(%i1) batch(diffeq.max) read and interpret file: /home/dennis/mastersource/mine/omnisode/diffeq.max (%i2) load(stringproc) (%o2) /usr/share/maxima/5.27.0/share/stringproc/stringproc.mac (%i3) check_sign(x0, xf) := block([ret], if xf > x0 then ret : 1.0 else ret : - 1.0, ret) (%o3) check_sign(x0, xf) := block([ret], if xf > x0 then ret : 1.0 else ret : - 1.0, ret) (%i4) est_size_answer() := block([min_size], min_size : glob_large_float, if omniabs(array_y ) < min_size then (min_size : omniabs(array_y ), 1 1 omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")), if min_size < 1.0 then (min_size : 1.0, omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")), min_size) (%o4) est_size_answer() := block([min_size], min_size : glob_large_float, if omniabs(array_y ) < min_size then (min_size : omniabs(array_y ), 1 1 omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")), if min_size < 1.0 then (min_size : 1.0, omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")), min_size) (%i5) test_suggested_h() := block([max_value3, hn_div_ho, hn_div_ho_2, hn_div_ho_3, value3, no_terms], max_value3 : 0.0, no_terms : glob_max_terms, hn_div_ho : 0.5, hn_div_ho_2 : 0.25, hn_div_ho_3 : 0.125, omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, ""), omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, ""), omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, ""), value3 : omniabs(array_y hn_div_ho_3 + array_y hn_div_ho_2 no_terms no_terms - 1 + array_y hn_div_ho + array_y ), no_terms - 2 no_terms - 3 if value3 > max_value3 then (max_value3 : value3, omniout_float(ALWAYS, "value3", 32, value3, 32, "")), omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, ""), max_value3) (%o5) test_suggested_h() := block([max_value3, hn_div_ho, hn_div_ho_2, hn_div_ho_3, value3, no_terms], max_value3 : 0.0, no_terms : glob_max_terms, hn_div_ho : 0.5, hn_div_ho_2 : 0.25, hn_div_ho_3 : 0.125, omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, ""), omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, ""), omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, ""), value3 : omniabs(array_y hn_div_ho_3 + array_y hn_div_ho_2 no_terms no_terms - 1 + array_y hn_div_ho + array_y ), no_terms - 2 no_terms - 3 if value3 > max_value3 then (max_value3 : value3, omniout_float(ALWAYS, "value3", 32, value3, 32, "")), omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, ""), max_value3) (%i6) reached_interval() := block([ret], if glob_check_sign array_x >= glob_check_sign glob_next_display 1 then ret : true else ret : false, return(ret)) (%o6) reached_interval() := block([ret], if glob_check_sign array_x >= glob_check_sign glob_next_display 1 then ret : true else ret : false, return(ret)) (%i7) display_alot(iter) := block([abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no], if reached_interval() then (if iter >= 0 then (ind_var : array_x , 1 omniout_float(ALWAYS, "x[1] ", 33, ind_var, 20, " "), analytic_val_y : exact_soln_y(ind_var), omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y, 20, " "), term_no : 1, numeric_val : array_y , term_no abserr : omniabs(numeric_val - analytic_val_y), omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, 20, " "), if omniabs(analytic_val_y) # 0.0 abserr 100.0 then (relerr : -----------------------, omniabs(analytic_val_y) if relerr > 1.0E-34 then glob_good_digits : 2 - floor(log10(relerr)) else glob_good_digits : 16) else (relerr : - 1.0, glob_good_digits : - 1), if glob_iter = 1 then array_1st_rel_error : relerr 1 else array_last_rel_error : relerr, omniout_float(ALWAYS, 1 "absolute error ", 4, abserr, 20, " "), omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"), omniout_int(INFO, "Correct digits ", 32, glob_good_digits, 4, " "), omniout_float(ALWAYS, "h ", 4, glob_h, 20, " ")))) (%o7) display_alot(iter) := block([abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no], if reached_interval() then (if iter >= 0 then (ind_var : array_x , 1 omniout_float(ALWAYS, "x[1] ", 33, ind_var, 20, " "), analytic_val_y : exact_soln_y(ind_var), omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y, 20, " "), term_no : 1, numeric_val : array_y , term_no abserr : omniabs(numeric_val - analytic_val_y), omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, 20, " "), if omniabs(analytic_val_y) # 0.0 abserr 100.0 then (relerr : -----------------------, omniabs(analytic_val_y) if relerr > 1.0E-34 then glob_good_digits : 2 - floor(log10(relerr)) else glob_good_digits : 16) else (relerr : - 1.0, glob_good_digits : - 1), if glob_iter = 1 then array_1st_rel_error : relerr 1 else array_last_rel_error : relerr, omniout_float(ALWAYS, 1 "absolute error ", 4, abserr, 20, " "), omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"), omniout_int(INFO, "Correct digits ", 32, glob_good_digits, 4, " "), omniout_float(ALWAYS, "h ", 4, glob_h, 20, " ")))) (%i8) adjust_for_pole(h_param) := block([hnew, sz2, tmp], block(hnew : h_param, glob_normmax : glob_small_float, if omniabs(array_y_higher ) > glob_small_float 1, 1 then (tmp : omniabs(array_y_higher ), 1, 1 if tmp < glob_normmax then glob_normmax : tmp), if glob_look_poles and (omniabs(array_pole ) > glob_small_float) 1 array_pole 1 and (array_pole # glob_large_float) then (sz2 : -----------, 1 10.0 if sz2 < hnew then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."), omniout_str(INFO, "Reached Optimal"), return(hnew))), 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 ), hnew : sz2), return(hnew)) 1 (%o8) adjust_for_pole(h_param) := block([hnew, sz2, tmp], block(hnew : h_param, glob_normmax : glob_small_float, if omniabs(array_y_higher ) > glob_small_float 1, 1 then (tmp : omniabs(array_y_higher ), 1, 1 if tmp < glob_normmax then glob_normmax : tmp), if glob_look_poles and (omniabs(array_pole ) > glob_small_float) 1 array_pole 1 and (array_pole # glob_large_float) then (sz2 : -----------, 1 10.0 if sz2 < hnew then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."), omniout_str(INFO, "Reached Optimal"), return(hnew))), 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 ), hnew : sz2), return(hnew)) 1 (%i9) prog_report(x_start, x_end) := block([clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec], 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(clock_sec1) + convfloat(glob_orig_start_sec) + convfloat(glob_max_sec), expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 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(glob_h) + convfloat(array_x ), 1 convfloat(opt_clock_sec)), glob_total_exp_sec : total_clock_sec + glob_optimal_expect_sec, percent_done : comp_percent(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done, 1 omniout_str_noeol(INFO, "Total Elapsed Time "), omniout_timestr(convfloat(total_clock_sec)), omniout_str_noeol(INFO, "Elapsed Time(since restart) "), omniout_timestr(convfloat(glob_clock_sec)), if convfloat(percent_done) < convfloat(100.0) then (omniout_str_noeol(INFO, "Expected Time Remaining "), omniout_timestr(convfloat(expect_sec)), omniout_str_noeol(INFO, "Optimized Time Remaining "), omniout_timestr(convfloat(glob_optimal_expect_sec)), omniout_str_noeol(INFO, "Expected Total Time "), omniout_timestr(convfloat(glob_total_exp_sec))), omniout_str_noeol(INFO, "Time to Timeout "), omniout_timestr(convfloat(left_sec)), omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%")) (%o9) prog_report(x_start, x_end) := block([clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec], 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(clock_sec1) + convfloat(glob_orig_start_sec) + convfloat(glob_max_sec), expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 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(glob_h) + convfloat(array_x ), 1 convfloat(opt_clock_sec)), glob_total_exp_sec : total_clock_sec + glob_optimal_expect_sec, percent_done : comp_percent(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done, 1 omniout_str_noeol(INFO, "Total Elapsed Time "), omniout_timestr(convfloat(total_clock_sec)), omniout_str_noeol(INFO, "Elapsed Time(since restart) "), omniout_timestr(convfloat(glob_clock_sec)), if convfloat(percent_done) < convfloat(100.0) then (omniout_str_noeol(INFO, "Expected Time Remaining "), omniout_timestr(convfloat(expect_sec)), omniout_str_noeol(INFO, "Optimized Time Remaining "), omniout_timestr(convfloat(glob_optimal_expect_sec)), omniout_str_noeol(INFO, "Expected Total Time "), omniout_timestr(convfloat(glob_total_exp_sec))), omniout_str_noeol(INFO, "Time to Timeout "), omniout_timestr(convfloat(left_sec)), omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%")) (%i10) check_for_pole() := block([cnt, dr1, dr2, ds1, ds2, hdrc, hdrc_BBB, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term], n : glob_max_terms, m : - 1 - 1 + n, while (m >= 10) and ((omniabs(array_y_higher ) < glob_small_float glob_small_float) 1, m or (omniabs(array_y_higher ) < glob_small_float glob_small_float) 1, m - 1 or (omniabs(array_y_higher ) < glob_small_float glob_small_float)) do m 1, m - 2 array_y_higher 1, m : m - 1, if m > 10 then (rm0 : ----------------------, array_y_higher 1, m - 1 array_y_higher 1, m - 1 rm1 : ----------------------, hdrc : convfloat(m) rm0 - convfloat(m - 1) rm1, array_y_higher 1, m - 2 if omniabs(hdrc) > glob_small_float glob_small_float glob_h then (rcs : ------, ord_no : hdrc rm1 convfloat((m - 2) (m - 2)) - rm0 convfloat(m - 3) -----------------------------------------------------, hdrc array_real_pole : rcs, array_real_pole : ord_no) 1, 1 1, 2 else (array_real_pole : glob_large_float, 1, 1 array_real_pole : glob_large_float)) 1, 2 else (array_real_pole : glob_large_float, 1, 1 array_real_pole : glob_large_float), n : - 1 - 1 + glob_max_terms, 1, 2 cnt : 0, while (cnt < 5) and (n >= 10) do (if omniabs(array_y_higher ) > 1, n glob_small_float then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n, if m <= 10 then (rad_c : glob_large_float, ord_no : glob_large_float) elseif ((omniabs(array_y_higher ) >= glob_large_float) 1, m or (omniabs(array_y_higher ) >= glob_large_float) 1, m - 1 or (omniabs(array_y_higher ) >= glob_large_float) 1, m - 2 or (omniabs(array_y_higher ) >= glob_large_float) 1, m - 3 or (omniabs(array_y_higher ) >= glob_large_float) 1, m - 4 or (omniabs(array_y_higher ) >= glob_large_float)) 1, m - 5 or ((omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float)) 1, m 1, m - 1 1, m - 2 1, m - 3 1, m - 4 1, m - 5 then (rad_c : glob_large_float, ord_no : glob_large_float) array_y_higher array_y_higher 1, m 1, m - 1 else (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 array_y_higher array_y_higher 1, m - 2 1, m - 3 rm2 : ----------------------, rm3 : ----------------------, array_y_higher array_y_higher 1, m - 3 1, m - 4 array_y_higher 1, m - 4 rm4 : ----------------------, nr1 : convfloat(m - 3) rm2 array_y_higher 1, m - 5 - 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0, nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1, - 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0 dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---, rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1 5.0 8.0 3.0 ds2 : --- - --- + ---, if (omniabs(nr1 dr2 - nr2 dr1) <= glob_small_float) rm4 rm3 rm2 or (omniabs(dr1) <= glob_small_float) then (rad_c : glob_large_float, ord_no : glob_large_float) else (if omniabs(nr1 dr2 - nr2 dr1) > dr1 dr2 - ds2 dr1 + ds1 dr2 glob_small_float then (rcs : ---------------------------, nr1 dr2 - nr2 dr1 rcs nr1 - ds1 convfloat(m) ord_no : ------------- - ------------, 2.0 dr1 2.0 if omniabs(rcs) > glob_small_float then (if rcs > 0.0 then rad_c : sqrt(rcs) omniabs(glob_h) else rad_c : glob_large_float) else (rad_c : glob_large_float, ord_no : glob_large_float)) else (rad_c : glob_large_float, ord_no : glob_large_float)), array_complex_pole : rad_c, array_complex_pole : ord_no), 1, 1 1, 2 found_sing : 0, if (1 # found_sing) and ((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole # glob_large_float) and (array_complex_pole # glob_large_float)) 1, 1 1, 2 and ((array_complex_pole > 0.0) and (array_complex_pole > 0.0)) 1, 1 1, 2 then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , found_sing : 1, 1, 2 1, 2 array_type_pole : 2, if glob_display_flag 1 then (if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used for equation 1"))), if (1 # found_sing) and ((array_real_pole # glob_large_float) 1, 1 and (array_real_pole # glob_large_float) and (array_real_pole > 0.0) 1, 2 1, 1 and (array_real_pole > - 1.0 glob_smallish_float) 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float) or (array_complex_pole <= 0.0) or (array_complex_pole <= 0.0))) 1, 1 1, 2 1, 1 1, 2 then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found_sing : 1, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then (if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used for equation 1"))), if (1 # found_sing) and (((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float))) 1, 1 1, 2 then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 found_sing : 1, array_type_pole : 3, if reached_interval() 1 then omniout_str(ALWAYS, "NO POLE for equation 1")), if (1 # found_sing) and ((array_real_pole < array_complex_pole ) 1, 1 1, 1 and (array_real_pole > 0.0) and (array_real_pole > - 1.0 1, 1 1, 2 glob_smallish_float)) then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found_sing : 1, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then (if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used for equation 1"))), if (1 # found_sing) and ((array_complex_pole # glob_large_float) 1, 1 and (array_complex_pole # glob_large_float) 1, 2 and (array_complex_pole > 0.0) and (array_complex_pole > 1, 1 1, 2 0.0)) then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , array_type_pole : 2, 1, 2 1, 2 1 found_sing : 1, if glob_display_flag then (if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used for equation 1"))), if 1 # found_sing then (array_poles : glob_large_float, 1, 1 array_poles : glob_large_float, array_type_pole : 3, 1, 2 1 if reached_interval() then omniout_str(ALWAYS, "NO POLE for equation 1")), array_pole : glob_large_float, array_pole : glob_large_float, 1 2 if array_pole > array_poles then (array_pole : array_poles , 1 1, 1 1 1, 1 array_pole : array_poles ), if array_pole glob_ratio_of_radius < 2 1, 2 1 omniabs(glob_h) then (h_new : array_pole glob_ratio_of_radius, term : 1, 1 ratio : 1.0, while term <= glob_max_terms do (array_y : term array_y ratio, array_y_higher : array_y_higher ratio, term 1, term 1, term ratio h_new array_x : array_x ratio, ratio : ---------------, term : 1 + term), term term omniabs(glob_h) glob_h : h_new), if reached_interval() then display_pole()) (%o10) check_for_pole() := block([cnt, dr1, dr2, ds1, ds2, hdrc, hdrc_BBB, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term], n : glob_max_terms, m : - 1 - 1 + n, while (m >= 10) and ((omniabs(array_y_higher ) < glob_small_float glob_small_float) 1, m or (omniabs(array_y_higher ) < glob_small_float glob_small_float) 1, m - 1 or (omniabs(array_y_higher ) < glob_small_float glob_small_float)) do m 1, m - 2 array_y_higher 1, m : m - 1, if m > 10 then (rm0 : ----------------------, array_y_higher 1, m - 1 array_y_higher 1, m - 1 rm1 : ----------------------, hdrc : convfloat(m) rm0 - convfloat(m - 1) rm1, array_y_higher 1, m - 2 if omniabs(hdrc) > glob_small_float glob_small_float glob_h then (rcs : ------, ord_no : hdrc rm1 convfloat((m - 2) (m - 2)) - rm0 convfloat(m - 3) -----------------------------------------------------, hdrc array_real_pole : rcs, array_real_pole : ord_no) 1, 1 1, 2 else (array_real_pole : glob_large_float, 1, 1 array_real_pole : glob_large_float)) 1, 2 else (array_real_pole : glob_large_float, 1, 1 array_real_pole : glob_large_float), n : - 1 - 1 + glob_max_terms, 1, 2 cnt : 0, while (cnt < 5) and (n >= 10) do (if omniabs(array_y_higher ) > 1, n glob_small_float then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n, if m <= 10 then (rad_c : glob_large_float, ord_no : glob_large_float) elseif ((omniabs(array_y_higher ) >= glob_large_float) 1, m or (omniabs(array_y_higher ) >= glob_large_float) 1, m - 1 or (omniabs(array_y_higher ) >= glob_large_float) 1, m - 2 or (omniabs(array_y_higher ) >= glob_large_float) 1, m - 3 or (omniabs(array_y_higher ) >= glob_large_float) 1, m - 4 or (omniabs(array_y_higher ) >= glob_large_float)) 1, m - 5 or ((omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float)) 1, m 1, m - 1 1, m - 2 1, m - 3 1, m - 4 1, m - 5 then (rad_c : glob_large_float, ord_no : glob_large_float) array_y_higher array_y_higher 1, m 1, m - 1 else (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 array_y_higher array_y_higher 1, m - 2 1, m - 3 rm2 : ----------------------, rm3 : ----------------------, array_y_higher array_y_higher 1, m - 3 1, m - 4 array_y_higher 1, m - 4 rm4 : ----------------------, nr1 : convfloat(m - 3) rm2 array_y_higher 1, m - 5 - 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0, nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1, - 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0 dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---, rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1 5.0 8.0 3.0 ds2 : --- - --- + ---, if (omniabs(nr1 dr2 - nr2 dr1) <= glob_small_float) rm4 rm3 rm2 or (omniabs(dr1) <= glob_small_float) then (rad_c : glob_large_float, ord_no : glob_large_float) else (if omniabs(nr1 dr2 - nr2 dr1) > dr1 dr2 - ds2 dr1 + ds1 dr2 glob_small_float then (rcs : ---------------------------, nr1 dr2 - nr2 dr1 rcs nr1 - ds1 convfloat(m) ord_no : ------------- - ------------, 2.0 dr1 2.0 if omniabs(rcs) > glob_small_float then (if rcs > 0.0 then rad_c : sqrt(rcs) omniabs(glob_h) else rad_c : glob_large_float) else (rad_c : glob_large_float, ord_no : glob_large_float)) else (rad_c : glob_large_float, ord_no : glob_large_float)), array_complex_pole : rad_c, array_complex_pole : ord_no), 1, 1 1, 2 found_sing : 0, if (1 # found_sing) and ((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole # glob_large_float) and (array_complex_pole # glob_large_float)) 1, 1 1, 2 and ((array_complex_pole > 0.0) and (array_complex_pole > 0.0)) 1, 1 1, 2 then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , found_sing : 1, 1, 2 1, 2 array_type_pole : 2, if glob_display_flag 1 then (if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used for equation 1"))), if (1 # found_sing) and ((array_real_pole # glob_large_float) 1, 1 and (array_real_pole # glob_large_float) and (array_real_pole > 0.0) 1, 2 1, 1 and (array_real_pole > - 1.0 glob_smallish_float) 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float) or (array_complex_pole <= 0.0) or (array_complex_pole <= 0.0))) 1, 1 1, 2 1, 1 1, 2 then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found_sing : 1, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then (if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used for equation 1"))), if (1 # found_sing) and (((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float))) 1, 1 1, 2 then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 found_sing : 1, array_type_pole : 3, if reached_interval() 1 then omniout_str(ALWAYS, "NO POLE for equation 1")), if (1 # found_sing) and ((array_real_pole < array_complex_pole ) 1, 1 1, 1 and (array_real_pole > 0.0) and (array_real_pole > - 1.0 1, 1 1, 2 glob_smallish_float)) then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found_sing : 1, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then (if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used for equation 1"))), if (1 # found_sing) and ((array_complex_pole # glob_large_float) 1, 1 and (array_complex_pole # glob_large_float) 1, 2 and (array_complex_pole > 0.0) and (array_complex_pole > 1, 1 1, 2 0.0)) then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , array_type_pole : 2, 1, 2 1, 2 1 found_sing : 1, if glob_display_flag then (if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used for equation 1"))), if 1 # found_sing then (array_poles : glob_large_float, 1, 1 array_poles : glob_large_float, array_type_pole : 3, 1, 2 1 if reached_interval() then omniout_str(ALWAYS, "NO POLE for equation 1")), array_pole : glob_large_float, array_pole : glob_large_float, 1 2 if array_pole > array_poles then (array_pole : array_poles , 1 1, 1 1 1, 1 array_pole : array_poles ), if array_pole glob_ratio_of_radius < 2 1, 2 1 omniabs(glob_h) then (h_new : array_pole glob_ratio_of_radius, term : 1, 1 ratio : 1.0, while term <= glob_max_terms do (array_y : term array_y ratio, array_y_higher : array_y_higher ratio, term 1, term 1, term ratio h_new array_x : array_x ratio, ratio : ---------------, term : 1 + term), term term omniabs(glob_h) glob_h : h_new), if reached_interval() then display_pole()) (%i11) get_norms() := block([iii], if not glob_initial_pass then (iii : 1, while iii <= glob_max_terms do (array_norms : 0.0, iii iii : 1 + iii), iii : 1, while iii <= glob_max_terms do (if omniabs(array_y ) > array_norms iii iii then array_norms : omniabs(array_y ), iii : 1 + iii))) iii iii (%o11) get_norms() := block([iii], if not glob_initial_pass then (iii : 1, while iii <= glob_max_terms do (array_norms : 0.0, iii iii : 1 + iii), iii : 1, while iii <= glob_max_terms do (if omniabs(array_y ) > array_norms iii iii then array_norms : omniabs(array_y ), iii : 1 + iii))) iii iii (%i12) atomall() := block([kkk, order_d, adj2, adj3, temporary, term, temp, temp2], array_tmp1 : array_const_0D1 array_x , 1 1 1 array_tmp2 : array_const_0D2 + array_tmp1 , 1 1 1 array_tmp3 : array_const_0D2 array_x , 1 1 1 array_tmp4 : array_const_0D3 + array_tmp3 , 1 1 1 array_tmp5 : expt(array_tmp2 , array_tmp4 ), 1 1 1 array_tmp2 2 array_tmp5_a1 : ln(array_tmp2 ), array_tmp5_a1 : -----------, 1 1 2 array_tmp2 1 array_tmp6 : array_tmp5 + array_const_0D0 , 1 1 1 if not array_y_set_initial then (if 1 <= glob_max_terms 1, 2 then (temporary : array_tmp6 expt(glob_h, 1) factorial_3(0, 1), 1 array_y : temporary, array_y_higher : temporary, 2 1, 2 temporary 1.