|\^/| 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 > glob_iolevel, > INFO, > DEBUGL, > glob_max_terms, > DEBUGMASSIVE, > ALWAYS, > #Top Generate Globals Decl > glob_max_minutes, > glob_iter, > glob_orig_start_sec, > centuries_in_millinium, > glob_html_log, > glob_log10abserr, > glob_unchanged_h_cnt, > glob_max_rel_trunc_err, > glob_last_good_h, > glob_disp_incr, > glob_initial_pass, > glob_clock_start_sec, > glob_curr_iter_when_opt, > glob_warned2, > glob_small_float, > glob_log10_relerr, > glob_not_yet_start_msg, > hours_in_day, > glob_max_opt_iter, > glob_warned, > glob_optimal_clock_start_sec, > glob_hmin_init, > glob_h, > glob_optimal_done, > min_in_hour, > glob_dump, > glob_log10normmin, > glob_subiter_method, > glob_relerr, > glob_abserr, > glob_dump_analytic, > glob_display_flag, > glob_max_sec, > glob_max_hours, > glob_not_yet_finished, > djd_debug, > MAX_UNCHANGED, > glob_start, > glob_optimal_start, > glob_log10_abserr, > glob_look_poles, > sec_in_min, > glob_optimal_expect_sec, > glob_max_trunc_err, > glob_hmin, > glob_reached_optimal_h, > days_in_year, > glob_current_iter, > glob_smallish_float, > glob_max_iter, > glob_large_float, > djd_debug2, > glob_percent_done, > glob_clock_sec, > years_in_century, > glob_log10relerr, > glob_normmax, > glob_no_eqs, > glob_hmax, > glob_almost_1, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_3, > array_const_1, > array_const_4, > array_const_1D0, > array_const_0D0, > #END CONST > array_y2_init, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_last_rel_error, > array_y1_init, > array_pole, > array_norms, > array_type_pole, > array_x, > array_m1, > array_y2, > array_y1, > array_1st_rel_error, > array_poles, > array_y2_set_initial, > array_y1_higher_work2, > array_y2_higher_work2, > array_complex_pole, > array_y1_higher, > array_y2_higher, > array_real_pole, > array_y1_set_initial, > array_y1_higher_work, > array_y2_higher_work, > 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 glob_iolevel, INFO, DEBUGL, glob_max_terms, DEBUGMASSIVE, ALWAYS, glob_max_minutes, glob_iter, glob_orig_start_sec, centuries_in_millinium, glob_html_log, glob_log10abserr, glob_unchanged_h_cnt, glob_max_rel_trunc_err, glob_last_good_h, glob_disp_incr, glob_initial_pass, glob_clock_start_sec, glob_curr_iter_when_opt, glob_warned2, glob_small_float, glob_log10_relerr, glob_not_yet_start_msg, hours_in_day, glob_max_opt_iter, glob_warned, glob_optimal_clock_start_sec, glob_hmin_init, glob_h, glob_optimal_done, min_in_hour, glob_dump, glob_log10normmin, glob_subiter_method, glob_relerr, glob_abserr, glob_dump_analytic, glob_display_flag, glob_max_sec, glob_max_hours, glob_not_yet_finished, djd_debug, MAX_UNCHANGED, glob_start, glob_optimal_start, glob_log10_abserr, glob_look_poles, sec_in_min, glob_optimal_expect_sec, glob_max_trunc_err, glob_hmin, glob_reached_optimal_h, days_in_year, glob_current_iter, glob_smallish_float, glob_max_iter, glob_large_float, djd_debug2, glob_percent_done, glob_clock_sec, years_in_century, glob_log10relerr, glob_normmax, glob_no_eqs, glob_hmax, glob_almost_1, array_const_3, array_const_1, array_const_4, array_const_1D0, array_const_0D0, array_y2_init, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_last_rel_error, array_y1_init, array_pole, array_norms, array_type_pole, array_x, array_m1, array_y2, array_y1, array_1st_rel_error, array_poles, array_y2_set_initial, array_y1_higher_work2, array_y2_higher_work2, array_complex_pole, array_y1_higher, array_y2_higher, array_real_pole, array_y1_set_initial, array_y1_higher_work, array_y2_higher_work, 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 > glob_iolevel, > INFO, > DEBUGL, > glob_max_terms, > DEBUGMASSIVE, > ALWAYS, > #Top Generate Globals Decl > glob_max_minutes, > glob_iter, > glob_orig_start_sec, > centuries_in_millinium, > glob_html_log, > glob_log10abserr, > glob_unchanged_h_cnt, > glob_max_rel_trunc_err, > glob_last_good_h, > glob_disp_incr, > glob_initial_pass, > glob_clock_start_sec, > glob_curr_iter_when_opt, > glob_warned2, > glob_small_float, > glob_log10_relerr, > glob_not_yet_start_msg, > hours_in_day, > glob_max_opt_iter, > glob_warned, > glob_optimal_clock_start_sec, > glob_hmin_init, > glob_h, > glob_optimal_done, > min_in_hour, > glob_dump, > glob_log10normmin, > glob_subiter_method, > glob_relerr, > glob_abserr, > glob_dump_analytic, > glob_display_flag, > glob_max_sec, > glob_max_hours, > glob_not_yet_finished, > djd_debug, > MAX_UNCHANGED, > glob_start, > glob_optimal_start, > glob_log10_abserr, > glob_look_poles, > sec_in_min, > glob_optimal_expect_sec, > glob_max_trunc_err, > glob_hmin, > glob_reached_optimal_h, > days_in_year, > glob_current_iter, > glob_smallish_float, > glob_max_iter, > glob_large_float, > djd_debug2, > glob_percent_done, > glob_clock_sec, > years_in_century, > glob_log10relerr, > glob_normmax, > glob_no_eqs, > glob_hmax, > glob_almost_1, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_3, > array_const_1, > array_const_4, > array_const_1D0, > array_const_0D0, > #END CONST > array_y2_init, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_last_rel_error, > array_y1_init, > array_pole, > array_norms, > array_type_pole, > array_x, > array_m1, > array_y2, > array_y1, > array_1st_rel_error, > array_poles, > array_y2_set_initial, > array_y1_higher_work2, > array_y2_higher_work2, > array_complex_pole, > array_y1_higher, > array_y2_higher, > array_real_pole, > array_y1_set_initial, > array_y1_higher_work, > array_y2_higher_work, > 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 glob_iolevel, INFO, DEBUGL, glob_max_terms, DEBUGMASSIVE, ALWAYS, glob_max_minutes, glob_iter, glob_orig_start_sec, centuries_in_millinium, glob_html_log, glob_log10abserr, glob_unchanged_h_cnt, glob_max_rel_trunc_err, glob_last_good_h, glob_disp_incr, glob_initial_pass, glob_clock_start_sec, glob_curr_iter_when_opt, glob_warned2, glob_small_float, glob_log10_relerr, glob_not_yet_start_msg, hours_in_day, glob_max_opt_iter, glob_warned, glob_optimal_clock_start_sec, glob_hmin_init, glob_h, glob_optimal_done, min_in_hour, glob_dump, glob_log10normmin, glob_subiter_method, glob_relerr, glob_abserr, glob_dump_analytic, glob_display_flag, glob_max_sec, glob_max_hours, glob_not_yet_finished, djd_debug, MAX_UNCHANGED, glob_start, glob_optimal_start, glob_log10_abserr, glob_look_poles, sec_in_min, glob_optimal_expect_sec, glob_max_trunc_err, glob_hmin, glob_reached_optimal_h, days_in_year, glob_current_iter, glob_smallish_float, glob_max_iter, glob_large_float, djd_debug2, glob_percent_done, glob_clock_sec, years_in_century, glob_log10relerr, glob_normmax, glob_no_eqs, glob_hmax, glob_almost_1, array_const_3, array_const_1, array_const_4, array_const_1D0, array_const_0D0, array_y2_init, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_last_rel_error, array_y1_init, array_pole, array_norms, array_type_pole, array_x, array_m1, array_y2, array_y1, array_1st_rel_error, array_poles, array_y2_set_initial, array_y1_higher_work2, array_y2_higher_work2, array_complex_pole, array_y1_higher, array_y2_higher, array_real_pole, array_y1_set_initial, array_y1_higher_work, array_y2_higher_work, 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 > glob_iolevel, > INFO, > DEBUGL, > glob_max_terms, > DEBUGMASSIVE, > ALWAYS, > #Top Generate Globals Decl > glob_max_minutes, > glob_iter, > glob_orig_start_sec, > centuries_in_millinium, > glob_html_log, > glob_log10abserr, > glob_unchanged_h_cnt, > glob_max_rel_trunc_err, > glob_last_good_h, > glob_disp_incr, > glob_initial_pass, > glob_clock_start_sec, > glob_curr_iter_when_opt, > glob_warned2, > glob_small_float, > glob_log10_relerr, > glob_not_yet_start_msg, > hours_in_day, > glob_max_opt_iter, > glob_warned, > glob_optimal_clock_start_sec, > glob_hmin_init, > glob_h, > glob_optimal_done, > min_in_hour, > glob_dump, > glob_log10normmin, > glob_subiter_method, > glob_relerr, > glob_abserr, > glob_dump_analytic, > glob_display_flag, > glob_max_sec, > glob_max_hours, > glob_not_yet_finished, > djd_debug, > MAX_UNCHANGED, > glob_start, > glob_optimal_start, > glob_log10_abserr, > glob_look_poles, > sec_in_min, > glob_optimal_expect_sec, > glob_max_trunc_err, > glob_hmin, > glob_reached_optimal_h, > days_in_year, > glob_current_iter, > glob_smallish_float, > glob_max_iter, > glob_large_float, > djd_debug2, > glob_percent_done, > glob_clock_sec, > years_in_century, > glob_log10relerr, > glob_normmax, > glob_no_eqs, > glob_hmax, > glob_almost_1, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_3, > array_const_1, > array_const_4, > array_const_1D0, > array_const_0D0, > #END CONST > array_y2_init, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_last_rel_error, > array_y1_init, > array_pole, > array_norms, > array_type_pole, > array_x, > array_m1, > array_y2, > array_y1, > array_1st_rel_error, > array_poles, > array_y2_set_initial, > array_y1_higher_work2, > array_y2_higher_work2, > array_complex_pole, > array_y1_higher, > array_y2_higher, > array_real_pole, > array_y1_set_initial, > array_y1_higher_work, > array_y2_higher_work, > 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 glob_iolevel, INFO, DEBUGL, glob_max_terms, DEBUGMASSIVE, ALWAYS, glob_max_minutes, glob_iter, glob_orig_start_sec, centuries_in_millinium, glob_html_log, glob_log10abserr, glob_unchanged_h_cnt, glob_max_rel_trunc_err, glob_last_good_h, glob_disp_incr, glob_initial_pass, glob_clock_start_sec, glob_curr_iter_when_opt, glob_warned2, glob_small_float, glob_log10_relerr, glob_not_yet_start_msg, hours_in_day, glob_max_opt_iter, glob_warned, glob_optimal_clock_start_sec, glob_hmin_init, glob_h, glob_optimal_done, min_in_hour, glob_dump, glob_log10normmin, glob_subiter_method, glob_relerr, glob_abserr, glob_dump_analytic, glob_display_flag, glob_max_sec, glob_max_hours, glob_not_yet_finished, djd_debug, MAX_UNCHANGED, glob_start, glob_optimal_start, glob_log10_abserr, glob_look_poles, sec_in_min, glob_optimal_expect_sec, glob_max_trunc_err, glob_hmin, glob_reached_optimal_h, days_in_year, glob_current_iter, glob_smallish_float, glob_max_iter, glob_large_float, djd_debug2, glob_percent_done, glob_clock_sec, years_in_century, glob_log10relerr, glob_normmax, glob_no_eqs, glob_hmax, glob_almost_1, array_const_3, array_const_1, array_const_4, array_const_1D0, array_const_0D0, array_y2_init, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_last_rel_error, array_y1_init, array_pole, array_norms, array_type_pole, array_x, array_m1, array_y2, array_y1, array_1st_rel_error, array_poles, array_y2_set_initial, array_y1_higher_work2, array_y2_higher_work2, array_complex_pole, array_y1_higher, array_y2_higher, array_real_pole, array_y1_set_initial, array_y1_higher_work, array_y2_higher_work, 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 > glob_iolevel, > INFO, > DEBUGL, > glob_max_terms, > DEBUGMASSIVE, > ALWAYS, > #Top Generate Globals Decl > glob_max_minutes, > glob_iter, > glob_orig_start_sec, > centuries_in_millinium, > glob_html_log, > glob_log10abserr, > glob_unchanged_h_cnt, > glob_max_rel_trunc_err, > glob_last_good_h, > glob_disp_incr, > glob_initial_pass, > glob_clock_start_sec, > glob_curr_iter_when_opt, > glob_warned2, > glob_small_float, > glob_log10_relerr, > glob_not_yet_start_msg, > hours_in_day, > glob_max_opt_iter, > glob_warned, > glob_optimal_clock_start_sec, > glob_hmin_init, > glob_h, > glob_optimal_done, > min_in_hour, > glob_dump, > glob_log10normmin, > glob_subiter_method, > glob_relerr, > glob_abserr, > glob_dump_analytic, > glob_display_flag, > glob_max_sec, > glob_max_hours, > glob_not_yet_finished, > djd_debug, > MAX_UNCHANGED, > glob_start, > glob_optimal_start, > glob_log10_abserr, > glob_look_poles, > sec_in_min, > glob_optimal_expect_sec, > glob_max_trunc_err, > glob_hmin, > glob_reached_optimal_h, > days_in_year, > glob_current_iter, > glob_smallish_float, > glob_max_iter, > glob_large_float, > djd_debug2, > glob_percent_done, > glob_clock_sec, > years_in_century, > glob_log10relerr, > glob_normmax, > glob_no_eqs, > glob_hmax, > glob_almost_1, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_3, > array_const_1, > array_const_4, > array_const_1D0, > array_const_0D0, > #END CONST > array_y2_init, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_last_rel_error, > array_y1_init, > array_pole, > array_norms, > array_type_pole, > array_x, > array_m1, > array_y2, > array_y1, > array_1st_rel_error, > array_poles, > array_y2_set_initial, > array_y1_higher_work2, > array_y2_higher_work2, > array_complex_pole, > array_y1_higher, > array_y2_higher, > array_real_pole, > array_y1_set_initial, > array_y1_higher_work, > array_y2_higher_work, > 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 - 4 - 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 - 4 - 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 glob_iolevel, INFO, DEBUGL, glob_max_terms, DEBUGMASSIVE, ALWAYS, glob_max_minutes, glob_iter, glob_orig_start_sec, centuries_in_millinium, glob_html_log, glob_log10abserr, glob_unchanged_h_cnt, glob_max_rel_trunc_err, glob_last_good_h, glob_disp_incr, glob_initial_pass, glob_clock_start_sec, glob_curr_iter_when_opt, glob_warned2, glob_small_float, glob_log10_relerr, glob_not_yet_start_msg, hours_in_day, glob_max_opt_iter, glob_warned, glob_optimal_clock_start_sec, glob_hmin_init, glob_h, glob_optimal_done, min_in_hour, glob_dump, glob_log10normmin, glob_subiter_method, glob_relerr, glob_abserr, glob_dump_analytic, glob_display_flag, glob_max_sec, glob_max_hours, glob_not_yet_finished, djd_debug, MAX_UNCHANGED, glob_start, glob_optimal_start, glob_log10_abserr, glob_look_poles, sec_in_min, glob_optimal_expect_sec, glob_max_trunc_err, glob_hmin, glob_reached_optimal_h, days_in_year, glob_current_iter, glob_smallish_float, glob_max_iter, glob_large_float, djd_debug2, glob_percent_done, glob_clock_sec, years_in_century, glob_log10relerr, glob_normmax, glob_no_eqs, glob_hmax, glob_almost_1, array_const_3, array_const_1, array_const_4, array_const_1D0, array_const_0D0, array_y2_init, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_last_rel_error, array_y1_init, array_pole, array_norms, array_type_pole, array_x, array_m1, array_y2, array_y1, array_1st_rel_error, array_poles, array_y2_set_initial, array_y1_higher_work2, array_y2_higher_work2, array_complex_pole, array_y1_higher, array_y2_higher, array_real_pole, array_y1_set_initial, array_y1_higher_work, array_y2_higher_work, glob_last; n := glob_max_terms; m := n - 5; 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 - 5; 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 > glob_iolevel, > INFO, > DEBUGL, > glob_max_terms, > DEBUGMASSIVE, > ALWAYS, > #Top Generate Globals Decl > glob_max_minutes, > glob_iter, > glob_orig_start_sec, > centuries_in_millinium, > glob_html_log, > glob_log10abserr, > glob_unchanged_h_cnt, > glob_max_rel_trunc_err, > glob_last_good_h, > glob_disp_incr, > glob_initial_pass, > glob_clock_start_sec, > glob_curr_iter_when_opt, > glob_warned2, > glob_small_float, > glob_log10_relerr, > glob_not_yet_start_msg, > hours_in_day, > glob_max_opt_iter, > glob_warned, > glob_optimal_clock_start_sec, > glob_hmin_init, > glob_h, > glob_optimal_done, > min_in_hour, > glob_dump, > glob_log10normmin, > glob_subiter_method, > glob_relerr, > glob_abserr, > glob_dump_analytic, > glob_display_flag, > glob_max_sec, > glob_max_hours, > glob_not_yet_finished, > djd_debug, > MAX_UNCHANGED, > glob_start, > glob_optimal_start, > glob_log10_abserr, > glob_look_poles, > sec_in_min, > glob_optimal_expect_sec, > glob_max_trunc_err, > glob_hmin, > glob_reached_optimal_h, > days_in_year, > glob_current_iter, > glob_smallish_float, > glob_max_iter, > glob_large_float, > djd_debug2, > glob_percent_done, > glob_clock_sec, > years_in_century, > glob_log10relerr, > glob_normmax, > glob_no_eqs, > glob_hmax, > glob_almost_1, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_3, > array_const_1, > array_const_4, > array_const_1D0, > array_const_0D0, > #END CONST > array_y2_init, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_last_rel_error, > array_y1_init, > array_pole, > array_norms, > array_type_pole, > array_x, > array_m1, > array_y2, > array_y1, > array_1st_rel_error, > array_poles, > array_y2_set_initial, > array_y1_higher_work2, > array_y2_higher_work2, > array_complex_pole, > array_y1_higher, > array_y2_higher, > array_real_pole, > array_y1_set_initial, > array_y1_higher_work, > array_y2_higher_work, > 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 glob_iolevel, INFO, DEBUGL, glob_max_terms, DEBUGMASSIVE, ALWAYS, glob_max_minutes, glob_iter, glob_orig_start_sec, centuries_in_millinium, glob_html_log, glob_log10abserr, glob_unchanged_h_cnt, glob_max_rel_trunc_err, glob_last_good_h, glob_disp_incr, glob_initial_pass, glob_clock_start_sec, glob_curr_iter_when_opt, glob_warned2, glob_small_float, glob_log10_relerr, glob_not_yet_start_msg, hours_in_day, glob_max_opt_iter, glob_warned, glob_optimal_clock_start_sec, glob_hmin_init, glob_h, glob_optimal_done, min_in_hour, glob_dump, glob_log10normmin, glob_subiter_method, glob_relerr, glob_abserr, glob_dump_analytic, glob_display_flag, glob_max_sec, glob_max_hours, glob_not_yet_finished, djd_debug, MAX_UNCHANGED, glob_start, glob_optimal_start, glob_log10_abserr, glob_look_poles, sec_in_min, glob_optimal_expect_sec, glob_max_trunc_err, glob_hmin, glob_reached_optimal_h, days_in_year, glob_current_iter, glob_smallish_float, glob_max_iter, glob_large_float, djd_debug2, glob_percent_done, glob_clock_sec, years_in_century, glob_log10relerr, glob_normmax, glob_no_eqs, glob_hmax, glob_almost_1, array_const_3, array_const_1, array_const_4, array_const_1D0, array_const_0D0, array_y2_init, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_last_rel_error, array_y1_init, array_pole, array_norms, array_type_pole, array_x, array_m1, array_y2, array_y1, array_1st_rel_error, array_poles, array_y2_set_initial, array_y1_higher_work2, array_y2_higher_work2, array_complex_pole, array_y1_higher, array_y2_higher, array_real_pole, array_y1_set_initial, array_y1_higher_work, array_y2_higher_work, 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 > glob_iolevel, > INFO, > DEBUGL, > glob_max_terms, > DEBUGMASSIVE, > ALWAYS, > #Top Generate Globals Decl > glob_max_minutes, > glob_iter, > glob_orig_start_sec, > centuries_in_millinium, > glob_html_log, > glob_log10abserr, > glob_unchanged_h_cnt, > glob_max_rel_trunc_err, > glob_last_good_h, > glob_disp_incr, > glob_initial_pass, > glob_clock_start_sec, > glob_curr_iter_when_opt, > glob_warned2, > glob_small_float, > glob_log10_relerr, > glob_not_yet_start_msg, > hours_in_day, > glob_max_opt_iter, > glob_warned, > glob_optimal_clock_start_sec, > glob_hmin_init, > glob_h, > glob_optimal_done, > min_in_hour, > glob_dump, > glob_log10normmin, > glob_subiter_method, > glob_relerr, > glob_abserr, > glob_dump_analytic, > glob_display_flag, > glob_max_sec, > glob_max_hours, > glob_not_yet_finished, > djd_debug, > MAX_UNCHANGED, > glob_start, > glob_optimal_start, > glob_log10_abserr, > glob_look_poles, > sec_in_min, > glob_optimal_expect_sec, > glob_max_trunc_err, > glob_hmin, > glob_reached_optimal_h, > days_in_year, > glob_current_iter, > glob_smallish_float, > glob_max_iter, > glob_large_float, > djd_debug2, > glob_percent_done, > glob_clock_sec, > years_in_century, > glob_log10relerr, > glob_normmax, > glob_no_eqs, > glob_hmax, > glob_almost_1, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_3, > array_const_1, > array_const_4, > array_const_1D0, > array_const_0D0, > #END CONST > array_y2_init, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_last_rel_error, > array_y1_init, > array_pole, > array_norms, > array_type_pole, > array_x, > array_m1, > array_y2, > array_y1, > array_1st_rel_error, > array_poles, > array_y2_set_initial, > array_y1_higher_work2, > array_y2_higher_work2, > array_complex_pole, > array_y1_higher, > array_y2_higher, > array_real_pole, > array_y1_set_initial, > array_y1_higher_work, > array_y2_higher_work, > glob_last; > > local kkk, order_d, adj2, temporary, term; > #TOP ATOMALL > #END OUTFILE1 > #BEGIN ATOMHDR1 > #emit pre add $eq_no = 1 i = 1 > array_tmp1[1] := array_const_0D0[1] + array_y1[1]; > #emit pre sub $eq_no = 1 i = 1 > array_tmp2[1] := (array_tmp1[1] - (array_const_1D0[1])); > #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5 > if not array_y2_set_initial[1,5] then # if number 1 > if (1 <= glob_max_terms) then # if number 2 > temporary := array_tmp2[1] * (glob_h ^ (4)) * factorial_3(0,4); > array_y2[5] := temporary; > array_y2_higher[1,5] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,4] := temporary > ; > temporary := temporary / glob_h * (3.0); > array_y2_higher[3,3] := temporary > ; > temporary := temporary / glob_h * (4.0); > array_y2_higher[4,2] := temporary > ; > temporary := temporary / glob_h * (5.0); > array_y2_higher[5,1] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 2; > #emit pre diff $eq_no = 2 i = 1 > array_tmp4[1] := array_y2_higher[4,1]; > # emit pre mult $eq_no = 2 i = 1 > array_tmp5[1] := (array_m1[1] * (array_tmp4[1])); > #emit pre assign xxx $eq_no = 2 i = 1 $min_hdrs = 5 > if not array_y1_set_initial[2,2] then # if number 1 > if (1 <= glob_max_terms) then # if number 2 > temporary := array_tmp5[1] * (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 add $eq_no = 1 i = 2 > array_tmp1[2] := array_const_0D0[2] + array_y1[2]; > #emit pre sub $eq_no = 1 i = 2 > array_tmp2[2] := (array_tmp1[2] - (array_const_1D0[2])); > #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5 > if not array_y2_set_initial[1,6] then # if number 1 > if (2 <= glob_max_terms) then # if number 2 > temporary := array_tmp2[2] * (glob_h ^ (4)) * factorial_3(1,5); > array_y2[6] := temporary; > array_y2_higher[1,6] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,5] := temporary > ; > temporary := temporary / glob_h * (3.0); > array_y2_higher[3,4] := temporary > ; > temporary := temporary / glob_h * (4.0); > array_y2_higher[4,3] := temporary > ; > temporary := temporary / glob_h * (5.0); > array_y2_higher[5,2] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 3; > #emit pre diff $eq_no = 2 i = 2 > array_tmp4[2] := array_y2_higher[4,2]; > # emit pre mult $eq_no = 2 i = 2 > array_tmp5[2] := ats(2,array_m1,array_tmp4,1); > #emit pre assign xxx $eq_no = 2 i = 2 $min_hdrs = 5 > if not array_y1_set_initial[2,3] then # if number 1 > if (2 <= glob_max_terms) then # if number 2 > temporary := array_tmp5[2] * (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 add $eq_no = 1 i = 3 > array_tmp1[3] := array_const_0D0[3] + array_y1[3]; > #emit pre sub $eq_no = 1 i = 3 > array_tmp2[3] := (array_tmp1[3] - (array_const_1D0[3])); > #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5 > if not array_y2_set_initial[1,7] then # if number 1 > if (3 <= glob_max_terms) then # if number 2 > temporary := array_tmp2[3] * (glob_h ^ (4)) * factorial_3(2,6); > array_y2[7] := temporary; > array_y2_higher[1,7] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,6] := temporary > ; > temporary := temporary / glob_h * (3.0); > array_y2_higher[3,5] := temporary > ; > temporary := temporary / glob_h * (4.0); > array_y2_higher[4,4] := temporary > ; > temporary := temporary / glob_h * (5.0); > array_y2_higher[5,3] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 4; > #emit pre diff $eq_no = 2 i = 3 > array_tmp4[3] := array_y2_higher[4,3]; > # emit pre mult $eq_no = 2 i = 3 > array_tmp5[3] := ats(3,array_m1,array_tmp4,1); > #emit pre assign xxx $eq_no = 2 i = 3 $min_hdrs = 5 > if not array_y1_set_initial[2,4] then # if number 1 > if (3 <= glob_max_terms) then # if number 2 > temporary := array_tmp5[3] * (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 add $eq_no = 1 i = 4 > array_tmp1[4] := array_const_0D0[4] + array_y1[4]; > #emit pre sub $eq_no = 1 i = 4 > array_tmp2[4] := (array_tmp1[4] - (array_const_1D0[4])); > #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5 > if not array_y2_set_initial[1,8] then # if number 1 > if (4 <= glob_max_terms) then # if number 2 > temporary := array_tmp2[4] * (glob_h ^ (4)) * factorial_3(3,7); > array_y2[8] := temporary; > array_y2_higher[1,8] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,7] := temporary > ; > temporary := temporary / glob_h * (3.0); > array_y2_higher[3,6] := temporary > ; > temporary := temporary / glob_h * (4.0); > array_y2_higher[4,5] := temporary > ; > temporary := temporary / glob_h * (5.0); > array_y2_higher[5,4] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 5; > #emit pre diff $eq_no = 2 i = 4 > array_tmp4[4] := array_y2_higher[4,4]; > # emit pre mult $eq_no = 2 i = 4 > array_tmp5[4] := ats(4,array_m1,array_tmp4,1); > #emit pre assign xxx $eq_no = 2 i = 4 $min_hdrs = 5 > if not array_y1_set_initial[2,5] then # if number 1 > if (4 <= glob_max_terms) then # if number 2 > temporary := array_tmp5[4] * (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 add $eq_no = 1 i = 5 > array_tmp1[5] := array_const_0D0[5] + array_y1[5]; > #emit pre sub $eq_no = 1 i = 5 > array_tmp2[5] := (array_tmp1[5] - (array_const_1D0[5])); > #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5 > if not array_y2_set_initial[1,9] then # if number 1 > if (5 <= glob_max_terms) then # if number 2 > temporary := array_tmp2[5] * (glob_h ^ (4)) * factorial_3(4,8); > array_y2[9] := temporary; > array_y2_higher[1,9] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,8] := temporary > ; > temporary := temporary / glob_h * (3.0); > array_y2_higher[3,7] := temporary > ; > temporary := temporary / glob_h * (4.0); > array_y2_higher[4,6] := temporary > ; > temporary := temporary / glob_h * (5.0); > array_y2_higher[5,5] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 6; > #emit pre diff $eq_no = 2 i = 5 > array_tmp4[5] := array_y2_higher[4,5]; > # emit pre mult $eq_no = 2 i = 5 > array_tmp5[5] := ats(5,array_m1,array_tmp4,1); > #emit pre assign xxx $eq_no = 2 i = 5 $min_hdrs = 5 > if not array_y1_set_initial[2,6] then # if number 1 > if (5 <= glob_max_terms) then # if number 2 > temporary := array_tmp5[5] * (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 add $eq_no = 1 > array_tmp1[kkk] := array_const_0D0[kkk] + array_y1[kkk]; > #emit sub $eq_no = 1 > array_tmp2[kkk] := (array_tmp1[kkk] - (array_const_1D0[kkk])); > #emit assign $eq_no = 1 > order_d := 4; > 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 diff $eq_no = 2 > array_tmp4[kkk] := array_y2_higher[4,kkk]; > #emit mult $eq_no = 2 > array_tmp5[kkk] := ats(kkk,array_m1,array_tmp4,1); > #emit assign $eq_no = 2 > order_d := 1; > if (kkk + order_d + 1 <= glob_max_terms) then # if number 1 > if not array_y1_set_initial[2,kkk + order_d] then # if number 2 > temporary := array_tmp5[kkk] * (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 glob_iolevel, INFO, DEBUGL, glob_max_terms, DEBUGMASSIVE, ALWAYS, glob_max_minutes, glob_iter, glob_orig_start_sec, centuries_in_millinium, glob_html_log, glob_log10abserr, glob_unchanged_h_cnt, glob_max_rel_trunc_err, glob_last_good_h, glob_disp_incr, glob_initial_pass, glob_clock_start_sec, glob_curr_iter_when_opt, glob_warned2, glob_small_float, glob_log10_relerr, glob_not_yet_start_msg, hours_in_day, glob_max_opt_iter, glob_warned, glob_optimal_clock_start_sec, glob_hmin_init, glob_h, glob_optimal_done, min_in_hour, glob_dump, glob_log10normmin, glob_subiter_method, glob_relerr, glob_abserr, glob_dump_analytic, glob_display_flag, glob_max_sec, glob_max_hours, glob_not_yet_finished, djd_debug, MAX_UNCHANGED, glob_start, glob_optimal_start, glob_log10_abserr, glob_look_poles, sec_in_min, glob_optimal_expect_sec, glob_max_trunc_err, glob_hmin, glob_reached_optimal_h, days_in_year, glob_current_iter, glob_smallish_float, glob_max_iter, glob_large_float, djd_debug2, glob_percent_done, glob_clock_sec, years_in_century, glob_log10relerr, glob_normmax, glob_no_eqs, glob_hmax, glob_almost_1, array_const_3, array_const_1, array_const_4, array_const_1D0, array_const_0D0, array_y2_init, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_last_rel_error, array_y1_init, array_pole, array_norms, array_type_pole, array_x, array_m1, array_y2, array_y1, array_1st_rel_error, array_poles, array_y2_set_initial, array_y1_higher_work2, array_y2_higher_work2, array_complex_pole, array_y1_higher, array_y2_higher, array_real_pole, array_y1_set_initial, array_y1_higher_work, array_y2_higher_work, glob_last; array_tmp1[1] := array_const_0D0[1] + array_y1[1]; array_tmp2[1] := array_tmp1[1] - array_const_1D0[1]; if not array_y2_set_initial[1, 5] then if 1 <= glob_max_terms then temporary := array_tmp2[1]*glob_h^4*factorial_3(0, 4); array_y2[5] := temporary; array_y2_higher[1, 5] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 4] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[3, 3] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[4, 2] := temporary; temporary := temporary*5.0/glob_h; array_y2_higher[5, 1] := temporary end if end if; kkk := 2; array_tmp4[1] := array_y2_higher[4, 1]; array_tmp5[1] := array_m1[1]*array_tmp4[1]; if not array_y1_set_initial[2, 2] then if 1 <= glob_max_terms then temporary := array_tmp5[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_const_0D0[2] + array_y1[2]; array_tmp2[2] := array_tmp1[2] - array_const_1D0[2]; if not array_y2_set_initial[1, 6] then if 2 <= glob_max_terms then temporary := array_tmp2[2]*glob_h^4*factorial_3(1, 5); array_y2[6] := temporary; array_y2_higher[1, 6] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 5] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[3, 4] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[4, 3] := temporary; temporary := temporary*5.0/glob_h; array_y2_higher[5, 2] := temporary end if end if; kkk := 3; array_tmp4[2] := array_y2_higher[4, 2]; array_tmp5[2] := ats(2, array_m1, array_tmp4, 1); if not array_y1_set_initial[2, 3] then if 2 <= glob_max_terms then temporary := array_tmp5[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_const_0D0[3] + array_y1[3]; array_tmp2[3] := array_tmp1[3] - array_const_1D0[3]; if not array_y2_set_initial[1, 7] then if 3 <= glob_max_terms then temporary := array_tmp2[3]*glob_h^4*factorial_3(2, 6); array_y2[7] := temporary; array_y2_higher[1, 7] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 6] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[3, 5] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[4, 4] := temporary; temporary := temporary*5.0/glob_h; array_y2_higher[5, 3] := temporary end if end if; kkk := 4; array_tmp4[3] := array_y2_higher[4, 3]; array_tmp5[3] := ats(3, array_m1, array_tmp4, 1); if not array_y1_set_initial[2, 4] then if 3 <= glob_max_terms then temporary := array_tmp5[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_const_0D0[4] + array_y1[4]; array_tmp2[4] := array_tmp1[4] - array_const_1D0[4]; if not array_y2_set_initial[1, 8] then if 4 <= glob_max_terms then temporary := array_tmp2[4]*glob_h^4*factorial_3(3, 7); array_y2[8] := temporary; array_y2_higher[1, 8] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 7] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[3, 6] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[4, 5] := temporary; temporary := temporary*5.0/glob_h; array_y2_higher[5, 4] := temporary end if end if; kkk := 5; array_tmp4[4] := array_y2_higher[4, 4]; array_tmp5[4] := ats(4, array_m1, array_tmp4, 1); if not array_y1_set_initial[2, 5] then if 4 <= glob_max_terms then temporary := array_tmp5[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_const_0D0[5] + array_y1[5]; array_tmp2[5] := array_tmp1[5] - array_const_1D0[5]; if not array_y2_set_initial[1, 9] then if 5 <= glob_max_terms then temporary := array_tmp2[5]*glob_h^4*factorial_3(4, 8); array_y2[9] := temporary; array_y2_higher[1, 9] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 8] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[3, 7] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[4, 6] := temporary; temporary := temporary*5.0/glob_h; array_y2_higher[5, 5] := temporary end if end if; kkk := 6; array_tmp4[5] := array_y2_higher[4, 5]; array_tmp5[5] := ats(5, array_m1, array_tmp4, 1); if not array_y1_set_initial[2, 6] then if 5 <= glob_max_terms then temporary := array_tmp5[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_const_0D0[kkk] + array_y1[kkk]; array_tmp2[kkk] := array_tmp1[kkk] - array_const_1D0[kkk]; order_d := 4; 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] := array_y2_higher[4, kkk]; array_tmp5[kkk] := ats(kkk, array_m1, array_tmp4, 1); order_d := 1; if kkk + order_d + 1 <= glob_max_terms then if not array_y1_set_initial[2, kkk + order_d] then temporary := array_tmp5[kkk]*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) > nnn!; > > # End Function number 17 > end; factorial_1 := proc(nnn) nnn! end proc > > # Begin Function number 18 > factorial_3 := proc(mmm2,nnn2) > (mmm2!)/(nnn2!); > > # End Function number 18 > end; factorial_3 := proc(mmm2, nnn2) mmm2!/nnn2! 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) > 1.0 + sin(x); > end; exact_soln_y1 := proc(x) 1.0 + sin(x) end proc > exact_soln_y2 := proc(x) > 1.0 + sin(x); > end; exact_soln_y2 := proc(x) 1.0 + sin(x) end proc > exact_soln_y2p := proc(x) > cos(x); > end; exact_soln_y2p := proc(x) cos(x) end proc > exact_soln_y2pp := proc(x) > -sin(x); > end; exact_soln_y2pp := proc(x) -sin(x) end proc > exact_soln_y2ppp := proc(x) > -cos(x); > end; exact_soln_y2ppp := proc(x) -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, > 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 > glob_iolevel, > INFO, > DEBUGL, > glob_max_terms, > DEBUGMASSIVE, > ALWAYS, > #Top Generate Globals Decl > glob_max_minutes, > glob_iter, > glob_orig_start_sec, > centuries_in_millinium, > glob_html_log, > glob_log10abserr, > glob_unchanged_h_cnt, > glob_max_rel_trunc_err, > glob_last_good_h, > glob_disp_incr, > glob_initial_pass, > glob_clock_start_sec, > glob_curr_iter_when_opt, > glob_warned2, > glob_small_float, > glob_log10_relerr, > glob_not_yet_start_msg, > hours_in_day, > glob_max_opt_iter, > glob_warned, > glob_optimal_clock_start_sec, > glob_hmin_init, > glob_h, > glob_optimal_done, > min_in_hour, > glob_dump, > glob_log10normmin, > glob_subiter_method, > glob_relerr, > glob_abserr, > glob_dump_analytic, > glob_display_flag, > glob_max_sec, > glob_max_hours, > glob_not_yet_finished, > djd_debug, > MAX_UNCHANGED, > glob_start, > glob_optimal_start, > glob_log10_abserr, > glob_look_poles, > sec_in_min, > glob_optimal_expect_sec, > glob_max_trunc_err, > glob_hmin, > glob_reached_optimal_h, > days_in_year, > glob_current_iter, > glob_smallish_float, > glob_max_iter, > glob_large_float, > djd_debug2, > glob_percent_done, > glob_clock_sec, > years_in_century, > glob_log10relerr, > glob_normmax, > glob_no_eqs, > glob_hmax, > glob_almost_1, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_3, > array_const_1, > array_const_4, > array_const_1D0, > array_const_0D0, > #END CONST > array_y2_init, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_last_rel_error, > array_y1_init, > array_pole, > array_norms, > array_type_pole, > array_x, > array_m1, > array_y2, > array_y1, > array_1st_rel_error, > array_poles, > array_y2_set_initial, > array_y1_higher_work2, > array_y2_higher_work2, > array_complex_pole, > array_y1_higher, > array_y2_higher, > array_real_pole, > array_y1_set_initial, > array_y1_higher_work, > array_y2_higher_work, > glob_last; > glob_last; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > glob_iolevel := INFO; > glob_iolevel := 5; > INFO := 2; > DEBUGL := 3; > glob_max_terms := 30; > DEBUGMASSIVE := 4; > ALWAYS := 1; > glob_max_minutes := 0.0; > glob_iter := 0; > glob_orig_start_sec := 0.0; > centuries_in_millinium := 10.0; > glob_html_log := true; > glob_log10abserr := 0.0; > glob_unchanged_h_cnt := 0; > glob_max_rel_trunc_err := 0.1e-10; > glob_last_good_h := 0.1; > glob_disp_incr := 0.1; > glob_initial_pass := true; > glob_clock_start_sec := 0.0; > glob_curr_iter_when_opt := 0; > glob_warned2 := false; > glob_small_float := 0.1e-50; > glob_log10_relerr := 0.1e-10; > glob_not_yet_start_msg := true; > hours_in_day := 24.0; > glob_max_opt_iter := 10; > glob_warned := false; > glob_optimal_clock_start_sec := 0.0; > glob_hmin_init := 0.001; > glob_h := 0.1; > glob_optimal_done := false; > min_in_hour := 60.0; > glob_dump := false; > glob_log10normmin := 0.1; > glob_subiter_method := 3; > glob_relerr := 0.1e-10; > glob_abserr := 0.1e-10; > glob_dump_analytic := false; > glob_display_flag := true; > glob_max_sec := 10000.0; > glob_max_hours := 0.0; > glob_not_yet_finished := true; > djd_debug := true; > MAX_UNCHANGED := 10; > glob_start := 0; > glob_optimal_start := 0.0; > glob_log10_abserr := 0.1e-10; > glob_look_poles := false; > sec_in_min := 60.0; > glob_optimal_expect_sec := 0.1; > glob_max_trunc_err := 0.1e-10; > glob_hmin := 0.00000000001; > glob_reached_optimal_h := false; > days_in_year := 365.0; > glob_current_iter := 0; > glob_smallish_float := 0.1e-100; > glob_max_iter := 1000; > glob_large_float := 9.0e100; > djd_debug2 := true; > glob_percent_done := 0.0; > glob_clock_sec := 0.0; > years_in_century := 100.0; > glob_log10relerr := 0.0; > glob_normmax := 0.0; > glob_no_eqs := 0; > glob_hmax := 1.0; > glob_almost_1 := 0.9990; > #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/mtest8postode.ode#################"); > omniout_str(ALWAYS,"diff ( y2 , x , 4 ) = y1 - 1.0;"); > omniout_str(ALWAYS,"diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ;"); > 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 := 5.1;"); > omniout_str(ALWAYS,"array_y1_init[0 + 1] := exact_soln_y1(x_start);"); > omniout_str(ALWAYS,"array_y2_init[0 + 1] := exact_soln_y2(x_start);"); > omniout_str(ALWAYS,"array_y2_init[1 + 1] := exact_soln_y2p(x_start);"); > omniout_str(ALWAYS,"array_y2_init[2 + 1] := exact_soln_y2pp(x_start);"); > omniout_str(ALWAYS,"array_y2_init[3 + 1] := exact_soln_y2ppp(x_start);"); > omniout_str(ALWAYS,"glob_h := 0.00001;"); > omniout_str(ALWAYS,"glob_look_poles := true;"); > 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 := 0.0001 ;"); > 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,"1.0 + sin(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_y2 := proc(x)"); > omniout_str(ALWAYS,"1.0 + sin(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_y2p := proc(x)"); > omniout_str(ALWAYS,"cos(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_y2pp := proc(x)"); > omniout_str(ALWAYS,"-sin(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_y2ppp := proc(x)"); > omniout_str(ALWAYS,"-cos(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,""); > omniout_str(ALWAYS,""); > omniout_str(ALWAYS,""); > omniout_str(ALWAYS,"#END USER DEF BLOCK"); > omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################"); > glob_unchanged_h_cnt := 0; > glob_warned := false; > glob_warned2 := false; > glob_small_float := 1.0e-200; > glob_smallish_float := 1.0e-64; > glob_large_float := 1.0e100; > glob_almost_1 := 0.99; > glob_log10_abserr := -8.0; > glob_log10_relerr := -8.0; > glob_hmax := 0.01; > #BEGIN FIRST INPUT BLOCK > #BEGIN FIRST INPUT BLOCK > Digits := 32; > max_terms := 30; > #END FIRST INPUT BLOCK > #START OF INITS AFTER INPUT BLOCK > glob_max_terms := max_terms; > glob_html_log := true; > #END OF INITS AFTER INPUT BLOCK > array_y2_init:= Array(1..(max_terms + 1),[]); > array_tmp0:= Array(1..(max_terms + 1),[]); > array_tmp1:= Array(1..(max_terms + 1),[]); > array_tmp2:= Array(1..(max_terms + 1),[]); > array_tmp3:= Array(1..(max_terms + 1),[]); > array_tmp4:= Array(1..(max_terms + 1),[]); > array_tmp5:= Array(1..(max_terms + 1),[]); > array_last_rel_error:= Array(1..(max_terms + 1),[]); > array_y1_init:= Array(1..(max_terms + 1),[]); > array_pole:= Array(1..(max_terms + 1),[]); > array_norms:= Array(1..(max_terms + 1),[]); > array_type_pole:= Array(1..(max_terms + 1),[]); > array_x:= Array(1..(max_terms + 1),[]); > array_m1:= Array(1..(max_terms + 1),[]); > array_y2:= Array(1..(max_terms + 1),[]); > array_y1:= Array(1..(max_terms + 1),[]); > array_1st_rel_error:= Array(1..(max_terms + 1),[]); > array_poles := Array(1..(2+ 1) ,(1..3+ 1),[]); > array_y2_set_initial := Array(1..(3+ 1) ,(1..max_terms+ 1),[]); > array_y1_higher_work2 := Array(1..(2+ 1) ,(1..max_terms+ 1),[]); > array_y2_higher_work2 := Array(1..(5+ 1) ,(1..max_terms+ 1),[]); > array_complex_pole := Array(1..(2+ 1) ,(1..3+ 1),[]); > array_y1_higher := Array(1..(2+ 1) ,(1..max_terms+ 1),[]); > array_y2_higher := Array(1..(5+ 1) ,(1..max_terms+ 1),[]); > array_real_pole := Array(1..(2+ 1) ,(1..3+ 1),[]); > array_y1_set_initial := Array(1..(3+ 1) ,(1..max_terms+ 1),[]); > array_y1_higher_work := Array(1..(2+ 1) ,(1..max_terms+ 1),[]); > array_y2_higher_work := Array(1..(5+ 1) ,(1..max_terms+ 1),[]); > term := 1; > while term <= max_terms do # do number 2 > array_y2_init[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_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_tmp5[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_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_norms[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_x[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > 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_1st_rel_error[term] := 0.0; > term := term + 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 <=3 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y2_set_initial[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y1_higher_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 <=5 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 <= 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 <=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 <=5 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 <= 3 do # do number 3 > array_real_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=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_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 <=5 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 > ; > #BEGIN ARRAYS DEFINED AND INITIALIZATED > array_tmp5 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp5[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_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_x := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_y1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_y1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_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_const_3 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_3[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_3[1] := 3; > array_const_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_4 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_4[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_4[1] := 4; > array_const_1D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_1D0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_1D0[1] := 1.0; > 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 > #TOP SECOND INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > #END FIRST INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > x_start := 0.1; > x_end := 5.1; > array_y1_init[0 + 1] := exact_soln_y1(x_start); > array_y2_init[0 + 1] := exact_soln_y2(x_start); > array_y2_init[1 + 1] := exact_soln_y2p(x_start); > array_y2_init[2 + 1] := exact_soln_y2pp(x_start); > array_y2_init[3 + 1] := exact_soln_y2ppp(x_start); > glob_h := 0.00001; > glob_look_poles := true; > glob_max_iter := 20; > #END SECOND INPUT BLOCK > #BEGIN OVERRIDE BLOCK > glob_h := 0.0001 ; > 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] := true; > array_y2_set_initial[1,3] := true; > array_y2_set_initial[1,4] := true; > 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 := 4; > #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 <= 5 do # do number 3 > atomall(); > subiter := subiter + 1; > od;# end do number 3 > ; > else > subiter := 1; > while subiter <= 5 + 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 := 4; > #START PART 1 SUM AND ADJUST > #START SUM AND ADJUST EQ =1 > #sum_and_adjust array_y2 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 5; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[5,iii] := array_y2_higher[5,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 := 5; > 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)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 4; > calc_term := 2; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[4,iii] := array_y2_higher[4,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 4; > calc_term := 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)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 4; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[4,iii] := array_y2_higher[4,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 4; > calc_term := 1; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 3; > calc_term := 3; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[3,iii] := array_y2_higher[3,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 3; > calc_term := 3; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 3; > calc_term := 2; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[3,iii] := array_y2_higher[3,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 3; > calc_term := 2; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 3; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[3,iii] := array_y2_higher[3,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 3; > calc_term := 1; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 2; > calc_term := 4; > #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 := 4; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 2; > calc_term := 3; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[2,iii] := array_y2_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 2; > calc_term := 3; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 2; > calc_term := 2; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[2,iii] := array_y2_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 2; > calc_term := 2; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 2; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[2,iii] := array_y2_higher[2,iii] / (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)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 5; > #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 := 5; > #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)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 4; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[1,iii] := array_y2_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 4; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 3; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[1,iii] := array_y2_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 3; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(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)) / (convfp(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)) / (convfp(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)) / (convfp(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)) / (convfp(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)) / (convfp(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 , 4 ) = y1 - 1.0;"); > omniout_str(INFO,"diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ;"); > 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,"2012-06-13T16:53:13-05:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"mtest8") > ; > logitem_str(html_log_file,"diff ( y2 , x , 4 ) = y1 - 1.0;") > ; > 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," 090 ") > ; > logitem_str(html_log_file,"mtest8 diffeq.mxt") > ; > logitem_str(html_log_file,"mtest8 maple results") > ; > logitem_str(html_log_file,"Test of revised logic - mostly affecting systems of eqs") > ; > logend(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logitem_str(html_log_file,"diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ;") > ; > 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, 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 glob_iolevel, INFO, DEBUGL, glob_max_terms, DEBUGMASSIVE, ALWAYS, glob_max_minutes, glob_iter, glob_orig_start_sec, centuries_in_millinium, glob_html_log, glob_log10abserr, glob_unchanged_h_cnt, glob_max_rel_trunc_err, glob_last_good_h, glob_disp_incr, glob_initial_pass, glob_clock_start_sec, glob_curr_iter_when_opt, glob_warned2, glob_small_float, glob_log10_relerr, glob_not_yet_start_msg, hours_in_day, glob_max_opt_iter, glob_warned, glob_optimal_clock_start_sec, glob_hmin_init, glob_h, glob_optimal_done, min_in_hour, glob_dump, glob_log10normmin, glob_subiter_method, glob_relerr, glob_abserr, glob_dump_analytic, glob_display_flag, glob_max_sec, glob_max_hours, glob_not_yet_finished, djd_debug, MAX_UNCHANGED, glob_start, glob_optimal_start, glob_log10_abserr, glob_look_poles, sec_in_min, glob_optimal_expect_sec, glob_max_trunc_err, glob_hmin, glob_reached_optimal_h, days_in_year, glob_current_iter, glob_smallish_float, glob_max_iter, glob_large_float, djd_debug2, glob_percent_done, glob_clock_sec, years_in_century, glob_log10relerr, glob_normmax, glob_no_eqs, glob_hmax, glob_almost_1, array_const_3, array_const_1, array_const_4, array_const_1D0, array_const_0D0, array_y2_init, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_last_rel_error, array_y1_init, array_pole, array_norms, array_type_pole, array_x, array_m1, array_y2, array_y1, array_1st_rel_error, array_poles, array_y2_set_initial, array_y1_higher_work2, array_y2_higher_work2, array_complex_pole, array_y1_higher, array_y2_higher, array_real_pole, array_y1_set_initial, array_y1_higher_work, array_y2_higher_work, glob_last; glob_last; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; glob_iolevel := INFO; glob_iolevel := 5; INFO := 2; DEBUGL := 3; glob_max_terms := 30; DEBUGMASSIVE := 4; ALWAYS := 1; glob_max_minutes := 0.; glob_iter := 0; glob_orig_start_sec := 0.; centuries_in_millinium := 10.0; glob_html_log := true; glob_log10abserr := 0.; glob_unchanged_h_cnt := 0; glob_max_rel_trunc_err := 0.1*10^(-10); glob_last_good_h := 0.1; glob_disp_incr := 0.1; glob_initial_pass := true; glob_clock_start_sec := 0.; glob_curr_iter_when_opt := 0; glob_warned2 := false; glob_small_float := 0.1*10^(-50); glob_log10_relerr := 0.1*10^(-10); glob_not_yet_start_msg := true; hours_in_day := 24.0; glob_max_opt_iter := 10; glob_warned := false; glob_optimal_clock_start_sec := 0.; glob_hmin_init := 0.001; glob_h := 0.1; glob_optimal_done := false; min_in_hour := 60.0; glob_dump := false; glob_log10normmin := 0.1; glob_subiter_method := 3; glob_relerr := 0.1*10^(-10); glob_abserr := 0.1*10^(-10); glob_dump_analytic := false; glob_display_flag := true; glob_max_sec := 10000.0; glob_max_hours := 0.; glob_not_yet_finished := true; djd_debug := true; MAX_UNCHANGED := 10; glob_start := 0; glob_optimal_start := 0.; glob_log10_abserr := 0.1*10^(-10); glob_look_poles := false; sec_in_min := 60.0; glob_optimal_expect_sec := 0.1; glob_max_trunc_err := 0.1*10^(-10); glob_hmin := 0.1*10^(-10); glob_reached_optimal_h := false; days_in_year := 365.0; glob_current_iter := 0; glob_smallish_float := 0.1*10^(-100); glob_max_iter := 1000; glob_large_float := 0.90*10^101; djd_debug2 := true; glob_percent_done := 0.; glob_clock_sec := 0.; years_in_century := 100.0; glob_log10relerr := 0.; glob_normmax := 0.; glob_no_eqs := 0; glob_hmax := 1.0; glob_almost_1 := 0.9990; 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/mtest8postode.ode#################"); omniout_str(ALWAYS, "diff ( y2 , x , 4 ) = y1 - 1.0;"); omniout_str(ALWAYS, "diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ;") ; 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 := 5.1;"); omniout_str(ALWAYS, "array_y1_init[0 + 1] := exact_soln_y1(x_start);"); omniout_str(ALWAYS, "array_y2_init[0 + 1] := exact_soln_y2(x_start);"); omniout_str(ALWAYS, "array_y2_init[1 + 1] := exact_soln_y2p(x_start);") ; omniout_str(ALWAYS, "array_y2_init[2 + 1] := exact_soln_y2pp(x_start);") ; omniout_str(ALWAYS, "array_y2_init[3 + 1] := exact_soln_y2ppp(x_start);"); omniout_str(ALWAYS, "glob_h := 0.00001;"); omniout_str(ALWAYS, "glob_look_poles := true;"); 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 := 0.0001 ;"); 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, "1.0 +\tsin(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_y2 := proc(x)"); omniout_str(ALWAYS, "1.0 +\tsin(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_y2p := proc(x)"); omniout_str(ALWAYS, "cos(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_y2pp := proc(x)"); omniout_str(ALWAYS, "-sin(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_y2ppp := proc(x)"); omniout_str(ALWAYS, "-cos(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, ""); omniout_str(ALWAYS, ""); omniout_str(ALWAYS, ""); omniout_str(ALWAYS, "#END USER DEF BLOCK"); omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"); glob_unchanged_h_cnt := 0; glob_warned := false; glob_warned2 := false; glob_small_float := 0.10*10^(-199); glob_smallish_float := 0.10*10^(-63); glob_large_float := 0.10*10^101; glob_almost_1 := 0.99; glob_log10_abserr := -8.0; glob_log10_relerr := -8.0; glob_hmax := 0.01; Digits := 32; max_terms := 30; glob_max_terms := max_terms; glob_html_log := true; array_y2_init := Array(1 .. max_terms + 1, []); array_tmp0 := Array(1 .. max_terms + 1, []); array_tmp1 := Array(1 .. max_terms + 1, []); array_tmp2 := Array(1 .. max_terms + 1, []); array_tmp3 := Array(1 .. max_terms + 1, []); array_tmp4 := Array(1 .. max_terms + 1, []); array_tmp5 := Array(1 .. max_terms + 1, []); array_last_rel_error := Array(1 .. max_terms + 1, []); array_y1_init := Array(1 .. max_terms + 1, []); array_pole := Array(1 .. max_terms + 1, []); array_norms := Array(1 .. max_terms + 1, []); array_type_pole := Array(1 .. max_terms + 1, []); array_x := Array(1 .. max_terms + 1, []); array_m1 := Array(1 .. max_terms + 1, []); array_y2 := Array(1 .. max_terms + 1, []); array_y1 := Array(1 .. max_terms + 1, []); array_1st_rel_error := Array(1 .. max_terms + 1, []); array_poles := Array(1 .. 3, 1 .. 4, []); array_y2_set_initial := Array(1 .. 4, 1 .. max_terms + 1, []); array_y1_higher_work2 := Array(1 .. 3, 1 .. max_terms + 1, []); array_y2_higher_work2 := Array(1 .. 6, 1 .. max_terms + 1, []); array_complex_pole := Array(1 .. 3, 1 .. 4, []); array_y1_higher := Array(1 .. 3, 1 .. max_terms + 1, []); array_y2_higher := Array(1 .. 6, 1 .. max_terms + 1, []); array_real_pole := Array(1 .. 3, 1 .. 4, []); array_y1_set_initial := Array(1 .. 4, 1 .. max_terms + 1, []); array_y1_higher_work := Array(1 .. 3, 1 .. max_terms + 1, []); array_y2_higher_work := Array(1 .. 6, 1 .. max_terms + 1, []); term := 1; while term <= max_terms do array_y2_init[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_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_tmp5[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_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_norms[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_x[term] := 0.; term := term + 1 end do ; term := 1; while term <= max_terms do array_m1[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_1st_rel_error[term] := 0.; term := term + 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 <= 3 do term := 1; while term <= max_terms do array_y2_set_initial[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y1_higher_work2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 5 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 <= 3 do array_complex_pole[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 <= 5 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 <= 3 do array_real_pole[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_work[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 5 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; array_tmp5 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp5[term] := 0.; term := term + 1 end do; array_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_x := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1 end do; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1 end do; array_y1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_y1[term] := 0.; term := term + 1 end do; array_y2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_y2[term] := 0.; term := term + 1 end do; array_const_3 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_3[term] := 0.; term := term + 1 end do; array_const_3[1] := 3; array_const_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_4 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_4[term] := 0.; term := term + 1 end do; array_const_4[1] := 4; array_const_1D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1D0[term] := 0.; term := term + 1 end do; array_const_1D0[1] := 1.0; 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; x_start := 0.1; x_end := 5.1; array_y1_init[1] := exact_soln_y1(x_start); array_y2_init[1] := exact_soln_y2(x_start); array_y2_init[2] := exact_soln_y2p(x_start); array_y2_init[3] := exact_soln_y2pp(x_start); array_y2_init[4] := exact_soln_y2ppp(x_start); glob_h := 0.00001; glob_look_poles := true; glob_max_iter := 20; glob_h := 0.0001; 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] := true; array_y2_set_initial[1, 3] := true; array_y2_set_initial[1, 4] := true; 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 := 4; 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 <= 5 do atomall(); subiter := subiter + 1 end do else subiter := 1; while subiter <= 5 + 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 := 4; ord := 5; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[5, iii] := array_y2_higher[5, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 5; 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)/convfp(calc_term - 1)!; ord := 4; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[4, iii] := array_y2_higher[4, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 4; 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)/convfp(calc_term - 1)!; ord := 4; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[4, iii] := array_y2_higher[4, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 4; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 3; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[3, iii] := array_y2_higher[3, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 3; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 3; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[3, iii] := array_y2_higher[3, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 3; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 3; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[3, iii] := array_y2_higher[3, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 3; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 2; calc_term := 4; 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 := 4; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 2; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[2, iii] := array_y2_higher[2, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 2; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 2; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[2, iii] := array_y2_higher[2, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 2; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[2, iii] := array_y2_higher[2, iii]/( 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)/convfp(calc_term - 1)!; ord := 1; calc_term := 5; 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 := 5; 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)/convfp(calc_term - 1)!; ord := 1; calc_term := 4; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[1, iii] := array_y2_higher[1, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 4; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 1; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[1, iii] := array_y2_higher[1, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(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)/convfp(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)/convfp(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)/convfp(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)/convfp(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)/convfp(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 , 4 ) = y1 - 1.0;"); omniout_str(INFO, "diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ;"); 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, "2012-06-13T16:53:13-05:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "mtest8") ; logitem_str(html_log_file, "diff ( y2 , x , 4 ) = y1 - 1.0;"); 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, " 090 "); logitem_str(html_log_file, "mtest8 diffeq.mxt"); logitem_str(html_log_file, "mtest8 maple results"); logitem_str(html_log_file, "Test of revised logic - mostly affecting systems of eqs"); logend(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logitem_str(html_log_file, "diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ;"); 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/mtest8postode.ode################# diff ( y2 , x , 4 ) = y1 - 1.0; diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ; ! #BEGIN FIRST INPUT BLOCK Digits := 32; max_terms := 30; ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start := 0.1; x_end := 5.1; array_y1_init[0 + 1] := exact_soln_y1(x_start); array_y2_init[0 + 1] := exact_soln_y2(x_start); array_y2_init[1 + 1] := exact_soln_y2p(x_start); array_y2_init[2 + 1] := exact_soln_y2pp(x_start); array_y2_init[3 + 1] := exact_soln_y2ppp(x_start); glob_h := 0.00001; glob_look_poles := true; glob_max_iter := 20; #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK glob_h := 0.0001 ; glob_look_poles := true; glob_max_iter := 1000; glob_max_minutes := 15; #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK exact_soln_y1 := proc(x) 1.0 + sin(x); end; exact_soln_y2 := proc(x) 1.0 + sin(x); end; exact_soln_y2p := proc(x) cos(x); end; exact_soln_y2pp := proc(x) -sin(x); end; exact_soln_y2ppp := proc(x) -cos(x); end; #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y2[1] (analytic) = 1.0998334166468281523068141984106 y2[1] (numeric) = 1.0998334166468281523068141984106 absolute error = 0 relative error = 0 % h = 0.0001 y1[1] (analytic) = 1.0998334166468281523068141984106 y1[1] (numeric) = 1.0998334166468281523068141984106 absolute error = 0 relative error = 0 % h = 0.0001 x[1] = 0.1 y2[1] (analytic) = 1.0998334166468281523068141984106 y2[1] (numeric) = 1.0998334166468281523068141984106 absolute error = 0 relative error = 0 % h = 0.0001 y1[1] (analytic) = 1.0998334166468281523068141984106 y1[1] (numeric) = 1.0998334166468281523068141984106 absolute error = 0 relative error = 0 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3.8MB, alloc=3.1MB, time=0.20 NO POLE NO POLE x[1] = 0.1001 y2[1] (analytic) = 1.0999329165640230380377921416845 y2[1] (numeric) = 1.0999329165640230380377921416845 absolute error = 0 relative error = 0 % h = 0.0001 y1[1] (analytic) = 1.0999329165640230380377921416845 y1[1] (numeric) = 1.0999329165641225381214627433772 absolute error = 9.95000836706016927e-14 relative error = 9.0460138224993432887702211551991e-12 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1002 y2[1] (analytic) = 1.1000324154818887589613140090031 y2[1] (numeric) = 1.1000324154818887589613140090045 absolute error = 1.4e-30 relative error = 1.2726897683162410327729518353249e-28 % h = 0.0001 y1[1] (analytic) = 1.1000324154818887589613140090031 y1[1] (numeric) = 1.1000324154823862580468709308103 absolute error = 4.974990855569218072e-13 relative error = 4.5225856852498613587116343421850e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=7.6MB, alloc=4.3MB, time=0.43 NO POLE NO POLE x[1] = 0.1003 y2[1] (analytic) = 1.1001319133994303258995517487798 y2[1] (numeric) = 1.1001319133994303258995517488002 absolute error = 2.04e-29 relative error = 1.8543230817624023666774426885434e-27 % h = 0.0001 y1[1] (analytic) = 1.1001319133994303258995517487798 y1[1] (numeric) = 1.1001319134006243199033095627653 absolute error = 1.1939940037578139855e-12 relative error = 1.0853189414970681674906284838449e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=11.4MB, alloc=4.4MB, time=0.67 NO POLE NO POLE x[1] = 0.1004 y2[1] (analytic) = 1.1002314103156527596779188409447 y2[1] (numeric) = 1.1002314103156527596779188410728 absolute error = 1.281e-28 relative error = 1.1643005171361953106497222382901e-26 % h = 0.0001 y1[1] (analytic) = 1.1002314103156527596779188409447 y1[1] (numeric) = 1.1002314103178417415083210454471 absolute error = 2.1889818304022045024e-12 relative error = 1.9895649314121952228589177065676e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=15.2MB, alloc=4.4MB, time=0.91 NO POLE NO POLE x[1] = 0.1005 y2[1] (analytic) = 1.1003309062295610911350200886824 y2[1] (numeric) = 1.1003309062295610911350200892023 absolute error = 5.199e-28 relative error = 4.7249422610649973863407507113785e-26 % h = 0.0001 y1[1] (analytic) = 1.1003309062295610911350200886824 y1[1] (numeric) = 1.1003309062330435506866692410265 absolute error = 3.4824595516491523441e-12 relative error = 3.1649202362062979273629316159172e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=19.0MB, alloc=4.4MB, time=1.15 NO POLE NO POLE x[1] = 0.1006 y2[1] (analytic) = 1.1004304011401603611326013100376 y2[1] (numeric) = 1.1004304011401603611326013116524 absolute error = 1.6148e-27 relative error = 1.4674258347705581655075063918353e-25 % h = 0.0001 y1[1] (analytic) = 1.1004304011401603611326013100376 y1[1] (numeric) = 1.1004304011452347852802892194142 absolute error = 5.0744241476879093766e-12 relative error = 4.6113085774713949411215396433950e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1007 y2[1] (analytic) = 1.1005298950464556205654989292891 y2[1] (numeric) = 1.1005298950464556205654989334745 absolute error = 4.1854e-27 relative error = 3.8030770620940975847112305765611e-25 % h = 0.0001 y1[1] (analytic) = 1.1005298950464556205654989292891 y1[1] (numeric) = 1.1005298950534204931582369098929 absolute error = 6.9648725927379806038e-12 relative error = 6.3286537004467098722489559672347e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=22.8MB, alloc=4.4MB, time=1.40 NO POLE NO POLE x[1] = 0.1008 y2[1] (analytic) = 1.1006293879474519303715894679936 y2[1] (numeric) = 1.1006293879474519303715894775101 absolute error = 9.5165e-27 relative error = 8.6464164088396597415659209941650e-25 % h = 0.0001 y1[1] (analytic) = 1.1006293879474519303715894679936 y1[1] (numeric) = 1.1006293879566057322266386525082 absolute error = 9.1538018550491845146e-12 relative error = 8.3168793740097919964286451967413e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=26.7MB, alloc=4.4MB, time=1.64 NO POLE NO POLE x[1] = 0.1009 y2[1] (analytic) = 1.100728879842154361541738935598 y2[1] (numeric) = 1.1007288798421543615417389551925 absolute error = 1.95945e-26 relative error = 1.7801386298513282567575559361485e-24 % h = 0.0001 y1[1] (analytic) = 1.100728879842154361541738935598 y1[1] (numeric) = 1.1007288798537955704386406491186 absolute error = 1.16412088969017135206e-11 relative error = 1.0575909390667640782393801187117e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=30.5MB, alloc=4.4MB, time=1.89 NO POLE NO POLE x[1] = 0.101 y2[1] (analytic) = 1.1008283707295679951297521195232 y2[1] (numeric) = 1.1008283707295679951297521568492 absolute error = 3.73260e-26 relative error = 3.3907192976197004443007167945504e-24 % h = 0.0001 y1[1] (analytic) = 1.1008283707295679951297521195232 y1[1] (numeric) = 1.1008283707439950858043583140049 absolute error = 1.44270906746061944817e-11 relative error = 1.3105667566547834219004257105695e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=34.3MB, alloc=4.4MB, time=2.13 x[1] = 0.1011 y2[1] (analytic) = 1.1009278606086979222623217746172 y2[1] (numeric) = 1.1009278606086979222623218414041 absolute error = 6.67869e-26 relative error = 6.0664192804670990780518423165325e-24 % h = 0.0001 y1[1] (analytic) = 1.1009278606086979222623217746172 y1[1] (numeric) = 1.1009278606262093664008255239401 absolute error = 1.75114441385037493229e-11 relative error = 1.5906077741389660945062421665063e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1012 y2[1] (analytic) = 1.1010273494785492441489777118801 y2[1] (numeric) = 1.1010273494785492441489778253806 absolute error = 1.135005e-25 relative error = 1.0308599514240429185039002887606e-23 % h = 0.0001 y1[1] (analytic) = 1.1010273494785492441489777118801 y1[1] (numeric) = 1.1010273494994435103819437676198 absolute error = 2.08942662329660557397e-11 relative error = 1.8977063778535256177651051417170e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=38.1MB, alloc=4.4MB, time=2.38 NO POLE NO POLE x[1] = 0.1013 y2[1] (analytic) = 1.1011268373381270720920357863605 y2[1] (numeric) = 1.101126837338127072092035971107 absolute error = 1.847465e-25 relative error = 1.6777949073206469496090767862522e-23 % h = 0.0001 y1[1] (analytic) = 1.1011268373381270720920357863605 y1[1] (numeric) = 1.1011268373627026259884311943538 absolute error = 2.45755538963954079933e-11 relative error = 2.2318549564920741438229400384498e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=41.9MB, alloc=4.4MB, time=2.62 NO POLE NO POLE x[1] = 0.1014 y2[1] (analytic) = 1.101226324186436527496546784124 y2[1] (numeric) = 1.1012263241864365274965470740229 absolute error = 2.898989e-25 relative error = 2.6325097178744921008613354181322e-23 % h = 0.0001 y1[1] (analytic) = 1.101226324186436527496546784124 y1[1] (numeric) = 1.1012263242149918315577715619194 absolute error = 2.85553040612247777954e-11 relative error = 2.5930459011067368074453203227608e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=45.7MB, alloc=4.4MB, time=2.87 NO POLE NO POLE x[1] = 0.1015 y2[1] (analytic) = 1.1013258100224827418802452081946 y2[1] (numeric) = 1.1013258100224827418802456489886 absolute error = 4.407940e-25 relative error = 4.0023941688155071976380199302566e-23 % h = 0.0001 y1[1] (analytic) = 1.1013258100224827418802452081946 y1[1] (numeric) = 1.1013258100553162555341630834766 absolute error = 3.28335136539178752820e-11 relative error = 2.9812716051072664575321893221544e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1016 y2[1] (analytic) = 1.1014252948452708568834979633685 y2[1] (numeric) = 1.1014252948452708568834986154977 absolute error = 6.521292e-25 relative error = 5.9207755900649771563815915852942e-23 % h = 0.0001 y1[1] (analytic) = 1.1014252948452708568834979633685 y1[1] (numeric) = 1.1014252948826810364784671734467 absolute error = 3.74101795949692100782e-11 relative error = 3.3965244642601587679618439421856e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=49.5MB, alloc=4.4MB, time=3.10 NO POLE NO POLE x[1] = 0.1017 y2[1] (analytic) = 1.101524778653806024279252939803 y2[1] (numeric) = 1.1015247786538060242792538816925 absolute error = 9.418895e-25 relative error = 8.5507790496651443868365739384499e-23 % h = 0.0001 y1[1] (analytic) = 1.101524778653806024279252939803 y1[1] (numeric) = 1.1015247786960913230781570922533 absolute error = 4.22852987989041524503e-11 relative error = 3.8387968766877677272432241008508e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=53.4MB, alloc=4.4MB, time=3.32 NO POLE NO POLE x[1] = 0.1018 y2[1] (analytic) = 1.101624261447093405982987495278 y2[1] (numeric) = 1.1016242614470934059829888270844 absolute error = 1.3318064e-24 relative error = 1.2089479567657119166817662778208e-22 % h = 0.0001 y1[1] (analytic) = 1.101624261447093405982987495278 y1[1] (numeric) = 1.1016242614945522741572664898276 absolute error = 4.74588681742789945496e-11 relative error = 4.3080812428674215071911733835710e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=57.2MB, alloc=4.4MB, time=3.53 NO POLE NO POLE x[1] = 0.1019 y2[1] (analytic) = 1.1017237432241381740626568360333 y2[1] (numeric) = 1.101723743224138174062658683878 absolute error = 1.8478447e-24 relative error = 1.6772305320319021309030924535472e-22 % h = 0.0001 y1[1] (analytic) = 1.1017237432241381740626568360333 y1[1] (numeric) = 1.1017237432770690586863378477777 absolute error = 5.29308846236810117444e-11 relative error = 4.8043699656305387101220906280288e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=61.0MB, alloc=4.4MB, time=3.75 x[1] = 0.102 y2[1] (analytic) = 1.1018232239839455107486422960806 