|\^/| Maple 12 (IBM INTEL LINUX) ._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008 \ MAPLE / All rights reserved. Maple is a trademark of <____ ____> Waterloo Maple Inc. | Type ? for help. > #BEGIN OUTFILE1 > > # Begin Function number 3 > display_alot := proc(iter) > global > DEBUGL, > glob_max_terms, > glob_iolevel, > DEBUGMASSIVE, > INFO, > ALWAYS, > #Top Generate Globals Decl > glob_start, > glob_max_iter, > glob_relerr, > glob_dump_analytic, > glob_last_good_h, > min_in_hour, > glob_current_iter, > days_in_year, > glob_log10relerr, > glob_orig_start_sec, > glob_optimal_clock_start_sec, > hours_in_day, > glob_max_opt_iter, > glob_log10abserr, > glob_normmax, > glob_curr_iter_when_opt, > glob_small_float, > glob_optimal_start, > glob_no_eqs, > sec_in_min, > glob_iter, > glob_max_sec, > glob_warned, > glob_unchanged_h_cnt, > glob_hmin, > glob_disp_incr, > glob_reached_optimal_h, > glob_not_yet_finished, > glob_clock_sec, > glob_subiter_method, > glob_abserr, > glob_hmin_init, > glob_dump, > glob_optimal_expect_sec, > MAX_UNCHANGED, > glob_not_yet_start_msg, > centuries_in_millinium, > years_in_century, > glob_html_log, > glob_percent_done, > glob_max_rel_trunc_err, > glob_log10_relerr, > glob_optimal_done, > glob_initial_pass, > glob_large_float, > glob_hmax, > glob_almost_1, > glob_display_flag, > glob_smallish_float, > glob_look_poles, > glob_h, > glob_clock_start_sec, > djd_debug, > glob_log10normmin, > glob_max_minutes, > glob_warned2, > glob_max_trunc_err, > glob_max_hours, > glob_log10_abserr, > djd_debug2, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > #END CONST > array_m1, > array_tmp4_g, > array_type_pole, > array_norms, > array_y1_init, > array_pole, > array_x, > array_last_rel_error, > array_y2, > array_y1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_1st_rel_error, > array_fact_1, > array_y2_init, > array_y1_higher_work, > array_y2_set_initial, > array_y1_set_initial, > array_y1_higher_work2, > array_y2_higher_work2, > array_y2_higher, > array_y2_higher_work, > array_poles, > array_y1_higher, > array_complex_pole, > array_fact_2, > array_real_pole, > glob_last; > > local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; > #TOP DISPLAY ALOT > if (iter >= 0) then # if number 1 > ind_var := array_x[1]; > omniout_float(ALWAYS,"x[1] ",33,ind_var,20," "); > analytic_val_y := exact_soln_y2(ind_var); > omniout_float(ALWAYS,"y2[1] (analytic) ",33,analytic_val_y,20," "); > term_no := 1; > numeric_val := array_y2[term_no]; > abserr := abs(numeric_val - analytic_val_y); > omniout_float(ALWAYS,"y2[1] (numeric) ",33,numeric_val,20," "); > if (abs(analytic_val_y) <> 0.0) then # if number 2 > relerr := abserr*100.0/abs(analytic_val_y); > else > relerr := -1.0 ; > fi;# end if 2 > ; > if glob_iter = 1 then # if number 2 > array_1st_rel_error[1] := relerr; > else > array_last_rel_error[1] := relerr; > fi;# end if 2 > ; > omniout_float(ALWAYS,"absolute error ",4,abserr,20," "); > omniout_float(ALWAYS,"relative error ",4,relerr,20,"%"); > omniout_float(ALWAYS,"h ",4,glob_h,20," "); > ; > analytic_val_y := exact_soln_y1(ind_var); > omniout_float(ALWAYS,"y1[1] (analytic) ",33,analytic_val_y,20," "); > term_no := 1; > numeric_val := array_y1[term_no]; > abserr := abs(numeric_val - analytic_val_y); > omniout_float(ALWAYS,"y1[1] (numeric) ",33,numeric_val,20," "); > if (abs(analytic_val_y) <> 0.0) then # if number 2 > relerr := abserr*100.0/abs(analytic_val_y); > else > relerr := -1.0 ; > fi;# end if 2 > ; > if glob_iter = 1 then # if number 2 > array_1st_rel_error[2] := relerr; > else > array_last_rel_error[2] := relerr; > fi;# end if 2 > ; > omniout_float(ALWAYS,"absolute error ",4,abserr,20," "); > omniout_float(ALWAYS,"relative error ",4,relerr,20,"%"); > omniout_float(ALWAYS,"h ",4,glob_h,20," "); > #BOTTOM DISPLAY ALOT > fi;# end if 1 > ; > # End Function number 3 > end; display_alot := proc(iter) local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; global DEBUGL, glob_max_terms, glob_iolevel, DEBUGMASSIVE, INFO, ALWAYS, glob_start, glob_max_iter, glob_relerr, glob_dump_analytic, glob_last_good_h, min_in_hour, glob_current_iter, days_in_year, glob_log10relerr, glob_orig_start_sec, glob_optimal_clock_start_sec, hours_in_day, glob_max_opt_iter, glob_log10abserr, glob_normmax, glob_curr_iter_when_opt, glob_small_float, glob_optimal_start, glob_no_eqs, sec_in_min, glob_iter, glob_max_sec, glob_warned, glob_unchanged_h_cnt, glob_hmin, glob_disp_incr, glob_reached_optimal_h, glob_not_yet_finished, glob_clock_sec, glob_subiter_method, glob_abserr, glob_hmin_init, glob_dump, glob_optimal_expect_sec, MAX_UNCHANGED, glob_not_yet_start_msg, centuries_in_millinium, years_in_century, glob_html_log, glob_percent_done, glob_max_rel_trunc_err, glob_log10_relerr, glob_optimal_done, glob_initial_pass, glob_large_float, glob_hmax, glob_almost_1, glob_display_flag, glob_smallish_float, glob_look_poles, glob_h, glob_clock_start_sec, djd_debug, glob_log10normmin, glob_max_minutes, glob_warned2, glob_max_trunc_err, glob_max_hours, glob_log10_abserr, djd_debug2, array_const_1, array_const_0D0, array_m1, array_tmp4_g, array_type_pole, array_norms, array_y1_init, array_pole, array_x, array_last_rel_error, array_y2, array_y1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_1st_rel_error, array_fact_1, array_y2_init, array_y1_higher_work, array_y2_set_initial, array_y1_set_initial, array_y1_higher_work2, array_y2_higher_work2, array_y2_higher, array_y2_higher_work, array_poles, array_y1_higher, array_complex_pole, array_fact_2, array_real_pole, glob_last; if 0 <= iter then ind_var := array_x[1]; omniout_float(ALWAYS, "x[1] ", 33, ind_var, 20, " "); analytic_val_y := exact_soln_y2(ind_var); omniout_float(ALWAYS, "y2[1] (analytic) ", 33, analytic_val_y, 20, " "); term_no := 1; numeric_val := array_y2[term_no]; abserr := abs(numeric_val - analytic_val_y); omniout_float(ALWAYS, "y2[1] (numeric) ", 33, numeric_val, 20, " "); if abs(analytic_val_y) <> 0. then relerr := abserr*100.0/abs(analytic_val_y) else relerr := -1.0 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_float(ALWAYS, "h ", 4, glob_h, 20, " "); analytic_val_y := exact_soln_y1(ind_var); omniout_float(ALWAYS, "y1[1] (analytic) ", 33, analytic_val_y, 20, " "); term_no := 1; numeric_val := array_y1[term_no]; abserr := abs(numeric_val - analytic_val_y); omniout_float(ALWAYS, "y1[1] (numeric) ", 33, numeric_val, 20, " "); if abs(analytic_val_y) <> 0. then relerr := abserr*100.0/abs(analytic_val_y) else relerr := -1.0 end if; if glob_iter = 1 then array_1st_rel_error[2] := relerr else array_last_rel_error[2] := relerr end if; omniout_float(ALWAYS, "absolute error ", 4, abserr, 20, " "); omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"); omniout_float(ALWAYS, "h ", 4, glob_h, 20, " ") end if end proc > # Begin Function number 4 > adjust_for_pole := proc(h_param) > global > DEBUGL, > glob_max_terms, > glob_iolevel, > DEBUGMASSIVE, > INFO, > ALWAYS, > #Top Generate Globals Decl > glob_start, > glob_max_iter, > glob_relerr, > glob_dump_analytic, > glob_last_good_h, > min_in_hour, > glob_current_iter, > days_in_year, > glob_log10relerr, > glob_orig_start_sec, > glob_optimal_clock_start_sec, > hours_in_day, > glob_max_opt_iter, > glob_log10abserr, > glob_normmax, > glob_curr_iter_when_opt, > glob_small_float, > glob_optimal_start, > glob_no_eqs, > sec_in_min, > glob_iter, > glob_max_sec, > glob_warned, > glob_unchanged_h_cnt, > glob_hmin, > glob_disp_incr, > glob_reached_optimal_h, > glob_not_yet_finished, > glob_clock_sec, > glob_subiter_method, > glob_abserr, > glob_hmin_init, > glob_dump, > glob_optimal_expect_sec, > MAX_UNCHANGED, > glob_not_yet_start_msg, > centuries_in_millinium, > years_in_century, > glob_html_log, > glob_percent_done, > glob_max_rel_trunc_err, > glob_log10_relerr, > glob_optimal_done, > glob_initial_pass, > glob_large_float, > glob_hmax, > glob_almost_1, > glob_display_flag, > glob_smallish_float, > glob_look_poles, > glob_h, > glob_clock_start_sec, > djd_debug, > glob_log10normmin, > glob_max_minutes, > glob_warned2, > glob_max_trunc_err, > glob_max_hours, > glob_log10_abserr, > djd_debug2, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > #END CONST > array_m1, > array_tmp4_g, > array_type_pole, > array_norms, > array_y1_init, > array_pole, > array_x, > array_last_rel_error, > array_y2, > array_y1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_1st_rel_error, > array_fact_1, > array_y2_init, > array_y1_higher_work, > array_y2_set_initial, > array_y1_set_initial, > array_y1_higher_work2, > array_y2_higher_work2, > array_y2_higher, > array_y2_higher_work, > array_poles, > array_y1_higher, > array_complex_pole, > array_fact_2, > array_real_pole, > glob_last; > > local hnew, sz2, tmp; > #TOP ADJUST FOR POLE > > hnew := h_param; > glob_normmax := glob_small_float; > if (abs(array_y2_higher[1,1]) > glob_small_float) then # if number 1 > tmp := abs(array_y2_higher[1,1]); > if (tmp < glob_normmax) then # if number 2 > glob_normmax := tmp; > fi;# end if 2 > fi;# end if 1 > ; > if (abs(array_y1_higher[1,1]) > glob_small_float) then # if number 1 > tmp := abs(array_y1_higher[1,1]); > if (tmp < glob_normmax) then # if number 2 > glob_normmax := tmp; > fi;# end if 2 > fi;# end if 1 > ; > if (glob_look_poles and (abs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1 > sz2 := array_pole[1]/10.0; > if (sz2 < hnew) then # if number 2 > omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity."); > omniout_str(INFO,"Reached Optimal"); > newline(); > return(hnew); > fi;# end if 2 > fi;# end if 1 > ; > if (not glob_reached_optimal_h) then # if number 1 > glob_reached_optimal_h := true; > glob_curr_iter_when_opt := glob_current_iter; > glob_optimal_clock_start_sec := elapsed_time_seconds(); > glob_optimal_start := array_x[1]; > fi;# end if 1 > ; > hnew := sz2; > #END block > #BOTTOM ADJUST FOR POLE > # End Function number 4 > end; adjust_for_pole := proc(h_param) local hnew, sz2, tmp; global DEBUGL, glob_max_terms, glob_iolevel, DEBUGMASSIVE, INFO, ALWAYS, glob_start, glob_max_iter, glob_relerr, glob_dump_analytic, glob_last_good_h, min_in_hour, glob_current_iter, days_in_year, glob_log10relerr, glob_orig_start_sec, glob_optimal_clock_start_sec, hours_in_day, glob_max_opt_iter, glob_log10abserr, glob_normmax, glob_curr_iter_when_opt, glob_small_float, glob_optimal_start, glob_no_eqs, sec_in_min, glob_iter, glob_max_sec, glob_warned, glob_unchanged_h_cnt, glob_hmin, glob_disp_incr, glob_reached_optimal_h, glob_not_yet_finished, glob_clock_sec, glob_subiter_method, glob_abserr, glob_hmin_init, glob_dump, glob_optimal_expect_sec, MAX_UNCHANGED, glob_not_yet_start_msg, centuries_in_millinium, years_in_century, glob_html_log, glob_percent_done, glob_max_rel_trunc_err, glob_log10_relerr, glob_optimal_done, glob_initial_pass, glob_large_float, glob_hmax, glob_almost_1, glob_display_flag, glob_smallish_float, glob_look_poles, glob_h, glob_clock_start_sec, djd_debug, glob_log10normmin, glob_max_minutes, glob_warned2, glob_max_trunc_err, glob_max_hours, glob_log10_abserr, djd_debug2, array_const_1, array_const_0D0, array_m1, array_tmp4_g, array_type_pole, array_norms, array_y1_init, array_pole, array_x, array_last_rel_error, array_y2, array_y1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_1st_rel_error, array_fact_1, array_y2_init, array_y1_higher_work, array_y2_set_initial, array_y1_set_initial, array_y1_higher_work2, array_y2_higher_work2, array_y2_higher, array_y2_higher_work, array_poles, array_y1_higher, array_complex_pole, array_fact_2, array_real_pole, glob_last; hnew := h_param; glob_normmax := glob_small_float; if glob_small_float < abs(array_y2_higher[1, 1]) then tmp := abs(array_y2_higher[1, 1]); if tmp < glob_normmax then glob_normmax := tmp end if end if; if glob_small_float < abs(array_y1_higher[1, 1]) then tmp := abs(array_y1_higher[1, 1]); if tmp < glob_normmax then glob_normmax := tmp end if end if; if glob_look_poles and glob_small_float < abs(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"); newline(); 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 end proc > # Begin Function number 5 > prog_report := proc(x_start,x_end) > global > DEBUGL, > glob_max_terms, > glob_iolevel, > DEBUGMASSIVE, > INFO, > ALWAYS, > #Top Generate Globals Decl > glob_start, > glob_max_iter, > glob_relerr, > glob_dump_analytic, > glob_last_good_h, > min_in_hour, > glob_current_iter, > days_in_year, > glob_log10relerr, > glob_orig_start_sec, > glob_optimal_clock_start_sec, > hours_in_day, > glob_max_opt_iter, > glob_log10abserr, > glob_normmax, > glob_curr_iter_when_opt, > glob_small_float, > glob_optimal_start, > glob_no_eqs, > sec_in_min, > glob_iter, > glob_max_sec, > glob_warned, > glob_unchanged_h_cnt, > glob_hmin, > glob_disp_incr, > glob_reached_optimal_h, > glob_not_yet_finished, > glob_clock_sec, > glob_subiter_method, > glob_abserr, > glob_hmin_init, > glob_dump, > glob_optimal_expect_sec, > MAX_UNCHANGED, > glob_not_yet_start_msg, > centuries_in_millinium, > years_in_century, > glob_html_log, > glob_percent_done, > glob_max_rel_trunc_err, > glob_log10_relerr, > glob_optimal_done, > glob_initial_pass, > glob_large_float, > glob_hmax, > glob_almost_1, > glob_display_flag, > glob_smallish_float, > glob_look_poles, > glob_h, > glob_clock_start_sec, > djd_debug, > glob_log10normmin, > glob_max_minutes, > glob_warned2, > glob_max_trunc_err, > glob_max_hours, > glob_log10_abserr, > djd_debug2, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > #END CONST > array_m1, > array_tmp4_g, > array_type_pole, > array_norms, > array_y1_init, > array_pole, > array_x, > array_last_rel_error, > array_y2, > array_y1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_1st_rel_error, > array_fact_1, > array_y2_init, > array_y1_higher_work, > array_y2_set_initial, > array_y1_set_initial, > array_y1_higher_work2, > array_y2_higher_work2, > array_y2_higher, > array_y2_higher_work, > array_poles, > array_y1_higher, > array_complex_pole, > array_fact_2, > array_real_pole, > 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)); > percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h)); > glob_percent_done := percent_done; > omniout_str_noeol(INFO,"Total Elapsed Time "); > omniout_timestr(convfloat(total_clock_sec)); > omniout_str_noeol(INFO,"Elapsed Time(since restart) "); > omniout_timestr(convfloat(glob_clock_sec)); > if convfloat(percent_done) < convfloat(100.0) then # if number 1 > omniout_str_noeol(INFO,"Expected Time Remaining "); > omniout_timestr(convfloat(expect_sec)); > omniout_str_noeol(INFO,"Optimized Time Remaining "); > omniout_timestr(convfloat(glob_optimal_expect_sec)); > fi;# end if 1 > ; > omniout_str_noeol(INFO,"Time to Timeout "); > omniout_timestr(convfloat(left_sec)); > omniout_float(INFO, "Percent Done ",33,percent_done,4,"%"); > #BOTTOM PROGRESS REPORT > # End Function number 5 > 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 DEBUGL, glob_max_terms, glob_iolevel, DEBUGMASSIVE, INFO, ALWAYS, glob_start, glob_max_iter, glob_relerr, glob_dump_analytic, glob_last_good_h, min_in_hour, glob_current_iter, days_in_year, glob_log10relerr, glob_orig_start_sec, glob_optimal_clock_start_sec, hours_in_day, glob_max_opt_iter, glob_log10abserr, glob_normmax, glob_curr_iter_when_opt, glob_small_float, glob_optimal_start, glob_no_eqs, sec_in_min, glob_iter, glob_max_sec, glob_warned, glob_unchanged_h_cnt, glob_hmin, glob_disp_incr, glob_reached_optimal_h, glob_not_yet_finished, glob_clock_sec, glob_subiter_method, glob_abserr, glob_hmin_init, glob_dump, glob_optimal_expect_sec, MAX_UNCHANGED, glob_not_yet_start_msg, centuries_in_millinium, years_in_century, glob_html_log, glob_percent_done, glob_max_rel_trunc_err, glob_log10_relerr, glob_optimal_done, glob_initial_pass, glob_large_float, glob_hmax, glob_almost_1, glob_display_flag, glob_smallish_float, glob_look_poles, glob_h, glob_clock_start_sec, djd_debug, glob_log10normmin, glob_max_minutes, glob_warned2, glob_max_trunc_err, glob_max_hours, glob_log10_abserr, djd_debug2, array_const_1, array_const_0D0, array_m1, array_tmp4_g, array_type_pole, array_norms, array_y1_init, array_pole, array_x, array_last_rel_error, array_y2, array_y1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_1st_rel_error, array_fact_1, array_y2_init, array_y1_higher_work, array_y2_set_initial, array_y1_set_initial, array_y1_higher_work2, array_y2_higher_work2, array_y2_higher, array_y2_higher_work, array_poles, array_y1_higher, array_complex_pole, array_fact_2, array_real_pole, 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)); 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)) 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 > # Begin Function number 6 > check_for_pole := proc() > global > DEBUGL, > glob_max_terms, > glob_iolevel, > DEBUGMASSIVE, > INFO, > ALWAYS, > #Top Generate Globals Decl > glob_start, > glob_max_iter, > glob_relerr, > glob_dump_analytic, > glob_last_good_h, > min_in_hour, > glob_current_iter, > days_in_year, > glob_log10relerr, > glob_orig_start_sec, > glob_optimal_clock_start_sec, > hours_in_day, > glob_max_opt_iter, > glob_log10abserr, > glob_normmax, > glob_curr_iter_when_opt, > glob_small_float, > glob_optimal_start, > glob_no_eqs, > sec_in_min, > glob_iter, > glob_max_sec, > glob_warned, > glob_unchanged_h_cnt, > glob_hmin, > glob_disp_incr, > glob_reached_optimal_h, > glob_not_yet_finished, > glob_clock_sec, > glob_subiter_method, > glob_abserr, > glob_hmin_init, > glob_dump, > glob_optimal_expect_sec, > MAX_UNCHANGED, > glob_not_yet_start_msg, > centuries_in_millinium, > years_in_century, > glob_html_log, > glob_percent_done, > glob_max_rel_trunc_err, > glob_log10_relerr, > glob_optimal_done, > glob_initial_pass, > glob_large_float, > glob_hmax, > glob_almost_1, > glob_display_flag, > glob_smallish_float, > glob_look_poles, > glob_h, > glob_clock_start_sec, > djd_debug, > glob_log10normmin, > glob_max_minutes, > glob_warned2, > glob_max_trunc_err, > glob_max_hours, > glob_log10_abserr, > djd_debug2, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > #END CONST > array_m1, > array_tmp4_g, > array_type_pole, > array_norms, > array_y1_init, > array_pole, > array_x, > array_last_rel_error, > array_y2, > array_y1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_1st_rel_error, > array_fact_1, > array_y2_init, > array_y1_higher_work, > array_y2_set_initial, > array_y1_set_initial, > array_y1_higher_work2, > array_y2_higher_work2, > array_y2_higher, > array_y2_higher_work, > array_poles, > array_y1_higher, > array_complex_pole, > array_fact_2, > array_real_pole, > glob_last; > > local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found; > #TOP CHECK FOR POLE > #IN RADII REAL EQ = 1 > #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 1 > #Applies to pole of arbitrary r_order on the real axis, > #Due to Prof. George Corliss. > n := glob_max_terms; > m := n - 1 - 1; > while ((m >= 10) and ((abs(array_y2_higher[1,m]) < glob_small_float) or (abs(array_y2_higher[1,m-1]) < glob_small_float) or (abs(array_y2_higher[1,m-2]) < glob_small_float ))) do # do number 2 > m := m - 1; > od;# end do number 2 > ; > if (m > 10) then # if number 1 > rm0 := array_y2_higher[1,m]/array_y2_higher[1,m-1]; > rm1 := array_y2_higher[1,m-1]/array_y2_higher[1,m-2]; > hdrc := convfloat(m-1)*rm0-convfloat(m-2)*rm1; > if (abs(hdrc) > glob_small_float) then # if number 2 > rcs := glob_h/hdrc; > ord_no := convfloat(m-1)*rm0/hdrc - convfloat(m) + 2.0; > array_real_pole[1,1] := rcs; > array_real_pole[1,2] := ord_no; > else > array_real_pole[1,1] := glob_large_float; > array_real_pole[1,2] := glob_large_float; > fi;# end if 2 > else > array_real_pole[1,1] := glob_large_float; > array_real_pole[1,2] := glob_large_float; > fi;# end if 1 > ; > #BOTTOM RADII REAL EQ = 1 > #IN RADII REAL EQ = 2 > #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 2 > #Applies to pole of arbitrary r_order on the real axis, > #Due to Prof. George Corliss. > n := glob_max_terms; > m := n - 1 - 1; > while ((m >= 10) and ((abs(array_y1_higher[1,m]) < glob_small_float) or (abs(array_y1_higher[1,m-1]) < glob_small_float) or (abs(array_y1_higher[1,m-2]) < glob_small_float ))) do # do number 2 > m := m - 1; > od;# end do number 2 > ; > if (m > 10) then # if number 1 > rm0 := array_y1_higher[1,m]/array_y1_higher[1,m-1]; > rm1 := array_y1_higher[1,m-1]/array_y1_higher[1,m-2]; > hdrc := convfloat(m-1)*rm0-convfloat(m-2)*rm1; > if (abs(hdrc) > glob_small_float) then # if number 2 > rcs := glob_h/hdrc; > ord_no := convfloat(m-1)*rm0/hdrc - convfloat(m) + 2.0; > array_real_pole[2,1] := rcs; > array_real_pole[2,2] := ord_no; > else > array_real_pole[2,1] := glob_large_float; > array_real_pole[2,2] := glob_large_float; > fi;# end if 2 > else > array_real_pole[2,1] := glob_large_float; > array_real_pole[2,2] := glob_large_float; > fi;# end if 1 > ; > #BOTTOM RADII REAL EQ = 2 > #TOP RADII COMPLEX EQ = 1 > #Computes radius of convergence for complex conjugate pair of poles. > #from 6 adjacent Taylor series terms > #Also computes r_order of poles. > #Due to Manuel Prieto. > #With a correction by Dennis J. Darland > n := glob_max_terms - 1 - 1; > cnt := 0; > while ((cnt < 5) and (n >= 10)) do # do number 2 > if (abs(array_y2_higher[1,n]) > glob_small_float) then # if number 1 > cnt := cnt + 1; > else > cnt := 0; > fi;# end if 1 > ; > n := n - 1; > od;# end do number 2 > ; > m := n + cnt; > if (m <= 10) then # if number 1 > array_complex_pole[1,1] := glob_large_float; > array_complex_pole[1,2] := glob_large_float; > elif (abs(array_y2_higher[1,m]) >= (glob_large_float)) or (abs(array_y2_higher[1,m-1]) >=(glob_large_float)) or (abs(array_y2_higher[1,m-2]) >= (glob_large_float)) or (abs(array_y2_higher[1,m-3]) >= (glob_large_float)) or (abs(array_y2_higher[1,m-4]) >= (glob_large_float)) or (abs(array_y2_higher[1,m-5]) >= (glob_large_float)) then # if number 2 > array_complex_pole[1,1] := glob_large_float; > array_complex_pole[1,2] := glob_large_float; > else > rm0 := (array_y2_higher[1,m])/(array_y2_higher[1,m-1]); > rm1 := (array_y2_higher[1,m-1])/(array_y2_higher[1,m-2]); > rm2 := (array_y2_higher[1,m-2])/(array_y2_higher[1,m-3]); > rm3 := (array_y2_higher[1,m-3])/(array_y2_higher[1,m-4]); > rm4 := (array_y2_higher[1,m-4])/(array_y2_higher[1,m-5]); > nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2; > nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3; > dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3; > dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4; > ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3; > ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4; > if ((abs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (abs(dr1) <= glob_small_float)) then # if number 3 > array_complex_pole[1,1] := glob_large_float; > array_complex_pole[1,2] := glob_large_float; > else > if (abs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 4 > rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1)); > #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1) > ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0; > if (abs(rcs) > glob_small_float) then # if number 5 > if (rcs > 0.0) then # if number 6 > rad_c := sqrt(rcs) * glob_h; > else > rad_c := glob_large_float; > fi;# end if 6 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 5 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 4 > fi;# end if 3 > ; > array_complex_pole[1,1] := rad_c; > array_complex_pole[1,2] := ord_no; > fi;# end if 2 > ; > #BOTTOM RADII COMPLEX EQ = 1 > #TOP RADII COMPLEX EQ = 2 > #Computes radius of convergence for complex conjugate pair of poles. > #from 6 adjacent Taylor series terms > #Also computes r_order of poles. > #Due to Manuel Prieto. > #With a correction by Dennis J. Darland > n := glob_max_terms - 1 - 1; > cnt := 0; > while ((cnt < 5) and (n >= 10)) do # do number 2 > if (abs(array_y1_higher[1,n]) > glob_small_float) then # if number 2 > cnt := cnt + 1; > else > cnt := 0; > fi;# end if 2 > ; > n := n - 1; > od;# end do number 2 > ; > m := n + cnt; > if (m <= 10) then # if number 2 > array_complex_pole[2,1] := glob_large_float; > array_complex_pole[2,2] := glob_large_float; > elif (abs(array_y1_higher[1,m]) >= (glob_large_float)) or (abs(array_y1_higher[1,m-1]) >=(glob_large_float)) or (abs(array_y1_higher[1,m-2]) >= (glob_large_float)) or (abs(array_y1_higher[1,m-3]) >= (glob_large_float)) or (abs(array_y1_higher[1,m-4]) >= (glob_large_float)) or (abs(array_y1_higher[1,m-5]) >= (glob_large_float)) then # if number 3 > array_complex_pole[2,1] := glob_large_float; > array_complex_pole[2,2] := glob_large_float; > else > rm0 := (array_y1_higher[1,m])/(array_y1_higher[1,m-1]); > rm1 := (array_y1_higher[1,m-1])/(array_y1_higher[1,m-2]); > rm2 := (array_y1_higher[1,m-2])/(array_y1_higher[1,m-3]); > rm3 := (array_y1_higher[1,m-3])/(array_y1_higher[1,m-4]); > rm4 := (array_y1_higher[1,m-4])/(array_y1_higher[1,m-5]); > nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2; > nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3; > dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3; > dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4; > ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3; > ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4; > if ((abs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (abs(dr1) <= glob_small_float)) then # if number 4 > array_complex_pole[2,1] := glob_large_float; > array_complex_pole[2,2] := glob_large_float; > else > if (abs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 5 > rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1)); > #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1) > ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0; > if (abs(rcs) > glob_small_float) then # if number 6 > if (rcs > 0.0) then # if number 7 > rad_c := sqrt(rcs) * glob_h; > else > rad_c := glob_large_float; > fi;# end if 7 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 6 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 5 > fi;# end if 4 > ; > array_complex_pole[2,1] := rad_c; > array_complex_pole[2,2] := ord_no; > fi;# end if 3 > ; > #BOTTOM RADII COMPLEX EQ = 2 > found := false; > #TOP WHICH RADII EQ = 1 > if not found and ((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float)) and ((array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0)) then # if number 3 > array_poles[1,1] := array_complex_pole[1,1]; > array_poles[1,2] := array_complex_pole[1,2]; > found := true; > array_type_pole[1] := 2; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and ((array_real_pole[1,1] <> glob_large_float) and (array_real_pole[1,2] <> glob_large_float) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float) or (array_complex_pole[1,1] <= 0.0 ) or (array_complex_pole[1,2] <= 0.0))) then # if number 3 > array_poles[1,1] := array_real_pole[1,1]; > array_poles[1,2] := array_real_pole[1,2]; > found := true; > array_type_pole[1] := 1; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and (((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float))) then # if number 3 > array_poles[1,1] := glob_large_float; > array_poles[1,2] := glob_large_float; > found := true; > array_type_pole[1] := 3; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"NO POLE"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and ((array_real_pole[1,1] < array_complex_pole[1,1]) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0)) then # if number 3 > array_poles[1,1] := array_real_pole[1,1]; > array_poles[1,2] := array_real_pole[1,2]; > found := true; > array_type_pole[1] := 1; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float) and (array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0)) then # if number 3 > array_poles[1,1] := array_complex_pole[1,1]; > array_poles[1,2] := array_complex_pole[1,2]; > array_type_pole[1] := 2; > found := true; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found then # if number 3 > array_poles[1,1] := glob_large_float; > array_poles[1,2] := glob_large_float; > array_type_pole[1] := 3; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"NO POLE"); > fi;# end if 4 > ; > fi;# end if 3 > ; > #BOTTOM WHICH RADII EQ = 1 > found := false; > #TOP WHICH RADII EQ = 2 > if not found and ((array_real_pole[2,1] = glob_large_float) or (array_real_pole[2,2] = glob_large_float)) and ((array_complex_pole[2,1] <> glob_large_float) and (array_complex_pole[2,2] <> glob_large_float)) and ((array_complex_pole[2,1] > 0.0) and (array_complex_pole[2,2] > 0.0)) then # if number 3 > array_poles[2,1] := array_complex_pole[2,1]; > array_poles[2,2] := array_complex_pole[2,2]; > found := true; > array_type_pole[2] := 2; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and ((array_real_pole[2,1] <> glob_large_float) and (array_real_pole[2,2] <> glob_large_float) and (array_real_pole[2,1] > 0.0) and (array_real_pole[2,2] > 0.0) and ((array_complex_pole[2,1] = glob_large_float) or (array_complex_pole[2,2] = glob_large_float) or (array_complex_pole[2,1] <= 0.0 ) or (array_complex_pole[2,2] <= 0.0))) then # if number 3 > array_poles[2,1] := array_real_pole[2,1]; > array_poles[2,2] := array_real_pole[2,2]; > found := true; > array_type_pole[2] := 1; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and (((array_real_pole[2,1] = glob_large_float) or (array_real_pole[2,2] = glob_large_float)) and ((array_complex_pole[2,1] = glob_large_float) or (array_complex_pole[2,2] = glob_large_float))) then # if number 3 > array_poles[2,1] := glob_large_float; > array_poles[2,2] := glob_large_float; > found := true; > array_type_pole[2] := 3; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"NO POLE"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and ((array_real_pole[2,1] < array_complex_pole[2,1]) and (array_real_pole[2,1] > 0.0) and (array_real_pole[2,2] > 0.0)) then # if number 3 > array_poles[2,1] := array_real_pole[2,1]; > array_poles[2,2] := array_real_pole[2,2]; > found := true; > array_type_pole[2] := 1; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and ((array_complex_pole[2,1] <> glob_large_float) and (array_complex_pole[2,2] <> glob_large_float) and (array_complex_pole[2,1] > 0.0) and (array_complex_pole[2,2] > 0.0)) then # if number 3 > array_poles[2,1] := array_complex_pole[2,1]; > array_poles[2,2] := array_complex_pole[2,2]; > array_type_pole[2] := 2; > found := true; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found then # if number 3 > array_poles[2,1] := glob_large_float; > array_poles[2,2] := glob_large_float; > array_type_pole[2] := 3; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"NO POLE"); > fi;# end if 4 > ; > fi;# end if 3 > ; > #BOTTOM WHICH RADII EQ = 2 > array_pole[1] := glob_large_float; > array_pole[2] := glob_large_float; > #TOP WHICH RADIUS EQ = 1 > if array_pole[1] > array_poles[1,1] then # if number 3 > array_pole[1] := array_poles[1,1]; > array_pole[2] := array_poles[1,2]; > fi;# end if 3 > ; > #BOTTOM WHICH RADIUS EQ = 1 > #TOP WHICH RADIUS EQ = 2 > if array_pole[1] > array_poles[2,1] then # if number 3 > array_pole[1] := array_poles[2,1]; > array_pole[2] := array_poles[2,2]; > fi;# end if 3 > ; > #BOTTOM WHICH RADIUS EQ = 2 > #BOTTOM CHECK FOR POLE > display_pole(); > # End Function number 6 > 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; global DEBUGL, glob_max_terms, glob_iolevel, DEBUGMASSIVE, INFO, ALWAYS, glob_start, glob_max_iter, glob_relerr, glob_dump_analytic, glob_last_good_h, min_in_hour, glob_current_iter, days_in_year, glob_log10relerr, glob_orig_start_sec, glob_optimal_clock_start_sec, hours_in_day, glob_max_opt_iter, glob_log10abserr, glob_normmax, glob_curr_iter_when_opt, glob_small_float, glob_optimal_start, glob_no_eqs, sec_in_min, glob_iter, glob_max_sec, glob_warned, glob_unchanged_h_cnt, glob_hmin, glob_disp_incr, glob_reached_optimal_h, glob_not_yet_finished, glob_clock_sec, glob_subiter_method, glob_abserr, glob_hmin_init, glob_dump, glob_optimal_expect_sec, MAX_UNCHANGED, glob_not_yet_start_msg, centuries_in_millinium, years_in_century, glob_html_log, glob_percent_done, glob_max_rel_trunc_err, glob_log10_relerr, glob_optimal_done, glob_initial_pass, glob_large_float, glob_hmax, glob_almost_1, glob_display_flag, glob_smallish_float, glob_look_poles, glob_h, glob_clock_start_sec, djd_debug, glob_log10normmin, glob_max_minutes, glob_warned2, glob_max_trunc_err, glob_max_hours, glob_log10_abserr, djd_debug2, array_const_1, array_const_0D0, array_m1, array_tmp4_g, array_type_pole, array_norms, array_y1_init, array_pole, array_x, array_last_rel_error, array_y2, array_y1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_1st_rel_error, array_fact_1, array_y2_init, array_y1_higher_work, array_y2_set_initial, array_y1_set_initial, array_y1_higher_work2, array_y2_higher_work2, array_y2_higher, array_y2_higher_work, array_poles, array_y1_higher, array_complex_pole, array_fact_2, array_real_pole, glob_last; n := glob_max_terms; m := n - 2; while 10 <= m and (abs(array_y2_higher[1, m]) < glob_small_float or abs(array_y2_higher[1, m - 1]) < glob_small_float or abs(array_y2_higher[1, m - 2]) < glob_small_float) do m := m - 1 end do; if 10 < m then rm0 := array_y2_higher[1, m]/array_y2_higher[1, m - 1]; rm1 := array_y2_higher[1, m - 1]/array_y2_higher[1, m - 2]; hdrc := convfloat(m - 1)*rm0 - convfloat(m - 2)*rm1; if glob_small_float < abs(hdrc) then rcs := glob_h/hdrc; ord_no := convfloat(m - 1)*rm0/hdrc - convfloat(m) + 2.0; array_real_pole[1, 1] := rcs; array_real_pole[1, 2] := ord_no else array_real_pole[1, 1] := glob_large_float; array_real_pole[1, 2] := glob_large_float end if else array_real_pole[1, 1] := glob_large_float; array_real_pole[1, 2] := glob_large_float end if; n := glob_max_terms; m := n - 2; while 10 <= m and (abs(array_y1_higher[1, m]) < glob_small_float or abs(array_y1_higher[1, m - 1]) < glob_small_float or abs(array_y1_higher[1, m - 2]) < glob_small_float) do m := m - 1 end do; if 10 < m then rm0 := array_y1_higher[1, m]/array_y1_higher[1, m - 1]; rm1 := array_y1_higher[1, m - 1]/array_y1_higher[1, m - 2]; hdrc := convfloat(m - 1)*rm0 - convfloat(m - 2)*rm1; if glob_small_float < abs(hdrc) then rcs := glob_h/hdrc; ord_no := convfloat(m - 1)*rm0/hdrc - convfloat(m) + 2.0; array_real_pole[2, 1] := rcs; array_real_pole[2, 2] := ord_no else array_real_pole[2, 1] := glob_large_float; array_real_pole[2, 2] := glob_large_float end if else array_real_pole[2, 1] := glob_large_float; array_real_pole[2, 2] := glob_large_float end if; n := glob_max_terms - 2; cnt := 0; while cnt < 5 and 10 <= n do if glob_small_float < abs(array_y2_higher[1, n]) then cnt := cnt + 1 else cnt := 0 end if; n := n - 1 end do; m := n + cnt; if m <= 10 then array_complex_pole[1, 1] := glob_large_float; array_complex_pole[1, 2] := glob_large_float elif glob_large_float <= abs(array_y2_higher[1, m]) or glob_large_float <= abs(array_y2_higher[1, m - 1]) or glob_large_float <= abs(array_y2_higher[1, m - 2]) or glob_large_float <= abs(array_y2_higher[1, m - 3]) or glob_large_float <= abs(array_y2_higher[1, m - 4]) or glob_large_float <= abs(array_y2_higher[1, m - 5]) then array_complex_pole[1, 1] := glob_large_float; array_complex_pole[1, 2] := glob_large_float else rm0 := array_y2_higher[1, m]/array_y2_higher[1, m - 1]; rm1 := array_y2_higher[1, m - 1]/array_y2_higher[1, m - 2]; rm2 := array_y2_higher[1, m - 2]/array_y2_higher[1, m - 3]; rm3 := array_y2_higher[1, m - 3]/array_y2_higher[1, m - 4]; rm4 := array_y2_higher[1, m - 4]/array_y2_higher[1, m - 5]; nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1 + convfloat(m - 3)*rm2; nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2 + convfloat(m - 4)*rm3; dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3; dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4; ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3; ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4; if abs(nr1*dr2 - nr2*dr1) <= glob_small_float or abs(dr1) <= glob_small_float then array_complex_pole[1, 1] := glob_large_float; array_complex_pole[1, 2] := glob_large_float else if glob_small_float < abs(nr1*dr2 - nr2*dr1) then rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1); ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0; if glob_small_float < abs(rcs) then if 0. < rcs then rad_c := sqrt(rcs)*glob_h else rad_c := glob_large_float end if else rad_c := glob_large_float; ord_no := glob_large_float end if else rad_c := glob_large_float; ord_no := glob_large_float end if end if; array_complex_pole[1, 1] := rad_c; array_complex_pole[1, 2] := ord_no end if; n := glob_max_terms - 2; cnt := 0; while cnt < 5 and 10 <= n do if glob_small_float < abs(array_y1_higher[1, n]) then cnt := cnt + 1 else cnt := 0 end if; n := n - 1 end do; m := n + cnt; if m <= 10 then array_complex_pole[2, 1] := glob_large_float; array_complex_pole[2, 2] := glob_large_float elif glob_large_float <= abs(array_y1_higher[1, m]) or glob_large_float <= abs(array_y1_higher[1, m - 1]) or glob_large_float <= abs(array_y1_higher[1, m - 2]) or glob_large_float <= abs(array_y1_higher[1, m - 3]) or glob_large_float <= abs(array_y1_higher[1, m - 4]) or glob_large_float <= abs(array_y1_higher[1, m - 5]) then array_complex_pole[2, 1] := glob_large_float; array_complex_pole[2, 2] := glob_large_float else rm0 := array_y1_higher[1, m]/array_y1_higher[1, m - 1]; rm1 := array_y1_higher[1, m - 1]/array_y1_higher[1, m - 2]; rm2 := array_y1_higher[1, m - 2]/array_y1_higher[1, m - 3]; rm3 := array_y1_higher[1, m - 3]/array_y1_higher[1, m - 4]; rm4 := array_y1_higher[1, m - 4]/array_y1_higher[1, m - 5]; nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1 + convfloat(m - 3)*rm2; nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2 + convfloat(m - 4)*rm3; dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3; dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4; ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3; ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4; if abs(nr1*dr2 - nr2*dr1) <= glob_small_float or abs(dr1) <= glob_small_float then array_complex_pole[2, 1] := glob_large_float; array_complex_pole[2, 2] := glob_large_float else if glob_small_float < abs(nr1*dr2 - nr2*dr1) then rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1); ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0; if glob_small_float < abs(rcs) then if 0. < rcs then rad_c := sqrt(rcs)*glob_h else rad_c := glob_large_float end if else rad_c := glob_large_float; ord_no := glob_large_float end if else rad_c := glob_large_float; ord_no := glob_large_float end if end if; array_complex_pole[2, 1] := rad_c; array_complex_pole[2, 2] := ord_no end if; found := false; if not found and (array_real_pole[1, 1] = glob_large_float or array_real_pole[1, 2] = glob_large_float) and array_complex_pole[1, 1] <> glob_large_float and array_complex_pole[1, 2] <> glob_large_float and 0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then array_poles[1, 1] := array_complex_pole[1, 1]; array_poles[1, 2] := array_complex_pole[1, 2]; found := true; array_type_pole[1] := 2; if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used") end if end if; if not found and array_real_pole[1, 1] <> glob_large_float and array_real_pole[1, 2] <> glob_large_float and 0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] and ( array_complex_pole[1, 1] = glob_large_float or array_complex_pole[1, 2] = glob_large_float or array_complex_pole[1, 1] <= 0. or array_complex_pole[1, 2] <= 0.) then array_poles[1, 1] := array_real_pole[1, 1]; array_poles[1, 2] := array_real_pole[1, 2]; found := true; array_type_pole[1] := 1; if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used") end if end if; if not found and (array_real_pole[1, 1] = glob_large_float or array_real_pole[1, 2] = glob_large_float) and ( array_complex_pole[1, 1] = glob_large_float or array_complex_pole[1, 2] = glob_large_float) then array_poles[1, 1] := glob_large_float; array_poles[1, 2] := glob_large_float; found := true; array_type_pole[1] := 3; if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if end if; if not found and array_real_pole[1, 1] < array_complex_pole[1, 1] and 0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] then array_poles[1, 1] := array_real_pole[1, 1]; array_poles[1, 2] := array_real_pole[1, 2]; found := true; array_type_pole[1] := 1; if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used") end if end if; if not found and array_complex_pole[1, 1] <> glob_large_float and array_complex_pole[1, 2] <> glob_large_float and 0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then array_poles[1, 1] := array_complex_pole[1, 1]; array_poles[1, 2] := array_complex_pole[1, 2]; array_type_pole[1] := 2; found := true; if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used") end if end if; if not found then array_poles[1, 1] := glob_large_float; array_poles[1, 2] := glob_large_float; array_type_pole[1] := 3; if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if end if; found := false; if not found and (array_real_pole[2, 1] = glob_large_float or array_real_pole[2, 2] = glob_large_float) and array_complex_pole[2, 1] <> glob_large_float and array_complex_pole[2, 2] <> glob_large_float and 0. < array_complex_pole[2, 1] and 0. < array_complex_pole[2, 2] then array_poles[2, 1] := array_complex_pole[2, 1]; array_poles[2, 2] := array_complex_pole[2, 2]; found := true; array_type_pole[2] := 2; if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used") end if end if; if not found and array_real_pole[2, 1] <> glob_large_float and array_real_pole[2, 2] <> glob_large_float and 0. < array_real_pole[2, 1] and 0. < array_real_pole[2, 2] and ( array_complex_pole[2, 1] = glob_large_float or array_complex_pole[2, 2] = glob_large_float or array_complex_pole[2, 1] <= 0. or array_complex_pole[2, 2] <= 0.) then array_poles[2, 1] := array_real_pole[2, 1]; array_poles[2, 2] := array_real_pole[2, 2]; found := true; array_type_pole[2] := 1; if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used") end if end if; if not found and (array_real_pole[2, 1] = glob_large_float or array_real_pole[2, 2] = glob_large_float) and ( array_complex_pole[2, 1] = glob_large_float or array_complex_pole[2, 2] = glob_large_float) then array_poles[2, 1] := glob_large_float; array_poles[2, 2] := glob_large_float; found := true; array_type_pole[2] := 3; if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if end if; if not found and array_real_pole[2, 1] < array_complex_pole[2, 1] and 0. < array_real_pole[2, 1] and 0. < array_real_pole[2, 2] then array_poles[2, 1] := array_real_pole[2, 1]; array_poles[2, 2] := array_real_pole[2, 2]; found := true; array_type_pole[2] := 1; if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used") end if end if; if not found and array_complex_pole[2, 1] <> glob_large_float and array_complex_pole[2, 2] <> glob_large_float and 0. < array_complex_pole[2, 1] and 0. < array_complex_pole[2, 2] then array_poles[2, 1] := array_complex_pole[2, 1]; array_poles[2, 2] := array_complex_pole[2, 2]; array_type_pole[2] := 2; found := true; if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used") end if end if; if not found then array_poles[2, 1] := glob_large_float; array_poles[2, 2] := glob_large_float; array_type_pole[2] := 3; if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if end if; array_pole[1] := glob_large_float; array_pole[2] := glob_large_float; if array_poles[1, 1] < array_pole[1] then array_pole[1] := array_poles[1, 1]; array_pole[2] := array_poles[1, 2] end if; if array_poles[2, 1] < array_pole[1] then array_pole[1] := array_poles[2, 1]; array_pole[2] := array_poles[2, 2] end if; display_pole() end proc > # Begin Function number 7 > get_norms := proc() > global > DEBUGL, > glob_max_terms, > glob_iolevel, > DEBUGMASSIVE, > INFO, > ALWAYS, > #Top Generate Globals Decl > glob_start, > glob_max_iter, > glob_relerr, > glob_dump_analytic, > glob_last_good_h, > min_in_hour, > glob_current_iter, > days_in_year, > glob_log10relerr, > glob_orig_start_sec, > glob_optimal_clock_start_sec, > hours_in_day, > glob_max_opt_iter, > glob_log10abserr, > glob_normmax, > glob_curr_iter_when_opt, > glob_small_float, > glob_optimal_start, > glob_no_eqs, > sec_in_min, > glob_iter, > glob_max_sec, > glob_warned, > glob_unchanged_h_cnt, > glob_hmin, > glob_disp_incr, > glob_reached_optimal_h, > glob_not_yet_finished, > glob_clock_sec, > glob_subiter_method, > glob_abserr, > glob_hmin_init, > glob_dump, > glob_optimal_expect_sec, > MAX_UNCHANGED, > glob_not_yet_start_msg, > centuries_in_millinium, > years_in_century, > glob_html_log, > glob_percent_done, > glob_max_rel_trunc_err, > glob_log10_relerr, > glob_optimal_done, > glob_initial_pass, > glob_large_float, > glob_hmax, > glob_almost_1, > glob_display_flag, > glob_smallish_float, > glob_look_poles, > glob_h, > glob_clock_start_sec, > djd_debug, > glob_log10normmin, > glob_max_minutes, > glob_warned2, > glob_max_trunc_err, > glob_max_hours, > glob_log10_abserr, > djd_debug2, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > #END CONST > array_m1, > array_tmp4_g, > array_type_pole, > array_norms, > array_y1_init, > array_pole, > array_x, > array_last_rel_error, > array_y2, > array_y1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_1st_rel_error, > array_fact_1, > array_y2_init, > array_y1_higher_work, > array_y2_set_initial, > array_y1_set_initial, > array_y1_higher_work2, > array_y2_higher_work2, > array_y2_higher, > array_y2_higher_work, > array_poles, > array_y1_higher, > array_complex_pole, > array_fact_2, > array_real_pole, > glob_last; > > local iii; > if (not glob_initial_pass) then # if number 3 > set_z(array_norms,glob_max_terms+1); > #TOP GET NORMS > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > if (abs(array_y2[iii]) > array_norms[iii]) then # if number 4 > array_norms[iii] := abs(array_y2[iii]); > fi;# end if 4 > ; > iii := iii + 1; > od;# end do number 2 > ; > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > if (abs(array_y1[iii]) > array_norms[iii]) then # if number 4 > array_norms[iii] := abs(array_y1[iii]); > fi;# end if 4 > ; > iii := iii + 1; > od;# end do number 2 > #GET NORMS > ; > fi;# end if 3 > ; > # End Function number 7 > end; get_norms := proc() local iii; global DEBUGL, glob_max_terms, glob_iolevel, DEBUGMASSIVE, INFO, ALWAYS, glob_start, glob_max_iter, glob_relerr, glob_dump_analytic, glob_last_good_h, min_in_hour, glob_current_iter, days_in_year, glob_log10relerr, glob_orig_start_sec, glob_optimal_clock_start_sec, hours_in_day, glob_max_opt_iter, glob_log10abserr, glob_normmax, glob_curr_iter_when_opt, glob_small_float, glob_optimal_start, glob_no_eqs, sec_in_min, glob_iter, glob_max_sec, glob_warned, glob_unchanged_h_cnt, glob_hmin, glob_disp_incr, glob_reached_optimal_h, glob_not_yet_finished, glob_clock_sec, glob_subiter_method, glob_abserr, glob_hmin_init, glob_dump, glob_optimal_expect_sec, MAX_UNCHANGED, glob_not_yet_start_msg, centuries_in_millinium, years_in_century, glob_html_log, glob_percent_done, glob_max_rel_trunc_err, glob_log10_relerr, glob_optimal_done, glob_initial_pass, glob_large_float, glob_hmax, glob_almost_1, glob_display_flag, glob_smallish_float, glob_look_poles, glob_h, glob_clock_start_sec, djd_debug, glob_log10normmin, glob_max_minutes, glob_warned2, glob_max_trunc_err, glob_max_hours, glob_log10_abserr, djd_debug2, array_const_1, array_const_0D0, array_m1, array_tmp4_g, array_type_pole, array_norms, array_y1_init, array_pole, array_x, array_last_rel_error, array_y2, array_y1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_1st_rel_error, array_fact_1, array_y2_init, array_y1_higher_work, array_y2_set_initial, array_y1_set_initial, array_y1_higher_work2, array_y2_higher_work2, array_y2_higher, array_y2_higher_work, array_poles, array_y1_higher, array_complex_pole, array_fact_2, array_real_pole, glob_last; if not glob_initial_pass then set_z(array_norms, glob_max_terms + 1); iii := 1; while iii <= glob_max_terms do if array_norms[iii] < abs(array_y2[iii]) then array_norms[iii] := abs(array_y2[iii]) end if; iii := iii + 1 end do; iii := 1; while iii <= glob_max_terms do if array_norms[iii] < abs(array_y1[iii]) then array_norms[iii] := abs(array_y1[iii]) end if; iii := iii + 1 end do end if end proc > # Begin Function number 8 > atomall := proc() > global > DEBUGL, > glob_max_terms, > glob_iolevel, > DEBUGMASSIVE, > INFO, > ALWAYS, > #Top Generate Globals Decl > glob_start, > glob_max_iter, > glob_relerr, > glob_dump_analytic, > glob_last_good_h, > min_in_hour, > glob_current_iter, > days_in_year, > glob_log10relerr, > glob_orig_start_sec, > glob_optimal_clock_start_sec, > hours_in_day, > glob_max_opt_iter, > glob_log10abserr, > glob_normmax, > glob_curr_iter_when_opt, > glob_small_float, > glob_optimal_start, > glob_no_eqs, > sec_in_min, > glob_iter, > glob_max_sec, > glob_warned, > glob_unchanged_h_cnt, > glob_hmin, > glob_disp_incr, > glob_reached_optimal_h, > glob_not_yet_finished, > glob_clock_sec, > glob_subiter_method, > glob_abserr, > glob_hmin_init, > glob_dump, > glob_optimal_expect_sec, > MAX_UNCHANGED, > glob_not_yet_start_msg, > centuries_in_millinium, > years_in_century, > glob_html_log, > glob_percent_done, > glob_max_rel_trunc_err, > glob_log10_relerr, > glob_optimal_done, > glob_initial_pass, > glob_large_float, > glob_hmax, > glob_almost_1, > glob_display_flag, > glob_smallish_float, > glob_look_poles, > glob_h, > glob_clock_start_sec, > djd_debug, > glob_log10normmin, > glob_max_minutes, > glob_warned2, > glob_max_trunc_err, > glob_max_hours, > glob_log10_abserr, > djd_debug2, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > #END CONST > array_m1, > array_tmp4_g, > array_type_pole, > array_norms, > array_y1_init, > array_pole, > array_x, > array_last_rel_error, > array_y2, > array_y1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_1st_rel_error, > array_fact_1, > array_y2_init, > array_y1_higher_work, > array_y2_set_initial, > array_y1_set_initial, > array_y1_higher_work2, > array_y2_higher_work2, > array_y2_higher, > array_y2_higher_work, > array_poles, > array_y1_higher, > array_complex_pole, > array_fact_2, > array_real_pole, > glob_last; > > local kkk, order_d, adj2, temporary, term; > #TOP ATOMALL > #END OUTFILE1 > #BEGIN ATOMHDR1 > #emit pre diff $eq_no = 1 i = 1 > array_tmp1[1] := array_y1_higher[2,1]; > #emit pre add $eq_no = 1 i = 1 > array_tmp2[1] := array_const_0D0[1] + array_tmp1[1]; > #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5 > if not array_y2_set_initial[1,2] then # if number 1 > if (1 <= glob_max_terms) then # if number 2 > temporary := array_tmp2[1] * (glob_h ^ (1)) * factorial_3(0,1); > array_y2[2] := temporary; > array_y2_higher[1,2] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,1] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 2; > #emit pre sin $eq_no = 2 iii = 1 > #emit pre sin 1 $eq_no = 2 > array_tmp4[1] := sin(array_x[1]); > array_tmp4_g[1] := cos(array_x[1]); > #emit pre assign xxx $eq_no = 2 i = 1 $min_hdrs = 5 > if not array_y1_set_initial[2,2] then # if number 1 > if (1 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[1] * (glob_h ^ (1)) * factorial_3(0,1); > array_y1[2] := temporary; > array_y1_higher[1,2] := temporary; > temporary := temporary / glob_h * (2.0); > array_y1_higher[2,1] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 2; > #END ATOMHDR1 > #BEGIN ATOMHDR2 > #emit pre diff $eq_no = 1 i = 2 > array_tmp1[2] := array_y1_higher[2,2]; > #emit pre add $eq_no = 1 i = 2 > array_tmp2[2] := array_const_0D0[2] + array_tmp1[2]; > #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5 > if not array_y2_set_initial[1,3] then # if number 1 > if (2 <= glob_max_terms) then # if number 2 > temporary := array_tmp2[2] * (glob_h ^ (1)) * factorial_3(1,2); > array_y2[3] := temporary; > array_y2_higher[1,3] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,2] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 3; > #emit pre sin $eq_no = 2 iii = 2 > #emit pre sin 2 $eq_no = 2 > array_tmp4[2] := att(1,array_tmp4_g,array_x,1); > array_tmp4_g[2] := -att(1,array_tmp4,array_x,1); > #emit pre assign xxx $eq_no = 2 i = 2 $min_hdrs = 5 > if not array_y1_set_initial[2,3] then # if number 1 > if (2 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[2] * (glob_h ^ (1)) * factorial_3(1,2); > array_y1[3] := temporary; > array_y1_higher[1,3] := temporary; > temporary := temporary / glob_h * (2.0); > array_y1_higher[2,2] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 3; > #END ATOMHDR2 > #BEGIN ATOMHDR3 > #emit pre diff $eq_no = 1 i = 3 > array_tmp1[3] := array_y1_higher[2,3]; > #emit pre add $eq_no = 1 i = 3 > array_tmp2[3] := array_const_0D0[3] + array_tmp1[3]; > #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5 > if not array_y2_set_initial[1,4] then # if number 1 > if (3 <= glob_max_terms) then # if number 2 > temporary := array_tmp2[3] * (glob_h ^ (1)) * factorial_3(2,3); > array_y2[4] := temporary; > array_y2_higher[1,4] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,3] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 4; > #emit pre sin $eq_no = 2 iii = 3 > #emit pre sin 3 $eq_no = 2 > array_tmp4[3] := att(2,array_tmp4_g,array_x,1); > array_tmp4_g[3] := -att(2,array_tmp4,array_x,1); > #emit pre assign xxx $eq_no = 2 i = 3 $min_hdrs = 5 > if not array_y1_set_initial[2,4] then # if number 1 > if (3 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[3] * (glob_h ^ (1)) * factorial_3(2,3); > array_y1[4] := temporary; > array_y1_higher[1,4] := temporary; > temporary := temporary / glob_h * (2.0); > array_y1_higher[2,3] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 4; > #END ATOMHDR3 > #BEGIN ATOMHDR4 > #emit pre diff $eq_no = 1 i = 4 > array_tmp1[4] := array_y1_higher[2,4]; > #emit pre add $eq_no = 1 i = 4 > array_tmp2[4] := array_const_0D0[4] + array_tmp1[4]; > #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5 > if not array_y2_set_initial[1,5] then # if number 1 > if (4 <= glob_max_terms) then # if number 2 > temporary := array_tmp2[4] * (glob_h ^ (1)) * factorial_3(3,4); > array_y2[5] := temporary; > array_y2_higher[1,5] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,4] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 5; > #emit pre sin $eq_no = 2 iii = 4 > #emit pre sin 4 $eq_no = 2 > array_tmp4[4] := att(3,array_tmp4_g,array_x,1); > array_tmp4_g[4] := -att(3,array_tmp4,array_x,1); > #emit pre assign xxx $eq_no = 2 i = 4 $min_hdrs = 5 > if not array_y1_set_initial[2,5] then # if number 1 > if (4 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[4] * (glob_h ^ (1)) * factorial_3(3,4); > array_y1[5] := temporary; > array_y1_higher[1,5] := temporary; > temporary := temporary / glob_h * (2.0); > array_y1_higher[2,4] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 5; > #END ATOMHDR4 > #BEGIN ATOMHDR5 > #emit pre diff $eq_no = 1 i = 5 > array_tmp1[5] := array_y1_higher[2,5]; > #emit pre add $eq_no = 1 i = 5 > array_tmp2[5] := array_const_0D0[5] + array_tmp1[5]; > #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5 > if not array_y2_set_initial[1,6] then # if number 1 > if (5 <= glob_max_terms) then # if number 2 > temporary := array_tmp2[5] * (glob_h ^ (1)) * factorial_3(4,5); > array_y2[6] := temporary; > array_y2_higher[1,6] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,5] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 6; > #emit pre sin $eq_no = 2 iii = 5 > #emit pre sin 5 $eq_no = 2 > array_tmp4[5] := att(4,array_tmp4_g,array_x,1); > array_tmp4_g[5] := -att(4,array_tmp4,array_x,1); > #emit pre assign xxx $eq_no = 2 i = 5 $min_hdrs = 5 > if not array_y1_set_initial[2,6] then # if number 1 > if (5 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[5] * (glob_h ^ (1)) * factorial_3(4,5); > array_y1[6] := temporary; > array_y1_higher[1,6] := temporary; > temporary := temporary / glob_h * (2.0); > array_y1_higher[2,5] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 6; > #END ATOMHDR5 > #BEGIN OUTFILE3 > #Top Atomall While Loop-- outfile3 > while (kkk <= glob_max_terms) do # do number 1 > #END OUTFILE3 > #BEGIN OUTFILE4 > #emit diff $eq_no = 1 > array_tmp1[kkk] := array_y1_higher[2,kkk]; > #emit add $eq_no = 1 > array_tmp2[kkk] := array_const_0D0[kkk] + array_tmp1[kkk]; > #emit assign $eq_no = 1 > order_d := 1; > if (kkk + order_d + 1 <= glob_max_terms) then # if number 1 > if not array_y2_set_initial[1,kkk + order_d] then # if number 2 > temporary := array_tmp2[kkk] * (glob_h ^ (order_d)) / factorial_3((kkk - 1),(kkk + order_d - 1)); > array_y2[kkk + order_d] := temporary; > array_y2_higher[1,kkk + order_d] := temporary; > term := kkk + order_d - 1; > adj2 := 2; > while (adj2 <= order_d + 1) and (term >= 1) do # do number 2 > temporary := temporary / glob_h * convfp(adj2); > array_y2_higher[adj2,term] := temporary; > adj2 := adj2 + 1; > term := term - 1; > od;# end do number 2 > fi;# end if 2 > fi;# end if 1 > ; > #emit sin $eq_no = 2 > array_tmp4[kkk] := att(kkk-1,array_tmp4_g,array_x,1); > array_tmp4_g[kkk] := -att(kkk-1,array_tmp4,array_x,1); > #emit assign $eq_no = 2 > order_d := 1; > if (kkk + order_d + 1 <= glob_max_terms) then # if number 1 > if not array_y1_set_initial[2,kkk + order_d] then # if number 2 > temporary := array_tmp4[kkk] * (glob_h ^ (order_d)) / factorial_3((kkk - 1),(kkk + order_d - 1)); > array_y1[kkk + order_d] := temporary; > array_y1_higher[1,kkk + order_d] := temporary; > term := kkk + order_d - 1; > adj2 := 2; > while (adj2 <= order_d + 1) and (term >= 1) do # do number 2 > temporary := temporary / glob_h * convfp(adj2); > array_y1_higher[adj2,term] := temporary; > adj2 := adj2 + 1; > term := term - 1; > od;# end do number 2 > fi;# end if 2 > fi;# end if 1 > ; > kkk := kkk + 1; > od;# end do number 1 > ; > #BOTTOM ATOMALL > #END OUTFILE4 > #BEGIN OUTFILE5 > # End Function number 8 > end; atomall := proc() local kkk, order_d, adj2, temporary, term; global DEBUGL, glob_max_terms, glob_iolevel, DEBUGMASSIVE, INFO, ALWAYS, glob_start, glob_max_iter, glob_relerr, glob_dump_analytic, glob_last_good_h, min_in_hour, glob_current_iter, days_in_year, glob_log10relerr, glob_orig_start_sec, glob_optimal_clock_start_sec, hours_in_day, glob_max_opt_iter, glob_log10abserr, glob_normmax, glob_curr_iter_when_opt, glob_small_float, glob_optimal_start, glob_no_eqs, sec_in_min, glob_iter, glob_max_sec, glob_warned, glob_unchanged_h_cnt, glob_hmin, glob_disp_incr, glob_reached_optimal_h, glob_not_yet_finished, glob_clock_sec, glob_subiter_method, glob_abserr, glob_hmin_init, glob_dump, glob_optimal_expect_sec, MAX_UNCHANGED, glob_not_yet_start_msg, centuries_in_millinium, years_in_century, glob_html_log, glob_percent_done, glob_max_rel_trunc_err, glob_log10_relerr, glob_optimal_done, glob_initial_pass, glob_large_float, glob_hmax, glob_almost_1, glob_display_flag, glob_smallish_float, glob_look_poles, glob_h, glob_clock_start_sec, djd_debug, glob_log10normmin, glob_max_minutes, glob_warned2, glob_max_trunc_err, glob_max_hours, glob_log10_abserr, djd_debug2, array_const_1, array_const_0D0, array_m1, array_tmp4_g, array_type_pole, array_norms, array_y1_init, array_pole, array_x, array_last_rel_error, array_y2, array_y1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_1st_rel_error, array_fact_1, array_y2_init, array_y1_higher_work, array_y2_set_initial, array_y1_set_initial, array_y1_higher_work2, array_y2_higher_work2, array_y2_higher, array_y2_higher_work, array_poles, array_y1_higher, array_complex_pole, array_fact_2, array_real_pole, glob_last; array_tmp1[1] := array_y1_higher[2, 1]; array_tmp2[1] := array_const_0D0[1] + array_tmp1[1]; if not array_y2_set_initial[1, 2] then if 1 <= glob_max_terms then temporary := array_tmp2[1]*glob_h*factorial_3(0, 1); array_y2[2] := temporary; array_y2_higher[1, 2] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 1] := temporary end if end if; kkk := 2; array_tmp4[1] := sin(array_x[1]); array_tmp4_g[1] := cos(array_x[1]); if not array_y1_set_initial[2, 2] then if 1 <= glob_max_terms then temporary := array_tmp4[1]*glob_h*factorial_3(0, 1); array_y1[2] := temporary; array_y1_higher[1, 2] := temporary; temporary := temporary*2.0/glob_h; array_y1_higher[2, 1] := temporary end if end if; kkk := 2; array_tmp1[2] := array_y1_higher[2, 2]; array_tmp2[2] := array_const_0D0[2] + array_tmp1[2]; if not array_y2_set_initial[1, 3] then if 2 <= glob_max_terms then temporary := array_tmp2[2]*glob_h*factorial_3(1, 2); array_y2[3] := temporary; array_y2_higher[1, 3] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 2] := temporary end if end if; kkk := 3; array_tmp4[2] := att(1, array_tmp4_g, array_x, 1); array_tmp4_g[2] := -att(1, array_tmp4, array_x, 1); if not array_y1_set_initial[2, 3] then if 2 <= glob_max_terms then temporary := array_tmp4[2]*glob_h*factorial_3(1, 2); array_y1[3] := temporary; array_y1_higher[1, 3] := temporary; temporary := temporary*2.0/glob_h; array_y1_higher[2, 2] := temporary end if end if; kkk := 3; array_tmp1[3] := array_y1_higher[2, 3]; array_tmp2[3] := array_const_0D0[3] + array_tmp1[3]; if not array_y2_set_initial[1, 4] then if 3 <= glob_max_terms then temporary := array_tmp2[3]*glob_h*factorial_3(2, 3); array_y2[4] := temporary; array_y2_higher[1, 4] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 3] := temporary end if end if; kkk := 4; array_tmp4[3] := att(2, array_tmp4_g, array_x, 1); array_tmp4_g[3] := -att(2, array_tmp4, array_x, 1); if not array_y1_set_initial[2, 4] then if 3 <= glob_max_terms then temporary := array_tmp4[3]*glob_h*factorial_3(2, 3); array_y1[4] := temporary; array_y1_higher[1, 4] := temporary; temporary := temporary*2.0/glob_h; array_y1_higher[2, 3] := temporary end if end if; kkk := 4; array_tmp1[4] := array_y1_higher[2, 4]; array_tmp2[4] := array_const_0D0[4] + array_tmp1[4]; if not array_y2_set_initial[1, 5] then if 4 <= glob_max_terms then temporary := array_tmp2[4]*glob_h*factorial_3(3, 4); array_y2[5] := temporary; array_y2_higher[1, 5] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 4] := temporary end if end if; kkk := 5; array_tmp4[4] := att(3, array_tmp4_g, array_x, 1); array_tmp4_g[4] := -att(3, array_tmp4, array_x, 1); if not array_y1_set_initial[2, 5] then if 4 <= glob_max_terms then temporary := array_tmp4[4]*glob_h*factorial_3(3, 4); array_y1[5] := temporary; array_y1_higher[1, 5] := temporary; temporary := temporary*2.0/glob_h; array_y1_higher[2, 4] := temporary end if end if; kkk := 5; array_tmp1[5] := array_y1_higher[2, 5]; array_tmp2[5] := array_const_0D0[5] + array_tmp1[5]; if not array_y2_set_initial[1, 6] then if 5 <= glob_max_terms then temporary := array_tmp2[5]*glob_h*factorial_3(4, 5); array_y2[6] := temporary; array_y2_higher[1, 6] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 5] := temporary end if end if; kkk := 6; array_tmp4[5] := att(4, array_tmp4_g, array_x, 1); array_tmp4_g[5] := -att(4, array_tmp4, array_x, 1); if not array_y1_set_initial[2, 6] then if 5 <= glob_max_terms then temporary := array_tmp4[5]*glob_h*factorial_3(4, 5); array_y1[6] := temporary; array_y1_higher[1, 6] := temporary; temporary := temporary*2.0/glob_h; array_y1_higher[2, 5] := temporary end if end if; kkk := 6; while kkk <= glob_max_terms do array_tmp1[kkk] := array_y1_higher[2, kkk]; array_tmp2[kkk] := array_const_0D0[kkk] + array_tmp1[kkk]; order_d := 1; if kkk + order_d + 1 <= glob_max_terms then if not array_y2_set_initial[1, kkk + order_d] then temporary := array_tmp2[kkk]*glob_h^order_d/ factorial_3(kkk - 1, kkk + order_d - 1); array_y2[kkk + order_d] := temporary; array_y2_higher[1, kkk + order_d] := temporary; term := kkk + order_d - 1; adj2 := 2; while adj2 <= order_d + 1 and 1 <= term do temporary := temporary*convfp(adj2)/glob_h; array_y2_higher[adj2, term] := temporary; adj2 := adj2 + 1; term := term - 1 end do end if end if; array_tmp4[kkk] := att(kkk - 1, array_tmp4_g, array_x, 1); array_tmp4_g[kkk] := -att(kkk - 1, array_tmp4, array_x, 1); order_d := 1; if kkk + order_d + 1 <= glob_max_terms then if not array_y1_set_initial[2, kkk + order_d] then temporary := array_tmp4[kkk]*glob_h^order_d/ factorial_3(kkk - 1, kkk + order_d - 1); array_y1[kkk + order_d] := temporary; array_y1_higher[1, kkk + order_d] := temporary; term := kkk + order_d - 1; adj2 := 2; while adj2 <= order_d + 1 and 1 <= term do temporary := temporary*convfp(adj2)/glob_h; array_y1_higher[adj2, term] := temporary; adj2 := adj2 + 1; term := term - 1 end do end if end if; kkk := kkk + 1 end do end proc > #BEGIN ATS LIBRARY BLOCK > omniout_str := proc(iolevel,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > printf("%s\n",str); > fi; > # End Function number 1 > end; omniout_str := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s\n", str) end if end proc > omniout_str_noeol := proc(iolevel,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > printf("%s",str); > fi; > # End Function number 1 > end; omniout_str_noeol := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s", str) end if end proc > omniout_labstr := proc(iolevel,label,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > print(label,str); > fi; > # End Function number 1 > end; omniout_labstr := proc(iolevel, label, str) global glob_iolevel; if iolevel <= glob_iolevel then print(label, str) end if end proc > omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > if vallen = 4 then > printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel); > else > printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel); > fi; > fi; > # End Function number 1 > end; omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then if vallen = 4 then printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel) else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel) end if end if end proc > omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > if vallen = 5 then > printf("%-30s = %-32d %s\n",prelabel,value, postlabel); > else > printf("%-30s = %-32d %s \n",prelabel,value, postlabel); > fi; > fi; > # End Function number 1 > end; omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then if vallen = 5 then printf("%-30s = %-32d %s\n", prelabel, value, postlabel) else printf("%-30s = %-32d %s \n", prelabel, value, postlabel) end if end if end proc > omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > print(prelabel,"[",elemnt,"]",value, postlabel); > fi; > # End Function number 1 > 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 > dump_series := proc(iolevel,dump_label,series_name, > array_series,numb) > global glob_iolevel; > local i; > if (glob_iolevel >= iolevel) then > i := 1; > while (i <= numb) do > print(dump_label,series_name > ,i,array_series[i]); > i := i + 1; > od; > fi; > # End Function number 1 > end; dump_series := proc(iolevel, dump_label, series_name, array_series, numb) local i; global glob_iolevel; if iolevel <= glob_iolevel then i := 1; while i <= numb do print(dump_label, series_name, i, array_series[i]); i := i + 1 end do end if end proc > dump_series_2 := proc(iolevel,dump_label,series_name2, > array_series2,numb,subnum,array_x) > global glob_iolevel; > local i,sub,ts_term; > if (glob_iolevel >= iolevel) then > sub := 1; > while (sub <= subnum) do > i := 1; > while (i <= numb) do > print(dump_label,series_name2,sub,i,array_series2[sub,i]); > od; > sub := sub + 1; > od; > fi; > # End Function number 1 > end; dump_series_2 := proc( iolevel, dump_label, series_name2, array_series2, numb, subnum, array_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, array_series2[sub, i]) end do; sub := sub + 1 end do end if end proc > cs_info := proc(iolevel,str) > global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h; > if (glob_iolevel >= 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) > fi; > # End Function number 1 > 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 > # Begin Function number 2 > logitem_time := proc(fd,secs_in) > global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century; > local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int; > secs := (secs_in); > if (secs > 0.0) then # if number 1 > sec_in_millinium := convfloat(sec_in_min * min_in_hour * hours_in_day * days_in_year * years_in_century * centuries_in_millinium); > milliniums := convfloat(secs / sec_in_millinium); > millinium_int := floor(milliniums); > centuries := (milliniums - millinium_int)*centuries_in_millinium; > cent_int := floor(centuries); > years := (centuries - cent_int) * years_in_century; > years_int := floor(years); > days := (years - years_int) * days_in_year; > days_int := floor(days); > hours := (days - days_int) * hours_in_day; > hours_int := floor(hours); > minutes := (hours - hours_int) * min_in_hour; > minutes_int := floor(minutes); > seconds := (minutes - minutes_int) * sec_in_min; > sec_int := floor(seconds); > fprintf(fd,""); > if (millinium_int > 0) then # if number 2 > fprintf(fd,"%d Millinia %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",millinium_int,cent_int,years_int,days_int,hours_int,minutes_int,sec_int); > elif (cent_int > 0) then # if number 3 > fprintf(fd,"%d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",cent_int,years_int,days_int,hours_int,minutes_int,sec_int); > elif (years_int > 0) then # if number 4 > 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 5 > 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 6 > fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int); > elif (minutes_int > 0) then # if number 7 > fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int); > else > fprintf(fd,"%d Seconds",sec_int); > fi;# end if 7 > else > fprintf(fd,"Unknown"); > fi;# end if 6 > fprintf(fd,""); > # End Function number 2 > end; logitem_time := proc(fd, secs_in) local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int; global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century; secs := secs_in; if 0. < secs then sec_in_millinium := convfloat(sec_in_min*min_in_hour*hours_in_day* days_in_year*years_in_century*centuries_in_millinium); milliniums := convfloat(secs/sec_in_millinium); millinium_int := floor(milliniums); centuries := (milliniums - millinium_int)*centuries_in_millinium; cent_int := floor(centuries); years := (centuries - cent_int)*years_in_century; years_int := floor(years); days := (years - years_int)*days_in_year; days_int := floor(days); hours := (days - days_int)*hours_in_day; hours_int := floor(hours); minutes := (hours - hours_int)*min_in_hour; minutes_int := floor(minutes); seconds := (minutes - minutes_int)*sec_in_min; sec_int := floor(seconds); fprintf(fd, ""); if 0 < millinium_int then fprintf(fd, "%d Millinia %d Centuries %\ d Years %d Days %d Hours %d Minutes %d Seconds", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < cent_int then fprintf(fd, "%d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elif 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 > omniout_timestr := proc (secs_in) > global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century; > local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int; > secs := convfloat(secs_in); > if (secs > 0.0) then # if number 6 > sec_in_millinium := convfloat(sec_in_min * min_in_hour * hours_in_day * days_in_year * years_in_century * centuries_in_millinium); > milliniums := convfloat(secs / sec_in_millinium); > millinium_int := floor(milliniums); > centuries := (milliniums - millinium_int)*centuries_in_millinium; > cent_int := floor(centuries); > years := (centuries - cent_int) * years_in_century; > years_int := floor(years); > days := (years - years_int) * days_in_year; > days_int := floor(days); > hours := (days - days_int) * hours_in_day; > hours_int := floor(hours); > minutes := (hours - hours_int) * min_in_hour; > minutes_int := floor(minutes); > seconds := (minutes - minutes_int) * sec_in_min; > sec_int := floor(seconds); > > if (millinium_int > 0) then # if number 7 > printf(" = %d Millinia %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds\n",millinium_int,cent_int,years_int,days_int,hours_int,minutes_int,sec_int); > elif (cent_int > 0) then # if number 8 > printf(" = %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds\n",cent_int,years_int,days_int,hours_int,minutes_int,sec_int); > elif (years_int > 0) then # if number 9 > 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 10 > 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 11 > printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int); > elif (minutes_int > 0) then # if number 12 > printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int); > else > printf(" = %d Seconds\n",sec_int); > fi;# end if 12 > else > printf(" Unknown\n"); > fi;# end if 11 > # End Function number 2 > end; omniout_timestr := proc(secs_in) local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int; global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century; secs := convfloat(secs_in); if 0. < secs then sec_in_millinium := convfloat(sec_in_min*min_in_hour*hours_in_day* days_in_year*years_in_century*centuries_in_millinium); milliniums := convfloat(secs/sec_in_millinium); millinium_int := floor(milliniums); centuries := (milliniums - millinium_int)*centuries_in_millinium; cent_int := floor(centuries); years := (centuries - cent_int)*years_in_century; years_int := floor(years); days := (years - years_int)*days_in_year; days_int := floor(days); hours := (days - days_int)*hours_in_day; hours_int := floor(hours); minutes := (hours - hours_int)*min_in_hour; minutes_int := floor(minutes); seconds := (minutes - minutes_int)*sec_in_min; sec_int := floor(seconds); if 0 < millinium_int then printf(" = %d Millinia %d Centuries %d\ Years %d Days %d Hours %d Minutes %d Seconds\n", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < cent_int then printf(" = %d Centuries %d Years %d Days \ %d Hours %d Minutes %d Seconds\n", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < years_int then printf( " = %d Years %d Days %d Hours %d Minutes %d Seconds\n", years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < days_int then printf( " = %d Days %d Hours %d Minutes %d Seconds\n", days_int, hours_int, minutes_int, sec_int) elif 0 < hours_int then printf( " = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int, sec_int) elif 0 < minutes_int then printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int) else printf(" = %d Seconds\n", sec_int) end if else printf(" Unknown\n") end if end proc > > # Begin Function number 3 > ats := proc( > mmm_ats,array_a,array_b,jjj_ats) > local iii_ats, lll_ats,ma_ats, ret_ats; > ret_ats := 0.0; > if (jjj_ats <= mmm_ats) then # if number 11 > 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 + array_a[iii_ats]*array_b[lll_ats]; > iii_ats := iii_ats + 1; > od;# end do number 1 > fi;# end if 11 > ; > ret_ats > # End Function number 3 > end; ats := proc(mmm_ats, array_a, array_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 + array_a[iii_ats]*array_b[lll_ats]; iii_ats := iii_ats + 1 end do end if; ret_ats end proc > > # Begin Function number 4 > att := proc( > mmm_att,array_aa,array_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 11 > 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 12 > ret_att := ret_att + array_aa[iii_att]*array_bb[lll_att]* convfp(al_att); > fi;# end if 12 > ; > iii_att := iii_att + 1; > od;# end do number 1 > ; > ret_att := ret_att / convfp(mmm_att) ; > fi;# end if 11 > ; > ret_att; > # End Function number 4 > end; att := proc(mmm_att, array_aa, array_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 + array_aa[iii_att]*array_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 > # Begin Function number 5 > display_pole := proc() > global ALWAYS,glob_display_flag, glob_large_float, array_pole; > if ((array_pole[1] <> glob_large_float) and (array_pole[1] > 0.0) and (array_pole[2] <> glob_large_float) and (array_pole[2]> 0.0) and glob_display_flag) then # if number 11 > omniout_float(ALWAYS,"Radius of convergence ",4, array_pole[1],4," "); > omniout_float(ALWAYS,"Order of pole ",4, array_pole[2],4," "); > fi;# end if 11 > # End Function number 5 > end; display_pole := proc() global ALWAYS, glob_display_flag, glob_large_float, array_pole; if array_pole[1] <> glob_large_float and 0. < array_pole[1] and array_pole[2] <> glob_large_float and 0. < array_pole[2] and glob_display_flag then omniout_float(ALWAYS, "Radius of convergence ", 4, array_pole[1], 4, " "); omniout_float(ALWAYS, "Order of pole ", 4, array_pole[2], 4, " ") end if end proc > # Begin Function number 6 > logditto := proc(file) > fprintf(file,""); > fprintf(file,"ditto"); > fprintf(file,""); > # End Function number 6 > end; logditto := proc(file) fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, "") end proc > # Begin Function number 7 > logitem_integer := proc(file,n) > fprintf(file,""); > fprintf(file,"%d",n); > fprintf(file,""); > # End Function number 7 > end; logitem_integer := proc(file, n) fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, "") end proc > # Begin Function number 8 > logitem_str := proc(file,str) > fprintf(file,""); > fprintf(file,str); > fprintf(file,""); > # End Function number 8 > end; logitem_str := proc(file, str) fprintf(file, ""); fprintf(file, str); fprintf(file, "") end proc > # Begin Function number 9 > log_revs := proc(file,revs) > fprintf(file,revs); > # End Function number 9 > end; log_revs := proc(file, revs) fprintf(file, revs) end proc > # Begin Function number 10 > logitem_float := proc(file,x) > fprintf(file,""); > fprintf(file,"%g",x); > fprintf(file,""); > # End Function number 10 > end; logitem_float := proc(file, x) fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, "") end proc > # Begin Function number 11 > logitem_pole := proc(file,pole) > fprintf(file,""); > if pole = 0 then # if number 11 > fprintf(file,"NA"); > elif pole = 1 then # if number 12 > fprintf(file,"Real"); > elif pole = 2 then # if number 13 > fprintf(file,"Complex"); > else > fprintf(file,"No Pole"); > fi;# end if 13 > fprintf(file,""); > # End Function number 11 > end; logitem_pole := proc(file, pole) fprintf(file, ""); if pole = 0 then fprintf(file, "NA") elif pole = 1 then fprintf(file, "Real") elif pole = 2 then fprintf(file, "Complex") else fprintf(file, "No Pole") end if; fprintf(file, "") end proc > # Begin Function number 12 > logstart := proc(file) > fprintf(file,""); > # End Function number 12 > end; logstart := proc(file) fprintf(file, "") end proc > # Begin Function number 13 > logend := proc(file) > fprintf(file,"\n"); > # End Function number 13 > end; logend := proc(file) fprintf(file, "\n") end proc > # Begin Function number 14 > 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 13 > omniout_str(ALWAYS,"Illegal max_terms = -- Using 30"); > glob_max_terms := 30; > fi;# end if 13 > ; > if (glob_max_iter < 2) then # if number 13 > omniout_str(ALWAYS,"Illegal max_iter"); > errflag := true; > fi;# end if 13 > ; > if (errflag) then # if number 13 > > quit; > fi;# end if 13 > # End Function number 14 > 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 > > # Begin Function number 15 > comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec) > global glob_small_float; > local ms2, rrr, sec_left, sub1, sub2; > ; > ms2 := clock_sec; > sub1 := (t_end2-t_start2); > sub2 := (t2-t_start2); > if (sub1 = 0.0) then # if number 13 > sec_left := 0.0; > else > if (abs(sub2) > 0.0) then # if number 14 > rrr := (sub1/sub2); > sec_left := rrr * ms2 - ms2; > else > sec_left := 0.0; > fi;# end if 14 > fi;# end if 13 > ; > sec_left; > # End Function number 15 > end; comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec) local ms2, rrr, sec_left, sub1, sub2; global glob_small_float; ms2 := clock_sec; sub1 := t_end2 - t_start2; sub2 := t2 - t_start2; if sub1 = 0. then sec_left := 0. else if 0. < abs(sub2) then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2 else sec_left := 0. end if end if; sec_left end proc > > # Begin Function number 16 > 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 (abs(sub2) > glob_small_float) then # if number 13 > rrr := (100.0*sub2)/sub1; > else > rrr := 0.0; > fi;# end if 13 > ; > rrr > # End Function number 16 > 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 < abs(sub2) then rrr := 100.0*sub2/sub1 else rrr := 0. end if; rrr end proc > # Begin Function number 17 > factorial_1 := proc(nnn) > global glob_max_terms,array_fact_1; > local ret; > if (nnn <= glob_max_terms) then # if number 13 > if array_fact_1[nnn] = 0 then # if number 14 > ret := nnn!; > array_fact_1[nnn] := ret; > else > ret := array_fact_1[nnn]; > fi;# end if 14 > ; > else > ret := nnn!; > fi;# end if 13 > ; > ret; > # End Function number 17 > 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 := nnn!; array_fact_1[nnn] := ret else ret := array_fact_1[nnn] end if else ret := nnn! end if; ret end proc > # Begin Function number 18 > 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 13 > if array_fact_2[mmm,nnn] = 0 then # if number 14 > ret := factorial_1(mmm)/factorial_1(nnn); > array_fact_2[mmm,nnn] := ret; > else > ret := array_fact_2[mmm,nnn]; > fi;# end if 14 > ; > else > ret := (mmm!)/(nnn!); > fi;# end if 13 > ; > ret; > # End Function number 18 > 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 := mmm!