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 2, glob_h 2, 1 array_tmp1 : array_const_0D1 array_x , array_tmp2 : array_tmp1 , 2 1 2 2 2 array_tmp3 : array_const_0D2 array_x , array_tmp4 : array_tmp3 , 2 1 2 2 2 array_tmp5_a1 array_tmp4 + array_tmp5_a1 array_tmp4 2 1 1 2 array_tmp5_a2 : -------------------------------------------------------, 1 glob_h array_tmp5 : array_tmp5 array_tmp5_a2 glob_h, array_tmp6 : array_tmp5 , 2 1 1 2 2 if not array_y_set_initial then (if 2 <= glob_max_terms 1, 3 then (temporary : array_tmp6 expt(glob_h, 1) factorial_3(1, 2), 2 array_y : temporary, array_y_higher : temporary, 3 1, 3 temporary 2.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 3, glob_h 2, 2 - array_tmp5_a1 array_tmp2 1 2 2 ------------------------------ array_tmp2 1 array_tmp5_a1 : ------------------------------, 3 2 (array_tmp5_a1 array_tmp4 + array_tmp5_a1 array_tmp4 ) 2 3 1 2 2 array_tmp5_a2 : -----------------------------------------------------------, 2 glob_h ats(2, array_tmp5, array_tmp5_a2, 1) glob_h array_tmp5 : -------------------------------------------, 3 2 array_tmp6 : array_tmp5 , if not array_y_set_initial 3 3 1, 4 then (if 3 <= glob_max_terms then (temporary : array_tmp6 expt(glob_h, 1) factorial_3(2, 3), array_y : temporary, 3 4 temporary 3.0 array_y_higher : temporary, temporary : -------------, 1, 4 glob_h array_y_higher : temporary, 0)), kkk : 4, 2, 3 - array_tmp5_a1 array_tmp2 2 3 2 ------------------------------ array_tmp2 1 array_tmp5_a1 : ------------------------------, 4 3 (array_tmp5_a1 array_tmp4 + array_tmp5_a1 array_tmp4 ) 3 4 1 3 2 array_tmp5_a2 : -----------------------------------------------------------, 3 glob_h ats(3, array_tmp5, array_tmp5_a2, 1) glob_h array_tmp5 : -------------------------------------------, 4 3 array_tmp6 : array_tmp5 , if not array_y_set_initial 4 4 1, 5 then (if 4 <= glob_max_terms then (temporary : array_tmp6 expt(glob_h, 1) factorial_3(3, 4), array_y : temporary, 4 5 temporary 4.0 array_y_higher : temporary, temporary : -------------, 1, 5 glob_h array_y_higher : temporary, 0)), kkk : 5, 2, 4 - array_tmp5_a1 array_tmp2 3 4 2 ------------------------------ array_tmp2 1 array_tmp5_a1 : ------------------------------, 5 4 (array_tmp5_a1 array_tmp4 + array_tmp5_a1 array_tmp4 ) 4 5 1 4 2 array_tmp5_a2 : -----------------------------------------------------------, 4 glob_h ats(4, array_tmp5, array_tmp5_a2, 1) glob_h array_tmp5 : -------------------------------------------, 5 4 array_tmp6 : array_tmp5 , if not array_y_set_initial 5 5 1, 6 then (if 5 <= glob_max_terms then (temporary : array_tmp6 expt(glob_h, 1) factorial_3(4, 5), array_y : temporary, 5 6 temporary 5.0 array_y_higher : temporary, temporary : -------------, 1, 6 glob_h array_y_higher : temporary, 0)), kkk : 6, 2, 5 while kkk <= glob_max_terms do (array_tmp5_a1 : kkk - array_tmp5_a1 array_tmp4 (kkk - 2) kkk - 1 2 -------------------------------------------- array_tmp2 1 --------------------------------------------, kkk - 1 array_tmp5_a2 : ((array_tmp5_a1 array_tmp4 kkk - 1 kkk 1 + array_tmp5_a1 array_tmp4 ) (kkk - 1))/glob_h, kkk - 1 2 ats(kkk - 1, array_tmp5, array_tmp5_a2, 1) glob_h array_tmp5 : -------------------------------------------------, kkk kkk - 1 array_tmp6 : array_tmp5 , order_d : 1, kkk kkk if 1 + order_d + kkk <= glob_max_terms then (if not array_y_set_initial 1, order_d + kkk then (temporary : array_tmp6 expt(glob_h, order_d) kkk factorial_3(kkk - 1, - 1 + order_d + kkk), array_y : temporary, order_d + kkk array_y_higher : temporary, term : - 1 + order_d + kkk, 1, order_d + kkk adj2 : - 1 + order_d + kkk, adj3 : 2, while term >= 1 do (if adj3 <= 1 + order_d then (if adj2 > 0 temporary convfp(adj2) then temporary : ---------------------- else temporary : temporary, glob_h array_y_higher : temporary), term : term - 1, adj2 : adj2 - 1, adj3, term adj3 : 1 + adj3))), kkk : 1 + kkk)) (%o12) atomall() := block([kkk, order_d, adj2, adj3, temporary, term, temp, temp2], array_tmp1 : array_const_0D1 array_x , 1 1 1 array_tmp2 : array_const_0D2 + array_tmp1 , 1 1 1 array_tmp3 : array_const_0D2 array_x , 1 1 1 array_tmp4 : array_const_0D3 + array_tmp3 , 1 1 1 array_tmp5 : expt(array_tmp2 , array_tmp4 ), 1 1 1 array_tmp2 2 array_tmp5_a1 : ln(array_tmp2 ), array_tmp5_a1 : -----------, 1 1 2 array_tmp2 1 array_tmp6 : array_tmp5 + array_const_0D0 , 1 1 1 if not array_y_set_initial then (if 1 <= glob_max_terms 1, 2 then (temporary : array_tmp6 expt(glob_h, 1) factorial_3(0, 1), 1 array_y : temporary, array_y_higher : temporary, 2 1, 2 temporary 1.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 2, glob_h 2, 1 array_tmp1 : array_const_0D1 array_x , array_tmp2 : array_tmp1 , 2 1 2 2 2 array_tmp3 : array_const_0D2 array_x , array_tmp4 : array_tmp3 , 2 1 2 2 2 array_tmp5_a1 array_tmp4 + array_tmp5_a1 array_tmp4 2 1 1 2 array_tmp5_a2 : -------------------------------------------------------, 1 glob_h array_tmp5 : array_tmp5 array_tmp5_a2 glob_h, array_tmp6 : array_tmp5 , 2 1 1 2 2 if not array_y_set_initial then (if 2 <= glob_max_terms 1, 3 then (temporary : array_tmp6 expt(glob_h, 1) factorial_3(1, 2), 2 array_y : temporary, array_y_higher : temporary, 3 1, 3 temporary 2.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 3, glob_h 2, 2 - array_tmp5_a1 array_tmp2 1 2 2 ------------------------------ array_tmp2 1 array_tmp5_a1 : ------------------------------, 3 2 (array_tmp5_a1 array_tmp4 + array_tmp5_a1 array_tmp4 ) 2 3 1 2 2 array_tmp5_a2 : -----------------------------------------------------------, 2 glob_h ats(2, array_tmp5, array_tmp5_a2, 1) glob_h array_tmp5 : -------------------------------------------, 3 2 array_tmp6 : array_tmp5 , if not array_y_set_initial 3 3 1, 4 then (if 3 <= glob_max_terms then (temporary : array_tmp6 expt(glob_h, 1) factorial_3(2, 3), array_y : temporary, 3 4 temporary 3.0 array_y_higher : temporary, temporary : -------------, 1, 4 glob_h array_y_higher : temporary, 0)), kkk : 4, 2, 3 - array_tmp5_a1 array_tmp2 2 3 2 ------------------------------ array_tmp2 1 array_tmp5_a1 : ------------------------------, 4 3 (array_tmp5_a1 array_tmp4 + array_tmp5_a1 array_tmp4 ) 3 4 1 3 2 array_tmp5_a2 : -----------------------------------------------------------, 3 glob_h ats(3, array_tmp5, array_tmp5_a2, 1) glob_h array_tmp5 : -------------------------------------------, 4 3 array_tmp6 : array_tmp5 , if not array_y_set_initial 4 4 1, 5 then (if 4 <= glob_max_terms then (temporary : array_tmp6 expt(glob_h, 1) factorial_3(3, 4), array_y : temporary, 4 5 temporary 4.0 array_y_higher : temporary, temporary : -------------, 1, 5 glob_h array_y_higher : temporary, 0)), kkk : 5, 2, 4 - array_tmp5_a1 array_tmp2 3 4 2 ------------------------------ array_tmp2 1 array_tmp5_a1 : ------------------------------, 5 4 (array_tmp5_a1 array_tmp4 + array_tmp5_a1 array_tmp4 ) 4 5 1 4 2 array_tmp5_a2 : -----------------------------------------------------------, 4 glob_h ats(4, array_tmp5, array_tmp5_a2, 1) glob_h array_tmp5 : -------------------------------------------, 5 4 array_tmp6 : array_tmp5 , if not array_y_set_initial 5 5 1, 6 then (if 5 <= glob_max_terms then (temporary : array_tmp6 expt(glob_h, 1) factorial_3(4, 5), array_y : temporary, 5 6 temporary 5.0 array_y_higher : temporary, temporary : -------------, 1, 6 glob_h array_y_higher : temporary, 0)), kkk : 6, 2, 5 while kkk <= glob_max_terms do (array_tmp5_a1 : kkk - array_tmp5_a1 array_tmp4 (kkk - 2) kkk - 1 2 -------------------------------------------- array_tmp2 1 --------------------------------------------, kkk - 1 array_tmp5_a2 : ((array_tmp5_a1 array_tmp4 kkk - 1 kkk 1 + array_tmp5_a1 array_tmp4 ) (kkk - 1))/glob_h, kkk - 1 2 ats(kkk - 1, array_tmp5, array_tmp5_a2, 1) glob_h array_tmp5 : -------------------------------------------------, kkk kkk - 1 array_tmp6 : array_tmp5 , order_d : 1, kkk kkk if 1 + order_d + kkk <= glob_max_terms then (if not array_y_set_initial 1, order_d + kkk then (temporary : array_tmp6 expt(glob_h, order_d) kkk factorial_3(kkk - 1, - 1 + order_d + kkk), array_y : temporary, order_d + kkk array_y_higher : temporary, term : - 1 + order_d + kkk, 1, order_d + kkk adj2 : - 1 + order_d + kkk, adj3 : 2, while term >= 1 do (if adj3 <= 1 + order_d then (if adj2 > 0 temporary convfp(adj2) then temporary : ---------------------- else temporary : temporary, glob_h array_y_higher : temporary), term : term - 1, adj2 : adj2 - 1, adj3, term adj3 : 1 + adj3))), kkk : 1 + kkk)) log(x) (%i13) log10(x) := --------- log(10.0) log(x) (%o13) log10(x) := --------- log(10.0) (%i14) omniout_str(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a~%", string(str)) (%o14) omniout_str(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a~%", string(str)) (%i15) omniout_str_noeol(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a", string(str)) (%o15) omniout_str_noeol(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a", string(str)) (%i16) omniout_labstr(iolevel, label, str) := if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label), string(str)) (%o16) omniout_labstr(iolevel, label, str) := if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label), string(str)) (%i17) omniout_float(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (if vallen = 4 then printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel) else printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel)) (%o17) omniout_float(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (if vallen = 4 then printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel) else printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel)) (%i18) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value, postlabel), newline()) (%o18) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value, postlabel), newline()) (%i19) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline()) (%o19) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline()) (%i20) dump_series(iolevel, dump_label, series_name, arr_series, numb) := block([i], if glob_iolevel >= iolevel then (i : 1, while i <= numb do (sprint(dump_label, series_name, "i = ", i, "series = ", array_series ), newline(), i : 1 + i))) i (%o20) dump_series(iolevel, dump_label, series_name, arr_series, numb) := block([i], if glob_iolevel >= iolevel then (i : 1, while i <= numb do (sprint(dump_label, series_name, "i = ", i, "series = ", array_series ), newline(), i : 1 + i))) i (%i21) dump_series_2(iolevel, dump_label, series_name2, arr_series2, numb, subnum, arr_x) := (array_series2, numb, subnum) := block([i, sub, ts_term], if glob_iolevel >= iolevel then (sub : 1, while sub <= subnum do (i : 1, while i <= num do (sprint(dump_label, series_name, "sub = ", sub, "i = ", i, "series2 = ", array_series2 ), i : 1 + i), sub : 1 + sub))) sub, i (%o21) dump_series_2(iolevel, dump_label, series_name2, arr_series2, numb, subnum, arr_x) := (array_series2, numb, subnum) := block([i, sub, ts_term], if glob_iolevel >= iolevel then (sub : 1, while sub <= subnum do (i : 1, while i <= num do (sprint(dump_label, series_name, "sub = ", sub, "i = ", i, "series2 = ", array_series2 ), i : 1 + i), sub : 1 + sub))) sub, i (%i22) cs_info(iolevel, str) := if glob_iolevel >= iolevel then sprint(concat("cs_info ", str, " glob_correct_start_flag = ", glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ", glob_reached_optimal_h)) (%o22) cs_info(iolevel, str) := if glob_iolevel >= iolevel then sprint(concat("cs_info ", str, " glob_correct_start_flag = ", glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ", glob_reached_optimal_h)) (%i23) logitem_time(fd, secs_in) := block([days, days_int, hours, hours_int, minutes, minutes_int, sec_int, seconds, secs, years, years_int], secs : convfloat(secs_in), printf(fd, "~%"), secs if secs >= 0 then (years_int : trunc(----------------), glob_sec_in_year sec_temp : mod(trunc(secs), trunc(glob_sec_in_year)), sec_temp days_int : trunc(---------------), sec_temp : glob_sec_in_day sec_temp mod(sec_temp, trunc(glob_sec_in_day)), hours_int : trunc(----------------), glob_sec_in_hour sec_temp : mod(sec_temp, trunc(glob_sec_in_hour)), sec_temp minutes_int : trunc(------------------), glob_sec_in_minute sec_int : mod(sec_temp, trunc(glob_sec_in_minute)), if years_int > 0 then printf(fd, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(fd, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(fd, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(fd, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int) else printf(fd, "= ~d Seconds~%", sec_int)) else printf(fd, " Unknown~%"), printf(fd, "~%")) (%o23) logitem_time(fd, secs_in) := block([days, days_int, hours, hours_int, minutes, minutes_int, sec_int, seconds, secs, years, years_int], secs : convfloat(secs_in), printf(fd, "~%"), secs if secs >= 0 then (years_int : trunc(----------------), glob_sec_in_year sec_temp : mod(trunc(secs), trunc(glob_sec_in_year)), sec_temp days_int : trunc(---------------), sec_temp : glob_sec_in_day sec_temp mod(sec_temp, trunc(glob_sec_in_day)), hours_int : trunc(----------------), glob_sec_in_hour sec_temp : mod(sec_temp, trunc(glob_sec_in_hour)), sec_temp minutes_int : trunc(------------------), glob_sec_in_minute sec_int : mod(sec_temp, trunc(glob_sec_in_minute)), if years_int > 0 then printf(fd, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(fd, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(fd, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(fd, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int) else printf(fd, "= ~d Seconds~%", sec_int)) else printf(fd, " Unknown~%"), printf(fd, "~%")) (%i24) omniout_timestr(secs_in) := block([days, days_int, hours, hours_int, minutes, minutes_int, sec_int, seconds, secs, years, years_int], secs : convfloat(secs_in), if secs >= 0 secs then (years_int : trunc(----------------), glob_sec_in_year sec_temp : mod(trunc(secs), trunc(glob_sec_in_year)), sec_temp days_int : trunc(---------------), sec_temp : glob_sec_in_day sec_temp mod(sec_temp, trunc(glob_sec_in_day)), hours_int : trunc(----------------), glob_sec_in_hour sec_temp : mod(sec_temp, trunc(glob_sec_in_hour)), sec_temp minutes_int : trunc(------------------), glob_sec_in_minute sec_int : mod(sec_temp, trunc(glob_sec_in_minute)), if years_int > 0 then printf(true, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int) else printf(true, "= ~d Seconds~%", sec_int)) else printf(true, " Unknown~%")) (%o24) omniout_timestr(secs_in) := block([days, days_int, hours, hours_int, minutes, minutes_int, sec_int, seconds, secs, years, years_int], secs : convfloat(secs_in), if secs >= 0 secs then (years_int : trunc(----------------), glob_sec_in_year sec_temp : mod(trunc(secs), trunc(glob_sec_in_year)), sec_temp days_int : trunc(---------------), sec_temp : glob_sec_in_day sec_temp mod(sec_temp, trunc(glob_sec_in_day)), hours_int : trunc(----------------), glob_sec_in_hour sec_temp : mod(sec_temp, trunc(glob_sec_in_hour)), sec_temp minutes_int : trunc(------------------), glob_sec_in_minute sec_int : mod(sec_temp, trunc(glob_sec_in_minute)), if years_int > 0 then printf(true, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int) else printf(true, "= ~d Seconds~%", sec_int)) else printf(true, " Unknown~%")) (%i25) ats(mmm_ats, arr_a, arr_b, jjj_ats) := block([iii_ats, lll_ats, ma_ats, ret_ats], ret_ats : 0.0, if jjj_ats <= mmm_ats then (ma_ats : 1 + mmm_ats, iii_ats : jjj_ats, while iii_ats <= mmm_ats do (lll_ats : ma_ats - iii_ats, ret_ats : arr_a arr_b + ret_ats, iii_ats : 1 + iii_ats)), iii_ats lll_ats ret_ats) (%o25) ats(mmm_ats, arr_a, arr_b, jjj_ats) := block([iii_ats, lll_ats, ma_ats, ret_ats], ret_ats : 0.0, if jjj_ats <= mmm_ats then (ma_ats : 1 + mmm_ats, iii_ats : jjj_ats, while iii_ats <= mmm_ats do (lll_ats : ma_ats - iii_ats, ret_ats : arr_a arr_b + ret_ats, iii_ats : 1 + iii_ats)), iii_ats lll_ats ret_ats) (%i26) att(mmm_att, arr_aa, arr_bb, jjj_att) := block([al_att, iii_att, lll_att, ma_att, ret_att], ret_att : 0.0, if jjj_att <= mmm_att then (ma_att : 2 + mmm_att, 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 : arr_aa arr_bb convfp(al_att) + ret_att, iii_att lll_att ret_att iii_att : 1 + iii_att), ret_att : ---------------), ret_att) convfp(mmm_att) (%o26) att(mmm_att, arr_aa, arr_bb, jjj_att) := block([al_att, iii_att, lll_att, ma_att, ret_att], ret_att : 0.0, if jjj_att <= mmm_att then (ma_att : 2 + mmm_att, 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 : arr_aa arr_bb convfp(al_att) + ret_att, iii_att lll_att ret_att iii_att : 1 + iii_att), ret_att : ---------------), ret_att) convfp(mmm_att) (%i27) display_pole_debug(typ, radius, order2) := (if typ = 1 then omniout_str(ALWAYS, "Real") else omniout_str(ALWAYS, "Complex"), omniout_float(ALWAYS, "DBG Radius of convergence ", 4, radius, 4, " "), omniout_float(ALWAYS, "DBG Order of pole ", 4, order2, 4, " ")) (%o27) display_pole_debug(typ, radius, order2) := (if typ = 1 then omniout_str(ALWAYS, "Real") else omniout_str(ALWAYS, "Complex"), omniout_float(ALWAYS, "DBG Radius of convergence ", 4, radius, 4, " "), omniout_float(ALWAYS, "DBG Order of pole ", 4, order2, 4, " ")) (%i28) display_pole() := if (array_pole # glob_large_float) 1 and (array_pole > 0.0) and (array_pole # glob_large_float) 1 2 and (array_pole > 0.0) and glob_display_flag 2 then (omniout_float(ALWAYS, "Radius of convergence ", 4, array_pole , 4, " "), omniout_float(ALWAYS, 1 "Order of pole ", 4, array_pole , 4, " ")) 2 (%o28) display_pole() := if (array_pole # glob_large_float) 1 and (array_pole > 0.0) and (array_pole # glob_large_float) 1 2 and (array_pole > 0.0) and glob_display_flag 2 then (omniout_float(ALWAYS, "Radius of convergence ", 4, array_pole , 4, " "), omniout_float(ALWAYS, 1 "Order of pole ", 4, array_pole , 4, " ")) 2 (%i29) logditto(file) := (printf(file, ""), printf(file, "ditto"), printf(file, "")) (%o29) logditto(file) := (printf(file, ""), printf(file, "ditto"), printf(file, "")) (%i30) logitem_integer(file, n) := (printf(file, ""), printf(file, "~d", n), printf(file, "")) (%o30) logitem_integer(file, n) := (printf(file, ""), printf(file, "~d", n), printf(file, "")) (%i31) logitem_str(file, str) := (printf(file, ""), printf(file, str), printf(file, "")) (%o31) logitem_str(file, str) := (printf(file, ""), printf(file, str), printf(file, "")) (%i32) logitem_good_digits(file, rel_error) := block([good_digits], printf(file, ""), if rel_error # - 1.0 then (if rel_error > + 1.0E-34 then (good_digits : 1 - floor(log10(rel_error)), printf(file, "~d", good_digits)) else (good_digits : 16, printf(file, "~d", good_digits))) else printf(file, "Unknown"), printf(file, "")) (%o32) logitem_good_digits(file, rel_error) := block([good_digits], printf(file, ""), if rel_error # - 1.0 then (if rel_error > + 1.0E-34 then (good_digits : 1 - floor(log10(rel_error)), printf(file, "~d", good_digits)) else (good_digits : 16, printf(file, "~d", good_digits))) else printf(file, "Unknown"), printf(file, "")) (%i33) log_revs(file, revs) := printf(file, revs) (%o33) log_revs(file, revs) := printf(file, revs) (%i34) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x), printf(file, "")) (%o34) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x), printf(file, "")) (%i35) logitem_pole(file, pole) := (printf(file, ""), if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real") elseif pole = 2 then printf(file, "Complex") else printf(file, "No Pole"), printf(file, "")) (%o35) logitem_pole(file, pole) := (printf(file, ""), if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real") elseif pole = 2 then