(%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 : sin(array_x ), array_tmp1_g : cos(array_x ), 1 1 1 1 array_tmp2 : array_tmp1 array_const_2D0 , 1 1 1 array_tmp3 : array_tmp2 + array_const_0D0 , 1 1 1 if not array_y_set_initial then (if 1 <= glob_max_terms 1, 2 then (temporary : array_tmp3 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_g array_x - array_tmp1 array_x 1 2 1 2 array_tmp1 : ----------------------, array_tmp1_g : ----------------------, 2 1 2 1 array_tmp2 : array_tmp1 array_const_2D0 , array_tmp3 : array_tmp2 , 2 2 1 2 2 if not array_y_set_initial then (if 2 <= glob_max_terms 1, 3 then (temporary : array_tmp3 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_tmp1_g array_x - array_tmp1 array_x 2 2 2 2 array_tmp1 : ----------------------, array_tmp1_g : ----------------------, 3 2 3 2 array_tmp2 : array_tmp1 array_const_2D0 , array_tmp3 : array_tmp2 , 3 3 1 3 3 if not array_y_set_initial then (if 3 <= glob_max_terms 1, 4 then (temporary : array_tmp3 expt(glob_h, 1) factorial_3(2, 3), 3 array_y : temporary, array_y_higher : temporary, 4 1, 4 temporary 3.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 4, glob_h 2, 3 array_tmp1_g array_x - array_tmp1 array_x 3 2 3 2 array_tmp1 : ----------------------, array_tmp1_g : ----------------------, 4 3 4 3 array_tmp2 : array_tmp1 array_const_2D0 , array_tmp3 : array_tmp2 , 4 4 1 4 4 if not array_y_set_initial then (if 4 <= glob_max_terms 1, 5 then (temporary : array_tmp3 expt(glob_h, 1) factorial_3(3, 4), 4 array_y : temporary, array_y_higher : temporary, 5 1, 5 temporary 4.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 5, glob_h 2, 4 array_tmp1_g array_x - array_tmp1 array_x 4 2 4 2 array_tmp1 : ----------------------, array_tmp1_g : ----------------------, 5 4 5 4 array_tmp2 : array_tmp1 array_const_2D0 , array_tmp3 : array_tmp2 , 5 5 1 5 5 if not array_y_set_initial then (if 5 <= glob_max_terms 1, 6 then (temporary : array_tmp3 expt(glob_h, 1) factorial_3(4, 5), 5 array_y : temporary, array_y_higher : temporary, 6 1, 6 temporary 5.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 6, glob_h 2, 5 array_tmp1_g array_x kkk - 1 2 while kkk <= glob_max_terms do (array_tmp1 : ----------------------------, kkk kkk - 1 - array_tmp1 array_x kkk - 1 2 array_tmp1_g : ----------------------------, kkk kkk - 1 array_tmp2 : array_tmp1 array_const_2D0 , array_tmp3 : array_tmp2 , kkk kkk 1 kkk kkk order_d : 1, if 1 + order_d + kkk <= glob_max_terms then (if not array_y_set_initial 1, order_d + kkk then (temporary : array_tmp3 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 : sin(array_x ), array_tmp1_g : cos(array_x ), 1 1 1 1 array_tmp2 : array_tmp1 array_const_2D0 , 1 1 1 array_tmp3 : array_tmp2 + array_const_0D0 , 1 1 1 if not array_y_set_initial then (if 1 <= glob_max_terms 1, 2 then (temporary : array_tmp3 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_g array_x - array_tmp1 array_x 1 2 1 2 array_tmp1 : ----------------------, array_tmp1_g : ----------------------, 2 1 2 1 array_tmp2 : array_tmp1 array_const_2D0 , array_tmp3 : array_tmp2 , 2 2 1 2 2 if not array_y_set_initial then (if 2 <= glob_max_terms 1, 3 then (temporary : array_tmp3 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_tmp1_g array_x - array_tmp1 array_x 2 2 2 2 array_tmp1 : ----------------------, array_tmp1_g : ----------------------, 3 2 3 2 array_tmp2 : array_tmp1 array_const_2D0 , array_tmp3 : array_tmp2 , 3 3 1 3 3 if not array_y_set_initial then (if 3 <= glob_max_terms 1, 4 then (temporary : array_tmp3 expt(glob_h, 1) factorial_3(2, 3), 3 array_y : temporary, array_y_higher : temporary, 4 1, 4 temporary 3.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 4, glob_h 2, 3 array_tmp1_g array_x - array_tmp1 array_x 3 2 3 2 array_tmp1 : ----------------------, array_tmp1_g : ----------------------, 4 3 4 3 array_tmp2 : array_tmp1 array_const_2D0 , array_tmp3 : array_tmp2 , 4 4 1 4 4 if not array_y_set_initial then (if 4 <= glob_max_terms 1, 5 then (temporary : array_tmp3 expt(glob_h, 1) factorial_3(3, 4), 4 array_y : temporary, array_y_higher : temporary, 5 1, 5 temporary 4.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 5, glob_h 2, 4 array_tmp1_g array_x - array_tmp1 array_x 4 2 4 2 array_tmp1 : ----------------------, array_tmp1_g : ----------------------, 5 4 5 4 array_tmp2 : array_tmp1 array_const_2D0 , array_tmp3 : array_tmp2 , 5 5 1 5 5 if not array_y_set_initial then (if 5 <= glob_max_terms 1, 6 then (temporary : array_tmp3 expt(glob_h, 1) factorial_3(4, 5), 5 array_y : temporary, array_y_higher : temporary, 6 1, 6 temporary 5.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 6, glob_h 2, 5 array_tmp1_g array_x kkk - 1 2 while kkk <= glob_max_terms do (array_tmp1 : ----------------------------, kkk kkk - 1 - array_tmp1 array_x kkk - 1 2 array_tmp1_g : ----------------------------, kkk kkk - 1 array_tmp2 : array_tmp1 array_const_2D0 , array_tmp3 : array_tmp2 , kkk kkk 1 kkk kkk order_d : 1, if 1 + order_d + kkk <= glob_max_terms then (if not array_y_set_initial 1, order_d + kkk then (temporary : array_tmp3 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(- cos(x) 2.0) (%o56) exact_soln_y(x) := block(- cos(x) 2.0) (%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/mult_sin_cpostode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 1 ) = sin(x) * 2.0;"), 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, " (-cos(x) * 2.0) "), 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_g, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms), array(array_tmp3, 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_g : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp3 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher : 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_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_g, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1_g : 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_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_2D0, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_2D0 : 0.0, term : 1 + term), term array_const_2D0 : 2.0, 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 ) = sin(x) * 2.0;"), 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, "2013-01-28T18:43:42-06:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "mult_sin_c"), logitem_str(html_log_file, "diff ( y , x , 1 ) = sin(x) * 2.0;"), 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, "mult_sin_c diffeq.max"), logitem_str(html_log_file, "mult_sin_c 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/mult_sin_cpostode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 1 ) = sin(x) * 2.0;"), 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, " (-cos(x) * 2.0) "), 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_g, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms), array(array_tmp3, 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_g : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp3 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher : 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_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_g, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1_g : 