeric) = 2.1983120005351518859746463631067
absolute error = 2.1983120005351518859746463631067
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.478
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 = 4.761
Order of pole (six term test) = -1.035
TOP MAIN SOLVE Loop
x[1] = 3.89
y[1] (analytic) = 0
y[1] (numeric) = 2.2033742094988930323303076998949
absolute error = 2.2033742094988930323303076998949
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.489
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 = 4.776
Order of pole (six term test) = -1.035
TOP MAIN SOLVE Loop
bytes used=288089096, alloc=4586680, time=9.48
x[1] = 3.9
y[1] (analytic) = 0
y[1] (numeric) = 2.2084380883608895632106384984407
absolute error = 2.2084380883608895632106384984407
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.501
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 = 4.791
Order of pole (six term test) = -1.035
TOP MAIN SOLVE Loop
x[1] = 3.91
y[1] (analytic) = 0
y[1] (numeric) = 2.2135036619345088036133171733629
absolute error = 2.2135036619345088036133171733629
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.512
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 = 4.805
Order of pole (six term test) = -1.035
TOP MAIN SOLVE Loop
x[1] = 3.92
y[1] (analytic) = 0
y[1] (numeric) = 2.2185709549518481473611306117852
absolute error = 2.2185709549518481473611306117852
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.524
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 = 4.82
Order of pole (six term test) = -1.035
TOP MAIN SOLVE Loop
x[1] = 3.93
y[1] (analytic) = 0
y[1] (numeric) = 2.2236399920642554994556118728776
absolute error = 2.2236399920642554994556118728776
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.536
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 = 4.835
Order of pole (six term test) = -1.035
TOP MAIN SOLVE Loop
x[1] = 3.94
y[1] (analytic) = 0
y[1] (numeric) = 2.2287107978428436069081786133612
absolute error = 2.2287107978428436069081786133612
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.547
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 = 4.849
Order of pole (six term test) = -1.035
TOP MAIN SOLVE Loop
x[1] = 3.95
y[1] (analytic) = 0
y[1] (numeric) = 2.2337833967789983410367636476867
absolute error = 2.2337833967789983410367636476867
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.559
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 = 4.864
Order of pole (six term test) = -1.035
TOP MAIN SOLVE Loop
bytes used=292090220, alloc=4586680, time=9.61
x[1] = 3.96
y[1] (analytic) = 0
y[1] (numeric) = 2.2388578132848809933855244721849
absolute error = 2.2388578132848809933855244721849
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.57
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 = 4.879
Order of pole (six term test) = -1.035
TOP MAIN SOLVE Loop
x[1] = 3.97
y[1] (analytic) = 0
y[1] (numeric) = 2.2439340716939246466081146721018
absolute error = 2.2439340716939246466081146721018
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.582
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 = 4.893
Order of pole (six term test) = -1.036
TOP MAIN SOLVE Loop
x[1] = 3.98
y[1] (analytic) = 0
y[1] (numeric) = 2.2490121962613246808509604718273
absolute error = 2.2490121962613246808509604718273
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.593
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 = 4.908
Order of pole (six term test) = -1.036
TOP MAIN SOLVE Loop
x[1] = 3.99
y[1] (analytic) = 0
y[1] (numeric) = 2.2540922111645234753817786420252
absolute error = 2.2540922111645234753817786420252
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.605
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 = 4.923
Order of pole (six term test) = -1.036
TOP MAIN SOLVE Loop
x[1] = 4
y[1] (analytic) = 0
y[1] (numeric) = 2.2591741405036893644299705722726
absolute error = 2.2591741405036893644299705722726
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.616
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 = 4.937
Order of pole (six term test) = -1.036
TOP MAIN SOLVE Loop
bytes used=296091268, alloc=4586680, time=9.74
x[1] = 4.01
y[1] (analytic) = 0
y[1] (numeric) = 2.2642580083021899054393091475021
absolute error = 2.2642580083021899054393091475021
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.628
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 = 4.952
Order of pole (six term test) = -1.036
TOP MAIN SOLVE Loop
x[1] = 4.02
y[1] (analytic) = 0