y2[1] (numeric) = 1.1018232239839455107486448168008 absolute error = 2.5207202e-24 relative error = 2.2877718903815091568842156062779e-22 % h = 0.0001 y1[1] (analytic) = 1.1018232239839455107486422960806 y1[1] (numeric) = 1.1018232240426468557923708201226 absolute error = 5.87013450437285240420e-11 relative error = 5.3276554501617449945487435328030e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1021 y2[1] (analytic) = 1.1019227037255206084436995148916 y2[1] (numeric) = 1.1019227037255206084437029013381 absolute error = 3.3864465e-24 relative error = 3.0732160146539048548574804935938e-22 % h = 0.0001 y1[1] (analytic) = 1.1019227037255206084436995148916 y1[1] (numeric) = 1.1019227037902908547687704724917 absolute error = 6.47702463250709576001e-11 relative error = 5.8779301039979900791351970822378e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=64.8MB, alloc=4.4MB, time=3.96 NO POLE NO POLE x[1] = 0.1022 y2[1] (analytic) = 1.1020221824478686697329065133617 y2[1] (numeric) = 1.1020221824478686697329110002743 absolute error = 4.4869126e-24 relative error = 4.0715265731161941438273795124900e-22 % h = 0.0001 y1[1] (analytic) = 1.1020221824478686697329065133617 y1[1] (numeric) = 1.10202218251900625508529541969 absolute error = 7.11375853523889063283e-11 relative error = 6.4551863370276651247909146832501e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=68.6MB, alloc=4.5MB, time=4.18 NO POLE NO POLE x[1] = 0.1023 y2[1] (analytic) = 1.1021216601499949073936116679517 y2[1] (numeric) = 1.102121660149994907393617538441 absolute error = 5.8704893e-24 relative error = 5.3265347304770753860088683786306e-22 % h = 0.0001 y1[1] (analytic) = 1.1021216601499949073936116679517 y1[1] (numeric) = 1.1021216602277982663980058615294 absolute error = 7.78033590043941935777e-11 relative error = 7.0594165614897204945381627518617e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=72.4MB, alloc=4.5MB, time=4.39 NO POLE NO POLE x[1] = 0.1024 y2[1] (analytic) = 1.1022211368309045444053815829051 y2[1] (numeric) = 1.1022211368309045444053891755714 absolute error = 7.5926663e-24 relative error = 6.8885145151819171657881464561988e-22 % h = 0.0001 y1[1] (analytic) = 1.1022211368309045444053815829051 y1[1] (numeric) = 1.1022211369156721085592115168272 absolute error = 8.47675641538299339221e-11 relative error = 7.6906131919727838912860736424198e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1025 y2[1] (analytic) = 1.102320612489602813959948860445 y2[1] (numeric) = 1.1023206124896028139599585771634 absolute error = 9.7167184e-24 relative error = 8.8147842741094065788421720542393e-22 % h = 0.0001 y1[1] (analytic) = 1.102320612489602813959948860445 y1[1] (numeric) = 1.1023206125816330116274194554716 absolute error = 9.20301976674705950266e-11 relative error = 8.3487686454142788729460667711390e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=76.2MB, alloc=4.5MB, time=4.60 NO POLE NO POLE x[1] = 0.1026 y2[1] (analytic) = 1.1024200871250949594711597688478 y2[1] (numeric) = 1.1024200871250949594711720832502 absolute error = 1.23144024e-23 relative error = 1.1170335649555927689332415162079e-21 % h = 0.0001 y1[1] (analytic) = 1.1024200871250949594711597688478 y1[1] (numeric) = 1.1024200872246862158772818284554 absolute error = 9.95912564061220596076e-11 relative error = 9.0338753410995437450675215633836e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=80.1MB, alloc=4.5MB, time=4.81 NO POLE NO POLE x[1] = 0.1027 y2[1] (analytic) = 1.102519560736386234584921808297 y2[1] (numeric) = 1.1025195607363862345849372749798 absolute error = 1.54666828e-23 relative error = 1.4028488337811997000760816399814e-21 % h = 0.0001 y1[1] (analytic) = 1.102519560736386234584921808297 y1[1] (numeric) = 1.1025195608438369718095434957776 absolute error = 1.074507372246216874806e-10 relative error = 9.7459257006609508304831041933828e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=83.9MB, alloc=4.5MB, time=5.03 NO POLE NO POLE x[1] = 0.1028 y2[1] (analytic) = 1.1026190333224819031891511744154 y2[1] (numeric) = 1.1026190333224819031891704389039 absolute error = 1.92644885e-23 relative error = 1.7471572608311518248174716117714e-21 % h = 0.0001 y1[1] (analytic) = 1.1026190333224819031891511744154 y1[1] (numeric) = 1.1026190334380905401609895521145 absolute error = 1.156086369718383776991e-10 relative error = 1.0484912148077026116079269040747e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=87.7MB, alloc=4.5MB, time=5.24 x[1] = 0.1029 y2[1] (analytic) = 1.102718504882387239423720119378 y2[1] (numeric) = 1.1027185048823872394237439288761 absolute error = 2.38094981e-23 relative error = 2.1591637389398350650449237701550e-21 % h = 0.0001 y1[1] (analytic) = 1.102718504882387239423720119378 y1[1] (numeric) = 1.10271850500645219191439275016 absolute error = 1.240649524906726307820e-10 relative error = 1.1250827109671569276272298758398e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.103 y2[1] (analytic) = 1.1028179754151075276904042105046 y2[1] (numeric) = 1.102817975415107527690433425461 absolute error = 2.92149564e-23 relative error = 2.6491186262178315660044586430199e-21 % h = 0.0001 y1[1] (analytic) = 1.1028179754151075276904042105046 y1[1] (numeric) = 1.1028179755479272083084608215356 absolute error = 1.328196806180566110310e-10 relative error = 1.2043663014112774073142292226916e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=91.5MB, alloc=4.5MB, time=5.46 NO POLE NO POLE x[1] = 0.1031 y2[1] (analytic) = 1.1029174449196480626628294862341 y2[1] (numeric) = 1.1029174449196480626628650927535 absolute error = 3.56065194e-23 relative error = 3.2283938896799367458760854526067e-21 % h = 0.0001 y1[1] (analytic) = 1.1029174449196480626628294862341 y1[1] (numeric) = 1.1029174450615208808477836951712 absolute error = 1.418728181849542089371e-10 relative error = 1.2863412292412349132959907064457e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=95.3MB, alloc=4.5MB, time=5.67 NO POLE NO POLE x[1] = 0.1032 y2[1] (analytic) = 1.1030169133950141492964195093798 y2[1] (numeric) = 1.10301691339501414929646263251 absolute error = 4.31231302e-23 relative error = 3.9095620090964712966782556299873e-21 % h = 0.0001 y1[1] (analytic) = 1.1030169133950141492964195093798 y1[1] (numeric) = 1.1030169135462385113127806130571 absolute error = 1.512243620163611036773e-10 relative error = 1.3710067377924639099022143329945e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=99.1MB, alloc=4.5MB, time=5.88 NO POLE NO POLE x[1] = 0.1033 y2[1] (analytic) = 1.103116380840211102838342317567 y2[1] (numeric) = 1.103116380840211102838394235491 absolute error = 5.19179240e-23 relative error = 4.7064774761531193737487332164444e-21 % h = 0.0001 y1[1] (analytic) = 1.103116380840211102838342317567 y1[1] (numeric) = 1.103116381001085411769647143267 absolute error = 1.608743089313048257000e-10 relative error = 1.4583620706345746160477787342816e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1034 y2[1] (analytic) = 1.1032158472542442488374572707527 y2[1] (numeric) = 1.1032158472542442488375194299164 absolute error = 6.21591637e-23 relative error = 5.6343610232490579098479865745046e-21 % h = 0.0001 y1[1] (analytic) = 1.1032158472542442488374572707527 y1[1] (numeric) = 1.1032158474250669045803020901534 absolute error = 1.708226557428448194007e-10 relative error = 1.5484064715712651957104329414243e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=102.9MB, alloc=4.5MB, time=6.09 NO POLE NO POLE x[1] = 0.1035 y2[1] (analytic) = 1.1033153126361189231542617957292 y2[1] (numeric) = 1.1033153126361189231543358269334 absolute error = 7.40312042e-23 relative error = 6.7098864080042009637703187944274e-21 % h = 0.0001 y1[1] (analytic) = 1.1033153126361189231542617957292 y1[1] (numeric) = 1.1033153128171883224123343016158 absolute error = 1.810693992580725058866e-10 relative error = 1.6411391846402339859726256900810e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=106.8MB, alloc=4.5MB, time=6.31 NO POLE NO POLE x[1] = 0.1036 y2[1] (analytic) = 1.1034147769848404719708380275103 y2[1] (numeric) = 1.1034147769848404719709257629984 absolute error = 8.77354881e-23 relative error = 7.9512699965595417256046762126644e-21 % h = 0.0001 y1[1] (analytic) = 1.1034147769848404719708380275103 y1[1] (numeric) = 1.1034147771764550082489493733416 absolute error = 1.916145362781113458313e-10 relative error = 1.7365594541130917626200447637920e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=110.6MB, alloc=4.5MB, time=6.52 NO POLE NO POLE x[1] = 0.1037 y2[1] (analytic) = 1.1035142402994142518007993475029 y2[1] (numeric) = 1.1035142402994142518009028390722 absolute error = 1.034915693e-22 relative error = 9.3783628267379535683344023061879e-21 % h = 0.0001 y1[1] (analytic) = 1.1035142402994142518007993475029 y1[1] (numeric) = 1.1035142405018723153989162499209 absolute error = 2.024580635981169024180e-10 relative error = 1.8346665244952740432640675426129e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=114.4MB, alloc=4.5MB, time=6.74 x[1] = 0.1038 y2[1] (analytic) = 1.1036137025788456294992368183617 y2[1] (numeric) = 1.1036137025788456294993583565305 absolute error = 1.215381688e-22 relative error = 1.1012745539131880383165353760052e-20 % h = 0.0001 y1[1] (analytic) = 1.1036137025788456294992368183617 y1[1] (numeric) = 1.1036137027924456075065137227357 absolute error = 2.135999780072769043740e-10 relative error = 1.9354596405259534279952133868520e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1039 y2[1] (analytic) = 1.1037131638221399822726655154307 y2[1] (numeric) = 1.1037131638221399822728076496887 absolute error = 1.421342580e-22 relative error = 1.2877825748475398555555652378097e-20 % h = 0.0001 y1[1] (analytic) = 1.1037131638221399822726655154307 y1[1] (numeric) = 1.1037131640471802585614768245235 absolute error = 2.250402762888113090928e-10 relative error = 2.0389380471779519775157880552008e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=118.2MB, alloc=4.5MB, time=6.95 NO POLE NO POLE x[1] = 0.104 y2[1] (analytic) = 1.1038126240283026976889707546695 y2[1] (numeric) = 1.1038126240283026976891363148427 absolute error = 1.655601732e-22 relative error = 1.4998938188965203922855442289756e-20 % h = 0.0001 y1[1] (analytic) = 1.1038126240283026976889707546695 y1[1] (numeric) = 1.1038126242650816529089431205162 absolute error = 2.367789552199723658467e-10 relative error = 2.1451009896576536287597372576594e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=122.0MB, alloc=4.5MB, time=7.16 NO POLE NO POLE x[1] = 0.1041 y2[1] (analytic) = 1.103912083196339173687354216966 y2[1] (numeric) = 1.1039120831963391736875463357261 absolute error = 1.921187601e-22 relative error = 1.7403447523078721019858147939421e-20 % h = 0.0001 y1[1] (analytic) = 1.103912083196339173687354216966 y1[1] (numeric) = 1.1039120834451551852593988960551 absolute error = 2.488160115720446790891e-10 relative error = 2.2539477134049166479742003019393e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=125.8MB, alloc=4.5MB, time=7.40 NO POLE NO POLE x[1] = 0.1042 y2[1] (analytic) = 1.1040115413252548185882799687365 y2[1] (numeric) = 1.1040115413252548185885021052833 absolute error = 2.221365468e-22 relative error = 2.0120853676343583973149372645620e-20 % h = 0.0001 y1[1] (analytic) = 1.1040115413252548185882799687365 y1[1] (numeric) = 1.1040115415864062606986252405822 absolute error = 2.611514421103452718457e-10 relative error = 2.3654774640929861212372699783552e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1043 y2[1] (analytic) = 1.1041109984140550511034203787124 y2[1] (numeric) = 1.1041109984140550511036763436607 absolute error = 2.559649483e-22 relative error = 2.3182899968179651416668427897635e-20 % h = 0.0001 y1[1] (analytic) = 1.1041109984140550511034203787124 y1[1] (numeric) = 1.104110998687840294697644027908 absolute error = 2.737852435942236491956e-10 relative error = 2.4796894876284064824027827127760e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=129.7MB, alloc=4.5MB, time=7.62 NO POLE NO POLE x[1] = 0.1044 y2[1] (analytic) = 1.1042104544617453003456019308154 y2[1] (numeric) = 1.1042104544617453003458959123149 absolute error = 2.939814995e-22 relative error = 2.6623683765365473657664712927605e-20 % h = 0.0001 y1[1] (analytic) = 1.1042104544617453003456019308154 y1[1] (numeric) = 1.1042104547484627131226637926571 absolute error = 2.867174127770618618417e-10 relative error = 2.5965830301509340784484764440782e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=133.5MB, alloc=4.5MB, time=7.83 NO POLE NO POLE x[1] = 0.1045 y2[1] (analytic) = 1.1043099094673310058387509330207 y2[1] (numeric) = 1.1043099094673310058390875241398 absolute error = 3.365911191e-22 relative error = 3.0479769873871392099507117317212e-20 % h = 0.0001 y1[1] (analytic) = 1.1043099094673310058387509330207 y1[1] (numeric) = 1.1043099097672789522450255027917 absolute error = 2.999479464062745697710e-10 relative error = 2.7161573380334497722147340550824e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=137.3MB, alloc=4.5MB, time=8.05 NO POLE NO POLE x[1] = 0.1046 y2[1] (analytic) = 1.1044093634298176175278391221099 y2[1] (numeric) = 1.104409363429817617528223349512 absolute error = 3.842274021e-22 relative error = 3.4790306459079262047776716243949e-20 % h = 0.0001 y1[1] (analytic) = 1.1044093634298176175278391221099 y1[1] (numeric) = 1.1044093637432944587511482281136 absolute error = 3.134768412233091060037e-10 relative error = 2.8384116578818715825057433628662e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=141.1MB, alloc=4.5MB, time=8.27 NO POLE NO POLE x[1] = 0.1047 y2[1] (analytic) = 1.1045088163482105957888291642125 y2[1] (numeric) = 1.1045088163482105957892665181561 absolute error = 4.373539436e-22 relative error = 3.9597143737250038380604703722220e-20 % h = 0.0001 y1[1] (analytic) = 1.1045088163482105957888291642125 y1[1] (numeric) = 1.1045088166755146897524747046453 absolute error = 3.273040939636455404328e-10 relative error = 2.9633452365350673615502724149016e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1048 y2[1] (analytic) = 1.1046082682215154114386200510382 y2[1] (numeric) = 1.1046082682215154114391165167295 absolute error = 4.964656913e-22 relative error = 4.4944955201117505809339197791633e-20 % h = 0.0001 y1[1] (analytic) = 1.1046082682215154114386200510382 y1[1] (numeric) = 1.1046082685629451127954167947905 absolute error = 3.414297013567967437523e-10 relative error = 3.0909573210647675097866669322521e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=144.9MB, alloc=4.5MB, time=8.49 NO POLE NO POLE x[1] = 0.1049 y2[1] (analytic) = 1.1047077190487375457449923916998 y2[1] (numeric) = 1.1047077190487375457455544820279 absolute error = 5.620903281e-22 relative error = 5.0881361504744013937767229185864e-20 % h = 0.0001 y1[1] (analytic) = 1.1047077190487375457449923916998 y1[1] (numeric) = 1.104707719404591205871300843175 absolute error = 3.558536601263084514752e-10 relative error = 3.2212471587754777279647607715000e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=148.7MB, alloc=4.5MB, time=8.70 NO POLE NO POLE x[1] = 0.105 y2[1] (analytic) = 1.1048071688288824904365536000268 y2[1] (numeric) = 1.1048071688288824904371883897118 absolute error = 6.347896850e-22 relative error = 5.7457057024067797757749168382422e-20 % h = 0.0001 y1[1] (analytic) = 1.1048071688288824904365536000268 y1[1] (numeric) = 1.1048071691994584574263129280681 absolute error = 3.705759669897593280413e-10 relative error = 3.3542139972043918065465307378547e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=152.5MB, alloc=4.5MB, time=8.91 NO POLE NO POLE x[1] = 0.1051 y2[1] (analytic) = 1.1049066175609557477126829772711 y2[1] (numeric) = 1.1049066175609557477133981384545 absolute error = 7.151611834e-22 relative error = 6.4725939010003786126513722163957e-20 % h = 0.0001 y1[1] (analytic) = 1.1049066175609557477126829772711 y1[1] (numeric) = 1.1049066179465523663714440082854 absolute error = 3.855966186587610310143e-10 relative error = 3.4898570841213044523828117189536e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1052 y2[1] (analytic) = 1.1050060652439628302534766901051 y2[1] (numeric) = 1.1050060652439628302542805294122 absolute error = 8.038393071e-22 relative error = 7.2745239359616424836873059867355e-20 % h = 0.0001 y1[1] (analytic) = 1.1050060652439628302534766901051 y1[1] (numeric) = 1.1050060656448784420924349654732 absolute error = 4.009156118389582753681e-10 relative error = 3.6281756675285241526470211570032e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=156.4MB, alloc=4.5MB, time=9.13 NO POLE NO POLE x[1] = 0.1053 y2[1] (analytic) = 1.1051055118769092612296926438124 y2[1] (numeric) = 1.105105511876909261230594140917 absolute error = 9.014971046e-22 relative error = 8.1575659058011474418494573083695e-20 % h = 0.0001 y1[1] (analytic) = 1.1051055118769092612296926438124 y1[1] (numeric) = 1.1051055122934422044597215416755 absolute error = 4.165329432300288978631e-10 relative error = 3.7691689956607860760149964393884e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=160.2MB, alloc=4.5MB, time=9.35 NO POLE NO POLE x[1] = 0.1054 y2[1] (analytic) = 1.1052049574588005743126952505717 y2[1] (numeric) = 1.1052049574588005743137040982927 absolute error = 1.0088477210e-21 relative error = 9.1281505225930680455874675355306e-20 % h = 0.0001 y1[1] (analytic) = 1.1052049574588005743126952505717 y1[1] (numeric) = 1.1052049578912491838383791720836 absolute error = 4.324486095256839215119e-10 relative error = 3.9128363169851650110673861290434e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=164.0MB, alloc=4.5MB, time=9.57 NO POLE NO POLE x[1] = 0.1055 y2[1] (analytic) = 1.1053044019886423136844000927352 y2[1] (numeric) = 1.1053044019886423136855267386948 absolute error = 1.1266459596e-21 relative error = 1.0193083078045833965826632209473e-19 % h = 0.0001 y1[1] (analytic) = 1.1053044019886423136844000927352 y1[1] (numeric) = 1.1053044024373049210980677128692 absolute error = 4.486626074136676201340e-10 relative error = 4.0591768802009883418928592029978e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=167.8MB, alloc=4.5MB, time=9.78 NO POLE NO POLE x[1] = 0.1056 y2[1] (analytic) = 1.1054038454654400340472184810008 y2[1] (numeric) = 1.1054038454654400340484741708744 absolute error = 1.2556898736e-21 relative error = 1.1359557674338293159541744534187e-19 % h = 0.0001 y1[1] (analytic) = 1.1054038454654400340472184810008 y1[1] (numeric) = 1.1054038459306149676229760640018 absolute error = 4.651749335757575830010e-10 relative error = 4.2081899342397490608875972351004e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1057 y2[1] (analytic) = 1.1055032878881993006340019073801 y2[1] (numeric) = 1.1055032878881993006353987297674 absolute error = 1.3968223873e-21 relative error = 1.2635171714127566696345220530105e-19 % h = 0.0001 y1[1] (analytic) = 1.1055032878881993006340019073801 y1[1] (numeric) = 1.1055032883701848853217666869502 absolute error = 4.819855846877647795701e-10 relative error = 4.3598747282650188187130656419965e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=171.6MB, alloc=4.5MB, time=9.99 NO POLE NO POLE x[1] = 0.1058 y2[1] (analytic) = 1.1056027292559256892179863928614 y2[1] (numeric) = 1.1056027292559256892195373258089 absolute error = 1.5509329475e-21 relative error = 1.4027940655897105351058265357332e-19 % h = 0.0001 y1[1] (analytic) = 1.1056027292559256892179863928614 y1[1] (numeric) = 1.1056027297550202466375200171692 absolute error = 4.990945574195336243078e-10 relative error = 4.5142305116723610114111681431220e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=175.4MB, alloc=4.5MB, time=10.22 NO POLE NO POLE x[1] = 0.1059 y2[1] (analytic) = 1.1057021695676247861227367296688 y2[1] (numeric) = 1.1057021695676247861244556888735 absolute error = 1.7189592047e-21 relative error = 1.5546313030860598222142619237739e-19 % h = 0.0001 y1[1] (analytic) = 1.1057021695676247861227367296688 y1[1] (numeric) = 1.1057021700841266345576787712725 absolute error = 5.165018484349420416037e-10 relative error = 4.6712565340892439046577980198198e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=179.2MB, alloc=4.5MB, time=10.43 NO POLE NO POLE x[1] = 0.106 y2[1] (analytic) = 1.1058016088223021882320906180187 y2[1] (numeric) = 1.1058016088223021882339925067424 absolute error = 1.9018887237e-21 relative error = 1.7199185717640113929527234397506e-19 % h = 0.0001 y1[1] (analytic) = 1.1058016088223021882320906180187 y1[1] (numeric) = 1.1058016093565096426239921487908 absolute error = 5.342074543919015307721e-10 relative error = 4.8309520453749537951159151941182e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1061 y2[1] (analytic) = 1.1059010470189635030001026972731 y2[1] (numeric) = 1.1059010470189635030022034579974 absolute error = 2.1007607243e-21 relative error = 1.8995919480886223289681454504362e-19 % h = 0.0001 y1[1] (analytic) = 1.1059010470189635030001026972731 y1[1] (numeric) = 1.1059010475711748749424599284175 absolute error = 5.522113719423572311444e-10 relative error = 4.9933162956205082088972276791341e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=183.1MB, alloc=4.5MB, time=10.64 NO POLE NO POLE x[1] = 0.1062 y2[1] (analytic) = 1.1060004841566143484609884713902 y2[1] (numeric) = 1.1060004841566143484633051392427 absolute error = 2.3166678525e-21 relative error = 2.0946354777290947635717187407442e-19 % h = 0.0001 y1[1] (analytic) = 1.1060004841566143484609884713902 y1[1] (numeric) = 1.1060004847271279461932764586416 absolute error = 5.705135977322879872514e-10 relative error = 5.1583485351485691371062840830937e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=186.9MB, alloc=4.5MB, time=10.85 NO POLE NO POLE x[1] = 0.1063 y2[1] (analytic) = 1.1060999202342603532390681285749 y2[1] (numeric) = 1.1060999202342603532416188865546 absolute error = 2.5507579797e-21 relative error = 2.3060827806223656839364676569941e-19 % h = 0.0001 y1[1] (analytic) = 1.1060999202342603532390681285749 y1[1] (numeric) = 1.106099920823374481640774542668 absolute error = 5.891141284017064140931e-10 relative error = 5.3260480145133563084272383786478e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=190.7MB, alloc=4.5MB, time=11.07 NO POLE NO POLE x[1] = 0.1064 y2[1] (analytic) = 1.1061993552509071565587102550263 y2[1] (numeric) = 1.1061993552509071565615144910606 absolute error = 2.8042360343e-21 relative error = 2.5350186844612160075419985790483e-19 % h = 0.0001 y1[1] (analytic) = 1.1061993552509071565587102550263 y1[1] (numeric) = 1.1061993558589201171433692175269 absolute error = 6.080129605846589625006e-10 relative error = 5.4964139845005604987768533148670e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=194.5MB, alloc=4.5MB, time=11.28 NO POLE NO POLE x[1] = 0.1065 y2[1] (analytic) = 1.1062987892055604082542754426865 y2[1] (numeric) = 1.1062987892055604082573538085472 absolute error = 3.0783658607e-21 relative error = 2.7825808820694745765298464374471e-19 % h = 0.0001 y1[1] (analytic) = 1.1062987892055604082542754426865 y1[1] (numeric) = 1.1062987898327704991635014272717 absolute error = 6.272100909092259845852e-10 relative error = 5.6694456961272568779614168429462e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1066 y2[1] (analytic) = 1.1063982220972257687800597908883 y2[1] (numeric) = 1.1063982220972257687834342629981 absolute error = 3.3744721098e-21 relative error = 3.0499616163550424949075950450043e-19 % h = 0.0001 y1[1] (analytic) = 1.1063982220972257687800597908883 y1[1] (numeric) = 1.1063982227439312847775815901668 absolute error = 6.467055159975217992785e-10 relative error = 5.8451424006418183933539211300655e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=198.3MB, alloc=4.5MB, time=11.49 NO POLE NO POLE x[1] = 0.1067 y2[1] (analytic) = 1.1064976539249089092202383018042 y2[1] (numeric) = 1.1064976539249089092239322439624 absolute error = 3.6939421582e-21 relative error = 3.3384093902929185989819499900417e-19 % h = 0.0001 y1[1] (analytic) = 1.1064976539249089092202383018042 y1[1] (numeric) = 1.1064976545914081416859330597652 absolute error = 6.664992324656947579610e-10 relative error = 6.0235033495238291905509024385198e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=202.1MB, alloc=4.5MB, time=11.69 NO POLE NO POLE x[1] = 0.1068 y2[1] (analytic) = 1.1065970846876155112988081695962 y2[1] (numeric) = 1.1065970846876155113028463976544 absolute error = 4.0382280582e-21 relative error = 3.6492307038202283603210218443323e-19 % h = 0.0001 y1[1] (analytic) = 1.1065970846876155112988081695962 y1[1] (numeric) = 1.1065970853742067482227354797772 absolute error = 6.865912369239273101810e-10 relative error = 6.2045277944839980710072240634992e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=205.9MB, alloc=4.5MB, time=11.91 NO POLE NO POLE x[1] = 0.1069 y2[1] (analytic) = 1.1066965143843512673895319631674 y2[1] (numeric) = 1.1066965143843512673939408116845 absolute error = 4.4088485171e-21 relative error = 3.9837918162709822779835759915299e-19 % h = 0.0001 y1[1] (analytic) = 1.1066965143843512673895319631674 y1[1] (numeric) = 1.1066965150913327933659680326301 absolute error = 7.069815259764360694627e-10 relative error = 6.3882149874640719866208785128249e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=209.8MB, alloc=4.5MB, time=12.13 x[1] = 0.107 y2[1] (analytic) = 1.1067959430141218805258807024165 y2[1] (numeric) = 1.1067959430141218805306880933226 absolute error = 4.8073909061e-21 relative error = 4.3435205346055928955899600185838e-19 % h = 0.0001 y1[1] (analytic) = 1.1067959430141218805258807024165 y1[1] (numeric) = 1.1067959437417919767473525816199 absolute error = 7.276700962214718792034e-10 relative error = 6.5745641806367495712489371399595e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1071 y2[1] (analytic) = 1.1068953705759330644109768278945 y2[1] (numeric) = 1.1068953705759330644162123411941 absolute error = 5.2355132996e-21 relative error = 4.7299080281417109685536615606587e-19 % h = 0.0001 y1[1] (analytic) = 1.1068953705759330644109768278945 y1[1] (numeric) = 1.1068953713245900086622967065551 absolute error = 7.486569442513198786606e-10 relative error = 6.7635746264055947091439167256004e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=213.6MB, alloc=4.5MB, time=12.35 NO POLE NO POLE x[1] = 0.1072 y2[1] (analytic) = 1.1069947970687905434275370637652 y2[1] (numeric) = 1.1069947970687905434332320103092 absolute error = 5.6949465440e-21 relative error = 5.1445106689567451647324258116553e-19 % h = 0.0001 y1[1] (analytic) = 1.1069947970687905434275370637652 y1[1] (numeric) = 1.1069947978387326100798366327939 absolute error = 7.699420666522995690287e-10 relative error = 6.9552455774049501402899002758655e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=217.4MB, alloc=4.5MB, time=12.57 NO POLE NO POLE x[1] = 0.1073 y2[1] (analytic) = 1.1070942224917000526478151739699 y2[1] (numeric) = 1.1070942224917000526540026703262 absolute error = 6.1874963563e-21 relative error = 5.5889518982169451313427788130799e-19 % h = 0.0001 y1[1] (analytic) = 1.1070942224917000526478151739699 y1[1] (numeric) = 1.1070942232832255126525800535747 absolute error = 7.915254600047648796048e-10 relative error = 7.1495762864998511026159544973233e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=221.2MB, alloc=4.5MB, time=12.80 NO POLE NO POLE x[1] = 0.1074 y2[1] (analytic) = 1.1071936468436673378435446114965 y2[1] (numeric) = 1.1071936468436673378502596569492 absolute error = 6.7150454527e-21 relative error = 6.0649241185974270074882659886241e-19 % h = 0.0001 y1[1] (analytic) = 1.1071936468436673378435446114965 y1[1] (numeric) = 1.1071936476570744587266488455404 absolute error = 8.134071208831042340439e-10 relative error = 7.3465660067859390110716248975449e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1075 y2[1] (analytic) = 1.1072930701236981554958810606538 y2[1] (numeric) = 1.1072930701236981555031606163608 absolute error = 7.2795557070e-21 relative error = 6.5741906125961618700851423216030e-19 % h = 0.0001 y1[1] (analytic) = 1.1072930701236981554958810606538 y1[1] (numeric) = 1.1072930709592852013516216773583 absolute error = 8.355870458557406167045e-10 relative error = 7.5462139915893751735556189973793e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=225.0MB, alloc=4.5MB, time=13.01 NO POLE NO POLE x[1] = 0.1076 y2[1] (analytic) = 1.1073924923307982728053448722518 y2[1] (numeric) = 1.1073924923307982728132279425904 absolute error = 7.8830703386e-21 relative error = 7.1185874865450898818601915237033e-19 % h = 0.0001 y1[1] (analytic) = 1.1073924923307982728053448722518 y1[1] (numeric) = 1.1073924931888635042904765113342 absolute error = 8.580652314851316390824e-10 relative error = 7.7485194944667545436598947007284e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=228.8MB, alloc=4.5MB, time=13.23 NO POLE NO POLE x[1] = 0.1077 y2[1] (analytic) = 1.1074919134639734677017633915879 y2[1] (numeric) = 1.1074919134639734677102911077186 absolute error = 8.5277161307e-21 relative error = 7.7000256408440179752582157814606e-19 % h = 0.0001 y1[1] (analytic) = 1.1074919134639734677017633915879 y1[1] (numeric) = 1.1074919143448151420295329979231 absolute error = 8.808416743277696063352e-10 relative error = 7.9534817692050195102338331230273e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=232.7MB, alloc=4.5MB, time=13.45 NO POLE NO POLE x[1] = 0.1078 y2[1] (analytic) = 1.107591333522229528854213179141 y2[1] (numeric) = 1.1075913335222295288634288848187 absolute error = 9.2157056777e-21 relative error = 8.3204927654980060982827201421564e-19 % h = 0.0001 y1[1] (analytic) = 1.107591333522229528854213179141 y1[1] (numeric) = 1.1075913344261458997883947630358 absolute error = 9.039163709341815838948e-10 relative error = 8.1611000698213737237262199848009e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=236.5MB, alloc=4.5MB, time=13.67 x[1] = 0.1079 y2[1] (analytic) = 1.1076907525045722556809621238716 y2[1] (numeric) = 1.1076907525045722556909114635352 absolute error = 9.9493396636e-21 relative error = 8.9820553625673892644885874364761e-19 % h = 0.0001 y1[1] (analytic) = 1.1076907525045722556809621238716 y1[1] (numeric) = 1.107690753431861573529891588043 absolute error = 9.272893178489294641714e-10 relative error = 8.3713736505631959593187592253089e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.108 y2[1] (analytic) = 1.1077901704100074583594114490316 y2[1] (numeric) = 1.1077901704100074583701424582001 absolute error = 1.07310091685e-20 relative error = 9.6868607928957474201304579793484e-19 % h = 0.0001 y1[1] (analytic) = 1.1077901704100074583594114490316 y1[1] (numeric) = 1.1077901713609679699700214823764 absolute error = 9.509605116106100333448e-10 relative error = 8.5843017659079540167953217846150e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=240.3MB, alloc=4.5MB, time=13.89 NO POLE NO POLE x[1] = 0.1081 y2[1] (analytic) = 1.1078895872375409578360376103814 y2[1] (numeric) = 1.1078895872375409578476008083882 absolute error = 1.15631980068e-20 relative error = 1.0437139350350038014798718965931e-18 % h = 0.0001 y1[1] (analytic) = 1.1078895872375409578360376103814 y1[1] (numeric) = 1.1078895882124709065878926486283 absolute error = 9.749299487518550382469e-10 relative error = 8.7998836705631186571642814345729e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=244.1MB, alloc=4.5MB, time=14.11 NO POLE NO POLE x[1] = 0.1082 y2[1] (analytic) = 1.1079890029861785858363340867174 y2[1] (numeric) = 1.107989002986178585848782571811 absolute error = 1.24484850936e-20 relative error = 1.1235206360396779534030535323011e-18 % h = 0.0001 y1[1] (analytic) = 1.1079890029861785858363340867174 y1[1] (numeric) = 1.10798900398537621163566534005 absolute error = 9.991976257993312533326e-10 relative error = 9.0181186194660775759908040685487e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=247.9MB, alloc=4.5MB, time=14.33 NO POLE NO POLE x[1] = 0.1083 y2[1] (analytic) = 1.1080884176549261848747530626082 y2[1] (numeric) = 1.1080884176549261848881426094505 absolute error = 1.33895468423e-20 relative error = 1.2083464305706412615802518900321e-18 % h = 0.0001 y1[1] (analytic) = 1.1080884176549261848747530626082 y1[1] (numeric) = 1.1080884186786897241484936103493 absolute error = 1.0237635392737405477411e-09 relative error = 9.2390058677840494134393025636054e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1084 y2[1] (analytic) = 1.1081878312427896082646470032422 y2[1] (numeric) = 1.1081878312427896082790361628331 absolute error = 1.43891595909e-20 relative error = 1.2984404976512976528256861318913e-18 % h = 0.0001 y1[1] (analytic) = 1.1081878312427896082646470032422 y1[1] (numeric) = 1.1081878322914172939544669556877 absolute error = 1.0486276856898199524455e-09 relative error = 9.4625446709139978009892687424593e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=251.7MB, alloc=4.5MB, time=14.55 NO POLE NO POLE x[1] = 0.1085 y2[1] (analytic) = 1.1082872437487747201282101212859 y2[1] (numeric) = 1.1082872437487747201436603233444 absolute error = 1.54502020585e-20 relative error = 1.3940611647067043264298683575551e-18 % h = 0.0001 y1[1] (analytic) = 1.1082872437487747201282101212859 y1[1] (numeric) = 1.1082872448225647816845518487787 absolute error = 1.0737900615563417274928e-09 relative error = 9.6887342844825454448256135814270e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=255.5MB, alloc=4.5MB, time=14.78 NO POLE NO POLE x[1] = 0.1086 y2[1] (analytic) = 1.1083866551718873954064197356531 y2[1] (numeric) = 1.1083866551718873954229953934854 absolute error = 1.65756578323e-20 relative error = 1.4954761278436237609631645482182e-18 % h = 0.0001 y1[1] (analytic) = 1.1083866551718873954064197356531 y1[1] (numeric) = 1.1083866562711380587825331649864 absolute error = 1.0992506633761134293333e-09 relative error = 9.9175739643458882458766743285497e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=259.4MB, alloc=4.5MB, time=15.00 NO POLE NO POLE x[1] = 0.1087 y2[1] (analytic) = 1.1084860655111335198689775220874 y2[1] (numeric) = 1.1084860655111335198867461399707 absolute error = 1.77686178833e-20 relative error = 1.6029626746013014118607312888524e-18 % h = 0.0001 y1[1] (analytic) = 1.1084860655111335198689775220874 y1[1] (numeric) = 1.1084860666361430075149555003264 absolute error = 1.1250094876459779782390e-09 relative error = 1.0149062966589709456478476153064e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=263.2MB, alloc=4.5MB, time=15.21 x[1] = 0.1088 y2[1] (analytic) = 1.1085854747655189901242506554567 y2[1] (numeric) = 1.1085854747655189901432829385692 absolute error = 1.90322831125e-20 relative error = 1.7168079093337921032595718354278e-18 % h = 0.0001 y1[1] (analytic) = 1.1085854747655189901242506554567 y1[1] (numeric) = 1.1085854759165855209810643812684 absolute error = 1.1510665308568137258117e-09 relative error = 1.0383200547529093873653770776773e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1089 y2[1] (analytic) = 1.1086848829340497136292128436612 y2[1] (numeric) = 1.108684882934049713649582810588 absolute error = 2.03699669268e-20 relative error = 1.8373089811500307553651957836440e-18 % h = 0.0001 y1[1] (analytic) = 1.1086848829340497136292128436612 y1[1] (numeric) = 1.1086848841114715031227473662421 absolute error = 1.1774217894935345225809e-09 relative error = 1.0619985963708442068988967869697e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=267.0MB, alloc=4.5MB, time=15.43 NO POLE NO POLE x[1] = 0.109 y2[1] (analytic) = 1.1087842900157316086993852530554 y2[1] (numeric) = 1.1087842900157316087211703509003 absolute error = 2.17850978449e-20 relative error = 1.9647733144371038617748464488771e-18 % h = 0.0001 y1[1] (analytic) = 1.1087842900157316086993852530554 y1[1] (numeric) = 1.1087842912198068687344750387459 absolute error = 1.2040752600350897856905e-09 relative error = 1.0859418471901384655082163245606e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=270.8MB, alloc=4.5MB, time=15.64 NO POLE NO POLE x[1] = 0.1091 y2[1] (analytic) = 1.1088836960095706045187773252847 y2[1] (numeric) = 1.1088836960095706045420585474172 absolute error = 2.32812221325e-20 relative error = 2.0995188419019791733726011797442e-18 % h = 0.0001 y1[1] (analytic) = 1.1088836960095706045187773252847 y1[1] (numeric) = 1.1088836972405975434732418919603 absolute error = 1.2310269389544645666756e-09 relative error = 1.1101497329110696588556225611361e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=274.6MB, alloc=4.5MB, time=15.86 NO POLE NO POLE x[1] = 0.1092 y2[1] (analytic) = 1.1089831009145726411498274854369 y2[1] (numeric) = 1.1089831009145726411746894919047 absolute error = 2.48620064678e-20 relative error = 2.2418742402202911432969226737613e-18 % h = 0.0001 y1[1] (analytic) = 1.1089831009145726411498274854369 y1[1] (numeric) = 1.1089831021728494638685071047653 absolute error = 1.2582768227186796193284e-09 relative error = 1.1346221792568211509610165156367e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1093 y2[1] (analytic) = 1.1090825047297436695433437414095 y2[1] (numeric) = 1.1090825047297436695698749820463 absolute error = 2.65312406368e-20 relative error = 2.3921791682454693159233240860635e-18 % h = 0.0001 y1[1] (analytic) = 1.1090825047297436695433437414095 y1[1] (numeric) = 1.1090825060155685773321352090634 absolute error = 1.2858249077887914676539e-09 relative error = 1.1593591119734736118097351378887e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=278.4MB, alloc=4.5MB, time=16.07 NO POLE NO POLE x[1] = 0.1094 y2[1] (analytic) = 1.1091819074540896515484441743935 y2[1] (numeric) = 1.1091819074540896515767370146515 absolute error = 2.82928402580e-20 relative error = 2.5507845077405460705057513464211e-18 % h = 0.0001 y1[1] (analytic) = 1.1091819074540896515484441743935 y1[1] (numeric) = 1.1091819087677608421683366483078 absolute error = 1.3136711906198924739143e-09 relative error = 1.1843604568299964586102924493953e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=282.2MB, alloc=4.5MB, time=16.29 NO POLE NO POLE x[1] = 0.1095 y2[1] (analytic) = 1.1092813090866165599224973203738 y2[1] (numeric) = 1.1092813090866165599526481699113 absolute error = 3.01508495375e-20 relative error = 2.7180526067212150543117389110909e-18 % h = 0.0001 y1[1] (analytic) = 1.1092813090866165599224973203738 y1[1] (numeric) = 1.1092813104284322275836082271379 absolute error = 1.3418156676611109067641e-09 relative error = 1.2096261396182393007020707546085e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=286.1MB, alloc=4.5MB, time=16.50 NO POLE NO POLE x[1] = 0.1096 y2[1] (analytic) = 1.1093807096263303783410624425475 y2[1] (numeric) = 1.1093807096263303783731718866007 absolute error = 3.21094440532e-20 relative error = 2.8943575252913253570285248053919e-18 % h = 0.0001 y1[1] (analytic) = 1.1093807096263303783410624425475 y1[1] (numeric) = 1.1093807109965887136966734520206 absolute error = 1.3702583353556110094731e-09 relative error = 1.2351560861529233881086655679805e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=289.9MB, alloc=4.5MB, time=16.72 x[1] = 0.1097 y2[1] (analytic) = 1.1094801090722371014078296945594 y2[1] (numeric) = 1.1094801090722371014420026281293 absolute error = 3.41729335699e-20 relative error = 3.0800852841314918670483613727185e-18 % h = 0.0001 y1[1] (analytic) = 1.1094801090722371014078296945594 y1[1] (numeric) = 1.1094801104712362915484227628001 absolute error = 1.3989991901405930682407e-09 relative error = 1.2609502222716330637381788779200e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1098 y2[1] (analytic) = 1.1095795074233427346645601744576 y2[1] (numeric) = 1.1095795074233427347009059393406 absolute error = 3.63457648830e-20 relative error = 3.2756341154318778310066078654218e-18 % h = 0.0001 y1[1] (analytic) = 1.1095795074233427346645601744576 y1[1] (numeric) = 1.1095795088513809631118536550555 absolute error = 1.4280382284472934805979e-09 relative error = 1.2870084738348072192254454385395e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=293.7MB, alloc=4.5MB, time=16.93 NO POLE NO POLE x[1] = 0.1099 y2[1] (analytic) = 1.1096789046786532946010258692669 y2[1] (numeric) = 1.1096789046786532946396583939598 absolute error = 3.86325246929e-20 relative error = 3.4814147164568665466889430953209e-18 % h = 0.0001 y1[1] (analytic) = 1.1096789046786532946010258692669 y1[1] (numeric) = 1.109678906136028741302010693167 absolute error = 1.4573754467009848239001e-09 relative error = 1.3133307667257307544172178506616e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=297.5MB, alloc=4.5MB, time=17.15 NO POLE NO POLE x[1] = 0.11 y2[1] (analytic) = 1.1097783008371748086649494900834 y2[1] (numeric) = 1.1097783008371748087059874325921 absolute error = 4.10379425087e-20 relative error = 3.6978505056138263926147755452642e-18 % h = 0.0001 y1[1] (analytic) = 1.1097783008371748086649494900834 y1[1] (numeric) = 1.1097783023241856499859254139916 absolute error = 1.4870108413209759239082e-09 relative error = 1.3399170268505260404962890998952e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=301.3MB, alloc=4.5MB, time=17.38 NO POLE NO POLE x[1] = 0.1101 y2[1] (analytic) = 1.1098776958979133152719441975887 y2[1] (numeric) = 1.1098776958979133153155110911706 absolute error = 4.35668935819e-20 relative error = 3.9253778810874750781414574778903e-18 % h = 0.0001 y1[1] (analytic) = 1.1098776958979133152719441975887 y1[1] (numeric) = 1.1098776974148577239925561210489 absolute error = 1.5169444087206119234602e-09 relative error = 1.3667671801381443867447684960063e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1102 y2[1] (analytic) = 1.1099770898598748638154532178852 y2[1] (numeric) = 1.1099770898598748638616776197556 absolute error = 4.62244018704e-20 relative error = 4.1644464820652682393946099108010e-18 % h = 0.0001 y1[1] (analytic) = 1.1099770898598748638154532178852 y1[1] (numeric) = 1.1099770914070510091227275691171 absolute error = 1.5471761453072743512319e-09 relative error = 1.3938811525403575109434831876227e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=305.1MB, alloc=4.5MB, time=17.61 NO POLE NO POLE x[1] = 0.1103 y2[1] (analytic) = 1.110076482722065514676689348554 y2[1] (numeric) = 1.1100764827220655147257049915852 absolute error = 4.90156430312e-20 relative error = 4.4155194524080600007090688333920e-18 % h = 0.0001 y1[1] (analytic) = 1.110076482722065514676689348554 y1[1] (numeric) = 1.1100764842997715621590705391405 absolute error = 1.5777060474823811905865e-09 relative error = 1.4212588700317490134055602967255e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=308.9MB, alloc=4.5MB, time=17.83 NO POLE NO POLE x[1] = 0.1104 y2[1] (analytic) = 1.110175874483491339234574354834 y2[1] (numeric) = 1.1101758744834913392865203022781 absolute error = 5.19459474441e-20 relative error = 4.6790737069716832875787899856406e-18 % h = 0.0001 y1[1] (analytic) = 1.110175874483491339234574354834 y1[1] (numeric) = 1.1101758760920254508759613033486 absolute error = 1.6085341116413869485146e-09 relative error = 1.4489002586097058546437770945110e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=312.8MB, alloc=4.5MB, time=18.05 NO POLE NO POLE x[1] = 0.1105 y2[1] (analytic) = 1.1102752651431584198756782558247 y2[1] (numeric) = 1.1102752651431584199306990590889 absolute error = 5.50208032642e-20 relative error = 4.9556002003796455879597168165449e-18 % h = 0.0001 y1[1] (analytic) = 1.1102752651431584198756782558247 y1[1] (numeric) = 1.1102752667828187540494609804874 absolute error = 1.6396603341737827246627e-09 relative error = 1.4768052442944098366682043274449e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=316.6MB, alloc=4.5MB, time=18.26 x[1] = 0.1106 y2[1] (analytic) = 1.1103746547000728500041585006119 y2[1] (numeric) = 1.1103746547000728500624043601172 absolute error = 5.82458595053e-20 relative error = 5.2456041984345356993425709141462e-18 % h = 0.0001 y1[1] (analytic) = 1.1103746547000728500041585006119 y1[1] (numeric) = 1.1103746563711575614672547810642 absolute error = 1.6710847114630962804523e-09 relative error = 1.5049737531288290879142723740411e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1107 y2[1] (analytic) = 1.1104740431532407340516990342182 y2[1] (numeric) = 1.1104740431532407341133259633702 absolute error = 6.16269291520e-20 relative error = 5.5496055519683807427086172268748e-18 % h = 0.0001 y1[1] (analytic) = 1.1104740431532407340516990342182 y1[1] (numeric) = 1.1104740448560479739385911425051 absolute error = 1.7028072398868921082869e-09 relative error = 1.5334057111787095517970670375923e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=320.4MB, alloc=4.5MB, time=18.48 NO POLE NO POLE x[1] = 0.1108 y2[1] (analytic) = 1.1105734305016681874874492532776 y2[1] (numeric) = 1.11057343050166818755261924558 absolute error = 6.51699923024e-20 relative error = 5.8681389733015144773807238186071e-18 % h = 0.0001 y1[1] (analytic) = 1.1105734305016681874874492532776 y1[1] (numeric) = 1.1105734322364961033042207541278 absolute error = 1.7348279158167715008502e-09 relative error = 1.5621010445325664788930670927137e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=324.2MB, alloc=4.5MB, time=18.71 NO POLE NO POLE x[1] = 0.1109 y2[1] (analytic) = 1.1106728167443613368279628513359 y2[1] (numeric) = 1.1106728167443613368968440506763 absolute error = 6.88811993404e-20 relative error = 6.2017543152182936538581165905306e-18 % h = 0.0001 y1[1] (analytic) = 1.1106728167443613368279628513359 y1[1] (numeric) = 1.1106728185115080724463354718281 absolute error = 1.7671467356183726204922e-09 relative error = 1.5910596793016759227445921881522e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=328.0MB, alloc=4.5MB, time=18.94 NO POLE NO POLE x[1] = 0.111 y2[1] (analytic) = 1.1107722018803263196471365536769 y2[1] (numeric) = 1.1107722018803263197199034278142 absolute error = 7.27668741373e-20 relative error = 6.5510168524310840619902902103390e-18 % h = 0.0001 y1[1] (analytic) = 1.1107722018803263196471365536769 y1[1] (numeric) = 1.1107722036800900152985071223826 absolute error = 1.7997636956513705687057e-09 relative error = 1.6202815416200662392874543843590e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1111 y2[1] (analytic) = 1.1108715859085692845861487415749 y2[1] (numeric) = 1.1108715859085692846629822588593 absolute error = 7.68335172844e-20 relative error = 6.9165075656839972814785836960535e-18 % h = 0.0001 y1[1] (analytic) = 1.1108715859085692845861487415749 y1[1] (numeric) = 1.1108715877412480768556261972669 absolute error = 1.8326787922694774556920e-09 relative error = 1.6497665576445095898989752300836e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=331.8MB, alloc=4.5MB, time=19.17 NO POLE NO POLE x[1] = 0.1112 y2[1] (analytic) = 1.1109709688280963913633979658748 y2[1] (numeric) = 1.1109709688280963914444857752291 absolute error = 8.10878093543e-20 relative error = 7.2988234282877054063903551583878e-18 % h = 0.0001 y1[1] (analytic) = 1.1109709688280963913633979658748 y1[1] (numeric) = 1.110970970693988413183840435891 absolute error = 1.8658920218204424700162e-09 relative error = 1.6795146535545134480649721920886e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=335.7MB, alloc=4.5MB, time=19.40 NO POLE NO POLE x[1] = 0.1113 y2[1] (analytic) = 1.1110703506379138107844413498 y2[1] (numeric) = 1.1110703506379138108699779639923 absolute error = 8.55366141923e-20 relative error = 7.6985776952098226406893142374675e-18 % h = 0.0001 y1[1] (analytic) = 1.1110703506379138107844413498 y1[1] (numeric) = 1.1110703525373171914304932981512 absolute error = 1.8994033806460519483512e-09 relative error = 1.7095257555523121096631489055687e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=339.5MB, alloc=4.5MB, time=19.63 NO POLE NO POLE x[1] = 0.1114 y2[1] (analytic) = 1.1111697313370277247519328808881 y2[1] (numeric) = 1.1111697313370277248421198631262 absolute error = 9.01869822381e-20 relative error = 8.1164001947372593694163151352603e-18 % h = 0.0001 y1[1] (analytic) = 1.1111697313370277247519328808881 y1[1] (numeric) = 1.1111697332702405898340623262005 absolute error = 1.9332128650821294453124e-09 relative error = 1.7397997898628582068629351083774e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=343.3MB, alloc=4.5MB, time=19.85 x[1] = 0.1115 y2[1] (analytic) = 1.1112691109244443262755615919567 y2[1] (numeric) = 1.1112691109244443263706077458331 absolute error = 9.50461538764e-20 relative error = 8.5529376225829631328584209097439e-18 % h = 0.0001 y1[1] (analytic) = 1.1112691109244443262755615919567 y1[1] (numeric) = 1.1112691128917647977340973953371 absolute error = 1.9673204714585358033804e-09 relative error = 1.7703366827338142256375923885599e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1116 y2[1] (analytic) = 1.1113684893991698194819896309977 y2[1] (numeric) = 1.111368489399169819582111193816 absolute error = 1.001215628183e-19 relative error = 9.0088538386064835058534943124160e-18 % h = 0.0001 y1[1] (analytic) = 1.1113684893991698194819896309977 y1[1] (numeric) = 1.1113684914008960155811588539123 absolute error = 2.0017261960991692229146e-09 relative error = 1.8011363604355440268894433985316e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=347.1MB, alloc=4.5MB, time=20.08 NO POLE NO POLE x[1] = 0.1117 y2[1] (analytic) = 1.1114678667602104196247902199024 y2[1] (numeric) = 1.1114678667602104197302110594145 absolute error = 1.054208395121e-19 relative error = 9.4848301660207721015836189300920e-18 % h = 0.0001 y1[1] (analytic) = 1.1114678667602104196247902199024 y1[1] (numeric) = 1.1114678687966404549467555521576 absolute error = 2.0364300353219653322552e-09 relative error = 1.8321987492611043711842228339542e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=350.9MB, alloc=4.5MB, time=20.31 NO POLE NO POLE x[1] = 0.1118 y2[1] (analytic) = 1.1115672430065723530943855019181 y2[1] (numeric) = 1.1115672430065723532053373165014 absolute error = 1.109518145833e-19 relative error = 9.9815656930656759429446119776047e-18 % h = 0.0001 y1[1] (analytic) = 1.1115672430065723530943855019181 y1[1] (numeric) = 1.1115672450780043385332827598328 absolute error = 2.0714319854388972579147e-09 relative error = 1.8635237755262364470937897064486e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=354.7MB, alloc=4.5MB, time=20.55 NO POLE NO POLE x[1] = 0.1119 y2[1] (analytic) = 1.1116666181372618574279842777347 y2[1] (numeric) = 1.1116666181372618575447068000405 absolute error = 1.167225223058e-19 relative error = 1.0499777577326497562559231338230e-17 % h = 0.0001 y1[1] (analytic) = 1.1116666181372618574279842777347 y1[1] (numeric) = 1.1116666202439939001839599725946 absolute error = 2.1067320427559756948599e-09 relative error = 1.8951113655693574031463507268214e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.112 y2[1] (analytic) = 1.1117659921512851813195196301052 y2[1] (numeric) = 1.1117659921512851814422608342065 absolute error = 1.227412041013e-19 relative error = 1.1040201352426132797731958919419e-17 % h = 0.0001 y1[1] (analytic) = 1.1117659921512851813195196301052 y1[1] (numeric) = 1.1117659942936153848927686069867 absolute error = 2.1423302035732489768815e-09 relative error = 1.9269614457515518833798369899396e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=358.5MB, alloc=4.5MB, time=20.78 NO POLE NO POLE x[1] = 0.1121 y2[1] (analytic) = 1.1118653650476485846295864368974 y2[1] (numeric) = 1.1118653650476485847586027489674 absolute error = 1.290163120700e-19 relative error = 1.1603591237368119026640547958150e-17 % h = 0.0001 y1[1] (analytic) = 1.1118653650476485846295864368974 y1[1] (numeric) = 1.1118653672258750488143895839524 absolute error = 2.1782264641848031470550e-09 relative error = 1.9590739424565635665000149379602e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=362.4MB, alloc=4.5MB, time=21.01 NO POLE NO POLE x[1] = 0.1122 y2[1] (analytic) = 1.1119647368253583383953787724801 y2[1] (numeric) = 1.1119647368253583385309352850299 absolute error = 1.355565125498e-19 relative error = 1.2190720448277136035874626829481e-17 % h = 0.0001 y1[1] (analytic) = 1.1119647368253583383953787724801 y1[1] (numeric) = 1.1119647390397791592741408007701 absolute error = 2.2144208208787620282900e-09 relative error = 1.9914487820907867086389757077019e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=366.2MB, alloc=4.5MB, time=21.24 NO POLE NO POLE x[1] = 0.1123 y2[1] (analytic) = 1.1120641074834207248406271973426 y2[1] (numeric) = 1.112064107483420724982997887049 absolute error = 1.423706897064e-19 relative error = 1.2802381512751281927148404915181e-17 % h = 0.0001 y1[1] (analytic) = 1.1120641074834207248406271973426 y1[1] (numeric) = 1.1120641097343339947779144913117 absolute error = 2.2509132699372872939691e-09 relative error = 2.0240858910832576897133366193233e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=370.0MB, alloc=4.5MB, time=21.47 x[1] = 0.1124 y2[1] (analytic) = 1.1121634770208420373855359358494 y2[1] (numeric) = 1.1121634770208420375350038850018 absolute error = 1.494679491524e-19 relative error = 1.3439386586653659552175974069054e-17 % h = 0.0001 y1[1] (analytic) = 1.1121634770208420373855359358494 y1[1] (numeric) = 1.1121634793085458450221144745255 absolute error = 2.2877038076365785386761e-09 relative error = 2.0569851958856465633801400169815e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1125 y2[1] (analytic) = 1.1122628454366285806567199420296 y2[1] (numeric) = 1.1122628454366285808135775636265 absolute error = 1.568576215969e-19 relative error = 1.4102567773476615457249860970613e-17 % h = 0.0001 y1[1] (analytic) = 1.1122628454366285806567199420296 y1[1] (numeric) = 1.1122628477614210109035932910438 absolute error = 2.3247924302468733490142e-09 relative error = 2.0901466229722486105893348803535e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=373.8MB, alloc=4.5MB, time=21.70 NO POLE NO POLE x[1] = 0.1126 y2[1] (analytic) = 1.1123622127297866704971418533027 y2[1] (numeric) = 1.1123622127297866706616911198268 absolute error = 1.645492665241e-19 relative error = 1.4792777446142181787972031552032e-17 % h = 0.0001 y1[1] (analytic) = 1.1123622127297866704971418533027 y1[1] (numeric) = 1.1123622150919658045295892278157 absolute error = 2.3621791340324473745130e-09 relative error = 2.1235700988399758967300190460710e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=377.6MB, alloc=4.5MB, time=21.93 NO POLE NO POLE x[1] = 0.1127 y2[1] (analytic) = 1.1124615788993226339760488320404 y2[1] (numeric) = 1.1124615788993226341486015079431 absolute error = 1.725526759027e-19 relative error = 1.5510888571399008653816581852175e-17 % h = 0.0001 y1[1] (analytic) = 1.1124615788993226339760488320404 y1[1] (numeric) = 1.1124615812991865492276632306657 absolute error = 2.3998639152516143986253e-09 relative error = 2.1572555500083488323695991917598e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=381.4MB, alloc=4.5MB, time=22.17 NO POLE NO POLE x[1] = 0.1128 y2[1] (analytic) = 1.1125609439442428093989092948664 y2[1] (numeric) = 1.1125609439442428095797871727903 absolute error = 1.808778779239e-19 relative error = 1.6257795036616429146024461451429e-17 % h = 0.0001 y1[1] (analytic) = 1.1125609439442428093989092948664 y1[1] (numeric) = 1.1125609463820895795556357046792 absolute error = 2.4378467701567264098128e-09 relative error = 2.1912029030194877375833182667914e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1129 y2[1] (analytic) = 1.1126603078635535463173495295925 y2[1] (numeric) = 1.1126603078635535465068846703633 absolute error = 1.895351407708e-19 relative error = 1.7034411979225815166882560815038e-17 % h = 0.0001 y1[1] (analytic) = 1.1126603078635535463173495295925 y1[1] (numeric) = 1.1126603103396812413115232023152 absolute error = 2.4761276949941736727227e-09 relative error = 2.2254120844381044098742079429540e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=385.2MB, alloc=4.5MB, time=22.40 NO POLE NO POLE x[1] = 0.113 y2[1] (analytic) = 1.1127596706562612055390901996952 y2[1] (numeric) = 1.1127596706562612057376251761107 absolute error = 1.985349764155e-19 relative error = 1.7841676118475070292268549655408e-17 % h = 0.0001 y1[1] (analytic) = 1.1127596706562612055390901996952 y1[1] (numeric) = 1.1127596731709678915434749991464 absolute error = 2.5147066860043847994512e-09 relative error = 2.2598830208514936956781313185315e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=389.1MB, alloc=4.5MB, time=22.63 NO POLE NO POLE x[1] = 0.1131 y2[1] (analytic) = 1.1128590323213721591378827362293 y2[1] (numeric) = 1.1128590323213721593457708806777 absolute error = 2.078881444484e-19 relative error = 1.8680546089899185514463583784566e-17 % h = 0.0001 y1[1] (analytic) = 1.1128590323213721591378827362293 y1[1] (numeric) = 1.1128590348749558985597095571284 absolute error = 2.5535837394218268208991e-09 relative error = 2.2946156388695250654568516163399e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=392.9MB, alloc=4.5MB, time=22.86 NO POLE NO POLE x[1] = 0.1132 y2[1] (analytic) = 1.1129583928578927904634456170824 y2[1] (numeric) = 1.1129583928578927906810512730177 absolute error = 2.176056559353e-19 relative error = 1.9552002782109825516376311852987e-17 % h = 0.0001 y1[1] (analytic) = 1.1129583928578927904634456170824 y1[1] (numeric) = 1.1129583954506516419384508752976 absolute error = 2.5927588514750052582152e-09 relative error = 2.3296098651246341923735244124664e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=396.7MB, alloc=4.5MB, time=23.10 NO POLE NO POLE x[1] = 0.1133 y2[1] (analytic) = 1.1130577522648294941514005334698 y2[1] (numeric) = 1.113057752264829494379099310775 absolute error = 2.276987773052e-19 relative error = 2.0457049676163047721563029890484e-17 % h = 0.0001 y1[1] (analytic) = 1.1130577522648294941514005334698 y1[1] (numeric) = 1.113057754897061512537864727799 absolute error = 2.6322320183864641943292e-09 relative error = 2.3648656262718145345504051913303e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1134 y2[1] (analytic) = 1.1131571105411886761332084435694 y2[1] (numeric) = 1.1131571105411886763713874778376 absolute error = 2.381790342682e-19 relative error = 2.1396713187449650406025939158668e-17 % h = 0.0001 y1[1] (analytic) = 1.1131571105411886761332084435694 y1[1] (numeric) = 1.1131571132131919125059947891443 absolute error = 2.6720032363727863455749e-09 relative error = 2.4003828489886089209077553623385e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=400.5MB, alloc=4.5MB, time=23.33 NO POLE NO POLE x[1] = 0.1135 y2[1] (analytic) = 1.1132564676859767536461055131991 y2[1] (numeric) = 1.1132564676859767538951637289616 absolute error = 2.490582157625e-19 relative error = 2.2372043010016755252819617733041e-17 % h = 0.0001 y1[1] (analytic) = 1.1132564676859767536461055131991 y1[1] (numeric) = 1.1132564703980492552906986466012 absolute error = 2.7120725016445931334021e-09 relative error = 2.4361614599751011405807744644386e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=404.3MB, alloc=4.5MB, time=23.56 NO POLE NO POLE x[1] = 0.1136 y2[1] (analytic) = 1.1133558236982001552430389434364 y2[1] (numeric) = 1.1133558236982001555033873213678 absolute error = 2.603483779314e-19 relative error = 2.3384112463399950303069886476986e-17 % h = 0.0001 y1[1] (analytic) = 1.1133558236982001552430389434364 y1[1] (numeric) = 1.1133558264506399656495836996142 absolute error = 2.7524398104065447561778e-09 relative error = 2.4722013859539075359133642603362e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=408.1MB, alloc=4.5MB, time=23.81 NO POLE NO POLE x[1] = 0.1137 y2[1] (analytic) = 1.11345517857686532080260268508 y2[1] (numeric) = 1.1134551785768653210746645332108 absolute error = 2.720618481308e-19 relative error = 2.4434018842009338504515396281818e-17 % h = 0.0001 y1[1] (analytic) = 1.11345517857686532080260268508 y1[1] (numeric) = 1.1134551813699704796599429461577 absolute error = 2.7931051588573402610777e-09 relative error = 2.5085025536701685990278902197194e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1138 y2[1] (analytic) = 1.1135545323209787015389730398563 y2[1] (numeric) = 1.1135545323209787018231842688216 absolute error = 2.842112289653e-19 relative error = 2.5522883766897280167480094240832e-17 % h = 0.0001 y1[1] (analytic) = 1.1135545323209787015389730398563 y1[1] (numeric) = 1.1135545351550472447286906559224 absolute error = 2.8340685431897176160661e-09 relative error = 2.5450648898915405719675019166324e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=411.9MB, alloc=4.5MB, time=24.37 NO POLE NO POLE x[1] = 0.1139 y2[1] (analytic) = 1.1136538849295467600118441482689 y2[1] (numeric) = 1.1136538849295467603086535506239 absolute error = 2.968094023550e-19 relative error = 2.6651853540094918659211150169972e-17 % h = 0.0001 y1[1] (analytic) = 1.1136538849295467600118441482689 y1[1] (numeric) = 1.1136538878048767196022979302347 absolute error = 2.8753299595904537819658e-09 relative error = 2.5818883214081870504107188313135e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=415.8MB, alloc=4.5MB, time=24.95 NO POLE NO POLE x[1] = 0.114 y2[1] (analytic) = 1.1137532364015759701363633639937 y2[1] (numeric) = 1.1137532364015759704462328976254 absolute error = 3.098695336317e-19 relative error = 2.7822099501399171154906701797358e-17 % h = 0.0001 y1[1] (analytic) = 1.1137532364015759701363633639937 y1[1] (numeric) = 1.1137532393184653743767281486109 absolute error = 2.9168894042403647846172e-09 relative error = 2.6189727750327705909558330839616e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=419.6MB, alloc=4.5MB, time=25.52 NO POLE NO POLE x[1] = 0.1141 y2[1] (analytic) = 1.1138525867360728171930665147186 y2[1] (numeric) = 1.113852586736072817516471590384 absolute error = 3.234050756654e-19 relative error = 2.9034818387689463453545698661179e-17 % h = 0.0001 y1[1] (analytic) = 1.1138525867360728171930665147186 y1[1] (numeric) = 1.1138525896948196905073723018458 absolute error = 2.9587468733143057871272e-09 relative error = 2.6563181776004443219739389777203e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=423.4MB, alloc=4.5MB, time=26.10 NO POLE NO POLE x[1] = 0.1142 y2[1] (analytic) = 1.1139519359320437978378130493305 y2[1] (numeric) = 1.1139519359320437981752428223505 absolute error = 3.374297730200e-19 relative error = 3.0291232694673890429632599413097e-17 % h = 0.0001 y1[1] (analytic) = 1.1139519359320437978378130493305 y1[1] (numeric) = 1.1139519389329461608189842115374 absolute error = 3.0009023629811711622069e-09 relative error = 2.6939244559688435580279634536973e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1143 y2[1] (analytic) = 1.1140512839884954201117210713481 y2[1] (numeric) = 1.1140512839884954204636787374869 absolute error = 3.519576661388e-19 relative error = 3.1592591041117151557908224125968e-17 % h = 0.0001 y1[1] (analytic) = 1.1140512839884954201117210713481 y1[1] (numeric) = 1.1140512870318512895156156359472 absolute error = 3.0433558694038945645991e-09 relative error = 2.7317915370180774178568683880127e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=427.2MB, alloc=4.5MB, time=26.68 NO POLE NO POLE x[1] = 0.1144 y2[1] (analytic) = 1.1141506309044342034511022585025 y2[1] (numeric) = 1.114150630904434203818105354063 absolute error = 3.670030955605e-19 relative error = 3.2940168535611549139409549151029e-17 % h = 0.0001 y1[1] (analytic) = 1.1141506309044342034511022585025 y1[1] (numeric) = 1.1141506339905415921905512620975 absolute error = 3.0861073887394490035950e-09 relative error = 2.7699193476507204459227598852778e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=431.0MB, alloc=4.5MB, time=27.24 NO POLE NO POLE x[1] = 0.1145 y2[1] (analytic) = 1.1142499766788666786973966683658 y2[1] (numeric) = 1.1142499766788666790799773745302 absolute error = 3.825807061644e-19 relative error = 3.4335267145772800295363323755474e-17 % h = 0.0001 y1[1] (analytic) = 1.1142499766788666786973966683658 y1[1] (numeric) = 1.1142499798080235958362435840066 absolute error = 3.1291569171388469156408e-09 relative error = 2.8083078147918042375198077472224e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=434.8MB, alloc=4.5MB, time=27.82 NO POLE NO POLE x[1] = 0.1146 y2[1] (analytic) = 1.1143493213107993881071074299283 y2[1] (numeric) = 1.1143493213107993885058128813737 absolute error = 3.987054514454e-19 relative error = 3.5779216069913001309684518667741e-17 % h = 0.0001 y1[1] (analytic) = 1.1143493213107993881071074299283 y1[1] (numeric) = 1.1143493244833038388542476669615 absolute error = 3.1725044507471402370332e-09 relative error = 2.8469568653888090674423532285004e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1147 y2[1] (analytic) = 1.1144486647992388853617353210254 y2[1] (numeric) = 1.1144486647992388857771279188445 absolute error = 4.153925978191e-19 relative error = 3.7273372111216126524207876672930e-17 % h = 0.0001 y1[1] (analytic) = 1.1144486647992388853617353210254 y1[1] (numeric) = 1.1144486680153888710651557977297 absolute error = 3.2161499857034204767043e-09 relative error = 2.8858664264116555222109307237050e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=438.6MB, alloc=4.5MB, time=28.39 NO POLE NO POLE x[1] = 0.1148 y2[1] (analytic) = 1.1145480071431917355777132315142 y2[1] (numeric) = 1.1145480071431917360103709604707 absolute error = 4.326577289565e-19 relative error = 3.8819120054369648005494299430035e-17 % h = 0.0001 y1[1] (analytic) = 1.1145480071431917355777132315142 y1[1] (numeric) = 1.1145480104032852537185320206104 absolute error = 3.2600935181408187890962e-09 relative error = 2.9250364248526961358547501988228e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=442.5MB, alloc=4.5MB, time=28.96 NO POLE NO POLE x[1] = 0.1149 y2[1] (analytic) = 1.1146473483416645153163405121009 y2[1] (numeric) = 1.1146473483416645157668572622495 absolute error = 4.505167501486e-19 relative error = 4.0417873044677666963841213865684e-17 % h = 0.0001 y1[1] (analytic) = 1.1146473483416645153163405121009 y1[1] (numeric) = 1.1146473516459995595028465592259 absolute error = 3.3043350441865060471250e-09 relative error = 2.9644667877267070292486496353007e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=446.3MB, alloc=4.5MB, time=29.53 NO POLE NO POLE x[1] = 0.115 y2[1] (analytic) = 1.1147466883936638125937172087197 y2[1] (numeric) = 1.1147466883936638130627031014202 absolute error = 4.689858927005e-19 relative error = 4.2071072969618135357825476346553e-17 % h = 0.0001 y1[1] (analytic) = 1.1147466883936638125937172087197 y1[1] (numeric) = 1.1147466917425383725554101239534 absolute error = 3.3488745599616929152337e-09 relative error = 3.0041574420708795530023484670909e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=450.1MB, alloc=4.5MB, time=30.11 NO POLE NO POLE x[1] = 0.1151 y2[1] (analytic) = 1.1148460272981962268906781823631 y2[1] (numeric) = 1.1148460272981962273787599007192 absolute error = 4.880817183561e-19 relative error = 4.3780190842941320611694729258461e-17 % h = 0.0001 y1[1] (analytic) = 1.1148460272981962268906781823631 y1[1] (numeric) = 1.1148460306919082884723081048985 absolute error = 3.3937120615816299225354e-09 relative error = 3.0441083149448119339015385145731e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1152 y2[1] (analytic) = 1.1149453650542683691627271142656 y2[1] (numeric) = 1.1149453650542683696705482380172 absolute error = 5.078211237516e-19 relative error = 4.5546727191146494783299844479810e-17 % h = 0.0001 y1[1] (analytic) = 1.1149453650542683691627271142656 y1[1] (numeric) = 1.1149453684931159143183346503109 absolute error = 3.4388475451556075360453e-09 relative error = 3.0843193334305009248977479316666e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=453.9MB, alloc=4.5MB, time=30.68 NO POLE NO POLE x[1] = 0.1153 y2[1] (analytic) = 1.1150447016608868618499703963405 y2[1] (numeric) = 1.1150447016608868623781917412398 absolute error = 5.282213448993e-19 relative error = 4.7372212442469898056585578806442e-17 % h = 0.0001 y1[1] (analytic) = 1.1150447016608868618499703963405 y1[1] (numeric) = 1.1150447051451678686369266303421 absolute error = 3.4842810067869562340016e-09 relative error = 3.1247904246323334586453504931771e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=457.7MB, alloc=4.5MB, time=31.26 NO POLE NO POLE x[1] = 0.1154 y2[1] (analytic) = 1.1151440371170583388870509067702 y2[1] (numeric) = 1.1151440371170583394363508684714 absolute error = 5.492999617012e-19 relative error = 4.9258207318337582676560936658031e-17 % h = 0.0001 y1[1] (analytic) = 1.1151440371170583388870509067702 y1[1] (numeric) = 1.1151440406470707814600974860475 absolute error = 3.5300124425730465792773e-09 relative error = 3.1655215156770783045857972319386e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=461.5MB, alloc=4.5MB, time=31.83 NO POLE NO POLE x[1] = 0.1155 y2[1] (analytic) = 1.1152433714217894457130816706517 y2[1] (numeric) = 1.1152433714217894462841565731443 absolute error = 5.710749024926e-19 relative error = 5.1206303227299543163786571018294e-17 % h = 0.0001 y1[1] (analytic) = 1.1152433714217894457130816706517 y1[1] (numeric) = 1.1152433749978312943183709635316 absolute error = 3.5760418486052892928799e-09 relative error = 3.2065125337138777295746637611160e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=465.4MB, alloc=4.5MB, time=32.41 x[1] = 0.1156 y2[1] (analytic) = 1.1153427045740868392815794055971 y2[1] (numeric) = 1.1153427045740868398751438542119 absolute error = 5.935644486148e-19 relative error = 5.3218122661362902651702625419101e-17 % h = 0.0001 y1[1] (analytic) = 1.1153427045740868392815794055971 y1[1] (numeric) = 1.1153427081964560602507147331384 absolute error = 3.6223692209691353275413e-09 relative error = 3.2477634059142391620518613667376e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1157 y2[1] (analytic) = 1.1154420365729571880703979521904 y2[1] (numeric) = 1.1154420365729571886871851912087 absolute error = 6.167872390183e-19 relative error = 5.5295319594848180144684640656839e-17 % h = 0.0001 y1[1] (analytic) = 1.1154420365729571880703979521904 y1[1] (numeric) = 1.1154420402419517438144738935871 absolute error = 3.6689945557440759413967e-09 relative error = 3.2892740594720268597522216455146e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=469.2MB, alloc=4.5MB, time=32.97 NO POLE NO POLE x[1] = 0.1158 y2[1] (analytic) = 1.1155413674174071720916615892004 y2[1] (numeric) = 1.1155413674174071727324238640958 absolute error = 6.407622748954e-19 relative error = 5.7439579885668468799857637133556e-17 % h = 0.0001 y1[1] (analytic) = 1.1155413674174071720916615892004 y1[1] (numeric) = 1.1155413711333250210953043609538 absolute error = 3.7159178490036427717534e-09 relative error = 3.3310444216034535809555486524228e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=473.0MB, alloc=4.5MB, time=33.52 NO POLE NO POLE x[1] = 0.1159 y2[1] (analytic) = 1.1156406971064434829016982334512 y2[1] (numeric) = 1.1156406971064434835672071577942 absolute error = 6.655089243430e-19 relative error = 5.9652621679101732503631553494057e-17 % h = 0.0001 y1[1] (analytic) = 1.1156406971064434829016982334512 y1[1] (numeric) = 1.1156407008695825797171061423999 absolute error = 3.7631390968154079089487e-09 relative error = 3.3730744195470722592737090877317e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=476.8MB, alloc=4.5MB, time=34.07 NO POLE NO POLE x[1] = 0.116 y2[1] (analytic) = 1.1157400256390728236109725242508 y2[1] (numeric) = 1.1157400256390728243020194513055 absolute error = 6.910469270547e-19 relative error = 6.1936195813974012859708542636670e-17 % h = 0.0001 y1[1] (analytic) = 1.1157400256390728236109725242508 y1[1] (numeric) = 1.1157400294497311188519564945477 absolute error = 3.8106582952409839702969e-09 relative error = 3.4153639805637676819730495045430e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1161 y2[1] (analytic) = 1.1158393530143019088940187922782 y2[1] (numeric) = 1.115839353014301909611415191321 absolute error = 7.173963990428e-19 relative error = 6.4292086231305825293037020250385e-17 % h = 0.0001 y1[1] (analytic) = 1.1158393530143019088940187922782 y1[1] (numeric) = 1.1158393568727773492300429664042 absolute error = 3.8584754403360241741260e-09 relative error = 3.4579130319367481718309681565893e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=480.6MB, alloc=4.5MB, time=34.61 NO POLE NO POLE x[1] = 0.1162 y2[1] (analytic) = 1.1159386792311374649993739128294 y2[1] (numeric) = 