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_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_2D0, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_2D0 : 0.0, term : 1 + term), term array_const_2D0 : 2.0, 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 ) = sin(x) * 2.0;"), 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, "2013-01-28T18:43:42-06:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "mult_sin_c"), logitem_str(html_log_file, "diff ( y , x , 1 ) = sin(x) * 2.0;"), 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, "mult_sin_c diffeq.max"), logitem_str(html_log_file, "mult_sin_c 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/mult_sin_cpostode.ode#################" "diff ( y , x , 1 ) = sin(x) * 2.0;" "!" "/* 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(" " (-cos(x) * 2.0) " "));" "/* 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 = 4.93440805020988970000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-105 "" max_value3 = 4.93440805020988970000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-105 "" value3 = 4.93440805020988970000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-105 "" best_h = 1.000E-3 "" "START of Soultion" " " "TOP MAIN SOLVE Loop" x[1] = 0.1 " " y[1] (analytic) = -1.9900083305560516 " " y[1] (numeric) = -1.9900083305560516 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.101 " " y[1] (analytic) = -1.9898076687519533 " " y[1] (numeric) = -1.9898076687519535 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.115909886226853600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.10200000000000001 " " y[1] (analytic) = -1.989605017140352 " " y[1] (numeric) = -1.9896050171403523 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.116023547448501800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.10300000000000001 " " y[1] (analytic) = -1.9894003759238996 " " y[1] (numeric) = -1.9894003759238998 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.11613834807843200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.10400000000000001 " " y[1] (analytic) = -1.989193745307237 " " y[1] (numeric) = -1.9891937453072372 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.11625428869793600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.10500000000000001 " " y[1] (analytic) = -1.9889851254969948 " " y[1] (numeric) = -1.988985125496995 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.11637136989422290000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.10600000000000001 " " y[1] (analytic) = -1.988774516701793 " " y[1] (numeric) = -1.9887745167017932 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.116489592260427300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.10700000000000001 " " y[1] (analytic) = -1.9885619191322401 " " y[1] (numeric) = -1.9885619191322403 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.116608956395615500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.10800000000000001 " " y[1] (analytic) = -1.9883473330009338 " " y[1] (numeric) = -1.988347333000934 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.116729462904794400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.10900000000000001 " " y[1] (analytic) = -1.9881307585224601 " " y[1] (numeric) = -1.9881307585224604 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.116851112398917500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.11000000000000001 " " y[1] (analytic) = -1.9879121959133936 " " y[1] (numeric) = -1.9879121959133939 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.116973905494893400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.11100000000000002 " " y[1] (analytic) = -1.987691645392297 " " y[1] (numeric) = -1.987691645392297 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.11200000000000002 " " y[1] (analytic) = -1.9874691071797206 " " y[1] (numeric) = -1.9874691071797206 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.11300000000000002 " " y[1] (analytic) = -1.9872445814982025 " " y[1] (numeric) = -1.9872445814982025 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.11400000000000002 " " y[1] (analytic) = -1.9870180685722685 " " y[1] (numeric) = -1.9870180685722685 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.11500000000000002 " " y[1] (analytic) = -1.9867895686284316 " " y[1] (numeric) = -1.9867895686284316 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.11600000000000002 " " y[1] (analytic) = -1.9865590818951917 " " y[1] (numeric) = -1.9865590818951917 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.11700000000000002 " " y[1] (analytic) = -1.9863266086030353 " " y[1] (numeric) = -1.9863266086030353 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.11800000000000002 " " y[1] (analytic) = -1.986092148984436 " " y[1] (numeric) = -1.9860921489844359 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.117997495929738800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.11900000000000002 " " y[1] (analytic) = -1.985855703273853 " " y[1] (numeric) = -1.985855703273853 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.12000000000000002 " " y[1] (analytic) = -1.9856172717077325 " " y[1] (numeric) = -1.9856172717077325 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.12100000000000002 " " y[1] (analytic) = -1.9853768545245056 " " y[1] (numeric) = -1.9853768545245056 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.12200000000000003 " " y[1] (analytic) = -1.9851344519645897 " " y[1] (numeric) = -1.9851344519645897 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.12300000000000003 " " y[1] (analytic) = -1.984890064270387 " " y[1] (numeric) = -1.9848900642703873 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.118674575091146300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.12400000000000003 " " y[1] (analytic) = -1.9846436916862857 " " y[1] (numeric) = -1.984643691686286 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.118813446742006200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.12500000000000003 " " y[1] (analytic) = -1.984395334458658 " " y[1] (numeric) = -1.9843953344586582 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.118953471968351400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.12600000000000003 " " y[1] (analytic) = -1.9841449928358614 " " y[1] (numeric) = -1.9841449928358614 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.12700000000000003 " " y[1] (analytic) = -1.983892667068237 " " y[1] (numeric) = -1.983892667068237 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.12800000000000003 " " y[1] (analytic) = -1.9836383574081111 " " y[1] (numeric) = -1.9836383574081111 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.12900000000000003 " " y[1] (analytic) = -1.983382064109793 " " y[1] (numeric) = -1.983382064109793 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.13000000000000003 " " y[1] (analytic) = -1.9831237874295762 " " y[1] (numeric) = -1.9831237874295762 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.13100000000000003 " " y[1] (analytic) = -1.982863527625737 " " y[1] (numeric) = -1.9828635276257371 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.119817888782822800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.13200000000000003 " " y[1] (analytic) = -1.9826012849585355 " " y[1] (numeric) = -1.9826012849585357 