y[1] (numeric) = 2.2693438385070595171792821852501
absolute error = 2.2693438385070595171792821852501
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.64
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 = 4.967
Order of pole (six term test) = -1.036
TOP MAIN SOLVE Loop
x[1] = 4.03
y[1] (analytic) = 0
y[1] (numeric) = 2.2744316549894615444193550133131
absolute error = 2.2744316549894615444193550133131
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.651
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 = 4.981
Order of pole (six term test) = -1.036
TOP MAIN SOLVE Loop
x[1] = 4.04
y[1] (analytic) = 0
y[1] (numeric) = 2.2795214815451448051400559715979
absolute error = 2.2795214815451448051400559715979
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.663
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 = 4.996
Order of pole (six term test) = -1.036
TOP MAIN SOLVE Loop
x[1] = 4.05
y[1] (analytic) = 0
y[1] (numeric) = 2.2846133418948946755359670528379
absolute error = 2.2846133418948946755359670528379
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.674
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 = 5.011
Order of pole (six term test) = -1.036
TOP MAIN SOLVE Loop
x[1] = 4.06
y[1] (analytic) = 0
y[1] (numeric) = 2.2897072596849787673582164739417
absolute error = 2.2897072596849787673582164739417
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.686
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 = 5.025
Order of pole (six term test) = -1.036
TOP MAIN SOLVE Loop
bytes used=300092484, alloc=4586680, time=9.88
x[1] = 4.07
y[1] (analytic) = 0
y[1] (numeric) = 2.2948032584875872514477235961661
absolute error = 2.2948032584875872514477235961661
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.697
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 = 5.04
Order of pole (six term test) = -1.037
TOP MAIN SOLVE Loop
x[1] = 4.08
y[1] (analytic) = 0
y[1] (numeric) = 2.2999013618012678806250460862902
absolute error = 2.2999013618012678806250460862902
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.709
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 = 5.055
Order of pole (six term test) = -1.037
TOP MAIN SOLVE Loop
x[1] = 4.09
y[1] (analytic) = 0
y[1] (numeric) = 2.3050015930513557644280351394732
absolute error = 2.3050015930513557644280351394732
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.72
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 = 5.069
Order of pole (six term test) = -1.037
TOP MAIN SOLVE Loop
x[1] = 4.1
y[1] (analytic) = 0
y[1] (numeric) = 2.3101039755903979475244312989507
absolute error = 2.3101039755903979475244312989507
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.732
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 = 5.084
Order of pole (six term test) = -1.037
TOP MAIN SOLVE Loop
x[1] = 4.11
y[1] (analytic) = 0
y[1] (numeric) = 2.3152085326985728429728488818975
absolute error = 2.3152085326985728429728488818975
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.743
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 = 5.099
Order of pole (six term test) = -1.037
TOP MAIN SOLVE Loop
bytes used=304093444, alloc=4586680, time=10.01
x[1] = 4.12
y[1] (analytic) = 0
y[1] (numeric) = 2.3203152875841045708621227904772
absolute error = 2.3203152875841045708621227904772
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.755
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 = 5.114
Order of pole (six term test) = -1.037
TOP MAIN SOLVE Loop
x[1] = 4.13
y[1] (analytic) = 0
y[1] (numeric) = 2.3254242633836722522255525719574
absolute error = 2.3254242633836722522255525719574
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.767
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 = 5.128
Order of pole (six term test) = -1.037
TOP MAIN SOLVE Loop
x[1] = 4.14
y[1] (analytic) = 0
y[1] (numeric) = 2.3305354831628143075030034189125
absolute error = 2.3305354831628143075030034189125
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.778
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 = 5.143
Order of pole (six term test) = -1.037
TOP MAIN SOLVE Loop
x[1] = 4.15
y[1] (analytic) = 0
y[1] (numeric) = 2.3356489699163278082099441300238
absolute error = 2.3356489699163278082099441300238
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.79
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 = 5.158
Order of pole (six term test) = -1.037
TOP MAIN SOLVE Loop
x[1] = 4.16
y[1] (analytic) = 0
y[1] (numeric) = 2.3407647465686629298681529041078