/nnn! end if; ret end proc > # Begin Function number 19 > convfp := proc(mmm) > (mmm); > > # End Function number 19 > end; convfp := proc(mmm) mmm end proc > # Begin Function number 20 > convfloat := proc(mmm) > (mmm); > > # End Function number 20 > end; convfloat := proc(mmm) mmm end proc > elapsed_time_seconds := proc() > time(); > end; elapsed_time_seconds := proc() time() end proc > > > > #END ATS LIBRARY BLOCK > #BEGIN USER DEF BLOCK > #BEGIN USER DEF BLOCK > exact_soln_y1 := proc(x) > 2.0 - cos(x); > end; exact_soln_y1 := proc(x) 2.0 - cos(x) end proc > exact_soln_y2 := proc(x) > 2.0 - cos(x); > end; exact_soln_y2 := proc(x) 2.0 - cos(x) end proc > #END USER DEF BLOCK > #END USER DEF BLOCK > #END OUTFILE5 > # Begin Function number 2 > mainprog := proc() > #BEGIN OUTFIEMAIN > local d1,d2,d3,d4,est_err_2,niii,done_once, > term,ord,order_diff,term_no,html_log_file,iiif,jjjf, > rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter, > x_start,x_end > ,it, log10norm, max_terms, opt_iter, tmp; > #Top Generate Globals Definition > #Bottom Generate Globals Deninition > global > DEBUGL, > glob_max_terms, > glob_iolevel, > DEBUGMASSIVE, > INFO, > ALWAYS, > #Top Generate Globals Decl > glob_start, > glob_max_iter, > glob_relerr, > glob_dump_analytic, > glob_last_good_h, > min_in_hour, > glob_current_iter, > days_in_year, > glob_log10relerr, > glob_orig_start_sec, > glob_optimal_clock_start_sec, > hours_in_day, > glob_max_opt_iter, > glob_log10abserr, > glob_normmax, > glob_curr_iter_when_opt, > glob_small_float, > glob_optimal_start, > glob_no_eqs, > sec_in_min, > glob_iter, > glob_max_sec, > glob_warned, > glob_unchanged_h_cnt, > glob_hmin, > glob_disp_incr, > glob_reached_optimal_h, > glob_not_yet_finished, > glob_clock_sec, > glob_subiter_method, > glob_abserr, > glob_hmin_init, > glob_dump, > glob_optimal_expect_sec, > MAX_UNCHANGED, > glob_not_yet_start_msg, > centuries_in_millinium, > years_in_century, > glob_html_log, > glob_percent_done, > glob_max_rel_trunc_err, > glob_log10_relerr, > glob_optimal_done, > glob_initial_pass, > glob_large_float, > glob_hmax, > glob_almost_1, > glob_display_flag, > glob_smallish_float, > glob_look_poles, > glob_h, > glob_clock_start_sec, > djd_debug, > glob_log10normmin, > glob_max_minutes, > glob_warned2, > glob_max_trunc_err, > glob_max_hours, > glob_log10_abserr, > djd_debug2, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > #END CONST > array_m1, > array_tmp4_g, > array_type_pole, > array_norms, > array_y1_init, > array_pole, > array_x, > array_last_rel_error, > array_y2, > array_y1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_1st_rel_error, > array_fact_1, > array_y2_init, > array_y1_higher_work, > array_y2_set_initial, > array_y1_set_initial, > array_y1_higher_work2, > array_y2_higher_work2, > array_y2_higher, > array_y2_higher_work, > array_poles, > array_y1_higher, > array_complex_pole, > array_fact_2, > array_real_pole, > glob_last; > glob_last; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > glob_iolevel := INFO; > DEBUGL := 3; > glob_max_terms := 30; > glob_iolevel := 5; > DEBUGMASSIVE := 4; > INFO := 2; > ALWAYS := 1; > glob_start := 0; > glob_max_iter := 1000; > glob_relerr := 0.1e-10; > glob_dump_analytic := false; > glob_last_good_h := 0.1; > min_in_hour := 60.0; > glob_current_iter := 0; > days_in_year := 365.0; > glob_log10relerr := 0.0; > glob_orig_start_sec := 0.0; > glob_optimal_clock_start_sec := 0.0; > hours_in_day := 24.0; > glob_max_opt_iter := 10; > glob_log10abserr := 0.0; > glob_normmax := 0.0; > glob_curr_iter_when_opt := 0; > glob_small_float := 0.1e-50; > glob_optimal_start := 0.0; > glob_no_eqs := 0; > sec_in_min := 60.0; > glob_iter := 0; > glob_max_sec := 10000.0; > glob_warned := false; > glob_unchanged_h_cnt := 0; > glob_hmin := 0.00000000001; > glob_disp_incr := 0.1; > glob_reached_optimal_h := false; > glob_not_yet_finished := true; > glob_clock_sec := 0.0; > glob_subiter_method := 3; > glob_abserr := 0.1e-10; > glob_hmin_init := 0.001; > glob_dump := false; > glob_optimal_expect_sec := 0.1; > MAX_UNCHANGED := 10; > glob_not_yet_start_msg := true; > centuries_in_millinium := 10.0; > years_in_century := 100.0; > glob_html_log := true; > glob_percent_done := 0.0; > glob_max_rel_trunc_err := 0.1e-10; > glob_log10_relerr := 0.1e-10; > glob_optimal_done := false; > glob_initial_pass := true; > glob_large_float := 9.0e100; > glob_hmax := 1.0; > glob_almost_1 := 0.9990; > glob_display_flag := true; > glob_smallish_float := 0.1e-100; > glob_look_poles := false; > glob_h := 0.1; > glob_clock_start_sec := 0.0; > djd_debug := true; > glob_log10normmin := 0.1; > glob_max_minutes := 0.0; > glob_warned2 := false; > glob_max_trunc_err := 0.1e-10; > glob_max_hours := 0.0; > glob_log10_abserr := 0.1e-10; > djd_debug2 := true; > #Write Set Defaults > glob_orig_start_sec := elapsed_time_seconds(); > MAX_UNCHANGED := 10; > glob_curr_iter_when_opt := 0; > glob_display_flag := true; > glob_no_eqs := 2; > glob_iter := -1; > opt_iter := -1; > glob_max_iter := 50000; > glob_max_hours := 0.0; > glob_max_minutes := 15.0; > omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################"); > omniout_str(ALWAYS,"##############temp/mtest5postode.ode#################"); > omniout_str(ALWAYS,"diff ( y2 , x , 1 ) = diff ( y1, x , 1) ;"); > omniout_str(ALWAYS,"diff ( y1 , x , 1 ) = sin ( x ) ;"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"Digits := 32;"); > omniout_str(ALWAYS,"max_terms := 30;"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#END FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"x_start := 0.1;"); > omniout_str(ALWAYS,"x_end := 5.0;"); > omniout_str(ALWAYS,"array_y1_init[0 + 1] := exact_soln_y1(x_start);"); > omniout_str(ALWAYS,"array_y2_init[0 + 1] := exact_soln_y2(x_start);"); > omniout_str(ALWAYS,"glob_h := 0.00001 ;"); > omniout_str(ALWAYS,"glob_max_iter := 20;"); > omniout_str(ALWAYS,"#END SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK"); > omniout_str(ALWAYS,"glob_h := 0.001 ;"); > omniout_str(ALWAYS,"glob_look_poles := true;"); > omniout_str(ALWAYS,"glob_max_iter := 1000;"); > omniout_str(ALWAYS,"glob_max_minutes := 15;"); > omniout_str(ALWAYS,"#END OVERRIDE BLOCK"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK"); > omniout_str(ALWAYS,"exact_soln_y1 := proc(x)"); > omniout_str(ALWAYS,"2.0 - cos(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_y2 := proc(x)"); > omniout_str(ALWAYS,"2.0 - cos(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"#END USER DEF BLOCK"); > omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################"); > glob_unchanged_h_cnt := 0; > glob_warned := false; > glob_warned2 := false; > glob_small_float := 1.0e-200; > glob_smallish_float := 1.0e-64; > glob_large_float := 1.0e100; > glob_almost_1 := 0.99; > glob_log10_abserr := -8.0; > glob_log10_relerr := -8.0; > glob_hmax := 0.01; > #BEGIN FIRST INPUT BLOCK > #BEGIN FIRST INPUT BLOCK > Digits := 32; > max_terms := 30; > #END FIRST INPUT BLOCK > #START OF INITS AFTER INPUT BLOCK > glob_max_terms := max_terms; > glob_html_log := true; > #END OF INITS AFTER INPUT BLOCK > array_m1:= Array(0..(max_terms + 1),[]); > array_tmp4_g:= Array(0..(max_terms + 1),[]); > array_type_pole:= Array(0..(max_terms + 1),[]); > array_norms:= Array(0..(max_terms + 1),[]); > array_y1_init:= Array(0..(max_terms + 1),[]); > array_pole:= Array(0..(max_terms + 1),[]); > array_x:= Array(0..(max_terms + 1),[]); > array_last_rel_error:= Array(0..(max_terms + 1),[]); > array_y2:= Array(0..(max_terms + 1),[]); > array_y1:= Array(0..(max_terms + 1),[]); > array_tmp0:= Array(0..(max_terms + 1),[]); > array_tmp1:= Array(0..(max_terms + 1),[]); > array_tmp2:= Array(0..(max_terms + 1),[]); > array_tmp3:= Array(0..(max_terms + 1),[]); > array_tmp4:= Array(0..(max_terms + 1),[]); > array_1st_rel_error:= Array(0..(max_terms + 1),[]); > array_fact_1:= Array(0..(max_terms + 1),[]); > array_y2_init:= Array(0..(max_terms + 1),[]); > array_y1_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y2_set_initial := Array(0..(3+ 1) ,(0..max_terms+ 1),[]); > array_y1_set_initial := Array(0..(3+ 1) ,(0..max_terms+ 1),[]); > array_y1_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y2_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y2_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y2_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_poles := Array(0..(2+ 1) ,(0..3+ 1),[]); > array_y1_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_complex_pole := Array(0..(2+ 1) ,(0..3+ 1),[]); > array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]); > array_real_pole := Array(0..(2+ 1) ,(0..3+ 1),[]); > term := 1; > while term <= max_terms do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp4_g[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_type_pole[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_norms[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_y1_init[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_pole[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_last_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_y2[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_y1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_1st_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_fact_1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_y2_init[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y1_higher_work[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=3 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y2_set_initial[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=3 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y1_set_initial[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y1_higher_work2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y2_higher_work2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y2_higher[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y2_higher_work[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= 3 do # do number 3 > array_poles[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y1_higher[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= 3 do # do number 3 > array_complex_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=max_terms do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_fact_2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= 3 do # do number 3 > array_real_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > #BEGIN ARRAYS DEFINED AND INITIALIZATED > array_tmp4_g := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp4_g[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_x := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_y1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_y1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_y2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_y2[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp4 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp3 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_1[1] := 1; > array_const_0D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_0D0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_0D0[1] := 0.0; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_m1[1] := -1.0; > #END ARRAYS DEFINED AND INITIALIZATED > #Initing Factorial Tables > iiif := 0; > while iiif <= glob_max_terms do # do number 2 > jjjf := 0; > while jjjf <= glob_max_terms do # do number 3 > array_fact_1[iiif] := 0; > array_fact_2[iiif,jjjf] := 0; > jjjf := jjjf + 1; > od;# end do number 3 > ; > iiif := iiif + 1; > od;# end do number 2 > ; > #Done Initing Factorial Tables > #TOP SECOND INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > #END FIRST INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > x_start := 0.1; > x_end := 5.0; > array_y1_init[0 + 1] := exact_soln_y1(x_start); > array_y2_init[0 + 1] := exact_soln_y2(x_start); > glob_h := 0.00001 ; > glob_max_iter := 20; > #END SECOND INPUT BLOCK > #BEGIN OVERRIDE BLOCK > glob_h := 0.001 ; > glob_look_poles := true; > glob_max_iter := 1000; > glob_max_minutes := 15; > #END OVERRIDE BLOCK > #END SECOND INPUT BLOCK > #BEGIN INITS AFTER SECOND INPUT BLOCK > glob_last_good_h := glob_h; > glob_max_terms := max_terms; > glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours); > glob_abserr := 10.0 ^ (glob_log10_abserr); > glob_relerr := 10.0 ^ (glob_log10_relerr); > chk_data(); > #AFTER INITS AFTER SECOND INPUT BLOCK > array_y2_set_initial[1,1] := true; > array_y2_set_initial[1,2] := false; > array_y2_set_initial[1,3] := false; > array_y2_set_initial[1,4] := false; > array_y2_set_initial[1,5] := false; > array_y2_set_initial[1,6] := false; > array_y2_set_initial[1,7] := false; > array_y2_set_initial[1,8] := false; > array_y2_set_initial[1,9] := false; > array_y2_set_initial[1,10] := false; > array_y2_set_initial[1,11] := false; > array_y2_set_initial[1,12] := false; > array_y2_set_initial[1,13] := false; > array_y2_set_initial[1,14] := false; > array_y2_set_initial[1,15] := false; > array_y2_set_initial[1,16] := false; > array_y2_set_initial[1,17] := false; > array_y2_set_initial[1,18] := false; > array_y2_set_initial[1,19] := false; > array_y2_set_initial[1,20] := false; > array_y2_set_initial[1,21] := false; > array_y2_set_initial[1,22] := false; > array_y2_set_initial[1,23] := false; > array_y2_set_initial[1,24] := false; > array_y2_set_initial[1,25] := false; > array_y2_set_initial[1,26] := false; > array_y2_set_initial[1,27] := false; > array_y2_set_initial[1,28] := false; > array_y2_set_initial[1,29] := false; > array_y2_set_initial[1,30] := false; > array_y1_set_initial[2,1] := true; > array_y1_set_initial[2,2] := false; > array_y1_set_initial[2,3] := false; > array_y1_set_initial[2,4] := false; > array_y1_set_initial[2,5] := false; > array_y1_set_initial[2,6] := false; > array_y1_set_initial[2,7] := false; > array_y1_set_initial[2,8] := false; > array_y1_set_initial[2,9] := false; > array_y1_set_initial[2,10] := false; > array_y1_set_initial[2,11] := false; > array_y1_set_initial[2,12] := false; > array_y1_set_initial[2,13] := false; > array_y1_set_initial[2,14] := false; > array_y1_set_initial[2,15] := false; > array_y1_set_initial[2,16] := false; > array_y1_set_initial[2,17] := false; > array_y1_set_initial[2,18] := false; > array_y1_set_initial[2,19] := false; > array_y1_set_initial[2,20] := false; > array_y1_set_initial[2,21] := false; > array_y1_set_initial[2,22] := false; > array_y1_set_initial[2,23] := false; > array_y1_set_initial[2,24] := false; > array_y1_set_initial[2,25] := false; > array_y1_set_initial[2,26] := false; > array_y1_set_initial[2,27] := false; > array_y1_set_initial[2,28] := false; > array_y1_set_initial[2,29] := false; > array_y1_set_initial[2,30] := false; > if glob_html_log then # if number 3 > html_log_file := fopen("html/entry.html",WRITE,TEXT); > fi;# end if 3 > ; > #BEGIN SOLUTION CODE > omniout_str(ALWAYS,"START of Soultion"); > #Start Series -- INITIALIZE FOR SOLUTION > array_x[1] := x_start; > array_x[2] := glob_h; > order_diff := 1; > #Start Series array_y2 > term_no := 1; > while (term_no <= order_diff) do # do number 2 > array_y2[term_no] := array_y2_init[term_no] * glob_h ^ (term_no - 1) / factorial_1(term_no - 1); > term_no := term_no + 1; > od;# end do number 2 > ; > rows := order_diff; > r_order := 1; > while (r_order <= rows) do # do number 2 > term_no := 1; > while (term_no <= (rows - r_order + 1)) do # do number 3 > it := term_no + r_order - 1; > array_y2_higher[r_order,term_no] := array_y2_init[it]* (glob_h ^ (term_no - 1)) / ((factorial_1(term_no - 1))); > term_no := term_no + 1; > od;# end do number 3 > ; > r_order := r_order + 1; > od;# end do number 2 > ; > order_diff := 1; > #Start Series array_y1 > term_no := 1; > while (term_no <= order_diff) do # do number 2 > array_y1[term_no] := array_y1_init[term_no] * glob_h ^ (term_no - 1) / factorial_1(term_no - 1); > term_no := term_no + 1; > od;# end do number 2 > ; > rows := order_diff; > r_order := 1; > while (r_order <= rows) do # do number 2 > term_no := 1; > while (term_no <= (rows - r_order + 1)) do # do number 3 > it := term_no + r_order - 1; > array_y1_higher[r_order,term_no] := array_y1_init[it]* (glob_h ^ (term_no - 1)) / ((factorial_1(term_no - 1))); > term_no := term_no + 1; > od;# end do number 3 > ; > r_order := r_order + 1; > od;# end do number 2 > ; > current_iter := 1; > glob_clock_start_sec := elapsed_time_seconds(); > start_array_y2(); > if (abs(array_y2_higher[1,1]) > glob_small_float) then # if number 3 > tmp := abs(array_y2_higher[1,1]); > log10norm := (log10(tmp)); > if (log10norm < glob_log10normmin) then # if number 4 > glob_log10normmin := log10norm; > fi;# end if 4 > fi;# end if 3 > ; > display_alot(current_iter) > ; > start_array_y1(); > if (abs(array_y1_higher[1,1]) > glob_small_float) then # if number 3 > tmp := abs(array_y1_higher[1,1]); > log10norm := (log10(tmp)); > if (log10norm < glob_log10normmin) then # if number 4 > glob_log10normmin := log10norm; > fi;# end if 4 > fi;# end if 3 > ; > display_alot(current_iter) > ; > glob_clock_sec := elapsed_time_seconds(); > glob_current_iter := 0; > glob_iter := 0; > omniout_str(DEBUGL," "); > glob_reached_optimal_h := true; > glob_optimal_clock_start_sec := elapsed_time_seconds(); > while ((glob_current_iter < glob_max_iter) and (array_x[1] <= x_end ) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2 > #left paren 0001C > omniout_str(INFO," "); > omniout_str(INFO,"TOP MAIN SOLVE Loop"); > glob_iter := glob_iter + 1; > glob_clock_sec := elapsed_time_seconds(); > glob_current_iter := glob_current_iter + 1; > if glob_subiter_method = 1 then # if number 3 > atomall(); > elif glob_subiter_method = 2 then # if number 4 > subiter := 1; > while subiter <= 2 do # do number 3 > atomall(); > subiter := subiter + 1; > od;# end do number 3 > ; > else > subiter := 1; > while subiter <= 2 + glob_max_terms do # do number 3 > atomall(); > subiter := subiter + 1; > od;# end do number 3 > ; > fi;# end if 4 > ; > if (glob_look_poles) then # if number 4 > #left paren 0004C > check_for_pole(); > fi;# end if 4 > ;#was right paren 0004C > array_x[1] := array_x[1] + glob_h; > array_x[2] := glob_h; > #Jump Series array_y2 > order_diff := 1; > #START PART 1 SUM AND ADJUST > #START SUM AND ADJUST EQ =1 > #sum_and_adjust array_y2 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 2; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[2,iii] := array_y2_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 2; > calc_term := 1; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 2; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[1,iii] := array_y2_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 2; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[1,iii] := array_y2_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 1; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #END SUM AND ADJUST EQ =1 > #END PART 1 > #START PART 2 MOVE TERMS to REGULAR Array > term_no := glob_max_terms; > while (term_no >= 1) do # do number 3 > array_y2[term_no] := array_y2_higher_work2[1,term_no]; > ord := 1; > while ord <= order_diff do # do number 4 > array_y2_higher[ord,term_no] := array_y2_higher_work2[ord,term_no]; > ord := ord + 1; > od;# end do number 4 > ; > term_no := term_no - 1; > od;# end do number 3 > ; > #END PART 2 HEVE MOVED TERMS to REGULAR Array > #Jump Series array_y1 > order_diff := 1; > #START PART 1 SUM AND ADJUST > #START SUM AND ADJUST EQ =2 > #sum_and_adjust array_y1 > #BEFORE ADJUST SUBSERIES EQ =2 > ord := 2; > calc_term := 1; > #adjust_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y1_higher_work[2,iii] := array_y1_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =2 > #BEFORE SUM SUBSERIES EQ =2 > temp_sum := 0.0; > ord := 2; > calc_term := 1; > #sum_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y1_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y1_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =2 > #BEFORE ADJUST SUBSERIES EQ =2 > ord := 1; > calc_term := 2; > #adjust_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y1_higher_work[1,iii] := array_y1_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =2 > #BEFORE SUM SUBSERIES EQ =2 > temp_sum := 0.0; > ord := 1; > calc_term := 2; > #sum_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y1_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y1_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =2 > #BEFORE ADJUST SUBSERIES EQ =2 > ord := 1; > calc_term := 1; > #adjust_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y1_higher_work[1,iii] := array_y1_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =2 > #BEFORE SUM SUBSERIES EQ =2 > temp_sum := 0.0; > ord := 1; > calc_term := 1; > #sum_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y1_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y1_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =2 > #END SUM AND ADJUST EQ =2 > #END PART 1 > #START PART 2 MOVE TERMS to REGULAR Array > term_no := glob_max_terms; > while (term_no >= 1) do # do number 3 > array_y1[term_no] := array_y1_higher_work2[1,term_no]; > ord := 1; > while ord <= order_diff do # do number 4 > array_y1_higher[ord,term_no] := array_y1_higher_work2[ord,term_no]; > ord := ord + 1; > od;# end do number 4 > ; > term_no := term_no - 1; > od;# end do number 3 > ; > #END PART 2 HEVE MOVED TERMS to REGULAR Array > display_alot(current_iter) > ; > od;# end do number 2 > ;#right paren 0001C > omniout_str(ALWAYS,"Finished!"); > if (glob_iter >= glob_max_iter) then # if number 4 > omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!") > fi;# end if 4 > ; > if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 4 > omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!") > fi;# end if 4 > ; > glob_clock_sec := elapsed_time_seconds(); > omniout_str(INFO,"diff ( y2 , x , 1 ) = diff ( y1, x , 1) ;"); > omniout_str(INFO,"diff ( y1 , x , 1 ) = sin ( x ) ;"); > omniout_int(INFO,"Iterations ",32,glob_iter,4," ") > ; > prog_report(x_start,x_end); > if glob_html_log then # if number 4 > logstart(html_log_file); > logitem_str(html_log_file,"2012-06-17T22:21:29-05:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"mtest5") > ; > logitem_str(html_log_file,"diff ( y2 , x , 1 ) = diff ( y1, x , 1) ;") > ; > 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_integer(html_log_file,glob_max_terms) > ; > logitem_float(html_log_file,array_1st_rel_error[1]) > ; > logitem_float(html_log_file,array_last_rel_error[1]) > ; > logitem_integer(html_log_file,glob_iter) > ; > logitem_pole(html_log_file,array_type_pole[1]) > ; > if array_type_pole[1] = 1 or array_type_pole[1] = 2 then # if number 5 > logitem_float(html_log_file,array_pole[1]) > ; > logitem_float(html_log_file,array_pole[2]) > ; > 0; > else > logitem_str(html_log_file,"NA") > ; > logitem_str(html_log_file,"NA") > ; > 0; > fi;# end if 5 > ; > logitem_time(html_log_file,convfloat(glob_clock_sec)) > ; > if glob_percent_done < 100.0 then # if number 5 > logitem_time(html_log_file,convfloat(glob_optimal_expect_sec)) > ; > 0 > else > logitem_str(html_log_file,"Done") > ; > 0 > fi;# end if 5 > ; > log_revs(html_log_file," 092 ") > ; > logitem_str(html_log_file,"mtest5 diffeq.mxt") > ; > logitem_str(html_log_file,"mtest5 maple results") > ; > logitem_str(html_log_file,"Mostly affecting speed of factorials") > ; > logend(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logitem_str(html_log_file,"diff ( y1 , x , 1 ) = sin ( x ) ;") > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > ; > logditto(html_log_file) > ; > logitem_float(html_log_file,array_1st_rel_error[2]) > ; > logitem_float(html_log_file,array_last_rel_error[2]) > ; > logditto(html_log_file) > ; > logitem_pole(html_log_file,array_type_pole[2]) > ; > if array_type_pole[2] = 1 or array_type_pole[2] = 2 then # if number 5 > logitem_float(html_log_file,array_pole[1]) > ; > logitem_float(html_log_file,array_pole[2]) > ; > 0; > else > logitem_str(html_log_file,"NA") > ; > logitem_str(html_log_file,"NA") > ; > 0; > fi;# end if 5 > ; > logditto(html_log_file) > ; > if glob_percent_done < 100.0 then # if number 5 > logditto(html_log_file) > ; > 0 > else > logditto(html_log_file) > ; > 0 > fi;# end if 5 > ; > logditto(html_log_file); > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logend(html_log_file) > ; > ; > fi;# end if 4 > ; > if glob_html_log then # if number 4 > fclose(html_log_file); > fi;# end if 4 > ; > ;; > #END OUTFILEMAIN > # End Function number 8 > end; Warning, `subiter` is implicitly declared local to procedure `mainprog` mainprog := proc() local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff, term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter, calc_term, iii, temp_sum, current_iter, x_start, x_end, it, log10norm, max_terms, opt_iter, tmp, subiter; global DEBUGL, glob_max_terms, glob_iolevel, DEBUGMASSIVE, INFO, ALWAYS, glob_start, glob_max_iter, glob_relerr, glob_dump_analytic, glob_last_good_h, min_in_hour, glob_current_iter, days_in_year, glob_log10relerr, glob_orig_start_sec, glob_optimal_clock_start_sec, hours_in_day, glob_max_opt_iter, glob_log10abserr, glob_normmax, glob_curr_iter_when_opt, glob_small_float, glob_optimal_start, glob_no_eqs, sec_in_min, glob_iter, glob_max_sec, glob_warned, glob_unchanged_h_cnt, glob_hmin, glob_disp_incr, glob_reached_optimal_h, glob_not_yet_finished, glob_clock_sec, glob_subiter_method, glob_abserr, glob_hmin_init, glob_dump, glob_optimal_expect_sec, MAX_UNCHANGED, glob_not_yet_start_msg, centuries_in_millinium, years_in_century, glob_html_log, glob_percent_done, glob_max_rel_trunc_err, glob_log10_relerr, glob_optimal_done, glob_initial_pass, glob_large_float, glob_hmax, glob_almost_1, glob_display_flag, glob_smallish_float, glob_look_poles, glob_h, glob_clock_start_sec, djd_debug, glob_log10normmin, glob_max_minutes, glob_warned2, glob_max_trunc_err, glob_max_hours, glob_log10_abserr, djd_debug2, array_const_1, array_const_0D0, array_m1, array_tmp4_g, array_type_pole, array_norms, array_y1_init, array_pole, array_x, array_last_rel_error, array_y2, array_y1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_1st_rel_error, array_fact_1, array_y2_init, array_y1_higher_work, array_y2_set_initial, array_y1_set_initial, array_y1_higher_work2, array_y2_higher_work2, array_y2_higher, array_y2_higher_work, array_poles, array_y1_higher, array_complex_pole, array_fact_2, array_real_pole, glob_last; glob_last; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; glob_iolevel := INFO; DEBUGL := 3; glob_max_terms := 30; glob_iolevel := 5; DEBUGMASSIVE := 4; INFO := 2; ALWAYS := 1; glob_start := 0; glob_max_iter := 1000; glob_relerr := 0.1*10^(-10); glob_dump_analytic := false; glob_last_good_h := 0.1; min_in_hour := 60.0; glob_current_iter := 0; days_in_year := 365.0; glob_log10relerr := 0.; glob_orig_start_sec := 0.; glob_optimal_clock_start_sec := 0.; hours_in_day := 24.0; glob_max_opt_iter := 10; glob_log10abserr := 0.; glob_normmax := 0.; glob_curr_iter_when_opt := 0; glob_small_float := 0.1*10^(-50); glob_optimal_start := 0.; glob_no_eqs := 0; sec_in_min := 60.0; glob_iter := 0; glob_max_sec := 10000.0; glob_warned := false; glob_unchanged_h_cnt := 0; glob_hmin := 0.1*10^(-10); glob_disp_incr := 0.1; glob_reached_optimal_h := false; glob_not_yet_finished := true; glob_clock_sec := 0.; glob_subiter_method := 3; glob_abserr := 0.1*10^(-10); glob_hmin_init := 0.001; glob_dump := false; glob_optimal_expect_sec := 0.1; MAX_UNCHANGED := 10; glob_not_yet_start_msg := true; centuries_in_millinium := 10.0; years_in_century := 100.0; glob_html_log := true; glob_percent_done := 0.; glob_max_rel_trunc_err := 0.1*10^(-10); glob_log10_relerr := 0.1*10^(-10); glob_optimal_done := false; glob_initial_pass := true; glob_large_float := 0.90*10^101; glob_hmax := 1.0; glob_almost_1 := 0.9990; glob_display_flag := true; glob_smallish_float := 0.1*10^(-100); glob_look_poles := false; glob_h := 0.1; glob_clock_start_sec := 0.; djd_debug := true; glob_log10normmin := 0.1; glob_max_minutes := 0.; glob_warned2 := false; glob_max_trunc_err := 0.1*10^(-10); glob_max_hours := 0.; glob_log10_abserr := 0.1*10^(-10); djd_debug2 := true; glob_orig_start_sec := elapsed_time_seconds(); MAX_UNCHANGED := 10; glob_curr_iter_when_opt := 0; glob_display_flag := true; glob_no_eqs := 2; glob_iter := -1; opt_iter := -1; glob_max_iter := 50000; glob_max_hours := 0.; glob_max_minutes := 15.0; omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"); omniout_str(ALWAYS, "##############temp/mtest5postode.ode#################"); omniout_str(ALWAYS, "diff ( y2 , x , 1 ) = diff ( y1, x , 1) ;"); omniout_str(ALWAYS, "diff ( y1 , x , 1 ) = sin ( x ) ;"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK"); omniout_str(ALWAYS, "Digits := 32;"); omniout_str(ALWAYS, "max_terms := 30;"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#END FIRST INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK"); omniout_str(ALWAYS, "x_start := 0.1;"); omniout_str(ALWAYS, "x_end := 5.0;"); omniout_str(ALWAYS, "array_y1_init[0 + 1] := exact_soln_y1(x_start);"); omniout_str(ALWAYS, "array_y2_init[0 + 1] := exact_soln_y2(x_start);"); omniout_str(ALWAYS, "glob_h := 0.00001 ;"); omniout_str(ALWAYS, "glob_max_iter := 20;"); omniout_str(ALWAYS, "#END SECOND INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK"); omniout_str(ALWAYS, "glob_h := 0.001 ;"); omniout_str(ALWAYS, "glob_look_poles := true;"); omniout_str(ALWAYS, "glob_max_iter := 1000;"); omniout_str(ALWAYS, "glob_max_minutes := 15;"); omniout_str(ALWAYS, "#END OVERRIDE BLOCK"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK"); omniout_str(ALWAYS, "exact_soln_y1 := proc(x)"); omniout_str(ALWAYS, "2.0 - cos(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_y2 := proc(x)"); omniout_str(ALWAYS, "2.0 - cos(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "#END USER DEF BLOCK"); omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"); glob_unchanged_h_cnt := 0; glob_warned := false; glob_warned2 := false; glob_small_float := 0.10*10^(-199); glob_smallish_float := 0.10*10^(-63); glob_large_float := 0.10*10^101; glob_almost_1 := 0.99; glob_log10_abserr := -8.0; glob_log10_relerr := -8.0; glob_hmax := 0.01; Digits := 32; max_terms := 30; glob_max_terms := max_terms; glob_html_log := true; array_m1 := Array(0 .. max_terms + 1, []); array_tmp4_g := Array(0 .. max_terms + 1, []); array_type_pole := Array(0 .. max_terms + 1, []); array_norms := Array(0 .. max_terms + 1, []); array_y1_init := Array(0 .. max_terms + 1, []); array_pole := Array(0 .. max_terms + 1, []); array_x := Array(0 .. max_terms + 1, []); array_last_rel_error := Array(0 .. max_terms + 1, []); array_y2 := Array(0 .. max_terms + 1, []); array_y1 := Array(0 .. max_terms + 1, []); array_tmp0 := Array(0 .. max_terms + 1, []); array_tmp1 := Array(0 .. max_terms + 1, []); array_tmp2 := Array(0 .. max_terms + 1, []); array_tmp3 := Array(0 .. max_terms + 1, []); array_tmp4 := Array(0 .. max_terms + 1, []); array_1st_rel_error := Array(0 .. max_terms + 1, []); array_fact_1 := Array(0 .. max_terms + 1, []); array_y2_init := Array(0 .. max_terms + 1, []); array_y1_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []); array_y2_set_initial := Array(0 .. 4, 0 .. max_terms + 1, []); array_y1_set_initial := Array(0 .. 4, 0 .. max_terms + 1, []); array_y1_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []); array_y2_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []); array_y2_higher := Array(0 .. 3, 0 .. max_terms + 1, []); array_y2_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []); array_poles := Array(0 .. 3, 0 .. 4, []); array_y1_higher := Array(0 .. 3, 0 .. max_terms + 1, []); array_complex_pole := Array(0 .. 3, 0 .. 4, []); array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []); array_real_pole := Array(0 .. 3, 0 .. 4, []); term := 1; while term <= max_terms do array_m1[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_type_pole[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_y1_init[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_x[term] := 0.; term := term + 1 end do ; term := 1; while term <= max_terms do array_last_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y2[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp0[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp2[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp3[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp4[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_1st_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_fact_1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y2_init[term] := 0.; term := term + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y1_higher_work[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 3 do term := 1; while term <= max_terms do array_y2_set_initial[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 3 do term := 1; while term <= max_terms do array_y1_set_initial[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y1_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_y2_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_y2_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_y2_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 <= 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 <= max_terms do array_y1_higher[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= 3 do array_complex_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= max_terms do term := 1; while term <= max_terms do array_fact_2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= 3 do array_real_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; 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_x := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1 end do; array_y1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_y1[term] := 0.; term := term + 1 end do; array_y2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_y2[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_tmp3 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp3[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_tmp1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp1[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_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_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; array_m1[1] := -1.0; iiif := 0; while iiif <= glob_max_terms do jjjf := 0; while jjjf <= glob_max_terms do array_fact_1[iiif] := 0; array_fact_2[iiif, jjjf] := 0; jjjf := jjjf + 1 end do; iiif := iiif + 1 end do; x_start := 0.1; x_end := 5.0; array_y1_init[1] := exact_soln_y1(x_start); array_y2_init[1] := exact_soln_y2(x_start); glob_h := 0.00001; glob_max_iter := 20; glob_h := 0.001; glob_look_poles := true; glob_max_iter := 1000; glob_max_minutes := 15; glob_last_good_h := glob_h; glob_max_terms := max_terms; glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes) + convfloat(3600.0)*convfloat(glob_max_hours); glob_abserr := 10.0^glob_log10_abserr; glob_relerr := 10.0^glob_log10_relerr; chk_data(); array_y2_set_initial[1, 1] := true; array_y2_set_initial[1, 2] := false; array_y2_set_initial[1, 3] := false; array_y2_set_initial[1, 4] := false; array_y2_set_initial[1, 5] := false; array_y2_set_initial[1, 6] := false; array_y2_set_initial[1, 7] := false; array_y2_set_initial[1, 8] := false; array_y2_set_initial[1, 9] := false; array_y2_set_initial[1, 10] := false; array_y2_set_initial[1, 11] := false; array_y2_set_initial[1, 12] := false; array_y2_set_initial[1, 13] := false; array_y2_set_initial[1, 14] := false; array_y2_set_initial[1, 15] := false; array_y2_set_initial[1, 16] := false; array_y2_set_initial[1, 17] := false; array_y2_set_initial[1, 18] := false; array_y2_set_initial[1, 19] := false; array_y2_set_initial[1, 20] := false; array_y2_set_initial[1, 21] := false; array_y2_set_initial[1, 22] := false; array_y2_set_initial[1, 23] := false; array_y2_set_initial[1, 24] := false; array_y2_set_initial[1, 25] := false; array_y2_set_initial[1, 26] := false; array_y2_set_initial[1, 27] := false; array_y2_set_initial[1, 28] := false; array_y2_set_initial[1, 29] := false; array_y2_set_initial[1, 30] := false; array_y1_set_initial[2, 1] := true; array_y1_set_initial[2, 2] := false; array_y1_set_initial[2, 3] := false; array_y1_set_initial[2, 4] := false; array_y1_set_initial[2, 5] := false; array_y1_set_initial[2, 6] := false; array_y1_set_initial[2, 7] := false; array_y1_set_initial[2, 8] := false; array_y1_set_initial[2, 9] := false; array_y1_set_initial[2, 10] := false; array_y1_set_initial[2, 11] := false; array_y1_set_initial[2, 12] := false; array_y1_set_initial[2, 13] := false; array_y1_set_initial[2, 14] := false; array_y1_set_initial[2, 15] := false; array_y1_set_initial[2, 16] := false; array_y1_set_initial[2, 17] := false; array_y1_set_initial[2, 18] := false; array_y1_set_initial[2, 19] := false; array_y1_set_initial[2, 20] := false; array_y1_set_initial[2, 21] := false; array_y1_set_initial[2, 22] := false; array_y1_set_initial[2, 23] := false; array_y1_set_initial[2, 24] := false; array_y1_set_initial[2, 25] := false; array_y1_set_initial[2, 26] := false; array_y1_set_initial[2, 27] := false; array_y1_set_initial[2, 28] := false; array_y1_set_initial[2, 29] := false; array_y1_set_initial[2, 30] := false; if glob_html_log then html_log_file := fopen("html/entry.html", WRITE, TEXT) end if; omniout_str(ALWAYS, "START of Soultion"); array_x[1] := x_start; array_x[2] := glob_h; order_diff := 1; term_no := 1; while term_no <= order_diff do array_y2[term_no] := array_y2_init[term_no]*glob_h^(term_no - 1)/ factorial_1(term_no - 1); term_no := term_no + 1 end do; rows := order_diff; r_order := 1; while r_order <= rows do term_no := 1; while term_no <= rows - r_order + 1 do it := term_no + r_order - 1; array_y2_higher[r_order, term_no] := array_y2_init[it]* glob_h^(term_no - 1)/factorial_1(term_no - 1); term_no := term_no + 1 end do; r_order := r_order + 1 end do; order_diff := 1; term_no := 1; while term_no <= order_diff do array_y1[term_no] := array_y1_init[term_no]*glob_h^(term_no - 1)/ factorial_1(term_no - 1); term_no := term_no + 1 end do; rows := order_diff; r_order := 1; while r_order <= rows do term_no := 1; while term_no <= rows - r_order + 1 do it := term_no + r_order - 1; array_y1_higher[r_order, term_no] := array_y1_init[it]* 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(); start_array_y2(); if glob_small_float < abs(array_y2_higher[1, 1]) then tmp := abs(array_y2_higher[1, 1]); log10norm := log10(tmp); if log10norm < glob_log10normmin then glob_log10normmin := log10norm end if end if; display_alot(current_iter); start_array_y1(); if glob_small_float < abs(array_y1_higher[1, 1]) then tmp := abs(array_y1_higher[1, 1]); log10norm := log10(tmp); if log10norm < glob_log10normmin then glob_log10normmin := log10norm end if end if; display_alot(current_iter); glob_clock_sec := elapsed_time_seconds(); glob_current_iter := 0; glob_iter := 0; omniout_str(DEBUGL, " "); glob_reached_optimal_h := true; glob_optimal_clock_start_sec := elapsed_time_seconds(); while glob_current_iter < glob_max_iter and array_x[1] <= x_end and convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < convfloat(glob_max_sec) do omniout_str(INFO, " "); omniout_str(INFO, "TOP MAIN SOLVE Loop"); glob_iter := glob_iter + 1; glob_clock_sec := elapsed_time_seconds(); glob_current_iter := glob_current_iter + 1; if glob_subiter_method = 1 then atomall() elif glob_subiter_method = 2 then subiter := 1; while subiter <= 2 do atomall(); subiter := subiter + 1 end do else subiter := 1; while subiter <= 2 + glob_max_terms do atomall(); subiter := subiter + 1 end do end if; if glob_look_poles then check_for_pole() end if; array_x[1] := array_x[1] + glob_h; array_x[2] := glob_h; order_diff := 1; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[2, iii] := array_y2_higher[2, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[1, iii] := array_y2_higher[1, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[1, iii] := array_y2_higher[1, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; term_no := glob_max_terms; while 1 <= term_no do array_y2[term_no] := array_y2_higher_work2[1, term_no]; ord := 1; while ord <= order_diff do array_y2_higher[ord, term_no] := array_y2_higher_work2[ord, term_no]; ord := ord + 1 end do; term_no := term_no - 1 end do; order_diff := 1; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y1_higher_work[2, iii] := array_y1_higher[2, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y1_higher_work[ord, iii]; iii := iii - 1 end do; array_y1_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y1_higher_work[1, iii] := array_y1_higher[1, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y1_higher_work[ord, iii]; iii := iii - 1 end do; array_y1_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y1_higher_work[1, iii] := array_y1_higher[1, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y1_higher_work[ord, iii]; iii := iii - 1 end do; array_y1_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!; term_no := glob_max_terms; while 1 <= term_no do array_y1[term_no] := array_y1_higher_work2[1, term_no]; ord := 1; while ord <= order_diff do array_y1_higher[ord, term_no] := array_y1_higher_work2[ord, term_no]; ord := ord + 1 end do; term_no := term_no - 1 end do; display_alot(current_iter) end do; omniout_str(ALWAYS, "Finished!"); if glob_max_iter <= glob_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!") end if; if convfloat(glob_max_sec) <= elapsed_time_seconds() - convfloat(glob_orig_start_sec) then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!") end if; glob_clock_sec := elapsed_time_seconds(); omniout_str(INFO, "diff ( y2 , x , 1 ) = diff ( y1, x , 1) ;"); omniout_str(INFO, "diff ( y1 , x , 1 ) = sin ( x ) ;"); omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "); prog_report(x_start, x_end); if glob_html_log then logstart(html_log_file); logitem_str(html_log_file, "2012-06-17T22:21:29-05:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "mtest5") ; logitem_str(html_log_file, "diff ( y2 , x , 1 ) = diff ( y1, x , 1) ;"); 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_integer(html_log_file, glob_max_terms); logitem_float(html_log_file, array_1st_rel_error[1]); logitem_float(html_log_file, array_last_rel_error[1]); logitem_integer(html_log_file, glob_iter); logitem_pole(html_log_file, array_type_pole[1]); if array_type_pole[1] = 1 or array_type_pole[1] = 2 then logitem_float(html_log_file, array_pole[1]); logitem_float(html_log_file, array_pole[2]); 0 else logitem_str(html_log_file, "NA"); logitem_str(html_log_file, "NA"); 0 end if; logitem_time(html_log_file, convfloat(glob_clock_sec)); if glob_percent_done < 100.0 then logitem_time(html_log_file, convfloat(glob_optimal_expect_sec)) ; 0 else logitem_str(html_log_file, "Done"); 0 end if; log_revs(html_log_file, " 092 "); logitem_str(html_log_file, "mtest5 diffeq.mxt"); logitem_str(html_log_file, "mtest5 maple results"); logitem_str(html_log_file, "Mostly affecting speed of factorials"); logend(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logitem_str(html_log_file, "diff ( y1 , x , 1 ) = sin ( x ) ;"); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logitem_float(html_log_file, array_1st_rel_error[2]); logitem_float(html_log_file, array_last_rel_error[2]); logditto(html_log_file); logitem_pole(html_log_file, array_type_pole[2]); if array_type_pole[2] = 1 or array_type_pole[2] = 2 then logitem_float(html_log_file, array_pole[1]); logitem_float(html_log_file, array_pole[2]); 0 else logitem_str(html_log_file, "NA"); logitem_str(html_log_file, "NA"); 0 end if; logditto(html_log_file); if glob_percent_done < 100.0 then logditto(html_log_file); 0 else logditto(html_log_file); 0 end if; logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logend(html_log_file) end if; if glob_html_log then fclose(html_log_file) end if end proc > mainprog(); ##############ECHO OF PROBLEM################# ##############temp/mtest5postode.ode################# diff ( y2 , x , 1 ) = diff ( y1, x , 1) ; diff ( y1 , x , 1 ) = sin ( x ) ; ! #BEGIN FIRST INPUT BLOCK Digits := 32; max_terms := 30; ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start := 0.1; x_end := 5.0; array_y1_init[0 + 1] := exact_soln_y1(x_start); array_y2_init[0 + 1] := exact_soln_y2(x_start); glob_h := 0.00001 ; glob_max_iter := 20; #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK glob_h := 0.001 ; glob_look_poles := true; glob_max_iter := 1000; glob_max_minutes := 15; #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK exact_soln_y1 := proc(x) 2.0 - cos(x); end; exact_soln_y2 := proc(x) 2.0 - cos(x); end; #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y2[1] (analytic) = 1.0049958347219742339044380121961 y2[1] (numeric) = 1.0049958347219742339044380121961 absolute error = 0 relative error = 0 % h = 0.001 y1[1] (analytic) = 1.0049958347219742339044380121961 y1[1] (numeric) = 1.0049958347219742339044380121961 absolute error = 0 relative error = 0 % h = 0.001 x[1] = 0.1 y2[1] (analytic) = 1.0049958347219742339044380121961 y2[1] (numeric) = 1.0049958347219742339044380121961 absolute error = 0 relative error = 0 % h = 0.001 y1[1] (analytic) = 1.0049958347219742339044380121961 y1[1] (numeric) = 1.0049958347219742339044380121961 absolute error = 0 relative error = 0 % h = 0.001 TOP MAIN SOLVE Loop memory used=3.8MB, alloc=3.1MB, time=0.20 NO POLE NO POLE x[1] = 0.101 y2[1] (analytic) = 1.005096165624023340621597000171 y2[1] (numeric) = 1.0051959990462371990486107646414 absolute error = 9.98334222138584270137644704e-05 relative error = 0.0099327234177513665597966667296844 % h = 0.001 y1[1] (analytic) = 1.005096165624023340621597000171 y1[1] (numeric) = 1.0050961656240233406699643058562 absolute error = 4.83673056852e-20 relative error = 4.8122067658243135951359049184283e-18 % h = 0.001 TOP MAIN SOLVE Loop memory used=7.6MB, alloc=4.1MB, time=0.46 NO POLE NO POLE x[1] = 0.102 y2[1] (analytic) = 1.0051974914298239146653143235401 y2[1] (numeric) = 1.0053981532283896444937215797049 absolute error = 0.0002006617985657298284072561648 relative error = 0.019962425322043163598177968319197 % h = 0.001 y1[1] (analytic) = 1.0051974914298239146653143235401 y1[1] (numeric) = 1.0051974914298239147620440482383 absolute error = 9.67297246982e-20 relative error = 9.6229572320767191925391374928029e-18 % h = 0.001 TOP MAIN SOLVE Loop memory used=11.4MB, alloc=4.1MB, time=0.71 NO POLE NO POLE x[1] = 0.103 y2[1] (analytic) = 1.0052998120380501586788328071734 y2[1] (numeric) = 1.0056022970662774049335062967736 absolute error = 0.0003024850282272462546734896002 relative error = 0.030089036584421178476076874737039 % h = 0.001 y1[1] (analytic) = 1.0052998120380501586788328071734 y1[1] (numeric) = 1.0052998120380501588239200158499 absolute error = 1.450872086765e-19 relative error = 1.4432232746802554115959902071276e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=15.2MB, alloc=4.1MB, time=0.97 NO POLE NO POLE x[1] = 0.104 y2[1] (analytic) = 1.0054031273463814729626255055154 y2[1] (numeric) = 1.0058084303557566594921903996433 absolute error = 0.0004053030093751865295648941279 relative error = 0.040312487434261932806006115272507 % h = 0.001 y1[1] (analytic) = 1.0054031273463814729626255055154 y1[1] (numeric) = 1.0054031273463814731560652147781 absolute error = 1.934397092627e-19 relative error = 1.9240014676824866665069432933987e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=19.0MB, alloc=4.2MB, time=1.23 NO POLE NO POLE x[1] = 0.105 y2[1] (analytic) = 1.0055074372515025577949868753959 y2[1] (numeric) = 1.0060165528906941358682928803086 absolute error = 0.0005091156391915780733060049127 relative error = 0.050632707459948455753031035675465 % h = 0.001 y1[1] (analytic) = 1.0055074372515025577949868753959 y1[1] (numeric) = 1.0055074372515025580367740535003 absolute error = 2.417871781044e-19 relative error = 2.4046284407931532749010893617440e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=22.8MB, alloc=4.2MB, time=1.49 NO POLE NO POLE x[1] = 0.106 y2[1] (analytic) = 1.0056127416491035167473238881278 y2[1] (numeric) = 1.006226664462967316467881362672 absolute error = 0.0006139228138637997205574745442 relative error = 0.061049625610056232746311698935605 % h = 0.001 y1[1] (analytic) = 1.0056127416491035167473238881278 y1[1] (numeric) = 1.0056127416491035170374534549817 absolute error = 2.901295668539e-19 relative error = 2.8851023345042024765847792310386e-17 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.107 y2[1] (analytic) = 1.0057190404338799609940437656082 y2[1] (numeric) = 1.0064387648624646465270723529334 absolute error = 0.0007197244285846855330285873252 relative error = 0.071563170194549292623750635206557 % h = 0.001 y1[1] (analytic) = 1.0057190404338799609940437656082 y1[1] (numeric) = 1.0057190404338799613325105927772 absolute error = 3.384668271690e-19 relative error = 3.3654212912483104042901073827821e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=26.7MB, alloc=4.2MB, time=1.75 NO POLE NO POLE x[1] = 0.108 y2[1] (analytic) = 1.0058263334995331146169340305467 y2[1] (numeric) = 1.0066528538770857442235684941782 absolute error = 0.0008265203775526296066344636315 relative error = 0.082173268885986395942344832053879 % h = 0.001 y1[1] (analytic) = 1.0058263334995331146169340305467 y1[1] (numeric) = 1.005826333499533115003732941259 absolute error = 3.867989107123e-19 relative error = 3.8455834554114857509889324706029e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=30.5MB, alloc=4.2MB, time=2.00 NO POLE NO POLE x[1] = 0.109 y2[1] (analytic) = 1.0059346207387699209039295664461 y2[1] (numeric) = 1.0068689312927416127770227136434 absolute error = 0.0009343105539716918730931471973 relative error = 0.092879848720737286898751621214783 % h = 0.001 y1[1] (analytic) = 1.0059346207387699209039295664461 y1[1] (numeric) = 1.005934620738769921339055335598 absolute error = 4.351257691519e-19 relative error = 4.3255869733595474165389586317185e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=34.3MB, alloc=4.2MB, time=2.26 NO POLE NO POLE x[1] = 0.11 y2[1] (analytic) = 1.0060439020433031496421603885802 y2[1] (numeric) = 1.0070869968933548545380171623155 absolute error = 0.0010430948500517048958567737353 relative error = 0.10368283610020897101835068347509 % h = 0.001 y1[1] (analytic) = 1.0060439020433031496421603885802 y1[1] (numeric) = 1.006043902043303150125607742741 absolute error = 4.834473541608e-19 relative error = 4.8054299934516274677430909566628e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=38.1MB, alloc=4.2MB, time=2.52 NO POLE NO POLE x[1] = 0.111 y2[1] (analytic) = 1.006154177303851505405172832928 y2[1] (numeric) = 1.0073070504608598870654428578991 absolute error = 0.0011528731570083816602700249711 relative error = 0.11458215679208198048673094976902 % h = 0.001 y1[1] (analytic) = 1.006154177303851505405172832928 y1[1] (numeric) = 1.0061541773038515059369364503455 absolute error = 5.317636174175e-19 relative error = 5.2851106660655558436180354567542e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=41.9MB, alloc=4.2MB, time=2.78 NO POLE NO POLE x[1] = 0.112 y2[1] (analytic) = 1.0062654464101397368342158758533 y2[1] (numeric) = 1.0075290917752031611920639537946 absolute error = 0.0012636453650634243578480779413 relative error = 0.12557773593155658871506407644005 % h = 0.001 y1[1] (analytic) = 1.0062654464101397368342158758533 y1[1] (numeric) = 1.006265446410139737414290386459 absolute error = 5.800745106057e-19 relative error = 5.7646271436142480245422983030641e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=45.7MB, alloc=4.2MB, time=3.04 NO POLE NO POLE x[1] = 0.113 y2[1] (analytic) = 1.0063777092508987469134833032516 y2[1] (numeric) = 1.007753120614343381078048568539 absolute error = 0.0013754113634446341645652652874 relative error = 0.13666949802260893545025763550542 % h = 0.001 y1[1] (analytic) = 1.0063777092508987469134833032516 y1[1] (numeric) = 1.006377709250898747541863288666 absolute error = 6.283799854144e-19 relative error = 6.2439775805660197202163014286936e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=49.5MB, alloc=4.2MB, time=3.31 NO POLE NO POLE x[1] = 0.114 y2[1] (analytic) = 1.0064909657138657042392014539315 y2[1] (numeric) = 1.007979136754251726252246122197 absolute error = 0.0014881710403860220130446682655 relative error = 0.14785736693925702346212326815364 % h = 0.001 y1[1] (analytic) = 1.0064909657138657042392014539315 y1[1] (numeric) = 1.0064909657138657049158814474699 absolute error = 6.766799935384e-19 relative error = 6.7231601334688250843944272665536e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=53.4MB, alloc=4.2MB, time=3.56 NO POLE NO POLE x[1] = 0.115 y2[1] (analytic) = 1.0066052156857841552824512681535 y2[1] (numeric) = 1.008207139968912075640989138444 absolute error = 0.0016019242831279203585378702905 relative error = 0.1591412659268365475630597473904 % h = 0.001 y1[1] (analytic) = 1.0066052156857841552824512681535 y1[1] (numeric) = 1.006605215685784156007425754831 absolute error = 7.249744866775e-19 relative error = 7.2021729609615264110954250682799e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=57.2MB, alloc=4.2MB, time=3.83 NO POLE NO POLE x[1] = 0.116 y2[1] (analytic) = 1.006720459052404137645612378511 y2[1] (numeric) = 1.0084371300303212335841954835571 absolute error = 0.0017166709779170959385831050461 relative error = 0.17052111760328651644094999168976 % h = 0.001 y1[1] (analytic) = 1.006720459052404137645612378511 y1[1] (numeric) = 1.0067204590524041384188757950483 absolute error = 7.732634165373e-19 relative error = 7.6810142238010115510705293688028e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=61.0MB, alloc=4.3MB, time=4.09 NO POLE NO POLE x[1] = 0.117 y2[1] (analytic) = 1.006836695698482294312315986721 y2[1] (numeric) = 1.0086691067084891578385450262318 absolute error = 0.0018324110100068635262290395108 relative error = 0.18199684396044462751311623429959 % h = 0.001 y1[1] (analytic) = 1.006836695698482294312315986721 y1[1] (numeric) = 1.0068366956984822951338627215497 absolute error = 8.215467348287e-19 relative error = 8.1596820848763428675952957453976e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=64.8MB, alloc=4.3MB, time=4.36 NO POLE NO POLE x[1] = 0.118 y2[1] (analytic) = 1.00695392550778198889079227638 y2[1] (numeric) = 1.008903069771439189567502715066 absolute error = 0.001949144263657200676710438686 relative error = 0.19356836636535235473828031394859 % h = 0.001 y1[1] (analytic) = 1.00695392550778198889079227638 y1[1] (numeric) = 1.0069539255077819897606166696485 absolute error = 8.698243932685e-19 relative error = 8.6381747092337819386911163163761e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=68.6MB, alloc=4.3MB, time=4.62 NO POLE NO POLE x[1] = 0.119 y2[1] (analytic) = 1.0070721483630734218504971183478 y2[1] (numeric) = 1.0091390189852082853179580837072 absolute error = 0.0020668706221348634674609653594 relative error = 0.20523560556156970905454780230017 % h = 0.001 y1[1] (analytic) = 1.0070721483630734218504971183478 y1[1] (numeric) = 1.007072148363073422768593461927 absolute error = 9.180963435792e-19 relative error = 9.1164902640938141450305670993177e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=72.4MB, alloc=4.3MB, time=4.87 NO POLE NO POLE x[1] = 0.12 y2[1] (analytic) = 1.0071913641461337477519018321424 y2[1] (numeric) = 1.0093769541138472509832492070436 absolute error = 0.0021855899677135032313473749012 relative error = 0.21699848167049963084448667270583 % h = 0.001 y1[1] (analytic) = 1.0071913641461337477519018321424 y1[1] (numeric) = 1.007191364146133748718264369631 absolute error = 9.663625374886e-19 relative error = 9.5946269188661363562533573747258e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=76.2MB, alloc=4.3MB, time=5.13 NO POLE NO POLE x[1] = 0.121 y2[1] (analytic) = 1.0073115727377471934693287735644 y2[1] (numeric) = 1.0096168749194209777523371454336 absolute error = 0.0023053021816737842830083718692 relative error = 0.22885691419272197356341455296452 % h = 0.001 y1[1] (analytic) = 1.0073115727377471934693287735644 y1[1] (numeric) = 1.0073115727377471944839517002951 absolute error = 1.0146229267307e-18 relative error = 1.0072582845177500130002470317079e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.122 y2[1] (analytic) = 1.007432774017705177406714525728 y2[1] (numeric) = 1.0098587811620086800448949278199 absolute error = 0.0024260071443035026381804020919 relative error = 0.24081082200933703740405426002788 % h = 0.001 y1[1] (analytic) = 1.007432774017705177406714525728 y1[1] (numeric) = 1.007432774017705178469591988773 absolute error = 1.0628774630450e-18 relative error = 1.0550356216883613190328908353595e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=80.1MB, alloc=4.3MB, time=5.40 NO POLE NO POLE x[1] = 0.123 y2[1] (analytic) = 1.0075549678648064297061814777427 y2[1] (numeric) = 1.0101026725997041354320731386581 absolute error = 0.0025477047348977057258916609154 relative error = 0.25286012338331861160977611385392 % h = 0.001 y1[1] (analytic) = 1.0075549678648064297061814777427 y1[1] (numeric) = 1.0075549678648064308173075759196 absolute error = 1.1111260981769e-18 relative error = 1.1027945210091909631631075294724e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=83.9MB, alloc=4.3MB, time=5.66 NO POLE NO POLE x[1] = 0.124 y2[1] (analytic) = 1.007678154156857113449297582485 y2[1] (numeric) = 1.010348548988615926542702187915 absolute error = 0.00267039483175881309340460543 relative error = 0.26500473596087648378972815321037 % h = 0.001 y1[1] (analytic) = 1.007678154156857113449297582485 y1[1] (numeric) = 1.007678154156857114608666366363 absolute error = 1.1593687838780e-18 relative error = 1.1505348003183270680482602094481e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=87.7MB, alloc=4.3MB, time=5.92 NO POLE NO POLE x[1] = 0.125 y2[1] (analytic) = 1.0078023327706709468509030922118 y2[1] (numeric) = 1.0105964100828676849546893579542 absolute error = 0.0027940773121967381037862657424 relative error = 0.27724457677282837433227236888628 % h = 0.001 y1[1] (analytic) = 1.0078023327706709468509030922118 y1[1] (numeric) = 1.0078023327706709480585085641172 absolute error = 1.2076054719054e-18 relative error = 1.1982562776823766070710820311518e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=91.5MB, alloc=4.3MB, time=6.18 NO POLE NO POLE x[1] = 0.126 y2[1] (analytic) = 1.0079275035820693264453820781963 y2[1] (numeric) = 1.0108462556345983370713667359321 absolute error = 0.0029187520525290106259846577358 relative error = 0.28957956223598125375830682638336 % h = 0.001 y1[1] (analytic) = 1.0079275035820693264453820781963 y1[1] (numeric) = 1.0079275035820693277012181922189 absolute error = 1.2558361140226e-18 relative error = 1.2459587713992219707818996616763e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=95.3MB, alloc=4.3MB, time=6.44 NO POLE NO POLE x[1] = 0.127 y2[1] (analytic) = 1.0080536664658814512652555481279 y2[1] (numeric) = 1.0110980853939623519825441553769 absolute error = 0.003044418928080900717288607249 relative error = 0.30200960815452200060327032122177 % h = 0.001 y1[1] (analytic) = 1.0080536664658814512652555481279 y1[1] (numeric) = 1.0080536664658814525693162101268 absolute error = 1.3040606619989e-18 relative error = 1.2936420999992833129922877011455e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=99.1MB, alloc=4.3MB, time=6.70 NO POLE NO POLE x[1] = 0.128 y2[1] (analytic) = 1.0081808212959444480119719826911 y2[1] (numeric) = 1.0113518991091299913100192859187 absolute error = 0.0031710778131855432980473032276 relative error = 0.31453462972141735716590810456723 % h = 0.001 y1[1] (analytic) = 1.0081808212959444480119719826911 y1[1] (numeric) = 1.0081808212959444493642510503008 absolute error = 1.3522790676097e-18 relative error = 1.3413060822476684585473909402488e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=102.9MB, alloc=4.3MB, time=6.96 NO POLE NO POLE x[1] = 0.129 y2[1] (analytic) = 1.0083089679451034972187701205446 y2[1] (numeric) = 1.0116076965262875610372950256808 absolute error = 0.0032987285811840638185249051362 relative error = 0.32715454151982314021323419461165 % h = 0.001 y1[1] (analytic) = 1.0083089679451034972187701205446 y1[1] (numeric) = 1.0083089679451034986192614031812 absolute error = 1.4004912826366e-18 relative error = 1.3889505371461186161198882003857e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=106.8MB, alloc=4.3MB, time=7.23 NO POLE NO POLE x[1] = 0.13 y2[1] (analytic) = 1.0084381062852119604054878288482 y2[1] (numeric) = 1.0118654773896376653232523666367 absolute error = 0.0034273711044257049177645377885 relative error = 0.33986925752450266348456766750391 % h = 0.001 y1[1] (analytic) = 1.0084381062852119604054878288482 y1[1] (numeric) = 1.0084381062852119618541850877156 absolute error = 1.4486972588674e-18 relative error = 1.4365752839348491924192235518974e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=110.6MB, alloc=4.3MB, time=7.50 NO POLE NO POLE x[1] = 0.131 y2[1] (analytic) = 1.0085682361871315082251899045384 y2[1] (numeric) = 1.0121252414413994622995249192797 absolute error = 0.0035570052542679540743350147413 relative error = 0.35267869110325432859305676877433 % h = 0.001 y1[1] (analytic) = 1.0085682361871315082251899045384 y1[1] (numeric) = 1.0085682361871315097220868526346 absolute error = 1.4968969480962e-18 relative error = 1.4841801420944840578262892420310e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=114.4MB, alloc=4.3MB, time=7.76 NO POLE NO POLE x[1] = 0.132 y2[1] (analytic) = 1.008699357520732249602486659737 y2[1] (numeric) = 1.0123869884218089218513192992535 absolute error = 0.0036876309010766722488326395165 relative error = 0.36558275501834834068074522527275 % h = 0.001 y1[1] (analytic) = 1.008699357520732249602486659737 y1[1] (numeric) = 1.0086993575207322511475769618601 absolute error = 1.5450903021231e-18 relative error = 1.5317649313475874471457328895013e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=118.2MB, alloc=4.3MB, time=8.02 NO POLE NO POLE x[1] = 0.133 y2[1] (analytic) = 1.0088314701548928618634141529829 y2[1] (numeric) = 1.0126507180691190853814235951439 absolute error = 0.003819247914226223518009442161 relative error = 0.37858136142797250494298914353613 % h = 0.001 y1[1] (analytic) = 1.0088314701548928618634141529829 y1[1] (numeric) = 1.008831470154892863456691425738 absolute error = 1.5932772727551e-18 relative error = 1.5793294716613798123378675326255e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=122.0MB, alloc=4.3MB, time=8.28 NO POLE NO POLE x[1] = 0.134 y2[1] (analytic) = 1.0089645739575007218567459364203 y2[1] (numeric) = 1.0129164301196003275571441534444 absolute error = 0.0039518561620996057003982170241 relative error = 0.39167442188768705989990958005759 % h = 0.001 y1[1] (analytic) = 1.0089645739575007218567459364203 y1[1] (numeric) = 1.0089645739575007234982037482252 absolute error = 1.6414578118049e-18 relative error = 1.6268735832483658171712822631178e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=125.8MB, alloc=4.3MB, time=8.54 NO POLE NO POLE x[1] = 0.135 y2[1] (analytic) = 1.0090986687954520380666051976395 y2[1] (numeric) = 1.0131841243075406200399089337824 absolute error = 0.0040854555120885819733037361429 relative error = 0.40486184735188850305657434286229 % h = 0.001 y1[1] (analytic) = 1.0090986687954520380666051976395 y1[1] (numeric) = 1.0090986687954520397562370687317 absolute error = 1.6896318710922e-18 relative error = 1.6743970865694348780525365324007e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=129.7MB, alloc=4.3MB, time=8.80 x[1] = 0.136 y2[1] (analytic) = 1.009233754534651983716245183572 y2[1] (numeric) = 1.0134538003652457971972737048225 absolute error = 0.0042200458305938134810285212505 relative error = 0.41814354817528236435975175968785 % h = 0.001 y1[1] (analytic) = 1.009233754534651983716245183572 y1[1] (numeric) = 1.0092337545346519854540445860148 absolute error = 1.7377994024428e-18 relative error = 1.7218998023347749176858209999829e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.137 y2[1] (analytic) = 1.0093698310400148308628648026684 y2[1] (numeric) = 1.0137254580230398237970653688645 absolute error = 0.0043556269830249929342005661961 relative error = 0.43151943411436488262737781084823 % h = 0.001 y1[1] (analytic) = 1.0093698310400148308628648026684 y1[1] (numeric) = 1.0093698310400148326488251603576 absolute error = 1.7859603576892e-18 relative error = 1.7693815515062669794463110118429e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=133.5MB, alloc=4.3MB, time=9.06 NO POLE NO POLE x[1] = 0.138 y2[1] (analytic) = 1.0095068981754640854833253105562 y2[1] (numeric) = 1.0139990970092650646833947210144 absolute error = 0.0044921988338009792000694104582 relative error = 0.4449894143289135398973348031774 % h = 0.001 y1[1] (analytic) = 1.0095068981754640854833253105562 y1[1] (numeric) = 1.0095068981754640873174399992266 absolute error = 1.8341146886704e-18 relative error = 1.8168421552990809308495612322067e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=137.3MB, alloc=4.3MB, time=9.33 NO POLE NO POLE x[1] = 0.139 y2[1] (analytic) = 1.0096449558039326235506329934705 y2[1] (numeric) = 1.0142747170502825564342689669379 absolute error = 0.0046297612463499328836359734674 relative error = 0.45855339738348640841476313985141 % h = 0.001 y1[1] (analytic) = 1.0096449558039326235506329934705 y1[1] (numeric) = 1.0096449558039326254328953407028 absolute error = 1.8822623472323e-18 relative error = 1.8642814351838595922820219543277e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=141.1MB, alloc=4.3MB, time=9.59 NO POLE NO POLE x[1] = 0.14 y2[1] (analytic) = 1.0097840037873628281010517729886 y2[1] (numeric) = 1.0145523178704722810005323416073 absolute error = 0.0047683140831094528994805686187 relative error = 0.47221129124893026475192604970807 % h = 0.001 y1[1] (analytic) = 1.0097840037873628281010517729886 y1[1] (numeric) = 1.0097840037873628300314550582156 absolute error = 1.9304032852270e-18 relative error = 1.9116992128878071573709625453143e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=144.9MB, alloc=4.3MB, time=9.85 NO POLE NO POLE x[1] = 0.141 y2[1] (analytic) = 1.0099240419867067272917086649643 y2[1] (numeric) = 1.0148318991922334413258611901228 absolute error = 0.0049078572055267140341525251585 relative error = 0.4859630033038974253316285615994 % h = 0.001 y1[1] (analytic) = 1.0099240419867067272917086649643 y1[1] (numeric) = 1.009924041986706729270246119478 absolute error = 1.9785374545137e-18 relative error = 1.9590953103973563867515560337493e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=148.7MB, alloc=4.3MB, time=10.12 NO POLE NO POLE x[1] = 0.142 y2[1] (analytic) = 1.0100650702619261334485540350706 y2[1] (numeric) = 1.0151134607359847389475378906376 absolute error = 0.005048390474058605498983855567 relative error = 0.49980844033637125740436457358188 % h = 0.001 y1[1] (analytic) = 1.0100650702619261334485540350706 y1[1] (numeric) = 1.0100650702619261354752188420288 absolute error = 2.0266648069582e-18 relative error = 2.0064695499594428989578491232858e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=152.5MB, alloc=4.3MB, time=10.39 NO POLE NO POLE x[1] = 0.143 y2[1] (analytic) = 1.0102070884719927831045376030009 y2[1] (numeric) = 1.0153970022201646535777260186343 absolute error = 0.0051899137481718704731884156334 relative error = 0.51374750854520031931073745371012 % h = 0.001 y1[1] (analytic) = 1.0102070884719927831045376030009 y1[1] (numeric) = 1.0102070884719927851793228974339 absolute error = 2.0747852944330e-18 relative error = 2.0538217540833676612349685675523e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=156.4MB, alloc=4.3MB, time=10.65 NO POLE NO POLE x[1] = 0.144 y2[1] (analytic) = 1.0103500964748884780278601571639 y2[1] (numeric) = 1.0156825233612317246649671713025 absolute error = 0.0053324268863432466371070141386 relative error = 0.52778011354164108364427794651751 % h = 0.001 y1[1] (analytic) = 1.0103500964748884780278601571639 y1[1] (numeric) = 1.0103500964748884801507590259818 absolute error = 2.1228988688179e-18 relative error = 2.1011517455431480905737774107984e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=160.2MB, alloc=4.3MB, time=10.91 NO POLE NO POLE x[1] = 0.145 y2[1] (analytic) = 1.010494094127605227240159951634 y2[1] (numeric) = 1.0159700238736648349356178905427 absolute error = 0.0054759297460596076954579389087 relative error = 0.54190616035090919671557582196683 % h = 0.001 y1[1] (analytic) = 1.010494094127605227240159951634 y1[1] (numeric) = 1.0104940941276052294111654336331 absolute error = 2.1710054819991e-18 relative error = 2.1484593473783780044156659137295e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=164.0MB, alloc=4.3MB, time=11.17 NO POLE NO POLE x[1] = 0.146 y2[1] (analytic) = 1.0106390812861453900244917671803 y2[1] (numeric) = 1.0162595034699634959149431431841 absolute error = 0.0056204221838181058904513760038 relative error = 0.55612555341373922750665611771408 % h = 0.001 y1[1] (analytic) = 1.0106390812861453900244917671803 y1[1] (numeric) = 1.0106390812861453922435968530504 absolute error = 2.2191050858701e-18 relative error = 2.1957443828968631257214266691320e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=167.8MB, alloc=4.3MB, time=11.43 NO POLE NO POLE x[1] = 0.147 y2[1] (analytic) = 1.0107850578055218199229556284092 y2[1] (numeric) = 1.0165509618606481354275808373467 absolute error = 0.0057659040551263155046252089375 relative error = 0.57043819658795285909477426020682 % h = 0.001 y1[1] (analytic) = 1.0107850578055218199229556284092 y1[1] (numeric) = 1.0107850578055218221901532607404 absolute error = 2.2671976323312e-18 relative error = 2.2430066756758644686911304060840e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=171.6MB, alloc=4.3MB, time=11.70 NO POLE NO POLE x[1] = 0.148 y2[1] (analytic) = 1.0109320235397580097238311794022 y2[1] (numeric) = 1.016844398754260387077089874506 absolute error = 0.0059123752145023773532586951038 relative error = 0.58484399315003547531728392643399 % h = 0.001 y1[1] (analytic) = 1.0109320235397580097238311794022 y1[1] (numeric) = 1.0109320235397580120391142526922 absolute error = 2.3152830732900e-18 relative error = 2.2902460495643250095256831291931e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=175.4MB, alloc=4.3MB, time=11.96 NO POLE NO POLE x[1] = 0.149 y2[1] (analytic) = 1.0110799783418882374380727307282 y2[1] (numeric) = 1.0171398138573633817042922577382 absolute error = 0.00605983551547514426621952701 relative error = 0.59934284579672109524395419119431 % h = 0.001 y1[1] (analytic) = 1.0110799783418882374380727307282 y1[1] (numeric) = 1.0110799783418882398014340913892 absolute error = 2.3633613606610e-18 relative error = 2.3374623286841994257829779943102e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=179.2MB, alloc=4.3MB, time=12.23 NO POLE NO POLE x[1] = 0.15 y2[1] (analytic) = 1.0112289220639577132650190013457 y2[1] (numeric) = 1.0174372068745420408241177978263 absolute error = 0.0062082848105843275590987964806 relative error = 0.61393465664658560782008510801783 % h = 0.001 y1[1] (analytic) = 1.0112289220639577132650190013457 y1[1] (numeric) = 1.0112289220639577156764514477116 absolute error = 2.4114324463659e-18 relative error = 2.3846553374324700116642796635051e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=183.1MB, alloc=4.3MB, time=12.49 x[1] = 0.151 y2[1] (analytic) = 1.0113788545570227275471705896988 y2[1] (numeric) = 1.017736577508403372040657980408 absolute error = 0.0063577229513806444934873907092 relative error = 0.62861932724164825884300005527068 % h = 0.001 y1[1] (analytic) = 1.0113788545570227275471705896988 y1[1] (numeric) = 1.0113788545570227300066668720325 absolute error = 2.4594962823337e-18 relative error = 2.4318249004829581507305826754132e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.152 y2[1] (analytic) = 1.0115297756711507997138872192414 y2[1] (numeric) = 1.0180379254595767664401335791356 absolute error = 0.0065081497884259667262463598942 relative error = 0.64339675854898134223598544898272 % h = 0.001 y1[1] (analytic) = 1.0115297756711507997138872192414 y1[1] (numeric) = 1.0115297756711508022214400397419 absolute error = 2.5075528205005e-18 relative error = 2.4789708427878326531668700763756e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=186.9MB, alloc=4.3MB, time=12.75 NO POLE NO POLE x[1] = 0.153 y2[1] (analytic) = 1.0116816852554208282138558147042 y2[1] (numeric) = 1.0183412504267142979614786219055 absolute error = 0.0066595651712934697476228072013 relative error = 0.65826685096232804738751013344019 % h = 0.001 y1[1] (analytic) = 1.0116816852554208282138558147042 y1[1] (numeric) = 1.0116816852554208307694578275139 absolute error = 2.5556020128097e-18 relative error = 2.5260929895795071514578098122214e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=190.7MB, alloc=4.3MB, time=13.01 NO POLE NO POLE x[1] = 0.154 y2[1] (analytic) = 1.0118345831579232414361794766499 y2[1] (numeric) = 1.0186465521064910247442413395975 absolute error = 0.0068119689485677833080618629476 relative error = 0.67322950430372841412959410813535 % h = 0.001 y1[1] (analytic) = 1.0118345831579232414361794766499 y1[1] (numeric) = 1.0118345831579232440398232878621 absolute error = 2.6036438112122e-18 relative error = 2.5731911663725307856684579723309e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=194.5MB, alloc=4.3MB, time=13.27 NO POLE NO POLE x[1] = 0.155 y2[1] (analytic) = 1.0119884692257601496199364332395 y2[1] (numeric) = 1.0189538301936052924535007494493 absolute error = 0.0069653609678451428335643162098 relative error = 0.68828461782515334673751528135698 % h = 0.001 y1[1] (analytic) = 1.0119884692257601496199364332395 y1[1] (numeric) = 1.0119884692257601522716146009058 absolute error = 2.6516781676663e-18 relative error = 2.6202651989651756957298981116481e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=198.3MB, alloc=4.3MB, time=13.53 NO POLE NO POLE x[1] = 0.156 y2[1] (analytic) = 1.0121433433050454977520570596639 y2[1] (numeric) = 1.0192630843807790395814955481736 absolute error = 0.0071197410757335418294384885097 relative error = 0.70343209021014663814364954614726 % h = 0.001 y1[1] (analytic) = 1.0121433433050454977520570596639 y1[1] (numeric) = 1.0121433433050455004517620938013 absolute error = 2.6997050341374e-18 relative error = 2.6673149134408204022223756791694e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=202.1MB, alloc=4.3MB, time=13.80 NO POLE NO POLE x[1] = 0.157 y2[1] (analytic) = 1.0122992052409052194533660673757 y2[1] (numeric) = 1.0195743143587581047256600132151 absolute error = 0.0072751091178528852722939458394 relative error = 0.71867181957547495537113939174992 % h = 0.001 y1[1] (analytic) = 1.0122992052409052194533660673757 y1[1] (numeric) = 1.0122992052409052222010904299744 absolute error = 2.7477243625987e-18 relative error = 2.7143401361703146786772501791887e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=205.9MB, alloc=4.3MB, time=14.06 NO POLE NO POLE x[1] = 0.158 y2[1] (analytic) = 1.0124560548774773918526359770927 y2[1] (numeric) = 1.019887519816312535842759634137 absolute error = 0.0074314649388351439901236570443 relative error = 0.73400370347278573700828507418632 % h = 0.001 y1[1] (analytic) = 1.0124560548774773918526359770927 y1[1] (numeric) = 1.0124560548774773946483720821238 absolute error = 2.7957361050311e-18 relative error = 2.7613406938135469630723750404200e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=209.8MB, alloc=4.3MB, time=14.32 NO POLE NO POLE x[1] = 0.159 y2[1] (analytic) = 1.0126138920579123914484970015328 y2[1] (numeric) = 1.0202027004402369014788172200272 absolute error = 0.0075888083823245100303202184944 relative error = 0.74942763889027295336205550215785 % h = 0.001 y1[1] (analytic) = 1.0126138920579123914484970015328 y1[1] (numeric) = 1.0126138920579123942922372149555 absolute error = 2.8437402134227e-18 relative error = 2.8083164133206101428445914766488e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=213.6MB, alloc=4.3MB, time=14.58 NO POLE NO POLE x[1] = 0.16 y2[1] (analytic) = 1.0127727166243730509590474759817 y2[1] (numeric) = 1.0205198559153506039745182530235 absolute error = 0.0077471392909775530154707770418 relative error = 0.76494352225435067974892872233438 % h = 0.001 y1[1] (analytic) = 1.0127727166243730509590474759817 y1[1] (numeric) = 1.012772716624373053850784115751 absolute error = 2.8917366397693e-18 relative error = 2.8552671219339484613199650750846e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=217.4MB, alloc=4.3MB, time=14.85 NO POLE NO POLE x[1] = 0.161 y2[1] (analytic) = 1.0129325284180348171590079870976 y2[1] (numeric) = 1.0208389859244981946457822825794 absolute error = 0.0079064575064633774867742954818 relative error = 0.78055124943133443320339932980356 % h = 0.001 y1[1] (analytic) = 1.0129325284180348171590079870976 y1[1] (numeric) = 1.0129325284180348200987333231723 absolute error = 2.9397253360747e-18 relative error = 2.9021926471902997544685282996129e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=221.2MB, alloc=4.3MB, time=15.11 NO POLE NO POLE x[1] = 0.162 y2[1] (analytic) = 1.0130933272790859097042613628125 y2[1] (numeric) = 1.0211600901485496909391851799244 absolute error = 0.0080667628694637812349238171119 relative error = 0.79625071572913022270893724977233 % h = 0.001 y1[1] (analytic) = 1.0130933272790859097042613628125 y1[1] (numeric) = 1.0130933272790859126919676171625 absolute error = 2.9877062543500e-18 relative error = 2.9490928169216435361903438987142e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=225.0MB, alloc=4.3MB, time=15.37 NO POLE NO POLE x[1] = 0.163 y2[1] (analytic) = 1.0132551130467274809436196988004 y2[1] (numeric) = 1.0214831682664008955619150973242 absolute error = 0.0082280552196734146182953985238 relative error = 0.81204181589893126288295394571612 % h = 0.001 y1[1] (analytic) = 1.0132551130467274809436196988004 y1[1] (numeric) = 1.0132551130467274839792990454148 absolute error = 3.0356793466144e-18 relative error = 2.9959674592576232947564062093475e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=228.8MB, alloc=4.3MB, time=15.63 NO POLE NO POLE x[1] = 0.164 y2[1] (analytic) = 1.0134178855591737767176586097624 y2[1] (numeric) = 1.0218082199549737175859430022101 absolute error = 0.0083903343957999408682843924477 relative error = 0.82792444413692230087643285987863 % h = 0.001 y1[1] (analytic) = 1.0134178855591737767176586097624 y1[1] (numeric) = 1.0134178855591737798013031746572 absolute error = 3.0836445648948e-18 relative error = 3.0428164026267770676701105971594e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=232.7MB, alloc=4.3MB, time=15.90 NO POLE NO POLE x[1] = 0.165 y2[1] (analytic) = 1.0135816446536522981444579067051 y2[1] (numeric) = 1.0221352448892164955260866820347 absolute error = 0.0085536002355641973816287753296 relative error = 0.84389849408599150608031528782784 % h = 0.001 y1[1] (analytic) = 1.0135816446536522981444579067051 y1[1] (numeric) = 1.013581644653652301276059767931 absolute error = 3.1316018612259e-18 relative error = 3.0896394757582548093508869821806e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.166 y2[1] (analytic) = 1.0137463901664039643920869144861 y2[1] (numeric) = 1.0224642427421043223916451418165 absolute error = 0.0087178525757003579995582273304 relative error = 0.85996385883744987206450527206912 % h = 0.001 y1[1] (analytic) = 1.0137463901664039643920869144861 y1[1] (numeric) = 1.0137463901664039675716381021367 absolute error = 3.1795511876506e-18 relative error = 3.1364365076838246803101704773874e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=236.5MB, alloc=4.3MB, time=16.16 NO POLE NO POLE x[1] = 0.167 y2[1] (analytic) = 1.0139121219326832764376716571557 y2[1] (numeric) = 1.0227952131846393727112783427664 absolute error = 0.0088830912519560962736066856107 relative error = 0.87612043093275808001147166324795 % h = 0.001 y1[1] (analytic) = 1.0139121219326832764376716571557 y1[1] (numeric) = 1.013912121932683279665164153375 absolute error = 3.2274924962193e-18 relative error = 3.1832073277387870974906539769479e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=240.3MB, alloc=4.3MB, time=16.43 NO POLE NO POLE x[1] = 0.168 y2[1] (analytic) = 1.014078839786758481812880152039 y2[1] (numeric) = 1.0231281558858512315308052571431 absolute error = 0.0090493160990927497179251051041 relative error = 0.89236810236526077274488627698395 % h = 0.001 y1[1] (analytic) = 1.014078839786758481812880152039 y1[1] (numeric) = 1.0140788397867584850883058910299 absolute error = 3.2754257389909e-18 relative error = 3.2299517655645588839622713621658e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=244.1MB, alloc=4.3MB, time=16.69 NO POLE NO POLE x[1] = 0.169 y2[1] (analytic) = 1.0142465435619117403356610670895 y2[1] (numeric) = 1.0234630705127972253835912415671 absolute error = 0.0092165269508854850479301744776 relative error = 0.90870676458192818829454795060548 % h = 0.001 y1[1] (analytic) = 1.0142465435619117403356610670895 y1[1] (numeric) = 1.0142465435619117436590119351217 absolute error = 3.3233508680322e-18 relative error = 3.2766696511096719151843546305470e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=247.9MB, alloc=4.3MB, time=16.96 NO POLE NO POLE x[1] = 0.17 y2[1] (analytic) = 1.0144152330904392908280700097875 y2[1] (numeric) = 1.0237999567305627552331937584334 absolute error = 