printf(file, "Complex") else printf(file, "No Pole"), printf(file, "")) (%i36) logstart(file) := printf(file, "") (%o36) logstart(file) := printf(file, "") (%i37) logend(file) := printf(file, "~%") (%o37) logend(file) := printf(file, "~%") (%i38) chk_data() := block([errflag], errflag : false, if (glob_max_terms < 15) or (glob_max_terms > 512) then (omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"), glob_max_terms : 30), if glob_max_iter < 2 then (omniout_str(ALWAYS, "Illegal max_iter"), errflag : true), if errflag then quit()) (%o38) chk_data() := block([errflag], errflag : false, if (glob_max_terms < 15) or (glob_max_terms > 512) then (omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"), glob_max_terms : 30), if glob_max_iter < 2 then (omniout_str(ALWAYS, "Illegal max_iter"), errflag : true), if errflag then quit()) (%i39) comp_expect_sec(t_end2, t_start2, t2, clock_sec2) := block([ms2, rrr, sec_left, sub1, sub2], ms2 : clock_sec2, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, if sub1 = 0.0 then sec_left : 0.0 else (if sub2 > 0.0 sub1 then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left) sub2 (%o39) comp_expect_sec(t_end2, t_start2, t2, clock_sec2) := block([ms2, rrr, sec_left, sub1, sub2], ms2 : clock_sec2, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, if sub1 = 0.0 then sec_left : 0.0 else (if sub2 > 0.0 sub1 then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left) sub2 (%i40) comp_percent(t_end2, t_start2, t2) := block([rrr, sub1, sub2], sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, 100.0 sub2 if sub2 > glob_small_float then rrr : ---------- else rrr : 0.0, rrr) sub1 (%o40) comp_percent(t_end2, t_start2, t2) := block([rrr, sub1, sub2], sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, 100.0 sub2 if sub2 > glob_small_float then rrr : ---------- else rrr : 0.0, rrr) sub1 (%i41) factorial_2(nnn) := nnn! (%o41) factorial_2(nnn) := nnn! (%i42) factorial_1(nnn) := block([ret], if nnn <= glob_max_terms then (if array_fact_1 = 0 nnn then (ret : factorial_2(nnn), array_fact_1 : ret) nnn else ret : array_fact_1 ) else ret : factorial_2(nnn), ret) nnn (%o42) factorial_1(nnn) := block([ret], if nnn <= glob_max_terms then (if array_fact_1 = 0 nnn then (ret : factorial_2(nnn), array_fact_1 : ret) nnn else ret : array_fact_1 ) else ret : factorial_2(nnn), ret) nnn (%i43) factorial_3(mmm, nnn) := block([ret], if (nnn <= glob_max_terms) and (mmm <= glob_max_terms) factorial_1(mmm) then (if array_fact_2 = 0 then (ret : ----------------, mmm, nnn factorial_1(nnn) array_fact_2 : ret) else ret : array_fact_2 ) mmm, nnn mmm, nnn factorial_2(mmm) else ret : ----------------, ret) factorial_2(nnn) (%o43) factorial_3(mmm, nnn) := block([ret], if (nnn <= glob_max_terms) and (mmm <= glob_max_terms) factorial_1(mmm) then (if array_fact_2 = 0 then (ret : ----------------, mmm, nnn factorial_1(nnn) array_fact_2 : ret) else ret : array_fact_2 ) mmm, nnn mmm, nnn factorial_2(mmm) else ret : ----------------, ret) factorial_2(nnn) (%i44) convfp(mmm) := mmm (%o44) convfp(mmm) := mmm (%i45) convfloat(mmm) := mmm (%o45) convfloat(mmm) := mmm (%i46) elapsed_time_seconds() := block([t], t : elapsed_real_time(), t) (%o46) elapsed_time_seconds() := block([t], t : elapsed_real_time(), t) (%i47) Si(x) := 0.0 (%o47) Si(x) := 0.0 (%i48) Ci(x) := 0.0 (%o48) Ci(x) := 0.0 (%i49) ln(x) := log(x) (%o49) ln(x) := log(x) (%i50) arcsin(x) := asin(x) (%o50) arcsin(x) := asin(x) (%i51) arccos(x) := acos(x) (%o51) arccos(x) := acos(x) (%i52) arctan(x) := atan(x) (%o52) arctan(x) := atan(x) (%i53) omniabs(x) := abs(x) (%o53) omniabs(x) := abs(x) (%i54) expt(x, y) := (if (x = 0.0) and (y < 0.0) y then print("expt error x = ", x, "y = ", y), x ) (%o54) expt(x, y) := (if (x = 0.0) and (y < 0.0) y then print("expt error x = ", x, "y = ", y), x ) (%i55) estimated_needed_step_error(x_start, x_end, estimated_h, estimated_answer) := block([desired_abs_gbl_error, range, estimated_steps, step_error], omniout_float(ALWAYS, "glob_desired_digits_correct", 32, glob_desired_digits_correct, 32, ""), desired_abs_gbl_error : expt(10.0, - glob_desired_digits_correct) omniabs(estimated_answer), omniout_float(ALWAYS, "desired_abs_gbl_error", 32, desired_abs_gbl_error, 32, ""), range : x_end - x_start, omniout_float(ALWAYS, "range", 32, range, 32, range ""), estimated_steps : -----------, omniout_float(ALWAYS, "estimated_steps", estimated_h desired_abs_gbl_error 32, estimated_steps, 32, ""), step_error : omniabs(---------------------), estimated_steps omniout_float(ALWAYS, "step_error", 32, step_error, 32, ""), step_error) (%o55) estimated_needed_step_error(x_start, x_end, estimated_h, estimated_answer) := block([desired_abs_gbl_error, range, estimated_steps, step_error], omniout_float(ALWAYS, "glob_desired_digits_correct", 32, glob_desired_digits_correct, 32, ""), desired_abs_gbl_error : expt(10.0, - glob_desired_digits_correct) omniabs(estimated_answer), omniout_float(ALWAYS, "desired_abs_gbl_error", 32, desired_abs_gbl_error, 32, ""), range : x_end - x_start, omniout_float(ALWAYS, "range", 32, range, 32, range ""), estimated_steps : -----------, omniout_float(ALWAYS, "estimated_steps", estimated_h desired_abs_gbl_error 32, estimated_steps, 32, ""), step_error : omniabs(---------------------), estimated_steps omniout_float(ALWAYS, "step_error", 32, step_error, 32, ""), step_error) (%i56) exact_soln_y(x) := block(0.0) (%o56) exact_soln_y(x) := block(0.0) (%i57) main() := block([d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff, term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter, calc_term, iii, temp_sum, current_iter, x_start, x_end, it, max_terms, opt_iter, tmp, subiter, est_needed_step_err, value3, min_value, est_answer, best_h, found_h, repeat_it], define_variable(glob_max_terms, 30, fixnum), define_variable(glob_iolevel, 5, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(INFO, 2, fixnum), define_variable(DEBUGL, 3, fixnum), define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_check_sign, 1.0, float), define_variable(glob_desired_digits_correct, 8.0, float), define_variable(glob_max_value3, 0.0, float), define_variable(glob_ratio_of_radius, 0.01, float), define_variable(glob_percent_done, 0.0, float), define_variable(glob_subiter_method, 3, fixnum), define_variable(glob_total_exp_sec, 0.1, float), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_html_log, true, boolean), define_variable(glob_good_digits, 0, fixnum), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_dump, false, boolean), define_variable(glob_djd_debug, true, boolean), define_variable(glob_display_flag, true, boolean), define_variable(glob_djd_debug2, true, boolean), define_variable(glob_sec_in_minute, 60, fixnum), define_variable(glob_min_in_hour, 60, fixnum), define_variable(glob_hours_in_day, 24, fixnum), define_variable(glob_days_in_year, 365, fixnum), define_variable(glob_sec_in_hour, 3600, fixnum), define_variable(glob_sec_in_day, 86400, fixnum), define_variable(glob_sec_in_year, 31536000, fixnum), define_variable(glob_almost_1, 0.999, float), define_variable(glob_clock_sec, 0.0, float), define_variable(glob_clock_start_sec, 0.0, float), define_variable(glob_not_yet_finished, true, boolean), define_variable(glob_initial_pass, true, boolean), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(glob_reached_optimal_h, false, boolean), define_variable(glob_optimal_done, false, boolean), define_variable(glob_disp_incr, 0.1, float), define_variable(glob_h, 0.1, float), define_variable(glob_max_h, 0.1, float), define_variable(glob_large_float, 9.0E+100, float), define_variable(glob_last_good_h, 0.1, float), define_variable(glob_look_poles, false, boolean), define_variable(glob_neg_h, false, boolean), define_variable(glob_display_interval, 0.0, float), define_variable(glob_next_display, 0.0, float), define_variable(glob_dump_analytic, false, boolean), define_variable(glob_abserr, 1.0E-11, float), define_variable(glob_relerr, 1.0E-11, float), define_variable(glob_max_hours, 0.0, float), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_no_eqs, 0, fixnum), define_variable(glob_optimal_clock_start_sec, 0.0, float), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_small_float, 1.0E-201, float), define_variable(glob_smallish_float, 1.0E-101, float), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_warned, false, boolean), define_variable(glob_warned2, false, boolean), define_variable(glob_max_sec, 10000.0, float), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_start, 0, fixnum), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_current_iter, 0, fixnum), define_variable(glob_iter, 0, fixnum), define_variable(glob_normmax, 0.0, float), define_variable(glob_max_minutes, 0.0, float), ALWAYS : 1, INFO : 2, DEBUGL : 3, DEBUGMASSIVE : 4, glob_iolevel : INFO, glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10, glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1, glob_iter : - 1, opt_iter : - 1, glob_max_iter : 50000, glob_max_hours : 0.0, glob_max_minutes : 15.0, omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"), omniout_str(ALWAYS, "######\ ########temp/expt_lin_linpostode.ode#################"), omniout_str(ALWAYS, "\ diff ( y , x , 1 ) = expt((0.1 * x + 0.2) , (0.2 * x + 0.3));"), 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:5.0,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS, "glob_look_poles:true,"), omniout_str(ALWAYS, "glob_max_iter:1000000,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_desired_digits_correct:10,"), omniout_str(ALWAYS, "glob_display_interval:0.001,"), omniout_str(ALWAYS, "glob_look_poles:true,"), omniout_str(ALWAYS, "glob_max_iter:10000000,"), omniout_str(ALWAYS, "glob_max_minutes:3,"), omniout_str(ALWAYS, "glob_subiter_method:3,"), omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"), omniout_str(ALWAYS, "exact_soln_y (x) := (block("), omniout_str(ALWAYS, " (0.0 ) "), 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 : 1.0E+100, glob_almost_1 : 0.99, Digits : 32, max_terms : 30, glob_max_terms : max_terms, glob_html_log : true, array(array_y_init, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_fact_1, 1 + max_terms), array(array_pole, 1 + max_terms), array(array_1st_rel_error, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_type_pole, 1 + max_terms), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms), array(array_tmp3, 1 + max_terms), array(array_tmp4, 1 + max_terms), array(array_tmp5_c1, 1 + max_terms), array(array_tmp5_a1, 1 + max_terms), array(array_tmp5_a2, 1 + max_terms), array(array_tmp5, 1 + max_terms), array(array_tmp6, 1 + max_terms), array(array_m1, 1 + max_terms), array(array_y_higher, 1 + 2, 1 + max_terms), array(array_y_higher_work, 1 + 2, 1 + max_terms), array(array_y_higher_work2, 1 + 2, 1 + max_terms), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_poles, 1 + 1, 1 + 3), array(array_real_pole, 1 + 1, 1 + 3), array(array_complex_pole, 1 + 1, 1 + 3), array(array_fact_2, 1 + max_terms, 1 + max_terms), term : 1, while term <= max_terms do (array_y_init : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_norms : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_fact_1 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_pole : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_last_rel_error : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_type_pole : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_y : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_x : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp3 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp4 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp5_c1 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp5_a1 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_tmp5_a2 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp5 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp6 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_m1 : 0.0, term : 1 + term), ord : 1, term while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work2 : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_set_initial : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_real_pole : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_complex_pole : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= max_terms do (term : 1, while term <= max_terms do (array_fact_2 : 0.0, term : 1 + term), ord, term ord : 1 + ord), array(array_y, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term), term array(array_x, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term), term array(array_tmp0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term), term array(array_tmp1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term), term array(array_tmp2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term), term array(array_tmp3, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp3 : 0.0, term : 1 + term), term array(array_tmp4, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp4 : 0.0, term : 1 + term), term array(array_tmp5_c1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp5_c1 : 0.0, term : 1 + term), term array(array_tmp5_a1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp5_a1 : 0.0, term : 1 + term), term array(array_tmp5_a2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp5_a2 : 0.0, term : 1 + term), term array(array_tmp5, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp5 : 0.0, term : 1 + term), term array(array_tmp6, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp6 : 0.0, term : 1 + term), term array(array_m1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_m1 : 0.0, term : 1 + term), term array(array_const_1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term), term array_const_1 : 1, array(array_const_0D0, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term), term array_const_0D0 : 0.0, array(array_const_0D1, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_0D1 : 0.0, term : 1 + term), term array_const_0D1 : 0.1, array(array_const_0D2, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_0D2 : 0.0, term : 1 + term), term array_const_0D2 : 0.2, array(array_const_0D3, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_0D3 : 0.0, term : 1 + term), term array_const_0D3 : 0.3, array(array_m1, 1 + 1 + max_terms), term : 1, 1 while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term array_m1 : - 1.0, iiif : 0, while iiif <= glob_max_terms do (jjjf : 0, 1 while jjjf <= glob_max_terms do (array_fact_1 : 0, iiif array_fact_2 : 0, jjjf : 1 + jjjf), iiif : 1 + iiif), x_start : 0.1, iiif, jjjf x_end : 5.0, array_y_init : exact_soln_y(x_start), 1 + 0 glob_look_poles : true, glob_max_iter : 1000000, glob_desired_digits_correct : 10, glob_display_interval : 0.001, glob_look_poles : true, glob_max_iter : 10000000, glob_max_minutes : 3, glob_subiter_method : 3, glob_last_good_h : glob_h, glob_max_terms : max_terms, glob_max_sec : convfloat(3600.0) convfloat(glob_max_hours) + convfloat(60.0) convfloat(glob_max_minutes), if glob_h > 0.0 then (glob_neg_h : false, glob_display_interval : omniabs(glob_display_interval)) else (glob_neg_h : true, glob_display_interval : - omniabs(glob_display_interval)), chk_data(), array_y_set_initial : true, 1, 1 array_y_set_initial : false, array_y_set_initial : false, 1, 2 1, 3 array_y_set_initial : false, array_y_set_initial : false, 1, 4 1, 5 array_y_set_initial : false, array_y_set_initial : false, 1, 6 1, 7 array_y_set_initial : false, array_y_set_initial : false, 1, 8 1, 9 array_y_set_initial : false, array_y_set_initial : false, 1, 10 1, 11 array_y_set_initial : false, array_y_set_initial : false, 1, 12 1, 13 array_y_set_initial : false, array_y_set_initial : false, 1, 14 1, 15 array_y_set_initial : false, array_y_set_initial : false, 1, 16 1, 17 array_y_set_initial : false, array_y_set_initial : false, 1, 18 1, 19 array_y_set_initial : false, array_y_set_initial : false, 1, 20 1, 21 array_y_set_initial : false, array_y_set_initial : false, 1, 22 1, 23 array_y_set_initial : false, array_y_set_initial : false, 1, 24 1, 25 array_y_set_initial : false, array_y_set_initial : false, 1, 26 1, 27 array_y_set_initial : false, array_y_set_initial : false, 1, 28 1, 29 array_y_set_initial : false, omniout_str(ALWAYS, "START of Optimize"), 1, 30 glob_check_sign : check_sign(x_start, x_end), glob_h : check_sign(x_start, x_end), if glob_display_interval < glob_h then glob_h : glob_display_interval, if glob_max_h < glob_h then glob_h : glob_max_h, found_h : - 1.0, best_h : 0.0, min_value : glob_large_float, est_answer : est_size_answer(), opt_iter : 1, while (opt_iter <= 20) and (found_h < 0.0) do (omniout_int(ALWAYS, "opt_iter", 32, opt_iter, 4, ""), array_x : x_start, array_x : glob_h, 1 2 glob_next_display : x_start, order_diff : 1, term_no : 1, while term_no <= order_diff do (array_y : term_no array_y_init expt(glob_h, term_no - 1) term_no ---------------------------------------------, term_no : 1 + term_no), factorial_1(term_no - 1) rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1, while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no, array_y_init expt(glob_h, term_no - 1) it array_y_higher : ----------------------------------------, r_order, term_no factorial_1(term_no - 1) term_no : 1 + term_no), r_order : 1 + r_order), atomall(), est_needed_step_err : estimated_needed_step_error(x_start, x_end, glob_h, est_answer), omniout_float(ALWAYS, "est_needed_step_err", 32, est_needed_step_err, 16, ""), value3 : test_suggested_h(), omniout_float(ALWAYS, "value3", 32, value3, 32, ""), if (value3 < est_needed_step_err) and (found_h < 0.0) then (best_h : glob_h, found_h : 1.0), omniout_float(ALWAYS, "best_h", 32, best_h, 32, ""), opt_iter : 1 + opt_iter, glob_h : glob_h 0.5), if found_h > 0.0 then glob_h : best_h else omniout_str(ALWAYS, "No increment to obtain desired accuracy found"), if glob_html_log then html_log_file : openw("html/entry.html"), if found_h > 0.0 then (omniout_str(ALWAYS, "START of Soultion"), array_x : x_start, array_x : glob_h, glob_next_display : x_start, 1 2 order_diff : 1, term_no : 1, while term_no <= order_diff do (array_y : (array_y_init expt(glob_h, term_no - 1)) term_no term_no /factorial_1(term_no - 1), term_no : 1 + term_no), rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1, while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no, array_y_init expt(glob_h, term_no - 1) it array_y_higher : ----------------------------------------, r_order, term_no factorial_1(term_no - 1) term_no : 1 + term_no), r_order : 1 + r_order), current_iter : 1, glob_clock_start_sec : elapsed_time_seconds(), glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 0, glob_iter : 0, omniout_str(DEBUGL, " "), glob_reached_optimal_h : true, glob_optimal_clock_start_sec : elapsed_time_seconds(), while (glob_current_iter < glob_max_iter) and (glob_check_sign array_x < glob_check_sign x_end) 1 and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < convfloat(glob_max_sec)) do (if reached_interval () then (omniout_str(INFO, " "), omniout_str(INFO, "TOP MAIN SOLVE Loop")), glob_iter : 1 + glob_iter, glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 1 + glob_current_iter, atomall(), display_alot(current_iter), if glob_look_poles then check_for_pole(), if reached_interval() then glob_next_display : glob_display_interval + glob_next_display, array_x : glob_h + array_x , 1 1 array_x : glob_h, order_diff : 2, ord : 2, calc_term : 1, 2 iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 2, iii array_y_higher 2, iii --------------------------- expt(glob_h, calc_term - 1) -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 2, calc_term : 1, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term temp_sum expt(glob_h, calc_term - 1) ------------------------------------, ord : 1, calc_term : 2, factorial_1(calc_term - 1) iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii --------------------------- expt(glob_h, calc_term - 1) -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 2, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term temp_sum expt(glob_h, calc_term - 1) ------------------------------------, ord : 1, calc_term : 1, factorial_1(calc_term - 1) iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii --------------------------- expt(glob_h, calc_term - 1) -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 1, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term temp_sum expt(glob_h, calc_term - 1) ------------------------------------, term_no : glob_max_terms, factorial_1(calc_term - 1) while term_no >= 1 do (array_y : array_y_higher_work2 , term_no 1, term_no ord : 1, while ord <= order_diff do (array_y_higher : ord, term_no array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1)), ord, term_no