absolute error = 2.3407647465686629298681529041078
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.801
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 = 5.172
Order of pole (six term test) = -1.038
TOP MAIN SOLVE Loop
x[1] = 4.17
y[1] (analytic) = 0
y[1] (numeric) = 2.3458828359743125536578414242872
absolute error = 2.3458828359743125536578414242872
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.813
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 = 5.187
Order of pole (six term test) = -1.038
TOP MAIN SOLVE Loop
bytes used=308094788, alloc=4586680, time=10.14
x[1] = 4.18
y[1] (analytic) = 0
y[1] (numeric) = 2.351003260918197063665177335166
absolute error = 2.351003260918197063665177335166
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.824
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 = 5.202
Order of pole (six term test) = -1.038
TOP MAIN SOLVE Loop
x[1] = 4.19
y[1] (analytic) = 0
y[1] (numeric) = 2.3561260441160443860224693053207
absolute error = 2.3561260441160443860224693053207
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.836
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 = 5.216
Order of pole (six term test) = -1.038
TOP MAIN SOLVE Loop
x[1] = 4.2
y[1] (analytic) = 0
y[1] (numeric) = 2.3612512082147653156704647685687
absolute error = 2.3612512082147653156704647685687
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.847
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 = 5.231
Order of pole (six term test) = -1.038
TOP MAIN SOLVE Loop
x[1] = 4.21
y[1] (analytic) = 0
y[1] (numeric) = 2.3663787757928241759131484404015
absolute error = 2.3663787757928241759131484404015
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.859
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 = 5.246
Order of pole (six term test) = -1.038
TOP MAIN SOLVE Loop
x[1] = 4.22
y[1] (analytic) = 0
y[1] (numeric) = 2.3715087693606048553849729597665
absolute error = 2.3715087693606048553849729597665
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.871
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 = 5.26
Order of pole (six term test) = -1.038
TOP MAIN SOLVE Loop
bytes used=312095684, alloc=4586680, time=10.27
x[1] = 4.23
y[1] (analytic) = 0
y[1] (numeric) = 2.3766412113607722665084574577125
absolute error = 2.3766412113607722665084574577125
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.882
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 = 5.275
Order of pole (six term test) = -1.039
TOP MAIN SOLVE Loop
x[1] = 4.24
y[1] (analytic) = 0
y[1] (numeric) = 2.3817761241686292689864141875596
absolute error = 2.3817761241686292689864141875596
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.894
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 = 5.29
Order of pole (six term test) = -1.039
TOP MAIN SOLVE Loop
x[1] = 4.25
y[1] (analytic) = 0
y[1] (numeric) = 2.3869135300924691013475689295635
absolute error = 2.3869135300924691013475689295635
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.905
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 = 5.305
Order of pole (six term test) = -1.039
TOP MAIN SOLVE Loop
x[1] = 4.26
y[1] (analytic) = 0
y[1] (numeric) = 2.3920534513739233630468916917591
absolute error = 2.3920534513739233630468916917591
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.917
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 = 5.319
Order of pole (six term test) = -1.039
TOP MAIN SOLVE Loop
x[1] = 4.27
y[1] (analytic) = 0
y[1] (numeric) = 2.397195910188305589112416819079
absolute error = 2.397195910188305589112416819079
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.928
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 = 5.334
Order of pole (six term test) = -1.039
TOP MAIN SOLVE Loop
x[1] = 4.28
y[1] (analytic) = 0
y[1] (numeric) = 2.4023409286449504588285750577982
absolute error = 2.4023409286449504588285750577982
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.94
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 = 5.349
Order of pole (six term test) = -1.039
TOP MAIN SOLVE Loop
bytes used=316096736, alloc=4586680, time=10.40
x[1] = 4.29
y[1] (analytic) = 0
y[1] (numeric) = 2.4074885287875486794519559229689
absolute error = 2.4074885287875486794519559229689
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.951
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 = 5.363
Order of pole (six term test) = -1.039
TOP MAIN SOLVE Loop
x[1] = 4.3
y[1] (analytic) = 0
y[1] (numeric) = 2.4126387325944775854688408101887
absolute error = 2.4126387325944775854688408101887