0.0093847236401234644051237486459 relative error = 0.925136308485105101782007005397 % h = 0.001 y1[1] (analytic) = 1.0144152330904392908280700097875 y1[1] (numeric) = 1.0144152330904392941993378452054 absolute error = 3.3712678354179e-18 relative error = 3.3233608146313567875601322501998e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=251.7MB, alloc=4.3MB, time=17.23 NO POLE NO POLE x[1] = 0.171 y2[1] (analytic) = 1.0145849082036516188200167297711 y2[1] (numeric) = 1.0241388142022616313879335028054 absolute error = 0.0095539059986100125679167730343 relative error = 0.9416566244342670242568267175133 % h = 0.001 y1[1] (analytic) = 1.0145849082036516188200167297711 y1[1] (numeric) = 1.0145849082036516222391933230022 absolute error = 3.4191765932311e-18 relative error = 3.3700250866976122373288486174595e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=255.5MB, alloc=4.3MB, time=17.49 NO POLE NO POLE x[1] = 0.172 y2[1] (analytic) = 1.0147555687318736252387655314679 y2[1] (numeric) = 1.0244796425890364103870560202456 absolute error = 0.0097240738571627851482904887777 relative error = 0.95826760224778360696130131289755 % h = 0.001 y1[1] (analytic) = 1.0147555687318736252387655314679 y1[1] (numeric) = 1.014755568731873628705842625031 absolute error = 3.4670770935631e-18 relative error = 3.4166622981885771506386195238858e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=259.4MB, alloc=4.3MB, time=17.75 NO POLE NO POLE x[1] = 0.173 y2[1] (analytic) = 1.0149272145044447960840202072392 y2[1] (numeric) = 1.0248224415500587338581469294509 absolute error = 0.0098952270456139377741267222117 relative error = 0.97496913120468919935169699302593 % h = 0.001 y1[1] (analytic) = 1.0149272145044447960840202072392 y1[1] (numeric) = 1.0149272145044447995989894957526 absolute error = 3.5149692885134e-18 relative error = 3.4632722802980927071501197823198e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=263.2MB, alloc=4.3MB, time=18.02 NO POLE NO POLE x[1] = 0.174 y2[1] (analytic) = 1.0150998453497193730884238159675 y2[1] (numeric) = 1.0251672107425296693454618923046 absolute error = 0.0100673653928102962570380763371 relative error = 0.99176110004646050905669667659066 % h = 0.001 y1[1] (analytic) = 1.0150998453497193730884238159675 y1[1] (numeric) = 1.0150998453497193766512769461573 absolute error = 3.5628531301898e-18 relative error = 3.5098548645353558862412599841521e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=267.0MB, alloc=4.3MB, time=18.28 NO POLE NO POLE x[1] = 0.175 y2[1] (analytic) = 1.0152734610950665253633026466005 y2[1] (numeric) = 1.0255139498216800531088305030443 absolute error = 0.0102404887266135277455278564438 relative error = 1.008643396978801311808713464837 % h = 0.001 y1[1] (analytic) = 1.0152734610950665253633026466005 y1[1] (numeric) = 1.0152734610950665289740312173089 absolute error = 3.6107285707084e-18 relative error = 3.5564098827264671992460207871527e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=270.8MB, alloc=4.3MB, time=18.54 NO POLE NO POLE x[1] = 0.176 y2[1] (analytic) = 1.0154480615668705220294827209227 y2[1] (numeric) = 1.0258626584407708348927912976692 absolute error = 0.0104145968739003128633085767465 relative error = 1.0256159096734341592410951047447 % h = 0.001 y1[1] (analytic) = 1.0154480615668705220294827209227 y1[1] (numeric) = 1.0154480615668705256880782831166 absolute error = 3.6585955621939e-18 relative error = 3.6029371670162666520607629083433e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=274.6MB, alloc=4.3MB, time=18.80 NO POLE NO POLE x[1] = 0.177 y2[1] (analytic) = 1.0156236465905309058330062047525 y2[1] (numeric) = 1.026213336251093424665613114482 absolute error = 0.0105896896605625188326069097295 relative error = 1.0426785252698990323039745837435 % h = 0.001 y1[1] (analytic) = 1.0156236465905309058330062047525 y1[1] (numeric) = 1.0156236465905309095394602615317 absolute error = 3.7064540567792e-18 relative error = 3.6494365498694729370504428219258e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=278.4MB, alloc=4.3MB, time=19.07 NO POLE NO POLE x[1] = 0.178 y2[1] (analytic) = 1.0158002159904626677455741118622 y2[1] (numeric) = 1.0265659829019700413278560667717 absolute error = 0.0107657669115073735822819549095 relative error = 1.0598311303773588879136329348541 % h = 0.001 y1[1] (analytic) = 1.0158002159904626677455741118622 y1[1] (numeric) = 1.015800215990462671499878118468 absolute error = 3.7543040066058e-18 relative error = 3.6959078640726033290008730721171e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=282.2MB, alloc=4.3MB, time=19.33 NO POLE NO POLE x[1] = 0.179 y2[1] (analytic) = 1.0159777695900964225495407001936 y2[1] (numeric) = 1.026920598040754063390123419106 absolute error = 0.0109428284506576408405827189124 relative error = 1.0770736110764120463147317032692 % h = 0.001 y1[1] (analytic) = 1.0159777695900964225495407001936 y1[1] (numeric) = 1.0159777695900964263516860640173 absolute error = 3.8021453638237e-18 relative error = 3.7423509427353937473477759723381e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=286.1MB, alloc=4.3MB, time=19.59 x[1] = 0.18 y2[1] (analytic) = 1.0161563072118785854072839753885 y2[1] (numeric) = 1.0272771813128303816196536895107 absolute error = 0.0111208741009517962123697141222 relative error = 1.0944058529209113665016465114644 % h = 0.001 y1[1] (analytic) = 1.0161563072118785854072839753885 y1[1] (numeric) = 1.0161563072118785892572620559802 absolute error = 3.8499780805917e-18 relative error = 3.7887656192926052469450751301325e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.181 y2[1] (analytic) = 1.0163358286772715494147757322793 y2[1] (numeric) = 1.027635732361615753655400330973 absolute error = 0.0112999036843442042406245986937 relative error = 1.1118277409397901569143917935804 % h = 0.001 y1[1] (analytic) = 1.0163358286772715494147757322793 y1[1] (numeric) = 1.0163358286772715533125778413564 absolute error = 3.8978021090771e-18 relative error = 3.8351517275052325000509353419224e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=289.9MB, alloc=4.3MB, time=19.85 NO POLE NO POLE x[1] = 0.182 y2[1] (analytic) = 1.016516333806753864139173580784 y2[1] (numeric) = 1.0279962508285591605912443772188 absolute error = 0.0114799170218052964520707964348 relative error = 1.1293391596388947684962719330351 % h = 0.001 y1[1] (analytic) = 1.016516333806753864139173580784 y1[1] (numeric) = 1.0165163338067538680847909822397 absolute error = 3.9456174014557e-18 relative error = 3.8815091014620003490924327811112e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=293.7MB, alloc=4.3MB, time=20.11 NO POLE NO POLE x[1] = 0.183 y2[1] (analytic) = 1.0166978224198204151402564186277 y2[1] (numeric) = 1.0283587363531421655269834695811 absolute error = 0.0116609139333217503867270509534 relative error = 1.1469399930028238170744274580382 % h = 0.001 y1[1] (analytic) = 1.0166978224198204151402564186277 y1[1] (numeric) = 1.0166978224198204191336803285401 absolute error = 3.9934239099124e-18 relative error = 3.9278375755814431147821424702048e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=297.5MB, alloc=4.3MB, time=20.38 NO POLE NO POLE x[1] = 0.184 y2[1] (analytic) = 1.0168802943349826044755238294719 y2[1] (numeric) = 1.0287231885728792740867387140004 absolute error = 0.0118428942378966696112148845285 relative error = 1.1646301244967739819008682039367 % h = 0.001 y1[1] (analytic) = 1.0168802943349826044755238294719 y1[1] (numeric) = 1.0168802943349826085167454161124 absolute error = 4.0412215866405e-18 relative error = 3.9741369846126974335407210128112e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=301.3MB, alloc=4.3MB, time=20.64 NO POLE NO POLE x[1] = 0.185 y2[1] (analytic) = 1.0170637493697685321887789013652 y2[1] (numeric) = 1.0290896071233182969044188497799 absolute error = 0.0120258577535497647156399484147 relative error = 1.1824094370683923270703998639868 % h = 0.001 y1[1] (analytic) = 1.0170637493697685321887789013652 y1[1] (numeric) = 1.0170637493697685362777892852076 absolute error = 4.0890103838424e-18 relative error = 4.0204071636376649034420052084208e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=305.1MB, alloc=4.3MB, time=20.90 NO POLE NO POLE x[1] = 0.186 y2[1] (analytic) = 1.0172481873407231787820129769491 y2[1] (numeric) = 1.029457991638040714075879244662 absolute error = 0.0122098042973175352938662677129 relative error = 1.200277813149635092413057392095 % h = 0.001 y1[1] (analytic) = 1.0172481873407231787820129769491 y1[1] (numeric) = 1.0172481873407231829188032306785 absolute error = 4.1367902537294e-18 relative error = 4.0666479480722817785129772963042e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=308.9MB, alloc=4.3MB, time=21.17 NO POLE NO POLE x[1] = 0.187 y2[1] (analytic) = 1.0174336080634085886704098635492 y2[1] (numeric) = 1.0298283417486620415774112640975 absolute error = 0.0123947336852534529070014005483 relative error = 1.2182351346586329003422594137579 % h = 0.001 y1[1] (analytic) = 1.0174336080634085886704098635492 y1[1] (numeric) = 1.0174336080634085928549710120707 absolute error = 4.1845611485215e-18 relative error = 4.1128591736677813815617321775032e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=312.8MB, alloc=4.3MB, time=21.43 NO POLE NO POLE x[1] = 0.188 y2[1] (analytic) = 1.0176200113524040546202860481617 y2[1] (numeric) = 1.030200657084832199650195596248 absolute error = 0.0125806457324281450299095480863 relative error = 1.2362812830015623250258931135621 % h = 0.001 y1[1] (analytic) = 1.0176200113524040546202860481617 y1[1] (numeric) = 1.0176200113524040588526090686097 absolute error = 4.2323230204480e-18 relative error = 4.1590406765127353635208875328300e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=316.6MB, alloc=4.3MB, time=21.70 NO POLE NO POLE x[1] = 0.189 y2[1] (analytic) = 1.0178073970213063031697824794125 y2[1] (numeric) = 1.0305749372742358831503511482998 absolute error = 0.0127675402529295799805686688873 relative error = 1.254416139074523770135929817177 % h = 0.001 y1[1] (analytic) = 1.0178073970213063031697824794125 y1[1] (numeric) = 1.0178073970213063074498583011593 absolute error = 4.2800758217468e-18 relative error = 4.2051922930338095176148428908066e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=320.4MB, alloc=4.3MB, time=21.97 NO POLE NO POLE x[1] = 0.19 y2[1] (analytic) = 1.0179957648827296810321224958101 y2[1] (numeric) = 1.0309511819425929338642091640705 absolute error = 0.0129554170598632528320866682604 relative error = 1.2726395832654256013229583408893 % h = 0.001 y1[1] (analytic) = 1.0179957648827296810321224958101 y1[1] (numeric) = 1.0179957648827296853599420004753 absolute error = 4.3278195046652e-18 relative error = 4.2513138599979862709885854757964e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=324.2MB, alloc=4.3MB, time=22.23 NO POLE NO POLE x[1] = 0.191 y2[1] (analytic) = 1.0181851147483063424812494970519 y2[1] (numeric) = 1.0313293907136587147884402476655 absolute error = 0.0131442759653523723071907506136 relative error = 1.2909514954558744794552066583456 % h = 0.001 y1[1] (analytic) = 1.0181851147483063424812494970519 y1[1] (numeric) = 1.0181851147483063468568035185115 absolute error = 4.3755540214596e-18 relative error = 4.2974052145136983624840197490505e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=328.0MB, alloc=4.3MB, time=22.49 NO POLE NO POLE x[1] = 0.192 y2[1] (analytic) = 1.0183754464286864377196569727608 y2[1] (numeric) = 1.031709563209224486374660013089 absolute error = 0.0133341167805380486550030403282 relative error = 1.3093517550230718405572029005868 % h = 0.001 y1[1] (analytic) = 1.0183754464286864377196569727608 y1[1] (numeric) = 1.0183754464286864421429362971562 absolute error = 4.4232793243954e-18 relative error = 4.3434661940321516254670190896853e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=331.8MB, alloc=4.3MB, time=22.75 NO POLE NO POLE x[1] = 0.193 y2[1] (analytic) = 1.0185667597335383022282225208382 y2[1] (numeric) = 1.0320916990491177847381371152341 absolute error = 0.0135249393155794825099145943959 relative error = 1.3278402408417164682812043777351 % h = 0.001 y1[1] (analytic) = 1.0185667597335383022282225208382 y1[1] (numeric) = 1.0185667597335383066992178865856 absolute error = 4.4709953657474e-18 relative error = 4.3894966363491311321460127117617e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=335.6MB, alloc=4.3MB, time=23.02 NO POLE NO POLE x[1] = 0.194 y2[1] (analytic) = 1.0187590544715486470978565056148 y2[1] (numeric) = 1.0324757978512028018302254535768 absolute error = 0.013716743379654154732368947962 relative error = 1.3464168312859131046448982580866 % h = 0.001 y1[1] (analytic) = 1.0187590544715486470978565056148 y1[1] (numeric) = 1.0187590544715486516165586034142 absolute error = 4.5187020977994e-18 relative error = 4.4354963796060139682344786737381e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=339.5MB, alloc=4.3MB, time=23.28 x[1] = 0.195 y2[1] (analytic) = 1.0189523304504227503427750241667 y2[1] (numeric) = 1.0328618592313807675741403761725 absolute error = 0.0139095287809580172313653520058 relative error = 1.3650814042310870446716496807116 % h = 0.001 y1[1] (analytic) = 1.0189523304504227503427750241667 y1[1] (numeric) = 1.0189523304504227549091744970114 absolute error = 4.5663994728447e-18 relative error = 4.4814652622916580317285164102868e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.196 y2[1] (analytic) = 1.0191465874768846491952058675394 y2[1] (numeric) = 1.0332498828035903339636967482106 absolute error = 0.0141032953267056847684908806712 relative error = 1.3838338370559046604747421825386 % h = 0.001 y1[1] (analytic) = 1.0191465874768846491952058675394 y1[1] (numeric) = 1.0191465874768846538092933107255 absolute error = 4.6140874431861e-18 relative error = 4.5274031232437919647437379615056e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=343.3MB, alloc=4.3MB, time=23.54 NO POLE NO POLE x[1] = 0.197 y2[1] (analytic) = 1.019341825356677333381335182191 y2[1] (numeric) = 1.0336398681798079611246247864221 absolute error = 0.0142980428231306277432896042311 relative error = 1.4026740066441998002346210120093 % h = 0.001 y1[1] (analytic) = 1.019341825356677333381335182191 y1[1] (numeric) = 1.0193418253566773380431011433264 absolute error = 4.6617659611354e-18 relative error = 4.5733098016499068457441038487099e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=347.1MB, alloc=4.3MB, time=23.80 NO POLE NO POLE x[1] = 0.198 y2[1] (analytic) = 1.0195380438945629393783015557216 y2[1] (numeric) = 1.0340318149700483053380775980552 absolute error = 0.0144937710754853659597760423336 relative error = 1.421601789386906007428111653796 % h = 0.001 y1[1] (analytic) = 1.0195380438945629393783015557216 y1[1] (numeric) = 1.0195380438945629440877365347359 absolute error = 4.7094349790143e-18 relative error = 4.6191851370495138711252819424346e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=350.9MB, alloc=4.3MB, time=24.07 NO POLE NO POLE x[1] = 0.199 y2[1] (analytic) = 1.0197352428943229456520432699139 y2[1] (numeric) = 1.0344257227823646090259424009447 absolute error = 0.0146904798880416633738991310308 relative error = 1.4406170611839945055809430294426 % h = 0.001 y1[1] (analytic) = 1.0197352428943229456520432699139 y1[1] (numeric) = 1.0197352428943229504091377190676 absolute error = 4.7570944491537e-18 relative error = 4.6650289693348242156686829236581e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=354.7MB, alloc=4.3MB, time=24.33 NO POLE NO POLE x[1] = 0.2 y2[1] (analytic) = 1.0199334221587583688758034832518 y2[1] (numeric) = 1.034821591222849092697565439396 absolute error = 0.0148881690640907238217619561442 relative error = 1.4597196974464178937296565486709 % h = 0.001 y1[1] (analytic) = 1.0199334221587583688758034832518 y1[1] (numeric) = 1.0199334221587583736805478071459 absolute error = 4.8047443238941e-18 relative error = 4.7108411387525004007355888001232e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=358.5MB, alloc=4.3MB, time=24.59 NO POLE NO POLE x[1] = 0.201 y2[1] (analytic) = 1.020132581489689961129097124429 y2[1] (numeric) = 1.0352194198956333488574986491919 absolute error = 0.0150868384059433877284015247629 relative error = 1.4789095730980594976961274982649 % h = 0.001 y1[1] (analytic) = 1.020132581489689961129097124429 y1[1] (numeric) = 1.0201325814896899659814816800147 absolute error = 4.8523845555857e-18 relative error = 4.7566214859051053183265605072761e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=362.4MB, alloc=4.3MB, time=24.86 NO POLE NO POLE x[1] = 0.202 y2[1] (analytic) = 1.0203327206879584080769422978976 y2[1] (numeric) = 1.0356192084028887378738741640076 absolute error = 0.01528648771493032979693186611 relative error = 1.4981865625776883221974630586548 % h = 0.001 y1[1] (analytic) = 1.0203327206879584080769422978976 y1[1] (numeric) = 1.0203327206879584129769573944857 absolute error = 4.9000150965881e-18 relative error = 4.8023698517521512804096771715860e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=366.2MB, alloc=4.3MB, time=25.12 NO POLE NO POLE x[1] = 0.203 y2[1] (analytic) = 1.0205338395534245281291580222406 y2[1] (numeric) = 1.0360209563448267858070107948931 absolute error = 0.0154871167914022576778527726525 relative error = 1.5175505398409195487359702753853 % h = 0.001 y1[1] (analytic) = 1.0205338395534245281291580222406 y1[1] (numeric) = 1.0205338395534245330767939215116 absolute error = 4.9476358992710e-18 relative error = 4.8480860776121214439886604420036e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=370.0MB, alloc=4.3MB, time=25.38 NO POLE NO POLE x[1] = 0.204 y2[1] (analytic) = 1.020735937884969472579529142089 y2[1] (numeric) = 1.0364246633196995841978546542492 absolute error = 0.0156887254347301116183255121602 relative error = 1.537001378362180524138206179972 % h = 0.001 y1[1] (analytic) = 1.020735937884969472579529142089 y1[1] (numeric) = 1.0207359378849694775747760581024 absolute error = 4.9952469160134e-18 relative error = 4.8937700051630130267524506243702e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=373.8MB, alloc=4.3MB, time=25.65 NO POLE NO POLE x[1] = 0.205 y2[1] (analytic) = 1.0209390154804949267246382744327 y2[1] (numeric) = 1.0368303289238001918158541358903 absolute error = 0.0158913134433052650912158614576 relative error = 1.5565389511366821845388294069411 % h = 0.001 y1[1] (analytic) = 1.0209390154804949267246382744327 y1[1] (numeric) = 1.0209390154804949317674863736371 absolute error = 5.0428480992044e-18 relative error = 4.9394214764444407481221822483032e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=377.6MB, alloc=4.3MB, time=25.91 NO POLE NO POLE x[1] = 0.206 y2[1] (analytic) = 1.0211430721369233119621636705127 y2[1] (numeric) = 1.0372379527514630383658675033521 absolute error = 0.0160948806145397264037038328394 relative error = 1.5761631306823958595340663979903 % h = 0.001 y1[1] (analytic) = 1.0211430721369233119621636705127 y1[1] (numeric) = 1.0211430721369233170526030717555 absolute error = 5.0904394012428e-18 relative error = 4.9850403338585562741036903044187e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=381.4MB, alloc=4.3MB, time=26.17 NO POLE NO POLE x[1] = 0.207 y2[1] (analytic) = 1.0213481076501979888684408950116 y2[1] (numeric) = 1.03764753439506433015369937957 absolute error = 0.0162994267448663412852584845584 relative error = 1.5958737890420354011610837879578 % h = 0.001 y1[1] (analytic) = 1.0213481076501979888684408950116 y1[1] (numeric) = 1.021348107650197994006461669549 absolute error = 5.1380207745374e-18 relative error = 5.0306264201716455708435084262467e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=385.2MB, alloc=4.3MB, time=26.43 NO POLE NO POLE x[1] = 0.208 y2[1] (analytic) = 1.0215541218152834612550852449989 y2[1] (numeric) = 1.0380590734450224577098604724264 absolute error = 0.0165049516297389964547752274275 relative error = 1.6156707977850445822934198513874 % h = 0.001 y1[1] (analytic) = 1.0215541218152834612550852449989 y1[1] (numeric) = 1.0215541218152834664406774165056 absolute error = 5.1855921715067e-18 relative error = 5.0761795785151306176129698739295e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=389.1MB, alloc=4.3MB, time=26.69 NO POLE NO POLE x[1] = 0.209 y2[1] (analytic) = 1.0217611144261655812044708520248 y2[1] (numeric) = 1.0384725694897984053711429124401 absolute error = 0.0167114550636328241666720604153 relative error = 1.6355540280095897089788698339441 % h = 0.001 y1[1] (analytic) = 1.0217611144261655812044708520248 y1[1] (numeric) = 1.021761114426165586437624396604 absolute error = 5.2331535445792e-18 relative error = 5.1216996523871507316784553025777e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.21 memory used=392.9MB, alloc=4.3MB, time=26.96 y2[1] (analytic) = 1.0219690852758517550838614319006 y2[1] (numeric) = 1.0388880221158961628196016210575 absolute error = 0.0169189368400444077357401891569 relative error = 1.6555233503445573911848403378353 % h = 0.001 y1[1] (analytic) = 1.0219690852758517550838614319006 y1[1] (numeric) = 1.0219690852758517603645662780945 absolute error = 5.2807048461939e-18 relative error = 5.1671864856543312551246525645520e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.211 y2[1] (analytic) = 1.0221780341563711505379866680538 y2[1] (numeric) = 1.039305430907863138578530170598 absolute error = 0.0171273967514919880405435025442 relative error = 1.6755786349515574163571842711438 % h = 0.001 y1[1] (analytic) = 1.0221780341563711505379866680538 y1[1] (numeric) = 1.0221780341563711558662326968529 absolute error = 5.3282460287991e-18 relative error = 5.2126399225518805249246049871162e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=396.7MB, alloc=4.3MB, time=27.22 NO POLE NO POLE x[1] = 0.212 y2[1] (analytic) = 1.022387960858774904459857235895 y2[1] (numeric) = 1.0397247954482905754650176399122 absolute error = 0.0173368345895156710051604040172 relative error = 1.695719751526930670141897665016 % h = 0.001 y1[1] (analytic) = 1.022387960858774904459857235895 y1[1] (numeric) = 1.0223879608587749098356342807488 absolute error = 5.3757770448538e-18 relative error = 5.2580598076862233305349646800067e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=400.5MB, alloc=4.3MB, time=27.49 NO POLE NO POLE x[1] = 0.213 y2[1] (analytic) = 1.0225988651731363319396104974034 y2[1] (numeric) = 1.0401461153178139679986710132309 absolute error = 0.0175472501446776360590605158275 relative error = 1.7159465693037620485648002236569 % h = 0.001 y1[1] (analytic) = 1.0225988651731363319396104974034 y1[1] (numeric) = 1.0225988651731363373629083442305 absolute error = 5.4232978468271e-18 relative error = 5.3034459860356688498162312543940e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=404.3MB, alloc=4.3MB, time=27.76 NO POLE NO POLE x[1] = 0.214 y2[1] (analytic) = 1.0228107468885511361911779170994 y2[1] (numeric) = 1.0405693900951134817660857135171 absolute error = 0.0177586432065623455749077964177 relative error = 1.7362589570538983059124299793662 % h = 0.001 y1[1] (analytic) = 1.0228107468885511361911779170994 y1[1] (numeric) = 1.0228107468885511416619863042975 absolute error = 5.4708083871981e-18 relative error = 5.3487983029515601028452110133594e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=408.1MB, alloc=4.3MB, time=28.02 NO POLE NO POLE x[1] = 0.215 y2[1] (analytic) = 1.0230236057931376194565642727558 y2[1] (numeric) = 1.0409946193569143747406449058857 absolute error = 0.0179710135637767552840806331299 relative error = 1.7566567830899707825078559131772 % h = 0.001 y1[1] (analytic) = 1.0230236057931376194565642727558 y1[1] (numeric) = 1.0230236057931376249748728912119 absolute error = 5.5183086184561e-18 relative error = 5.3941166041597087073133979304512e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=411.9MB, alloc=4.3MB, time=28.29 NO POLE NO POLE x[1] = 0.216 y2[1] (analytic) = 1.0232374416740368948875277565849 y2[1] (numeric) = 1.0414218026779874205572262513262 absolute error = 0.0181843610039505256696984947413 relative error = 1.7771399152674229565279477717947 % h = 0.001 y1[1] (analytic) = 1.0232374416740368948875277565849 y1[1] (numeric) = 1.023237441674036900453326249686 absolute error = 5.5657984931011e-18 relative error = 5.4394007357621144924640912279224e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=415.8MB, alloc=4.3MB, time=28.55 NO POLE NO POLE x[1] = 0.217 y2[1] (analytic) = 1.0234522543174130994044490852411 y2[1] (numeric) = 1.0418509396311493337413928360575 absolute error = 0.0183986853137362343369437508164 relative error = 1.7977082209865427639638363238446 % h = 0.001 y1[1] (analytic) = 1.0234522543174130994044490852411 y1[1] (numeric) = 1.0234522543174131050177270488842 absolute error = 5.6132779636431e-18 relative error = 5.4846505442375038939562249491229e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=419.6MB, alloc=4.3MB, time=28.82 NO POLE NO POLE x[1] = 0.218 y2[1] (analytic) = 1.023668043508453607532176759785 y2[1] (numeric) = 1.0422820297872631968926430473586 absolute error = 0.0186139862788095893604662875736 relative error = 1.8183615671944996307838465780656 % h = 0.001 y1[1] (analytic) = 1.023668043508453607532176759785 y1[1] (numeric) = 1.0236680435084536131929237423876 absolute error = 5.6607469826026e-18 relative error = 5.5298658764430333456775276721205e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=423.4MB, alloc=4.3MB, time=29.08 NO POLE NO POLE x[1] = 0.219 y2[1] (analytic) = 1.0238848090313692462126346397834 y2[1] (numeric) = 1.042715072715238889821292212662 absolute error = 0.0188302636838696436086575728786 relative error = 1.8390998203873861613180875195843 % h = 0.001 y1[1] (analytic) = 1.0238848090313692462126346397834 y1[1] (numeric) = 1.0238848090313692519208401422942 absolute error = 5.7082055025108e-18 relative error = 5.5750465796156909201659312681854e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=427.2MB, alloc=4.3MB, time=29.34 NO POLE NO POLE x[1] = 0.22 y2[1] (analytic) = 1.0241025506693945105939770189553 y2[1] (numeric) = 1.0431500679820335206385568650625 absolute error = 0.0190475173126390100445798461072 relative error = 1.8599228466122644268461310606084 % h = 0.001 y1[1] (analytic) = 1.0241025506693945105939770189553 y1[1] (numeric) = 1.0241025506693945163496304948643 absolute error = 5.7556534759090e-18 relative error = 5.6201925013729083977962387339646e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=431.0MB, alloc=4.3MB, time=29.61 NO POLE NO POLE x[1] = 0.221 y2[1] (analytic) = 1.0243212682047877807960754132258 y2[1] (numeric) = 1.0435870151526518587994105451946 absolute error = 0.0192657469478640780033351319688 relative error = 1.8808305114692167983338063657046 % h = 0.001 y1[1] (analytic) = 1.0243212682047877807960754132258 y1[1] (numeric) = 1.0243212682047877865991662685751 absolute error = 5.8030908553493e-18 relative error = 5.6653034897144350524264611823284e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=434.8MB, alloc=4.3MB, time=29.87 NO POLE NO POLE x[1] = 0.222 y2[1] (analytic) = 1.0245409614188315396521202957203 y2[1] (numeric) = 1.0440259137901467700977780966574 absolute error = 0.0194849523713152304456578009371 relative error = 1.9018226801134012672320695803469 % h = 0.001 y1[1] (analytic) = 1.0245409614188315396521202957203 y1[1] (numeric) = 1.0245409614188315455026378891146 absolute error = 5.8505175933943e-18 relative error = 5.7103793930232263371872566371674e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=438.6MB, alloc=4.3MB, time=30.13 NO POLE NO POLE x[1] = 0.223 y2[1] (analytic) = 1.024761630091832591426120037115 y2[1] (numeric) = 1.0444667634556196536136334598297 absolute error = 0.0197051333637870621875134227147 relative error = 1.9228992172571111982201792148837 % h = 0.001 y1[1] (analytic) = 1.024761630091832591426120037115 y1[1] (numeric) = 1.0247616300918325973240536797322 absolute error = 5.8979336426172e-18 relative error = 5.7554200600667150868423890062203e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=442.5MB, alloc=4.3MB, time=30.39 NO POLE NO POLE x[1] = 0.224 y2[1] (analytic) = 1.0249832740031222815060783338625 y2[1] (numeric) = 1.044909563708220880611564017014 absolute error = 0.0199262897050985991054856831515 relative error = 1.9440599871718394577470098286105 % h = 0.001 y1[1] (analytic) = 1.0249832740031222815060783338625 y1[1] (numeric) = 1.0249832740031222874514172894646 absolute error = 5.9453389556021e-18 relative error = 5.8004253399982695124774643603679e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.225 y2[1] (analytic) = 1.0252058929310567170726304311345 y2[1] (numeric) = 1.0453543141051502353903625903814 absolute error = 0.0201484211740935183177321592469 relative error = 1.9653048536903468621982669035872 % h = 0.001 y1[1] (analytic) = 1.0252058929310567170726304311345 y1[1] (numeric) = 1.0252058929310567230653639160782 absolute error = 5.9927334849437e-18 relative error = 5.8453950823580573458382045117070e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=446.3MB, alloc=4.3MB, time=30.65 NO POLE NO POLE x[1] = 0.226 y2[1] (analytic) = 1.0254294866530169887429174718627 y2[1] (numeric) = 1.0458010142016573580832062431618 absolute error = 0.0203715275486403693402887712991 relative error = 1.9866336802087348894936194470464 % h = 0.001 y1[1] (analytic) = 1.0254294866530169887429174718627 y1[1] (numeric) = 1.02542948665301699478303465511 absolute error = 6.0401171832473e-18 relative error = 5.8903291370741946893880734578914e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=450.1MB, alloc=4.3MB, time=30.92 NO POLE NO POLE x[1] = 0.227 y2[1] (analytic) = 1.0256540549454093931894773280223 y2[1] (numeric) = 1.0462496635510421894079790839381 absolute error = 0.0205956086056327962185017559158 relative error = 2.0080463296885225978963393344533 % h = 0.001 y1[1] (analytic) = 1.0256540549454093931894773280223 y1[1] (numeric) = 1.0256540549454093992769673311516 absolute error = 6.0874900031293e-18 relative error = 5.9352273544643741137830565320757e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=453.9MB, alloc=4.3MB, time=31.18 NO POLE NO POLE x[1] = 0.228 y2[1] (analytic) = 1.0258795975836656567339292952864 y2[1] (numeric) = 1.0467002617046554173672943237587 absolute error = 0.0208206641209897606333650284723 relative error = 2.0295426646587276957989229928212 % h = 0.001 y1[1] (analytic) = 1.0258795975836656567339292952864 y1[1] (numeric) = 1.0258795975836656628687811925033 absolute error = 6.1348518972169e-18 relative error = 5.9800895852367040348742682803984e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=457.7MB, alloc=4.3MB, time=31.45 NO POLE NO POLE x[1] = 0.229 y2[1] (analytic) = 1.0261061143422431599152290573844 y2[1] (numeric) = 1.0471528082118989258977688860824 absolute error = 0.021046693869655765982539828698 relative error = 2.0511225472179517062313668865633 % h = 0.001 y1[1] (analytic) = 1.0261061143422431599152290573844 y1[1] (numeric) = 1.0261061143422431660974318755325 absolute error = 6.1822028181481e-18 relative error = 6.0249156804908325683029746494696e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=461.5MB, alloc=4.3MB, time=31.71 NO POLE NO POLE x[1] = 0.23 y2[1] (analytic) = 1.0263336049946251630322693519284 y2[1] (numeric) = 1.0476073026202262454681019203201 absolute error = 0.0212736976256010824358325683917 relative error = 2.0727858390364691698242684378451 % h = 0.001 y1[1] (analytic) = 1.0263336049946251630322693519284 y1[1] (numeric) = 1.0263336049946251692618120705006 absolute error = 6.2295427185722e-18 relative error = 6.0697054917195502698755849174400e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=465.3MB, alloc=4.3MB, time=31.98 NO POLE NO POLE x[1] = 0.231 y2[1] (analytic) = 1.0265620693133210326606007951267 y2[1] (numeric) = 1.048063744475143005625506620931 absolute error = 0.0215016751618219729649058258043 relative error = 2.09453240135832082994672339335 % h = 0.001 y1[1] (analytic) = 1.0265620693133210326606007951267 y1[1] (numeric) = 1.0265620693133210389374723462759 absolute error = 6.2768715511492e-18 relative error = 6.1144588708093123908684523728069e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=469.2MB, alloc=4.3MB, time=32.24 NO POLE NO POLE x[1] = 0.232 y2[1] (analytic) = 1.0267915070698664691430463486806 y2[1] (numeric) = 1.0485221333202073894900428056797 absolute error = 0.0217306262503409203469964569991 relative error = 2.1163620950034107437290840175529 % h = 0.001 y1[1] (analytic) = 1.0267915070698664691430463486806 y1[1] (numeric) = 1.0267915070698664754672356172308 absolute error = 6.3241892685502e-18 relative error = 6.1591756700417275102202689194223e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=473.0MB, alloc=4.3MB, time=32.50 NO POLE NO POLE x[1] = 0.233 y2[1] (analytic) = 1.0270219180348237350539819382704 y2[1] (numeric) = 1.0489824686970305901963957587597 absolute error = 0.0219605506622068551424138204893 relative error = 2.138274780369607262673024497576 % h = 0.001 y1[1] (analytic) = 1.0270219180348237350539819382704 y1[1] (numeric) = 1.027021918034823741425477761728 absolute error = 6.3714958234576e-18 relative error = 6.2038557420948425867228324324672e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=476.8MB, alloc=4.3MB, time=32.77 NO POLE NO POLE x[1] = 0.234 y2[1] (analytic) = 1.027253301977781884637054759369 y2[1] (numeric) = 1.049444750145277269282644897042 absolute error = 0.022191448167495384645590137673 relative error = 2.1602703174348478265460251122241 % h = 0.001 y1[1] (analytic) = 1.027253301977781884637054759369 y1[1] (numeric) = 1.0272533019777818910558459279337 absolute error = 6.4187911685647e-18 relative error = 6.2484989400438353327338683890067e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=480.6MB, alloc=4.3MB, time=33.03 NO POLE NO POLE x[1] = 0.235 y2[1] (analytic) = 1.0274856586673569942161098326828 y2[1] (numeric) = 1.049908977202666017025563870719 absolute error = 0.0224233185353090228094540380362 relative error = 2.1823485657592475142543294471985 % h = 0.001 y1[1] (analytic) = 1.0274856586673569942161098326828 y1[1] (numeric) = 1.027485658667357000682185089259 absolute error = 6.4660752565762e-18 relative error = 6.2931051173625746945373840437436e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=484.4MB, alloc=4.3MB, time=33.30 NO POLE NO POLE x[1] = 0.236 y2[1] (analytic) = 1.0277189878711923935790943983139 y2[1] (numeric) = 1.0503751494049698147219917630811 absolute error = 0.0226561615337774211428973647672 relative error = 2.2045093844872112953876435045445 % h = 0.001 y1[1] (analytic) = 1.0277189878711923935790943983139 y1[1] (numeric) = 1.0277189878711924000924424385221 absolute error = 6.5133480402082e-18 relative error = 6.3376741279246858039891339137334e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=488.2MB, alloc=4.3MB, time=33.56 NO POLE NO POLE x[1] = 0.237 y2[1] (analytic) = 1.0279532893559588983347087647578 y2[1] (numeric) = 1.0508432662860164989158131080942 absolute error = 0.0228899769300576005811043433364 relative error = 2.2267526323495499261303261107069 % h = 0.001 y1[1] (analytic) = 1.0279532893559588983347087647578 y1[1] (numeric) = 1.0279532893559589048953182369455 absolute error = 6.5606094721877e-18 relative error = 6.3822058260041201592285711498021e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=492.1MB, alloc=4.3MB, time=33.83 NO POLE NO POLE x[1] = 0.238 y2[1] (analytic) = 1.0281885628873550432415712561047 y2[1] (numeric) = 1.0513133273776892275700824988359 absolute error = 0.0231247644903341843285112427312 relative error = 2.2490781676655994332375606026028 % h = 0.001 y1[1] (analytic) = 1.0281885628873550432415712561047 y1[1] (numeric) = 1.0281885628873550498494307613581 absolute error = 6.6078595052534e-18 relative error = 6.4267000662769824556637884243703e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=495.9MB, alloc=4.3MB, time=34.09 NO POLE NO POLE x[1] = 0.239 y2[1] (analytic) = 1.0284248082301073165096639283 y2[1] (numeric) = 1.0517853322099269481838276147057 absolute error = 0.0233605239798196316741636864057 relative error = 2.2714858483453441297809922737922 % h = 0.001 y1[1] (analytic) = 1.0284248082301073165096639283 y1[1] (numeric) = 1.0284248082301073231647620204551 absolute error = 6.6550980921551e-18 relative error = 6.4711567038219866592035774401001e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.24 y2[1] (analytic) = 1.0286620251479703950738247530366 y2[1] (numeric) = 1.052259280310724867853062550644 absolute error = 0.0235972551627544727792377976074 relative error = 2.2939755318915431063765582801757 % h = 0.001 y1[1] (analytic) = 1.0286620251479703950738247530366 y1[1] (numeric) = 1.0286620251479704017761499386911 absolute error = 6.7023251856545e-18 relative error = 6.5155755941222654789889399675776e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=499.7MB, alloc=4.3MB, time=34.35 NO POLE NO POLE x[1] = 0.241 y2[1] (analytic) = 1.0289002134037273808390509958078 y2[1] (numeric) = 1.0527351712061349252755413873866 absolute error = 0.0238349578024075444364903915788 relative error = 2.3165470754018601416177203039676 % h = 0.001 y1[1] (analytic) = 1.0289002134037273808390509958078 y1[1] (numeric) = 1.0289002134037273875885917343321 absolute error = 6.7495407385243e-18 relative error = 6.5599565930655181099314186780786e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=503.5MB, alloc=4.3MB, time=34.62 NO POLE NO POLE x[1] = 0.242 y2[1] (analytic) = 1.0291393727591900378973775428355 y2[1] (numeric) = 1.0532130044202662646987799980404 absolute error = 0.0240736316610762268014024552049 relative error = 2.3392003355709969754500288044917 % h = 0.001 y1[1] (analytic) = 1.0291393727591900378973775428355 y1[1] (numeric) = 1.0291393727591900446941222463844 absolute error = 6.7967447035489e-18 relative error = 6.6042995569457054734825130624137e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=507.3MB, alloc=4.3MB, time=34.88 NO POLE NO POLE x[1] = 0.243 y2[1] (analytic) = 1.0293795029751990307160929600163 y2[1] (numeric) = 1.0536927794752857118108721429973 absolute error = 0.024313276500086681094779182981 relative error = 2.3619351686928298892378945737394 % h = 0.001 y1[1] (analytic) = 1.0293795029751990307160929600163 y1[1] (numeric) = 1.0293795029751990375600299935408 absolute error = 6.8439370335245e-18 relative error = 6.6486043424641532152970258106991e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=511.1MB, alloc=4.3MB, time=35.15 NO POLE NO POLE x[1] = 0.244 y2[1] (analytic) = 1.0296206038116241632970550956892 y2[1] (numeric) = 1.0541744958914182515736239624106 absolute error = 0.0245538920797940882765688667214 relative error = 2.3847514306625495362916118772255 % h = 0.001 y1[1] (analytic) = 1.0296206038116241632970550956892 y1[1] (numeric) = 1.0296206038116241701881727769479 absolute error = 6.8911176812587e-18 relative error = 6.6928708067301605185850649924486e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=514.9MB, alloc=4.3MB, time=35.41 NO POLE NO POLE x[1] = 0.245 y2[1] (analytic) = 1.0298626750273646193068670679285 y2[1] (numeric) = 1.054658153186947507997529033139 absolute error = 0.0247954781595828886906619652105 relative error = 2.4076489769788039666420608915267 % h = 0.001 y1[1] (analytic) = 1.0298626750273646193068670679285 y1[1] (numeric) = 1.0298626750273646262451536674994 absolute error = 6.9382865995709e-18 relative error = 6.7370988072623778271277933637098e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=518.8MB, alloc=4.3MB, time=35.67 NO POLE NO POLE x[1] = 0.246 y2[1] (analytic) = 1.0301057163803492031776735062069 y2[1] (numeric) = 1.055143750878216225858104215223 absolute error = 0.0250380344978670226804307090161 relative error = 2.4306276627458447898721085293899 % h = 0.001 y1[1] (analytic) = 1.0301057163803492031776735062069 y1[1] (numeric) = 1.0301057163803492101631172474991 absolute error = 6.9854437412922e-18 relative error = 6.7812882019896901881234324412615e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=522.6MB, alloc=4.3MB, time=35.94 NO POLE NO POLE x[1] = 0.247 y2[1] (analytic) = 1.0303497276275365821783359466519 y2[1] (numeric) = 1.0556312884796267543531045715981 absolute error = 0.0252815608520901721747686249462 relative error = 2.4536873426756764198375190373912 % h = 0.001 y1[1] (analytic) = 1.0303497276275365821783359466519 y1[1] (numeric) = 1.0303497276275365892109250059172 absolute error = 7.0325890592653e-18 relative error = 6.8254388492520922778612117369992e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=526.4MB, alloc=4.3MB, time=36.20 NO POLE NO POLE x[1] = 0.248 y2[1] (analytic) = 1.0305947085249155294557453097401 y2[1] (numeric) = 1.0561207655036415327001337038703 absolute error = 0.0255260569787260032443883941302 relative error = 2.4768278710902083451361718107422 % h = 0.001 y1[1] (analytic) = 1.0305947085249155294557453097401 y1[1] (numeric) = 1.0305947085249155365354678160852 absolute error = 7.0797225063451e-18 relative error = 6.8695506078022343246715499072357e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=530.2MB, alloc=4.3MB, time=36.47 NO POLE NO POLE x[1] = 0.249 y2[1] (analytic) = 1.0308406588275051680460284191387 y2[1] (numeric) = 1.0566121814607835776741639065835 absolute error = 0.0257715226332784096281354874448 relative error = 2.5000491019234103692125564335678 % h = 0.001 y1[1] (analytic) = 1.0308406588275051680460284191387 y1[1] (numeric) = 1.0308406588275051751728724545367 absolute error = 7.1268440353980e-18 relative error = 6.9136233368056976259367308055659e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=534.0MB, alloc=4.3MB, time=36.73 NO POLE NO POLE x[1] = 0.25 y2[1] (analytic) = 1.0310875782893552158554045505058 y2[1] (numeric) = 1.0571055358596369730844786025004 absolute error = 0.0260179575702817572290740519946 relative error = 2.5233508887234707640148666481707 % h = 0.001 y1[1] (analytic) = 1.0310875782893552158554045505058 y1[1] (numeric) = 1.0310875782893552230293581498084 absolute error = 7.1739535993026e-18 relative error = 6.9576568958426203511644038180466e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=537.8MB, alloc=4.3MB, time=37.00 NO POLE NO POLE x[1] = 0.251 y2[1] (analytic) = 1.0313354666635462316104470294153 y2[1] (numeric) = 1.0576008282068473611905475819937 absolute error = 0.0262653615433011295801005525784 relative error = 2.5467330846549572811545382966813 % h = 0.001 y1[1] (analytic) = 1.0313354666635462316104470294153 y1[1] (numeric) = 1.0313354666635462388314981803645 absolute error = 7.2210511509492e-18 relative error = 7.0016511449081503493502713035720e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=541.6MB, alloc=4.3MB, time=37.26 NO POLE NO POLE x[1] = 0.252 y2[1] (analytic) = 1.0315843237021898617775039281638 y2[1] (numeric) = 1.0580980580071224360563436307146 absolute error = 0.0265137343049325742788397025508 relative error = 2.5701955425009809645527636704629 % h = 0.001 y1[1] (analytic) = 1.0315843237021898617775039281638 y1[1] (numeric) = 1.0315843237021898690456405714042 absolute error = 7.2681366432404e-18 relative error = 7.0456059444139564883182156200058e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=545.5MB, alloc=4.3MB, time=37.53 NO POLE NO POLE x[1] = 0.253 y2[1] (analytic) = 1.0318341491564290884510309420608 y2[1] (numeric) = 1.0585972247632324388426071912629 absolute error = 0.0267630756068033503915762492021 relative error = 2.5937381146653627085953584399141 % h = 0.001 y1[1] (analytic) = 1.0318341491564290884510309420608 y1[1] (numeric) = 1.0318341491564290957662409711514 absolute error = 7.3152100290906e-18 relative error = 7.0895211551886645962708269736503e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=549.3MB, alloc=4.3MB, time=37.79 NO POLE NO POLE x[1] = 0.254 y2[1] (analytic) = 1.0320849427764384782105885568886 y2[1] (numeric) = 1.0590983279760106550365637666342 absolute error = 0.0270133851995721768259752097456 relative error = 2.6173606531748025058563496086287 % h = 0.001 y1[1] (analytic) = 1.0320849427764384782105885568886 y1[1] (numeric) = 1.032084942776438485572859818315 absolute error = 7.3622712614264e-18 relative error = 7.1333966384791576288172557333442e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.255 y2[1] (analytic) = 1.0323367043114244319462546505563 y2[1] (numeric) = 1.05960136714435391361859683577 absolute error = 0.0272646628329294816723421852137 relative error = 2.641063009681051328491785820094 % h = 0.001 y1[1] (analytic) = 1.0323367043114244319462546505563 y1[1] (numeric) = 1.0323367043114244393555749437431 absolute error = 7.4093202931868e-18 relative error = 7.1772322559516730325844487865970e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=553.1MB, alloc=4.3MB, time=38.05 NO POLE NO POLE x[1] = 0.256 y2[1] (analytic) = 1.0325894335096254356522027035565 y2[1] (numeric) = 1.0601063417652230881653771145778 absolute error = 0.0275169082555976525131744110213 relative error = 2.6648450354630855874485368150152 % h = 0.001 y1[1] (analytic) = 1.0325894335096254356522027035565 y1[1] (numeric) = 1.0325894335096254431085597808791 absolute error = 7.4563570773226e-18 relative error = 7.2210278696921165627030563284795e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=556.9MB, alloc=4.3MB, time=38.31 NO POLE NO POLE x[1] = 0.257 y2[1] (analytic) = 1.032843130118312312188194824666 y2[1] (numeric) = 1.0606132513336435998889470593345 absolute error = 0.0277701212153312877007522346685 relative error = 2.6887065814292841136782387613746 % h = 0.001 y1[1] (analytic) = 1.032843130118312312188194824666 y1[1] (numeric) = 1.0328431301183123196915763914629 absolute error = 7.5033815667969e-18 relative error = 7.2647833422074334611076482992214e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=560.7MB, alloc=4.3MB, time=38.57 NO POLE NO POLE x[1] = 0.258 y2[1] (analytic) = 1.0330977938837884740087378304194 y2[1] (numeric) = 1.0611220953427059226112575734308 absolute error = 0.0280243014589174486025197430114 relative error = 2.7126474981196076055940483187994 % h = 0.001 y1[1] (analytic) = 1.0330977938837884740087378304194 y1[1] (numeric) = 1.0330977938837884815591315450048 absolute error = 7.5503937145854e-18 relative error = 7.3084985364267768125957898423520e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=564.5MB, alloc=4.3MB, time=38.84 NO POLE NO POLE x[1] = 0.259 y2[1] (analytic) = 1.0333534245513901768596496492213 y2[1] (numeric) = 1.0616328732835660896736519429608 absolute error = 0.0282794487321759128140022937395 relative error = 2.7366676357077804870574823135734 % h = 0.001 y1[1] (analytic) = 1.0333534245513901768596496492213 y1[1] (numeric) = 1.0333534245513901844570431228972 absolute error = 7.5973934736759e-18 relative error = 7.3521733157018927680568043206394e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=568.3MB, alloc=4.3MB, time=39.10 NO POLE NO POLE x[1] = 0.26 y2[1] (analytic) = 1.0336100218654867744417823535499 y2[1] (numeric) = 1.0621455846454462027807900917165 absolute error = 0.0285355627799594283390077381666 relative error = 2.7607668440034751202343333473861 % h = 0.001 y1[1] (analytic) = 1.0336100218654867744417823535499 y1[1] (numeric) = 1.0336100218654867820861631506185 absolute error = 7.6443807970686e-18 relative error = 7.3958075438082719444891854208751e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=572.2MB, alloc=4.3MB, time=39.36 NO POLE NO POLE x[1] = 0.261 y2[1] (analytic) = 1.0338675855694809740416471565521 y2[1] (numeric) = 1.0626602289156349427785043117043 absolute error = 0.0287926433461539687368571551522 relative error = 2.7849449724544983177124559943631 % h = 0.001 y1[1] (analytic) = 1.0338675855694809740416471565521 y1[1] (numeric) = 1.0338675855694809817330027943283 absolute error = 7.6913556377762e-18 relative error = 7.4394010849460984153579099157882e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=576.0MB, alloc=4.3MB, time=39.62 NO POLE NO POLE x[1] = 0.262 y2[1] (analytic) = 1.0341261154058090931286857424248 y2[1] (numeric) = 1.0631768055794880823650756913709 absolute error = 0.0290506901736789892363899489461 relative error = 2.8092018701489800983301048129418 % h = 0.001 y1[1] (analytic) = 1.0341261154058090931286857424248 y1[1] (numeric) = 1.0341261154058091008670036912488 absolute error = 7.7383179488240e-18 relative error = 7.4829538037411900220505873257500e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=579.8MB, alloc=4.3MB, time=39.88 NO POLE NO POLE x[1] = 0.263 y2[1] (analytic) = 1.0343856111159413169189313333344 y2[1] (numeric) = 1.0636953141204290007354185303047 absolute error = 0.0293097030044876838164871969703 relative error = 2.8335373858175646312214654634914 % h = 0.001 y1[1] (analytic) = 1.0343856111159413169189313333344 y1[1] (numeric) = 1.0343856111159413247041990165839 absolute error = 7.7852676832495e-18 relative error = 7.5264655652454466235034025606692e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=583.6MB, alloc=4.3MB, time=40.14 NO POLE NO POLE x[1] = 0.264 y2[1] (analytic) = 1.0346460724403819569048019292326 y2[1] (numeric) = 1.0642157540199492001576580962713 absolute error = 0.0295696815795672432528561670387 relative error = 2.8579513678356033126460449359694 % h = 0.001 y1[1] (analytic) = 1.0346460724403819569048019292326 y1[1] (numeric) = 1.0346460724403819647370067233356 absolute error = 7.8322047941030e-18 relative error = 7.5699362349382569029975711117256e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=587.4MB, alloc=4.3MB, time=40.41 NO POLE NO POLE x[1] = 0.265 y2[1] (analytic) = 1.0349074991186697103507671907983 y2[1] (numeric) = 1.0647381247576088244815851480481 absolute error = 0.0298306256389391141308179572498 relative error = 2.882443664225349920230667309681 % h = 0.001 y1[1] (analytic) = 1.0349074991186697103507671907983 y1[1] (numeric) = 1.0349074991186697182298964252458 absolute error = 7.8791292344475e-18 relative error = 7.6133656787272193687244398030589e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=591.2MB, alloc=4.3MB, time=40.67 NO POLE NO POLE x[1] = 0.266 y2[1] (analytic) = 1.0351698908893779207546294698607 y2[1] (numeric) = 1.0652624258110371795784687156469 absolute error = 0.0300925349216592588238392457862 relative error = 2.9070141226581577893169485509923 % h = 0.001 y1[1] (analytic) = 1.0351698908893779207546294698607 y1[1] (numeric) = 1.0351698908893779286806704272191 absolute error = 7.9260409573584e-18 relative error = 7.6567537629486617492115560989847e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=595.1MB, alloc=4.3MB, time=40.93 NO POLE NO POLE x[1] = 0.267 y2[1] (analytic) = 1.0354332474901148392741585260421 y2[1] (numeric) = 1.0657886566559332557117066981552 absolute error = 0.0303554091658184164375481721131 relative error = 2.9316625904566789561732884684724 % h = 0.001 y1[1] (analytic) = 1.0354332474901148392741585260421 y1[1] (numeric) = 1.0354332474901148472470984419663 absolute error = 7.9729399159242e-18 relative error = 7.7001003543691180629276129381290e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=598.9MB, alloc=4.3MB, time=41.19 NO POLE NO POLE x[1] = 0.268 y2[1] (analytic) = 1.0356975686575238871188185030108 y2[1] (numeric) = 1.0663168167660662518377919085891 absolute error = 0.0306192481085423647189734055783 relative error = 2.9563889145970652128986108569314 % h = 0.001 y1[1] (analytic) = 1.0356975686575238871188185030108 y1[1] (numeric) = 1.0356975686575238951386445662566 absolute error = 8.0198260632458e-18 relative error = 7.7434053201854443616257745563918e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=602.7MB, alloc=4.3MB, time=41.46 NO POLE NO POLE x[1] = 0.269 y2[1] (analytic) = 1.0359628541272839189063247726353 y2[1] (numeric) = 1.066846905613276101837069264835 absolute error = 0.0308840514859921829307444921997 relative error = 2.9811929417111710189152947497827 % h = 0.001 y1[1] (analytic) = 1.0359628541272839189063247726353 y1[1] (numeric) = 1.0359628541272839269730241250723 absolute error = 8.0666993524370e-18 relative error = 7.7866685280260853006687983751577e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.27 y2[1] (analytic) = 1.0362291036341094869837672905078 y2[1] (numeric) = 1.0673789226674740026737578959674 absolute error = 0.0311498190333645156899906054596 relative error = 3.006074518088758214020961143343 % h = 0.001 y1[1] (analytic) = 1.0362291036341094869837672905078 y1[1] (numeric) = 1.0362291036341094950973270271325 absolute error = 8.1135597366247e-18 relative error = 7.8298898459520419073232128732926e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=606.5MB, alloc=4.3MB, time=41.72 NO POLE NO POLE x[1] = 0.271 y2[1] (analytic) = 1.0364963169117511067130361417346 y2[1] (numeric) = 1.0679128673966429444847100039643 absolute error = 0.0314165504848918377716738622297 relative error = 3.0310334896797024780430010500045 % h = 0.001 y1[1] (analytic) = 1.0364963169117511067130361417346 y1[1] (numeric) = 1.036496316911751114873443310683 absolute error = 8.1604071689484e-18 relative error = 7.8730691424571551454857601187483e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=610.3MB, alloc=4.3MB, time=41.98 NO POLE NO POLE x[1] = 0.272 y2[1] (analytic) = 1.0367644936929955227202839915894 y2[1] (numeric) = 1.0684487392668382425963763921056 absolute error = 0.0316842455738427198760924005162 relative error = 3.0560697020962014822159426785397 % h = 0.001 y1[1] (analytic) = 1.0367644936929955227202839915894 y1[1] (numeric) = 1.03676449369299553092752559415 absolute error = 8.2072416025606e-18 relative error = 7.9162062864692497590642738803804e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=614.1MB, alloc=4.3MB, time=42.24 NO POLE NO POLE x[1] = 0.273 y2[1] (analytic) = 1.0370336337096659761091591915901 y2[1] (numeric) = 1.0689865377421880714694466431335 absolute error = 0.0319529040325220953602874515434 relative error = 3.0811830006149846774799482395214 % h = 0.001 y1[1] (analytic) = 1.0370336337096659761091591915901 y1[1] (numeric) = 1.0370336337096659843632221822172 absolute error = 8.2540629906271e-18 relative error = 7.9593011473511725362896493911713e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=617.9MB, alloc=4.3MB, time=42.51 NO POLE NO POLE x[1] = 0.274 y2[1] (analytic) = 1.0373037366926224726375423277883 y2[1] (numeric) = 1.0695262622848940005706300025788 absolute error = 0.0322225255922715279330876747905 relative error = 3.1063732301795246649788945536579 % h = 0.001 y1[1] (analytic) = 1.0373037366926224726375423277883 y1[1] (numeric) = 1.0373037366926224809384136141146 absolute error = 8.3008712863263e-18 relative error = 8.0023535949008575306816809956050e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=621.8MB, alloc=4.3MB, time=42.77 NO POLE NO POLE x[1] = 0.275 y2[1] (analytic) = 1.0375748023717620518575180345561 y2[1] (numeric) = 1.0700679123552315321710410955175 absolute error = 0.0324931099834694803135230609614 relative error = 3.1316402354022500941186164344964 % h = 0.001 y1[1] (analytic) = 1.0375748023717620518575180345561 y1[1] (numeric) = 1.0375748023717620602051844774061 absolute error = 8.3476664428500e-18 relative error = 8.0453634993528294623533182633784e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=625.6MB, alloc=4.3MB, time=43.03 NO POLE NO POLE x[1] = 0.276 y2[1] (analytic) = 1.0378468304760190572183129339225 y2[1] (numeric) = 1.0706114874115506410706526784159 absolute error = 0.0327646569355315838523397444934 relative error = 3.1569838605667600336299677705234 % h = 0.001 y1[1] (analytic) = 1.0378468304760190572183129339225 y1[1] (numeric) = 1.0378468304760190656127613473255 absolute error = 8.3944484134030e-18 relative error = 8.0883307313785411193858725124318e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=629.4MB, alloc=4.3MB, time=43.30 NO POLE NO POLE x[1] = 0.277 y2[1] (analytic) = 1.0381198207333654071319295975428 y2[1] (numeric) = 1.0711569869102763162482757016575 absolute error = 0.0330371661769109091163461041147 relative error = 3.1824039496300397611673723080463 % h = 0.001 y1[1] (analytic) = 1.0381198207333654071319295975428 y1[1] (numeric) = 1.0381198207333654155731467487462 absolute error = 8.4412171512034e-18 relative error = 8.1312551620873771079355622905113e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=633.2MB, alloc=4.3MB, time=43.56 NO POLE NO POLE x[1] = 0.278 y2[1] (analytic) = 1.0383937728708108670012054656899 y2[1] (numeric) = 1.0717044103059091044365250328159 absolute error = 0.033310637435098237435319567126 relative error = 3.2079003462246779170614842102924 % h = 0.001 y1[1] (analytic) = 1.0383937728708108670012054656899 y1[1] (numeric) = 1.0383937728708108754891780751723 absolute error = 8.4879726094824e-18 relative error = 8.1741366630271670827037396241867e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=637.0MB, alloc=4.3MB, time=43.82 NO POLE NO POLE x[1] = 0.279 y2[1] (analytic) = 1.0386686866144033222100246952314 y2[1] (numeric) = 1.0722537570510256556212272657535 absolute error = 0.0335850704366223334112025705221 relative error = 3.2334728936610849679344473342067 % h = 0.001 y1[1] (analytic) = 1.0386686866144033222100246952314 y1[1] (numeric) = 1.038668686614403330744739436716 absolute error = 8.5347147414846e-18 relative error = 8.2169751061851721177649518657992e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=640.8MB, alloc=4.3MB, time=44.08 NO POLE NO POLE x[1] = 0.28 y2[1] (analytic) = 1.0389445616892290520754099464035 y2[1] (numeric) = 1.0728050265962792704647251161843 absolute error = 0.0338604649070502183893151697808 relative error = 3.2591214349297129259780215344382 % h = 0.001 y1[1] (analytic) = 1.0389445616892290520754099464035 y1[1] (numeric) = 1.0389445616892290606568534468713 absolute error = 8.5814435004678e-18 relative error = 8.2597703639885808128963164830972e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=644.6MB, alloc=4.3MB, time=44.34 NO POLE NO POLE x[1] = 0.281 y2[1] (analytic) = 1.0392213978194130047612201563121 y2[1] (numeric) = 1.0733582183904004496525309804407 absolute error = 0.0341368205709874448913108241286 relative error = 3.2848458127032762697885238028673 % h = 0.001 y1[1] (analytic) = 1.0392213978194130047612201563121 y1[1] (numeric) = 1.0392213978194130133893789960154 absolute error = 8.6281588397033e-18 relative error = 8.3025223093054782891801192882212e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=648.5MB, alloc=4.3MB, time=44.61 NO POLE NO POLE x[1] = 0.282 y2[1] (analytic) = 1.0394991947281190731531793854871 y2[1] (numeric) = 1.0739133318801974451627803108379 absolute error = 0.0344141371520783720096009253508 relative error = 3.310645869338974012748101230674 % h = 0.001 y1[1] (analytic) = 1.0394991947281190731531793854871 y1[1] (numeric) = 1.0394991947281190818280400979629 absolute error = 8.6748607124758e-18 relative error = 8.3452308154454213779876469785000e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=652.3MB, alloc=4.3MB, time=44.87 NO POLE NO POLE x[1] = 0.283 y2[1] (analytic) = 1.0397779521375503716949608624835 y2[1] (numeric) = 1.0744703665105568134579335382276 absolute error = 0.0346924143730064417629726757441 relative error = 3.3365214468807128650393011071084 % h = 0.001 y1[1] (analytic) = 1.0397779521375503716949608624835 y1[1] (numeric) = 1.0397779521375503804165099345669 absolute error = 8.7215490720834e-18 relative error = 8.3878957561601015954237056384795e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=656.1MB, alloc=4.3MB, time=45.14 x[1] = 0.284 y2[1] (analytic) = 1.0400576697689495141850493904688 y2[1] (numeric) = 1.0750293217244439705981733500856 absolute error = 0.0349716519554944564131239596168 relative error = 3.3624723870613314354792203358884 % h = 0.001 y1[1] (analytic) = 1.0400576697689495141850493904688 y1[1] (numeric) = 1.0400576697689495229532732623064 absolute error = 8.7682238718376e-18 relative error = 8.4305170056439995772784876554804e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.285 y2[1] (analytic) = 1.040338347342598892534104318956 y2[1] (numeric) = 1.0755901969629037492759422107819 absolute error = 0.0352518496203048567418378918259 relative error = 3.3884985313048254194606910700403 % h = 0.001 y1[1] (analytic) = 1.040338347342598892534104318956 y1[1] (numeric) = 1.0403383473425989013489893840199 absolute error = 8.8148850650639e-18 relative error = 8.4730944385356077132287255391897e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=659.9MB, alloc=4.3MB, time=45.40 NO POLE NO POLE x[1] = 0.286 y2[1] (analytic) = 1.0406199845778209564825443233454 y2[1] (numeric) = 1.0761529916650609577710630895424 absolute error = 0.035533007087240001288518766197 relative error = 3.4145997207285737193909812757456 % h = 0.001 y1[1] (analytic) = 1.0406199845778209564825443233454 y1[1] (numeric) = 1.0406199845778209653440769284462 absolute error = 8.8615326051008e-18 relative error = 8.5156279299171057669077293327371e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=663.7MB, alloc=4.3MB, time=45.67 NO POLE NO POLE x[1] = 0.287 y2[1] (analytic) = 1.0409025811929784942780742747098 y2[1] (numeric) = 1.0767177052681209408258844410283 absolute error = 0.0358151240751424465478101663185 relative error = 3.440775796145565444123346999091 % h = 0.001 y1[1] (analytic) = 1.0409025811929784942780742747098 y1[1] (numeric) = 1.0409025811929785031862407200108 absolute error = 8.9081664453010e-18 relative error = 8.5581173553161430761367624458006e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=667.5MB, alloc=4.3MB, time=45.93 NO POLE NO POLE x[1] = 0.288 y2[1] (analytic) = 1.0411861369054749143128735223236 y2[1] (numeric) = 1.0772843372073701424398885634346 absolute error = 0.036098200301895228127015041111 relative error = 3.4670265980666277339834565120204 % h = 0.001 y1[1] (analytic) = 1.0411861369054749143128735223236 y1[1] (numeric) = 1.0411861369054749232676600613541 absolute error = 8.9547865390305e-18 relative error = 8.6005625907055934186376328086465e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=671.3MB, alloc=4.3MB, time=46.19 NO POLE NO POLE x[1] = 0.289 y2[1] (analytic) = 1.0414706514317545277201639517677 y2[1] (numeric) = 1.0778528869161766705832005395465 absolute error = 0.0363822354844221428630365877788 relative error = 3.4933519667026543581012042734918 % h = 0.001 y1[1] (analytic) = 1.0414706514317545277201639517677 y1[1] (numeric) = 1.0414706514317545367215567914371 absolute error = 9.0013928396694e-18 relative error = 8.6429635125049350723910341036624e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=675.2MB, alloc=4.3MB, time=46.47 NO POLE NO POLE x[1] = 0.29 y2[1] (analytic) = 1.0417561244873028319298752220681 y2[1] (numeric) = 1.0784233538259908638284330472913 absolute error = 0.0366672293386880318985578252232 relative error = 3.5197517419668350308687336989264 % h = 0.001 y1[1] (analytic) = 1.0417561244873028319298752220681 y1[1] (numeric) = 1.0417561244873028409778605226794 absolute error = 9.0479853006113e-18 relative error = 8.6853199975802772136734315972494e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=679.0MB, alloc=4.3MB, time=46.73 NO POLE NO POLE x[1] = 0.291 y2[1] (analytic) = 1.0420425557866467951831236262249 y2[1] (numeric) = 1.0789957373663458599003004079889 absolute error = 0.036953181579699064717176781764 relative error = 3.5462257634768853944575809603549 % h = 0.001 y1[1] (analytic) = 1.0420425557866467951831236262249 y1[1] (numeric) = 1.0420425557866468042776875014885 absolute error = 9.0945638752636e-18 relative error = 8.7276319232452424345003918134240e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=682.8MB, alloc=4.3MB, time=46.99 NO POLE NO POLE x[1] = 0.292 y2[1] (analytic) = 1.0423299450433551420052200606774 y2[1] (numeric) = 1.0795700369648581661424333227341 absolute error = 0.0372400919215030241372132620567 relative error = 3.5727738705572776144417262416571 % h = 0.001 y1[1] (analytic) = 1.0423299450433551420052200606774 y1[1] (numeric) = 1.0423299450433551511463485777253 absolute error = 9.1411285170479e-18 relative error = 8.7698991672619362156307402243813e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=686.6MB, alloc=4.3MB, time=47.25 NO POLE NO POLE x[1] = 0.293 y2[1] (analytic) = 1.0426182919700386396369216307212 y2[1] (numeric) = 1.0801462520472282319008238301429 absolute error = 0.0375279600771895922639021994217 relative error = 3.5993959022414715356889827829293 % h = 0.001 y1[1] (analytic) = 1.0426182919700386396369216307212 y1[1] (numeric) = 1.0426182919700386488246008101208 absolute error = 9.1876791793996e-18 relative error = 8.8121216078411399586837461320638e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=690.4MB, alloc=4.3MB, time=47.51 NO POLE NO POLE x[1] = 0.294 y2[1] (analytic) = 1.0429075962783503854236404606493 y2[1] (numeric) = 1.0807243820372410228233281020661 absolute error = 0.0378167857588906373996876414168 relative error = 3.6260916972741463458005563311577 % h = 0.001 y1[1] (analytic) = 1.0429075962783503854236404606493 y1[1] (numeric) = 1.0429075962783503946578562764172 absolute error = 9.2342158157679e-18 relative error = 8.8542991236428796960050164162785e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=694.2MB, alloc=4.3MB, time=47.76 NO POLE NO POLE x[1] = 0.295 y2[1] (analytic) = 1.043197857678986095162322319432 y2[1] (numeric) = 1.0813044263567665970746527778155 absolute error = 0.0381065686777805019123304583835 relative error = 3.6528610941134326934977568702839 % h = 0.001 y1[1] (analytic) = 1.043197857678986095162322319432 y1[1] (numeric) = 1.0431978576789861044430606990482 absolute error = 9.2807383796162e-18 relative error = 8.8964315937773697432570435271558e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=698.1MB, alloc=4.3MB, time=48.02 NO POLE NO POLE x[1] = 0.296 y2[1] (analytic) = 1.0434890758816843924057067150814 y2[1] (numeric) = 1.0818863844257606834662486219633 absolute error = 0.0383973085440762910605419068819 relative error = 3.6797039309331452094757292664848 % h = 0.001 y1[1] (analytic) = 1.0434890758816843924057067150814 y1[1] (numeric) = 1.0434890758816844017329535395035 absolute error = 9.3272468244221e-18 relative error = 8.9385188978055638930205130562036e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=701.9MB, alloc=4.3MB, time=48.28 NO POLE NO POLE x[1] = 0.297 y2[1] (analytic) = 1.0437812505952270987236791534653 y2[1] (numeric) = 1.0824702556622652615005333758708 absolute error = 0.0386890050670381627768542224055 relative error = 3.7066200456250153773666782043069 % h = 0.001 y1[1] (analytic) = 1.0437812505952270987236791534653 y1[1] (numeric) = 1.0437812505952271080974202571422 absolute error = 9.3737411036769e-18 relative error = 8.9805609157392190952014872580163e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=705.7MB, alloc=4.3MB, time=48.54 NO POLE NO POLE x[1] = 0.298 y2[1] (analytic) = 1.0440743815274395249214253002402 y2[1] (numeric) = 1.0830560394824091433288637587701 absolute error = 0.0389816579549696184074384585299 relative error = 3.7336092758009247025793839118893 % h = 0.001 y1[1] (analytic) = 1.0440743815274395249214253002402 y1[1] (numeric) = 1.0440743815274395343416464711268 absolute error = 9.4202211708866e-18 relative error = 9.0225575280423881445981896628675e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=709.5MB, alloc=4.3MB, time=48.80 x[1] = 0.299 y2[1] (analytic) = 1.0443684683851907632140958277764 y2[1] (numeric) = 1.0836437353004085576226746604772 absolute error = 0.0392752669152177944085788327008 relative error = 3.7606714587951381269078270230964 % h = 0.001 y1[1] (analytic) = 1.0443684683851907632140958277764 y1[1] (numeric) = 1.0443684683851907726807828073473 absolute error = 9.4666869795709e-18 relative error = 9.0645086156309872505499206809331e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.3 y2[1] (analytic) = 1.044663510874393980357689772432 y2[1] (numeric) = 1.084233342528567735357201654644 absolute error = 0.039569831654173754999511882212 relative error = 3.7878064316665376369294517843992 % h = 0.001 y1[1] (analytic) = 1.044663510874393980357689772432 y1[1] (numeric) = 1.044663510874393989870828255696 absolute error = 9.5131384832640e-18 relative error = 9.1064140598740798014486730668192e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=713.3MB, alloc=4.3MB, time=49.06 NO POLE NO POLE x[1] = 0.301 y2[1] (analytic) = 1.0449595087000067117358632713184 y2[1] (numeric) = 1.0848248605772794975072010488771 absolute error = 0.0398653518772727857713377775587 relative error = 3.8150140312008560143429849070861 % h = 0.001 y1[1] (analytic) = 1.0449595087000067117358632713184 y1[1] (numeric) = 1.0449595087000067212954389068331 absolute error = 9.5595756355147e-18 relative error = 9.1482737425944804929100644732950e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=717.1MB, alloc=4.3MB, time=49.32 NO POLE NO POLE x[1] = 0.302 y2[1] (analytic) = 1.0452564615660311564023695917739 y2[1] (numeric) = 1.0854182888550258446540797760516 absolute error = 0.0401618272889946882517101842777 relative error = 3.8422940939129106765267808549502 % h = 0.001 y1[1] (analytic) = 1.0452564615660311564023695917739 y1[1] (numeric) = 1.0452564615660311660083679816594 absolute error = 9.6059983898855e-18 relative error = 9.1900875460683941362978973613728e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=720.9MB, alloc=4.3MB, time=49.58 NO POLE NO POLE x[1] = 0.303 y2[1] (analytic) = 1.0455543691755144730788354111266 y2[1] (numeric) = 1.0860136267683785485038455197393 absolute error = 0.0404592575928640754250101086127 relative error = 3.869646456048837555731371350748 % h = 0.001 y1[1] (analytic) = 1.0455543691755144730788354111266 y1[1] (numeric) = 1.0455543691755144827312421110804 absolute error = 9.6524066999538e-18 relative error = 9.2318553530270559963328221718186e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=724.8MB, alloc=4.3MB, time=49.84 NO POLE NO POLE x[1] = 0.304 y2[1] (analytic) = 1.0458532312305490771075773489994 y2[1] (numeric) = 1.0866108737219997453152855558499 absolute error = 0.0407576424914506682077082068505 relative error = 3.8970709535883249654542454286675 % h = 0.001 y1[1] (analytic) = 1.0458532312305490771075773489994 y1[1] (numeric) = 1.0458532312305490868063778683107 absolute error = 9.6988005193113e-18 relative error = 9.2735770466566406490427515139756e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=728.6MB, alloc=4.3MB, time=50.10 NO POLE NO POLE x[1] = 0.305 y2[1] (analytic) = 1.0461530474322729383591617993617 y2[1] (numeric) = 1.0872100291186425312377808823573 absolute error = 0.0410569816863695928786190829956 relative error = 3.9245674222468474026808644514467 % h = 0.001 y1[1] (analytic) = 1.0461530474322729383591617993617 y1[1] (numeric) = 1.0461530474322729481043416009258 absolute error = 9.7451798015641e-18 relative error = 9.3152525105988325106755471487195e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=732.4MB, alloc=4.3MB, time=50.36 NO POLE NO POLE x[1] = 0.306 y2[1] (analytic) = 1.0464538174808698800944101547946 y2[1] (numeric) = 1.0878110923591515595581602993444 absolute error = 0.0413572748782816794637501445498 relative error = 3.9521356974778992348135120848004 % h = 0.001 y1[1] (analytic) = 1.0464538174808698800944101547946 y1[1] (numeric) = 1.0464538174808698898859546551276 absolute error = 9.7915445003330e-18 relative error = 9.3568816289515789047272069755270e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=736.2MB, alloc=4.3MB, time=50.62 NO POLE NO POLE x[1] = 0.307 y2[1] (analytic) = 1.0467555410755698787805505609892 y2[1] (numeric) = 1.088414062842463639855997192564 absolute error = 0.0416585217668937610754466315748 relative error = 3.9797756144752282202487801670628 % h = 0.001 y1[1] (analytic) = 1.0467555410755698787805505609892 y1[1] (numeric) = 1.0467555410755698886184451302426 absolute error = 9.8378945692534e-18 relative error = 9.3984642862694520889699153352035e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=740.0MB, alloc=4.3MB, time=50.89 NO POLE NO POLE x[1] = 0.308 y2[1] (analytic) = 1.0470582179146493648612163853508 y2[1] (numeric) = 1.089018939965608339066749865268 absolute error = 0.0419607220509589742055334799172 relative error = 4.0074870081750688117052855590328 % h = 0.001 y1[1] (analytic) = 1.0470582179146493648612163853508 y1[1] (numeric) = 1.0470582179146493747454463473258 absolute error = 9.8842299619750e-18 relative error = 9.4400003675638120315884117660562e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=743.8MB, alloc=4.3MB, time=51.14 NO POLE NO POLE x[1] = 0.309 y2[1] (analytic) = 1.0473618476954315244799906297348 y2[1] (numeric) = 1.0896257231237085844521443552145 absolute error = 0.0422638754282770599721537254797 relative error = 4.0352697132583751915455881905282 % h = 0.001 y1[1] (analytic) = 1.0473618476954315244799906297348 y1[1] (numeric) = 1.0473618476954315344105412618975 absolute error = 9.9305506321627e-18 relative error = 9.4814897583041070265768015465396e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=747.6MB, alloc=4.3MB, time=51.41 NO POLE NO POLE x[1] = 0.31 y2[1] (analytic) = 1.0476664301142866021571945637978 y2[1] (numeric) = 1.0902344117099812684771967665207 absolute error = 0.0425679815956946663200022027229 relative error = 4.0631235641530539884802243665481 % h = 0.001 y1[1] (analytic) = 1.0476664301142866021571945637978 y1[1] (numeric) = 1.0476664301142866121340510972933 absolute error = 9.9768565334955e-18 relative error = 9.5229323444172554233542684111222e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=751.5MB, alloc=4.3MB, time=51.68 NO POLE NO POLE x[1] = 0.311 y2[1] (analytic) = 1.0479719648666322044196179021966 y2[1] (numeric) = 1.0908450051157378555932702393895 absolute error = 0.0428730402491056511736523371929 relative error = 4.091048395036196625187269640466 % h = 0.001 y1[1] (analytic) = 1.0479719648666322044196179021966 y1[1] (numeric) = 1.0479719648666322144427655218643 absolute error = 1.00231476196677e-17 relative error = 9.5643280122892155261106725625522e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=755.3MB, alloc=4.3MB, time=51.94 NO POLE NO POLE x[1] = 0.312 y2[1] (analytic) = 1.0482784516469336043828868959338 y2[1] (numeric) = 1.0914575027303849909265597747037 absolute error = 0.0431790510834513865436728787699 relative error = 4.1190440398363112465278898359997 % h = 0.001 y1[1] (analytic) = 1.0482784516469336043828868959338 y1[1] (numeric) = 1.048278451646933614452310740322 absolute error = 1.00694238443882e-17 relative error = 9.6056766487647326283521034214739e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=759.1MB, alloc=4.3MB, time=52.20 NO POLE NO POLE x[1] = 0.313 y2[1] (analytic) = 1.0485858901487040472861657555049 y2[1] (numeric) = 1.0920719039414251108713962250527 absolute error = 0.0434860137927210635852304695478 relative error = 4.1471103322355541781869146930916 % h = 0.001 y1[1] (analytic) = 1.0485858901487040472861657555049 y1[1] (numeric) = 1.0485858901487040574018509168857 absolute error = 1.01156851613808e-17 relative error = 9.6469781411480325243839734954240e-16 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.314 y2[1] (analytic) = 1.0488942800645050569788858711721 y2[1] (numeric) = 1.0926882081344570555877588589401 absolute error = 0.043793928069951998608872987768 relative error = 4.1752471056719608657175636644072 % h = 0.001 y1[1] (analytic) = 1.0488942800645050569788858711721 y1[1] (numeric) = 1.0488942800645050671408173955563 absolute error = 1.01619315243842e-17 relative error = 9.6882323772032201553085210549772e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=762.9MB, alloc=4.3MB, time=52.45 NO POLE NO POLE x[1] = 0.315 y2[1] (analytic) = 1.0492036210859467433591963436608 y2[1] (numeric) = 1.0933064146931766834023840007093 absolute error = 0.0441027936072299400431876570485 relative error = 4.2034541933416762441210550954754 % h = 0.001 y1[1] (analytic) = 1.0492036210859467433591963436608 y1[1] (numeric) = 1.0492036210859467535673592308128 absolute error = 1.02081628871520e-17 relative error = 9.7294392451546699171826424593026e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=766.7MB, alloc=4.3MB, time=52.71 NO POLE NO POLE x[1] = 0.316 y2[1] (analytic) = 1.0495139129036881107638283868539 y2[1] (numeric) = 1.0939265229993774871128553451304 absolute error = 0.0444126100956893763490269582765 relative error = 4.231731428201184488244925835061 % h = 0.001 y1[1] (analytic) = 1.0495139129036881107638283868539 y1[1] (numeric) = 1.0495139129036881210182075903067 absolute error = 1.02543792034528e-17 relative error = 9.7705986336875029243931523593460e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=770.5MB, alloc=4.3MB, time=52.98 NO POLE NO POLE x[1] = 0.317 y2[1] (analytic) = 1.0498251552074373673090652126448 y2[1] (numeric) = 1.0945485324329512121940596426092 absolute error = 0.0447233772255138448849944299644 relative error = 4.260078642969538094438465652169 % h = 0.001 y1[1] (analytic) = 1.0498251552074373673090652126448 y1[1] (numeric) = 1.0498251552074373776096456397152 absolute error = 1.03005804270704e-17 relative error = 9.8117104319481510415872865004417e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=774.3MB, alloc=4.3MB, time=53.24 NO POLE NO POLE x[1] = 0.318 y2[1] (analytic) = 1.0501373476859522351825080570062 y2[1] (numeric) = 1.0951724423718884769063895486147 absolute error = 0.0450350946859362417238814916085 relative error = 4.2884956701305862440597170501755 % h = 0.001 y1[1] (analytic) = 1.0501373476859522351825080570062 y1[1] (numeric) = 1.0501373476859522455292745688096 absolute error = 1.03467665118034e-17 relative error = 9.8527745295443409163028034668620e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=778.2MB, alloc=4.3MB, time=53.50 NO POLE NO POLE x[1] = 0.319 y2[1] (analytic) = 1.0504504900270402618853280555329 y2[1] (numeric) = 1.0957982521922793943050735291725 absolute error = 0.0453477621652391324197454736396 relative error = 4.3169823419352023995859934944978 % h = 0.001 y1[1] (analytic) = 1.0504504900270402618853280555329 y1[1] (numeric) = 1.0504504900270402722782654669988 absolute error = 1.03929374114659e-17 relative error = 9.8937908165461175664565964236966e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=782.0MB, alloc=4.3MB, time=53.76 NO POLE NO POLE x[1] = 0.32 y2[1] (analytic) = 1.0507645819175591324246927262339 y2[1] (numeric) = 1.0964259612683141961500108131478 absolute error = 0.0456613793507550637253180869139 relative error = 4.3455384904035110842388149955538 % h = 0.001 y1[1] (analytic) = 1.0507645819175591324246927262339 y1[1] (numeric) = 1.0507645819175591428637858061209 absolute error = 1.04390930798870e-17 relative error = 9.9347591834857164668292119585503e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=785.8MB, alloc=4.3MB, time=54.02 NO POLE NO POLE x[1] = 0.321 y2[1] (analytic) = 1.0510796230434169824560548671731 y2[1] (numeric) = 1.0970555689722838587154874815339 absolute error = 0.0459759459288668762594326143608 relative error = 4.3741639473271137961945366628871 % h = 0.001 y1[1] (analytic) = 1.0510796230434169824560548671731 y1[1] (numeric) = 1.051079623043416992941288338084 absolute error = 1.04852334709109e-17 relative error = 9.9756795213579990573501717864591e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=789.6MB, alloc=4.3MB, time=54.28 NO POLE NO POLE x[1] = 0.322 y2[1] (analytic) = 1.0513956130895727123749907266948 y2[1] (numeric) = 1.0976870746745807304991478840824 absolute error = 0.0462914615850080181241571573876 relative error = 4.4028585442713140086137404818658 % h = 0.001 y1[1] (analytic) = 1.0513956130895727123749907266948 y1[1] (numeric) = 1.0513956130895727229063492650921 absolute error = 1.05313585383973e-17 relative error = 1.0016551721621165156649754055282e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=793.4MB, alloc=4.3MB, time=54.54 NO POLE NO POLE x[1] = 0.323 y2[1] (analytic) = 1.051712551740036302358273354424 y2[1] (numeric) = 1.0983204777436991618295936743564 absolute error = 0.0466079260036628594713203199324 relative error = 4.4316221125773412068856603363778 % h = 0.001 y1[1] (analytic) = 1.051712551740036302358273354424 y1[1] (numeric) = 1.0517125517400363129357415906451 absolute error = 1.05774682362211e-17 relative error = 1.0057375676196790859786257079329e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=797.2MB, alloc=4.3MB, time=54.80 NO POLE NO POLE x[1] = 0.324 y2[1] (analytic) = 1.0520304386778691283538660919921 y2[1] (numeric) = 1.0989557775462361363719808556598 absolute error = 0.0469253388683670080181147636677 relative error = 4.4604544833645739146485023512398 % h = 0.001 y1[1] (analytic) = 1.0520304386778691283538660919921 y1[1] (numeric) = 1.0520304386778691389774286102647 absolute error = 1.06235625182726e-17 relative error = 1.0098151277470333986245087450570e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=801.0MB, alloc=4.3MB, time=55.06 NO POLE NO POLE x[1] = 0.325 y2[1] (analytic) = 1.0523492735851842790195202135225 y2[1] (numeric) = 1.0995929734468919045309833322983 absolute error = 0.0472436998617076255114631187758 relative error = 4.4893554875327616603124940618609 % h = 0.001 y1[1] (analytic) = 1.0523492735851842790195202135225 y1[1] (numeric) = 1.0523492735851842896891615519801 absolute error = 1.06696413384576e-17 relative error = 