omniout_str(ALWAYS, "Finished!"), if glob_iter >= glob_max_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!"), if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec) then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!"), glob_clock_sec : elapsed_time_seconds(), omniout_str(INFO, "diff ( y , x , 1 )\ = expt((0.1 * x + 0.2) , (0.2 * x + 0.3));"), 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, "2013-01-28T14:08:17-06:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "expt_lin_lin"), logitem_str(html_log_file, "diff ( y , x , 1 ) = expt((0.1 * x + 0.2) , (0.2 * x + 0.3));"), logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end), logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h), 1 logitem_str(html_log_file, "16"), logitem_good_digits(html_log_file, array_last_rel_error ), logitem_integer(html_log_file, glob_max_terms), 1 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) or (array_type_pole = 2) 1 1 then (logitem_float(html_log_file, array_pole ), 1 logitem_float(html_log_file, array_pole ), 0) 2 else (logitem_str(html_log_file, "NA"), logitem_str(html_log_file, "NA"), 0), logitem_time(html_log_file, convfloat(glob_clock_sec)), if glob_percent_done < 100.0 then (logitem_time(html_log_file, convfloat(glob_total_exp_sec)), 0) else (logitem_str(html_log_file, "Done"), 0), log_revs(html_log_file, " 165 "), logitem_str(html_log_file, "expt_lin_lin diffeq.max"), logitem_str(html_log_file, "expt_lin_lin maxima results"), logitem_str(html_log_file, "All Tests - All Languages"), logend(html_log_file)), if glob_html_log then close(html_log_file))) (%o57) main() := block([d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff, term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter, calc_term, iii, temp_sum, current_iter, x_start, x_end, it, max_terms, opt_iter, tmp, subiter, est_needed_step_err, value3, min_value, est_answer, best_h, found_h, repeat_it], define_variable(glob_max_terms, 30, fixnum), define_variable(glob_iolevel, 5, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(INFO, 2, fixnum), define_variable(DEBUGL, 3, fixnum), define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_check_sign, 1.0, float), define_variable(glob_desired_digits_correct, 8.0, float), define_variable(glob_max_value3, 0.0, float), define_variable(glob_ratio_of_radius, 0.01, float), define_variable(glob_percent_done, 0.0, float), define_variable(glob_subiter_method, 3, fixnum), define_variable(glob_total_exp_sec, 0.1, float), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_html_log, true, boolean), define_variable(glob_good_digits, 0, fixnum), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_dump, false, boolean), define_variable(glob_djd_debug, true, boolean), define_variable(glob_display_flag, true, boolean), define_variable(glob_djd_debug2, true, boolean), define_variable(glob_sec_in_minute, 60, fixnum), define_variable(glob_min_in_hour, 60, fixnum), define_variable(glob_hours_in_day, 24, fixnum), define_variable(glob_days_in_year, 365, fixnum), define_variable(glob_sec_in_hour, 3600, fixnum), define_variable(glob_sec_in_day, 86400, fixnum), define_variable(glob_sec_in_year, 31536000, fixnum), define_variable(glob_almost_1, 0.999, float), define_variable(glob_clock_sec, 0.0, float), define_variable(glob_clock_start_sec, 0.0, float), define_variable(glob_not_yet_finished, true, boolean), define_variable(glob_initial_pass, true, boolean), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(glob_reached_optimal_h, false, boolean), define_variable(glob_optimal_done, false, boolean), define_variable(glob_disp_incr, 0.1, float), define_variable(glob_h, 0.1, float), define_variable(glob_max_h, 0.1, float), define_variable(glob_large_float, 9.0E+100, float), define_variable(glob_last_good_h, 0.1, float), define_variable(glob_look_poles, false, boolean), define_variable(glob_neg_h, false, boolean), define_variable(glob_display_interval, 0.0, float), define_variable(glob_next_display, 0.0, float), define_variable(glob_dump_analytic, false, boolean), define_variable(glob_abserr, 1.0E-11, float), define_variable(glob_relerr, 1.0E-11, float), define_variable(glob_max_hours, 0.0, float), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_no_eqs, 0, fixnum), define_variable(glob_optimal_clock_start_sec, 0.0, float), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_small_float, 1.0E-201, float), define_variable(glob_smallish_float, 1.0E-101, float), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_warned, false, boolean), define_variable(glob_warned2, false, boolean), define_variable(glob_max_sec, 10000.0, float), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_start, 0, fixnum), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_current_iter, 0, fixnum), define_variable(glob_iter, 0, fixnum), define_variable(glob_normmax, 0.0, float), define_variable(glob_max_minutes, 0.0, float), ALWAYS : 1, INFO : 2, DEBUGL : 3, DEBUGMASSIVE : 4, glob_iolevel : INFO, glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10, glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1, glob_iter : - 1, opt_iter : - 1, glob_max_iter : 50000, glob_max_hours : 0.0, glob_max_minutes : 15.0, omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"), omniout_str(ALWAYS, "######\ ########temp/expt_lin_linpostode.ode#################"), omniout_str(ALWAYS, "\ diff ( y , x , 1 ) = expt((0.1 * x + 0.2) , (0.2 * x + 0.3));"), 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:5.0,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS, "glob_look_poles:true,"), omniout_str(ALWAYS, "glob_max_iter:1000000,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_desired_digits_correct:10,"), omniout_str(ALWAYS, "glob_display_interval:0.001,"), omniout_str(ALWAYS, "glob_look_poles:true,"), omniout_str(ALWAYS, "glob_max_iter:10000000,"), omniout_str(ALWAYS, "glob_max_minutes:3,"), omniout_str(ALWAYS, "glob_subiter_method:3,"), omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"), omniout_str(ALWAYS, "exact_soln_y (x) := (block("), omniout_str(ALWAYS, " (0.0 ) "), 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 : 1.0E+100, glob_almost_1 : 0.99, Digits : 32, max_terms : 30, glob_max_terms : max_terms, glob_html_log : true, array(array_y_init, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_fact_1, 1 + max_terms), array(array_pole, 1 + max_terms), array(array_1st_rel_error, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_type_pole, 1 + max_terms), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms), array(array_tmp3, 1 + max_terms), array(array_tmp4, 1 + max_terms), array(array_tmp5_c1, 1 + max_terms), array(array_tmp5_a1, 1 + max_terms), array(array_tmp5_a2, 1 + max_terms), array(array_tmp5, 1 + max_terms), array(array_tmp6, 1 + max_terms), array(array_m1, 1 + max_terms), array(array_y_higher, 1 + 2, 1 + max_terms), array(array_y_higher_work, 1 + 2, 1 + max_terms), array(array_y_higher_work2, 1 + 2, 1 + max_terms), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_poles, 1 + 1, 1 + 3), array(array_real_pole, 1 + 1, 1 + 3), array(array_complex_pole, 1 + 1, 1 + 3), array(array_fact_2, 1 + max_terms, 1 + max_terms), term : 1, while term <= max_terms do (array_y_init : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_norms : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_fact_1 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_pole : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_last_rel_error : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_type_pole : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_y : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_x : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp3 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp4 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp5_c1 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp5_a1 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_tmp5_a2 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp5 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp6 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_m1 : 0.0, term : 1 + term), ord : 1, term while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work2 : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_set_initial : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_real_pole : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_complex_pole : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= max_terms do (term : 1, while term <= max_terms do (array_fact_2 : 0.0, term : 1 + term), ord, term ord : 1 + ord), array(array_y, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term), term array(array_x, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term), term array(array_tmp0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term), term array(array_tmp1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term), term array(array_tmp2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term), term array(array_tmp3, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp3 : 0.0, term : 1 + term), term array(array_tmp4, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp4 : 0.0, term : 1 + term), term array(array_tmp5_c1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp5_c1 : 0.0, term : 1 + term), term array(array_tmp5_a1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp5_a1 : 0.0, term : 1 + term), term array(array_tmp5_a2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp5_a2 : 0.0, term : 1 + term), term array(array_tmp5, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp5 : 0.0, term : 1 + term), term array(array_tmp6, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp6 : 0.0, term : 1 + term), term array(array_m1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_m1 : 0.0, term : 1 + term), term array(array_const_1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term), term array_const_1 : 1, array(array_const_0D0, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term), term array_const_0D0 : 0.0, array(array_const_0D1, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_0D1 : 0.0, term : 1 + term), term array_const_0D1 : 0.1, array(array_const_0D2, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_0D2 : 0.0, term : 1 + term), term array_const_0D2 : 0.2, array(array_const_0D3, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_0D3 : 0.0, term : 1 + term), term array_const_0D3 : 0.3, array(array_m1, 1 + 1 + max_terms), term : 1, 1 while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term array_m1 : - 1.0, iiif : 0, while iiif <= glob_max_terms do (jjjf : 0, 1 while jjjf <= glob_max_terms do (array_fact_1 : 0, iiif array_fact_2 : 0, jjjf : 1 + jjjf), iiif : 1 + iiif), x_start : 0.1, iiif, jjjf x_end : 5.0, array_y_init : exact_soln_y(x_start), 1 + 0 glob_look_poles : true, glob_max_iter : 1000000, glob_desired_digits_correct : 10, glob_display_interval : 0.001, glob_look_poles : true, glob_max_iter : 10000000, glob_max_minutes : 3, glob_subiter_method : 3, glob_last_good_h : glob_h, glob_max_terms : max_terms, glob_max_sec : convfloat(3600.0) convfloat(glob_max_hours) + convfloat(60.0) convfloat(glob_max_minutes), if glob_h > 0.0 then (glob_neg_h : false, glob_display_interval : omniabs(glob_display_interval)) else (glob_neg_h : true, glob_display_interval : - omniabs(glob_display_interval)), chk_data(), array_y_set_initial : true, 1, 1 array_y_set_initial : false, array_y_set_initial : false, 1, 2 1, 3 array_y_set_initial : false, array_y_set_initial : false, 1, 4 1, 5 array_y_set_initial : false, array_y_set_initial : false, 1, 6 1, 7 array_y_set_initial : false, array_y_set_initial : false, 1, 8 1, 9 array_y_set_initial : false, array_y_set_initial : false, 1, 10 1, 11 array_y_set_initial : false, array_y_set_initial : false, 1, 12 1, 13 array_y_set_initial : false, array_y_set_initial : false, 1, 14 1, 15 array_y_set_initial : false, array_y_set_initial : false, 1, 16 1, 17 array_y_set_initial : false, array_y_set_initial : false, 1, 18 1, 19 array_y_set_initial : false, array_y_set_initial : false, 1, 20 1, 21 array_y_set_initial : false, array_y_set_initial : false, 1, 22 1, 23 array_y_set_initial : false, array_y_set_initial : false, 1, 24 1, 25 array_y_set_initial : false, array_y_set_initial : false, 1, 26 1, 27 array_y_set_initial : false, array_y_set_initial : false, 1, 28 1, 29 array_y_set_initial : false, omniout_str(ALWAYS, "START of Optimize"), 1, 30 glob_check_sign : check_sign(x_start, x_end), glob_h : check_sign(x_start, x_end), if glob_display_interval < glob_h then glob_h : glob_display_interval, if glob_max_h < glob_h then glob_h : glob_max_h, found_h : - 1.0, best_h : 0.0, min_value : glob_large_float, est_answer : est_size_answer(), opt_iter : 1, while (opt_iter <= 20) and (found_h < 0.0) do (omniout_int(ALWAYS, "opt_iter", 32, opt_iter, 4, ""), array_x : x_start, array_x : glob_h, 1 2 glob_next_display : x_start, order_diff : 1, term_no : 1, while term_no <= order_diff do (array_y : term_no array_y_init expt(glob_h, term_no - 1) term_no ---------------------------------------------, term_no : 1 + term_no), factorial_1(term_no - 1) rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1, while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no, array_y_init expt(glob_h, term_no - 1) it array_y_higher : ----------------------------------------, r_order, term_no factorial_1(term_no - 1) term_no : 1 + term_no), r_order : 1 + r_order), atomall(), est_needed_step_err : estimated_needed_step_error(x_start, x_end, glob_h, est_answer), omniout_float(ALWAYS, "est_needed_step_err", 32, est_needed_step_err, 16, ""), value3 : test_suggested_h(), omniout_float(ALWAYS, "value3", 32, value3, 32, ""), if (value3 < est_needed_step_err) and (found_h < 0.0) then (best_h : glob_h, found_h : 1.0), omniout_float(ALWAYS, "best_h", 32, best_h, 32, ""), opt_iter : 1 + opt_iter, glob_h : glob_h 0.5), if found_h > 0.0 then glob_h : best_h else omniout_str(ALWAYS, "No increment to obtain desired accuracy found"), if glob_html_log then html_log_file : openw("html/entry.html"), if found_h > 0.0 then (omniout_str(ALWAYS, "START of Soultion"), array_x : x_start, array_x : glob_h, glob_next_display : x_start, 1 2 order_diff : 1, term_no : 1, while term_no <= order_diff do (array_y : (array_y_init expt(glob_h, term_no - 1)) term_no term_no /factorial_1(term_no - 1), term_no : 1 + term_no), rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1, while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no, array_y_init expt(glob_h, term_no - 1) it array_y_higher : ----------------------------------------, r_order, term_no factorial_1(term_no - 1) term_no : 1 + term_no), r_order : 1 + r_order), current_iter : 1, glob_clock_start_sec : elapsed_time_seconds(), glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 0, glob_iter : 0, omniout_str(DEBUGL, " "), glob_reached_optimal_h : true, glob_optimal_clock_start_sec : elapsed_time_seconds(), while (glob_current_iter < glob_max_iter) and (glob_check_sign array_x < glob_check_sign x_end) 1 and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < convfloat(glob_max_sec)) do (if reached_interval () then (omniout_str(INFO, " "), omniout_str(INFO, "TOP MAIN SOLVE Loop")), glob_iter : 1 + glob_iter, glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 1 + glob_current_iter, atomall(), display_alot(current_iter), if glob_look_poles then check_for_pole(), if reached_interval() then glob_next_display : glob_display_interval + glob_next_display, array_x : glob_h + array_x , 1 1 array_x : glob_h, order_diff : 2, ord : 2, calc_term : 1, 2 iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 2, iii array_y_higher 2, iii --------------------------- expt(glob_h, calc_term - 1) -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 2, calc_term : 1, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term temp_sum expt(glob_h, calc_term - 1) ------------------------------------, ord : 1, calc_term : 2, factorial_1(calc_term - 1) iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii --------------------------- expt(glob_h, calc_term - 1) -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 2, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term temp_sum expt(glob_h, calc_term - 1) ------------------------------------, ord : 1, calc_term : 1, factorial_1(calc_term - 1) iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii --------------------------- expt(glob_h, calc_term - 1) -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 1, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term temp_sum expt(glob_h, calc_term - 1) ------------------------------------, term_no : glob_max_terms, factorial_1(calc_term - 1) while term_no >= 1 do (array_y : array_y_higher_work2 , term_no 1, term_no ord : 1, while ord <= order_diff do (array_y_higher : ord, term_no array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1)), ord, term_no omniout_str(ALWAYS, "Finished!"), if glob_iter >= glob_max_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!"), if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec) then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!"), glob_clock_sec : elapsed_time_seconds(), omniout_str(INFO, "diff ( y , x , 1 )\ = expt((0.1 * x + 0.2) , (0.2 * x + 0.3));"), 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, "2013-01-28T14:08:17-06:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "expt_lin_lin"), logitem_str(html_log_file, "diff ( y , x , 1 ) = expt((0.1 * x + 0.2) , (0.2 * x + 0.3));"), logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end), logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h), 1 logitem_str(html_log_file, "16"), logitem_good_digits(html_log_file, array_last_rel_error ), logitem_integer(html_log_file, glob_max_terms), 1 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) or (array_type_pole = 2) 1 1 then (logitem_float(html_log_file, array_pole ), 1 logitem_float(html_log_file, array_pole ), 0) 2 else (logitem_str(html_log_file, "NA"), logitem_str(html_log_file, "NA"), 0), logitem_time(html_log_file, convfloat(glob_clock_sec)), if glob_percent_done < 100.0 then (logitem_time(html_log_file, convfloat(glob_total_exp_sec)), 0) else (logitem_str(html_log_file, "Done"), 0), log_revs(html_log_file, " 165 "), logitem_str(html_log_file, "expt_lin_lin diffeq.max"), logitem_str(html_log_file, "expt_lin_lin maxima results"), logitem_str(html_log_file, "All Tests - All Languages"), logend(html_log_file)), if glob_html_log then close(html_log_file))) (%i58) main() "##############ECHO OF PROBLEM#################" "##############temp/expt_lin_linpostode.ode#################" "diff ( y , x , 1 ) = expt((0.1 * x + 0.2) , (0.2 * x + 0.3));" "!" "/* BEGIN FIRST INPUT BLOCK */" "Digits:32," "max_terms:30," "!" "/* END FIRST INPUT BLOCK */" "/* BEGIN SECOND INPUT BLOCK */" "x_start:0.1," "x_end:5.0," "array_y_init[0 + 1] : exact_soln_y(x_start)," "glob_look_poles:true," "glob_max_iter:1000000," "/* END SECOND INPUT BLOCK */" "/* BEGIN OVERRIDE BLOCK */" "glob_desired_digits_correct:10," "glob_display_interval:0.001," "glob_look_poles:true," "glob_max_iter:10000000," "glob_max_minutes:3," "glob_subiter_method:3," "/* END OVERRIDE BLOCK */" "!" "/* BEGIN USER DEF BLOCK */" "exact_soln_y (x) := (block(" " (0.0 ) " "));" "/* END USER DEF BLOCK */" "#######END OF ECHO OF PROBLEM#################" "START of Optimize" min_size = 0.0 "" min_size = 1. "" opt_iter = 1 glob_desired_digits_correct = 10. "" desired_abs_gbl_error = 1.0000000000E-10 "" range = 4.9 "" estimated_steps = 4900. "" step_error = 2.040816326530612300000000000000E-14 "" est_needed_step_err = 2.040816326530612300000000000000E-14 "" hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" value3 = 3.43447833454607050000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-118 "" max_value3 = 3.43447833454607050000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-118 "" value3 = 3.43447833454607050000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-118 "" best_h = 1.000E-3 "" "START of Soultion" " " "TOP MAIN SOLVE Loop" x[1] = 0.1 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.0 " " absolute error = 0.0 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.101 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 6.0684180903580050000E-4 " " absolute error = 6.0684180903580050000E-4 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.10200000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 1.2135867552055964000E-3 " " absolute error = 1.2135867552055964000E-3 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.10300000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 1.8202349254417860000E-3 " " absolute error = 1.8202349254417860000E-3 