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.963
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 = 5.378
Order of pole (six term test) = -1.04
TOP MAIN SOLVE Loop
x[1] = 4.31
y[1] (analytic) = 0
y[1] (numeric) = 2.4177915619791274934246719626702
absolute error = 2.4177915619791274934246719626702
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.974
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 = 5.393
Order of pole (six term test) = -1.04
TOP MAIN SOLVE Loop
x[1] = 4.32
y[1] (analytic) = 0
y[1] (numeric) = 2.422947038790223851883728238895
absolute error = 2.422947038790223851883728238895
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.986
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 = 5.408
Order of pole (six term test) = -1.04
TOP MAIN SOLVE Loop
x[1] = 4.33
y[1] (analytic) = 0
y[1] (numeric) = 2.4281051848121452256125464712711
absolute error = 2.4281051848121452256125464712711
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 4.998
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 = 5.422
Order of pole (six term test) = -1.04
TOP MAIN SOLVE Loop
bytes used=320097644, alloc=4586680, time=10.54
x[1] = 4.34
y[1] (analytic) = 0
y[1] (numeric) = 2.4332660217652371526229401183459
absolute error = 2.4332660217652371526229401183459
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.009
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 = 5.437
Order of pole (six term test) = -1.04
TOP MAIN SOLVE Loop
x[1] = 4.35
y[1] (analytic) = 0
y[1] (numeric) = 2.4384295713061219122597101122006
absolute error = 2.4384295713061219122597101122006
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.021
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 = 5.452
Order of pole (six term test) = -1.04
TOP MAIN SOLVE Loop
x[1] = 4.36
y[1] (analytic) = 0
y[1] (numeric) = 2.4435958550280042420742036272111
absolute error = 2.4435958550280042420742036272111
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.032
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 = 5.466
Order of pole (six term test) = -1.04
TOP MAIN SOLVE Loop
x[1] = 4.37
y[1] (analytic) = 0
y[1] (numeric) = 2.4487648944609730407876443593605
absolute error = 2.4487648944609730407876443593605
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.044
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 = 5.481
Order of pole (six term test) = -1.041
TOP MAIN SOLVE Loop
x[1] = 4.38
y[1] (analytic) = 0
y[1] (numeric) = 2.4539367110722990942175242509717
absolute error = 2.4539367110722990942175242509717
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.055
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 = 5.496
Order of pole (six term test) = -1.041
TOP MAIN SOLVE Loop
x[1] = 4.39
y[1] (analytic) = 0
y[1] (numeric) = 2.4591113262667288606162048574563
absolute error = 2.4591113262667288606162048574563
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.067
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 = 5.511
Order of pole (six term test) = -1.041
TOP MAIN SOLVE Loop
bytes used=324098432, alloc=4586680, time=10.67
x[1] = 4.4
y[1] (analytic) = 0
y[1] (numeric) = 2.4642887613867743514531221117244
absolute error = 2.4642887613867743514531221117244
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.078
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 = 5.525
Order of pole (six term test) = -1.041
TOP MAIN SOLVE Loop
x[1] = 4.41
y[1] (analytic) = 0
y[1] (numeric) = 2.4694690377129991432605183871982
absolute error = 2.4694690377129991432605183871982
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.09
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 = 5.54
Order of pole (six term test) = -1.041
TOP MAIN SOLVE Loop
x[1] = 4.42
y[1] (analytic) = 0
y[1] (numeric) = 2.4746521764643005557573396491663
absolute error = 2.4746521764643005557573396491663
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.102
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 = 5.555
Order of pole (six term test) = -1.041
TOP MAIN SOLVE Loop
x[1] = 4.43
y[1] (analytic) = 0
y[1] (numeric) = 2.4798381987981880310667341035869
absolute error = 2.4798381987981880310667341035869
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.113
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 = 5.569
Order of pole (six term test) = -1.042
TOP MAIN SOLVE Loop
x[1] = 4.44
y[1] (analytic) = 0
y[1] (numeric) = 2.4850271258110577484493748817475
absolute error = 2.4850271258110577484493748817475
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.125