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.119966009351573700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.13300000000000003 " " y[1] (analytic) = -1.9823370596902143 " " y[1] (numeric) = -1.9823370596902146 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.120115289373295900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.13400000000000004 " " y[1] (analytic) = -1.9820708520849986 " " y[1] (numeric) = -1.9820708520849988 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.120265729610301600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.13500000000000004 " " y[1] (analytic) = -1.9818026624090959 " " y[1] (numeric) = -1.981802662409096 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.120417330831072900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.13600000000000004 " " y[1] (analytic) = -1.981532490930696 " " y[1] (numeric) = -1.9815324909306962 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.120570093810272600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.13700000000000004 " " y[1] (analytic) = -1.9812603379199702 " " y[1] (numeric) = -1.9812603379199705 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.120724019328753300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.13800000000000004 " " y[1] (analytic) = -1.9809862036490717 " " y[1] (numeric) = -1.980986203649072 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.120879108173567800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.13900000000000004 " " y[1] (analytic) = -1.9807100883921347 " " y[1] (numeric) = -1.980710088392135 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.12103536113797810000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.14000000000000004 " " y[1] (analytic) = -1.9804319924252742 " " y[1] (numeric) = -1.9804319924252745 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.121192779021466500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.14100000000000004 " " y[1] (analytic) = -1.9801519160265866 " " y[1] (numeric) = -1.9801519160265866 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.14200000000000004 " " y[1] (analytic) = -1.9798698594761477 " " y[1] (numeric) = -1.9798698594761477 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.14300000000000004 " " y[1] (analytic) = -1.9795858230560144 " " y[1] (numeric) = -1.9795858230560144 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.14400000000000004 " " y[1] (analytic) = -1.979299807050223 " " y[1] (numeric) = -1.979299807050223 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.14500000000000005 " " y[1] (analytic) = -1.9790118117447895 " " y[1] (numeric) = -1.9790118117447895 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.14600000000000005 " " y[1] (analytic) = -1.9787218374277091 " " y[1] (numeric) = -1.9787218374277091 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.14700000000000005 " " y[1] (analytic) = -1.9784298843889563 " " y[1] (numeric) = -1.9784298843889563 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.14800000000000005 " " y[1] (analytic) = -1.978135952920484 " " y[1] (numeric) = -1.9781359529204838 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.122494157174630400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.14900000000000005 " " y[1] (analytic) = -1.9778400433162235 " " y[1] (numeric) = -1.9778400433162233 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.122662096337838600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.15000000000000005 " " y[1] (analytic) = -1.9775421558720845 " " y[1] (numeric) = -1.9775421558720843 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.122831208759294100000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.15100000000000005 " " y[1] (analytic) = -1.9772422908859546 " " y[1] (numeric) = -1.9772422908859542 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.24600299061516100000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.15200000000000005 " " y[1] (analytic) = -1.9769404486576985 " " y[1] (numeric) = -1.976940448657698 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.24634591371525600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.15300000000000005 " " y[1] (analytic) = -1.9766366294891584 " " y[1] (numeric) = -1.976636629489158 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.246691188581448600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.15400000000000005 " " y[1] (analytic) = -1.9763308336841534 " " y[1] (numeric) = -1.9763308336841532 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.123519408494525800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.15500000000000005 " " y[1] (analytic) = -1.9760230615484797 " " y[1] (numeric) = -1.9760230615484793 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.247388800726136000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.15600000000000006 " " y[1] (analytic) = -1.975713313389909 " " y[1] (numeric) = -1.9757133133899085 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.247741141593558600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.15700000000000006 " " y[1] (analytic) = -1.9754015895181896 " " y[1] (numeric) = -1.9754015895181891 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.248095841404978400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.15800000000000006 " " y[1] (analytic) = -1.9750878902450453 " " y[1] (numeric) = -1.9750878902450448 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.248452901986884900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.15900000000000006 " " y[1] (analytic) = -1.9747722158841752 " " y[1] (numeric) = -1.9747722158841747 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.248812325178619000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.16000000000000006 " " y[1] (analytic) = -1.9744545667512539 " " y[1] (numeric) = -1.9744545667512534 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.24917411283239720000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.16100000000000006 " " y[1] (analytic) = -1.9741349431639303 " " y[1] (numeric) = -1.97413494316393 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.249538266813333200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.16200000000000006 " " y[1] (analytic) = -1.973813345441828 " " y[1] (numeric) = -1.9738133454418276 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.24990478899946580000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.16300000000000006 " " y[1] (analytic) = -1.9734897739065451 " " y[1] (numeric) = -1.9734897739065445 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.37541052192266800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.16400000000000006 " " y[1] (analytic) = -1.9731642288816524 " " y[1] (numeric) = -1.9731642288816518 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.3759674183463400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.16500000000000006 " " y[1] (analytic) = -1.9728367106926954 " " y[1] (numeric) = -1.9728367106926947 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.3765278756456400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.16600000000000006 " " y[1] (analytic) = -1.972507219667192 " " y[1] (numeric) = -1.9725072196671913 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.377091896715522000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.16700000000000007 " " y[1] (analytic) = -1.9721757561346334 " " y[1] (numeric) = -1.9721757561346327 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.37765948447050770000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.16800000000000007 " " y[1] (analytic) = -1.971842320426483 " " y[1] (numeric) = -1.9718423204264823 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.3782306418447200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.16900000000000007 " " y[1] (analytic) = -1.9715069128761764 " " y[1] (numeric) = -1.9715069128761757 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.37880537179192500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.17000000000000007 " " y[1] (analytic) = -1.9711695338191213 " " y[1] (numeric) = -1.9711695338191206 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.37938367728556730000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.17100000000000007 " " y[1] (analytic) = -1.9708301835926967 " " y[1] (numeric) = -1.970830183592696 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.379965561318808400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.17200000000000007 " " y[1] (analytic) = -1.9704888625362527 " " y[1] (numeric) = -1.970488862536252 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.38055102690456600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.17300000000000007 " " y[1] (analytic) = -1.9701455709911104 " " y[1] (numeric) = -1.9701455709911098 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.381140077075552000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.17400000000000007 " " y[1] (analytic) = -1.9698003093005612 " " y[1] (numeric) = -1.9698003093005607 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.254488476589539500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.17500000000000007 " " y[1] (analytic) = -1.969453077809867 " " y[1] (numeric) = -1.9694530778098664 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.254885962268837800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.17600000000000007 " " y[1] (analytic) = -1.969103876866259 " " y[1] (numeric) = -1.9691038768662585 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.255285843816481600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.17700000000000007 " " y[1] (analytic) = -1.968752706818938 " " y[1] (numeric) = -1.9687527068189379 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.127844061653662400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.17800000000000007 " " y[1] (analytic) = -1.9683995680190747 " " y[1] (numeric) = -1.9683995680190745 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.128046401414774100000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.17900000000000008 " " y[1] (analytic) = -1.968044460819807 " " y[1] (numeric) = -1.9680444608198069 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.128249942242344300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.18000000000000008 " " y[1] (analytic) = -1.967687385576243 " " y[1] (numeric) = -1.9676873855762425 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.256909370387663600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.18100000000000008 " " y[1] (analytic) = -1.9673283426454569 " " y[1] (numeric) = -1.9673283426454564 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.257321262666800200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.18200000000000008 " " y[1] (analytic) = -1.9669673323864922 " " y[1] (numeric) = -1.9669673323864918 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.257735563463861800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.18300000000000008 " " y[1] (analytic) = -1.9666043551603591 " " y[1] (numeric) = -1.9666043551603587 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.258152274934075700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.18400000000000008 " " y[1] (analytic) = -1.9662394113300348 " " y[1] (numeric) = -1.9662394113300343 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.258571399246161700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.18500000000000008 " " y[1] (analytic) = -1.965872501260463 " " y[1] (numeric) = -1.9658725012604625 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.258992938582359300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.18600000000000008 " " y[1] (analytic) = -1.9655036253185536 " " y[1] (numeric) = -1.9655036253185532 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.259416895138456000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.18700000000000008 " " y[1] (analytic) = -1.9651327838731827 " " y[1] (numeric) = -1.9651327838731822 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.25984327112381700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.18800000000000008 " " y[1] (analytic) = -1.9647599772951918 " " y[1] (numeric) = -1.9647599772951914 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.26027206876141080000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.18900000000000008 " " y[1] (analytic) = -1.9643852059573874 " " y[1] (numeric) = -1.964385205957387 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.260703290287842400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.19000000000000009 " " y[1] (analytic) = -1.9640084702345406 " " y[1] (numeric) = -1.9640084702345402 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.261136937953377400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.1910000000000001 " " y[1] (analytic) = -1.9636297705033874 " " y[1] (numeric) = -1.963629770503387 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.261573014021975600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.1920000000000001 " " y[1] (analytic) = -1.963249107142627 " " y[1] (numeric) = -1.9632491071426268 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.13100576038565900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.1930000000000001 " " y[1] (analytic) = -1.9628664805329235 " " y[1] (numeric) = -1.962866480532923 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.26245246049283600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.1940000000000001 " " y[1] (analytic) = -1.9624818910569026 " " y[1] (numeric) = -1.9624818910569024 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.131447917745871700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.1950000000000001 " " y[1] (analytic) = -1.9620953390991545 " " y[1] (numeric) = -1.9620953390991542 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.131670824043531800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.1960000000000001 " " y[1] (analytic) = -1.9617068250462306 " " y[1] (numeric) = -1.9617068250462304 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.131894950305831200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.1970000000000001 " " y[1] (analytic) = -1.9613163492866452 " " y[1] (numeric) = -1.961316349286645 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.132120297706138300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.1980000000000001 " " y[1] (analytic) = -1.9609239122108741 " " y[1] (numeric) = -1.9609239122108737 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.26469373484954500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.1990000000000001 " " y[1] (analytic) = -1.9605295142113541 " " y[1] (numeric) = -1.9605295142113537 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.265149321298040600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2000000000000001 " " y[1] (analytic) = -1.9601331556824833 " " y[1] (numeric) = -1.9601331556824828 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.26560735714629900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2010000000000001 " " y[1] (analytic) = -1.95973483702062 " " y[1] (numeric) = -1.9597348370206196 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.26606784479685190000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2020000000000001 " " y[1] (analytic) = -1.9593345586240831 " " y[1] (numeric) = -1.9593345586240827 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.266530786666256500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2030000000000001 " " y[1] (analytic) = -1.9589323208931508 " " y[1] (numeric) = -1.9589323208931504 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.2669961851851300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2040000000000001 " " y[1] (analytic) = -1.958528124230061 " " y[1] (numeric) = -1.9585281242300605 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.26746404279817800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2050000000000001 " " y[1] (analytic) = -1.9581219690390101 " " y[1] (numeric) = -1.9581219690390097 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.267934361964228700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2060000000000001 " " y[1] (analytic) = -1.9577138557261533 " " y[1] (numeric) = -1.9577138557261529 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.268407145156264300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2070000000000001 " " y[1] (analytic) = -1.957303784699604 " " y[1] (numeric) = -1.9573037846996035 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.268882394861454500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2080000000000001 " " y[1] (analytic) = -1.956891756369433 " " y[1] (numeric) = -1.9568917563694326 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.269360113581187500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2090000000000001 " " y[1] (analytic) = -1.9564777711476689 " " y[1] (numeric) = -1.9564777711476684 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.26984030383110400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2100000000000001 " " y[1] (analytic) = -1.9560618294482965 " " y[1] (numeric) = -1.956061829448296 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.270322968141130200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2110000000000001 " " y[1] (analytic) = -1.9556439316872576 " " y[1] (numeric) = -1.9556439316872574 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.135404054527755500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2120000000000001 " " y[1] (analytic) = -1.9552240782824502 " " y[1] (numeric) = -1.95522407828245 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.135647864566420900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2130000000000001 " " y[1] (analytic) = -1.9548022696537273 " " y[1] (numeric) = -1.954802269653727 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.135892915473052800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2140000000000001 " " y[1] (analytic) = -1.9543785062228978 " " y[1] (numeric) = -1.9543785062228975 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.136139208541352100000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2150000000000001 " " y[1] (analytic) = -1.9539527884137247 " " y[1] (numeric) = -1.9539527884137247 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2160000000000001 " " y[1] (analytic) = -1.953525116651926 " " y[1] (numeric) = -1.953525116651926 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2170000000000001 " " y[1] (analytic) = -1.9530954913651737 " " y[1] (numeric) = -1.9530954913651737 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2180000000000001 " " y[1] (analytic) = -1.9526639129830927 " " y[1] (numeric) = -1.9526639129830927 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2190000000000001 " " y[1] (analytic) = -1.9522303819372615 " " y[1] (numeric) = -1.9522303819372615 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2200000000000001 " " y[1] (analytic) = -1.951794898661211 " " y[1] (numeric) = -1.951794898661211 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2210000000000001 " " y[1] (analytic) = -1.9513574635904243 " " y[1] (numeric) = -1.9513574635904245 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.137898150739012200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.22200000000000011 " " y[1] (analytic) = -1.950918077162337 " " y[1] (numeric) = -1.950918077162337 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.22300000000000011 " " y[1] (analytic) = -1.9504767398163347 " " y[1] (numeric) = -1.9504767398163347 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.22400000000000012 " " y[1] (analytic) = -1.9500334519937554 " " y[1] (numeric) = -1.9500334519937554 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.22500000000000012 " " y[1] (analytic) = -1.9495882141378864 " " y[1] (numeric) = -1.9495882141378866 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.138930792229989300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.22600000000000012 " " y[1] (analytic) = -1.949141026693966 " " y[1] (numeric) = -1.9491410266939662 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.139192094794967700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.22700000000000012 " " y[1] (analytic) = -1.9486918901091812 " " y[1] (numeric) = -1.9486918901091814 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.139454657003732800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.22800000000000012 " " y[1] (analytic) = -1.9482408048326687 " " y[1] (numeric) = -1.948240804832669 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.13971848025276500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.22900000000000012 " " y[1] (analytic) = -1.9477877713155136 " " y[1] (numeric) = -1.9477877713155138 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.139983565946021500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.23000000000000012 " " y[1] (analytic) = -1.9473327900107495 " " y[1] (numeric) = -1.9473327900107498 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.140249915494955500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.23100000000000012 " " y[1] (analytic) = -1.9468758613733579 " " y[1] (numeric) = -1.946875861373358 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.140517530318535300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.23200000000000012 " " y[1] (analytic) = -1.946416985860267 " " y[1] (numeric) = -1.9464169858602671 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.14078641184326300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.23300000000000012 " " y[1] (analytic) = -1.9459561639303524 " " y[1] (numeric) = -1.9459561639303526 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.141056561503193700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.23400000000000012 " " y[1] (analytic) = -1.9454933960444363 " " y[1] (numeric) = -1.9454933960444363 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.23500000000000013 " " y[1] (analytic) = -1.945028682665286 " " y[1] (numeric) = -1.945028682665286 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.23600000000000013 " " y[1] (analytic) = -1.9445620242576152 " " y[1] (numeric) = -1.9445620242576152 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.23700000000000013 " " y[1] (analytic) = -1.944093421288082 " " y[1] (numeric) = -1.944093421288082 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.23800000000000013 " " y[1] (analytic) = -1.94362287422529 " " y[1] (numeric) = -1.9436228742252897 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.142426382553952100000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.23900000000000013 " " y[1] (analytic) = -1.9431503835397852 " " y[1] (numeric) = -1.9431503835397852 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.24000000000000013 " " y[1] (analytic) = -1.942675949704059 " " y[1] (numeric) = -1.942675949704059 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.24100000000000013 " " y[1] (analytic) = -1.9421995731925452 " " y[1] (numeric) = -1.9421995731925452 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.24200000000000013 " " y[1] (analytic) = -1.9417212544816198 " " y[1] (numeric) = -1.9417212544816198 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.24300000000000013 " " y[1] (analytic) = -1.9412409940496018 " " y[1] (numeric) = -1.9412409940496018 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.24400000000000013 " " y[1] (analytic) = -1.9407587923767515 " " y[1] (numeric) = -1.9407587923767515 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.24500000000000013 " " y[1] (analytic) = -1.9402746499452708 " " y[1] (numeric) = -1.9402746499452705 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.144397804358751500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.24600000000000014 " " y[1] (analytic) = -1.9397885672393016 " " y[1] (numeric) = -1.9397885672393014 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.144684573747355400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.24700000000000014 " " y[1] (analytic) = -1.9393005447449267 " " y[1] (numeric) = -1.9393005447449265 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.14497263215195200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.24800000000000014 " " y[1] (analytic) = -1.938810582950169 " " y[1] (numeric) = -1.9388105829501687 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.145261981122259300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.24900000000000014 " " y[1] (analytic) = -1.9383186823449896 " " y[1] (numeric) = -1.9383186823449894 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.145552622215870200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2500000000000001 " " y[1] (analytic) = -1.9378248434212895 " " y[1] (numeric) = -1.9378248434212892 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.145844556998271800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2510000000000001 " " y[1] (analytic) = -1.9373290666729075 " " y[1] (numeric) = -1.9373290666729073 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.146137787042869000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2520000000000001 " " y[1] (analytic) = -1.9368313525956202 " " y[1] (numeric) = -1.93683135259562 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.146432313931003800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2530000000000001 " " y[1] (analytic) = -1.9363317016871417 " " y[1] (numeric) = -1.9363317016871415 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.146728139251978500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2540000000000001 " " y[1] (analytic) = -1.935830114447123 " " y[1] (numeric) = -1.9358301144471228 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.147025264603075400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2550000000000001 " " y[1] (analytic) = -1.9353265913771511 " " y[1] (numeric) = -1.935326591377151 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.147323691589580700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2560000000000001 " " y[1] (analytic) = -1.934821132980749 " " y[1] (numeric) = -1.934821132980749 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2570000000000001 " " y[1] (analytic) = -1.9343137397633754 " " y[1] (numeric) = -1.9343137397633752 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.14792445693010490000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2580000000000001 " " y[1] (analytic) = -1.933804412232423 " " y[1] (numeric) = -1.933804412232423 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2590000000000001 " " y[1] (analytic) = -1.9332931508972195 " " y[1] (numeric) = -1.9332931508972195 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2600000000000001 " " y[1] (analytic) = -1.9327799562690264 " " y[1] (numeric) = -1.9327799562690264 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2610000000000001 " " y[1] (analytic) = -1.932264828861038 " " y[1] (numeric) = -1.932264828861038 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2620000000000001 " " y[1] (analytic) = -1.9317477691883818 " " y[1] (numeric) = -1.9317477691883818 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2630000000000001 " " y[1] (analytic) = -1.9312287777681174 " " y[1] (numeric) = -1.9312287777681174 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2640000000000001 " " y[1] (analytic) = -1.930707855119236 " " y[1] (numeric) = -1.930707855119236 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2650000000000001 " " y[1] (analytic) = -1.9301850017626605 " " y[1] (numeric) = -1.9301850017626605 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2660000000000001 " " y[1] (analytic) = -1.9296602182212441 " " y[1] (numeric) = -1.9296602182212441 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2670000000000001 " " y[1] (analytic) = -1.9291335050197702 " " y[1] (numeric) = -1.9291335050197702 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2680000000000001 " " y[1] (analytic) = -1.9286048626849521 " " y[1] (numeric) = -1.9286048626849521 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.26900000000000013 " " y[1] (analytic) = -1.928074291745432 " " y[1] (numeric) = -1.928074291745432 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.27000000000000013 " " y[1] (analytic) = -1.927541792731781 " " y[1] (numeric) = -1.927541792731781 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.27100000000000013 " " y[1] (analytic) = -1.9270073661764977 " " y[1] (numeric) = -1.927007366176498 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.152276887065588300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.27200000000000013 " " y[1] (analytic) = -1.926471012614009 " " y[1] (numeric) = -1.926471012614009 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.27300000000000013 " " y[1] (analytic) = -1.9259327325806679 " " y[1] (numeric) = -1.925932732580668 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.15291983551004400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.27400000000000013 " " y[1] (analytic) = -1.925392526614755 " " y[1] (numeric) = -1.9253925266147551 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.153243309380827700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.27500000000000013 " " y[1] (analytic) = -1.9248503952564757 " " y[1] (numeric) = -1.924850395256476 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.153568118707974100000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.27600000000000013 " " y[1] (analytic) = -1.9243063390479618 " " y[1] (numeric) = -1.924306339047962 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.15389426527008400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.27700000000000014 " " y[1] (analytic) = -1.9237603585332692 " " y[1] (numeric) = -1.9237603585332692 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.27800000000000014 " " y[1] (analytic) = -1.9232124542583782 " " y[1] (numeric) = -1.9232124542583784 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.154550577256194500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.27900000000000014 " " y[1] (analytic) = -1.9226626267711933 " " y[1] (numeric) = -1.9226626267711935 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.154880746280068900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.28000000000000014 " " y[1] (analytic) = -1.9221108766215418 " " y[1] (numeric) = -1.922110876621542 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.155212259738704300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.28100000000000014 " " y[1] (analytic) = -1.921557204361174 " " y[1] (numeric) = -1.9215572043611742 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.155545119453524300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.28200000000000014 " " y[1] (analytic) = -1.9210016105437617 " " y[1] (numeric) = -1.921001610543762 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.15587932725459300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.28300000000000014 " " y[1] (analytic) = -1.9204440957248992 " " y[1] (numeric) = -1.9204440957248994 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.156214884980639700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.28400000000000014 " " y[1] (analytic) = -1.919884660462101 " " y[1] (numeric) = -1.9198846604621012 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.156551794479085700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.28500000000000014 " " y[1] (analytic) = -1.9193233053148022 " " y[1] (numeric) = -1.9193233053148024 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.156890057606069400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.28600000000000014 " " y[1] (analytic) = -1.918760030844358 " " y[1] (numeric) = -1.9187600308443584 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.314459352452945300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.28700000000000014 " " y[1] (analytic) = -1.918194837614043 " " y[1] (numeric) = -1.9181948376140434 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.315141304427893200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.28800000000000014 " " y[1] (analytic) = -1.9176277261890502 " " y[1] (numeric) = -1.9176277261890506 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.315825974901876700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.28900000000000015 " " y[1] (analytic) = -1.917058697136491 " " y[1] (numeric) = -1.9170586971364914 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.316513367657434300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.29000000000000015 " " y[1] (analytic) = -1.9164877510253941 " " y[1] (numeric) = -1.9164877510253948 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.475805229742204000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.29100000000000015 " " y[1] (analytic) = -1.9159148884267063 " " y[1] (numeric) = -1.915914888426707 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.47684450284795100000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.29200000000000015 " " y[1] (analytic) = -1.9153401099132896 " " y[1] (numeric) = -1.9153401099132903 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.47788787655708200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.29300000000000015 " " y[1] (analytic) = -1.9147634160599227 " " y[1] (numeric) = -1.9147634160599234 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.47893535665007300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.29400000000000015 " " y[1] (analytic) = -1.9141848074432992 " " y[1] (numeric) = -1.9141848074432999 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.479986948934269400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.29500000000000015 " " y[1] (analytic) = -1.9136042846420278 " " y[1] (numeric) = -1.9136042846420285 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.4810426592439700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.29600000000000015 " " y[1] (analytic) = -1.913021848236631 " " y[1] (numeric) = -1.913021848236632 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.64280332458734240000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.29700000000000015 " " y[1] (analytic) = -1.9124374988095456 " " y[1] (numeric) = -1.9124374988095465 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.644221943216438300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.29800000000000015 " " y[1] (analytic) = -1.9118512369451208 " " y[1] (numeric) = -1.9118512369451217 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.64564607610011500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.29900000000000015 " " y[1] (analytic) = -1.9112630632296184 " " y[1] (numeric) = -1.9112630632296193 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.64707573116228800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.30000000000000016 " " y[1] (analytic) = -1.910672978251212 " " y[1] (numeric) = -1.9106729782512129 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.648510916363360300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.30100000000000016 " " y[1] (analytic) = -1.9100809825999865 " " y[1] (numeric) = -1.9100809825999874 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.64995163970034430000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.30200000000000016 " " y[1] (analytic) = -1.9094870768679375 " " y[1] (numeric) = -1.9094870768679384 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.651397909206969600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.30300000000000016 " " y[1] (analytic) = -1.908891261648971 " " y[1] (numeric) = -1.9088912616489717 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.48963729971534800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.30400000000000016 " " y[1] (analytic) = -1.9082935375389019 " " y[1] (numeric) = -1.9082935375389025 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.490730339286255400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.30500000000000016 " " y[1] (analytic) = -1.907693905135454 " " y[1] (numeric) = -1.907693905135455 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.655770075635174000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.30600000000000016 " " y[1] (analytic) = -1.90709236503826 " " y[1] (numeric) = -1.907092365038261 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.65723861089605200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.30700000000000016 " " y[1] (analytic) = -1.9064889178488602 " " y[1] (numeric) = -1.9064889178488609 