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.10400000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 2.4267864065995845000E-3 " " absolute error = 2.4267864065995845000E-3 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.10500000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 3.0332412854571283000E-3 " " absolute error = 3.0332412854571283000E-3 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.10600000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 3.639599648715585000E-3 " " absolute error = 3.639599648715585000E-3 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.10700000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 4.2458615829992574000E-3 " " absolute error = 4.2458615829992574000E-3 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.10800000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 4.852027174855691500E-3 " " absolute error = 4.852027174855691500E-3 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.10900000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 5.458096510755783000E-3 " " absolute error = 5.458096510755783000E-3 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.11000000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 6.064069677093882000E-3 " " absolute error = 6.064069677093882000E-3 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.11100000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 6.669946760187900000E-3 " " absolute error = 6.669946760187900000E-3 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.11200000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 7.275727846279420000E-3 " " absolute error = 7.275727846279420000E-3 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.11300000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 7.881413021533789000E-3 " " absolute error = 7.881413021533789000E-3 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.11400000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 8.48700237204024000E-3 " " absolute error = 8.48700237204024000E-3 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.11500000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 9.092495983811985000E-3 " " absolute error = 9.092495983811985000E-3 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.11600000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 9.697893942786324000E-3 " " absolute error = 9.697893942786324000E-3 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.11700000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 1.030319633482475500E-2 " " absolute error = 1.030319633482475500E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.11800000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 1.09084032457130700E-2 " " absolute error = 1.09084032457130700E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.11900000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 1.151351476116146300E-2 " " absolute error = 1.151351476116146300E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.12000000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 1.211853096680463600E-2 " " absolute error = 1.211853096680463600E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.12100000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 1.272345194820190000E-2 " " absolute error = 1.272345194820190000E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.12200000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 1.332827779083728700E-2 " " absolute error = 1.332827779083728700E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.12300000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 1.393300858011963800E-2 " " absolute error = 1.393300858011963800E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.12400000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 1.45376444013827180E-2 " " absolute error = 1.45376444013827180E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.12500000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 1.514218533988532800E-2 " " absolute error = 1.514218533988532800E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.12600000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 1.574663148081138500E-2 " " absolute error = 1.574663148081138500E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.12700000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 1.63509829092700400E-2 " " absolute error = 1.63509829092700400E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.12800000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 1.695523971029578300E-2 " " absolute error = 1.695523971029578300E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.12900000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 1.755940196884854300E-2 " " absolute error = 1.755940196884854300E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.13000000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 1.816346976981377300E-2 " " absolute error = 1.816346976981377300E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.13100000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 1.876744319800258700E-2 " " absolute error = 1.876744319800258700E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.13200000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 1.937132233815183600E-2 " " absolute error = 1.937132233815183600E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.13300000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 1.997510727492421400E-2 " " absolute error = 1.997510727492421400E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.13400000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 2.057879809290836200E-2 " " absolute error = 2.057879809290836200E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.13500000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 2.11823948766189800E-2 " " absolute error = 2.11823948766189800E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.13600000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 2.178589771049690700E-2 " " absolute error = 2.178589771049690700E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.13700000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 2.23893066789092380E-2 " " absolute error = 2.23893066789092380E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.13800000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 2.299262186614942600E-2 " " absolute error = 2.299262186614942600E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.13900000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 2.35958433564373700E-2 " " absolute error = 2.35958433564373700E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.14000000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 2.41989712339195300E-2 " " absolute error = 2.41989712339195300E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.14100000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 2.480200558266901500E-2 " " absolute error = 2.480200558266901500E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.14200000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 2.5404946486685700E-2 " " absolute error = 2.5404946486685700E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.14300000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 2.600779402989630300E-2 " " absolute error = 2.600779402989630300E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.14400000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 2.66105482961545070E-2 " " absolute error = 2.66105482961545070E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.14500000000000005 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 2.72132093692410500E-2 " " absolute error = 2.72132093692410500E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.14600000000000005 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 2.781577733286381700E-2 " " absolute error = 2.781577733286381700E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.14700000000000005 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 2.841825227065795000E-2 " " absolute error = 2.841825227065795000E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.14800000000000005 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 2.90206342661859600E-2 " " absolute error = 2.90206342661859600E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.14900000000000005 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 2.96229234029377900E-2 " " absolute error = 2.96229234029377900E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.15000000000000005 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 3.022511976433095000E-2 " " absolute error = 3.022511976433095000E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.15100000000000005 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 3.08272234337105900E-2 " " absolute error = 3.08272234337105900E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.15200000000000005 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 3.14292344943496170E-2 " " absolute error = 3.14292344943496170E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.15300000000000005 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 3.20311530294487900E-2 " " absolute error = 3.20311530294487900E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.15400000000000005 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 3.26329791221368070E-2 " " absolute error = 3.26329791221368070E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.15500000000000005 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 3.32347128554704100E-2 " " absolute error = 3.32347128554704100E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.15600000000000006 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 3.38363543124344800E-2 " " absolute error = 3.38363543124344800E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.15700000000000006 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 3.443790357594215000E-2 " " absolute error = 3.443790357594215000E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.15800000000000006 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 3.503936072883489500E-2 " " absolute error = 3.503936072883489500E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.15900000000000006 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 3.564072585388259300E-2 " " absolute error = 3.564072585388259300E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.16000000000000006 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 3.624199903378369500E-2 " " absolute error = 3.624199903378369500E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.16100000000000006 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 3.68431803511652500E-2 " " absolute error = 3.68431803511652500E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.16200000000000006 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 3.744426988858306500E-2 " " absolute error = 3.744426988858306500E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.16300000000000006 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 3.80452677285217370E-2 " " absolute error = 3.80452677285217370E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.16400000000000006 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 3.8646173953394800E-2 " " absolute error = 3.8646173953394800E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.16500000000000006 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 3.92469886455448100E-2 " " absolute error = 3.92469886455448100E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.16600000000000006 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 3.984771188724342500E-2 " " absolute error = 3.984771188724342500E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.16700000000000007 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 4.044834376069151300E-2 " " absolute error = 4.044834376069151300E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.16800000000000007 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 4.10488843480192540E-2 " " absolute error = 4.10488843480192540E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.16900000000000007 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 4.16493337312862200E-2 " " absolute error = 4.16493337312862200E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.17000000000000007 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 4.22496919924814900E-2 " " absolute error = 4.22496919924814900E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.17100000000000007 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 4.28499592135237200E-2 " " absolute error = 4.28499592135237200E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.17200000000000007 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 4.34501354762612650E-2 " " absolute error = 4.34501354762612650E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.17300000000000007 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 4.40502208624722600E-2 " " absolute error = 4.40502208624722600E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.17400000000000007 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 4.46502154538647100E-2 " " absolute error = 4.46502154538647100E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.17500000000000007 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 4.5250119332076600E-2 " " absolute error = 4.5250119332076600E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.17600000000000007 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 4.58499325786759800E-2 " " absolute error = 4.58499325786759800E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.17700000000000007 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 4.64496552751610500E-2 " " absolute error = 4.64496552751610500E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.17800000000000007 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 4.70492875029602850E-2 " " absolute error = 4.70492875029602850E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.17900000000000008 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 4.764882934343249700E-2 " " absolute error = 4.764882934343249700E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.18000000000000008 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 4.824828087786693400E-2 " " absolute error = 4.824828087786693400E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.18100000000000008 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 4.88476421874834100E-2 " " absolute error = 4.88476421874834100E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.18200000000000008 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 4.944691335343233000E-2 " " absolute error = 4.944691335343233000E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.18300000000000008 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 5.004609445679487000E-2 " " absolute error = 5.004609445679487000E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.18400000000000008 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 5.06451855785829700E-2 " " absolute error = 5.06451855785829700E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.18500000000000008 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 5.12441867997395200E-2 " " absolute error = 5.12441867997395200E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.18600000000000008 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 5.18430982011384000E-2 " " absolute error = 5.18430982011384000E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.18700000000000008 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 5.24419198635846100E-2 " " absolute error = 5.24419198635846100E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.18800000000000008 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 5.3040651867814300E-2 " " absolute error = 5.3040651867814300E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.18900000000000008 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 5.363929429449492000E-2 " " absolute error = 5.363929429449492000E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.19000000000000009 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 5.42378472242253200E-2 " " absolute error = 5.42378472242253200E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.1910000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 5.48363107375357700E-2 " " absolute error = 5.48363107375357700E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.1920000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 5.54346849148881200E-2 " " absolute error = 5.54346849148881200E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.1930000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 5.60329698366758900E-2 " " absolute error = 5.60329698366758900E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.1940000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 5.66311655832243200E-2 " " absolute error = 5.66311655832243200E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.1950000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 5.72292722347904800E-2 " " absolute error = 5.72292722347904800E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.1960000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 5.7827289871563400E-2 " " absolute error = 5.7827289871563400E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.1970000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 5.84252185736640800E-2 " " absolute error = 5.84252185736640800E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.1980000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 5.90230584211456600E-2 " " absolute error = 5.90230584211456600E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.1990000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 5.962080949399348000E-2 " " absolute error = 5.962080949399348000E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2000000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 6.02184718721251300E-2 " " absolute error = 6.02184718721251300E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2010000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 6.081604563539066000E-2 " " absolute error = 6.081604563539066000E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2020000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 6.1413530863572500E-2 " " absolute error = 6.1413530863572500E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2030000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 6.2010927636385700E-2 " " absolute error = 6.2010927636385700E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2040000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 6.26082360334779600E-2 " " absolute error = 6.26082360334779600E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2050000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 6.32054561344296800E-2 " " absolute error = 6.32054561344296800E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2060000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 6.38025880187541500E-2 " " absolute error = 6.38025880187541500E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2070000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 6.43996317658975200E-2 " " absolute error = 6.43996317658975200E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2080000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 6.49965874552390100E-2 " " absolute error = 6.49965874552390100E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2090000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 6.5593455166090900E-2 " " absolute error = 6.5593455166090900E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2100000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 6.61902349776986900E-2 " " absolute error = 6.61902349776986900E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2110000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 6.67869269692411100E-2 " " absolute error = 6.67869269692411100E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2120000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 6.73835312198303300E-2 " " absolute error = 6.73835312198303300E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2130000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 6.79800478085119200E-2 " " absolute error = 6.79800478085119200E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2140000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 6.85764768142650300E-2 " " absolute error = 6.85764768142650300E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2150000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 6.91728183160024200E-2 " " absolute error = 6.91728183160024200E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2160000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 