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 = 5.584
Order of pole (six term test) = -1.042
TOP MAIN SOLVE Loop
bytes used=328099432, alloc=4586680, time=10.80
x[1] = 4.45
y[1] (analytic) = 0
y[1] (numeric) = 2.4902189785384635085875074732817
absolute error = 2.4902189785384635085875074732817
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.136
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 = 5.599
Order of pole (six term test) = -1.042
TOP MAIN SOLVE Loop
x[1] = 4.46
y[1] (analytic) = 0
y[1] (numeric) = 2.4954137779553839210730990934048
absolute error = 2.4954137779553839210730990934048
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.148
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 = 5.614
Order of pole (six term test) = -1.042
TOP MAIN SOLVE Loop
x[1] = 4.47
y[1] (analytic) = 0
y[1] (numeric) = 2.5006115449764859283776498818217
absolute error = 2.5006115449764859283776498818217
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.159
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 = 5.628
Order of pole (six term test) = -1.042
TOP MAIN SOLVE Loop
x[1] = 4.48
y[1] (analytic) = 0
y[1] (numeric) = 2.5058123004563846992110243697347
absolute error = 2.5058123004563846992110243697347
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.171
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 = 5.643
Order of pole (six term test) = -1.042
TOP MAIN SOLVE Loop
x[1] = 4.49
y[1] (analytic) = 0
y[1] (numeric) = 2.5110160651898999238119872234915
absolute error = 2.5110160651898999238119872234915
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.182
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 = 5.658
Order of pole (six term test) = -1.043
TOP MAIN SOLVE Loop
x[1] = 4.5
y[1] (analytic) = 0
y[1] (numeric) = 2.516222859912308543353892668252
absolute error = 2.516222859912308543353892668252
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.194
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 = 5.673
Order of pole (six term test) = -1.043
TOP MAIN SOLVE Loop
bytes used=332100280, alloc=4586680, time=10.93
x[1] = 4.51
y[1] (analytic) = 0
y[1] (numeric) = 2.521432705299593945295096553935
absolute error = 2.521432705299593945295096553935
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.205
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 = 5.687
Order of pole (six term test) = -1.043
TOP MAIN SOLVE Loop
x[1] = 4.52
y[1] (analytic) = 0
y[1] (numeric) = 2.5266456219686916561550496103283
absolute error = 2.5266456219686916561550496103283
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.217
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 = 5.702
Order of pole (six term test) = -1.043
TOP MAIN SOLVE Loop
x[1] = 4.53
y[1] (analytic) = 0
y[1] (numeric) = 2.5318616304777315628536074000175
absolute error = 2.5318616304777315628536074000175
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.229
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 = 5.717
Order of pole (six term test) = -1.043
TOP MAIN SOLVE Loop
x[1] = 4.54
y[1] (analytic) = 0
y[1] (numeric) = 2.5370807513262766934127756278405
absolute error = 2.5370807513262766934127756278405
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.24
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 = 5.732
Order of pole (six term test) = -1.043
TOP MAIN SOLVE Loop
x[1] = 4.55
y[1] (analytic) = 0
y[1] (numeric) = 2.5423030049555585874868190454184
absolute error = 2.5423030049555585874868190454184
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.252
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 = 5.746
Order of pole (six term test) = -1.044
TOP MAIN SOLVE Loop
bytes used=336101240, alloc=4586680, time=11.06
x[1] = 4.56
y[1] (analytic) = 0
y[1] (numeric) = 2.5475284117487092868583198421928
absolute error = 2.5475284117487092868583198421928
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.263
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 = 5.761
Order of pole (six term test) = -1.044
TOP MAIN SOLVE Loop
x[1] = 4.57
y[1] (analytic) = 0
y[1] (numeric) = 2.5527569920309899757143001571942
absolute error = 2.5527569920309899757143001571942
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.275
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 = 5.776
Order of pole (six term test) = -1.044
TOP MAIN SOLVE Loop
x[1] = 4.58
y[1] (analytic) = 0
y[1] (numeric) = 2.5579887660700163001978475416047
absolute error = 2.5579887660700163001978475416047
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.286