1.0138878418291535934500991536070e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=804.9MB, alloc=4.3MB, time=55.35 NO POLE NO POLE x[1] = 0.326 y2[1] (analytic) = 1.0526690561431468736096597773046 y2[1] (numeric) = 1.1002320648084706187504895632616 absolute error = 0.047563008665323745140829785957 relative error = 4.5183249557642458359798338108983 % h = 0.001 y1[1] (analytic) = 1.0526690561431468736096597773046 y1[1] (numeric) = 1.0526690561431468843253644280017 absolute error = 1.07157046506971e-17 relative error = 1.0179556991974435165564045098445e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=808.7MB, alloc=4.3MB, time=55.62 NO POLE NO POLE x[1] = 0.327 y2[1] (analytic) = 1.0529897860319743808102358017967 y2[1] (numeric) = 1.1008730509918809707093970186825 absolute error = 0.0478832649599065898991612168858 relative error = 4.5473627185261794008244031629803 % h = 0.001 y1[1] (analytic) = 1.0529897860319743808102358017967 y1[1] (numeric) = 1.0529897860319743915719882107247 absolute error = 1.07617524089280e-17 relative error = 1.0220186892298322685110901005369e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=812.5MB, alloc=4.3MB, time=55.88 NO POLE NO POLE x[1] = 0.328 y2[1] (analytic) = 1.0533114629309369385212309311322 y2[1] (numeric) = 1.1015159313561368304128672433324 absolute error = 0.0482044684251998918916363122002 relative error = 4.57646860607274538116413702976 % h = 0.001 y1[1] (analytic) = 1.0533114629309369385212309311322 y1[1] (numeric) = 1.0533114629309369493290154982346 absolute error = 1.08077845671024e-17 relative error = 1.0260768013507358983461709373915e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.329 y2[1] (analytic) = 1.0536340865183576745864948076487 y2[1] (numeric) = 1.1021607052583578871784024359506 absolute error = 0.0485266187400002125919076283019 relative error = 4.605642448447374119630305590009 % h = 0.001 y1[1] (analytic) = 1.0536340865183576745864948076487 y1[1] (numeric) = 1.053634086518357685440295886837 absolute error = 1.08538010791883e-17 relative error = 1.0301300250311512755132380335682e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=816.3MB, alloc=4.3MB, time=56.14 NO POLE NO POLE x[1] = 0.33 y2[1] (analytic) = 1.0539576564716130284705894216338 y2[1] (numeric) = 1.1028073720537702925161025583848 absolute error = 0.048849715582157264045513136751 relative error = 4.6348840754849592260106359241081 % h = 0.001 y1[1] (analytic) = 1.0539576564716130284705894216338 y1[1] (numeric) = 1.0539576564716130393703913208029 absolute error = 1.08998018991691e-17 relative error = 1.0341783497886351674051174758197e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=820.1MB, alloc=4.3MB, time=56.41 NO POLE NO POLE x[1] = 0.331 y2[1] (analytic) = 1.0542821724671330738823227614669 y2[1] (numeric) = 1.1034559310957073049024600943386 absolute error = 0.0491737586285742310201373328717 relative error = 4.6641933168140721825171764847031 % h = 0.001 y1[1] (analytic) = 1.0542821724671330738823227614669 y1[1] (numeric) = 1.0542821724671330848281097425109 absolute error = 1.09457869810440e-17 relative error = 1.0382217651873679558497681692060e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=823.9MB, alloc=4.3MB, time=56.67 NO POLE NO POLE x[1] = 0.332 y2[1] (analytic) = 1.0546076341804018423446481406519 y2[1] (numeric) = 1.104106381735609936447047683986 absolute error = 0.0494987475552080941023995433341 relative error = 4.6935700018591755564050709918082 % h = 0.001 y1[1] (analytic) = 1.0546076341804018423446481406519 y1[1] (numeric) = 1.0546076341804018533364044194798 absolute error = 1.09917562788279e-17 relative error = 1.0422602608381690595103171581856e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=827.8MB, alloc=4.3MB, time=56.93 NO POLE NO POLE x[1] = 0.333 y2[1] (analytic) = 1.0549340412859576477106056318672 y2[1] (numeric) = 1.1047587233230276014514519678181 absolute error = 0.0498246820370699537408463359509 relative error = 4.7230139598428347730449469440607 % h = 0.001 y1[1] (analytic) = 1.0549340412859576477106056318672 y1[1] (numeric) = 1.0549340412859576587483153784186 absolute error = 1.10377097465514e-17 relative error = 1.0462938263985210413633340637503e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=831.6MB, alloc=4.3MB, time=57.20 NO POLE NO POLE x[1] = 0.334 y2[1] (analytic) = 1.0552613934573934116249810921192 y2[1] (numeric) = 1.1054129552056187668598050808428 absolute error = 0.0501515617482253552348239887236 relative error = 4.7525250197879284027294245250768 % h = 0.001 y1[1] (analytic) = 1.0552613934573934116249810921192 y1[1] (numeric) = 1.0552613934573934227086284303804 absolute error = 1.10836473382612e-17 relative error = 1.0503224515726308112637267742166e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=835.4MB, alloc=4.3MB, time=57.46 NO POLE NO POLE x[1] = 0.335 y2[1] (analytic) = 1.0555896903673569899313573173679 y2[1] (numeric) = 1.10606907672915160460026334666 absolute error = 0.0504793863617946146689060292921 relative error = 4.7821030105198569146733010788217 % h = 0.001 y1[1] (analytic) = 1.0555896903673569899313573173679 y1[1] (numeric) = 1.0555896903673570010609263253877 absolute error = 1.11295690080198e-17 relative error = 1.0543461261114236354145521781274e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=839.2MB, alloc=4.3MB, time=57.72 NO POLE NO POLE x[1] = 0.336 y2[1] (analytic) = 1.0559189316875515000242309195995 y2[1] (numeric) = 1.1067270872375046458167808299881 absolute error = 0.0508081555499531457925499103886 relative error = 4.8117477606687498518472513321913 % h = 0.001 y1[1] (analytic) = 1.0559189316875515000242309195995 y1[1] (numeric) = 1.0559189316875515111997056295048 absolute error = 1.11754747099053e-17 relative error = 1.0583648398125458618318674888293e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=843.0MB, alloc=4.3MB, time=57.98 NO POLE NO POLE x[1] = 0.337 y2[1] (analytic) = 1.056249117088735649145867574257 y2[1] (numeric) = 1.1073869860726674369905235159228 absolute error = 0.0511378689839317878446559416658 relative error = 4.8414590986716713804663909358154 % h = 0.001 y1[1] (analytic) = 1.056249117088735649145867574257 y1[1] (numeric) = 1.0562491170887356603672319722691 absolute error = 1.12213643980121e-17 relative error = 1.0623785825204520827461018761631e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=846.8MB, alloc=4.3MB, time=58.24 NO POLE NO POLE x[1] = 0.338 y2[1] (analytic) = 1.0565802462407240636275673412012 y2[1] (numeric) = 1.1080487725747411979502679945684 absolute error = 0.0514685263340171343227006533672 relative error = 4.8712368527748241681377674354117 % h = 0.001 y1[1] (analytic) = 1.0565802462407240636275673412012 y1[1] (numeric) = 1.0565802462407240748948053676517 absolute error = 1.12672380264505e-17 relative error = 1.0663873441263872589199315801683e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=850.6MB, alloc=4.3MB, time=58.50 NO POLE NO POLE x[1] = 0.339 y2[1] (analytic) = 1.0569123188123876190750108179637 y2[1] (numeric) = 1.108712446081939481771126640698 absolute error = 0.0518001272695518626961158227343 relative error = 4.9010808510357515448547552158319 % h = 0.001 y1[1] (analytic) = 1.0569123188123876190750108179637 y1[1] (numeric) = 1.0569123188123876303881063673106 absolute error = 1.13130955493469e-17 relative error = 1.0703911145684248813501955845449e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=854.5MB, alloc=4.3MB, time=58.77 NO POLE NO POLE x[1] = 0.34 y2[1] (analytic) = 1.0572453344716537714973559399734 y2[1] (numeric) = 1.1093780059305888365609393897725 absolute error = 0.0521326714589350650635834497991 relative error = 4.9309909213255379012114259995628 % h = 0.001 y1[1] (analytic) = 1.0572453344716537714973559399734 y1[1] (numeric) = 1.0572453344716537828562928608172 absolute error = 1.13589369208438e-17 relative error = 1.0743898838314853789955565809047e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=858.3MB, alloc=4.3MB, time=59.03 NO POLE NO POLE x[1] = 0.341 y2[1] (analytic) = 1.0575792928855068893797542986879 y2[1] (numeric) = 1.1100454514551294691336703239814 absolute error = 0.0524661585696225797539160252935 relative error = 4.9609668913310072783962308354178 % h = 0.001 y1[1] (analytic) = 1.0575792928855068893797542986879 y1[1] (numeric) = 1.0575792928855069007845163937877 absolute error = 1.14047620950998e-17 relative error = 1.0783836419473537267985652615594e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=862.1MB, alloc=4.3MB, time=59.29 NO POLE NO POLE x[1] = 0.342 y2[1] (analytic) = 1.0579141937199885866989549051396 y2[1] (numeric) = 1.1107147819881159105691453949645 absolute error = 0.0528005882681273238701904898249 relative error = 4.9910085885569201047117498698856 % h = 0.001 y1[1] (analytic) = 1.0579141937199885866989549051396 y1[1] (numeric) = 1.0579141937199885981495259314294 absolute error = 1.14505710262898e-17 relative error = 1.0823723789947151607650370623604e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=865.9MB, alloc=4.3MB, time=59.55 NO POLE NO POLE x[1] = 0.343 y2[1] (analytic) = 1.0582500366401980568816623833228 y2[1] (numeric) = 1.111385996860217683658465723532 absolute error = 0.0531359602200196267768033402092 relative error = 5.0211158403281680335558292247227 % h = 0.001 y1[1] (analytic) = 1.0582500366401980568816623833228 y1[1] (numeric) = 1.0582500366401980683780260519275 absolute error = 1.14963636686047e-17 relative error = 1.0863560850991428128219396619414e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.344 y2[1] (analytic) = 1.0585868213102924077053156350886 y2[1] (numeric) = 1.1120590954002199722344290310257 absolute error = 0.0534722740899275645291133959371 relative error = 5.0512884737919668379891166700798 % h = 0.001 y1[1] (analytic) = 1.0585868213102924077053156350886 y1[1] (numeric) = 1.0585868213102924192474556113407 absolute error = 1.15421399762521e-17 relative error = 1.0903347504331790704234682953939e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=869.7MB, alloc=4.3MB, time=59.81 NO POLE NO POLE x[1] = 0.345 y2[1] (analytic) = 1.0589245473934869971409520758003 y2[1] (numeric) = 1.1127340769350242923862898719548 absolute error = 0.0538095295415372952453377961545 relative error = 5.0815263159200473172048161256218 % h = 0.001 y1[1] (analytic) = 1.0589245473934869971409520758003 y1[1] (numeric) = 1.0589245473934870087288519792557 absolute error = 1.15878999034554e-17 relative error = 1.0943083652162649199828471116145e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=873.5MB, alloc=4.3MB, time=60.07 NO POLE NO POLE x[1] = 0.346 y2[1] (analytic) = 1.0592632145520557701378215979091 y2[1] (numeric) = 1.1134109407896491655581874532032 absolute error = 0.0541477262375933954203658552941 relative error = 5.1118291935108441704083919786505 % h = 0.001 y1[1] (analytic) = 1.0592632145520557701378215979091 y1[1] (numeric) = 1.059263214552055781771465002364 absolute error = 1.16336434044549e-17 relative error = 1.0982769197148574719240839207269e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=877.3MB, alloc=4.3MB, time=60.33 NO POLE NO POLE x[1] = 0.347 y2[1] (analytic) = 1.0596028224473315963494134778678 y2[1] (numeric) = 1.1140896862872307935305679414353 absolute error = 0.0544868638398991971811544635675 relative error = 5.142196933191682793807954396296 % h = 0.001 y1[1] (analytic) = 1.0596028224473315963494134778678 y1[1] (numeric) = 1.0596028224473316080287839113749 absolute error = 1.16793704335071e-17 relative error = 1.1022404042423766217653909210331e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=881.2MB, alloc=4.3MB, time=60.59 NO POLE NO POLE x[1] = 0.348 y2[1] (analytic) = 1.0599433707397066088005585003816 y2[1] (numeric) = 1.1147703127490237352839262773356 absolute error = 0.054826942009317126483367776954 relative error = 5.1726293614209639566101328435657 % h = 0.001 y1[1] (analytic) = 1.0599433707397066088005585003816 y1[1] (numeric) = 1.0599433707397066205256394452664 absolute error = 1.17250809448848e-17 relative error = 1.1061988091592265256752465511480e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=885.0MB, alloc=4.3MB, time=60.85 NO POLE NO POLE x[1] = 0.349 y2[1] (analytic) = 1.0602848590886325434952676329222 y2[1] (numeric) = 1.1154528194944015857441906329952 absolute error = 0.055167960405769042248923000073 relative error = 5.2031263044903463121113834995231 % h = 0.001 y1[1] (analytic) = 1.0602848590886325434952676329222 y1[1] (numeric) = 1.0602848590886325552660425257999 absolute error = 1.17707748928777e-17 relative error = 1.1101521248728634287758344265355e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=888.8MB, alloc=4.3MB, time=61.12 NO POLE NO POLE x[1] = 0.35 y2[1] (analytic) = 1.0606272871526210799649676426963 y2[1] (numeric) = 1.1161372058408576564090707671185 absolute error = 0.0555099186882365764441031244222 relative error = 5.2336875885269267001708637859855 % h = 0.001 y1[1] (analytic) = 1.0606272871526210799649676426963 y1[1] (numeric) = 1.0606272871526210917814198744881 absolute error = 1.18164522317918e-17 relative error = 1.1141003418377494587685287924152e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=892.6MB, alloc=4.3MB, time=61.38 NO POLE NO POLE x[1] = 0.351 y2[1] (analytic) = 1.0609706545892441827567931078597 y2[1] (numeric) = 1.1168234711040056578546896517582 absolute error = 0.0558528165147614750978965438985 relative error = 5.2643130394954181975482303729974 % h = 0.001 y1[1] (analytic) = 1.0609706545892441827567931078597 y1[1] (numeric) = 1.0609706545892441946189060238094 absolute error = 1.18621129159497e-17 relative error = 1.1180434505553905741589944652429e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=896.4MB, alloc=4.3MB, time=61.64 NO POLE NO POLE x[1] = 0.352 y2[1] (analytic) = 1.0613149610551344438615933347137 y2[1] (numeric) = 1.1175116145975803841218158640031 absolute error = 0.0561966535424459402602225292894 relative error = 5.2950024832003258727879623829287 % h = 0.001 y1[1] (analytic) = 1.0613149610551344438615933347137 y1[1] (numeric) = 1.0613149610551344557693502344044 absolute error = 1.19077568996907e-17 relative error = 1.1219814415743548320673952805200e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=900.2MB, alloc=4.3MB, time=61.90 NO POLE NO POLE x[1] = 0.353 y2[1] (analytic) = 1.0616602062059854260813117529063 y2[1] (numeric) = 1.1182016356334383989810123564445 absolute error = 0.0565414294274529728997006035382 relative error = 5.3257557452881202025310656562014 % h = 0.001 y1[1] (analytic) = 1.0616602062059854260813117529063 y1[1] (numeric) = 1.0616602062059854380346958902772 absolute error = 1.19533841373709e-17 relative error = 1.1259143054902898583848196330111e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=904.0MB, alloc=4.3MB, time=62.17 NO POLE NO POLE x[1] = 0.354 y2[1] (analytic) = 1.0620063896965520073353944212866 y2[1] (numeric) = 1.1188935335215587240760153413288 absolute error = 0.0568871438250067167406209200422 relative error = 5.3565726512494081063352634366729 % h = 0.001 y1[1] (analytic) = 1.0620063896965520073353944212866 y1[1] (numeric) = 1.0620063896965520193343890046497 absolute error = 1.19989945833631e-17 relative error = 1.1298420329459206897291237541898e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=907.9MB, alloc=4.3MB, time=62.43 NO POLE NO POLE x[1] = 0.355 y2[1] (analytic) = 1.062353511180650725905883338033 y2[1] (numeric) = 1.1195873075700435289446551450749 absolute error = 0.0572337963893928030387718070419 relative error = 5.3874530264211015572860102511558 % h = 0.001 y1[1] (analytic) = 1.062353511180650725905883338033 y1[1] (numeric) = 1.0623535111806507379504715300897 absolute error = 1.20445881920567e-17 relative error = 1.1337646146310468581493654082917e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=911.7MB, alloc=4.3MB, time=62.69 NO POLE NO POLE x[1] = 0.356 y2[1] (analytic) = 1.0627015703111601266208493099901 y2[1] (numeric) = 1.1202829570851188229166290122932 absolute error = 0.0575813867739586962957797023031 relative error = 5.4183966959885837258828656606253 % h = 0.001 y1[1] (analytic) = 1.0627015703111601266208493099901 y1[1] (numeric) = 1.0627015703111601387110142278483 absolute error = 1.20901649178582e-17 relative error = 1.1376820412825951804891389891459e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=915.5MB, alloc=4.3MB, time=62.96 NO POLE NO POLE x[1] = 0.357 y2[1] (analytic) = 1.0630505667400211079758181978111 y2[1] (numeric) = 1.1209804813711351488874339615914 absolute error = 0.0579299146311140409116157637803 relative error = 5.4494034849878726148889195136542 % h = 0.001 y1[1] (analytic) = 1.0630505667400211079758181978111 y1[1] (numeric) = 1.063050566740021120111542913002 absolute error = 1.21357247151909e-17 relative error = 1.1415943036845964282459563417120e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.358 memory used=919.3MB, alloc=4.3MB, time=63.22 y2[1] (analytic) = 1.0634005001182372701928434155077 y2[1] (numeric) = 1.1216798797305682789677659192909 absolute error = 0.0582793796123310087749225037832 relative error = 5.480473218307782143035056899029 % h = 0.001 y1[1] (analytic) = 1.0634005001182372701928434155077 y1[1] (numeric) = 1.0634005001182372823741109540026 absolute error = 1.21812675384949e-17 relative error = 1.1455013926681894942957172366581e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.359 y2[1] (analytic) = 1.0637513700958752642168766253644 y2[1] (numeric) = 1.122381151464019912007689481714 absolute error = 0.0586297813681446477908128563496 relative error = 5.5116057206920806356758757380143 % h = 0.001 y1[1] (analytic) = 1.0637513700958752642168766253644 y1[1] (numeric) = 1.0637513700958752764436699675919 absolute error = 1.22267933422275e-17 relative error = 1.1494032991116623943863119948464e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=923.1MB, alloc=4.3MB, time=63.48 NO POLE NO POLE x[1] = 0.36 y2[1] (analytic) = 1.0641031763220651416490876318753 y2[1] (numeric) = 1.1230842958702183729948807819296 absolute error = 0.0589811195481532313457931500543 relative error = 5.5428008167416466807000094420758 % h = 0.001 y1[1] (analytic) = 1.0641031763220651416490876318753 y1[1] (numeric) = 1.0641031763220651539213897127382 absolute error = 1.22723020808629e-17 relative error = 1.1533000139404266449124682925632e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=926.9MB, alloc=4.3MB, time=63.74 NO POLE NO POLE x[1] = 0.361 y2[1] (analytic) = 1.064455918445000705616783541413 y2[1] (numeric) = 1.1237893122460193143262440627727 absolute error = 0.0593333938010186087094605213597 relative error = 5.5740583309166223082044478569144 % h = 0.001 y1[1] (analytic) = 1.064455918445000705616783541413 y1[1] (numeric) = 1.0644559184450007179345772503054 absolute error = 1.23177937088924e-17 relative error = 1.1571915281270379046825911996510e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=930.8MB, alloc=4.3MB, time=64.01 NO POLE NO POLE x[1] = 0.362 y2[1] (analytic) = 1.0648095961119398625795763177395 y2[1] (numeric) = 1.1244961998864064189522006845796 absolute error = 0.0596866037744665563726243668401 relative error = 5.605378087538563452650178389197 % h = 0.001 y1[1] (analytic) = 1.0648095961119398625795763177395 y1[1] (numeric) = 1.0648095961119398749428444985637 absolute error = 1.23632681808242e-17 relative error = 1.1610778326911782517072256014928e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=934.6MB, alloc=4.3MB, time=64.27 NO POLE NO POLE x[1] = 0.363 y2[1] (analytic) = 1.0651642089692049750714469272204 y2[1] (numeric) = 1.125204958084492105392947423409 absolute error = 0.0600407491152871303215004961886 relative error = 5.6367599107925876564250723434222 % h = 0.001 y1[1] (analytic) = 1.0651642089692049750714469272204 y1[1] (numeric) = 1.0651642089692049874801723784043 absolute error = 1.24087254511839e-17 relative error = 1.1649589186997034547769879116388e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=938.4MB, alloc=4.3MB, time=64.53 NO POLE NO POLE x[1] = 0.364 y2[1] (analytic) = 1.0655197566621832153783533317088 y2[1] (numeric) = 1.1259155861315182346259790435486 absolute error = 0.0603958294693350192476257118398 relative error = 5.6682036247295189739494056628138 % h = 0.001 y1[1] (analytic) = 1.0655197566621832153783533317088 y1[1] (numeric) = 1.0655197566621832278325188062231 absolute error = 1.24541654745143e-17 relative error = 1.1688347772666236973493954397388e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=942.2MB, alloc=4.3MB, time=64.79 NO POLE NO POLE x[1] = 0.365 y2[1] (analytic) = 1.0658762388353269201510286515192 y2[1] (numeric) = 1.1266280833168568188441682568441 absolute error = 0.0607518444815298986931396053249 relative error = 5.6997090532680300356697150574434 % h = 0.001 y1[1] (analytic) = 1.0658762388353269201510286515192 y1[1] (numeric) = 1.0658762388353269326506168568945 absolute error = 1.24995882053753e-17 relative error = 1.1727053995530929645762807241632e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=946.0MB, alloc=4.3MB, time=65.05 NO POLE NO POLE x[1] = 0.366 y2[1] (analytic) = 1.0662336551321539459526148857234 y2[1] (numeric) = 1.1273424489280107320836943108295 absolute error = 0.0611087937958567861310794251061 relative error = 5.7312760201967812314978365070802 % h = 0.001 y1[1] (analytic) = 1.0662336551321539459526148857234 y1[1] (numeric) = 1.0662336551321539584976084840676 absolute error = 1.25449935983442e-17 relative error = 1.1765707767674352102097642503913e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=949.8MB, alloc=4.3MB, time=65.31 NO POLE NO POLE x[1] = 0.367 y2[1] (analytic) = 1.0665920051952480257407766421643 y2[1] (numeric) = 1.1280586822506144227211095777894 absolute error = 0.0614666770553663969803329356251 relative error = 5.762904349176556973463939947913 % h = 0.001 y1[1] (analytic) = 1.0665920051952480257407766421643 y1[1] (numeric) = 1.06659200519524803833115825018 absolute error = 1.25903816080157e-17 relative error = 1.1804309001651415877801824443727e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=953.6MB, alloc=4.3MB, time=65.58 NO POLE NO POLE x[1] = 0.368 y2[1] (analytic) = 1.0669512886662591262839383951033 y2[1] (numeric) = 1.1287767825684346278388316477457 absolute error = 0.0618254939021755015548932526424 relative error = 5.7945938637423989975651482010606 % h = 0.001 y1[1] (analytic) = 1.0669512886662591262839383951033 y1[1] (numeric) = 1.066951288666259138919690584105 absolute error = 1.26357521890017e-17 relative error = 1.1842857610488481865660256511879e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=957.5MB, alloc=4.3MB, time=65.84 NO POLE NO POLE x[1] = 0.369 y2[1] (analytic) = 1.0673115051859038065112878542941 y2[1] (numeric) = 1.129496749163371089458346559937 absolute error = 0.0621852439774672829470587056429 relative error = 5.8263443873057366650048964968927 % h = 0.001 y1[1] (analytic) = 1.0673115051859038065112878542941 y1[1] (numeric) = 1.0673115051859038191923931502257 absolute error = 1.26811052959316e-17 relative error = 1.1881353507683599041139706400355e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=961.3MB, alloc=4.3MB, time=66.11 NO POLE NO POLE x[1] = 0.37 y2[1] (analytic) = 1.0676726543939655767961870955091 y2[1] (numeric) = 1.1302185813154572726404069396464 absolute error = 0.0625459269214916958442198441373 relative error = 5.8581557431565142232325379230311 % h = 0.001 y1[1] (analytic) = 1.0676726543939655767961870955091 y1[1] (numeric) = 1.0676726543939655895226279789615 absolute error = 1.27264408834524e-17 relative error = 1.1919796607206547836101680647735e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=965.1MB, alloc=4.3MB, time=66.37 NO POLE NO POLE x[1] = 0.371 y2[1] (analytic) = 1.0680347359292952591726321691378 y2[1] (numeric) = 1.1309422783028610854515069402395 absolute error = 0.0629075423735658262788747711017 relative error = 5.8900277544653149874078164179699 % h = 0.001 y1[1] (analytic) = 1.0680347359292952591726321691378 y1[1] (numeric) = 1.0680347359292952719443910753662 absolute error = 1.27717589062284e-17 relative error = 1.1958186823498501363461933809703e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=968.9MB, alloc=4.3MB, time=66.63 NO POLE NO POLE x[1] = 0.372 y2[1] (analytic) = 1.0683977494298113484844009704265 y2[1] (numeric) = 1.131667839401885600795914023998 absolute error = 0.0632700899720742523115130535715 relative error = 5.9219602442854824031306992013057 % h = 0.001 y1[1] (analytic) = 1.0683977494298113484844009704265 y1[1] (numeric) = 1.0683977494298113613014602893682 absolute error = 1.28170593189417e-17 relative error = 1.1996524071472428581197674560727e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.373 y2[1] (analytic) = 1.0687616945325003744665282222431 y2[1] (numeric) = 1.1323952638869697801125357497769 absolute error = 0.0636335693544694056460075275338 relative error = 5.9539530355552379514936714428634 % h = 0.001 y1[1] (analytic) = 1.0687616945325003744665282222431 y1[1] (numeric) = 1.0687616945325003873288702985349 absolute error = 1.28623420762918e-17 relative error = 1.2034808266512647010577781884391e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=972.7MB, alloc=4.3MB, time=66.89 NO POLE NO POLE x[1] = 0.374 y2[1] (analytic) = 1.0691265708734172647587454889206 y2[1] (numeric) = 1.1331245510306891989358978706793 absolute error = 0.0639979801572719341771523817587 relative error = 5.9860059510997958577309342099722 % h = 0.001 y1[1] (analytic) = 1.0691265708734172647587454889206 y1[1] (numeric) = 1.0691265708734172776663526219165 absolute error = 1.29076071329959e-17 relative error = 1.2073039324475023584805541348783e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=976.5MB, alloc=4.3MB, time=67.15 NO POLE NO POLE x[1] = 0.375 y2[1] (analytic) = 1.0694923780876857088505232077704 y2[1] (numeric) = 1.1338557001037567743205081808303 absolute error = 0.0643633220160710654699849730599 relative error = 6.0181188136334745649569989905499 % h = 0.001 y1[1] (analytic) = 1.0694923780876857088505232077704 y1[1] (numeric) = 1.0694923780876857218033776515596 absolute error = 1.29528544437892e-17 relative error = 1.2111217161687167571506375865556e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=980.3MB, alloc=4.3MB, time=67.41 NO POLE NO POLE x[1] = 0.376 y2[1] (analytic) = 1.0698591158094985229573507932542 y2[1] (numeric) = 1.134588710375023494127878686948 absolute error = 0.0647295945655249711705278936938 relative error = 6.050291445761804934705925084037 % h = 0.001 y1[1] (analytic) = 1.0698591158094985229573507932542 y1[1] (numeric) = 1.0698591158094985359554347566783 absolute error = 1.29980839634241e-17 relative error = 1.2149341694947587414849263784643e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=984.2MB, alloc=4.3MB, time=67.67 NO POLE NO POLE x[1] = 0.377 y2[1] (analytic) = 1.070226783672118015827889937563 y2[1] (numeric) = 1.135323581111479148175476817749 absolute error = 0.065096797439361132347586880186 relative error = 6.0825236699836351362018866117309 % h = 0.001 y1[1] (analytic) = 1.070226783672118015827889937563 y1[1] (numeric) = 1.0702267836721180288711855842341 absolute error = 1.30432956466711e-17 relative error = 1.2187412841526430256490702746266e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=988.0MB, alloc=4.3MB, time=67.94 NO POLE NO POLE x[1] = 0.378 y2[1] (analytic) = 1.0705953813078763554816353004824 y2[1] (numeric) = 1.1360603115782530612468745222987 absolute error = 0.0654649302703767057652392218163 relative error = 6.114815308693232186511870570345 % h = 0.001 y1[1] (analytic) = 1.0705953813078763554816353004824 y1[1] (numeric) = 1.0705953813078763685701247488011 absolute error = 1.30884894483187e-17 relative error = 1.2225430519165278378466530623536e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=991.8MB, alloc=4.3MB, time=68.20 NO POLE NO POLE x[1] = 0.379 y2[1] (analytic) = 1.070964908348175936876715850913 y2[1] (numeric) = 1.1367989010386148279623622472186 absolute error = 0.0658339926904388910856463963056 relative error = 6.1471661841823801039520830044691 % h = 0.001 y1[1] (analytic) = 1.070964908348175936876715850913 y1[1] (numeric) = 1.070964908348175950010381174086 absolute error = 1.31336653231730e-17 relative error = 1.2263394646076658451831699273161e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=995.6MB, alloc=4.3MB, time=68.46 NO POLE NO POLE x[1] = 0.38 y2[1] (analytic) = 1.0713353644234897505074691922754 y2[1] (numeric) = 1.1375393487539750495092929221976 absolute error = 0.0662039843304852990018237299222 relative error = 6.1795761186424746373410637895635 % h = 0.001 y1[1] (analytic) = 1.0713353644234897505074691922754 y1[1] (numeric) = 1.0713353644234897636862924183336 absolute error = 1.31788232260582e-17 relative error = 1.2301305140944384390680129277128e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=999.4MB, alloc=4.3MB, time=68.72 NO POLE NO POLE x[1] = 0.381 y2[1] (analytic) = 1.0717067491633617519314202742562 y2[1] (numeric) = 1.1382816539838860722314192235243 absolute error = 0.0665749048205243202999989492681 relative error = 6.2120449341666145339145685034166 % h = 0.001 y1[1] (analytic) = 1.0717067491633617519314202742562 y1[1] (numeric) = 1.0717067491633617651553833860725 absolute error = 1.32239631118163e-17 relative error = 1.2339161922923145546884861805319e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1003.2MB, alloc=4.3MB, time=68.98 NO POLE NO POLE x[1] = 0.382 y2[1] (analytic) = 1.0720790621964072322252949639468 y2[1] (numeric) = 1.1390258159860427280764855263654 absolute error = 0.0669467537896354958511905624186 relative error = 6.2445724527516893089399552472197 % h = 0.001 y1[1] (analytic) = 1.0720790621964072322252949639468 y1[1] (numeric) = 1.0720790621964072454943798992542 absolute error = 1.32690849353074e-17 relative error = 1.2376964911638647951092492008920e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1007.0MB, alloc=4.3MB, time=69.24 NO POLE NO POLE x[1] = 0.383 y2[1] (analytic) = 1.072452303150313189369698020393 y2[1] (numeric) = 1.1397718340162830769013340982592 absolute error = 0.0673195308659698875316360778662 relative error = 6.277158496300463480291101905484 % h = 0.001 y1[1] (analytic) = 1.072452303150313189369698020393 y1[1] (numeric) = 1.0724523031503132026838866718028 absolute error = 1.33141886514098e-17 relative error = 1.2414714027187561309624703895872e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1010.9MB, alloc=4.3MB, time=69.50 NO POLE NO POLE x[1] = 0.384 y2[1] (analytic) = 1.0728264716518387005620840879077 y2[1] (numeric) = 1.1405197073285891506337832287807 absolute error = 0.067693235676750450071699140873 relative error = 6.3098028866236572314687620789407 % h = 0.001 y1[1] (analytic) = 1.0728264716518387005620840879077 y1[1] (numeric) = 1.0728264716518387139213583029275 absolute error = 1.33592742150198e-17 relative error = 1.2452409190137179020663470694332e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1014.7MB, alloc=4.3MB, time=69.76 NO POLE NO POLE x[1] = 0.385 y2[1] (analytic) = 1.0732015673268152954576493952072 y2[1] (numeric) = 1.141269435175087699290533133561 absolute error = 0.0680678678482724038328837383538 relative error = 6.3425054454420234667757326797528 % h = 0.001 y1[1] (analytic) = 1.0732015673268152954576493952072 y1[1] (numeric) = 1.073201567326815308861990976259 absolute error = 1.34043415810518e-17 relative error = 1.2490050321525350991115151428126e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1018.5MB, alloc=4.3MB, time=70.03 NO POLE NO POLE x[1] = 0.386 y2[1] (analytic) = 1.0735775898001473303377709195101 y2[1] (numeric) = 1.1420210168060509388503536148186 absolute error = 0.0684434270059036085125826953085 relative error = 6.375265994388421222581239863829 % h = 0.001 y1[1] (analytic) = 1.0735775898001473303377709195101 y1[1] (numeric) = 1.0735775898001473437871616239484 absolute error = 1.34493907044383e-17 relative error = 1.2527637342860316008953640702249e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1022.3MB, alloc=4.3MB, time=70.29 x[1] = 0.387 y2[1] (analytic) = 1.0739545386958123632056188471909 y2[1] (numeric) = 1.1427744514698973009818056052763 absolute error = 0.0688199127740849377761867580854 relative error = 6.408084355009885398834539533403 % h = 0.001 y1[1] (analytic) = 1.0739545386958123632056188471909 y1[1] (numeric) = 1.0739545386958123767000403873212 absolute error = 1.34944215401303e-17 relative error = 1.2565170176120899491624993668657e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.388 y2[1] (analytic) = 1.0743324136368615298085672354074 y2[1] (numeric) = 1.1435297384131921846247468678049 absolute error = 0.0691973247763306548161796323975 relative error = 6.440960348769692775213861044974 % h = 0.001 y1[1] (analytic) = 1.0743324136368615298085672354074 y1[1] (numeric) = 1.0743324136368615433480012785045 absolute error = 1.35394340430971e-17 relative error = 1.2602648743756144906903635884152e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1026.1MB, alloc=4.3MB, time=70.55 NO POLE NO POLE x[1] = 0.389 y2[1] (analytic) = 1.0747112142454199205870268523226 y2[1] (numeric) = 1.1442868768806487094248702693509 absolute error = 0.0695756626352287888378434170283 relative error = 6.4738937970494242765234849990937 % h = 0.001 y1[1] (analytic) = 1.0747112142454199205870268523226 y1[1] (numeric) = 1.0747112142454199341714550206486 absolute error = 1.35844281683260e-17 relative error = 1.2640072968684845504748906865949e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1029.9MB, alloc=4.3MB, time=70.81 NO POLE NO POLE x[1] = 0.39 y2[1] (analytic) = 1.0750909401426869585493232471189 y2[1] (numeric) = 1.1450458661151284710205211946722 absolute error = 0.0699549259724415124711979475533 relative error = 6.5068845211510234521789250931326 % h = 0.001 y1[1] (analytic) = 1.0750909401426869585493232471189 y1[1] (numeric) = 1.0750909401426869721787271179418 absolute error = 1.36294038708229e-17 relative error = 1.2677442774295906770782220935733e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1033.7MB, alloc=4.3MB, time=71.07 NO POLE NO POLE x[1] = 0.391 y2[1] (analytic) = 1.0754715909489367780722421749589 y2[1] (numeric) = 1.145806705357642298181038813128 absolute error = 0.0703351144087055201087966381691 relative error = 6.5399323422988511348478670379513 % h = 0.001 y1[1] (analytic) = 1.0754715909489367780722421749589 y1[1] (numeric) = 1.075471590948936791746603280571 absolute error = 1.36743611056121e-17 relative error = 1.2714758084447956853398574793367e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1037.6MB, alloc=4.3MB, time=71.34 NO POLE NO POLE x[1] = 0.392 y2[1] (analytic) = 1.0758531662835186046268635763786 y2[1] (numeric) = 1.1465693938473510117958640602439 absolute error = 0.0707162275638324071690004838653 relative error = 6.5730370816417362435426915553246 % h = 0.001 y1[1] (analytic) = 1.0758531662835186046268635763786 y1[1] (numeric) = 1.0758531662835186183461634041151 absolute error = 1.37192998277365e-17 relative error = 1.2752018823469322222540616849300e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1041.4MB, alloc=4.3MB, time=71.60 NO POLE NO POLE x[1] = 0.393 y2[1] (analytic) = 1.0762356657648571354293043853106 y2[1] (numeric) = 1.1473339308215661857136553450084 absolute error = 0.0710982650567090502843509596978 relative error = 6.6061985602550226966890605957389 % h = 0.001 y1[1] (analytic) = 1.0762356657648571354293043853106 y1[1] (numeric) = 1.076235665764857149193524377568 absolute error = 1.37642199922574e-17 relative error = 1.2789224916157624330602901832712e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1045.2MB, alloc=4.3MB, time=71.86 NO POLE NO POLE x[1] = 0.394 y2[1] (analytic) = 1.0766190890104529210159895150267 y2[1] (numeric) = 1.1481003155157509094306511438476 absolute error = 0.0714812265052979884146616288209 relative error = 6.6394165991426124009241632863608 % h = 0.001 y1[1] (analytic) = 1.0766190890104529210159895150267 y1[1] (numeric) = 1.076619089010452934825111069281 absolute error = 1.38091215542543e-17 relative error = 1.2826376287779369757898172884894e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1049.0MB, alloc=4.3MB, time=72.12 NO POLE NO POLE x[1] = 0.395 y2[1] (analytic) = 1.0770034356368827477430694467592 y2[1] (numeric) = 1.1488685471635205526275167929797 absolute error = 0.0718651115266378048844473462205 relative error = 6.6726910192390042816077879097701 % h = 0.001 y1[1] (analytic) = 1.0770034356368827477430694467592 y1[1] (numeric) = 1.0770034356368827615970739155851 absolute error = 1.38540044688259e-17 relative error = 1.2863472864070648072549809823937e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1052.8MB, alloc=4.3MB, time=72.38 NO POLE NO POLE x[1] = 0.396 y2[1] (analytic) = 1.0773887052598000212096019216175 y2[1] (numeric) = 1.1496386249966435315539109423659 absolute error = 0.0722499197368435103443090207484 relative error = 6.7060216414113293212593956283313 % h = 0.001 y1[1] (analytic) = 1.0773887052598000212096019216175 y1[1] (numeric) = 1.0773887052598000351084706127069 absolute error = 1.38988686910894e-17 relative error = 1.2900514571236242949825657808143e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1056.6MB, alloc=4.3MB, time=72.65 NO POLE NO POLE x[1] = 0.397 y2[1] (analytic) = 1.0777748974939351506041143126486 y2[1] (numeric) = 1.1504105482450420772600052867552 absolute error = 0.0726356507511069266558909741066 relative error = 6.7394082864613815723648079454878 % h = 0.001 y1[1] (analytic) = 1.0777748974939351506041143126486 y1[1] (numeric) = 1.077774897493935164547828488829 absolute error = 1.39437141761804e-17 relative error = 1.2937501335949294548457974594908e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1060.5MB, alloc=4.3MB, time=72.91 NO POLE NO POLE x[1] = 0.398 y2[1] (analytic) = 1.0781620119530959339741623305114 y2[1] (numeric) = 1.1511843161367930056741893423675 absolute error = 0.0730223041836970717000270118561 relative error = 6.7728507751276451112269703026366 % h = 0.001 y1[1] (analytic) = 1.0781620119530959339741623305114 y1[1] (numeric) = 1.0781620119530959479627032097648 absolute error = 1.39885408792534e-17 relative error = 1.2974433085351511778253174120837e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1064.3MB, alloc=4.3MB, time=73.17 NO POLE NO POLE x[1] = 0.399 y2[1] (analytic) = 1.0785500482501679444184997932385 y2[1] (numeric) = 1.1519599278981284895261901915743 absolute error = 0.0734098796479605451076903983358 relative error = 6.8063489280873168997665060538529 % h = 0.001 y1[1] (analytic) = 1.0785500482501679444184997932385 y1[1] (numeric) = 1.0785500482501679584518485487204 absolute error = 1.40333487554819e-17 relative error = 1.3011309747053005913349473990041e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1068.1MB, alloc=4.3MB, time=73.43 NO POLE NO POLE x[1] = 0.4 y2[1] (analytic) = 1.0789390059971149172014732679482 y2[1] (numeric) = 1.1527373827534368321148352725213 absolute error = 0.0737983767563219149133620045731 relative error = 6.8399025659583255224094156797704 % h = 0.001 y1[1] (analytic) = 1.0789390059971149172014732679482 y1[1] (numeric) = 1.078939005997114931279611028006 absolute error = 1.40781377600578e-17 relative error = 1.3048131249131468455798685177044e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1071.9MB, alloc=4.3MB, time=73.69 NO POLE NO POLE x[1] = 0.401 y2[1] (analytic) = 1.0793288848049791377892544701431 y2[1] (numeric) = 1.1535166799252632429196844459952 absolute error = 0.0741877951202841051304299758521 relative error = 6.8735115093013457654312928715418 % h = 0.001 y1[1] (analytic) = 1.0793288848049791377892544701431 y1[1] (numeric) = 1.0793288848049791519121623183353 absolute error = 1.41229078481922e-17 relative error = 1.3084897520132640567953959259510e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.402 y2[1] (analytic) = 1.0797196842838818308075223843972 y2[1] (numeric) = 1.1542978186343106150557557279667 absolute error = 0.0745781343504287842482333435695 relative error = 6.9071755786218090063598094462593 % h = 0.001 y1[1] (analytic) = 1.0797196842838818308075223843972 y1[1] (numeric) = 1.0797196842838818449751813595121 absolute error = 1.41676589751149e-17 relative error = 1.3121608489069570170940222340468e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1075.7MB, alloc=4.3MB, time=73.94 NO POLE NO POLE x[1] = 0.403 y2[1] (analytic) = 1.0801114040430235499202061487794 y2[1] (numeric) = 1.1550807980994403045705672331492 absolute error = 0.0749693940564167546503610843698 relative error = 6.9408945943719093812699523962443 % h = 0.001 y1[1] (analytic) = 1.0801114040430235499202061487794 y1[1] (numeric) = 1.0801114040430235641325972448544 absolute error = 1.42123910960750e-17 relative error = 1.3158264085422881775496514377642e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1079.5MB, alloc=4.3MB, time=74.21 NO POLE NO POLE x[1] = 0.404 y2[1] (analytic) = 1.0805040436906845686288988243055 y2[1] (numeric) = 1.1558656175376729115827160325957 absolute error = 0.0753615738469883429538172082902 relative error = 6.9746683769526056980395662099424 % h = 0.001 y1[1] (analytic) = 1.0805040436906845686288988243055 y1[1] (numeric) = 1.0805040436906845828860029906458 absolute error = 1.42571041663403e-17 relative error = 1.3194864239139927850203107138550e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1083.3MB, alloc=4.3MB, time=74.47 NO POLE NO POLE x[1] = 0.405 y2[1] (analytic) = 1.0808976028342252719925512500355 y2[1] (numeric) = 1.1566522761641890632612127868207 absolute error = 0.0757546733299637912686615367852 relative error = 7.008496746715619063866149458079 % h = 0.001 y1[1] (analytic) = 1.0808976028342252719925512500355 y1[1] (numeric) = 1.0808976028342252862943493912331 absolute error = 1.43017981411976e-17 relative error = 1.3231408880634767406679659822148e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1087.2MB, alloc=4.3MB, time=74.73 NO POLE NO POLE x[1] = 0.406 y2[1] (analytic) = 1.0812920810800865492670542641556 y2[1] (numeric) = 1.1574407731923301986447891751772 absolute error = 0.0761486921122436493777349110216 relative error = 7.0423795239654261955795640763273 % h = 0.001 y1[1] (analytic) = 1.0812920810800865492670542641556 y1[1] (numeric) = 1.0812920810800865636135272401087 absolute error = 1.43464729759531e-17 relative error = 1.3267897940788229852850291622359e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1091.0MB, alloc=4.3MB, time=74.99 NO POLE NO POLE x[1] = 0.407 y2[1] (analytic) = 1.0816874780337901874643166514964 y2[1] (numeric) = 1.1582311078335993553003933022474 absolute error = 0.076543629799809167836076650751 relative error = 7.0763165289612483815193263990795 % h = 0.001 y1[1] (analytic) = 1.0816874780337901874643166514964 y1[1] (numeric) = 1.0816874780337902018554452774283 absolute error = 1.43911286259319e-17 relative error = 1.3304331350947139419103186612504e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1094.8MB, alloc=4.3MB, time=75.25 NO POLE NO POLE x[1] = 0.408 y2[1] (analytic) = 1.0820837932999392658304452584406 y2[1] (numeric) = 1.1590232792976619578200864228162 absolute error = 0.0769394859977226919896411643756 relative error = 7.1103075819190360639794484506826 % h = 0.001 y1[1] (analytic) = 1.0820837932999392658304452584406 y1[1] (numeric) = 1.0820837932999392802662103049189 absolute error = 1.44357650464783e-17 relative error = 1.3340709042924273355240716954568e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1098.6MB, alloc=4.3MB, time=75.52 NO POLE NO POLE x[1] = 0.409 y2[1] (analytic) = 1.0824810264822185512426327970737 y2[1] (numeric) = 1.1598172867923466081555524885978 absolute error = 0.0773362603101280569129196915241 relative error = 7.1443525030134490114583739646126 % h = 0.001 y1[1] (analytic) = 1.0824810264822185512426327970737 y1[1] (numeric) = 1.0824810264822185657230149900296 absolute error = 1.44803821929559e-17 relative error = 1.3377030948998128227557737597424e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1102.4MB, alloc=4.3MB, time=75.78 NO POLE NO POLE x[1] = 0.41 y2[1] (analytic) = 1.082879177183394894524357941723 y2[1] (numeric) = 1.1606131295236458777894301822706 absolute error = 0.0777339523402509832650722405476 relative error = 7.1784511123798320501863938031303 % h = 0.001 y1[1] (analytic) = 1.082879177183394894524357941723 y1[1] (numeric) = 1.0828791771833949090493379624707 absolute error = 1.45249800207477e-17 relative error = 1.3413297001912679507651422441930e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1106.2MB, alloc=4.3MB, time=76.05 NO POLE NO POLE x[1] = 0.411 y2[1] (analytic) = 1.0832782450053176276785014027179 y2[1] (numeric) = 1.1614108066957171017426752675552 absolute error = 0.0781325616903994740641738648373 relative error = 7.2126032301161863246380176584379 % h = 0.001 y1[1] (analytic) = 1.0832782450053176276785014027179 y1[1] (numeric) = 1.0832782450053176422480598879736 absolute error = 1.45695584852557e-17 relative error = 1.3449507134876672916658986081226e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1110.0MB, alloc=4.3MB, time=76.31 NO POLE NO POLE x[1] = 0.412 y2[1] (analytic) = 1.0836782295489189620379807442877 y2[1] (numeric) = 1.1622103175108831744171592480386 absolute error = 0.0785320879619642123791785037509 relative error = 7.2468086762851360569721109414594 % h = 0.001 y1[1] (analytic) = 1.0836782295489189620379807442877 y1[1] (numeric) = 1.0836782295489189766520982861892 absolute error = 1.46141175419015e-17 relative error = 1.3485661281563832917905925417716e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1113.9MB, alloc=4.3MB, time=76.57 NO POLE NO POLE x[1] = 0.413 y2[1] (analytic) = 1.084079130414214387333505795996 y2[1] (numeric) = 1.1630116611696333472727084922129 absolute error = 0.0789325307554189599392026962169 relative error = 7.2810672709158907755781654607055 % h = 0.001 y1[1] (analytic) = 1.084079130414214387333505795996 y1[1] (numeric) = 1.0840791304142144019921629421221 absolute error = 1.46586571461261e-17 relative error = 1.3521759376112325605191334586715e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1117.7MB, alloc=4.3MB, time=76.83 NO POLE NO POLE x[1] = 0.414 y2[1] (analytic) = 1.0844809472003030716780555899898 y2[1] (numeric) = 1.1638148368706240283377861477554 absolute error = 0.0793338896703209566597305577656 relative error = 7.3153788340062029831428477596814 % h = 0.001 y1[1] (analytic) = 1.0844809472003030716780555899898 y1[1] (numeric) = 1.0844809472003030863812328433796 absolute error = 1.47031772533898e-17 relative error = 1.3557801353124307811161852256329e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1121.5MB, alloc=4.3MB, time=77.10 NO POLE NO POLE x[1] = 0.415 y2[1] (analytic) = 1.0848836795053682624676768396186 y2[1] (numeric) = 1.1646198438106795835530173344349 absolute error = 0.0797361643053113210853404948163 relative error = 7.3497431855243212348869477604254 % h = 0.001 y1[1] (analytic) = 1.0848836795053682624676768396186 y1[1] (numeric) = 1.0848836795053682772153546587912 absolute error = 1.47476778191726e-17 relative error = 1.3593787147665930928645329651337e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1125.3MB, alloc=4.3MB, time=77.36 x[1] = 0.416 y2[1] (analytic) = 1.0852873269266776881982030586595 y2[1] (numeric) = 1.1654266811847931399467562721862 absolute error = 0.0801393542581154517485532135267 relative error = 7.3841601454109385978590206409948 % h = 0.001 y1[1] (analytic) = 1.0852873269266776881982030586595 y1[1] (numeric) = 1.0852873269266777029903618576334 absolute error = 1.47921587989739e-17 relative error = 1.3629716695266692575412798327607e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.417 y2[1] (analytic) = 1.0856918890605839611974925044623 y2[1] (numeric) = 1.1662353481861273906418921688518 absolute error = 0.0805434591255434294443996643895 relative error = 7.4186295335811364624083646911273 % h = 0.001 y1[1] (analytic) = 1.0856918890605839611974925044623 y1[1] (numeric) = 1.085691889060583976034112652775 absolute error = 1.48366201483127e-17 relative error = 1.3665589931919243093676423643848e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1129.1MB, alloc=4.3MB, time=77.62 NO POLE NO POLE x[1] = 0.418 y2[1] (analytic) = 1.0860973655025249812727822128099 y2[1] (numeric) = 1.1670458440060154016930888608528 absolute error = 0.0809484785034904204203066480429 relative error = 7.4531511699263236771964953238495 % h = 0.001 y1[1] (analytic) = 1.0860973655025249812727822128099 y1[1] (numeric) = 1.0860973655025249961538440355376 absolute error = 1.48810618227277e-17 relative error = 1.3701406794079093274841554077120e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1132.9MB, alloc=4.3MB, time=77.88 NO POLE NO POLE x[1] = 0.419 y2[1] (analytic) = 1.0865037558470243402727544771743 y2[1] (numeric) = 1.1678581678339614207536513696163 absolute error = 0.081354411986937080480896892442 relative error = 7.4877248743161709793429485991751 % h = 0.001 y1[1] (analytic) = 1.0865037558470243402727544771743 y1[1] (numeric) = 1.0865037558470243551982382549514 absolute error = 1.49254837777771e-17 relative error = 1.3737167218664039499241843300245e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1136.7MB, alloc=4.3MB, time=78.14 NO POLE NO POLE x[1] = 0.42 y2[1] (analytic) = 1.0869110596876917275639112103343 y2[1] (numeric) = 1.1686723188576416875712107069596 absolute error = 0.0817612591699499600072994966253 relative error = 7.5223504666005406915380647157928 % h = 0.001 y1[1] (analytic) = 1.0869110596876917275639112103343 y1[1] (numeric) = 1.0869110596876917425337971793734 absolute error = 1.49698859690391e-17 relative error = 1.3772871143054227080155137227783e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1140.6MB, alloc=4.3MB, time=78.40 NO POLE NO POLE x[1] = 0.421 y2[1] (analytic) = 1.087319276617223336420850712016 y2[1] (numeric) = 1.169488296262905246311416433815 absolute error = 0.082169019645681909890565721799 relative error = 7.5570277666114116581923511712471 % h = 0.001 y1[1] (analytic) = 1.087319276617223336420850712016 y1[1] (numeric) = 1.0873192766172233514351190641274 absolute error = 1.50142683521114e-17 relative error = 1.3808518505091286671219188623585e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1144.4MB, alloc=4.3MB, time=78.66 NO POLE NO POLE x[1] = 0.422 y2[1] (analytic) = 1.0877284062274022713300404523114 y2[1] (numeric) = 1.1703060992337747597088246486695 absolute error = 0.0825776930063724883787841963581 relative error = 7.5917565941647993929290949540784 % h = 0.001 y1[1] (analytic) = 1.0877284062274022713300404523114 y1[1] (numeric) = 1.0877284062274022863886713349231 absolute error = 1.50586308826117e-17 relative error = 1.3844109243078384875408658006387e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1148.2MB, alloc=4.3MB, time=78.93 NO POLE NO POLE x[1] = 0.423 y2[1] (analytic) = 1.0881384481090989562066785671374 y2[1] (numeric) = 1.1711257269524473250441672548994 absolute error = 0.082987278843348368837488687762 relative error = 7.6265367690626714099640715343525 % h = 0.001 y1[1] (analytic) = 1.0881384481090989562066785671374 y1[1] (numeric) = 1.088138448109098971309652083315 absolute error = 1.51029735161776e-17 relative error = 1.3879643295779716262639962301029e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1152.0MB, alloc=4.3MB, time=79.19 NO POLE NO POLE x[1] = 0.424 y2[1] (analytic) = 1.088549401852271543524235848908 y2[1] (numeric) = 1.171947178599295291947186529799 absolute error = 0.083397776747023748422950680891 relative error = 7.6613681110948577121534739348784 % h = 0.001 y1[1] (analytic) = 1.088549401852271543524235848908 y1[1] (numeric) = 1.0885494018522715586715320573741 absolute error = 1.51472962084661e-17 relative error = 1.3915120602419622006525668151422e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1155.8MB, alloc=4.3MB, time=79.45 NO POLE NO POLE x[1] = 0.425 y2[1] (analytic) = 1.0889612670459663243562691029099 y2[1] (numeric) = 1.1727704533528670820242171925361 absolute error = 0.0838091863069007576679480896262 relative error = 7.6962504400409564087285462165324 % h = 0.001 y1[1] (analytic) = 1.0889612670459663243562691029099 y1[1] (numeric) = 1.0889612670459663395478680180647 absolute error = 1.51915989151548e-17 relative error = 1.3950541102683264585505773573969e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1159.6MB, alloc=4.3MB, time=79.72 NO POLE NO POLE x[1] = 0.426 y2[1] (analytic) = 1.0893740432783181393300958276049 y2[1] (numeric) = 1.1735955503898880103096963435217 absolute error = 0.0842215071115698709796005159168 relative error = 7.7311835756722344359728407708273 % h = 0.001 y1[1] (analytic) = 1.0893740432783181393300958276049 y1[1] (numeric) = 1.0893740432783181545659774195459 absolute error = 1.52358815919410e-17 relative error = 1.3985904736715366199366479221150e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1163.5MB, alloc=4.3MB, time=79.99 NO POLE NO POLE x[1] = 0.427 y2[1] (analytic) = 1.089787730136550790491919265217 y2[1] (numeric) = 1.1744224688852611085407798237511 absolute error = 0.0846347387487103180488605585341 relative error = 7.7661673377535233543355164071741 % h = 0.001 y1[1] (analytic) = 1.089787730136550790491919265217 y1[1] (numeric) = 1.0897877301365508057720634597589 absolute error = 1.52801441945419e-17 relative error = 1.4021211445119952390649989080680e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1167.3MB, alloc=4.3MB, time=80.29 NO POLE NO POLE x[1] = 0.428 y2[1] (analytic) = 1.0902023272069774540829919575135 y2[1] (numeric) = 1.1752512080120679502542417195699 absolute error = 0.0850488808050904961712497620564 relative error = 7.8012015460451101957116429278347 % h = 0.001 y1[1] (analytic) = 1.0902023272069774540829919575135 y1[1] (numeric) = 1.0902023272069774694073786362085 absolute error = 1.53243866786950e-17 relative error = 1.4056461168960272686917651115958e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1171.1MB, alloc=4.3MB, time=80.58 NO POLE NO POLE x[1] = 0.429 y2[1] (analytic) = 1.0906178340750010942264050306518 y2[1] (numeric) = 1.1760817669415694777048319160333 absolute error = 0.0854639328665683834784268853815 relative error = 7.8362860203046233348580663299096 % h = 0.001 y1[1] (analytic) = 1.0906178340750010942264050306518 y1[1] (numeric) = 1.0906178340750011095950140308096 absolute error = 1.53686090001578e-17 relative error = 1.4091653849758072580544663640021e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1174.9MB, alloc=4.3MB, time=80.85 NO POLE NO POLE x[1] = 0.43 y2[1] (analytic) = 1.0910342503251148775240895223366 y2[1] (numeric) = 1.1769141448432068306042647805702 absolute error = 0.0858798945180919530801752582336 relative error = 7.8714205802889133591510056445083 % h = 0.001 y1[1] (analytic) = 1.0910342503251148775240895223366 y1[1] (numeric) = 1.0910342503251148929369006370444 absolute error = 1.54128111147078e-17 relative error = 1.4126789429493135146602168419750e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.431 y2[1] (analytic) = 1.09145157554090258856361515432 y2[1] (numeric) = 1.1777483408846021766800102380331 absolute error = 0.0862967653436995881163950837131 relative error = 7.9066050457559289111291864542183 % h = 0.001 y1[1] (analytic) = 1.09145157554090258856361515432 y1[1] (numeric) = 1.0914515755409026040206081324632 absolute error = 1.54569929781432e-17 relative error = 1.4161867850603458078946607254904e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1178.7MB, alloc=4.3MB, time=81.11 NO POLE NO POLE x[1] = 0.432 y2[1] (analytic) = 1.0918698093050390463343710434825 y2[1] (numeric) = 1.1785843542315595440530566784109 absolute error = 0.0867145449265204977186856349284 relative error = 7.9418392364665874785039561111759 % h = 0.001 y1[1] (analytic) = 1.0918698093050390463343710434825 y1[1] (numeric) = 1.0918698093050390618355255897644 absolute error = 1.55011545462819e-17 relative error = 1.4196889055983866389191288828277e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1182.5MB, alloc=4.3MB, time=81.37 NO POLE NO POLE x[1] = 0.433 y2[1] (analytic) = 1.0922889511992905215527119353457 y2[1] (numeric) = 1.1794221840480656554338133195117 absolute error = 0.087133232848775133881101384166 relative error = 7.9771229721866411065554604559821 % h = 0.001 y1[1] (analytic) = 1.0922889511992905215527119353457 y1[1] (numeric) = 1.0922889511992905370980077103082 absolute error = 1.55452957749625e-17 relative error = 1.4231852988986452354184225048794e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1186.3MB, alloc=4.3MB, time=81.63 NO POLE NO POLE x[1] = 0.434 y2[1] (analytic) = 1.0927090008045151548956526349088 y2[1] (numeric) = 1.1802618294962907641353178287833 absolute error = 0.0875528286917756092396651938745 relative error = 8.0124560726885370080715803098282 % h = 0.001 y1[1] (analytic) = 1.0927090008045151548956526349088 y1[1] (numeric) = 1.0927090008045151704850692549525 absolute error = 1.55894166200437e-17 relative error = 1.4266759593419543259770934389942e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1190.2MB, alloc=4.3MB, time=81.90 NO POLE NO POLE x[1] = 0.435 y2[1] (analytic) = 1.0931299577006633761426924011461 y2[1] (numeric) = 1.1811032897365894919029131911317 absolute error = 0.0879733320359261157602207899856 relative error = 8.0478383577532730462239171363588 % h = 0.001 y1[1] (analytic) = 1.0931299577006633761426924011461 y1[1] (numeric) = 1.0931299577006633917762094385507 absolute error = 1.56335170374046e-17 relative error = 1.4301608813547487917237393648459e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1194.0MB, alloc=4.3MB, time=82.16 NO POLE NO POLE x[1] = 0.436 y2[1] (analytic) = 1.0935518214667783242253501633781 y2[1] (numeric) = 1.1819465639275016685595559931327 absolute error = 0.0883947424607233443342058297546 relative error = 8.0832696471722480660126700555098 % h = 0.001 y1[1] (analytic) = 1.0935518214667783242253501633781 y1[1] (numeric) = 1.093551821466778339902947146323 absolute error = 1.56775969829449e-17 relative error = 1.4336400594090345312741419772374e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1197.8MB, alloc=4.3MB, time=82.42 NO POLE NO POLE x[1] = 0.437 y2[1] (analytic) = 1.0939745916809962681839905100158 y2[1] (numeric) = 1.1827916512257531734659164783967 absolute error = 0.0888170595447569052819259683809 relative error = 8.1187497607491070501497499071573 % h = 0.001 y1[1] (analytic) = 1.0939745916809962681839905100158 y1[1] (numeric) = 1.0939745916809962839056469226003 absolute error = 1.57216564125845e-17 relative error = 1.4371134880223018613966459921258e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1201.6MB, alloc=4.3MB, time=82.69 NO POLE NO POLE x[1] = 0.438 y2[1] (analytic) = 1.0943982679205470290315194928856 y2[1] (numeric) = 1.1836385507862567787944289140572 absolute error = 0.0892402828657097497629094211716 relative error = 8.1542785183015810754869194327526 % h = 0.001 y1[1] (analytic) = 1.0943982679205470290315194928856 y1[1] (numeric) = 1.0943982679205470447972147751498 absolute error = 1.57656952822642e-17 relative error = 1.4405811617575389412283514897244e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1205.4MB, alloc=4.3MB, time=82.94 NO POLE NO POLE x[1] = 0.439 y2[1] (analytic) = 1.0948228497617544025235283834771 y2[1] (numeric) = 1.1844872617621129946164489944035 absolute error = 0.0896644120003585920929206109264 relative error = 8.1898557396633220463331210487054 % h = 0.001 y1[1] (analytic) = 1.0948228497617544025235283834771 y1[1] (numeric) = 1.094822849761754418333241931422 absolute error = 1.58097135479449e-17 relative error = 1.4440430752231074691565769618022e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1209.2MB, alloc=4.3MB, time=83.21 NO POLE NO POLE x[1] = 0.44 y2[1] (analytic) = 1.0952483367800365828344626110016 y2[1] (numeric) = 1.1853377833046109158016731945697 absolute error = 0.0900894465245743329672105835681 relative error = 8.2254812446857321812424443672481 % h = 0.001 y1[1] (analytic) = 1.0952483367800365828344626110016 y1[1] (numeric) = 1.0952483367800365986881737766102 absolute error = 1.58537111656086e-17 relative error = 1.4474992230727823286816364119973e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1213.0MB, alloc=4.3MB, time=83.47 NO POLE NO POLE x[1] = 0.441 y2[1] (analytic) = 1.0956747285499065871393922061318 y2[1] (numeric) = 1.1861901145632290707289731749319 absolute error = 0.0905153860133224835895809688001 relative error = 8.2611548532397882300913838742917 % h = 0.001 y1[1] (analytic) = 1.0956747285499065871393922061318 y1[1] (numeric) = 1.0956747285499066030370802973892 absolute error = 1.58976880912574e-17 relative error = 1.4509496000056079210304190766689e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1216.9MB, alloc=4.3MB, time=83.74 NO POLE NO POLE x[1] = 0.442 y2[1] (analytic) = 1.0961020246449726811009591686834 y2[1] (numeric) = 1.1870442546856362718077965254496 absolute error = 0.0909422300406635907068373567662 relative error = 8.2968763852178603985011323579077 % h = 0.001 y1[1] (analytic) = 1.0961020246449726811009591686834 y1[1] (numeric) = 1.0961020246449726970426034495979 absolute error = 1.59416442809145e-17 relative error = 1.4543942007659366140850289854863e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1220.7MB, alloc=4.3MB, time=84.00 NO POLE NO POLE x[1] = 0.443 y2[1] (analytic) = 1.0965302246379388052610762723304 y2[1] (numeric) = 1.1879002028176924678092833286215 absolute error = 0.0913699781797536625482070562911 relative error = 8.3326456605355259568976372076886 % h = 0.001 y1[1] (analytic) = 1.0965302246379388052610762723304 y1[1] (numeric) = 1.0965302246379388212466559629542 absolute error = 1.59855796906238e-17 relative error = 1.4578330201433387438115996175984e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1224.5MB, alloc=4.3MB, time=84.27 NO POLE NO POLE x[1] = 0.444 y2[1] (analytic) = 1.0969593281006050023369509146883 y2[1] (numeric) = 1.1887579581034495980062462100101 absolute error = 0.0917986300028445956692952953218 relative error = 8.3684624991333775117390040515039 % h = 0.001 y1[1] (analytic) = 1.0969593281006050023369509146883 y1[1] (numeric) = 1.0969593281006050183664451911381 absolute error = 1.60294942764498e-17 relative error = 1.4612660529725394935752719403939e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.445 y2[1] (analytic) = 1.0973893346038678454210067167782 y2[1] (numeric) = 1.1896175196851524481211597364265 absolute error = 0.0922281850812846027001530196483 relative error = 8.4043267209788259166765548938402 % h = 0.001 y1[1] (analytic) = 1.0973893346038678454210067167782 y1[1] (numeric) = 1.0973893346038678614943947112561 absolute error = 1.60733879944779e-17 relative error = 1.4646932941333916922041743677432e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1228.3MB, alloc=4.3MB, time=84.52 NO POLE NO POLE x[1] = 0.446 y2[1] (analytic) = 1.0978202437177208670842746719854 y2[1] (numeric) = 1.190478886703239508081303213857 absolute error = 0.0926586429855186409970285418716 relative error = 8.440238146067897801652425564585 % h = 0.001 y1[1] (analytic) = 1.0978202437177208670842746719854 y1[1] (numeric) = 1.0978202437177208832015354727998 absolute error = 1.61172608008144e-17 relative error = 1.4681147385508206709831108264891e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1232.1MB, alloc=4.3MB, time=84.79 NO POLE NO POLE x[1] = 0.447 y2[1] (analytic) = 1.0982520550112549893828247411573 y2[1] (numeric) = 1.1913420582963438315801991300603 absolute error = 0.093090003285088842197374388903 relative error = 8.4761965944270276981730095328567 % h = 0.001 y1[1] (analytic) = 1.0982520550112549893828247411573 y1[1] (numeric) = 1.0982520550112550055439373927439 absolute error = 1.61611126515866e-17 relative error = 1.4715303811947776789574491013175e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1235.9MB, alloc=4.3MB, time=85.05 NO POLE NO POLE x[1] = 0.448 y2[1] (analytic) = 1.0986847680526589547668078874449 y2[1] (numeric) = 1.1922070336012938974444876804687 absolute error = 0.0935222655486349426776797930238 relative error = 8.5122018861148447392338117030702 % h = 0.001 y1[1] (analytic) = 1.0986847680526589547668078874449 y1[1] (numeric) = 1.0986847680526589709717513903875 absolute error = 1.62049435029426e-17 relative error = 1.4749402170801654272365681531757e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1239.7MB, alloc=4.3MB, time=85.31 NO POLE NO POLE x[1] = 0.449 y2[1] (analytic) = 1.0991183824092197578916776418816 y2[1] (numeric) = 1.1930738117531144728053760105899 absolute error = 0.0939554293438947149136983687083 relative error = 8.5482538412239539126073564665264 % h = 0.001 y1[1] (analytic) = 1.0991183824092197578916776418816 y1[1] (numeric) = 1.0991183824092197741404309529331 absolute error = 1.62487533110515e-17 relative error = 1.4783442412667995279768184407015e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1243.6MB, alloc=4.3MB, time=85.58 NO POLE NO POLE x[1] = 0.45 y2[1] (analytic) = 1.0995528976473230783311593885136 y2[1] (numeric) = 1.1939423918850274780737990035332 absolute error = 0.0943894942377043997426396150196 relative error = 8.5843522798827118464416888701472 % h = 0.001 y1[1] (analytic) = 1.0995528976473230783311593885136 y1[1] (numeric) = 1.099552897647323094623701420617 absolute error = 1.62925420321034e-17 relative error = 1.4817424488593511629030925038323e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1247.4MB, alloc=4.3MB, time=85.87 NO POLE NO POLE x[1] = 0.451 y2[1] (analytic) = 1.0999883133324537141915346561489 y2[1] (numeric) = 1.1948127731284528537184266375702 absolute error = 0.0948244597959991395268919814213 relative error = 8.6204970222569971063527061842931 % h = 0.001 y1[1] (analytic) = 1.0999883133324537141915346561489 y1[1] (numeric) = 1.0999883133324537305278442784588 absolute error = 1.63363096223099e-17 relative error = 1.4851348350073346715880785737327e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1251.2MB, alloc=4.3MB, time=86.14 NO POLE NO POLE x[1] = 0.452 y2[1] (analytic) = 1.1004246290291960166268068024775 y2[1] (numeric) = 1.1956849546130094288456511357955 absolute error = 0.095260325583813412218844333318 relative error = 8.6566878885519749834290493673449 % h = 0.001 y1[1] (analytic) = 1.1004246290291960166268068024775 y1[1] (numeric) = 1.1004246290291960330068628403806 absolute error = 1.63800560379031e-17 relative error = 1.4885213949049581882858759482525e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1255.0MB, alloc=4.3MB, time=86.40 NO POLE NO POLE x[1] = 0.453 y2[1] (analytic) = 1.100861844301234325254313575431 y2[1] (numeric) = 1.196558935466515791580685327973 absolute error = 0.095697091165281466326371752542 relative error = 8.6929246990138567528035599610298 % h = 0.001 y1[1] (analytic) = 1.100861844301234325254313575431 y1[1] (numeric) = 1.1008618443012343416780948105677 absolute error = 1.64237812351367e-17 relative error = 1.4919021237911647252934411720041e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1258.8MB, alloc=4.3MB, time=86.67 NO POLE NO POLE x[1] = 0.454 y2[1] (analytic) = 1.101299958711353404470351136208 y2[1] (numeric) = 1.1974347148149911612489018435408 absolute error = 0.0961347561036377567785507073328 relative error = 8.7292072739316533826803578945322 % h = 0.001 y1[1] (analytic) = 1.101299958711353404470351136208 y1[1] (numeric) = 1.1012999587113534209378363064936 absolute error = 1.64674851702856e-17 relative error = 1.4952770169495362891557255653864e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1262.6MB, alloc=4.3MB, time=86.93 NO POLE NO POLE x[1] = 0.455 y2[1] (analytic) = 1.1017389718214388806653732283767 y2[1] (numeric) = 1.1983122917826562623565409545095 absolute error = 0.0965733199612173816911677261328 relative error = 8.7655354336389236739414096809882 % h = 0.001 y1[1] (analytic) = 1.1017389718214388806653732283767 y1[1] (numeric) = 1.1017389718214388971765410280224 absolute error = 1.65111677996457e-17 relative error = 1.4986460697082157130895593818887e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1266.4MB, alloc=4.3MB, time=87.19 NO POLE NO POLE x[1] = 0.456 y2[1] (analytic) = 1.1021788831924776803383282778904 y2[1] (numeric) = 1.199191665491934200369913087618 absolute error = 0.0970127822994565200315848097276 relative error = 8.8019089985155168106910247702699 % h = 0.001 y1[1] (analytic) = 1.1021788831924776803383282778904 y1[1] (numeric) = 1.1021788831924776968931573574248 absolute error = 1.65548290795344e-17 relative error = 1.5020092774398915229731552822672e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1270.3MB, alloc=4.3MB, time=87.45 NO POLE NO POLE x[1] = 0.457 y2[1] (analytic) = 1.1026196923845584691096963097179 y2[1] (numeric) = 1.2000728350634513392922202266176 absolute error = 0.0974531426788928701825239168997 relative error = 8.8383277889893093023310306567324 % h = 0.001 y1[1] (analytic) = 1.1026196923845584691096963097179 y1[1] (numeric) = 1.1026196923845584857081652760085 absolute error = 1.65984689662906e-17 relative error = 1.5053666355617368306347682794120e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1274.1MB, alloc=4.3MB, time=87.71 NO POLE NO POLE x[1] = 0.458 y2[1] (analytic) = 1.1030613989568720916327866680871 y2[1] (numeric) = 1.2009557996160381810371186279362 absolute error = 0.0978944006591660894043319598491 relative error = 8.8747916255379362979934250739983 % h = 0.001 y1[1] (analytic) = 1.1030613989568720916327866680871 y1[1] (numeric) = 1.1030613989568721082748740843613 absolute error = 1.66420874162742e-17 relative error = 1.5087181395353023840822763655689e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1277.9MB, alloc=4.3MB, time=87.97 x[1] = 0.459 y2[1] (analytic) = 1.1035040024677120124028566290802 y2[1] (numeric) = 1.2018405582667302465981434762329 absolute error = 0.0983365557990182341952868471527 relative error = 8.9113003286905172543910766476409 % h = 0.001 y1[1] (analytic) = 1.1035040024677120124028566290802 y1[1] (numeric) = 1.103504002467712029088541014947 absolute error = 1.66856843858668e-17 relative error = 1.5120637848665179596680799480453e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.46 y2[1] (analytic) = 1.1039475024744747574636100964996 y2[1] (numeric) = 1.2027271101307689590131143104922 absolute error = 0.0987796076562942015495042139926 relative error = 8.9478537190293759383805341939999 % h = 0.001 y1[1] (analytic) = 1.1039475024744747574636100964996 y1[1] (numeric) = 1.1039475024744747741928699279712 absolute error = 1.67292598314716e-17 relative error = 1.5154035671056206258239905562523e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1281.7MB, alloc=4.3MB, time=88.24 NO POLE NO POLE x[1] = 0.461 y2[1] (analytic) = 1.104391898533660357010634674543 y2[1] (numeric) = 1.2036154543216025281226382563252 absolute error = 0.0992235557879421711120035817822 relative error = 8.9844516171917547457641999871343 % h = 0.001 y1[1] (analytic) = 1.104391898533660357010634674543 y1[1] (numeric) = 1.104391898533660373783448384056 absolute error = 1.67728137095130e-17 relative error = 1.5187374818470553586332703602262e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1285.5MB, alloc=4.3MB, time=88.50 NO POLE NO POLE x[1] = 0.462 y2[1] (analytic) = 1.1048371902008727888913345138855 y2[1] (numeric) = 1.2045055899508868371218263060494 absolute error = 0.0996683997500140482304917921639 relative error = 9.0210938438715233180920143696784 % h = 0.001 y1[1] (analytic) = 1.1048371902008727888913345138855 y1[1] (numeric) = 1.1048371902008728057076804903227 absolute error = 1.68163459764372e-17 relative error = 1.5220655247294657533860167521879e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1289.3MB, alloc=4.3MB, time=88.76 NO POLE NO POLE x[1] = 0.463 y2[1] (analytic) = 1.1052833770308204230009154312754 y2[1] (numeric) = 1.2053975161284863309043360949036 absolute error = 0.1001141390976659079034206636282 relative error = 9.0577802198208814394553787244049 % h = 0.001 y1[1] (analytic) = 1.1052833770308204230009154312754 y1[1] (numeric) = 1.1052833770308204398607720199873 absolute error = 1.68598565887119e-17 relative error = 1.5253876914356026781261950170453e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1293.2MB, alloc=4.3MB, time=89.02 NO POLE NO POLE x[1] = 0.464 y2[1] (analytic) = 1.1057304585773164665739779066934 y2[1] (numeric) = 1.2062912319624749061978528294297 absolute error = 0.1005607733851584396238749227363 relative error = 9.0945105658520561954983017886831 % h = 0.001 y1[1] (analytic) = 1.1057304585773164665739779066934 y1[1] (numeric) = 1.1057304585773164834773234095199 absolute error = 1.69033455028265e-17 relative error = 1.5287039776922777152631433481450e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1297.0MB, alloc=4.3MB, time=89.28 NO POLE NO POLE x[1] = 0.465 y2[1] (analytic) = 1.1061784343932794103712726665209 y2[1] (numeric) = 1.2071867365591368034901182326151 absolute error = 0.1010083021658573931188455660942 relative error = 9.131284702838993377102681382319 % h = 0.001 y1[1] (analytic) = 1.1061784343932794103712726665209 y1[1] (numeric) = 1.106178434393279427318085341813 absolute error = 1.69468126752921e-17 relative error = 1.5320143792702979854335741949788e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1300.8MB, alloc=4.3MB, time=89.55 NO POLE NO POLE x[1] = 0.466 y2[1] (analytic) = 1.1066273040307334757611726659979 y2[1] (numeric) = 1.2080840290229675007446155798397 absolute error = 0.1014567249922340249834429138418 relative error = 9.1681024517190431114362206992625 % h = 0.001 y1[1] (analytic) = 1.1066273040307334757611726659979 y1[1] (numeric) = 1.1066273040307334927514307286393 absolute error = 1.69902580626414e-17 relative error = 1.5353188919843914442648951945512e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1304.6MB, alloc=4.3MB, time=89.81 NO POLE NO POLE x[1] = 0.467 y2[1] (analytic) = 1.1070770670408090626954143895363 y2[1] (numeric) = 1.2089831084566746089050171100186 absolute error = 0.1019060414158655462096027204823 relative error = 9.2049636334946397032827163188094 % h = 0.001 y1[1] (analytic) = 1.1070770670408090626954143895363 y1[1] (numeric) = 1.1070770670408090797290960109655 absolute error = 1.70336816214292e-17 relative error = 1.5386175116931859103364935781689e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1308.4MB, alloc=4.3MB, time=90.07 NO POLE NO POLE x[1] = 0.468 y2[1] (analytic) = 1.107527722973743198578660493185 y2[1] (numeric) = 1.2098839739611787691874983075664 absolute error = 0.1023562509874355706088378143814 relative error = 9.2418680692349756698053350226455 % h = 0.001 y1[1] (analytic) = 1.107527722973743198578660493185 y1[1] (numeric) = 1.1075277229737432156557438014169 absolute error = 1.70770833082319e-17 relative error = 1.5419102342990972071870407414816e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1312.2MB, alloc=4.3MB, time=90.33 NO POLE NO POLE x[1] = 0.469 y2[1] (analytic) = 1.1079792713788799880314349197206 y2[1] (numeric) = 1.2107866246356145521600217629445 absolute error = 0.1028073532567345641285868432239 relative error = 9.2788155800776699521240094292335 % h = 0.001 y1[1] (analytic) = 1.1079792713788799880314349197206 y1[1] (numeric) = 1.1079792713788800051518979993684 absolute error = 1.71204630796478e-17 relative error = 1.5451970557482891374525360909766e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1316.0MB, alloc=4.3MB, time=90.60 NO POLE NO POLE x[1] = 0.47 y2[1] (analytic) = 1.1084317118046710635459807234666 y2[1] (numeric) = 1.2116910595773313586076915325818 absolute error = 0.1032593477726602950617108091152 relative error = 9.3158059872304302873182195106774 % h = 0.001 y1[1] (analytic) = 1.1084317118046710635459807234666 y1[1] (numeric) = 1.1084317118046710807098016157637 absolute error = 1.71638208922971e-17 relative error = 1.5484779720306058470106409659644e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1319.9MB, alloc=4.3MB, time=90.86 NO POLE NO POLE x[1] = 0.471 y2[1] (analytic) = 1.1088850437986760370345899490213 y2[1] (numeric) = 1.2125972778818943221832771328898 absolute error = 0.1037122340832182851486871838685 relative error = 9.3528391119727097246961794430938 % h = 0.001 y1[1] (analytic) = 1.1088850437986760370345899490213 y1[1] (numeric) = 1.1088850437986760542417466518433 absolute error = 1.72071567028220e-17 relative error = 1.5517529791795127316297368468225e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1323.7MB, alloc=4.3MB, time=91.14 NO POLE NO POLE x[1] = 0.472 y2[1] (analytic) = 1.109339266907562952269954015601 y2[1] (numeric) = 1.2135052786430852138420045179234 absolute error = 0.1041660117355222615720505023224 relative error = 9.3899147756573572704008082298932 % h = 0.001 y1[1] (analytic) = 1.109339266907562952269954015601 y1[1] (numeric) = 1.1093392669075629695204244834878 absolute error = 1.72504704678868e-17 relative error = 1.5550220732720368489474215413633e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1327.5MB, alloc=4.3MB, time=91.42 NO POLE NO POLE x[1] = 0.473 y2[1] (analytic) = 1.1097943806771087382170821666872 y2[1] (numeric) = 1.214415060952903348059709605972 absolute error = 0.1046206802757946098426274392848 relative error = 9.4270327997122626446518194662712 % h = 0.001 y1[1] (analytic) = 1.1097943806771087382170821666872 y1[1] (numeric) = 1.1097943806771087555108443108647 absolute error = 1.72937621441775e-17 relative error = 1.5582852504286617853479839400650e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.474 y2[1] (analytic) = 1.1102503846521996632563346530956 y2[1] (numeric) = 1.215326623901566490833448137002 absolute error = 0.1050762392493668275771134839064 relative error = 9.4641930056419951361518118900854 % h = 0.001 y1[1] (analytic) = 1.1102503846521996632563346530956 y1[1] (numeric) = 1.1102503846521996805933663414982 absolute error = 1.73370316884026e-17 relative error = 1.5615425068133302288467331564196e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1331.3MB, alloc=4.3MB, time=91.68 NO POLE NO POLE x[1] = 0.475 y2[1] (analytic) = 1.1107072783768317902971164264731 y2[1] (numeric) = 1.2162399665775117694636538604175 absolute error = 0.1055326882006799791665374339444 relative error = 9.5013952150294365384123694633614 % h = 0.001 y1[1] (analytic) = 1.1107072783768317902971164264731 y1[1] (numeric) = 1.1107072783768318076773954837657 absolute error = 1.73802790572926e-17 relative error = 1.5647938386333288583546182355579e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1335.1MB, alloc=4.3MB, time=91.94 NO POLE NO POLE x[1] = 0.476 y2[1] (analytic) = 1.1111650613941114327817762295659 y2[1] (numeric) = 1.2171550880673965841169352710564 absolute error = 0.1059900266732851513351590414905 relative error = 9.5386392495374081529838791939989 % h = 0.001 y1[1] (analytic) = 1.1111650613941114327817762295659 y1[1] (numeric) = 1.111165061394111450205280437166 absolute error = 1.74235042076001e-17 relative error = 1.5680392421392268809129328302913e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1338.9MB, alloc=4.3MB, time=92.20 NO POLE NO POLE x[1] = 0.477 y2[1] (analytic) = 1.1116237332462556115792550793985 y2[1] (numeric) = 1.218071987456099521168599330701 absolute error = 0.1064482542098439095893442513025 relative error = 9.5759249309102918448000383504334 % h = 0.001 y1[1] (analytic) = 1.1116237332462556115792550793985 y1[1] (numeric) = 1.1116237332462556290459621754983 absolute error = 1.74667070960998e-17 relative error = 1.5712787136248050934828848431311e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1342.7MB, alloc=4.3MB, time=92.47 NO POLE NO POLE x[1] = 0.478 y2[1] (analytic) = 1.1120832934745925127680272497516 y2[1] (numeric) = 1.2189906638267212683239888326561 absolute error = 0.1069073703521287555559615829045 relative error = 9.6132520809756451350748418248683 % h = 0.001 y1[1] (analytic) = 1.1120832934745925127680272497516 y1[1] (numeric) = 1.1120832934745925302779149293406 absolute error = 1.75098876795890e-17 relative error = 1.5745122494270294510758262236463e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1346.6MB, alloc=4.3MB, time=92.73 NO POLE NO POLE x[1] = 0.479 y2[1] (analytic) = 1.1125437416195619463078759700387 y2[1] (numeric) = 1.2199111162605855315177182881322 absolute error = 0.1073673746410235852098423180935 relative error = 9.6506205216458103174162069118752 % h = 0.001 y1[1] (analytic) = 1.1125437416195619463078759700387 y1[1] (numeric) = 1.1125437416195619638609218849258 absolute error = 1.75530459148871e-17 relative error = 1.5777398459259341878681602840129e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1350.4MB, alloc=4.3MB, time=93.00 NO POLE NO POLE x[1] = 0.48 y2[1] (analytic) = 1.1130050772207158056000451688413 y2[1] (numeric) = 1.2208333438372399535898914352763 absolute error = 0.107828266616524147989846266435 relative error = 9.6880300749195175830462985101923 % h = 0.001 y1[1] (analytic) = 1.1130050772207158056000451688413 y1[1] (numeric) = 1.1130050772207158231962269276771 absolute error = 1.75961817588358e-17 relative error = 1.5809614995445674943721441283030e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1354.2MB, alloc=4.3MB, time=93.25 NO POLE NO POLE x[1] = 0.481 y2[1] (analytic) = 1.1134672998167185279353077019906 y2[1] (numeric) = 1.2217573456344570347383816947072 absolute