6.97690723925705700E-2 " " absolute error = 6.97690723925705700E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2170000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 7.0365239122749810E-2 " " absolute error = 7.0365239122749810E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2180000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 7.09613185852543200E-2 " " absolute error = 7.09613185852543200E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2190000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 7.15573108587322900E-2 " " absolute error = 7.15573108587322900E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2200000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 7.21532160217660100E-2 " " absolute error = 7.21532160217660100E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2210000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 7.2749034152871900E-2 " " absolute error = 7.2749034152871900E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.22200000000000011 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 7.33447653305006200E-2 " " absolute error = 7.33447653305006200E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.22300000000000011 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 7.3940409633037210E-2 " " absolute error = 7.3940409633037210E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.22400000000000012 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 7.45359671388010800E-2 " " absolute error = 7.45359671388010800E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.22500000000000012 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 7.51314379260462400E-2 " " absolute error = 7.51314379260462400E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.22600000000000012 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 7.57268220729612000E-2 " " absolute error = 7.57268220729612000E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.22700000000000012 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 7.63221196576692000E-2 " " absolute error = 7.63221196576692000E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.22800000000000012 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 7.69173307582282500E-2 " " absolute error = 7.69173307582282500E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.22900000000000012 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 7.75124554526312500E-2 " " absolute error = 7.75124554526312500E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.23000000000000012 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 7.81074938188059800E-2 " " absolute error = 7.81074938188059800E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.23100000000000012 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 7.87024459346153100E-2 " " absolute error = 7.87024459346153100E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.23200000000000012 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 7.9297311877857200E-2 " " absolute error = 7.9297311877857200E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.23300000000000012 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 7.98920917262648100E-2 " " absolute error = 7.98920917262648100E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.23400000000000012 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 8.04867855575066100E-2 " " absolute error = 8.04867855575066100E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.23500000000000013 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 8.10813934491864300E-2 " " absolute error = 8.10813934491864300E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.23600000000000013 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 8.16759154788435700E-2 " " absolute error = 8.16759154788435700E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.23700000000000013 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 8.22703517239528600E-2 " " absolute error = 8.22703517239528600E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.23800000000000013 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 8.28647022619247700E-2 " " absolute error = 8.28647022619247700E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.23900000000000013 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 8.3458967170105490E-2 " " absolute error = 8.3458967170105490E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.24000000000000013 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 8.40531465257770200E-2 " " absolute error = 8.40531465257770200E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.24100000000000013 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 8.46472404061572300E-2 " " absolute error = 8.46472404061572300E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.24200000000000013 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 8.52412488883999600E-2 " " absolute error = 8.52412488883999600E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.24300000000000013 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 8.58351720495951100E-2 " " absolute error = 8.58351720495951100E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.24400000000000013 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 8.64290099667687200E-2 " " absolute error = 8.64290099667687200E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.24500000000000013 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 8.70227627168830700E-2 " " absolute error = 8.70227627168830700E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.24600000000000014 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 8.76164303768367300E-2 " " absolute error = 8.76164303768367300E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.24700000000000014 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 8.82100130234646500E-2 " " absolute error = 8.82100130234646500E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.24800000000000014 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 8.88035107335382700E-2 " " absolute error = 8.88035107335382700E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.24900000000000014 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 8.93969235837656100E-2 " " absolute error = 8.93969235837656100E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2500000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 8.99902516507912900E-2 " " absolute error = 8.99902516507912900E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2510000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 9.0583495011196690E-2 " " absolute error = 9.0583495011196690E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2520000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 9.1176653741500E-2 " " absolute error = 9.1176653741500E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2530000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 9.17697279181562700E-2 " " absolute error = 9.17697279181562700E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2540000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 9.23627176175575500E-2 " " absolute error = 9.23627176175575500E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2550000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 9.29556229160329700E-2 " " absolute error = 9.29556229160329700E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2560000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 9.35484438898487300E-2 " " absolute error = 9.35484438898487300E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2570000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 9.41411806152083500E-2 " " absolute error = 9.41411806152083500E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2580000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 9.47338331682525800E-2 " " absolute error = 9.47338331682525800E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2590000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 9.53264016250595900E-2 " " absolute error = 9.53264016250595900E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2600000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 9.59188860616450300E-2 " " absolute error = 9.59188860616450300E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2610000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 9.65112865539620700E-2 " " absolute error = 9.65112865539620700E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2620000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 9.71036031779015500E-2 " " absolute error = 9.71036031779015500E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2630000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 9.769583600929200E-2 " " absolute error = 9.769583600929200E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2640000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 9.82879851238997800E-2 " " absolute error = 9.82879851238997800E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2650000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 9.88800505974290600E-2 " " absolute error = 9.88800505974290600E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2660000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 9.94720325055220700E-2 " " absolute error = 9.94720325055220700E-2 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2670000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.10006393092375901 " " absolute error = 0.10006393092375901 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2680000000000001 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.10065574592765823 " " absolute error = 0.10065574592765823 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.26900000000000013 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.10124747759267627 " " absolute error = 0.10124747759267627 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.27000000000000013 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.10183912599420798 " " absolute error = 0.10183912599420798 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.27100000000000013 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.10243069120758655 " " absolute error = 0.10243069120758655 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.27200000000000013 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.10302217330808362 " " absolute error = 0.10302217330808362 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.27300000000000013 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.10361357237090939 " " absolute error = 0.10361357237090939 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.27400000000000013 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.10420488847121262 " " absolute error = 0.10420488847121262 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.27500000000000013 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.10479612168408078 " " absolute error = 0.10479612168408078 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.27600000000000013 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.10538727208454012 " " absolute error = 0.10538727208454012 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.27700000000000014 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.10597833974755569 " " absolute error = 0.10597833974755569 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.27800000000000014 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.10656932474803152 " " absolute error = 0.10656932474803152 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.27900000000000014 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.10716022716081063 " " absolute error = 0.10716022716081063 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.28000000000000014 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1077510470606751 " " absolute error = 0.1077510470606751 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.28100000000000014 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.10834178452234623 " " absolute error = 0.10834178452234623 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.28200000000000014 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.10893243962048452 " " absolute error = 0.10893243962048452 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.28300000000000014 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1095230124296898 " " absolute error = 0.1095230124296898 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.28400000000000014 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1101135030245013 " " absolute error = 0.1101135030245013 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.28500000000000014 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.11070391147939777 " " absolute error = 0.11070391147939777 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.28600000000000014 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.11129423786879747 " " absolute error = 0.11129423786879747 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.28700000000000014 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.11188448226705833 " " absolute error = 0.11188448226705833 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.28800000000000014 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.11247464474847797 " " absolute error = 0.11247464474847797 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.28900000000000015 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.11306472538729384 " " absolute error = 0.11306472538729384 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.29000000000000015 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.11365472425768325 " " absolute error = 0.11365472425768325 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.29100000000000015 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.11424464143376345 " " absolute error = 0.11424464143376345 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.29200000000000015 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.11483447698959175 " " absolute error = 0.11483447698959175 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.29300000000000015 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.11542423099916552 " " absolute error = 0.11542423099916552 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.29400000000000015 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.11601390353642237 " " absolute error = 0.11601390353642237 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.29500000000000015 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.11660349467524013 " " absolute error = 0.11660349467524013 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.29600000000000015 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.117193004489437 " " absolute error = 0.117193004489437 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.29700000000000015 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.11778243305277157 " " absolute error = 0.11778243305277157 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.29800000000000015 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.11837178043894296 " " absolute error = 0.11837178043894296 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.29900000000000015 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.11896104672159084 " " absolute error = 0.11896104672159084 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.30000000000000016 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.11955023197429553 " " absolute error = 0.11955023197429553 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.30100000000000016 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.12013933627057807 " " absolute error = 0.12013933627057807 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.30200000000000016 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.12072835968390033 " " absolute error = 0.12072835968390033 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.30300000000000016 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.12131730228766505 " " absolute error = 0.12131730228766505 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.30400000000000016 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1219061641552159 " " absolute error = 0.1219061641552159 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.30500000000000016 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1224949453598376 " " absolute error = 0.1224949453598376 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.30600000000000016 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.12308364597475599 " " absolute error = 0.12308364597475599 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.30700000000000016 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.12367226607313808 " " absolute error = 0.12367226607313808 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.30800000000000016 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.12426080572809214 " " absolute error = 0.12426080572809214 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.30900000000000016 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1248492650126678 " " absolute error = 0.1248492650126678 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.31000000000000016 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.12543764399985605 " " absolute error = 0.12543764399985605 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.31100000000000017 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.12602594276258944 " " absolute error = 0.12602594276258944 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.31200000000000017 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.126614161373742 " " absolute error = 0.126614161373742 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.31300000000000017 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1272022999061295 " " absolute error = 0.1272022999061295 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.31400000000000017 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1277903584325093 " " absolute error = 0.1277903584325093 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.31500000000000017 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.12837833702558066 " " absolute error = 0.12837833702558066 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.31600000000000017 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.12896623575798466 " " absolute error = 0.12896623575798466 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.31700000000000017 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1295540547023043 " " absolute error = 0.1295540547023043 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.31800000000000017 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.13014179393106462 " " absolute error = 0.13014179393106462 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3190000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.13072945351673274 " " absolute error = 0.13072945351673274 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3200000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.13131703353171795 " " absolute error = 0.13131703353171795 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3210000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.13190453404837174 " " absolute error = 0.13190453404837174 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3220000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.13249195513898798 " " absolute error = 0.13249195513898798 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3230000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1330792968758029 " " absolute error = 0.1330792968758029 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3240000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1336665593309951 " " absolute error = 0.1336665593309951 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3250000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.13425374257668587 " " absolute error = 0.13425374257668587 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3260000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.13484084668493898 " " absolute error = 0.13484084668493898 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3270000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.13542787172776094 " " absolute error = 0.13542787172776094 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3280000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.13601481777710103 " " absolute error = 0.13601481777710103 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3290000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1366016849048513 " " absolute error = 0.1366016849048513 