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 = 5.791
Order of pole (six term test) = -1.044
TOP MAIN SOLVE Loop
x[1] = 4.59
y[1] (analytic) = 0
y[1] (numeric) = 2.5632237540759803964167275335558
absolute error = 2.5632237540759803964167275335558
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.298
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 = 5.805
Order of pole (six term test) = -1.044
TOP MAIN SOLVE Loop
x[1] = 4.6
y[1] (analytic) = 0
y[1] (numeric) = 2.5684619762018696557811609491741
absolute error = 2.5684619762018696557811609491741
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.309
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 = 5.82
Order of pole (six term test) = -1.045
TOP MAIN SOLVE Loop
x[1] = 4.61
y[1] (analytic) = 0
y[1] (numeric) = 2.5737034525436822562382132907552
absolute error = 2.5737034525436822562382132907552
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.321
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 = 5.835
Order of pole (six term test) = -1.045
TOP MAIN SOLVE Loop
bytes used=340102236, alloc=4586680, time=11.20
x[1] = 4.62
y[1] (analytic) = 0
y[1] (numeric) = 2.5789482031406394876700193095707
absolute error = 2.5789482031406394876700193095707
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.332
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 = 5.85
Order of pole (six term test) = -1.045
TOP MAIN SOLVE Loop
x[1] = 4.63
y[1] (analytic) = 0
y[1] (numeric) = 2.5841962479753948994272779404126
absolute error = 2.5841962479753948994272779404126
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.344
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 = 5.864
Order of pole (six term test) = -1.045
TOP MAIN SOLVE Loop
x[1] = 4.64
y[1] (analytic) = 0
y[1] (numeric) = 2.5894476069742402976780334445207
absolute error = 2.5894476069742402976780334445207
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.356
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 = 5.879
Order of pole (six term test) = -1.045
TOP MAIN SOLVE Loop
x[1] = 4.65
y[1] (analytic) = 0
y[1] (numeric) = 2.594702300007308619964640724175
absolute error = 2.594702300007308619964640724175
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.367
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 = 5.894
Order of pole (six term test) = -1.046
TOP MAIN SOLVE Loop
x[1] = 4.66
y[1] (analytic) = 0
y[1] (numeric) = 2.5999603468887737140789306203448
absolute error = 2.5999603468887737140789306203448
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.379
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 = 5.909
Order of pole (six term test) = -1.046
TOP MAIN SOLVE Loop
bytes used=344103624, alloc=4586680, time=11.33
x[1] = 4.67
y[1] (analytic) = 0
y[1] (numeric) = 2.6052217673770470480868799133968
absolute error = 2.6052217673770470480868799133968
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.39
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 = 5.923
Order of pole (six term test) = -1.046
TOP MAIN SOLVE Loop
x[1] = 4.68
y[1] (analytic) = 0
y[1] (numeric) = 2.610486581174971378059487157673
absolute error = 2.610486581174971378059487157673
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.402
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 = 5.938
Order of pole (six term test) = -1.046
TOP MAIN SOLVE Loop
x[1] = 4.69
y[1] (analytic) = 0
y[1] (numeric) = 2.6157548079300113997959969165161
absolute error = 2.6157548079300113997959969165161
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.413
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 = 5.953
Order of pole (six term test) = -1.046
TOP MAIN SOLVE Loop
x[1] = 4.7
y[1] (analytic) = 0
y[1] (numeric) = 2.6210264672344414105590400078029
absolute error = 2.6210264672344414105590400078029
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.425
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 = 5.968
Order of pole (six term test) = -1.047
TOP MAIN SOLVE Loop
x[1] = 4.71
y[1] (analytic) = 0
y[1] (numeric) = 2.6263015786255300065786056433251
absolute error = 2.6263015786255300065786056433251
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.436
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 = 5.982
Order of pole (six term test) = -1.047
TOP MAIN SOLVE Loop
x[1] = 4.72
y[1] (analytic) = 0
y[1] (numeric) = 2.6315801615857218418229734896429
absolute error = 2.6315801615857218418229734896429
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.448
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 = 5.997