error = 0.1082900458177385068030739927166 relative error = 9.7254805628834821412440546119779 % h = 0.001 y1[1] (analytic) = 1.1134672998167185279353077019906 y1[1] (numeric) = 1.11346729981671854557460287029 absolute error = 1.76392951682994e-17 relative error = 1.5841772067489456856652001937331e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1358.0MB, alloc=4.3MB, time=93.51 NO POLE NO POLE x[1] = 0.482 y2[1] (analytic) = 1.1139304089453475558294896171662 y2[1] (numeric) = 1.2226831207282350547462551193531 absolute error = 0.1087527117828874989167655021869 relative error = 9.7629718077139953213503718763595 % h = 0.001 y1[1] (analytic) = 1.1139304089453475558294896171662 y1[1] (numeric) = 1.1139304089453475735118757173304 absolute error = 1.76823861001642e-17 relative error = 1.5873869640479260652176210152646e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1361.8MB, alloc=4.3MB, time=93.78 NO POLE NO POLE x[1] = 0.483 y2[1] (analytic) = 1.1143944041434937992459891195241 y2[1] (numeric) = 1.2236106681927989969834136112447 absolute error = 0.1092162640493051977374244917206 relative error = 9.8005036316785096429008861188544 % h = 0.001 y1[1] (analytic) = 1.1143944041434937992459891195241 y1[1] (numeric) = 1.1143944041434938169714436308636 absolute error = 1.77254545113395e-17 relative error = 1.5905907679932230597014526953486e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1365.6MB, alloc=4.3MB, time=94.04 NO POLE NO POLE x[1] = 0.484 y2[1] (analytic) = 1.1148592849471620987048280158762 y2[1] (numeric) = 1.2245399871006014741815344036981 absolute error = 0.1096807021534393754767063878219 relative error = 9.8380758571372178406752647824812 % h = 0.001 y1[1] (analytic) = 1.1148592849471620987048280158762 y1[1] (numeric) = 1.1148592849471621164733283746331 absolute error = 1.77685003587569e-17 relative error = 1.5937886151792712077867398100789e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1369.4MB, alloc=4.3MB, time=94.31 NO POLE NO POLE x[1] = 0.485 y2[1] (analytic) = 1.1153250508914716892777725284065 y2[1] (numeric) = 1.2254710765223236559813800340243 absolute error = 0.1101460256308519667036075056178 relative error = 9.8756883065446258316754100583322 % h = 0.001 y1[1] (analytic) = 1.1153250508914716892777725284065 y1[1] (numeric) = 1.1153250508914717070892961277769 absolute error = 1.78115235993704e-17 relative error = 1.5969805022431596008012416739436e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1373.3MB, alloc=4.3MB, time=94.57 NO POLE NO POLE x[1] = 0.486 y2[1] (analytic) = 1.115791701510656665469059482842 y2[1] (numeric) = 1.2264039355268761982515512595333 absolute error = 0.1106122340162195327824917766913 relative error = 9.9133408024511196112679445290923 % h = 0.001 y1[1] (analytic) = 1.115791701510656665469059482842 y1[1] (numeric) = 1.1157917015106566833235836729989 absolute error = 1.78545241901569e-17 relative error = 1.6001664258646017199337813572501e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1377.1MB, alloc=4.3MB, time=94.83 NO POLE NO POLE x[1] = 0.487 y2[1] (analytic) = 1.1162592363380664469812629903921 y2[1] (numeric) = 1.2273385631814001741777535981574 absolute error = 0.1110793268433337271964906077653 relative error = 9.9510331675045260659488083259755 % h = 0.001 y1[1] (analytic) = 1.1162592363380664469812629903921 y1[1] (numeric) = 1.1162592363380664648787650785079 absolute error = 1.78975020881158e-17 relative error = 1.6033463827658241074549977811287e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.488 y2[1] (analytic) = 1.1167276549061662453658358576272 y2[1] (numeric) = 1.2282749585512680071216464045044 memory used=1380.9MB, alloc=4.3MB, time=95.09 absolute error = 0.1115473036451017617558105468772 relative error = 9.9887652244516676904097301956754 % h = 0.001 y1[1] (analytic) = 1.1167276549061662453658358576272 y1[1] (numeric) = 1.1167276549061662633062931078964 absolute error = 1.79404572502692e-17 relative error = 1.6065203697115084323637497324035e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.489 y2[1] (analytic) = 1.117196956746537531557859073795 y2[1] (numeric) = 1.2292131207000844052483416225694 absolute error = 0.1120161639535468736904825487744 relative error = 10.026536796139911196807737016023 % h = 0.001 y1[1] (analytic) = 1.117196956746537531557859073795 y1[1] (numeric) = 1.1171969567465375495412487074569 absolute error = 1.79833896336619e-17 relative error = 1.6096883835087151880836698017132e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1384.7MB, alloc=4.3MB, time=95.35 NO POLE NO POLE x[1] = 0.49 y2[1] (analytic) = 1.1176671413898785042945318408633 y2[1] (numeric) = 1.2301530486896872979216175876844 absolute error = 0.1124859072998087936270857468211 relative error = 10.06434770551871000435972969595 % h = 0.001 y1[1] (analytic) = 1.1176671413898785042945318408633 y1[1] (numeric) = 1.1176671413898785223208310362248 absolute error = 1.80262991953615e-17 relative error = 1.6128504210068159194518689281073e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1388.5MB, alloc=4.3MB, time=95.62 NO POLE NO POLE x[1] = 0.491 y2[1] (analytic) = 1.1181382083660045594169337278386 y2[1] (numeric) = 1.2310947415801487738659114825701 absolute error = 0.1129565332141442144489777547315 relative error = 10.102197775641140597604470634909 % h = 0.001 y1[1] (analytic) = 1.1181382083660045594169337278386 y1[1] (numeric) = 1.1181382083660045774861196202971 absolute error = 1.80691858924585e-17 relative error = 1.6160064790974250122423476247198e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1392.3MB, alloc=4.3MB, time=95.88 NO POLE NO POLE x[1] = 0.492 y2[1] (analytic) = 1.1186101572038487600545896476376 y2[1] (numeric) = 1.2320381984297760210941522855755 absolute error = 0.1134280412259272610395626379379 relative error = 10.140086829665432741894091658463 % h = 0.001 y1[1] (analytic) = 1.1186101572038487600545896476376 y1[1] (numeric) = 1.1186101572038487781666393297038 absolute error = 1.81120496820662e-17 relative error = 1.6191565547143131688792862628015e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1396.2MB, alloc=4.3MB, time=96.15 NO POLE NO POLE x[1] = 0.493 y2[1] (analytic) = 1.1190829874314623076923674719854 y2[1] (numeric) = 1.2329834182951122686004942833502 absolute error = 0.1139004308636499609081268113648 relative error = 10.17801469085649354489643431987 % h = 0.001 y1[1] (analytic) = 1.1190829874314623076923674719854 y1[1] (numeric) = 1.1190829874314623258472579933062 absolute error = 1.81548905213208e-17 relative error = 1.6223006448333383697570160631970e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1400.0MB, alloc=4.3MB, time=96.43 NO POLE NO POLE x[1] = 0.494 y2[1] (analytic) = 1.1195566985760150141192372174827 y2[1] (numeric) = 1.2339304002309377298170094552955 absolute error = 0.1143737016549227156977722378128 relative error = 10.215981182587425353108169462462 % h = 0.001 y1[1] (analytic) = 1.1195566985760150141192372174827 y1[1] (numeric) = 1.1195566985760150323169455848641 absolute error = 1.81977083673814e-17 relative error = 1.6254387464723674740595978333368e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1403.8MB, alloc=4.3MB, time=96.71 NO POLE NO POLE x[1] = 0.495 y2[1] (analytic) = 1.1200312901637957742584198541208 y2[1] (numeric) = 1.2348791432902705478333952731793 absolute error = 0.1148478531264747735749754190585 relative error = 10.253986128341037472596702845347 % h = 0.001 y1[1] (analytic) = 1.1200312901637957742584198541208 y1[1] (numeric) = 1.1200312901637957924989230315511 absolute error = 1.82405031774303e-17 relative error = 1.6285708566912242028466569085545e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1407.6MB, alloc=4.3MB, time=96.99 NO POLE NO POLE x[1] = 0.496 y2[1] (analytic) = 1.1205067617202130398784529061372 y2[1] (numeric) = 1.2358296465243677423787526962867 absolute error = 0.1153228848041547025002997901495 relative error = 10.292029351711351703406351387273 % h = 0.001 y1[1] (analytic) = 1.1205067617202130398784529061372 y1[1] (numeric) = 1.1205067617202130581617278148099 absolute error = 1.82832749086727e-17 relative error = 1.6316969725915831071092905945432e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1411.4MB, alloc=4.3MB, time=97.28 NO POLE NO POLE x[1] = 0.497 y2[1] (analytic) = 1.1209831127697952941846991341835 y2[1] (numeric) = 1.2367819089827261585644873804064 absolute error = 0.1157987962129308643797882462229 relative error = 10.330110676405101677281163193452 % h = 0.001 y1[1] (analytic) = 1.1209831127697952941846991341835 y1[1] (numeric) = 1.1209831127697953125107226525202 absolute error = 1.83260235183367e-17 relative error = 1.6348170913168899695712280609216e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1415.2MB, alloc=4.3MB, time=97.56 NO POLE NO POLE x[1] = 0.498 y2[1] (analytic) = 1.1214603428361915272908237073372 y2[1] (numeric) = 1.2377359297130834173873853578316 absolute error = 0.1162755868768918900965616504944 relative error = 10.368229926243225988573047080585 % h = 0.001 y1[1] (analytic) = 1.1214603428361915272908237073372 y1[1] (numeric) = 1.121460342836191545659572671011 absolute error = 1.83687489636738e-17 relative error = 1.6379312100523263977078185549673e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1419.0MB, alloc=4.3MB, time=97.84 NO POLE NO POLE x[1] = 0.499 y2[1] (analytic) = 1.1219384514421717125697643935207 y2[1] (numeric) = 1.2386917077614188679919126853784 absolute error = 0.1167532563192471554221482918577 relative error = 10.40638692516235510841956696105 % h = 0.001 y1[1] (analytic) = 1.1219384514421717125697643935207 y1[1] (numeric) = 1.1219384514421717309812155954793 absolute error = 1.84114512019586e-17 relative error = 1.6410393260247026071640763451856e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1422.9MB, alloc=4.3MB, time=98.12 NO POLE NO POLE x[1] = 0.5 y2[1] (analytic) = 1.1224174381096272838837184173962 y2[1] (numeric) = 1.2396492421719545416907867982013 absolute error = 0.1172318040623272578070683808051 relative error = 10.444581497216292072490836413914 % h = 0.001 y1[1] (analytic) = 1.1224174381096272838837184173962 y1[1] (numeric) = 1.1224174381096273023378486078849 absolute error = 1.84541301904887e-17 relative error = 1.6441414365023677046574630438253e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1426.7MB, alloc=4.3MB, time=98.40 NO POLE NO POLE x[1] = 0.501 y2[1] (analytic) = 1.1228973023595716136926687557886 y2[1] (numeric) = 1.2406085319871561077428655489146 absolute error = 0.117711229627584494050196793126 relative error = 10.48281346657748693281941235408 % h = 0.001 y1[1] (analytic) = 1.1228973023595716136926687557886 y1[1] (numeric) = 1.1228973023595716321894546423739 absolute error = 1.84967858865853e-17 relative error = 1.6472375387951819480284728423307e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1430.5MB, alloc=4.3MB, time=98.68 NO POLE NO POLE x[1] = 0.502 y2[1] (analytic) = 1.1233780437121404920409717621522 y2[1] (numeric) = 1.2415695762477338308873981542095 absolute error = 0.1181915325355933388464263920573 relative error = 10.521082657538504964440927278459 % h = 0.001 y1[1] (analytic) = 1.1233780437121404920409717621522 y1[1] (numeric) = 1.1233780437121405105803900097448 absolute error = 1.85394182475926e-17 relative error = 1.6503276302543816670999628246212e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.503 y2[1] (analytic) = 1.1238596616865926064215271335312 y2[1] (numeric) = 1.2425323739926435306336805147964 absolute error = 0.1186727123060509242121533812652 relative error = 10.559388894513488617786410559438 % h = 0.001 y1[1] (analytic) = 1.1238596616865926064215271335312 y1[1] (numeric) = 1.1238596616865926250035543644096 absolute error = 1.85820272308784e-17 relative error = 1.6534117082725507181712786345915e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1434.3MB, alloc=4.3MB, time=98.95 NO POLE NO POLE x[1] = 0.504 y2[1] (analytic) = 1.1243421558013100225170503558855 y2[1] (numeric) = 1.2434969242590875423051556190963 absolute error = 0.1191547684577775197881052632108 relative error = 10.597732002039613207979824178422 % h = 0.001 y1[1] (analytic) = 1.1243421558013100225170503558855 y1[1] (numeric) = 1.124342155801310041141663149719 absolute error = 1.86246127938335e-17 relative error = 1.6564897702834846967690874368662e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1438.1MB, alloc=4.3MB, time=99.23 NO POLE NO POLE x[1] = 0.505 y2[1] (analytic) = 1.1248255255737986658179668865485 y2[1] (numeric) = 1.2444632260825156798369979866623 absolute error = 0.1196377005087170140190311001138 relative error = 10.636111804778536332406270728302 % h = 0.001 y1[1] (analytic) = 1.1248255255737986658179668865485 y1[1] (numeric) = 1.1248255255737986844851417804209 absolute error = 1.86671748938724e-17 relative error = 1.6595618137621704889927896471550e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1441.9MB, alloc=4.3MB, time=99.55 NO POLE NO POLE x[1] = 0.506 y2[1] (analytic) = 1.1253097705206888041164464559634 y2[1] (numeric) = 1.245431278496626200326219353825 absolute error = 0.1201215079759373962097728978616 relative error = 10.674528127517841008127615112988 % h = 0.001 y1[1] (analytic) = 1.1253097705206888041164464559634 y1[1] (numeric) = 1.1253097705206888228261599443965 absolute error = 1.87097134884331e-17 relative error = 1.6626278362246853151070159187244e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1445.7MB, alloc=4.3MB, time=99.84 NO POLE NO POLE x[1] = 0.507 y2[1] (analytic) = 1.1257948901577355308760949947039 y2[1] (numeric) = 1.2464010805333667703333310515388 absolute error = 0.1206061903756312394572360568349 relative error = 10.71298079517247252093288985881 % h = 0.001 y1[1] (analytic) = 1.1257948901577355308760949947039 y1[1] (numeric) = 1.1257948901577355496283235296809 absolute error = 1.87522285349770e-17 relative error = 1.6656878352281043352723350135281e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1449.6MB, alloc=4.3MB, time=100.12 NO POLE NO POLE x[1] = 0.508 y2[1] (analytic) = 1.1262808839998192494768208161278 y2[1] (numeric) = 1.2473726312229354339345967738449 absolute error = 0.1210917472231161844577759577171 relative error = 10.751469632786168978020821118421 % h = 0.001 y1[1] (analytic) = 1.1262808839998192494768208161278 y1[1] (numeric) = 1.1262808839998192682715408071166 absolute error = 1.87947199909888e-17 relative error = 1.6687418083704079150072069665237e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1453.4MB, alloc=4.3MB, time=100.38 NO POLE NO POLE x[1] = 0.509 y2[1] (analytic) = 1.126767751560946158334390809836 y2[1] (numeric) = 1.248345929593781582523907684781 absolute error = 0.121578178032835424189516874945 relative error = 10.78999446553288555652111215904 % h = 0.001 y1[1] (analytic) = 1.126767751560946158334390809836 y1[1] (numeric) = 1.1267677515609461771715786238134 absolute error = 1.88371878139774e-17 relative error = 1.6717897532904773029388092324378e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1457.2MB, alloc=4.3MB, time=100.64 NO POLE NO POLE x[1] = 0.51 y2[1] (analytic) = 1.1272554923542487368941915264245 y2[1] (numeric) = 1.2493209746726069263633100619421 absolute error = 0.1220654823183581894691185355176 relative error = 10.828555118718212440269747316553 % h = 0.001 y1[1] (analytic) = 1.1272554923542487368941915264245 y1[1] (numeric) = 1.1272554923542487557738234878993 absolute error = 1.88796319614748e-17 relative error = 1.6748316676679123220614565936706e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1461.0MB, alloc=4.3MB, time=100.90 NO POLE NO POLE x[1] = 0.511 y2[1] (analytic) = 1.1277441058919862324987091598053 y2[1] (numeric) = 1.2502977654843664678812139262459 absolute error = 0.1225536595923802353825047664406 relative error = 10.867151417780786437461526074369 % h = 0.001 y1[1] (analytic) = 1.1277441058919862324987091598053 y1[1] (numeric) = 1.1277441058919862514207615508422 absolute error = 1.89220523910369e-17 relative error = 1.6778675492230174381064206334074e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1464.8MB, alloc=4.3MB, time=101.16 NO POLE NO POLE x[1] = 0.512 y2[1] (analytic) = 1.1282335916855451481282415596589 y2[1] (numeric) = 1.251276301052269476717309359776 absolute error = 0.1230427093667243285890678001171 relative error = 10.905783188293696272010298165355 % h = 0.001 y1[1] (analytic) = 1.1282335916855451481282415596589 y1[1] (numeric) = 1.1282335916855451670926906199022 absolute error = 1.89644490602433e-17 relative error = 1.6808973957166986582524295260091e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1468.6MB, alloc=4.3MB, time=101.43 NO POLE NO POLE x[1] = 0.513 y2[1] (analytic) = 1.1287239492454397310143545333464 y2[1] (numeric) = 1.2522565803977804665132154668666 absolute error = 0.1235326311523407354988609335202 relative error = 10.94445025596588154165394054654 % h = 0.001 y1[1] (analytic) = 1.1287239492454397310143545333464 y1[1] (numeric) = 1.1287239492454397500211764600437 absolute error = 1.90068219266973e-17 relative error = 1.6839212049503778469110975599727e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1472.4MB, alloc=4.3MB, time=101.69 NO POLE NO POLE x[1] = 0.514 y2[1] (analytic) = 1.1292151780813124621255938238659 y2[1] (numeric) = 1.2532386025406201734478851878627 absolute error = 0.1240234244593077113222913639968 relative error = 10.983152446643525336046989977999 % h = 0.001 y1[1] (analytic) = 1.1292151780813124621255938238659 y1[1] (numeric) = 1.1292151780813124811747647718919 absolute error = 1.90491709480260e-17 relative error = 1.6869389747659155521076058511009e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1476.3MB, alloc=4.3MB, time=101.94 NO POLE NO POLE x[1] = 0.515 y2[1] (analytic) = 1.1297072777019345465249632781811 y2[1] (numeric) = 1.2542223664987665365167874302309 absolute error = 0.1245150887968319899918241520498 relative error = 11.021889586311440508289015038546 % h = 0.001 y1[1] (analytic) = 1.1297072777019345465249632781811 y1[1] (numeric) = 1.1297072777019345656164593600615 absolute error = 1.90914960818804e-17 relative error = 1.6899507030455334666381816957458e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1480.1MB, alloc=4.3MB, time=102.20 NO POLE NO POLE x[1] = 0.516 y2[1] (analytic) = 1.1302002476152064045986788484863 y2[1] (numeric) = 1.2552078712884556795538862379216 absolute error = 0.1250076236732492749552073894353 relative error = 11.060661501094449593541273092428 % h = 0.001 y1[1] (analytic) = 1.1302002476152064045986788484863 y1[1] (numeric) = 1.1302002476152064237324761344216 absolute error = 1.91337972859353e-17 relative error = 1.6929563877117188309847418469004e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.517 y2[1] (analytic) = 1.1306940873281581641557071976931 y2[1] (numeric) = 1.2561951159241828949954349770846 absolute error = 0.1255010285960247308397277793915 relative error = 11.099468017258758368587945414048 % h = 0.001 y1[1] (analytic) = 1.1306940873281581641557071976931 y1[1] (numeric) = 1.1306940873281581833317817155828 absolute error = 1.91760745178897e-17 relative error = 1.6959560267271727439222059919654e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1483.9MB, alloc=4.3MB, time=102.46 NO POLE NO POLE x[1] = 0.518 y2[1] (analytic) = 1.1311887963469501533975968096429 y2[1] (numeric) = 1.2571840994187036293846017744264 absolute error = 0.1259953030717534759870049647835 relative error = 11.138308961213323046401271882795 % h = 0.001 y1[1] (analytic) = 1.1311887963469501533975968096429 y1[1] (numeric) = 1.1311887963469501726159245451092 absolute error = 1.92183277354663e-17 relative error = 1.6989496180946784849407779877494e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1487.7MB, alloc=4.3MB, time=102.72 NO POLE NO POLE x[1] = 0.519 y2[1] (analytic) = 1.1316843741768733947581086342535 y2[1] (numeric) = 1.258174820783034470615940703665 absolute error = 0.1264904466061610758578320694115 relative error = 11.177184159511211099972209950193 % h = 0.001 y1[1] (analytic) = 1.1316843741768733947581086342535 y1[1] (numeric) = 1.1316843741768734140186655306653 absolute error = 1.92605568964118e-17 relative error = 1.7019371598570403136723980860422e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1491.5MB, alloc=4.3MB, time=102.98 NO POLE NO POLE x[1] = 0.52 y2[1] (analytic) = 1.1321808203223500996121524280115 y2[1] (numeric) = 1.2591672790264541369187214756945 absolute error = 0.126986458704104037306569047683 relative error = 11.216093438850955709869815598521 % h = 0.001 y1[1] (analytic) = 1.1321808203223500996121524280115 y1[1] (numeric) = 1.1321808203223501189149143865086 absolute error = 1.93027619584971e-17 relative error = 1.7049186500970130401172238509525e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1495.3MB, alloc=4.3MB, time=103.25 NO POLE NO POLE x[1] = 0.521 y2[1] (analytic) = 1.1326781342869341638535340809147 y2[1] (numeric) = 1.2601614731565044675781286492113 absolute error = 0.1274833388695703037245945682966 relative error = 11.255036626077903830193381466873 % h = 0.001 y1[1] (analytic) = 1.1326781342869341638535340809147 y1[1] (numeric) = 1.1326781342869341831984769604319 absolute error = 1.93449428795172e-17 relative error = 1.7078940869372047383535684242734e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1499.1MB, alloc=4.3MB, time=103.50 NO POLE NO POLE x[1] = 0.522 y2[1] (analytic) = 1.1331763155733116643410183521593 y2[1] (numeric) = 1.2611574021789914153933396406854 absolute error = 0.1279810866056797510523212885261 relative error = 11.294013548185557867781464000328 % h = 0.001 y1[1] (analytic) = 1.1331763155733116643410183521593 y1[1] (numeric) = 1.1331763155733116837281179694503 absolute error = 1.93870996172910e-17 relative error = 1.7108634685399703376178508588212e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1503.0MB, alloc=4.3MB, time=103.77 NO POLE NO POLE x[1] = 0.523 y2[1] (analytic) = 1.133675363683301356212210568549 y2[1] (numeric) = 1.262155065097986040871489075682 absolute error = 0.128479701414684684659278507133 relative error = 11.333024032316910969741282233957 % h = 0.001 y1[1] (analytic) = 1.133675363683301356212210568549 y1[1] (numeric) = 1.133675363683301375641442698211 absolute error = 1.94292321296620e-17 relative error = 1.7138267931073843297033003227933e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1506.8MB, alloc=4.3MB, time=104.03 NO POLE NO POLE x[1] = 0.524 y2[1] (analytic) = 1.134175278117855171064759971788 y2[1] (numeric) = 1.2631544609158255081565252876514 absolute error = 0.1289791827979703370917653158634 relative error = 11.372067905765775914560570578081 % h = 0.001 y1[1] (analytic) = 1.134175278117855171064759971788 y1[1] (numeric) = 1.1341752781178551905361003462855 absolute error = 1.94713403744975e-17 relative error = 1.7167840588810807433763489888953e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1510.6MB, alloc=4.3MB, time=104.30 NO POLE NO POLE x[1] = 0.525 y2[1] (analytic) = 1.1346760583770587160043865334936 y2[1] (numeric) = 1.2641555886331140826919630354134 absolute error = 0.1294795302560553666875765019198 relative error = 11.411144995978107602261811719338 % h = 0.001 y1[1] (analytic) = 1.1346760583770587160043865334936 y1[1] (numeric) = 1.1346760583770587355178108431829 absolute error = 1.95134243096893e-17 relative error = 1.7197352641422251895572014019762e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1514.4MB, alloc=4.3MB, time=104.56 NO POLE NO POLE x[1] = 0.526 y2[1] (analytic) = 1.135177703960131773559232189945 y2[1] (numeric) = 1.265158447248724130616534776668 absolute error = 0.129980743288592357057302586723 relative error = 11.450255130553319139255858555216 % h = 0.001 y1[1] (analytic) = 1.135177703960131773559232189945 y1[1] (numeric) = 1.1351777039601317931147160830985 absolute error = 1.95554838931535e-17 relative error = 1.7226804072114071512452630769738e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1518.2MB, alloc=4.3MB, time=104.82 NO POLE NO POLE x[1] = 0.527 y2[1] (analytic) = 1.1356802143654288024600365822581 y2[1] (numeric) = 1.2661630357597971198917411019624 absolute error = 0.1304828213943683174317045197043 relative error = 11.489398137245591513748271071418 % h = 0.001 y1[1] (analytic) = 1.1356802143654288024600365822581 y1[1] (numeric) = 1.1356802143654288220575556650886 absolute error = 1.95975190828305e-17 relative error = 1.7256194864485496245208012272811e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1522.0MB, alloc=4.3MB, time=105.09 NO POLE NO POLE x[1] = 0.528 y2[1] (analytic) = 1.1361835890904394392856365218521 y2[1] (numeric) = 1.2671693531617446231602992016491 absolute error = 0.130985764071305183874662679797 relative error = 11.528573843965176857747240454504 % h = 0.001 y1[1] (analytic) = 1.1361835890904394392856365218521 y1[1] (numeric) = 1.1361835890904394589251663585372 absolute error = 1.96395298366851e-17 relative error = 1.7285525002528272577446541701763e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1525.9MB, alloc=4.3MB, time=105.36 NO POLE NO POLE x[1] = 0.529 y2[1] (analytic) = 1.1366878276317890009732875357502 y2[1] (numeric) = 1.2681773984482493223344865074692 absolute error = 0.131489570816460321361198971719 relative error = 11.567782078779695291916743777678 % h = 0.001 y1[1] (analytic) = 1.1366878276317890009732875357502 y1[1] (numeric) = 1.1366878276317890206548036484569 absolute error = 1.96815161127067e-17 relative error = 1.7314794470625929646157318171445e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1529.7MB, alloc=4.3MB, time=105.62 NO POLE NO POLE x[1] = 0.53 y2[1] (analytic) = 1.1371929294852389881933049814358 y2[1] (numeric) = 1.2691871706112660149133749205012 absolute error = 0.1319942411260270267200699390654 relative error = 11.607022669915425349712563647609 % h = 0.001 y1[1] (analytic) = 1.1371929294852389881933049814358 y1[1] (numeric) = 1.1371929294852390079167828503446 absolute error = 1.97234778689088e-17 relative error = 1.7344003253552426379908339186937e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.531 y2[1] (analytic) = 1.1376988941456875895875213566629 y2[1] (numeric) = 1.2701986686410226220279493083252 absolute error = 0.1324997744953350324404279516623 relative error = 11.64629544575858797743201366544 % h = 0.001 y1[1] (analytic) = 1.1376988941456875895875213566629 y1[1] (numeric) = 1.1376988941456876093529364199927 memory used=1533.5MB, alloc=4.3MB, time=105.87 absolute error = 1.97654150633298e-17 relative error = 1.7373151336471939523789479856795e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.532 y2[1] (analytic) = 1.138205721107170186871055565808 y2[1] (numeric) = 1.2712118915260211982131022263673 absolute error = 0.1330061704188510113420466605593 relative error = 11.68560023485662410700062791432 % h = 0.001 y1[1] (analytic) = 1.138205721107170186871055565808 y1[1] (numeric) = 1.1382057211071702066783832198404 absolute error = 1.98073276540324e-17 relative error = 1.7402238704937416867910068284090e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1537.3MB, alloc=4.3MB, time=106.14 NO POLE NO POLE x[1] = 0.533 y2[1] (analytic) = 1.1387134098628598607968890410339 y2[1] (numeric) = 1.2722268382530389429054950915147 absolute error = 0.1335134283901790821086060504808 relative error = 11.7249368659194657985106964896 % h = 0.001 y1[1] (analytic) = 1.1387134098628598607968890410339 y1[1] (numeric) = 1.138713409862859880646104640138 absolute error = 1.98492155991041e-17 relative error = 1.7431265344890095002819534362560e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1541.1MB, alloc=4.3MB, time=106.40 NO POLE NO POLE x[1] = 0.534 y2[1] (analytic) = 1.1392219599050678979827427537335 y2[1] (numeric) = 1.2732435078071292136662743102235 absolute error = 0.13402154790206131568353155649 relative error = 11.764305167820800949717354951546 % h = 0.001 y1[1] (analytic) = 1.1392219599050678979827427537335 y1[1] (numeric) = 1.1392219599050679178738216103904 absolute error = 1.98910788566569e-17 relative error = 1.7460231242658310812032574427884e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1544.9MB, alloc=4.3MB, time=106.66 NO POLE NO POLE x[1] = 0.535 y2[1] (analytic) = 1.1397313707252442985997482894172 y2[1] (numeric) = 1.2742618991716225411276291384883 absolute error = 0.1345305284463782425278808490711 relative error = 11.803704969599331569887959192643 % h = 0.001 y1[1] (analytic) = 1.1397313707252442985997482894172 y1[1] (numeric) = 1.1397313707252443185326656742448 absolute error = 1.99329173848276e-17 relative error = 1.7489136384956837284716170577005e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1548.7MB, alloc=4.3MB, time=106.92 NO POLE NO POLE x[1] = 0.536 y2[1] (analytic) = 1.1402416418139782849224052974161 y2[1] (numeric) = 1.2752820113281276456621763272001 absolute error = 0.135040369514149360739771029784 relative error = 11.843136100460025615589694325277 % h = 0.001 y1[1] (analytic) = 1.1402416418139782849224052974161 y1[1] (numeric) = 1.1402416418139783048971364391938 absolute error = 1.99747311417777e-17 relative error = 1.7517980758885865023919423395225e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1552.6MB, alloc=4.3MB, time=107.19 NO POLE NO POLE x[1] = 0.537 y2[1] (analytic) = 1.1407527726609988107393167654858 y2[1] (numeric) = 1.2763038432565324557741548835922 absolute error = 0.1355510705955336450348381181064 relative error = 11.882598389775362386188772635264 % h = 0.001 y1[1] (analytic) = 1.1407527726609988107393167654858 y1[1] (numeric) = 1.1407527726609988307558368511792 absolute error = 2.00165200856934e-17 relative error = 1.7546764351930068885294969240006e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1556.4MB, alloc=4.3MB, time=107.45 NO POLE NO POLE x[1] = 0.538 y2[1] (analytic) = 1.1412647627551750716241927086173 y2[1] (numeric) = 1.277327393935005128211412557665 absolute error = 0.1360626311798300565872198490477 relative error = 11.922091667086571477022167303542 % h = 0.001 y1[1] (analytic) = 1.1412647627551750716241927086173 y1[1] (numeric) = 1.1412647627551750916824768834031 absolute error = 2.00582841747858e-17 relative error = 1.7575487151957847123286676995479e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1560.2MB, alloc=4.3MB, time=107.71 NO POLE NO POLE x[1] = 0.539 y2[1] (analytic) = 1.1417776115845170160666120010952 y2[1] (numeric) = 1.2783526623399950697971639416871 absolute error = 0.1365750507554780537305519405919 relative error = 11.961615762104865288389601431318 % h = 0.001 y1[1] (analytic) = 1.1417776115845170160666120010952 y1[1] (numeric) = 1.1417776115845170361666353683859 absolute error = 2.01000233672907e-17 relative error = 1.7604149147220207026878942970858e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1564.0MB, alloc=4.3MB, time=107.97 NO POLE NO POLE x[1] = 0.54 y2[1] (analytic) = 1.1422913186361758574620312210822 y2[1] (numeric) = 1.2793796474462339609804983511013 absolute error = 0.1370883288100581035184671300191 relative error = 12.001170504712665088699461942023 % h = 0.001 y1[1] (analytic) = 1.1422913186361758574620312210822 y1[1] (numeric) = 1.1422913186361758776037688425511 absolute error = 2.01417376214689e-17 relative error = 1.7632750326350086065978769130968e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1567.8MB, alloc=4.3MB, time=108.23 NO POLE NO POLE x[1] = 0.541 y2[1] (analytic) = 1.1428058833964445869605285177651 y2[1] (numeric) = 1.2804083482267367811046139364111 absolute error = 0.137602464830292194144085418646 relative error = 12.040755724964820630287431269716 % h = 0.001 y1[1] (analytic) = 1.1428058833964445869605285177651 y1[1] (numeric) = 1.1428058833964446071439554133714 absolute error = 2.01834268956063e-17 relative error = 1.7661290678361494671993340385451e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1571.6MB, alloc=4.3MB, time=108.49 NO POLE NO POLE x[1] = 0.542 y2[1] (analytic) = 1.1433213053507584871737696523608 y2[1] (numeric) = 1.2814387636528028353917527579004 absolute error = 0.1381174583020443482179831055396 relative error = 12.080371253089823316610922543151 % h = 0.001 y1[1] (analytic) = 1.1433213053507584871737696523608 y1[1] (numeric) = 1.1433213053507585073988608003745 absolute error = 2.02250911480137e-17 relative error = 1.7689770192648393767817530228129e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1575.4MB, alloc=4.3MB, time=108.75 NO POLE NO POLE x[1] = 0.543 y2[1] (analytic) = 1.1438375839836956467396825060591 y2[1] (numeric) = 1.2824708926940167836438098383366 absolute error = 0.1386333087103211369041273322775 relative error = 12.120016919491012919705862465981 % h = 0.001 y1[1] (analytic) = 1.1438375839836956467396825060591 y1[1] (numeric) = 1.1438375839836956670064128430856 absolute error = 2.02667303370265e-17 relative error = 1.7718188858983482754916967691584e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1579.3MB, alloc=4.3MB, time=109.01 NO POLE NO POLE x[1] = 0.544 y2[1] (analytic) = 1.1443547187789774757443254902696 y2[1] (numeric) = 1.2835047343182496706575874931332 absolute error = 0.1391500155392721949132620028636 relative error = 12.159692554747777846974986574855 % h = 0.001 y1[1] (analytic) = 1.1443547187789774757443254902696 y1[1] (numeric) = 1.1443547187789774960526699112755 absolute error = 2.03083444210059e-17 relative error = 1.7746546667518296432415919728731e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1583.1MB, alloc=4.3MB, time=109.27 x[1] = 0.545 y2[1] (analytic) = 1.1448727092194692220004344373497 y2[1] (numeric) = 1.2845402874916599583536645228043 absolute error = 0.1396675782721907363532300854546 relative error = 12.199397989616748956558590392309 % h = 0.001 y1[1] (analytic) = 1.1448727092194692220004344373497 y1[1] (numeric) = 1.1448727092194692423503677956873 absolute error = 2.03499333583376e-17 relative error = 1.7774843608781112889643886803373e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.546 y2[1] (analytic) = 1.1453915547871804881821316933069 y2[1] (numeric) = 1.2855775511786945596178481389269 absolute error = 0.14018599639151407143571644562 relative error = 12.23913305503298692071961361235 % h = 0.001 y1[1] (analytic) = 1.1453915547871804881821316933069 y1[1] (numeric) = 1.1453915547871805085736288007396 absolute error = 2.03914971074327e-17 relative error = 1.7803079673676782718208977101088e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1586.9MB, alloc=4.3MB, time=109.54 NO POLE NO POLE x[1] = 0.547 y2[1] (analytic) = 1.1459112549632657498152802778119 y2[1] (numeric) = 1.2866165243420898738541747822462 absolute error = 0.1407052693788241240388945044343 relative error = 12.278897582111163136855019360146 % h = 0.001 y1[1] (analytic) = 1.1459112549632657498152802778119 y1[1] (numeric) = 1.1459112549632657702483159045394 absolute error = 2.04330356267275e-17 relative error = 1.7831254853485593678801451001017e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1590.7MB, alloc=4.3MB, time=109.80 NO POLE NO POLE x[1] = 0.548 y2[1] (analytic) = 1.1464318092280248741229651212096 y2[1] (numeric) = 1.2876572059428728242484242800086 absolute error = 0.141225396714847950125459158799 relative error = 12.318691402146734185924663318753 % h = 0.001 y1[1] (analytic) = 1.1464318092280248741229651212096 y1[1] (numeric) = 1.146431809228024894597513995893 absolute error = 2.04745488746834e-17 relative error = 1.7859369139862220623335259597628e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1594.5MB, alloc=4.3MB, time=110.07 NO POLE NO POLE x[1] = 0.549 y2[1] (analytic) = 1.1469532170609036397255825330915 y2[1] (numeric) = 1.2886995949403618967411100790949 absolute error = 0.1417463778794582570155275460034 relative error = 12.358514346617109838267224744757 % h = 0.001 y1[1] (analytic) = 1.1469532170609036397255825330915 y1[1] (numeric) = 1.1469532170609036602416193428787 absolute error = 2.05160368097872e-17 relative error = 1.7887422524835021987586593900511e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1598.3MB, alloc=4.3MB, time=110.33 NO POLE NO POLE x[1] = 0.55 y2[1] (analytic) = 1.1474754779404942571950182023822 y2[1] (numeric) = 1.2897436902921681807089065820505 absolute error = 0.1422682123516739235138883796683 relative error = 12.398366247182814606950289798564 % h = 0.001 y1[1] (analytic) = 1.1474754779404942571950182023822 y1[1] (numeric) = 1.1474754779404942777525175929333 absolute error = 2.05574993905511e-17 relative error = 1.7915415000805071737909870491842e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1602.1MB, alloc=4.3MB, time=110.59 NO POLE NO POLE x[1] = 0.551 y2[1] (analytic) = 1.1479985913445358904623931748063 y2[1] (numeric) = 1.290789490954196411353472904671 absolute error = 0.1427908996096605208910797298647 relative error = 12.438246935688642848978333955104 % h = 0.001 y1[1] (analytic) = 1.1479985913445358904623931748063 y1[1] (numeric) = 1.1479985913445359110613297503186 absolute error = 2.05989365755123e-17 relative error = 1.7943346560544840524884723923908e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1606.0MB, alloc=4.3MB, time=110.86 NO POLE NO POLE x[1] = 0.552 y2[1] (analytic) = 1.1485225567499151790788564000321 y2[1] (numeric) = 1.2918369958806460137966306664075 absolute error = 0.1433144391307308347177742663754 relative error = 12.478156244164807414858141365987 % h = 0.001 y1[1] (analytic) = 1.1485225567499151790788564000321 y1[1] (numeric) = 1.1485225567499151997192047232658 absolute error = 2.06403483232337e-17 relative error = 1.7971217197197833211120986566592e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1609.8MB, alloc=4.3MB, time=111.12 NO POLE NO POLE x[1] = 0.553 y2[1] (analytic) = 1.1490473736326667613289015877443 y2[1] (numeric) = 1.2928862040240121488808517185 absolute error = 0.1438388303913453875519501307557 relative error = 12.518094004828081847196121806669 % h = 0.001 y1[1] (analytic) = 1.1490473736326667613289015877443 y1[1] (numeric) = 1.1490473736326667820106361800479 absolute error = 2.06817345923036e-17 relative error = 1.7999026904277352141336893381866e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1613.6MB, alloc=4.3MB, time=111.38 NO POLE NO POLE x[1] = 0.554 y2[1] (analytic) = 1.1495730414679737981956852593716 y2[1] (numeric) = 1.2939371143350867606740100094383 absolute error = 0.1443640728671129624783247500667 relative error = 12.558060050082936129176037221634 % h = 0.001 y1[1] (analytic) = 1.1495730414679737981956852593716 y1[1] (numeric) = 1.1495730414679738189187806007073 absolute error = 2.07230953413357e-17 relative error = 1.8026775675665519819577272288053e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1617.4MB, alloc=4.3MB, time=111.64 NO POLE NO POLE x[1] = 0.555 y2[1] (analytic) = 1.150099559730168498177822030195 y2[1] (numeric) = 1.2949897257629596256773500830865 absolute error = 0.1448901660327911274995280528915 relative error = 12.598054212522665983938826899528 % h = 0.001 y1[1] (analytic) = 1.150099559730168498177822030195 y1[1] (numeric) = 1.1500995597301685189422525591643 absolute error = 2.07644305289693e-17 relative error = 1.8054463505612473238676065339315e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1621.2MB, alloc=4.3MB, time=111.90 NO POLE NO POLE x[1] = 0.556 y2[1] (analytic) = 1.1506269278927326429571323050854 y2[1] (numeric) = 1.2960440372550194037356230015894 absolute error = 0.145417109362286760778490696504 relative error = 12.638076324930515726058520056803 % h = 0.001 y1[1] (analytic) = 1.1506269278927326429571323050854 y1[1] (numeric) = 1.1506269278927326637628724189545 absolute error = 2.08057401138691e-17 relative error = 1.8082090388735207877743902284280e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1625.0MB, alloc=4.3MB, time=112.17 NO POLE NO POLE x[1] = 0.557 y2[1] (analytic) = 1.1511551454282981139168167201663 y2[1] (numeric) = 1.2971000477569546906483387830125 absolute error = 0.1459449023286565767315220628462 relative error = 12.678126220280794666479644235699 % h = 0.001 y1[1] (analytic) = 1.1511551454282981139168167201663 y1[1] (numeric) = 1.151155145428298134763840774892 absolute error = 2.08470240547257e-17 relative error = 1.8109656320017028073531258931724e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1628.9MB, alloc=4.3MB, time=112.43 NO POLE NO POLE x[1] = 0.558 y2[1] (analytic) = 1.1516842118086474195095308122717 y2[1] (numeric) = 1.2981577562127550724810827425516 absolute error = 0.1464735444041076529715519302799 relative error = 12.718203731739987072452074646605 % h = 0.001 y1[1] (analytic) = 1.1516842118086474195095308122717 y1[1] (numeric) = 1.1516842118086474403978131225267 absolute error = 2.08882823102550e-17 relative error = 1.8137161294806038911413847629649e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1632.7MB, alloc=4.3MB, time=112.69 NO POLE NO POLE x[1] = 0.559 y2[1] (analytic) = 1.1522141265047142234748325481675 y2[1] (numeric) = 1.2992171615647121815758414260822 absolute error = 0.1470030350599979581010088779147 relative error = 12.758308692667855684168920687153 % h = 0.001 y1[1] (analytic) = 1.1522141265047142234748325481675 y1[1] (numeric) = 1.1522141265047142444043473873663 absolute error = 2.09295148391988e-17 relative error = 1.8164605308814678893144188432047e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.56 y2[1] (analytic) = 1.1527448889865838739054744961337 y2[1] (numeric) = 1.3002782627534207542592821258121 absolute error = 0.1475333737668368803538076296784 relative error = 12.798440936618538789981808695245 % h = 0.001 y1[1] (analytic) = 1.1527448889865838739054744961337 y1[1] (numeric) = 1.1527448889865838948761960964583 absolute error = 2.09707216003246e-17 relative error = 1.8191988358118555067150385364753e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1636.5MB, alloc=4.3MB, time=112.95 NO POLE NO POLE x[1] = 0.561 y2[1] (analytic) = 1.153276498723493933162011573659 y2[1] (numeric) = 1.3013410587177796902479282698451 absolute error = 0.1480645599942857570859166961861 relative error = 12.838600297341640862235791948625 % h = 0.001 y1[1] (analytic) = 1.153276498723493933162011573659 y1[1] (numeric) = 1.1532764987234939541739141260846 absolute error = 2.10119025524256e-17 relative error = 1.8219310439155449980283676204898e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1640.3MB, alloc=4.3MB, time=113.21 NO POLE NO POLE x[1] = 0.562 y2[1] (analytic) = 1.1538089551838347086351944566842 y2[1] (numeric) = 1.3024055483949931137491712805687 absolute error = 0.1485965932111584051139768238845 relative error = 12.878786608783316755933097481146 % h = 0.001 y1[1] (analytic) = 1.1538089551838347086351944566842 y1[1] (numeric) = 1.1538089551838347296882521110052 absolute error = 2.10530576543210e-17 relative error = 1.8246571548724586589596183841925e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1644.1MB, alloc=4.3MB, time=113.48 NO POLE NO POLE x[1] = 0.563 y2[1] (analytic) = 1.1543422578351497843556178880455 y2[1] (numeric) = 1.3034717307205714362570578009428 absolute error = 0.1491294728854216519014399128973 relative error = 12.918999705087349472601001979754 % h = 0.001 y1[1] (analytic) = 1.1543422578351497843556178880455 y1[1] (numeric) = 1.154342257835149805449804752901 absolute error = 2.10941868648555e-17 relative error = 1.8273771683985197397790459680931e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1647.9MB, alloc=4.3MB, time=113.74 NO POLE NO POLE x[1] = 0.564 y2[1] (analytic) = 1.1548764061441365534500922755128 y2[1] (numeric) = 1.3045396046283324210417894929903 absolute error = 0.1496631984841958675916972174775 relative error = 12.959239420596221491904313453739 % h = 0.001 y1[1] (analytic) = 1.1548764061441365534500922755128 y1[1] (numeric) = 1.1548764061441365745853824184127 absolute error = 2.11352901428999e-17 relative error = 1.8300910842456045280200278829025e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1651.7MB, alloc=4.3MB, time=114.00 NO POLE NO POLE x[1] = 0.565 y2[1] (analytic) = 1.1554113995766467514442061230971 y2[1] (numeric) = 1.3056091690504022493318709190785 absolute error = 0.1501977694737554978876647959814 relative error = 12.999505589852179673707219188324 % h = 0.001 y1[1] (analytic) = 1.1554113995766467514442061230971 y1[1] (numeric) = 1.1554113995766467726205735704482 absolute error = 2.11763674473511e-17 relative error = 1.8327989022014421609449874707469e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1655.6MB, alloc=4.3MB, time=114.26 NO POLE NO POLE x[1] = 0.566 y2[1] (analytic) = 1.1559472375976869904105459931083 y2[1] (numeric) = 1.3066804229172165881878393239328 absolute error = 0.1507331853195295977772933308245 relative error = 13.039798047598293733452641430886 % h = 0.001 y1[1] (analytic) = 1.1559472375976869904105459931083 y1[1] (numeric) = 1.15594723759768701162796473024 absolute error = 2.12174187371317e-17 relative error = 1.8355006220894796405717382905201e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1659.4MB, alloc=4.3MB, time=114.52 NO POLE NO POLE x[1] = 0.567 y2[1] (analytic) = 1.1564839196714192939620398507875 y2[1] (numeric) = 1.3077533651575216600665084437413 absolute error = 0.1512694454861023661044685929538 relative error = 13.08011662877950829388971809298 % h = 0.001 y1[1] (analytic) = 1.1564839196714192939620398507875 y1[1] (numeric) = 1.1564839196714193152204838219779 absolute error = 2.12584439711904e-17 relative error = 1.8381962437688159292468881387571e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1663.2MB, alloc=4.3MB, time=114.78 NO POLE NO POLE x[1] = 0.568 y2[1] (analytic) = 1.157021445261161633089888798216 y2[1] (numeric) = 1.3088279946983753140746567781957 absolute error = 0.1518065494372136809847679799797 relative error = 13.120461168543688516341594331226 % h = 0.001 y1[1] (analytic) = 1.157021445261161633089888798216 y1[1] (numeric) = 1.1570214452611616543893319067179 absolute error = 2.12994431085019e-17 relative error = 1.8408857671340925463342018274913e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1667.0MB, alloc=4.3MB, time=115.05 NO POLE NO POLE x[1] = 0.569 y2[1] (analytic) = 1.1575598138293884628455513596132 y2[1] (numeric) = 1.3099043104651480989110890718702 absolute error = 0.152344496635759636065537712257 relative error = 13.160831502242659314866370102114 % h = 0.001 y1[1] (analytic) = 1.1575598138293884628455513596132 y1[1] (numeric) = 1.1575598138293884841859674676803 absolute error = 2.13404161080671e-17 relative error = 1.8435691921154099201627909337955e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1670.8MB, alloc=4.3MB, time=115.31 NO POLE NO POLE x[1] = 0.57 y2[1] (analytic) = 1.158099024837731259866243636084 y2[1] (numeric) = 1.3109823113815243374959980629653 absolute error = 0.1528832865437930776297544268813 relative error = 13.201227465433238156823796637738 % h = 0.001 y1[1] (analytic) = 1.158099024837731259866243636084 y1[1] (numeric) = 1.1580990248377312812476065649972 absolute error = 2.13813629289132e-17 relative error = 1.8462465186782348742261058890847e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1674.6MB, alloc=4.3MB, time=115.57 NO POLE NO POLE x[1] = 0.571 y2[1] (analytic) = 1.158639077746979060743417804361 y2[1] (numeric) = 1.3120619963695032032865518701449 absolute error = 0.1534229186225241425431340657839 relative error = 13.241648893878261453519149291216 % h = 0.001 y1[1] (analytic) = 1.158639077746979060743417804361 y1[1] (numeric) = 1.1586390777469790821657013344541 absolute error = 2.14222835300931e-17 relative error = 1.8489177468232474935644987134526e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1678.4MB, alloc=4.3MB, time=115.83 NO POLE NO POLE x[1] = 0.572 y2[1] (analytic) = 1.1591799720170790012336805911064 y2[1] (numeric) = 1.3131433643493997982776307019691 absolute error = 0.1539633923323207970439501108627 relative error = 13.282095623547604544753623441883 % h = 0.001 y1[1] (analytic) = 1.1591799720170790012336805911064 y1[1] (numeric) = 1.1591799720170790226968584617928 absolute error = 2.14631778706864e-17 relative error = 1.8515828765863259874943045347837e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1682.3MB, alloc=4.3MB, time=116.10 NO POLE NO POLE x[1] = 0.573 y2[1] (analytic) = 1.1597217071071368563116125119018 y2[1] (numeric) = 1.3142264142398462326866348882755 absolute error = 0.1545047071327093763750223763737 relative error = 13.322567490619195281267602280856 % h = 0.001 y1[1] (analytic) = 1.1597217071071368563116125119018 y1[1] (numeric) = 1.1597217071071368778156584217005 absolute error = 2.15040459097987e-17 relative error = 1.8542419080383845493818297335904e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.574 y2[1] (analytic) = 1.1602642824754175810639478221502 y2[1] (numeric) = 1.3153111449577927063212845487909 absolute error = 0.1550468624823751252573367266407 relative error = 13.363064331480021209219228528922 % h = 0.001 y1[1] (analytic) = 1.1602642824754175810639478221502 y1[1] (numeric) = 1.1602642824754176026088354287121 absolute error = 2.15448876065619e-17 relative error = 1.8568948412852974011191879451756e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1686.1MB, alloc=4.3MB, time=116.36 NO POLE NO POLE x[1] = 0.575 y2[1] (analytic) = 1.1608076975793458524245742857562 y2[1] (numeric) = 1.3163975554185085916293295312642 absolute error = 0.155589857839162739204755245508 relative error = 13.403585982727130360995874739712 % h = 0.001 y1[1] (analytic) = 1.1608076975793458524245742857562 y1[1] (numeric) = 1.1608076975793458740102772058906 absolute error = 2.15857029201344e-17 relative error = 1.8595416764678139813607148913235e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1689.9MB, alloc=4.3MB, time=116.62 NO POLE NO POLE x[1] = 0.576 y2[1] (analytic) = 1.1613519518755066117498110266296 y2[1] (numeric) = 1.3174856445355835184290865695008 absolute error = 0.1561336926600769066792755428712 relative error = 13.444132281168625656810347142484 % h = 0.001 y1[1] (analytic) = 1.1613519518755066117498110266296 y1[1] (numeric) = 1.1613519518755066333763028363305 absolute error = 2.16264918097009e-17 relative error = 1.8621824137614394763845688447247e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1693.7MB, alloc=4.3MB, time=116.88 NO POLE NO POLE x[1] = 0.577 y2[1] (analytic) = 1.1618970448196456082334218877795 y2[1] (numeric) = 1.3185754112209284603197189308512 absolute error = 0.1566783664012828520862970430717 relative error = 13.484703063824652921686974368859 % h = 0.001 y1[1] (analytic) = 1.1618970448196456082334218877795 y1[1] (numeric) = 1.1618970448196456299006761222519 absolute error = 2.16672542344724e-17 relative error = 1.8648170533763324489887405377339e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1697.5MB, alloc=4.3MB, time=117.14 NO POLE NO POLE x[1] = 0.578 y2[1] (analytic) = 1.162442975866669943160820883031 y2[1] (numeric) = 1.3196668543847768227701721429652 absolute error = 0.1572238785181068796093512599342 relative error = 13.525298167928382522595123334851 % h = 0.001 y1[1] (analytic) = 1.162442975866669943160820883031 y1[1] (numeric) = 1.1624429758666699648688110367176 absolute error = 2.17079901536866e-17 relative error = 1.8674455955572367167881799550071e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1701.3MB, alloc=4.3MB, time=117.41 NO POLE NO POLE x[1] = 0.579 y2[1] (analytic) = 1.1629897444706486150019254872046 y2[1] (numeric) = 1.3207599729356855328856777109666 absolute error = 0.157770228465036917883752223762 relative error = 13.565917430926984630639148519638 % h = 0.001 y1[1] (analytic) = 1.1629897444706486150019254872046 y1[1] (numeric) = 1.1629897444706486367506250138121 absolute error = 2.17486995266075e-17 relative error = 1.8700680405833441870318716019746e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1705.1MB, alloc=4.3MB, time=117.67 NO POLE NO POLE x[1] = 0.58 y2[1] (analytic) = 1.16353735008481306534211267195 y2[1] (numeric) = 1.3218547657805361308507350586353 absolute error = 0.1583174156957230655086223866853 relative error = 13.606560690482598113364316460921 % h = 0.001 y1[1] (analytic) = 1.16353735008481306534211267195 y1[1] (numeric) = 1.1635373500848130871314949844758 absolute error = 2.17893823125258e-17 relative error = 1.8726843887682263887534388865088e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1709.0MB, alloc=4.3MB, time=117.93 NO POLE NO POLE x[1] = 0.581 y2[1] (analytic) = 1.1640857921615577256507317563242 y2[1] (numeric) = 1.322951231824535863047480250706 absolute error = 0.1588654396629781373967484943818 relative error = 13.647227784473293062387853096154 % h = 0.001 y1[1] (analytic) = 1.1640857921615577256507317563242 y1[1] (numeric) = 1.1640857921615577474807702270829 absolute error = 2.18300384707587e-17 relative error = 1.8752946404597142123372998290945e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1712.8MB, alloc=4.3MB, time=118.19 NO POLE NO POLE x[1] = 0.582 y2[1] (analytic) = 1.1646350701524405648866273036464 y2[1] (numeric) = 1.3240493699712187768483483780055 absolute error = 0.1594142998187782119617210743591 relative error = 13.687918550994026961712936300154 % h = 0.001 y1[1] (analytic) = 1.1646350701524405648866273036464 y1[1] (numeric) = 1.1646350701524405867572952642964 absolute error = 2.18706679606500e-17 relative error = 1.8778987960398033065686190193843e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1716.6MB, alloc=4.3MB, time=118.45 NO POLE NO POLE x[1] = 0.583 y2[1] (analytic) = 1.165185183508183637940124459152 y2[1] (numeric) = 1.3251491791224468170819348128582 absolute error = 0.1599639956142631791418103537062 relative error = 13.728632828357594502231198340984 % h = 0.001 y1[1] (analytic) = 1.165185183508183637940124459152 y1[1] (numeric) = 1.1651851835081836598513952007223 absolute error = 2.19112707415703e-17 relative error = 1.8804968559245678861514384742644e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1720.4MB, alloc=4.3MB, time=118.71 NO POLE NO POLE x[1] = 0.584 y2[1] (analytic) = 1.1657361316786736349109282865074 y2[1] (numeric) = 1.326250658178410924170958868989 absolute error = 0.1605145264997372892600305824816 relative error = 13.769370455095571048066111792084 % h = 0.001 y1[1] (analytic) = 1.1657361316786736349109282865074 y1[1] (numeric) = 1.1657361316786736568627750594241 absolute error = 2.19518467729167e-17 relative error = 1.8830888205640314542911563668162e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1724.2MB, alloc=4.3MB, time=118.98 NO POLE NO POLE x[1] = 0.585 y2[1] (analytic) = 1.1662879141129624312213878253303 y2[1] (numeric) = 1.327353806037632133941231728052 absolute error = 0.1610658919246697027198439027217 relative error = 13.810131269959249760555506552989 % h = 0.001 y1[1] (analytic) = 1.1662879141129624312213878253303 y1[1] (numeric) = 1.1662879141129624532137838394435 absolute error = 2.19923960141132e-17 relative error = 1.8856746904420974754909642195197e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1728.0MB, alloc=4.3MB, time=119.24 NO POLE NO POLE x[1] = 0.586 y2[1] (analytic) = 1.1668405302592676385645747564984 y2[1] (numeric) = 1.3284586215969626791005288239091 absolute error = 0.1616180913376950405359540674107 relative error = 13.850915111920572385816403950589 % h = 0.001 y1[1] (analytic) = 1.1668405302592676385645747564984 y1[1] (numeric) = 1.1668405302592676605974931811091 absolute error = 2.20329184246107e-17 relative error = 1.8882544660764455307113372505364e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1731.9MB, alloc=4.3MB, time=119.51 NO POLE NO POLE x[1] = 0.587 y2[1] (analytic) = 1.1673939795649731566866257272142 y2[1] (numeric) = 1.3295651037515870923862652058764 absolute error = 0.1621711241866139356996394786622 relative error = 13.891721820173053711979355383819 % h = 0.001 y1[1] (analytic) = 1.1673939795649731566866257272142 y1[1] (numeric) = 1.1673939795649731787600396911007 absolute error = 2.20734139638865e-17 relative error = 1.8908281480183845050156172751767e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.588 y2[1] (analytic) = 1.1679482614766297260027965535271 y2[1] (numeric) = 1.3306732513950233113808707333573 absolute error = 0.1627249899183935853780741798302 relative error = 13.932551234132699702322536658125 % h = 0.001 y1[1] (analytic) = 1.1679482614766297260027965535271 y1[1] (numeric) = 1.1679482614766297481166791449725 absolute error = 2.21138825914454e-17 relative error = 1.8933957368528427551029732410279e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1735.7MB, alloc=4.3MB, time=119.76 NO POLE NO POLE x[1] = 0.589 y2[1] (analytic) = 1.1685033754399554810466756843086 y2[1] (numeric) = 1.3317830634191237849937602865766 absolute error = 0.163279687979168303947084602268 relative error = 13.973403193438919310677974106131 % h = 0.001 y1[1] (analytic) = 1.1685033754399554810466756843086 y1[1] (numeric) = 1.1685033754399555032009999511272 absolute error = 2.21543242668186e-17 relative error = 1.8959572331981696017132813358620e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1739.5MB, alloc=4.3MB, time=120.02 NO POLE NO POLE x[1] = 0.59 y2[1] (analytic) = 1.1690593208998365047520034775093 y2[1] (numeric) = 1.3328945387140765816087925115397 absolute error = 0.1638352178142400768567890340304 relative error = 14.014277537955429985623463943333 % h = 0.001 y1[1] (analytic) = 1.1690593208998365047520034775093 y1[1] (numeric) = 1.1690593208998365269467424270738 absolute error = 2.21947389495645e-17 relative error = 1.8985126377060994850620897100715e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1743.3MB, alloc=4.3MB, time=120.29 NO POLE NO POLE x[1] = 0.591 y2[1] (analytic) = 1.1696160973003273835665430069271 y2[1] (numeric) = 1.3340076761684064988961089518495 absolute error = 0.1643915788680791153295659449224 relative error = 14.055174107771156870113991244646 % h = 0.001 y1[1] (analytic) = 1.1696160973003273835665430069271 y1[1] (numeric) = 1.1696160973003274058016696061954 absolute error = 2.22351265992683e-17 relative error = 1.9010619510616132006259129670551e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1747.1MB, alloc=4.3MB, time=120.54 NO POLE NO POLE x[1] = 0.592 y2[1] (analytic) = 1.1701737040846517633974472856612 y2[1] (numeric) = 1.3351224746689761752872437556343 absolute error = 0.1649487705843244118897964699731 relative error = 14.096092743201125703345758694064 % h = 0.001 y1[1] (analytic) = 1.1701737040846517633974472856612 y1[1] (numeric) = 1.1701737040846517856729344612037 absolute error = 2.22754871755425e-17 relative error = 1.9036051739828760202680516769703e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1750.9MB, alloc=4.3MB, time=120.81 NO POLE NO POLE x[1] = 0.593 y2[1] (analytic) = 1.1707321406952029063875669609314 y2[1] (numeric) = 1.3362389331009872031123924825698 absolute error = 0.1655067924057842967248255216384 relative error = 14.137033284787349431784297149351 % h = 0.001 y1[1] (analytic) = 1.1707321406952029063875669609314 y1[1] (numeric) = 1.1707321406952029287033875989578 absolute error = 2.23158206380264e-17 relative error = 1.9061423072210901530657521369391e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1754.7MB, alloc=4.3MB, time=121.07 NO POLE NO POLE x[1] = 0.594 y2[1] (analytic) = 1.1712914065735442485221417040005 y2[1] (numeric) = 1.3373570503479812433987268738196 absolute error = 0.1660656437744369948765851698191 relative error = 14.177995573299708536425549427119 % h = 0.001 y1[1] (analytic) = 1.1712914065735442485221417040005 y1[1] (numeric) = 1.1712914065735442708782686503871 absolute error = 2.23561269463866e-17 relative error = 1.9086733515604325853860436418979e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1758.6MB, alloc=4.3MB, time=121.33 NO POLE NO POLE x[1] = 0.595 y2[1] (analytic) = 1.1718515011604099580653176885558 y2[1] (numeric) = 1.3384768252918411423286407866714 absolute error = 0.1666253241314311842633230981156 relative error = 14.218979449736825083495294953404 % h = 0.001 y1[1] (analytic) = 1.1718515011604099580653176885558 y1[1] (numeric) = 1.1718515011604099804617237488727 absolute error = 2.23964060603169e-17 relative error = 1.9111983078179414812973114752193e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1762.4MB, alloc=4.3MB, time=121.59 NO POLE NO POLE x[1] = 0.596 y2[1] (analytic) = 1.172412423895705494825932721079 y2[1] (numeric) = 1.339598256812792049356810835717 absolute error = 0.167185832917086554530878114638 relative error = 14.259984755326930505927815498738 % h = 0.001 y1[1] (analytic) = 1.172412423895705494825932721079 y1[1] (numeric) = 1.172412423895705517262590660617 absolute error = 2.24366579395380e-17 relative error = 1.9137171768433854348186213762318e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1766.2MB, alloc=4.3MB, time=121.86 NO POLE NO POLE x[1] = 0.597 y2[1] (analytic) = 1.1729741742185081702520097574644 y2[1] (numeric) = 1.3407213437894025369849536236078 absolute error = 0.1677471695708943667329438661434 relative error = 14.301011331528727123099290633732 % h = 0.001 y1[1] (analytic) = 1.1729741742185081702520097574644 y1[1] (numeric) = 1.1729741742185081927288923012625 absolute error = 2.24768825437981e-17 relative error = 1.9162299595192094125026957533703e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1770.0MB, alloc=4.3MB, time=122.12 NO POLE NO POLE x[1] = 0.598 y2[1] (analytic) = 1.1735367515670677083533987114403 y2[1] (numeric) = 1.3418460850985857221931597867223 absolute error = 0.168309333531518013839761075282 relative error = 14.342059020032243406425055363724 % h = 0.001 y1[1] (analytic) = 1.1735367515670677083533987114403 y1[1] (numeric) = 1.173536751567067730870478544313 absolute error = 2.25170798328727e-17 relative error = 1.9187366567604122703075118664513e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1773.8MB, alloc=4.3MB, time=122.39 NO POLE NO POLE x[1] = 0.599 y2[1] (analytic) = 1.1741001553788068074520056321979 y2[1] (numeric) = 1.3429724796156003895266834245051 absolute error = 0.1688723242367935820746777923072 relative error = 14.383127662759682998562551244628 % h = 0.001 y1[1] (analytic) = 1.1741001553788068074520056321979 y1[1] (numeric) = 1.1741001553788068300092553987623 absolute error = 2.25572497665644e-17 relative error = 1.9212372695144242133052375388753e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1777.6MB, alloc=4.3MB, time=122.65 NO POLE NO POLE x[1] = 0.6 y2[1] (analytic) = 1.1746643850903217027590475010446 y2[1] (numeric) = 1.3441005262140521158370638257813 absolute error = 0.1694361411237304130780163247367 relative error = 14.424217101866267494093555812982 % h = 0.001 y1[1] (analytic) = 1.1746643850903217027590475010446 y1[1] (numeric) = 1.1746643850903217253564398057478 absolute error = 2.25973923047032e-17 relative error = 1.9237317987610267661977159175383e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1781.4MB, alloc=4.3MB, time=122.91 NO POLE NO POLE x[1] = 0.601 y2[1] (analytic) = 1.1752294401373827297787700698751 y2[1] (numeric) = 1.3452302237658943966764547510182 absolute error = 0.1700007836285116668976846811431 relative error = 14.465327179741072989690083099914 % h = 0.001 y1[1] (analytic) = 1.1752294401373827297787700698751 y1[1] (numeric) = 1.1752294401373827524162774770217 absolute error = 2.26375074071466e-17 relative error = 1.9262202455122555511512659640700e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1785.3MB, alloc=4.3MB, time=123.18 x[1] = 0.602 y2[1] (analytic) = 1.1757953199549348885380653377883 y2[1] (numeric) = 1.3463615711414297743440348762996 absolute error = 0.1705662511864948858059695385113 relative error = 14.506457739007860411898210111962 % h = 0.001 y1[1] (analytic) = 1.1757953199549348885380653377883 y1[1] (numeric) = 1.175795319954934911215660371568 absolute error = 2.26775950337797e-17 relative error = 1.9287026108123029424314946425358e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.603 y2[1] (analytic) = 1.1763620239770984086414244362806 y2[1] (numeric) = 1.3474945672093109675833713526953 absolute error = 0.1711325432322125589419469164147 relative error = 14.54760862252589963080300027121 % h = 0.001 y1[1] (analytic) = 1.1763620239770984086414244362806 y1[1] (numeric) = 1.1763620239770984313590795807953 absolute error = 2.27176551445147e-17 relative error = 1.9311788957373695955952437674715e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1789.1MB, alloc=4.3MB, time=123.44 NO POLE NO POLE x[1] = 0.604 y2[1] (analytic) = 1.1769295516371693151506608681084 y2[1] (numeric) = 1.3486292108365420029296067837571 absolute error = 0.1716996591993726877789459156487 relative error = 14.588779673390787367965664786063 % h = 0.001 y1[1] (analytic) = 1.1769295516371693151506608681084 y1[1] (numeric) = 1.1769295516371693379083485673999 absolute error = 2.27576876992915e-17 relative error = 1.9336491013956094695102686890316e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1792.9MB, alloc=4.3MB, time=123.70 NO POLE NO POLE x[1] = 0.605 y2[1] (analytic) = 1.177497902367619995288838220145 y2[1] (numeric) = 1.349765500888479347705338274048 absolute error = 0.172267598520859352416500053903 relative error = 14.629970734935258907151126692774 % h = 0.001 y1[1] (analytic) = 1.177497902367619995288838220145 y1[1] (numeric) = 1.1774979023676200180865308782227 absolute error = 2.27976926580777e-17 relative error = 1.9361132289270236541815852932555e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1796.7MB, alloc=4.3MB, time=123.96 NO POLE NO POLE x[1] = 0.606 y2[1] (analytic) = 1.1780670756000997659678356463513 y2[1] (numeric) = 1.3509034362288330446640555529207 absolute error = 0.1728363606287332786962199065694 relative error = 14.671181650729993616490229839894 % h = 0.001 y1[1] (analytic) = 1.1780670756000997659678356463513 y1[1] (numeric) = 1.1780670756000997888055056272194 absolute error = 2.28376699808681e-17 relative error = 1.9385712795033116674261480097469e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1800.5MB, alloc=4.3MB, time=124.22 NO POLE NO POLE x[1] = 0.607 y2[1] (analytic) = 1.1786370707654354421389835933405 y2[1] (numeric) = 1.3520430157196678482800035302012 absolute error = 0.1734059449542324061410199368607 relative error = 14.712412264584414290845966404066 % h = 0.001 y1[1] (analytic) = 1.1786370707654354421389835933405 y1[1] (numeric) = 1.178637070765435465016603221026 absolute error = 2.28776196276855e-17 relative error = 1.9410232543278330853122804654344e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1804.3MB, alloc=4.3MB, time=124.49 NO POLE NO POLE x[1] = 0.608 y2[1] (analytic) = 1.1792078872936319059662014179512 y2[1] (numeric) = 1.35318423822140436268333299401 absolute error = 0.1739763509277724567171315760588 relative error = 14.753662420547480323277281696895 % h = 0.001 y1[1] (analytic) = 1.1792078872936319059662014179512 y1[1] (numeric) = 1.1792078872936319288837429765315 absolute error = 2.29175415585803e-17 relative error = 1.9434691546354671285690489564375e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1808.1MB, alloc=4.3MB, time=124.76 NO POLE NO POLE x[1] = 0.609 y2[1] (analytic) = 1.1797795246138726768210677237362 y2[1] (numeric) = 1.3543271025928201812394015156647 absolute error = 0.1745475779789475044183337919285 relative error = 14.794931962908474714617254170189 % h = 0.001 y1[1] (analytic) = 1.1797795246138726768210677237362 y1[1] (numeric) = 1.1797795246138726997785034573666 absolute error = 2.29574357336304e-17 relative error = 1.9459089816924976946440616245760e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1812.0MB, alloc=4.3MB, time=125.02 NO POLE NO POLE x[1] = 0.61 y2[1] (analytic) = 1.1803519821545204820992534213452 y2[1] (numeric) = 1.3554716076910510277710849824584 absolute error = 0.1751196255365305456718315611132 relative error = 14.836220736197784930304741817815 % h = 0.001 y1[1] (analytic) = 1.1803519821545204820992534213452 y1[1] (numeric) = 1.1803519821545205050965555342871 absolute error = 2.29973021129419e-17 relative error = 1.9483427367965661119342414810796e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1815.8MB, alloc=4.3MB, time=125.28 NO POLE NO POLE x[1] = 0.611 y2[1] (analytic) = 1.1809252593431178288577466964165 y2[1] (numeric) = 1.3566177523715918994229585360975 absolute error = 0.175692493028474070565211839681 relative error = 14.877528585187677613729933824818 % h = 0.001 y1[1] (analytic) = 1.1809252593431178288577466964165 y1[1] (numeric) = 1.1809252593431178518948873530648 absolute error = 2.30371406566483e-17 relative error = 1.9507704212764966258137227344923e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1819.6MB, alloc=4.3MB, time=125.55 NO POLE NO POLE x[1] = 0.612 y2[1] (analytic) = 1.1814993556063875762722982477992 y2[1] (numeric) = 1.3577655354882982111662040527126 absolute error = 0.1762661798819106348939058049134 relative error = 14.918855354893067165474648592894 % h = 0.001 y1[1] (analytic) = 1.1814993556063875762722982477992 y1[1] (numeric) = 1.1814993556063875993492495727102 absolute error = 2.30769513249110e-17 relative error = 1.9531920364922320376528018525291e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1823.4MB, alloc=4.3MB, time=125.81 NO POLE NO POLE x[1] = 0.613 y2[1] (analytic) = 1.1820742703702335089145143387088 y2[1] (numeric) = 1.358914955893386941943099659631 absolute error = 0.1768406855231534330285853209222 relative error = 14.960200890572278197947676488254 % h = 0.001 y1[1] (analytic) = 1.1820742703702335089145143387088 y1[1] (numeric) = 1.1820742703702335320312484166282 absolute error = 2.31167340779194e-17 relative error = 1.9556075838347353099708622180174e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1827.2MB, alloc=4.3MB, time=126.07 NO POLE NO POLE x[1] = 0.614 y2[1] (analytic) = 1.1826500030597409108480243837716 y2[1] (numeric) = 1.360066012437437782449945144517 absolute error = 0.1774160093776968716019207607454 relative error = 15.001565037727801875033978173082 % h = 0.001 y1[1] (analytic) = 1.1826500030597409108480243837716 y1[1] (numeric) = 1.1826500030597409340045132596622 absolute error = 2.31564888758906e-17 relative error = 1.9580170647258572552485776912588e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1831.0MB, alloc=4.3MB, time=126.33 NO POLE NO POLE x[1] = 0.615 y2[1] (analytic) = 1.1832265530991771405431489758368 y2[1] (numeric) = 1.3612187039693942845572754740493 absolute error = 0.1779921508702171440141264982125 relative error = 15.04294764210704614649411760219 % h = 0.001 y1[1] (analytic) = 1.1832265530991771405431489758368 y1[1] (numeric) = 1.1832265530991771637393646549069 absolute error = 2.31962156790701e-17 relative error = 1.9604204806182887466607185869625e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1834.8MB, alloc=4.3MB, time=126.59 NO POLE NO POLE x[1] = 0.616 y2[1] (analytic) = 1.1838039199119922066094934379379 y2[1] (numeric) = 1.3623730293365650123662130020185 absolute error = 0.1785691094245728057567195640806 relative error = 15.084348549703079886966933144896 % h = 0.001 y1[1] (analytic) = 1.1838039199119922066094934379379 y1[1] (numeric) = 1.1838039199119922298454078856687 absolute error = 2.32359144477308e-17 relative error = 1.9628178329953690863850647296643e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.617 y2[1] (analytic) = 1.1843821029208193443458911678558 y2[1] (numeric) = 1.3635289873846246948998073105884 absolute error = 0.1791468844638053505539161427326 relative error = 15.125767606755370949544131328665 % h = 0.001 y1[1] (analytic) = 1.1843821029208193443458911678558 y1[1] (numeric) = 1.18438210292081936762147631003 absolute error = 2.32755851421742e-17 relative error = 1.9652091233710803099546317541808e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1838.7MB, alloc=4.3MB, time=126.85 NO POLE NO POLE x[1] = 0.618 y2[1] (analytic) = 1.1849611015474755931071202253905 y2[1] (numeric) = 1.3646865769576153804282099934771 absolute error = 0.1797254754101397873210897680866 relative error = 15.167204659750518144000225939923 % h = 0.001 y1[1] (analytic) = 1.1849611015474755931071202253905 y1[1] (numeric) = 1.1849611015474756164223479481199 absolute error = 2.33152277227294e-17 relative error = 1.9675943532898554738620198157556e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1842.5MB, alloc=4.3MB, time=127.12 NO POLE NO POLE x[1] = 0.619 y2[1] (analytic) = 1.1855409152129623744868157956707 y2[1] (numeric) = 1.3658457968979475924265300559791 absolute error = 0.1803048816849852179397142603084 relative error = 15.208659555422977149875041250936 % h = 0.001 y1[1] (analytic) = 1.1855409152129623744868157956707 y1[1] (numeric) = 1.1855409152129623978416579454246 absolute error = 2.33548421497539e-17 relative error = 1.9699735243265389626668930971579e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1846.3MB, alloc=4.3MB, time=127.38 NO POLE NO POLE x[1] = 0.62 y2[1] (analytic) = 1.1861215433374660713160003456393 y2[1] (numeric) = 1.3670066460464014871642139740701 absolute error = 0.1808851027089354158482136284308 relative error = 15.250132140755780374718852604097 % h = 0.001 y1[1] (analytic) = 1.1861215433374660713160003456393 y1[1] (numeric) = 1.1861215433374660947104287292725 absolute error = 2.33944283836332e-17 relative error = 1.9723466380862453728923744836766e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1850.1MB, alloc=4.3MB, time=127.64 NO POLE NO POLE x[1] = 0.621 y2[1] (analytic) = 1.1867029853403586074766524752305 y2[1] (numeric) = 1.3681691232421280129247928233098 absolute error = 0.1814661379017694054481403480793 relative error = 15.291622262981250767922151158575 % h = 0.001 y1[1] (analytic) = 1.1867029853403586074766524752305 y1[1] (numeric) = 1.1867029853403586309106388600117 absolute error = 2.34339863847812e-17 relative error = 1.9747136962042858569154403088850e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1853.9MB, alloc=4.3MB, time=127.90 NO POLE NO POLE x[1] = 0.622 y2[1] (analytic) = 1.1872852406401980285297346497202 y2[1] (numeric) = 1.3693332273226500708548372578932 absolute error = 0.182047986682452042325102608173 relative error = 15.333129769581709600662993012937 % h = 0.001 y1[1] (analytic) = 1.1872852406401980285297346497202 y1[1] (numeric) = 1.1872852406401980520032507633601 absolute error = 2.34735161136399e-17 relative error = 1.9770747003460353592725976038554e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1857.7MB, alloc=4.3MB, time=128.16 NO POLE NO POLE x[1] = 0.623 y2[1] (analytic) = 1.1878683086547290831570991852689 y2[1] (numeric) = 1.3704989571238636774409594909917 absolute error = 0.1826306484691345942838603057228 relative error = 15.374654508290178222614926931477 % h = 0.001 y1[1] (analytic) = 1.1878683086547290831570991852689 y1[1] (numeric) = 1.1878683086547291066701167159484 absolute error = 2.35130175306795e-17 relative error = 1.9794296522068335529973951926105e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1861.6MB, alloc=4.3MB, time=128.42 NO POLE NO POLE x[1] = 0.624 y2[1] (analytic) = 1.1884521888008838054166910457999 y2[1] (numeric) = 1.3716663114800391286136997994786 absolute error = 0.1832141226791553231970087536787 relative error = 15.416196327091073806167590333603 % h = 0.001 y1[1] (analytic) = 1.1884521888008838054166910457999 y1[1] (numeric) = 1.1884521888008838289691816421985 absolute error = 2.35524905963986e-17 relative error = 1.9817785535118941196902476876576e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1865.4MB, alloc=4.3MB, time=128.69 NO POLE NO POLE x[1] = 0.625 y2[1] (analytic) = 1.1890368804947820978104651960589 y2[1] (numeric) = 1.3728352892238221654771334492503 absolute error = 0.1837984087290400676666682531914 relative error = 15.457755074220899089020220911727 % h = 0.001 y1[1] (analytic) = 1.1890368804947820978104651960589 y1[1] (numeric) = 1.1890368804947821214024004673831 absolute error = 2.35919352713242e-17 relative error = 1.9841214060161971161236447355505e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1869.2MB, alloc=4.3MB, time=128.95 NO POLE NO POLE x[1] = 0.626 y2[1] (analytic) = 1.189622383151732315164435442986 y2[1] (numeric) = 1.3740058891862351416630323116325 absolute error = 0.1843835060345028264985968686465 relative error = 15.499330598168926126115552122706 % h = 0.001 y1[1] (analytic) = 1.189622383151732315164435442986 y1[1] (numeric) = 1.1896223831517323387957869589975 absolute error = 2.36313515160115e-17 relative error = 1.9864582115043644875594434807444e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1873.0MB, alloc=4.3MB, time=129.21 NO POLE NO POLE x[1] = 0.627 y2[1] (analytic) = 1.1902086961862318493202708853993 y2[1] (numeric) = 1.3751781101966781923084138168079 absolute error = 0.1849694140104463429881429314086 relative error = 15.540922747677874061987845793378 % h = 0.001 y1[1] (analytic) = 1.1902086961862318493202708853993 y1[1] (numeric) = 1.1902086961862318729910101764437 absolute error = 2.36707392910444e-17 relative error = 1.9887889717905944050300213554098e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1876.8MB, alloc=4.3MB, time=129.47 NO POLE NO POLE x[1] = 0.628 y2[1] (analytic) = 1.1907958190119677146378552804441 y2[1] (numeric) = 1.3763519510829304046553082668131 absolute error = 0.185556132070962690017452986369 relative error = 15.582531371744580934704165175668 % h = 0.001 y1[1] (analytic) = 1.1907958190119677146378552804441 y1[1] (numeric) = 1.1907958190119677383479538374791 absolute error = 2.37100985570350e-17 relative error = 1.9911136887185114642747074072286e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1880.6MB, alloc=4.3MB, time=129.73 NO POLE NO POLE x[1] = 0.629 y2[1] (analytic) = 1.1913837510418171343082238242947 y2[1] (numeric) = 1.3775274106711509902715739084357 absolute error = 0.186143659629333855963350084141 relative error = 15.624156319620669522682408008844 % h = 0.001 y1[1] (analytic) = 1.1913837510418171343082238242947 y1[1] (numeric) = 1.1913837510418171580576530989187 absolute error = 2.37494292746240e-17 relative error = 1.9934323641610925169429438104516e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1884.4MB, alloc=4.3MB, time=129.99 NO POLE NO POLE x[1] = 0.63 y2[1] (analytic) = 1.1919724916878481274762910342229 y2[1] (numeric) = 1.3787044877858804588915875452933 absolute error = 0.1867319960980323314152965110704 relative error = 15.66579744081320724577310256161 % h = 0.001 y1[1] (analytic) = 1.1919724916878481274762910342229 y1[1] (numeric) = 1.1919724916878481512650224387038 absolute error = 2.37887314044809e-17 relative error = 1.9957450000205755913000148826064e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.631 y2[1] (analytic) = 1.1925620403613200971727826093538 y2[1] (numeric) = 1.3798831812500417938756368485027 absolute error = 0.1873211408887216967028542391489 relative error = 15.707454585085360132094521345962 % h = 0.001 y1[1] (analytic) = 1.1925620403613200971727826093538 y1[1] (numeric) = 1.1925620403613201210007875166572 absolute error = 2.38280049073034e-17 relative error = 1.9980515982283016507652016583010e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1888.3MB, alloc=4.3MB, time=130.25 NO POLE NO POLE x[1] = 0.632 y2[1] (analytic) = 1.1931523964726844190547833382246 y2[1] (numeric) = 1.3810634898849416292868389066441 absolute error = 0.1879110934122572102320555684195 relative error = 15.749127602457040862212288366681 % h = 0.001 y1[1] (analytic) = 1.1931523964726844190547833382246 y1[1] (numeric) = 1.1931523964726844429220330820427 absolute error = 2.38672497438181e-17 relative error = 2.0003521607446654291372074194691e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1892.1MB, alloc=4.3MB, time=130.51 NO POLE NO POLE x[1] = 0.633 y2[1] (analytic) = 1.1937435594315850309543123126502 y2[1] (numeric) = 1.3822454125102714285844079382001 absolute error = 0.1885018530786863976300956255499 relative error = 15.790816343205550902355347585596 % h = 0.001 y1[1] (analytic) = 1.1937435594315850309543123126502 y1[1] (numeric) = 1.1937435594315850548607781874302 absolute error = 2.39064658747800e-17 relative error = 2.0026466895589655420257164093663e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1895.9MB, alloc=4.3MB, time=130.77 NO POLE NO POLE x[1] = 0.634 y2[1] (analytic) = 1.1943355286468590232343358993664 y2[1] (numeric) = 1.3834289479441086649320934732998 absolute error = 0.1890934192972496416977575739334 relative error = 15.832520657866216738459923970038 % h = 0.001 y1[1] (analytic) = 1.1943355286468590232343358993664 y1[1] (numeric) = 1.1943355286468590471799891603397 absolute error = 2.39456532609733e-17 relative error = 2.0049351866893635466648928169274e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1899.7MB, alloc=4.3MB, time=131.04 NO POLE NO POLE x[1] = 0.635 y2[1] (analytic) = 1.1949283035265372299516281134903 y2[1] (numeric) = 1.3846140950029180031206086964291 absolute error = 0.1896857914763807731689805829388 relative error = 15.874240397233020222931945328678 % h = 0.001 y1[1] (analytic) = 1.1949283035265372299516281134903 y1[1] (numeric) = 1.1949283035265372539364399767006 absolute error = 2.39848118632103e-17 relative error = 2.0072176541826837760128313532638e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1903.5MB, alloc=4.3MB, time=131.30 NO POLE NO POLE x[1] = 0.636 y2[1] (analytic) = 1.1955218834778448208258872309833 y2[1] (numeric) = 1.3858008525015524831028670277758 absolute error = 0.1902789690237076622769797967925 relative error = 15.915975412359223046116304427133 % h = 0.001 y1[1] (analytic) = 1.1955218834778448208258872309833 y1[1] (numeric) = 1.1955218834778448448498288733158 absolute error = 2.40239416423325e-17 relative error = 2.0094940941143974481705302076056e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1907.3MB, alloc=4.3MB, time=131.56 NO POLE NO POLE x[1] = 0.637 y2[1] (analytic) = 1.1961162679072018940145166710524 y2[1] (numeric) = 1.386989219253254705140843408073 absolute error = 0.1908729513460528111263267370206 relative error = 15.95772555455798534455832796732 % h = 0.001 y1[1] (analytic) = 1.1961162679072018940145166710524 y1[1] (numeric) = 1.1961162679072019180775592302625 absolute error = 2.40630425592101e-17 relative error = 2.0117645085884727186787387445850e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1911.1MB, alloc=4.3MB, time=131.82 NO POLE NO POLE x[1] = 0.638 y2[1] (analytic) = 1.1967114562202240696924773737563 y2[1] (numeric) = 1.3881791940696580165628751401775 absolute error = 0.1914677378494339468703977664212 relative error = 15.999490675402978458238883297684 % h = 0.001 y1[1] (analytic) = 1.1967114562202240696924773737563 y1[1] (numeric) = 1.1967114562202240937945919484986 absolute error = 2.41021145747423e-17 relative error = 2.0140288997372916928285770076275e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1915.0MB, alloc=4.3MB, time=132.08 NO POLE NO POLE x[1] = 0.639 y2[1] (analytic) = 1.1973074478217230844366180930148 y2[1] (numeric) = 1.3893707757607877001302155301813 absolute error = 0.1920633279390646156935974371665 relative error = 16.041270626728991849059696620807 % h = 0.001 y1[1] (analytic) = 1.1973074478217230844366180930148 y1[1] (numeric) = 1.1973074478217231085777757428719 absolute error = 2.41411576498571e-17 relative error = 2.0162872697215255904226750107044e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1918.8MB, alloc=4.3MB, time=132.34 NO POLE NO POLE x[1] = 0.64 y2[1] (analytic) = 1.1979042421157073864138892207397 y2[1] (numeric) = 1.3905639631350621640116519616019 absolute error = 0.1926597210193547775977627408622 relative error = 16.083065260632534192949679445554 % h = 0.001 y1[1] (analytic) = 1.1979042421157073864138892207397 y1[1] (numeric) = 1.1979042421157074105940609662509 absolute error = 2.41801717455112e-17 relative error = 2.0185396207300182981674810534069e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1922.6MB, alloc=4.3MB, time=132.60 NO POLE NO POLE x[1] = 0.641 y2[1] (analytic) = 1.198501838505382731372844953923 y2[1] (numeric) = 1.3917587549992941333649984281322 absolute error = 0.1932569164939114019921534742092 relative error = 16.124874429472428658056364593442 % h = 0.001 y1[1] (analytic) = 1.198501838505382731372844953923 y1[1] (numeric) = 1.1985018385053827555920017766137 absolute error = 2.42191568226907e-17 relative error = 2.0207859549797366890249673327301e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1926.4MB, alloc=4.3MB, time=132.87 NO POLE NO POLE x[1] = 0.642 y2[1] (analytic) = 1.1991002363931527794378378132311 y2[1] (numeric) = 1.3929551501586918435242709435569 absolute error = 0.1938549137655390640864331303258 relative error = 16.166697985870402381578940752634 % h = 0.001 y1[1] (analytic) = 1.1991002363931527794378378132311 y1[1] (numeric) = 1.1991002363931528036959506556416 absolute error = 2.42581128424105e-17 relative error = 2.0230262747156123462057113390243e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1930.2MB, alloc=4.3MB, time=133.13 NO POLE NO POLE x[1] = 0.643 y2[1] (analytic) = 1.1996994351806196927053087189588 y2[1] (numeric) = 1.3941531474168602347913526417596 absolute error = 0.1944537122362405420860439228008 relative error = 16.208535782711670157890846953891 % h = 0.001 y1[1] (analytic) = 1.1996994351806196927053087189588 y1[1] (numeric) = 1.1996994351806197170023484846734 absolute error = 2.42970397657146e-17 relative error = 2.0252605822104584520313393065978e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1934.0MB, alloc=4.3MB, time=133.39 NO POLE NO POLE x[1] = 0.644 y2[1] (analytic) = 1.2002994342685847336415750281037 y2[1] (numeric) = 1.3953527455758021488309537752543 absolute error = 0.1950533113072174151893787471506 relative error = 16.250387673145512350690447032325 % h = 0.001 y1[1] (analytic) = 1.2002994342685847336415750281037 y1[1] (numeric) = 1.2002994342685847579775125817797 absolute error = 2.43359375536760e-17 relative error = 2.0274888797648532751595895073062e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.645 memory used=1937.8MB, alloc=4.3MB, time=133.66 y2[1] (analytic) = 1.2009002330570488642815181348221 y2[1] (numeric) = 1.3965539434359195266676702173825 absolute error = 0.1956537103788706623861520825604 relative error = 16.292253510585847042007950786589 % h = 0.001 y1[1] (analytic) = 1.2009002330570488642815181348221 y1[1] (numeric) = 1.200900233057048888656324302219 absolute error = 2.43748061673969e-17 relative error = 2.0297111697070486645069217487392e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.646 y2[1] (analytic) = 1.2015018309452133462275714356296 y2[1] (numeric) = 1.3977567397960146082839424712151 absolute error = 0.1962549088508012620563710355855 relative error = 16.334133148711796430985484836032 % h = 0.001 y1[1] (analytic) = 1.2015018309452133462275714356296 y1[1] (numeric) = 1.2015018309452133706412170036383 absolute error = 2.44136455680087e-17 relative error = 2.0319274543928618498580663872052e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1941.7MB, alloc=4.3MB, time=133.92 NO POLE NO POLE x[1] = 0.647 y2[1] (analytic) = 1.2021042273314803414484086604078 y2[1] (numeric) = 1.3989611334532911338177155873024 absolute error = 0.1968569061218107923693069268946 relative error = 16.376026441468247495435043828009 % h = 0.001 y1[1] (analytic) = 1.2021042273314803414484086604078 y1[1] (numeric) = 1.2021042273314803659008643770799 absolute error = 2.44524557166721e-17 relative error = 2.0341377362055755658277730920592e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1945.5MB, alloc=4.3MB, time=134.18 NO POLE NO POLE x[1] = 0.648 y2[1] (analytic) = 1.2027074216134535138767317705792 y2[1] (numeric) = 1.4001671232033555463585987927106 absolute error = 0.1974597015899020324818670221314 relative error = 16.417933243066406929265973414701 % h = 0.001 y1[1] (analytic) = 1.2027074216134535138767317705792 y1[1] (numeric) = 1.2027074216134535383679683451561 absolute error = 2.44912365745769e-17 relative error = 2.0363420175558132137571245333593e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1949.3MB, alloc=4.3MB, time=134.44 NO POLE NO POLE x[1] = 0.649 y2[1] (analytic) = 1.203311413187938631805556826712 y2[1] (numeric) = 1.401374707840218196341322035286 absolute error = 0.198063294652279564535765208574 relative error = 16.459853407984350368959652093113 % h = 0.001 y1[1] (analytic) = 1.203311413187938631805556826712 y1[1] (numeric) = 1.2033114131879386563355449296543 absolute error = 2.45299881029423e-17 relative error = 2.0385403008814556344375427933168e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1953.1MB, alloc=4.3MB, time=134.71 NO POLE NO POLE x[1] = 0.65 y2[1] (analytic) = 1.2039162014509441710823954293201 y2[1] (numeric) = 1.4025838861562945475352850497912 absolute error = 0.1986676847053503764528896204711 relative error = 16.501786790967565922354151405905 % h = 0.001 y1[1] (analytic) = 1.2039162014509441710823954293201 y1[1] (numeric) = 1.2039162014509441956511056923367 absolute error = 2.45687102630166e-17 relative error = 2.0407325886475079791799549554726e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1956.9MB, alloc=4.3MB, time=134.97 NO POLE NO POLE x[1] = 0.651 y2[1] (analytic) = 1.2045217857976819191007285387257 y2[1] (numeric) = 1.4037946569424063846289929564639 absolute error = 0.1992728711447244655282644177382 relative error = 16.543733247029492013085864993455 % h = 0.001 y1[1] (analytic) = 1.2045217857976819191007285387257 y1[1] (numeric) = 1.2045217857976819437081315548035 absolute error = 2.46074030160778e-17 relative error = 2.0429188833460413873422906429515e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1960.7MB, alloc=4.3MB, time=135.23 NO POLE NO POLE x[1] = 0.652 y2[1] (analytic) = 1.2051281656225675795881686825627 y2[1] (numeric) = 1.4050070189877830224081708076637 absolute error = 0.199878853365215442820002125101 relative error = 16.585692631452049554118408460044 % h = 0.001 y1[1] (analytic) = 1.2051281656225675795881686825627 y1[1] (numeric) = 1.2051281656225676042342350059958 absolute error = 2.46460663234331e-17 relative error = 2.0450991874960432518170032029891e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1964.6MB, alloc=4.3MB, time=135.49 NO POLE NO POLE x[1] = 0.653 y2[1] (analytic) = 1.2057353403192213781907057628076 y2[1] (numeric) = 1.4062209710800625165263479045937 absolute error = 0.2004856307608411383356421417861 relative error = 16.627664799786168463871505895216 % h = 0.001 y1[1] (analytic) = 1.2057353403192213781907057628076 y1[1] (numeric) = 1.2057353403192214028754059092268 absolute error = 2.46847001464192e-17 relative error = 2.0472735036433339762884117275578e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1968.4MB, alloc=4.3MB, time=135.76 NO POLE NO POLE x[1] = 0.654 y2[1] (analytic) = 1.2063433092804686688524308781435 y2[1] (numeric) = 1.4074365120052928758667011136122 absolute error = 0.2010932027248242070142702354687 relative error = 16.669649607852308538544097132115 % h = 0.001 y1[1] (analytic) = 1.2063433092804686688524308781435 y1[1] (numeric) = 1.2063433092804686935757353245459 absolute error = 2.47233044464024e-17 relative error = 2.0494418343604670972037825252459e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1972.2MB, alloc=4.3MB, time=136.02 NO POLE NO POLE x[1] = 0.655 y2[1] (analytic) = 1.2069520718983405409901317819836 y2[1] (numeric) = 1.4086536405479332764939448203934 absolute error = 0.2017015686495927355038130384098 relative error = 16.711646911740974694306524419864 % h = 0.001 y1[1] (analytic) = 1.2069520718983405409901317819836 y1[1] (numeric) = 1.2069520718983405657520109667618 absolute error = 2.47618791847782e-17 relative error = 2.0516041822465879749279482702449e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1976.0MB, alloc=4.3MB, time=136.28 NO POLE NO POLE x[1] = 0.656 y2[1] (analytic) = 1.207561627564074427462152801609 y2[1] (numeric) = 1.4098723554908552771950535701478 absolute error = 0.2023107279267808497329007685388 relative error = 16.753656567813226593116390158642 % h = 0.001 y1[1] (analytic) = 1.207561627564074427462152801609 y1[1] (numeric) = 1.207561627564074452262577124581 absolute error = 2.48004243229720e-17 relative error = 2.0537605499273837008530206925408e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1979.8MB, alloc=4.3MB, time=136.54 NO POLE NO POLE x[1] = 0.657 y2[1] (analytic) = 1.2081719756681147133309112496125 y2[1] (numeric) = 1.4110926556153440366076018532808 absolute error = 0.2029206799472293232766906036683 relative error = 16.795678432701182665991520749292 % h = 0.001 y1[1] (analytic) = 1.2081719756681147133309112496125 y1[1] (numeric) = 1.2081719756681147381698510720511 absolute error = 2.48389398224386e-17 relative error = 2.0559109400549335301800174780450e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1983.6MB, alloc=4.3MB, time=136.80 NO POLE NO POLE x[1] = 0.658 y2[1] (analytic) = 1.2087831156001133454184615651814 y2[1] (numeric) = 1.4123145397010995319345039082516 absolute error = 0.2035314241009861865160423430702 relative error = 16.837712363308518547651427530711 % h = 0.001 y1[1] (analytic) = 1.2087831156001133454184615651814 y1[1] (numeric) = 1.2087831156001133702958872098439 absolute error = 2.48774256446625e-17 relative error = 2.0580553553076256493456729020833e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1987.4MB, alloc=4.3MB, time=137.06 x[1] = 0.659 y2[1] (analytic) = 1.2093950467489304426544976297072 y2[1] (numeric) = 1.4135380065262377792439348269936 absolute error = 0.2041429597773073365894371972864 relative error = 16.879758216810959936515726334476 % h = 0.001 y1[1] (analytic) = 1.2093950467489304426544976297072 y1[1] (numeric) = 1.2093950467489304675703793808651 absolute error = 2.49158817511579e-17 relative error = 2.0601937983900490912195200838680e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.66 y2[1] (analytic) = 1.2100077685026349072161829087698 y2[1] (numeric) = 1.4147630548672920553532126630777 absolute error = 0.2047552863646571481370297543079 relative error = 16.921815850656769894124164526748 % h = 0.001 y1[1] (analytic) = 1.2100077685026349072161829087698 y1[1] (numeric) = 1.2100077685026349321704910122385 absolute error = 2.49543081034687e-17 relative error = 2.0623262720328856811167629730537e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1991.3MB, alloc=4.3MB, time=137.32 NO POLE NO POLE x[1] = 0.661 y2[1] (analytic) = 1.2106212802485050364591972807178 y2[1] (numeric) = 1.415989683499214121295419658837 absolute error = 0.2053684032507090848362223781192 relative error = 16.963885122567230598118210709977 % h = 0.001 y1[1] (analytic) = 1.2106212802485050364591972807178 y1[1] (numeric) = 1.2106212802485050614519019438864 absolute error = 2.49927046631686e-17 relative error = 2.0644527789928102758016119924696e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1995.1MB, alloc=4.3MB, time=137.58 NO POLE NO POLE x[1] = 0.662 y2[1] (analytic) = 1.2112355813730291356393886208484 y2[1] (numeric) = 1.417217891195375447367539124935 absolute error = 0.2059823098223463117281505040866 relative error = 17.005965890537119562998589731602 % h = 0.001 y1[1] (analytic) = 1.2112355813730291356393886208484 y1[1] (numeric) = 1.2112355813730291606704600127094 absolute error = 2.50310713918610e-17 relative error = 2.0665733220523745000018975245899e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=1998.9MB, alloc=4.3MB, time=137.84 NO POLE NO POLE x[1] = 0.663 y2[1] (analytic) = 1.2118506712619061314244164195866 y2[1] (numeric) = 1.4184476767275684397588829243414 absolute error = 0.2065970054656623083344665047548 relative error = 17.04805801283518034294669653111 % h = 0.001 y1[1] (analytic) = 1.2118506712619061314244164195866 y1[1] (numeric) = 1.2118506712619061564938246707657 absolute error = 2.50694082511791e-17 relative error = 2.0686879040199070483773010053593e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2002.7MB, alloc=4.3MB, time=138.10 NO POLE NO POLE x[1] = 0.664 y2[1] (analytic) = 1.2124665493000461861947739230711 y2[1] (numeric) = 1.4196790388660076687585829323909 absolute error = 0.2072124895659614825638090093198 relative error = 17.090161348004587731070498919885 % h = 0.001 y1[1] (analytic) = 1.2124665493000461861947739230711 y1[1] (numeric) = 1.2124665493000462113024891258573 absolute error = 2.51077152027862e-17 relative error = 2.0707965277294304962053051874123e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2006.5MB, alloc=4.3MB, time=138.35 NO POLE NO POLE x[1] = 0.665 y2[1] (analytic) = 1.2130832148715713131335744951767 y2[1] (numeric) = 1.4209119763793310985409182655356 absolute error = 0.2078287615077597854073437703589 relative error = 17.132275754863407469507343926411 % h = 0.001 y1[1] (analytic) = 1.2130832148715713131335744951767 y1[1] (numeric) = 1.213083214871571338279566703552 absolute error = 2.51459922083753e-17 relative error = 2.0728991960405203708584436776358e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2010.3MB, alloc=4.3MB, time=138.62 NO POLE NO POLE x[1] = 0.666 y2[1] (analytic) = 1.213700667359815992104487111237 y2[1] (numeric) = 1.4221464880346013185272484935663 absolute error = 0.2084458206747853264227613823293 relative error = 17.174401092505050484887017179433 % h = 0.001 y1[1] (analytic) = 1.213700667359815992104487111237 y1[1] (numeric) = 1.2137006673598160172887263409063 absolute error = 2.51842392296693e-17 relative error = 2.0749959118382138018295891969960e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2014.1MB, alloc=4.3MB, time=138.88 NO POLE NO POLE x[1] = 0.667 y2[1] (analytic) = 1.2143189061473277863172051055833 y2[1] (numeric) = 1.4233825725973067763233214734721 absolute error = 0.2090636664499789900061163678888 relative error = 17.216537220298721663728472297037 % h = 0.001 y1[1] (analytic) = 1.2143189061473277863172051055833 y1[1] (numeric) = 1.2143189061473278115396613340046 absolute error = 2.52224562284213e-17 relative error = 2.0770866780329263997611280042206e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2018.0MB, alloc=4.3MB, time=139.14 NO POLE NO POLE x[1] = 0.668 y2[1] (analytic) = 1.2149379306158679597798315074841 y2[1] (numeric) = 1.4246202288313630122307228677334 absolute error = 0.2096822982154950524508913602493 relative error = 17.25868399788986318241284978297 % h = 0.001 y1[1] (analytic) = 1.2149379306158679597798315074841 y1[1] (numeric) = 1.2149379306158679850404746738982 absolute error = 2.52606431664141e-17 relative error = 2.0791714975603032590851444642491e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2021.8MB, alloc=4.3MB, time=139.40 NO POLE NO POLE x[1] = 0.669 y2[1] (analytic) = 1.2155577401464120955375635131482 y2[1] (numeric) = 1.4258594554991138953312328357011 absolute error = 0.2103017153527017997936693225529 relative error = 17.30084128520059240644374491345 % h = 0.001 y1[1] (analytic) = 1.2155577401464120955375635131482 y1[1] (numeric) = 1.2155577401464121208363635186092 absolute error = 2.52988000054610e-17 relative error = 2.0812503733811770813083098524829e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2025.6MB, alloc=4.3MB, time=139.67 NO POLE NO POLE x[1] = 0.67 y2[1] (analytic) = 1.2161783341191507146970578551619 y2[1] (numeric) = 1.4271002513613328611428538138093 absolute error = 0.2109219172421821464457959586474 relative error = 17.3430089424301343737731639639 % h = 0.001 y1[1] (analytic) = 1.2161783341191507146970578551619 y1[1] (numeric) = 1.216178334119150740033984562567 absolute error = 2.53369267074051e-17 relative error = 2.0833233084814028095072130453746e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2029.4MB, alloc=4.3MB, time=139.94 NO POLE NO POLE x[1] = 0.671 y2[1] (analytic) = 1.2167997119134898962358580450436 y2[1] (numeric) = 1.4283426151772241508462717286957 absolute error = 0.2115429032637342546104136836521 relative error = 17.385186830055248877038230341769 % h = 0.001 y1[1] (analytic) = 1.2167997119134898962358580450436 y1[1] (numeric) = 1.2167997119134899216108812791633 absolute error = 2.53750232341197e-17 relative error = 2.0853903058717828918665158822334e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2033.2MB, alloc=4.3MB, time=140.20 NO POLE NO POLE x[1] = 0.672 y2[1] (analytic) = 1.2174218729080518975962636795423 y2[1] (numeric) = 1.4295865457044240520805114168727 absolute error = 0.2121646727963721544842477373304 relative error = 17.427374808830652159619469247941 % h = 0.001 y1[1] (analytic) = 1.2174218729080518975962636795423 y1[1] (numeric) = 1.2174218729080519230093532270505 absolute error = 2.54130895475082e-17 relative error = 2.0874513685879514275835131873983e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2037.0MB, alloc=4.3MB, time=140.46 NO POLE NO POLE x[1] = 0.673 y2[1] (analytic) = 1.2180448164806757760630212168607 y2[1] (numeric) = 1.4308320416990021413065454553966 absolute error = 0.2127872252183263652435242385359 relative error = 17.46957273978943324049641390372 % h = 0.001 y1[1] (analytic) = 1.2180448164806757760630212168607 y1[1] (numeric) = 1.2180448164806758015141468263651 absolute error = 2.54511256095044e-17 relative error = 2.0895064996902912328249195222937e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.674 y2[1] (analytic) = 1.2186685420084180109242148451658 y2[1] (numeric) = 1.4320791019154625277376140400296 absolute error = 0.2134105599070445168133991948638 relative error = 17.511780484243464882940340694983 % h = 0.001 y1[1] (analytic) = 1.2186685420084180109242148451658 y1[1] (numeric) = 1.218668542008418036413346227238 absolute error = 2.54891313820722e-17 relative error = 2.0915557022638016541578534202567e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2040.8MB, alloc=4.3MB, time=140.72 NO POLE NO POLE x[1] = 0.675 y2[1] (analytic) = 1.219293048867553126414735282546 y2[1] (numeric) = 1.4333277251067450988350119806793 absolute error = 0.2140346762391919724202766981333 relative error = 17.553997903783809222147157369859 % h = 0.001 y1[1] (analytic) = 1.219293048867553126414735282546 y1[1] (numeric) = 1.2192930488675531519418421097518 absolute error = 2.55271068272058e-17 relative error = 2.0935989794180075239362871751981e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2044.7MB, alloc=4.3MB, time=140.98 NO POLE NO POLE x[1] = 0.676 y2[1] (analytic) = 1.2199183364335743154417035649992 y2[1] (numeric) = 1.434577910024226767368097318431 absolute error = 0.2146595735906524519263937534318 relative error = 17.596224860281118066975840273412 % h = 0.001 y1[1] (analytic) = 1.2199183364335743154417035649992 y1[1] (numeric) = 1.219918336433574341006755471929 absolute error = 2.55650519069298e-17 relative error = 2.0956363342868599287508484937590e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2048.5MB, alloc=4.3MB, time=141.24 NO POLE NO POLE x[1] = 0.677 y2[1] (analytic) = 1.2205444040811940640912260970796 y2[1] (numeric) = 1.4358296554177227200372745042693 absolute error = 0.2152852513365286559460484071897 relative error = 17.638461215886027891019346133077 % h = 0.001 y1[1] (analytic) = 1.2205444040811940640912260970796 y1[1] (numeric) = 1.2205444040811940896941926803787 absolute error = 2.56029665832991e-17 relative error = 2.0976677700286206290600443006767e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2052.3MB, alloc=4.3MB, time=141.51 NO POLE NO POLE x[1] = 0.678 y2[1] (analytic) = 1.2211712511843447769158564585004 y2[1] (numeric) = 1.4370829600354876676587035166092 absolute error = 0.2159117088511428907428470581088 relative error = 17.680706833029549528295613763858 % h = 0.001 y1[1] (analytic) = 1.2211712511843447769158564585004 y1[1] (numeric) = 1.2211712511843448025567072768994 absolute error = 2.56408508183990e-17 relative error = 2.0996932898257629460811381239425e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2056.1MB, alloc=4.3MB, time=141.77 NO POLE NO POLE x[1] = 0.679 y2[1] (analytic) = 1.221798877116179403002138679282 y2[1] (numeric) = 1.4383378226242170969094847330324 absolute error = 0.2165389455080376939073460537504 relative error = 17.722961574423452588906123911364 % h = 0.001 y1[1] (analytic) = 1.221798877116179403002138679282 y1[1] (numeric) = 1.2217988771161794286808432536273 absolute error = 2.56787045743453e-17 relative error = 2.1017128968848726895318795102886e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2059.9MB, alloc=4.3MB, time=142.03 NO POLE NO POLE x[1] = 0.68 y2[1] (analytic) = 1.2224272812490720628176059159557 y2[1] (numeric) = 1.4395942419290485236320678111474 absolute error = 0.2171669606799764608144618951917 relative error = 17.765225303060644610068503984101 % h = 0.001 y1[1] (analytic) = 1.2224272812490720628176059159557 y1[1] (numeric) = 1.2224272812490720885341337292399 absolute error = 2.57165278132842e-17 relative error = 2.1037265944365327670721672534484e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2063.7MB, alloc=4.3MB, time=142.29 NO POLE NO POLE x[1] = 0.681 y2[1] (analytic) = 1.2230564629546186758366076818755 y2[1] (numeric) = 1.4408522166935627476966312742697 absolute error = 0.2177957537389440718600235923942 relative error = 17.80749788221554495798785136052 % h = 0.001 y1[1] (analytic) = 1.2230564629546186758366076818755 y1[1] (numeric) = 1.2230564629546187015909281792681 absolute error = 2.57543204973926e-17 relative error = 2.1057343857352405935171062942432e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2067.5MB, alloc=4.3MB, time=142.55 NO POLE NO POLE x[1] = 0.682 y2[1] (analytic) = 1.223686421603637588944338005864 y2[1] (numeric) = 1.442111745659785109420177939647 absolute error = 0.218425324056147520475839933783 relative error = 17.849779175444453496088807028031 % h = 0.001 y1[1] (analytic) = 1.223686421603637588944338005864 y1[1] (numeric) = 1.2236864216036376147364205947416 absolute error = 2.57920825888776e-17 relative error = 2.1077362740592601193834329412228e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2071.4MB, alloc=4.3MB, time=142.82 NO POLE NO POLE x[1] = 0.683 y2[1] (analytic) = 1.2243171565661702056184361152149 y2[1] (numeric) = 1.4433728275681867475410897702379 absolute error = 0.219055671002016541922653655023 relative error = 17.892069046585914035186943282986 % h = 0.001 y1[1] (analytic) = 1.2243171565661702056184361152149 y1[1] (numeric) = 1.2243171565661702314482501651923 absolute error = 2.58298140499774e-17 relative error = 2.1097322627105884082059678991880e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2075.2MB, alloc=4.3MB, time=143.08 NO POLE NO POLE x[1] = 0.684 y2[1] (analytic) = 1.2249486672114816158875304615069 y2[1] (numeric) = 1.4446354611576858587478841755952 absolute error = 0.2196867939462042428603537140883 relative error = 17.934367359761072581233737875136 % h = 0.001 y1[1] (analytic) = 1.2249486672114816158875304615069 y1[1] (numeric) = 1.2249486672114816417550453044672 absolute error = 2.58675148429603e-17 relative error = 2.1117223550147669527246041075683e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2079.0MB, alloc=4.3MB, time=143.34 NO POLE NO POLE x[1] = 0.685 y2[1] (analytic) = 1.2255809529080612270660961307334 y2[1] (numeric) = 1.4458996451656489587609122332016 absolute error = 0.2203186922575877316948161024682 relative error = 17.976673979374030396324295124739 % h = 0.001 y1[1] (analytic) = 1.2255809529080612270660961307334 y1[1] (numeric) = 1.225580952908061252971281060859 absolute error = 2.59051849301256e-17 relative error = 2.1137065543208483486823646979038e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2082.8MB, alloc=4.3MB, time=143.60 NO POLE NO POLE x[1] = 0.686 y2[1] (analytic) = 1.2262140130236233952649949029474 y2[1] (numeric) = 1.4471653783278921449657377486652 absolute error = 0.2209513653042687497007428457178 relative error = 18.018988770112191888711045001025 % h = 0.001 y1[1] (analytic) = 1.2262140130236233952649949029474 y1[1] (numeric) = 1.2262140130236234212078191767506 absolute error = 2.59428242738032e-17 relative error = 2.1156848640012568019817037638658e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2086.6MB, alloc=4.3MB, time=143.86 NO POLE NO POLE x[1] = 0.687 y2[1] (analytic) = 1.2268478469251080576770664509304 y2[1] (numeric) = 1.4484326593786823605969345215006 absolute error = 0.2215848124535743029198680705702 relative error = 18.061311596946607347619906779238 % h = 0.001 y1[1] (analytic) = 1.2268478469251080576770664509304 y1[1] (numeric) = 1.2268478469251080836574992872842 absolute error = 2.59804328363538e-17 relative error = 2.1176572874516977225714383612479e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.688 y2[1] (analytic) = 1.2274824539786813656371383923497 y2[1] (numeric) = 1.4497014870507386604710376328039 absolute error = 0.2222190330720572948338992404542 relative error = 18.103642325132310538717847557756 % h = 0.001 y1[1] (analytic) = 1.2274824539786813656371383923497 y1[1] (numeric) = 1.2274824539786813916551489725185 absolute error = 2.60180105801688e-17 relative error = 2.1196238280910429090156933292756e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2090.4MB, alloc=4.3MB, time=144.12 NO POLE NO POLE x[1] = 0.689 y2[1] (analytic) = 1.2281178335497363184558221354451 y2[1] (numeric) = 1.4509718600752334782673830219758 absolute error = 0.2228540265254971598115608865307 relative error = 18.145980820208651176132400510907 % h = 0.001 y1[1] (analytic) = 1.2281178335497363184558221354451 y1[1] (numeric) = 1.2281178335497363445113796031155 absolute error = 2.60555574676704e-17 relative error = 2.1215844893612321265964231840234e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2094.3MB, alloc=4.3MB, time=144.38 NO POLE NO POLE x[1] = 0.69 y2[1] (analytic) = 1.2287539850028933980264606845022 y2[1] (numeric) = 1.4522437771817938953555680717585 absolute error = 0.2234897921789004973291073872563 relative error = 18.188326947999622286974536187169 % h = 0.001 y1[1] (analytic) = 1.2287539850028933980264606845022 y1[1] (numeric) = 1.2287539850028934241195341458141 absolute error = 2.60930734613119e-17 relative error = 2.1235392747271910216050225808024e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2098.1MB, alloc=4.3MB, time=144.65 NO POLE NO POLE x[1] = 0.691 y2[1] (analytic) = 1.2293909077020012042045937982186 y2[1] (numeric) = 1.453517237098502911168264374232 absolute error = 0.2241263293965017069636705760134 relative error = 18.230680574614182484366305369923 % h = 0.001 y1[1] (analytic) = 1.2293909077020012042045937982186 y1[1] (numeric) = 1.2293909077020012303351523217957 absolute error = 2.61305585235771e-17 relative error = 2.1254881876766758392238001942222e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2101.9MB, alloc=4.3MB, time=144.91 NO POLE NO POLE x[1] = 0.692 y2[1] (analytic) = 1.2300286010101370909593051215486 y2[1] (numeric) = 1.4547922385519007151181123050627 absolute error = 0.2247636375417636241588071835141 relative error = 18.273041566446573165023896950899 % h = 0.001 y1[1] (analytic) = 1.2300286010101370909593051215486 y1[1] (numeric) = 1.2300286010101371171273177385296 absolute error = 2.61680126169810e-17 relative error = 2.1274312317202240698908639096366e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2105.7MB, alloc=4.3MB, time=145.17 NO POLE NO POLE x[1] = 0.693 y2[1] (analytic) = 1.2306670642896078032958151397345 y2[1] (numeric) = 1.4560687802669859600574254892157 absolute error = 0.2254017159773781567616103494812 relative error = 18.315409790176630647495181895906 % h = 0.001 y1[1] (analytic) = 1.2306670642896078032958151397345 y1[1] (numeric) = 1.2306670642896078295012508438041 absolute error = 2.62054357040696e-17 relative error = 2.1293684103910318772122038956846e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2109.5MB, alloc=4.3MB, time=145.44 NO POLE NO POLE x[1] = 0.694 y2[1] (analytic) = 1.2313062969019501149486830319832 y2[1] (numeric) = 1.4573468609672170372794316985324 absolute error = 0.2260405640652669223307486665492 relative error = 18.357785112770093267198447700864 % h = 0.001 y1[1] (analytic) = 1.2313062969019501149486830319832 y1[1] (numeric) = 1.231306296901950141191510779403 absolute error = 2.62428277474198e-17 relative error = 2.1312997272448397892553454131463e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2113.3MB, alloc=4.3MB, time=145.71 NO POLE NO POLE x[1] = 0.695 y2[1] (analytic) = 1.2319462982079314668449797316401 y2[1] (numeric) = 1.458626479374513353059775180039 absolute error = 0.2266801811665818862147954483989 relative error = 18.400167401478903444455869752187 % h = 0.001 y1[1] (analytic) = 1.2319462982079314668449797316401 y1[1] (numeric) = 1.2319462982079314931251684412795 absolute error = 2.62801887096394e-17 relative error = 2.1332251858598266253270657859586e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2117.1MB, alloc=4.3MB, time=145.97 NO POLE NO POLE x[1] = 0.696 y2[1] (analytic) = 1.2325870675675506063367937297397 y2[1] (numeric) = 1.4599076342092566067370038735894 absolute error = 0.2273205666417060004002101438497 relative error = 18.442556523841504741761319748807 % h = 0.001 y1[1] (analytic) = 1.2325870675675506063367937297397 y1[1] (numeric) = 1.2325870675675506326543122831073 absolute error = 2.63175185533676e-17 relative error = 2.1351447898365440823754995538978e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2121.0MB, alloc=4.3MB, time=146.23 NO POLE NO POLE x[1] = 0.697 y2[1] (analytic) = 1.2332286043400382272024303894814 y2[1] (numeric) = 1.4611903241902920703307634384627 absolute error = 0.2279617198502538431283330489813 relative error = 18.484952347683133926567379859971 % h = 0.001 y1[1] (analytic) = 1.2332286043400382272024303894814 y1[1] (numeric) = 1.233228604340038253557247630756 absolute error = 2.63548172412746e-17 relative error = 2.1370585427977783117324079276516e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2124.8MB, alloc=4.3MB, time=146.49 NO POLE NO POLE x[1] = 0.698 y2[1] (analytic) = 1.2338709078838576104156647704838 y2[1] (numeric) = 1.462474548034929869696418470827 absolute error = 0.2286036401510722592807537003432 relative error = 18.527354741116108055920917648619 % h = 0.001 y1[1] (analytic) = 1.2338709078838576104156647704838 y1[1] (numeric) = 1.2338709078838576368077495065454 absolute error = 2.63920847360616e-17 relative error = 2.1389664483884441131150752035047e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2128.6MB, alloc=4.3MB, time=146.76 NO POLE NO POLE x[1] = 0.699 y2[1] (analytic) = 1.234513977556705265682407193618 y2[1] (numeric) = 1.4637603044589462672148197575555 absolute error = 0.2292463269022410015324125639375 relative error = 18.569763572540106599320284067193 % h = 0.001 y1[1] (analytic) = 1.234513977556705265682407193618 y1[1] (numeric) = 1.2345139775567052921117281940791 absolute error = 2.64293210004611e-17 relative error = 2.1408685102755035289454454778585e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2132.4MB, alloc=4.3MB, time=147.02 NO POLE NO POLE x[1] = 0.7 y2[1] (analytic) = 1.2351578127155115737441400098081 y2[1] (numeric) = 1.4650475921765849460159348767344 absolute error = 0.2298897794610733722717948669263 relative error = 18.612178710642448616210128130887 % h = 0.001 y1[1] (analytic) = 1.2351578127155115737441400098081 y1[1] (numeric) = 1.235157812715511600210666007045 absolute error = 2.64665259972369e-17 relative error = 2.1427647321478601750829908759427e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2136.2MB, alloc=4.3MB, time=147.28 NO POLE NO POLE x[1] = 0.701 y2[1] (analytic) = 1.2358024127164414294474832694162 y2[1] (numeric) = 1.4663364099005582957350579213394 absolute error = 0.2305339971841168662875746519232 relative error = 18.654600024398365004571980309917 % h = 0.001 y1[1] (analytic) = 1.2358024127164414294474832694162 y1[1] (numeric) = 1.2358024127164414559511829586001 absolute error = 2.65036996891839e-17 relative error = 2.1446551177162374900685323409662e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2140.0MB, alloc=4.3MB, time=147.54 x[1] = 0.702 y2[1] (analytic) = 1.2364477769148948855792462226979 y2[1] (numeric) = 1.4676267563420486998003125899774 absolute error = 0.2311789794271538142210663672795 relative error = 18.697027383071265837110145391033 % h = 0.001 y1[1] (analytic) = 1.2364477769148948855792462226979 y1[1] (numeric) = 1.2364477769148949121200882618265 absolute error = 2.65408420391286e-17 relative error = 2.1465396707131137527086408290745e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.703 y2[1] (analytic) = 1.2370939046655077974663208163335 y2[1] (numeric) = 1.4689186302107098242501613572985 absolute error = 0.231824725545202026783840540965 relative error = 18.739460656213002801573067688818 % h = 0.001 y1[1] (analytic) = 1.2370939046655077974663208163335 y1[1] (numeric) = 1.237093904665507824044273826262 absolute error = 2.65779530099285e-17 relative error = 2.1484183948925681602735621371648e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2143.8MB, alloc=4.3MB, time=147.80 NO POLE NO POLE x[1] = 0.704 y2[1] (analytic) = 1.2377407953221524683397725861917 y2[1] (numeric) = 1.4702120302146679080796319066758 absolute error = 0.2324712348925154397398593204841 relative error = 18.781899713664126761790190206771 % h = 0.001 y1[1] (analytic) = 1.2377407953221524683397725861917 y1[1] (numeric) = 1.2377407953221524949548051506644 absolute error = 2.66150325644727e-17 relative error = 2.1502912940302241164949561190151e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2147.7MB, alloc=4.3MB, time=148.05 NO POLE NO POLE x[1] = 0.705 y2[1] (analytic) = 1.2383884482379382954624835822915 y2[1] (numeric) = 1.4715069550605230551139704790347 absolute error = 0.2331185068225847596514868967432 relative error = 18.82434442555414045604342783711 % h = 0.001 y1[1] (analytic) = 1.2383884482379382954624835822915 y1[1] (numeric) = 1.2383884482379383221145642479732 absolute error = 2.66520806656817e-17 relative error = 2.1521583719231278758014522182132e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2151.5MB, alloc=4.3MB, time=148.32 NO POLE NO POLE x[1] = 0.706 y2[1] (analytic) = 1.2390368627652124170197011983717 y2[1] (numeric) = 1.4728034034533505274084302642855 absolute error = 0.2337665406881381103887290659138 relative error = 18.866794662301746349430716145821 % h = 0.001 y1[1] (analytic) = 1.2390368627652124170197011983717 y1[1] (numeric) = 1.239036862765212443708798474879 absolute error = 2.66890972765073e-17 relative error = 2.1540196323896354189268977755885e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2155.3MB, alloc=4.3MB, time=148.58 NO POLE NO POLE x[1] = 0.707 y2[1] (analytic) = 1.2396860382555603597718460155734 y2[1] (numeric) = 1.4741013740967020401729014356789 absolute error = 0.2344153358411416804010554201055 relative error = 18.909250294615089656916684927311 % h = 0.001 y1[1] (analytic) = 1.2396860382555603597718460155734 y1[1] (numeric) = 1.2396860382555603864979283755063 absolute error = 2.67260823599329e-17 relative error = 2.1558750792693317314902053732755e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2159.1MB, alloc=4.3MB, time=148.84 NO POLE NO POLE x[1] = 0.708 y2[1] (analytic) = 1.2403359740598066874689310074817 y2[1] (numeric) = 1.4754008656926070582200879025626 absolute error = 0.2350648916328003707511568950809 relative error = 18.951711193491996553802342759209 % h = 0.001 y1[1] (analytic) = 1.2403359740598066874689310074817 y1[1] (numeric) = 1.2403359740598067142319668864552 absolute error = 2.67630358789735e-17 relative error = 2.1577247164229259323578292698934e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2162.9MB, alloc=4.3MB, time=149.10 NO POLE NO POLE x[1] = 0.709 y2[1] (analytic) = 1.2409866695280156500259436921618 y2[1] (numeric) = 1.4767018769415740939359343334694 absolute error = 0.2357152074135584439099906413076 relative error = 18.994177230220207590381748484248 % h = 0.001 y1[1] (analytic) = 1.2409866695280156500259436921618 y1[1] (numeric) = 1.2409866695280156768259014888373 absolute error = 2.67999577966755e-17 relative error = 2.1595685477321304000999191710913e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2166.7MB, alloc=4.3MB, time=149.36 NO POLE NO POLE x[1] = 0.71 y2[1] (analytic) = 1.2416381240094918334585420558604 y2[1] (numeric) = 1.4780044065425920067710054792192 absolute error = 0.2363662825331001733124634233588 relative error = 19.036648276377606327588991149838 % h = 0.001 y1[1] (analytic) = 1.2416381240094918334585420558604 y1[1] (numeric) = 1.2416381240094918602953901319775 absolute error = 2.68368480761171e-17 relative error = 2.1614065770995883891963784991090e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2170.5MB, alloc=4.3MB, time=149.62 NO POLE NO POLE x[1] = 0.711 y2[1] (analytic) = 1.2422903368527808105784143127322 y2[1] (numeric) = 1.4793084531931313042515183047625 absolute error = 0.2370181163403504936731039920303 relative error = 19.079124203832443210473404716103 % h = 0.001 y1[1] (analytic) = 1.2422903368527808105784143127322 y1[1] (numeric) = 1.24229033685278083745212099314 absolute error = 2.68737066804078e-17 relative error = 2.1632388084487292151457335073183e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2174.4MB, alloc=4.3MB, time=149.88 NO POLE NO POLE x[1] = 0.712 y2[1] (analytic) = 1.2429433074056697924476518052839 y2[1] (numeric) = 1.4806140155891454445087259188429 absolute error = 0.237670708183475652061074113559 relative error = 19.121604884743554696374811085652 % h = 0.001 y1[1] (analytic) = 1.2429433074056697924476518052839 y1[1] (numeric) = 1.2429433074056698193581853779731 absolute error = 2.69105335726892e-17 relative error = 2.1650652457237282755098587092708e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2178.2MB, alloc=4.3MB, time=150.14 NO POLE NO POLE x[1] = 0.713 y2[1] (analytic) = 1.2435970350151882805914835912195 y2[1] (numeric) = 1.4819210924250721403253507722023 absolute error = 0.2383240574098838597338671809828 relative error = 19.164090191560577654703718008575 % h = 0.001 y1[1] (analytic) = 1.2435970350151882805914835912195 y1[1] (numeric) = 1.2435970350151883075388123073538 absolute error = 2.69473287161343e-17 relative error = 2.1668858928893463701841884406098e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2182.0MB, alloc=4.3MB, time=150.40 NO POLE NO POLE x[1] = 0.714 y2[1] (analytic) = 1.2442515190276087199687205040045 y2[1] (numeric) = 1.4832296823938346646977630780048 absolute error = 0.2389781633662259447290425740003 relative error = 19.206579997024159055263800486903 % h = 0.001 y1[1] (analytic) = 1.2442515190276087199687205040045 y1[1] (numeric) = 1.2442515190276087469528125779526 absolute error = 2.69840920739481e-17 relative error = 2.1687007539308738012388711196054e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2185.8MB, alloc=4.3MB, time=150.66 NO POLE NO POLE x[1] = 0.715 y2[1] (analytic) = 1.2449067587884471526992557167609 y2[1] (numeric) = 1.4845397841868431579125988924099 absolute error = 0.239633025398396005213343175649 relative error = 19.249074174166160962085668765347 % h = 0.001 y1[1] (analytic) = 1.2449067587884471526992557167609 y1[1] (numeric) = 1.244906758788447179720079326128 absolute error = 2.70208236093671e-17 relative error = 2.1705098328539860833340718613391e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2189.6MB, alloc=4.3MB, time=150.93 NO POLE NO POLE x[1] = 0.716 y2[1] (analytic) = 1.2455627536424638725479680820458 y2[1] (numeric) = 1.4858513964939959361365107787845 absolute error = 0.2402886428515320635885426967387 relative error = 19.291572596309860849771876186873 % h = 0.001 y1[1] (analytic) = 1.2455627536424638725479680820458 y1[1] (numeric) = 1.2455627536424638996054913677056 absolute error = 2.70575232856598e-17 relative error = 2.1723131336846801902931730300340e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.717 y2[1] (analytic) = 1.2462195029336640801643737636656 y2[1] (numeric) = 1.4871645180036808015177424659142 absolute error = 0.2409450150700167213533687022486 relative error = 19.334075137070147259383349460045 % h = 0.001 y1[1] (analytic) = 1.2462195029336640801643737636656 y1[1] (numeric) = 1.2462195029336641072585648297921 absolute error = 2.70941910661265e-17 relative error = 2.1741106604691546305279273519374e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2193.4MB, alloc=4.3MB, time=151.18 NO POLE NO POLE x[1] = 0.718 y2[1] (analytic) = 1.2468770060052985390773709209283 y2[1] (numeric) = 1.4884791474027763537982173987464 absolute error = 0.2416021413974778147208464778181 relative error = 19.376581670353710810926935589833 % h = 0.001 y1[1] (analytic) = 1.2468770060052985390773709209283 y1[1] (numeric) = 1.2468770060052985662081978350278 absolute error = 2.71308269140995e-17 relative error = 2.1759024172737217803930930278113e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2197.3MB, alloc=4.3MB, time=151.45 NO POLE NO POLE x[1] = 0.719 y2[1] (analytic) = 1.2475352621998642324444214506442 y2[1] (numeric) = 1.4897952833766533034348295696872 absolute error = 0.242260021176789070990408119043 relative error = 19.419092070359230589532557237095 % h = 0.001 y1[1] (analytic) = 1.2475352621998642324444214506442 y1[1] (numeric) = 1.2475352621998642596118522435872 absolute error = 2.71674307929430e-17 relative error = 2.1776884081846962477242200219899e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2201.1MB, alloc=4.3MB, time=151.70 NO POLE NO POLE x[1] = 0.72 y2[1] (analytic) = 1.248194270859105020554513037748 y2[1] (numeric) = 1.4911129246091757862286235092704 absolute error = 0.2429186537500707656741104715224 relative error = 19.46160621157755592243655497642 % h = 0.001 y1[1] (analytic) = 1.248194270859105020554513037748 y1[1] (numeric) = 1.248194270859105047758515703801 absolute error = 2.72040026660530e-17 relative error = 2.1794686373082833904912499533394e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2204.9MB, alloc=4.3MB, time=151.97 NO POLE NO POLE x[1] = 0.721 y2[1] (analytic) = 1.2488540313240122990842440116342 y2[1] (numeric) = 1.4924320697827026794605488071278 absolute error = 0.2435780384586903803763047954936 relative error = 19.504123968791883563915174212008 % h = 0.001 y1[1] (analytic) = 1.2488540313240122990842440116342 y1[1] (numeric) = 1.2488540313240123263247865084918 absolute error = 2.72405424968576e-17 relative error = 2.1812431087705000212835975182852e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2208.7MB, alloc=4.3MB, time=152.23 NO POLE NO POLE x[1] = 0.722 y2[1] (analytic) = 1.249514542934825658106372752177 y2[1] (numeric) = 1.4937527175780889195324730276165 absolute error = 0.2442381746432632614261002754395 relative error = 19.546645217077930305338829791239 % h = 0.001 y1[1] (analytic) = 1.249514542934825658106372752177 y1[1] (numeric) = 1.2495145429348256853834230009941 absolute error = 2.72770502488171e-17 relative error = 2.1830118267170791618007527892290e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2212.5MB, alloc=4.3MB, time=152.49 NO POLE NO POLE x[1] = 0.723 y2[1] (analytic) = 1.2501758050310335418501726369398 y2[1] (numeric) = 1.4950748666746868211121353791996 absolute error = 0.2448990616436532792619627422598 relative error = 19.589169831804101027543756041101 % h = 0.001 y1[1] (analytic) = 1.2501758050310335418501726369398 y1[1] (numeric) = 1.2501758050310335691636985223635 absolute error = 2.73135258854237e-17 relative error = 2.1847747953133429101648955813052e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2216.3MB, alloc=4.3MB, time=152.75 NO POLE NO POLE x[1] = 0.724 y2[1] (analytic) = 1.2508378169513739092129327692739 y2[1] (numeric) = 1.4963985157503473977807219927368 absolute error = 0.2455606987989734885677892234629 relative error = 19.631697688631652212742927469292 % h = 0.001 y1[1] (analytic) = 1.2508378169513739092129327692739 y1[1] (numeric) = 1.2508378169513739365629021394758 absolute error = 2.73499693702019e-17 relative error = 2.1865320187441314819571700919404e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2220.1MB, alloc=4.3MB, time=153.01 NO POLE NO POLE x[1] = 0.725 y2[1] (analytic) = 1.2515005780338348950219439758613 y2[1] (numeric) = 1.4977236634814216841817421612201 absolute error = 0.2462230854475867891597981853588 relative error = 19.674228663514850933222719154615 % h = 0.001 y1[1] (analytic) = 1.2515005780338348950219439758613 y1[1] (numeric) = 1.2515005780338349224083246425692 absolute error = 2.73863806667079e-17 relative error = 2.1882835012136523819153873844740e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2224.0MB, alloc=4.3MB, time=153.28 NO POLE NO POLE x[1] = 0.726 y2[1] (analytic) = 1.2521640876156554720463088117698 y2[1] (numeric) = 1.4990503085427620596698833921872 absolute error = 0.2468862209271065876235745804174 relative error = 19.716762632701129334095669345895 % h = 0.001 y1[1] (analytic) = 1.2521640876156554720463088117698 y1[1] (numeric) = 1.2521640876156554994690685503005 absolute error = 2.74227597385307e-17 relative error = 2.1900292469454656306370869002117e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2227.8MB, alloc=4.3MB, time=153.54 NO POLE NO POLE x[1] = 0.727 y2[1] (analytic) = 1.2528283450333261137579135612673 y2[1] (numeric) = 1.5003784496077235734585216240698 absolute error = 0.2475501045743974597006080628025 relative error = 19.75929947273123462740291344933 % h = 0.001 y1[1] (analytic) = 1.2528283450333261137579135612673 y1[1] (numeric) = 1.2528283450333261412170201105584 absolute error = 2.74591065492911e-17 relative error = 2.1917692601823012300253045305637e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2231.6MB, alloc=4.3MB, time=153.80 NO POLE NO POLE x[1] = 0.728 y2[1] (analytic) = 1.2534933496225894578408994734763 y2[1] (numeric) = 1.5017080853481652712645614590751 absolute error = 0.2482147357255758134236619855988 relative error = 19.801839060439374614882381874684 % h = 0.001 y1[1] (analytic) = 1.2534933496225894578408994734763 y1[1] (numeric) = 1.2534933496225894853363205361186 absolute error = 2.74954210626423e-17 relative error = 2.1935035451860046662525645476106e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2235.4MB, alloc=4.3MB, time=154.06 NO POLE NO POLE x[1] = 0.729 y2[1] (analytic) = 1.2541591007184409704489697234547 y2[1] (numeric) = 1.5030392144344515234492797678723 absolute error = 0.2488801137160105530003100444176 relative error = 19.844381272953358756740697603328 % h = 0.001 y1[1] (analytic) = 1.2541591007184409704489697234547 y1[1] (numeric) = 1.2541591007184409979806729657245 absolute error = 2.75317032422698e-17 relative error = 2.1952321062374265874513428484084e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2239.2MB, alloc=4.3MB, time=154.33 NO POLE NO POLE x[1] = 0.73 y2[1] (analytic) = 1.2548255976551296112098678414497 y2[1] (numeric) = 1.50437183553545335465384452535 absolute error = 0.2495462378803237434439766839003 relative error = 19.886925987694734803787876317261 % h = 0.001 y1[1] (analytic) = 1.2548255976551296112098678414497 y1[1] (numeric) = 1.2548255976551296387778208933411 absolute error = 2.75679530518914e-17 relative error = 2.1969549476363206187524254902036e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.731 y2[1] (analytic) = 1.2554928397661584989763626059028 y2[1] (numeric) = 1.5057059473185497749281792420374 absolute error = 0.2502131075523912759518166361346 relative error = 19.92947308237892101031442597687 % h = 0.001 y1[1] (analytic) = 1.2554928397661584989763626059028 y1[1] (numeric) = 1.2554928397661585265805330611602 absolute error = 2.76041704552574e-17 relative error = 2.1986720737012572512743724603971e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2243.0MB, alloc=4.3MB, time=154.59 NO POLE NO POLE x[1] = 0.732 y2[1] (analytic) = 1.2561608263842855783230736492765 y2[1] (numeric) = 1.5070415484496291123518418624356 absolute error = 0.2508807220653435340287682131591 relative error = 19.972022435015333945110267353965 % h = 0.001 y1[1] (analytic) = 1.2561608263842855783230736492765 y1[1] (numeric) = 1.2561608263842856059634290654267 absolute error = 2.76403554161502e-17 relative error = 2.2003834887694900608894438486982e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2246.8MB, alloc=4.3MB, time=154.85 NO POLE NO POLE x[1] = 0.733 y2[1] (analytic) = 1.2568295568415242867884712799312 y2[1] (numeric) = 1.5083786375930903471455855094903 absolute error = 0.2515490807515660603571142295591 relative error = 20.014573923907511918044055720775 % h = 0.001 y1[1] (analytic) = 1.2568295568415242867884712799312 y1[1] (numeric) = 1.2568295568415243144649791783162 absolute error = 2.76765078983850e-17 relative error = 2.2020891971969096968660667605288e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2250.7MB, alloc=4.3MB, time=155.11 NO POLE NO POLE x[1] = 0.734 y2[1] (analytic) = 1.2574990304691442228613832781104 y2[1] (numeric) = 1.5097172134118444472722669637576 absolute error = 0.2522181829427002244108836856472 relative error = 20.0571274276532340396399801774 % h = 0.001 y1[1] (analytic) = 1.2574990304691442228613832781104 y1[1] (numeric) = 1.2574990304691442505740111439197 absolute error = 2.77126278658093e-17 relative error = 2.2037892033579024127281831118200e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2254.5MB, alloc=4.3MB, time=155.38 NO POLE NO POLE x[1] = 0.735 y2[1] (analytic) = 1.2581692465976718147113406795812 y2[1] (numeric) = 1.511057274567315705525767276465 absolute error = 0.2528880279696438908144265968838 relative error = 20.099682825144634931106954490392 % h = 0.001 y1[1] (analytic) = 1.2581692465976718147113406795812 y1[1] (numeric) = 1.2581692465976718424600559618844 absolute error = 2.77487152823032e-17 relative error = 2.2054835116452724574695491689367e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2258.3MB, alloc=4.3MB, time=155.64 NO POLE NO POLE x[1] = 0.736 y2[1] (analytic) = 1.2588402045568909896620938166407 y2[1] (numeric) = 1.5123988197194430781065874276584 absolute error = 0.2535586151625520884444936110177 relative error = 20.142239995568315102292295339681 % h = 0.001 y1[1] (analytic) = 1.2588402045568909896620938166407 y1[1] (numeric) = 1.2588402045568910174468639284199 absolute error = 2.77847701117792e-17 relative error = 2.2071721264701248214467291450071e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2262.1MB, alloc=4.3MB, time=155.90 NO POLE NO POLE x[1] = 0.737 y2[1] (analytic) = 1.2595119036758438444076291430284 y2[1] (numeric) = 1.5137418475266815246827804539511 absolute error = 0.2542299438508376802751513109227 relative error = 20.184798818405447015048514064368 % h = 0.001 y1[1] (analytic) = 1.2595119036758438444076291430284 y1[1] (numeric) = 1.2595119036758438722284214612108 absolute error = 2.78207923181824e-17 relative error = 2.2088550522617799426546460015843e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2265.9MB, alloc=4.3MB, time=156.16 NO POLE NO POLE x[1] = 0.738 y2[1] (analytic) = 1.2601843432828313159700166267826 y2[1] (numeric) = 1.5150863566460033499348799850545 absolute error = 0.2549020133631720339648633582719 relative error = 20.227359173431876849517729899927 % h = 0.001 y1[1] (analytic) = 1.2601843432828313159700166267826 y1[1] (numeric) = 1.2601843432828313438267984922733 absolute error = 2.78567818654907e-17 relative error = 2.2105322934676885145559332415180e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2269.7MB, alloc=4.3MB, time=156.42 NO POLE NO POLE x[1] = 0.739 y2[1] (analytic) = 1.2608575227054138533984167532507 y2[1] (numeric) = 1.5164323457328995465834836442737 absolute error = 0.255574823027485693185066891023 relative error = 20.269920940718221990853449855989 % h = 0.001 y1[1] (analytic) = 1.2608575227054138533984167532507 y1[1] (numeric) = 1.2608575227054138812911554709652 absolute error = 2.78927387177145e-17 relative error = 2.2122038545533067410742077649501e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2273.5MB, alloc=4.3MB, time=156.69 NO POLE NO POLE x[1] = 0.74 y2[1] (analytic) = 1.2615314412704120902085754393012 y2[1] (numeric) = 1.5177798134413811398981482854963 absolute error = 0.2562483721709690496895728461951 relative error = 20.312484000629964253914056348322 % h = 0.001 y1[1] (analytic) = 1.2615314412704120902085754393012 y1[1] (numeric) = 1.2615314412704121181372382781982 absolute error = 2.79286628388970e-17 relative error = 2.2138697400020193838011037575315e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2277.4MB, alloc=4.3MB, time=156.95 NO POLE NO POLE x[1] = 0.741 y2[1] (analytic) = 1.2622060983039075175621344192991 y2[1] (numeric) = 1.5191287584239805336862525578912 absolute error = 0.2569226601200730161241181385921 relative error = 20.355048233827538863476302028024 % h = 0.001 y1[1] (analytic) = 1.2622060983039075175621344192991 y1[1] (numeric) = 1.2622060983039075455266886124133 absolute error = 2.79645541931142e-17 relative error = 2.2155299543150391208928919155823e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2281.2MB, alloc=4.3MB, time=157.21 NO POLE NO POLE x[1] = 0.742 y2[1] (analytic) = 1.2628814931312431581850839235906 y2[1] (numeric) = 1.5204791793317528577604808095677 absolute error = 0.2575976862005096995753968859771 relative error = 20.397613521266419207530435509487 % h = 0.001 y1[1] (analytic) = 1.2628814931312431581850839235906 y1[1] (numeric) = 1.2628814931312431861854966680651 absolute error = 2.80004127444745e-17 relative error = 2.2171845020112743893674414552359e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2285.0MB, alloc=4.3MB, time=157.48 NO POLE NO POLE x[1] = 0.743 y2[1] (analytic) = 1.2635576250770242410246837310994 y2[1] (numeric) = 1.5218310748142773168835808628221 absolute error = 0.2582734497372530758588971317227 relative error = 20.440179744197197381231275454671 % h = 0.001 y1[1] (analytic) = 1.2635576250770242410246837310994 y1[1] (numeric) = 1.2635576250770242690609221882189 absolute error = 2.80362384571195e-17 relative error = 2.2188333876272924571665498207153e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2288.8MB, alloc=4.3MB, time=157.74 NO POLE NO POLE x[1] = 0.744 y2[1] (analytic) = 1.2642344934651188766441779391716 y2[1] (numeric) = 1.5231844435196585411890467163275 absolute error = 0.2589499500545396645448687771559 relative error = 20.482746784165660539091617298447 % h = 0.001 y1[1] (analytic) = 1.2642344934651188766441779391716 y1[1] (numeric) = 1.2642344934651189047162092343951 absolute error = 2.80720312952235e-17 relative error = 2.2204766157171796220584209530871e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.745 y2[1] (analytic) = 1.2649120976186587333546280560096 y2[1] (numeric) = 1.5245392840945279380763757536959 absolute error = 0.2596271864758692047217476976863 relative error = 20.525314523012863073015800376913 % h = 0.001 y1[1] (analytic) = 1.2649120976186587333546280560096 y1[1] (numeric) = 1.2649120976186587614624192790031 absolute error = 2.81077912229935e-17 relative error = 2.2221141908524412264498127296780e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2292.6MB, alloc=4.3MB, time=158.00 NO POLE NO POLE x[1] = 0.746 y2[1] (analytic) = 1.2655904368600397140831882839174 y2[1] (numeric) = 1.5258955951840450455795485632686 absolute error = 0.2603051583240053314963602793512 relative error = 20.567882842875194633782086930274 % h = 0.001 y1[1] (analytic) = 1.2655904368600397140831882839174 y1[1] (numeric) = 1.2655904368600397422267064885872 absolute error = 2.81435182046698e-17 relative error = 2.2237461176219492423588596003630e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2296.4MB, alloc=4.3MB, time=158.26 NO POLE NO POLE x[1] = 0.747 y2[1] (analytic) = 1.266269510510922633977146125141 y2[1] (numeric) = 1.5272533754318988872073780007678 absolute error = 0.2609838649209762532302318756268 relative error = 20.610451626184444013592711980945 % h = 0.001 y1[1] (analytic) = 1.266269510510922633977146125141 y1[1] (numeric) = 1.2662695105109226621563583296663 absolute error = 2.81792122045253e-17 relative error = 2.2253724006317872026225778749638e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2300.2MB, alloc=4.3MB, time=158.52 NO POLE NO POLE x[1] = 0.748 y2[1] (analytic) = 1.2669493178922338987430507063167 y2[1] (numeric) = 1.5286126234803093282543726545724 absolute error = 0.2616633055880754295113219482557 relative error = 20.653020755667858907320058028261 % h = 0.001 y1[1] (analytic) = 1.2669493178922338987430507063167 y1[1] (numeric) = 1.2669493178922339269579238931828 absolute error = 2.82148731868661e-17 relative error = 2.2269930445051980823850674044047e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2304.1MB, alloc=4.3MB, time=158.78 NO POLE NO POLE x[1] = 0.749 y2[1] (analytic) = 1.2676298583241661837202504824584 y2[1] (numeric) = 1.529973337970028433580758402869 absolute error = 0.2623434796458622498605079204106 relative error = 20.695590114348201570086394446974 % h = 0.001 y1[1] (analytic) = 1.2676298583241661837202504824584 y1[1] (numeric) = 1.2676298583241662119707515984894 absolute error = 2.82505011160310e-17 relative error = 2.2286080538824454166215397811878e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2307.9MB, alloc=4.3MB, time=159.05 NO POLE NO POLE x[1] = 0.75 y2[1] (analytic) = 1.2683111311261791136881612469999 y2[1] (numeric) = 1.5313355175403418268603002827681 absolute error = 0.2630243864141627131721390357682 relative error = 20.738159585543800388823002027441 % h = 0.001 y1[1] (analytic) = 1.2683111311261791136881612469999 y1[1] (numeric) = 1.2683111311261791419742572033922 absolute error = 2.82860959563923e-17 relative error = 2.2302174334207772090577675186600e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2311.7MB, alloc=4.3MB, time=159.30 NO POLE NO POLE x[1] = 0.751 y2[1] (analytic) = 1.2689931356169999434065846406836 y2[1] (numeric) = 1.5326991608290700512945654236786 absolute error = 0.263706025212070107887980782995 relative error = 20.780729052868597385462281851569 % h = 0.001 y1[1] (analytic) = 1.2689931356169999434065846406836 y1[1] (numeric) = 1.2689931356169999717282423130386 absolute error = 2.83216576723550e-17 relative error = 2.2318211877942637202976852771863e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2315.5MB, alloc=4.3MB, time=159.56 NO POLE NO POLE x[1] = 0.752 y2[1] (analytic) = 1.2696758711146242388883966190315 y2[1] (numeric) = 1.5340642664725699317922663307894 absolute error = 0.2643883953579456929038697117579 relative error = 20.823298400232191669423628266117 % h = 0.001 y1[1] (analytic) = 1.2696758711146242388883966190315 y1[1] (numeric) = 1.2696758711146242672455828473891 absolute error = 2.83571862283576e-17 relative error = 2.2334193216937616436220465340905e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2319.3MB, alloc=4.3MB, time=159.83 NO POLE NO POLE x[1] = 0.753 y2[1] (analytic) = 1.270359336936316559403924605769 y2[1] (numeric) = 1.5354308331057359386123223394295 absolute error = 0.2650714961694193792083977336605 relative error = 20.86586751183987885706043170047 % h = 0.001 y1[1] (analytic) = 1.270359336936316559403924605769 y1[1] (numeric) = 1.2703593369363165877966061946403 absolute error = 2.83926815888713e-17 relative error = 2.2350118398267522976714518011051e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2323.1MB, alloc=4.3MB, time=160.09 NO POLE NO POLE x[1] = 0.754 y2[1] (analytic) = 1.2710435323986111402163313278786 y2[1] (numeric) = 1.5367988593620015524692755973585 absolute error = 0.2657553269633904122529442694799 relative error = 20.908436272192686475741572090863 % h = 0.001 y1[1] (analytic) = 1.2710435323986111402163313278786 y1[1] (numeric) = 1.2710435323986111686444750462795 absolute error = 2.84281437184009e-17 relative error = 2.2365987469173139408138474579501e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2327.0MB, alloc=4.3MB, time=160.35 NO POLE NO POLE x[1] = 0.755 y2[1] (analytic) = 1.2717284568173125760473225969591 y2[1] (numeric) = 1.5381683438733406310996964696848 absolute error = 0.2664398870560280550523738727257 relative error = 20.95100456608740537024617132833 % h = 0.001 y1[1] (analytic) = 1.2717284568173125760473225969591 y1[1] (numeric) = 1.2717284568173126045108951784433 absolute error = 2.84635725814842e-17 relative error = 2.2381800477059760779243814521028e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2330.8MB, alloc=4.3MB, time=160.62 NO POLE NO POLE x[1] = 0.756 y2[1] (analytic) = 1.2724141095074965052724955712377 y2[1] (numeric) = 1.5395392852702687772882118001205 absolute error = 0.2671251757627722720157162288828 relative error = 20.993572278616617129155197060086 % h = 0.001 y1[1] (analytic) = 1.2724141095074965052724955712377 y1[1] (numeric) = 1.2724141095074965337714637139301 absolute error = 2.84989681426924e-17 relative error = 2.2397557469496526824185531968278e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2334.6MB, alloc=4.3MB, time=160.88 NO POLE NO POLE x[1] = 0.757 y2[1] (analytic) = 1.2731004897835102948456433029448 y2[1] (numeric) = 1.5409116821818447083517880026586 absolute error = 0.2678111923983344135061446997138 relative error = 21.036139295168717548927753958504 % h = 0.001 y1[1] (analytic) = 1.2731004897835102948456433029448 y1[1] (numeric) = 1.2731004897835103233799736695747 absolute error = 2.85343303666299e-17 relative error = 2.2413258494215283604958040276569e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2338.4MB, alloc=4.3MB, time=161.14 NO POLE NO POLE x[1] = 0.758 y2[1] (analytic) = 1.2737875969589737259513306468032 y2[1] (numeric) = 1.5422855332356716270808994995036 absolute error = 0.2684979362766979011295688527004 relative error = 21.078705501427936153353565847998 % h = 0.001 y1[1] (analytic) = 1.2737875969589737259513306468032 y1[1] (numeric) = 1.2737875969589737545209898647377 absolute error = 2.85696592179345e-17 relative error = 2.2428903599109761425686313586712e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2342.2MB, alloc=4.3MB, time=161.40 x[1] = 0.759 y2[1] (analytic) = 1.274475430346779680385055877114 y2[1] (numeric) = 1.5436608370578985941362115642011 absolute error = 0.2691854067111189137511556870871 relative error = 21.121270783374351786076246467045 % h = 0.001 y1[1] (analytic) = 1.274475430346779680385055877114 y1[1] (numeric) = 1.2744754303467797089900105383913 absolute error = 2.86049546612773e-17 relative error = 2.2444492832234518596590784086144e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.76 y2[1] (analytic) = 1.275163989259094827660311633333 y2[1] (numeric) = 1.5450375922732219018994051733979 absolute error = 0.2698736030141270742390935400649 relative error = 21.163835027283904293884481762232 % h = 0.001 y1[1] (analytic) = 1.275163989259094827660311633333 y1[1] (numeric) = 1.275163989259094856300528294696 absolute error = 2.86402166613630e-17 relative error = 2.2460026241804200896104245136837e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2346.0MB, alloc=4.3MB, time=161.66 NO POLE NO POLE x[1] = 0.761 y2[1] (analytic) = 1.2758532730073603128418580871366 y2[1] (numeric) = 1.5464157975048864497767700165227 absolute error = 0.2705625244975261369349119293861 relative error = 21.206398119728402318470206084703 % h = 0.001 y1[1] (analytic) = 1.2758532730073603128418580871366 y1[1] (numeric) = 1.275853273007360341517303270066 absolute error = 2.86754451829294e-17 relative error = 2.2475503876192175007409987276291e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2349.8MB, alloc=4.3MB, time=161.92 NO POLE NO POLE x[1] = 0.762 y2[1] (analytic) = 1.2765432809022924451045204977583 y2[1] (numeric) = 1.5477954513746871209541903599085 absolute error = 0.2712521704723946758496698621502 relative error = 21.248959947575527214354252111256 % h = 0.001 y1[1] (analytic) = 1.2765432809022924451045204977583 y1[1] (numeric) = 1.2765432809022924738151606885065 absolute error = 2.87106401907482e-17 relative error = 2.2490925783930183379096500646336e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2353.7MB, alloc=4.3MB, time=162.19 NO POLE NO POLE x[1] = 0.763 y2[1] (analytic) = 1.2772340122538833870168225968583 y2[1] (numeric) = 1.5491765525029701606021470104859 absolute error = 0.2719425402490867735853244136276 relative error = 21.291520397988833110680793364503 % h = 0.001 y1[1] (analytic) = 1.2772340122538833870168225968583 y1[1] (numeric) = 1.2772340122538834157626242464824 absolute error = 2.87458016496241e-17 relative error = 2.2506292013706667838383939361760e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2357.5MB, alloc=4.3MB, time=162.45 NO POLE NO POLE x[1] = 0.764 y2[1] (analytic) = 1.277925466371401844548766519348 y2[1] (numeric) = 1.5505590995086345555293571741595 absolute error = 0.2726336331372327109805906548115 relative error = 21.334079358427743134582182484803 % h = 0.001 y1[1] (analytic) = 1.277925466371401844548766519348 y1[1] (numeric) = 1.2779254663714018733296960437439 absolute error = 2.87809295243959e-17 relative error = 2.2521602614366662325226641381807e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2361.3MB, alloc=4.3MB, time=162.71 NO POLE NO POLE x[1] = 0.765 y2[1] (analytic) = 1.2786176425633937578030692724491 y2[1] (numeric) = 1.5519430910091334152836725553437 absolute error = 0.2733254484457396574806032828946 relative error = 21.376636716647541813815521533929 % h = 0.001 y1[1] (analytic) = 1.2786176425633937578030692724491 y1[1] (numeric) = 1.2786176425633937866190930523848 absolute error = 2.88160237799357e-17 relative error = 2.2536857634910198656554397015829e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2365.1MB, alloc=4.3MB, time=162.98 NO POLE NO POLE x[1] = 0.766 y2[1] (analytic) = 1.2793105401376829924691650118068 y2[1] (numeric) = 1.5533285256204753546988545968741 absolute error = 0.2740179854827923622296895850673 relative error = 21.419192360699363676371486211996 % h = 0.001 y1[1] (analytic) = 1.2793105401376829924691650118068 y1[1] (numeric) = 1.279310540137683021320249392956 absolute error = 2.88510843811492e-17 relative error = 2.2552057124491575977138785391069e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2368.9MB, alloc=4.3MB, time=163.24 NO POLE NO POLE x[1] = 0.767 y2[1] (analytic) = 1.2800041584013720319992816707128 y2[1] (numeric) = 1.5547154019572258778858443136342 absolute error = 0.2747112435558538458865626429214 relative error = 21.461746178930178064754567568368 % h = 0.001 y1[1] (analytic) = 1.2800041584013720319992816707128 y1[1] (numeric) = 1.2800041584013720608853929636885 absolute error = 2.88861112929757e-17 relative error = 2.2567201132418396897851903418919e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2372.7MB, alloc=4.3MB, time=163.51 NO POLE NO POLE x[1] = 0.768 y2[1] (analytic) = 1.2806984966608426705058997664195 y2[1] (numeric) = 1.5561037186325087636671427287437 absolute error = 0.2754052219716660931612429623242 relative error = 21.504298059982770182631996208241 % h = 0.001 y1[1] (analytic) = 1.2806984966608426705058997664195 y1[1] (numeric) = 1.280698496660842699427004246808 absolute error = 2.89211044803885e-17 relative error = 2.2582289708150917796601872195665e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2376.5MB, alloc=4.3MB, time=163.77 NO POLE NO POLE x[1] = 0.769 y2[1] (analytic) = 1.2813935542217567063799004861449 y2[1] (numeric) = 1.5574934742580074524529164780428 absolute error = 0.2760999200362507460730159918979 relative error = 21.546847892795718391546178762043 % h = 0.001 y1[1] (analytic) = 1.2813935542217567063799004861449 y1[1] (numeric) = 1.2813935542217567353359643945391 absolute error = 2.89560639083942e-17 relative error = 2.2597322901300541504366343054195e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2380.4MB, alloc=4.3MB, time=164.03 NO POLE NO POLE x[1] = 0.77 y2[1] (analytic) = 1.2820893303890566366287094346757 y2[1] (numeric) = 1.5588846674439664345574417068829 absolute error = 0.2767953370549097979287322722072 relative error = 21.589395566603367775382508117503 % h = 0.001 y1[1] (analytic) = 1.2820893303890566366287094346757 y1[1] (numeric) = 1.2820893303890566656196989767093 absolute error = 2.89909895420336e-17 relative error = 2.2612300761629561583859057670707e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2384.2MB, alloc=4.3MB, time=164.30 NO POLE NO POLE x[1] = 0.771 y2[1] (analytic) = 1.2827858244669663519337417054856 y2[1] (numeric) = 1.5602772967991926399544979428952 absolute error = 0.2774914723322262880207562374096 relative error = 21.631940970935799990280911234226 % h = 0.001 y1[1] (analytic) = 1.2827858244669663519337417054856 y1[1] (numeric) = 1.2827858244669663809596230518666 absolute error = 2.90258813463810e-17 relative error = 2.2627223339049658895337124388772e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2388.0MB, alloc=4.3MB, time=164.56 NO POLE NO POLE x[1] = 0.772 y2[1] (analytic) = 1.2834830357589918324264532179796 y2[1] (numeric) = 1.5616713609310568294703221894591 absolute error = 0.2781883251720649970438689714795 relative error = 21.674483995618799417675474889552 % h = 0.001 y1[1] (analytic) = 1.2834830357589918324264532179796 y1[1] (numeric) = 1.2834830357589918614871925045241 absolute error = 2.90607392865445e-17 relative error = 2.2642090683621180939156266332083e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2391.8MB, alloc=4.3MB, time=164.82 x[1] = 0.773 y2[1] (analytic) = 1.2841809635679218441823025448716 y2[1] (numeric) = 1.5630668584454949874127320470326 absolute error = 0.278885894877573143230429502161 relative error = 21.717024530773815638141944059461 % h = 0.001 y1[1] (analytic) = 1.2841809635679218441823025448716 y1[1] (numeric) = 1.2841809635679218732778658725378 absolute error = 2.90955633276662e-17 relative error = 2.2656902845552344442046252556305e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.774 y2[1] (analytic) = 1.2848796071958286364319267357915 y2[1] (numeric) = 1.564463787947009715635025233337 absolute error = 0.2795841807511810792030984975455 relative error = 21.759562466817922243727823436973 % h = 0.001 y1[1] (analytic) = 1.2848796071958286364319267357915 y1[1] (numeric) = 1.2848796071958286655622801707136 absolute error = 2.91303534349221e-17 relative error = 2.2671659875198205835475999641048e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2395.6MB, alloc=4.3MB, time=165.08 NO POLE NO POLE x[1] = 0.775 y2[1] (analytic) = 1.2855789659440686394888339260045 y2[1] (numeric) = 1.5658621480386716290332614386135 absolute error = 0.280283182094602989544427512609 relative error = 21.802097694463772006434233448165 % h = 0.001 y1[1] (analytic) = 1.2855789659440686394888339260045 y1[1] (numeric) = 1.2855789659440686686539434995265 absolute error = 2.91651095735220e-17 relative error = 2.2686361823059633881573870733689e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2399.4MB, alloc=4.3MB, time=165.34 NO POLE NO POLE x[1] = 0.776 y2[1] (analytic) = 1.2862790391132831633929148026071 y2[1] (numeric) = 1.5672619373221207524755310187852 absolute error = 0.2809828982088375890826162161781 relative error = 21.84463010471954842051258165545 % h = 0.001 y1[1] (analytic) = 1.2862790391132831633929148026071 y1[1] (numeric) = 1.286279039113283192592746511317 absolute error = 2.91998317087099e-17 relative error = 2.2701008739782673172945339803831e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2403.2MB, alloc=4.3MB, time=165.61 NO POLE NO POLE x[1] = 0.777 y2[1] (analytic) = 1.2869798260033990972690742847478 y2[1] (numeric) = 1.5686631543975679191618135973726 absolute error = 0.2816833283941688218927393126248 relative error = 21.887159588888913636232512250168 % h = 0.001 y1[1] (analytic) = 1.2869798260033990972690742847478 y1[1] (numeric) = 1.2869798260033991265035940905114 absolute error = 2.92345198057636e-17 relative error = 2.2715600676157286915992645707534e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2407.1MB, alloc=4.3MB, time=165.87 NO POLE NO POLE x[1] = 0.778 y2[1] (analytic) = 1.2876813259136296094002840592981 y2[1] (numeric) = 1.5700657978637961704130282164207 absolute error = 0.2823844719501665610127441571226 relative error = 21.929686038570952802770494041028 % h = 0.001 y1[1] (analytic) = 1.2876813259136296094002840592981 y1[1] (numeric) = 1.287681325913629638669457889293 absolute error = 2.92691738299949e-17 relative error = 2.2730137683116568602064281507283e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2410.9MB, alloc=4.3MB, time=166.13 NO POLE NO POLE x[1] = 0.779 y2[1] (analytic) = 1.28838353814247484801435589898 y2[1] (numeric) = 1.5714698663181621568878752475041 absolute error = 0.2830863281756873088735193485241 relative error = 21.972209345660114837860804546767 % h = 0.001 y1[1] (analytic) = 1.28838353814247484801435589898 y1[1] (numeric) = 1.28838353814247487731814964573 absolute error = 2.93037937467500e-17 relative error = 2.2744619811736110329887333285907e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2414.7MB, alloc=4.3MB, time=166.39 NO POLE NO POLE x[1] = 0.78 y2[1] (analytic) = 1.2890864619877226427837349762354 y2[1] (numeric) = 1.5728753583565975412260688460846 absolute error = 0.2837888963688748984423338698492 relative error = 22.01472940234614964184256810465 % h = 0.001 y1[1] (analytic) = 1.2890864619877226427837349762354 y1[1] (numeric) = 1.2890864619877226721221144976442 absolute error = 2.93383795214088e-17 relative error = 2.2759047113232518728686300423846e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2418.5MB, alloc=4.3MB, time=166.66 NO POLE NO POLE x[1] = 0.781 y2[1] (analytic) = 1.289790096746449207037611673102 y2[1] (numeric) = 1.5742822725736104021165573061061 absolute error = 0.2844921758271611950789456330041 relative error = 22.057246101114041773727912911467 % h = 0.001 y1[1] (analytic) = 1.289790096746449207037611673102 y1[1] (numeric) = 1.2897900967464492364105427924876 absolute error = 2.93729311193856e-17 relative error = 2.2773419638963020048621369602691e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2422.3MB, alloc=4.3MB, time=166.92 NO POLE NO POLE x[1] = 0.782 y2[1] (analytic) = 1.2904944417150198406856496750424 y2[1] (numeric) = 1.5756906075622866397893272467236 absolute error = 0.2851961658472667991036775716812 relative error = 22.099759334743940606907229217594 % h = 0.001 y1[1] (analytic) = 1.2904944417150198406856496750424 y1[1] (numeric) = 1.2904944417150198700930981811712 absolute error = 2.94074485061288e-17 relative error = 2.2787737440424290526456757890584e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2426.1MB, alloc=4.3MB, time=167.18 NO POLE NO POLE x[1] = 0.783 y2[1] (analytic) = 1.2911994961890896338526274250576 y2[1] (numeric) = 1.5771003619142913829293861394787 absolute error = 0.2859008657252017490767587144211 relative error = 22.142268996311086982097942091806 % h = 0.001 y1[1] (analytic) = 1.2911994961890896338526274250576 y1[1] (numeric) = 1.2911994961890896632945590721787 absolute error = 2.94419316471211e-17 relative error = 2.2802000569251676707015070222203e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2429.9MB, alloc=4.3MB, time=167.44 NO POLE NO POLE x[1] = 0.784 y2[1] (analytic) = 1.2919052594636041712232893035015 y2[1] (numeric) = 1.5785115342198703970115162620568 absolute error = 0.2866062747562662257882269585553 relative error = 22.184774979185736375133160855778 % h = 0.001 y1[1] (analytic) = 1.2919052594636041712232893035015 y1[1] (numeric) = 1.2919052594636042006996698113807 absolute error = 2.94763805078792e-17 relative error = 2.2816209077218030196360586756592e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2433.8MB, alloc=4.3MB, time=167.70 NO POLE NO POLE x[1] = 0.785 y2[1] (analytic) = 1.2926117308328002370967021888034 y2[1] (numeric) = 1.5799241230678514940543917439894 absolute error = 0.287312392235051256957689555186 relative error = 22.227277177033078597176037039269 % h = 0.001 y1[1] (analytic) = 1.2926117308328002370967021888034 y1[1] (numeric) = 1.2926117308328002666074972427577 absolute error = 2.95107950539543e-17 relative error = 2.2830363016233164050799105819958e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2437.6MB, alloc=4.3MB, time=167.97 NO POLE NO POLE x[1] = 0.786 y2[1] (analytic) = 1.293318909590206521149412344802 y2[1] (numeric) = 1.5813381270456459437926489503012 absolute error = 0.2880192174554394226432366054992 relative error = 22.269775483813154044934657113075 % h = 0.001 y1[1] (analytic) = 1.293318909590206521149412344802 y1[1] (numeric) = 1.293318909590206550694587595734 absolute error = 2.95451752509320e-17 relative error = 2.2844462438342845953655848996637e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2441.4MB, alloc=4.3MB, time=168.23 NO POLE NO POLE x[1] = 0.787 y2[1] (analytic) = 1.2940267950286443249066968715924 y2[1] (numeric) = 1.5827535447392498862654990311504 absolute error = 0.288726749710605561358802159558 relative error = 22.312269793780766518440818897054 % h = 0.001 y1[1] (analytic) = 1.2940267950286443249066968715924 y1[1] (numeric) = 1.2940267950286443544862179360242 absolute error = 2.95795210644318e-17 relative error = 2.2858507395727484520345383244337e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.788 y2[1] (analytic) = 1.2947353864402282689212032486917 y2[1] (numeric) = 1.5841703747332457458204700489664 absolute error = 0.2894349882930174768992668002747 relative error = 22.354760001485392623944094989182 % h = 0.001 y1[1] (analytic) = 1.2947353864402282689212032486917 y1[1] (numeric) = 1.2947353864402282985350357087999 absolute error = 2.96138324601082e-17 relative error = 2.2872497940702054640268361656568e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2445.2MB, alloc=4.3MB, time=168.49 NO POLE NO POLE x[1] = 0.789 y2[1] (analytic) = 1.2954446831163670006582697919461 y2[1] (numeric) = 1.585588615610803646530864679461 absolute error = 0.2901439324944366458725948875149 relative error = 22.397246001771087779460176389567 % h = 0.001 y1[1] (analytic) = 1.2954446831163670006582697919461 y1[1] (numeric) = 1.2954446831163670303063791955959 absolute error = 2.96481094036498e-17 relative error = 2.2886434125714478157325946653289e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2449.0MB, alloc=4.3MB, time=168.75 NO POLE NO POLE x[1] = 0.79 y2[1] (analytic) = 1.296154684347763903087219138915 y2[1] (numeric) = 1.5870082659536828290255180691734 absolute error = 0.2908535816059189259382989302584 relative error = 22.439727689776388840499618268426 % h = 0.001 y1[1] (analytic) = 1.296154684347763903087219138915 y1[1] (numeric) = 1.2961546843477639327695709996945 absolute error = 2.96823518607795e-17 relative error = 2.2900316003344857506795913762840e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2452.8MB, alloc=4.3MB, time=169.01 NO POLE NO POLE x[1] = 0.791 y2[1] (analytic) = 1.2968653894244178039779161714986 y2[1] (numeric) = 1.5884293243422330687294390199089 absolute error = 0.2915639349178152647515228484103 relative error = 22.482204960934213363489781109056 % h = 0.001 y1[1] (analytic) = 1.2968653894244178039779161714986 y1[1] (numeric) = 