1.1159386792311374657439517502201 absolute error = 7.445778373907e-19 relative error = 6.6722110385465024773189365528812e-17 % h = 0.0001 y1[1] (analytic) = 1.1159386792311374649993739128294 y1[1] (numeric) = 1.1159386831377279931495963267336 absolute error = 3.9065905281502224139042e-09 relative error = 3.5007215009715372725250215961868e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=484.4MB, alloc=4.5MB, time=35.16 NO POLE NO POLE x[1] = 0.1163 y2[1] (analytic) = 1.1160380042885862297595100433243 y2[1] (numeric) = 1.1160380042885862305321221683584 absolute error = 7.726121250341e-19 relative error = 6.9228119657681225302296741630893e-17 % h = 0.0001 y1[1] (analytic) = 1.1160380042885862297595100433243 y1[1] (numeric) = 1.1160380082435897844868233757791 absolute error = 3.9550035547273133324548e-09 relative error = 3.5437893149959654375516029541928e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=488.2MB, alloc=4.5MB, time=35.70 NO POLE NO POLE x[1] = 0.1164 y2[1] (analytic) = 1.1161373281856549526007672449734 y2[1] (numeric) = 1.1161373281856549534022877805461 absolute error = 8.015205355727e-19 relative error = 7.1811999772072623115557648436491e-17 % h = 0.0001 y1[1] (analytic) = 1.1161373281856549526007672449734 y1[1] (numeric) = 1.1161373321893694687058396412348 absolute error = 4.0037145161050723962614e-09 relative error = 3.5871164013601617226741872778048e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=492.1MB, alloc=4.5MB, time=36.23 x[1] = 0.1165 y2[1] (analytic) = 1.1162366509213503945532859885059 y2[1] (numeric) = 1.1162366509213503953846107266176 absolute error = 8.313247381117e-19 relative error = 7.4475671214120958080214308983486e-17 % h = 0.0001 y1[1] (analytic) = 1.1162366509213503945532859885059 y1[1] (numeric) = 1.1162366549740738028686019583682 absolute error = 4.0527234083153159698623e-09 relative error = 3.6307026874365454818984514124891e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1166 y2[1] (analytic) = 1.1163359724946793282609395438606 y2[1] (numeric) = 1.1163359724946793291229863459932 absolute error = 8.620468021326e-19 relative error = 7.7221089651548309368278864574714e-17 % h = 0.0001 y1[1] (analytic) = 1.1163359724946793282609395438606 y1[1] (numeric) = 1.1163359765967095556448409341943 absolute error = 4.1020302273839013903337e-09 relative error = 3.6745481006198180669722045917180e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=495.9MB, alloc=4.5MB, time=36.77 NO POLE NO POLE x[1] = 0.1167 y2[1] (analytic) = 1.1164352929046485379912662537385 y2[1] (numeric) = 1.1164352929046485388849754561325 absolute error = 8.937092023940e-19 relative error = 8.0050246357656939482261514831865e-17 % h = 0.0001 y1[1] (analytic) = 1.1164352929046485379912662537385 y1[1] (numeric) = 1.1164352970562835073219932956013 absolute error = 4.1516349693307270418628e-09 relative error = 3.7186525683269545304094106387664e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=499.7MB, alloc=4.5MB, time=37.31 NO POLE NO POLE x[1] = 0.1168 y2[1] (analytic) = 1.116534612150264819645401690919 y2[1] (numeric) = 1.1165346121502648205717365147819 absolute error = 9.263348238629e-19 relative error = 8.2965168637175444676572637238242e-17 % h = 0.0001 y1[1] (analytic) = 1.116534612150264819645401690919 y1[1] (numeric) = 1.1165346163518024498151341213298 absolute error = 4.2015376301697324304108e-09 relative error = 3.7630160179971953320365977153901e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=503.5MB, alloc=4.5MB, time=37.87 NO POLE NO POLE x[1] = 0.1169 y2[1] (analytic) = 1.1166339302305349807680106992406 y2[1] (numeric) = 1.1166339302305349817279576659152 absolute error = 9.599469666746e-19 relative error = 8.5967920254439507455659090254071e-17 % h = 0.0001 y1[1] (analytic) = 1.1166339302305349807680106992406 y1[1] (numeric) = 1.1166339344822731866769089577046 absolute error = 4.2517382059088982584640e-09 relative error = 3.8076383770920380490583404874284e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.117 y2[1] (analytic) = 1.1167332471444658405572193181459 y2[1] (numeric) = 1.1167332471444658415517886692689 absolute error = 9.945693511230e-19 relative error = 8.9060601864066992617419322029813e-17 % h = 0.0001 y1[1] (analytic) = 1.1167332471444658405572193181459 y1[1] (numeric) = 1.116733251446702533107465818021 absolute error = 4.3022366925502464998751e-09 relative error = 3.8525195730952290896419939755842e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=507.3MB, alloc=4.5MB, time=38.42 NO POLE NO POLE x[1] = 0.1171 y2[1] (analytic) = 1.116832562891064229874546590692 y2[1] (numeric) = 1.1168325628910642309047727133729 absolute error = 1.0302261226809e-18 relative error = 9.2245351444090029097812984434416e-17 % h = 0.0001 y1[1] (analytic) = 1.116832562891064229874546590692 y1[1] (numeric) = 1.1168325672440973159643870654861 absolute error = 4.3530330860898404747941e-09 relative error = 3.8976595335127554100194403914539e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=511.1MB, alloc=4.5MB, time=38.98 NO POLE NO POLE x[1] = 0.1172 y2[1] (analytic) = 1.116931877469336991254836254927 y2[1] (numeric) = 1.1169318774693369923217781119767 absolute error = 1.0669418570497e-18 relative error = 9.5524344731488840345930299253366e-17 % h = 0.0001 y1[1] (analytic) = 1.116931877469336991254836254927 y1[1] (numeric) = 1.1169318818734643737726211796149 absolute error = 4.4041273825177849246879e-09 relative error = 3.9430581858728362351033429693526e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=514.9MB, alloc=4.5MB, time=39.54 NO POLE NO POLE x[1] = 0.1173 y2[1] (analytic) = 1.1170311908782909789161883185333 y2[1] (numeric) = 1.1170311908782909800209298837724 absolute error = 1.1047415652391e-18 relative error = 9.8899795660179552958597250348223e-17 % h = 0.0001 y1[1] (analytic) = 1.1170311908782909789161883185333 y1[1] (numeric) = 1.1170311953338105567344144059832 absolute error = 4.4555195778182260874499e-09 relative error = 3.9887154577259147826173718043707e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=518.8MB, alloc=4.5MB, time=40.11 x[1] = 0.1174 y2[1] (analytic) = 1.1171305031169330587698905166383 y2[1] (numeric) = 1.1171305031169330599135412153149 absolute error = 1.1436506986766e-18 relative error = 1.0237395680143656420491759257096e-16 % h = 0.0001 y1[1] (analytic) = 1.1171305031169330587698905166383 y1[1] (numeric) = 1.1171305076241427267392422892369 absolute error = 4.5072096679693517725986e-09 relative error = 4.0346312766446499907378079526152e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1175 y2[1] (analytic) = 1.1172298141842701084303496526936 y2[1] (numeric) = 1.1172298141842701096140448070398 absolute error = 1.1836951543462e-18 relative error = 1.0594911980669426013466585009161e-16 % h = 0.0001 y1[1] (analytic) = 1.1172298141842701084303496526936 y1[1] (numeric) = 1.117229818743467757373741089259 absolute error = 4.5591976489433914365654e-09 relative error = 4.0808055702239082492450076908470e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=522.6MB, alloc=4.5MB, time=40.68 NO POLE NO POLE x[1] = 0.1176 y2[1] (analytic) = 1.1173291240793090172250228223219 y2[1] (numeric) = 1.1173291240793090184499241022804 absolute error = 1.2249012799585e-18 relative error = 1.0962761585292351291648807329465e-16 % h = 0.0001 y1[1] (analytic) = 1.1173291240793090172250228223219 y1[1] (numeric) = 1.1173291286907925339316390803947 absolute error = 4.6114835167066162580728e-09 relative error = 4.1272382660807551341841046154112e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=526.4MB, alloc=4.5MB, time=41.24 NO POLE NO POLE x[1] = 0.1177 y2[1] (analytic) = 1.117428432801056686204348520035 y2[1] (numeric) = 1.1174284328010566874716443991833 absolute error = 1.2672958791483e-18 relative error = 1.1341181609023235093980628122558e-16 % h = 0.0001 y1[1] (analytic) = 1.117428432801056686204348520035 y1[1] (numeric) = 1.1174284374651239534236877336353 absolute error = 4.6640672672193392136003e-09 relative error = 4.1739292918544471460308372584144e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=530.2MB, alloc=4.5MB, time=41.79 NO POLE NO POLE x[1] = 0.1178 y2[1] (analytic) = 1.1175277403485200281516776287206 y2[1] (numeric) = 1.1175277403485200294625838454245 absolute error = 1.3109062167039e-18 relative error = 1.1730413209206525878361221246826e-16 % h = 0.0001 y1[1] (analytic) = 1.1175277403485200281516776287206 y1[1] (numeric) = 1.1175277450654689245875927816618 absolute error = 4.7169488964359151529412e-09 relative error = 4.2208785752064234513636720458912e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1179 y2[1] (analytic) = 1.1176270467207059675932042918006 y2[1] (numeric) = 1.117627046720705968948964315626 absolute error = 1.3557600238254e-18 relative error = 1.2130701630775791858930435813908e-16 % h = 0.0001 y1[1] (analytic) = 1.1176270467207059675932042918006 y1[1] (numeric) = 1.1176270514908343678979451666489 absolute error = 4.7701284003047408748483e-09 relative error = 4.2680860438202976280387375886643e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=534.0MB, alloc=4.5MB, time=42.35 NO POLE NO POLE x[1] = 0.118 y2[1] (analytic) = 1.117726351916621440807896667961 y2[1] (numeric) = 1.1177263519166214422097821713735 absolute error = 1.4018855034125e-18 relative error = 1.2542296251749067280138131127102e-16 % h = 0.0001 y1[1] (analytic) = 1.117726351916621440807896667961 y1[1] (numeric) = 1.1177263567402272155761518707295 absolute error = 4.8236057747682552027685e-09 relative error = 4.3155516254018494138658778324027e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=537.8MB, alloc=4.5MB, time=42.90 NO POLE NO POLE x[1] = 0.1181 y2[1] (analytic) = 1.117825655935273395837427568354 y2[1] (numeric) = 1.1178256559352733972867389037369 absolute error = 1.4493113353829e-18 relative error = 1.2965450628973763320611206781052e-16 % h = 0.0001 y1[1] (analytic) = 1.117825655935273395837427568354 y1[1] (numeric) = 1.117825660812654411600366629021 absolute error = 4.8773810157629390606670e-09 relative error = 4.3632752476790164587847587248375e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=541.6MB, alloc=4.5MB, time=43.47 NO POLE NO POLE x[1] = 0.1182 y2[1] (analytic) = 1.1179249587756687924961049761727 y2[1] (numeric) = 1.1179249587756687939941716581925 absolute error = 1.4980666820198e-18 relative error = 1.3400422544107571866442306143911e-16 % h = 0.0001 y1[1] (analytic) = 1.1179249587756687924961049761727 y1[1] (numeric) = 1.1179249637071229117154205251144 absolute error = 4.9314541192193155489417e-09 relative error = 4.4112568384018860805398740768421e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=545.5MB, alloc=4.5MB, time=44.01 x[1] = 0.1183 y2[1] (analytic) = 1.1180242604368146023808024485 y2[1] (numeric) = 1.1180242604368146039289836418495 absolute error = 1.5481811933495e-18 relative error = 1.3847474049844160920925671739521e-16 % h = 0.0001 y1[1] (analytic) = 1.1180242604368146023808024485 y1[1] (numeric) = 1.1180242654226396834427524689257 absolute error = 4.9858250810619500204257e-09 relative error = 4.4594963253426870238508818532245e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1184 y2[1] (analytic) = 1.1181235609177178088808894003315 y2[1] (numeric) = 1.1181235609177178104805744128801 absolute error = 1.5996850125486e-18 relative error = 1.4306871516379038842583927759785e-16 % h = 0.0001 y1[1] (analytic) = 1.1181235609177178088808894003315 y1[1] (numeric) = 1.1181235659582117060903395568115 absolute error = 5.0404938972094501564800e-09 relative error = 4.5079936362957812230784606714969e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=549.3MB, alloc=4.5MB, time=44.57 NO POLE NO POLE x[1] = 0.1185 y2[1] (analytic) = 1.1182228602173854071881612706737 y2[1] (numeric) = 1.1182228602173854088407700520548 absolute error = 1.6526087813811e-18 relative error = 1.4778885678118122105887736120508e-16 % h = 0.0001 y1[1] (analytic) = 1.1182228602173854071881612706737 y1[1] (numeric) = 1.1182228653128459707626273138485 absolute error = 5.0954605635744660431748e-09 relative error = 4.5567486990776555683825670441956e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=553.1MB, alloc=4.5MB, time=45.14 NO POLE NO POLE x[1] = 0.1186 y2[1] (analytic) = 1.1183221583348244043067695706174 y2[1] (numeric) = 1.118322158334824406013753216283 absolute error = 1.7069836456656e-18 relative error = 1.5263791680630645291274125882386e-16 % h = 0.0001 y1[1] (analytic) = 1.1183221583348244043067695706174 y1[1] (numeric) = 1.118322163485549480370459818179 absolute error = 5.1507250760636902475616e-09 relative error = 4.6057614415269136753733737777735e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=556.9MB, alloc=4.5MB, time=45.70 NO POLE NO POLE x[1] = 0.1187 y2[1] (analytic) = 1.1184214552690418190631518132883 y2[1] (numeric) = 1.1184214552690418208259930740598 absolute error = 1.7628412607715e-18 relative error = 1.5761869127836427331422709018093e-16 % h = 0.0001 y1[1] (analytic) = 1.1184214552690418190631518132883 y1[1] (numeric) = 1.1184214604753292496410097073213 absolute error = 5.2062874305778578940330e-09 relative error = 4.6550317915042676582504306343205e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1188 y2[1] (analytic) = 1.118520751019044682115961325574 y2[1] (numeric) = 1.1185207510190446839361751227199 absolute error = 1.8202137971459e-18 relative error = 1.6273402129442548204900991192821e-16 % h = 0.0001 y1[1] (analytic) = 1.118520751019044682115961325574 y1[1] (numeric) = 1.1185207562811923051277080663469 absolute error = 5.2621476230117467407729e-09 relative error = 4.7045596768925299064307766636885e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=560.7MB, alloc=4.5MB, time=46.26 NO POLE NO POLE x[1] = 0.1189 y2[1] (analytic) = 1.1186200455838400359659969415297 y2[1] (numeric) = 1.1186200455838400378451308873989 absolute error = 1.8791339458692e-18 relative error = 1.6798679348611403119390255811909e-16 % h = 0.0001 y1[1] (analytic) = 1.1186200455838400359659969415297 y1[1] (numeric) = 1.1186200509021456852201741978252 absolute error = 5.3183056492541772562955e-09 relative error = 4.7543450255966048646628887883292e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=564.5MB, alloc=4.5MB, time=46.82 NO POLE NO POLE x[1] = 0.119 y2[1] (analytic) = 1.1187193389624349349661325773612 y2[1] (numeric) = 1.1187193389624349369057675016032 absolute error = 1.9396349242420e-18 relative error = 1.7337994049883232486106749999561e-16 % h = 0.0001 y1[1] (analytic) = 1.1187193389624349349661325773612 y1[1] (numeric) = 1.1187193443371964401541452734358 absolute error = 5.3747615051880126960746e-09 relative error = 4.8043877655434808166261241758860e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=568.4MB, alloc=4.5MB, time=47.39 NO POLE NO POLE x[1] = 0.1191 y2[1] (analytic) = 1.1188186311538364453312466878885 y2[1] (numeric) = 1.1188186311538364473329971692887 absolute error = 2.0017504814002e-18 relative error = 1.7891644147325263001670444489096e-16 % h = 0.0001 y1[1] (analytic) = 1.1188186311538364453312466878885 y1[1] (numeric) = 1.1188186365853516320214058671493 absolute error = 5.4315151866901591792608e-09 relative error = 4.8546878246822216720118280731572e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=572.2MB, alloc=4.5MB, time=47.94 x[1] = 0.1192 y2[1] (analytic) = 1.1189179221570516451481516043887 y2[1] (numeric) = 1.1189179221570516472136665083494 absolute error = 2.0655149039607e-18 relative error = 1.8459932252928769578108618488778e-16 % h = 0.0001 y1[1] (analytic) = 1.1189179221570516451481516043887 y1[1] (numeric) = 1.1189179276456183347797173698779 absolute error = 5.4885666896315657654892e-09 relative error = 4.9052451309839587570867498112272e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1193 y2[1] (analytic) = 1.119017211971087624385522753719 y2[1] (numeric) = 1.1190172119710876265164857754162 absolute error = 2.1309630216972e-18 relative error = 1.9043165725249437146581754928936e-16 % h = 0.0001 y1[1] (analytic) = 1.119017211971087624385522753719 y1[1] (numeric) = 1.1190172175170036342627472854954 absolute error = 5.5459160098772245317764e-09 relative error = 4.9560596124418826087360131139319e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=576.0MB, alloc=4.5MB, time=48.49 NO POLE NO POLE x[1] = 0.1194 y2[1] (analytic) = 1.1191165005949514849038277586227 y2[1] (numeric) = 1.1191165005949514871019579718673 absolute error = 2.1981302132446e-18 relative error = 1.9641656718277469029801254212263e-16 % h = 0.0001 y1[1] (analytic) = 1.1191165005949514849038277586227 y1[1] (numeric) = 1.1191165061985146281899984081286 absolute error = 5.6035631432861706495059e-09 relative error = 5.0071311970712347719831565808542e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=579.8MB, alloc=4.5MB, time=49.05 NO POLE NO POLE x[1] = 0.1195 y2[1] (analytic) = 1.1192157880276503404652554191151 y2[1] (numeric) = 1.11921578802765034273230783095 absolute error = 2.2670524118349e-18 relative error = 2.0255722230563211447438306040163e-16 % h = 0.0001 y1[1] (analytic) = 1.1192157880276503404652554191151 y1[1] (numeric) = 1.1192157936891584261767378806194 absolute error = 5.6615080857114824615043e-09 relative error = 5.0584598129092996009877101881436e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=583.6MB, alloc=4.5MB, time=49.62 NO POLE NO POLE x[1] = 0.1196 y2[1] (analytic) = 1.1193150742681913167436445748542 y2[1] (numeric) = 1.1193150742681913190814106859151 absolute error = 2.3377661110609e-18 relative error = 2.0885684154565080810745266400352e-16 % h = 0.0001 y1[1] (analytic) = 1.1193150742681913167436445748542 y1[1] (numeric) = 1.1193150799879421497439261340597 absolute error = 5.7197508330002815592055e-09 relative error = 5.1100453880153960635161273378938e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1197 y2[1] (analytic) = 1.1194143593155815513344128483937 y2[1] (numeric) = 1.1194143593155815537447212190651 absolute error = 2.4103083706714e-18 relative error = 2.1531869326252710034150375765223e-16 % h = 0.0001 y1[1] (analytic) = 1.1194143593155815513344128483937 y1[1] (numeric) = 1.1194143650938729323281457082987 absolute error = 5.7782913809937328599050e-09 relative error = 5.1618878504708695488862719584598e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=587.4MB, alloc=4.5MB, time=50.17 NO POLE NO POLE x[1] = 0.1198 y2[1] (analytic) = 1.1195136431688281937644852692205 y2[1] (numeric) = 1.1195136431688281962492020916158 absolute error = 2.4847168223953e-18 relative error = 2.2194609574941932310292178736746e-16 % h = 0.0001 y1[1] (analytic) = 1.1195136431688281937644852692205 y1[1] (numeric) = 1.1195136490059579192915299533241 absolute error = 5.8371297255270446841036e-09 relative error = 5.2139871283790836793831586471009e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=591.2MB, alloc=4.5MB, time=50.72 NO POLE NO POLE x[1] = 0.1199 y2[1] (analytic) = 1.1196129258269384055022227784774 y2[1] (numeric) = 1.1196129258269384080632524542728 absolute error = 2.5610296757954e-18 relative error = 2.2874241773368605030044851456493e-16 % h = 0.0001 y1[1] (analytic) = 1.1196129258269384055022227784774 y1[1] (numeric) = 1.1196129317232042679316916114173 absolute error = 5.8962658624294688329399e-09 relative error = 5.2663431498654121251437345129123e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=595.1MB, alloc=4.5MB, time=51.27 NO POLE NO POLE x[1] = 0.12 y2[1] (analytic) = 1.119712207288919359967350614271 y2[1] (numeric) = 1.1197122072889193626066363384236 absolute error = 2.6392857241526e-18 relative error = 2.3571107888007378484599783171290e-16 % h = 0.0001 y1[1] (analytic) = 1.119712207288919359967350614271 y1[1] (numeric) = 1.1197122132446191474916512799838 absolute error = 5.9556997875243006657128e-09 relative error = 5.3189558430772304225101002196647e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=598.9MB, alloc=4.5MB, time=51.84 x[1] = 0.1201 y2[1] (analytic) = 1.1198114875537782425408865774662 y2[1] (numeric) = 1.1198114875537782452604109278455 absolute error = 2.7195243503793e-18 relative error = 2.4285555029624542524954945544897e-16 % h = 0.0001 y1[1] (analytic) = 1.1198114875537782425408865774662 y1[1] (numeric) = 1.1198114935692097391697657549591 absolute error = 6.0154314966288791774929e-09 relative error = 5.3718251361839077958485139556954e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1202 y2[1] (analytic) = 1.1199107666205222505750691778678 y2[1] (numeric) = 1.1199107666205222533768547108307 absolute error = 2.8017855329629e-18 relative error = 2.5017935504072843564636998359829e-16 % h = 0.0001 y1[1] (analytic) = 1.1199107666205222505750691778678 y1[1] (numeric) = 1.1199107726959832361296562546912 absolute error = 6.0754609855545870768234e-09 relative error = 5.4249509573767989828330416374825e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=602.7MB, alloc=4.5MB, time=52.40 NO POLE NO POLE x[1] = 0.1203 y2[1] (analytic) = 1.1200100444881585934032856606901 y2[1] (numeric) = 1.1200100444881585962893955126288 absolute error = 2.8861098519387e-18 relative error = 2.5768606863321873138164947973280e-16 % h = 0.0001 y1[1] (analytic) = 1.1200100444881585934032856606901 y1[1] (numeric) = 1.1200100506239468435101365242002 absolute error = 6.1357882501068508635101e-09 relative error = 5.4783332348692360631918243282313e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=606.5MB, alloc=4.5MB, time=52.95 NO POLE NO POLE x[1] = 0.1204 y2[1] (analytic) = 1.1201093211556944923499999132141 y2[1] (numeric) = 1.1201093211556944953225384081074 absolute error = 2.9725384948933e-18 relative error = 2.6537931956733703634609345556542e-16 % h = 0.0001 y1[1] (analytic) = 1.1201093211556944923499999132141 y1[1] (numeric) = 1.1201093273521077784351408197157 absolute error = 6.1964132860851409065016e-09 relative error = 5.5319718968965202909152741644953e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=610.3MB, alloc=4.5MB, time=53.51 NO POLE NO POLE x[1] = 0.1205 y2[1] (analytic) = 1.1202085966221371807406802515352 y2[1] (numeric) = 1.1202085966221371838017935145323 absolute error = 3.0611132629971e-18 relative error = 2.7326278982571122703337921343338e-16 % h = 0.0001 y1[1] (analytic) = 1.1202085966221371807406802515352 y1[1] (numeric) = 1.1202086028794732700236517733929 absolute error = 6.2573360892829715218577e-09 relative error = 5.5858668717159139299227429486092e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1206 y2[1] (analytic) = 1.1203078708864939039117270873002 y2[1] (numeric) = 1.1203078708864939070636036643667 absolute error = 3.1518765770665e-18 relative error = 2.8134021539743679041097878599037e-16 % h = 0.0001 y1[1] (analytic) = 1.1203078708864939039117270873002 y1[1] (numeric) = 1.1203078772050505593996281381079 absolute error = 6.3185566554879010508077e-09 relative error = 5.6400180876066320931875123966514e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=614.1MB, alloc=4.5MB, time=54.06 NO POLE NO POLE x[1] = 0.1207 y2[1] (analytic) = 1.1204071439477719192204004743344 y2[1] (numeric) = 1.1204071439477719224652719579913 absolute error = 3.2448714836569e-18 relative error = 2.8961538679801211247605320394544e-16 % h = 0.0001 y1[1] (analytic) = 1.1204071439477719192204004743344 y1[1] (numeric) = 1.1204071503278468997019324122329 absolute error = 6.3800749804815319378985e-09 relative error = 5.6944254728698345853183482984791e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=617.9MB, alloc=4.5MB, time=54.63 NO POLE NO POLE x[1] = 0.1208 y2[1] (analytic) = 1.1205064158049784960547475350616 y2[1] (numeric) = 1.1205064158049784993948891962455 absolute error = 3.3401416611839e-18 relative error = 2.9809214959151503807864892935461e-16 % h = 0.0001 y1[1] (analytic) = 1.1205064158049784960547475350616 y1[1] (numeric) = 1.1205064222468695560942583442925 absolute error = 6.4418910600395108092309e-09 relative error = 5.7490889558286177485945231306828e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=621.8MB, alloc=4.5MB, time=55.19 NO POLE NO POLE x[1] = 0.1209 y2[1] (analytic) = 1.1206056864571209158435297666148 y2[1] (numeric) = 1.1206056864571209192812611926906 absolute error = 3.4377314260758e-18 relative error = 3.0677440491529596171241100618922e-16 % h = 0.0001 y1[1] (analytic) = 1.1206056864571209158435297666148 y1[1] (numeric) = 1.1206056929611258057750583174011 absolute error = 6.5040048899315285507863e-09 relative error = 5.8040084648280063124546045994793e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=625.6MB, alloc=4.5MB, time=55.74 x[1] = 0.121 y2[1] (analytic) = 1.1207049559032064720661502265403 y2[1] (numeric) = 1.1207049559032064756038359654953 absolute error = 3.5376857389550e-18 relative error = 3.1566611000697175148097544036749e-16 % h = 0.0001 y1[1] (analytic) = 1.1207049559032064720661502265403 y1[1] (numeric) = 1.1207049624696229379874706133826 absolute error = 6.5664164659213203868423e-09 relative error = 5.8591839282349452464360056056496e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1211 y2[1] (analytic) = 1.1208042241422424702625805979957 y2[1] (numeric) = 1.120804224142242473902630808845 absolute error = 3.6400502108493e-18 relative error = 3.2477127873380831498594173409192e-16 % h = 0.0001 y1[1] (analytic) = 1.1208042241422424702625805979957 y1[1] (numeric) = 1.1208042307713682540292465564734 absolute error = 6.6291257837666659584777e-09 relative error = 5.9146152744382916165640774050144e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=629.4MB, alloc=4.5MB, time=56.30 NO POLE NO POLE x[1] = 0.1212 y2[1] (analytic) = 1.1209034911732362280432881343418 y2[1] (numeric) = 1.1209034911732362317881592437748 absolute error = 3.7448711094330e-18 relative error = 3.3409398212448141864587439972270e-16 % h = 0.0001 y1[1] (analytic) = 1.1209034911732362280432881343418 y1[1] (numeric) = 1.1209034978653690672626775365083 absolute error = 6.6921328392193894021665e-09 relative error = 5.9703024318488064451887253970577e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=633.2MB, alloc=4.5MB, time=56.86 NO POLE NO POLE x[1] = 0.1213 y2[1] (analytic) = 1.1210027569951950750991624830295 y2[1] (numeric) = 1.1210027569951950789513578483275 absolute error = 3.8521953652980e-18 relative error = 3.4363834890323214116727442692141e-16 % h = 0.0001 y1[1] (analytic) = 1.1210027569951950750991624830295 y1[1] (numeric) = 1.1210027637506327031245219114914 absolute error = 6.7554376280253594284619e-09 relative error = 6.0262453288991465742677770075233e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=637.0MB, alloc=4.5MB, time=57.42 NO POLE NO POLE x[1] = 0.1214 y2[1] (analytic) = 1.1211020216071263532114423886827 y2[1] (numeric) = 1.1211020216071263571735129669373 absolute error = 3.9620705782546e-18 relative error = 3.5340856602638873140940788327913e-16 % h = 0.0001 y1[1] (analytic) = 1.1211020216071263532114423886827 y1[1] (numeric) = 1.1211020284261664991359317894521 absolute error = 6.8190401459244894007694e-09 relative error = 6.0824438940438565320946366357759e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1215 y2[1] (analytic) = 1.1212012850080374162616422752778 y2[1] (numeric) = 1.1212012850080374203361872989395 absolute error = 4.0745450236617e-18 relative error = 3.6340887922122666097775843993956e-16 % h = 0.0001 y1[1] (analytic) = 1.1212012850080374162616422752778 y1[1] (numeric) = 1.1212012918909778049123796894865 absolute error = 6.8829403886507374142087e-09 relative error = 6.1388980557593604034682992443556e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=640.8MB, alloc=4.5MB, time=57.96 NO POLE NO POLE x[1] = 0.1216 y2[1] (analytic) = 1.1213005471969356302414787073201 y2[1] (numeric) = 1.1213005471969356344311463661072 absolute error = 4.1896676587871e-18 relative error = 3.7364359352722786411253261117338e-16 % h = 0.0001 y1[1] (analytic) = 1.1213005471969356302414787073201 y1[1] (numeric) = 1.1213005541440739821735850818857 absolute error = 6.9471383519321063745656e-09 relative error = 6.1956077425439537033051329868092e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=644.6MB, alloc=4.5MB, time=58.49 NO POLE NO POLE x[1] = 0.1217 y2[1] (analytic) = 1.1213998081728283732627967299185 y2[1] (numeric) = 1.1213998081728283775702848591162 absolute error = 4.3074881291977e-18 relative error = 3.8411707383971985751028026156017e-16 % h = 0.0001 y1[1] (analytic) = 1.1213998081728283732627967299185 y1[1] (numeric) = 1.1213998151844624047534408072513 absolute error = 7.0116340314906440773328e-09 relative error = 6.2525728829177952536897904002047e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=648.5MB, alloc=4.5MB, time=59.06 NO POLE NO POLE x[1] = 0.1218 y2[1] (analytic) = 1.1214990679347230355674960876586 y2[1] (numeric) = 1.1214990679347230399955528628378 absolute error = 4.4280567751792e-18 relative error = 3.9483374545585761321281304947182e-16 % h = 0.0001 y1[1] (analytic) = 1.1214990679347230355674960876586 y1[1] (numeric) = 1.1214990750111504586099393744992 absolute error = 7.0764274230424432868406e-09 relative error = 6.3097934054228990643644817731686e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=652.3MB, alloc=4.5MB, time=59.61 x[1] = 0.1219 y2[1] (analytic) = 1.1215983264816270195374573221756 y2[1] (numeric) = 1.1215983264816270240888819603613 absolute error = 4.5514246381857e-18 relative error = 4.0579809462298241086422047253127e-16 % h = 0.0001 y1[1] (analytic) = 1.1215983264816270195374573221756 y1[1] (numeric) = 1.1215983336231455418350991376517 absolute error = 7.1415185222976418154761e-09 relative error = 6.3672692386231262166537047606568e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.122 y2[1] (analytic) = 1.1216975838125477397044677483272 y2[1] (numeric) = 1.121697583812547744382111215646 absolute error = 4.6776434673188e-18 relative error = 4.1701466908932055103471325948087e-16 % h = 0.0001 y1[1] (analytic) = 1.1216975838125477397044677483272 y1[1] (numeric) = 1.1216975910194550646648903513197 absolute error = 7.2069073249604226029925e-09 relative error = 6.4250003111041767508242006129885e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=656.1MB, alloc=4.5MB, time=60.18 NO POLE NO POLE x[1] = 0.1221 y2[1] (analytic) = 1.1217968399264926227601473088672 y2[1] (numeric) = 1.1217968399264926275669130347045 absolute error = 4.8067657258373e-18 relative error = 4.2848807865711855173404525359533e-16 % h = 0.0001 y1[1] (analytic) = 1.1217968399264926227601473088672 y1[1] (numeric) = 1.1217968471990864494891611047745 absolute error = 7.2725938267290137959073e-09 relative error = 6.4829865514735815568774112752808e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=659.9MB, alloc=4.5MB, time=60.73 NO POLE NO POLE x[1] = 0.1222 y2[1] (analytic) = 1.1218960948224691075658743075216 y2[1] (numeric) = 1.1218960948224691125047189052168 absolute error = 4.9388445976952e-18 relative error = 4.4022299573800832358133212760536e-16 % h = 0.0001 y1[1] (analytic) = 1.1218960948224691075658743075216 y1[1] (numeric) = 1.1218961021610471308615631345113 absolute error = 7.3385780232956888269897e-09 relative error = 6.5412278883606942687730502867720e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=663.7MB, alloc=4.5MB, time=61.28 NO POLE NO POLE x[1] = 0.1223 y2[1] (analytic) = 1.1219953484994846451627110203659 y2[1] (numeric) = 1.1219953484994846502366450144771 absolute error = 5.0739339941112e-18 relative error = 4.5222415591088616345211844779444e-16 % h = 0.0001 y1[1] (analytic) = 1.1219953484994846451627110203659 y1[1] (numeric) = 1.1219953559043445555094775152037 absolute error = 7.4048599103467664948378e-09 relative error = 6.5997242504166831620826684940861e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1224 y2[1] (analytic) = 1.1220946009565466987813291854065 y2[1] (numeric) = 1.1220946009565467039934177455733 absolute error = 5.2120885601668e-18 relative error = 4.6449635848204557948861927261534e-16 % h = 0.0001 y1[1] (analytic) = 1.1220946009565466987813291854065 y1[1] (numeric) = 1.1220946084279861823439402289515 absolute error = 7.4714394835626110435450e-09 relative error = 6.6584755663145230550710266780977e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=667.5MB, alloc=4.5MB, time=61.84 NO POLE NO POLE x[1] = 0.1225 y2[1] (analytic) = 1.122193852192662743851935370266 y2[1] (numeric) = 1.1221938521926627492052990517001 absolute error = 5.3533636814341e-18 relative error = 4.7704446704766058907192582312313e-16 % h = 0.0001 y1[1] (analytic) = 1.122193852192662743851935370266 y1[1] (numeric) = 1.1221938597309794824695676127211 absolute error = 7.5383167386176322424551e-09 relative error = 6.7174817647489872132031775758880e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=671.4MB, alloc=4.5MB, time=62.39 NO POLE NO POLE x[1] = 0.1226 y2[1] (analytic) = 1.1222931022068402680141962178721 y2[1] (numeric) = 1.1222931022068402735120117085067 absolute error = 5.4978154906346e-18 relative error = 4.8987341005873388373585783483542e-16 % h = 0.0001 y1[1] (analytic) = 1.1222931022068402680141962178721 y1[1] (numeric) = 1.12229310981233193919448168388 absolute error = 7.6054916711802854660079e-09 relative error = 6.7767427744366392570772103615386e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=675.2MB, alloc=4.5MB, time=62.95 NO POLE NO POLE x[1] = 0.1227 y2[1] (analytic) = 1.1223923509980867711271635700536 y2[1] (numeric) = 1.1223923509980867767726644443795 absolute error = 5.6455008743259e-18 relative error = 5.0298818138823215440046014103355e-16 % h = 0.0001 y1[1] (analytic) = 1.1223923509980867711271635700536 y1[1] (numeric) = 1.1223923586710510480402353437262 absolute error = 7.6729642769130717736726e-09 relative error = 6.8362585241158250737786011125036e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=679.0MB, alloc=4.5MB, time=63.50 x[1] = 0.1228 y2[1] (analytic) = 1.1224915985654097652791994689409 y2[1] (numeric) = 1.122491598565409771075676948561 absolute error = 5.7964774796201e-18 relative error = 5.1639384090074577077118136191135e-16 % h = 0.0001 y1[1] (analytic) = 1.1224915985654097652791994689409 y1[1] (numeric) = 1.1224916063061443167517374589129 absolute error = 7.7407345514725379899720e-09 relative error = 6.8960289425466647316571933699051e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1229 y2[1] (analytic) = 1.1225908449078167747979010360744 y2[1] (numeric) = 1.122590844907816780748704757005 absolute error = 5.9508037209306e-18 relative error = 5.3009551502437730484085215209917e-16 % h = 0.0001 y1[1] (analytic) = 1.1225908449078167747979010360744 y1[1] (numeric) = 1.1225908527166192653071778206697 absolute error = 7.8088024905092767845953e-09 relative error = 6.9560539585110443985231997583231e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=682.8MB, alloc=4.5MB, time=64.04 NO POLE NO POLE x[1] = 0.123 y2[1] (analytic) = 1.1226900900243153362600252291201 y2[1] (numeric) = 1.1226900900243153423685640158693 absolute error = 6.1085387867492e-18 relative error = 5.4409839732502677075425254927813e-16 % h = 0.0001 y1[1] (analytic) = 1.1226900900243153362600252291201 y1[1] (numeric) = 1.1226900979014834259279519817202 absolute error = 7.8771680896679267526001e-09 relative error = 7.0163335008126082632611119163888e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=686.6MB, alloc=4.5MB, time=64.59 NO POLE NO POLE x[1] = 0.1231 y2[1] (analytic) = 1.1227893339139129985014134760941 y2[1] (numeric) = 1.122789333913913004771156122547 absolute error = 6.2697426464529e-18 relative error = 5.5840774908301867492814298170825e-16 % h = 0.0001 y1[1] (analytic) = 1.1227893339139129985014134760941 y1[1] (numeric) = 1.1227893418597443430885859707979 absolute error = 7.9458313445871724947038e-09 relative error = 7.0768674982767504608600502445718e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=690.4MB, alloc=4.6MB, time=65.12 NO POLE NO POLE x[1] = 0.1232 y2[1] (analytic) = 1.1228885765756173226269161869954 y2[1] (numeric) = 1.122888576575617329061392244136 absolute error = 6.4344760571406e-18 relative error = 5.7302889987208725406765728758938e-16 % h = 0.0001 y1[1] (analytic) = 1.1228885765756173226269161869954 y1[1] (numeric) = 1.1228885845904095735266608846602 absolute error = 8.0147922508997446976648e-09 relative error = 7.1376558797506070008592638510131e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1233 y2[1] (analytic) = 1.1229878180084358820203171427497 y2[1] (numeric) = 1.1229878180084358886231177132487 absolute error = 6.6028005704990e-18 relative error = 5.8796724814065612389650596461200e-16 % h = 0.0001 y1[1] (analytic) = 1.1229878180084358820203171427497 y1[1] (numeric) = 1.1229878260924866862527373575019 absolute error = 8.0840508042324202147522e-09 relative error = 7.1986985741030476992059778935438e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=694.2MB, alloc=4.6MB, time=65.68 NO POLE NO POLE x[1] = 0.1234 y2[1] (analytic) = 1.1230870582113762623542577613628 y2[1] (numeric) = 1.1230870582113762691290363010621 absolute error = 6.7747785396993e-18 relative error = 6.0322826179555339927637223349172e-16 % h = 0.0001 y1[1] (analytic) = 1.1230870582113762623542577613628 y1[1] (numeric) = 1.1230870663649832625602799076685 absolute error = 8.1536070002060221463057e-09 relative error = 7.2599955102246681135254584306823e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=698.1MB, alloc=4.6MB, time=66.20 NO POLE NO POLE x[1] = 0.1235 y2[1] (analytic) = 1.1231862971834460616001612411863 y2[1] (numeric) = 1.1231862971834460685506343675088 absolute error = 6.9504731263225e-18 relative error = 6.1881747878796492356691074769079e-16 % h = 0.0001 y1[1] (analytic) = 1.1231862971834460616001612411863 y1[1] (numeric) = 1.1231863054069068960355811615701 absolute error = 8.2234608344354199203838e-09 relative error = 7.3215466170277814817999595435915e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=701.9MB, alloc=4.6MB, time=66.70 NO POLE NO POLE x[1] = 0.1236 y2[1] (analytic) = 1.1232855349236528900381565811946 y2[1] (numeric) = 1.1232855349236528971681048885101 absolute error = 7.1299483073155e-18 relative error = 6.3474050770182009273247445325683e-16 % h = 0.0001 y1[1] (analytic) = 1.1232855349236528900381565811946 y1[1] (numeric) = 1.1232855432172651925676859546971 absolute error = 8.2936123025295293735025e-09 relative error = 7.3833518234464106644568695801507e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=705.7MB, alloc=4.6MB, time=67.23 x[1] = 0.1237 y2[1] (analytic) = 1.1233847714310043702670024781761 y2[1] (numeric) = 1.123384771431004377580271360152 absolute error = 7.3132688819759e-18 relative error = 6.5100302834442185056690687096209e-16 % h = 0.0001 y1[1] (analytic) = 1.1233847714310043702670024781761 y1[1] (numeric) = 1.123384779795065770358315309638 absolute error = 8.3640614000913128314619e-09 relative error = 7.4454110584362800898621000721072e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1238 y2[1] (analytic) = 1.1234840067045081372140111007365 y2[1] (numeric) = 1.1234840067045081447145115797044 absolute error = 7.5005004789679e-18 relative error = 6.6761079233953310440354016097554e-16 % h = 0.0001 y1[1] (analytic) = 1.1234840067045081372140111007365 y1[1] (numeric) = 1.1234840151393162599317902910002 absolute error = 8.4348081227177791902637e-09 relative error = 7.5077242509748077032197478920712e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=709.5MB, alloc=4.6MB, time=67.74 NO POLE NO POLE x[1] = 0.1239 y2[1] (analytic) = 1.123583240743171838144971740018 y2[1] (numeric) = 1.1235832407431718458366813033846 absolute error = 7.6917095633666e-18 relative error = 6.8456962372267775585528128773510e-16 % h = 0.0001 y1[1] (analytic) = 1.123583240743171838144971740018 y1[1] (numeric) = 1.1235832492490243041449557371346 absolute error = 8.5058524659999839971166e-09 relative error = 7.5702913300610969188737201561874e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=713.3MB, alloc=4.6MB, time=68.27 NO POLE NO POLE x[1] = 0.124 y2[1] (analytic) = 1.1236824735460031326740743370329 y2[1] (numeric) = 1.1236824735460031405610377807657 absolute error = 7.8869634437328e-18 relative error = 7.0188541953884187900253507786372e-16 % h = 0.0001 y1[1] (analytic) = 1.1236824735460031326740743370329 y1[1] (numeric) = 1.1236824821231975581971038685647 absolute error = 8.5771944255230295315318e-09 relative error = 7.6331122247159285760116417912983e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=717.1MB, alloc=4.6MB, time=68.80 NO POLE NO POLE x[1] = 0.1241 y2[1] (analytic) = 1.1237817051120096927738328865136 y2[1] (numeric) = 1.1237817051120097008601631657311 absolute error = 8.0863302792175e-18 relative error = 7.1956415044250239024657483633851e-16 % h = 0.0001 y1[1] (analytic) = 1.1237817051120096927738328865136 y1[1] (numeric) = 1.123781713760843689639897773021 absolute error = 8.6488339968660648865074e-09 relative error = 7.6961868639817528977683396867524e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1242 y2[1] (analytic) = 1.1238809354401992027850087171788 y2[1] (numeric) = 1.1238809354401992110748878038752 absolute error = 8.2898790866964e-18 relative error = 7.3761186130000848060561668236608e-16 % h = 0.0001 y1[1] (analytic) = 1.1238809354401992027850087171788 y1[1] (numeric) = 1.1238809441609703783872947669816 absolute error = 8.7207711756022860498028e-09 relative error = 7.7595151769226814537282454688166e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=720.9MB, alloc=4.6MB, time=69.31 NO POLE NO POLE x[1] = 0.1243 y2[1] (analytic) = 1.1239801645295793594265336483182 y2[1] (numeric) = 1.1239801645295793679242133962514 absolute error = 8.4976797479332e-18 relative error = 7.5603467179420760917180556898728e-16 % h = 0.0001 y1[1] (analytic) = 1.1239801645295793594265336483182 y1[1] (numeric) = 1.1239801733225853167254696336194 absolute error = 8.7930059572989359853012e-09 relative error = 7.8230970926244791258233900405140e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=724.8MB, alloc=4.6MB, time=69.81 NO POLE NO POLE x[1] = 0.1244 y2[1] (analytic) = 1.1240793923791578718054330225943 y2[1] (numeric) = 1.1240793923791578805152360393683 absolute error = 8.7098030167740e-18 relative error = 7.7483877703151929886853108017643e-16 % h = 0.0001 y1[1] (analytic) = 1.1240793923791578718054330225943 y1[1] (numeric) = 1.1240794012446962093227377370569 absolute error = 8.8655383375173047144626e-09 relative error = 7.8869325401945560776274904584056e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=728.6MB, alloc=4.6MB, time=70.34 NO POLE NO POLE x[1] = 0.1245 y2[1] (analytic) = 1.1241786189879424614267486149644 y2[1] (numeric) = 1.1241786189879424703530691413345 absolute error = 8.9263205263701e-18 relative error = 7.9403044815121506305477898395440e-16 % h = 0.0001 y1[1] (analytic) = 1.1241786189879424614267486149644 y1[1] (numeric) = 1.1241786279263107732394780128298 absolute error = 8.9383683118127293978654e-09 relative error = 7.9510214487619597270428040762389e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=732.4MB, alloc=4.6MB, time=70.85 x[1] = 0.1246 y2[1] (analytic) = 1.1242778443549408622034614176216 y2[1] (numeric) = 1.1242778443549408713507662140535 absolute error = 9.1473047964319e-18 relative error = 8.1361603293714327057994616521305e-16 % h = 0.0001 y1[1] (analytic) = 1.1242778443549408622034614176216 y1[1] (numeric) = 1.1242778533664367379380558344591 absolute error = 9.0114958757345944168375e-09 relative error = 8.0153637474773667223789174477890e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1247 y2[1] (analytic) = 1.1243770684791608204664143008569 y2[1] (numeric) = 1.1243770684791608298392435413682 absolute error = 9.3728292405113e-18 relative error = 8.3360195643166621627842970925810e-16 % h = 0.0001 y1[1] (analytic) = 1.1243770684791608204664143008569 y1[1] (numeric) = 1.1243770775640818452927457560335 absolute error = 9.0849210248263314551766e-09 relative error = 8.0799593655130749218215705385772e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=736.2MB, alloc=4.6MB, time=71.36 NO POLE NO POLE x[1] = 0.1248 y2[1] (analytic) = 1.1244762913596100949742345497421 y2[1] (numeric) = 1.1244762913596101045772027230573 absolute error = 9.6029681733152e-18 relative error = 8.5399472155203926578401835837937e-16 % h = 0.0001 y1[1] (analytic) = 1.1244762913596100949742345497421 y1[1] (numeric) = 1.1244763005182538495996541307024 absolute error = 9.1586437546254195809603e-09 relative error = 8.1448082320629953762904182371160e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=740.0MB, alloc=4.6MB, time=71.86 NO POLE NO POLE x[1] = 0.1249 y2[1] (analytic) = 1.124575512995296456923256276536 y2[1] (numeric) = 1.124575512995296466761053094583 absolute error = 9.8377968180470e-18 relative error = 8.7480090970895492347643769660170e-16 % h = 0.0001 y1[1] (analytic) = 1.124575512995296456923256276536 y1[1] (numeric) = 1.1245755222279605175866416049803 absolute error = 9.2326640606633853284443e-09 relative error = 8.2099102763426443156825864428940e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=743.8MB, alloc=4.6MB, time=72.40 NO POLE NO POLE x[1] = 0.125 y2[1] (analytic) = 1.1246747333852276899574427087121 y2[1] (numeric) = 1.1246747333852277000348340224919 absolute error = 1.00773913137798e-17 relative error = 8.9602718142757948733927424469204e-16 % h = 0.0001 y1[1] (analytic) = 1.1246747333852276899574427087121 y1[1] (numeric) = 1.1246747426922096284232454887635 absolute error = 9.3069819384658027800514e-09 relative error = 8.2752654275891351385027941965718e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1251 y2[1] (analytic) = 1.124773952528411590178308352511 y2[1] (numeric) = 1.1247739525284116005001370753691 absolute error = 1.03218287228581e-17 relative error = 9.1768027697079626677786996154347e-16 % h = 0.0001 y1[1] (analytic) = 1.124773952528411590178308352511 y1[1] (numeric) = 1.1247739619100089737306020009597 absolute error = 9.3815973835522936484487e-09 relative error = 8.3408736150611704048761004435978e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=747.6MB, alloc=4.6MB, time=72.90 NO POLE NO POLE x[1] = 0.1252 y2[1] (analytic) = 1.124873170423855966154841031917 y2[1] (numeric) = 1.1248731704238559767260280702463 absolute error = 1.05711870383293e-17 relative error = 9.3976701696476958648053158231740e-16 % h = 0.0001 y1[1] (analytic) = 1.124873170423855966154841031917 y1[1] (numeric) = 1.1248731798803663575913683906316 absolute error = 9.4565103914365273587146e-09 relative error = 8.4067347680390338329430702863111e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=751.5MB, alloc=4.6MB, time=73.43 NO POLE NO POLE x[1] = 0.1253 y2[1] (analytic) = 1.1249723870705686389334238029599 y2[1] (numeric) = 1.1249723870705686497589689943656 absolute error = 1.08255451914057e-17 relative error = 9.6229430302689038427216494897720e-16 % h = 0.0001 y1[1] (analytic) = 1.1249723870705686389334238029599 y1[1] (numeric) = 1.1249723966022895965596449335545 absolute error = 9.5317209576262211305946e-09 relative error = 8.4728488158245822986348442850226e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=755.3MB, alloc=4.6MB, time=73.96 NO POLE NO POLE x[1] = 0.1254 y2[1] (analytic) = 1.1250716024675574420477567432427 y2[1] (numeric) = 1.1250716024675574531327398021983 absolute error = 1.10849830589556e-17 relative error = 9.8526911839597751332641703853741e-16 % h = 0.0001 y1[1] (analytic) = 1.1250716024675574420477567432427 y1[1] (numeric) = 1.1250716120747865196708968040901 absolute error = 9.6072290776231400608474e-09 relative error = 8.5392156877412378388278179534662e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=759.1MB, alloc=4.6MB, time=74.47 x[1] = 0.1255 y2[1] (analytic) = 1.1251708166138302215287786165969 y2[1] (numeric) = 1.125170816613830232878360087621 absolute error = 1.13495814710241e-17 relative error = 1.0086985285647866988005170188840e-15 % h = 0.0001 y1[1] (analytic) = 1.1251708166138302215287786165969 y1[1] (numeric) = 1.1251708262968649684518758222757 absolute error = 9.6830347469230972056788e-09 relative error = 8.6058353131339796578740835137853e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1256 y2[1] (analytic) = 1.1252700295083948359145884127642 y2[1] (numeric) = 1.1252700295083948475340106311487 absolute error = 1.16194222183845e-17 relative error = 1.0325896819149057226830080825487e-15 % h = 0.0001 y1[1] (analytic) = 1.1252700295083948359145884127642 y1[1] (numeric) = 1.1252700392675327969305420760304 absolute error = 9.7591379610159536632662e-09 relative error = 8.6727076213693361375084984001788e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=762.9MB, alloc=4.6MB, time=75.00 NO POLE NO POLE x[1] = 0.1257 y2[1] (analytic) = 1.1253692411502591562603667620076 y2[1] (numeric) = 1.125369241150259168154954822126 absolute error = 1.18945880601184e-17 relative error = 1.0569498103538655481047340102998e-15 % h = 0.0001 y1[1] (analytic) = 1.1253692411502591562603667620076 y1[1] (numeric) = 1.1253692509857978716459854183795 absolute error = 9.8355387153856186563719e-09 relative error = 8.7398325418353768501291565726660e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=766.7MB, alloc=4.6MB, time=75.51 NO POLE NO POLE x[1] = 0.1258 y2[1] (analytic) = 1.1254684515384310661482972245513 y2[1] (numeric) = 1.1254684515384310783234599557773 absolute error = 1.21751627312260e-17 relative error = 1.0817862299545993109859265756734e-15 % h = 0.0001 y1[1] (analytic) = 1.1254684515384310661482972245513 y1[1] (numeric) = 1.1254684614506680716583468395967 absolute error = 9.9122370055100496150454e-09 relative error = 8.8072100039417045754498177434549e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=770.5MB, alloc=4.6MB, time=76.05 NO POLE NO POLE x[1] = 0.1259 y2[1] (analytic) = 1.1255676606719184616974874547504 y2[1] (numeric) = 1.1255676606719184741587184050171 absolute error = 1.24612309502667e-17 relative error = 1.1071063415972566322831612428129e-15 % h = 0.0001 y1[1] (analytic) = 1.1255676606719184616974874547504 y1[1] (numeric) = 1.1255676706611512885587397141659 absolute error = 9.9892328268612522594155e-09 relative error = 8.8748399371194473205233834314009e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.126 y2[1] (analytic) = 1.1256668685497292515738902398917 y2[1] (numeric) = 1.12566686854972926432676866692 absolute error = 1.27528784270283e-17 relative error = 1.1329176316132207937369973653496e-15 % h = 0.0001 y1[1] (analytic) = 1.1256668685497292515738902398917 y1[1] (numeric) = 1.1256668786162554264791709224631 absolute error = 1.00665261749052806825714e-08 relative error = 8.9427222708212503431340877527711e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=774.4MB, alloc=4.6MB, time=76.55 NO POLE NO POLE x[1] = 0.1261 y2[1] (analytic) = 1.1257660751708713570002244135262 y2[1] (numeric) = 1.1257660751708713700504162837529 absolute error = 1.30501918702267e-17 relative error = 1.1592276724314962098492962729518e-15 % h = 0.0001 y1[1] (analytic) = 1.1257660751708713570002244135262 y1[1] (numeric) = 1.1257660853149884021024618470588 absolute error = 1.01441170451022374335326e-08 relative error = 9.0108569345212681785566052012985e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=778.2MB, alloc=4.6MB, time=77.06 NO POLE NO POLE x[1] = 0.1262 y2[1] (analytic) = 1.125865280534352711765895643233 y2[1] (numeric) = 1.1258652805343527251191546384687 absolute error = 1.33532589952357e-17 relative error = 1.1860441232274292235740843683896e-15 % h = 0.0001 y1[1] (analytic) = 1.125865280534352711765895643233 y1[1] (numeric) = 1.1258652907563581446721692435424 absolute error = 1.02220054329062736003094e-08 relative error = 9.0792438577151566696820550797087e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=782.0MB, alloc=4.6MB, time=77.57 NO POLE NO POLE x[1] = 0.1263 y2[1] (analytic) = 1.1259644846391812622369170927176 y2[1] (numeric) = 1.1259644846391812758990856245631 absolute error = 1.36621685318455e-17 relative error = 1.2133747305736364666237233161164e-15 % h = 0.0001 y1[1] (analytic) = 1.1259644846391812622369170927176 y1[1] (numeric) = 1.1259644949393725960025059857688 absolute error = 1.03001913337655888930512e-08 relative error = 9.1478829699200650005067966034528e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=785.8MB, alloc=4.6MB, time=78.12 x[1] = 0.1264 y2[1] (analytic) = 1.1260636874843649673658299581428 y2[1] (numeric) = 1.126063687484364981342840190195 absolute error = 1.39770102320522e-17 relative error = 1.2412273290933436922472452490488e-15 % h = 0.0001 y1[1] (analytic) = 1.1260636874843649673658299581428 y1[1] (numeric) = 1.1260636978630397104882616854283 absolute error = 1.03786747431224317272855e-08 relative error = 9.2167742006746277329849732027910e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1265 y2[1] (analytic) = 1.126162889068911798701623878596 y2[1] (numeric) = 1.1261628890689118129994987564714 absolute error = 1.42978748778754e-17 relative error = 1.2696098421158761005225330878744e-15 % h = 0.0001 y1[1] (analytic) = 1.126162889068911798701623878596 y1[1] (numeric) = 1.1261628995263674551147231858402 absolute error = 1.04574556564130993072442e-08 relative error = 9.2859174795389568472401693875172e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=789.6MB, alloc=4.6MB, time=78.62 NO POLE NO POLE x[1] = 0.1266 y2[1] (analytic) = 1.1262620893918297403996572205901 y2[1] (numeric) = 1.1262620893918297550245115097977 absolute error = 1.46248542892076e-17 relative error = 1.2985302823346273680457065991962e-15 % h = 0.0001 y1[1] (analytic) = 1.1262620893918297403996572205901 y1[1] (numeric) = 1.1262620999283638094675949298718 absolute error = 1.05365340690679377092817e-08 relative error = 9.3553127360946337851385608902576e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=793.4MB, alloc=4.6MB, time=79.15 NO POLE NO POLE x[1] = 0.1267 y2[1] (analytic) = 1.1263612884521267892315772365021 y2[1] (numeric) = 1.1263612884521268041896185681938 absolute error = 1.49580413316917e-17 relative error = 1.3279967524671773806532433356958e-15 % h = 0.0001 y1[1] (analytic) = 1.1263612884521267892315772365021 y1[1] (numeric) = 1.1263612990680367657429192018822 absolute error = 1.06159099765113419653801e-08 relative error = 9.4249598999447014972177689639553e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=797.2MB, alloc=4.6MB, time=79.66 NO POLE NO POLE x[1] = 0.1268 y2[1] (analytic) = 1.1264604862488109545952400968484 y2[1] (numeric) = 1.1264604862488109698927700214772 absolute error = 1.52975299246288e-17 relative error = 1.3580174459177526648939323006860e-15 % h = 0.0001 y1[1] (analytic) = 1.1264604862488109545952400968484 y1[1] (numeric) = 1.1264604969443943287569962435931 absolute error = 1.06955833741617561467447e-08 relative error = 9.4948589007136564929726466370987e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1269 y2[1] (analytic) = 1.1265596827808902585246307962978 y2[1] (numeric) = 1.126559682780890274168045845214 absolute error = 1.56434150489162e-17 relative error = 1.3886006474420192160148084466581e-15 % h = 0.0001 y1[1] (analytic) = 1.1265596827808902585246307962978 y1[1] (numeric) = 1.1265596935564445159563042437867 absolute error = 1.07755542574316734474889e-08 relative error = 9.5650096680474408944955841983645e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=801.1MB, alloc=4.6MB, time=80.16 NO POLE NO POLE x[1] = 0.127 y2[1] (analytic) = 1.1266588780473727356997829333235 y2[1] (numeric) = 1.1266588780473727516955756883378 absolute error = 1.59957927550143e-17 relative error = 1.4197547338140909179757152718664e-15 % h = 0.0001 y1[1] (analytic) = 1.1266588780473727356997829333235 y1[1] (numeric) = 1.1266588889031953574274192017312 absolute error = 1.08558226217276362684077e-08 relative error = 9.6354121316134344934690113719228e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=804.9MB, alloc=4.6MB, time=80.67 NO POLE NO POLE x[1] = 0.1271 y2[1] (analytic) = 1.1267580720472664334566983633942 y2[1] (numeric) = 1.1267580720472664498114585343384 absolute error = 1.63547601709442e-17 relative error = 1.4514881744959119589843989108236e-15 % h = 0.0001 y1[1] (analytic) = 1.1267580720472664334566983633942 y1[1] (numeric) = 1.1267580829836548959069346642355 absolute error = 1.09363884624502363008413e-08 relative error = 9.7060662211004468115098162672327e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=808.7MB, alloc=4.6MB, time=81.18 NO POLE NO POLE x[1] = 0.1272 y2[1] (analytic) = 1.1268572647795794117972667256064 y2[1] (numeric) = 1.1268572647795794285176822359202 absolute error = 1.67204155103138e-17 relative error = 1.4838095323088165650618864403527e-15 % h = 0.0001 y1[1] (analytic) = 1.1268572647795794117972667256064 y1[1] (numeric) = 1.1268572757968311867913813362332 absolute error = 1.10172517749941146106268e-08 relative error = 9.7769718662187091638622951333523e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=812.5MB, alloc=4.6MB, time=81.68 x[1] = 0.1273 y2[1] (analytic) = 1.1269564562433197433991848426567 y2[1] (numeric) = 1.1269564562433197604920429230317 absolute error = 1.70928580803750e-17 relative error = 1.5167274641074954386940997047453e-15 % h = 0.0001 y1[1] (analytic) = 1.1269564562433197433991848426567 y1[1] (numeric) = 1.1269564673417322981471465647972 absolute error = 1.10984125547479617221405e-08 relative error = 9.8481289966998667264402421205685e-07 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1274 y2[1] (analytic) = 1.1270556464374955136258759940568 y2[1] (numeric) = 1.1270556464374955310980642841667 absolute error = 1.74721882901099e-17 relative error = 1.5502507214561811124343040874718e-15 % h = 0.0001 y1[1] (analytic) = 1.1270556464374955136258759940568 y1[1] (numeric) = 1.1270556576173663107203936964853 absolute error = 1.11798707970945177024285e-08 relative error = 9.9195375422969706062145286714791e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=816.3MB, alloc=4.6MB, time=82.19 NO POLE NO POLE x[1] = 0.1275 y2[1] (analytic) = 1.1271548353611148205364090624911 y2[1] (numeric) = 1.1271548353611148383949167208378 absolute error = 1.78585076583467e-17 relative error = 1.5843881513071129727094849140896e-15 % h = 0.0001 y1[1] (analytic) = 1.1271548353611148205364090624911 y1[1] (numeric) = 1.1271548466227413179469813079181 absolute error = 1.12616264974105722454270e-08 relative error = 9.9911974327844699149458070680995e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=820.1MB, alloc=4.6MB, time=82.71 NO POLE NO POLE x[1] = 0.1276 y2[1] (analytic) = 1.1272540230131857748954175532173 y2[1] (numeric) = 1.1272540230131857931473363751231 absolute error = 1.82519188219058e-17 relative error = 1.6191486966813249241900033877738e-15 % h = 0.0001 y1[1] (analytic) = 1.1272540230131857748954175532173 y1[1] (numeric) = 1.1272540343568654259623823094892 absolute error = 1.13436796510669647562719e-08 relative error = 1.0063108597958203846260375851498e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=823.9MB, alloc=4.6MB, time=83.21 NO POLE NO POLE x[1] = 0.1277 y2[1] (analytic) = 1.1273532093927165001830184864124 y2[1] (numeric) = 1.1273532093927165188355440301874 absolute error = 1.86525255437750e-17 relative error = 1.6545413973516567095913029379223e-15 % h = 0.0001 y1[1] (analytic) = 1.1273532093927165001830184864124 y1[1] (numeric) = 1.1273532208187467536116029221096 absolute error = 1.14260302534285844356972e-08 relative error = 1.0135270967635393756067157241861e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1278 y2[1] (analytic) = 1.1274523944987151326047311623629 y2[1] (numeric) = 1.127452394498715151665163883678 absolute error = 1.90604327213151e-17 relative error = 1.6905753905281028388454351200211e-15 % h = 0.0001 y1[1] (analytic) = 1.1274523944987151326047311623629 y1[1] (numeric) = 1.127452406007393432459101526886 absolute error = 1.15086782998543703645231e-08 relative error = 1.0207684471654635246314979600943e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=827.8MB, alloc=4.6MB, time=83.72 NO POLE NO POLE x[1] = 0.1279 y2[1] (analytic) = 1.1275515783301898211013957994013 y2[1] (numeric) = 1.1275515783301898405771421938963 absolute error = 1.94757463944950e-17 relative error = 1.7272599115454178884677200412128e-15 % h = 0.0001 y1[1] (analytic) = 1.1275515783301898211013957994013 y1[1] (numeric) = 1.1275515899218136067987073876347 absolute error = 1.15916237856973115882334e-08 relative error = 1.0280349039875890252088205340106e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=831.6MB, alloc=4.6MB, time=84.21 NO POLE NO POLE x[1] = 0.128 y2[1] (analytic) = 1.1276507608861487273590920444897 y2[1] (numeric) = 1.1276507608861487472576657986459 absolute error = 1.98985737541562e-17 relative error = 1.7646042945529679331653171307288e-15 % h = 0.0001 y1[1] (analytic) = 1.1276507608861487273590920444897 y1[1] (numeric) = 1.1276507725610154336635392461315 absolute error = 1.16748667063044472016418e-08 relative error = 1.0353264602180479132038745790189e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=835.4MB, alloc=4.6MB, time=84.72 NO POLE NO POLE x[1] = 0.1281 y2[1] (analytic) = 1.1277499421656000258190573563505 y2[1] (numeric) = 1.1277499421656000461480805066582 absolute error = 2.03290231503077e-17 relative error = 1.8026179732069154183960383346187e-15 % h = 0.0001 y1[1] (analytic) = 1.1277499421656000258190573563505 y1[1] (numeric) = 1.1277499539240070828359237899982 absolute error = 1.17584070570168664336477e-08 relative error = 1.0426431088471072762153392383253e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=839.2MB, alloc=4.6MB, time=85.24 x[1] = 0.1282 y2[1] (analytic) = 1.1278491221675519036876052610459 y2[1] (numeric) = 1.1278491221675519244548093614959 absolute error = 2.07672041004500e-17 relative error = 1.8413104813646207932832145034083e-15 % h = 0.0001 y1[1] (analytic) = 1.1278491221675519036876052610459 y1[1] (numeric) = 1.127849134009796736857313993127 absolute error = 1.18422448331697087320811e-08 relative error = 1.0499848428671684632854507340575e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1283 y2[1] (analytic) = 1.1279483008910125609460434799063 y2[1] (numeric) = 1.1279483008910125821592707778357 absolute error = 2.12132272979294e-17 relative error = 1.8806914537813659468407617262628e-15 % h = 0.0001 y1[1] (analytic) = 1.1279483008910125609460434799063 y1[1] (numeric) = 1.1279483128173925910382073285434 absolute error = 1.19263800300921638486371e-08 relative error = 1.0573516552727662949432916081543e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=843.0MB, alloc=4.6MB, time=85.76 NO POLE NO POLE x[1] = 0.1284 y2[1] (analytic) = 1.1280474783349902103605919297094 y2[1] (numeric) = 1.1280474783349902320277965500308 absolute error = 2.16672046203214e-17 relative error = 1.9207706268092916596819955570359e-15 % h = 0.0001 y1[1] (analytic) = 1.1280474783349902103605919297094 y1[1] (numeric) = 1.1280474903458028534680638536084 absolute error = 1.20108126431074719238990e-08 relative error = 1.0647435390605682735810514386153e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=846.8MB, alloc=4.6MB, time=86.27 NO POLE NO POLE x[1] = 0.1285 y2[1] (analytic) = 1.1281466544984930774923005950091 y2[1] (numeric) = 1.1281466544984930996215497328538 absolute error = 2.21292491378447e-17 relative error = 1.9615578390986806898853344158618e-15 % h = 0.0001 y1[1] (analytic) = 1.1281466544984930774923005950091 y1[1] (numeric) = 1.1281466665940357450252241674607 absolute error = 1.20955426675329235724516e-08 relative error = 1.0721604872293737941632409493067e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=850.6MB, alloc=4.6MB, time=86.78 NO POLE NO POLE x[1] = 0.1286 y2[1] (analytic) = 1.1282458293805294007069672725172 y2[1] (numeric) = 1.1282458293805294233064423943215 absolute error = 2.25994751218043e-17 relative error = 2.0030630323014521197401632912399e-15 % h = 0.0001 y1[1] (analytic) = 1.1282458293805294007069672725172 y1[1] (numeric) = 1.1282458415610994993868272406 absolute error = 1.21805700986798599680828e-08 relative error = 1.0796024927801133552685312016909e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1287 y2[1] (analytic) = 1.1283450029801074311850551874372 y2[1] (numeric) = 1.1283450029801074542630532405012 absolute error = 2.30779980530640e-17 relative error = 2.0452962517768922103653970093960e-15 % h = 0.0001 y1[1] (analytic) = 1.1283450029801074311850551874372 y1[1] (numeric) = 1.1283450152460023630387281165119 absolute error = 1.22658949318536729290747e-08 relative error = 1.0870695487158477704641644999358e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=854.5MB, alloc=4.6MB, time=87.28 NO POLE NO POLE x[1] = 0.1288 y2[1] (analytic) = 1.128444175296235432931610481651 y2[1] (numeric) = 1.128444175296235456496545112201 absolute error = 2.35649346305500e-17 relative error = 2.0882676472997710581696047643339e-15 % h = 0.0001 y1[1] (analytic) = 1.128444175296235432931610481651 y1[1] (numeric) = 1.1284441876477525952854154852357 absolute error = 1.23515171623538050035847e-08 relative error = 1.0945616480417673800128216196512e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=858.3MB, alloc=4.6MB, time=87.81 NO POLE NO POLE x[1] = 0.1289 y2[1] (analytic) = 1.1285433463279216827861795736606 y2[1] (numeric) = 1.1285433463279217068465823534433 absolute error = 2.40604027797827e-17 relative error = 2.1319874737705866371942556689584e-15 % h = 0.0001 y1[1] (analytic) = 1.1285433463279216827861795736606 y1[1] (numeric) = 1.1285433587653584682599291287751 absolute error = 1.24374367854737495551145e-08 relative error = 1.1020787837651912629115996397478e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=862.1MB, alloc=4.6MB, time=88.32 NO POLE NO POLE x[1] = 0.129 y2[1] (analytic) = 1.128642516074174470432726390184 y2[1] (numeric) = 1.1286425160741744949972480516233 absolute error = 2.45645216614393e-17 relative error = 2.1764660919281653042179413567026e-15 % h = 0.0001 y1[1] (analytic) = 1.128642516074174470432726390184 y1[1] (numeric) = 1.1286425285978282669337772382539 absolute error = 1.25236537965010508480699e-08 relative error = 1.1096209488955664492631978836317e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=865.9MB, alloc=4.6MB, time=88.83 x[1] = 0.1291 y2[1] (analytic) = 1.1287416845340020984095494693075 y2[1] (numeric) = 1.1287416845340021234869611492532 absolute error = 2.50774116799457e-17 relative error = 2.2217139690644844462515273170596e-15 % h = 0.0001 y1[1] (analytic) = 1.1287416845340020984095494693075 y1[1] (numeric) = 1.1287416971441702891268536027158 absolute error = 1.26101681907173041334083e-08 relative error = 1.1171881364444671329788778156790e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1292 y2[1] (analytic) = 1.1288408517064128821191989350947 y2[1] (numeric) = 1.1288408517064129077183934271925 absolute error = 2.55991944920978e-17 relative error = 2.2677416797417247828780204085485e-15 % h = 0.0001 y1[1] (analytic) = 1.1288408517064128821191989350947 y1[1] (numeric) = 1.128840864403392845517354669471 absolute error = 1.26969799633981557343763e-08 relative error = 1.1247803394255938848132502431846e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=869.7MB, alloc=4.6MB, time=89.33 NO POLE NO POLE x[1] = 0.1293 y2[1] (analytic) = 1.128940017590415149838393343552 y2[1] (numeric) = 1.1289400175904151759683863592658 absolute error = 2.61299930157138e-17 relative error = 2.3145599065116926987157735468720e-15 % h = 0.0001 y1[1] (analytic) = 1.128940017590415149838393343552 y1[1] (numeric) = 1.1289400303745042596516964758891 absolute error = 1.27840891098133031323371e-08 relative error = 1.1323975508547728657307039477787e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=873.5MB, alloc=4.6MB, time=89.85 NO POLE NO POLE x[1] = 0.1294 y2[1] (analytic) = 1.1290391821850172427279363998541 y2[1] (numeric) = 1.1290391821850172693978678381684 absolute error = 2.66699314383143e-17 relative error = 2.3621794406373277425058065885658e-15 % h = 0.0001 y1[1] (analytic) = 1.1290391821850172427279363998541 y1[1] (numeric) = 1.1290391950565128679544314525393 absolute error = 1.28714956252264950526852e-08 relative error = 1.1400397637499550406030951186679e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=877.3MB, alloc=4.6MB, time=90.39 NO POLE NO POLE x[1] = 0.1295 y2[1] (analytic) = 1.1291383454892275148426335467268 y2[1] (numeric) = 1.1291383454892275420617687725609 absolute error = 2.72191352258341e-17 relative error = 2.4106111828166394276325405672313e-15 % h = 0.0001 y1[1] (analytic) = 1.1291383454892275148426335467268 y1[1] (numeric) = 1.1291383584484270197381650975798 absolute error = 1.29591995048955315508530e-08 relative error = 1.1477069711312153922389459992779e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1296 y2[1] (analytic) = 1.1292375075020543331412084238914 y2[1] (numeric) = 1.1292375075020543609189395552538 absolute error = 2.77777311313624e-17 relative error = 2.4598661439087796288573346239596e-15 % h = 0.0001 y1[1] (analytic) = 1.1292375075020543331412084238914 y1[1] (numeric) = 1.1292375205492550772134725222954 absolute error = 1.30472007440722640984040e-08 relative error = 1.1553991660207521357435242603324e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=881.2MB, alloc=4.6MB, time=90.90 NO POLE NO POLE x[1] = 0.1297 y2[1] (analytic) = 1.1293366682225060774962191984686 y2[1] (numeric) = 1.1293366682225061058420664023822 absolute error = 2.83458472039136e-17 relative error = 2.5099554456624440880151912505735e-15 % h = 0.0001 y1[1] (analytic) = 1.1293366682225060774962191984686 y1[1] (numeric) = 1.129336681358005415498814867686 absolute error = 1.31354993380025956692174e-08 relative error = 1.1631163414428859332100693579591e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=885.0MB, alloc=4.6MB, time=91.45 NO POLE NO POLE x[1] = 0.1298 y2[1] (analytic) = 1.1294358276495911407039747662453 y2[1] (numeric) = 1.1294358276495911696275875634719 absolute error = 2.89236127972266e-17 relative error = 2.5608903214464156845573964789187e-15 % h = 0.0001 y1[1] (analytic) = 1.1294358276495911407039747662453 y1[1] (numeric) = 1.1294358408736864226304555920054 absolute error = 1.32240952819264808257601e-08 relative error = 1.1708584904240591087416527721167e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=888.8MB, alloc=4.6MB, time=91.96 NO POLE NO POLE x[1] = 0.1299 y2[1] (analytic) = 1.1295349857823179284944508237027 y2[1] (numeric) = 1.1295349857823179580056094022982 absolute error = 2.95111585785955e-17 relative error = 2.6126821169825049185419877145825e-15 % h = 0.0001 y1[1] (analytic) = 1.1295349857823179284944508237027 y1[1] (numeric) = 1.1295349990953064995723766291523 absolute error = 1.33129885710779258054496e-08 relative error = 1.1786256059928348638038233448631e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=892.6MB, alloc=4.6MB, time=92.50 x[1] = 0.13 y2[1] (analytic) = 1.1296341426196948595412058107083 y2[1] (numeric) = 1.1296341426196948896498223484373 absolute error = 3.01086165377290e-17 relative error = 2.6653422910806471386729232536882e-15 % h = 0.0001 y1[1] (analytic) = 1.1296341426196948595412058107083 y1[1] (numeric) = 1.1296341560218740602261944178135 absolute error = 1.34021792006849886071052e-08 relative error = 1.1864176811798964929076488077778e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1301 y2[1] (analytic) = 1.1297332981607303654712967237726 y2[1] (numeric) = 1.129733298160730396187416719412 absolute error = 3.07161199956394e-17 relative error = 2.7188824163762348762268361641734e-15 % h = 0.0001 y1[1] (analytic) = 1.1297332981607303654712967237726 y1[1] (numeric) = 1.1297333116523975314410758012606 absolute error = 1.34916671659697790774880e-08 relative error = 1.1942347090180465996230392358320e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=896.4MB, alloc=4.6MB, time=93.00 NO POLE NO POLE x[1] = 0.1302 y2[1] (analytic) = 1.1298324524044328908751947997696 y2[1] (numeric) = 1.1298324524044329222089984133316 absolute error = 3.13338036135620e-17 relative error = 2.7733141800697547399260032410683e-15 % h = 0.0001 y1[1] (analytic) = 1.1298324524044328908751947997696 y1[1] (numeric) = 1.1298324659858853530236537977012 absolute error = 1.35814524621484589979316e-08 relative error = 1.2020766825422063129223621312688e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=900.2MB, alloc=4.6MB, time=93.50 NO POLE NO POLE x[1] = 0.1303 y2[1] (analytic) = 1.1299316053498108933167010700244 y2[1] (numeric) = 1.1299316053498109252785044719279 