Order of pole (six term test) = -1.047
TOP MAIN SOLVE Loop
bytes used=348104560, alloc=4586680, time=11.46
x[1] = 4.73
y[1] (analytic) = 0
y[1] (numeric) = 2.6368622355428164732797513338834
absolute error = 2.6368622355428164732797513338834
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.459
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 = 6.012
Order of pole (six term test) = -1.047
TOP MAIN SOLVE Loop
x[1] = 4.74
y[1] (analytic) = 0
y[1] (numeric) = 2.6421478198701443177389298259013
absolute error = 2.6421478198701443177389298259013
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.471
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 = 6.027
Order of pole (six term test) = -1.047
TOP MAIN SOLVE Loop
x[1] = 4.75
y[1] (analytic) = 0
y[1] (numeric) = 2.6474369338867397448223232698401
absolute error = 2.6474369338867397448223232698401
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.483
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 = 6.041
Order of pole (six term test) = -1.048
TOP MAIN SOLVE Loop
x[1] = 4.76
y[1] (analytic) = 0
y[1] (numeric) = 2.6527295968575113307598591774914
absolute error = 2.6527295968575113307598591774914
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.494
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 = 6.056
Order of pole (six term test) = -1.048
TOP MAIN SOLVE Loop
x[1] = 4.77
y[1] (analytic) = 0
y[1] (numeric) = 2.6580258279934092971728547213454
absolute error = 2.6580258279934092971728547213454
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.506
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 = 6.071
Order of pole (six term test) = -1.048
TOP MAIN SOLVE Loop
bytes used=352105396, alloc=4586680, time=11.59
x[1] = 4.78
y[1] (analytic) = 0
y[1] (numeric) = 2.6633256464515901588876216918084
absolute error = 2.6633256464515901588876216918084
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.517
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 = 6.086
Order of pole (six term test) = -1.048
TOP MAIN SOLVE Loop
x[1] = 4.79
y[1] (analytic) = 0
y[1] (numeric) = 2.6686290713355786045694203148449
absolute error = 2.6686290713355786045694203148449
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.529
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 = 6.1
Order of pole (six term test) = -1.049
TOP MAIN SOLVE Loop
x[1] = 4.8
y[1] (analytic) = 0
y[1] (numeric) = 2.6739361216954266337368844395146
absolute error = 2.6739361216954266337368844395146
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.54
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 = 6.115
Order of pole (six term test) = -1.049
TOP MAIN SOLVE Loop
x[1] = 4.81
y[1] (analytic) = 0
y[1] (numeric) = 2.6792468165278699734905151311958
absolute error = 2.6792468165278699734905151311958
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.552
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 = 6.13
Order of pole (six term test) = -1.049
TOP MAIN SOLVE Loop
x[1] = 4.82
y[1] (analytic) = 0
y[1] (numeric) = 2.6845611747764817980656364165011
absolute error = 2.6845611747764817980656364165011
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.563
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 = 6.145
Order of pole (six term test) = -1.049
TOP MAIN SOLVE Loop
x[1] = 4.83
y[1] (analytic) = 0
y[1] (numeric) = 2.6898792153318237741002764539225
absolute error = 2.6898792153318237741002764539225
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.575
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 = 6.16
Order of pole (six term test) = -1.049
TOP MAIN SOLVE Loop
bytes used=356107568, alloc=4586680, time=11.72
x[1] = 4.84
y[1] (analytic) = 0
y[1] (numeric) = 2.6952009570315944542917311914644
absolute error = 2.6952009570315944542917311914644
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.586
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 = 6.174
Order of pole (six term test) = -1.05
TOP MAIN SOLVE Loop
x[1] = 4.85
y[1] (analytic) = 0
y[1] (numeric) = 2.7005264186607750419020378524647
absolute error = 2.7005264186607750419020378524647
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.598
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 = 6.189
Order of pole (six term test) = -1.05
TOP MAIN SOLVE Loop
x[1] = 4.86
y[1] (analytic) = 0
y[1] (numeric) = 2.7058556189517725483621853741132
absolute error = 2.7058556189517725483621853741132
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.61
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 = 6.204