1.2968653894244178336944759687534 absolute error = 2.97165597972548e-17 relative error = 2.2914143626304787969084397604797e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2456.7MB, alloc=4.3MB, time=169.28 NO POLE NO POLE x[1] = 0.792 y2[1] (analytic) = 1.2975767976356236859018810793109 y2[1] (numeric) = 1.5898517893553960955139162595489 absolute error = 0.292274991719772409612035180238 relative error = 22.524677710971755524388977804269 % h = 0.001 y1[1] (analytic) = 1.2975767976356236859018810793109 y1[1] (numeric) = 1.2975767976356237156526142581788 absolute error = 2.97507331788679e-17 relative error = 2.2927917047436517051295443791137e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2460.5MB, alloc=4.3MB, time=169.54 NO POLE NO POLE x[1] = 0.793 y2[1] (analytic) = 1.2982889082699733969372475627432 y2[1] (numeric) = 1.5912756595707070147546701492434 absolute error = 0.2929867513007336178174225865002 relative error = 22.567145835910378709977604249288 % h = 0.001 y1[1] (analytic) = 1.2982889082699733969372475627432 y1[1] (numeric) = 1.2982889082699734267221195341886 absolute error = 2.97848719714454e-17 relative error = 2.2941636319711797546581574545112e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2464.3MB, alloc=4.3MB, time=169.80 NO POLE NO POLE x[1] = 0.794 y2[1] (analytic) = 1.2990017206153563620768554708199 y2[1] (numeric) = 1.5927009335642957297966287689535 absolute error = 0.2936992129489393677197732981336 relative error = 22.609609232065504799296351102435 % h = 0.001 y1[1] (analytic) = 1.2990017206153563620768554708199 y1[1] (numeric) = 1.2990017206153563918958316116684 absolute error = 2.98189761408485e-17 relative error = 2.2955301496231128301278781734842e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2468.1MB, alloc=4.3MB, time=170.06 NO POLE NO POLE x[1] = 0.795 y2[1] (analytic) = 1.2997152339589602953387664658126 y2[1] (numeric) = 1.5941276099108883658239059166858 absolute error = 0.2944123759519280704851394508732 relative error = 22.652067796046500152686471219168 % h = 0.001 y1[1] (analytic) = 1.2997152339589602953387664658126 y1[1] (numeric) = 1.2997152339589603251918121187856 absolute error = 2.98530456529730e-17 relative error = 2.2968912630222842637492715724224e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2471.9MB, alloc=4.3MB, time=170.32 NO POLE NO POLE x[1] = 0.796 y2[1] (analytic) = 1.3004294475872719125784906041565 y2[1] (numeric) = 1.5955556871838086951335571515597 absolute error = 0.2951262395965367825550665474032 relative error = 22.694521424756558325871514341136 % h = 0.001 y1[1] (analytic) = 1.3004294475872719125784906041565 y1[1] (numeric) = 1.300429447587271942465571077906 absolute error = 2.98870804737495e-17 relative error = 2.2982469775042352620175268047893e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2475.7MB, alloc=4.3MB, time=170.59 NO POLE NO POLE x[1] = 0.797 y2[1] (analytic) = 1.3011443607860776450022110215024 y2[1] (numeric) = 1.5969851639549795638116886070702 absolute error = 0.2958408031689019188094775855678 relative error = 22.736970015392579526503941470804 % h = 0.001 y1[1] (analytic) = 1.3011443607860776450022110215024 y1[1] (numeric) = 1.3011443607860776749232915906454 absolute error = 2.99210805691430e-17 relative error = 2.2995972984170933740256496625226e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2479.5MB, alloc=4.3MB, time=170.84 NO POLE NO POLE x[1] = 0.798 y2[1] (analytic) = 1.3018599728404643533802932087375 y2[1] (numeric) = 1.5984160387949243198104918985561 absolute error = 0.2965560659544599664301986898186 relative error = 22.77941346544504683058359950897 % h = 0.001 y1[1] (analytic) = 1.3018599728404643533802932087375 y1[1] (numeric) = 1.301859972840464383335339113891 absolute error = 2.99550459051535e-17 relative error = 2.3009422311215280805599849360819e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2483.4MB, alloc=4.3MB, time=171.11 NO POLE NO POLE x[1] = 0.799 y2[1] (analytic) = 1.3025762830348200429603646655274 y2[1] (numeric) = 1.5998483102727682424247770479583 absolute error = 0.2972720272379481994644123824309 relative error = 22.821851672697899176138175695694 % h = 0.001 y1[1] (analytic) = 1.3025762830348200429603646655274 y1[1] (numeric) = 1.3025762830348200729493411133431 absolute error = 2.99889764478157e-17 relative error = 2.3022817809906373441002081668646e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2487.2MB, alloc=4.3MB, time=171.37 NO POLE NO POLE x[1] = 0.8 y2[1] (analytic) = 1.3032932906528345790792500183577 y2[1] (numeric) = 1.6012819769562399731665739494533 absolute error = 0.2979886863034053940873239310956 relative error = 22.864284535228401151538464688788 % h = 0.001 y1[1] (analytic) = 1.3032932906528345790792500183577 y1[1] (numeric) = 1.3032932906528346091021221815567 absolute error = 3.00228721631990e-17 relative error = 2.3036159534098574609368475176009e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2491.0MB, alloc=4.3MB, time=171.62 NO POLE NO POLE x[1] = 0.801 y2[1] (analytic) = 1.3040109949775004034730459911998 y2[1] (numeric) = 1.602717037411672948036371501481 absolute error = 0.2987060424341725445633255102812 relative error = 22.906711951407009595803572244281 % h = 0.001 y1[1] (analytic) = 1.3040109949775004034730459911998 y1[1] (numeric) = 1.3040109949775004335297790086075 absolute error = 3.00567330174077e-17 relative error = 2.3049447537768884586566690279498e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.802 y2[1] (analytic) = 1.3047293952911132512846199187868 y2[1] (numeric) = 1.6041534902040068311895621340462 absolute error = 0.2994240949128935799049422152594 relative error = 22.949133819897237028233051930808 % h = 0.001 y1[1] (analytic) = 1.3047293952911132512846199187868 y1[1] (numeric) = 1.3047293952911132813751788953677 absolute error = 3.00905589765809e-17 relative error = 2.3062681875015966583646433173719e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2494.8MB, alloc=4.3MB, time=171.88 NO POLE NO POLE x[1] = 0.803 y2[1] (analytic) = 1.3054484908752728687678147950589 y2[1] (numeric) = 1.6055913338967889499966580649686 absolute error = 0.3001428430215160812288432699097 relative error = 22.991550039655511924684428609557 % h = 0.001 y1[1] (analytic) = 1.3054484908752728687678147950589 y1[1] (numeric) = 1.3054484908752728988921648019517 absolute error = 3.01243500068928e-17 relative error = 2.3075862600059481123421432180322e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2498.6MB, alloc=4.3MB, time=172.14 NO POLE NO POLE x[1] = 0.804 y2[1] (analytic) = 1.3061682810108837316876431526351 y2[1] (numeric) = 1.6070305670521757314958442249853 absolute error = 0.3008622860412919998082010723502 relative error = 23.033960509931035857795608029675 % h = 0.001 y1[1] (analytic) = 1.3061682810108837316876431526351 y1[1] (numeric) = 1.3061682810108837618457492271873 absolute error = 3.01581060745522e-17 relative error = 2.3088989767238809277466013180855e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2502.4MB, alloc=4.3MB, time=172.41 NO POLE NO POLE x[1] = 0.805 y2[1] (analytic) = 1.3068887649781557644157513731752 y2[1] (numeric) = 1.6084711882309341402364313992721 absolute error = 0.3015824232527783758206800260969 relative error = 23.076365130265637518432309307926 % h = 0.001 y1[1] (analytic) = 1.3068887649781557644157513731752 y1[1] (numeric) = 1.3068887649781557946075785189784 absolute error = 3.01918271458032e-17 relative error = 2.3102063431012697485443067901991e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2506.2MB, alloc=4.3MB, time=172.67 NO POLE NO POLE x[1] = 0.806 y2[1] (analytic) = 1.3076099420566050597204353332294 y2[1] (numeric) = 1.6099131959924431175117717420505 absolute error = 0.3023032539358380577913364088211 relative error = 23.118763800493623635620889753553 % h = 0.001 y1[1] (analytic) = 1.3076099420566050597204353332294 y1[1] (numeric) = 1.3076099420566050899459485201541 absolute error = 3.02255131869247e-17 relative error = 2.3115083645957985007258143161198e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2510.1MB, alloc=4.3MB, time=172.93 NO POLE NO POLE x[1] = 0.807 y2[1] (analytic) = 1.3083318115250545992504875956188 y2[1] (numeric) = 1.6113565888946950219801974314846 absolute error = 0.3030247773696404227297098358658 relative error = 23.161156420741626812206762932944 % h = 0.001 y1[1] (analytic) = 1.3083318115250545992504875956188 y1[1] (numeric) = 1.3083318115250546295096517598493 absolute error = 3.02591641642305e-17 relative error = 2.3128050466768793356753181189435e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2513.9MB, alloc=4.3MB, time=173.20 NO POLE NO POLE x[1] = 0.808 y2[1] (analytic) = 1.3090543726616349747121556625597 y2[1] (numeric) = 1.6128013654942970716725418440494 absolute error = 0.3037469928326620969603861814897 relative error = 23.20354289142845029345804450254 % h = 0.001 y1[1] (analytic) = 1.3090543726616349747121556625597 y1[1] (numeric) = 1.3090543726616350050049357066295 absolute error = 3.02927800440698e-17 relative error = 2.3140963948256023167906061775957e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2517.7MB, alloc=4.3MB, time=173.46 NO POLE NO POLE x[1] = 0.809 y2[1] (analytic) = 1.3097776247437851097384901136346 y2[1] (numeric) = 1.6142475243464727873848012409696 absolute error = 0.304469899602687677646311127335 relative error = 23.245923113264909685813099625457 % h = 0.001 y1[1] (analytic) = 1.3097776247437851097384901136346 y1[1] (numeric) = 1.3097776247437851400648509064612 absolute error = 3.03263607928266e-17 relative error = 2.3153824145346012085474529632152e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2521.5MB, alloc=4.3MB, time=173.72 NO POLE NO POLE x[1] = 0.81 y2[1] (analytic) = 1.3105015670482529824503607593199 y2[1] (numeric) = 1.6156950640050634374544935741877 absolute error = 0.3051934969568104550041328148678 relative error = 23.288296987253671642949314172863 % h = 0.001 y1[1] (analytic) = 1.3105015670482529824503607593199 y1[1] (numeric) = 1.3105015670482530128102671362402 absolute error = 3.03599063769203e-17 relative error = 2.3166631113080111986975261520434e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2525.3MB, alloc=4.3MB, time=174.00 NO POLE NO POLE x[1] = 0.811 y2[1] (analytic) = 1.311226198851096348708418249117 y2[1] (numeric) = 1.6171439830225294839192696356221 absolute error = 0.3059177841714331352108513865051 relative error = 23.330664414689089536328672831555 % h = 0.001 y1[1] (analytic) = 1.311226198851096348708418249117 y1[1] (numeric) = 1.3112261988510963791018350119222 absolute error = 3.03934167628052e-17 relative error = 2.3179384906613427914955594246499e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2529.1MB, alloc=4.3MB, time=174.26 NO POLE NO POLE x[1] = 0.812 y2[1] (analytic) = 1.3119515194276834660552778823829 y2[1] (numeric) = 1.6185942799499520300563303912256 absolute error = 0.3066427605222685640010525088427 relative error = 23.373025297157036127353604126379 % h = 0.001 y1[1] (analytic) = 1.3119515194276834660552778823829 y1[1] (numeric) = 1.3119515194276834964821697993538 absolute error = 3.04268919169709e-17 relative error = 2.3192085581214246418792901465485e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2532.9MB, alloc=4.3MB, time=174.53 NO POLE NO POLE x[1] = 0.813 y2[1] (analytic) = 1.3126775280526938183472016797382 y2[1] (numeric) = 1.6200459533370342693012029605472 absolute error = 0.307368425284340450954001280809 relative error = 23.415379536534733258244048639735 % h = 0.001 y1[1] (analytic) = 1.3126775280526938183472016797382 y1[1] (numeric) = 1.3126775280526938488075334856806 absolute error = 3.04603318059424e-17 relative error = 2.3204733192263236492589366294033e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2536.8MB, alloc=4.3MB, time=174.79 NO POLE NO POLE x[1] = 0.814 y2[1] (analytic) = 1.3134042240001188410745540834314 y2[1] (numeric) = 1.6214990017321029355444263231415 absolute error = 0.3080947777319840944698722397101 relative error = 23.457727034990578578723825786313 % h = 0.001 y1[1] (analytic) = 1.3134042240001188410745540834314 y1[1] (numeric) = 1.313404224000118871568290479711 absolute error = 3.04937363962796e-17 relative error = 2.3217327795252195585916234909507e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2540.6MB, alloc=4.3MB, time=175.06 NO POLE NO POLE x[1] = 0.815 y2[1] (analytic) = 1.3141316065432626473703059662622 y2[1] (numeric) = 1.6229534236821097548046964552619 absolute error = 0.3088218171388471074343904889997 relative error = 23.500067694983969325581119785175 % h = 0.001 y1[1] (analytic) = 1.3141316065432626473703059662622 y1[1] (numeric) = 1.3141316065432626778974116208402 absolute error = 3.05271056545780e-17 relative error = 2.3229869445783712188425181424154e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.816 y2[1] (analytic) = 1.314859674954742754705860940622 y2[1] (numeric) = 1.6244092177326328982770192238123 absolute error = 0.3095495427778901435711582831903 relative error = 23.542401419265123172144280360069 % h = 0.001 y1[1] (analytic) = 1.314859674954742754705860940622 y1[1] (numeric) = 1.3148596749547427852663004880905 absolute error = 3.05604395474685e-17 relative error = 2.3242358199570144324528159474454e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2544.4MB, alloc=4.3MB, time=175.31 NO POLE NO POLE x[1] = 0.817 y2[1] (analytic) = 1.315588428506490812273477271886 y2[1] (numeric) = 1.6258663824278784367544179895262 absolute error = 0.3102779539213876244809407176402 relative error = 23.584728110874896164690141583714 % h = 0.001 y1[1] (analytic) = 1.315588428506490812273477271886 y1[1] (numeric) = 1.315588428506490842867215313503 absolute error = 3.05937380416170e-17 relative error = 2.3254794112432448699481576855974e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2548.2MB, alloc=4.3MB, time=175.58 NO POLE NO POLE x[1] = 0.818 y2[1] (analytic) = 1.316317866469753329054558013794 y2[1] (numeric) = 1.6273249163106817964217414977868 absolute error = 0.3110070498409284673671834839928 relative error = 23.627047673144597762777706542947 % h = 0.001 y1[1] (analytic) = 1.316317866469753329054558013794 y1[1] (numeric) = 1.3163178664697533596815591175191 absolute error = 3.06270011037251e-17 relative error = 2.3267177240299848694499678044132e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2552.0MB, alloc=4.3MB, time=175.84 NO POLE NO POLE x[1] = 0.819 y2[1] (analytic) = 1.3170479881150924025730812975917 y2[1] (numeric) = 1.628784817922509216020116263401 absolute error = 0.3117368298074168134470349658093 relative error = 23.669360009695803000475329511505 % h = 0.001 y1[1] (analytic) = 1.3170479881150924025730812975917 y1[1] (numeric) = 1.3170479881150924332333099981214 absolute error = 3.06602287005297e-17 relative error = 2.3279507639208667569890456128914e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2555.8MB, alloc=4.3MB, time=176.11 NO POLE NO POLE x[1] = 0.82 y2[1] (analytic) = 1.3177787927123864483334420215631 y2[1] (numeric) = 1.6302460858034592053805862849968 absolute error = 0.3124672930910727570471442634337 relative error = 23.711665024440161785424454440704 % h = 0.001 y1[1] (analytic) = 1.3177787927123864483334420215631 y1[1] (numeric) = 1.3177787927123864790268628203663 absolute error = 3.06934207988032e-17 relative error = 2.3291785365301620173796161956842e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2559.7MB, alloc=4.3MB, time=176.37 NO POLE NO POLE x[1] = 0.821 y2[1] (analytic) = 1.3185102795308309299419755031717 y2[1] (numeric) = 1.6317087184922640053254815555259 absolute error = 0.3131984389614330753835060523542 relative error = 23.753962621579205352657542170138 % h = 0.001 y1[1] (analytic) = 1.3185102795308309299419755031717 y1[1] (numeric) = 1.3185102795308309606685528685253 absolute error = 3.07265773653536e-17 relative error = 2.3304010474827030490120304399746e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2563.5MB, alloc=4.3MB, time=176.63 NO POLE NO POLE x[1] = 0.822 y2[1] (analytic) = 1.3192424478389390899114329723498 y2[1] (numeric) = 1.6331727145262910489360554676245 absolute error = 0.3139302666873519590246224952747 relative error = 23.796252705604149890062042166709 % h = 0.001 y1[1] (analytic) = 1.3192424478389390899114329723498 y1[1] (numeric) = 1.3192424478389391206711313393741 absolute error = 3.07596983670243e-17 relative error = 2.3316183024137823722951669972974e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2567.3MB, alloc=4.3MB, time=176.89 NO POLE NO POLE x[1] = 0.823 y2[1] (analytic) = 1.3199752969045426811476781015192 y2[1] (numeric) = 1.6346380724415444241849298463168 absolute error = 0.3146627755370017430372517447976 relative error = 23.83853518129569735235614115942 % h = 0.001 y1[1] (analytic) = 1.3199752969045426811476781015192 y1[1] (numeric) = 1.3199752969045427119404618722134 absolute error = 3.07927837706942e-17 relative error = 2.3328303069690748359821062233512e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2571.1MB, alloc=4.3MB, time=177.16 NO POLE NO POLE x[1] = 0.824 y2[1] (analytic) = 1.3207088259947926991178730857087 y2[1] (numeric) = 1.6361047907726663379318849767377 absolute error = 0.315395964777873638814011891029 relative error = 23.880809953723833480415554076291 % h = 0.001 y1[1] (analytic) = 1.3207088259947926991178730857087 y1[1] (numeric) = 1.3207088259947927299437066289867 absolute error = 3.08258335432780e-17 relative error = 2.3340370668045751617297728120290e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2574.9MB, alloc=4.3MB, time=177.42 NO POLE NO POLE x[1] = 0.825 y2[1] (analytic) = 1.3214430343761601146994221046441 y2[1] (numeric) = 1.6375728680529385812815306312074 absolute error = 0.3161298336767784665821085265633 relative error = 23.923076928247623042763815528666 % h = 0.001 y1[1] (analytic) = 1.3214430343761601146994221046441 y1[1] (numeric) = 1.3214430343761601455582697563701 absolute error = 3.08588476517260e-17 relative error = 2.3352385875864977960472161499186e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2578.7MB, alloc=4.3MB, time=177.68 NO POLE NO POLE x[1] = 0.826 y2[1] (analytic) = 1.3221779213144366077089393179268 y2[1] (numeric) = 1.6390423028142839963013927381082 absolute error = 0.3168643814998473885924534201814 relative error = 23.965336010515002316011386036536 % h = 0.001 y1[1] (analytic) = 1.3221779213144366077089393179268 y1[1] (numeric) = 1.3221779213144366386007653809507 absolute error = 3.08918260630239e-17 relative error = 2.3364348749911770337109680051350e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2582.5MB, alloc=4.3MB, time=177.94 NO POLE NO POLE x[1] = 0.827 y2[1] (analytic) = 1.3229134860747353011105078643946 y2[1] (numeric) = 1.6405130935872679440989489745993 absolute error = 0.3175996075125326429884411102047 relative error = 24.007587106462568821001409546442 % h = 0.001 y1[1] (analytic) = 1.3229134860747353011105078643946 y1[1] (numeric) = 1.322913486074735332035276608588 absolute error = 3.09247687441934e-17 relative error = 2.3376259347050278856149534671517e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2586.4MB, alloc=4.3MB, time=178.20 NO POLE NO POLE x[1] = 0.828 y2[1] (analytic) = 1.3236497279214914959024956574681 y2[1] (numeric) = 1.6419852389010997742561452062571 absolute error = 0.318335510979608278353649548789 relative error = 24.049830122315368331392150852228 % h = 0.001 y1[1] (analytic) = 1.3236497279214914959024956574681 y1[1] (numeric) = 1.3236497279214915268601713197599 absolute error = 3.09576756622918e-17 relative error = 2.3388117724244314683368218633485e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2590.2MB, alloc=4.3MB, time=178.46 NO POLE NO POLE x[1] = 0.829 y2[1] (analytic) = 1.3243866461184634066821930897261 y2[1] (numeric) = 1.6434587372836342956199233392453 absolute error = 0.3190720911651708889377302495192 relative error = 24.092064964586679171378006569674 % h = 0.001 y1[1] (analytic) = 1.3243866461184634066821930897261 y1[1] (numeric) = 1.3243866461184634376727398741383 absolute error = 3.09905467844122e-17 relative error = 2.3399923938556660208226213794630e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2594.0MB, alloc=4.3MB, time=178.72 x[1] = 0.83 y2[1] (analytic) = 1.3251242399287328978875370821356 y2[1] (numeric) = 1.6449335872613732484472897946116 absolute error = 0.319809347332640350559752712476 relative error = 24.134291540077793819222524610098 % h = 0.001 y1[1] (analytic) = 1.3251242399287328978875370821356 y1[1] (numeric) = 1.325124239928732928910919159819 absolute error = 3.10233820776834e-17 relative error = 2.3411678047148154538332355888290e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.831 y2[1] (analytic) = 1.3258625086147062207151852362717 y2[1] (numeric) = 1.6464097873594667779034524597635 absolute error = 0.3205472787447605571882672234918 relative error = 24.176509755877797833248087907466 % h = 0.001 y1[1] (analytic) = 1.3258625086147062207151852362717 y1[1] (numeric) = 1.325862508614706251771366745542 absolute error = 3.10561815092703e-17 relative error = 2.3423380107277158588966155241137e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2597.8MB, alloc=4.3MB, time=178.98 NO POLE NO POLE x[1] = 0.832 y2[1] (analytic) = 1.3266014514381147507142031715169 y2[1] (numeric) = 1.64788733610171490891155261911 absolute error = 0.3212858846636001581973494475931 relative error = 24.218719519363346116897821729681 % h = 0.001 y1[1] (analytic) = 1.3266014514381147507142031715169 y1[1] (numeric) = 1.3266014514381147818031482178903 absolute error = 3.10889450463734e-17 relative error = 2.3435030176298342972588247731868e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2601.6MB, alloc=4.3MB, time=179.24 NO POLE NO POLE x[1] = 0.833 y2[1] (analytic) = 1.3273410676600157260546274536119 y2[1] (numeric) = 1.6493662320105690223525170142599 absolute error = 0.322025164350553296297889560648 relative error = 24.260920738198436539455873490229 % h = 0.001 y1[1] (analytic) = 1.3273410676600157260546274536119 y1[1] (numeric) = 1.327341067660015757176300109841 absolute error = 3.11216726562291e-17 relative error = 2.3446628311662082094944604783318e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2605.4MB, alloc=4.3MB, time=179.51 NO POLE NO POLE x[1] = 0.834 y2[1] (analytic) = 1.3280813565407929864701658460576 y2[1] (numeric) = 1.6508464736071333326135538340475 absolute error = 0.3227651170663403461433879879899 relative error = 24.303113320334180928982492801783 % h = 0.001 y1[1] (analytic) = 1.3280813565407929864701658460576 y1[1] (numeric) = 1.3280813565407930176245301521673 absolute error = 3.11543643061097e-17 relative error = 2.3458174570913623846291778015128e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2609.2MB, alloc=4.3MB, time=179.77 NO POLE NO POLE x[1] = 0.835 y2[1] (analytic) = 1.3288223173401577128742959417292 y2[1] (numeric) = 1.652328059411166366483815086013 absolute error = 0.3235057420710086536095191442838 relative error = 24.345297174008573453990310801244 % h = 0.001 y1[1] (analytic) = 1.3288223173401577128742959417292 y1[1] (numeric) = 1.3288223173401577440613159050529 absolute error = 3.11870199633237e-17 relative error = 2.3469669011692487301194194122935e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2613.1MB, alloc=4.3MB, time=180.03 NO POLE NO POLE x[1] = 0.836 y2[1] (analytic) = 1.3295639493171491676490225586661 y2[1] (numeric) = 1.6538109879410824433957464537986 absolute error = 0.3242470386239332757467238951325 relative error = 24.387472207746256410357884736589 % h = 0.001 y1[1] (analytic) = 1.3295639493171491676490225586661 y1[1] (numeric) = 1.3295639493171491988686621538816 absolute error = 3.12196395952155e-17 relative error = 2.3481111691731410635212440720905e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2616.9MB, alloc=4.3MB, time=180.30 NO POLE NO POLE x[1] = 0.837 y2[1] (analytic) = 1.3303062517301354356055536113409 y2[1] (numeric) = 1.6552952577139531570106443992336 absolute error = 0.3249890059838177214050907878927 relative error = 24.429638330358283429945939641076 % h = 0.001 y1[1] (analytic) = 1.3303062517301354356055536113409 y1[1] (numeric) = 1.3303062517301354668577767805062 absolute error = 3.12522231691653e-17 relative error = 2.3492502668855452390421484598614e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2620.7MB, alloc=4.3MB, time=180.56 NO POLE NO POLE x[1] = 0.838 y2[1] (analytic) = 1.3310492238368141656161534967937 y2[1] (numeric) = 1.6567808672455088581469389236745 absolute error = 0.3257316434086946925307854268808 relative error = 24.471795450941880127350806819759 % h = 0.001 y1[1] (analytic) = 1.3310492238368141656161534967937 y1[1] (numeric) = 1.3310492238368141969009241493833 absolute error = 3.12847706525896e-17 relative error = 2.3503842000981546019936126697192e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2624.5MB, alloc=4.3MB, time=180.83 NO POLE NO POLE x[1] = 0.839 y2[1] (analytic) = 1.3317928648942133129164323638407 y2[1] (numeric) = 1.6582678150501401390497190604422 absolute error = 0.3264749501559268261332866966015 relative error = 24.513943478880202201198332017177 % h = 0.001 y1[1] (analytic) = 1.3317928648942133129164323638407 y1[1] (numeric) = 1.3317928648942133442337143767817 absolute error = 3.13172820129410e-17 relative error = 2.3515129746117529824866593199280e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2628.3MB, alloc=4.3MB, time=181.09 NO POLE NO POLE x[1] = 0.84 y2[1] (analytic) = 1.3325371741586918820773289631291 y2[1] (numeric) = 1.6597560996408993190000168289529 absolute error = 0.3272189254822074369226878658238 relative error = 24.556082323842091006350007692282 % h = 0.001 y1[1] (analytic) = 1.3325371741586918820773289631291 y1[1] (numeric) = 1.3325371741586919134270861808372 absolute error = 3.13497572177081e-17 relative error = 2.3526365962361254701471376618779e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2632.1MB, alloc=4.3MB, time=181.36 NO POLE NO POLE x[1] = 0.841 y2[1] (analytic) = 1.3332821508859406706460441061175 y2[1] (numeric) = 1.6612457195295019312623640413833 absolute error = 0.3279635686435612606163199352658 relative error = 24.598211895781826613361276955981 % h = 0.001 y1[1] (analytic) = 1.3332821508859406706460441061175 y1[1] (numeric) = 1.333282150885940702028240340533 absolute error = 3.13821962344155e-17 relative error = 2.3537550707899769407756646326335e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2635.9MB, alloc=4.3MB, time=181.61 NO POLE NO POLE x[1] = 0.842 y2[1] (analytic) = 1.3340277943309830134551810921098 y2[1] (numeric) = 1.6627366732263282113691350144375 absolute error = 0.3287088788953451979139539223277 relative error = 24.640332104938878371499864575577 % h = 0.001 y1[1] (analytic) = 1.3340277943309830134551810921098 y1[1] (numeric) = 1.3340277943309830448697801227343 absolute error = 3.14145990306245e-17 relative error = 2.3548684041009032824696079035315e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2639.8MB, alloc=4.3MB, time=181.88 NO POLE NO POLE x[1] = 0.843 y2[1] (analytic) = 1.334774103748175527599348794266 y2[1] (numeric) = 1.6642289592404245867401869019967 absolute error = 0.3294548554922490591408381077307 relative error = 24.682442861837652991599616155315 % h = 0.001 y1[1] (analytic) = 1.334774103748175527599348794266 y1[1] (numeric) = 1.3347741037481755590463143681981 absolute error = 3.14469655739321e-17 relative error = 2.3559766020052353104299118089268e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2643.6MB, alloc=4.3MB, time=182.14 x[1] = 0.844 y2[1] (analytic) = 1.3355210783912088580784824280462 y2[1] (numeric) = 1.6657225760795051676363080291347 absolute error = 0.3302014976882963095578256010885 relative error = 24.724544077287240164992673290036 % h = 0.001 y1[1] (analytic) = 1.3355210783912088580784824280462 y1[1] (numeric) = 1.3355210783912088895577782600181 absolute error = 3.14792958319719e-17 relative error = 2.3570796703480254272431207367481e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.845 y2[1] (analytic) = 1.3362687175131084241071363588314 y2[1] (numeric) = 1.6672175222499532394449832741766 absolute error = 0.3309488047368448153378469153452 relative error = 24.766635662381155734729883273023 % h = 0.001 y1[1] (analytic) = 1.3362687175131084241071363588314 y1[1] (numeric) = 1.336268717513108455618726131245 absolute error = 3.15115897724136e-17 relative error = 2.3581776149829295152251803305463e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2647.4MB, alloc=4.3MB, time=182.40 NO POLE NO POLE x[1] = 0.846 y2[1] (analytic) = 1.3370170203662351660890026394896 y2[1] (numeric) = 1.6687137962568227562969842131582 absolute error = 0.3316967758905875902079815736686 relative error = 24.80871752849708243526613992414 % h = 0.001 y1[1] (analytic) = 1.3370170203662351660890026394896 y1[1] (numeric) = 1.3370170203662351976328500024528 absolute error = 3.15438473629632e-17 relative error = 2.3592704417721415378158051519307e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2651.2MB, alloc=4.3MB, time=182.66 NO POLE NO POLE x[1] = 0.847 y2[1] (analytic) = 1.3377659862022862932559083034306 y2[1] (numeric) = 1.6702113966038398360122904102217 absolute error = 0.3324454104015535427563821067911 relative error = 24.850789587296608216753880382539 % h = 0.001 y1[1] (analytic) = 1.3377659862022862932559083034306 y1[1] (numeric) = 1.3377659862022863248319768747938 absolute error = 3.15760685713632e-17 relative error = 2.3603581565863283189708807998755e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2655.0MB, alloc=4.3MB, time=182.92 NO POLE NO POLE x[1] = 0.848 y2[1] (analytic) = 1.3385156142722960319705437742155 y2[1] (numeric) = 1.67171032179340425637384690815 absolute error = 0.3331947075211082244033031339345 relative error = 24.892851750724962170054224360198 % h = 0.001 y1[1] (analytic) = 1.3385156142722960319705437742155 y1[1] (numeric) = 1.3385156142722960635787971396077 absolute error = 3.16082533653922e-17 relative error = 2.3614407653045196750869543111414e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2658.8MB, alloc=4.3MB, time=183.18 NO POLE NO POLE x[1] = 0.849 y2[1] (analytic) = 1.3392659038266363746921740890535 y2[1] (numeric) = 1.6732105703265909527276616454073 absolute error = 0.3339446664999545780354875563538 relative error = 24.934903931010748068541240449164 % h = 0.001 y1[1] (analytic) = 1.3392659038266363746921740890535 y1[1] (numeric) = 1.3392659038266364063325758019191 absolute error = 3.16404017128656e-17 relative error = 2.3625182738140810107597542480508e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2662.6MB, alloc=4.3MB, time=183.45 NO POLE NO POLE x[1] = 0.85 y2[1] (analytic) = 1.3400168541150178296045839705385 y2[1] (numeric) = 1.6747121407031515169077451997133 absolute error = 0.3346952865881336873031612291748 relative error = 24.976946040665675542740561673968 % h = 0.001 y1[1] (analytic) = 1.3400168541150178296045839705385 y1[1] (numeric) = 1.3400168541150178612770975521735 absolute error = 3.16725135816350e-17 relative error = 2.3635906880105889541232715619263e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2666.5MB, alloc=4.3MB, time=183.71 NO POLE NO POLE x[1] = 0.851 y2[1] (analytic) = 1.3407684643864901709055071187424 y2[1] (numeric) = 1.676215031421515697484393933336 absolute error = 0.3354465670350255265788868145936 relative error = 25.018977992484288903809052629048 % h = 0.001 y1[1] (analytic) = 1.3407684643864901709055071187424 y1[1] (numeric) = 1.3407684643864902026100960583309 absolute error = 3.17045889395885e-17 relative error = 2.3646580137977744978600728215034e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2670.3MB, alloc=4.3MB, time=183.98 NO POLE NO POLE x[1] = 0.852 y2[1] (analytic) = 1.3415207338894431897567894342973 y2[1] (numeric) = 1.6777192409787929013343162919454 absolute error = 0.3361985070893497115775268576481 relative error = 25.060999699543693631827456274234 % h = 0.001 y1[1] (analytic) = 1.3415207338894431897567894342973 y1[1] (numeric) = 1.3415207338894432214934171889482 absolute error = 3.17366277546509e-17 relative error = 2.3657202570874588402383481181467e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2674.1MB, alloc=4.3MB, time=184.24 NO POLE NO POLE x[1] = 0.853 y2[1] (analytic) = 1.3422736618716074458945352223685 y2[1] (numeric) = 1.6792247678707736965311006870263 absolute error = 0.3369511059991662506365654646578 relative error = 25.103011075203280544842922802607 % h = 0.001 y1[1] (analytic) = 1.3422736618716074458945352223685 y1[1] (numeric) = 1.3422736618716074776631652171517 absolute error = 3.17686299947832e-17 relative error = 2.3667774237994372554713524489144e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2677.9MB, alloc=4.3MB, time=184.50 NO POLE NO POLE x[1] = 0.854 y2[1] (analytic) = 1.3430272475800550198984847674316 y2[1] (numeric) = 1.6807316105919313165545220715081 absolute error = 0.3377043630118762966560373040765 relative error = 25.145012033104447664563048957985 % h = 0.001 y1[1] (analytic) = 1.3430272475800550198984847674316 y1[1] (numeric) = 1.3430272475800550516990803954148 absolute error = 3.18005956279832e-17 relative error = 2.3678295198614452240823002139041e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2681.7MB, alloc=4.3MB, time=184.76 NO POLE NO POLE x[1] = 0.855 y2[1] (analytic) = 1.3437814902612002661198710095412 y2[1] (numeric) = 1.6822397676354231658171829994304 absolute error = 0.3384582773742228996973119898892 relative error = 25.187002487170319794567536762112 % h = 0.001 y1[1] (analytic) = 1.3437814902612002661198710095412 y1[1] (numeric) = 1.3437814902612002979523956318266 absolute error = 3.18325246222854e-17 relative error = 2.3688765512090725512367847873331e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2685.5MB, alloc=4.3MB, time=185.02 NO POLE NO POLE x[1] = 0.856 y2[1] (analytic) = 1.3445363891608005662670023942965 y2[1] (numeric) = 1.6837492374930923265069836431279 absolute error = 0.3392128483322917602399812488314 relative error = 25.228982351605465826867818804674 % h = 0.001 y1[1] (analytic) = 1.3445363891608005662670023942965 y1[1] (numeric) = 1.3445363891608005981314193400572 absolute error = 3.18644169457607e-17 relative error = 2.3699185237856628656620219063316e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2689.4MB, alloc=4.3MB, time=185.28 NO POLE NO POLE x[1] = 0.857 y2[1] (analytic) = 1.3452919435239570836478183109831 y2[1] (numeric) = 1.6852600186554690667439139255916 absolute error = 0.3399680751315119830960956146085 relative error = 25.270951540895613792608996028471 % h = 0.001 y1[1] (analytic) = 1.3452919435239570836478183109831 y1[1] (numeric) = 1.3452919435239571155440908774998 absolute error = 3.18962725665167e-17 relative error = 2.3709554435422580244670943869729e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2693.2MB, alloc=4.3MB, time=185.54 NO POLE NO POLE x[1] = 0.858 y2[1] (analytic) = 1.3460481525951155180686628763995 y2[1] (numeric) = 1.6867721096117723500496596113387 absolute error = 0.3407239570166568319809967349392 relative error = 25.31290996980736367267219627153 % h = 0.001 y1[1] (analytic) = 1.3460481525951155180686628763995 y1[1] (numeric) = 1.3460481525951155499967543290973 absolute error = 3.19280914526978e-17 relative error = 2.3719873164375278153689580991955e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.859 y2[1] (analytic) = 1.3468050156180668613885221656564 y2[1] (numeric) = 1.6882855088499113461285128863111 absolute error = 0.3414804932318444847399907206547 relative error = 25.354857553387897983898990661704 % h = 0.001 y1[1] (analytic) = 1.3468050156180668613885221656564 y1[1] (numeric) = 1.3468050156180668933483957381418 absolute error = 3.19598735724854e-17 relative error = 2.3730141484377072899780890741353e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2697.0MB, alloc=4.3MB, time=185.80 NO POLE NO POLE x[1] = 0.86 y2[1] (analytic) = 1.3475625318359481537279693357761 y2[1] (numeric) = 1.6898002148564869429580766460186 absolute error = 0.3422376830205387892301073102425 relative error = 25.396794206964690156622803236667 % h = 0.001 y1[1] (analytic) = 1.3475625318359481537279693357761 y1[1] (numeric) = 1.3475625318359481857195882298731 absolute error = 3.19916188940970e-17 relative error = 2.3740359455164526494701769102522e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2700.8MB, alloc=4.3MB, time=186.07 NO POLE NO POLE x[1] = 0.861 y2[1] (analytic) = 1.3483207004912432403320614332074 y2[1] (numeric) = 1.6913162261167932601882504013472 absolute error = 0.3429955256255500198561889681398 relative error = 25.438719846145210719155319812821 % h = 0.001 y1[1] (analytic) = 1.3483207004912432403320614332074 y1[1] (numeric) = 1.3483207004912432723553888189949 absolute error = 3.20233273857875e-17 relative error = 2.3750527136548607530721219023580e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2704.6MB, alloc=4.3MB, time=186.33 NO POLE NO POLE x[1] = 0.862 y2[1] (analytic) = 1.3490795208257835290864310224247 y2[1] (numeric) = 1.6928335411148191638469844031739 absolute error = 0.3437540202890356347605533807492 relative error = 25.480634386816631304838748065819 % h = 0.001 y1[1] (analytic) = 1.3490795208257835290864310224247 y1[1] (numeric) = 1.349079520825783561141430038273 absolute error = 3.20549990158483e-17 relative error = 2.3760644588413254585920697478542e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2708.4MB, alloc=4.3MB, time=186.59 NO POLE NO POLE x[1] = 0.863 y2[1] (analytic) = 1.3498389920807487486858151195816 y2[1] (numeric) = 1.6943521583332497823512872801596 absolute error = 0.344513166252501033665472160578 relative error = 25.522537745145526497237404918315 % h = 0.001 y1[1] (analytic) = 1.3498389920807487486858151195816 y1[1] (numeric) = 1.3498389920807487807724488721895 absolute error = 3.20866337526079e-17 relative error = 2.3770711870715055444974660951203e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2712.2MB, alloc=4.3MB, time=186.86 NO POLE NO POLE x[1] = 0.864 y2[1] (analytic) = 1.3505991134966677074542632627533 y2[1] (numeric) = 1.6958720762534680238219711788385 absolute error = 0.3452729627568003163677079160852 relative error = 25.564429837577573529004512548351 % h = 0.001 y1[1] (analytic) = 1.3505991134966677074542632627533 y1[1] (numeric) = 1.3505991134966677395724948271848 absolute error = 3.21182315644315e-17 relative error = 2.3780729043482186726700958122989e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2716.1MB, alloc=4.3MB, time=187.12 NO POLE NO POLE x[1] = 0.865 y2[1] (analytic) = 1.3513598843134190528162658986232 y2[1] (numeric) = 1.697393293355556094700617091386 absolute error = 0.3460334090421370418843511927628 relative error = 25.606310580837249849922273514328 % h = 0.001 y1[1] (analytic) = 1.3513598843134190528162658986232 y1[1] (numeric) = 1.3513598843134190849660583183445 absolute error = 3.21497924197213e-17 relative error = 2.3790696166813874831256739825248e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2719.9MB, alloc=4.3MB, time=187.38 NO POLE NO POLE x[1] = 0.866 y2[1] (analytic) = 1.3521213037702320314180436145485 y2[1] (numeric) = 1.6989158081182970196672417542258 absolute error = 0.3467945043480649882491981396773 relative error = 25.64817989192752857957527150688 % h = 0.001 y1[1] (analytic) = 1.3521213037702320314180436145485 y1[1] (numeric) = 1.352121303770232063599359901465 absolute error = 3.21813162869165e-17 relative error = 2.3800613300879636587064532783441e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2723.7MB, alloc=4.3MB, time=187.64 NO POLE NO POLE x[1] = 0.867 y2[1] (analytic) = 1.3528833711056872498982370947791 y2[1] (numeric) = 1.700439619019176162857146199936 absolute error = 0.3475562479134889129589091051569 relative error = 25.690037688129571860079009938913 % h = 0.001 y1[1] (analytic) = 1.3528833711056872498982370947791 y1[1] (numeric) = 1.3528833711056872821110402292722 absolute error = 3.22128031344931e-17 relative error = 2.3810480505918374390732238482929e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2727.5MB, alloc=4.3MB, time=187.90 NO POLE NO POLE x[1] = 0.868 y2[1] (analytic) = 1.3536460855577174363072370302028 y2[1] (numeric) = 1.7019647245343827503754247457328 absolute error = 0.34831863897666531406818771553 relative error = 25.731883887002422124246958815021 % h = 0.001 y1[1] (analytic) = 1.3536460855577174363072370302028 y1[1] (numeric) = 1.353646085557717468551489961167 absolute error = 3.22442529309642e-17 relative error = 2.3820297842237843546344907300912e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2731.3MB, alloc=4.3MB, time=188.16 NO POLE NO POLE x[1] = 0.869 y2[1] (analytic) = 1.3544094463636082021743925623504 y2[1] (numeric) = 1.7034911231388113941076119041492 absolute error = 0.3490816767752031919332193417988 relative error = 25.77371840638269129454083390981 % h = 0.001 y1[1] (analytic) = 1.3544094463636082021743925623504 y1[1] (numeric) = 1.3544094463636082344500582072307 absolute error = 3.22756656448803e-17 relative error = 2.3830065370214121183143456074728e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2735.1MB, alloc=4.3MB, time=188.42 NO POLE NO POLE x[1] = 0.87 y2[1] (analytic) = 1.3551734527599988052223361945172 y2[1] (numeric) = 1.7050188133060636168249434053889 absolute error = 0.3498453605460648116026072108717 relative error = 25.81554116438424792810998404881 % h = 0.001 y1[1] (analytic) = 1.3551734527599988052223361945172 y1[1] (numeric) = 1.3551734527599988375293774393456 absolute error = 3.23070412448284e-17 relative error = 2.3839783150290191258129717683437e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2738.9MB, alloc=4.3MB, time=188.69 NO POLE NO POLE x[1] = 0.871 y2[1] (analytic) = 1.3559381039828829127276624557362 y2[1] (numeric) = 1.7065477935084493785827062262219 absolute error = 0.3506096895255664658550437704857 relative error = 25.857352079397902323186715030704 % h = 0.001 y1[1] (analytic) = 1.3559381039828829127276624557362 y1[1] (numeric) = 1.3559381039828829450660421551694 absolute error = 3.23383796994332e-17 relative error = 2.3849451242976082880493622246592e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2742.8MB, alloc=4.3MB, time=188.95 NO POLE NO POLE x[1] = 0.872 y2[1] (analytic) = 1.3567033992676093655271969569926 y2[1] (numeric) = 1.7080780622169886044101512271984 absolute error = 0.3513746629493792388829542702058 relative error = 25.899151070091089602065135245651 % h = 0.001 y1[1] (analytic) = 1.3567033992676093655271969569926 y1[1] (numeric) = 1.3567033992676093978968779343485 absolute error = 3.23696809773559e-17 relative error = 2.3859069708847238977947181031519e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2746.6MB, alloc=4.3MB, time=189.21 x[1] = 0.873 y2[1] (analytic) = 1.3574693378488829426690918334692 y2[1] (numeric) = 1.7096096179014127132904407083959 absolute error = 0.3521402800525297706213488749267 relative error = 25.940938055407550785851671113775 % h = 0.001 y1[1] (analytic) = 1.3574693378488829426690918334692 y1[1] (numeric) = 1.3574693378488829750700368807647 absolute error = 3.24009450472955e-17 relative error = 2.3868638608544731954025308809801e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.874 y2[1] (analytic) = 1.3582359189607651267079829217956 y2[1] (numeric) = 1.7111424590301661484291019038794 absolute error = 0.3529065400694010217211189820838 relative error = 25.982712954567011876135772853277 % h = 0.001 y1[1] (analytic) = 1.3582359189607651267079829217956 y1[1] (numeric) = 1.3582359189607651591401547997834 absolute error = 3.24321718779878e-17 relative error = 2.3878158002773785062656403682942e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2750.4MB, alloc=4.3MB, time=189.47 NO POLE NO POLE x[1] = 0.875 y2[1] (analytic) = 1.359003141836674869643443377204 y2[1] (numeric) = 1.7126765840704079088094561465487 absolute error = 0.3536734422337330391660127693447 relative error = 26.024475687064860958689515546386 % h = 0.001 y1[1] (analytic) = 1.359003141836674869643443377204 y1[1] (numeric) = 1.35900314183667490210680481541 absolute error = 3.24633614382060e-17 relative error = 2.3887627952303475946797252480335e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2754.2MB, alloc=4.3MB, time=189.73 NO POLE NO POLE x[1] = 0.876 y2[1] (analytic) = 1.3597710057093893595009677922045 y2[1] (numeric) = 1.7142119914880130820334921480711 absolute error = 0.3544409857786237225325243558666 relative error = 26.066226172671823344264799741251 % h = 0.001 y1[1] (analytic) = 1.3597710057093893595009677922045 y1[1] (numeric) = 1.3597710057093893919954814889651 absolute error = 3.24945136967606e-17 relative error = 2.3897048517965926224376728768091e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2758.0MB, alloc=4.3MB, time=189.99 NO POLE NO POLE x[1] = 0.877 y2[1] (analytic) = 1.3605395098110447875547202358586 y2[1] (numeric) = 1.7157486797475743784466505531546 absolute error = 0.355209169936529590891930317296 relative error = 26.107964331433634761516672639375 % h = 0.001 y1[1] (analytic) = 1.3605395098110447875547202358586 y1[1] (numeric) = 1.3605395098110448200803488583577 absolute error = 3.25256286224991e-17 relative error = 2.3906419760655346660738037103901e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2761.8MB, alloc=4.3MB, time=190.25 NO POLE NO POLE x[1] = 0.878 y2[1] (analytic) = 1.3613086533731371161912789909656 y2[1] (numeric) = 1.7172866473124036665449856435038 absolute error = 0.3559779939392665503537066525382 relative error = 26.149690083670712617040927984878 % h = 0.001 y1[1] (analytic) = 1.3613086533731371161912789909656 y1[1] (numeric) = 1.3613086533731371487479851752726 absolute error = 3.25567061843070e-17 relative error = 2.3915741741328040390459090140153e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2765.6MB, alloc=4.3MB, time=190.52 NO POLE NO POLE x[1] = 0.879 y2[1] (analytic) = 1.3620784356265228474136101254846 y2[1] (numeric) = 1.7188258926445335096631687844254 absolute error = 0.3567474570180106622495586589408 relative error = 26.191403349977825337473602796285 % h = 0.001 y1[1] (analytic) = 1.3620784356265228474136101254846 y1[1] (numeric) = 1.362078435626522880001356476591 absolute error = 3.25877463511064e-17 relative error = 2.3925014521000643973847737329767e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2769.5MB, alloc=4.3MB, time=190.78 NO POLE NO POLE x[1] = 0.88 y2[1] (analytic) = 1.3628488558014197919845013942779 y2[1] (numeric) = 1.7203664142047187039417969262086 absolute error = 0.3575175584032989119572955319307 relative error = 26.233104051223759808559274754201 % h = 0.001 y1[1] (analytic) = 1.3628488558014197919845013942779 y1[1] (numeric) = 1.3628488558014198246032504861351 absolute error = 3.26187490918572e-17 relative error = 2.3934238160750282049364889928729e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2773.3MB, alloc=4.3MB, time=191.04 NO POLE NO POLE x[1] = 0.881 y2[1] (analytic) = 1.3636199131274078392086873278103 y2[1] (numeric) = 1.7219082104524378175724681930982 absolute error = 0.3582882973250299783637808652879 relative error = 26.274792108550986926054178052561 % h = 0.001 y1[1] (analytic) = 1.3636199131274078392086873278103 y1[1] (numeric) = 1.3636199131274078718584017033671 absolute error = 3.26497143755568e-17 relative error = 2.3943412721713621324804364535991e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2777.1MB, alloc=4.3MB, time=191.30 NO POLE NO POLE x[1] = 0.882 y2[1] (analytic) = 1.3643916068334297273528957257406 y2[1] (numeric) = 1.7234512798458947313190853149152 absolute error = 0.3590596730124650039661895891746 relative error = 26.316467443375325273289100504073 % h = 0.001 y1[1] (analytic) = 1.3643916068334297273528957257406 y1[1] (numeric) = 1.3643916068334297600335378969804 absolute error = 3.26806421712398e-17 relative error = 2.3952538265085927657282606667299e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2780.9MB, alloc=4.3MB, time=191.57 NO POLE NO POLE x[1] = 0.883 y2[1] (analytic) = 1.3651639361477918147030451354242 y2[1] (numeric) = 1.7249956208420201803138463801481 absolute error = 0.3598316846942283656108012447239 relative error = 26.358129977385602940175803308723 % h = 0.001 y1[1] (analytic) = 1.3651639361477918147030451354242 y1[1] (numeric) = 1.3651639361477918474145775834026 absolute error = 3.27115324479784e-17 relative error = 2.3961614852120638980745571248012e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2784.7MB, alloc=4.3MB, time=191.83 NO POLE NO POLE x[1] = 0.884 y2[1] (analytic) = 1.3659369002981648512578222581931 y2[1] (numeric) = 1.726541231896473297126381114654 absolute error = 0.3606043315983084458685588564609 relative error = 26.399779632543317498399319787372 % h = 0.001 y1[1] (analytic) = 1.3659369002981648512578222581931 y1[1] (numeric) = 1.3659369002981648840002074330754 absolute error = 3.27423851748823e-17 relative error = 2.3970642544128573531673006093487e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2788.5MB, alloc=4.3MB, time=192.09 NO POLE NO POLE x[1] = 0.885 y2[1] (analytic) = 1.3667104985115847510578675899006 y2[1] (numeric) = 1.7280881114636431561044896169605 absolute error = 0.3613776129520584050466220270599 relative error = 26.441416331082294147496943172962 % h = 0.001 y1[1] (analytic) = 1.3667104985115847510578675899006 y1[1] (numeric) = 1.3667104985115847838310679109995 absolute error = 3.27732003210989e-17 relative error = 2.3979621402477360171965040409017e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2792.3MB, alloc=4.3MB, time=192.36 NO POLE NO POLE x[1] = 0.886 y2[1] (analytic) = 1.3674847300144533651497969666091 y2[1] (numeric) = 1.7296362579966503189849392095598 absolute error = 0.3621515279821969538351422429507 relative error = 26.483039995508342046483008851596 % h = 0.001 y1[1] (analytic) = 1.3674847300144533651497969666091 y1[1] (numeric) = 1.3674847300144533979537748224221 absolute error = 3.28039778558130e-17 relative error = 2.3988551488590504923532634876639e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2796.2MB, alloc=4.3MB, time=192.62 NO POLE NO POLE x[1] = 0.887 y2[1] (analytic) = 1.3682595940325392551842860514642 y2[1] (numeric) = 1.7311856699473483817727737955255 absolute error = 0.3629260759148091265884877440613 relative error = 26.524650548598908845636715851459 % h = 0.001 y1[1] (analytic) = 1.3682595940325392551842860514642 y1[1] (numeric) = 1.3682595940325392880190037997112 absolute error = 3.28347177482470e-17 relative error = 2.3997432863946826020408128615619e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.888 y2[1] (analytic) = 1.3690350897909784676474441647341 y2[1] (numeric) = 1.732736345766325522887588841273 absolute error = 0.3637012559753470552401446765389 relative error = 26.566247913402733433028218474692 % h = 0.001 y1[1] (analytic) = 1.3690350897909784676474441647341 y1[1] (numeric) = 1.3690350897909785005128641323952 absolute error = 3.28654199676611e-17 relative error = 2.4006265590079890808131829400979e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2800.0MB, alloc=4.3MB, time=192.88 NO POLE NO POLE x[1] = 0.889 y2[1] (analytic) = 1.369811216514275308724703225707 y2[1] (numeric) = 1.7342882839029060525752238393162 absolute error = 0.3644770673886307438505206136092 relative error = 26.60783201323949691031605432594 % h = 0.001 y1[1] (analytic) = 1.369811216514275308724703225707 y1[1] (numeric) = 1.3698112165142753416207877090601 absolute error = 3.28960844833531e-17 relative error = 2.4015049728577162480174114270012e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2803.8MB, alloc=4.3MB, time=193.15 NO POLE NO POLE x[1] = 0.89 y2[1] (analytic) = 1.3705879734263031197964469426198 y2[1] (numeric) = 1.7358414828051519635833228394584 absolute error = 0.3652535093788488437868758968386 relative error = 26.649402771699471812306662171081 % h = 0.001 y1[1] (analytic) = 1.3705879734263031197964469426198 y1[1] (numeric) = 1.3705879734263031527231582072781 absolute error = 3.29267112646583e-17 relative error = 2.4023785341079222617531153680271e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2807.6MB, alloc=4.3MB, time=193.41 NO POLE NO POLE x[1] = 0.891 y2[1] (analytic) = 1.3713653597503050535646047550548 y2[1] (numeric) = 1.7373959409198644830992123729852 absolute error = 0.3660305811695594295346076179304 relative error = 26.690960112643169584724284603363 % h = 0.001 y1[1] (analytic) = 1.3713653597503050535646047550548 y1[1] (numeric) = 1.371365359750305086521905036005 absolute error = 3.29573002809502e-17 relative error = 2.4032472489279579681756563016618e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2811.4MB, alloc=4.3MB, time=193.68 NO POLE NO POLE x[1] = 0.892 y2[1] (analytic) = 1.3721433747088948508094344022757 y2[1] (numeric) = 1.7389516566925856259485448321113 absolute error = 0.3668082819836907751391104298356 relative error = 26.732503960200986334596948934934 % h = 0.001 y1[1] (analytic) = 1.3721433747088948508094344022757 y1[1] (numeric) = 1.3721433747088948837972859039153 absolute error = 3.29878515016396e-17 relative error = 2.4041111234923312057494963667707e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2815.2MB, alloc=4.3MB, time=193.94 NO POLE NO POLE x[1] = 0.893 y2[1] (analytic) = 1.3729220175240576177757163607833 y2[1] (numeric) = 1.7405086285675997490531541061667 absolute error = 0.3675866110435421312774377453834 relative error = 26.774034238772846867621477587099 % h = 0.001 y1[1] (analytic) = 1.3729220175240576177757163607833 y1[1] (numeric) = 1.3729220175240576507940812569587 absolute error = 3.30183648961754e-17 relative error = 2.4049701639806953908312207044186e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2819.1MB, alloc=4.3MB, time=194.20 NO POLE NO POLE x[1] = 0.894 y2[1] (analytic) = 1.373701287417150604187582764963 y2[1] (numeric) = 1.7420668549879351071465690167974 absolute error = 0.3683655675707845029589862518344 relative error = 26.815550873027847026827599027073 % h = 0.001 y1[1] (analytic) = 1.373701287417150604187582764963 y1[1] (numeric) = 1.373701287417150637236423199007 absolute error = 3.30488404340440e-17 relative error = 2.4058243765777362249362023726788e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2822.9MB, alloc=4.3MB, time=194.46 NO POLE NO POLE x[1] = 0.895 y2[1] (analytic) = 1.3744811836089039818912027960585 y2[1] (numeric) = 1.7436263343953654097456288367949 absolute error = 0.3691451507864614278544260407364 relative error = 26.857053787903894346818214484633 % h = 0.001 y1[1] (analytic) = 1.3744811836089039818912027960585 y1[1] (numeric) = 1.3744811836089040149704808808286 absolute error = 3.30792780847701e-17 relative error = 2.4066737674731606419325493113732e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2826.7MB, alloc=4.3MB, time=194.72 NO POLE NO POLE x[1] = 0.896 y2[1] (analytic) = 1.3752617053194216241245458968532 y2[1] (numeric) = 1.7451870652304113793766439210709 absolute error = 0.3699253599109897552520980242177 relative error = 26.898542908607347037819726756677 % h = 0.001 y1[1] (analytic) = 1.3752617053194216241245458968532 y1[1] (numeric) = 1.375261705319421657234223714769 absolute error = 3.31096778179158e-17 relative error = 2.4075183428615621786789478519706e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2830.5MB, alloc=4.3MB, time=194.98 NO POLE NO POLE x[1] = 0.897 y2[1] (analytic) = 1.3760428517681818854134435423582 y2[1] (numeric) = 1.7467490459323423110545432237443 absolute error = 0.3707061941641604256410996813861 relative error = 26.940018160612651313733057836337 % h = 0.001 y1[1] (analytic) = 1.3760428517681818854134435423582 y1[1] (numeric) = 1.3760428517681819185534831454398 absolute error = 3.31400396030816e-17 relative error = 2.4083581089424248802858339119869e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2834.3MB, alloc=4.3MB, time=195.24 NO POLE NO POLE x[1] = 0.898 y2[1] (analytic) = 1.3768246221740383820931696705131 y2[1] (numeric) = 1.748312274939177633013449222325 absolute error = 0.3714876527651392509202795518119 relative error = 26.981479469661977078332574336698 % h = 0.001 y1[1] (analytic) = 1.3768246221740383820931696705131 y1[1] (numeric) = 1.3768246221740384152635330804188 absolute error = 3.31703634099057e-17 relative error = 2.4091930719200037196988544227795e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2838.1MB, alloc=4.3MB, time=195.50 NO POLE NO POLE x[1] = 0.899 y2[1] (analytic) = 1.3776070157552207734547592513822 y2[1] (numeric) = 1.7498767506876884686871195185477 absolute error = 0.3722697349324676952323602671655 relative error = 27.022926761764851983716606156249 % h = 0.001 y1[1] (analytic) = 1.3776070157552207734547592513822 y1[1] (numeric) = 1.3776070157552208066554084594463 absolute error = 3.32006492080641e-17 relative error = 2.4100232380032634968479976866695e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2841.9MB, alloc=4.3MB, time=195.77 NO POLE NO POLE x[1] = 0.9 y2[1] (analytic) = 1.3783900317293355435152838485929 y2[1] (numeric) = 1.7514424716133991999376931355459 absolute error = 0.373052439884063656422409286953 relative error = 27.064359963197793875069586977798 % h = 0.001 y1[1] (analytic) = 1.3783900317293355435152838485929 y1[1] (numeric) = 1.3783900317293355767461808158641 absolute error = 3.32308969672712e-17 relative error = 2.4108486134058542216840603949192e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2845.8MB, alloc=4.3MB, time=196.03 NO POLE NO POLE x[1] = 0.901 y2[1] (analytic) = 1.3791736693133667834113024028072 y2[1] (numeric) = 1.7530094361505890315311782827488 absolute error = 0.3738357668372222481198758799416 relative error = 27.105779000503941635752067415722 % h = 0.001 y1[1] (analytic) = 1.3791736693133667834113024028072 y1[1] (numeric) = 1.3791736693133668166724090600864 absolute error = 3.32611066572792e-17 relative error = 2.4116692043459995746061471217536e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.902 y2[1] (analytic) = 1.3799579277236769744147048438388 y2[1] (numeric) = 1.7545776427322935568581171131448 absolute error = 0.374619715008616582443412269306 relative error = 27.147183800492684446690955326811 % h = 0.001 y1[1] (analytic) = 1.3799579277236769744147048438388 y1[1] (numeric) = 1.3799579277236770077059830917172 absolute error = 3.32912782478784e-17 relative error = 2.4124850170464509691120580975335e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2849.6MB, alloc=4.3MB, time=196.29 NO POLE NO POLE x[1] = 0.903 y2[1] (analytic) = 1.380742806176007771570165515639 y2[1] (numeric) = 1.7561470897903063248978617523761 absolute error = 0.3754042836142985533276962367371 relative error = 27.188574290239289473998325360157 % h = 0.001 y1[1] (analytic) = 1.380742806176007771570165515639 y1[1] (numeric) = 1.3807428061760078048915772245362 absolute error = 3.33214117088972e-17 relative error = 2.4132960577344200471895120099353e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2853.4MB, alloc=4.3MB, time=196.55 NO POLE NO POLE x[1] = 0.904 y2[1] (analytic) = 1.3815283038854807879534227767624 y2[1] (numeric) = 1.7577177757551804084248946355204 absolute error = 0.376189471869699620471471858758 relative error = 27.229950397084527998703013614115 % h = 0.001 y1[1] (analytic) = 1.3815283038854807879534227767624 y1[1] (numeric) = 1.3815283038854808213049297869645 absolute error = 3.33515070102021e-17 relative error = 2.4141023326415114090445083985182e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2857.2MB, alloc=4.3MB, time=196.82 NO POLE NO POLE x[1] = 0.905 y2[1] (analytic) = 1.3823144200665983795496005180982 y2[1] (numeric) = 1.7592896990562299734556249453686 absolute error = 0.3769752789896315939060244272704 relative error = 27.271312048634300002434975648978 % h = 0.001 y1[1] (analytic) = 1.3823144200665983795496005180982 y1[1] (numeric) = 1.3823144200665984129311646397962 absolute error = 3.33815641216980e-17 relative error = 2.4149038480036772798440895242221e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2861.0MB, alloc=4.3MB, time=197.08 NO POLE NO POLE x[1] = 0.906 y2[1] (analytic) = 1.3831011539332444307507867196122 y2[1] (numeric) = 1.7608628581215318499340917055339 absolute error = 0.3777617041882874191833049859217 relative error = 27.312659172759257222858039417597 % h = 0.001 y1[1] (analytic) = 1.3831011539332444307507867196122 y1[1] (numeric) = 1.3831011539332444641623697329397 absolute error = 3.34115830133275e-17 relative error = 2.4157006100611000353198320960202e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2864.8MB, alloc=4.3MB, time=197.34 NO POLE NO POLE x[1] = 0.907 y2[1] (analytic) = 1.3838885046986851404720835485838 y2[1] (numeric) = 1.7624372513779271036550028428197 absolute error = 0.3785487466792419631829192942359 relative error = 27.353991697594424692602231252791 % h = 0.001 y1[1] (analytic) = 1.3838885046986851404720835485838 y1[1] (numeric) = 1.3838885046986851739136472036557 absolute error = 3.34415636550719e-17 relative error = 2.4164926250581979766279343447656e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2868.6MB, alloc=4.3MB, time=197.60 NO POLE NO POLE x[1] = 0.908 y2[1] (analytic) = 1.3846764715755698088853428833566 y2[1] (numeric) = 1.7640128772510226094225382959382 absolute error = 0.3793364056754528005371954125816 relative error = 27.395309551538820775402295205975 % h = 0.001 y1[1] (analytic) = 1.3846764715755698088853428833566 y1[1] (numeric) = 1.3846764715755698423568489003071 absolute error = 3.34715060169505e-17 relative error = 2.4172798992435083201251514694532e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2872.5MB, alloc=4.3MB, time=197.86 NO POLE NO POLE x[1] = 0.909 y2[1] (analytic) = 1.3854650537759316247698005289301 y2[1] (numeric) = 1.7655897341651926254433440119076 absolute error = 0.3801246803892610006735434829775 relative error = 27.43661266325507571310436607109 % h = 0.001 y1[1] (analytic) = 1.3854650537759316247698005289301 y1[1] (numeric) = 1.3854650537759316582712105979511 absolute error = 3.35014100690210e-17 relative error = 2.4180624388696499896580545613987e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2876.3MB, alloc=4.3MB, time=198.13 NO POLE NO POLE x[1] = 0.91 y2[1] (analytic) = 1.3862542505111884534788217738253 y2[1] (numeric) = 1.7671678205435803689521424372655 absolute error = 0.3809135700323919154733206634402 relative error = 27.47790096166904869715799663956 % h = 0.001 y1[1] (analytic) = 1.3862542505111884534788217738253 y1[1] (numeric) = 1.3862542505111884870100975552046 absolute error = 3.35312757813793e-17 relative error = 2.4188402501932432620433009649030e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2880.1MB, alloc=4.3MB, time=198.72 NO POLE NO POLE x[1] = 0.911 y2[1] (analytic) = 1.3870440609921436255219703215436 y2[1] (numeric) = 1.7687471348080995930683838786189 absolute error = 0.3817030738159559675464135570753 relative error = 27.519174375969443478165882393261 % h = 0.001 y1[1] (analytic) = 1.3870440609921436255219703215436 y1[1] (numeric) = 1.3870440609921436590830734457032 absolute error = 3.35611031241596e-17 relative error = 2.4196133394748513244864759795526e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2883.9MB, alloc=4.3MB, time=199.34 NO POLE NO POLE x[1] = 0.912 y2[1] (analytic) = 1.387834484428986725761612014616 y2[1] (numeric) = 1.7703276753794361648823618760111 absolute error = 0.3824931909504494391207498613951 relative error = 27.560432835607422527018674215575 % h = 0.001 y1[1] (analytic) = 1.387834484428986725761612014616 y1[1] (numeric) = 1.3878344844289867593525040821507 absolute error = 3.35908920675347e-17 relative error = 2.4203817129789364520905536635109e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2887.7MB, alloc=4.3MB, time=199.96 NO POLE NO POLE x[1] = 0.913 y2[1] (analytic) = 1.3886255200312943832232641547054 y2[1] (numeric) = 1.7719094406770496447692145031213 absolute error = 0.3832839206457552615459503484159 relative error = 27.601676270296219761097224034882 % h = 0.001 y1[1] (analytic) = 1.3886255200312943832232641547054 y1[1] (numeric) = 1.388625520031294416843906736421 absolute error = 3.36206425817156e-17 relative error = 2.4211453769737659356381039373732e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2891.5MB, alloc=4.3MB, time=200.58 NO POLE NO POLE x[1] = 0.914 y2[1] (analytic) = 1.3894171670080310615189006084766 y2[1] (numeric) = 1.7734924291191748669292322804278 absolute error = 0.3840752621111438054103316719512 relative error = 27.642904610010751848979471846536 % h = 0.001 y1[1] (analytic) = 1.3894171670080310615189006084766 y1[1] (numeric) = 1.3894171670080310951692552454284 absolute error = 3.36503546369518e-17 relative error = 2.4219043377313687223721967598636e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2895.3MB, alloc=4.3MB, time=201.19 NO POLE NO POLE x[1] = 0.915 y2[1] (analytic) = 1.390209424567549849882422275997 y2[1] (numeric) = 1.7750766391228235211528921611579 absolute error = 0.3848672145552736712704698851609 relative error = 27.684117784987228107043957509679 % h = 0.001 y1[1] (analytic) = 1.390209424567549849882422275997 y1[1] (numeric) = 1.3902094245675498835624504795282 absolute error = 3.36800282035312e-17 relative error = 2.4226586015274634438003414340216e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2899.2MB, alloc=4.3MB, time=201.82 x[1] = 0.916 y2[1] (analytic) = 1.3910022919175932548165018862618 y2[1] (numeric) = 1.7766620691037857358090358251231 absolute error = 0.3856597771861924809925339388613 relative error = 27.725315725722759001316629294464 % h = 0.001 y1[1] (analytic) = 1.3910022919175932548165018862618 y1[1] (numeric) = 1.3910022919175932885261651380422 absolute error = 3.37096632517804e-17 relative error = 2.4234081746414154577994623598610e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.917 y2[1] (analytic) = 1.3917957682652939923500114730661 y2[1] (numeric) = 1.7782487174766316620546092923921 absolute error = 0.386452949211337669704597819326 relative error = 27.766498362974963267862225557007 % h = 0.001 y1[1] (analytic) = 1.3917957682652939923500114730661 y1[1] (numeric) = 1.3917957682652940260892712251302 absolute error = 3.37392597520641e-17 relative error = 2.4241530633561293856116554400815e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2903.0MB, alloc=4.3MB, time=202.44 NO POLE NO POLE x[1] = 0.918 y2[1] (analytic) = 1.3925898528171757809052402738607 y2[1] (numeric) = 1.7798365826547130592643796471955 absolute error = 0.3872467298375372783591393733348 relative error = 27.807665627761573664976028327021 % h = 0.001 y1[1] (analytic) = 1.3925898528171757809052402738607 y1[1] (numeric) = 1.3925898528171758146740579486467 absolute error = 3.37688176747860e-17 relative error = 2.4248932739580497425895833419586e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2906.8MB, alloc=4.3MB, time=203.06 NO POLE NO POLE x[1] = 0.919 y2[1] (analytic) = 1.3933845447791541347741101844421 y2[1] (numeric) = 1.7814256630501648816790434424761 absolute error = 0.388041118271010746904933258034 relative error = 27.848817451360041370386230173001 % h = 0.001 y1[1] (analytic) = 1.3933845447791541347741101844421 y1[1] (numeric) = 1.3933845447791541685724471748302 absolute error = 3.37983369903881e-17 relative error = 2.4256288127370467524926946514401e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2910.6MB, alloc=4.3MB, time=203.70 NO POLE NO POLE x[1] = 0.92 y2[1] (analytic) = 1.3941798433565371582025952933256 y2[1] (numeric) = 1.7830159570739068662701401371099 absolute error = 0.3888361137173697080675448437843 relative error = 27.889953765307139036631520618878 % h = 0.001 y1[1] (analytic) = 1.3941798433565371582025952933256 y1[1] (numeric) = 1.3941798433565371920304129626768 absolute error = 3.38278176693512e-17 relative error = 2.4263596859863886389448190549484e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2914.4MB, alloc=4.3MB, time=204.32 NO POLE NO POLE x[1] = 0.921 y2[1] (analytic) = 1.3949757477540263400825514114488 y2[1] (numeric) = 1.7846074631356451218201827010156 absolute error = 0.3896317153816187817376312895668 relative error = 27.931074501398562517732787763514 % h = 0.001 y1[1] (analytic) = 1.3949757477540263400825514114488 y1[1] (numeric) = 1.3949757477540263739398110936432 absolute error = 3.38572596821944e-17 relative error = 2.4270859000026423411037570092291e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2918.2MB, alloc=4.3MB, time=204.96 NO POLE NO POLE x[1] = 0.922 y2[1] (analytic) = 1.3957722571757173492501609054418 y2[1] (numeric) = 1.7862001796438737192164163081552 absolute error = 0.3904279224681563699662554027134 relative error = 27.972179591688531280232046729409 % h = 0.001 y1[1] (analytic) = 1.3957722571757173492501609054418 y1[1] (numeric) = 1.3957722571757173831368239049177 absolute error = 3.38866629994759e-17 relative error = 2.4278074610856677232611475333760e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2922.1MB, alloc=4.3MB, time=205.59 NO POLE NO POLE x[1] = 0.923 y2[1] (analytic) = 1.3965693708251008303901975360864 y2[1] (numeric) = 1.7877941050058762829566148237991 absolute error = 0.3912247341807754525664172877127 relative error = 28.013268968489387511625851252921 % h = 0.001 y1[1] (analytic) = 1.3965693708251008303901975360864 y1[1] (numeric) = 1.3965693708251008643062251278787 absolute error = 3.39160275917923e-17 relative error = 2.4285243755385044146574287841116e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2925.9MB, alloc=4.3MB, time=206.21 NO POLE NO POLE x[1] = 0.924 y2[1] (analytic) = 1.3973670879050632005453153977649 y2[1] (numeric) = 1.789389237627727583865323580392 absolute error = 0.3920221497226643833200081826271 relative error = 28.054342564371193939174520226679 % h = 0.001 y1[1] (analytic) = 1.3973670879050632005453153977649 y1[1] (numeric) = 1.3973670879050632344906688275439 absolute error = 3.39453534297790e-17 relative error = 2.4292366496673377730486793623509e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2929.7MB, alloc=4.3MB, time=206.84 NO POLE NO POLE x[1] = 0.925 y2[1] (analytic) = 1.3981654076178874462295654496762 y2[1] (numeric) = 1.7909855759142951330189557259097 absolute error = 0.3928201682964076867893902762335 relative error = 28.09540031216133037202251940233 % h = 0.001 y1[1] (analytic) = 1.3981654076178874462295654496762 y1[1] (numeric) = 1.3981654076178874802042059337864 absolute error = 3.39746404841102e-17 relative error = 2.4299442897814363735769591439672e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2933.5MB, alloc=4.3MB, time=207.45 NO POLE NO POLE x[1] = 0.926 y2[1] (analytic) = 1.3989643291652539211453425253694 y2[1] (numeric) = 1.7925831182692407768781482197429 absolute error = 0.3936187891039868557328056943735 relative error = 28.136442144944088979519281832564 % h = 0.001 y1[1] (analytic) = 1.3989643291652539211453425253694 y1[1] (numeric) = 1.3989643291652539551492312508681 absolute error = 3.40038887254987e-17 relative error = 2.4306473021930754335847300709611e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2937.3MB, alloc=4.3MB, time=208.08 NO POLE NO POLE x[1] = 0.927 y2[1] (analytic) = 1.3997638517482411445029651037137 y2[1] (numeric) = 1.7941818630950222936257823438852 absolute error = 0.3944180113467811491228172401715 relative error = 28.177467996060268318583631035974 % h = 0.001 y1[1] (analytic) = 1.3997638517482411445029651037137 y1[1] (numeric) = 1.3997638517482411785360632284102 absolute error = 3.40330981246965e-17 relative error = 2.4313456932175176710036138076086e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2941.1MB, alloc=4.3MB, time=208.70 NO POLE NO POLE x[1] = 0.928 y2[1] (analytic) = 1.4005639745673265999420895217925 y2[1] (numeric) = 1.7957818087928949907090723915377 absolute error = 0.3952178342255683907669828697452 relative error = 28.218477799106766122908790353227 % h = 0.001 y1[1] (analytic) = 1.4005639745673265999420895217925 y1[1] (numeric) = 1.4005639745673266340043581742866 absolute error = 3.40622686524941e-17 relative error = 2.4320394691729014279423223186731e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2944.9MB, alloc=4.3MB, time=209.32 NO POLE NO POLE x[1] = 0.929 y2[1] (analytic) = 1.4013646968223875350541597083728 y2[1] (numeric) = 1.797382953762913303584124991175 absolute error = 0.3960182569405257685299652828022 relative error = 28.259471487936170866758722562547 % h = 0.001 y1[1] (analytic) = 1.4013646968223875350541597083728 y1[1] (numeric) = 1.4013646968223875691455599880937 absolute error = 3.40914002797209e-17 relative error = 2.4327286363802076923961653730470e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2948.8MB, alloc=4.3MB, time=209.94 NO POLE NO POLE x[1] = 0.93 y2[1] (analytic) = 1.402166017712701761505092915567 y2[1] (numeric) = 1.7989852964039323956613703216457 absolute error = 0.3968192786912306341562774060787 relative error = 28.300448996656352116060247555794 % h = 0.001 y1[1] (analytic) = 1.402166017712701761505092915567 y1[1] (numeric) = 1.4021660177127017956255858928124 absolute error = 3.41204929772454e-17 relative error = 2.4334132011632129899645336256067e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.931 y2[1] (analytic) = 1.4029679364369484557574013260696 y2[1] (numeric) = 1.8005888351136097594502652730104 absolute error = 0.3976208986766613036928639469408 relative error = 28.341410259630049679449034750959 % h = 0.001 y1[1] (analytic) = 1.4029679364369484557574013260696 y1[1] (numeric) = 1.4029679364369484899069480420444 absolute error = 3.41495467159748e-17 relative error = 2.4340931698483996916270962987289e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2952.6MB, alloc=4.3MB, time=210.56 NO POLE NO POLE x[1] = 0.932 y2[1] (analytic) = 1.4037704521932089603909488139114 y2[1] (numeric) = 1.8021935682884068189016674085471 absolute error = 0.3984231160951978585107185946357 relative error = 28.382355211474461571881162925895 % h = 0.001 y1[1] (analytic) = 1.4037704521932089603909488139114 y1[1] (numeric) = 1.4037704521932089945695102807668 absolute error = 3.41785614668554e-17 relative error = 2.4347685487649236400229842868521e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2956.4MB, alloc=4.3MB, time=211.18 NO POLE NO POLE x[1] = 0.933 y2[1] (analytic) = 1.4045735641789675860215415380431 y2[1] (numeric) = 1.8037994943235905329462773856832 absolute error = 0.3992259301446229469247358476401 relative error = 28.423283787060830803375485280717 % h = 0.001 y1[1] (analytic) = 1.4045735641789675860215415380431 y1[1] (numeric) = 1.4045735641789676202290787389156 absolute error = 3.42075372008725e-17 relative error = 2.4354393442445463110386914869790e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2960.2MB, alloc=4.3MB, time=211.81 NO POLE NO POLE x[1] = 0.934 y2[1] (analytic) = 1.4053772715911124138165504502244 y2[1] (numeric) = 1.8054066116132350002275462975459 absolute error = 0.4000293400221225864109958473215 relative error = 28.464195921514031005405533740271 % h = 0.001 y1[1] (analytic) = 1.4053772715911124138165504502244 y1[1] (numeric) = 1.4053772715911124480530243392746 absolute error = 3.42364738890502e-17 relative error = 2.4361055626215601152744442673449e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2964.0MB, alloc=4.4MB, time=212.43 NO POLE NO POLE x[1] = 0.935 y2[1] (analytic) = 1.4061815736259360986067632016613 y2[1] (numeric) = 1.8070149185502230650274432023574 absolute error = 0.4008333449242869664206800006961 relative error = 28.505091550212150907413145745853 % h = 0.001 y1[1] (analytic) = 1.4061815736259360986067632016613 y1[1] (numeric) = 1.4061815736259361328721347041134 absolute error = 3.42653715024521e-17 relative error = 2.4367672102327779822314657823479e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2967.8MB, alloc=4.4MB, time=213.05 NO POLE NO POLE x[1] = 0.936 y2[1] (analytic) = 1.4069864694791366725936623366093 y2[1] (numeric) = 1.8086244135262479243834769150402 absolute error = 0.4016379440471112517898145784309 relative error = 28.545970608786077675869400996456 % h = 0.001 y1[1] (analytic) = 1.4069864694791366725936623366093 y1[1] (numeric) = 1.4069864694791367068878923487896 absolute error = 3.42942300121803e-17 relative error = 2.4374242934174021785514608328084e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2971.6MB, alloc=4.4MB, time=213.70 NO POLE NO POLE x[1] = 0.937 y2[1] (analytic) = 1.4077919583458183496513260657285 y2[1] (numeric) = 1.8102350949318147363953649441464 absolute error = 0.4024431365859963867440388784179 relative error = 28.586833033119079128261816712378 % h = 0.001 y1[1] (analytic) = 1.4077919583458183496513260657285 y1[1] (numeric) = 1.4077919583458183839743754551051 absolute error = 3.43230493893766e-17 relative error = 2.4380768185170498738544990339577e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2975.5MB, alloc=4.4MB, time=214.32 NO POLE NO POLE x[1] = 0.938 y2[1] (analytic) = 1.4085980394204923302221473173594 y2[1] (numeric) = 1.8118469611562422297197412675739 absolute error = 0.4032489217357498994975939502145 relative error = 28.627678759346384834340069918815 % h = 0.001 y1[1] (analytic) = 1.4085980394204923302221473173594 y1[1] (numeric) = 1.4085980394204923645739769225807 absolute error = 3.43518296052213e-17 relative error = 2.4387247918756082617929189389837e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2979.3MB, alloc=4.4MB, time=214.94 NO POLE NO POLE x[1] = 0.939 y2[1] (analytic) = 1.409404711897077606805566171065 y2[1] (numeric) = 1.8134600105876643142512934524981 absolute error = 0.4040552986905867074457272814331 relative error = 28.668507723854766116905795886908 % h = 0.001 y1[1] (analytic) = 1.409404711897077606805566171065 y1[1] (numeric) = 1.4094047118970776411861368019994 absolute error = 3.43805706309344e-17 relative error = 2.4393682198392604884865054062563e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2983.1MB, alloc=4.4MB, time=215.56 NO POLE NO POLE x[1] = 0.94 y2[1] (analytic) = 1.410211974968901770039010184776 y2[1] (numeric) = 1.8150742416130316929887184385144 absolute error = 0.4048622666441299229497082537384 relative error = 28.709319863282114964385255108353 % h = 0.001 y1[1] (analytic) = 1.410211974968901770039010184776 y1[1] (numeric) = 1.4102119749689018044482826225508 absolute error = 3.44092724377748e-17 relative error = 2.4400071087563696955378325096052e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2986.9MB, alloc=4.4MB, time=216.18 NO POLE NO POLE x[1] = 0.941 y2[1] (analytic) = 1.4110198278287018153702365346646 y2[1] (numeric) = 1.8166896526181134750838851181711 absolute error = 0.4056698247894116597136485835065 relative error = 28.750115114517021867376868893248 % h = 0.001 y1[1] (analytic) = 1.4110198278287018153702365346646 y1[1] (numeric) = 1.4110198278287018498081715317053 absolute error = 3.44379349970407e-17 relative error = 2.4406414649774485325536923363528e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2990.7MB, alloc=4.4MB, time=216.80 NO POLE NO POLE x[1] = 0.942 y2[1] (analytic) = 1.4118282696686249503202692954725 y2[1] (numeric) = 1.8183062419874987900725906658639 absolute error = 0.4064779723188738397523213703914 relative error = 28.790893414698352591318797727472 % h = 0.001 y1[1] (analytic) = 1.4118282696686249503202692954725 y1[1] (numeric) = 1.4118282696686249847868275755421 absolute error = 3.44665582800696e-17 relative error = 2.4412712948551004695594524560659e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2994.5MB, alloc=4.4MB, time=217.43 NO POLE NO POLE x[1] = 0.943 y2[1] (analytic) = 1.4126372996802294023361245984231 y2[1] (numeric) = 1.819924008104598403285296384471 absolute error = 0.4072867084243690009491717860479 relative error = 28.831654701214823897374878753803 % h = 0.001 y1[1] (analytic) = 1.4126372996802294023361245984231 y1[1] (numeric) = 1.4126372996802294368312668566613 absolute error = 3.44951422582382e-17 relative error = 2.4418966047439542596902703721936e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=2998.3MB, alloc=4.4MB, time=218.05 NO POLE NO POLE x[1] = 0.944 y2[1] (analytic) = 1.41344691705448522723251581406 y2[1] (numeric) = 1.8215429493516463324362276591263 absolute error = 0.4080960322971611052037118450663 relative error = 28.872398911704578223590350983346 % h = 0.001 y1[1] (analytic) = 1.41344691705448522723251581406 y1[1] (numeric) = 1.4134469170544852617562027170224 absolute error = 3.45236869029624e-17 relative error = 2.4425174010006057301316452960270e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3002.2MB, alloc=4.4MB, time=218.67 x[1] = 0.945 y2[1] (analytic) = 1.4142571209817751182217303183736 y2[1] (numeric) = 1.8231630641097014653892214291671 absolute error = 0.4089059431279263471674911107935 relative error = 28.913125984054757338321880921792 % h = 0.001 y1[1] (analytic) = 1.4142571209817751182217303183736 y1[1] (numeric) = 1.4142571209817751527739225040712 absolute error = 3.45521921856976e-17 relative error = 2.4431336899835810143808061723843e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.946 y2[1] (analytic) = 1.4150679106518952155308688124071 y2[1] (numeric) = 1.824784350758649179098703412542 absolute error = 0.4097164401067539635678346001349 relative error = 28.953835856401074977899459015238 % h = 0.001 y1[1] (analytic) = 1.4150679106518952155308688124071 y1[1] (numeric) = 1.4150679106518952501115268903458 absolute error = 3.45806580779387e-17 