absolute error = 3.19618034019035e-17 relative error = 2.8286493846686035761158649838169e-15 % h = 0.0001 y1[1] (analytic) = 1.1299316053498108933167010700244 y1[1] (numeric) = 1.1299316190213459777479432410846 absolute error = 1.36715350844312421710602e-08 relative error = 1.2099435947894145038538986032882e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=904.1MB, alloc=4.6MB, time=94.00 NO POLE NO POLE x[1] = 0.1304 y2[1] (analytic) = 1.1300307569958728433428617846662 y2[1] (numeric) = 1.1300307569958728759431185138876 absolute error = 3.26002567292214e-17 relative error = 2.8848999487312595634320278187088e-15 % h = 0.0001 y1[1] (analytic) = 1.1300307569958728433428617846662 y1[1] (numeric) = 1.1300307707577878713652562922642 absolute error = 1.37619150280223945075980e-08 relative error = 1.2178354387988270025453275503005e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1305 y2[1] (analytic) = 1.1301299073416272244938837071506 y2[1] (numeric) = 1.1301299073416272577431860383815 absolute error = 3.32493023312309e-17 relative error = 2.9420779076134971182363623360220e-15 % h = 0.0001 y1[1] (analytic) = 1.1301299073416272244938837071506 y1[1] (numeric) = 1.130129921194219512614117820416 absolute error = 1.38525922881202341132654e-08 relative error = 1.2257522076117158155366813168656e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=907.9MB, alloc=4.6MB, time=94.50 NO POLE NO POLE x[1] = 0.1306 y2[1] (analytic) = 1.1302290563860825333130492788482 y2[1] (numeric) = 1.1302290563860825672221295986925 absolute error = 3.39090803198443e-17 relative error = 3.0001954142170867655032874317375e-15 % h = 0.0001 y1[1] (analytic) = 1.1302290563860825333130492788482 y1[1] (numeric) = 1.1302290703296493932301806546151 absolute error = 1.39435668599171313757669e-08 relative error = 1.2336938942714683434430483517963e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=911.7MB, alloc=4.6MB, time=95.01 NO POLE NO POLE x[1] = 0.1307 y2[1] (analytic) = 1.1303282041282472793566316536042 y2[1] (numeric) = 1.130328204128247313936363845842 absolute error = 3.45797321922378e-17 relative error = 3.0592647397405272745867036403369e-15 % h = 0.0001 y1[1] (analytic) = 1.1303282041282472793566316536042 y1[1] (numeric) = 1.1303282181630860179561407054705 absolute error = 1.40348387385995090518663e-08 relative error = 1.2416604918235865989464754046341e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=915.5MB, alloc=4.6MB, time=95.55 NO POLE NO POLE x[1] = 0.1308 y2[1] (analytic) = 1.1304273505671299852038096021673 y2[1] (numeric) = 1.1304273505671300204652104421165 absolute error = 3.52614008399492e-17 relative error = 3.1192982744321184512875098420522e-15 % h = 0.0001 y1[1] (analytic) = 1.1304273505671299852038096021673 y1[1] (numeric) = 1.1304273646935379045516519567193 absolute error = 1.41264079193478423545520e-08 relative error = 1.2496519933156864251171590831143e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=919.3MB, alloc=4.6MB, time=96.06 NO POLE NO POLE x[1] = 0.1309 y2[1] (analytic) = 1.1305264957017391864665822863894 y2[1] (numeric) = 1.1305264957017392224208128443946 absolute error = 3.59542305580052e-17 relative error = 3.1803085283452581804429669495867e-15 % h = 0.0001 y1[1] (analytic) = 1.1305264957017391864665822863894 y1[1] (numeric) = 1.1305265099200135838032413266811 absolute error = 1.42182743973366590402917e-08 relative error = 1.2576683917974967140637069149544e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.131 y2[1] (analytic) = 1.1306256395310834317996839030976 y2[1] (numeric) = 1.1306256395310834684580509571759 absolute error = 3.66583670540783e-17 relative error = 3.2423081320959623756192331122164e-15 % h = 0.0001 y1[1] (analytic) = 1.1306256395310834317996839030976 y1[1] (numeric) = 1.1306256538415215995342233994733 absolute error = 1.43104381677345394963757e-08 relative error = 1.2657096803208586259122393409099e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=923.1MB, alloc=4.6MB, time=96.58 NO POLE NO POLE x[1] = 0.1311 y2[1] (analytic) = 1.1307247820541712829104981975385 y2[1] (numeric) = 1.1307247820541713202844556552118 absolute error = 3.73739574576733e-17 relative error = 3.3053098376226064935395507450740e-15 % h = 0.0001 y1[1] (analytic) = 1.1307247820541712829104981975385 y1[1] (numeric) = 1.1307247964570705086146150258882 absolute error = 1.44028992257041168283497e-08 relative error = 1.2737758519397248081142545464773e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=926.9MB, alloc=4.6MB, time=97.12 NO POLE NO POLE x[1] = 0.1312 y2[1] (analytic) = 1.130823923270011314568972846296 y2[1] (numeric) = 1.1308239232700113526701231756399 absolute error = 3.81011503293439e-17 relative error = 3.3693265189479314874794772288323e-15 % h = 0.0001 y1[1] (analytic) = 1.130823923270011314568972846296 y1[1] (numeric) = 1.130823937765668880971049793833 absolute error = 1.44956575664020769475370e-08 relative error = 1.2818668997101586150830896373708e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=930.8MB, alloc=4.6MB, time=97.66 NO POLE NO POLE x[1] = 0.1313 y2[1] (analytic) = 1.1309230631776121146175337095839 y2[1] (numeric) = 1.1309230631776121534576293795223 absolute error = 3.88400956699384e-17 relative error = 3.4343711729432244088845275766084e-15 % h = 0.0001 y1[1] (analytic) = 1.1309230631776121146175337095839 y1[1] (numeric) = 1.1309230777663252995966923682335 absolute error = 1.45887131849791586586496e-08 relative error = 1.2899828166903333281587763854196e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1314 y2[1] (analytic) = 1.1310222017759822839809989528128 y2[1] (numeric) = 1.131022201775982323571943882689 absolute error = 3.95909449298762e-17 relative error = 3.5004569200948226516445952322357e-15 % h = 0.0001 y1[1] (analytic) = 1.1310222017759822839809989528128 y1[1] (numeric) = 1.1310222164580483605611527003019 absolute error = 1.46820660765801537474891e-08 relative error = 1.2981235959405313759012136689754e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=934.6MB, alloc=4.6MB, time=98.16 NO POLE NO POLE x[1] = 0.1315 y2[1] (analytic) = 1.1311213390641304366764930373343 y2[1] (numeric) = 1.131121339064130477030344055787 absolute error = 4.03538510184527e-17 relative error = 3.5675970052727282569338134499570e-15 % h = 0.0001 y1[1] (analytic) = 1.1311213390641304366764930373343 y1[1] (numeric) = 1.1311213538398466730204001060699 absolute error = 1.47757162363439070687356e-08 relative error = 1.3062892305231435547113400594700e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=938.4MB, alloc=4.6MB, time=98.67 NO POLE NO POLE x[1] = 0.1316 y2[1] (analytic) = 1.1312204750410651998233605802611 y2[1] (numeric) = 1.131220475041065240952328893436 absolute error = 4.11289683131749e-17 relative error = 3.6358047985015343268347412492272e-15 % h = 0.0001 y1[1] (analytic) = 1.1312204750410651998233605802611 y1[1] (numeric) = 1.1312204899107288592266772140883 absolute error = 1.48696636594033166338272e-08 relative error = 1.3144797135026682497803791622856e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=942.2MB, alloc=4.6MB, time=99.20 NO POLE NO POLE x[1] = 0.1317 y2[1] (analytic) = 1.1313196097057952136530800832653 y2[1] (numeric) = 1.1313196097057952555695327523918 absolute error = 4.19164526691265e-17 relative error = 3.7050937957335560802036211594577e-15 % h = 0.0001 y1[1] (analytic) = 1.1313196097057952136530800832653 y1[1] (numeric) = 1.1313196246697035545384137821934 absolute error = 1.49639083408853336989281e-08 relative error = 1.3226950379457106563668236385506e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=946.0MB, alloc=4.6MB, time=99.71 NO POLE NO POLE x[1] = 0.1318 y2[1] (analytic) = 1.1314187430573291315191775302556 y2[1] (numeric) = 1.131418743057329174235638958618 absolute error = 4.27164614283624e-17 relative error = 3.7754776196241563827415358823321e-15 % h = 0.0001 y1[1] (analytic) = 1.1314187430573291315191775302556 y1[1] (numeric) = 1.131418758115779407430140383241 absolute error = 1.50584502759109628529854e-08 relative error = 1.3309351969209820014010096505228e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1319 y2[1] (analytic) = 1.1315178750946756199071398538334 y2[1] (numeric) = 1.1315178750946756634362932831668 absolute error = 4.35291534293334e-17 relative error = 3.8469700203093351296487749282769e-15 % h = 0.0001 y1[1] (analytic) = 1.1315178750946756199071398538334 y1[1] (numeric) = 1.1315178902479650795024019597097 absolute error = 1.51532894595952621058763e-08 relative error = 1.3392001834992987654172749543218e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=949.8MB, alloc=4.6MB, time=100.22 NO POLE NO POLE x[1] = 0.132 y2[1] (analytic) = 1.1316170058168433584443282704301 y2[1] (numeric) = 1.1316170058168434027990172867703 absolute error = 4.43546890163402e-17 relative error = 3.9195848761855015832225305654599e-15 % h = 0.0001 y1[1] (analytic) = 1.1316170058168433584443282704301 y1[1] (numeric) = 1.1316170210652692454916712470734 absolute error = 1.52484258870473429766433e-08 relative error = 1.3474899907535819048133315293639e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=953.6MB, alloc=4.6MB, time=100.73 NO POLE NO POLE x[1] = 0.1321 y2[1] (analytic) = 1.131716135222841039909891484025 y2[1] (numeric) = 1.1317161352228410851031215330423 absolute error = 4.51932300490173e-17 relative error = 3.9933361946914813666283386614549e-15 % h = 0.0001 y1[1] (analytic) = 1.131716135222841039909891484025 y1[1] (numeric) = 1.1317161505667005932802620658442 absolute error = 1.53438595533703705818192e-08 relative error = 1.3558046117588560744368549845583e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=957.5MB, alloc=4.6MB, time=101.24 NO POLE NO POLE x[1] = 0.1322 y2[1] (analytic) = 1.1318152633116773702446787583455 y2[1] (numeric) = 1.1318152633116774162896186701924 absolute error = 4.60449399118469e-17 relative error = 4.0682381130927656021387942715290e-15 % h = 0.0001 y1[1] (analytic) = 1.1318152633116773702446787583455 y1[1] (numeric) = 1.131815278751267823906242482187 absolute error = 1.54395904536615637238415e-08 relative error = 1.3641440395922488504990985760183e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1323 y2[1] (analytic) = 1.1319143900823610685611528574503 y2[1] (numeric) = 1.1319143900823611154711363811524 absolute error = 4.69099835237021e-17 relative error = 4.1443048992679390002746334812556e-15 % h = 0.0001 y1[1] (analytic) = 1.1319143900823610685611528574503 y1[1] (numeric) = 1.1319144056179796515733478370059 absolute error = 1.55356185830121949795556e-08 relative error = 1.3725082673329899538153221107847e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=961.3MB, alloc=4.6MB, time=101.76 NO POLE NO POLE x[1] = 0.1324 y2[1] (analytic) = 1.1320135155339008671533028545968 y2[1] (numeric) = 1.1320135155339009149418302020168 absolute error = 4.77885273474200e-17 relative error = 4.2215509524973385902816003920346e-15 % h = 0.0001 y1[1] (analytic) = 1.1320135155339008671533028545968 y1[1] (numeric) = 1.1320135311658448036608936434041 absolute error = 1.56319439365075907888073e-08 relative error = 1.3808972880624104733719233042831e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=965.1MB, alloc=4.6MB, time=102.31 NO POLE NO POLE x[1] = 0.1325 y2[1] (analytic) = 1.1321126396653055115065568092928 y2[1] (numeric) = 1.1321126396653055601872962086972 absolute error = 4.86807393994044e-17 relative error = 4.2999908042539152488892567869263e-15 % h = 0.0001 y1[1] (analytic) = 1.1321126396653055115065568092928 y1[1] (numeric) = 1.1321126553938720207336883524173 absolute error = 1.57285665092271315431245e-08 relative error = 1.3893110948639420902201062140623e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=968.9MB, alloc=4.6MB, time=102.86 NO POLE NO POLE x[1] = 0.1326 y2[1] (analytic) = 1.1322117624755837603076943124337 y2[1] (numeric) = 1.1322117624755838098944835716924 absolute error = 4.95867892592587e-17 relative error = 4.3796391189963496943401640254851e-15 % h = 0.0001 y1[1] (analytic) = 1.1322117624755837603076943124337 y1[1] (numeric) = 1.1322117783010700565519459869219 absolute error = 1.58254862962442516744882e-08 relative error = 1.3977496808231163016959391270896e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=972.7MB, alloc=4.6MB, time=103.40 NO POLE NO POLE x[1] = 0.1327 y2[1] (analytic) = 1.132310883963744385454758899427 y2[1] (numeric) = 1.1323108839637444359616069788745 absolute error = 5.05068480794475e-17 relative error = 4.4605106949642891151716163936335e-15 % h = 0.0001 y1[1] (analytic) = 1.132310883963744385454758899427 y1[1] (numeric) = 1.1323108998864476780811986436196 absolute error = 1.59227032926264397441926e-08 relative error = 1.4062130390275636459666278611414e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1328 y2[1] (analytic) = 1.132410004128796172066970331203 y2[1] (numeric) = 1.1324100041287962235080589261924 absolute error = 5.14410885949894e-17 relative error = 4.5426204649759239260111836040417e-15 % h = 0.0001 y1[1] (analytic) = 1.132410004128796172066970331203 y1[1] (numeric) = 1.1324100201490136655022088629975 absolute error = 1.60202174934352385317945e-08 relative error = 1.4147011625670129269028658599964e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=976.5MB, alloc=4.6MB, time=103.93 NO POLE NO POLE x[1] = 0.1329 y2[1] (analytic) = 1.1325091229697479184946367430149 y2[1] (numeric) = 1.1325091229697479708843218761928 absolute error = 5.23896851331779e-17 relative error = 4.6259834972276295118203613891310e-15 % h = 0.0001 y1[1] (analytic) = 1.1325091229697479184946367430149 y1[1] (numeric) = 1.1325091390877768122208818671666 absolute error = 1.61180288937262451241517e-08 relative error = 1.4232140445332904392770783838514e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=980.4MB, alloc=4.6MB, time=104.47 NO POLE NO POLE x[1] = 0.133 y2[1] (analytic) = 1.1326082404856084363290666609268 y2[1] (numeric) = 1.1326082404856084896818802842604 absolute error = 5.33528136233336e-17 relative error = 4.7106149960959542529882982324072e-15 % h = 0.0001 y1[1] (analytic) = 1.1326082404856084363290666609268 y1[1] (numeric) = 1.1326082567017459248781776654778 absolute error = 1.62161374885491110045510e-08 relative error = 1.4317516780203191942874576613347e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=984.2MB, alloc=4.6MB, time=105.04 NO POLE NO POLE x[1] = 0.1331 y2[1] (analytic) = 1.1327073566753865504124808858932 y2[1] (numeric) = 1.1327073566753866047431324924777 absolute error = 5.43306516065845e-17 relative error = 4.7965303029416699089109593814723e-15 % h = 0.0001 y1[1] (analytic) = 1.1327073566753865504124808858932 y1[1] (numeric) = 1.1327073729899298233600230278176 absolute error = 1.63145432729475421419244e-08 relative error = 1.4403140561241181454075093480247e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1332 y2[1] (analytic) = 1.1328064715380910988479242453276 y2[1] (numeric) = 1.1328064715380911541713024910054 absolute error = 5.53233782456778e-17 relative error = 4.8837448969161832603315243856767e-15 % h = 0.0001 y1[1] (analytic) = 1.1328064715380910988479242453276 y1[1] (numeric) = 1.132806487951337340807223325484 absolute error = 1.64132462419592990801564e-08 relative error = 1.4489011719428014145612103948415e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=988.0MB, alloc=4.6MB, time=105.59 NO POLE NO POLE x[1] = 0.1333 y2[1] (analytic) = 1.1329055850727309330091772120647 y2[1] (numeric) = 1.1329055850727309893403515468843 absolute error = 5.63311743348196e-17 relative error = 4.9722743957699898213653927483443e-15 % h = 0.0001 y1[1] (analytic) = 1.1329055850727309330091772120647 y1[1] (numeric) = 1.1329056015849773236253742395427 absolute error = 1.65122463906161970274780e-08 relative error = 1.4575130185765775186232339732575e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=991.8MB, alloc=4.6MB, time=106.18 NO POLE NO POLE x[1] = 0.1334 y2[1] (analytic) = 1.1330046972783149175506673906136 y2[1] (numeric) = 1.1330046972783149749048897001593 absolute error = 5.73542223095457e-17 relative error = 5.0621345566634508296586765678317e-15 % h = 0.0001 y1[1] (analytic) = 1.1330046972783149175506673906136 y1[1] (numeric) = 1.1330047138898586314947733365657 absolute error = 1.66115437139441059459521e-08 relative error = 1.4661495891277485962445006338267e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=995.6MB, alloc=4.6MB, time=106.73 NO POLE NO POLE x[1] = 0.1335 y2[1] (analytic) = 1.1331038081538519304173808706056 y2[1] (numeric) = 1.1331038081538519888100871272272 absolute error = 5.83927062566216e-17 relative error = 5.1533412769797244353070771394374e-15 % h = 0.0001 y1[1] (analytic) = 1.1331038081538519304173808706056 y1[1] (numeric) = 1.1331038248649901373803315116523 absolute error = 1.67111382069629506410467e-08 relative error = 1.4748108767007096350025821664076e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=999.4MB, alloc=4.6MB, time=107.30 NO POLE NO POLE x[1] = 0.1336 y2[1] (analytic) = 1.1332029176983508628547734473362 y2[1] (numeric) = 1.1332029176983509223015853713081 absolute error = 5.94468119239719e-17 relative error = 5.2459105951398674430213061980453e-15 % h = 0.0001 y1[1] (analytic) = 1.1332029176983508628547734473362 y1[1] (numeric) = 1.1332029345093807275414842986341 absolute error = 1.68110298646867108512979e-08 relative error = 1.4834968744019476988769791108518e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1337 y2[1] (analytic) = 1.1333020259108206194186817093019 y2[1] (numeric) = 1.1333020259108206799354084399422 absolute error = 6.05167267306403e-17 relative error = 5.3398586914202121884255974757236e-15 % h = 0.0001 y1[1] (analytic) = 1.1333020259108206194186817093019 y1[1] (numeric) = 1.1333020428220393015421030473639 absolute error = 1.69112186821234213380620e-08 relative error = 1.4922075753400411560490545849729e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1003.2MB, alloc=4.6MB, time=107.84 NO POLE NO POLE x[1] = 0.1338 y2[1] (analytic) = 1.1334011327902701179852339926341 y2[1] (numeric) = 1.1334011327902701795878737694121 absolute error = 6.16026397767780e-17 relative error = 5.4352018887718230742747526523050e-15 % h = 0.0001 y1[1] (analytic) = 1.1334011327902701179852339926341 y1[1] (numeric) = 1.1334011498019747722604059679905 absolute error = 1.70117046542751719753564e-08 relative error = 1.5009429726256589070264425152401e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1007.1MB, alloc=4.6MB, time=108.41 NO POLE NO POLE x[1] = 0.1339 y2[1] (analytic) = 1.133500238335708289760761202329 y2[1] (numeric) = 1.1335002383357083524655030559923 absolute error = 6.27047418536633e-17 relative error = 5.5319566536422785407258882798529e-15 % h = 0.0001 y1[1] (analytic) = 1.133500238335708289760761202329 y1[1] (numeric) = 1.1335002554481960658988690421195 absolute error = 1.71124877761381078397905e-08 relative error = 1.5097030593715596130918807909594e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1010.9MB, alloc=4.6MB, time=108.97 NO POLE NO POLE x[1] = 0.134 y2[1] (analytic) = 1.1335993425461440792917075001763 y2[1] (numeric) = 1.1335993425461441431149329539263 absolute error = 6.38232254537500e-17 relative error = 5.6301395967995653561539523931172e-15 % h = 0.0001 y1[1] (analytic) = 1.1335993425461440792917075001763 y1[1] (numeric) = 1.1335993597597121219941368007614 absolute error = 1.72135680427024293005851e-08 relative error = 1.5184878286925909250761816925476e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1341 y2[1] (analytic) = 1.1336984454205864444745408592866 y2[1] (numeric) = 1.1336984454205865094328256400321 absolute error = 6.49582847807455e-17 relative error = 5.7297674741581633468483300280777e-15 % h = 0.0001 y1[1] (analytic) = 1.1336984454205864444745408592866 y1[1] (numeric) = 1.1336984627355318934269329689674 absolute error = 1.73149454489523921096808e-08 relative error = 1.5272972737056887124552285340809e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1014.7MB, alloc=4.6MB, time=109.53 NO POLE NO POLE x[1] = 0.1342 y2[1] (analytic) = 1.1337975469580443565656634851183 y2[1] (numeric) = 1.1337975469580444226757792448372 absolute error = 6.61101157597189e-17 relative error = 5.8308571876073457099125228663252e-15 % h = 0.0001 y1[1] (analytic) = 1.1337975469580443565656634851183 y1[1] (numeric) = 1.1337975643746643464319709770546 absolute error = 1.74166199898663074919363e-08 relative error = 1.5361313875298762927709227922979e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1018.5MB, alloc=4.6MB, time=110.10 NO POLE NO POLE x[1] = 0.1343 y2[1] (analytic) = 1.1338966471575268001913221029055 y2[1] (numeric) = 1.1338966471575268674702381501443 absolute error = 6.72789160472388e-17 relative error = 5.9334257858416671213453913431744e-15 % h = 0.0001 y1[1] (analytic) = 1.1338966471575268001913221029055 y1[1] (numeric) = 1.1338966646761184606078643383209 absolute error = 1.75185916604165422354154e-08 relative error = 1.5449901632862636613758208198132e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1022.3MB, alloc=4.6MB, time=110.66 NO POLE NO POLE x[1] = 0.1344 y2[1] (analytic) = 1.1339957460180427733575181113869 y2[1] (numeric) = 1.1339957460180428418224031529278 absolute error = 6.84648850415409e-17 relative error = 6.0374904651936471443238857043300e-15 % h = 0.0001 y1[1] (analytic) = 1.1339957460180427733575181113869 y1[1] (numeric) = 1.1339957636389032289270368931505 absolute error = 1.76208604555695187817636e-08 relative error = 1.5538735940980467215013845832934e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1026.1MB, alloc=4.6MB, time=111.22 NO POLE NO POLE x[1] = 0.1345 y2[1] (analytic) = 1.1340948435386012874599176027379 y2[1] (numeric) = 1.1340948435386013571281414954628 absolute error = 6.96682238927249e-17 relative error = 6.1430685704686035319455681311276e-15 % h = 0.0001 y1[1] (analytic) = 1.1340948435386012874599176027379 y1[1] (numeric) = 1.1340948612620276577456329194109 absolute error = 1.77234263702857153166730e-08 relative error = 1.5627816730905065146495769075967e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1346 y2[1] (analytic) = 1.1341939397182113672937612486056 y2[1] (numeric) = 1.1341939397182114381828967615871 absolute error = 7.08891355129815e-17 relative error = 6.2501775957817046693852844520155e-15 % h = 0.0001 y1[1] (analytic) = 1.1341939397182113672937612486056 y1[1] (numeric) = 1.1341939575445007668134271090429 absolute error = 1.78262893995196658604373e-08 relative error = 1.5717143933910084513078051918806e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1029.9MB, alloc=4.6MB, time=111.77 NO POLE NO POLE x[1] = 0.1347 y2[1] (analytic) = 1.1342930345558820510637740521481 y2[1] (numeric) = 1.1342930345558821231915986389971 absolute error = 7.21278245868490e-17 relative error = 6.3588351853971957433046467019462e-15 % h = 0.0001 y1[1] (analytic) = 1.1342930345558820510637740521481 y1[1] (numeric) = 1.1342930524853315892837344107437 absolute error = 1.79294495382199603585956e-08 relative error = 1.5806717481290015419869442376950e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1033.8MB, alloc=4.6MB, time=112.33 NO POLE NO POLE x[1] = 0.1348 y2[1] (analytic) = 1.1343921280506223903940749659787 y2[1] (numeric) = 1.1343921280506224637785725474785 absolute error = 7.33844975814998e-17 relative error = 6.4690591345698237805538171364847e-15 % h = 0.0001 y1[1] (analytic) = 1.1343921280506223903940749659787 y1[1] (numeric) = 1.1343921460835291717233197386441 absolute error = 1.80329067813292447726654e-08 relative error = 1.5896537304360176285823188521100e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1037.6MB, alloc=4.6MB, time=112.89 NO POLE NO POLE x[1] = 0.1349 y2[1] (analytic) = 1.1344912202014414503380863759172 y2[1] (numeric) = 1.134491220201441524997449132973 absolute error = 7.46593627570558e-17 relative error = 6.5808673903883720919387535288746e-15 % h = 0.0001 y1[1] (analytic) = 1.1344912202014414503380863759172 y1[1] (numeric) = 1.1344912383381025741223075468815 absolute error = 1.81366611237842211709643e-08 relative error = 1.5986603334456706160574476164053e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.135 y2[1] (analytic) = 1.1345903110073483093884434504466 y2[1] (numeric) = 1.1345903110073483853410736273815 absolute error = 7.59526301769349e-17 relative error = 6.6942780526214967595797409526432e-15 % h = 0.0001 y1[1] (analytic) = 1.1345903110073483093884434504466 y1[1] (numeric) = 1.1345903292480608699040912699687 absolute error = 1.82407125605156478195221e-08 relative error = 1.6076915502936557044505432270470e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1041.4MB, alloc=4.6MB, time=113.44 NO POLE NO POLE x[1] = 0.1351 y2[1] (analytic) = 1.1346894004673520594869033557788 y2[1] (numeric) = 1.1346894004673521367514150740048 absolute error = 7.72645117182260e-17 relative error = 6.8093093745656346486653288832102e-15 % h = 0.0001 y1[1] (analytic) = 1.1346894004673520594869033557788 y1[1] (numeric) = 1.1346894188124131459352426288597 absolute error = 1.83450610864483392730809e-08 relative error = 1.6167473741177486212034034613628e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1045.2MB, alloc=4.6MB, time=113.99 NO POLE NO POLE x[1] = 0.1352 y2[1] (analytic) = 1.1347884885804618060342543364292 y2[1] (numeric) = 1.134788488580461884629475418523 absolute error = 7.85952210820938e-17 relative error = 6.9259797638950962619324298153442e-15 % h = 0.0001 y1[1] (analytic) = 1.1347884885804618060342543364292 y1[1] (numeric) = 1.1347885070301685025354208026134 absolute error = 1.84497066965011664661842e-08 relative error = 1.6258277980578048538126266661508e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1049.0MB, alloc=4.6MB, time=114.55 NO POLE NO POLE x[1] = 0.1353 y2[1] (analytic) = 1.1348875753456866679002246611999 y2[1] (numeric) = 1.1348875753456867478451984654144 absolute error = 7.99449738042145e-17 relative error = 7.0443077835144390532721062079630e-15 % h = 0.0001 y1[1] (analytic) = 1.1348875753456866679002246611999 y1[1] (numeric) = 1.1348875939003360534872814655564 absolute error = 1.85546493855870568043565e-08 relative error = 1.6349328152557588828031297457371e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1052.8MB, alloc=4.6MB, time=115.11 NO POLE NO POLE x[1] = 0.1354 y2[1] (analytic) = 1.1349866607620357774333914344743 y2[1] (numeric) = 1.1349866607620358587473786997143 absolute error = 8.13139872652400e-17 relative error = 7.1643121524129083765271174374045e-15 % h = 0.0001 y1[1] (analytic) = 1.1349866607620357774333914344743 y1[1] (numeric) = 1.1349866794219249260463856898456 absolute error = 1.86598891486129942553713e-08 relative error = 1.6440624188556234150236294319441e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1355 y2[1] (analytic) = 1.1350857448285182804710892727234 y2[1] (numeric) = 1.1350857448285183631735699740152 absolute error = 8.27024807012918e-17 relative error = 7.2860117465210505509443005030075e-15 % h = 0.0001 y1[1] (analytic) = 1.1350857448285182804710892727234 y1[1] (numeric) = 1.135085763593944260951108713331 absolute error = 1.87654259804800194406076e-08 relative error = 1.6532166020034886172639416482116e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1056.6MB, alloc=4.6MB, time=115.66 NO POLE NO POLE x[1] = 0.1356 y2[1] (analytic) = 1.1351848275441433363493188461241 y2[1] (numeric) = 1.1351848275441434204599940606093 absolute error = 8.41106752144852e-17 relative error = 7.4094255995695495970703043208916e-15 % h = 0.0001 y1[1] (analytic) = 1.1351848275441433363493188461241 y1[1] (numeric) = 1.1351848464154032124325485726205 absolute error = 1.88712598760832297264964e-08 relative error = 1.6623953578475213501940771843745e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1060.5MB, alloc=4.6MB, time=116.23 NO POLE NO POLE x[1] = 0.1357 y2[1] (analytic) = 1.1352839089079201179126552851906 y2[1] (numeric) = 1.135283908907920203451449068674 absolute error = 8.55387937834834e-17 relative error = 7.5345729039502510773049647571238e-15 % h = 0.0001 y1[1] (analytic) = 1.1352839089079201179126552851906 y1[1] (numeric) = 1.1352839278853109482244346012472 absolute error = 1.89773908303117793160566e-08 relative error = 1.6715986795379644026249269130211e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1064.3MB, alloc=4.6MB, time=116.79 NO POLE NO POLE x[1] = 0.1358 y2[1] (analytic) = 1.1353829889188578115241564523208 y2[1] (numeric) = 1.135382988918857898511217726401 absolute error = 8.69870612740802e-17 relative error = 7.6614730115792572325637976997587e-15 % h = 0.0001 y1[1] (analytic) = 1.1353829889188578115241564523208 y1[1] (numeric) = 1.1353830080026766495730357928399 absolute error = 1.90838188380488793405191e-08 relative error = 1.6808265602271357260902770520898e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1068.1MB, alloc=4.6MB, time=117.32 x[1] = 0.1359 y2[1] (analytic) = 1.1354820675759656170752710781572 y2[1] (numeric) = 1.1354820675759657055309755279709 absolute error = 8.84557044498137e-17 relative error = 7.7901454347623035402469495339238e-15 % h = 0.0001 y1[1] (analytic) = 1.1354820675759656170752710781572 y1[1] (numeric) = 1.135482086766509511247069029198 absolute error = 1.91905438941717979510408e-08 relative error = 1.6900789930694276697501505326515e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.136 y2[1] (analytic) = 1.1355811448782527479957467626642 y2[1] (numeric) = 1.1355811448782528379406987452729 absolute error = 8.99449519826087e-17 relative error = 7.9206098470622127871607562781433e-15 % h = 0.0001 y1[1] (analytic) = 1.1355811448782527479957467626642 y1[1] (numeric) = 1.1355811641758187415476071731717 absolute error = 1.92975659935518604105075e-08 relative error = 1.6993559712213062156152327448738e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1071.9MB, alloc=4.6MB, time=117.88 NO POLE NO POLE x[1] = 0.1361 y2[1] (analytic) = 1.1356802208247284312635378408226 y2[1] (numeric) = 1.1356802208247285227185723042719 absolute error = 9.14550344634493e-17 relative error = 8.0528860841685574946966069611157e-15 % h = 0.0001 y1[1] (analytic) = 1.1356802208247284312635378408226 y1[1] (numeric) = 1.1356802402296135623179870262484 absolute error = 1.94048851310544491854258e-08 relative error = 1.7086574878413102140922369371691e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1075.7MB, alloc=4.6MB, time=118.45 NO POLE NO POLE x[1] = 0.1362 y2[1] (analytic) = 1.1357792954144019074147131128414 y2[1] (numeric) = 1.1357792954144020004008975259227 absolute error = 9.29861844130813e-17 relative error = 8.1869941447694941563575815313559e-15 % h = 0.0001 y1[1] (analytic) = 1.1357792954144019074147131128414 y1[1] (numeric) = 1.1357793149269032089537171507461 absolute error = 1.95125013015390040379047e-08 relative error = 1.7179835360900506198501174467575e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1079.5MB, alloc=4.6MB, time=119.01 NO POLE NO POLE x[1] = 0.1363 y2[1] (analytic) = 1.1358783686462824305533634387893 y2[1] (numeric) = 1.1358783686462825250919997315331 absolute error = 9.45386362927438e-17 relative error = 8.3229541914257151658170191387030e-15 % h = 0.0001 y1[1] (analytic) = 1.1358783686462824305533634387893 y1[1] (numeric) = 1.1358783882666969304123855565147 absolute error = 1.96204144998590221177254e-08 relative error = 1.7273341091302097280068452963159e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1364 y2[1] (analytic) = 1.1359774405193792683615091975451 y2[1] (numeric) = 1.1359774405193793644741357124762 absolute error = 9.61126265149311e-17 relative error = 8.4607865514466140024283942835400e-15 % h = 0.0001 y1[1] (analytic) = 1.1359774405193792683615091975451 y1[1] (numeric) = 1.1359774602480039892235672520466 absolute error = 1.97286247208620580545015e-08 relative error = 1.7367092001265404106367865763638e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1083.3MB, alloc=4.6MB, time=119.56 NO POLE NO POLE x[1] = 0.1365 y2[1] (analytic) = 1.1360765110327017021090076099697 y2[1] (numeric) = 1.1360765110327017998174010641535 absolute error = 9.77083934541838e-17 relative error = 8.6005117177685655256193418810534e-15 % h = 0.0001 y1[1] (analytic) = 1.1360765110327017021090076099697 y1[1] (numeric) = 1.1360765308698336614987316598967 absolute error = 1.98371319593897240499270e-08 relative error = 1.7461088022458653535983014731960e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1087.2MB, alloc=4.6MB, time=120.11 NO POLE NO POLE x[1] = 0.1366 y2[1] (analytic) = 1.1361755801852590266634599261986 y2[1] (numeric) = 1.1361755801852591259896373841087 absolute error = 9.93261774579101e-17 relative error = 8.7421503498354081287716697834963e-15 % h = 0.0001 y1[1] (analytic) = 1.1361755801852590266634599261986 y1[1] (numeric) = 1.1361756001311952369411498963135 absolute error = 1.99459362102776899701149e-08 relative error = 1.7555329086570762936816573225487e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1091.0MB, alloc=4.6MB, time=120.66 NO POLE NO POLE x[1] = 0.1367 y2[1] (analytic) = 1.1362746479760605505001184769586 y2[1] (numeric) = 1.1362746479760606514663393341947 absolute error = 1.009662208572361e-16 relative error = 8.8857232744810208276330039912525e-15 % h = 0.0001 y1[1] (analytic) = 1.1362746479760605505001184769586 y1[1] (numeric) = 1.1362746680310980188558019149818 absolute error = 2.00550374683556834380232e-08 relative error = 1.7649815125311332560768209378548e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1094.8MB, alloc=4.6MB, time=121.20 x[1] = 0.1368 y2[1] (analytic) = 1.136373714404115595711793588806 y2[1] (numeric) = 1.1363737144041156983405615666926 absolute error = 1.026287679778866e-16 relative error = 9.0312514868141260308869551143227e-15 % h = 0.0001 y1[1] (analytic) = 1.136373714404115595711793588806 y1[1] (numeric) = 1.1363737345685513241592835147778 absolute error = 2.01644357284474899259718e-08 relative error = 1.7744546070410637921612853351153e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1369 y2[1] (analytic) = 1.1364727794684334980187603631909 y2[1] (numeric) = 1.1364727794684336023328255142861 absolute error = 1.043140651510952e-16 relative error = 9.1787561511052110722632386185432e-15 % h = 0.0001 y1[1] (analytic) = 1.1364727794684334980187603631909 y1[1] (numeric) = 1.1364727997425644833897132114384 absolute error = 2.02741309853709528482475e-08 relative error = 1.7839521853619622176075314966692e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1098.6MB, alloc=4.6MB, time=121.75 NO POLE NO POLE x[1] = 0.137 y2[1] (analytic) = 1.1365718431680236067786653192461 y2[1] (numeric) = 1.1365718431680237128010260437899 absolute error = 1.060223607245438e-16 relative error = 9.3282586016755760372838662782221e-15 % h = 0.0001 y1[1] (analytic) = 1.1365718431680236067786653192461 y1[1] (numeric) = 1.1365718635521468407166389730443 absolute error = 2.03841232339379736537982e-08 relative error = 1.7934742406709888508100692069752e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1102.4MB, alloc=4.6MB, time=122.31 NO POLE NO POLE x[1] = 0.1371 y2[1] (analytic) = 1.1366709055018952849964329002021 y2[1] (numeric) = 1.1366709055018953927503379735347 absolute error = 1.077539050733326e-16 relative error = 9.4797803437886033888151964661813e-15 % h = 0.0001 y1[1] (analytic) = 1.1366709055018952849964329002021 y1[1] (numeric) = 1.1366709259963077539509448192188 absolute error = 2.04944124689545119190167e-08 relative error = 1.8030207661473692516319394244216e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1106.2MB, alloc=4.6MB, time=122.88 NO POLE NO POLE x[1] = 0.1372 y2[1] (analytic) = 1.13676996646905790933417184333 y2[1] (numeric) = 1.1367699664690580188431224543088 absolute error = 1.095089506109788e-16 relative error = 9.6333430545430897203499422673930e-15 % h = 0.0001 y1[1] (analytic) = 1.13676996646905790933417184333 y1[1] (numeric) = 1.136769987074056594554757283943 absolute error = 2.06049986852205854406130e-08 relative error = 1.8125917549723934604704287575650e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1373 y2[1] (analytic) = 1.1368690260685208701210814133117 y2[1] (numeric) = 1.1368690260685209814088332137578 absolute error = 1.112877518004461e-16 relative error = 9.7889685837688231247952305542242e-15 % h = 0.0001 y1[1] (analytic) = 1.1368690260685208701210814133117 y1[1] (numeric) = 1.1368690467844027476513517418885 absolute error = 2.07158818775302703285768e-08 relative error = 1.8221872003294152376419930538165e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1110.1MB, alloc=4.6MB, time=123.42 NO POLE NO POLE x[1] = 0.1374 y2[1] (analytic) = 1.13696808429929357136335749894 y2[1] (numeric) = 1.1369680842992936844539226641428 absolute error = 1.130905651652028e-16 relative error = 9.9466789549242113399341334245333e-15 % h = 0.0001 y1[1] (analytic) = 1.13696808429929357136335749894 y1[1] (numeric) = 1.1369681051263556120350585981677 absolute error = 2.08270620406717010992277e-08 relative error = 1.8318070954038513030860176824628e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1113.9MB, alloc=4.6MB, time=123.98 NO POLE NO POLE x[1] = 0.1375 y2[1] (analytic) = 1.1370671411603854307540985730485 y2[1] (numeric) = 1.1370671411603855456717478733587 absolute error = 1.149176493003102e-16 relative error = 1.0106496365996108955297814026586e-14 % h = 0.0001 y1[1] (analytic) = 1.1370671411603854307540985730485 y1[1] (numeric) = 1.137067162098924600181169341404 absolute error = 2.09385391694270707683555e-08 relative error = 1.8414514333831805763874732619998e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1117.7MB, alloc=4.6MB, time=124.55 NO POLE NO POLE x[1] = 0.1376 y2[1] (analytic) = 1.1371661966508058796832115155717 y2[1] (numeric) = 1.137166196650805996452476399113 absolute error = 1.167692648835413e-16 relative error = 1.0268443190401842367545584322042e-14 % h = 0.0001 y1[1] (analytic) = 1.1371661966508058796832115155717 y1[1] (numeric) = 1.1371662177011191382558424600214 absolute error = 2.10503132585726309444497e-08 relative error = 1.8511202074569434171182353210990e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1121.5MB, alloc=4.6MB, time=125.11 x[1] = 0.1377 y2[1] (analytic) = 1.1372652507695643632473172996386 y2[1] (numeric) = 1.1372652507695644818929919861659 absolute error = 1.186456746865273e-16 relative error = 1.0432541977893211346897043251310e-14 % h = 0.0001 y1[1] (analytic) = 1.1372652507695643632473172996386 y1[1] (numeric) = 1.137265271931948666126009221656 absolute error = 2.11623843028786919220174e-08 relative error = 1.8608134108167408654968453122201e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1378 y2[1] (analytic) = 1.1373643035156703402596565405973 y2[1] (numeric) = 1.1373643035156704608068001265335 absolute error = 1.205471435859362e-16 relative error = 1.0598815455462844104869157800076e-14 % h = 0.0001 y1[1] (analytic) = 1.1373643035156703402596565405973 y1[1] (numeric) = 1.1373643247904226373692793155886 absolute error = 2.12747522971096227749913e-08 relative error = 1.8705310366562338833667103337836e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1125.3MB, alloc=4.6MB, time=125.67 NO POLE NO POLE x[1] = 0.1379 y2[1] (analytic) = 1.1374633548881332832599949078752 y2[1] (numeric) = 1.1374633548881334057339334825542 absolute error = 1.224739385746790e-16 relative error = 1.0767286528252508839824994838577e-14 % h = 0.0001 y1[1] (analytic) = 1.1374633548881332832599949078752 y1[1] (numeric) = 1.1374633762755505192838463581008 absolute error = 2.13874172360238514502256e-08 relative error = 1.8802730781711425954923960258546e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1129.1MB, alloc=4.6MB, time=126.22 NO POLE NO POLE x[1] = 0.138 y2[1] (analytic) = 1.1375624048859626785245283995723 y2[1] (numeric) = 1.1375624048859628029508571727196 absolute error = 1.244263287731473e-16 relative error = 1.0937978280463714643822961689865e-14 % h = 0.0001 y1[1] (analytic) = 1.1375624048859626785245283995723 y1[1] (numeric) = 1.1375624263863417928983932606548 absolute error = 2.15003791143738648610825e-08 relative error = 1.8900395285592455311740980660063e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1132.9MB, alloc=4.6MB, time=126.77 NO POLE NO POLE x[1] = 0.1381 y2[1] (analytic) = 1.1376614535081680260757884796918 y2[1] (numeric) = 1.1376614535081681524803739201706 absolute error = 1.264045854404788e-16 relative error = 1.1110913976270292755344709046608e-14 % h = 0.0001 y1[1] (analytic) = 1.1376614535081680260757884796918 y1[1] (numeric) = 1.137661475121805952981997460798 absolute error = 2.16136379269062089811062e-08 relative error = 1.8998303810203788661798677902040e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1382 y2[1] (analytic) = 1.1377605007537588396925470779057 y2[1] (numeric) = 1.1377605007537589681015290637603 absolute error = 1.284089819858546e-16 relative error = 1.1286117060733299758312411174604e-14 % h = 0.0001 y1[1] (analytic) = 1.1377605007537588396925470779057 y1[1] (numeric) = 1.1377605224809525080540360156935 absolute error = 2.17271936683614889377878e-08 relative error = 1.9096456287564356649957390323745e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1136.8MB, alloc=4.6MB, time=127.32 NO POLE NO POLE x[1] = 0.1383 y2[1] (analytic) = 1.1378595466217446469197214517595 y2[1] (numeric) = 1.1378595466217447773595154315838 absolute error = 1.304397939798243e-16 relative error = 1.1463611160717889803997370866021e-14 % h = 0.0001 y1[1] (analytic) = 1.1378595466217446469197214517595 y1[1] (numeric) = 1.1378595684627909803940905581772 absolute error = 2.18410463334743691064177e-08 relative error = 1.9194852649713651233933055360496e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1140.6MB, alloc=4.6MB, time=127.85 NO POLE NO POLE x[1] = 0.1384 y2[1] (analytic) = 1.1379585911111349890782789112143 y2[1] (numeric) = 1.1379585911111351215755780768761 absolute error = 1.324972991656618e-16 relative error = 1.1643420085812409527236852297729e-14 % h = 0.0001 y1[1] (analytic) = 1.1379585911111349890782789112143 y1[1] (numeric) = 1.1379586130663309060518521152425 absolute error = 2.19551959169735732040282e-08 relative error = 1.9293492828711718113148346283869e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1144.4MB, alloc=4.6MB, time=128.38 NO POLE NO POLE x[1] = 0.1385 y2[1] (analytic) = 1.1380576342209394212751414054293 y2[1] (numeric) = 1.1380576342209395558569188761799 absolute error = 1.345817774707506e-16 relative error = 1.1825567829249608888925269662630e-14 % h = 0.0001 y1[1] (analytic) = 1.1380576342209394212751414054293 y1[1] (numeric) = 1.1380576562905818348570257888539 absolute error = 2.20696424135818843834246e-08 relative error = 1.9392376756639149160756161390552e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1148.2MB, alloc=4.6MB, time=128.89 x[1] = 0.1386 y2[1] (analytic) = 1.1381566759501675124130899716838 y2[1] (numeric) = 1.1381566759501676491066009896827 absolute error = 1.366935110179989e-16 relative error = 1.2010078568829993043241644866870e-14 % h = 0.0001 y1[1] (analytic) = 1.1381566759501675124130899716838 y1[1] (numeric) = 1.1381566981345533304292352989897 absolute error = 2.21843858180161453273059e-08 relative error = 1.9491504365597074858834917433880e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1387 y2[1] (analytic) = 1.1382557162978288452006690463417 y2[1] (numeric) = 1.1382557162978289840334531836256 absolute error = 1.388327841372839e-16 relative error = 1.2196976667847261242372312296460e-14 % h = 0.0001 y1[1] (analytic) = 1.1382557162978288452006690463417 y1[1] (numeric) = 1.1382557385972549701879273888158 absolute error = 2.22994261249872583424741e-08 relative error = 1.9590875587707156736753254300965e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1152.0MB, alloc=4.6MB, time=129.41 NO POLE NO POLE x[1] = 0.1388 y2[1] (analytic) = 1.1383547552629330161620906377575 y2[1] (numeric) = 1.1383547552629331571619740146838 absolute error = 1.409998833769263e-16 relative error = 1.2386286676015919382905215998221e-14 % h = 0.0001 y1[1] (analytic) = 1.1383547552629330161620906377575 y1[1] (numeric) = 1.1383547776776963453622760918906 absolute error = 2.24147633292001854541331e-08 relative error = 1.9690490355111579812703516281182e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1155.8MB, alloc=4.6MB, time=129.94 NO POLE NO POLE x[1] = 0.1389 y2[1] (analytic) = 1.1384537928444896356471383610258 y2[1] (numeric) = 1.1384537928444897788422358762204 absolute error = 1.431950975151946e-16 relative error = 1.2578033330401029764106642016896e-14 % h = 0.0001 y1[1] (analytic) = 1.1384537928444896356471383610258 y1[1] (numeric) = 1.1384538153748870610010868613025 absolute error = 2.25303974253539485002767e-08 relative error = 1.9790348599973045038402057892716e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1159.6MB, alloc=4.6MB, time=130.45 NO POLE NO POLE x[1] = 0.139 y2[1] (analytic) = 1.1385528290415083278410713344755 y2[1] (numeric) = 1.1385528290415084732597889063138 absolute error = 1.454187175718383e-16 relative error = 1.2772241556350017738363257175849e-14 % h = 0.0001 y1[1] (analytic) = 1.1385528290415083278410713344755 y1[1] (numeric) = 1.1385528516878367359827005606406 absolute error = 2.26463284081416292261651e-08 relative error = 1.9890450254474761746954335517540e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1391 y2[1] (analytic) = 1.1386518638529987307745279378089 y2[1] (numeric) = 1.1386518638529988784455647574607 absolute error = 1.476710368196518e-16 relative error = 1.2968936468426692112597494526198e-14 % h = 0.0001 y1[1] (analytic) = 1.1386518638529987307745279378089 y1[1] (numeric) = 1.1386518866155550030248973167 absolute error = 2.27625562722503693788911e-08 relative error = 1.9990795250820440103884328086826e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1163.5MB, alloc=4.6MB, time=130.95 NO POLE NO POLE x[1] = 0.1392 y2[1] (analytic) = 1.1387508972779704963334294317869 y2[1] (numeric) = 1.138750897277970646285780227854 absolute error = 1.499523507960671e-16 relative error = 1.3168143371347311133030729172798e-14 % h = 0.0001 y1[1] (analytic) = 1.1387508972779704963334294317869 y1[1] (numeric) = 1.1387509201570515086948002338222 absolute error = 2.28790810123613708020353e-08 relative error = 2.0091383521234283561326161638102e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1167.3MB, alloc=4.6MB, time=131.45 NO POLE NO POLE x[1] = 0.1393 y2[1] (analytic) = 1.1388499293154332902688834393616 y2[1] (numeric) = 1.1388499293154334425318407541386 absolute error = 1.522629573147770e-16 relative error = 1.3369887760918842111152025900380e-14 % h = 0.0001 y1[1] (analytic) = 1.1388499293154332902688834393616 y1[1] (numeric) = 1.1388499523113359134187789697722 absolute error = 2.29959026231498955304106e-08 relative error = 2.0192214997960981315376691879375e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1171.1MB, alloc=4.6MB, time=131.98 NO POLE NO POLE x[1] = 0.1394 y2[1] (analytic) = 1.138948959964396792207087288157 y2[1] (numeric) = 1.1389489599643969468102437655442 absolute error = 1.546031564773872e-16 relative error = 1.3574195324979272905062243834144e-14 % h = 0.0001 y1[1] (analytic) = 1.138948959964396792207087288157 y1[1] (numeric) = 1.1389489830774178914923531730522 absolute error = 2.31130210992852658848952e-08 relative error = 2.0293289613265700766606833716116e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1174.9MB, alloc=4.6MB, time=132.49 x[1] = 0.1395 y2[1] (analytic) = 1.1390479892238706956592312141989 y2[1] (numeric) = 1.1390479892238708526324818992975 absolute error = 1.569732506850986e-16 relative error = 1.3781091944340088167678383188899e-14 % h = 0.0001 y1[1] (analytic) = 1.1390479892238706956592312141989 y1[1] (numeric) = 1.139048012454307131090095781554 absolute error = 2.32304364354308645673551e-08 relative error = 2.0394607299434079983731008258899e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1396 y2[1] (analytic) = 1.1391470170928647080314014267945 y2[1] (numeric) = 1.1391470170928648674049460772138 absolute error = 1.593735446504193e-16 relative error = 1.3990603693730865181907101334748e-14 % h = 0.0001 y1[1] (analytic) = 1.1391470170928647080314014267945 y1[1] (numeric) = 1.1391470404410133342755361824504 absolute error = 2.33481486262441347556559e-08 relative error = 2.0496167988772220170433024604667e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1178.7MB, alloc=4.6MB, time=133.01 NO POLE NO POLE x[1] = 0.1397 y2[1] (analytic) = 1.1392460435703885506344830344634 y2[1] (numeric) = 1.1392460435703887124388284433693 absolute error = 1.618043454089059e-16 relative error = 1.4202756842745952912168376643401e-14 % h = 0.0001 y1[1] (analytic) = 1.1392460435703885506344830344634 y1[1] (numeric) = 1.1392460670365462170110632332269 absolute error = 2.34661576663765801987635e-08 relative error = 2.0597971613606678135346539057385e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1182.5MB, alloc=4.6MB, time=133.51 NO POLE NO POLE x[1] = 0.1398 y2[1] (analytic) = 1.1393450686554519586940628318206 y2[1] (numeric) = 1.1393450686554521229600251627553 absolute error = 1.642659623309347e-16 relative error = 1.4417577856793285696779522438335e-14 % h = 0.0001 y1[1] (analytic) = 1.1393450686554519586940628318206 y1[1] (numeric) = 1.1393450922399155091678281437542 absolute error = 2.35844635504737653119336e-08 relative error = 2.0700018106284458765188498812022e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1186.3MB, alloc=4.6MB, time=134.06 NO POLE NO POLE x[1] = 0.1399 y2[1] (analytic) = 1.1394440923470646813603319473122 y2[1] (numeric) = 1.1394440923470648481190390808151 absolute error = 1.667587071335029e-16 relative error = 1.4635093398045339089027192623608e-14 % h = 0.0001 y1[1] (analytic) = 1.1394440923470646813603319473122 y1[1] (numeric) = 1.1394441160501309545356472193031 absolute error = 2.37030662731753152719909e-08 relative error = 2.0802307399173007501044855612019e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.14 y2[1] (analytic) = 1.1395431146442364817179883517054 y2[1] (numeric) = 1.1395431146442366510008822437643 absolute error = 1.692828938920589e-16 relative error = 1.4855330326392147595186633080878e-14 % h = 0.0001 y1[1] (analytic) = 1.1395431146442364817179883517054 y1[1] (numeric) = 1.1395431384662023108329044644023 absolute error = 2.38219658291149161126969e-08 relative error = 2.0904839424660202817806080055636e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1190.2MB, alloc=4.6MB, time=134.57 NO POLE NO POLE x[1] = 0.1401 y2[1] (analytic) = 1.139642135545977136796139227233 y2[1] (numeric) = 1.1396421355459773086349782795957 absolute error = 1.718388390523627e-16 relative error = 1.5078315700396470832652446796899e-14 % h = 0.0001 y1[1] (analytic) = 1.139642135545977136796139227233 y1[1] (numeric) = 1.1396421594871393497164540474402 absolute error = 2.39411622129203148202072e-08 relative error = 2.1007614115154348706751763638060e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1194.0MB, alloc=4.6MB, time=135.11 NO POLE NO POLE x[1] = 0.1402 y2[1] (analytic) = 1.1397411550512964375782031972945 y2[1] (numeric) = 1.1397411550512966120050646396703 absolute error = 1.744268614423758e-16 relative error = 1.5304076778251054188573558795292e-14 % h = 0.0001 y1[1] (analytic) = 1.1397411550512964375782031972945 y1[1] (numeric) = 1.1397411791119518567915226259118 absolute error = 2.40606554192133194286173e-08 relative error = 2.1110631403084167161281928824747e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1197.8MB, alloc=4.6MB, time=135.64 NO POLE NO POLE x[1] = 0.1403 y2[1] (analytic) = 1.1398401731592041890118124166132 y2[1] (numeric) = 1.1398401731592043660590947007943 absolute error = 1.770472822841811e-16 relative error = 1.5532641018738026601734979071135e-14 % h = 0.0001 y1[1] (analytic) = 1.1398401731592041890118124166132 y1[1] (numeric) = 1.1398401973396496316216115322117 absolute error = 2.41804454426097991155985e-08 relative error = 2.1213891220898790665794949885384e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1201.6MB, alloc=4.6MB, time=136.15 x[1] = 0.1404 y2[1] (analytic) = 1.1399391898687102100187145217521 y2[1] (numeric) = 1.1399391898687103897191397276836 absolute error = 1.797004252059315e-16 relative error = 1.5764036082190320157769269672521e-14 % h = 0.0001 y1[1] (analytic) = 1.1399391898687102100187145217521 y1[1] (numeric) = 1.1399392141692424877383988198737 absolute error = 2.43005322777196842981216e-08 relative error = 2.1317393501067754687708565808977e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1405 y2[1] (analytic) = 1.1400382051788243335046744418877 y2[1] (numeric) = 1.1400382051788245158912906957176 absolute error = 1.823866162538299e-16 relative error = 1.5998289831455347133454520620850e-14 % h = 0.0001 y1[1] (analytic) = 1.1400382051788243335046744418877 y1[1] (numeric) = 1.1400382295997402526516411701587 absolute error = 2.44209159191469667282710e-08 relative error = 2.1421138176080990172624766925936e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1205.4MB, alloc=4.6MB, time=136.65 NO POLE NO POLE x[1] = 0.1406 y2[1] (analytic) = 1.1401372190885564063693760697444 y2[1] (numeric) = 1.1401372190885565914755599738815 absolute error = 1.851061839041371e-16 relative error = 1.6235430332860626168069599524832e-14 % h = 0.0001 y1[1] (analytic) = 1.1401372190885564063693760697444 y1[1] (numeric) = 1.1401372436301527678590756588912 absolute error = 2.45415963614896995891468e-08 relative error = 2.1525125178448816042634950641970e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1209.2MB, alloc=4.6MB, time=137.16 NO POLE NO POLE x[1] = 0.1407 y2[1] (analytic) = 1.1402362315969162895163237925894 y2[1] (numeric) = 1.1402362315969164773757828677998 absolute error = 1.878594590752104e-16 relative error = 1.6475485857181601971173014594166e-14 % h = 0.0001 y1[1] (analytic) = 1.1402362315969162895163237925894 y1[1] (numeric) = 1.1402362562594898888563213834461 absolute error = 2.46625735993399975908567e-08 relative error = 2.1629354440701931697765427399188e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1213.1MB, alloc=4.6MB, time=137.67 NO POLE NO POLE x[1] = 0.1408 y2[1] (analytic) = 1.1403352427029138578627438831892 y2[1] (numeric) = 1.1403352427029140485095190227611 absolute error = 1.906467751395719e-16 relative error = 1.6718484880611569571178232994539e-14 % h = 0.0001 y1[1] (analytic) = 1.1403352427029138578627438831892 y1[1] (numeric) = 1.1403352674867614851467809497859 absolute error = 2.47838476272840370665967e-08 relative error = 2.1733825895391409520560902264641e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1409 y2[1] (analytic) = 1.1404342524055590003494857506294 y2[1] (numeric) = 1.1404342524055591938179536866352 absolute error = 1.934684679360058e-16 relative error = 1.6964456085733640476800687000698e-14 % h = 0.0001 y1[1] (analytic) = 1.1404342524055590003494857506294 y1[1] (numeric) = 1.1404342773109774402515418194503 absolute error = 2.49054184399020560688209e-08 relative error = 2.1838539475088687383804698872031e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1216.9MB, alloc=4.6MB, time=138.17 NO POLE NO POLE x[1] = 0.141 y2[1] (analytic) = 1.1405332607038616199509230508977 y2[1] (numeric) = 1.1405332607038618162757988325838 absolute error = 1.963248757816861e-16 relative error = 1.7213428362494872291462323943855e-14 % h = 0.0001 y1[1] (analytic) = 1.1405332607038616199509230508977 y1[1] (numeric) = 1.1405332857311476517192775163981 absolute error = 2.50272860317683544655004e-08 relative error = 2.1943495112385561161374230023860e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1220.7MB, alloc=4.6MB, time=138.69 NO POLE NO POLE x[1] = 0.1411 y2[1] (analytic) = 1.1406322675968316336848546571318 y2[1] (numeric) = 1.1406322675968318329011941414655 absolute error = 1.992163394843337e-16 relative error = 1.7465430809182472826841248494416e-14 % h = 0.0001 y1[1] (analytic) = 1.1406322675968316336848546571318 y1[1] (numeric) = 1.1406322927462820311361486936035 absolute error = 2.51494503974512940364717e-08 relative error = 2.2048692739894177242230570742519e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1224.5MB, alloc=4.6MB, time=139.19 NO POLE NO POLE x[1] = 0.1412 y2[1] (analytic) = 1.1407312730834789726224054894337 y2[1] (numeric) = 1.1407312730834791747656078438365 absolute error = 2.021432023544028e-16 relative error = 1.7720492733402068720397738484556e-14 % h = 0.0001 y1[1] (analytic) = 1.1407312730834789726224054894337 y1[1] (numeric) = 1.1407312983553905041357040593066 absolute error = 2.52719115315132985698729e-08 relative error = 2.2154132290247025047539149189156e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1228.3MB, alloc=4.6MB, time=139.70 x[1] = 0.1413 y2[1] (analytic) = 1.1408302771628135818979272041496 y2[1] (numeric) = 1.1408302771628137870037374214474 absolute error = 2.051058102172978e-16 relative error = 1.7978643653058142520860856312264e-14 % h = 0.0001 y1[1] (analytic) = 1.1408302771628135818979272041496 y1[1] (numeric) = 1.1408303025574830104087811628205 absolute error = 2.53946694285108539586709e-08 relative error = 2.2259813696096929550922867819086e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1414 y2[1] (analytic) = 1.1409292798338454207188987425185 y2[1] (numeric) = 1.1409292798338456288234101681375 absolute error = 2.081045114256190e-16 relative error = 1.8239913297336487954838628159065e-14 % h = 0.0001 y1[1] (analytic) = 1.1409292798338454207188987425185 y1[1] (numeric) = 1.1409293053515695037134070397946 absolute error = 2.55177240829945082972761e-08 relative error = 2.2365736890117043801843093585899e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1232.1MB, alloc=4.6MB, time=140.21 NO POLE NO POLE x[1] = 0.1415 y2[1] (analytic) = 1.141028281095584462375826738589 y2[1] (numeric) = 1.1410282810955846735154836100278 absolute error = 2.111396568714388e-16 relative error = 1.8504331607688831168992773993668e-14 % h = 0.0001 y1[1] (analytic) = 1.141028281095584462375826738589 y1[1] (numeric) = 1.1410283067366599518846987168357 absolute error = 2.56410754895088719782467e-08 relative error = 2.2471901805000841452108866787139e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1235.9MB, alloc=4.6MB, time=140.72 NO POLE NO POLE x[1] = 0.1416 y2[1] (analytic) = 1.141127280947040694252145786306 y2[1] (numeric) = 1.1411272809470409084637457849129 absolute error = 2.142115999986069e-16 relative error = 1.8771928738819485215300949819243e-14 % h = 0.0001 y1[1] (analytic) = 1.141127280947040694252145786306 y1[1] (numeric) = 1.1411273067117643368447635753883 absolute error = 2.57647236425926177890823e-08 relative error = 2.2578308373462109285512574479210e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1239.8MB, alloc=4.6MB, time=141.22 NO POLE NO POLE x[1] = 0.1417 y2[1] (analytic) = 1.1412262793872241178341185656682 y2[1] (numeric) = 1.1412262793872243351548153807537 absolute error = 2.173206968150855e-16 relative error = 1.9042735059674124201769144586835e-14 % h = 0.0001 y1[1] (analytic) = 1.1412262793872241178341185656682 y1[1] (numeric) = 1.1412263052758926546125995747746 absolute error = 2.58886685367784810091064e-08 relative error = 2.2684956528234939750590247742580e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1418 y2[1] (analytic) = 1.1413252764151447487207358278571 y2[1] (numeric) = 1.1413252764151449691880417331711 absolute error = 2.204673059053140e-16 relative error = 1.9316781154430632044944258221569e-14 % h = 0.0001 y1[1] (analytic) = 1.1413252764151447487207358278571 y1[1] (numeric) = 1.141325302428054915313995334295 absolute error = 2.60129101665932595064379e-08 relative error = 2.2791846202073723496505081204193e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1243.6MB, alloc=4.6MB, time=141.74 NO POLE NO POLE x[1] = 0.1419 y2[1] (analytic) = 1.141424272029812616633616239239 y2[1] (numeric) = 1.1414242720298128402854046818426 absolute error = 2.236517884426036e-16 relative error = 1.9594097823492059640822721941099e-14 % h = 0.0001 y1[1] (analytic) = 1.141424272029812616633616239239 y1[1] (numeric) = 1.1414242981672611431914300742907 absolute error = 2.61374485265578138350517e-08 relative error = 2.2898977327753141912052773957966e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1247.4MB, alloc=4.6MB, time=142.24 NO POLE NO POLE x[1] = 0.142 y2[1] (analytic) = 1.1415232662302377654269060841403 y2[1] (numeric) = 1.141523266230237992301414285702 absolute error = 2.268745082015617e-16 relative error = 1.9874716084481680446287767115538e-14 % h = 0.0001 y1[1] (analytic) = 1.1415232662302377654269060841403 y1[1] (numeric) = 1.1415232924925213766139734160689 absolute error = 2.62622836111870673319286e-08 relative error = 2.3006349838068159667787379360075e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1251.2MB, alloc=4.6MB, time=142.76 NO POLE NO POLE x[1] = 0.1421 y2[1] (analytic) = 1.141622259015430253097178826298 y2[1] (numeric) = 1.1416222590154304832330103968433 absolute error = 2.301358315705453e-16 relative error = 2.0158667173240073154017852086981e-14 % h = 0.0001 y1[1] (analytic) = 1.141622259015430253097178826298 y1[1] (numeric) = 1.1416222854028456680871850405919 absolute error = 2.63874154149900062142939e-08 relative error = 2.3113963665834017261265651090911e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1255.0MB, alloc=4.6MB, time=143.26 x[1] = 0.1422 y2[1] (analytic) = 1.1417212503844001517933345288859 y2[1] (numeric) = 1.1417212503844003852294620930305 absolute error = 2.334361275641446e-16 relative error = 2.0445982544824335367503808207519e-14 % h = 0.0001 y1[1] (analytic) = 1.1417212503844001517933345288859 y1[1] (numeric) = 1.141721276897244084263014205831 absolute error = 2.65128439324696796769451e-08 relative error = 2.3221818743886223565408749904219e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1423 y2[1] (analytic) = 1.1418202403361575478264991330167 y2[1] (numeric) = 1.1418202403361577846022669687133 absolute error = 2.367757678356966e-16 relative error = 2.0736693874509409499621526734606e-14 % h = 0.0001 y1[1] (analytic) = 1.1418202403361575478264991330167 y1[1] (numeric) = 1.1418202669747267059496991226861 absolute error = 2.66385691581231999896694e-08 relative error = 2.3329915005080548379980438772147e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1258.8MB, alloc=4.6MB, time=143.79 NO POLE NO POLE x[1] = 0.1424 y2[1] (analytic) = 1.1419192288697125416799235946232 y2[1] (numeric) = 1.1419192288697127818350502844506 absolute error = 2.401551266898274e-16 relative error = 2.1030833058791405802295820926022e-14 % h = 0.0001 y1[1] (analytic) = 1.1419192288697125416799235946232 y1[1] (numeric) = 1.1419192556343036281216661893723 absolute error = 2.67645910864417425947491e-08 relative error = 2.3438252382293014986178617633685e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1262.6MB, alloc=4.6MB, time=144.31 NO POLE NO POLE x[1] = 0.1425 y2[1] (analytic) = 1.1420182159840752480188828796172 y2[1] (numeric) = 1.1420182159840754915934639746422 absolute error = 2.435745810950250e-16 relative error = 2.1328432216393078963980490394430e-14 % h = 0.0001 y1[1] (analytic) = 1.1420182159840752480188828796172 y1[1] (numeric) = 1.1420182428749849599294290841742 absolute error = 2.68909097119105462045570e-08 relative error = 2.3546830808419892704340553471225e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1266.5MB, alloc=4.6MB, time=144.82 NO POLE NO POLE x[1] = 0.1426 y2[1] (analytic) = 1.1421172016782557957005748172285 y2[1] (numeric) = 1.14211720167825604273508551347 absolute error = 2.470345106962415e-16 relative error = 2.1629523689271360688935828994527e-14 % h = 0.0001 y1[1] (analytic) = 1.1421172016782557957005748172285 y1[1] (numeric) = 1.1421172286957808247094877164689 absolute error = 2.70175250290089128992404e-08 relative error = 2.3655650216377689454759096471956e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1427 y2[1] (analytic) = 1.1422161859512643277840188114248 y2[1] (numeric) = 1.1422161859512645783193166389496 absolute error = 2.505352978275248e-16 relative error = 2.1934140043626955798983600329732e-14 % h = 0.0001 y1[1] (analytic) = 1.1422161859512643277840188114248 y1[1] (numeric) = 1.142216213095701359994227035919 absolute error = 2.71444370322102082244942e-08 relative error = 2.3764710539103144321608838105020e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1270.3MB, alloc=4.6MB, time=145.34 NO POLE NO POLE x[1] = 0.1428 y2[1] (analytic) = 1.142315168802111001539954410313 y2[1] (numeric) = 1.1423151688021112556172819349936 absolute error = 2.540773275246806e-16 relative error = 2.2242314070916070672372696698569e-14 % h = 0.0001 y1[1] (analytic) = 1.142315168802111001539954410313 y1[1] (numeric) = 1.1423151960737567175218156997365 absolute error = 2.72716457159818612894235e-08 relative error = 2.3874011709553220119981079890862e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1274.1MB, alloc=4.6MB, time=145.85 NO POLE NO POLE x[1] = 0.1429 y2[1] (analytic) = 1.142414150229805988460739733424 y2[1] (numeric) = 1.1424141502298062461217272713867 absolute error = 2.576609875379627e-16 relative error = 2.2554078788864097691807898548351e-14 % h = 0.0001 y1[1] (analytic) = 1.142414150229805988460739733424 y1[1] (numeric) = 1.1424141776289570632461045979183 absolute error = 2.73991510747853648644943e-08 relative error = 2.3983553660705095966024906575868e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1277.9MB, alloc=4.6MB, time=146.39 NO POLE NO POLE x[1] = 0.143 y2[1] (analytic) = 1.1425131302333594742702497567803 y2[1] (numeric) = 1.1425131302333597355569181015753 absolute error = 2.612866683447950e-16 relative error = 2.2869467442481552138295261188183e-14 % h = 0.0001 y1[1] (analytic) = 1.1425131302333594742702497567803 y1[1] (numeric) = 1.142513157760312577346525236355 absolute error = 2.75269531030762754795747e-08 relative error = 2.4093336325556159850194985065853e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1281.7MB, alloc=4.6MB, time=146.89 NO POLE NO POLE x[1] = 0.1431 y2[1] (analytic) = 1.1426121088117816589337744556496 y2[1] (numeric) = 1.1426121088117819238885376181706 absolute error = 2.649547631625210e-16 relative error = 2.3188513505081892619534877367154e-14 % h = 0.0001 y1[1] (analytic) = 1.1426121088117816589337744556496 y1[1] (numeric) = 1.1426121364668334542379879777131 absolute error = 2.76550517953042135220635e-08 relative error = 2.4203359637124001213601896272905e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1432 y2[1] (analytic) = 1.1427110859640827566679168048832 y2[1] (numeric) = 1.1427110859640830253335847660678 absolute error = 2.686656679611846e-16 relative error = 2.3511250679301556466819890745920e-14 % h = 0.0001 y1[1] (analytic) = 1.1427110859640827566679168048832 y1[1] (numeric) = 1.1427111137475299025807801399923 absolute error = 2.77834471459128633351091e-08 relative error = 2.4313623528446403527466060370544e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1285.5MB, alloc=4.6MB, time=147.42 NO POLE NO POLE x[1] = 0.1433 y2[1] (analytic) = 1.1428100616892729959504906367419 y2[1] (numeric) = 1.1428100616892732683702721130818 absolute error = 2.724197814763399e-16 relative error = 2.3837712898122007532889396815860e-14 % h = 0.0001 y1[1] (analytic) = 1.1428100616892729959504906367419 y1[1] (numeric) = 1.1428100896014121452904639526589 absolute error = 2.79121391493399733159170e-08 relative error = 2.4424127932581336875672289815531e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1289.3MB, alloc=4.6MB, time=147.93 NO POLE NO POLE x[1] = 0.1434 y2[1] (analytic) = 1.1429090359863626195304183561096 y2[1] (numeric) = 1.1429090359863628957479235780002 absolute error = 2.762175052218906e-16 relative error = 2.4167934325893847702124630477560e-14 % h = 0.0001 y1[1] (analytic) = 1.1429090359863626195304183561096 y1[1] (numeric) = 1.142909064027490419547774370256 absolute error = 2.80411278000173560141464e-08 relative error = 2.4534872782606950540423931226194e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1293.2MB, alloc=4.6MB, time=148.51 NO POLE NO POLE x[1] = 0.1435 y2[1] (analytic) = 1.1430080088543618844376285129959 y2[1] (numeric) = 1.1430080088543621644968720159551 absolute error = 2.800592435029592e-16 relative error = 2.4501949359363008393672842443668e-14 % h = 0.0001 y1[1] (analytic) = 1.1430080088543618844376285129959 y1[1] (numeric) = 1.1430080370247749768085167433916 absolute error = 2.81704130923708882303957e-08 relative error = 2.4645858011621565590994945272084e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1436 y2[1] (analytic) = 1.1431069802922810619929532322282 y2[1] (numeric) = 1.1431069802922813459383566610144 absolute error = 2.839454034287862e-16 relative error = 2.4839792628699038326928170493352e-14 % h = 0.0001 y1[1] (analytic) = 1.1431069802922810619929532322282 y1[1] (numeric) = 1.1431070085922760828134643470058 absolute error = 2.82999950208205111147776e-08 relative error = 2.4757083552743667475579061965807e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1297.0MB, alloc=4.6MB, time=149.05 NO POLE NO POLE x[1] = 0.1437 y2[1] (analytic) = 1.1432059502991304378180255002359 y2[1] (numeric) = 1.1432059502991307256944204258938 absolute error = 2.878763949256579e-16 relative error = 2.5181498998525363850369163352322e-14 % h = 0.0001 y1[1] (analytic) = 1.1432059502991304378180255002359 y1[1] (numeric) = 1.143205978729004017598255765818 absolute error = 2.84298735797802302655821e-08 relative error = 2.4868549339111898616233049750798e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1300.8MB, alloc=4.6MB, time=149.64 NO POLE NO POLE x[1] = 0.1438 y2[1] (analytic) = 1.143304918873920311845176308825 y2[1] (numeric) = 1.1433049188739206036978070586903 absolute error = 2.918526307498653e-16 relative error = 2.5527103568951739336887539606749e-14 % h = 0.0001 y1[1] (analytic) = 1.143304918873920311845176308825 y1[1] (numeric) = 1.1433049474339690755032921368549 absolute error = 2.85600487636581158280299e-08 relative error = 2.4980255303885051006914812155599e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1304.6MB, alloc=4.6MB, time=150.23 NO POLE NO POLE x[1] = 0.1439 y2[1] (analytic) = 1.1434038860156609983273316558469 y2[1] (numeric) = 1.1434038860156612942018581565387 absolute error = 2.958745265006918e-16 relative error = 2.5876641676608685199086047855668e-14 % h = 0.0001 y1[1] (analytic) = 1.1434038860156609983273316558469 y1[1] (numeric) = 1.1434039147061815651836342489611 absolute error = 2.86905205668563025931142e-08 relative error = 2.5092201380242058814613089438765e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1308.4MB, alloc=4.6MB, time=150.78 NO POLE NO POLE x[1] = 0.144 y2[1] (analytic) = 1.143502851723362825847909402661 y2[1] (numeric) = 1.1435028517233631257904100360915 absolute error = 2.999425006334305e-16 relative error = 2.6230148895683982315149133251628e-14 % h = 0.0001 y1[1] (analytic) = 1.143502851723362825847909402661 y1[1] (numeric) = 1.1435028805446518096188994991923 absolute error = 2.88212889837709900965313e-08 relative error = 2.5204387501381990983567643459482e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1441 y2[1] (analytic) = 1.143601815996036137330715988292 y2[1] (numeric) = 1.1436018159960364413876904607235 absolute error = 3.040569744724315e-16 relative error = 2.6587661038961256631176874142635e-14 % h = 0.0001 y1[1] (analytic) = 1.143601815996036137330715988292 y1[1] (numeric) = 1.1436018449483901461231587059927 absolute error = 2.89523540087924427177007e-08 relative error = 2.5316813600524043842579066880125e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1312.2MB, alloc=4.6MB, time=151.30 NO POLE NO POLE x[1] = 0.1442 y2[1] (analytic) = 1.143700778832691290049843000184 y2[1] (numeric) = 1.1437007788326915982682152243627 absolute error = 3.082183722241787e-16 relative error = 2.6949214158860608990710037694021e-14 % h = 0.0001 y1[1] (analytic) = 1.143700778832691290049843000184 y1[1] (numeric) = 1.1437008079164069263548327790579 absolute error = 2.90837156363049897788739e-08 relative error = 2.5429479610907533715406046635455e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1316.0MB, alloc=4.6MB, time=151.83 NO POLE NO POLE x[1] = 0.1443 y2[1] (analytic) = 1.1437997402323386556395636014508 y2[1] (numeric) = 1.1437997402323389680666845918473 absolute error = 3.124271209903965e-16 relative error = 2.7314844548481323958512341108212e-14 % h = 0.0001 y1[1] (analytic) = 1.1437997402323386556395636014508 y1[1] (numeric) = 1.1437997694477125163265892457834 absolute error = 2.92153738606870256443326e-08 relative error = 2.5542385465791889534249224289523e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1319.9MB, alloc=4.6MB, time=152.35 NO POLE NO POLE x[1] = 0.1444 y2[1] (analytic) = 1.1438987001939886201042288145253 y2[1] (numeric) = 1.143898700193988936787879595711 absolute error = 3.166836507811857e-16 relative error = 2.7684588742646595220067056619869e-14 % h = 0.0001 y1[1] (analytic) = 1.1438987001939886201042288145253 y1[1] (numeric) = 1.1438987295413172964152386342011 absolute error = 2.93473286763110098196758e-08 relative error = 2.5655531098456645456319747216856e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1445 y2[1] (analytic) = 1.1439976587166515838281636611077 y2[1] (numeric) = 1.1439976587166519048165581892971 absolute error = 3.209883945281894e-16 relative error = 2.8058483518950336300712789182588e-14 % h = 0.0001 y1[1] (analytic) = 1.1439976587166515838281636611077 y1[1] (numeric) = 1.1439976881962316613716307123033 absolute error = 2.94795800775434670511956e-08 relative error = 2.5768916442201433483490867868223e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1323.7MB, alloc=4.6MB, time=152.86 NO POLE NO POLE x[1] = 0.1446 y2[1] (analytic) = 1.144096615799337961585563158314 y2[1] (numeric) = 1.1440966157993382869273512561024 absolute error = 3.253417880977884e-16 relative error = 2.8436565898806031674129941349219e-14 % h = 0.0001 y1[1] (analytic) = 1.144096615799337961585563158314 y1[1] (numeric) = 1.1440966454114660203305505836563 absolute error = 2.96121280587449874253423e-08 relative error = 2.5882541430345976085031648526020e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1327.5MB, alloc=4.6MB, time=153.40 NO POLE NO POLE x[1] = 0.1447 y2[1] (analytic) = 1.1441955714410581825503881709255 y2[1] (numeric) = 1.1441955714410585122946584752523 absolute error = 3.297442703043268e-16 relative error = 2.8818873148497688238275331266850e-14 % h = 0.0001 y1[1] (analytic) = 1.1441955714410581825503881709255 y1[1] (numeric) = 1.1441956011860307968206146392046 absolute error = 2.97449726142702264682791e-08 relative error = 2.5996405996230078823421567180252e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1331.3MB, alloc=4.6MB, time=153.91 NO POLE NO POLE x[1] = 0.1448 y2[1] (analytic) = 1.1442945256408226903062611196413 y2[1] (numeric) = 1.1442945256408230245025440430076 absolute error = 3.341962829233663e-16 relative error = 2.9205442780232754837296521726834e-14 % h = 0.0001 y1[1] (analytic) = 1.1442945256408226903062611196413 y1[1] (numeric) = 1.1442945555189364287741663651661 absolute error = 2.98781137384679052455248e-08 relative error = 2.6110510073213622983243160344409e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1335.1MB, alloc=4.6MB, time=154.42 NO POLE NO POLE x[1] = 0.1449 y2[1] (analytic) = 1.144393478397641942856361545234 y2[1] (numeric) = 1.1443934783976422815546322502045 absolute error = 3.386982707049705e-16 relative error = 2.9596312553197122270704319795312e-14 % h = 0.0001 y1[1] (analytic) = 1.144393478397641942856361545234 y1[1] (numeric) = 1.1443935084091933685371720069197 absolute error = 3.00115514256808104616857e-08 relative error = 2.6224853594676558203152287089799e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.145 y2[1] (analytic) = 1.1444924297105264126333215285089 y2[1] (numeric) = 1.1444924297105267558840029155287 absolute error = 3.432506813870198e-16 relative error = 2.9991520474612254990945808852325e-14 % h = 0.0001 y1[1] (analytic) = 1.1444924297105264126333215285089 y1[1] (numeric) = 1.1444924598558120828791160887868 absolute error = 3.01452856702457945602779e-08 relative error = 2.6339436494018895110925598631614e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1338.9MB, alloc=4.6MB, time=154.94 NO POLE NO POLE x[1] = 0.1451 y2[1] (analytic) = 1.1445913795784865865091209659703 y2[1] (numeric) = 1.1445913795784869343630866745246 absolute error = 3.478539657085543e-16 relative error = 3.0391104800794226079478088951853e-14 % h = 0.0001 y1[1] (analytic) = 1.1445913795784865865091209659703 y1[1] (numeric) = 1.1445914098578030530028967896068 absolute error = 3.02793164664937758236365e-08 relative error = 2.6454258704660697961580691585903e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1342.8MB, alloc=4.6MB, time=155.45 NO POLE NO POLE x[1] = 0.1452 y2[1] (analytic) = 1.144690328000532965804982701093 y2[1] (numeric) = 1.1446903280005333183135601242408 absolute error = 3.525085774231478e-16 relative error = 3.0795104038214925200789105255084e-14 % h = 0.0001 y1[1] (analytic) = 1.144690328000532965804982701093 y1[1] (numeric) = 1.1446903584141767745547211740084 absolute error = 3.04136438087497384729154e-08 relative error = 2.6569320160042077278570715822147e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1346.6MB, alloc=4.6MB, time=155.97 NO POLE NO POLE x[1] = 0.1453 y2[1] (analytic) = 1.1447892749756760663012675111016 y2[1] (numeric) = 1.1447892749756764235162408234124 absolute error = 3.572149733123108e-16 relative error = 3.1203556944565254815375719674362e-14 % h = 0.0001 y1[1] (analytic) = 1.1447892749756760663012675111016 y1[1] (numeric) = 1.1447893055239437576340002792775 absolute error = 3.05482676913327327681759e-08 relative error = 2.6684620793623182498050402001510e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1350.4MB, alloc=4.6MB, time=156.47 x[1] = 0.1454 y2[1] (analytic) = 1.1448882205029264182473689491593 y2[1] (numeric) = 1.1448882205029267802209821480822 absolute error = 3.619736131989229e-16 relative error = 3.1616502529820348422458720884985e-14 % h = 0.0001 y1[1] (analytic) = 1.1448882205029264182473689491593 y1[1] (numeric) = 1.1448882511861145268032440577226 absolute error = 3.06831881085558751085633e-08 relative error = 2.6800160538884194616211349204947e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1455 y2[1] (analytic) = 1.1449871645812945663716080418653 y2[1] (numeric) = 1.1449871645812949331565680025607 absolute error = 3.667849599606954e-16 relative error = 3.2033980057306879514879048671445e-14 % h = 0.0001 y1[1] (analytic) = 1.1449871645812945663716080418653 y1[1] (numeric) = 1.1449871953996996210979561744391 absolute error = 3.08184050547263481325738e-08 relative error = 2.6915939329325318839687121770333e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1354.2MB, alloc=4.6MB, time=156.98 NO POLE NO POLE x[1] = 0.1456 y2[1] (analytic) = 1.1450861072097910698911278419633 y2[1] (numeric) = 1.1450861072097914415406073856268 absolute error = 3.716494795436635e-16 relative error = 3.2456029044772407619717699205645e-14 % h = 0.0001 y1[1] (analytic) = 1.1450861072097910698911278419633 y1[1] (numeric) = 1.1450861381637095940365286603733 absolute error = 3.09539185241454008184100e-08 relative error = 2.7031957098466777239025210659410e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1358.0MB, alloc=4.6MB, time=157.50 NO POLE NO POLE x[1] = 0.1457 y2[1] (analytic) = 1.1451850483874265025217878361618 y2[1] (numeric) = 1.1451850483874268790894288118697 absolute error = 3.765676409757079e-16 relative error = 3.2882689265456742764225609623519e-14 % h = 0.0001 y1[1] (analytic) = 1.1451850483874265025217878361618 y1[1] (numeric) = 1.145185079477155013630136420587 absolute error = 3.10897285111083485844252e-08 relative error = 2.7148213779848801405224575599625e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1361.8MB, alloc=4.6MB, time=158.07 NO POLE NO POLE x[1] = 0.1458 y2[1] (analytic) = 1.1452839881132114524880582079678 y2[1] (numeric) = 1.1452839881132118340279745880736 absolute error = 3.815399163801058e-16 relative error = 3.3314000749165327182587602906161e-14 % h = 0.0001 y1[1] (analytic) = 1.1452839881132114524880582079678 y1[1] (numeric) = 1.1452840193390464623926315976241 absolute error = 3.12258350099045733896563e-08 relative error = 2.7264709307031625109337135643513e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1459 y2[1] (analytic) = 1.145382926386156522532913955433 y2[1] (numeric) = 1.1453829263861569090996949445455 absolute error = 3.865667809891125e-16 relative error = 3.3750003783344737848441532027328e-14 % h = 0.0001 y1[1] (analytic) = 1.145382926386156522532913955433 y1[1] (numeric) = 1.1453829577483945373504377898803 absolute error = 3.13622380148175238344473e-08 relative error = 2.7381443613595476965133497440162e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1365.6MB, alloc=4.6MB, time=158.63 NO POLE NO POLE x[1] = 0.146 y2[1] (analytic) = 1.1454818632052723299277288637166 y2[1] (numeric) = 1.1454818632052727215764420212881 absolute error = 3.916487131575715e-16 relative error = 3.4190738914160125258255341443884e-14 % h = 0.0001 y1[1] (analytic) = 1.1454818632052723299277288637166 y1[1] (numeric) = 1.1454818947042098500524441248763 absolute error = 3.14989375201247152611597e-08 relative error = 2.7498416633140573094828234010512e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1369.5MB, alloc=4.6MB, time=159.15 NO POLE NO POLE x[1] = 0.1461 y2[1] (analytic) = 1.1455807985695695064821693323627 y2[1] (numeric) = 1.1455807985695699032683637089181 absolute error = 3.967861943765554e-16 relative error = 3.4636246947574788102964767026304e-14 % h = 0.0001 y1[1] (analytic) = 1.1455807985695695064821693323627 y1[1] (numeric) = 1.1455808302055030265798991873365 absolute error = 3.16359335200977298549738e-08 relative error = 2.7615628299287109797866751307416e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1373.3MB, alloc=4.6MB, time=159.67 NO POLE NO POLE x[1] = 0.1462 y2[1] (analytic) = 1.1456797324780586985540880571958 y2[1] (numeric) = 1.1456797324780591005337973442309 absolute error = 4.019797092870351e-16 relative error = 3.5086568950431664362225413946321e-14 % h = 0.0001 y1[1] (analytic) = 1.1456797324780586985540880571958 y1[1] (numeric) = 1.1456797642512847075563048019737 absolute error = 3.17732260090022167447779e-08 relative error = 2.7733078545675256222769668293211e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1377.1MB, alloc=4.6MB, time=160.17 x[1] = 0.1463 y2[1] (analytic) = 1.1457786649297505670594175667338 y2[1] (numeric) = 1.1457786649297509742891632603138 absolute error = 4.072297456935800e-16 relative error = 3.5541746251536973347194018206335e-14 % h = 0.0001 y1[1] (analytic) = 1.1457786649297505670594175667338 y1[1] (numeric) = 1.1457786968405655481573096708805 absolute error = 3.19108149810978921041467e-08 relative error = 2.7850767305965147042034391757918e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1464 y2[1] (analytic) = 1.1458775959236557874820636130206 y2[1] (numeric) = 1.1458775959236562000188581911076 absolute error = 4.125367945780870e-16 relative error = 3.6001820442745815436043810390162e-14 % h = 0.0001 y1[1] (analytic) = 1.1458775959236557874820636130206 y1[1] (numeric) = 1.1458776279723562181206028654294 absolute error = 3.20487004306385392524088e-08 relative error = 2.7968694513836875130092345320081e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1380.9MB, alloc=4.6MB, time=160.68 NO POLE NO POLE x[1] = 0.1465 y2[1] (analytic) = 1.1459765254587850498837984167787 y2[1] (numeric) = 1.1459765254587854677851485303181 absolute error = 4.179013501135394e-16 relative error = 3.6466833380049824344028055993261e-14 % h = 0.0001 y1[1] (analytic) = 1.1459765254587850498837984167787 y1[1] (numeric) = 1.1459765576456674017558071725823 absolute error = 3.21868823518720087558036e-08 relative error = 2.8086860102990484244320661933392e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1384.7MB, alloc=4.6MB, time=161.20 NO POLE NO POLE x[1] = 0.1466 y2[1] (analytic) = 1.1460754535341490589141537667833 y2[1] (numeric) = 1.1460754535341494822380634445788 absolute error = 4.233239096777955e-16 relative error = 3.6936827184666853273957581723028e-14 % h = 0.0001 y1[1] (analytic) = 1.1460754535341490589141537667833 y1[1] (numeric) = 1.1460754858595097979543722955097 absolute error = 3.23253607390402185287264e-08 relative error = 2.8205264007145961709105841000267e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1388.5MB, alloc=4.6MB, time=161.71 NO POLE NO POLE x[1] = 0.1467 y2[1] (analytic) = 1.1461743801487585338203139733584 y2[1] (numeric) = 1.1461743801487589626252878407654 absolute error = 4.288049738674070e-16 relative error = 3.7411844244132702479991628079473e-14 % h = 0.0001 y1[1] (analytic) = 1.1461743801487585338203139733584 y1[1] (numeric) = 1.1461744126128941201994679084218 absolute error = 3.24641355863791539350634e-08 relative error = 2.8323906160043231102959402845288e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1468 y2[1] (analytic) = 1.1462733053016242084570086758973 y2[1] (numeric) = 1.1462733053016246428020551873635 absolute error = 4.343450465114662e-16 relative error = 3.7891927213394799809412997743306e-14 % h = 0.0001 y1[1] (analytic) = 1.1462733053016242084570086758973 y1[1] (numeric) = 1.146273337904831096575876565512 absolute error = 3.26032068881188678896147e-08 relative error = 2.8442786495442144948682432436932e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1392.3MB, alloc=4.6MB, time=162.22 NO POLE NO POLE x[1] = 0.1469 y2[1] (analytic) = 1.1463722289917568312964055043067 y2[1] (numeric) = 1.1463722289917572712410401897909 absolute error = 4.399446346854842e-16 relative error = 3.8377119015908024989679032274165e-14 % h = 0.0001 y1[1] (analytic) = 1.1463722289917568312964055043067 y1[1] (numeric) = 1.146372261734331469779886463914 absolute error = 3.27425746384834809596073e-08 relative error = 2.8561904947122477406579308198811e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1396.2MB, alloc=4.6MB, time=162.76 NO POLE NO POLE x[1] = 0.147 y2[1] (analytic) = 1.1464711512181671654380025942768 y2[1] (numeric) = 1.1464711512181676110422513195744 absolute error = 4.456042487252976e-16 relative error = 3.8867462844732458342859631904430e-14 % h = 0.0001 y1[1] (analytic) = 1.1464711512181671654380025942768 y1[1] (numeric) = 1.1464711841004059971291840605733 absolute error = 3.28822388316911814662965e-08 relative error = 2.8681261448883916970717771247836e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1400.0MB, alloc=4.6MB, time=163.28 NO POLE NO POLE x[1] = 0.1471 y2[1] (analytic) = 1.146570071979865988618520956278 y2[1] (numeric) = 1.1465700719798664399429231972836 absolute error = 4.513244022410056e-16 relative error = 3.9363002163633218514334094222671e-14 % h = 0.0001 y1[1] (analytic) = 1.146570071979865988618520956278 y1[1] (numeric) = 1.1465701050020654505727465429345 absolute error = 3.30221994619542255866565e-08 relative error = 2.8800855934546059168234585330765e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1403.8MB, alloc=4.6MB, time=163.80 x[1] = 0.1472 y2[1] (analytic) = 1.1466689912758640932217966981858 y2[1] (numeric) = 1.1466689912758645503274088291217 absolute error = 4.571056121309359e-16 relative error = 3.9863780708182248457213884326948e-14 % h = 0.0001 y1[1] (analytic) = 1.1466689912758640932217966981858 y1[1] (numeric) = 1.1466690244383206167007341533455 absolute error = 3.31624565234789374551597e-08 relative error = 2.8920688337948399261684904300561e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1473 y2[1] (analytic) = 1.1467679091051722862886731014337 y2[1] (numeric) = 1.1467679091051727492370716970751 absolute error = 4.629483985956414e-16 relative error = 4.0369842486862222936989325371506e-14 % h = 0.0001 y1[1] (analytic) = 1.1467679091051722862886731014337 y1[1] (numeric) = 1.1467679424081822967543823670795 absolute error = 3.33030100104657092656458e-08 relative error = 2.9040758592950324954434860270479e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1407.6MB, alloc=4.6MB, time=164.33 NO POLE NO POLE x[1] = 0.1474 y2[1] (analytic) = 1.1468668254668013895268925505969 y2[1] (numeric) = 1.1468668254668018583801777025223 absolute error = 4.688532851519254e-16 relative error = 4.0881231782172375766916941789925e-14 % h = 0.0001 y1[1] (analytic) = 1.1468668254668013895268925505969 y1[1] (numeric) = 1.1468668589106613066358939238757 absolute error = 3.34438599171090013732788e-08 relative error = 2.9161066633431109099094269868795e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1411.4MB, alloc=4.6MB, time=164.83 NO POLE NO POLE x[1] = 0.1475 y2[1] (analytic) = 1.1469657403597622393209883163066 y2[1] (numeric) = 1.1469657403597627141417869632038 absolute error = 4.748207986468972e-16 relative error = 4.1397993151736411307574339413062e-14 % h = 0.0001 y1[1] (analytic) = 1.1469657403597622393209883163066 y1[1] (numeric) = 1.1469657739447684769183307129003 absolute error = 3.35850062375973423965937e-08 relative error = 2.9281612393289902408989583832195e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1415.2MB, alloc=4.6MB, time=165.34 NO POLE NO POLE x[1] = 0.1476 y2[1] (analytic) = 1.1470646537830656867421761913963 y2[1] (numeric) = 1.1470646537830661675936454634532 absolute error = 4.808514692720569e-16 relative error = 4.1920171429412394395590733656364e-14 % h = 0.0001 y1[1] (analytic) = 1.1470646537830656867421761913963 y1[1] (numeric) = 1.1470646875095146528555055110284 absolute error = 3.37264489661133293196321e-08 relative error = 2.9402395806445726172674938206183e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1477 y2[1] (analytic) = 1.1471635657357225975582459801812 y2[1] (numeric) = 1.1471635657357230845040765575917 absolute error = 4.869458305774105e-16 relative error = 4.2447811726404713434205130543343e-14 % h = 0.0001 y1[1] (analytic) = 1.1471635657357225975582459801812 y1[1] (numeric) = 1.1471635996039106943918735743481 absolute error = 3.38681880968336275941669e-08 relative error = 2.9523416806837464971480038385507e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1419.0MB, alloc=4.6MB, time=165.84 NO POLE NO POLE x[1] = 0.1478 y2[1] (analytic) = 1.1472624762167438522434528407725 y2[1] (numeric) = 1.1472624762167443453478723263861 absolute error = 4.931044194856136e-16 relative error = 4.2980959432377967253856936208667e-14 % h = 0.0001 y1[1] (analytic) = 1.1472624762167438522434528407725 y1[1] (numeric) = 1.147262510226967476172424082788 absolute error = 3.40102236239289712420155e-08 relative error = 2.9644675328423859400092910562896e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1422.9MB, alloc=4.6MB, time=166.36 NO POLE NO POLE x[1] = 0.1479 y2[1] (analytic) = 1.1473613852251403459884084803264 y2[1] (numeric) = 1.1473613852251408453161847864719 absolute error = 4.993277763061455e-16 relative error = 4.3519660216572931501911051560284e-14 % h = 0.0001 y1[1] (analytic) = 1.1473613852251403459884084803264 y1[1] (numeric) = 1.1473614193776958875525714377688 absolute error = 3.41525555415641629574424e-08 relative error = 2.9766171305183498790176863629745e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1426.7MB, alloc=4.6MB, time=166.87 NO POLE NO POLE x[1] = 0.148 y2[1] (analytic) = 1.1474602927599229887099722031298 y2[1] (numeric) = 1.1474602927599234943264169526427 absolute error = 5.056164447495129e-16 relative error = 4.4063960028924533625973102692851e-14 % h = 0.0001 y1[1] (analytic) = 1.1474602927599229887099722031298 y1[1] (numeric) = 1.1474603270551068326080464127804 absolute error = 3.42951838438980742096506e-08 relative error = 2.9887904671114813937019697563209e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1430.5MB, alloc=4.6MB, time=167.39 x[1] = 0.1481 y2[1] (analytic) = 1.1475591988201027050611418114232 y2[1] (numeric) = 1.1475591988201032170321137529062 absolute error = 5.119709719414830e-16 relative error = 4.4613905101181817849173579202601e-14 % h = 0.0001 y1[1] (analytic) = 1.1475591988201027050611418114232 y1[1] (numeric) = 1.1475592332582112301447871567858 absolute error = 3.44381085250836453453626e-08 relative error = 3.0009875360236069829214415441758e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1482 y2[1] (analytic) = 1.1476581034046904344409443588628 y2[1] (numeric) = 1.1476581034046909528328527962092 absolute error = 5.183919084373464e-16 relative error = 4.5169541948029933829128644177140e-14 % h = 0.0001 y1[1] (analytic) = 1.1476581034046904344409443588628 y1[1] (numeric) = 1.1476581379860200137088300503519 absolute error = 3.45813295792678856914891e-08 relative error = 3.0132083306585358381368343899347e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1434.3MB, alloc=4.6MB, time=167.91 NO POLE NO POLE x[1] = 0.1483 y2[1] (analytic) = 1.1477570065126971310043267565218 y2[1] (numeric) = 1.1477570065126976558841349927312 absolute error = 5.248798082362094e-16 relative error = 4.5730917368214112968020242381004e-14 % h = 0.0001 y1[1] (analytic) = 1.1477570065126971310043267565218 y1[1] (numeric) = 1.1477570412375441315962004144098 absolute error = 3.47248470005918736578880e-08 relative error = 3.0254528444220591169841489425714e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1438.1MB, alloc=4.6MB, time=168.47 NO POLE NO POLE x[1] = 0.1484 y2[1] (analytic) = 1.147855908143133763672046231333 y2[1] (numeric) = 1.147855908143134295107275026649 absolute error = 5.314352287953160e-16 relative error = 4.6298078445665657349466057098809e-14 % h = 0.0001 y1[1] (analytic) = 1.147855908143133763672046231333 y1[1] (numeric) = 1.1478559430117945468628030715445 absolute error = 3.48686607831907568402115e-08 relative error = 3.0377210707219492171510775413762e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1441.9MB, alloc=4.6MB, time=169.02 NO POLE NO POLE x[1] = 0.1485 y2[1] (analytic) = 1.1479548082950113161405606368725 y2[1] (numeric) = 1.1479548082950118541992916812726 absolute error = 5.380587310444001e-16 relative error = 4.6871072550629983683050129335746e-14 % h = 0.0001 y1[1] (analytic) = 1.1479548082950113161405606368725 y1[1] (numeric) = 1.1479548433077822373343127597151 absolute error = 3.50127709211937521228426e-08 relative error = 3.0500130029679590505559855841423e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1486 y2[1] (analytic) = 1.1480537069673407868919186163871 y2[1] (numeric) = 1.1480537069673413316427980164538 absolute error = 5.447508794000667e-16 relative error = 4.7449947340796616531608234465583e-14 % h = 0.0001 y1[1] (analytic) = 1.1480537069673407868919186163871 y1[1] (numeric) = 1.1480537421245181956160643983079 absolute error = 3.51571774087241457819208e-08 relative error = 3.0623286345718213178292894899549e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1445.8MB, alloc=4.6MB, time=169.52 NO POLE NO POLE x[1] = 0.1487 y2[1] (analytic) = 1.1481526041591331892036496179658 y2[1] (numeric) = 1.1481526041591337407158913981683 absolute error = 5.515122417802025e-16 relative error = 4.8034750762431164523641918905161e-14 % h = 0.0001 y1[1] (analytic) = 1.1481526041591331892036496179658 y1[1] (numeric) = 1.1481526394610134291029432064216 absolute error = 3.53018802398992935884558e-08 relative error = 3.0746679589472477830969831796778e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1449.6MB, alloc=4.6MB, time=170.05 NO POLE NO POLE x[1] = 0.1488 y2[1] (analytic) = 1.1482514998693995511586537617559 y2[1] (numeric) = 1.1482514998694001095020433801731 absolute error = 5.583433896184172e-16 relative error = 4.8625531051509391610179429552939e-14 % h = 0.0001 y1[1] (analytic) = 1.1482514998693995511586537617559 y1[1] (numeric) = 1.1482515353162789599892746732873 absolute error = 3.54468794088306209115314e-08 relative error = 3.0870309695099285490663612479464e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1453.4MB, alloc=4.6MB, time=170.55 NO POLE NO POLE x[1] = 0.1489 y2[1] (analytic) = 1.148350394097150915655091559126 y2[1] (numeric) = 1.1483503940971514808999894376393 absolute error = 5.652448978785133e-16 relative error = 4.9222336734853190563302722070252e-14 % h = 0.0001 y1[1] (analytic) = 1.148350394097150915655091559126 y1[1] (numeric) = 1.1483504296893258252787143807237 absolute error = 3.55921749096236228215977e-08 relative error = 3.0994176596775313324136299108145e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1457.2MB, alloc=4.6MB, time=171.07 x[1] = 0.149 y2[1] (analytic) = 1.148449286841398340416273483676 y2[1] (numeric) = 1.1484492868413989126336185526622 absolute error = 5.722173450689862e-16 relative error = 4.9825216631268614342252531381102e-14 % h = 0.0001 y1[1] (analytic) = 1.148449286841398340416273483676 y1[1] (numeric) = 1.1484493225791650767941376775282 absolute error = 3.57377667363778641938522e-08 relative error = 3.1118280228697007394733146882986e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1491 y2[1] (analytic) = 1.1485481781011528980005493939959 y2[1] (numeric) = 1.1485481781011534772618626515496 absolute error = 5.792613132575537e-16 relative error = 5.0434219852685885766564666748738e-14 % h = 0.0001 y1[1] (analytic) = 1.1485481781011528980005493939959 y1[1] (numeric) = 1.148548213984807781187529205706 absolute error = 3.58836548831869798117101e-08 relative error = 3.1242620525080575422293477012851e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1461.0MB, alloc=4.6MB, time=171.57 NO POLE NO POLE x[1] = 0.1492 y2[1] (analytic) = 1.1486470678754256758111978080739 y2[1] (numeric) = 1.1486470678754262621885858937893 absolute error = 5.863773880857154e-16 relative error = 5.1049395805301427873136832677724e-14 % h = 0.0001 y1[1] (analytic) = 1.1486470678754256758111978080739 y1[1] (numeric) = 1.1486471039052650199498722784376 absolute error = 3.60298393441386744703637e-08 relative error = 3.1367197420161979546076826968368e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1464.8MB, alloc=4.6MB, time=172.10 NO POLE NO POLE x[1] = 0.1493 y2[1] (analytic) = 1.1487459561632277761063150292556 y2[1] (numeric) = 1.1487459561632283696724738125966 absolute error = 5.935661587833410e-16 relative error = 5.1670794190721826727894373882350e-14 % h = 0.0001 y1[1] (analytic) = 1.1487459561632277761063150292556 y1[1] (numeric) = 1.1487459923395478894210381096859 absolute error = 3.61763201133147230804303e-08 relative error = 3.1492010848196929090702424722922e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1468.6MB, alloc=4.6MB, time=172.63 NO POLE NO POLE x[1] = 0.1494 y2[1] (analytic) = 1.1488448429635703160087041236546 y2[1] (numeric) = 1.1488448429635709168369223069439 absolute error = 6.008282181832893e-16 relative error = 5.2298465007109882246682860774400e-14 % h = 0.0001 y1[1] (analytic) = 1.1488448429635703160087041236546 y1[1] (numeric) = 1.1488448792866675007996748953442 absolute error = 3.63230971847909707716896e-08 relative error = 3.1617060743460873335101427509002e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1495 y2[1] (analytic) = 1.1489437282754644275157637489161 y2[1] (numeric) = 1.1489437282754650356799264849722 absolute error = 6.081641627360561e-16 relative error = 5.2932458550332589141764077249371e-14 % h = 0.0001 y1[1] (analytic) = 1.1489437282754644275157637489161 y1[1] (numeric) = 1.1489437647456349801530967458259 absolute error = 3.64701705526373329969098e-08 relative error = 3.1742347040248994284479799121393e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1472.5MB, alloc=4.6MB, time=173.15 NO POLE NO POLE x[1] = 0.1496 y2[1] (analytic) = 1.1490426120979212575093768342351 y2[1] (numeric) = 1.1490426120979218730839693586868 absolute error = 6.155745925244517e-16 relative error = 5.3572825415111107791555094494102e-14 % h = 0.0001 y1[1] (analytic) = 1.1490426120979212575093768342351 y1[1] (numeric) = 1.1490426487154614684271724699977 absolute error = 3.66175402109177956357626e-08 relative error = 3.1867869672876199445290571327522e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1476.3MB, alloc=4.6MB, time=173.66 NO POLE NO POLE x[1] = 0.1497 y2[1] (analytic) = 1.149141494429951967765799111529 y2[1] (numeric) = 1.1491414944299525908259103898374 absolute error = 6.230601112783084e-16 relative error = 5.4219616496172758683765308619068e-14 % h = 0.0001 y1[1] (analytic) = 1.149141494429951967765799111529 y1[1] (numeric) = 1.1491415311951581214562142103562 absolute error = 3.67652061536904150988272e-08 relative error = 3.1993628575677114603214148562998e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1480.1MB, alloc=4.6MB, time=174.17 NO POLE NO POLE x[1] = 0.1498 y2[1] (analytic) = 1.149240375270567734965547497667 y2[1] (numeric) = 1.1492403752705683655868738868845 absolute error = 6.306213263892175e-16 relative error = 5.4872882989404995746453103366133e-14 % h = 0.0001 y1[1] (analytic) = 1.149240375270567734965547497667 y1[1] (numeric) = 1.1492404121837361099728659293503 absolute error = 3.69131683750073184316833e-08 relative error = 3.2119623683006076604145228775010e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1483.9MB, alloc=4.6MB, time=174.70 NO POLE NO POLE x[1] = 0.1499 y2[1] (analytic) = 1.1493392546187797507032883276562 y2[1] (numeric) = 1.1493392546187803889621372529523 absolute error = 6.382588489252961e-16 relative error = 5.5532676393011383517617184985749e-14 % h = 0.0001 y1[1] (analytic) = 1.1493392546187797507032883276562 y1[1] (numeric) = 1.1493392916802066196179917467498 absolute error = 3.70614268689147034190936e-08 relative error = 3.2245854929237126138185349067063e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.15 y2[1] (analytic) = 1.1494381324735992214977254386876 y2[1] (numeric) = 1.1494381324735998674710190846702 absolute error = 6.459732936459826e-16 relative error = 5.6199048508669481288255387235235e-14 % h = 0.0001 y1[1] (analytic) = 1.1494381324735992214977254386876 y1[1] (numeric) = 1.1494381696835808509505641279612 absolute error = 3.72099816294528386892736e-08 relative error = 3.2372322248764000526637716283053e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1487.7MB, alloc=4.6MB, time=175.20 NO POLE NO POLE x[1] = 0.1501 y2[1] (analytic) = 1.14953700883403736880148810494 y2[1] (numeric) = 1.1495370088340380225667671218033 absolute error = 6.537652790168633e-16 relative error = 5.6872051442690841891012224511752e-14 % h = 0.0001 y1[1] (analytic) = 1.14953700883403736880148810494 y1[1] (numeric) = 1.1495370461928700194575519231925 absolute error = 3.73588326506560638182525e-08 relative error = 3.2499025576000126512006204236057e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1491.5MB, alloc=4.6MB, time=175.72 NO POLE NO POLE x[1] = 0.1502 y2[1] (analytic) = 1.1496358836991054290110188230458 y2[1] (numeric) = 1.1496358836991060906464460475734 absolute error = 6.616354272245276e-16 relative error = 5.7551737607182906441865827093204e-14 % h = 0.0001 y1[1] (analytic) = 1.1496358836991054290110188230458 y1[1] (numeric) = 1.1496359212070853555638082573674 absolute error = 3.75079799265527894343216e-08 relative error = 3.2625964845378613050993960948095e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1495.3MB, alloc=4.6MB, time=176.24 NO POLE NO POLE x[1] = 0.1503 y2[1] (analytic) = 1.1497347570678146534764609481182 y2[1] (numeric) = 1.1497347570678153230608251395715 absolute error = 6.695843641914533e-16 relative error = 5.8238159721212924399222246001321e-14 % h = 0.0001 y1[1] (analytic) = 1.1497347570678146534764609481182 y1[1] (numeric) = 1.1497347947252381046419582706905 absolute error = 3.76574234511654973225723e-08 relative error = 3.2753139991352244110502029844043e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1504 y2[1] (analytic) = 1.1498336289391763085115461802419 y2[1] (numeric) = 1.1498336289391769861242657711625 absolute error = 6.776127195909206e-16 relative error = 5.8931370811973776005519112564199e-14 % h = 0.0001 y1[1] (analytic) = 1.1498336289391763085115461802419 y1[1] (numeric) = 1.1498336667463395270222867097644 absolute error = 3.78071632185107405295225e-08 relative error = 3.2880550948393471466625518361315e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1499.2MB, alloc=4.6MB, time=176.78 NO POLE NO POLE x[1] = 0.1505 y2[1] (analytic) = 1.1499324993122016754034819013271 y2[1] (numeric) = 1.1499324993122023611246087632845 absolute error = 6.857211268619574e-16 relative error = 5.9631424215951922107633247938175e-14 % h = 0.0001 y1[1] (analytic) = 1.1499324993122016754034819013271 y1[1] (numeric) = 1.1499325372694008980026253691597 absolute error = 3.79571992225991434678326e-08 relative error = 3.3008197650994407506646935989578e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1503.0MB, alloc=4.6MB, time=177.28 NO POLE NO POLE x[1] = 0.1506 y2[1] (analytic) = 1.1500313681859020504228383622293 y2[1] (numeric) = 1.1500313681859027443330615865421 absolute error = 6.939102232243128e-16 relative error = 6.0338373580097210559112949598772e-14 % h = 0.0001 y1[1] (analytic) = 1.1500313681859020504228383622293 y1[1] (numeric) = 1.1500314062934335078582403833393 absolute error = 3.81075314574354020211100e-08 relative error = 3.3136080033666818034024323846411e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1506.8MB, alloc=4.6MB, time=177.82 NO POLE NO POLE x[1] = 0.1507 y2[1] (analytic) = 1.1501302355592887448334357200356 y2[1] (numeric) = 1.1501302355592894470140854134962 absolute error = 7.021806496934606e-16 relative error = 6.1052272862994694632323328294247e-14 % h = 0.0001 y1[1] (analytic) = 1.1501302355592887448334357200356 y1[1] (numeric) = 1.1501302738174486618517193688382 absolute error = 3.82581599170182836488026e-08 relative error = 3.3264198030942115076373190454303e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1510.6MB, alloc=4.6MB, time=178.33 NO POLE NO POLE x[1] = 0.1508 y2[1] (analytic) = 1.1502291014313730849022309254179 y2[1] (numeric) = 1.1502291014313737954352820210508 absolute error = 7.105330510956329e-16 relative error = 6.1773176336038470965197388433516e-14 % h = 0.0001 y1[1] (analytic) = 1.1502291014313730849022309254179 y1[1] (numeric) = 1.1502291398404576802428584165995 absolute error = 3.84090845953406274911816e-08 relative error = 3.3392551577371349696441094961035e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1509 y2[1] (analytic) = 1.1503279658011664119092044599553 y2[1] (numeric) = 1.1503279658011671308772805428379 absolute error = 7.189680760828826e-16 relative error = 6.2501138584607431550992616498682e-14 % h = 0.0001 y1[1] (analytic) = 1.1503279658011664119092044599553 y1[1] (numeric) = 1.1503280043614718982985489343681 absolute error = 3.85603054863893444744128e-08 relative error = 3.3521140607525204806072763370860e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1514.4MB, alloc=4.6MB, time=178.83 NO POLE NO POLE x[1] = 0.151 y2[1] (analytic) = 1.1504268286676800821572469233262 y2[1] (numeric) = 1.1504268286676808096436240715021 absolute error = 7.274863771481759e-16 relative error = 6.3236214509243024277903337992938e-14 % h = 0.0001 y1[1] (analytic) = 1.1504268286676800821572469233262 y1[1] (numeric) = 1.150426867379502666302664339043 absolute error = 3.87118225841454174157168e-08 relative error = 3.3649965055993987983164667676547e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1518.2MB, alloc=4.6MB, time=179.34 NO POLE NO POLE x[1] = 0.1511 y2[1] (analytic) = 1.1505256900299254669820454702708 y2[1] (numeric) = 1.1505256900299262030706561107855 absolute error = 7.360886106405147e-16 relative error = 6.3978459326829012160391515753085e-14 % h = 0.0001 y1[1] (analytic) = 1.1505256900299254669820454702708 y1[1] (numeric) = 1.1505257288935613495659465988896 absolute error = 3.88636358825839011286188e-08 relative error = 3.3779024857387624291608259046418e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1522.0MB, alloc=4.6MB, time=179.87 NO POLE NO POLE x[1] = 0.1512 y2[1] (analytic) = 1.1506245498869139527619700972261 y2[1] (numeric) = 1.1506245498869146975374068773142 absolute error = 7.447754367800881e-16 relative error = 6.4727928571773160574478760300012e-14 % h = 0.0001 y1[1] (analytic) = 1.1506245498869139527619700972261 y1[1] (numeric) = 1.1506245889026593284358926255128 absolute error = 3.90157453756739225282867e-08 relative error = 3.3908319946335649104219308368162e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1513 y2[1] (analytic) = 1.1507234082376569409279597785343 y2[1] (numeric) = 1.1507234082376576944754794519878 absolute error = 7.535475196734535e-16 relative error = 6.5484678097190894830366952919666e-14 % h = 0.0001 y1[1] (analytic) = 1.1507234082376569409279597785343 y1[1] (numeric) = 1.1507234474058079983066405154924 absolute error = 3.91681510573786807369581e-08 relative error = 3.4037850257487200928652460115255e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1525.9MB, alloc=4.6MB, time=180.37 NO POLE NO POLE x[1] = 0.1514 y2[1] (analytic) = 1.1508222650811658479734084521247 y2[1] (numeric) = 1.1508222650811666103789357808726 absolute error = 7.624055273287479e-16 relative error = 6.6248764076090979076229287534454e-14 % h = 0.0001 y1[1] (analytic) = 1.1508222650811658479734084521247 y1[1] (numeric) = 1.1508223044020187696288556415816 absolute error = 3.93208529216554471894569e-08 relative error = 3.4167615725511014236300192789128e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1529.7MB, alloc=4.6MB, time=180.89 NO POLE NO POLE x[1] = 0.1515 y2[1] (analytic) = 1.1509211204164521054640508545718 y2[1] (numeric) = 1.1509211204164528768141825255002 absolute error = 7.713501316709284e-16 relative error = 6.7020243002563128473018432152046e-14 % h = 0.0001 y1[1] (analytic) = 1.1509211204164521054640508545718 y1[1] (numeric) = 1.1509211598903030679196165933698 absolute error = 3.94738509624555657387980e-08 relative error = 3.4297616285095412294173468010887e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1533.5MB, alloc=4.6MB, time=181.44 NO POLE NO POLE x[1] = 0.1516 y2[1] (analytic) = 1.1510199742425271600478482054296 y2[1] (numeric) = 1.1510199742425279404298567624718 absolute error = 7.803820085570422e-16 relative error = 6.7799171692967579584077758372834e-14 % h = 0.0001 y1[1] (analytic) = 1.1510199742425271600478482054296 y1[1] (numeric) = 1.1510200138696723337723009673112 absolute error = 3.96271451737244527618816e-08 relative error = 3.4427851870948299999763958366728e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1537.3MB, alloc=4.6MB, time=181.98 NO POLE NO POLE x[1] = 0.1517 y2[1] (analytic) = 1.1511188265584024734648737407438 y2[1] (numeric) = 1.1511188265584032629667115322705 absolute error = 7.895018377915267e-16 relative error = 6.8585607287126669967934308290862e-14 % h = 0.0001 y1[1] (analytic) = 1.1511188265584024734648737407438 y1[1] (numeric) = 1.15111886633913802286647100602 absolute error = 3.97807355494015972652762e-08 relative error = 3.4558322417797156718885659037614e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1518 y2[1] (analytic) = 1.1512176773630895225571980956428 y2[1] (numeric) = 1.1512176773630903212675012371814 absolute error = 7.987103031415386e-16 relative error = 6.9379607249518330258028577596709e-14 % h = 0.0001 y1[1] (analytic) = 1.1512176773630895225571980956428 y1[1] (numeric) = 1.1512177172977116059777590867331 absolute error = 3.99346220834205609910903e-08 relative error = 3.4689027860389029126494471311795e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1541.1MB, alloc=4.6MB, time=182.48 NO POLE NO POLE x[1] = 0.1519 y2[1] (analytic) = 1.1513165266555997992787745359089 y2[1] (numeric) = 1.151316526655600607286866888222 absolute error = 8.080080923523131e-16 relative error = 7.0181229370471583165289502579723e-14 % h = 0.0001 y1[1] (analytic) = 1.1513165266555997992787745359089 y1[1] (numeric) = 1.1513165667444045689877530588421 absolute error = 4.00888047697089785229332e-08 relative error = 3.4819968133490524050484694256287e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1544.9MB, alloc=4.6MB, time=182.99 NO POLE NO POLE x[1] = 0.152 y2[1] (analytic) = 1.1514153744349448107053240384303 y2[1] (numeric) = 1.1514153744349456281012212009829 absolute error = 8.173958971625526e-16 relative error = 7.0990531767363996130360487913520e-14 % h = 0.0001 y1[1] (analytic) = 1.1514153744349448107053240384303 y1[1] (numeric) = 1.1514154146782284128938814303953 absolute error = 4.02432836021885573919650e-08 relative error = 3.4951143171887801318461100784705e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1548.8MB, alloc=4.6MB, time=183.51 NO POLE NO POLE x[1] = 0.1521 y2[1] (analytic) = 1.1515142207001360790442202204357 y2[1] (numeric) = 1.1515142207001369059186335402807 absolute error = 8.268744133198450e-16 relative error = 7.1807572885821095178519946565889e-14 % h = 0.0001 y1[1] (analytic) = 1.1515142207001360790442202204357 y1[1] (numeric) = 1.1515142610981946538192984034711 absolute error = 4.03980585747750781830354e-08 relative error = 3.5082552910386566607484840836806e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1522 y2[1] (analytic) = 1.1516130654501851416443741174124 y2[1] (numeric) = 1.1516130654501859780887147135239 absolute error = 8.364443405961115e-16 memory used=1552.6MB, alloc=4.6MB, time=184.00 relative error = 7.2632411500917730158338281758579e-14 % h = 0.0001 y1[1] (analytic) = 1.1516130654501851416443741174124 y1[1] (numeric) = 1.1516131060033148230227687583232 absolute error = 4.05531296813783946409108e-08 relative error = 3.5214197283812064296791328536990e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1523 y2[1] (analytic) = 1.1517119086841035510061188096092 y2[1] (numeric) = 1.1517119086841043971125016126929 absolute error = 8.461063828030837e-16 relative error = 7.3465106718381372869257358453010e-14 % h = 0.0001 y1[1] (analytic) = 1.1517119086841035510061188096092 y1[1] (numeric) = 1.1517119493926004669085525862002 absolute error = 4.07084969159024337765910e-08 relative error = 3.5346076227009070323479834135425e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1556.4MB, alloc=4.6MB, time=184.55 NO POLE NO POLE x[1] = 0.1524 y2[1] (analytic) = 1.1518107504009028747910938970242 y2[1] (numeric) = 1.1518107504009037306523417048359 absolute error = 8.558612478078117e-16 relative error = 7.4305717975797494553759393187417e-14 % h = 0.0001 y1[1] (analytic) = 1.1518107504009028747910938970242 y1[1] (numeric) = 1.1518107912650631470362898707394 absolute error = 4.08641602722451959737152e-08 relative error = 3.5478189674841885041173112390366e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1560.2MB, alloc=4.6MB, time=185.05 NO POLE NO POLE x[1] = 0.1525 y2[1] (analytic) = 1.1519095905995946958321298227808 y2[1] (numeric) = 1.1519095905995955615417773709805 absolute error = 8.657096475481997e-16 relative error = 7.5154305043816717705056709332900e-14 % h = 0.0001 y1[1] (analytic) = 1.1519095905995946958321298227808 y1[1] (numeric) = 1.1519096316197144401308849178363 absolute error = 4.10201197442987550950555e-08 relative error = 3.5610537562194326081644097790338e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1564.0MB, alloc=4.6MB, time=185.56 NO POLE NO POLE x[1] = 0.1526 y2[1] (analytic) = 1.1520084292791906121431320447907 y2[1] (numeric) = 1.152008429279191487795430093364 absolute error = 8.756522980485733e-16 relative error = 7.6010928027364105748633079675332e-14 % h = 0.0001 y1[1] (analytic) = 1.1520084292791906121431320447907 y1[1] (numeric) = 1.1520084704555659380923906338916 absolute error = 4.11763753259492585891009e-08 relative error = 3.5743119823969721219410865470047e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1527 y2[1] (analytic) = 1.152107266438702236928965055607 y2[1] (numeric) = 1.1521072664387031226188844908816 absolute error = 8.856899194352746e-16 relative error = 7.6875647366850250847042650840526e-14 % h = 0.0001 y1[1] (analytic) = 1.152107266438702236928965055607 y1[1] (numeric) = 1.152107307771629248005892652336 absolute error = 4.13329270110769275967290e-08 relative error = 3.5875936395090901239296021378314e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1567.8MB, alloc=4.6MB, time=186.07 NO POLE NO POLE x[1] = 0.1528 y2[1] (analytic) = 1.152206102077141198595336250367 y2[1] (numeric) = 1.1522061020771420944185722026554 absolute error = 8.958232359522884e-16 relative error = 7.7748523839384445198860619869106e-14 % h = 0.0001 y1[1] (analytic) = 1.152206102077141198595336250367 y1[1] (numeric) = 1.1522061435669159921513933083346 absolute error = 4.14897747935560570579676e-08 relative error = 3.6008987210500192806951027171551e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1571.6MB, alloc=4.6MB, time=186.59 NO POLE NO POLE x[1] = 0.1529 y2[1] (analytic) = 1.152304936193519140758679642727 y2[1] (numeric) = 1.1523049361935200468116556196242 absolute error = 9.060529759768972e-16 relative error = 7.8629618559989735024521371270403e-14 % h = 0.0001 y1[1] (analytic) = 1.152304936193519140758679642727 y1[1] (numeric) = 1.1523049778404378080136954615714 absolute error = 4.16469186672550158188444e-08 relative error = 3.6142272205159411342342493437146e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1575.5MB, alloc=4.6MB, time=187.13 NO POLE NO POLE x[1] = 0.153 y2[1] (analytic) = 1.1524037687868477222560394286898 y2[1] (numeric) = 1.1524037687868486386359114640556 absolute error = 9.163798720353658e-16 relative error = 7.9518992982819925572626346093013e-14 % h = 0.0001 y1[1] (analytic) = 1.1524037687868477222560394286898 y1[1] (numeric) = 1.1524038105912063482922861670159 absolute error = 4.18043586260362467383261e-08 relative error = 3.6275791314049853896200166697149e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1579.3MB, alloc=4.6MB, time=187.65 x[1] = 0.1531 y2[1] (analytic) = 1.1525025998561386171549533982258 y2[1] (numeric) = 1.1525025998561395439596142168818 absolute error = 9.268046608186560e-16 relative error = 8.0416708902378579403242779759427e-14 % h = 0.0001 y1[1] (analytic) = 1.1525025998561386171549533982258 y1[1] (numeric) = 1.152502641818233280911220193572 absolute error = 4.19620946637562667953462e-08 relative error = 3.6409544472172292029424600258443e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1532 y2[1] (analytic) = 1.15260142940040351476333619459 y2[1] (numeric) = 1.1526014294004044520914193927598 absolute error = 9.373280831981698e-16 relative error = 8.1322828454739867979311960838503e-14 % h = 0.0001 y1[1] (analytic) = 1.15260142940040351476333619459 y1[1] (numeric) = 1.1526014715205302890290033905114 absolute error = 4.21201267742656671959214e-08 relative error = 3.6543531614546964695453020697564e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1583.1MB, alloc=4.6MB, time=188.19 NO POLE NO POLE x[1] = 0.1533 y2[1] (analytic) = 1.1527002574186541196393624212335 y2[1] (numeric) = 1.1527002574186550675902466627579 absolute error = 9.479508842415244e-16 relative error = 8.2237414118771561782247453973491e-14 % h = 0.0001 y1[1] (analytic) = 1.1527002574186541196393624212335 y1[1] (numeric) = 1.1527002996971090710484759015918 absolute error = 4.22784549514091134803583e-08 relative error = 3.6677752676213571125583464121764e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1586.9MB, alloc=4.6MB, time=188.71 NO POLE NO POLE x[1] = 0.1534 y2[1] (analytic) = 1.1527990839099021516013495962147 y2[1] (numeric) = 1.1527990839099031102751628245688 absolute error = 9.586738132283541e-16 relative error = 8.3160528717359732660169506611710e-14 % h = 0.0001 y1[1] (analytic) = 1.1527990839099021516013495962147 y1[1] (numeric) = 1.1527991263469813406266952267616 absolute error = 4.24370791890253456305469e-08 relative error = 3.6812207592231263717252745318903e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1590.7MB, alloc=4.6MB, time=189.23 NO POLE NO POLE x[1] = 0.1535 y2[1] (analytic) = 1.1528979088731593457376409540072 y2[1] (numeric) = 1.1528979088731603152352646201509 absolute error = 9.694976236661437e-16 relative error = 8.4092235418635566420204217485691e-14 % h = 0.0001 y1[1] (analytic) = 1.1528979088731593457376409540072 y1[1] (numeric) = 1.1528979514691588266848191313518 absolute error = 4.25959994809471781773446e-08 relative error = 3.6946896297678640925270070866133e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1536 y2[1] (analytic) = 1.1529967323074374524164880946082 y2[1] (numeric) = 1.1529967323074384328395614006993 absolute error = 9.804230733060911e-16 relative error = 8.5032597737204084962938078738500e-14 % h = 0.0001 y1[1] (analytic) = 1.1529967323074374524164880946082 y1[1] (numeric) = 1.1529967750626532734179884026568 absolute error = 4.27552158210015003080486e-08 relative error = 3.7081818727653740156003075437755e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1594.5MB, alloc=4.6MB, time=189.76 NO POLE NO POLE x[1] = 0.1537 y2[1] (analytic) = 1.1530955542117482372959334798479 y2[1] (numeric) = 1.1530955542117492287468576388467 absolute error = 9.914509241589988e-16 relative error = 8.5981679535374750841022286819977e-14 % h = 0.0001 y1[1] (analytic) = 1.1530955542117482372959334798479 y1[1] (numeric) = 1.153095597126476440305209453805 absolute error = 4.29147282030092759739571e-08 relative error = 3.7216974817274030664515230620530e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1598.3MB, alloc=4.6MB, time=190.29 NO POLE NO POLE x[1] = 0.1538 y2[1] (analytic) = 1.153194374585103481333692776801 y2[1] (numeric) = 1.1531943745851044839156352879969 absolute error = 1.0025819425111959e-15 relative error = 8.6939545024394091902376631538336e-14 % h = 0.0001 y1[1] (analytic) = 1.153194374585103481333692776801 y1[1] (numeric) = 1.1531944176596401021192367748203 absolute error = 4.30745366207855439980193e-08 relative error = 3.7352364501676406454653229185078e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1602.2MB, alloc=4.6MB, time=190.82 NO POLE NO POLE x[1] = 0.1539 y2[1] (analytic) = 1.1532931934265149807970370482008 y2[1] (numeric) = 1.1532931934265159946139359886901 absolute error = 1.0138168989404893e-15 relative error = 8.7906258765680232130370794706968e-14 % h = 0.0001 y1[1] (analytic) = 1.1532931934265149807970370482008 y1[1] (numeric) = 1.1532932366611560489364552307758 absolute error = 4.32346410681394181825750e-08 relative error = 3.7487987716017179182083642168289e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1606.0MB, alloc=4.6MB, time=191.38 x[1] = 0.154 y2[1] (analytic) = 1.1533920107349945472726747897587 y2[1] (numeric) = 1.1533920107349955724292431219032 absolute error = 1.0251565683321445e-15 relative error = 8.8881885672059362262898881176996e-14 % h = 0.0001 y1[1] (analytic) = 1.1533920107349945472726747897587 y1[1] (numeric) = 1.1533920541300360861467622069408 absolute error = 4.33950415388740874171821e-08 relative error = 3.7623844395472071060275978866414e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1541 y2[1] (analytic) = 1.1534908265095540076766338142887 y2[1] (numeric) = 1.1534908265095550442783637091846 absolute error = 1.0366017298948959e-15 relative error = 8.9866491009004140402695981727775e-14 % h = 0.0001 y1[1] (analytic) = 1.1534908265095540076766338142887 y1[1] (numeric) = 1.1534908700652920344634496008224 absolute error = 4.35557380267868157865337e-08 relative error = 3.7759934475236207769432229163070e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1609.8MB, alloc=4.6MB, time=191.95 NO POLE NO POLE x[1] = 0.1542 y2[1] (analytic) = 1.153589640749205204264142982539 y2[1] (numeric) = 1.1535896407492062524173101595262 absolute error = 1.0481531671769872e-15 relative error = 9.0860140395874073518240381834027e-14 % h = 0.0001 y1[1] (analytic) = 1.153589640749205204264142982539 y1[1] (numeric) = 1.1535896844659357299330856610027 absolute error = 4.37167305256689426784637e-08 relative error = 3.7896257890524111368360540138934e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1613.6MB, alloc=4.6MB, time=192.53 NO POLE NO POLE x[1] = 0.1543 y2[1] (analytic) = 1.1536884534529599946395137806312 y2[1] (numeric) = 1.153688453452961054451181862872 absolute error = 1.0598116680822408e-15 relative error = 9.1862899807157783346367270040585e-14 % h = 0.0001 y1[1] (analytic) = 1.1536884534529599946395137806312 y1[1] (numeric) = 1.1536884973309790239453966726731 absolute error = 4.38780190293058828920419e-08 relative error = 3.8032814576569693209292500551212e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1617.4MB, alloc=4.6MB, time=193.12 NO POLE NO POLE x[1] = 0.1544 y2[1] (analytic) = 1.1537872646198302517660217440094 y2[1] (numeric) = 1.1537872646198313233440466301663 absolute error = 1.0715780248861569e-15 relative error = 9.2874835573717216281921955162256e-14 % h = 0.0001 y1[1] (analytic) = 1.1537872646198302517660217440094 y1[1] (numeric) = 1.1537873086594337832431484897664 absolute error = 4.40396035314771267457570e-08 relative error = 3.8169604468626246855641253466873e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1545 y2[1] (analytic) = 1.1538860742488278639757877277988 y2[1] (numeric) = 1.1538860742488289474288219798414 absolute error = 1.0834530342520426e-15 relative error = 9.3896014384033822133623413669527e-14 % h = 0.0001 y1[1] (analytic) = 1.1538860742488278639757877277988 y1[1] (numeric) = 1.1538861184503118899320279135883 absolute error = 4.42014840259562401857895e-08 relative error = 3.8306627501966441002700778913988e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1621.2MB, alloc=4.6MB, time=193.68 NO POLE NO POLE x[1] = 0.1546 y2[1] (analytic) = 1.1539848823389647349796590234764 y2[1] (numeric) = 1.1539848823389658304171562706469 absolute error = 1.0954374972471705e-15 relative error = 9.4926503285456657283400574553405e-14 % h = 0.0001 y1[1] (analytic) = 1.1539848823389647349796590234764 y1[1] (numeric) = 1.1539849267026252414905239178492 absolute error = 4.43636605065108648943728e-08 relative error = 3.8443883611882312401283481684067e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1625.0MB, alloc=4.6MB, time=194.27 NO POLE NO POLE x[1] = 0.1547 y2[1] (analytic) = 1.1540836888892527838770903217543 y2[1] (numeric) = 1.1540836888892538914093096807207 absolute error = 1.1075322193589664e-15 relative error = 9.5966369685452376481932795097674e-14 % h = 0.0001 y1[1] (analytic) = 1.1540836888892527838770903217543 y1[1] (numeric) = 1.1540837334153857507798087199978 absolute error = 4.45261329669027183982435e-08 relative error = 3.8581372733685258784295560683186e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1628.9MB, alloc=4.6MB, time=194.86 NO POLE NO POLE x[1] = 0.1548 y2[1] (analytic) = 1.1541824938987039451660245215772 y2[1] (numeric) = 1.1541824938987050649040350328041 absolute error = 1.1197380105112269e-15 relative error = 9.7015681352857181507445834976448e-14 % h = 0.0001 y1[1] (analytic) = 1.1541824938987039451660245215772 y1[1] (numeric) = 1.1541825385876053460536186987574 absolute error = 4.46889014008875941771802e-08 relative error = 3.8719094802706031796248163468630e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1632.7MB, alloc=4.6MB, time=195.42 x[1] = 0.1549 y2[1] (analytic) = 1.154281297366330168752773385134 y2[1] (numeric) = 1.1542812973663313008084584655012 absolute error = 1.1320556850803672e-15 relative error = 9.8074506419130751551226836847723e-14 % h = 0.0001 y1[1] (analytic) = 1.154281297366330168752773385134 y1[1] (numeric) = 1.1542813422182959709681351577664 absolute error = 4.48519658022153617726324e-08 relative error = 3.8857049754294729925704323341333e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.155 y2[1] (analytic) = 1.1543800992911434199618980387873 y2[1] (numeric) = 1.1543800992911445644479599504845 absolute error = 1.1444860619116972e-15 relative error = 9.9142913379611989597954379249526e-14 % h = 0.0001 y1[1] (analytic) = 1.1543800992911434199618980387873 y1[1] (numeric) = 1.1543801443064695845918649352235 absolute error = 4.50153261646299668964362e-08 relative error = 3.8995237523820791440657431448385e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1636.5MB, alloc=4.6MB, time=195.99 NO POLE NO POLE x[1] = 0.1551 y2[1] (analytic) = 1.154478899672155679546089319819 y2[1] (numeric) = 1.1544788996721568365760536555476 absolute error = 1.1570299643357286e-15 relative error = 1.0022097109477681763070605316904e-13 % h = 0.0001 y1[1] (analytic) = 1.154478899672155679546089319819 y1[1] (numeric) = 1.1544789448511381614155208594398 absolute error = 4.51789824818694315396208e-08 relative error = 3.9133658046672987326843322242159e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1640.3MB, alloc=4.6MB, time=196.57 NO POLE NO POLE x[1] = 0.1552 y2[1] (analytic) = 1.1545776985083789436960479688953 y2[1] (numeric) = 1.1545776985083801133842681534058 absolute error = 1.1696882201845105e-15 relative error = 1.0130874879149780295012252239238e-13 % h = 0.0001 y1[1] (analytic) = 1.1545776985083789436960479688953 y1[1] (numeric) = 1.1545777438513136913619020501983 absolute error = 4.53429347476658540813030e-08 relative error = 3.9272311258259414228982159405382e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1644.1MB, alloc=4.6MB, time=197.13 NO POLE NO POLE x[1] = 0.1553 y2[1] (analytic) = 1.1546764957988252240503646681516 y2[1] (numeric) = 1.1546764957988264065120264761467 absolute error = 1.1824616618079951e-15 relative error = 1.0240631606430575312417570103121e-13 % h = 0.0001 y1[1] (analytic) = 1.1546764957988252240503646681516 y1[1] (numeric) = 1.1546765413060081797957740658222 absolute error = 4.55071829557454093976706e-08 relative error = 3.9411197094007487394949516107501e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1554 y2[1] (analytic) = 1.1547752915425065477053999247981 y2[1] (numeric) = 1.1547752915425077430565260152314 absolute error = 1.1953511260904333e-15 relative error = 1.0351374287665326111651483713175e-13 % h = 0.0001 y1[1] (analytic) = 1.1547752915425065477053999247981 y1[1] (numeric) = 1.154775337214233647533748895853 absolute error = 4.56717270998283489710549e-08 relative error = 3.9550315489363933622875437479358e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1647.9MB, alloc=4.6MB, time=197.82 NO POLE NO POLE x[1] = 0.1555 y2[1] (analytic) = 1.1548740857384349572251638001482 y2[1] (numeric) = 1.1548740857384361655826182669472 absolute error = 1.2083574544667990e-15 relative error = 1.0463109956218009556459974276277e-13 % h = 0.0001 y1[1] (analytic) = 1.1548740857384349572251638001482 y1[1] (numeric) = 1.1548741315750021308541647992399 absolute error = 4.58365671736290009990917e-08 relative error = 3.9689666379794784211169581092048e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1651.8MB, alloc=4.6MB, time=198.44 NO POLE NO POLE x[1] = 0.1556 y2[1] (analytic) = 1.1549728783856225106511954839702 y2[1] (numeric) = 1.1549728783856237321326884232139 absolute error = 1.2214814929392437e-15 relative error = 1.0575845682598057368076941845663e-13 % h = 0.0001 y1[1] (analytic) = 1.1549728783856225106511954839702 y1[1] (numeric) = 1.1549729243873256815069659879419 absolute error = 4.60017031708557705039717e-08 relative error = 3.9829249700785367911471831046436e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1655.6MB, alloc=4.6MB, time=199.04 NO POLE NO POLE x[1] = 0.1557 y2[1] (analytic) = 1.1550716694830812815124427140632 y2[1] (numeric) = 1.155071669483082516236534807644 absolute error = 1.2347240920935808e-15 relative error = 1.0689588574587286369108935242283e-13 % h = 0.0001 y1[1] (analytic) = 1.1550716694830812815124427140632 y1[1] (numeric) = 1.1550717156502163667235821558428 absolute error = 4.61671350852111394417796e-08 relative error = 3.9969065387840303884526396283830e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1659.4MB, alloc=4.6MB, time=199.64 x[1] = 0.1558 y2[1] (analytic) = 1.15517045902982335883514104096 y2[1] (numeric) = 1.1551704590298246069212481567587 absolute error = 1.2480861071157987e-15 relative error = 1.0804345777367013779308082766049e-13 % h = 0.0001 y1[1] (analytic) = 1.15517045902982335883514104096 y1[1] (numeric) = 1.1551705053626862692268078528816 absolute error = 4.63328629103916668119216e-08 relative error = 4.0109113376483494658977751144582e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1559 y2[1] (analytic) = 1.1552692470248608471526929376562 y2[1] (numeric) = 1.1552692470248621087210907462606 absolute error = 1.2615683978086044e-15 relative error = 1.0920124473645372172338558740076e-13 % h = 0.0001 y1[1] (analytic) = 1.1552692470248608471526929376562 y1[1] (numeric) = 1.1552692935237474872406817042986 absolute error = 4.64988866400879887666424e-08 relative error = 4.0249393602258119093087988949739e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1663.2MB, alloc=4.6MB, time=200.25 NO POLE NO POLE x[1] = 0.156 y2[1] (analytic) = 1.1553680334672058665155467542681 y2[1] (numeric) = 1.155368033467207141687375362264 absolute error = 1.2751718286079959e-15 relative error = 1.1036931883784809264809607572054e-13 % h = 0.0001 y1[1] (analytic) = 1.1553680334672058665155467542681 y1[1] (numeric) = 1.1553680801324121345003654748987 absolute error = 4.66652062679848187206306e-08 relative error = 4.0389906000726625339373255305561e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1667.0MB, alloc=4.6MB, time=200.85 NO POLE NO POLE x[1] = 0.1561 y2[1] (analytic) = 1.1554668183558705525010755175196 y2[1] (numeric) = 1.1554668183558718413983441173848 absolute error = 1.2888972685998652e-15 relative error = 1.1154775265929788009791411213439e-13 % h = 0.0001 y1[1] (analytic) = 1.1554668183558705525010755175196 y1[1] (numeric) = 1.1554668651876923402620229782331 absolute error = 4.68318217877609474607135e-08 relative error = 4.0530650507470723812158746660513e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1670.8MB, alloc=4.6MB, time=201.45 NO POLE NO POLE x[1] = 0.1562 y2[1] (analytic) = 1.1555656016898670562234555749608 y2[1] (numeric) = 1.1555656016898683589690471115902 absolute error = 1.3027455915366294e-15 relative error = 1.1273661916134665245247030317522e-13 % h = 0.0001 y1[1] (analytic) = 1.1555656016898670562234555749608 y1[1] (numeric) = 1.1555656486886002493126988306009 absolute error = 4.69987331930892432556401e-08 relative error = 4.0671627058091380158049855953208e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1563 y2[1] (analytic) = 1.1556643834682075443435450838176 y2[1] (numeric) = 1.1556643834682088610612209377105 absolute error = 1.3167176758538929e-15 relative error = 1.1393599168491774754371580366279e-13 % h = 0.0001 y1[1] (analytic) = 1.1556643834682075443435450838176 y1[1] (numeric) = 1.155664430634148021980197049771 absolute error = 4.71659404776366519659534e-08 relative error = 4.0812835588208808229319038827554e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1674.6MB, alloc=4.6MB, time=202.04 NO POLE NO POLE x[1] = 0.1564 y2[1] (analytic) = 1.1557631636899041990787623443748 y2[1] (numeric) = 1.1557631636899055298931670315135 absolute error = 1.3308144046871387e-15 relative error = 1.1514594395259697315704768380242e-13 % h = 0.0001 y1[1] (analytic) = 1.1557631636899041990787623443748 y1[1] (numeric) = 1.1557632110233478341429594983265 absolute error = 4.73334436350641971539517e-08 relative error = 4.0954276033462463060206762649099e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1678.5MB, alloc=4.6MB, time=202.65 NO POLE NO POLE x[1] = 0.1565 y2[1] (analytic) = 1.1558619423539692182129639777943 y2[1] (numeric) = 1.1558619423539705632496298662424 absolute error = 1.3450366658884481e-15 relative error = 1.1636655006991711579825656186454e-13 % h = 0.0001 y1[1] (analytic) = 1.1558619423539692182129639777943 y1[1] (numeric) = 1.1558619898552118772399441715322 absolute error = 4.75012426590269801937379e-08 relative error = 4.1095948329511033846134295854886e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1682.3MB, alloc=4.6MB, time=203.26 NO POLE NO POLE x[1] = 0.1566 y2[1] (analytic) = 1.1559607194594148151063229482676 y2[1] (numeric) = 1.1559607194594161744916749915198 absolute error = 1.3593853520432522e-15 relative error = 1.1759788452664455081998065482827e-13 % h = 0.0001 y1[1] (analytic) = 1.1559607194594148151063229482676 y1[1] (numeric) = 1.1559607671287523582805033296266 absolute error = 4.76693375431741803813590e-08 relative error = 4.1237852412032436925828864749728e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1686.1MB, alloc=4.6MB, time=203.86 x[1] = 0.1567 y2[1] (analytic) = 1.1560594950052532187052064294063 y2[1] (numeric) = 1.1560594950052545925665669165174 absolute error = 1.3738613604871111e-15 relative error = 1.1884002219806759804560228451207e-13 % h = 0.0001 y1[1] (analytic) = 1.1560594950052532187052064294063 y1[1] (numeric) = 1.1560595428429814998542614744394 absolute error = 4.78377282811490550450331e-08 relative error = 4.1379988216723808766357465752720e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1568 y2[1] (analytic) = 1.1561582689904966735520535147698 y2[1] (numeric) = 1.1561582689904980620176468372936 absolute error = 1.3884655933225238e-15 relative error = 1.2009303834628688137465591188109e-13 % h = 0.0001 y1[1] (analytic) = 1.1561582689904966735520535147698 y1[1] (numeric) = 1.1561583169969115401409931702362 absolute error = 4.80064148665889396554664e-08 relative error = 4.1522355679301498951070121076859e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1689.9MB, alloc=4.6MB, time=204.46 NO POLE NO POLE x[1] = 0.1569 y2[1] (analytic) = 1.1562570414141574397952527724332 y2[1] (numeric) = 1.1562570414141588429942102081999 absolute error = 1.4031989574357667e-15 relative error = 1.2135700862150750959890243984668e-13 % h = 0.0001 y1[1] (analytic) = 1.1562570414141574397952527724332 y1[1] (numeric) = 1.1562570895895547329205007086911 absolute error = 4.81753972931252479362579e-08 relative error = 4.1664954735501063170449213747827e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1693.7MB, alloc=4.6MB, time=205.06 NO POLE NO POLE x[1] = 0.157 y2[1] (analytic) = 1.1563558122752477931990196434946 y2[1] (numeric) = 1.1563558122752492112613841572575 absolute error = 1.4180623645137629e-15 relative error = 1.2263200906333326764111541658727e-13 % h = 0.0001 y1[1] (analytic) = 1.1563558122752477931990196434946 y1[1] (numeric) = 1.1563558606199233475824916178891 absolute error = 4.83446755543834719743945e-08 relative error = 4.1807785321077256215865863883588e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1697.5MB, alloc=4.6MB, time=205.66 NO POLE NO POLE x[1] = 0.1571 y2[1] (analytic) = 1.1564545815727800251532736844253 y2[1] (numeric) = 1.1564545815727814582100047454053 absolute error = 1.4330567310609800e-15 relative error = 1.2391811610206261817913477121311e-13 % h = 0.0001 y1[1] (analytic) = 1.1564545815727800251532736844253 y1[1] (numeric) = 1.1564546300870296691364560152582 absolute error = 4.85142496439831823308329e-08 relative error = 4.1950847371804024976238859602537e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1572 y2[1] (analytic) = 1.1565533493057664426835156531618 y2[1] (numeric) = 1.15655334930576789086649406952 absolute error = 1.4481829784163582e-15 relative error = 1.2521540655998666825613309990002e-13 % h = 0.0001 y1[1] (analytic) = 1.1565533493057664426835156531618 y1[1] (numeric) = 1.1565533979898859982215438043342 absolute error = 4.86841195555380281511724e-08 relative error = 4.2094140823474501437598316494486e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1701.3MB, alloc=4.6MB, time=206.25 NO POLE NO POLE x[1] = 0.1573 y2[1] (analytic) = 1.156652115473219368460704438843 y2[1] (numeric) = 1.1566521154732208319027372091105 absolute error = 1.4634420327702675e-15 relative error = 1.2652395765268899600330182329731e-13 % h = 0.0001 y1[1] (analytic) = 1.156652115473219368460704438843 y1[1] (numeric) = 1.1566521643275046511164417152582 absolute error = 4.88542852826557372764152e-08 relative error = 4.2237665611900995685549753660671e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1705.2MB, alloc=4.6MB, time=206.85 NO POLE NO POLE x[1] = 0.1574 y2[1] (analytic) = 1.1567508800741511408111338350921 y2[1] (numeric) = 1.1567508800741526196459590165871 absolute error = 1.4788348251814950e-15 relative error = 1.2784384699034742286081658282084e-13 % h = 0.0001 y1[1] (analytic) = 1.1567508800741511408111338350921 y1[1] (numeric) = 1.1567509290988979597492501889082 absolute error = 4.90247468189381163538161e-08 relative error = 4.2381421672914988910638858862145e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1709.0MB, alloc=4.6MB, time=207.46 NO POLE NO POLE x[1] = 0.1575 y2[1] (analytic) = 1.1568496431075741137263091567458 y2[1] (numeric) = 1.1568496431075756080886007510067 absolute error = 1.4943622915942609e-15 relative error = 1.2917515257903760916477999955459e-13 % h = 0.0001 y1[1] (analytic) = 1.1568496431075741137263091567458 y1[1] (numeric) = 1.1568496923030782717073601045663 absolute error = 4.91955041579810509478205e-08 relative error = 4.2525408942367126416614621668836e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1712.8MB, alloc=4.6MB, time=208.00 x[1] = 0.1576 y2[1] (analytic) = 1.1569484045725006568728236999304 y2[1] (numeric) = 1.1569484045725021668981965551958 absolute error = 1.5100253728552654e-15 relative error = 1.3051795282203866221478157822430e-13 % h = 0.0001 y1[1] (analytic) = 1.1569484045725006568728236999304 y1[1] (numeric) = 1.1569484539390579502473293510228 absolute error = 4.93665572933745056510924e-08 relative error = 4.2669627356127210631590935035628e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1577 y2[1] (analytic) = 1.1570471644679431556022350453884 y2[1] (numeric) = 1.1570471644679446814272497761521 absolute error = 1.5258250147307637e-15 relative error = 1.3187232652114051367320856877836e-13 % h = 0.0001 y1[1] (analytic) = 1.1570471644679431556022350453884 y1[1] (numeric) = 1.1570472140058493743047592410181 absolute error = 4.95379062187025241956297e-08 relative error = 4.2814076850084194122102962668683e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1716.6MB, alloc=4.6MB, time=208.51 NO POLE NO POLE x[1] = 0.1578 y2[1] (analytic) = 1.157145922792914010960941204954 y2[1] (numeric) = 1.1571459227929155527231091286259 absolute error = 1.5417621679236719e-15 relative error = 1.3323835287795330726293030066502e-13 % h = 0.0001 y1[1] (analytic) = 1.157145922792914010960941204954 y1[1] (numeric) = 1.1571459725024649385041707689238 absolute error = 4.97095509275432295639698e-08 relative error = 4.2958757360146172610059497775787e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1720.4MB, alloc=4.6MB, time=209.03 NO POLE NO POLE x[1] = 0.1579 y2[1] (analytic) = 1.1572446795464256397000566110812 y2[1] (numeric) = 1.1572446795464271975378447017828 absolute error = 1.5578377880907016e-15 relative error = 1.3461611149521860550485281534144e-13 % h = 0.0001 y1[1] (analytic) = 1.1572446795464256397000566110812 y1[1] (numeric) = 1.1572447294279170531688807115642 absolute error = 4.98814914134688241004830e-08 relative error = 4.3103668822240377992587785078885e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1724.2MB, alloc=4.6MB, time=209.56 NO POLE NO POLE x[1] = 0.158 y2[1] (analytic) = 1.1573434347274904742852879493246 y2[1] (numeric) = 1.1573434347274920483381238088489 absolute error = 1.5740528358595243e-15 relative error = 1.3600568237812250950329876421905e-13 % h = 0.0001 y1[1] (analytic) = 1.1573434347274904742852879493246 y1[1] (numeric) = 1.1573434847812181443308775720795 absolute error = 5.00537276700455896227549e-08 relative error = 4.3248811172313171364770477141985e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1581 y2[1] (analytic) = 1.1574421883351209629068098336739 y2[1] (numeric) = 1.1574421883351225533150866796395 absolute error = 1.5904082768459656e-15 relative error = 1.3740714593561069068598837363992e-13 % h = 0.0001 y1[1] (analytic) = 1.1574421883351209629068098336739 y1[1] (numeric) = 1.1574422385613806537406973667321 absolute error = 5.02262596908338875330582e-08 relative error = 4.3394184346330036045273704902748e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1728.0MB, alloc=4.6MB, time=210.07 NO POLE NO POLE x[1] = 0.1582 y2[1] (analytic) = 1.1575409403683295694891403246437 y2[1] (numeric) = 1.1575409403683311763942219958728 absolute error = 1.6069050816712291e-15 relative error = 1.3882058298170532476727518407821e-13 % h = 0.0001 y1[1] (analytic) = 1.1575409403683295694891403246437 y1[1] (numeric) = 1.1575409907674170388772992545567 absolute error = 5.03990874693881589299130e-08 relative error = 4.3539788280275570604864119711869e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1731.9MB, alloc=4.6MB, time=210.60 NO POLE NO POLE x[1] = 0.1583 y2[1] (analytic) = 1.1576396908261287737010162900206 y2[1] (numeric) = 1.1576396908261303972452422691695 absolute error = 1.6235442259791489e-15 relative error = 1.4024607473682383182740274471179e-13 % h = 