Order of pole (six term test) = -1.05
TOP MAIN SOLVE Loop
x[1] = 4.87
y[1] (analytic) = 0
y[1] (numeric) = 2.7111885765845603660175719829228
absolute error = 2.7111885765845603660175719829228
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.621
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 = 6.219
Order of pole (six term test) = -1.05
TOP MAIN SOLVE Loop
x[1] = 4.88
y[1] (analytic) = 0
y[1] (numeric) = 2.7165253101868162778529409486979
absolute error = 2.7165253101868162778529409486979
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.633
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 = 6.234
Order of pole (six term test) = -1.051
TOP MAIN SOLVE Loop
bytes used=360108668, alloc=4586680, time=11.85
x[1] = 4.89
y[1] (analytic) = 0
y[1] (numeric) = 2.721865838334057925833739468404
absolute error = 2.721865838334057925833739468404
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.644
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 = 6.248
Order of pole (six term test) = -1.051
TOP MAIN SOLVE Loop
x[1] = 4.9
y[1] (analytic) = 0
y[1] (numeric) = 2.7272101795497757593025085689128
absolute error = 2.7272101795497757593025085689128
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.656
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 = 6.263
Order of pole (six term test) = -1.051
TOP MAIN SOLVE Loop
x[1] = 4.91
y[1] (analytic) = 0
y[1] (numeric) = 2.7325583523055634846734805646223
absolute error = 2.7325583523055634846734805646223
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.667
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 = 6.278
Order of pole (six term test) = -1.051
TOP MAIN SOLVE Loop
x[1] = 4.92
y[1] (analytic) = 0
y[1] (numeric) = 2.7379103750212460374759923375035
absolute error = 2.7379103750212460374759923375035
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.679
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 = 6.293
Order of pole (six term test) = -1.052
TOP MAIN SOLVE Loop
x[1] = 4.93
y[1] (analytic) = 0
y[1] (numeric) = 2.7432662660650050976075755786543
absolute error = 2.7432662660650050976075755786543
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.69
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 = 6.308
Order of pole (six term test) = -1.052
TOP MAIN SOLVE Loop
x[1] = 4.94
y[1] (analytic) = 0
y[1] (numeric) = 2.7486260437535021684706178650415
absolute error = 2.7486260437535021684706178650415
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.702
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 = 6.322
Order of pole (six term test) = -1.052
TOP MAIN SOLVE Loop
bytes used=364109648, alloc=4586680, time=11.99
x[1] = 4.95
y[1] (analytic) = 0
y[1] (numeric) = 2.7539897263519992404822604210873
absolute error = 2.7539897263519992404822604210873
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.713
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 = 6.337
Order of pole (six term test) = -1.052
TOP MAIN SOLVE Loop
x[1] = 4.96
y[1] (analytic) = 0
y[1] (numeric) = 2.7593573320744770592656696534102
absolute error = 2.7593573320744770592656696534102
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.725
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 = 6.352
Order of pole (six term test) = -1.053
TOP MAIN SOLVE Loop
x[1] = 4.97
y[1] (analytic) = 0
y[1] (numeric) = 2.7647288790837510186519507007147
absolute error = 2.7647288790837510186519507007147
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.737
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 = 6.367
Order of pole (six term test) = -1.053
TOP MAIN SOLVE Loop
x[1] = 4.98
y[1] (analytic) = 0
y[1] (numeric) = 2.7701043854915846984457235812509
absolute error = 2.7701043854915846984457235812509
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.748
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 = 6.382
Order of pole (six term test) = -1.053
TOP MAIN SOLVE Loop
x[1] = 4.99
y[1] (analytic) = 0
y[1] (numeric) = 2.7754838693588010667337179269977
absolute error = 2.7754838693588010667337179269977
relative error = -1 %
Correct digits = -1
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 5.76
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 = 6.396
Order of pole (six term test) = -1.053
Finished!
diff ( y , x , 1 ) = expt(sin(0.1 * x) , sin(0.2 * x));
Iterations = 490
Total Elapsed Time = 12 Seconds
Elapsed Time(since restart) = 11 Seconds
Time to Timeout = 2 Minutes 47 Seconds
Percent Done = 100.2 %
> quit
bytes used=367646408, alloc=4586680, time=12.09