relative error = 2.4437454780532787397333261657720e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3006.0MB, alloc=4.4MB, time=219.28 NO POLE NO POLE x[1] = 0.947 y2[1] (analytic) = 1.4158792852540559166056375781701 y2[1] (numeric) = 1.8264068076772029597241761418379 absolute error = 0.4105275224231470431185385636678 relative error = 28.994528467127388480430770478206 % h = 0.001 y1[1] (analytic) = 1.4158792852540559166056375781701 y1[1] (numeric) = 1.4158792852540559512147221293897 absolute error = 3.46090845512196e-17 relative error = 2.4443527715718771294198121581231e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3009.8MB, alloc=4.4MB, time=219.90 NO POLE NO POLE x[1] = 0.948 y2[1] (analytic) = 1.4166912439768826868998834671338 y2[1] (numeric) = 1.8280304332429060239165976975724 absolute error = 0.4113391892660233370167142304386 relative error = 29.035203754865269427611654442503 % h = 0.001 y1[1] (analytic) = 1.4166912439768826868998834671338 y1[1] (numeric) = 1.4166912439768827215373550442478 absolute error = 3.46374715771140e-17 relative error = 2.4449555769033332174580380198233e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3013.6MB, alloc=4.4MB, time=220.53 NO POLE NO POLE x[1] = 0.949 y2[1] (analytic) = 1.4175037860084168712500608318425 y2[1] (numeric) = 1.8296552258321329412750298525083 absolute error = 0.4121514398237160700249690206658 relative error = 29.075861658493573306359254727854 % h = 0.001 y1[1] (analytic) = 1.4175037860084168712500608318425 y1[1] (numeric) = 1.4175037860084169059158799590772 absolute error = 3.46658191272347e-17 relative error = 2.4455539004132762772635990435611e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3017.4MB, alloc=4.4MB, time=221.14 NO POLE NO POLE x[1] = 0.95 y2[1] (analytic) = 1.4183169105361165058338190262395 y2[1] (numeric) = 1.8312811838200912579719331704773 absolute error = 0.4129642732839747521381141442378 relative error = 29.116502117138008202037435639846 % h = 0.001 y1[1] (analytic) = 1.4183169105361165058338190262395 y1[1] (numeric) = 1.4183169105361165405279461994738 absolute error = 3.46941271732343e-17 relative error = 2.4461477484690003564418729904266e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3021.2MB, alloc=4.4MB, time=221.77 NO POLE NO POLE x[1] = 0.951 y2[1] (analytic) = 1.4191306167468571307118985161905 y2[1] (numeric) = 1.8329083055808231215454854345526 absolute error = 0.4137776888339659908335869183621 relative error = 29.157125070170702534996988788101 % h = 0.001 y1[1] (analytic) = 1.4191306167468571307118985161905 y1[1] (numeric) = 1.4191306167468571654342942029951 absolute error = 3.47223956868046e-17 relative error = 2.4467371274393652637498752120233e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3025.0MB, alloc=4.4MB, time=222.39 NO POLE NO POLE x[1] = 0.952 y2[1] (analytic) = 1.419944903826932602952523058373 y2[1] (numeric) = 1.834536589487206906857298612388 absolute error = 0.414591685660274303904775554015 relative error = 29.197730457209771852106093718877 % h = 0.001 y1[1] (analytic) = 1.419944903826932602952523058373 y1[1] (numeric) = 1.4199449038269326377031476980502 absolute error = 3.47506246396772e-17 relative error = 2.4473220436947824391355170672407e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3028.9MB, alloc=4.4MB, time=223.03 NO POLE NO POLE x[1] = 0.953 y2[1] (analytic) = 1.4207597709620559103374748232099 y2[1] (numeric) = 1.8361660339109588432139084011416 absolute error = 0.4154062629489029328764335779317 relative error = 29.238318218118884684899417885291 % h = 0.001 y1[1] (analytic) = 1.4207597709620559103374748232099 y1[1] (numeric) = 1.4207597709620559451162888268331 absolute error = 3.47788140036232e-17 relative error = 2.4479025036071375588533531806593e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3032.7MB, alloc=4.4MB, time=223.66 NO POLE NO POLE x[1] = 0.954 y2[1] (analytic) = 1.4215752173373599856490387558386 y2[1] (numeric) = 1.8377966372226346426504092306305 absolute error = 0.4162214198852746570013704747919 relative error = 29.27888829300682748592715184033 % h = 0.001 y1[1] (analytic) = 1.4215752173373599856490387558386 y1[1] (numeric) = 1.4215752173373600204560025062918 absolute error = 3.48069637504532e-17 relative error = 2.4484785135497345433863748973596e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3036.5MB, alloc=4.4MB, time=224.28 NO POLE NO POLE x[1] = 0.955 y2[1] (analytic) = 1.4223912421373985215370018882395 y2[1] (numeric) = 1.839428397791631129374606441217 absolute error = 0.4170371556542326078376045529775 relative error = 29.319440622227068654838175221377 % h = 0.001 y1[1] (analytic) = 1.4223912421373985215370018882395 y1[1] (numeric) = 1.4223912421373985563720757402568 absolute error = 3.48350738520173e-17 relative error = 2.4490500798972397918153400042689e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3040.3MB, alloc=4.4MB, time=224.90 NO POLE NO POLE x[1] = 0.956 y2[1] (analytic) = 1.4232078445461467859648927355918 y2[1] (numeric) = 1.8410613139861878703700561924096 absolute error = 0.4178534694400410844051634568178 relative error = 29.359975146377321665684439778327 % h = 0.001 y1[1] (analytic) = 1.4232078445461467859648927355918 y1[1] (numeric) = 1.4232078445461468208280370157974 absolute error = 3.48631442802056e-17 relative error = 2.4496172090256617742800636148757e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3044.1MB, alloc=4.4MB, time=225.53 NO POLE NO POLE x[1] = 0.957 y2[1] (analytic) = 1.4240250237470024382346453306867 y2[1] (numeric) = 1.8426953841733888071563624992754 absolute error = 0.4186703604263863689217171685887 relative error = 29.400491806299107306886539044449 % h = 0.001 y1[1] (analytic) = 1.4240250237470024382346453306867 y1[1] (numeric) = 1.4240250237470024731258203376343 absolute error = 3.48911750069476e-17 relative error = 2.4501799073122534835711305797083e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3047.9MB, alloc=4.4MB, time=226.15 NO POLE NO POLE x[1] = 0.958 y2[1] (analytic) = 1.4248427789227863455888718718004 y2[1] (numeric) = 1.8443306067191638887050996365024 absolute error = 0.419487827796377543116227764702 relative error = 29.440990543077315045253311912016 % h = 0.001 y1[1] (analytic) = 1.4248427789227863455888718718004 y1[1] (numeric) = 1.4248427789227863805080378760131 absolute error = 3.49191660042127e-17 relative error = 2.4507381811354924591089587456686e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3051.8MB, alloc=4.4MB, time=226.77 NO POLE NO POLE x[1] = 0.959 y2[1] (analytic) = 1.4256611092557434003899273818234 y2[1] (numeric) = 1.8459669799882907055097269943255 absolute error = 0.4203058707325473051197996125021 relative error = 29.481471298039763525401200991505 % h = 0.001 y1[1] (analytic) = 1.4256611092557434003899273818234 y1[1] (numeric) = 1.425661109255743435337044625833 absolute error = 3.49471172440096e-17 relative error = 2.4512920368749837582480061835633e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.96 y2[1] (analytic) = 1.4264800139275433378749491996481 y2[1] (numeric) = 1.8476045023443961248078623165375 absolute error = 0.4211244884168527869329131168894 relative error = 29.521934012756760215871957830562 % h = 0.001 y1[1] (analytic) = 1.4264800139275433378749491996481 y1[1] (numeric) = 1.4264800139275433728499778980355 absolute error = 3.49750286983874e-17 relative error = 2.4518414809114824722434474128806e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3055.6MB, alloc=4.4MB, time=227.39 NO POLE NO POLE x[1] = 0.961 y2[1] (analytic) = 1.4272994921192815544860535488458 y2[1] (numeric) = 1.8492431721499579269542780984482 absolute error = 0.4219436800306763724682245496024 relative error = 29.562378629040660213200157459213 % h = 0.001 y1[1] (analytic) = 1.4272994921192815544860535488458 y1[1] (numeric) = 1.4272994921192815894889538882802 absolute error = 3.50029003394344e-17 relative error = 2.4523865196267550578924174280523e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3059.4MB, alloc=4.4MB, time=228.01 NO POLE NO POLE x[1] = 0.962 y2[1] (analytic) = 1.4281195430114799267748708535018 y2[1] (numeric) = 1.8508829877663064429429847719315 absolute error = 0.4227634447548265161681139184297 relative error = 29.602805088945424215134855912845 % h = 0.001 y1[1] (analytic) = 1.4281195430114799267748708535018 y1[1] (numeric) = 1.4281195430114799618056029927809 absolute error = 3.50307321392791e-17 relative error = 2.4529271594035952323817157938112e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3063.2MB, alloc=4.4MB, time=228.64 NO POLE NO POLE x[1] = 0.963 y2[1] (analytic) = 1.4289401657840876308806008967442 y2[1] (numeric) = 1.8525239475536261930767631556138 absolute error = 0.4235837817695385621961622588696 relative error = 29.643213334766175674172597950216 % h = 0.001 y1[1] (analytic) = 1.4289401657840876308806008967442 y1[1] (numeric) = 1.4289401657840876659391249668338 absolute error = 3.50585240700896e-17 relative error = 2.4534634066257278799680073752894e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3067.0MB, alloc=4.4MB, time=229.26 NO POLE NO POLE x[1] = 0.964 y2[1] (analytic) = 1.4297613596164819625807683439772 y2[1] (numeric) = 1.8541660498709575267825075008077 absolute error = 0.4244046902544755642017391568305 relative error = 29.6836033090387571425118597073 % h = 0.001 y1[1] (analytic) = 1.4297613596164819625807683439772 y1[1] (numeric) = 1.4297613596164819976670444480512 absolute error = 3.50862761040740e-17 relative error = 2.4539952676777832692973780518821e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3070.8MB, alloc=4.4MB, time=229.88 NO POLE NO POLE x[1] = 0.965 y2[1] (analytic) = 1.4305831236874691579138585801337 y2[1] (numeric) = 1.8558092930761982635707393179847 absolute error = 0.425226169388729105656880737851 relative error = 29.723974954539285819491894069763 % h = 0.001 y1[1] (analytic) = 1.4305831236874691579138585801337 y1[1] (numeric) = 1.4305831236874691930278467936141 absolute error = 3.51139882134804e-17 relative error = 2.4545227489452434374218492584991e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3074.6MB, alloc=4.4MB, time=230.51 NO POLE NO POLE x[1] = 0.966 y2[1] (analytic) = 1.4314054571752852143730132383785 y2[1] (numeric) = 1.85745367552610533513765102441 absolute error = 0.4260482183508201207646377860315 relative error = 29.764328214283708312531836658706 % h = 0.001 y1[1] (analytic) = 1.4314054571752852143730132383785 y1[1] (numeric) = 1.4314054571752852495146736089751 absolute error = 3.51416603705966e-17 relative error = 2.4550458568143678389600519523904e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3078.5MB, alloc=4.4MB, time=231.13 NO POLE NO POLE x[1] = 0.967 y2[1] (analytic) = 1.4322283592575967126699642266353 y2[1] (numeric) = 1.8590991955762964286080373110323 absolute error = 0.426870836318699715938073084397 relative error = 29.804663031527354622538829042159 % h = 0.001 y1[1] (analytic) = 1.4322283592575967126699642266353 y1[1] (numeric) = 1.4322283592575967478392567743857 absolute error = 3.51692925477504e-17 relative error = 2.4555645976721611835441306106358e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3082.3MB, alloc=4.4MB, time=231.76 NO POLE NO POLE x[1] = 0.968 y2[1] (analytic) = 1.4330518291115016390683844880724 y2[1] (numeric) = 1.8607458515812516309174709858341 absolute error = 0.4276940224697499918490864977617 relative error = 29.844979349764491364706824634072 % h = 0.001 y1[1] (analytic) = 1.4330518291115016390683844880724 y1[1] (numeric) = 1.433051829111501674265269205382 absolute error = 3.51968847173096e-17 relative error = 2.4560789779063204896004098211725e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3086.1MB, alloc=4.4MB, time=232.38 NO POLE NO POLE x[1] = 0.969 y2[1] (analytic) = 1.4338758659135302082858331622636 y2[1] (numeric) = 1.8623936418943150743320789116042 absolute error = 0.4285177759807848660462457493406 relative error = 29.885277112727874235580663235431 % h = 0.001 y1[1] (analytic) = 1.4338758659135302082858331622636 y1[1] (numeric) = 1.4338758659135302435102700139458 absolute error = 3.52244368516822e-17 relative error = 2.4565890039051963090192599065559e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3089.9MB, alloc=4.4MB, time=233.02 NO POLE NO POLE x[1] = 0.97 y2[1] (analytic) = 1.4347004688396456869634722451501 y2[1] (numeric) = 1.8640425648676965831042725184931 absolute error = 0.429342096028050896140800273343 relative error = 29.925556264388299737212933807768 % h = 0.001 y1[1] (analytic) = 1.4347004688396456869634722451501 y1[1] (numeric) = 1.434700468839645722215421168466 absolute error = 3.52519489233159e-17 relative error = 2.4570946820577053354312864015720e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3093.7MB, alloc=4.4MB, time=233.64 NO POLE NO POLE x[1] = 0.971 y2[1] (analytic) = 1.4355256370652452177027312781524 y2[1] (numeric) = 1.8656926188524733212627862357581 absolute error = 0.4301669817872281035600549576057 relative error = 29.965816748954156169194093336409 % h = 0.001 y1[1] (analytic) = 1.4355256370652452177027312781524 y1[1] (numeric) = 1.435525637065245252982152182851 absolute error = 3.52794209046986e-17 relative error = 2.4575960187533130157055317232071e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3097.5MB, alloc=4.4MB, time=234.27 NO POLE NO POLE x[1] = 0.972 y2[1] (analytic) = 1.4363513697651606436680960298383 y2[1] (numeric) = 1.8673438021985914415353760527971 absolute error = 0.4309924324334307978672800229588 relative error = 30.006058510870973899289274012489 % h = 0.001 y1[1] (analytic) = 1.4363513697651606436680960298383 y1[1] (numeric) = 1.4363513697651606789749487981968 absolute error = 3.53068527683585e-17 relative error = 2.4580930203819884146526430129614e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3101.3MB, alloc=4.4MB, time=234.89 NO POLE NO POLE x[1] = 0.973 y2[1] (analytic) = 1.4371776661136593337551965674268 y2[1] (numeric) = 1.86899611325486773540252928691 absolute error = 0.4318184471412084016473327194832 relative error = 30.046281494820974923368192903223 % h = 0.001 y1[1] (analytic) = 1.4371776661136593337551965674268 y1[1] (numeric) = 1.4371776661136593690894410542904 absolute error = 3.53342444868636e-17 relative error = 2.4585856933341175287339778206725e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3105.2MB, alloc=4.4MB, time=235.52 x[1] = 0.974 y2[1] (analytic) = 1.4380045252844450083233695501071 y2[1] (numeric) = 1.8706495503689912842805355042151 absolute error = 0.432645025084546275957165954108 relative error = 30.086485645722621725267579238538 % h = 0.001 y1[1] (analytic) = 1.4380045252844450083233695501071 y1[1] (numeric) = 1.4380045252844450436849655829294 absolute error = 3.53615960328223e-17 relative error = 2.4590740440004934359205146627248e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.975 y2[1] (analytic) = 1.4388319464506585654918690116816 y2[1] (numeric) = 1.8723041118875251118322674107879 absolute error = 0.4334721654368665463403983991063 relative error = 30.126670908730165447178555856764 % h = 0.001 y1[1] (analytic) = 1.4388319464506585654918690116816 y1[1] (numeric) = 1.4388319464506586008807763905646 absolute error = 3.53889073788830e-17 relative error = 2.4595580787722370215406423153281e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3109.0MB, alloc=4.4MB, time=236.14 NO POLE NO POLE x[1] = 0.976 y2[1] (analytic) = 1.4396599287848789079988993363884 y2[1] (numeric) = 1.873959796155907837404019403378 absolute error = 0.4342998673710289294051200669896 relative error = 30.166837229233193381104454649141 % h = 0.001 y1[1] (analytic) = 1.4396599287848789079988993363884 y1[1] (numeric) = 1.4396599287848789434150778341228 absolute error = 3.54161784977344e-17 relative error = 2.4600378040407666432794347830414e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3112.8MB, alloc=4.4MB, time=236.76 NO POLE NO POLE x[1] = 0.977 y2[1] (analytic) = 1.4404884714591237706226435689417 y2[1] (numeric) = 1.8756166015184553305867503430043 absolute error = 0.4351281300593315599641067740626 relative error = 30.206984552856175791887612434733 % h = 0.001 y1[1] (analytic) = 1.4404884714591237706226435689417 y1[1] (numeric) = 1.4404884714591238060660529310469 absolute error = 3.54434093621052e-17 relative error = 2.4605132261977262919178298670594e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3116.6MB, alloc=4.4MB, time=237.38 NO POLE NO POLE x[1] = 0.978 y2[1] (analytic) = 1.4413175736448505481634596378282 y2[1] (numeric) = 1.8772745263183623669000759903232 absolute error = 0.435956952673511818736616352495 relative error = 30.24711282545801208225678498646 % h = 0.001 y1[1] (analytic) = 1.4413175736448505481634596378282 y1[1] (numeric) = 1.4413175736448505836340595825929 absolute error = 3.54705999447647e-17 relative error = 2.4609843516349764867721411634511e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3120.4MB, alloc=4.4MB, time=238.00 NO POLE NO POLE x[1] = 0.979 y2[1] (analytic) = 1.4421472345129571239864165097351 y2[1] (numeric) = 1.8789335688977042845973554189155 absolute error = 0.4367863343847471606109389091804 relative error = 30.287221993131576310299934302975 % h = 0.001 y1[1] (analytic) = 1.4421472345129571239864165097351 y1[1] (numeric) = 1.4421472345129571594841667282574 absolute error = 3.54977502185223e-17 relative error = 2.4614511867445089718312248645549e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3124.2MB, alloc=4.4MB, time=238.62 NO POLE NO POLE x[1] = 0.98 y2[1] (analytic) = 1.4429774532337826991233417326401 y2[1] (numeric) = 1.8805937275974386425902146015434 absolute error = 0.4376162743636559434668728689033 relative error = 30.327312002203262069720289058735 % h = 0.001 y1[1] (analytic) = 1.4429774532337826991233417326401 y1[1] (numeric) = 1.4429774532337827346482018888678 absolute error = 3.55248601562277e-17 relative error = 2.4619137379184102617718439854017e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3128.0MB, alloc=4.4MB, time=239.24 NO POLE NO POLE x[1] = 0.981 y2[1] (analytic) = 1.4438082289771086219335512655861 y2[1] (numeric) = 1.8822550007574068794908492449924 absolute error = 0.4384467717802982575572979794063 relative error = 30.367382799232526743186751829127 % h = 0.001 y1[1] (analytic) = 1.4438082289771086219335512655861 y1[1] (numeric) = 1.4438082289771086574854809963571 absolute error = 3.55519297307710e-17 relative error = 2.4623720115488184329060267961838e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3131.9MB, alloc=4.4MB, time=239.88 NO POLE NO POLE x[1] = 0.982 y2[1] (analytic) = 1.4446395609121592183224319344801 y2[1] (numeric) = 1.8839173867163359737704478313333 absolute error = 0.4392778258041767554480158968532 relative error = 30.407434331011435139042930532726 % h = 0.001 y1[1] (analytic) = 1.4446395609121592183224319344801 y1[1] (numeric) = 1.4446395609121592539013908495628 absolute error = 3.55789589150827e-17 relative error = 2.4628260140278731867069903636166e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3135.7MB, alloc=4.4MB, time=240.50 NO POLE NO POLE x[1] = 0.983 y2[1] (analytic) = 1.4454714482076026225170462954026 y2[1] (numeric) = 1.8855808838118401050320747073201 absolute error = 0.4401094356042374825150284119175 relative error = 30.44746654456420252159230689949 % h = 0.001 y1[1] (analytic) = 1.4454714482076026225170462954026 y1[1] (numeric) = 1.445471448207602658122993977536 absolute error = 3.56059476821334e-17 relative error = 2.4632757517476453771880661425375e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3139.5MB, alloc=4.4MB, time=241.13 NO POLE NO POLE x[1] = 0.984 y2[1] (analytic) = 1.4463038900315516083979291298914 y2[1] (numeric) = 1.8872454903804223163963519491782 absolute error = 0.4409416003488707079984228192868 relative error = 30.487479387146737045130322990311 % h = 0.001 y1[1] (analytic) = 1.4463038900315516083979291298914 y1[1] (numeric) = 1.4463038900315516440308251348259 absolute error = 3.56328960049345e-17 relative error = 2.4637212311001359697059686780974e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3143.3MB, alloc=4.4MB, time=241.76 NO POLE NO POLE x[1] = 0.985 y2[1] (analytic) = 1.4471368855515644213862442404742 y2[1] (numeric) = 1.888911204757476177998277617241 absolute error = 0.4417743192059117566120333767668 relative error = 30.527472806246181601847469177286 % h = 0.001 y1[1] (analytic) = 1.4471368855515644213862442404742 y1[1] (numeric) = 1.4471368855515644570460480970119 absolute error = 3.56598038565377e-17 relative error = 2.4641624584771921278119605286255e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3147.1MB, alloc=4.4MB, time=242.37 NO POLE NO POLE x[1] = 0.986 y2[1] (analytic) = 1.4479704339346456108854696593607 y2[1] (numeric) = 1.8905780252772874515935169037537 absolute error = 0.442607591342641840708047244393 relative error = 30.567446749580455093680794850396 % h = 0.001 y1[1] (analytic) = 1.4479704339346456108854696593607 y1[1] (numeric) = 1.4479704339346456465721408693957 absolute error = 3.56866712100350e-17 relative error = 2.4645994402704581679537865493117e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3150.9MB, alloc=4.4MB, time=243.02 NO POLE NO POLE x[1] = 0.987 y2[1] (analytic) = 1.4488045343472468632767788286789 y2[1] (numeric) = 1.8922459502730357562725015676929 absolute error = 0.443441415925788892995722739014 relative error = 30.607401165097793138144637737982 % h = 0.001 y1[1] (analytic) = 1.4488045343472468632767788286789 y1[1] (numeric) = 1.4488045343472468989902768672382 absolute error = 3.57134980385593e-17 relative error = 2.4650321828713681445599385175947e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3154.8MB, alloc=4.4MB, time=243.63 NO POLE NO POLE x[1] = 0.988 y2[1] (analytic) = 1.4496391859552678354672847569453 y2[1] (numeric) = 1.893914978076796235280671942641 absolute error = 0.4442757921215283998133871856957 relative error = 30.647336000976288218124780396902 % h = 0.001 y1[1] (analytic) = 1.4496391859552678354672847569453 y1[1] (numeric) = 1.4496391859552678712075690722288 absolute error = 3.57402843152835e-17 relative error = 2.4654606926710350346127459259756e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.989 y2[1] (analytic) = 1.4504743879240569889903136035916 y2[1] (numeric) = 1.8955851070195412239431946976127 absolute error = 0.4451107190954842349528810940211 relative error = 30.687251205623429285573694414013 % h = 0.001 y1[1] (analytic) = 1.4504743879240569889903136035916 y1[1] (numeric) = 1.4504743879240570247573436170131 absolute error = 3.57670300134215e-17 relative error = 2.4658849760602713447468094574675e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3158.6MB, alloc=4.4MB, time=244.26 NO POLE NO POLE x[1] = 0.99 y2[1] (analytic) = 1.4513101394184124246568735913464 y2[1] (numeric) = 1.8972563354311419186924884262539 absolute error = 0.4459461960127294940356148349075 relative error = 30.727146727675640828998025419913 % h = 0.001 y1[1] (analytic) = 1.4513101394184124246568735913464 y1[1] (numeric) = 1.4513101394184124604506086975738 absolute error = 3.57937351062274e-17 relative error = 2.4663050394294856700569378955551e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3162.4MB, alloc=4.4MB, time=244.88 NO POLE NO POLE x[1] = 0.991 y2[1] (analytic) = 1.4521464396025827177574845950707 y2[1] (numeric) = 1.8989286616403700471968880370278 absolute error = 0.4467822220377873294394034419571 relative error = 30.767022515997821414583006397172 % h = 0.001 y1[1] (analytic) = 1.4521464396025827177574845950707 y1[1] (numeric) = 1.452146439602582753577884162067 absolute error = 3.58203995669963e-17 relative error = 2.4667208891686898408291809545927e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3166.2MB, alloc=4.4MB, time=245.54 NO POLE NO POLE x[1] = 0.992 y2[1] (analytic) = 1.4529832876402677538135332052885 y2[1] (numeric) = 1.9006020839748995395887778158616 absolute error = 0.4476187963346317857752446105731 relative error = 30.806878519682881710752064200963 % h = 0.001 y1[1] (analytic) = 1.4529832876402677538135332052885 y1[1] (numeric) = 1.4529832876402677896605565743523 absolute error = 3.58470233690638e-17 relative error = 2.4671325316674166229339481584555e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3170.0MB, alloc=4.4MB, time=246.18 NO POLE NO POLE x[1] = 0.993 y2[1] (analytic) = 1.4538206826946195648773175151265 y2[1] (numeric) = 1.9022766007613082007905219332613 absolute error = 0.4484559180666886359132044181348 relative error = 30.846714688051282005913505925041 % h = 0.001 y1[1] (analytic) = 1.4538206826946195648773175151265 y1[1] (numeric) = 1.4538206826946196007509240009325 absolute error = 3.58736064858060e-17 relative error = 2.4675399733146721442904708673461e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3173.8MB, alloc=4.4MB, time=246.80 NO POLE NO POLE x[1] = 0.994 y2[1] (analytic) = 1.4546586239282431663799453306873 y2[1] (numeric) = 1.9039522103250793839365200701024 absolute error = 0.4492935863968362175565747394151 relative error = 30.886530970650569229099838950435 % h = 0.001 y1[1] (analytic) = 1.4546586239282431663799453306873 y1[1] (numeric) = 1.454658623928243202280094221327 absolute error = 3.59001488906397e-17 relative error = 2.4679432204989022847583802764433e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3177.6MB, alloc=4.4MB, time=247.43 NO POLE NO POLE x[1] = 0.995 y2[1] (analytic) = 1.4554971105031973945262489570286 y2[1] (numeric) = 1.9056289109906036648897147401811 absolute error = 0.4501318004874062703634657831525 relative error = 30.926327317254913483158992408716 % h = 0.001 y1[1] (analytic) = 1.4554971105031973945262489570286 y1[1] (numeric) = 1.4554971105031974304528995140512 absolute error = 3.59266505570226e-17 relative error = 2.4683422796079592326379081729988e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3181.5MB, alloc=4.4MB, time=248.05 NO POLE NO POLE x[1] = 0.996 y2[1] (analytic) = 1.4563361415809957442358791649033 y2[1] (numeric) = 1.9073067010811805178508757931578 absolute error = 0.4509705595001847736149966282545 relative error = 30.966103677864644100110469564572 % h = 0.001 y1[1] (analytic) = 1.4563361415809957442358791649033 y1[1] (numeric) = 1.4563361415809957801889906233562 absolute error = 3.59531114584529e-17 relative error = 2.4687371570290270082153732424608e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3185.3MB, alloc=4.4MB, time=248.67 NO POLE NO POLE x[1] = 0.997 y2[1] (analytic) = 1.4571757163226072076297403972349 y2[1] (numeric) = 1.9089855789190199920589864887478 absolute error = 0.4518098625964127844292460915129 relative error = 31.005860002705785228233271450808 % h = 0.001 y1[1] (analytic) = 1.4571757163226072076297403972349 y1[1] (numeric) = 1.4571757163226072436092719657049 absolute error = 3.59795315684700e-17 relative error = 2.4691278591486227842677443073906e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3189.1MB, alloc=4.4MB, time=249.30 NO POLE NO POLE x[1] = 0.998 y2[1] (analytic) = 1.4580158338884571130609287289657 y2[1] (numeric) = 1.9106655428252443895810544419139 absolute error = 0.4526497089367872765201257129482 relative error = 31.045596242229590960406293137933 % h = 0.001 y1[1] (analytic) = 1.4580158338884571130609287289657 y1[1] (numeric) = 1.4580158338884571490668395896192 absolute error = 3.60059108606535e-17 relative error = 2.4695143923524816566982373063269e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3192.9MB, alloc=4.4MB, time=249.92 NO POLE NO POLE x[1] = 0.999 y2[1] (analytic) = 1.4588564934384279646893335494061 y2[1] (numeric) = 1.9123465911198899441896696493882 absolute error = 0.4534900976814619795003360999821 relative error = 31.085312347112080013175806445546 % h = 0.001 y1[1] (analytic) = 1.4588564934384279646893335494061 y1[1] (numeric) = 1.4588564934384280007215828580304 absolute error = 3.60322493086243e-17 relative error = 2.4698967630255858135279377541521e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3196.7MB, alloc=4.4MB, time=250.54 NO POLE NO POLE x[1] = 1 y2[1] (analytic) = 1.459697694131860282599063392557 y2[1] (numeric) = 1.9140287221219085013266307201066 absolute error = 0.4543310279900482187275673275496 relative error = 31.125008268253569965978607845355 % h = 0.001 y1[1] (analytic) = 1.459697694131860282599063392557 y1[1] (numeric) = 1.4596976941318603186576102786008 absolute error = 3.60585468860438e-17 relative error = 2.4702749775520634914167302436931e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3200.5MB, alloc=4.4MB, time=251.16 NO POLE NO POLE x[1] = 1.001 y2[1] (analytic) = 1.4605394351275534434578557980464 y2[1] (numeric) = 1.9157119341491691991509593460684 absolute error = 0.455172499021615755693103548022 relative error = 31.164683956778211069903428899171 % h = 0.001 y1[1] (analytic) = 1.4605394351275534434578557980464 y1[1] (numeric) = 1.460539435127553479542659364661 absolute error = 3.60848035666146e-17 relative error = 2.4706490423151910356168121562856e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3204.3MB, alloc=4.4MB, time=251.78 NO POLE NO POLE x[1] = 1.002 y2[1] (analytic) = 1.4613817155837665217176305433427 y2[1] (numeric) = 1.9173962255184601506696219657475 absolute error = 0.4560145099346936289519914224048 relative error = 31.204339364033519635327279938711 % h = 0.001 y1[1] (analytic) = 1.4613817155837665217176305433427 y1[1] (numeric) = 1.4613817155837665578286498674225 absolute error = 3.61110193240798e-17 relative error = 2.4710189636972992059532670859484e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3208.2MB, alloc=4.4MB, time=252.42 NO POLE NO POLE x[1] = 1.003 y2[1] (analytic) = 1.4622245346582191313553450467597 y2[1] (numeric) = 1.9190815945454901269492764894736 absolute error = 0.4568570598872709955939314427139 relative error = 31.243974441589911007717526938046 % h = 0.001 y1[1] (analytic) = 1.4622245346582191313553450467597 y1[1] (numeric) = 1.4622245346582191674925391789835 absolute error = 3.61371941322238e-17 relative error = 2.4713847480797824432304849787729e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.004 y2[1] (analytic) = 1.4630678915080922681533102004696 y2[1] (numeric) = 1.9207680395448902414073608751763 absolute error = 0.4577001480367979732540506747067 relative error = 31.283589141240232140844687751219 % h = 0.001 y1[1] (analytic) = 1.4630678915080922681533102004696 y1[1] (numeric) = 1.4630678915080923043166381653414 absolute error = 3.61633279648718e-17 relative error = 2.4717464018430193027780670542425e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3212.0MB, alloc=4.4MB, time=253.05 NO POLE NO POLE x[1] = 1.005 y2[1] (analytic) = 1.4639117852900291525181243532775 y2[1] (numeric) = 1.9224555588302156351808392635447 absolute error = 0.4585437735401864826627149102672 relative error = 31.323183414999293776605178175134 % h = 0.001 y1[1] (analytic) = 1.4639117852900291525181243532775 y1[1] (numeric) = 1.4639117852900291887075451491674 absolute error = 3.61894207958899e-17 relative error = 2.4721039313663342028830641862175e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3215.8MB, alloc=4.4MB, time=253.67 NO POLE NO POLE x[1] = 1.006 y2[1] (analytic) = 1.4647562151601360728373826242936 y2[1] (numeric) = 1.9241441507139471635709203039965 absolute error = 0.4593879355538110907335376797029 relative error = 31.36275721510340224060754172651 % h = 0.001 y1[1] (analytic) = 1.4647562151601360728373826242936 y1[1] (numeric) = 1.4647562151601361090528552234789 absolute error = 3.62154725991853e-17 relative error = 2.4724573430279661867347339368338e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3219.6MB, alloc=4.4MB, time=254.29 NO POLE NO POLE x[1] = 1.007 y2[1] (analytic) = 1.4656011802739832293733181908644 y2[1] (numeric) = 1.9258338135074930835620612268783 absolute error = 0.4602326332335098541887430360139 relative error = 31.402310494009890862630060656967 % h = 0.001 y1[1] (analytic) = 1.4656011802739832293733181908644 y1[1] (numeric) = 1.4656011802739832656148015395707 absolute error = 3.62414833487063e-17 relative error = 2.4728066432050242005665503476920e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3223.4MB, alloc=4.4MB, time=254.91 NO POLE NO POLE x[1] = 1.008 y2[1] (analytic) = 1.4664466797866055786925316571923 y2[1] (numeric) = 1.9275245455211907424135701430349 absolute error = 0.4610778657345851637210384858426 relative error = 31.441843204396651031012070626555 % h = 0.001 y1[1] (analytic) = 1.4664466797866055786925316571923 y1[1] (numeric) = 1.4664466797866056149599846756342 absolute error = 3.62674530184419e-17 relative error = 2.4731518382734153043558712927710e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3227.2MB, alloc=4.4MB, time=255.53 NO POLE NO POLE x[1] = 1.009 y2[1] (analytic) = 1.467292712852503678630964073983 y2[1] (numeric) = 1.9292163450643082673221179792846 absolute error = 0.4619236322118045886911539053016 relative error = 31.481355299161662889995788656093 % h = 0.001 y1[1] (analytic) = 1.467292712852503678630964073983 y1[1] (numeric) = 1.4672927128525037149243456564057 absolute error = 3.62933815824227e-17 relative error = 2.4734929346078617844174906268328e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3231.0MB, alloc=4.4MB, time=256.15 NO POLE NO POLE x[1] = 1.01 y2[1] (analytic) = 1.4681392786256445337932686442208 y2[1] (numeric) = 1.9309092104450462561534703874301 absolute error = 0.4627699318194017223602017432093 relative error = 31.520846731422525688990014514981 % h = 0.001 y1[1] (analytic) = 1.4681392786256445337932686442208 y1[1] (numeric) = 1.4681392786256445701125376589407 absolute error = 3.63192690147199e-17 relative error = 2.4738299385817888467337676618369e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3234.9MB, alloc=4.4MB, time=256.77 NO POLE NO POLE x[1] = 1.011 y2[1] (analytic) = 1.4689863762594624415857356157674 y2[1] (numeric) = 1.9326031399705394692417488952144 absolute error = 0.463616763711077027656013279447 relative error = 31.560317454515987792681680596096 % h = 0.001 y1[1] (analytic) = 1.4689863762594624415857356157674 y1[1] (numeric) = 1.4689863762594624779308509052136 absolute error = 3.63451152894462e-17 relative error = 2.4741628565673420951824397551810e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3238.7MB, alloc=4.4MB, time=257.39 NO POLE NO POLE x[1] = 1.012 y2[1] (analytic) = 1.4698340049068598387819243279326 y2[1] (numeric) = 1.9342981319468585222545295001004 absolute error = 0.4644641270399986834726051721678 relative error = 31.599767421997476360875905592041 % h = 0.001 y1[1] (analytic) = 1.4698340049068598387819243279326 y1[1] (numeric) = 1.4698340049068598751528447086879 absolute error = 3.63709203807553e-17 relative error = 2.4744916949353097565592545089532e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3242.5MB, alloc=4.4MB, time=258.01 NO POLE NO POLE x[1] = 1.013 y2[1] (analytic) = 1.4706821637202081486201558464534 y2[1] (numeric) = 1.9359941846790115801220858409176 absolute error = 0.4653120209588034315019299944642 relative error = 31.639196587640626706899953919799 % h = 0.001 y1[1] (analytic) = 1.4706821637202081486201558464534 y1[1] (numeric) = 1.4706821637202081850168401092956 absolute error = 3.63966842628422e-17 relative error = 2.4748164600550996273482571793656e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3246.3MB, alloc=4.4MB, time=258.64 NO POLE NO POLE x[1] = 1.014 y2[1] (analytic) = 1.4715308518513486284320190894609 y2[1] (numeric) = 1.9376912964709460520290830182736 absolute error = 0.4661604446195974235970639288127 relative error = 31.678604905436811343361316830976 % h = 0.001 y1[1] (analytic) = 1.4715308518513486284320190894609 y1[1] (numeric) = 1.4715308518513486648544259994038 absolute error = 3.64224069099429e-17 relative error = 2.4751371582946753829931784363018e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3250.1MB, alloc=4.4MB, time=259.26 NO POLE NO POLE x[1] = 1.015 y2[1] (analytic) = 1.472380068451593217801042815998 y2[1] (numeric) = 1.9393894656255502874670270721779 absolute error = 0.4670093971739570696659842561799 relative error = 31.717992329594668724005013472762 % h = 0.001 y1[1] (analytic) = 1.472380068451593217801042815998 y1[1] (numeric) = 1.4723800684515932542491311123329 absolute error = 3.64480882963349e-17 relative error = 2.4754537960205474981594729639926e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3253.9MB, alloc=4.4MB, time=259.88 NO POLE NO POLE x[1] = 1.016 y2[1] (analytic) = 1.4732298126717253872506853184886 y2[1] (numeric) = 1.9410886904446552733457740645696 absolute error = 0.467858877772929886095088746081 relative error = 31.757358814539631690370161797451 % h = 0.001 y1[1] (analytic) = 1.4732298126717253872506853184886 y1[1] (numeric) = 1.4732298126717254237244137148253 absolute error = 3.64737283963367e-17 relative error = 2.4757663795976963775441914646191e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3257.7MB, alloc=4.4MB, time=260.50 NO POLE NO POLE x[1] = 1.017 y2[1] (analytic) = 1.4740800836620009874607931312371 y2[1] (numeric) = 1.9427889692290363321624016553816 absolute error = 0.4687088855670353447016085241445 relative error = 31.796704314913455631900891114789 % h = 0.001 y1[1] (analytic) = 1.4740800836620009874607931312371 y1[1] (numeric) = 1.4740800836620010239601203155452 absolute error = 3.64993271843081e-17 relative error = 2.4760749153895500811710092438301e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3261.6MB, alloc=4.4MB, time=261.12 NO POLE NO POLE x[1] = 1.018 y2[1] (analytic) = 1.4749308805721490990116795385718 y2[1] (numeric) = 1.9444903002784148212257450034114 absolute error = 0.4695594197062657222140654648396 relative error = 31.836028785573746368121761187352 % h = 0.001 y1[1] (analytic) = 1.4749308805721490990116795385718 y1[1] (numeric) = 1.4749308805721491355365641732223 absolute error = 3.65248846346505e-17 relative error = 2.4763794097579621845709184414032e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.019 y2[1] (analytic) = 1.4757822025513728826549731386242 y2[1] (numeric) = 1.9461926818914598329348977676036 absolute error = 0.4704104793400869502799246289794 relative error = 31.875332181593487761443018022529 % h = 0.001 y1[1] (analytic) = 1.4757822025513728826549731386242 y1[1] (numeric) = 1.4757822025513729192053738604306 absolute error = 3.65504007218064e-17 relative error = 2.4766798690631355650277164111960e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3265.4MB, alloc=4.4MB, time=261.74 NO POLE NO POLE x[1] = 1.02 y2[1] (analytic) = 1.4766340487483504301103861919662 y2[1] (numeric) = 1.9478961123657898961099779303854 absolute error = 0.4712620636174394659995917384192 relative error = 31.914614458260569069116254841284 % h = 0.001 y1[1] (analytic) = 1.4766340487483504301103861919662 y1[1] (numeric) = 1.4766340487483504666862616122259 absolute error = 3.65758754202597e-17 relative error = 2.4769762996636006870495184391060e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3269.2MB, alloc=4.4MB, time=262.38 NO POLE NO POLE x[1] = 1.021 y2[1] (analytic) = 1.4774864183112356153875519584076 y2[1] (numeric) = 1.9496005899979746783734571124306 absolute error = 0.472114171686739062985905154023 relative error = 31.953875571077312042816359019703 % h = 0.001 y1[1] (analytic) = 1.4774864183112356153875519584076 y1[1] (numeric) = 1.4774864183112356519888606629433 absolute error = 3.66013087045357e-17 relative error = 2.4772687079161737168749959808611e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3273.0MB, alloc=4.4MB, time=263.00 NO POLE NO POLE x[1] = 1.022 y2[1] (analytic) = 1.4783393103876589466320797001881 y2[1] (numeric) = 1.9513061130835366895803509976652 absolute error = 0.4729668026958777429482712974771 relative error = 31.993115475759997784281013010262 % h = 0.001 y1[1] (analytic) = 1.4783393103876589466320797001881 y1[1] (numeric) = 1.4783393103876589832587802493893 absolute error = 3.66267005492012e-17 relative error = 2.4775571001759216051184976383419e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3276.8MB, alloc=4.4MB, time=263.62 NO POLE NO POLE x[1] = 1.023 y2[1] (analytic) = 1.4791927241247284184949755055798 y2[1] (numeric) = 1.9530126799169529862955674384655 absolute error = 0.4738199557922245678005919328857 relative error = 32.032334128238393365394480251119 % h = 0.001 y1[1] (analytic) = 1.4791927241247284184949755055798 y1[1] (numeric) = 1.479192724124728455147026434444 absolute error = 3.66520509288642e-17 relative error = 2.4778414827961003075956161554042e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3280.6MB, alloc=4.4MB, time=264.25 NO POLE NO POLE x[1] = 1.024 y2[1] (analytic) = 1.4800466586690303650245765635492 y2[1] (numeric) = 1.9547202887916568773167077638432 absolute error = 0.474673630122626512292131200294 relative error = 32.071531484655278221057946749092 % h = 0.001 y1[1] (analytic) = 1.4800466586690303650245765635492 y1[1] (numeric) = 1.4800466586690304017019363817235 absolute error = 3.66773598181743e-17 relative error = 2.4781218621281405751500482188237e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3284.5MB, alloc=4.4MB, time=264.87 NO POLE NO POLE x[1] = 1.025 y2[1] (analytic) = 1.4809011131666303130801459976169 y2[1] (numeric) = 1.9564289380000396302406157679576 absolute error = 0.4755278248334093171604697703407 relative error = 32.110707501365970323144306249633 % h = 0.001 y1[1] (analytic) = 1.4809011131666303130801459976169 y1[1] (numeric) = 1.4809011131666303497827731894398 absolute error = 3.67026271918229e-17 relative error = 2.4783982445216203470961117216049e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3288.3MB, alloc=4.4MB, time=265.50 NO POLE NO POLE x[1] = 1.026 y2[1] (analytic) = 1.4817560867630738362662748453913 y2[1] (numeric) = 1.9581386258334521790719678125491 absolute error = 0.4763825390703783428056929671578 relative error = 32.149862134937852143790972551122 % h = 0.001 y1[1] (analytic) = 1.4817560867630738362662748453913 y1[1] (numeric) = 1.4817560867630738729941278699337 absolute error = 3.67278530245424e-17 relative error = 2.4786706363241698125878641818043e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3292.1MB, alloc=4.4MB, time=266.12 NO POLE NO POLE x[1] = 1.027 y2[1] (analytic) = 1.4826115786033874093872372494439 y2[1] (numeric) = 1.9598493505822068328721964348452 absolute error = 0.4772377719788194234849591854013 relative error = 32.188995342149896416240077435346 % h = 0.001 y1[1] (analytic) = 1.4826115786033874093872372494439 y1[1] (numeric) = 1.4826115786033874461402745405508 absolute error = 3.67530372911069e-17 relative error = 2.4789390438814780335429703013950e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3295.9MB, alloc=4.4MB, time=266.74 NO POLE NO POLE x[1] = 1.028 y2[1] (analytic) = 1.4834675878320792634204444052437 y2[1] (numeric) = 1.9615611105355789854470388121587 absolute error = 0.478093522703499722026594406915 relative error = 32.228107079992191701391267715965 % h = 0.001 y1[1] (analytic) = 1.4834675878320792634204444052437 y1[1] (numeric) = 1.4834675878320793001986243715761 absolute error = 3.67781799663324e-17 relative error = 2.4792034735372659004174821627809e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3299.7MB, alloc=4.4MB, time=267.36 NO POLE NO POLE x[1] = 1.029 y2[1] (analytic) = 1.4843241135931402410081422927682 y2[1] (numeric) = 1.9632739039818088260710003957713 absolute error = 0.4789497903886685850628581030031 relative error = 32.267197305665467768188250887518 % h = 0.001 y1[1] (analytic) = 1.4843241135931402410081422927682 y1[1] (numeric) = 1.4843241135931402778114233178442 absolute error = 3.68032810250760e-17 relative error = 2.4794639316331918714980092279218e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3303.5MB, alloc=4.4MB, time=267.98 NO POLE NO POLE x[1] = 1.03 y2[1] (analytic) = 1.4851811550300446524664977001626 y2[1] (numeric) = 1.964987729208103051247022989782 absolute error = 0.4798065741780583987805252896194 relative error = 32.306265976580620795916256614007 % h = 0.001 y1[1] (analytic) = 1.4851811550300446524664977001626 y1[1] (numeric) = 1.4851811550300446892948381423994 absolute error = 3.68283404422368e-17 relative error = 2.4797204245088725635167076825973e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3307.3MB, alloc=4.4MB, time=268.61 NO POLE NO POLE x[1] = 1.031 y2[1] (analytic) = 1.4860387112857511323112165304354 y2[1] (numeric) = 1.9667025845006365774996455153947 absolute error = 0.4806638732148854451884289849593 relative error = 32.345313050358238406443681642681 % h = 0.001 y1[1] (analytic) = 1.4860387112857511323112165304354 y1[1] (numeric) = 1.4860387112857511691645747231906 absolute error = 3.68533581927552e-17 relative error = 2.4799729585017956635228692137328e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3311.2MB, alloc=4.4MB, time=269.22 NO POLE NO POLE x[1] = 1.032 y2[1] (analytic) = 1.4868967815027034962988378656402 y2[1] (numeric) = 1.9684184681445542551999446676272 absolute error = 0.481521686641850758901106801987 relative error = 32.384338484828124534397369472252 % h = 0.001 y1[1] (analytic) = 1.4868967815027034962988378656402 y1[1] (numeric) = 1.4868967815027035331771721172538 absolute error = 3.68783342516136e-17 relative error = 2.4802215399473273594186298593185e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3315.0MB, alloc=4.4MB, time=269.84 NO POLE NO POLE x[1] = 1.033 y2[1] (analytic) = 1.4877553648228315989828467473245 y2[1] (numeric) = 1.9701353784239725834205416396435 absolute error = 0.482380013601140984437694892319 relative error = 32.423342238028824143217244038812 % h = 0.001 y1[1] (analytic) = 1.4877553648228315989828467473245 y1[1] (numeric) = 1.4877553648228316358861153411604 absolute error = 3.69032685938359e-17 relative error = 2.4804661751786391481327532973047e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3318.8MB, alloc=4.4MB, time=270.46 x[1] = 1.034 y2[1] (analytic) = 1.4886144603875521917837481172009 y2[1] (numeric) = 1.9718533136219814258189600598455 absolute error = 0.4832388532344292340352119426446 relative error = 32.462324268207147794992369595468 % h = 0.001 y1[1] (analytic) = 1.4886144603875521917837481172009 y1[1] (numeric) = 1.4886144603875522287119093116887 absolute error = 3.69281611944878e-17 relative error = 2.4807068705266887002793047779001e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.035 y2[1] (analytic) = 1.489474067337769781572243848041 y2[1] (numeric) = 1.9735722720206457275476192585095 absolute error = 0.4840982046828759459753754104685 relative error = 32.501284533817696081936947626912 % h = 0.001 y1[1] (analytic) = 1.489474067337769781572243848041 y1[1] (numeric) = 1.4894740673377698185252558767176 absolute error = 3.69530120286766e-17 relative error = 2.4809436323201672844017148259168e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3322.6MB, alloc=4.4MB, time=271.08 NO POLE NO POLE x[1] = 1.036 y2[1] (analytic) = 1.4903341848138774897646542816844 y2[1] (numeric) = 1.9752922519010072331887459541171 absolute error = 0.4849580670871297434240916724327 relative error = 32.540222993522383927321286826395 % h = 0.001 y1[1] (analytic) = 1.4903341848138774897646542816844 y1[1] (numeric) = 1.4903341848138775267424753532359 absolute error = 3.69778210715515e-17 relative error = 2.4811764668854809851614534772162e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3326.4MB, alloc=4.4MB, time=271.70 NO POLE NO POLE x[1] = 1.037 y2[1] (analytic) = 1.4911948119557579119297251788145 y2[1] (numeric) = 1.9770132515430862057124864246119 absolute error = 0.4858184395873282937827612457974 relative error = 32.579139606189964763629394625155 % h = 0.001 y1[1] (analytic) = 1.4911948119557579119297251788145 y1[1] (numeric) = 1.4911948119557579489323134771181 absolute error = 3.70025882983036e-17 relative error = 2.4814053805467119311465264384082e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3330.2MB, alloc=4.4MB, time=272.35 NO POLE NO POLE x[1] = 1.038 y2[1] (analytic) = 1.4920559479027839779059604737648 y2[1] (numeric) = 1.9787352692258831464565002056134 absolute error = 0.4866793213230991685505397318486 relative error = 32.618034330895554595671539252049 % h = 0.001 y1[1] (analytic) = 1.4920559479027839779059604737648 y1[1] (numeric) = 1.4920559479027840149332741579303 absolute error = 3.70273136841655e-17 relative error = 2.4816303796255529111130338450015e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3334.0MB, alloc=4.4MB, time=272.97 NO POLE NO POLE x[1] = 1.039 y2[1] (analytic) = 1.4929175917938198124286207170946 y2[1] (numeric) = 1.9804583032273805161253153361371 absolute error = 0.4875407114335607036966946190425 relative error = 32.65690712692015595633692055086 % h = 0.001 y1[1] (analytic) = 1.4929175917938198124286207170946 y1[1] (numeric) = 1.4929175917938198494806179215064 absolute error = 3.70519972044118e-17 relative error = 2.4818514704413025643413352240128e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3337.9MB, alloc=4.4MB, time=273.59 NO POLE NO POLE x[1] = 1.04 y2[1] (analytic) = 1.4937797427672215962655265790078 y2[1] (numeric) = 1.9821823518245444568077241526099 absolute error = 0.4884026090573228605421975736021 relative error = 32.695757953750181762628466523594 % h = 0.001 y1[1] (analytic) = 1.4937797427672215962655265790078 y1[1] (numeric) = 1.493779742767221633342165413367 absolute error = 3.70766388343592e-17 relative error = 2.4820686593108338733669254537362e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3341.7MB, alloc=4.4MB, time=274.22 NO POLE NO POLE x[1] = 1.041 y2[1] (analytic) = 1.4946423999608384278608062778836 y2[1] (numeric) = 1.9839074132933265150104976139276 absolute error = 0.489265013332488087149691336044 relative error = 32.734586771076979079578741518892 % h = 0.001 y1[1] (analytic) = 1.4946423999608384278608062778836 y1[1] (numeric) = 1.4946423999608384649620448272495 absolute error = 3.71012385493659e-17 relative error = 2.4822819525485159953675523703619e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3345.5MB, alloc=4.4MB, time=274.84 NO POLE NO POLE x[1] = 1.042 y2[1] (analytic) = 1.4955055625120131854857252902416 y2[1] (numeric) = 1.9856334859086653657066951239843 absolute error = 0.4901279233966521802209698337427 relative error = 32.773393538796352799603011855684 % h = 0.001 y1[1] (analytic) = 1.4955055625120131854857252902416 y1[1] (numeric) = 1.4955055625120132226115216150738 absolute error = 3.71257963248322e-17 relative error = 2.4824913564662166683636534840846e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3349.3MB, alloc=4.4MB, time=275.46 NO POLE NO POLE x[1] = 1.043 y2[1] (analytic) = 1.4963692295575833898957361913855 y2[1] (numeric) = 1.9873605679444885373968458035072 absolute error = 0.4909913383869051475011096121217 relative error = 32.812178217008089244802666163 % h = 0.001 y1[1] (analytic) = 1.4963692295575833898957361913855 y1[1] (numeric) = 1.4963692295575834270460483275859 absolute error = 3.71503121362004e-17 relative error = 2.4826968773732578933101410364368e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3353.1MB, alloc=4.4MB, time=276.08 NO POLE NO POLE x[1] = 1.044 y2[1] (analytic) = 1.4972334002338820674928859697464 y2[1] (numeric) = 1.98908865767371413818127615016 absolute error = 0.4918552574398320706883901804136 relative error = 32.850940766015479699689431519936 % h = 0.001 y1[1] (analytic) = 1.4972334002338820674928859697464 y1[1] (numeric) = 1.497233400233882104667671928701 absolute error = 3.71747859589546e-17 relative error = 2.4828985215763651548240172665490e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3356.9MB, alloc=4.4MB, time=276.70 NO POLE NO POLE x[1] = 1.045 y2[1] (analytic) = 1.4980980736767386139927176525903 y2[1] (numeric) = 1.9908177533682525828418580147299 absolute error = 0.4927196796915139688491403621396 relative error = 32.889681146324843881758163276106 % h = 0.001 y1[1] (analytic) = 1.4980980736767386139927176525903 y1[1] (numeric) = 1.4980980736767386511919354212113 absolute error = 3.71992177686210e-17 relative error = 2.4830962953796502578201525065260e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3360.7MB, alloc=4.4MB, time=277.32 NO POLE NO POLE x[1] = 1.046 y2[1] (analytic) = 1.4989632490214796585948025762604 y2[1] (numeric) = 1.9925478532990083209314498117953 absolute error = 0.4935846042775286623366472355349 relative error = 32.928399318645053357293416896255 % h = 0.001 y1[1] (analytic) = 1.4989632490214796585948025762604 y1[1] (numeric) = 1.4989632490214796958184101170282 absolute error = 3.72236075407678e-17 relative error = 2.4832902050845676031667446272524e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3364.6MB, alloc=4.4MB, time=277.93 NO POLE NO POLE x[1] = 1.047 y2[1] (analytic) = 1.499828925402929928656039130494 y2[1] (numeric) = 1.9942789557358815658693028755761 absolute error = 0.4944500303329516372132637450821 relative error = 32.967095243887054909752534966332 % h = 0.001 y1[1] (analytic) = 1.499828925402929928656039130494 y1[1] (numeric) = 1.4998289254029299659039943814992 absolute error = 3.72479552510052e-17 relative error = 2.4834802569898773469996833108482e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3368.4MB, alloc=4.4MB, time=278.56 NO POLE NO POLE x[1] = 1.048 y2[1] (analytic) = 1.5006951019554131148658533035871 y2[1] (numeric) = 1.9960110589477700250407038657052 absolute error = 0.4953159569923569101748505621181 relative error = 33.005768883163393868025602277642 % h = 0.001 y1[1] (analytic) = 1.5006951019554131148658533035871 y1[1] (numeric) = 1.5006951019554131521381141785727 absolute error = 3.72722608749856e-17 relative error = 2.4836664573916220798375427121823e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3372.2MB, alloc=4.4MB, time=279.18 x[1] = 1.049 y2[1] (analytic) = 1.5015617778127527369224358532785 y2[1] (numeric) = 1.9977441612025706308991231234222 absolute error = 0.4961823833898178939766872701437 relative error = 33.044420197787737401830337315881 % h = 0.001 y1[1] (analytic) = 1.5015617778127527369224358532785 y1[1] (numeric) = 1.5015617778127527742189602416818 absolute error = 3.72965243884033e-17 relative error = 2.4838488125830703530698405253906e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.05 y2[1] (analytic) = 1.5024289521082730097091504271879 y2[1] (numeric) = 1.9994782607671812730691378761855 absolute error = 0.4970493086589082633599874489976 relative error = 33.083049149274397791457800160476 % h = 0.001 y1[1] (analytic) = 1.5024289521082730097091504271879 y1[1] (numeric) = 1.5024289521082730470298961941827 absolute error = 3.73207457669948e-17 relative error = 2.4840273288547004017698934906462e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3376.0MB, alloc=4.4MB, time=279.79 NO POLE NO POLE x[1] = 1.051 y2[1] (analytic) = 1.5032966239747997099702464564727 y2[1] (numeric) = 2.001213355907502531448398187924 absolute error = 0.4979167319327028214781517314513 relative error = 33.121655699337855679042705374137 % h = 0.001 y1[1] (analytic) = 1.5032966239747997099702464564727 y1[1] (numeric) = 1.5032966239747997473151714430114 absolute error = 3.73449249865387e-17 relative error = 2.4842020124941573814159980459230e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3379.8MB, alloc=4.4MB, time=280.42 NO POLE NO POLE x[1] = 1.052 y2[1] (analytic) = 1.5041647925446610434850101470624 y2[1] (numeric) = 2.0029494448884394103069025531069 absolute error = 0.4987846523437783668218924060445 relative error = 33.160239809892283308490134552475 % h = 0.001 y1[1] (analytic) = 1.5041647925446610434850101470624 y1[1] (numeric) = 1.5041647925446610808540721699181 absolute error = 3.73690620228557e-17 relative error = 2.4843728697862174667470806992562e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3383.6MB, alloc=4.4MB, time=281.06 NO POLE NO POLE x[1] = 1.053 y2[1] (analytic) = 1.5050334569496885127394863943916 y2[1] (numeric) = 2.0046865259739030733818490355005 absolute error = 0.4996530690242145606423626411089 relative error = 33.198801443051067761148547419101 % h = 0.001 y1[1] (analytic) = 1.5050334569496885127394863943916 y1[1] (numeric) = 1.5050334569496885501326432462006 absolute error = 3.73931568518090e-17 relative error = 2.4845399070127787184998845343167e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3387.5MB, alloc=4.4MB, time=281.68 NO POLE NO POLE x[1] = 1.054 y2[1] (analytic) = 1.5059026163212177850949039499833 y2[1] (numeric) = 2.0064245974268125799663268569051 absolute error = 0.5005219811055947948714229069218 relative error = 33.23734056112633419427719329424 % h = 0.001 y1[1] (analytic) = 1.5059026163212177850949039499833 y1[1] (numeric) = 1.5059026163212178225121133992869 absolute error = 3.74172094493036e-17 relative error = 2.4847031304527790021566601357288e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3391.3MB, alloc=4.4MB, time=282.33 NO POLE NO POLE x[1] = 1.055 y2[1] (analytic) = 1.5067722697900895614519356715277 y2[1] (numeric) = 2.0081636575090966219901123473256 absolute error = 0.5013913877190070605381766757979 relative error = 33.275857126628469089314327028359 % h = 0.001 y1[1] (analytic) = 1.5067722697900895614519356715277 y1[1] (numeric) = 1.5067722697900895988931554628147 absolute error = 3.74412197912870e-17 relative error = 2.4848625463822071711226467855863e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3395.1MB, alloc=4.4MB, time=282.95 NO POLE NO POLE x[1] = 1.056 y2[1] (analytic) = 1.5076424164866504454099251922705 y2[1] (numeric) = 2.0099037044816952620908321759243 absolute error = 0.5022612879950448166809069836538 relative error = 33.314351102265643516911035659467 % h = 0.001 y1[1] (analytic) = 1.5076424164866504454099251922705 y1[1] (numeric) = 1.5076424164866504828751130460193 absolute error = 3.74651878537488e-17 relative error = 2.4850181610740413163472342688303e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3398.9MB, alloc=4.4MB, time=283.57 NO POLE NO POLE x[1] = 1.057 y2[1] (analytic) = 1.508513055540753812920210850555 y2[1] (numeric) = 2.0116447366045616726737557917376 absolute error = 0.5031316810638078597535449411826 relative error = 33.352822450943336425653984700912 % h = 0.001 y1[1] (analytic) = 1.508513055540753812920210850555 y1[1] (numeric) = 1.5085130555407538504093244632759 absolute error = 3.74891136127209e-17 relative error = 2.4851699807982270707816390272003e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3402.7MB, alloc=4.4MB, time=284.19 NO POLE NO POLE x[1] = 1.058 y2[1] (analytic) = 1.5093841860817606824326772262677 y2[1] (numeric) = 2.0133867521366638759584780145092 absolute error = 0.5040025660549031935258007882415 relative error = 33.391271135763857961358996661505 % h = 0.001 y1[1] (analytic) = 1.5093841860817606824326772262677 y1[1] (numeric) = 1.5093841860817607199456742705453 absolute error = 3.75129970442776e-17 relative error = 2.4853180118216494308038532586192e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3406.5MB, alloc=4.4MB, time=284.81 NO POLE NO POLE x[1] = 1.059 y2[1] (analytic) = 1.5102558072385405855346641377078 y2[1] (numeric) = 2.0151297493359864850107517291019 absolute error = 0.5048739420974458994760875913941 relative error = 33.429697120025872823776079701165 % h = 0.001 y1[1] (analytic) = 1.5102558072385405855346641377078 y1[1] (numeric) = 1.5102558072385406230715022622432 absolute error = 3.75368381245354e-17 relative error = 2.4854622604080848782182140340903e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3410.3MB, alloc=4.4MB, time=285.43 NO POLE NO POLE x[1] = 1.06 y2[1] (analytic) = 1.5111279181394724380813624600436 y2[1] (numeric) = 2.0168737264595324457577296518006 absolute error = 0.505745808320060007676367191757 relative error = 33.468100367223923667505331782907 % h = 0.001 y1[1] (analytic) = 1.5111279181394724380813624600436 y1[1] (numeric) = 1.511127918139472475641999289697 absolute error = 3.75606368296534e-17 relative error = 2.4856027328181934408230218383270e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3414.2MB, alloc=4.4MB, time=286.05 NO POLE NO POLE x[1] = 1.061 y2[1] (analytic) = 1.5120005179124454118168256350344 y2[1] (numeric) = 2.0186186817633247799848731534099 absolute error = 0.5066181638508793681680475183755 relative error = 33.506480841047954553882055837397 % h = 0.001 y1[1] (analytic) = 1.5120005179124454118168256350344 y1[1] (numeric) = 1.5120005179124454494012187708671 absolute error = 3.75843931358327e-17 relative error = 2.4857394353094447105137796167544e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3418.0MB, alloc=4.4MB, time=286.68 NO POLE NO POLE x[1] = 1.062 y2[1] (analytic) = 1.5128736056848598064847252510766 y2[1] (numeric) = 2.0203646135024083293127851423829 absolute error = 0.5074910078175485228280598913063 relative error = 33.544838505382834460548434843903 % h = 0.001 y1[1] (analytic) = 1.5128736056848598064847252510766 y1[1] (numeric) = 1.5128736056848598440928322703937 absolute error = 3.76081070193171e-17 relative error = 2.4858723741361301143881120204830e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3421.8MB, alloc=4.4MB, time=287.31 NO POLE NO POLE x[1] = 1.063 y2[1] (analytic) = 1.513747180583627922427978582893 y2[1] (numeric) = 2.0221115199308515001522230312931 absolute error = 0.5083643393472235777242444484001 relative error = 33.583173324307880855388232875036 % h = 0.001 y1[1] (analytic) = 1.513747180583627922427978582893 y1[1] (numeric) = 1.5137471805836279600597570392857 absolute error = 3.76317784563927e-17 relative error = 2.4860015555493025440232612455593e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3425.6MB, alloc=4.4MB, time=287.93 NO POLE NO POLE x[1] = 1.064 y2[1] (analytic) = 1.5146212417351749336763754913097 y2[1] (numeric) = 2.0238593993017480096355468317824 absolute error = 0.5092381575665730759591713404727 relative error = 33.62148526209638334146020957061 % h = 0.001 y1[1] (analytic) = 1.5146212417351749336763754913097 y1[1] (numeric) = 1.5146212417351749713317829146978 absolute error = 3.76554074233881e-17 relative error = 2.4861269857967558756201430335328e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.065 y2[1] (analytic) = 1.5154957882654397615213315955666 y2[1] (numeric) = 2.0256082498672186325228564466824 absolute error = 0.5101124616017788710015248511158 relative error = 33.659774283215127379525261705903 % h = 0.001 y1[1] (analytic) = 1.5154957882654397615213315955666 y1[1] (numeric) = 1.5154957882654397992003254922408 absolute error = 3.76789938966742e-17 relative error = 2.4862486711229782353274274285971e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3429.4MB, alloc=4.4MB, time=288.56 NO POLE NO POLE x[1] = 1.066 y2[1] (analytic) = 1.5163708192998759485768941434805 y2[1] (numeric) = 2.0273580698784129490810712533172 absolute error = 0.5109872505785370005041771098367 relative error = 33.698040352323918094721737002719 % h = 0.001 y1[1] (analytic) = 1.5163708192998759485768941434805 y1[1] (numeric) = 1.5163708192998759862794319961452 absolute error = 3.77025378526647e-17 relative error = 2.4863666177691516576108364567399e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3433.2MB, alloc=4.4MB, time=289.18 NO POLE NO POLE x[1] = 1.067 y2[1] (analytic) = 1.5172463339634525333261265185295 y2[1] (numeric) = 2.029108857585511093934204099054 absolute error = 0.5118625236220585606080775805245 relative error = 33.736283434275104173902902589991 % h = 0.001 y1[1] (analytic) = 1.5172463339634525333261265185295 y1[1] (numeric) = 1.517246333963452571052165786345 absolute error = 3.77260392678155e-17 relative error = 2.4864808319730793136599276330713e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3437.0MB, alloc=4.4MB, time=289.80 NO POLE NO POLE x[1] = 1.068 y2[1] (analytic) = 1.5181223313806549251519968375448 y2[1] (numeric) = 2.030860611237725505883080858973 absolute error = 0.5127382798570705807310840214282 relative error = 33.774503494113101860110194039423 % h = 0.001 y1[1] (analytic) = 1.5181223313806549251519968375448 y1[1] (numeric) = 1.5181223313806549629014949561701 absolute error = 3.77494981186253e-17 relative error = 2.4865913199691921053847683371654e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3440.9MB, alloc=4.4MB, time=290.43 NO POLE NO POLE x[1] = 1.069 y2[1] (analytic) = 1.5189988106754857798518956081959 y2[1] (numeric) = 2.0326133290833026786927557360827 absolute error = 0.5136145184078168988408601278868 relative error = 33.812700497073919050615621156077 % h = 0.001 y1[1] (analytic) = 1.5189988106754857798518956081959 y1[1] (numeric) = 1.5189988106754858176248099898311 absolute error = 3.77729143816352e-17 relative error = 2.4866980879884894727329493203560e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3444.7MB, alloc=4.4MB, time=291.04 NO POLE NO POLE x[1] = 1.07 y2[1] (analytic) = 1.5198757709714658756349069318241 y2[1] (numeric) = 2.0343670093695249128458715168121 absolute error = 0.514491238398059037210964584988 relative error = 33.850874408584679504926564163619 % h = 0.001 y1[1] (analytic) = 1.5198757709714658756349069318241 y1[1] (numeric) = 1.519875770971465913431194965253 absolute error = 3.77962880334289e-17 relative error = 2.4868011422585199518023372104480e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3448.5MB, alloc=4.4MB, time=291.68 NO POLE NO POLE x[1] = 1.071 y2[1] (analytic) = 1.5207532113916349896009572544251 y2[1] (numeric) = 2.0361216503427120682602130285642 absolute error = 0.5153684389510770786592557741391 relative error = 33.889025194263147169106159048803 % h = 0.001 y1[1] (analytic) = 1.5207532113916349896009572544251 y1[1] (numeric) = 1.5207532113916350274205763050579 absolute error = 3.78196190506328e-17 relative error = 2.4869004890033552938199618495771e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3452.3MB, alloc=4.4MB, time=292.31 NO POLE NO POLE x[1] = 1.072 y2[1] (analytic) = 1.521631131058552774700965186707 y2[1] (numeric) = 2.0378772502482233179687010819245 absolute error = 0.5162461191896705432677358952175 relative error = 33.927152819917250622722544072665 % h = 0.001 y1[1] (analytic) = 1.521631131058552774700965186707 y1[1] (numeric) = 1.5216311310585528125438725966229 absolute error = 3.78429074099159e-17 relative error = 2.4869961344435515992724227444389e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3456.1MB, alloc=4.4MB, time=292.95 NO POLE NO POLE x[1] = 1.073 y2[1] (analytic) = 1.5225095290942996371771154331449 y2[1] (numeric) = 2.0396338073304589027600732176762 absolute error = 0.5171242782361592655829577845313 relative error = 33.96525725154460765470042126219 % h = 0.001 y1[1] (analytic) = 1.5225095290942996371771154331449 y1[1] (numeric) = 1.5225095290942996750432685211348 absolute error = 3.78661530879899e-17 relative error = 2.4870880847961237922578536610097e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3459.9MB, alloc=4.4MB, time=293.57 NO POLE NO POLE x[1] = 1.074 y2[1] (analytic) = 1.5233884046204776144823793898327 y2[1] (numeric) = 2.0413913198328618867784966180873 absolute error = 0.5180029152123842722961172282546 relative error = 34.003338455332049974308677502126 % h = 0.001 y1[1] (analytic) = 1.5233884046204776144823793898327 y1[1] (numeric) = 1.5233884046204776523717354514416 absolute error = 3.78893560616089e-17 relative error = 2.4871763462744939956012698966493e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3463.7MB, alloc=4.4MB, time=294.19 NO POLE NO POLE x[1] = 1.075 y2[1] (analytic) = 1.5242677567582112536784044916836 y2[1] (numeric) = 2.043149785997919914080357583004 absolute error = 0.5188820292397086604019530913204 relative error = 34.041396397655148063478210082651 % h = 0.001 y1[1] (analytic) = 1.5242677567582112536784044916836 y1[1] (numeric) = 1.5242677567582112915909207992537 absolute error = 3.79125163075701e-17 relative error = 2.4872609250885057597212178569858e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3467.6MB, alloc=4.4MB, time=294.81 NO POLE NO POLE x[1] = 1.076 y2[1] (analytic) = 1.5251475846281484903108939111643 y2[1] (numeric) = 2.0449092040671669661464710141061 absolute error = 0.5197616194390184758355771029418 relative error = 34.079431045077736176604611645485 % h = 0.001 y1[1] (analytic) = 1.5251475846281484903108939111643 y1[1] (numeric) = 1.5251475846281485282465277138776 absolute error = 3.79356338027133e-17 relative error = 2.4873418274443596313651476166941e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3471.4MB, alloc=4.4MB, time=295.44 NO POLE NO POLE x[1] = 1.077 y2[1] (analytic) = 1.5260278873504615277615977332555 y2[1] (numeric) = 2.0466695722811851203479523952623 absolute error = 0.5206416849307235925863546620068 relative error = 34.117442364351437493950989824041 % h = 0.001 y1[1] (analytic) = 1.5260278873504615277615977332555 y1[1] (numeric) = 1.5260278873504615657203062571765 absolute error = 3.79587085239210e-17 relative error = 2.4874190595445883330759124789167e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3475.2MB, alloc=4.4MB, time=296.06 NO POLE NO POLE x[1] = 1.078 y2[1] (analytic) = 1.5269086640448477170760362547213 y2[1] (numeric) = 2.048430888879606309363993803259 absolute error = 0.5215222248347585922879575485377 relative error = 34.155430322415189434726927897888 % h = 0.001 y1[1] (analytic) = 1.5269086640448477170760362547213 y1[1] (numeric) = 1.5269086640448477550577767028396 absolute error = 3.79817404481183e-17 relative error = 2.4874926275880190004666883652104e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3479.0MB, alloc=4.4MB, time=296.68 NO POLE NO POLE x[1] = 1.079 y2[1] (analytic) = 1.527789913830530437266075580037 y2[1] (numeric) = 2.0501931521011140815497845312746 absolute error = 0.5224032382705836442837089512376 relative error = 34.193394886394769135880434878216 % h = 0.001 y1[1] (analytic) = 1.527789913830530437266075580037 y1[1] (numeric) = 1.5277899138305304752708051323104 absolute error = 3.80047295522734e-17 relative error = 2.4875625377697748929825276360652e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3482.8MB, alloc=4.4MB, time=297.30 x[1] = 1.08 y2[1] (analytic) = 1.528671635826259976086475211474 y2[1] (numeric) = 2.0519563601834453622528159573238 absolute error = 0.5232847243571853861663407458498 relative error = 34.231336023602319102600686999757 % h = 0.001 y1[1] (analytic) = 1.528671635826259976086475211474 y1[1] (numeric) = 1.5286716358262600141141510248712 absolute error = 3.80276758133972e-17 relative error = 2.4876287962812182946487742322670e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.081 y2[1] (analytic) = 1.5295538291503144112845268568664 y2[1] (numeric) = 2.0537205113633922160758093415151 absolute error = 0.5241666822130778047912824846487 relative error = 34.269253701535873036490428001252 % h = 0.001 y1[1] (analytic) = 1.5295538291503144112845268568664 y1[1] (numeric) = 1.5295538291503144493351060654099 absolute error = 3.80505792085435e-17 relative error = 2.4876914093099329100839395830290e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3486.6MB, alloc=4.4MB, time=297.92 NO POLE NO POLE x[1] = 1.082 y2[1] (analytic) = 1.5304364929205004923219032054952 y2[1] (numeric) = 2.0554856038768036100845042893398 absolute error = 0.5250491109563031177626010838446 relative error = 34.307147887878881847328073206372 % h = 0.001 y1[1] (analytic) = 1.5304364929205004923219032054952 y1[1] (numeric) = 1.530436492920500530395342920304 absolute error = 3.80734397148088e-17 relative error = 2.4877503830396802558978520790204e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3490.4MB, alloc=4.4MB, time=298.56 NO POLE NO POLE x[1] = 1.083 y2[1] (analytic) = 1.5313196262541545225678349503138 y2[1] (numeric) = 2.0572516359585871779585446733511 absolute error = 0.5259320097044326553907097230373 relative error = 34.345018550499739854300852641058 % h = 0.001 y1[1] (analytic) = 1.5313196262541545225678349503138 y1[1] (numeric) = 1.5313196262541545606640922596464 absolute error = 3.80962573093326e-17 relative error = 2.4878057236503889254431251363460e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3494.3MB, alloc=4.4MB, time=299.18 NO POLE NO POLE x[1] = 1.084 y2[1] (analytic) = 1.5322032282681432419627338634115 y2[1] (numeric) = 2.0590186058427109850836978624946 absolute error = 0.5268153775745677431209639990831 relative error = 34.382865657451311182551731602646 % h = 0.001 y1[1] (analytic) = 1.5322032282681432419627338634115 y1[1] (numeric) = 1.5322032282681432800817658327088 absolute error = 3.81190319692973e-17 relative error = 2.4878574373181178555880322998095e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3498.1MB, alloc=4.4MB, time=299.80 NO POLE NO POLE x[1] = 1.085 y2[1] (analytic) = 1.533087298078864710151379261166 y2[1] (numeric) = 2.0607865117622052945836421670182 absolute error = 0.5276992136833405844322629058522 relative error = 34.420689176970456360844363586476 % h = 0.001 y1[1] (analytic) = 1.533087298078864710151379261166 y1[1] (numeric) = 1.5330872980788647482931429330943 absolute error = 3.81417636719283e-17 relative error = 2.4879055302150328372726351403332e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3501.9MB, alloc=4.4MB, time=300.42 NO POLE NO POLE x[1] = 1.086 y2[1] (analytic) = 1.5339718348022491900847847259714 y2[1] (numeric) = 2.0625553519491643342895564673203 absolute error = 0.5285835171469151442047717413489 relative error = 34.458489077477559126111960624805 % h = 0.001 y1[1] (analytic) = 1.5339718348022491900847847259714 y1[1] (numeric) = 1.5339718348022492282492371204654 absolute error = 3.81644523944940e-17 relative error = 2.4879500085093766595859929640274e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3505.7MB, alloc=4.4MB, time=301.04 NO POLE NO POLE x[1] = 1.087 y2[1] (analytic) = 1.5348568375537600320898614827493 y2[1] (numeric) = 2.0643251246347480646457450572951 absolute error = 0.5294682870809880325558835745458 relative error = 34.49626532757605344061771024135 % h = 0.001 y1[1] (analytic) = 1.5348568375537600320898614827493 y1[1] (numeric) = 1.5348568375537600702769595970548 absolute error = 3.81870981143055e-17 relative error = 2.4879908783654198827125415011322e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3509.5MB, alloc=4.4MB, time=301.69 NO POLE NO POLE x[1] = 1.088 y2[1] (analytic) = 1.5357423054483945584059943606521 y2[1] (numeric) = 2.0660958280491839475495297966964 absolute error = 0.5303535226007893891435354360443 relative error = 34.534017896051950727416226706418 % h = 0.001 y1[1] (analytic) = 1.5357423054483945584059943606521 y1[1] (numeric) = 1.5357423054483945966156951693693 absolute error = 3.82097008087172e-17 relative error = 2.4880281459434704562612102265308e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3513.3MB, alloc=4.4MB, time=302.30 NO POLE NO POLE x[1] = 1.089 y2[1] (analytic) = 1.5366282376006849481876458034578 y2[1] (numeric) = 2.0678674604217687161236407327758 absolute error = 0.531239222821083767935994929318 relative error = 34.571746751873367329767497418791 % h = 0.001 y1[1] (analytic) = 1.5366282376006849481876458034578 y1[1] (numeric) = 1.5366282376006849864199062585841 absolute error = 3.82322604551263e-17 relative error = 2.4880618173998117907340877535198e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3517.2MB, alloc=4.4MB, time=302.92 NO POLE NO POLE x[1] = 1.09 y2[1] (analytic) = 1.5375146331246991229721029261249 y2[1] (numeric) = 2.0696400199808701454193354189522 absolute error = 0.5321253868561710224472324928273 relative error = 34.60945186419005220011687336148 % h = 0.001 y1[1] (analytic) = 1.5375146331246991229721029261249 y1[1] (numeric) = 1.5375146331246991612268799570981 absolute error = 3.82547770309732e-17 relative error = 2.4880918988866996509000603187623e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3521.0MB, alloc=4.4MB, time=303.54 NO POLE NO POLE x[1] = 1.091 y2[1] (analytic) = 1.5384014911340416326114821498343 y2[1] (numeric) = 2.0714135049539288240484762275401 absolute error = 0.5330120138198871914369940777058 relative error = 34.647133202332914824216855991117 % h = 0.001 y1[1] (analytic) = 1.5384014911340416326114821498343 y1[1] (numeric) = 1.5384014911340416708887326635757 absolute error = 3.82772505137414e-17 relative error = 2.4881183965523266305749199113813e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3524.8MB, alloc=4.4MB, time=304.17 NO POLE NO POLE x[1] = 1.092 y2[1] (analytic) = 1.5392888107418545416681054835882 y2[1] (numeric) = 2.0731879135674599267427940246083 absolute error = 0.5338991028256053850746885410201 relative error = 34.684790735813553385928751931619 % h = 0.001 y1[1] (analytic) = 1.5392888107418545416681054835882 y1[1] (numeric) = 1.5392888107418545799677863645455 absolute error = 3.82996808809573e-17 relative error = 2.4881413165407803256961004258685e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3528.6MB, alloc=4.4MB, time=304.81 NO POLE NO POLE x[1] = 1.093 y2[1] (analytic) = 1.5401765910608183162723620570624 y2[1] (numeric) = 2.0749632440470549878385656478515 absolute error = 0.5347866529862366715662035907891 relative error = 34.722424434323783178204701750422 % h = 0.001 y1[1] (analytic) = 1.5401765910608183162723620570624 y1[1] (numeric) = 1.540176591060818354594430167253 absolute error = 3.83220681101906e-17 relative error = 2.4881606649920406807040371225699e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3532.4MB, alloc=4.4MB, time=305.43 NO POLE NO POLE x[1] = 1.094 y2[1] (analytic) = 1.5410648312031527114421680469252 y2[1] (numeric) = 2.0767394946173836756849317029463 absolute error = 0.5356746634142309642427636560211 relative error = 34.760034267735165265713140192432 % h = 0.001 y1[1] (analytic) = 1.5410648312031527114421680469252 y1[1] (numeric) = 1.5410648312031527497865802259792 absolute error = 3.83444121790540e-17 relative error = 2.4881764480419319932126455447384e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3536.2MB, alloc=4.4MB, time=306.05 NO POLE NO POLE x[1] = 1.095 y2[1] (analytic) = 1.5419535302806176588631376772364 y2[1] (numeric) = 2.0785166635021955679740802702214 absolute error = 0.536563133221577909110942592985 relative error = 34.797620206098535404533412818221 % h = 0.001 y1[1] (analytic) = 1.5419535302806176588631376772364 y1[1] (numeric) = 1.54195353028061769722985074244 absolute error = 3.83667130652036e-17 relative error = 2.4881886718221205538557939206254e-15 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.096 y2[1] (analytic) = 1.5428426874045141551285775138303 y2[1] (numeric) = 2.0802947489243219279915211916058 absolute error = 0.5374520615198077728629436777755 relative error = 34.835182219643533224308058317599 % h = 0.001 y1[1] (analytic) = 1.5428426874045141551285775138303 y1[1] (numeric) = 1.5428426874045141935175482601686 absolute error = 3.83889707463383e-17 relative error = 2.4881973424600475513169425388776e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3540.0MB, alloc=4.4MB, time=306.67 NO POLE NO POLE x[1] = 1.097 y2[1] (analytic) = 1.5437323016856851504384158127608 y2[1] (numeric) = 2.0820737491056774817846746877291 absolute error = 0.5383414474199923313462588749683 relative error = 34.872720278778131678204167120126 % h = 0.001 y1[1] (analytic) = 1.5437323016856851504384158127608 y1[1] (numeric) = 1.5437323016856851888496010129614 absolute error = 3.84111852002006e-17 relative error = 2.4882024660789529710860250463195e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3543.9MB, alloc=4.4MB, time=307.29 NO POLE NO POLE x[1] = 1.098 y2[1] (analytic) = 1.5446223722345164377561782239551 y2[1] (numeric) = 2.0838536622672621962479971367336 absolute error = 0.5392312900327457584918189127785 relative error = 34.910234354088166765998245564901 % h = 0.001 y1[1] (analytic) = 1.5446223722345164377561782239551 y1[1] (numeric) = 1.5446223722345164761895346285311 absolute error = 3.84333564045760e-17 relative error = 2.4882040487978088472652511971220e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3547.7MB, alloc=4.4MB, time=307.91 NO POLE NO POLE x[1] = 1.099 y2[1] (analytic) = 1.5455128981609375424231206931733 y2[1] (numeric) = 2.0856344866291630581228659298198 absolute error = 0.5401215884682255156997452366465 relative error = 34.947724416336867535562151083146 % h = 0.001 y1[1] (analytic) = 1.5455128981609375424231206931733 y1[1] (numeric) = 1.5455128981609375808786050304666 absolute error = 3.84554843372933e-17 relative error = 2.4882020967313110508250231174186e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=3551.5MB, alloc=4.4MB, time=308.53 NO POLE NO POLE x[1] = 1.1 y2[1] (analytic) = 1.5464038785744226122286299482153 y2[1] (numeric) = 2.0874162204105558539104444037899 absolute error = 0.5410123418361332416818144555746 relative error = 34.985190436464386367990917840411 % h = 0.001 y1[1] (analytic) = 1.5464038785744226122286299482153 y1[1] (numeric) = 1.5464038785744226507061989244398 absolute error = 3.84775689762245e-17 relative error = 2.4881966159898453126516770326978e-15 % h = 0.001 Finished! Maximum Iterations Reached before Solution Completed! diff ( y2 , x , 1 ) = diff ( y1, x , 1) ; diff ( y1 , x , 1 ) = sin ( x ) ; Iterations = 1000 Total Elapsed Time = 5 Minutes 8 Seconds Elapsed Time(since restart) = 5 Minutes 8 Seconds Expected Time Remaining = 20 Minutes 3 Seconds Optimized Time Remaining = 20 Minutes 3 Seconds Time to Timeout = 9 Minutes 51 Seconds Percent Done = 20.43 % > quit memory used=3554.3MB, alloc=4.4MB, time=308.97