0.0001 y1[1] (analytic) = 1.1576396908261287737010162900206 y1[1] (numeric) = 1.157639741398339772957941009756 absolute error = 5.05722109992569247197354e-08 relative error = 4.3685622910153481897813370115504e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1735.7MB, alloc=4.6MB, time=211.12 NO POLE NO POLE x[1] = 0.1584 y2[1] (analytic) = 1.1577384397075310709652686081672 y2[1] (numeric) = 1.1577384397075327112919590616401 absolute error = 1.6403266904534729e-15 relative error = 1.4168370282909961150473841536296e-13 % h = 0.0001 y1[1] (analytic) = 1.1577384397075310709652686081672 y1[1] (numeric) = 1.1577384904531613449480543367432 absolute error = 5.07456302739827857285760e-08 relative error = 4.3831688171986578096190032210351e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1739.5MB, alloc=4.6MB, time=211.63 x[1] = 0.1585 y2[1] (analytic) = 1.1578371870115489724686972137856 y2[1] (numeric) = 1.1578371870115506297221580489608 absolute error = 1.6572534608351752e-15 relative error = 1.4313354929570462533419821124436e-13 % h = 0.0001 y1[1] (analytic) = 1.1578371870115489724686972137856 y1[1] (numeric) = 1.1578372379308942595711200277319 absolute error = 5.09193452871024228139463e-08 relative error = 4.3977984001816761727035902933151e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1586 y2[1] (analytic) = 1.1579359327371950051719459860416 y2[1] (numeric) = 1.1579359327371966794974739258392 absolute error = 1.6743255279397976e-15 relative error = 1.4459569658417382517911953387735e-13 % h = 0.0001 y1[1] (analytic) = 1.1579359327371950051719459860416 y1[1] (numeric) = 1.1579359838305510373185429627757 absolute error = 5.10933560321465969767341e-08 relative error = 4.4124510335705022712426244723108e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1743.3MB, alloc=4.6MB, time=212.13 NO POLE NO POLE x[1] = 0.1587 y2[1] (analytic) = 1.1580346768834817118193774789494 y2[1] (numeric) = 1.1580346768834834033632651537709 absolute error = 1.6915438876748215e-15 relative error = 1.4607022755373153896384987069162e-13 % h = 0.0001 y1[1] (analytic) = 1.1580346768834817118193774789494 y1[1] (numeric) = 1.1580347281511442144595269521579 absolute error = 5.12676625026401494732085e-08 relative error = 4.4271267109731431412413138301409e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1747.1MB, alloc=4.6MB, time=212.64 NO POLE NO POLE x[1] = 0.1588 y2[1] (analytic) = 1.15813341944942165094894749392 y2[1] (numeric) = 1.158133419449423359858488550989 absolute error = 1.7089095410570690e-15 relative error = 1.4755722547661970897400679760935e-13 % h = 0.0001 y1[1] (analytic) = 1.15813341944942165094894749392 y1[1] (numeric) = 1.1581334708916863430509494210327 absolute error = 5.14422646921020019271127e-08 relative error = 4.4418254259995131670849028377961e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1750.9MB, alloc=4.6MB, time=213.15 NO POLE NO POLE x[1] = 0.1589 y2[1] (analytic) = 1.1582321604340273969020794943738 y2[1] (numeric) = 1.1582321604340291233255737245067 absolute error = 1.7264234942301329e-15 relative error = 1.4905677403942795576756012686621e-13 % h = 0.0001 y1[1] (analytic) = 1.1582321604340273969020794943738 y1[1] (numeric) = 1.1582322120511899909472359362195 absolute error = 5.16171625940451564418457e-08 relative error = 4.4565471722614333864090052690843e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.159 y2[1] (analytic) = 1.1583308998363115398335388623175 y2[1] (numeric) = 1.1583308998363132839202973441554 absolute error = 1.7440867584818379e-15 relative error = 1.5056895734442566521930702760623e-13 % h = 0.0001 y1[1] (analytic) = 1.1583308998363115398335388623175 y1[1] (numeric) = 1.1583309516286677418102345750514 absolute error = 5.17923562019766957127339e-08 relative error = 4.4712919433726307952578658523473e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1754.8MB, alloc=4.6MB, time=213.66 NO POLE NO POLE x[1] = 0.1591 y2[1] (analytic) = 1.1584296376552866857213069967886 y2[1] (numeric) = 1.1584296376552884476216572585182 absolute error = 1.7619003502617296e-15 relative error = 1.5209385991089580404133628693326e-13 % h = 0.0001 y1[1] (analytic) = 1.1584296376552866857213069967886 y1[1] (numeric) = 1.1584296896231321951190901361789 absolute error = 5.19678455093977831393903e-08 relative error = 4.4860597329487376535302162290035e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1758.6MB, alloc=4.6MB, time=214.16 NO POLE NO POLE x[1] = 0.1592 y2[1] (analytic) = 1.1585283738899654563764552540673 y2[1] (numeric) = 1.1585283738899672362417464526615 absolute error = 1.7798652911985942e-15 relative error = 1.5363156667647071311644512211246e-13 % h = 0.0001 y1[1] (analytic) = 1.1585283738899654563764552540673 y1[1] (numeric) = 1.1585284260335959661801181922304 absolute error = 5.21436305098036629381631e-08 relative error = 4.5008505346072907907127448824201e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1762.4MB, alloc=4.6MB, time=214.71 NO POLE NO POLE x[1] = 0.1593 y2[1] (analytic) = 1.1586271085393604894530187295574 y2[1] (numeric) = 1.1586271085393622874356268475649 absolute error = 1.7979826081180075e-15 relative error = 1.5518216299846975668272316950861e-13 % h = 0.0001 y1[1] (analytic) = 1.1586271085393604894530187295574 y1[1] (numeric) = 1.1586271608590716861366789842304 absolute error = 5.23197111966836602546730e-08 relative error = 4.5156643419677309119009848937790e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1766.2MB, alloc=4.6MB, time=215.22 x[1] = 0.1594 y2[1] (analytic) = 1.1587258416024844384578698812381 y2[1] (numeric) = 1.1587258416024862547112029411512 absolute error = 1.8162533330599131e-15 relative error = 1.5674573465523881768299337190781e-13 % h = 0.0001 y1[1] (analytic) = 1.1587258416024844384578698812381 y1[1] (numeric) = 1.1587258940985720019790511576772 absolute error = 5.24960875635211812764391e-08 relative error = 4.5305011486514019041074752755165e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1595 y2[1] (analytic) = 1.1588245730783499727605919945865 y2[1] (numeric) = 1.1588245730783518074390952908173 absolute error = 1.8346785032962308e-15 relative error = 1.5832236784749172452330849698385e-13 % h = 0.0001 y1[1] (analytic) = 1.1588245730783499727605919945865 y1[1] (numeric) = 1.1588246257511095765543053401808 absolute error = 5.26727596037937133455943e-08 relative error = 4.5453609482815501428571380048061e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1770.0MB, alloc=4.6MB, time=215.74 NO POLE NO POLE x[1] = 0.1596 y2[1] (analytic) = 1.1589233029659697776033524888741 y2[1] (numeric) = 1.158923302965971630862513837368 absolute error = 1.8532591613484939e-15 relative error = 1.5991214919965349596666975188923e-13 % h = 0.0001 y1[1] (analytic) = 1.1589233029659697776033524888741 y1[1] (numeric) = 1.1589233558156970885761775605626 absolute error = 5.28497273109728250716885e-08 relative error = 4.5602437344833237990695885520480e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1773.8MB, alloc=4.6MB, time=216.26 NO POLE NO POLE x[1] = 0.1597 y2[1] (analytic) = 1.1590220312643565541107760647364 y2[1] (numeric) = 1.1590220312643584261071310702533 absolute error = 1.8719963550055169e-15 relative error = 1.6151516576120553254844635828280e-13 % h = 0.0001 y1[1] (analytic) = 1.1590220312643565541107760647364 y1[1] (numeric) = 1.159022084291347232634942509318 absolute error = 5.30269906785241664445816e-08 relative error = 4.5751495008837721462284171055703e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1777.6MB, alloc=4.6MB, time=216.79 NO POLE NO POLE x[1] = 0.1598 y2[1] (analytic) = 1.1591207579725230192998176929189 y2[1] (numeric) = 1.1591207579725249101909550340105 absolute error = 1.8908911373410916e-15 relative error = 1.6313150500803258085961860118613e-13 % h = 0.0001 y1[1] (analytic) = 1.1591207579725230192998176929189 y1[1] (numeric) = 1.1591208111770727192072866403433 absolute error = 5.32045496999074689474244e-08 relative error = 4.5900782411118448678371411857168e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1599 y2[1] (analytic) = 1.1592194830894819060896354440989 y2[1] (numeric) = 1.159219483089483816034202175813 absolute error = 1.9099445667317141e-15 relative error = 1.6476125484377168535465266081749e-13 % h = 0.0001 y1[1] (analytic) = 1.1592194830894819060896354440989 y1[1] (numeric) = 1.159219536471886274666181113828 absolute error = 5.33824043685765456697291e-08 relative error = 4.6050299487983913651618410785131e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1781.5MB, alloc=4.6MB, time=217.30 NO POLE NO POLE x[1] = 0.16 y2[1] (analytic) = 1.159318206614245963311463159686 y2[1] (numeric) = 1.1593182066142478924691700340261 absolute error = 1.9291577068743401e-15 relative error = 1.6640450360116290228097897454303e-13 % h = 0.0001 y1[1] (analytic) = 1.159318206614245963311463159686 y1[1] (numeric) = 1.1593182601748006412907545802141 absolute error = 5.35605546779792914205281e-08 relative error = 4.6200046175761600652602307178103e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1785.3MB, alloc=4.6MB, time=217.83 NO POLE NO POLE x[1] = 0.1601 y2[1] (analytic) = 1.1594169285458279557184829635012 y2[1] (numeric) = 1.1594169285458299042501097676723 absolute error = 1.9485316268041711e-15 relative error = 1.6806134004340199898202716771819e-13 % h = 0.0001 y1[1] (analytic) = 1.1594169285458279557184829635012 y1[1] (numeric) = 1.1594169822848285772761658051232 absolute error = 5.37390006215576828416220e-08 relative error = 4.6350022410797977292971065431938e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1789.1MB, alloc=4.6MB, time=218.35 NO POLE NO POLE x[1] = 0.1602 y2[1] (analytic) = 1.1595156488832406639956976142374 y2[1] (numeric) = 1.1595156488832426320630985267058 absolute error = 1.9680674009124684e-15 relative error = 1.6973185336549487008927362760622e-13 % h = 0.0001 y1[1] (analytic) = 1.1595156488832406639956976142374 y1[1] (numeric) = 1.1595157028009828567434761351528 absolute error = 5.39177421927477785209154e-08 relative error = 4.6500228129458487611459185207202e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1792.9MB, alloc=4.6MB, time=218.88 x[1] = 0.1603 y2[1] (analytic) = 1.1596143676254968847698026986005 y2[1] (numeric) = 1.1596143676254988725359116629993 absolute error = 1.9877661089643988e-15 relative error = 1.7141613319561400595070229488924e-13 % h = 0.0001 y1[1] (analytic) = 1.1596143676254968847698026986005 y1[1] (numeric) = 1.1596144217222762697495218044438 absolute error = 5.40967793849797191058433e-08 relative error = 4.6650663268127545162765698565041e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1604 y2[1] (analytic) = 1.1597130847716094306190586650347 y2[1] (numeric) = 1.1597130847716114382478947819427 absolute error = 2.0076288361169080e-15 relative error = 1.7311426959645666721187380546800e-13 % h = 0.0001 y1[1] (analytic) = 1.1597130847716094306190586650347 y1[1] (numeric) = 1.1597131390477216222967860819191 absolute error = 5.42761121916777274168844e-08 relative error = 4.6801327763208526109289913565145e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1796.7MB, alloc=4.6MB, time=219.39 NO POLE NO POLE x[1] = 0.1605 y2[1] (analytic) = 1.1598118003205911300831626979314 y2[1] (numeric) = 1.1598118003205931577398356345561 absolute error = 2.0276566729366247e-15 relative error = 1.7482635306660502324778821800467e-13 % h = 0.0001 y1[1] (analytic) = 1.1598118003205911300831626979314 y1[1] (numeric) = 1.1598118547763317363432712590959 absolute error = 5.44557406062601085611645e-08 relative error = 4.6952221551123762315726315986167e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1800.5MB, alloc=4.6MB, time=219.90 NO POLE NO POLE x[1] = 0.1606 y2[1] (analytic) = 1.1599105142714548276731204322241 y2[1] (numeric) = 1.1599105142714568755238358500177 absolute error = 2.0478507154177936e-15 relative error = 1.7655247454188809814337865730499e-13 % h = 0.0001 y1[1] (analytic) = 1.1599105142714548276731204322241 y1[1] (numeric) = 1.1599105689071194498123704783722 absolute error = 5.46356646221392500461481e-08 relative error = 4.7103344568314534446515642770707e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1804.3MB, alloc=4.6MB, time=220.44 NO POLE NO POLE x[1] = 0.1607 y2[1] (analytic) = 1.1600092266232133838811175082702 y2[1] (numeric) = 1.1600092266232154520931825085087 absolute error = 2.0682120650002385e-15 relative error = 1.7829272539674562664565160870835e-13 % h = 0.0001 y1[1] (analytic) = 1.1600092266232133838811175082702 y1[1] (numeric) = 1.160009281439097616602739401689 absolute error = 5.48158842327216218934188e-08 relative error = 4.7254696751241065066151297779491e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1608 y2[1] (analytic) = 1.1601079373748796751903909669208 y2[1] (numeric) = 1.1601079373748817639322195542753 absolute error = 2.0887418285873545e-15 relative error = 1.8004719744559373280337761472585e-13 % h = 0.0001 y1[1] (analytic) = 1.1601079373748796751903909669208 y1[1] (numeric) = 1.1601079923712791065981677194696 absolute error = 5.49963994314077767525488e-08 relative error = 4.7406278036382511742340022201645e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1808.2MB, alloc=4.6MB, time=220.96 NO POLE NO POLE x[1] = 0.1609 y2[1] (analytic) = 1.1602066465254665940851004846801 y2[1] (numeric) = 1.1602066465254687035262190488102 absolute error = 2.1094411185641301e-15 relative error = 1.8181598294419249921455840986989e-13 % h = 0.0001 y1[1] (analytic) = 1.1602066465254665940851004846801 y1[1] (numeric) = 1.1602067017026768056774504997371 absolute error = 5.51772102115923500150570e-08 relative error = 4.7558088360236960152015042970278e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1812.0MB, alloc=4.6MB, time=221.49 NO POLE NO POLE x[1] = 0.161 y2[1] (analytic) = 1.1603053540739870490601994488555 y2[1] (numeric) = 1.1603053540739891793712522640543 absolute error = 2.1303110528151988e-15 relative error = 1.8359917459101539133475585096788e-13 % h = 0.0001 y1[1] (analytic) = 1.1603053540739870490601994488555 y1[1] (numeric) = 1.1603054094323036157242593773113 absolute error = 5.53583165666640599284558e-08 relative error = 4.7710127659321417190200440641664e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1815.8MB, alloc=4.6MB, time=222.00 NO POLE NO POLE x[1] = 0.1611 y2[1] (analytic) = 1.1604040600194539646313058726003 y2[1] (numeric) = 1.16040406001945611598406061552 absolute error = 2.1513527547429197e-15 relative error = 1.8539686552862049270600729024968e-13 % h = 0.0001 y1[1] (analytic) = 1.1604040600194539646313058726003 y1[1] (numeric) = 1.1604041155591724546370135829868 absolute error = 5.55397184900057077103865e-08 relative error = 4.7862395870171804081725306493687e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1819.6MB, alloc=4.6MB, time=222.52 NO POLE NO POLE x[1] = 0.1612 y2[1] (analytic) = 1.1605027643608802813445731497485 y2[1] (numeric) = 1.1605027643608824539119264352375 absolute error = 2.1725673532854890e-15 relative error = 1.8720914934502371380314061014982e-13 % h = 0.0001 y1[1] (analytic) = 1.1605027643608802813445731497485 y1[1] (numeric) = 1.160502820082296256338750812593 absolute error = 5.57214159749941776628445e-08 relative error = 4.8014892929342949495787379571541e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1613 y2[1] (analytic) = 1.1606014670972789557865606493458 y2[1] (numeric) = 1.160601467097281149742543584425 absolute error = 2.1939559829350792e-15 relative error = 1.8903612007507369765641864020489e-13 % h = 0.0001 y1[1] (analytic) = 1.1606014670972789557865606493458 y1[1] (numeric) = 1.1606015230006879707869979358376 absolute error = 5.59034090150004372864918e-08 relative error = 4.8167618773408582663362666411849e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1823.4MB, alloc=4.6MB, time=223.02 NO POLE NO POLE x[1] = 0.1614 y2[1] (analytic) = 1.1607001682276629605941041497754 y2[1] (numeric) = 1.1607001682276651761138879057848 absolute error = 2.2155197837560094e-15 relative error = 1.9087787220182871422021593222706e-13 % h = 0.0001 y1[1] (analytic) = 1.1607001682276629605941041497754 y1[1] (numeric) = 1.1607002243133605639836415448348 absolute error = 5.60856976033895373950594e-08 relative error = 4.8320573338961326497461942250583e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1827.2MB, alloc=4.6MB, time=223.56 NO POLE NO POLE x[1] = 0.1615 y2[1] (analytic) = 1.1607988677510452844641861123814 y2[1] (numeric) = 1.1607988677510475217240875153262 absolute error = 2.2372599014029448e-15 relative error = 1.9273450065793537867684536436218e-13 % h = 0.0001 y1[1] (analytic) = 1.1607988677510452844641861123814 y1[1] (numeric) = 1.1607989240193270179847983422194 absolute error = 5.62682817335206122298380e-08 relative error = 4.8473756562612690716231413506111e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1831.0MB, alloc=4.6MB, time=224.09 NO POLE NO POLE x[1] = 0.1616 y2[1] (analytic) = 1.1608975656664389321638057944909 y2[1] (numeric) = 1.160897565666441191341292933616 absolute error = 2.2591774871391251e-15 relative error = 1.9460610082700916680128111661945e-13 % h = 0.0001 y1[1] (analytic) = 1.1608975656664389321638057944909 y1[1] (numeric) = 1.1608976221176003309106853687484 absolute error = 5.64511613987468795742575e-08 relative error = 4.8627168380993064968896631919657e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1617 y2[1] (analytic) = 1.1609962619728569245398492017358 y2[1] (numeric) = 1.1609962619728592058135470563588 absolute error = 2.2812736978546230e-15 relative error = 1.9649276854501682973031943920657e-13 % h = 0.0001 y1[1] (analytic) = 1.1609962619728569245398492017358 y1[1] (numeric) = 1.1609963186071935169554900702913 absolute error = 5.66343365924156408685555e-08 relative error = 4.8780808730751711964548492751014e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1834.9MB, alloc=4.6MB, time=224.61 NO POLE NO POLE x[1] = 0.1618 y2[1] (analytic) = 1.1610949566693122985289588795754 y2[1] (numeric) = 1.1610949566693146020786549642079 absolute error = 2.3035496960846325e-15 relative error = 1.9839460010166068122185854233576e-13 % h = 0.0001 y1[1] (analytic) = 1.1610949566693122985289588795754 y1[1] (numeric) = 1.1610950134871196063972402041098 absolute error = 5.68178073078682813245344e-08 relative error = 4.8934677548556760603769633263644e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1838.7MB, alloc=4.6MB, time=225.16 NO POLE NO POLE x[1] = 0.1619 y2[1] (analytic) = 1.1611936497548181071674035439223 y2[1] (numeric) = 1.1611936497548204331740535717082 absolute error = 2.3260066500277859e-15 relative error = 2.0031169224176466161379403532273e-13 % h = 0.0001 y1[1] (analytic) = 1.1611936497548181071674035439223 y1[1] (numeric) = 1.1611937067563916456076735843292 absolute error = 5.70015735384402700404069e-08 relative error = 4.9088774771095199113099720910700e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1842.5MB, alloc=4.6MB, time=225.69 NO POLE NO POLE x[1] = 0.162 y2[1] (analytic) = 1.1612923412283874196009475507708 y2[1] (numeric) = 1.1612923412283897682466811152723 absolute error = 2.3486457335645015e-15 relative error = 2.0224414216666234970127026456851e-13 % h = 0.0001 y1[1] (analytic) = 1.1612923412283874196009475507708 y1[1] (numeric) = 1.1612923984140226970621076665023 absolute error = 5.71856352774611601157315e-08 relative error = 4.9243100335072868182339671454171e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1846.3MB, alloc=4.6MB, time=226.20 NO POLE NO POLE x[1] = 0.1621 y2[1] (analytic) = 1.1613910310890333210947202047317 y2[1] (numeric) = 1.1613910310890356925628464800913 absolute error = 2.3714681262753596e-15 relative error = 2.0419204753558671477873306957940e-13 % h = 0.0001 y1[1] (analytic) = 1.1613910310890333210947202047317 y1[1] (numeric) = 1.1613910884590258393493089711668 absolute error = 5.73699925182545887664351e-08 relative error = 4.9397654177214454104690962354199e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1622 y2[1] (analytic) = 1.1614897193357689130430849063724 y2[1] (numeric) = 1.1614897193357713075180983658815 absolute error = 2.3944750134595091e-15 relative error = 2.0615550646706180588733045551745e-13 % h = 0.0001 y1[1] (analytic) = 1.1614897193357689130430849063724 y1[1] (numeric) = 1.161489776890414167181362346298 absolute error = 5.75546452541382774399256e-08 relative error = 4.9552436234263481919731202755949e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1850.1MB, alloc=4.6MB, time=226.71 NO POLE NO POLE x[1] = 0.1623 y2[1] (analytic) = 1.161588405967607312979508138265 y2[1] (numeric) = 1.1615884059676097306470942913681 absolute error = 2.4176675861531031e-15 relative error = 2.0813461754029623942726628056233e-13 % h = 0.0001 y1[1] (analytic) = 1.161588405967607312979508138265 y1[1] (numeric) = 1.1615884637072007914035400685579 absolute error = 5.77395934784240319302929e-08 relative error = 4.9707446442982308559223246403000e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1853.9MB, alloc=4.6MB, time=227.24 NO POLE NO POLE x[1] = 0.1624 y2[1] (analytic) = 1.1616870909835616545864282896438 y2[1] (numeric) = 1.1616870909835640956334694374077 absolute error = 2.4410470411477639e-15 relative error = 2.1012947979657851855260935826590e-13 % h = 0.0001 y1[1] (analytic) = 1.1616870909835616545864282896438 y1[1] (numeric) = 1.1616871489083988390041707832421 absolute error = 5.79248371844177424935983e-08 relative error = 4.9862684740152115995756512754565e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1857.8MB, alloc=4.6MB, time=227.77 NO POLE NO POLE x[1] = 0.1625 y2[1] (analytic) = 1.1617857743826450877051243195721 y2[1] (numeric) = 1.1617857743826475523197053286506 absolute error = 2.4646145810090785e-15 relative error = 2.1214019274067427799555988830482e-13 % h = 0.0001 y1[1] (analytic) = 1.1617857743826450877051243195721 y1[1] (numeric) = 1.1617858324930214531245082828257 absolute error = 5.81103763654193839632536e-08 relative error = 5.0018151062572904394220301254937e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1626 y2[1] (analytic) = 1.1618844561638707783455842585219 y2[1] (numeric) = 1.161884456163873266716998353644 absolute error = 2.4883714140951221e-15 relative error = 2.1416685634222523806220247922700e-13 % h = 0.0001 y1[1] (analytic) = 1.1618844561638707783455842585219 y1[1] (numeric) = 1.1618845144600817930686001240093 absolute error = 5.82962110147230158654874e-08 relative error = 5.0173845347063485266105613097723e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1861.6MB, alloc=4.6MB, time=228.29 NO POLE NO POLE x[1] = 0.1627 y2[1] (analytic) = 1.1619831363262519086963735482651 y2[1] (numeric) = 1.1619831363262544210151281232778 absolute error = 2.5123187545750127e-15 relative error = 2.1620957103715013362354477739240e-13 % h = 0.0001 y1[1] (analytic) = 1.1619831363262519086963735482651 y1[1] (numeric) = 1.1619831948085930343131560831673 absolute error = 5.84823411256167825349022e-08 relative error = 5.0329767530461474626637246639026e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1865.4MB, alloc=4.6MB, time=228.82 NO POLE NO POLE x[1] = 0.1628 y2[1] (analytic) = 1.16208181486880167713450321998 y2[1] (numeric) = 1.1620818148688042135923256674744 absolute error = 2.5364578224474944e-15 relative error = 2.1826843772904741045665802880225e-13 % h = 0.0001 y1[1] (analytic) = 1.16208181486880167713450321998 y1[1] (numeric) = 1.1620818735375683685174164500984 absolute error = 5.86687666913829132301184e-08 relative error = 5.0485917549623286154731477276564e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1869.2MB, alloc=4.6MB, time=229.35 NO POLE NO POLE x[1] = 0.1629 y2[1] (analytic) = 1.162180491790533298235297910473 y2[1] (numeric) = 1.1621804917905358590251414700231 absolute error = 2.5607898435595501e-15 relative error = 2.2034355779059974817190181946135e-13 % h = 0.0001 y1[1] (analytic) = 1.162180491790533298235297910473 y1[1] (numeric) = 1.1621805506460210035330201599811 absolute error = 5.88554877052977222495081e-08 relative error = 5.0642295341424124355780486665276e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1873.0MB, alloc=4.6MB, time=229.89 NO POLE NO POLE x[1] = 0.163 y2[1] (analytic) = 1.1622791670904600027822637164169 y2[1] (numeric) = 1.1622791670904625880983133414614 absolute error = 2.5853160496250445e-15 relative error = 2.2243503306498048612968810398373e-13 % h = 0.0001 y1[1] (analytic) = 1.1622791670904600027822637164169 y1[1] (numeric) = 1.1622792261329641634138727634343 absolute error = 5.90425041606316090470174e-08 relative error = 5.0798900842757977727261091556781e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1631 y2[1] (analytic) = 1.162377840767595037776955886508 y2[1] (numeric) = 1.1623778407675976478146341299038 absolute error = 2.6100376782433958e-15 relative error = 2.2454296586726181362212604808390e-13 % h = 0.0001 y1[1] (analytic) = 1.162377840767595037776955886508 y1[1] (numeric) = 1.1623778999974110884260142345851 absolute error = 5.92298160506490583480771e-08 relative error = 5.0955733990537611927166356378225e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1876.8MB, alloc=4.6MB, time=230.42 NO POLE NO POLE x[1] = 0.1632 y2[1] (analytic) = 1.1624765128209516664488463514417 y2[1] (numeric) = 1.1624765128209543014048192697195 absolute error = 2.6349559729182778e-15 relative error = 2.2666745898582486956593368227062e-13 % h = 0.0001 y1[1] (analytic) = 1.1624765128209516664488463514417 y1[1] (numeric) = 1.1624765722383750350574866170449 absolute error = 5.94174233686086402656032e-08 relative error = 5.1112794721694562945259964774347e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1880.6MB, alloc=4.6MB, time=230.94 NO POLE NO POLE x[1] = 0.1633 y2[1] (analytic) = 1.1625751832495431682651910916102 y2[1] (numeric) = 1.1625751832495458283373741679608 absolute error = 2.6600721830763506e-15 relative error = 2.2880861568377159579872017897097e-13 % h = 0.0001 y1[1] (analytic) = 1.1625751832495431682651910916102 y1[1] (numeric) = 1.1625752428548692760282015076948 absolute error = 5.96053261077630104160846e-08 relative error = 5.1270082973179130277149784581762e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1884.5MB, alloc=4.6MB, time=231.46 NO POLE NO POLE x[1] = 0.1634 y2[1] (analytic) = 1.1626738520523828389408973424215 y2[1] (numeric) = 1.1626738520523855243284614284431 absolute error = 2.6853875640860216e-15 relative error = 2.3096653970033848920698080426287e-13 % h = 0.0001 y1[1] (analytic) = 1.1626738520523828389408973424215 y1[1] (numeric) = 1.1626739118459071002998073781824 absolute error = 5.97935242613589100357609e-08 relative error = 5.1427598681960370101181793399095e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1635 y2[1] (analytic) = 1.1627725192284839904483906371417 y2[1] (numeric) = 1.1627725192284867013517679133777 absolute error = 2.7109033772762360e-15 relative error = 2.3314133525231218281233361681089e-13 % h = 0.0001 y1[1] (analytic) = 1.1627725192284839904483906371417 y1[1] (numeric) = 1.1627725792105018130855567340301 absolute error = 5.99820178226371660968884e-08 relative error = 5.1585341785026088458151402858213e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1888.3MB, alloc=4.6MB, time=231.98 NO POLE NO POLE x[1] = 0.1636 y2[1] (analytic) = 1.1628711847768599510274816871633 y2[1] (numeric) = 1.1628711847768626876483716424592 absolute error = 2.7366208899552959e-15 relative error = 2.3533310703544677739069137551735e-13 % h = 0.0001 y1[1] (analytic) = 1.1628711847768599510274816871633 y1[1] (numeric) = 1.1628712449476667358601731112577 absolute error = 6.01708067848326914240944e-08 relative error = 5.1743312219382834433830941391946e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1892.1MB, alloc=4.6MB, time=232.52 NO POLE NO POLE x[1] = 0.1637 y2[1] (analytic) = 1.1629698486965240651952330995981 y2[1] (numeric) = 1.1629698486965268277366085293085 absolute error = 2.7625413754297104e-15 relative error = 2.3754196022588312900870970094869e-13 % h = 0.0001 y1[1] (analytic) = 1.1629698486965240651952330995981 y1[1] (numeric) = 1.1629699090564152063697179104195 absolute error = 6.03598911411744848108214e-08 relative error = 5.1901509922055893344313345735777e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1895.9MB, alloc=4.6MB, time=233.07 NO POLE NO POLE x[1] = 0.1638 y2[1] (analytic) = 1.1630685109864896937558259320989 y2[1] (numeric) = 1.1630685109864924824219389551731 absolute error = 2.7886661130230742e-15 relative error = 2.3976800048156987642326367171414e-13 % h = 0.0001 y1[1] (analytic) = 1.1630685109864896937558259320989 y1[1] (numeric) = 1.1630685715357605786414570679577 absolute error = 6.05492708848856311358588e-08 relative error = 5.2059934830089279924168671987393e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1899.7MB, alloc=4.6MB, time=233.61 NO POLE NO POLE x[1] = 0.1639 y2[1] (analytic) = 1.1631671716457702138104260848092 y2[1] (numeric) = 1.1631671716457730288068141797852 absolute error = 2.8149963880949760e-15 relative error = 2.4201133394368631913068259888360e-13 % h = 0.0001 y1[1] (analytic) = 1.1631671716457702138104260848092 y1[1] (numeric) = 1.1631672323847162229937275647733 absolute error = 6.07389460091833014799641e-08 relative error = 5.2218586880545731517413821922497e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.164 y2[1] (analytic) = 1.1632658306733790187670505293435 y2[1] (numeric) = 1.1632658306733818603005425892798 absolute error = 2.8415334920599363e-15 relative error = 2.4427206723806711063715451724587e-13 % h = 0.0001 y1[1] (analytic) = 1.1632658306733790187670505293435 y1[1] (numeric) = 1.1632658916022955260458037719161 absolute error = 6.09289165072787532425726e-08 relative error = 5.2377466010506701271293300849804e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1903.5MB, alloc=4.6MB, time=234.14 NO POLE NO POLE x[1] = 0.1641 y2[1] (analytic) = 1.1633644880683295183504333746986 y2[1] (numeric) = 1.163364488068332386629155781074 absolute error = 2.8682787224063754e-15 relative error = 2.4655030747662883469498743989371e-13 % h = 0.0001 y1[1] (analytic) = 1.1633644880683295183504333746986 y1[1] (numeric) = 1.1633645491875118907277636332945 absolute error = 6.11191823723773302585959e-08 relative error = 5.2536572157072351332869942017861e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1907.3MB, alloc=4.6MB, time=234.69 NO POLE NO POLE x[1] = 0.1642 y2[1] (analytic) = 1.1634631438296351386118917699982 y2[1] (numeric) = 1.1634631438296380338452744856085 absolute error = 2.8952333827156103e-15 relative error = 2.4884616225879835170797887414022e-13 % h = 0.0001 y1[1] (analytic) = 1.1634631438296351386118917699982 y1[1] (numeric) = 1.1634632051393787362903546853074 absolute error = 6.13097435976784629153092e-08 relative error = 5.2695905257361546048424275257543e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1911.2MB, alloc=4.6MB, time=235.22 NO POLE NO POLE x[1] = 0.1643 y2[1] (analytic) = 1.1635617979563093219391916439719 y2[1] (numeric) = 1.1635617979563122443379743248525 absolute error = 2.9223987826808806e-15 relative error = 2.5115973967294292290600536322096e-13 % h = 0.0001 y1[1] (analytic) = 1.1635617979563093219391916439719 y1[1] (numeric) = 1.1635618594569094983148599132985 absolute error = 6.15006001763756682693266e-08 relative error = 5.2855465248511845165660530696781e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1915.0MB, alloc=4.6MB, time=235.73 x[1] = 0.1644 y2[1] (analytic) = 1.1636604504473655270664132810686 y2[1] (numeric) = 1.1636604504473684768426514074743 absolute error = 2.9497762381264057e-15 relative error = 2.5349114829780230894251268764682e-13 % h = 0.0001 y1[1] (analytic) = 1.1636604504473655270664132810686 y1[1] (numeric) = 1.1636605121391176287229634447353 absolute error = 6.16917521016565501636667e-08 relative error = 5.3015252067679497038719933554229e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1645 y2[1] (analytic) = 1.1637591013018172290838167341078 y2[1] (numeric) = 1.1637591013018202064508877605777 absolute error = 2.9773670710264699e-15 relative error = 2.5584049720392254964327547132790e-13 % h = 0.0001 y1[1] (analytic) = 1.1637591013018172290838167341078 y1[1] (numeric) = 1.1637591631850165957866160790134 absolute error = 6.18831993667027993449056e-08 relative error = 5.3175265652039431835997477094923e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1918.8MB, alloc=4.6MB, time=236.26 NO POLE NO POLE x[1] = 0.1646 y2[1] (analytic) = 1.1638577505186779194477070733692 y2[1] (numeric) = 1.1638577505186809246203165979065 absolute error = 3.0051726095245373e-15 relative error = 2.5820789595509158721591455370690e-13 % h = 0.0001 y1[1] (analytic) = 1.1638577505186779194477070733692 y1[1] (numeric) = 1.1638578125936198841379006537876 absolute error = 6.20749419646901935804184e-08 relative error = 5.3335505938785254750761800063170e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1922.6MB, alloc=4.6MB, time=236.77 NO POLE NO POLE x[1] = 0.1647 y2[1] (analytic) = 1.1639563980969611059902994720207 y2[1] (numeric) = 1.1639563980969641391844874244178 absolute error = 3.0331941879523971e-15 relative error = 2.6059345460977678343171334048804e-13 % h = 0.0001 y1[1] (analytic) = 1.1639563980969611059902994720207 y1[1] (numeric) = 1.1639564603639409947788972477318 absolute error = 6.22669798887885977757111e-08 relative error = 5.3495972865129239214578482272644e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1926.4MB, alloc=4.6MB, time=237.29 NO POLE NO POLE x[1] = 0.1648 y2[1] (analytic) = 1.1640550440356803129295841277884 y2[1] (numeric) = 1.1640550440356833743627309771261 absolute error = 3.0614331468493377e-15 relative error = 2.6299728372256419226267128960620e-13 % h = 0.0001 y1[1] (analytic) = 1.1640550440356803129295841277884 y1[1] (numeric) = 1.1640551064949934450915482196279 absolute error = 6.24593131321619640918395e-08 relative error = 5.3656666368302320113532518572218e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1649 y2[1] (analytic) = 1.1641536883338490808791910207686 y2[1] (numeric) = 1.1641536883338521707700240021188 absolute error = 3.0898908329813502e-15 relative error = 2.6541949434559963852925742091802e-13 % h = 0.0001 y1[1] (analytic) = 1.1641536883338490808791910207686 y1[1] (numeric) = 1.164153750985790768847523083686 absolute error = 6.26519416879683320629174e-08 relative error = 5.3817586385554087007250630341835e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1930.2MB, alloc=4.6MB, time=237.80 NO POLE NO POLE x[1] = 0.165 y2[1] (analytic) = 1.1642523309904809668582545072829 y2[1] (numeric) = 1.164252330990484085426853867645 absolute error = 3.1185685993603621e-15 relative error = 2.6786019803003167025860340082008e-13 % h = 0.0001 y1[1] (analytic) = 1.1642523309904809668582545072829 y1[1] (numeric) = 1.1642523938353465162180832209971 absolute error = 6.28448655493598287137142e-08 relative error = 5.3978732854152777350722183402096e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1934.0MB, alloc=4.6MB, time=238.32 NO POLE NO POLE x[1] = 0.1651 y2[1] (analytic) = 1.1643509720045895443012777496791 y2[1] (numeric) = 1.164350972004592691769083013179 absolute error = 3.1474678052634999e-15 relative error = 2.7031950682745627204914278743782e-13 % h = 0.0001 y1[1] (analytic) = 1.1643509720045895443012777496791 y1[1] (numeric) = 1.1643510350426742537839464270191 absolute error = 6.30380847094826686773400e-08 relative error = 5.4140105711385269718915764161494e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1937.9MB, alloc=4.6MB, time=238.84 NO POLE NO POLE x[1] = 0.1652 y2[1] (analytic) = 1.1644496113751884030679969819776 y2[1] (numeric) = 1.1644496113751915796578132343591 absolute error = 3.1765898162523815e-15 relative error = 2.7279753329136341574468061495139e-13 % h = 0.0001 y1[1] (analytic) = 1.1644496113751884030679969819776 y1[1] (numeric) = 1.164449674606787564545151294998 absolute error = 6.32315991614771543130204e-08 relative error = 5.4301704894557077034191988601322e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1941.7MB, alloc=4.6MB, time=239.36 x[1] = 0.1653 y2[1] (analytic) = 1.1645482491012911494532456112659 y2[1] (numeric) = 1.1645482491012943553892498037043 absolute error = 3.2059360041924384e-15 relative error = 2.7529439047858544738612495724000e-13 % h = 0.0001 y1[1] (analytic) = 1.1645482491012911494532456112659 y1[1] (numeric) = 1.1645483125267000479309214352254 absolute error = 6.34254088984776758239595e-08 relative error = 5.4463530340992339796509940912471e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1654 y2[1] (analytic) = 1.1646468851819114061968181547421 y2[1] (numeric) = 1.1646468851819146417045654270089 absolute error = 3.2355077472722668e-15 relative error = 2.7781019195074723213331017401358e-13 % h = 0.0001 y1[1] (analytic) = 1.1646468851819114061968181547421 y1[1] (numeric) = 1.164646948801425319809529530034 absolute error = 6.36195139136127113752919e-08 relative error = 5.4625581988033819316426615011297e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1945.5MB, alloc=4.6MB, time=239.88 NO POLE NO POLE x[1] = 0.1655 y2[1] (analytic) = 1.1647455196160628124933340123086 y2[1] (numeric) = 1.1647455196160660777997640353174 absolute error = 3.2653064300230088e-15 relative error = 2.8034505177571815919942743158195e-13 % h = 0.0001 y1[1] (analytic) = 1.1647455196160628124933340123086 y1[1] (numeric) = 1.1647455834299770124981612244319 absolute error = 6.38139142000048272121233e-08 relative error = 5.4787859773042890950887702120063e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1949.3MB, alloc=4.6MB, time=240.39 NO POLE NO POLE x[1] = 0.1656 y2[1] (analytic) = 1.1648441524027590240021010746181 y2[1] (numeric) = 1.1648441524027623193355444123807 absolute error = 3.2953334433377626e-15 relative error = 2.8289908452906591132028580750344e-13 % h = 0.0001 y1[1] (analytic) = 1.1648441524027590240021010746181 y1[1] (numeric) = 1.1648442164113687747727788522776 absolute error = 6.40086097507706777776595e-08 relative error = 5.4950363633399537341808240218453e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1953.1MB, alloc=4.6MB, time=240.93 NO POLE NO POLE x[1] = 0.1657 y2[1] (analytic) = 1.1649427835410137128569791664716 y2[1] (numeric) = 1.1649427835410170384471636574947 absolute error = 3.3255901844910231e-15 relative error = 2.8547240529551211794825345356643e-13 % h = 0.0001 y1[1] (analytic) = 1.1649427835410137128569791664716 y1[1] (numeric) = 1.1649428477446142718779849978965 absolute error = 6.42036005590210058314249e-08 relative error = 5.5113093506502341657442757914696e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1658 y2[1] (analytic) = 1.1650414130298405676762433254723 y2[1] (numeric) = 1.165041413029843923754300483623 absolute error = 3.3560780571581507e-15 relative error = 2.8806512967038970227825277051516e-13 % h = 0.0001 y1[1] (analytic) = 1.1650414130298405676762433254723 y1[1] (numeric) = 1.1650414774287271855368858930409 absolute error = 6.43988866178606425675686e-08 relative error = 5.5276049329768480836541970319964e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1956.9MB, alloc=4.6MB, time=241.47 NO POLE NO POLE x[1] = 0.1659 y2[1] (analytic) = 1.1651400408682532935724469158341 y2[1] (numeric) = 1.1651400408682566803709183507052 absolute error = 3.3867984714348711e-15 relative error = 2.9067737376110216147488493046528e-13 % h = 0.0001 y1[1] (analytic) = 1.1651400408682532935724469158341 y1[1] (numeric) = 1.1651401054627212139609546490946 absolute error = 6.45944679203885077332605e-08 relative error = 5.5439231040633718835296776848380e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1960.7MB, alloc=4.6MB, time=242.03 NO POLE NO POLE x[1] = 0.166 y2[1] (analytic) = 1.1652386670552656121622845772482 y2[1] (numeric) = 1.1652386670552690299151284340515 absolute error = 3.4177528438568033e-15 relative error = 2.9330925418858453871957266908561e-13 % h = 0.0001 y1[1] (analytic) = 1.1652386670552656121622845772482 y1[1] (numeric) = 1.1652387318456100718598943244229 absolute error = 6.47903444596976097471747e-08 relative error = 5.5602638576552399877065933373669e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1964.6MB, alloc=4.6MB, time=242.59 NO POLE NO POLE x[1] = 0.1661 y2[1] (analytic) = 1.1653372915898912615764550087076 y2[1] (numeric) = 1.165337291589894710519052427726 absolute error = 3.4489425974190184e-15 relative error = 2.9596088808876630924533730173459e-13 % h = 0.0001 y1[1] (analytic) = 1.1653372915898912615764550087076 y1[1] (numeric) = 1.1653373565764074904515008267708 absolute error = 6.49865162288750458180632e-08 relative error = 5.5766271874997441704888664720193e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1968.4MB, alloc=4.6MB, time=243.14 x[1] = 0.1662 y2[1] (analytic) = 1.1654359144711439964695235871923 y2[1] (numeric) = 1.1654359144711474768386851828187 absolute error = 3.4803691615956264e-15 relative error = 2.9863239311403593903061689201623e-13 % h = 0.0001 y1[1] (analytic) = 1.1654359144711439964695235871923 y1[1] (numeric) = 1.1654359796541272174715256506087 absolute error = 6.51829832210020020634164e-08 relative error = 5.5930130873460328836777905099400e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1663 y2[1] (analytic) = 1.1655345356980375880297848211151 y2[1] (numeric) = 1.1655345356980411000637571805093 absolute error = 3.5120339723593942e-15 relative error = 3.0132388743470738977229745326475e-13 % h = 0.0001 y1[1] (analytic) = 1.1655345356980375880297848211151 y1[1] (numeric) = 1.1655346010777830171835384493293 absolute error = 6.53797454291537536282142e-08 relative error = 5.6094215509451105823796120045713e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1972.2MB, alloc=4.6MB, time=243.68 NO POLE NO POLE x[1] = 0.1664 y2[1] (analytic) = 1.1656331552695858239891246384306 y2[1] (numeric) = 1.1656331552695893679275968398224 absolute error = 3.5439384722013918e-15 relative error = 3.0403548974048831167330120102498e-13 % h = 0.0001 y1[1] (analytic) = 1.1656331552695858239891246384306 y1[1] (numeric) = 1.165633220846388670388789442195 absolute error = 6.55768028463996648037644e-08 relative error = 5.6258525720498370510909570776349e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1976.0MB, alloc=4.6MB, time=244.22 NO POLE NO POLE x[1] = 0.1665 y2[1] (analytic) = 1.1657317731848025086328825093079 y2[1] (numeric) = 1.1657317731848060847169926599766 absolute error = 3.5760841101506687e-15 relative error = 3.0676731924195009467027994691073e-13 % h = 0.0001 y1[1] (analytic) = 1.1657317731848025086328825093079 y1[1] (numeric) = 1.1657318389589579744360716559386 absolute error = 6.57741554658031891466307e-08 relative error = 5.6423061444149267300621688353755e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1979.8MB, alloc=4.6MB, time=244.78 NO POLE NO POLE x[1] = 0.1666 y2[1] (analytic) = 1.1658303894427014628097134032694 y2[1] (numeric) = 1.165830389442705071282055197229 absolute error = 3.6084723417939596e-15 relative error = 3.0951949567199969986189901607443e-13 % h = 0.0001 y1[1] (analytic) = 1.1658303894427014628097134032694 y1[1] (numeric) = 1.1658304554145047432315830009179 absolute error = 6.59718032804218695976485e-08 relative error = 5.6587822617969480419382707574419e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1667 y2[1] (analytic) = 1.1659290040422965239414495806956 y2[1] (numeric) = 1.1659290040423001650460788761152 absolute error = 3.6411046292954196e-15 relative error = 3.1229213928735328729664739902818e-13 % h = 0.0001 y1[1] (analytic) = 1.1659290040422965239414495806956 y1[1] (numeric) = 1.1659290702120428072487881817261 absolute error = 6.61697462833073386010305e-08 relative error = 5.6752809179543227186775971443645e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1983.6MB, alloc=4.6MB, time=245.32 NO POLE NO POLE x[1] = 0.1668 y2[1] (analytic) = 1.1660276169826015460329622185989 y2[1] (numeric) = 1.166027616982605220015403634988 absolute error = 3.6739824414163891e-15 relative error = 3.1508537087001165626831712075059e-13 % h = 0.0001 y1[1] (analytic) = 1.1660276169826015460329622185989 y1[1] (numeric) = 1.1660276833505860135382804421587 absolute error = 6.63679844675053182235598e-08 relative error = 5.6918021066473251287477628887194e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1987.5MB, alloc=4.6MB, time=245.86 NO POLE NO POLE x[1] = 0.1669 y2[1] (analytic) = 1.1661262282626303996820228705664 y2[1] (numeric) = 1.1661262282626341067892764057545 absolute error = 3.7071072535351881e-15 relative error = 3.1789931172873747137950635048150e-13 % h = 0.0001 y1[1] (analytic) = 1.1661262282626303996820228705664 y1[1] (numeric) = 1.1661262948291482257376431444392 absolute error = 6.65665178260556202738728e-08 relative error = 5.7083458216380816045990395056360e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1991.3MB, alloc=4.6MB, time=246.40 NO POLE NO POLE x[1] = 0.167 y2[1] (analytic) = 1.1662248378813969720891647607741 y2[1] (numeric) = 1.1662248378814007125697124277141 absolute error = 3.7404805476669400e-15 relative error = 3.2073408370053428195043350055272e-13 % h = 0.0001 y1[1] (analytic) = 1.1662248378813969720891647607741 y1[1] (numeric) = 1.1662249046467433240813111826042 absolute error = 6.67653463519921464218301e-08 relative error = 5.7249120566905697704148527317070e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1995.1MB, alloc=4.6MB, time=246.94 x[1] = 0.1671 y2[1] (analytic) = 1.1663234458379151670675439119734 y2[1] (numeric) = 1.1663234458379189411713563953981 absolute error = 3.7741038124834247e-15 relative error = 3.2358980915212731662351226207348e-13 % h = 0.0001 y1[1] (analytic) = 1.1663234458379151670675439119734 y1[1] (numeric) = 1.1663235128023852054104322299493 absolute error = 6.69644700383428883179759e-08 relative error = 5.7415008055706178701393143752181e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1672 y2[1] (analytic) = 1.1664220521311989050528001073512 y2[1] (numeric) = 1.166422052131202713031343440313 absolute error = 3.8079785433329618e-15 relative error = 3.2646661098144612075881417023616e-13 % h = 0.0001 y1[1] (analytic) = 1.1664220521311989050528001073512 y1[1] (numeric) = 1.1664221192950877831827278204383 absolute error = 6.71638888781299277130871e-08 relative error = 5.7581120620459040957817611526794e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1998.9MB, alloc=4.6MB, time=247.49 NO POLE NO POLE x[1] = 0.1673 y2[1] (analytic) = 1.1665206567602621231129176861654 y2[1] (numeric) = 1.1665206567602659652191599464882 absolute error = 3.8421062422603228e-15 relative error = 3.2936461261910894129244853763053e-13 % h = 0.0001 y1[1] (analytic) = 1.1665206567602621231129176861654 y1[1] (numeric) = 1.1665207241238649874823542639752 absolute error = 6.73636028643694365778098e-08 relative error = 5.7747458198859559159979732079808e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2002.7MB, alloc=4.6MB, time=248.05 NO POLE NO POLE x[1] = 0.1674 y2[1] (analytic) = 1.1666192597241187749580861730567 y2[1] (numeric) = 1.1666192597241226514465041997298 absolute error = 3.8764884180266731e-15 relative error = 3.3228393802990892665825065565910e-13 % h = 0.0001 y1[1] (analytic) = 1.1666192597241187749580861730567 y1[1] (numeric) = 1.1666193272877307650297633954423 absolute error = 6.75636119900716772223856e-08 relative error = 5.7914020728621494049481480857869e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2006.5MB, alloc=4.6MB, time=248.60 NO POLE NO POLE x[1] = 0.1675 y2[1] (analytic) = 1.1667178610217828309505607409386 y2[1] (numeric) = 1.1667178610217867420771468704817 absolute error = 3.9111265861295431e-15 relative error = 3.3522471171430208076181744410446e-13 % h = 0.0001 y1[1] (analytic) = 1.1667178610217828309505607409386 y1[1] (numeric) = 1.1667179287856990791915631574042 absolute error = 6.77639162482410024164656e-08 relative error = 5.8080808147477085714313201626739e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1676 y2[1] (analytic) = 1.1668164606522682781145225073667 y2[1] (numeric) = 1.1668164606522722241367913301962 absolute error = 3.9460222688228295e-15 relative error = 3.3818705870989706430322427092540e-13 % h = 0.0001 y1[1] (analytic) = 1.1668164606522682781145225073667 y1[1] (numeric) = 1.1668165286167839099903780163807 absolute error = 6.79645156318758555090140e-08 relative error = 5.8247820393177046882962585427063e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2010.3MB, alloc=4.6MB, time=249.15 NO POLE NO POLE x[1] = 0.1677 y2[1] (analytic) = 1.1669150586145891201459386642884 y2[1] (numeric) = 1.1669150586145931013229338011138 absolute error = 3.9811769951368254e-15 relative error = 3.4117110459294672244173136751961e-13 % h = 0.0001 y1[1] (analytic) = 1.1669150586145891201459386642884 y1[1] (numeric) = 1.1669151267799992541147092125881 absolute error = 6.81654101339687705482997e-08 relative error = 5.8415057403490556221285764462090e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2014.2MB, alloc=4.6MB, time=249.70 NO POLE NO POLE x[1] = 0.1678 y2[1] (analytic) = 1.1670136549077593774224224410753 y2[1] (numeric) = 1.1670136549077633940147233393558 absolute error = 4.0165923008982805e-15 relative error = 3.4417697547984144923747976288656e-13 % h = 0.0001 y1[1] (analytic) = 1.1670136549077593774224224410753 y1[1] (numeric) = 1.167013723274359124928794843052 absolute error = 6.83665997475063724019767e-08 relative error = 5.8582519116205251632139909345802e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2018.0MB, alloc=4.6MB, time=250.25 NO POLE NO POLE x[1] = 0.1679 y2[1] (analytic) = 1.1671122495307930870130929007388 y2[1] (numeric) = 1.1671122495307971392828216512292 absolute error = 4.0522697287504904e-15 relative error = 3.4720479802860430216309013324112e-13 % h = 0.0001 y1[1] (analytic) = 1.1671122495307930870130929007388 y1[1] (numeric) = 1.1671123180988775524824697779924 absolute error = 6.85680844654693768772536e-08 relative error = 5.8750205469127223557776289950871e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2021.8MB, alloc=4.6MB, time=250.79 x[1] = 0.168 y2[1] (analytic) = 1.1672108424827043026884345692303 y2[1] (numeric) = 1.167210842482708390899262742646 absolute error = 4.0882108281734157e-15 relative error = 3.5025469944038792568316488666899e-13 % h = 0.0001 y1[1] (analytic) = 1.1672108424827043026884345692303 y1[1] (numeric) = 1.1672109112525685835210254103817 absolute error = 6.87698642808325908411514e-08 relative error = 5.8918116400081008284991818186509e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1681 y2[1] (analytic) = 1.167309433762507094930156897729 y2[1] (numeric) = 1.167309433762511219347312401559 absolute error = 4.1244171555038300e-15 relative error = 3.5332680746097320579262930990707e-13 % h = 0.0001 y1[1] (analytic) = 1.167309433762507094930156897729 y1[1] (numeric) = 1.1673095027344462814950692385784 absolute error = 6.89719391865649123408494e-08 relative error = 5.9086251846909581253037606183410e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2025.6MB, alloc=4.6MB, time=251.36 NO POLE NO POLE x[1] = 0.1682 y2[1] (analytic) = 1.1674080233692155509410535578155 y2[1] (numeric) = 1.1674080233692197118313275133142 absolute error = 4.1608902739554987e-15 relative error = 3.5642125038226981730535104725927e-13 % h = 0.0001 y1[1] (analytic) = 1.1674080233692155509410535578155 y1[1] (numeric) = 1.1674080925435247265703842819369 absolute error = 6.91743091756293307241214e-08 relative error = 5.9254611747474350364285129996422e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2029.4MB, alloc=4.6MB, time=251.92 NO POLE NO POLE x[1] = 0.1683 y2[1] (analytic) = 1.1675066113018437746548615694366 y2[1] (numeric) = 1.1675066113018479722866152088224 absolute error = 4.1976317536393858e-15 relative error = 3.5953815704381842300800594099118e-13 % h = 0.0001 y1[1] (analytic) = 1.1675066113018437746548615694366 y1[1] (numeric) = 1.1675066806788180156377883292953 absolute error = 6.93769742409829267598587e-08 relative error = 5.9423196039655149297645706143242e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2033.2MB, alloc=4.6MB, time=252.48 NO POLE NO POLE x[1] = 0.1684 y2[1] (analytic) = 1.1676051975594058867461202615592 y2[1] (numeric) = 1.1676051975594101213892918454503 absolute error = 4.2346431715838911e-15 relative error = 3.6267765683429472931303358491700e-13 % h = 0.0001 y1[1] (analytic) = 1.1676051975594058867461202615592 y1[1] (numeric) = 1.1676052671393402623229930202423 absolute error = 6.95799343755768727586831e-08 relative error = 5.9592004661350230824744729244654e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1685 y2[1] (analytic) = 1.1677037821409160246400300654166 y2[1] (numeric) = 1.1677037821409202965661418205336 absolute error = 4.2719261117551170e-15 relative error = 3.6583987969301532886434842184442e-13 % h = 0.0001 y1[1] (analytic) = 1.1677037821409160246400300654166 y1[1] (numeric) = 1.1677038519241055969964627590646 absolute error = 6.97831895723564326936480e-08 relative error = 5.9761037550476260128847750313665e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2037.0MB, alloc=4.6MB, time=253.01 NO POLE NO POLE x[1] = 0.1686 y2[1] (analytic) = 1.167802365045388342522311140249 y2[1] (numeric) = 1.1678023650453926520044762174127 absolute error = 4.3094821650771637e-15 relative error = 3.6902495611144522634421355050562e-13 % h = 0.0001 y1[1] (analytic) = 1.167802365045388342522311140249 y1[1] (numeric) = 1.1678024350321281667832734612766 absolute error = 6.99867398242609623210276e-08 relative error = 5.9930294644968308126537104007423e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2040.9MB, alloc=4.6MB, time=253.55 NO POLE NO POLE x[1] = 0.1687 y2[1] (analytic) = 1.167900946271837011349061831437 y2[1] (numeric) = 1.167900946271841358661991283893 absolute error = 4.3473129294524560e-15 relative error = 3.7223301713470732054416628492147e-13 % h = 0.0001 y1[1] (analytic) = 1.167900946271837011349061831437 y1[1] (numeric) = 1.1679010164624221355729711326337 absolute error = 7.01905851242239093011967e-08 relative error = 6.0099775882779844792139934427337e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2044.7MB, alloc=4.6MB, time=254.12 NO POLE NO POLE x[1] = 0.1688 y2[1] (analytic) = 1.1679995258192762188566169609332 y2[1] (numeric) = 1.1679995258192806042766267430304 absolute error = 4.3854200097820972e-15 relative error = 3.7546419436309345633180705035080e-13 % h = 0.0001 y1[1] (analytic) = 1.1679995258192762188566169609332 y1[1] (numeric) = 1.1679995962140016840294302805299 absolute error = 7.03947254651728133195967e-08 relative error = 6.0269481201882732484902560748975e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2048.5MB, alloc=4.6MB, time=254.67 x[1] = 0.1689 y2[1] (analytic) = 1.1680981036867201695714059498907 y2[1] (numeric) = 1.1680981036867245933764239361445 absolute error = 4.4238050179862538e-15 relative error = 3.7871861995357736240209484250895e-13 % h = 0.0001 y1[1] (analytic) = 1.1680981036867201695714059498907 y1[1] (numeric) = 1.1680981742858810096007121576822 absolute error = 7.05991608400293062077915e-08 relative error = 6.0439410540267219278913061535063e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.169 y2[1] (analytic) = 1.1681966798731830848198107733898 y2[1] (numeric) = 1.1681966798731875472893837979602 absolute error = 4.4624695730245704e-15 relative error = 3.8199642662132942239997849611099e-13 % h = 0.0001 y1[1] (analytic) = 1.1681966798731830848198107733898 y1[1] (numeric) = 1.1681967506770743265289228380026 absolute error = 7.08038912417091120646128e-08 relative error = 6.0609563835941932295770359838438e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2052.3MB, alloc=4.6MB, time=255.20 NO POLE NO POLE x[1] = 0.1691 y2[1] (analytic) = 1.1682952543776792027380237471667 y2[1] (numeric) = 1.1682952543776837041533246637788 absolute error = 4.5014153009166121e-15 relative error = 3.8529774764123304728763610377151e-13 % h = 0.0001 y1[1] (analytic) = 1.1682952543776792027380237471667 y1[1] (numeric) = 1.1682953253865958658600711245592 absolute error = 7.10089166631220473773925e-08 relative error = 6.0779941026933871039996551462131e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2056.1MB, alloc=4.6MB, time=255.77 NO POLE NO POLE x[1] = 0.1692 y2[1] (analytic) = 1.1683938271992227782819051462433 y2[1] (numeric) = 1.1683938271992273189257399085814 absolute error = 4.5406438347623381e-15 relative error = 3.8862271684940296474691986702424e-13 % h = 0.0001 y1[1] (analytic) = 1.1683938271992227782819051462433 y1[1] (numeric) = 1.1683938984134598754539262895276 absolute error = 7.12142370971720211432843e-08 relative error = 6.0950542051288400737192986603636e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2059.9MB, alloc=4.6MB, time=256.32 NO POLE NO POLE x[1] = 0.1693 y2[1] (analytic) = 1.1684923983368280832368406553599 y2[1] (numeric) = 1.1684923983368326633936554179643 absolute error = 4.5801568147626044e-15 relative error = 3.9197146864470524482853721121784e-13 % h = 0.0001 y1[1] (analytic) = 1.1684923983368280832368406553599 y1[1] (numeric) = 1.1684924697566806199938756460347 absolute error = 7.14198525367570349906748e-08 relative error = 6.1121366847069245674939074126952e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1694 y2[1] (analytic) = 1.1685909677895094062275986511137 y2[1] (numeric) = 1.168590967789514026183486890809 absolute error = 4.6199558882396953e-15 relative error = 3.9534413799027903521329629839780e-13 % h = 0.0001 y1[1] (analytic) = 1.1685909677895094062275986511137 y1[1] (numeric) = 1.1685910394152723809967819517955 absolute error = 7.16257629747691833006818e-08 relative error = 6.1292415352358482546430553307545e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2063.7MB, alloc=4.6MB, time=256.85 NO POLE NO POLE x[1] = 0.1695 y2[1] (analytic) = 1.1686895355562810527281873157024 y2[1] (numeric) = 1.1686895355562857127708969735881 absolute error = 4.6600427096578857e-15 relative error = 3.9874086041506017627048156266278e-13 % h = 0.0001 y1[1] (analytic) = 1.1686895355562810527281873157024 y1[1] (numeric) = 1.1686896073882494568228406444452 absolute error = 7.18319684040946533287428e-08 relative error = 6.1463687505256533796858514893766e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2067.6MB, alloc=4.6MB, time=257.40 NO POLE NO POLE x[1] = 0.1696 y2[1] (analytic) = 1.1687881016361573450717115821763 y2[1] (numeric) = 1.1687881016361620454906522262076 absolute error = 4.7004189406440313e-15 relative error = 4.0216177201530644674607933445636e-13 % h = 0.0001 y1[1] (analytic) = 1.1687881016361573450717115821763 y1[1] (numeric) = 1.168788173674626162685436908467 absolute error = 7.20384688176137253262907e-08 relative error = 6.1635183243882160972525318748698e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2071.4MB, alloc=4.6MB, time=257.95 NO POLE NO POLE x[1] = 0.1697 y2[1] (analytic) = 1.1688866660281526224602299110988 y2[1] (numeric) = 1.1688866660281573635464799192887 absolute error = 4.7410862500081899e-15 relative error = 4.0560700945612471294591602216851e-13 % h = 0.0001 y1[1] (analytic) = 1.1688866660281526224602299110988 y1[1] (numeric) = 1.1688867382734168306610025736177 absolute error = 7.22452642082007726625189e-08 relative error = 6.1806902506372458072698006421496e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2075.2MB, alloc=4.6MB, time=258.50 x[1] = 0.1698 y2[1] (analytic) = 1.1689852287312812409746108985179 y2[1] (numeric) = 1.1689852287312860230209246627887 absolute error = 4.7820463137642708e-15 relative error = 4.0907670997299972372031871017673e-13 % h = 0.0001 y1[1] (analytic) = 1.1689852287312812409746108985179 y1[1] (numeric) = 1.1689853011836358096988728447529 absolute error = 7.24523545687242619462350e-08 relative error = 6.1978845230882844904197240073386e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1699 y2[1] (analytic) = 1.1690837897445575735843897151489 y2[1] (numeric) = 1.1690837897445623968852048658636 absolute error = 4.8233008151507147e-15 relative error = 4.1257101137332475563102660316796e-13 % h = 0.0001 y1[1] (analytic) = 1.1690837897445575735843897151489 y1[1] (numeric) = 1.1690838624042974656311428629521 absolute error = 7.26597398920467531478032e-08 relative error = 6.2151011355587060438720570153449e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2079.0MB, alloc=4.6MB, time=259.05 NO POLE NO POLE x[1] = 0.17 y2[1] (analytic) = 1.1691823490669960101576243766708 y2[1] (numeric) = 1.1691823490670008750090690278739 absolute error = 4.8648514446512031e-15 relative error = 4.1609005203793402174187297520401e-13 % h = 0.0001 y1[1] (analytic) = 1.1691823490669960101576243766708 y1[1] (numeric) = 1.169182421934416181182524097846 absolute error = 7.28674201710248997211752e-08 relative error = 6.2323400818677156172898578245831e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2082.8MB, alloc=4.6MB, time=259.60 NO POLE NO POLE x[1] = 0.1701 y2[1] (analytic) = 1.1692809066976109574707518450383 y2[1] (numeric) = 1.1692809066976158641706518604339 absolute error = 4.9066999000153956e-15 relative error = 4.1963397092263670621968214057040e-13 % h = 0.0001 y1[1] (analytic) = 1.1692809066976109574707518450383 y1[1] (numeric) = 1.1692809797730063559802005710474 absolute error = 7.30753953985094487260091e-08 relative error = 6.2496013558363489491082185731107e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2086.6MB, alloc=4.6MB, time=260.16 NO POLE NO POLE x[1] = 0.1702 y2[1] (analytic) = 1.1693794626354168392184439607081 y2[1] (numeric) = 1.1693794626354217880663302404076 absolute error = 4.9488478862796995e-15 relative error = 4.2320290755975300011753278572120e-13 % h = 0.0001 y1[1] (analytic) = 1.1693794626354168392184439607081 y1[1] (numeric) = 1.1693795359190824065636849105866 absolute error = 7.32836655673452409498785e-08 relative error = 6.2668849512874717030861728782969e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1703 y2[1] (analytic) = 1.1694780168794280960234632056847 y2[1] (numeric) = 1.1694780168794330873205789937509 absolute error = 4.9912971157880662e-15 relative error = 4.2679700205965166692809249890616e-13 % h = 0.0001 y1[1] (analytic) = 1.1694780168794280960234632056847 y1[1] (numeric) = 1.1694780903716587663946742362535 absolute error = 7.34922306703712110305688e-08 relative error = 6.2841908620457788051313953197116e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2090.5MB, alloc=4.6MB, time=260.70 NO POLE NO POLE x[1] = 0.1704 y2[1] (analytic) = 1.1695765694286591854465182972845 y2[1] (numeric) = 1.169576569428664219495826510103 absolute error = 5.0340493082128185e-15 relative error = 4.3041639511228948762254077687733e-13 % h = 0.0001 y1[1] (analytic) = 1.1695765694286591854465182972845 y1[1] (numeric) = 1.1695766431297498858669058757468 absolute error = 7.37010907004203875784623e-08 relative error = 6.3015190819377937803977017999101e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2094.3MB, alloc=4.6MB, time=261.26 NO POLE NO POLE x[1] = 0.1705 y2[1] (analytic) = 1.1696751202821245819961196125203 y2[1] (numeric) = 1.1696751202821296591023101880276 absolute error = 5.0771061905755073e-15 relative error = 4.3406122798875245588958995591458e-13 % h = 0.0001 y1[1] (analytic) = 1.1696751202821245819961196125203 y1[1] (numeric) = 1.1696751941923702323160129115332 absolute error = 7.39102456503198932990129e-08 relative error = 6.3188696047918680906552912576486e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2098.1MB, alloc=4.6MB, time=261.81 NO POLE NO POLE x[1] = 0.1706 y2[1] (analytic) = 1.1697736694388387771384344430079 y2[1] (numeric) = 1.1697736694388438976079317108055 absolute error = 5.1204694972677976e-15 relative error = 4.3773164254279871405766777098093e-13 % h = 0.0001 y1[1] (analytic) = 1.1697736694388387771384344430079 y1[1] (numeric) = 1.1697737435585342900293795583165 absolute error = 7.41196955128909451153086e-08 relative error = 6.3362424244381804719334469639198e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2101.9MB, alloc=4.6MB, time=262.36 x[1] = 0.1707 y2[1] (analytic) = 1.1698722168978162793071420802965 y2[1] (numeric) = 1.1698722168978214434481121526803 absolute error = 5.1641409700723838e-15 relative error = 4.4142778121240322873782394153788e-13 % h = 0.0001 y1[1] (analytic) = 1.1698722168978162793071420802965 y1[1] (numeric) = 1.1698722912272565602559963710189 absolute error = 7.43294402809488542907224e-08 relative error = 6.3536375347087362724356209526641e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1708 y2[1] (analytic) = 1.1699707626580716139132887315237 y2[1] (numeric) = 1.1699707626580768220356469154583 absolute error = 5.2081223581839346e-15 relative error = 4.4514978702130423086738091930424e-13 % h = 0.0001 y1[1] (analytic) = 1.1699707626580716139132887315237 y1[1] (numeric) = 1.1699708371975515612163152831762 absolute error = 7.45394799473030265516525e-08 relative error = 6.3710549294373667907268508121745e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2105.7MB, alloc=4.6MB, time=262.92 NO POLE NO POLE x[1] = 0.1709 y2[1] (analytic) = 1.1700693067186193233551422652964 y2[1] (numeric) = 1.1700693067186245757705604953643 absolute error = 5.2524154182300679e-15 relative error = 4.4889780358055145336436554277620e-13 % h = 0.0001 y1[1] (analytic) = 1.1700693067186193233551422652964 y1[1] (numeric) = 1.1700693814684338281121044756475 absolute error = 7.47498145047569622103511e-08 relative error = 6.3884946024597286141933213343803e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2109.5MB, alloc=4.6MB, time=263.46 NO POLE NO POLE x[1] = 0.171 y2[1] (analytic) = 1.1701678490784739670280467877005 y2[1] (numeric) = 1.1701678490784792640499610800547 absolute error = 5.2970219142923542e-15 relative error = 4.5267197509005603721066013130947e-13 % h = 0.0001 y1[1] (analytic) = 1.1701678490784739670280467877005 y1[1] (numeric) = 1.1701679240389179131363030755415 absolute error = 7.49604439461082562878410e-08 relative error = 6.4059565476133029577738750807373e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2113.3MB, alloc=4.6MB, time=264.01 NO POLE NO POLE x[1] = 0.1711 y2[1] (analytic) = 1.1702663897366501213342770483387 y2[1] (numeric) = 1.1702663897366554632778949756894 absolute error = 5.3419436179273507e-15 relative error = 4.5647244634014229303630791592961e-13 % h = 0.0001 y1[1] (analytic) = 1.1702663897366501213342770483387 y1[1] (numeric) = 1.1702664649080183854828756852605 absolute error = 7.51713682641485986369218e-08 relative error = 6.4234407587373950029634982081271e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1712 y2[1] (analytic) = 1.1703649286921623796928926762999 y2[1] (numeric) = 1.1703649286921677668752008639636 absolute error = 5.3871823081876637e-15 relative error = 4.6029936271310111211174125549648e-13 % h = 0.0001 y1[1] (analytic) = 1.1703649286921623796928926762999 y1[1] (numeric) = 1.1703650040747498313566667415641 absolute error = 7.53825874516637740652642e-08 relative error = 6.4409472296731332370885258981019e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2117.2MB, alloc=4.6MB, time=264.55 NO POLE NO POLE x[1] = 0.1713 y2[1] (analytic) = 1.1704634659440253525495922459603 y2[1] (numeric) = 1.1704634659440307852893638890016 absolute error = 5.4327397716430413e-15 relative error = 4.6415287018474519671311636561748e-13 % h = 0.0001 y1[1] (analytic) = 1.1704634659440253525495922459603 y1[1] (numeric) = 1.1704635415381268539832547045532 absolute error = 7.55941015014336624585929e-08 relative error = 6.4584759542634687928534827585594e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2121.0MB, alloc=4.6MB, time=265.11 NO POLE NO POLE x[1] = 0.1714 y2[1] (analytic) = 1.1705620014912536673865671725181 y2[1] (numeric) = 1.1705620014912591460043695740135 absolute error = 5.4786178024014954e-15 relative error = 4.6803311532596602342446878440822e-13 % h = 0.0001 y1[1] (analytic) = 1.1705620014912536673865671725181 y1[1] (numeric) = 1.1705620772971640736188060764765 absolute error = 7.58059104062322389039584e-08 relative error = 6.4760269263531747881594565191710e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2124.8MB, alloc=4.6MB, time=265.66 NO POLE NO POLE x[1] = 0.1715 y2[1] (analytic) = 1.1706605353328619687323554371636 y2[1] (numeric) = 1.1706605353328674935505575676162 absolute error = 5.5248182021304526e-15 relative error = 4.7194024530429250425186873966171e-13 % h = 0.0001 y1[1] (analytic) = 1.1706605353328619687323554371636 y1[1] (numeric) = 1.1706606113508761275599292502604 absolute error = 7.60180141588275738130968e-08 relative error = 6.4936001397888456661938008852086e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2128.6MB, alloc=4.6MB, time=266.21 x[1] = 0.1716 y2[1] (analytic) = 1.1707590674678649181716951417854 y2[1] (numeric) = 1.1707590674678704895144752197212 absolute error = 5.5713427800779358e-15 relative error = 4.7587440788545149836082316447480e-13 % h = 0.0001 y1[1] (analytic) = 1.1707590674678649181716951417854 y1[1] (numeric) = 1.1707591436982776701535281876645 absolute error = 7.62304127519818330458791e-08 relative error = 6.5111955884188965357911685281747e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1717 y2[1] (analytic) = 1.1708575978952771943553778931147 y2[1] (numeric) = 1.1708575978952828125487309868889 absolute error = 5.6181933530937742e-15 relative error = 4.7983575143492997697475878293464e-13 % h = 0.0001 y1[1] (analytic) = 1.1708575978952771943553778931147 y1[1] (numeric) = 1.1708576743383833728066559269633 absolute error = 7.64431061784512780338486e-08 relative error = 6.5288132660935625120656274903861e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2132.4MB, alloc=4.6MB, time=266.75 NO POLE NO POLE x[1] = 0.1718 y2[1] (analytic) = 1.1709561266141134930101020162096 y2[1] (numeric) = 1.1709561266141191583818476670526 absolute error = 5.6653717456508430e-15 relative error = 4.8382442491953895154655699570852e-13 % h = 0.0001 y1[1] (analytic) = 1.1709561266141134930101020162096 y1[1] (numeric) = 1.1709562032702079239963679200563 absolute error = 7.66560944309862659038467e-08 relative error = 6.5464531666648980573137596083844e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2136.2MB, alloc=4.6MB, time=267.28 NO POLE NO POLE x[1] = 0.1719 y2[1] (analytic) = 1.1710546536233885269483255971796 y2[1] (numeric) = 1.1710546536233942398281154635126 absolute error = 5.7128797898663330e-15 relative error = 4.8784057790897918130871522921595e-13 % h = 0.0001 y1[1] (analytic) = 1.1710546536233885269483255971796 y1[1] (numeric) = 1.1710547304927660292795751989071 absolute error = 7.68693775023312496017275e-08 relative error = 6.5641152839867763221886481487526e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2140.0MB, alloc=4.6MB, time=267.82 NO POLE NO POLE x[1] = 0.172 y2[1] (analytic) = 1.1711531789221170260781193550527 y2[1] (numeric) = 1.1711531789221227867974448781022 absolute error = 5.7607193255230495e-15 relative error = 4.9188436057740860798827345418879e-13 % h = 0.0001 y1[1] (analytic) = 1.1711531789221170260781193550527 y1[1] (numeric) = 1.1711532560050724113028973712143 absolute error = 7.70829553852247780161616e-08 relative error = 6.5817996119148884871446618935304e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1721 y2[1] (analytic) = 1.1712517025093137374130193426869 y2[1] (numeric) = 1.1712517025093195463052194334271 absolute error = 5.8088922000907402e-15 relative error = 4.9595592370501149112155085023614e-13 % h = 0.0001 y1[1] (analytic) = 1.1712517025093137374130193426869 y1[1] (numeric) = 1.171251779806141809812515445214 absolute error = 7.72968280723994961025271e-08 relative error = 6.5995061443067431041527380470310e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2143.9MB, alloc=4.6MB, time=268.33 NO POLE NO POLE x[1] = 0.1722 y2[1] (analytic) = 1.1713502243839934250818794766261 y2[1] (numeric) = 1.1713502243839992824821482240797 absolute error = 5.8574002687474536e-15 relative error = 5.0005541867956937109057052069536e-13 % h = 0.0001 y1[1] (analytic) = 1.1713502243839934250818794766261 y1[1] (numeric) = 1.171350301894988981664024483517 absolute error = 7.75109955565821450068909e-08 relative error = 6.6172348750216654386863019123100e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2147.7MB, alloc=4.6MB, time=268.84 NO POLE NO POLE x[1] = 0.1723 y2[1] (analytic) = 1.1714487445451708703387238958038 y2[1] (numeric) = 1.1714487445451767765841182967294 absolute error = 5.9062453944009256e-15 relative error = 5.0418299749803366253300651095070e-13 % h = 0.0001 y1[1] (analytic) = 1.1714487445451708703387238958038 y1[1] (numeric) = 1.171448822270628700832286085881 absolute error = 7.77254578304935621900772e-08 relative error = 6.6349857979207968119774319147218e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2151.5MB, alloc=4.6MB, time=269.36 NO POLE NO POLE x[1] = 0.1724 y2[1] (analytic) = 1.1715472629918608715725991489945 y2[1] (numeric) = 1.1715472629918668270020468589912 absolute error = 5.9554294477099967e-15 relative error = 5.0833881276810008208926355714694e-13 % h = 0.0001 y1[1] (analytic) = 1.1715472629918608715725991489945 y1[1] (numeric) = 1.1715473409320757584212807008196 absolute error = 7.79402148868486815518251e-08 relative error = 6.6527589068670939435433055805995e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2155.3MB, alloc=4.6MB, time=269.90 x[1] = 0.1725 y2[1] (analytic) = 1.1716457797230782443174262109148 y2[1] (numeric) = 1.171645779723084249271733316973 absolute error = 6.0049543071060582e-15 relative error = 5.1252301770978477291312776987848e-13 % h = 0.0001 y1[1] (analytic) = 1.1716457797230782443174262109148 y1[1] (numeric) = 1.1716458578783449626739597659501 absolute error = 7.81552667183565335550353e-08 relative error = 6.6705541957253282939827998713018e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1726 y2[1] (analytic) = 1.1717442947378378212618523268764 y2[1] (numeric) = 1.171744294737843876083711141404 absolute error = 6.0548218588145276e-15 relative error = 5.1673576615700214208224130925039e-13 % h = 0.0001 y1[1] (analytic) = 1.1717442947378378212618523268764 y1[1] (numeric) = 1.1717443731084511389820976769807 absolute error = 7.83706133177202453501043e-08 relative error = 6.6883716583620854080429827907123e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2159.1MB, alloc=4.6MB, time=270.40 NO POLE NO POLE x[1] = 0.1727 y2[1] (analytic) = 1.171842808035154452259102685891 y2[1] (numeric) = 1.1718428080351605572930995622452 absolute error = 6.1050339968763542e-15 relative error = 5.2097721255914449530248698903714e-13 % h = 0.0001 y1[1] (analytic) = 1.171842808035154452259102685891 y1[1] (numeric) = 1.1718428866214091298961435852395 absolute error = 7.85862546776370408993485e-08 relative error = 6.7062112886457642579555746851925e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2162.9MB, alloc=4.6MB, time=270.90 NO POLE NO POLE x[1] = 0.1728 y2[1] (analytic) = 1.1719413196140430043368319221303 y2[1] (numeric) = 1.1719413196140491599294550916835 absolute error = 6.1555926231695532e-15 relative error = 5.2524751198266332285679850516228e-13 % h = 0.0001 y1[1] (analytic) = 1.1719413196140430043368319221303 y1[1] (numeric) = 1.1719413984162337951350730236458 absolute error = 7.88021907907982411015155e-08 relative error = 6.7240730804465765870430224081421e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2166.7MB, alloc=4.6MB, time=271.43 NO POLE NO POLE x[1] = 0.1729 y2[1] (analytic) = 1.1720398294735183617069754446406 y2[1] (numeric) = 1.1720398294735245682066228754113 absolute error = 6.2064996474307707e-15 relative error = 5.2954682011265244066472623459508e-13 % h = 0.0001 y1[1] (analytic) = 1.1720398294735183617069754446406 y1[1] (numeric) = 1.1720399084919400115962393610259 absolute error = 7.90184216498892639163853e-08 relative error = 6.7419570276365462535942904777651e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.173 y2[1] (analytic) = 1.1721383376125954257756005952159 y2[1] (numeric) = 1.1721383376126016835325878720923 absolute error = 6.2577569872768764e-15 relative error = 5.3387529325443271242285727250317e-13 % h = 0.0001 y1[1] (analytic) = 1.1721383376125954257756005952159 y1[1] (numeric) = 1.1721384168475426733652250846748 absolute error = 7.92349472475896244894589e-08 relative error = 6.7598631240895085750100296342656e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2170.6MB, alloc=4.6MB, time=271.94 NO POLE NO POLE x[1] = 0.1731 y2[1] (analytic) = 1.1722368440302891151527576343287 y2[1] (numeric) = 1.1722368440302954245193258609158 absolute error = 6.3093665682265871e-15 relative error = 5.3823308833513861641461306484492e-13 % h = 0.0001 y1[1] (analytic) = 1.1722368440302891151527576343287 y1[1] (numeric) = 1.1722369234820566917256929110652 absolute error = 7.94517675765729352767365e-08 relative error = 6.7777913636811096722171843552131e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2174.4MB, alloc=4.6MB, time=272.47 NO POLE NO POLE x[1] = 0.1732 y2[1] (analytic) = 1.1723353487256143656623305550212 y2[1] (numeric) = 1.1723353487256207269926542771405 absolute error = 6.3613303237221193e-15 relative error = 5.4262036290530651096174438202579e-13 % h = 0.0001 y1[1] (analytic) = 1.1723353487256143656623305550212 y1[1] (numeric) = 1.1723354283944969951692367246047 absolute error = 7.96688826295069061695835e-08 relative error = 6.7957417402888058143527596284539e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2178.2MB, alloc=4.6MB, time=272.98 NO POLE NO POLE x[1] = 0.1733 y2[1] (analytic) = 1.1724338516975861303518877246585 y2[1] (numeric) = 1.1724338516975925440020828755298 absolute error = 6.4136501951508713e-15 relative error = 5.4703727514046463170272483809072e-13 % h = 0.0001 y1[1] (analytic) = 1.1724338516975861303518877246585 y1[1] (numeric) = 1.1724339315838785294052323443441 absolute error = 7.98862923990533446196856e-08 relative error = 6.8137142477918627637167318585371e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2182.0MB, alloc=4.6MB, time=273.49 x[1] = 0.1734 y2[1] (analytic) = 1.1725323529452193795025323544445 y2[1] (numeric) = 1.1725323529452258458306642215789 absolute error = 6.4663281318671344e-15 relative error = 5.5148398384272478563269109662694e-13 % h = 0.0001 y1[1] (analytic) = 1.1725323529452193795025323544445 y1[1] (numeric) = 1.1725324330492162573706881185368 absolute error = 8.01039968778681557640923e-08 relative error = 6.8317088800713551209939182031747e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1735 y2[1] (analytic) = 1.1726308524675291006387527966028 y2[1] (numeric) = 1.1726308524675356200048440104368 absolute error = 6.5193660912138340e-15 relative error = 5.5596064844237580919728199089763e-13 % h = 0.0001 y1[1] (analytic) = 1.1726308524675291006387527966028 y1[1] (numeric) = 1.1726309327895251592400953469515 absolute error = 8.03219960586013425503487e-08 relative error = 6.8497256310101656707446699094151e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2185.8MB, alloc=4.6MB, time=273.98 NO POLE NO POLE x[1] = 0.1736 y2[1] (analytic) = 1.1727293502635302985382726691233 y2[1] (numeric) = 1.1727293502635368713043112134238 absolute error = 6.5727660385443005e-15 relative error = 5.6046742899947878094360750504712e-13 % h = 0.0001 y1[1] (analytic) = 1.1727293502635302985382726691233 y1[1] (numeric) = 1.17272943080382023243527853084 absolute error = 8.05402899338970058617167e-08 relative error = 6.8677644944929847271643576163417e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2189.6MB, alloc=4.6MB, time=274.52 NO POLE NO POLE x[1] = 0.1737 y2[1] (analytic) = 1.1728278463322379952419008079775 y2[1] (numeric) = 1.1728278463322446217718480520458 absolute error = 6.6265299472440683e-15 relative error = 5.6500448620546384281569700477073e-13 % h = 0.0001 y1[1] (analytic) = 1.1728278463322379952419008079775 y1[1] (numeric) = 1.1728279270911164916352454504607 absolute error = 8.07588784963933446424832e-08 relative error = 6.8858254644063094801113181700039e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2193.5MB, alloc=4.6MB, time=275.02 NO POLE NO POLE x[1] = 0.1738 y2[1] (analytic) = 1.1729263406726672300633810467012 y2[1] (numeric) = 1.1729263406726739107231797994072 absolute error = 6.6806597987527060e-15 relative error = 5.6957198138472889351280386673552e-13 % h = 0.0001 y1[1] (analytic) = 1.1729263406726672300633810467012 y1[1] (numeric) = 1.1729264216504289687860370700601 absolute error = 8.09777617387226560233589e-08 relative error = 6.9039085346384433414034442408135e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1739 y2[1] (analytic) = 1.1730248332838330595992418232496 y2[1] (numeric) = 1.1730248332838397947568244089246 absolute error = 6.7351575825856750e-15 relative error = 5.7417007649623991417898780295107e-13 % h = 0.0001 y1[1] (analytic) = 1.1730248332838330595992418232496 y1[1] (numeric) = 1.1730249144807727131105772702138 absolute error = 8.11969396535113354469642e-08 relative error = 6.9220136990794952913829926204773e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2197.3MB, alloc=4.6MB, time=275.54 NO POLE NO POLE x[1] = 0.174 y2[1] (analytic) = 1.1731233241647505577386456140236 y2[1] (numeric) = 1.1731233241647573477639419702412 absolute error = 6.7900252963562176e-15 relative error = 5.7879893413513301929942979098153e-13 % h = 0.0001 y1[1] (analytic) = 1.1731233241647505577386456140236 y1[1] (numeric) = 1.1731234055811627911185224074275 absolute error = 8.14164122333798767934039e-08 relative error = 6.9401409516213792257496306030557e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2201.1MB, alloc=4.6MB, time=276.05 NO POLE NO POLE x[1] = 0.1741 y2[1] (analytic) = 1.1732218133144348156732381949698 y2[1] (numeric) = 1.1732218133144416609381839922449 absolute error = 6.8452649457972751e-15 relative error = 5.8345871753431827447547864794258e-13 % h = 0.0001 y1[1] (analytic) = 1.1732218133144348156732381949698 y1[1] (numeric) = 1.1732218949506142866161107009008 absolute error = 8.16361794709428725059310e-08 relative error = 6.9582902861578133026616204936212e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2204.9MB, alloc=4.6MB, time=276.58 NO POLE NO POLE x[1] = 0.1742 y2[1] (analytic) = 1.1733203007319009419069977296562 y2[1] (numeric) = 1.1733203007319078427855425130909 absolute error = 6.9008785447834347e-15 relative error = 5.8814959056608517783461787230224e-13 % h = 0.0001 y1[1] (analytic) = 1.1733203007319009419069977296562 y1[1] (numeric) = 1.1733203825881423007160114463547 absolute error = 8.18562413588090137166985e-08 relative error = 6.9764616965843192901049230170929e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2208.7MB, alloc=4.6MB, time=277.10 x[1] = 0.1743 y2[1] (analytic) = 1.1734187864161640622660836842236 y2[1] (numeric) = 1.1734187864161710191341990371305 absolute error = 6.9568681153529069e-15 relative error = 5.9287171774370994904210328683762e-13 % h = 0.0001 y1[1] (analytic) = 1.1734187864161640622660836842236 y1[1] (numeric) = 1.173418868492761951847174056824 absolute error = 8.20765978895810903726004e-08 relative error = 6.9946551767982219135301965369862e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1744 y2[1] (analytic) = 1.1735172703662393199086855691164 y2[1] (numeric) = 1.1735172703662463331443732986474 absolute error = 7.0132356877295310e-15 relative error = 5.9762526422306442040746138251375e-13 % h = 0.0001 y1[1] (analytic) = 1.1735172703662393199086855691164 y1[1] (numeric) = 1.1735173526634883757646769303167 absolute error = 8.22972490558559913612003e-08 relative error = 7.0128707206986482037574303918489e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2212.5MB, alloc=4.6MB, time=277.61 NO POLE NO POLE x[1] = 0.1745 y2[1] (analytic) = 1.1736157525811418753348715074924 y2[1] (numeric) = 1.1736157525811489453181718523033 absolute error = 7.0699833003448109e-15 relative error = 6.0241039580422671666825879104106e-13 % h = 0.0001 y1[1] (analytic) = 1.1736157525811418753348715074924 y1[1] (numeric) = 1.1736158350993367255595761442417 absolute error = 8.25181948502247046367493e-08 relative error = 7.0311083221865268451482319967019e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2216.3MB, alloc=4.6MB, time=278.12 NO POLE NO POLE x[1] = 0.1746 y2[1] (analytic) = 1.1737142330598869063964366302136 y2[1] (numeric) = 1.173714233059894033509436490194 absolute error = 7.1271129998599804e-15 relative error = 6.0722727893309365430960987912051e-13 % h = 0.0001 y1[1] (analytic) = 1.1737142330598869063964366302136 y1[1] (numeric) = 1.173714315799322171668753976506 absolute error = 8.27394352652723173462924e-08 relative error = 7.0493679751645875240455743261050e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2220.2MB, alloc=4.6MB, time=278.62 NO POLE NO POLE x[1] = 0.1747 y2[1] (analytic) = 1.1738127118014896083067512973204 y2[1] (numeric) = 1.1738127118014967929335924854181 absolute error = 7.1846268411880977e-15 relative error = 6.1207608070299483392067746514670e-13 % h = 0.0001 y1[1] (analytic) = 1.1738127118014896083067512973204 y1[1] (numeric) = 1.1738127947624599018847672531835 absolute error = 8.29609702935780159558631e-08 relative error = 7.0676496735373602774808531030496e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1748 y2[1] (analytic) = 1.1739111888049651936506091458891 y2[1] (numeric) = 1.1739111888049724361774966620588 absolute error = 7.2425268875161697e-15 relative error = 6.1695696885630847577413906713103e-13 % h = 0.0001 y1[1] (analytic) = 1.1739111888049651936506091458891 y1[1] (numeric) = 1.1739112719877651213656955226565 absolute error = 8.31827999277150863767674e-08 relative error = 7.0859534112111748421482308785657e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2224.0MB, alloc=4.6MB, time=279.15 NO POLE NO POLE x[1] = 0.1749 y2[1] (analytic) = 1.1740096640693288923940749641768 y2[1] (numeric) = 1.1740096640693361932092852914814 absolute error = 7.3008152103273046e-15 relative error = 6.2187011178607886990689334640777e-13 % h = 0.0001 y1[1] (analytic) = 1.1740096640693288923940749641768 y1[1] (numeric) = 1.1740097474742530526449890561312 absolute error = 8.34049241602509140919544e-08 relative error = 7.1042791820941600036459044710988e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2227.8MB, alloc=4.6MB, time=279.68 NO POLE NO POLE x[1] = 0.175 y2[1] (analytic) = 1.1741081375935959518943323919514 y2[1] (numeric) = 1.1741081375936033113882218148476 absolute error = 7.3594938894228962e-15 relative error = 6.2681567853763572940484634833354e-13 % h = 0.0001 y1[1] (analytic) = 1.1741081375935959518943323919514 y1[1] (numeric) = 1.1741082212209389356413166744296 absolute error = 8.36273429837469842824782e-08 relative error = 7.1226269800962429459845712430014e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2231.6MB, alloc=4.6MB, time=280.20 NO POLE NO POLE x[1] = 0.1751 y2[1] (analytic) = 1.1742066093767816369095314469124 y2[1] (numeric) = 1.1742066093767890554745443917476 absolute error = 7.4185650129448352e-15 relative error = 6.3179383881021504557357717721173e-13 % h = 0.0001 y1[1] (analytic) = 1.1742066093767816369095314469124 y1[1] (numeric) = 1.1742066932268380276684134009583 absolute error = 8.38500563907588819540459e-08 relative error = 7.1409967991291486013625263657350e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2235.4MB, alloc=4.6MB, time=280.71 x[1] = 0.1752 y2[1] (analytic) = 1.1743050794179012296086358771006 y2[1] (numeric) = 1.1743050794179087076393132748523 absolute error = 7.4780306773977517e-15 relative error = 6.3680476295858180184109785619724e-13 % h = 0.0001 y1[1] (analytic) = 1.1743050794179012296086358771006 y1[1] (numeric) = 1.1743051634909656034449279407565 absolute error = 8.40730643738362920636559e-08 relative error = 7.1593886331063990002076240614081e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1753 y2[1] (analytic) = 1.1744035477159700295812703392008 y2[1] (numeric) = 1.174403547715977567474258010487 absolute error = 7.5378929876712862e-15 relative error = 6.4184862199465431546741551665922e-13 % h = 0.0001 y1[1] (analytic) = 1.1744035477159700295812703392008 y1[1] (numeric) = 1.1744036320123369551042699855241 absolute error = 8.42963669255229996463233e-08 relative error = 7.1778024759433126214857055265100e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2239.2MB, alloc=4.6MB, time=281.23 NO POLE NO POLE x[1] = 0.1754 y2[1] (analytic) = 1.174502014270003353847567402637 y2[1] (numeric) = 1.1745020142700109520016244650276 absolute error = 7.5981540570623906e-15 relative error = 6.4692558758913033388900309158910e-13 % h = 0.0001 y1[1] (analytic) = 1.174502014270003353847567402637 y1[1] (numeric) = 1.1745020987899673922044573445319 absolute error = 8.45199640383568899418949e-08 relative error = 7.1962383215570037432755818039177e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2243.0MB, alloc=4.6MB, time=281.74 NO POLE NO POLE x[1] = 0.1755 y2[1] (analytic) = 1.1746004790790165368680143793628 y2[1] (numeric) = 1.1746004790790241956840216770214 absolute error = 7.6588160072976586e-15 relative error = 6.5203583207311483365717943744763e-13 % h = 0.0001 y1[1] (analytic) = 1.1746004790790165368680143793628 y1[1] (numeric) = 1.1746005638228722417379629013154 absolute error = 8.47438557048699485219526e-08 relative error = 7.2146961638663817936103447909847e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2246.9MB, alloc=4.6MB, time=282.27 NO POLE NO POLE x[1] = 0.1756 y2[1] (analytic) = 1.1746989421420249305532999792485 y2[1] (numeric) = 1.1746989421420326504342685349335 absolute error = 7.7198809685556850e-15 relative error = 6.5717952843974947847726430629021e-13 % h = 0.0001 y1[1] (analytic) = 1.1746989421420249305532999792485 y1[1] (numeric) = 1.1746990271100668481415613960533 absolute error = 8.49680419175882614168048e-08 relative error = 7.2331759967921507015848478078668e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1757 y2[1] (analytic) = 1.1747974034580439042741607909662 y2[1] (numeric) = 1.1747974034580516856252402804212 absolute error = 7.7813510794894550e-15 relative error = 6.6235685034584382907837740969362e-13 % h = 0.0001 y1[1] (analytic) = 1.1747974034580439042741607909662 y1[1] (numeric) = 1.1747974886505665733061760335326 absolute error = 8.51925226690320152425664e-08 relative error = 7.2516778142568082487292823593209e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2250.7MB, alloc=4.6MB, time=282.79 NO POLE NO POLE x[1] = 0.1758 y2[1] (analytic) = 1.1748958630260888448712275882738 y2[1] (numeric) = 1.1748958630260966880997148370369 absolute error = 7.8432284872487631e-15 relative error = 6.6756797211350826991083778980019e-13 % h = 0.0001 y1[1] (analytic) = 1.1748958630260888448712275882738 y1[1] (numeric) = 1.1748959484433867965867249166019 absolute error = 8.54172979517154973283281e-08 relative error = 7.2702016101846454206487862655108e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2254.5MB, alloc=4.6MB, time=283.31 NO POLE NO POLE x[1] = 0.1759 y2[1] (analytic) = 1.1749943208451751566648714616007 y2[1] (numeric) = 1.1749943208451830621802189642616 absolute error = 7.9055153475026609e-15 relative error = 6.7281306873178859215969456437088e-13 % h = 0.0001 y1[1] (analytic) = 1.1749943208451751566648714616007 y1[1] (numeric) = 1.1749944064875429148119673050144 absolute error = 8.56423677581470958434137e-08 relative error = 7.2887473785017457589288481489359e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2258.3MB, alloc=4.6MB, time=283.81 NO POLE NO POLE x[1] = 0.176 y2[1] (analytic) = 1.1750927769143182614650497748359 y2[1] (numeric) = 1.1750927769143262296788742367706 absolute error = 7.9682138244619347e-15 relative error = 6.7809231585830230876308921486518e-13 % h = 0.0001 y1[1] (analytic) = 1.1750927769143182614650497748359 y1[1] (numeric) = 1.1750928627820503422943496995614 absolute error = 8.58677320808292999247255e-08 relative error = 7.3073151131359847133063925434159e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2262.1MB, alloc=4.6MB, time=284.31 NO POLE NO POLE x[1] = 0.1761 y2[1] (analytic) = 1.1751912312325335985811519472202 y2[1] (numeric) = 1.1751912312325416299072428488327 absolute error = 8.0313260909016125e-15 relative error = 6.8340588982087666645327215654166e-13 % h = 0.0001 y1[1] (analytic) = 1.1751912312325335985811519472202 y1[1] (numeric) = 1.1751913173259245108398517513992 absolute error = 8.60933909122586998041790e-08 relative error = 7.3259048080170289941065235521666e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1762 y2[1] (analytic) = 1.1752896837988366248318450602442 y2[1] (numeric) = 1.1752896837988447196861732437446 absolute error = 8.0948543281835004e-15 relative error = 6.8875396761918835389585026423320e-13 % h = 0.0001 y1[1] (analytic) = 1.1752896837988366248318450602442 y1[1] (numeric) = 1.1752897701181808697578319964699 absolute error = 8.63193442449259869362257e-08 relative error = 7.3445164570763359249447007735931e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2265.9MB, alloc=4.6MB, time=284.81 NO POLE NO POLE x[1] = 0.1763 y2[1] (analytic) = 1.175388134612242814554919289453 y2[1] (numeric) = 1.1753881346122509733556455682016 absolute error = 8.1588007262787486e-15 relative error = 6.9413672692640492201926416618925e-13 % h = 0.0001 y1[1] (analytic) = 1.175388134612242814554919289453 y1[1] (numeric) = 1.1753882211578348858708734149179 absolute error = 8.65455920713159541254649e-08 relative error = 7.3631500542471527956943000112314e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2269.7MB, alloc=4.6MB, time=285.15 NO POLE NO POLE x[1] = 0.1764 y2[1] (analytic) = 1.1754865836717676596171331610609 y2[1] (numeric) = 1.1754865836717758827846169515073 absolute error = 8.2231674837904464e-15 relative error = 6.9955434609082786455893608367655e-13 % h = 0.0001 y1[1] (analytic) = 1.1754865836717676596171331610609 y1[1] (numeric) = 1.1754866704439020435246288154036 absolute error = 8.67721343839074956543427e-08 relative error = 7.3818055934645162157192816057577e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2273.6MB, alloc=4.6MB, time=285.36 NO POLE NO POLE x[1] = 0.1765 y2[1] (analytic) = 1.1755850309764266694240586332747 y2[1] (numeric) = 1.1755850309764349573808666095221 absolute error = 8.2879568079762474e-15 relative error = 7.0500700413753745999075096546173e-13 % h = 0.0001 y1[1] (analytic) = 1.1755850309764266694240586332747 y1[1] (numeric) = 1.1755851179753978445976660442163 absolute error = 8.69989711751736074109416e-08 relative error = 7.4004830686652514673721317274649e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1766 y2[1] (analytic) = 1.1756834765252353709299260022304 y2[1] (numeric) = 1.1756834765252437241008407732539 absolute error = 8.3531709147710235e-15 relative error = 7.1049488077003925481294668039049e-13 % h = 0.0001 y1[1] (analytic) = 1.1756834765252353709299260022304 y1[1] (numeric) = 1.1756835637513378085113130190872 absolute error = 8.72261024375813870168568e-08 relative error = 7.4191824737879718597566209232183e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2277.4MB, alloc=4.6MB, time=285.56 NO POLE NO POLE x[1] = 0.1767 y2[1] (analytic) = 1.1757819203172093086474686324424 y2[1] (numeric) = 1.1757819203172177274594974419912 absolute error = 8.4188120288095488e-15 relative error = 7.1601815637191228084050707145406e-13 % h = 0.0001 y1[1] (analytic) = 1.1757819203172093086474686324424 y1[1] (numeric) = 1.1757820077707374722395025876043 absolute error = 8.74535281635920339551619e-08 relative error = 7.4379038027730780827554858276096e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2281.2MB, alloc=4.6MB, time=285.78 NO POLE NO POLE x[1] = 0.1768 y2[1] (analytic) = 1.1758803623513640446577675116683 y2[1] (numeric) = 1.1758803623513725295401509608804 absolute error = 8.4848823834492121e-15 relative error = 7.2157701200845889501183914216523e-13 % h = 0.0001 y1[1] (analytic) = 1.1758803623513640446577675116683 y1[1] (numeric) = 1.1758804500326123903186172101311 absolute error = 8.76812483456608496984628e-08 relative error = 7.4566470495627575613228081925246e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2285.0MB, alloc=4.6MB, time=285.99 NO POLE NO POLE x[1] = 0.1769 y2[1] (analytic) = 1.1759788026267151586200956300892 y2[1] (numeric) = 1.1759788026267237100043164228497 absolute error = 8.5513842207927605e-15 relative error = 7.2717162942835645341740963276549e-13 % h = 0.0001 y1[1] (analytic) = 1.1759788026267151586200956300892 y1[1] (numeric) = 1.1759788905359781348573334671298 absolute error = 8.79092629762372378370406e-08 relative error = 7.4754122081009838100410355935785e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2288.8MB, alloc=4.6MB, time=286.20 NO POLE NO POLE x[1] = 0.177 y2[1] (analytic) = 1.1760772411422782477817621837097 y2[1] (numeric) = 1.17607724114228686610155389478 absolute error = 8.6183197917110703e-15 relative error = 7.3280219106531049543929701729831e-13 % h = 0.0001 y1[1] (analytic) = 1.1760772411422782477817621837097 y1[1] (numeric) = 1.1760773292798502955464663907917 absolute error = 8.81375720477647042070820e-08 relative error = 7.4941992723335157879423926255960e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1771 y2[1] (analytic) = 1.1761756778970689269879566018757 y2[1] (numeric) = 1.1761756778970776126793124678251 absolute error = 8.6856913558659494e-15 relative error = 7.3846888003970979427827386722955e-13 % h = 0.0001 y1[1] (analytic) = 1.1761756778970689269879566018757 y1[1] (numeric) = 1.1761757662632444796688136208754 absolute error = 8.83661755526808570189997e-08 relative error = 7.5130082362078972535947716346895e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2292.6MB, alloc=4.6MB, time=286.40 NO POLE NO POLE x[1] = 0.1772 y2[1] (analytic) = 1.1762741128901028286915923988151 y2[1] (numeric) = 1.1762741128901115821927741317826 absolute error = 8.7535011817329675e-15 relative error = 7.4417188016028295829449609600102e-13 % h = 0.0001 y1[1] (analytic) = 1.1762741128901028286915923988151 y1[1] (numeric) = 1.1762742014851763121089993846548 absolute error = 8.85950734834174069858397e-08 relative error = 7.5318390936734561204517158772334e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2296.5MB, alloc=4.6MB, time=286.62 NO POLE NO POLE x[1] = 0.1773 y2[1] (analytic) = 1.1763725461203956029631508490997 y2[1] (numeric) = 1.1763725461204044247146974734169 absolute error = 8.8217515466243172e-15 relative error = 7.4991137592575684584744841432755e-13 % h = 0.0001 y1[1] (analytic) = 1.1763725461203956029631508490997 y1[1] (numeric) = 1.1763726349446614353633183008781 absolute error = 8.88242658324001674517784e-08 relative error = 7.5506918386813038124666182796458e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2300.3MB, alloc=4.6MB, time=286.83 NO POLE NO POLE x[1] = 0.1774 y2[1] (analytic) = 1.1764709775869629175005244869329 y2[1] (numeric) = 1.1764709775869718079452611986357 absolute error = 8.8904447367117028e-15 relative error = 7.5568755252651652064529001864483e-13 % h = 0.0001 y1[1] (analytic) = 1.1764709775869629175005244869329 y1[1] (numeric) = 1.1764710666407155095495790076401 absolute error = 8.90537525920490545207072e-08 relative error = 7.5695664651843346199708168724905e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1775 y2[1] (analytic) = 1.176569407288820457638860429162 y2[1] (numeric) = 1.1765694072888294172219074784226 absolute error = 8.9595830470492606e-15 relative error = 7.6150059584626706974662672467589e-13 % h = 0.0001 y1[1] (analytic) = 1.176569407288820457638860429162 y1[1] (numeric) = 1.1765694965723542124169476140687 absolute error = 8.92835337547780871849067e-08 relative error = 7.5884629671372250558156421364458e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2304.1MB, alloc=4.6MB, time=287.03 NO POLE NO POLE x[1] = 0.1776 y2[1] (analytic) = 1.1766678352249839263604035219188 y2[1] (numeric) = 1.1766678352249929555291851184256 absolute error = 9.0291687815965068e-15 relative error = 7.6735069246369695175201500703030e-13 % h = 0.0001 y1[1] (analytic) = 1.1766678352249839263604035219188 y1[1] (numeric) = 1.1766679247385932393557909757271 absolute error = 8.95136093129953874538083e-08 relative error = 7.6073813384964332117781060039292e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2307.9MB, alloc=4.6MB, time=287.25 NO POLE NO POLE x[1] = 0.1777 y2[1] (analytic) = 1.1767662613944690443043393107891 y2[1] (numeric) = 1.1767662613944781435085925521049 absolute error = 9.0992042532413158e-15 relative error = 7.7323802965414311230202731554195e-13 % h = 0.0001 y1[1] (analytic) = 1.1767662613944690443043393107891 y1[1] (numeric) = 1.176766351138448303407519793634 absolute error = 8.97439792591031804828449e-08 relative error = 7.6263215732201981152302538664852e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2311.7MB, alloc=4.6MB, time=287.46 NO POLE NO POLE x[1] = 0.1778 y2[1] (analytic) = 1.1768646857962915497766368344122 y2[1] (numeric) = 1.1768646857963007194684206573403 absolute error = 9.1696917838229281e-15 relative error = 7.7916279539125779794267404677325e-13 % h = 0.0001 y1[1] (analytic) = 1.1768646857962915497766368344122 y1[1] (numeric) = 1.1768647757709351352744315368023 absolute error = 8.99746435854977947023901e-08 relative error = 7.6452836652685390860720054712214e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2315.5MB, alloc=4.6MB, time=287.67 NO POLE NO POLE x[1] = 0.1779 y2[1] (analytic) = 1.1769631084294671987598912414134 y2[1] (numeric) = 1.1769631084294764393935953964002 absolute error = 9.2406337041549868e-15 relative error = 7.8512517834867698247236283203042e-13 % h = 0.0001 y1[1] (analytic) = 1.1769631084294671987598912414134 y1[1] (numeric) = 1.176963198635069483329553188199 absolute error = 9.02056022845696619467856e-08 relative error = 7.6642676086032550939273361773934e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.178 y2[1] (analytic) = 1.1770615292930117649231662305697 y2[1] (numeric) = 1.1770615292930210769555202791741 absolute error = 9.3120323540486044e-15 relative error = 7.9112536790169054932695574469473e-13 % h = 0.0001 y1[1] (analytic) = 1.1770615292930117649231662305697 y1[1] (numeric) = 1.1770616197298671136264838140271 absolute error = 9.04368553487033175834574e-08 relative error = 7.6832733971879241156037265872364e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2319.3MB, alloc=4.6MB, time=287.89 NO POLE NO POLE x[1] = 0.1781 y2[1] (analytic) = 1.1771599483859410396318363141109 y2[1] (numeric) = 1.1771599483859504235219186495695 absolute error = 9.3838900823354586e-15 relative error = 7.9716355412891411861294253220412e-13 % h = 0.0001 y1[1] (analytic) = 1.1771599483859410396318363141109 y1[1] (numeric) = 1.1771600390543438099092369562313 absolute error = 9.06684027702774006421204e-08 relative error = 7.7023010249879024928147236450925e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2323.2MB, alloc=4.6MB, time=288.10 NO POLE NO POLE x[1] = 0.1782 y2[1] (analytic) = 1.1772583657072708319574289040578 y2[1] (numeric) = 1.1772583657072802881666757949751 absolute error = 9.4562092468909173e-15 relative error = 8.0323992781396253488807750435008e-13 % h = 0.0001 y1[1] (analytic) = 1.1772583657072708319574289040578 y1[1] (numeric) = 1.1772584566075153736220828481292 absolute error = 9.09002445416646539440714e-08 relative error = 7.7213504859703242901654903631340e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2327.0MB, alloc=4.6MB, time=288.31 NO POLE NO POLE x[1] = 0.1783 y2[1] (analytic) = 1.1773567812560169686874662214987 y2[1] (numeric) = 1.1773567812560264976796808786924 absolute error = 9.5289922146571937e-15 relative error = 8.0935468044712509123342293452712e-13 % h = 0.0001 y1[1] (analytic) = 1.1773567812560169686874662214987 y1[1] (numeric) = 1.1773568723883976239193904530691 absolute error = 9.11323806552319242315704e-08 relative error = 7.7404217741041006534012129025991e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1784 y2[1] (analytic) = 1.1774551950311952943353070287057 y2[1] (numeric) = 1.1774551950312048965766686952363 absolute error = 9.6022413616665306e-15 relative error = 8.1550800422704241223831757217452e-13 % h = 0.0001 y1[1] (analytic) = 1.1774551950311952943353070287057 y1[1] (numeric) = 1.1774552863960063976754693260168 absolute error = 9.13648111033401622973111e-08 relative error = 7.7595148833599191679183187382374e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2330.8MB, alloc=4.6MB, time=288.53 NO POLE NO POLE x[1] = 0.1785 y2[1] (analytic) = 1.1775536070318216711499881839933 y2[1] (numeric) = 1.1775536070318313471090612484067 absolute error = 9.6759590730644134e-15 relative error = 8.2170009206238495254040334315697e-13 % h = 0.0001 y1[1] (analytic) = 1.1775536070318216711499881839933 y1[1] (numeric) = 1.1775536986293575494944112979724 absolute error = 9.15975358783444231139791e-08 relative error = 7.7786298077102432175382558343154e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2334.6MB, alloc=4.6MB, time=288.75 NO POLE NO POLE x[1] = 0.1786 y2[1] (analytic) = 1.1776520172569119791260660192197 y2[1] (numeric) = 1.1776520172569217292738091520334 absolute error = 9.7501477431328137e-15 relative error = 8.2793113757353327138732215708811e-13 % h = 0.0001 y1[1] (analytic) = 1.1776520172569119791260660192197 y1[1] (numeric) = 1.1776521090874669517199319831187 absolute error = 9.18305549725938659638990e-08 relative error = 7.7977665411293113435438121796027e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2338.4MB, alloc=4.6MB, time=288.97 NO POLE NO POLE x[1] = 0.1787 y2[1] (analytic) = 1.1777504257054821160134575398328 y2[1] (numeric) = 1.1777504257054919408232328532944 absolute error = 9.8248097753134616e-15 relative error = 8.3420133509425992093057419515030e-13 % h = 0.0001 y1[1] (analytic) = 1.1777504257054821160134575398328 y1[1] (numeric) = 1.1777505177693504944452121086027 absolute error = 9.20638683784317545687699e-08 relative error = 7.8169250775931366039778106817045e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2342.2MB, alloc=4.6MB, time=289.18 NO POLE NO POLE x[1] = 0.1788 y2[1] (analytic) = 1.1778488323765479973272814473634 y2[1] (numeric) = 1.1778488323765578972748636785108 absolute error = 9.8999475822311474e-15 relative error = 8.4051087967341300681205302660348e-13 % h = 0.0001 y1[1] (analytic) = 1.1778488323765479973272814473634 y1[1] (numeric) = 1.1778489246740240855227386668524 absolute error = 9.22974760881954572194890e-08 relative error = 7.8361054110795059332040314936375e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1789 y2[1] (analytic) = 1.177947237269125556357698984265 y2[1] (numeric) = 1.1779472372691355319212847013185 absolute error = 9.9755635857170535e-15 relative error = 8.4685996707660148805412663818576e-13 % h = 0.0001 y1[1] (analytic) = 1.177947237269125556357698984265 y1[1] (numeric) = 1.1779473298005036505741458903297 absolute error = 9.25313780942164469060647e-08 relative error = 7.8553075355679795017303582454418e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2346.0MB, alloc=4.6MB, time=289.39 NO POLE NO POLE x[1] = 0.179 y2[1] (analytic) = 1.1780456403822307441797546010046 y2[1] (numeric) = 1.1780456403822407958399714331192 absolute error = 1.00516602168321146e-14 relative error = 8.5324879378788205402634474146542e-13 % h = 0.0001 y1[1] (analytic) = 1.1780456403822307441797546010046 y1[1] (numeric) = 1.1780457331478051330000560486218 absolute error = 9.27655743888203014476172e-08 relative error = 7.8745314450398900762938560245074e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2349.9MB, alloc=4.6MB, time=289.60 NO POLE NO POLE x[1] = 0.1791 y2[1] (analytic) = 1.1781440417148795296632164453041 y2[1] (numeric) = 1.1781440417148896579031323357121 absolute error = 1.01282399158904080e-14 relative error = 8.5967755701144773042368026151885e-13 % h = 0.0001 y1[1] (analytic) = 1.1781440417148795296632164453041 y1[1] (numeric) = 1.1781441347149444939899200677715 absolute error = 9.30000649643267036224674e-08 relative error = 7.8937771334783423802077267876688e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2353.7MB, alloc=4.6MB, time=289.81 NO POLE NO POLE x[1] = 0.1792 y2[1] (analytic) = 1.1782424412660878994824166734339 y2[1] (numeric) = 1.1782424412660981047875491560075 absolute error = 1.02053051324825736e-14 relative error = 8.6614645467331817937106081796843e-13 % h = 0.0001 y1[1] (analytic) = 1.1782424412660878994824166734339 y1[1] (numeric) = 1.1782425345009377125318579717496 absolute error = 9.32348498130494412983157e-08 relative error = 7.9130445948682124539701558043325e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2357.5MB, alloc=4.6MB, time=290.02 x[1] = 0.1793 y2[1] (analytic) = 1.1783408390348718581260915834619 y2[1] (numeric) = 1.1783408390348821409844170827244 absolute error = 1.02828583254992625e-14 relative error = 8.7265568542303159938683991834781e-13 % h = 0.0001 y1[1] (analytic) = 1.1783408390348718581260915834619 y1[1] (numeric) = 1.1783409325048007854224991459694 absolute error = 9.34699289272964075625075e-08 relative error = 7.9323338231961470161346553505908e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1794 y2[1] (analytic) = 1.1784392350202474279072215703574 y2[1] (numeric) = 1.1784392350202577888091847249734 absolute error = 1.03609019631546160e-14 relative error = 8.7920544863533837708918405861788e-13 % h = 0.0001 y1[1] (analytic) = 1.1784392350202474279072215703574 y1[1] (numeric) = 1.1784393287255497272768224227461 absolute error = 9.37053022993696008523887e-08 relative error = 7.9516448124505628244420636965872e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2361.3MB, alloc=4.6MB, time=290.23 NO POLE NO POLE x[1] = 0.1795 y2[1] (analytic) = 1.1785376292212306489728709028538 y2[1] (numeric) = 1.1785376292212410884113939126266 absolute error = 1.04394385230097728e-14 relative error = 8.8579594441189630302438065114073e-13 % h = 0.0001 y1[1] (analytic) = 1.1785376292212306489728709028538 y1[1] (numeric) = 1.1785377231622005705379959886019 absolute error = 9.39409699215651250857481e-08 relative error = 7.9709775566216460372138142601662e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2365.1MB, alloc=4.6MB, time=290.44 NO POLE NO POLE x[1] = 0.1796 y2[1] (analytic) = 1.1786360216368375793140273219692 y2[1] (numeric) = 1.178636021636848097784519318376 absolute error = 1.05184704919964068e-14 relative error = 8.9242737358296755440316532531978e-13 % h = 0.0001 y1[1] (analytic) = 1.1786360216368375793140273219692 y1[1] (numeric) = 1.1786361158137693654872171133192 absolute error = 9.41769317861731897913500e-08 relative error = 7.9903320497013515750066330398811e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2368.9MB, alloc=4.6MB, time=290.66 NO POLE NO POLE x[1] = 0.1797 y2[1] (analytic) = 1.1787344122660842947754414610883 y2[1] (numeric) = 1.1787344122660948927758079013825 absolute error = 1.05980003664402942e-14 relative error = 8.9909993770911733349991157091200e-13 % h = 0.0001 y1[1] (analytic) = 1.1787344122660842947754414610883 y1[1] (numeric) = 1.1787345066792721802535517006423 absolute error = 9.44131878854781102395540e-08 relative error = 8.0097082856834024825282878455382e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1798 y2[1] (analytic) = 1.1788328011079868890654660875073 y2[1] (numeric) = 1.178832801107997567096118172416 absolute error = 1.06780306520849087e-14 relative error = 9.0581383908291405902692506573423e-13 % h = 0.0001 y1[1] (analytic) = 1.1788328011079868890654660875073 y1[1] (numeric) = 1.1788328957577251008237736605307 absolute error = 9.46497382117583075730234e-08 relative error = 8.0291062585632892908143863286931e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2372.7MB, alloc=4.6MB, time=290.87 NO POLE NO POLE x[1] = 0.1799 y2[1] (analytic) = 1.1789311881615614737658951653414 y2[1] (numeric) = 1.1789311881615722323297592803895 absolute error = 1.07585638641150481e-14 relative error = 9.1256928073063138956645896819801e-13 % h = 0.0001 y1[1] (analytic) = 1.1789311881615614737658951653414 y1[1] (numeric) = 1.1789312830481442310522041028642 absolute error = 9.48865827572863089375228e-08 relative error = 8.0485259623382693796661519417457e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2376.6MB, alloc=4.6MB, time=291.08 NO POLE NO POLE x[1] = 0.18 y2[1] (analytic) = 1.1790295734258241783418027396992 y2[1] (numeric) = 1.179029573425835017944329920188 absolute error = 1.08396025271804888e-14 relative error = 9.1936646641395178121140511716932e-13 % h = 0.0001 y1[1] (analytic) = 1.1790295734258241783418027396992 y1[1] (numeric) = 1.1790296685495456926705503525026 absolute error = 9.51237215143287476128034e-08 relative error = 8.0679673910073663403489288712913e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2380.4MB, alloc=4.6MB, time=291.29 NO POLE NO POLE x[1] = 0.1801 y2[1] (analytic) = 1.1791279568997911501513816420236 y2[1] (numeric) = 1.1791279568998020713005570616939 absolute error = 1.09211491754196703e-14 relative error = 9.2620560063167175669183847164137e-13 % h = 0.0001 y1[1] (analytic) = 1.1791279568997911501513816420236 y1[1] (numeric) = 1.1791280522609456252977447856006 absolute error = 9.53611544751463631435770e-08 relative error = 8.0874305385713693385513791610156e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2384.2MB, alloc=4.6MB, time=291.50 x[1] = 0.1802 y2[1] (analytic) = 1.1792263385824785544557820165014 y2[1] (numeric) = 1.1792263385824895576621344999109 absolute error = 1.10032063524834095e-14 relative error = 9.3308688862140886810328220925264e-13 % h = 0.0001 y1[1] (analytic) = 1.1792263385824785544557820165014 y1[1] (numeric) = 1.1792264341813601864497834870803 absolute error = 9.55988816319940014705789e-08 relative error = 8.1069153990328324776052674051983e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1803 y2[1] (analytic) = 1.1793247184729025744289496674443 y2[1] (numeric) = 1.1793247184729136602055612260874 absolute error = 1.10857766115586431e-14 relative error = 9.4001053636131020817321544648239e-13 % h = 0.0001 y1[1] (analytic) = 1.1793247184729025744289496674443 y1[1] (numeric) = 1.1793248143098055515495647291621 absolute error = 9.58369029771206150617178e-08 relative error = 8.1264219663960741619655503780545e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2388.0MB, alloc=4.6MB, time=291.71 NO POLE NO POLE x[1] = 0.1804 y2[1] (analytic) = 1.1794230965700794111674642275404 y2[1] (numeric) = 1.1794230965700905800299796197417 absolute error = 1.11688625153922013e-14 relative error = 9.4697675057176274055665165098522e-13 % h = 0.0001 y1[1] (analytic) = 1.1794230965700794111674642275404 y1[1] (numeric) = 1.179423192645297913936727270857 absolute error = 9.60752185027692630433166e-08 relative error = 8.1459502346671764609509809009853e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2391.8MB, alloc=4.6MB, time=291.93 NO POLE NO POLE x[1] = 0.1805 y2[1] (analytic) = 1.1795214728730252837003771468808 y2[1] (numeric) = 1.1795214728730365361670134614901 absolute error = 1.12524666363146093e-14 relative error = 9.5398573871710515144431843659723e-13 % h = 0.0001 y1[1] (analytic) = 1.1795214728730252837003771468808 y1[1] (numeric) = 1.1795215691868534848774884783198 absolute error = 9.63138282011771113314390e-08 relative error = 8.1655001978539844727446720711981e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2395.6MB, alloc=4.6MB, time=292.14 NO POLE NO POLE x[1] = 0.1806 y2[1] (analytic) = 1.1796198473807564289990495026606 y2[1] (numeric) = 1.1796198473807677655906057665797 absolute error = 1.13365915562639191e-14 relative error = 9.6103770900734143360419147368127e-13 % h = 0.0001 y1[1] (analytic) = 1.1796198473807564289990495026606 y1[1] (numeric) = 1.1796199439334884935744822659671 absolute error = 9.65527320645754327633065e-08 relative error = 8.1850718499661056886548906259352e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1807 y2[1] (analytic) = 1.1797182200922891019869896294573 y2[1] (numeric) = 1.1797182200923005232268564390278 absolute error = 1.14212398668095705e-14 relative error = 9.6813287039985610867882558106061e-13 % h = 0.0001 y1[1] (analytic) = 1.1797182200922891019869896294573 y1[1] (numeric) = 1.17971831688421918717659685826 absolute error = 9.67919300851896072288027e-08 relative error = 8.2046651850149093576356953213864e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2399.4MB, alloc=4.6MB, time=292.35 NO POLE NO POLE x[1] = 0.1808 y2[1] (analytic) = 1.1798165910066395755496905699872 y2[1] (numeric) = 1.1798165910066510819638597462686 absolute error = 1.15064141691762814e-14 relative error = 9.7527143260113109533462208731471e-13 % h = 0.0001 y1[1] (analytic) = 1.1798165910066395755496905699872 y1[1] (numeric) = 1.1798166880380618307888123720541 absolute error = 9.70314222552391218020669e-08 relative error = 8.2242801970135258510674687146068e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2403.3MB, alloc=4.6MB, time=292.56 NO POLE NO POLE x[1] = 0.1809 y2[1] (analytic) = 1.1799149601228241405444673462428 y2[1] (numeric) = 1.1799149601228357326615416142102 absolute error = 1.15921170742679674e-14 relative error = 9.8245360606846422237906721096473e-13 % h = 0.0001 y1[1] (analytic) = 1.1799149601228241405444673462428 y1[1] (numeric) = 1.179915057394032707482038219418 absolute error = 9.72712085669375708731752e-08 relative error = 8.2439168799768460277970686297902e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2407.1MB, alloc=4.6MB, time=292.78 NO POLE NO POLE x[1] = 0.181 y2[1] (analytic) = 1.1800133274398591058102940509108 y2[1] (numeric) = 1.1800133274398707841614967426022 absolute error = 1.16783512026916914e-14 relative error = 9.8967960201168944528407905620337e-13 % h = 0.0001 y1[1] (analytic) = 1.1800133274398591058102940509108 y1[1] (numeric) = 1.1800134249511481183029503308218 absolute error = 9.75112890124926562799110e-08 relative error = 8.2635752279215205994376393110462e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2410.9MB, alloc=4.6MB, time=292.99 x[1] = 0.1811 y2[1] (analytic) = 1.1801116929567607981776407589747 y2[1] (numeric) = 1.1801116929567725632968255406168 absolute error = 1.17651191847816421e-14 relative error = 9.9694963239489867198684716200790e-13 % h = 0.0001 y1[1] (analytic) = 1.1801116929567607981776407589747 y1[1] (numeric) = 1.1801117907084243822838281985977 absolute error = 9.77516635841061874396230e-08 relative error = 8.2832552348659594959278002161661e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1812 y2[1] (analytic) = 1.1802100566725455624783102594015 y2[1] (numeric) = 1.1802100566725574149019708825435 absolute error = 1.18524236606231420e-14 relative error = 1.0042639099381652479446163410780e-12 % h = 0.0001 y1[1] (analytic) = 1.1802100566725455624783102594015 y1[1] (numeric) = 1.1802101546648778364523917405743 absolute error = 9.79923322739740814811728e-08 relative error = 8.3029568948303312313502694991438e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2414.7MB, alloc=4.6MB, time=293.20 NO POLE NO POLE x[1] = 0.1813 y2[1] (analytic) = 1.1803084185862297615552746068158 y2[1] (numeric) = 1.1803084185862417018225546835006 absolute error = 1.19402672800766848e-14 relative error = 1.0116226481192690910801632637860e-12 % h = 0.0001 y1[1] (analytic) = 1.1803084185862297615552746068158 y1[1] (numeric) = 1.1803085168195248358416379837853 absolute error = 9.82332950742863633769695e-08 relative error = 8.3226802018365622700095809726422e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2418.5MB, alloc=4.6MB, time=293.40 NO POLE NO POLE x[1] = 0.1814 y2[1] (analytic) = 1.1804067786968297762725114930618 y2[1] (numeric) = 1.180406778696841804925214295064 absolute error = 1.20286527028020022e-14 relative error = 1.0190260611754234757327622269043e-12 % h = 0.0001 y1[1] (analytic) = 1.1804067786968297762725114930618 y1[1] (numeric) = 1.1804068771713817534996775681556 absolute error = 9.84745519772271660750938e-08 relative error = 8.3424251499083363927689856060250e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2422.3MB, alloc=4.6MB, time=293.61 NO POLE NO POLE x[1] = 0.1815 y2[1] (analytic) = 1.1805051370033620055248404385551 y2[1] (numeric) = 1.1805051370033741231074387207157 absolute error = 1.21175825982821606e-14 relative error = 1.0264743641050035070849267318874e-12 % h = 0.0001 y1[1] (analytic) = 1.1805051370033620055248404385551 y1[1] (numeric) = 1.1805052357194649804995710700655 absolute error = 9.87161029749747306315104e-08 relative error = 8.3621917330710940636463151112367e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1816 y2[1] (analytic) = 1.1806034935048428662477588033267 y2[1] (numeric) = 1.1806034935048550733074046510129 absolute error = 1.22070596458476862e-14 relative error = 1.0339677726692761581028386269250e-12 % h = 0.0001 y1[1] (analytic) = 1.1806034935048428662477588033267 y1[1] (numeric) = 1.180603592462790925949165145695 absolute error = 9.89579480597014063423683e-08 relative error = 8.3819799453520317966686530615557e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2426.2MB, alloc=4.6MB, time=293.83 NO POLE NO POLE x[1] = 0.1817 y2[1] (analytic) = 1.1807018482002887934272776176593 y2[1] (numeric) = 1.18070184820030109051381231838 absolute error = 1.22970865347007207e-14 relative error = 1.0415065033941320544867364940190e-12 % h = 0.0001 y1[1] (analytic) = 1.1807018482002887934272776176593 y1[1] (numeric) = 1.1807019474003760170009284940495 absolute error = 9.92000872235736508763902e-08 relative error = 8.4017897807801015229857945864228e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2430.0MB, alloc=4.6MB, time=294.04 NO POLE NO POLE x[1] = 0.1818 y2[1] (analytic) = 1.1808002010887162401097572322196 y2[1] (numeric) = 1.1808002010887286277757211714249 absolute error = 1.23876659639392053e-14 relative error = 1.0490907735718188119065805997369e-12 % h = 0.0001 y1[1] (analytic) = 1.1808002010887162401097572322196 y1[1] (numeric) = 1.1808003005312366988617876395692 absolute error = 9.94425204587520304073496e-08 relative error = 8.4216212333860099582422554910489e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2433.8MB, alloc=4.6MB, time=294.25 NO POLE NO POLE x[1] = 0.1819 y2[1] (analytic) = 1.1808985521691416774117427875861 y2[1] (numeric) = 1.1808985521691541562123853686809 absolute error = 1.24788006425810948e-14 relative error = 1.0567208012626760771221185157281e-12 % h = 0.0001 y1[1] (analytic) = 1.1808985521691416774117427875861 y1[1] (numeric) = 1.1808986518543894348029625342231 absolute error = 9.96852477573912197466370e-08 relative error = 8.4414742972022179702078288990340e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2437.6MB, alloc=4.6MB, time=294.47 x[1] = 0.182 y2[1] (analytic) = 1.1809969014405815945297995030755 y2[1] (numeric) = 1.1809969014405941650230890916767 absolute error = 1.25704932895886012e-14 relative error = 1.0643968052968722212674794267036e-12 % h = 0.0001 y1[1] (analytic) = 1.1809969014405815945297995030755 y1[1] (numeric) = 1.1809970013688507061698019789897 absolute error = 9.99282691116400024759142e-08 relative error = 8.4613489662629399466664842819066e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1821 y2[1] (analytic) = 1.1810952489020524987503477847689 y2[1] (numeric) = 1.1810952489020651614969816772349 absolute error = 1.26627466338924660e-14 relative error = 1.0721190052761426166815957354529e-12 % h = 0.0001 y1[1] (analytic) = 1.1810952489020524987503477847689 y1[1] (numeric) = 1.1810953490736370123916188646259 absolute error = 1.001715845136412710798570e-07 relative error = 8.4812452346041431635635139260935e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2441.4MB, alloc=4.6MB, time=294.69 NO POLE NO POLE x[1] = 0.1822 y2[1] (analytic) = 1.1811935945525709154594981526397 y2[1] (numeric) = 1.1811935945525836710229125689019 absolute error = 1.27555634144162622e-14 relative error = 1.0798876215755295810998357908379e-12 % h = 0.0001 y1[1] (analytic) = 1.1811935945525709154594981526397 y1[1] (numeric) = 1.1811936949677648709915252316258 absolute error = 1.004151939555320270789861e-07 relative error = 8.5011630962635471534107896036154e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2445.2MB, alloc=4.6MB, time=294.89 NO POLE NO POLE x[1] = 0.1823 y2[1] (analytic) = 1.1812919383911533881528859866835 y2[1] (numeric) = 1.1812919383911662370992660874104 absolute error = 1.28489463801007269e-14 relative error = 1.0877028753451240645012499235175e-12 % h = 0.0001 y1[1] (analytic) = 1.1812919383911533881528859866835 y1[1] (numeric) = 1.1812920390502508175962671492708 absolute error = 1.006590974294433811625873e-07 relative error = 8.5211025452806230739501023358435e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2449.0MB, alloc=4.6MB, time=295.10 NO POLE NO POLE x[1] = 0.1824 y2[1] (analytic) = 1.1813902804168164784455060919546 y2[1] (numeric) = 1.1813902804168294213437960200753 absolute error = 1.29428982899281207e-14 relative error = 1.0955649885118087560194896274178e-12 % h = 0.0001 y1[1] (analytic) = 1.1813902804168164784455060919546 y1[1] (numeric) = 1.1813903813201114059460594136732 absolute error = 1.009032949275005533217186e-07 relative error = 8.5410635756965930770742618792076e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1825 y2[1] (analytic) = 1.1814886206285767660815470824068 y2[1] (numeric) = 1.1814886206285898035034600290263 absolute error = 1.30374219129466195e-14 relative error = 1.1034741837810030841468979438265e-12 % h = 0.0001 y1[1] (analytic) = 1.1814886206285767660815470824068 y1[1] (numeric) = 1.1814887217763632079044200647145 absolute error = 1.011477864418228729823077e-07 relative error = 8.5610461815544296780061321297947e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2452.9MB, alloc=4.6MB, time=295.31 NO POLE NO POLE x[1] = 0.1826 y2[1] (analytic) = 1.1815869590254508489442255834442 y2[1] (numeric) = 1.1815869590254639814642538781774 absolute error = 1.31325200282947332e-14 relative error = 1.1114306846384096437317658433425e-12 % h = 0.0001 y1[1] (analytic) = 1.1815869590254508489442255834442 y1[1] (numeric) = 1.1815870604180228134680047217801 absolute error = 1.013925719645237791383359e-07 relative error = 8.5810503568988551247351437695069e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2456.7MB, alloc=4.6MB, time=295.53 NO POLE NO POLE x[1] = 0.1827 y2[1] (analytic) = 1.1816852956064553430656202530804 y2[1] (numeric) = 1.1816852956064685712610454788356 absolute error = 1.32281954252257552e-14 relative error = 1.1194347153517623790535381007921e-12 % h = 0.0001 y1[1] (analytic) = 1.1816852956064553430656202530804 y1[1] (numeric) = 1.1816853972441068307764407381921 absolute error = 1.016376514877108204851117e-07 relative error = 8.6010760957763407677114435263105e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2460.5MB, alloc=4.6MB, time=295.75 NO POLE NO POLE x[1] = 0.1828 y2[1] (analytic) = 1.1817836303706068826365056216095 y2[1] (numeric) = 1.1817836303706202070874087538508 absolute error = 1.33244509031322413e-14 relative error = 1.1274865009725764035670488982906e-12 % h = 0.0001 y1[1] (analytic) = 1.1817836303706068826365056216095 y1[1] (numeric) = 1.1817837322536318861221611742419 absolute error = 1.018830250034856555526324e-07 relative error = 8.6211233922351064297974162083865e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2464.3MB, alloc=4.6MB, time=295.96 x[1] = 0.1829 y2[1] (analytic) = 1.1818819633169221200161857496904 y2[1] (numeric) = 1.1818819633169355413054573202075 absolute error = 1.34212892715705171e-14 relative error = 1.1355862673378993792919114523225e-12 % h = 0.0001 y1[1] (analytic) = 1.1818819633169221200161857496904 y1[1] (numeric) = 1.1818820654456146239602385887243 absolute error = 1.021286925039440528390339e-07 relative error = 8.6411922403251197764764765908832e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.183 y2[1] (analytic) = 1.1819802944444177257423277047451 y2[1] (numeric) = 1.181980294444431244455677989961 absolute error = 1.35187133502852159e-14 relative error = 1.1437342410720646242255590977182e-12 % h = 0.0001 y1[1] (analytic) = 1.1819802944444177257423277047451 y1[1] (numeric) = 1.1819803968190717069182186488749 absolute error = 1.023746539811758909441298e-07 relative error = 8.6612826340980956863191044286015e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2468.1MB, alloc=4.6MB, time=296.16 NO POLE NO POLE x[1] = 0.1831 y2[1] (analytic) = 1.1820786237521103885407948555746 y2[1] (numeric) = 1.1820786237521240052667640894193 absolute error = 1.36167259692338447e-14 relative error = 1.1519306495884457438208692333503e-12 % h = 0.0001 y1[1] (analytic) = 1.1820786237521103885407948555746 y1[1] (numeric) = 1.1820787263730198158059535586118 absolute error = 1.026209094272651587030372e-07 relative error = 8.6813945676074956217057828604986e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2471.9MB, alloc=4.6MB, time=296.37 NO POLE NO POLE x[1] = 0.1832 y2[1] (analytic) = 1.1821769512390168153354799850912 y2[1] (numeric) = 1.1821769512390305306654485964725 absolute error = 1.37153299686113813e-14 relative error = 1.1601757210912130394895799327760e-12 % h = 0.0001 y1[1] (analytic) = 1.1821769512390168153354799850912 y1[1] (numeric) = 1.1821770541064756496254353049841 absolute error = 1.028674588342899553198929e-07 relative error = 8.7015280349085269998070335958892e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2475.7MB, alloc=4.6MB, time=296.58 NO POLE NO POLE x[1] = 0.1833 y2[1] (analytic) = 1.1822752769041537312581382210722 y2[1] (numeric) = 1.182275276904167545786337095971 absolute error = 1.38145281988748988e-14 relative error = 1.1684696845770913802206610516078e-12 % h = 0.0001 y1[1] (analytic) = 1.1822752769041537312581382210722 y1[1] (numeric) = 1.1822753800184559255806287227285 absolute error = 1.031143021943224905016563e-07 relative error = 8.7216830300581425638201162145061e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1834 y2[1] (analytic) = 1.1823736007465378796582197848334 y2[1] (numeric) = 1.182373600746551793981740553055 absolute error = 1.39143235207682216e-14 relative error = 1.1768127698371198833017583433018e-12 % h = 0.0001 y1[1] (analytic) = 1.1823736007465378796582197848334 y1[1] (numeric) = 1.1823737041079773790873043768354 absolute error = 1.033614394994290845920020e-07 relative error = 8.7418595471150397544625258400196e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2479.6MB, alloc=4.6MB, time=296.79 NO POLE NO POLE x[1] = 0.1835 y2[1] (analytic) = 1.1824719227651860221127025577269 y2[1] (numeric) = 1.1824719227652000368315079043358 absolute error = 1.40147188053466089e-14 relative error = 1.1852052074584130648961291092098e-12 % h = 0.0001 y1[1] (analytic) = 1.1824719227651860221127025577269 y1[1] (numeric) = 1.1824720263740567637828712630266 absolute error = 1.036088707416701687052997e-07 relative error = 8.7620575801396600817219666695839e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2483.4MB, alloc=4.6MB, time=297.00 NO POLE NO POLE x[1] = 0.1836 y2[1] (analytic) = 1.1825702429591149384359244653631 y2[1] (numeric) = 1.1825702429591290541528584668319 absolute error = 1.41157169340014688e-14 relative error = 1.1936472288259237218404590352242e-12 % h = 0.0001 y1[1] (analytic) = 1.1825702429591149384359244653631 y1[1] (numeric) = 1.1825703468157108515362093260463 absolute error = 1.038565959131002848606832e-07 relative error = 8.7822771231941884968628341979470e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2487.2MB, alloc=4.6MB, time=297.21 NO POLE NO POLE x[1] = 0.1837 y2[1] (analytic) = 1.1826685613273414266894156794589 y2[1] (numeric) = 1.1826685613273556440102141645604 absolute error = 1.42173207984851015e-14 relative error = 1.2021390661242074169043715113643e-12 % h = 0.0001 y1[1] (analytic) = 1.1826685613273414266894156794589 y1[1] (numeric) = 1.1826686654319564324575017956666 absolute error = 1.041046150057680861162077e-07 relative error = 8.8025181703425527646890190938038e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2491.0MB, alloc=4.6MB, time=297.42 x[1] = 0.1838 y2[1] (analytic) = 1.1827668778688823031917306372143 y2[1] (numeric) = 1.1827668778688966227250315726858 absolute error = 1.43195333009354715e-14 relative error = 1.2106809523391885582040762356766e-12 % h = 0.0001 y1[1] (analytic) = 1.1827668778688823031917306372143 y1[1] (numeric) = 1.1827669822218103149080673403097 absolute error = 1.043529280117163367030954e-07 relative error = 8.8227807156504228360629134313035e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1839 y2[1] (analytic) = 1.1828651925827544025282798781187 y2[1] (numeric) = 1.1828651925827688248856337791286 absolute error = 1.44223573539010099e-14 relative error = 1.2192731212599281649175281673162e-12 % h = 0.0001 y1[1] (analytic) = 1.1828651925827544025282798781187 y1[1] (numeric) = 1.1828652971842893255101920381878 absolute error = 1.046015349229819121600691e-07 relative error = 8.8430647531852102206804746796494e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2494.8MB, alloc=4.6MB, time=297.64 NO POLE NO POLE x[1] = 0.184 y2[1] (analytic) = 1.1829635054679745775611616980887 y2[1] (numeric) = 1.182963505467989103357042063534 absolute error = 1.45257958803654453e-14 relative error = 1.2279158074803931916003530816713e-12 % h = 0.0001 y1[1] (analytic) = 1.1829635054679745775611616980887 y1[1] (numeric) = 1.1829636103184103091569611658636 absolute error = 1.048504357315957994677749e-07 relative error = 8.8633702770160673601023212795676e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2498.6MB, alloc=4.6MB, time=297.84 NO POLE NO POLE x[1] = 0.1841 y2[1] (analytic) = 1.1830618165235596994389936208386 y2[1] (numeric) = 1.1830618165235743292908073935035 absolute error = 1.46298518137726649e-14 relative error = 1.2366092464012275455187989115165e-12 % h = 0.0001 y1[1] (analytic) = 1.1830618165235596994389936208386 y1[1] (numeric) = 1.1830619216231901290220908041314 absolute error = 1.050996304295830971832928e-07 relative error = 8.8836972812138870010406392248916e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2502.4MB, alloc=4.6MB, time=298.05 NO POLE NO POLE x[1] = 0.1842 y2[1] (analytic) = 1.1831601257485266576067436863863 y2[1] (numeric) = 1.1831601257485413921348417379906 absolute error = 1.47345280980516043e-14 relative error = 1.2453536742315246693165891777374e-12 % h = 0.0001 y1[1] (analytic) = 1.1831601257485266576067436863863 y1[1] (numeric) = 1.1831602310976456665697592611222 absolute error = 1.053491190089630155747359e-07 relative error = 8.9040457598513015689018397838979e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1843 y2[1] (analytic) = 1.1832584331418923598155615565956 y2[1] (numeric) = 1.1832584331419071996432491977624 absolute error = 1.48398276876411668e-14 relative error = 1.2541493279906017557960753691930e-12 % h = 0.0001 y1[1] (analytic) = 1.1832584331418923598155615565956 y1[1] (numeric) = 1.183258538740793821564438312533 absolute error = 1.055989014617488767559374e-07 relative error = 8.9244157070026825415847817491423e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2506.3MB, alloc=4.6MB, time=298.25 NO POLE NO POLE x[1] = 0.1844 y2[1] (analytic) = 1.183356738702673732132609437656 y2[1] (numeric) = 1.1833567387026886778861569528289 absolute error = 1.49457535475151729e-14 relative error = 1.2629964455097756530993158978856e-12 % h = 0.0001 y1[1] (analytic) = 1.183356738702673732132609437656 y1[1] (numeric) = 1.1833568445516515120807242588832 absolute error = 1.058489777799481148212272e-07 relative error = 8.9448071167441398235345914254424e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2510.1MB, alloc=4.6MB, time=298.48 NO POLE NO POLE x[1] = 0.1845 y2[1] (analytic) = 1.1834550424298877189508928194033 y2[1] (numeric) = 1.1834550424299027712595460267411 absolute error = 1.50523086532073378e-14 relative error = 1.2718952654341402734909105939681e-12 % h = 0.0001 y1[1] (analytic) = 1.1834550424298877189508928194033 y1[1] (numeric) = 1.1834551485292356745131687996989 absolute error = 1.060993479555622759802956e-07 relative error = 8.9652199831535211200517501835820e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2513.9MB, alloc=4.6MB, time=298.70 NO POLE NO POLE x[1] = 0.1846 y2[1] (analytic) = 1.183553344322551282999091031381 y2[1] (numeric) = 1.1835533443225664424950818676608 absolute error = 1.51594959908362798e-14 relative error = 1.2808460272243457499744925720514e-12 % h = 0.0001 y1[1] (analytic) = 1.183553344322551282999091031381 y1[1] (numeric) = 1.1835534506725632635861097245273 absolute error = 1.063500119805870186931463e-07 relative error = 8.9856543003104113118565167189314e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2517.7MB, alloc=4.6MB, time=298.91 x[1] = 0.1847 y2[1] (analytic) = 1.183651644379681405351387615546 y2[1] (numeric) = 1.1836516443796966726699447461023 absolute error = 1.52673185571305563e-14 relative error = 1.2898489711583790610099006513131e-12 % h = 0.0001 y1[1] (analytic) = 1.183651644379681405351387615546 y1[1] (numeric) = 1.1836517509806512523635014206825 absolute error = 1.066009698470121138051365e-07 relative error = 9.0061100622961318299083793615042e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1848 y2[1] (analytic) = 1.1837499426002950854373005155176 y2[1] (numeric) = 1.1837499426003104612166599692489 absolute error = 1.53757793594537313e-14 relative error = 1.2989043383333464520206105289833e-12 % h = 0.0001 y1[1] (analytic) = 1.1837499426002950854373005155176 y1[1] (numeric) = 1.1837500494525166322587451976251 absolute error = 1.068522215468214446821075e-07 relative error = 9.0265872631937400304807070422441e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2521.5MB, alloc=4.6MB, time=299.12 NO POLE NO POLE x[1] = 0.1849 y2[1] (analytic) = 1.1838482389834093410515120822749 y2[1] (numeric) = 1.1838482389834248259329279117453 absolute error = 1.54848814158294704e-14 relative error = 1.3080123706672573148475525398163e-12 % h = 0.0001 y1[1] (analytic) = 1.1838482389834093410515120822749 y1[1] (numeric) = 1.1838483460871764130445194278763 absolute error = 1.071037670719930073456014e-07 relative error = 9.0470858970880285704901085230371e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2525.3MB, alloc=4.6MB, time=299.33 NO POLE NO POLE x[1] = 0.185 y2[1] (analytic) = 1.1839465335280412083636988962014 y2[1] (numeric) = 1.1839465335280568029914538628679 absolute error = 1.55946277549666665e-14 relative error = 1.3171733109008097946662278444002e-12 % h = 0.0001 y1[1] (analytic) = 1.1839465335280412083636988962014 y1[1] (numeric) = 1.183946640883647622862609504369 absolute error = 1.073556064144989106081676e-07 relative error = 9.0676059580655247830806939592182e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2529.2MB, alloc=4.6MB, time=299.55 NO POLE NO POLE x[1] = 0.1851 y2[1] (analytic) = 1.1840448262332077419283614053804 y2[1] (numeric) = 1.1840448262332234469497776899742 absolute error = 1.57050214162845938e-14 relative error = 1.3263874025991779207501231169511e-12 % h = 0.0001 y1[1] (analytic) = 1.1840448262332077419283614053804 y1[1] (numeric) = 1.1840449338409473082337376141373 absolute error = 1.076077395663053762087569e-07 relative error = 9.0881474402144900534629344254768e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1852 y2[1] (analytic) = 1.1841431170979260146946533800412 y2[1] (numeric) = 1.1841431170979418307601033181335 absolute error = 1.58160654499380923e-14 relative error = 1.3356548901538004460653494567004e-12 % h = 0.0001 y1[1] (analytic) = 1.1841431170979260146946533800412 y1[1] (numeric) = 1.1841432249580925340673923282462 absolute error = 1.078601665193727389482050e-07 relative error = 9.1087103376249191950071530182390e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2533.0MB, alloc=4.6MB, time=299.76 NO POLE NO POLE x[1] = 0.1853 y2[1] (analytic) = 1.1842414061212131180162111830601 y2[1] (numeric) = 1.1842414061212290457791280258407 absolute error = 1.59277629168427806e-14 relative error = 1.3449760187841712090128863356580e-12 % h = 0.0001 y1[1] (analytic) = 1.1842414061212131180162111830601 y1[1] (numeric) = 1.1842415142341003836716580078628 absolute error = 1.081128872656554468248027e-07 relative error = 9.1292946443885398255913011181971e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2536.8MB, alloc=4.6MB, time=299.97 NO POLE NO POLE x[1] = 0.1854 y2[1] (analytic) = 1.1843396933020861616609828564152 y2[1] (numeric) = 1.1843396933021022017778715567144 absolute error = 1.60401168887002992e-14 relative error = 1.3543510345396312022739421875902e-12 % h = 0.0001 y1[1] (analytic) = 1.1843396933020861616609828564152 y1[1] (numeric) = 1.1843398016679879587630440263713 absolute error = 1.083659017971020611699561e-07 relative error = 9.1499003545988117442031802211452e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2540.6MB, alloc=4.6MB, time=300.18 NO POLE NO POLE x[1] = 0.1855 y2[1] (analytic) = 1.184437978639562273821057023499 y2[1] (numeric) = 1.184437978639578426951505047081 absolute error = 1.61531304480235820e-14 relative error = 1.3637801843011621536642828904897e-12 % h = 0.0001 y1[1] (analytic) = 1.184437978639562273821057023499 y1[1] (numeric) = 1.1844380872587723794763138074333 absolute error = 1.086192101056552567839343e-07 relative error = 9.1705274623509263077967799380850e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2544.4MB, alloc=4.6MB, time=300.40 x[1] = 0.1856 y2[1] (analytic) = 1.1845362621326586011224916071897 y2[1] (numeric) = 1.1845362621326748679291797693475 absolute error = 1.62668066881621578e-14 relative error = 1.3732637157831817701600495261160e-12 % h = 0.0001 y1[1] (analytic) = 1.1845362621326586011224916071897 y1[1] (numeric) = 1.1845363710054707843743136788948 absolute error = 1.088728121832518220717051e-07 relative error = 9.1911759617418058084026562309888e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1857 y2[1] (analytic) = 1.1846345437803923086351423635817 y2[1] (numeric) = 1.1846345437804086897838556910634 absolute error = 1.63811487133274817e-14 relative error = 1.3828018775353406357703905961671e-12 % h = 0.0001 y1[1] (analytic) = 1.1846345437803923086351423635817 y1[1] (numeric) = 1.184634652907100330457801542442 absolute error = 1.091267080218226591788603e-07 relative error = 9.2118458468701028504923668397331e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2548.2MB, alloc=4.6MB, time=300.61 NO POLE NO POLE x[1] = 0.1858 y2[1] (analytic) = 1.1847328235817805798824912312794 y2[1] (numeric) = 1.184732823581797076042129849574 absolute error = 1.64961596386182946e-14 relative error = 1.3923949189443206104463088552807e-12 % h = 0.0001 y1[1] (analytic) = 1.1847328235817805798824912312794 y1[1] (numeric) = 1.1847329329626781931752753589076 absolute error = 1.093808976132927841276282e-07 relative error = 9.2325371118361997285966431986668e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2552.0MB, alloc=4.6MB, time=300.82 NO POLE NO POLE x[1] = 0.1859 y2[1] (analytic) = 1.1848311015358406168514744961538 y2[1] (numeric) = 1.1848311015358572286940645421671 absolute error = 1.66118425900460133e-14 relative error = 1.4020430902356349402376042580162e-12 % h = 0.0001 y1[1] (analytic) = 1.1848311015358406168514744961538 y1[1] (numeric) = 1.1848312111712215664328014491288 absolute error = 1.096353809495813269529750e-07 relative error = 9.2532497507422078051773243781312e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2555.9MB, alloc=4.6MB, time=301.03 NO POLE NO POLE x[1] = 0.186 y2[1] (analytic) = 1.1849293776415896400023107714653 y2[1] (numeric) = 1.1849293776416063682030153316145 absolute error = 1.67282007045601492e-14 relative error = 1.4117466424754299090009969361922e-12 % h = 0.0001 y1[1] (analytic) = 1.1849293776415896400023107714653 y1[1] (numeric) = 1.1849294875317476626038426102595 absolute error = 1.098901580226015318387942e-07 relative error = 9.2739837576919668887528591300308e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1861 y2[1] (analytic) = 1.1850276518980448882783287932534 y2[1] (numeric) = 1.1850276518980617335154588670099 absolute error = 1.68452371300737565e-14 relative error = 1.4215058275722881067952828837733e-12 % h = 0.0001 y1[1] (analytic) = 1.1850276518980448882783287932534 y1[1] (numeric) = 1.1850277620432737125390860474379 absolute error = 1.101452288242607572541845e-07 relative error = 9.2947391267910446122773003690861e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2559.7MB, alloc=4.6MB, time=301.24 NO POLE NO POLE x[1] = 0.1862 y2[1] (analytic) = 1.1851259243042236191157950308945 y2[1] (numeric) = 1.185125924304240582070820519805 absolute error = 1.69629550254889105e-14 relative error = 1.4313208982790333647359162403422e-12 % h = 0.0001 y1[1] (analytic) = 1.1851259243042236191157950308945 y1[1] (numeric) = 1.1851260347048169655762711207112 absolute error = 1.104005933464604760898167e-07 relative error = 