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3300000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.13718847318284674 " " absolute error = 0.13718847318284674 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3310000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.13777518268286532 " " absolute error = 0.13777518268286532 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3320000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.13836181347662801 " " absolute error = 0.13836181347662801 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3330000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.13894836563579896 " " absolute error = 0.13894836563579896 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3340000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.13953483923198548 " " absolute error = 0.13953483923198548 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3350000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.14012123433673818 " " absolute error = 0.14012123433673818 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3360000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.14070755102155094 " " absolute error = 0.14070755102155094 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3370000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.14129378935786113 " " absolute error = 0.14129378935786113 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3380000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.14187994941704957 " " absolute error = 0.14187994941704957 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3390000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1424660312704406 " " absolute error = 0.1424660312704406 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3400000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.14305203498930225 " " absolute error = 0.14305203498930225 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3410000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.14363796064484619 " " absolute error = 0.14363796064484619 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3420000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.14422380830822792 " " absolute error = 0.14422380830822792 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3430000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.14480957805054676 " " absolute error = 0.14480957805054676 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3440000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.14539526994284593 " " absolute error = 0.14539526994284593 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3450000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.14598088405611268 " " absolute error = 0.14598088405611268 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3460000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.14656642046127827 " " absolute error = 0.14656642046127827 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3470000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1471518792292181 " " absolute error = 0.1471518792292181 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3480000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.14773726043075178 " " absolute error = 0.14773726043075178 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3490000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.14832256413664321 " " absolute error = 0.14832256413664321 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3500000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1489077904176006 " " absolute error = 0.1489077904176006 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3510000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.14949293934427663 " " absolute error = 0.14949293934427663 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3520000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.15007801098726836 " " absolute error = 0.15007801098726836 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3530000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.15066300541711752 " " absolute error = 0.15066300541711752 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3540000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.15124792270431042 " " absolute error = 0.15124792270431042 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3550000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.15183276291927802 " " absolute error = 0.15183276291927802 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3560000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.15241752613239615 " " absolute error = 0.15241752613239615 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3570000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.15300221241398537 " " absolute error = 0.15300221241398537 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3580000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.15358682183431122 " " absolute error = 0.15358682183431122 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3590000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.15417135446358418 " " absolute error = 0.15417135446358418 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3600000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.15475581037195982 " " absolute error = 0.15475581037195982 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3610000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.15534018962953877 " " absolute error = 0.15534018962953877 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3620000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1559244923063669 " " absolute error = 0.1559244923063669 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3630000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1565087184724353 " " absolute error = 0.1565087184724353 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3640000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1570928681976804 " " absolute error = 0.1570928681976804 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3650000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.15767694155198403 " " absolute error = 0.15767694155198403 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3660000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.15826093860517346 " " absolute error = 0.15826093860517346 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3670000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.15884485942702153 " " absolute error = 0.15884485942702153 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3680000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.15942870408724666 " " absolute error = 0.15942870408724666 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3690000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.16001247265551294 " " absolute error = 0.16001247265551294 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3700000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1605961652014302 " " absolute error = 0.1605961652014302 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3710000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.16117978179455408 " " absolute error = 0.16117978179455408 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3720000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.16176332250438613 " " absolute error = 0.16176332250438613 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3730000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1623467874003738 " " absolute error = 0.1623467874003738 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3740000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.16293017655191058 " " absolute error = 0.16293017655191058 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3750000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.16351349002833604 " " absolute error = 0.16351349002833604 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3760000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1640967278989359 " " absolute error = 0.1640967278989359 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3770000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.16467989023294208 " " absolute error = 0.16467989023294208 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3780000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1652629770995328 " " absolute error = 0.1652629770995328 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3790000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.16584598856783264 " " absolute error = 0.16584598856783264 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3800000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.16642892470691262 " " absolute error = 0.16642892470691262 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3810000000000002 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.16701178558579022 " " absolute error = 0.16701178558579022 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.38200000000000023 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.16759457127342947 " " absolute error = 0.16759457127342947 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.38300000000000023 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.16817728183874106 " " absolute error = 0.16817728183874106 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.38400000000000023 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.16875991735058235 " " absolute error = 0.16875991735058235 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.38500000000000023 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.16934247787775747 " " absolute error = 0.16934247787775747 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.38600000000000023 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.16992496348901737 " " absolute error = 0.16992496348901737 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.38700000000000023 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1705073742530599 " " absolute error = 0.1705073742530599 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.38800000000000023 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.17108971023852984 " " absolute error = 0.17108971023852984 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.38900000000000023 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.17167197151401906 " " absolute error = 0.17167197151401906 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.39000000000000024 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.17225415814806644 " " absolute error = 0.17225415814806644 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.39100000000000024 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1728362702091581 " " absolute error = 0.1728362702091581 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.39200000000000024 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.17341830776572734 " " absolute error = 0.17341830776572734 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.39300000000000024 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.17400027088615477 " " absolute error = 0.17400027088615477 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.39400000000000024 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.17458215963876839 " " absolute error = 0.17458215963876839 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.39500000000000024 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.17516397409184356 " " absolute error = 0.17516397409184356 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.39600000000000024 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.17574571431360317 " " absolute error = 0.17574571431360317 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.39700000000000024 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.17632738037221765 " " absolute error = 0.17632738037221765 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.39800000000000024 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.17690897233580508 " " absolute error = 0.17690897233580508 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.39900000000000024 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.17749049027243122 " " absolute error = 0.17749049027243122 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.40000000000000024 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.17807193425010956 " " absolute error = 0.17807193425010956 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.40100000000000025 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.17865330433680143 " " absolute error = 0.17865330433680143 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.40200000000000025 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.17923460060041607 " " absolute error = 0.17923460060041607 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.40300000000000025 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.17981582310881064 " " absolute error = 0.17981582310881064 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.40400000000000025 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.18039697192979032 " " absolute error = 0.18039697192979032 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.40500000000000025 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.18097804713110838 " " absolute error = 0.18097804713110838 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.40600000000000025 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.18155904878046622 " " absolute error = 0.18155904878046622 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.40700000000000025 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.18213997694551348 " " absolute error = 0.18213997694551348 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.40800000000000025 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.18272083169384806 " " absolute error = 0.18272083169384806 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.40900000000000025 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1833016130930162 " " absolute error = 0.1833016130930162 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.41000000000000025 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.18388232121051257 " " absolute error = 0.18388232121051257 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.41100000000000025 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.18446295611378025 " " absolute error = 0.18446295611378025 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.41200000000000025 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1850435178702109 " " absolute error = 0.1850435178702109 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.41300000000000026 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.18562400654714478 " " absolute error = 0.18562400654714478 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.41400000000000026 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1862044222118708 " " absolute error = 0.1862044222118708 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.41500000000000026 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.18678476493162663 " " absolute error = 0.18678476493162663 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.41600000000000026 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.18736503477359867 " " absolute error = 0.18736503477359867 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.41700000000000026 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1879452318049222 " " absolute error = 0.1879452318049222 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.41800000000000026 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.18852535609268148 " " absolute error = 0.18852535609268148 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.41900000000000026 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.18910540770390966 " " absolute error = 0.18910540770390966 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.42000000000000026 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.189685386705589 " " absolute error = 0.189685386705589 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.42100000000000026 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.19026529316465082 " " absolute error = 0.19026529316465082 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.42200000000000026 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1908451271479757 " " absolute error = 0.1908451271479757 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.42300000000000026 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.19142488872239333 " " absolute error = 0.19142488872239333 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.42400000000000027 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.19200457795468281 " " absolute error = 0.19200457795468281 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.42500000000000027 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.19258419491157255 " " absolute error = 0.19258419491157255 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.42600000000000027 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.19316373965974043 " " absolute error = 0.19316373965974043 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.42700000000000027 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.19374321226581376 " " absolute error = 0.19374321226581376 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.42800000000000027 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.19432261279636942 " " absolute error = 0.19432261279636942 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.42900000000000027 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.19490194131793395 " " absolute error = 0.19490194131793395 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.43000000000000027 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1954811978969835 " " absolute error = 0.1954811978969835 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.43100000000000027 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.19606038259994402 " " absolute error = 0.19606038259994402 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4320000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1966394954931912 " " absolute error = 0.1966394954931912 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4330000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.1972185366430507 " " absolute error = 0.1972185366430507 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4340000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.19779750611579797 " " absolute error = 0.19779750611579797 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4350000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.19837640397765854 " " absolute error = 0.19837640397765854 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4360000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.198955230294808 " " absolute error = 0.198955230294808 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4370000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.19953398513337198 " " absolute error = 0.19953398513337198 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4380000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.20011266855942633 " " absolute error = 0.20011266855942633 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4390000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.20069128063899716 " " absolute error = 0.20069128063899716 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4400000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.20126982143806085 " " absolute error = 0.20126982143806085 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4410000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.20184829102254415 " " absolute error = 0.20184829102254415 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4420000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2024266894583242 " " absolute error = 0.2024266894583242 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4430000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2030050168112287 " " absolute error = 0.2030050168112287 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4440000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2035832731470358 " " absolute error = 0.2035832731470358 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4450000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.20416145853147433 " " absolute error = 0.20416145853147433 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4460000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.20473957303022375 " " absolute error = 0.20473957303022375 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4470000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.20531761670891424 " " absolute error = 0.20531761670891424 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4480000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.20589558963312682 " " absolute error = 0.20589558963312682 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4490000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2064734918683933 " " absolute error = 0.2064734918683933 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4500000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.20705132348019645 " " absolute error = 0.20705132348019645 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4510000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.20762908453396997 " " absolute error = 0.20762908453396997 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4520000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2082067750950986 " " absolute error = 0.2082067750950986 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4530000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.20878439522891823 " " absolute error = 0.20878439522891823 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4540000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2093619450007158 " " absolute error = 0.2093619450007158 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4550000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.20993942447572958 " " absolute error = 0.20993942447572958 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4560000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.210516833719149 " " absolute error = 0.210516833719149 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4570000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.21109417279611492 " " absolute error = 0.21109417279611492 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4580000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2116714417717195 " " absolute error = 0.2116714417717195 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4590000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.21224864071100646 " " absolute error = 0.21224864071100646 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4600000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.21282576967897096 " " absolute error = 0.21282576967897096 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4610000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.21340282874055974 " " absolute error = 0.21340282874055974 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4620000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2139798179606712 " " absolute error = 0.2139798179606712 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4630000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2145567374041554 " " absolute error = 0.2145567374041554 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4640000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.21513358713581415 " " absolute error = 0.21513358713581415 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4650000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.21571036722040113 " " absolute error = 0.21571036722040113 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4660000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.21628707772262182 " " absolute error = 0.21628707772262182 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4670000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2168637187071337 " " absolute error = 0.2168637187071337 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4680000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.21744029023854616 " " absolute error = 0.21744029023854616 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4690000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2180167923814207 " " absolute error = 0.2180167923814207 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4700000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.21859322520027089 " " absolute error = 0.21859322520027089 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4710000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.21916958875956247 " " absolute error = 0.21916958875956247 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4720000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.21974588312371343 " " absolute error = 0.21974588312371343 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4730000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.22032210835709404 " " absolute error = 0.22032210835709404 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4740000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2208982645240269 " " absolute error = 0.2208982645240269 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4750000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.22147435168878699 " " absolute error = 0.22147435168878699 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4760000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2220503699156018 " " absolute error = 0.2220503699156018 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4770000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.22262631926865126 " " absolute error = 0.22262631926865126 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4780000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.22320219981206796 " " absolute error = 0.22320219981206796 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4790000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.22377801160993704 " " absolute error = 0.22377801160993704 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4800000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.22435375472629643 " " absolute error = 0.22435375472629643 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4810000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.22492942922513673 " " absolute error = 0.22492942922513673 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4820000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.22550503517040138 " " absolute error = 0.22550503517040138 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4830000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.22608057262598666 " " absolute error = 0.22608057262598666 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4840000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.22665604165574182 " " absolute error = 0.22665604165574182 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4850000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.22723144232346904 " " absolute error = 0.22723144232346904 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4860000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.22780677469292357 " " absolute error = 0.22780677469292357 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4870000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.22838203882781374 " " absolute error = 0.22838203882781374 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4880000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.22895723479180105 " " absolute error = 0.22895723479180105 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4890000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2295323626485002 " " absolute error = 0.2295323626485002 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4900000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.23010742246147914 " " absolute error = 0.23010742246147914 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4910000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.23068241429425917 " " absolute error = 0.23068241429425917 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4920000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.23125733821031497 " " absolute error = 0.23125733821031497 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4930000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.23183219427307464 " " absolute error = 0.23183219427307464 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4940000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.23240698254591977 " " absolute error = 0.23240698254591977 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.49500000000000033 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.23298170309218555 " " absolute error = 0.23298170309218555 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.49600000000000033 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.23355635597516072 " " absolute error = 0.23355635597516072 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.49700000000000033 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.23413094125808773 " " absolute error = 0.23413094125808773 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.49800000000000033 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.23470545900416273 " " absolute error = 0.23470545900416273 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.49900000000000033 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.23527990927653566 " " absolute error = 0.23527990927653566 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5000000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.23585429213831027 " " absolute error = 0.23585429213831027 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5010000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.23642860765254423 " " absolute error = 0.23642860765254423 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5020000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.23700285588224915 " " absolute error = 0.23700285588224915 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5030000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2375770368903906 " " absolute error = 0.2375770368903906 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5040000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.23815115073988832 " " absolute error = 0.23815115073988832 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5050000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.23872519749361604 " " absolute error = 0.23872519749361604 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5060000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2392991772144017 " " absolute error = 0.2392991772144017 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5070000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2398730899650275 " " absolute error = 0.2398730899650275 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5080000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2404469358082299 " " absolute error = 0.2404469358082299 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5090000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2410207148066997 " " absolute error = 0.2410207148066997 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5100000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.24159442702308212 " " absolute error = 0.24159442702308212 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5110000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.24216807251997677 " " absolute error = 0.24216807251997677 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5120000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2427416513599378 " " absolute error = 0.2427416513599378 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5130000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.24331516360547392 " " absolute error = 0.24331516360547392 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5140000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.24388860931904846 " " absolute error = 0.24388860931904846 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5150000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2444619885630794 " " absolute error = 0.2444619885630794 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5160000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.24503530139993945 " " absolute error = 0.24503530139993945 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5170000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2456085478919561 " " absolute error = 0.2456085478919561 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5180000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2461817281014117 " " absolute error = 0.2461817281014117 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5190000000000003 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.24675484209054346 " " absolute error = 0.24675484209054346 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5200000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.24732788992154353 " " absolute error = 0.24732788992154353 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5210000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.24790087165655908 " " absolute error = 0.24790087165655908 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5220000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.24847378735769232 " " absolute error = 0.24847378735769232 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5230000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2490466370870006 " " absolute error = 0.2490466370870006 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5240000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.24961942090649636 " " absolute error = 0.24961942090649636 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5250000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.25019213887814734 " " absolute error = 0.25019213887814734 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5260000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2507647910638765 " " absolute error = 0.2507647910638765 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5270000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2513373775255621 " " absolute error = 0.2513373775255621 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5280000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.25190989832503785 " " absolute error = 0.25190989832503785 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5290000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2524823535240928 " " absolute error = 0.2524823535240928 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5300000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.25305474318447163 " " absolute error = 0.25305474318447163 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5310000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2536270673678744 " " absolute error = 0.2536270673678744 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5320000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.25419932613595686 " " absolute error = 0.25419932613595686 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5330000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2547715195503304 " " absolute error = 0.2547715195503304 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5340000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.25534364767256207 " " absolute error = 0.25534364767256207 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5350000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2559157105641747 " " absolute error = 0.2559157105641747 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5360000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.25648770828664696 " " absolute error = 0.25648770828664696 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5370000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2570596409014133 " " absolute error = 0.2570596409014133 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5380000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.25763150846986416 " " absolute error = 0.25763150846986416 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5390000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2582033110533459 " " absolute error = 0.2582033110533459 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5400000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2587750487131609 " " absolute error = 0.2587750487131609 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5410000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.25934672151056776 " " absolute error = 0.25934672151056776 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5420000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.25991832950678095 " " absolute error = 0.25991832950678095 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5430000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2604898727629713 " " absolute error = 0.2604898727629713 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5440000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2610613513402658 " " absolute error = 0.2610613513402658 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5450000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.26163276529974777 " " absolute error = 0.26163276529974777 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5460000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.26220411470245686 " " absolute error = 0.26220411470245686 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5470000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.26277539960938906 " " absolute error = 0.26277539960938906 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5480000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.26334662008149684 " " absolute error = 0.26334662008149684 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5490000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2639177761796892 " " absolute error = 0.2639177761796892 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5500000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2644888679648316 " " absolute error = 0.2644888679648316 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5510000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2650598954977462 " " absolute error = 0.2650598954977462 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5520000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2656308588392118 " " absolute error = 0.2656308588392118 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5530000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.26620175804996377 " " absolute error = 0.26620175804996377 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5540000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.26677259319069435 " " absolute error = 0.26677259319069435 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5550000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.26734336432205263 " " absolute error = 0.26734336432205263 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5560000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.26791407150464447 " " absolute error = 0.26791407150464447 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5570000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2684847147990327 " " absolute error = 0.2684847147990327 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5580000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.269055294265737 " " absolute error = 0.269055294265737 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5590000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2696258099652342 " " absolute error = 0.2696258099652342 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5600000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2701962619579582 " " absolute error = 0.2701962619579582 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5610000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.2707666503042999 " " absolute error = 0.2707666503042999 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5620000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.27133697506460747 " " absolute error = 0.27133697506460747 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5630000000000004 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 0.27190723629918623 " " absolute error = 0.27190723629918623 " " relative error = -1. "%" Correct digits = -1 h = 1.000E-3 " " "NO POLE for equation 1" "Finished!" "Maximum Time Reached before Solution Completed!" "diff ( y , x , 1 ) = expt((0.1 * x + 0.2) , (0.2 * x + 0.3));" Iterations = 464 "Total Elapsed Time "= 0 Years 0 Days 0 Hours 3 Minutes 0 Seconds "Elapsed Time(since restart) "= 0 Years 0 Days 0 Hours 3 Minutes 0 Seconds "Expected Time Remaining "= 0 Years 0 Days 0 Hours 28 Minutes 45 Seconds "Optimized Time Remaining "= 0 Years 0 Days 0 Hours 28 Minutes 38 Seconds "Expected Total Time "= 0 Years 0 Days 0 Hours 31 Minutes 39 Seconds "Time to Timeout " Unknown Percent Done = 9.489795918367355 "%" (%o58) true (%o58) diffeq.max