9.3155158521467358117727164547352e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2563.5MB, alloc=4.6MB, time=301.45 NO POLE NO POLE x[1] = 0.1863 y2[1] (analytic) = 1.185224194859143108453741112732 y2[1] (numeric) = 1.1852241948591601898113018349459 absolute error = 1.70813575607222139e-14 relative error = 1.4411921081945371782435492109348e-12 % h = 0.0001 y1[1] (analytic) = 1.185224194859143108453741112732 y1[1] (numeric) = 1.1852243055153946895500169071194 absolute error = 1.106562515810962757943874e-07 relative error = 9.3363139278680619052147158669723e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2567.3MB, alloc=4.6MB, time=301.67 NO POLE NO POLE x[1] = 0.1864 y2[1] (analytic) = 1.1853224635618206507437910666771 y2[1] (numeric) = 1.1853224635618378511917077970109 absolute error = 1.72004479167303338e-14 relative error = 1.4511197117655268456924106918493e-12 % h = 0.0001 y1[1] (analytic) = 1.1853224635618206507437910666771 y1[1] (numeric) = 1.1853225744740241708016495778396 absolute error = 1.109122035200578585111625e-07 relative error = 9.3571333480657702716712207530495e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2571.1MB, alloc=4.6MB, time=301.88 NO POLE NO POLE x[1] = 0.1865 y2[1] (analytic) = 1.1854207304112735589599883756847 y2[1] (numeric) = 1.185420730411290879189273911252 absolute error = 1.73202292855355673e-14 relative error = 1.4611039642883951443944834417323e-12 % h = 0.0001 y1[1] (analytic) = 1.1854207304112735589599883756847 y1[1] (numeric) = 1.1854208415797227141890295902933 absolute error = 1.111684491552290412146086e-07 relative error = 9.3779741068523336306942113599203e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1866 y2[1] (analytic) = 1.1855189954065191646086228480046 y2[1] (numeric) = 1.1855189954065366053134930994414 absolute error = 1.74407048702514368e-14 relative error = 1.4711451219110116358976474547800e-12 % h = 0.0001 y1[1] (analytic) = 1.1855189954065191646086228480046 y1[1] (numeric) = 1.1855191068315076430963786951168 absolute error = 1.114249884784877558471122e-07 relative error = 9.3988361983419494219643153671183e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2574.9MB, alloc=4.6MB, time=302.09 NO POLE NO POLE x[1] = 0.1867 y2[1] (analytic) = 1.1856172585465748177380573021106 y2[1] (numeric) = 1.1856172585465923796159424104251 absolute error = 1.75618778851083145e-14 relative error = 1.4812434416345355575643206506382e-12 % h = 0.0001 y1[1] (analytic) = 1.1856172585465748177380573021106 y1[1] (numeric) = 1.1856173702283962994441067578986 absolute error = 1.116818214817060494557880e-07 relative error = 9.4197196166505391851882342834462e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2578.7MB, alloc=4.6MB, time=302.30 NO POLE NO POLE x[1] = 0.1868 y2[1] (analytic) = 1.1857155198304578869485540662085 y2[1] (numeric) = 1.1857155198304755707001095452849 absolute error = 1.76837515554790764e-14 relative error = 1.4913991813152303248956214150787e-12 % h = 0.0001 y1[1] (analytic) = 1.1857155198304578869485540662085 y1[1] (numeric) = 1.1857156317694060436986383955835 absolute error = 1.119389481567500843293750e-07 relative error = 9.4406243558957479402487797824127e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2582.6MB, alloc=4.6MB, time=302.51 NO POLE NO POLE x[1] = 0.1869 y2[1] (analytic) = 1.1858137792571857594021012922256 y2[1] (numeric) = 1.1858137792572035657312191970109 absolute error = 1.78063291179047853e-14 relative error = 1.5016125996662796015857936553897e-12 % h = 0.0001 y1[1] (analytic) = 1.1858137792571857594021012922256 y1[1] (numeric) = 1.1858138914535542548822394274466 absolute error = 1.121963684954801381352210e-07 relative error = 9.4615504101969435676074532126742e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.187 y2[1] (analytic) = 1.185912036825775840832239084182 y2[1] (numeric) = 1.185912036825793770446059204586 absolute error = 1.79296138201204040e-14 relative error = 1.5118839562596050376698870714581e-12 % h = 0.0001 y1[1] (analytic) = 1.185912036825775840832239084182 y1[1] (numeric) = 1.185912149279858330582843140538 absolute error = 1.124540824897506040563560e-07 relative error = 9.4824977736752161889594931149337e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2586.4MB, alloc=4.6MB, time=302.72 NO POLE NO POLE x[1] = 0.1871 y2[1] (analytic) = 1.1860102925352455555538854408477 y2[1] (numeric) = 1.1860102925352636091628065213847 absolute error = 1.80536089210805370e-14 relative error = 1.5222135115276855315440493309871e-12 % h = 0.0001 y1[1] (analytic) = 1.1860102925352455555538854408477 y1[1] (numeric) = 1.1860104052473356869638763695007 absolute error = 1.127120901314099909286530e-07 relative error = 9.5034664404533775481411469772210e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2590.2MB, alloc=4.6MB, time=302.93 NO POLE NO POLE x[1] = 0.1872 y2[1] (analytic) = 1.1861085463846123464731620125849 y2[1] (numeric) = 1.1861085463846305247908529977866 absolute error = 1.81783176909852017e-14 relative error = 1.5326015267653780993686705253111e-12 % h = 0.0001 y1[1] (analytic) = 1.1861085463846123464731620125849 y1[1] (numeric) = 1.1861086593550037587740853906625 absolute error = 1.129703914123009233780776e-07 relative error = 9.5244564046559603922891681023555e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2594.0MB, alloc=4.6MB, time=303.14 NO POLE NO POLE x[1] = 0.1873 y2[1] (analytic) = 1.1862067983728936750972196722786 y2[1] (numeric) = 1.1862067983729119788406309779083 absolute error = 1.83037434113056297e-14 relative error = 1.5430482641317404015885010894675e-12 % h = 0.0001 y1[1] (analytic) = 1.1862067983728936750972196722786 y1[1] (numeric) = 1.1862069116018799993573616303049 absolute error = 1.132289863242601419580263e-07 relative error = 9.5454676604092178532524119905896e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2597.8MB, alloc=4.6MB, time=303.35 NO POLE NO POLE x[1] = 0.1874 y2[1] (analytic) = 1.186305048499107021544063900257 y2[1] (numeric) = 1.1863050484991254514334387103535 absolute error = 1.84298893748100965e-14 relative error = 1.5535539866518547823917599600387e-12 % h = 0.0001 y1[1] (analytic) = 1.186305048499107021544063900257 y1[1] (numeric) = 1.1863051619869818806625671870093 absolute error = 1.134878748591185032867523e-07 relative error = 9.5665002018411228292553139820848e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1875 y2[1] (analytic) = 1.1864032967622698845523799831032 y2[1] (numeric) = 1.1864032967622884413112655728842 absolute error = 1.85567588855897810e-14 relative error = 1.5641189582186539393198700379591e-12 % h = 0.0001 y1[1] (analytic) = 1.1864032967622698845523799831032 y1[1] (numeric) = 1.1864034105093268932533601679833 absolute error = 1.137470570087009801848801e-07 relative error = 9.5875540230813673668132407527189e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2601.6MB, alloc=4.6MB, time=303.56 NO POLE NO POLE x[1] = 0.1876 y2[1] (analytic) = 1.18650154316139978149135802626 y2[1] (numeric) = 1.1865015431614184658466171109149 absolute error = 1.86843552590846549e-14 relative error = 1.5747434435947482305961560410049e-12 % h = 0.0001 y1[1] (analytic) = 1.18650154316139978149135802626 y1[1] (numeric) = 1.1865016571679325463180198392687 absolute error = 1.140065327648266618130087e-07 relative error = 9.6086291182613620428995818228793e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2605.4MB, alloc=4.6MB, time=303.77 NO POLE NO POLE x[1] = 0.1877 y2[1] (analytic) = 1.1865997876955142483705177803302 y2[1] (numeric) = 1.1865997876955330610523398897302 absolute error = 1.88126818221094000e-14 relative error = 1.5854277084142544507607158265931e-12 % h = 0.0001 y1[1] (analytic) = 1.1865997876955142483705177803302 y1[1] (numeric) = 1.1865999019618163676792715897324 absolute error = 1.142663021193087538094022e-07 relative error = 9.6297254815142353473643630364844e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2609.3MB, alloc=4.6MB, time=303.98 NO POLE NO POLE x[1] = 0.1878 y2[1] (analytic) = 1.1866980303636308398495332809728 y2[1] (numeric) = 1.1866980303636497815914461603294 absolute error = 1.89417419128793566e-14 relative error = 1.5961720191846263435016985528796e-12 % h = 0.0001 y1[1] (analytic) = 1.1866980303636308398495332809728 y1[1] (numeric) = 1.1866981448899959038041117087426 absolute error = 1.145263650639545784277698e-07 relative error = 9.6508431069748330656044337510590e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1879 y2[1] (analytic) = 1.1867962711647671292480573022984 y2[1] (numeric) = 1.1867962711647862007869383387983 absolute error = 1.90715388810364999e-14 relative error = 1.6069766432884865895544060526404e-12 % h = 0.0001 y1[1] (analytic) = 1.1867962711647671292480573022984 y1[1] (numeric) = 1.1867963859514887198136319774316 absolute error = 1.147867215905655746751332e-07 relative error = 9.6719819887797176614849423869408e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2613.1MB, alloc=4.6MB, time=304.18 NO POLE NO POLE x[1] = 0.188 y2[1] (analytic) = 1.1868945100979407085555456236643 y2[1] (numeric) = 1.1868945100979599106316332991109 absolute error = 1.92020760876754466e-14 relative error = 1.6178418489854604542568403677419e-12 % h = 0.0001 y1[1] (analytic) = 1.1868945100979407085555456236643 y1[1] (numeric) = 1.1868946251453123994928440734471 absolute error = 1.150473716909372984497828e-07 relative error = 9.6931421210671676605121016179102e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2616.9MB, alloc=4.6MB, time=304.40 NO POLE NO POLE x[1] = 0.1881 y2[1] (analytic) = 1.1869927471621691884410811097717 y2[1] (numeric) = 1.1869927471621885217979864792623 absolute error = 1.93333569053694906e-14 relative error = 1.6287679054140110012147616575364e-12 % h = 0.0001 y1[1] (analytic) = 1.1869927471621691884410811097717 y1[1] (numeric) = 1.186992862470484545300503789094 absolute error = 1.153083153568594226793223e-07 relative error = 9.7143234979771770332570928243552e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2620.7MB, alloc=4.6MB, time=304.61 NO POLE NO POLE x[1] = 0.1882 y2[1] (analytic) = 1.187090982356470198263197603967 y2[1] (numeric) = 1.1870909823564896636479158006345 absolute error = 1.94653847181966675e-14 relative error = 1.6397550825932758459830410849524e-12 % h = 0.0001 y1[1] (analytic) = 1.187090982356470198263197603967 y1[1] (numeric) = 1.1870910979260227783789350627679 absolute error = 1.155695525801157374588009e-07 relative error = 9.7355261136514545790309258172375e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2624.5MB, alloc=4.6MB, time=304.82 NO POLE NO POLE x[1] = 0.1883 y2[1] (analytic) = 1.1871892156798613860797036346478 y2[1] (numeric) = 1.1871892156798809842426254004975 absolute error = 1.95981629217658497e-14 relative error = 1.6508036514249056005759180960592e-12 % h = 0.0001 y1[1] (analytic) = 1.1871892156798613860797036346478 y1[1] (numeric) = 1.1871893315109447385638538235827 absolute error = 1.158310833524841501889349e-07 relative error = 9.7567499622334233098102889510564e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1884 y2[1] (analytic) = 1.1872874471313604186575059346772 y2[1] (numeric) = 1.1872874471313801503524291775466 absolute error = 1.97316949232428694e-14 relative error = 1.6619138836949037805038932694716e-12 % h = 0.0001 y1[1] (analytic) = 1.1872874471313604186575059346772 y1[1] (numeric) = 1.1872875632242680843941916490936 absolute error = 1.160929076657366857144164e-07 relative error = 9.7779950378682198344140793792061e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2628.3MB, alloc=4.6MB, time=305.02 NO POLE NO POLE x[1] = 0.1885 y2[1] (analytic) = 1.1873856767099849814824327737059 y2[1] (numeric) = 1.1873856767100048474665741503783 absolute error = 1.98659841413766724e-14 relative error = 1.6730860520754684178105934975615e-12 % h = 0.0001 y1[1] (analytic) = 1.1873856767099849814824327737059 y1[1] (numeric) = 1.1873857930650104931219192360173 absolute error = 1.163550255116394864623114e-07 relative error = 9.7992613347026937429306907996648e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2632.2MB, alloc=4.6MB, time=305.23 NO POLE NO POLE x[1] = 0.1886 y2[1] (analytic) = 1.1874839044147527787690571033064 y2[1] (numeric) = 1.1874839044147727798030636288062 absolute error = 2.00010340065254998e-14 relative error = 1.6843204301268351349943027475175e-12 % h = 0.0001 y1[1] (analytic) = 1.1874839044147527787690571033064 y1[1] (numeric) = 1.1874840210321896607218696838517 absolute error = 1.166174368819528125805453e-07 relative error = 9.8205488468854069913957738610268e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2636.0MB, alloc=4.6MB, time=305.44 NO POLE NO POLE x[1] = 0.1887 y2[1] (analytic) = 1.1875821302446815334705195148184 y2[1] (numeric) = 1.1875821302447016703184801979189 absolute error = 2.01368479606831005e-14 relative error = 1.6956172922991219232484752255201e-12 % h = 0.0001 y1[1] (analytic) = 1.1875821302446815334705195148184 y1[1] (numeric) = 1.1875822471248233019015615912957 absolute error = 1.168801417684310420764773e-07 relative error = 9.8418575685666332867204792873421e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1888 y2[1] (analytic) = 1.1876803541987889872883510098098 y2[1] (numeric) = 1.1876803541988092607178085147816 memory used=2639.8MB, alloc=4.6MB, time=305.64 absolute error = 2.02734294575049718e-14 relative error = 1.7069769139341753967872997007892e-12 % h = 0.0001 y1[1] (analytic) = 1.1876803541987889872883510098098 y1[1] (numeric) = 1.1876804713419291501110219653725 absolute error = 1.171431401628226709555627e-07 relative error = 9.8631874938983574718699832626802e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1889 y2[1] (analytic) = 1.187778576276092900682295583053 y2[1] (numeric) = 1.1877785762761133114642579176829 absolute error = 2.04107819623346299e-14 relative error = 1.7183995712674186740320236802928e-12 % h = 0.0001 y1[1] (analytic) = 1.187778576276092900682295583053 y1[1] (numeric) = 1.1877786936825249575526089431567 absolute error = 1.174064320568703133601037e-07 relative error = 9.8845386170342749112922294377406e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2643.6MB, alloc=4.6MB, time=305.85 NO POLE NO POLE x[1] = 0.189 y2[1] (analytic) = 1.187876796475611052880132617919 y2[1] (numeric) = 1.1878767964756316017890848478292 absolute error = 2.05489089522299102e-14 relative error = 1.7298855414297008763849123052139e-12 % h = 0.0001 y1[1] (analytic) = 1.187876796475611052880132617919 y1[1] (numeric) = 1.1878769141456284951908343260076 absolute error = 1.176700174423107017080886e-07 relative error = 9.9059109321297908765967630190783e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2647.4MB, alloc=4.6MB, time=306.07 NO POLE NO POLE x[1] = 0.1891 y2[1] (analytic) = 1.1879750147963612418874990940919 y2[1] (numeric) = 1.187975014796381929701415083388 absolute error = 2.06878139159892961e-14 relative error = 1.7414351024491481343117812211185e-12 % h = 0.0001 y1[1] (analytic) = 1.1879750147963612418874990940919 y1[1] (numeric) = 1.1879751327302575527621859262108 absolute error = 1.179338963108746868321189e-07 relative error = 9.9273044333420199324834987966802e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2651.2MB, alloc=4.6MB, time=306.29 NO POLE NO POLE x[1] = 0.1892 y2[1] (analytic) = 1.1880732312373612844977116075041 y2[1] (numeric) = 1.1880732312373821119980657857815 absolute error = 2.08275003541782774e-14 relative error = 1.7530485332530161925348815271380e-12 % h = 0.0001 y1[1] (analytic) = 1.1880732312373612844977116075041 y1[1] (numeric) = 1.1880733494354299387849497259289 absolute error = 1.181980686542872381184248e-07 relative error = 9.9487191148297853229213492236813e-06 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1893 y2[1] (analytic) = 1.1881714457976290163015882023946 y2[1] (numeric) = 1.1881714457976499842733673581336 absolute error = 2.09679717791557390e-14 relative error = 1.7647261136695446724121840492770e-12 % h = 0.0001 y1[1] (analytic) = 1.1881714457976290163015882023946 y1[1] (numeric) = 1.1881715642601634805690318483644 absolute error = 1.184625344642674436459698e-07 relative error = 9.9701549707536183575766555269988e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2655.0MB, alloc=4.6MB, time=306.50 NO POLE NO POLE x[1] = 0.1894 y2[1] (analytic) = 1.1882696584761822916972700153936 y2[1] (numeric) = 1.1882696584762034009289851157704 absolute error = 2.11092317151003768e-14 relative error = 1.7764681244298127297481332719346e-12 % h = 0.0001 y1[1] (analytic) = 1.1882696584761822916972700153936 y1[1] (numeric) = 1.1882697772034760242257803410352 absolute error = 1.187272937325285103256416e-07 relative error = 9.9916119952757577984910703030007e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2658.9MB, alloc=4.6MB, time=306.71 NO POLE NO POLE x[1] = 0.1895 y2[1] (analytic) = 1.1883678692720389839000427315317 y2[1] (numeric) = 1.1883678692720602351837407686774 absolute error = 2.12512836980371457e-14 relative error = 1.7882748471695965196463745487712e-12 % h = 0.0001 y1[1] (analytic) = 1.1883678692720389839000427315317 y1[1] (numeric) = 1.1883679882643854346778067710657 absolute error = 1.189923464507777640395340e-07 relative error = 1.0013090182560149247009171386079e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2662.7MB, alloc=4.6MB, time=306.92 NO POLE NO POLE x[1] = 0.1896 y2[1] (analytic) = 1.1884660781842169849521578520798 y2[1] (numeric) = 1.1884660781842383790834337158143 absolute error = 2.13941312758637345e-14 relative error = 1.8001465644312280299080558281584e-12 % h = 0.0001 y1[1] (analytic) = 1.1884660781842169849521578520798 y1[1] (numeric) = 1.1884661974419095956688076323943 absolute error = 1.192576926107166497803145e-07 relative error = 1.0034589526772444530955245155837e-05 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2666.5MB, alloc=4.6MB, time=307.12 x[1] = 0.1897 y2[1] (analytic) = 1.1885642852117342057326537741179 y2[1] (numeric) = 1.1885642852117557435106621511896 absolute error = 2.15377780083770717e-14 relative error = 1.8120835596654556188124353993878e-12 % h = 0.0001 y1[1] (analytic) = 1.1885642852117342057326537741179 y1[1] (numeric) = 1.1885644047350664097733855647997 absolute error = 1.195233322040407317906818e-07 relative error = 1.0056110022080001092059477087310e-05 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1898 y2[1] (analytic) = 1.1886624903536085759671766817368 y2[1] (numeric) = 1.1886624903536302581946439815966 absolute error = 2.16822274672998598e-14 relative error = 1.8240861172333060544744153115074e-12 % h = 0.0001 y1[1] (analytic) = 1.1886624903536085759671766817368 y1[1] (numeric) = 1.1886626101428737984068703846476 absolute error = 1.197892652224396937029108e-07 relative error = 1.0077651662651881373633231929122e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2670.3MB, alloc=4.6MB, time=307.34 NO POLE NO POLE x[1] = 0.1899 y2[1] (analytic) = 1.1887606936088580442378012487733 y2[1] (numeric) = 1.1887606936088798717210375559128 absolute error = 2.18274832363071395e-14 relative error = 1.8361545224079481727684469014534e-12 % h = 0.0001 y1[1] (analytic) = 1.1887606936088580442378012487733 y1[1] (numeric) = 1.1887608136643497018351399272598 absolute error = 1.200554916575973386784865e-07 relative error = 1.0099214442658852208493425748691e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2674.1MB, alloc=4.6MB, time=307.55 NO POLE NO POLE x[1] = 0.19 y2[1] (analytic) = 1.1888588949765005779928511529813 y2[1] (numeric) = 1.1888588949765225515417622058642 absolute error = 2.19735489110528829e-14 relative error = 1.8482890613765580772682739400384e-12 % h = 0.0001 y1[1] (analytic) = 1.1888588949765005779928511529813 y1[1] (numeric) = 1.1888590152985120791844407008067 absolute error = 1.203220115011915895478254e-07 relative error = 1.0120798356273384207135756545782e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2677.9MB, alloc=4.6MB, time=307.76 NO POLE NO POLE x[1] = 0.1901 y2[1] (analytic) = 1.1889570944555541635567194015403 y2[1] (numeric) = 1.1889570944555762839848185981565 absolute error = 2.21204280991966162e-14 relative error = 1.8604900212421859224529702672424e-12 % h = 0.0001 y1[1] (analytic) = 1.1889570944555541635567194015403 y1[1] (numeric) = 1.1889572150443789084512083516261 absolute error = 1.205888247448944889500858e-07 relative error = 1.0142403397669651146156795774061e-05 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1902 y2[1] (analytic) = 1.1890552920450368061396884678036 y2[1] (numeric) = 1.1890552920450590742641088978751 absolute error = 2.22681244204300715e-14 relative error = 1.8727576900256242457122886876903e-12 % h = 0.0001 y1[1] (analytic) = 1.1890552920450368061396884678036 y1[1] (numeric) = 1.1890554129009681865118879408696 absolute error = 1.208559313803721994730660e-07 relative error = 1.0164029561023529356924741251500e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2681.7MB, alloc=4.6MB, time=307.97 NO POLE NO POLE x[1] = 0.1903 y2[1] (analytic) = 1.1891534877439665298477502391867 y2[1] (numeric) = 1.1891534877439889464892567430553 absolute error = 2.24166415065038686e-14 relative error = 1.8850923566672779230287265175150e-12 % h = 0.0001 y1[1] (analytic) = 1.1891534877439665298477502391867 y1[1] (numeric) = 1.1891536088672979291327540323779 absolute error = 1.211233313992850037931912e-07 relative error = 1.0185676840512597114498783424185e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2685.6MB, alloc=4.6MB, time=308.18 NO POLE NO POLE x[1] = 0.1904 y2[1] (analytic) = 1.1892516815513613776924257761 y2[1] (numeric) = 1.1892516815513839436754270303249 absolute error = 2.25659830012542249e-14 relative error = 1.8974943110290355877222347860712e-12 % h = 0.0001 y1[1] (analytic) = 1.1892516815513613776924257761 y1[1] (numeric) = 1.1892518029423861709797305916877 absolute error = 1.213910247932873048155877e-07 relative error = 1.0207345230316134026796851973209e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2689.4MB, alloc=4.6MB, time=308.39 NO POLE NO POLE x[1] = 0.1905 y2[1] (analytic) = 1.1893498734662394116005848818247 y2[1] (numeric) = 1.1893498734662621277531455115208 absolute error = 2.27161525606296961e-14 relative error = 1.9099638438961427385156588442724e-12 % h = 0.0001 y1[1] (analytic) = 1.1893498734662394116005848818247 y1[1] (numeric) = 1.1893499951252509656282106960713 absolute error = 1.216590115540276258142466e-07 relative error = 1.0229034724615120424011812578342e-05 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2693.2MB, alloc=4.6MB, time=308.61 x[1] = 0.1906 y2[1] (analytic) = 1.1894480634876187124242654832362 y2[1] (numeric) = 1.1894480634876415795781182011814 absolute error = 2.28671538527179452e-14 relative error = 1.9225012469790763258521679483087e-12 % h = 0.0001 y1[1] (analytic) = 1.1894480634876187124242654832362 y1[1] (numeric) = 1.1894481854149103855728760555112 absolute error = 1.219272916731486105722750e-07 relative error = 1.0250745317592236748275830484838e-05 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1907 y2[1] (analytic) = 1.1895462516145173799504928222757 y2[1] (numeric) = 1.1895462516145403989410505948169 absolute error = 2.30189905577725412e-14 relative error = 1.9351068129154209333915735600242e-12 % h = 0.0001 y1[1] (analytic) = 1.1895462516145173799504928222757 y1[1] (numeric) = 1.1895463738103825222375163445111 absolute error = 1.221958651422870235222354e-07 relative error = 1.0272477003431862943572844667873e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2697.0MB, alloc=4.6MB, time=308.82 NO POLE NO POLE x[1] = 0.1908 y2[1] (analytic) = 1.1896444378459535329110984580713 y2[1] (numeric) = 1.1896444378459767045774666978586 absolute error = 2.31716663682397873e-14 relative error = 1.9477808352717465370414166207748e-12 % h = 0.0001 y1[1] (analytic) = 1.1896444378459535329110984580713 y1[1] (numeric) = 1.1896445603106854859848483446452 absolute error = 1.224647319530737498865739e-07 relative error = 1.0294229776320077845899088004149e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2700.8MB, alloc=4.6MB, time=309.03 NO POLE NO POLE x[1] = 0.1909 y2[1] (analytic) = 1.1897426221809453089925390796121 y2[1] (numeric) = 1.18974262218096863417752786519 absolute error = 2.33251849887855779e-14 relative error = 1.9605236085454877818646132216290e-12 % h = 0.0001 y1[1] (analytic) = 1.1897426221809453089925390796121 y1[1] (numeric) = 1.189742744914837406126334897748 absolute error = 1.227338920971337958181359e-07 relative error = 1.0316003630444658573671429188149e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2704.6MB, alloc=4.6MB, time=309.24 NO POLE NO POLE x[1] = 0.191 y2[1] (analytic) = 1.189840804618510864845715128875 y2[1] (numeric) = 1.1898408046185343443958514511606 absolute error = 2.34795501363222856e-14 relative error = 1.9733354281668248769302145930503e-12 % h = 0.0001 y1[1] (analytic) = 1.189840804618510864845715128875 y1[1] (numeric) = 1.1898409276218564309320036696459 absolute error = 1.230033455660862885407709e-07 relative error = 1.0337798559995079918383555992488e-05 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1911 y2[1] (analytic) = 1.1899389851576683760957892343077 y2[1] (numeric) = 1.1899389851576920108613292699848 absolute error = 2.36347655400356771e-14 relative error = 1.9862165905005660148207183606050e-12 % h = 0.0001 y1[1] (analytic) = 1.1899389851576683760957892343077 y1[1] (numeric) = 1.1899391084307607276402657243325 absolute error = 1.232730923515444764900248e-07 relative error = 1.0359614559162513735509750521284e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2708.4MB, alloc=4.6MB, time=309.45 NO POLE NO POLE x[1] = 0.1912 y2[1] (analytic) = 1.1900371637974360373520044545688 y2[1] (numeric) = 1.1900371637974598281869458664273 absolute error = 2.37908349414118585e-14 relative error = 1.9991673928480313570206781043984e-12 % h = 0.0001 y1[1] (analytic) = 1.1900371637974360373520044545688 y1[1] (numeric) = 1.1900372873405684824677339084896 absolute error = 1.235431324451157294539208e-07 relative error = 1.0381451622139828335656234137513e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2712.3MB, alloc=4.6MB, time=309.65 NO POLE NO POLE x[1] = 0.1913 y2[1] (analytic) = 1.1901353405368320622175023324273 y2[1] (numeric) = 1.1901353405368560099795965966774 absolute error = 2.39477620942642501e-14 relative error = 2.0121881334489385927746835172727e-12 % h = 0.0001 y1[1] (analytic) = 1.1901353405368320622175023324273 y1[1] (numeric) = 1.190135464350297900619041046256 absolute error = 1.238134658384015387138287e-07 relative error = 1.0403309743121587875959950512638e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2716.1MB, alloc=4.6MB, time=309.87 NO POLE NO POLE x[1] = 0.1914 y2[1] (analytic) = 1.1902335153748746832991407587228 y2[1] (numeric) = 1.1902335153748987888499055193132 absolute error = 2.41055507647605904e-14 relative error = 2.0252791114832900453910814756400e-12 % h = 0.0001 y1[1] (analytic) = 1.1902335153748746832991407587228 y1[1] (numeric) = 1.1902336394589672062966579441448 absolute error = 1.240840925229975171854220e-07 relative error = 1.0425188916304051751734621710515e-05 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2719.9MB, alloc=4.6MB, time=310.08 x[1] = 0.1915 y2[1] (analytic) = 1.1903316883105821522173116462892 y2[1] (numeric) = 1.1903316883106064164220430962582 absolute error = 2.42642047314499690e-14 relative error = 2.0384406270732612999851350300776e-12 % h = 0.0001 y1[1] (analytic) = 1.1903316883105821522173116462892 y1[1] (numeric) = 1.1903318126655946427107112060124 absolute error = 1.243550124904933995597232e-07 relative error = 1.0447089135885173988363996320621e-05 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1916 y2[1] (analytic) = 1.1904298593429727396157584137418 y2[1] (numeric) = 1.190429859342997163343543703632 absolute error = 2.44237277852898902e-14 relative error = 2.0516729812850915030794951917030e-12 % h = 0.0001 y1[1] (analytic) = 1.1904298593429727396157584137418 y1[1] (numeric) = 1.1904299839691984720888008579804 absolute error = 1.246262257324730424442386e-07 relative error = 1.0469010396064602633442284295840e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2723.7MB, alloc=4.6MB, time=310.28 NO POLE NO POLE x[1] = 0.1917 y2[1] (analytic) = 1.1905280284710647351713932790328 y2[1] (numeric) = 1.1905280284710893192951229523967 absolute error = 2.45841237296733639e-14 relative error = 2.0649764761309750475998078094312e-12 % h = 0.0001 y1[1] (analytic) = 1.1905280284710647351713932790328 y1[1] (numeric) = 1.1905281533687969756858177832117 absolute error = 1.248977322405144245041789e-07 relative error = 1.0490952691043679149161353155710e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2727.5MB, alloc=4.6MB, time=310.50 NO POLE NO POLE x[1] = 0.1918 y2[1] (analytic) = 1.1906261956938764476041143626727 y2[1] (numeric) = 1.1906261956939011930004948187006 absolute error = 2.47453963804560279e-14 relative error = 2.0783514145709549869130166282461e-12 % h = 0.0001 y1[1] (analytic) = 1.1906261956938764476041143626727 y1[1] (numeric) = 1.1906263208634084537937609664436 absolute error = 1.251695320061896466037709e-07 relative error = 1.0512916015025437804945016385295e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2731.3MB, alloc=4.6MB, time=310.71 NO POLE NO POLE x[1] = 0.1919 y2[1] (analytic) = 1.1907243610104262046866226005243 y2[1] (numeric) = 1.190724361010451112236188583822 absolute error = 2.49075495659832977e-14 relative error = 2.0917981005148178494694828474508e-12 % h = 0.0001 y1[1] (analytic) = 1.1907243610104262046866226005243 y1[1] (numeric) = 1.1907244864520512257515545481792 absolute error = 1.254416250210649319476549e-07 relative error = 1.0534900362214605070329846012774e-05 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.192 y2[1] (analytic) = 1.1908225244197323532542384660668 y2[1] (numeric) = 1.190822524419757423841365583614 absolute error = 2.50705871271175472e-14 relative error = 2.1053168388239901388484589517935e-12 % h = 0.0001 y1[1] (analytic) = 1.1908225244197323532542384660668 y1[1] (numeric) = 1.1908226501337436299548646884387 absolute error = 1.257140112767006262223719e-07 relative error = 1.0556905726817599008092739475362e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2735.1MB, alloc=4.6MB, time=310.92 NO POLE NO POLE x[1] = 0.1921 y2[1] (analytic) = 1.1909206859208132592147185020346 y2[1] (numeric) = 1.1909206859208384937276357673523 absolute error = 2.52345129172653177e-14 relative error = 2.1189079353134363000069184257069e-12 % h = 0.0001 y1[1] (analytic) = 1.1909206859208132592147185020346 y1[1] (numeric) = 1.1909208119075040238659162399733 absolute error = 1.259866907646511977379387e-07 relative error = 1.0578932103042528667624966903377e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2739.0MB, alloc=4.6MB, time=311.15 NO POLE NO POLE x[1] = 0.1922 y2[1] (analytic) = 1.1910188455126873075580716613316 y2[1] (numeric) = 1.1910188455127127068888740658879 absolute error = 2.53993308024045563e-14 relative error = 2.1325716967535582433348229278782e-12 % h = 0.0001 y1[1] (analytic) = 1.1910188455126873075580716613316 y1[1] (numeric) = 1.1910189717723507840233092308424 absolute error = 1.262596634764652375695108e-07 relative error = 1.0600979485099193478552576247958e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2742.8MB, alloc=4.6MB, time=311.36 NO POLE NO POLE x[1] = 0.1923 y2[1] (analytic) = 1.191117003194372902366375457123 y2[1] (numeric) = 1.1911170031943984674110365690072 absolute error = 2.55650446611118842e-14 relative error = 2.1463084308720964676867848273542e-12 % h = 0.0001 y1[1] (analytic) = 1.191117003194372902366375457123 y1[1] (numeric) = 1.1911171297273023060518351562568 absolute error = 1.265329294036854596991338e-07 relative error = 1.0623047867199082644603100906491e-05 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2746.6MB, alloc=4.6MB, time=311.57 x[1] = 0.1924 y2[1] (analytic) = 1.1912151589648884668235919220063 y2[1] (numeric) = 1.1912151589649141984819765119 absolute error = 2.57316583845898937e-14 relative error = 2.1601184463560326808216859793858e-12 % h = 0.0001 y1[1] (analytic) = 1.1912151589648884668235919220063 y1[1] (numeric) = 1.1912152857713770046722930795892 absolute error = 1.268064885378487011575829e-07 relative error = 1.0645137243555374537718422177604e-05 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1925 y2[1] (analytic) = 1.1913133128232524432253833761632 y2[1] (numeric) = 1.1913133128232783424012600706384 absolute error = 2.58991758766944752e-14 relative error = 2.1740020528534940256013541464396e-12 % h = 0.0001 y1[1] (analytic) = 1.1913133128232524432253833761632 y1[1] (numeric) = 1.1913134399035933137113055424546 absolute error = 1.270803408704859221662914e-07 relative error = 1.0667247608382936092413748082135e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2750.4MB, alloc=4.6MB, time=311.78 NO POLE NO POLE x[1] = 0.1926 y2[1] (analytic) = 1.1914114647684832929889280043953 y2[1] (numeric) = 1.1914114647685093605899819665679 absolute error = 2.60676010539621726e-14 relative error = 2.1879595609756587768193713880429e-12 % h = 0.0001 y1[1] (analytic) = 1.1914114647684832929889280043953 y1[1] (numeric) = 1.1914115921229696861111342837612 absolute error = 1.273544863931222062793659e-07 relative error = 1.0689378955898322200382401506833e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2754.2MB, alloc=4.6MB, time=312.01 NO POLE NO POLE x[1] = 0.1927 y2[1] (analytic) = 1.1915096147995994966627352419438 y2[1] (numeric) = 1.1915096147996257336005808795127 absolute error = 2.62369378456375689e-14 relative error = 2.2019912822986636589725893655942e-12 % h = 0.0001 y1[1] (analytic) = 1.1915096147995994966627352419438 y1[1] (numeric) = 1.1915097424285245939394957676348 absolute error = 1.276289250972767605256910e-07 relative error = 1.0711531280319775105346538842346e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2758.0MB, alloc=4.6MB, time=312.22 NO POLE NO POLE x[1] = 0.1928 y2[1] (analytic) = 1.1916077629156195539364609689962 y2[1] (numeric) = 1.1916077629156459611266546696968 absolute error = 2.64071901937007006e-14 relative error = 2.2160975293655126666442913610457e-12 % h = 0.0001 y1[1] (analytic) = 1.1916077629156195539364609689962 y1[1] (numeric) = 1.191607890819276528399376520118 absolute error = 1.279036569744629155511218e-07 relative error = 1.0733704575867223798153542550143e-05 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1929 y2[1] (analytic) = 1.191705909115561983650722513782 y2[1] (numeric) = 1.1917059091155885620127754082834 absolute error = 2.65783620528945014e-14 relative error = 2.2302786156879874286813733976608e-12 % h = 0.0001 y1[1] (analytic) = 1.191705909115561983650722513782 y1[1] (numeric) = 1.1917060372942439998388482745462 absolute error = 1.281786820161881257607642e-07 relative error = 1.0755898836762283412117973898747e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2761.9MB, alloc=4.6MB, time=312.43 NO POLE NO POLE x[1] = 0.193 y2[1] (analytic) = 1.1918040533984453238069134641578 y2[1] (numeric) = 1.1918040533984720742643042164337 absolute error = 2.67504573907522759e-14 relative error = 2.2445348557485591741022226052249e-12 % h = 0.0001 y1[1] (analytic) = 1.1918040533984453238069134641578 y1[1] (numeric) = 1.1918041818524455377608829255021 absolute error = 1.284540002139539694613443e-07 relative error = 1.0778114057228254618609081246979e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2765.7MB, alloc=4.6MB, time=312.64 NO POLE NO POLE x[1] = 0.1931 y2[1] (analytic) = 1.1919021957632881315770182875853 y2[1] (numeric) = 1.191902195763315055057205912787 absolute error = 2.69234801876252017e-14 relative error = 2.2588665650023021646651094998732e-12 % h = 0.0001 y1[1] (analytic) = 1.1919021957632881315770182875853 y1[1] (numeric) = 1.1919023244928996908331672912507 absolute error = 1.287296115592561490036654e-07 relative error = 1.0800350231490123022883624320372e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2769.5MB, alloc=4.6MB, time=312.85 NO POLE NO POLE x[1] = 0.1932 y2[1] (analytic) = 1.1920003362091089833134267594036 y2[1] (numeric) = 1.1920003362091360807478634692648 absolute error = 2.70974344367098612e-14 relative error = 2.2732740598788087024045572812360e-12 % h = 0.0001 y1[1] (analytic) = 1.1920003362091089833134267594036 y1[1] (numeric) = 1.1920004652146250268979176845565 absolute error = 1.290055160435844909251529e-07 relative error = 1.0822607353774558560163926075453e-05 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2773.3MB, alloc=4.6MB, time=313.07 x[1] = 0.1933 y2[1] (analytic) = 1.1920984747349264745587481992969 y2[1] (numeric) = 1.1920984747349537468828922750997 absolute error = 2.72723241440758028e-14 relative error = 2.2877576577841056861548738826053e-12 % h = 0.0001 y1[1] (analytic) = 1.1920984747349264745587481992969 y1[1] (numeric) = 1.1920986040166401329816942917851 absolute error = 1.292817136584229460924882e-07 relative error = 1.0844885418309914891961130897437e-05 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1934 y2[1] (analytic) = 1.1921966113397592200556255158602 y2[1] (numeric) = 1.1921966113397866682089542089917 absolute error = 2.74481533286931315e-14 relative error = 2.3023176771025727162609342675501e-12 % h = 0.0001 y1[1] (analytic) = 1.1921966113397592200556255158602 y1[1] (numeric) = 1.1921967408979636153052153601904 absolute error = 1.295582043952495898443302e-07 relative error = 1.0867184419326228802643438178000e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2777.1MB, alloc=4.6MB, time=313.29 NO POLE NO POLE x[1] = 0.1935 y2[1] (analytic) = 1.1922947460226258537565490591647 y2[1] (numeric) = 1.1922947460226534786825715192933 absolute error = 2.76249260224601286e-14 relative error = 2.3169544371988617215154205865564e-12 % h = 0.0001 y1[1] (analytic) = 1.1922947460226258537565490591647 y1[1] (numeric) = 1.1922948758576140992931711932901 absolute error = 1.298349882455366221341254e-07 relative error = 1.0889504351055219596249281748468e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2780.9MB, alloc=4.6MB, time=313.50 NO POLE NO POLE x[1] = 0.1936 y2[1] (analytic) = 1.1923928787825450288336702812247 y2[1] (numeric) = 1.1923928787825728314799405121255 absolute error = 2.78026462702309008e-14 relative error = 2.3316682584198181326979627019153e-12 % h = 0.0001 y1[1] (analytic) = 1.1923928787825450288336702812247 y1[1] (numeric) = 1.1923930088946102295840379542305 absolute error = 1.301120652007503676730058e-07 relative error = 1.0911845207730288493545274690379e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2784.7MB, alloc=4.6MB, time=313.71 NO POLE NO POLE x[1] = 0.1937 y2[1] (analytic) = 1.1924910096185354176886152042682 y2[1] (numeric) = 1.1924910096185633990067450473263 absolute error = 2.79813181298430581e-14 relative error = 2.3464594620964035516034634297273e-12 % h = 0.0001 y1[1] (analytic) = 1.1924910096185354176886152042682 y1[1] (numeric) = 1.1924911400079706700398912770432 absolute error = 1.303894352523512760727750e-07 relative error = 1.0934206983586518029328839777976e-05 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1938 y2[1] (analytic) = 1.1925891385296157119622976967119 y2[1] (numeric) = 1.1925891385296438729079698421343 absolute error = 2.81609456721454224e-14 relative error = 2.3613283705456200741086316303164e-12 % h = 0.0001 y1[1] (analytic) = 1.1925891385296157119622976967119 y1[1] (numeric) = 1.1925892691967141037562196856954 absolute error = 1.306670983917939219889835e-07 relative error = 1.0956589672860671449975496154546e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2788.6MB, alloc=4.6MB, time=313.92 NO POLE NO POLE x[1] = 0.1939 y2[1] (analytic) = 1.1926872655148046225447325567445 y2[1] (numeric) = 1.1926872655148329640777135825081 absolute error = 2.83415329810257636e-14 relative error = 2.3762753070724359981157391965784e-12 % h = 0.0001 y1[1] (analytic) = 1.1926872655148046225447325567445 y1[1] (numeric) = 1.1926873964598592330717378208347 absolute error = 1.309450546105270052640902e-07 relative error = 1.0978993269791192111230437470894e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2792.4MB, alloc=4.6MB, time=314.14 NO POLE NO POLE x[1] = 0.194 y2[1] (analytic) = 1.1927853905731208795848484034179 y2[1] (numeric) = 1.1927853905731494026690018419846 absolute error = 2.85230841534385667e-14 relative error = 2.3913005959717132091003558744278e-12 % h = 0.0001 y1[1] (analytic) = 1.1927853905731208795848484034179 y1[1] (numeric) = 1.1927855217964247795781994741321 absolute error = 1.312233038999933510707142e-07 relative error = 1.1001417768618202876244632183881e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2796.2MB, alloc=4.6MB, time=314.35 NO POLE NO POLE x[1] = 0.1941 y2[1] (analytic) = 1.19288351370358323250030037515 y2[1] (numeric) = 1.1928835137036119381035998079767 absolute error = 2.87056032994328267e-14 relative error = 2.4064045625301359741331052569619e-12 % h = 0.0001 y1[1] (analytic) = 1.19288351370358323250030037515 y1[1] (numeric) = 1.1928836452054294841302104301235 absolute error = 1.315018462516299100549735e-07 relative error = 1.1023863163583505513855047816667e-05 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2800.0MB, alloc=4.6MB, time=314.55 x[1] = 0.1942 y2[1] (analytic) = 1.1929816349052104499872826355398 y2[1] (numeric) = 1.192981634905239339081824815414 absolute error = 2.88890945421798742e-14 relative error = 2.4215875330281413867466148132413e-12 % h = 0.0001 y1[1] (analytic) = 1.1929816349052104499872826355398 y1[1] (numeric) = 1.192981766685892106855041115452 absolute error = 1.317806816568677584799122e-07 relative error = 1.1046329448930580097109020346481e-05 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1943 y2[1] (analytic) = 1.1930797541770213200303406863974 y2[1] (numeric) = 1.1930797541770503935923586876265 absolute error = 2.90735620180012291e-14 relative error = 2.4368498347418512438677087273190e-12 % h = 0.0001 y1[1] (analytic) = 1.1930797541770213200303406863974 y1[1] (numeric) = 1.1930798862368314271624390554133 absolute error = 1.320598101071320983690159e-07 relative error = 1.1068816618904584402032630604237e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2803.8MB, alloc=4.6MB, time=314.77 NO POLE NO POLE x[1] = 0.1944 y2[1] (analytic) = 1.1931778715180346499121834878906 y2[1] (numeric) = 1.1931778715180639089220598843748 absolute error = 2.92590098763964842e-14 relative error = 2.4521917959450055049421048008545e-12 % h = 0.0001 y1[1] (analytic) = 1.1931778715180346499121834878906 y1[1] (numeric) = 1.1931780038572662437544411377057 absolute error = 1.323392315938422576498151e-07 relative error = 1.1091324667752353306642958026425e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2807.6MB, alloc=4.6MB, time=314.98 NO POLE NO POLE x[1] = 0.1945 y2[1] (analytic) = 1.1932759869272692662234953857088 y2[1] (numeric) = 1.1932759869272987116657754569275 absolute error = 2.94454422800712187e-14 relative error = 2.4676137459108973324350394186420e-12 % h = 0.0001 y1[1] (analytic) = 1.1932759869272692662234953857088 y1[1] (numeric) = 1.1932761195462153746351856832866 absolute error = 1.326189461084116902975778e-07 relative error = 1.1113853589722398190204199493262e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2811.4MB, alloc=4.6MB, time=315.19 NO POLE NO POLE x[1] = 0.1946 y2[1] (analytic) = 1.1933741004037440148727478451492 y2[1] (numeric) = 1.1933741004037736477361528100885 absolute error = 2.96328634049649393e-14 relative error = 2.4831160149143095201610950472445e-12 % h = 0.0001 y1[1] (analytic) = 1.1933741004037440148727478451492 y1[1] (numeric) = 1.1933742333026976571207243242373 absolute error = 1.328989536422479764790881e-07 relative error = 1.1136403379064906332727272276899e-05 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1947 y2[1] (analytic) = 1.1934722119464777610960109920228 y2[1] (numeric) = 1.1934722119465075823734512710753 absolute error = 2.98212774402790525e-14 relative error = 2.4986989342334526103798263959629e-12 % h = 0.0001 y1[1] (analytic) = 1.1934722119464777610960109920228 y1[1] (numeric) = 1.1934723451257319478488336885384 absolute error = 1.331792541867528226965156e-07 relative error = 1.1158974030031740314713190671364e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2815.3MB, alloc=4.6MB, time=315.40 NO POLE NO POLE x[1] = 0.1948 y2[1] (analytic) = 1.1935703215544893894667649602862 y2[1] (numeric) = 1.1935703215545194001553534651512 absolute error = 3.00106885885048650e-14 relative error = 2.5143628361519044390550047256415e-12 % h = 0.0001 y1[1] (analytic) = 1.1935703215544893894667649602862 y1[1] (numeric) = 1.193570455014337122788826891657 absolute error = 1.334598477333220619313708e-07 relative error = 1.1181565536876437417139701360181e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2819.1MB, alloc=4.6MB, time=315.61 NO POLE NO POLE x[1] = 0.1949 y2[1] (analytic) = 1.1936684292267978039057110462983 y2[1] (numeric) = 1.1936684292268280050067764979121 absolute error = 3.02011010654516138e-14 relative error = 2.5301080539605512425909982048382e-12 % h = 0.0001 y1[1] (analytic) = 1.1936684292267978039057110462983 y1[1] (numeric) = 1.1936685629675320772513648348485 absolute error = 1.337407342733456537885502e-07 relative error = 1.1204177893854209021691374991055e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2822.9MB, alloc=4.6MB, time=315.83 NO POLE NO POLE x[1] = 0.195 y2[1] (analytic) = 1.1937665349624219276905826696054 y2[1] (numeric) = 1.1937665349624523202096829441308 absolute error = 3.03925191002745254e-14 relative error = 2.5459349219595302749816705128784e-12 % h = 0.0001 y1[1] (analytic) = 1.1937665349624219276905826696054 y1[1] (numeric) = 1.1937666689843357258982673100736 absolute error = 1.340219137982076846404682e-07 relative error = 1.1226811095221940011232798409490e-05 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2826.7MB, alloc=4.6MB, time=316.04 x[1] = 0.1951 y2[1] (analytic) = 1.1938646387603807034659561401552 y2[1] (numeric) = 1.1938646387604112884128916430601 absolute error = 3.05849469355029049e-14 relative error = 2.5618437754601740016071335441142e-12 % h = 0.0001 y1[1] (analytic) = 1.1938646387603807034659561401552 y1[1] (numeric) = 1.193864773063767002752323911434 absolute error = 1.343033862992863677712788e-07 relative error = 1.1249465135238188170525006414692e-05 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1952 y2[1] (analytic) = 1.1939627406196930932530612318434 y2[1] (numeric) = 1.1939627406197238716418883000969 absolute error = 3.07783888270682535e-14 relative error = 2.5778349507869557432344819431181e-12 % h = 0.0001 y1[1] (analytic) = 1.1939627406196930932530612318434 y1[1] (numeric) = 1.1939628752048448612071047530271 absolute error = 1.345851517679540435211837e-07 relative error = 1.1272140008163183587184755763948e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2830.5MB, alloc=4.6MB, time=316.25 NO POLE NO POLE x[1] = 0.1953 y2[1] (analytic) = 1.194060840539378078459591562293 y2[1] (numeric) = 1.1940608405394090513086358947089 absolute error = 3.09728490443324159e-14 relative error = 2.5939087852794368951053817689253e-12 % h = 0.0001 y1[1] (analytic) = 1.194060840539378078459591562293 y1[1] (numeric) = 1.1940609754065882740367709931228 absolute error = 1.348672101955771794308298e-07 relative error = 1.1294835708258828052886780383234e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2834.3MB, alloc=4.6MB, time=316.46 NO POLE NO POLE x[1] = 0.1954 y2[1] (analytic) = 1.1941589385184546598895147787691 y2[1] (numeric) = 1.194158938518485828221384894526 absolute error = 3.11683318701157569e-14 relative error = 2.6100656172942156616813858125728e-12 % h = 0.0001 y1[1] (analytic) = 1.1941589385184546598895147787691 y1[1] (numeric) = 1.1941590736680162334058851645636 absolute error = 1.351495615735163703857945e-07 relative error = 1.1317552229788694464808781426467e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2838.1MB, alloc=4.6MB, time=316.67 NO POLE NO POLE x[1] = 0.1955 y2[1] (analytic) = 1.1942570345559418577528825501312 y2[1] (numeric) = 1.1942570345559732225944832754983 absolute error = 3.13648416007253671e-14 relative error = 2.6263057862068772978975008918323e-12 % h = 0.0001 y1[1] (analytic) = 1.1942570345559418577528825501312 y1[1] (numeric) = 1.1942571699881477508792213112903 absolute error = 1.354322058931263387611591e-07 relative error = 1.1340289567018026227319065066747e-05 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1956 y2[1] (analytic) = 1.1943551286508587116756403647244 y2[1] (numeric) = 1.1943551286508902740581863480227 absolute error = 3.15623825459832983e-14 relative error = 2.6426296324139459063897351142514e-12 % h = 0.0001 y1[1] (analytic) = 1.1943551286508587116756403647244 y1[1] (numeric) = 1.1943552643660018574315749308947 absolute error = 1.357151431457559345661703e-07 relative error = 1.1363047714213736653906715826428e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2842.0MB, alloc=4.6MB, time=316.87 NO POLE NO POLE x[1] = 0.1957 y2[1] (analytic) = 1.1944532208022242807094371341118 y2[1] (numeric) = 1.1944532208022560416684663889395 absolute error = 3.17609590292548277e-14 relative error = 2.6590374973348377145495392058331e-12 % h = 0.0001 y1[1] (analytic) = 1.1944532208022242807094371341118 y1[1] (numeric) = 1.1944533568005976034575727231018 absolute error = 1.359983733227481355889900e-07 relative error = 1.1385826665644408369354210054958e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2845.8MB, alloc=4.6MB, time=317.09 NO POLE NO POLE x[1] = 0.1958 y2[1] (analytic) = 1.1945513110090576433414346025499 y2[1] (numeric) = 1.1945513110090896039168220793016 absolute error = 3.19605753874767517e-14 relative error = 2.6755297234138158976210863549983e-12 % h = 0.0001 y1[1] (analytic) = 1.1945513110090576433414346025499 y1[1] (numeric) = 1.1945514472909540587814821440831 absolute error = 1.362818964154400475415332e-07 relative error = 1.1408626415580292712152340725139e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2849.6MB, alloc=4.6MB, time=317.30 NO POLE NO POLE x[1] = 0.1959 y2[1] (analytic) = 1.1946493992703778975041165621087 y2[1] (numeric) = 1.1946493992704100587400877478176 absolute error = 3.21612359711857089e-14 relative error = 2.6921066541219469135661165311133e-12 % h = 0.0001 y1[1] (analytic) = 1.1946493992703778975041165621087 y1[1] (numeric) = 1.1946495358360903126670207665028 absolute error = 1.365657124151629042043941e-07 relative error = 1.1431446958293309137157349899426e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2853.4MB, alloc=4.6MB, time=317.51 NO POLE NO POLE x[1] = 0.196 y2[1] (analytic) = 1.1947474855852041605850978733388 y2[1] (numeric) = 1.1947474855852365235302424198712 absolute error = 3.23629451445465324e-14 relative error = 2.7087686339590583572935891240087e-12 % h = 0.0001 y1[1] (analytic) = 1.1947474855852041605850978733388 y1[1] (numeric) = 1.1947476224350254738271654451988 absolute error = 1.368498213132420675718600e-07 relative error = 1.1454288288057044618490123420517e-05 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1961 y2[1] (analytic) = 1.194845569952555569436933291387 y2[1] (numeric) = 1.1948455699525881351442186720185 absolute error = 3.25657072853806315e-14 relative error = 2.7255160084556983418465560501129e-12 % h = 0.0001 y1[1] (analytic) = 1.194845569952555569436933291387 y1[1] (numeric) = 1.1948457070867786704339612884011 absolute error = 1.371342231009970279970141e-07 relative error = 1.1477150399146753052677427999703e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2857.2MB, alloc=4.6MB, time=317.73 NO POLE NO POLE x[1] = 0.1962 y2[1] (analytic) = 1.1949436523714512803869260974626 y2[1] (numeric) = 1.1949436523714840499137112918651 absolute error = 3.27695267851944025e-14 relative error = 2.7423491241750963806594581254645e-12 % h = 0.0001 y1[1] (analytic) = 1.1949436523714512803869260974626 y1[1] (numeric) = 1.1949437897903690501283304343881 absolute error = 1.374189177697414043369255e-07 relative error = 1.1500033285839354662034936553170e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2861.0MB, alloc=4.6MB, time=317.96 NO POLE NO POLE x[1] = 0.1963 y2[1] (analytic) = 1.1950417328409104692469365355561 y2[1] (numeric) = 1.195041732840943443654985743225 absolute error = 3.29744080492076689e-14 relative error = 2.7592683287151257952236543638812e-12 % h = 0.0001 y1[1] (analytic) = 1.1950417328409104692469365355561 y1[1] (numeric) = 1.1950418705448157800298806334844 absolute error = 1.377039053107829440979283e-07 relative error = 1.1522936942413435398292089032528e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2864.9MB, alloc=4.6MB, time=318.18 NO POLE NO POLE x[1] = 0.1964 y2[1] (analytic) = 1.1951398113599523313231900543128 y2[1] (numeric) = 1.1951398113599855116786864364635 absolute error = 3.31803554963821507e-14 relative error = 2.7762739707102676222798416246093e-12 % h = 0.0001 y1[1] (analytic) = 1.1951398113599523313231900543128 y1[1] (numeric) = 1.1951399493491380467467136353005 absolute error = 1.379891857154235235809877e-07 relative error = 1.1545861363149246346458501260364e-05 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1965 y2[1] (analytic) = 1.1952378879275960814260853539618 y2[1] (numeric) = 1.1952378879276294687996448039253 absolute error = 3.33873735594499635e-14 relative error = 2.7933663998335760783385234727752e-12 % h = 0.0001 y1[1] (analytic) = 1.1952378879275960814260853539618 y1[1] (numeric) = 1.1952380262023550563852333811174 absolute error = 1.382747589749591480271556e-07 relative error = 1.1568806542328703128932019315488e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2868.7MB, alloc=4.6MB, time=318.39 NO POLE NO POLE x[1] = 0.1966 y2[1] (analytic) = 1.1953359625428609538800022382042 y2[1] (numeric) = 1.1953359625428945493466871803505 absolute error = 3.35954666849421463e-14 relative error = 2.8105459667986454887066254010460e-12 % h = 0.0001 y1[1] (analytic) = 1.1953359625428609538800022382042 y1[1] (numeric) = 1.1953361011034860345599540013174 absolute error = 1.385606250806799517631132e-07 relative error = 1.1591772474235385309848098640483e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2872.5MB, alloc=4.6MB, time=318.60 NO POLE NO POLE x[1] = 0.1967 y2[1] (analytic) = 1.1954340352047662025331092709612 y2[1] (numeric) = 1.1954340352048000071724424881801 absolute error = 3.38046393332172189e-14 relative error = 2.8278130233615787555626847333326e-12 % h = 0.0001 y1[1] (analytic) = 1.1954340352047662025331092709612 y1[1] (numeric) = 1.1954341740515502264033076177634 absolute error = 1.388467840238701983468022e-07 relative error = 1.1614759153154535799670530210979e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2876.3MB, alloc=4.6MB, time=318.81 NO POLE NO POLE x[1] = 0.1968 y2[1] (analytic) = 1.195532105912331100767171237884 y2[1] (numeric) = 1.1955321059123651156631497276523 absolute error = 3.40148959784897683e-14 relative error = 2.8451679223229573141071362541211e-12 % h = 0.0001 y1[1] (analytic) = 1.195532105912331100767171237884 y1[1] (numeric) = 1.1955322450455668965754519510283 absolute error = 1.391332357958082807131443e-07 relative error = 1.1637766573373060260023377150802e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2880.1MB, alloc=4.6MB, time=319.03 NO POLE NO POLE x[1] = 0.1969 y2[1] (analytic) = 1.1956301746645749415073564125279 y2[1] (numeric) = 1.1956301746646091677484652715931 absolute error = 3.42262411088590652e-14 relative error = 2.8626110175298126680322562050735e-12 % h = 0.0001 y1[1] (analytic) = 1.1956301746645749415073564125279 y1[1] (numeric) = 1.1956303140845553292740777323765 absolute error = 1.394199803877667213198486e-07 relative error = 1.1660794729179526508763976887563e-05 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.197 y2[1] (analytic) = 1.1957282414605170372320436270931 y2[1] (numeric) = 1.1957282414605514759112699648013 absolute error = 3.44386792263377082e-14 relative error = 2.8801426638775993027879670930471e-12 % h = 0.0001 y1[1] (analytic) = 1.1957282414605170372320436270931 y1[1] (numeric) = 1.1957283811675348282442159203996 absolute error = 1.397070177910121722933065e-07 relative error = 1.1683843614864163925296864022850e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2883.9MB, alloc=4.6MB, time=319.23 NO POLE NO POLE x[1] = 0.1971 y2[1] (analytic) = 1.1958263062991767199826291476317 y2[1] (numeric) = 1.1958263062992113721974760279311 absolute error = 3.46522148468802994e-14 relative error = 2.8977632173121692853596035494536e-12 % h = 0.0001 y1[1] (analytic) = 1.1958263062991767199826291476317 y1[1] (numeric) = 1.1958264462935247167880447222082 absolute error = 1.399943479968054155745765e-07 relative error = 1.1706913224718862856128703318464e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2887.7MB, alloc=4.6MB, time=319.45 NO POLE NO POLE x[1] = 0.1972 y2[1] (analytic) = 1.1959243691795733413733333536266 y2[1] (numeric) = 1.1959243691796082082258337657737 absolute error = 3.48668525004121471e-14 relative error = 2.9154730348317481901327577004374e-12 % h = 0.0001 y1[1] (analytic) = 1.1959243691795733413733333536266 y1[1] (numeric) = 1.1959245094615443377746964190816 absolute error = 1.402819709964013630654550e-07 relative error = 1.1730003553037174020663795336880e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2891.6MB, alloc=4.6MB, time=319.66 NO POLE NO POLE x[1] = 0.1973 y2[1] (analytic) = 1.1960224301007262726010072218403 y2[1] (numeric) = 1.1960224301007613551977380798399 absolute error = 3.50825967308579996e-14 relative error = 2.9332724744889126846238149389482e-12 % h = 0.0001 y1[1] (analytic) = 1.1960224301007262726010072218403 y1[1] (numeric) = 1.1960225706706130536500639964771 absolute error = 1.405698867810490567746368e-07 relative error = 1.1753114594114307917240352985234e-05 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1974 y2[1] (analytic) = 1.1961204890616549044549386143388 y2[1] (numeric) = 1.1961204890616902039070347851458 absolute error = 3.52994520961708070e-14 relative error = 2.9511618953925695150503483941716e-12 % h = 0.0001 y1[1] (analytic) = 1.1961204890616549044549386143388 y1[1] (numeric) = 1.1961206299197502464466075783017 absolute error = 1.408580953419916689639629e-07 relative error = 1.1776246342247134229407237084588e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2895.4MB, alloc=4.6MB, time=319.87 NO POLE NO POLE x[1] = 0.1975 y2[1] (analytic) = 1.1962185460613786473266583705903 y2[1] (numeric) = 1.1962185460614141647498267311032 absolute error = 3.55174231683605129e-14 relative error = 2.9691416577099360498700477687153e-12 % h = 0.0001 y1[1] (analytic) = 1.1962185460613786473266583705903 y1[1] (numeric) = 1.196218687207975317793160665347 absolute error = 1.411465966704665022947567e-07 relative error = 1.1799398791734181232441131864082e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2899.2MB, alloc=4.6MB, time=320.09 NO POLE NO POLE x[1] = 0.1976 y2[1] (analytic) = 1.1963166010989169312197462035417 y2[1] (numeric) = 1.1963166010989526677342797264171 absolute error = 3.57365145335228754e-14 relative error = 2.9872121226685223303385436491555e-12 % h = 0.0001 y1[1] (analytic) = 1.1963166010989169312197462035417 y1[1] (numeric) = 1.1963167425343076889247361777899 absolute error = 1.414353907577049899742482e-07 relative error = 1.1822571936875635200104015891779e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2903.0MB, alloc=4.6MB, time=320.30 NO POLE NO POLE x[1] = 0.1977 y2[1] (analytic) = 1.1964146541732892057596363995745 y2[1] (numeric) = 1.1964146541733251624904282678919 absolute error = 3.59567307918683174e-14 relative error = 3.0053736525581146273198914522218e-12 % h = 0.0001 y1[1] (analytic) = 1.1964146541732892057596363995745 y1[1] (numeric) = 1.1964147958977668006923323016611 absolute error = 1.417244775949326959020866e-07 relative error = 1.1845765771973339811640850899860e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2906.8MB, alloc=4.6MB, time=320.51 NO POLE NO POLE x[1] = 0.1978 y2[1] (analytic) = 1.1965127052835149402034233222429 y2[1] (numeric) = 1.1965127052835511182799810730481 absolute error = 3.61780765577508052e-14 relative error = 3.0236266107327604200079278749571e-12 % h = 0.0001 y1[1] (analytic) = 1.1965127052835149402034233222429 y1[1] (numeric) = 1.1965128472973721135727381391832 absolute error = 1.420138571733693148169403e-07 relative error = 1.1868980291330795559017293990568e-05 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1979 y2[1] (analytic) = 1.1966107544286136234496667196937 y2[1] (numeric) = 1.196610754428650024006126416452 absolute error = 3.64005564596967583e-14 relative error = 3.0419713616127550381926792014190e-12 % h = 0.0001 y1[1] (analytic) = 1.1966107544286136234496667196937 y1[1] (numeric) = 1.1966108967321431076783391628799 absolute error = 1.423035294842286724431862e-07 relative error = 1.1892215489253159154397481172641e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2910.6MB, alloc=4.6MB, time=320.72 NO POLE NO POLE x[1] = 0.198 y2[1] (analytic) = 1.1967088016076047640481968356735 y2[1] (numeric) = 1.1967088016076413882233372696599 absolute error = 3.66241751404339864e-14 relative error = 3.0604082706866296329664080822532e-12 % h = 0.0001 y1[1] (analytic) = 1.1967088016076047640481968356735 y1[1] (numeric) = 1.1967089442010992827669224733593 absolute error = 1.425934945187187256376858e-07 relative error = 1.1915471360047242937861562456059e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2914.4MB, alloc=4.6MB, time=320.93 NO POLE NO POLE x[1] = 0.1981 y2[1] (analytic) = 1.1968068468195078902099193240217 y2[1] (numeric) = 1.1968068468195447391471762446789 absolute error = 3.68489372569206572e-14 relative error = 3.0789377045131407760067776247876e-12 % h = 0.0001 y1[1] (analytic) = 1.1968068468195078902099193240217 y1[1] (numeric) = 1.1968069897032601582514818606719 absolute error = 1.428837522680415625366502e-07 relative error = 1.1938747898021514285363053283353e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2918.3MB, alloc=4.6MB, time=321.14 NO POLE NO POLE x[1] = 0.1982 y2[1] (analytic) = 1.1969048900633425498166199665532 y2[1] (numeric) = 1.196904890063379624664100340846 absolute error = 3.70748474803742928e-14 relative error = 3.0975600307232615027948803301603e-12 % h = 0.0001 y1[1] (analytic) = 1.1969048900633425498166199665532 y1[1] (numeric) = 1.1969050332376452732100226691465 absolute error = 1.431743027233934027025933e-07 relative error = 1.1962045097486095016925833081152e-05 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1983 y2[1] (analytic) = 1.1970029313381283104307691942327 y2[1] (numeric) = 1.197002931338165612341265495028 absolute error = 3.73019104963007953e-14 relative error = 3.1162756180221738491645859444210e-12 % h = 0.0001 y1[1] (analytic) = 1.1970029313381283104307691942327 y1[1] (numeric) = 1.197003074803274186395366465605 absolute error = 1.434651458759645972713723e-07 relative error = 1.1985362952752760805080605102879e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2922.1MB, alloc=4.6MB, time=321.35 NO POLE NO POLE x[1] = 0.1984 y2[1] (analytic) = 1.1971009706428847593053264115417 y2[1] (numeric) = 1.1971009706429222894363309350436 absolute error = 3.75301310045235019e-14 relative error = 3.1350848361912629054869124917569e-12 % h = 0.0001 y1[1] (analytic) = 1.1971009706428847593053264115417 y1[1] (numeric) = 1.1971011143991664762449555108588 absolute error = 1.437562817169396290993171e-07 relative error = 1.2008701458134940583540840677778e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2925.9MB, alloc=4.6MB, time=321.57 NO POLE NO POLE x[1] = 0.1985 y2[1] (analytic) = 1.1971990079766315033935441239406 y2[1] (numeric) = 1.19719900797666926290726333621 absolute error = 3.77595137192122694e-14 relative error = 3.1539880560901123793660411689998e-12 % h = 0.0001 y1[1] (analytic) = 1.1971990079766315033935441239406 y1[1] (numeric) = 1.1971991520243417408906570343882 absolute error = 1.440477102374971129104476e-07 relative error = 1.2032060607947715956118013777474e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2929.7MB, alloc=4.6MB, time=321.78 NO POLE NO POLE x[1] = 0.1986 y2[1] (analytic) = 1.1972970433383881693587718683283 y2[1] (numeric) = 1.1972970433384261594221407809157 absolute error = 3.79900633689125874e-14 relative error = 3.1729856496585016076168545051757e-12 % h = 0.0001 y1[1] (analytic) = 1.1972970433383881693587718683283 y1[1] (numeric) = 1.1972971876778195981685673121069 absolute error = 1.443394314288097954437786e-07 relative error = 1.2055440396507820605875990388144e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2933.5MB, alloc=4.6MB, time=321.99 NO POLE NO POLE x[1] = 0.1987 y2[1] (analytic) = 1.1973950767271744035842599464001 y2[1] (numeric) = 1.1973950767272126253689565211219 absolute error = 3.82217846965747218e-14 relative error = 3.1920779899184041504164671610137e-12 % h = 0.0001 y1[1] (analytic) = 1.1973950767271744035842599464001 y1[1] (numeric) = 1.1973952213586196856288155471138 absolute error = 1.446314452820445556007137e-07 relative error = 1.2078840818133639704524579224733e-05 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1988 y2[1] (analytic) = 1.1974931081420098721829629608074 y2[1] (numeric) = 1.1974931081420483268654225436937 absolute error = 3.84546824595828863e-14 relative error = 3.2112654509759877747549717556992e-12 % h = 0.0001 y1[1] (analytic) = 1.1974931081420098721829629608074 y1[1] (numeric) = 1.1974932530657616605453675533338 absolute error = 1.449237517883624045925264e-07 relative error = 1.2102261867145209322051983079207e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2937.3MB, alloc=4.6MB, time=322.20 NO POLE NO POLE x[1] = 0.1989 y2[1] (analytic) = 1.19759113758191426100734315402 y2[1] (numeric) = 1.1975911375819529497687729384638 absolute error = 3.86887614297844438e-14 relative error = 3.2305484080236159851410862762002e-12 % h = 0.0001 y1[1] (analytic) = 1.19759113758191426100734315402 y1[1] (numeric) = 1.1975912827982651999258292419497 absolute error = 1.452163509389184860879297e-07 relative error = 1.2125703537864215836596149103284e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2941.1MB, alloc=4.6MB, time=322.41 NO POLE NO POLE x[1] = 0.199 y2[1] (analytic) = 1.1976891650459072756591735497928 y2[1] (numeric) = 1.1976891650459461996855670689306 absolute error = 3.89240263935191378e-14 relative error = 3.2499272373418511091257065004152e-12 % h = 0.0001 y1[1] (analytic) = 1.1976891650459072756591735497928 y1[1] (numeric) = 1.1976893105551500005212499105271 absolute error = 1.455092427248620763607343e-07 relative error = 1.2149165824613995344554916119022e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2945.0MB, alloc=4.6MB, time=322.62 NO POLE NO POLE x[1] = 0.1991 y2[1] (analytic) = 1.1977871905330086414993408971407 y2[1] (numeric) = 1.1977871905330478019814925454919 absolute error = 3.91604821516483512e-14 relative error = 3.2694023163014587197859087603980e-12 % h = 0.0001 y1[1] (analytic) = 1.1977871905330086414993408971407 y1[1] (numeric) = 1.1977873363354357788359253347339 absolute error = 1.458024271373365844375932e-07 relative error = 1.2172648721719533070934665081386e-05 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2948.8MB, alloc=4.6MB, time=322.83 x[1] = 0.1992 y2[1] (analytic) = 1.1978852140422381036576484167208 y2[1] (numeric) = 1.1978852140422775017911680011172 absolute error = 3.93981335195843964e-14 relative error = 3.2889740233654137200776723916985e-12 % h = 0.0001 y1[1] (analytic) = 1.1978852140422381036576484167208 y1[1] (numeric) = 1.1978853601381422711372006625576 absolute error = 1.460959041674795522458368e-07 relative error = 1.2196152223507462779937704920997e-05 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1993 y2[1] (analytic) = 1.1979832355726154270426183495267 y2[1] (numeric) = 1.19798323557265506402794566936 absolute error = 3.96369853273198333e-14 relative error = 3.3086427380909078043956239254863e-12 % h = 0.0001 y1[1] (analytic) = 1.1979832355726154270426183495267 y1[1] (numeric) = 1.1979833819622892334652731109206 absolute error = 1.463896738064226547613939e-07 relative error = 1.2219676324306066185787899607495e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2952.6MB, alloc=4.6MB, time=323.05 NO POLE NO POLE x[1] = 0.1994 y2[1] (analytic) = 1.198081255123160396351294307795 y2[1] (numeric) = 1.1980812551232002733937137646119 absolute error = 3.98770424194568169e-14 relative error = 3.3284088411313584385452301620284e-12 % h = 0.0001 y1[1] (analytic) = 1.198081255123160396351294307795 y1[1] (numeric) = 1.198081401806896441642994464597 absolute error = 1.466837360452917001568020e-07 relative error = 1.2243221018445272363794710316615e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2956.4MB, alloc=4.6MB, time=323.25 NO POLE NO POLE x[1] = 0.1995 y2[1] (analytic) = 1.1981792726928928160790434280264 y2[1] (numeric) = 1.1981792726929329343886986645012 absolute error = 4.01183096552364748e-14 relative error = 3.3482727142384193823966597090669e-12 % h = 0.0001 y1[1] (analytic) = 1.1981792726928928160790434280264 y1[1] (numeric) = 1.1981794196709836912856733773318 absolute error = 1.469780908752066299493054e-07 relative error = 1.2266786300256657161655417501226e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2960.2MB, alloc=4.6MB, time=323.46 NO POLE NO POLE x[1] = 0.1996 y2[1] (analytic) = 1.1982772882808325105293583260244 y2[1] (numeric) = 1.1982772882808728713212668943372 absolute error = 4.03607919085683128e-14 relative error = 3.3682347402639926042222222195464e-12 % h = 0.0001 y1[1] (analytic) = 1.1982772882808325105293583260244 y1[1] (numeric) = 1.1982774355535707978108774750655 absolute error = 1.472727382872815191490411e-07 relative error = 1.2290372164073442610995412985097e-05 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1997 y2[1] (analytic) = 1.1983753018859993238236588538516 y2[1] (numeric) = 1.1983753018860399283177269135025 absolute error = 4.06044940680596509e-14 relative error = 3.3882953031622417779481376341069e-12 % h = 0.0001 y1[1] (analytic) = 1.1983753018859993238236588538516 y1[1] (numeric) = 1.198375449453677596448235261165 absolute error = 1.475676782726245764073134e-07 relative error = 1.2313978604230496339146527356582e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2964.0MB, alloc=4.6MB, time=323.68 NO POLE NO POLE x[1] = 0.1998 y2[1] (analytic) = 1.1984733135074131199110936586078 y2[1] (numeric) = 1.1984733135074539693321307036955 absolute error = 4.08494210370450877e-14 relative error = 3.4084547879916071956366318388340e-12 % h = 0.0001 y1[1] (analytic) = 1.1984733135074131199110936586078 y1[1] (numeric) = 1.1984734613703239422492378235636 absolute error = 1.478629108223381441649558e-07 relative error = 1.2337605615064330981163166036147e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2967.9MB, alloc=4.6MB, time=323.91 NO POLE NO POLE x[1] = 0.1999 y2[1] (analytic) = 1.1985713231440937825783415429302 y2[1] (numeric) = 1.1985713231441348781560751589246 absolute error = 4.10955777336159944e-14 relative error = 3.4287135809168221946087429958510e-12 % h = 0.0001 y1[1] (analytic) = 1.1985713231440937825783415429302 y1[1] (numeric) = 1.1985714713025297100970403437115 absolute error = 1.481584359275186988007813e-07 relative error = 1.2361253190913103592076236106540e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2971.7MB, alloc=4.6MB, time=324.12 NO POLE NO POLE x[1] = 0.2 y2[1] (analytic) = 1.1986693307950612154594126271184 y2[1] (numeric) = 1.1986693307951025584285032771567 absolute error = 4.13429690906500383e-14 relative error = 3.4490720692109310900997573499166e-12 % h = 0.0001 y1[1] (analytic) = 1.1986693307950612154594126271184 y1[1] (numeric) = 1.1986694792493147947162634072394 absolute error = 1.484542535792568507801210e-07 relative error = 1.2384921326116615059384745879927e-05 % h = 0.0001 Finished! Maximum Iterations Reached before Solution Completed! diff ( y2 , x , 4 ) = y1 - 1.0; diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ; Iterations = 1000 Total Elapsed Time = 5 Minutes 24 Seconds Elapsed Time(since restart) = 5 Minutes 24 Seconds Expected Time Remaining = 4 Hours 24 Minutes 25 Seconds Optimized Time Remaining = 4 Hours 24 Minutes 25 Seconds Time to Timeout = 9 Minutes 35 Seconds Percent Done = 2.002 % > quit memory used=2972.7MB, alloc=4.6MB, time=324.17