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.494034549787520000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.30800000000000016 " " y[1] (analytic) = -1.9058835641707013 " " y[1] (numeric) = -1.905883564170702 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.495144337765176400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.30900000000000016 " " y[1] (analytic) = -1.9052763046091368 " " y[1] (numeric) = -1.9052763046091377 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.66167777110067500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.31000000000000016 " " y[1] (analytic) = -1.9046671397714268 " " y[1] (numeric) = -1.9046671397714274 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.4973765277172500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.31100000000000017 " " y[1] (analytic) = -1.9040560702667355 " " y[1] (numeric) = -1.9040560702667362 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.498498942217476000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.31200000000000017 " " y[1] (analytic) = -1.9034430967061327 " " y[1] (numeric) = -1.9034430967061333 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.49962557813167200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.31300000000000017 " " y[1] (analytic) = -1.9028282197025919 " " y[1] (numeric) = -1.9028282197025925 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.50075644179383300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.31400000000000017 " " y[1] (analytic) = -1.9022114398709897 " " y[1] (numeric) = -1.9022114398709906 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.669188719422077700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.31500000000000017 " " y[1] (analytic) = -1.9015927578281064 " " y[1] (numeric) = -1.9015927578281073 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.67070783712151550000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.31600000000000017 " " y[1] (analytic) = -1.9009721741926238 " " y[1] (numeric) = -1.9009721741926247 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.67223261738352500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.31700000000000017 " " y[1] (analytic) = -1.900349689585125 " " y[1] (numeric) = -1.9003496895851262 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.84220383600838700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.31800000000000017 " " y[1] (analytic) = -1.8997253046280955 " " y[1] (numeric) = -1.8997253046280964 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.675299200028299500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3190000000000002 " " y[1] (analytic) = -1.8990990199459195 " " y[1] (numeric) = -1.8990990199459203 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.67684101972427900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3200000000000002 " " y[1] (analytic) = -1.8984708361648817 " " y[1] (numeric) = -1.8984708361648825 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.67838853660950900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3210000000000002 " " y[1] (analytic) = -1.8978407539131659 " " y[1] (numeric) = -1.8978407539131668 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.67994175943785800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3220000000000002 " " y[1] (analytic) = -1.8972087738208545 " " y[1] (numeric) = -1.8972087738208554 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.68150069700232260000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3230000000000002 " " y[1] (analytic) = -1.8965748965199274 " " y[1] (numeric) = -1.8965748965199283 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.68306535813516200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3240000000000002 " " y[1] (analytic) = -1.8959391226442617 " " y[1] (numeric) = -1.8959391226442626 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.68463575170802400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3250000000000002 " " y[1] (analytic) = -1.8953014528296313 " " y[1] (numeric) = -1.8953014528296324 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.85776485829008900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3260000000000002 " " y[1] (analytic) = -1.894661887713706 " " y[1] (numeric) = -1.8946618877137071 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.85974221482264500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3270000000000002 " " y[1] (analytic) = -1.894020427936051 " " y[1] (numeric) = -1.8940204279360522 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.86172677047093400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3280000000000002 " " y[1] (analytic) = -1.893377074138126 " " y[1] (numeric) = -1.893377074138127 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.86371853652308000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3290000000000002 " " y[1] (analytic) = -1.8927318269632845 " " y[1] (numeric) = -1.8927318269632856 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.86571752431726200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3300000000000002 " " y[1] (analytic) = -1.8920846870567738 " " y[1] (numeric) = -1.892084687056775 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.8677237452418710000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3310000000000002 " " y[1] (analytic) = -1.8914356550657336 " " y[1] (numeric) = -1.8914356550657347 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.86973721073568600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3320000000000002 " " y[1] (analytic) = -1.8907847316391961 " " y[1] (numeric) = -1.8907847316391972 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.87175793228804200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3330000000000002 " " y[1] (analytic) = -1.8901319174280846 " " y[1] (numeric) = -1.8901319174280857 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.87378592143898900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3340000000000002 " " y[1] (analytic) = -1.889477213085213 " " y[1] (numeric) = -1.8894772130852142 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.87582118977947700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3350000000000002 " " y[1] (analytic) = -1.8888206192652859 " " y[1] (numeric) = -1.888820619265287 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.87786374895151000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3360000000000002 " " y[1] (analytic) = -1.8881621366248968 " " y[1] (numeric) = -1.888162136624898 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.87991361064833200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3370000000000002 " " y[1] (analytic) = -1.8875017658225286 " " y[1] (numeric) = -1.8875017658225297 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.88197078661458900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3380000000000002 " " y[1] (analytic) = -1.8868395075185518 " " y[1] (numeric) = -1.886839507518553 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.88403528864651300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3390000000000002 " " y[1] (analytic) = -1.8861753623752247 " " y[1] (numeric) = -1.8861753623752258 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.88610712859208300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3400000000000002 " " y[1] (analytic) = -1.8855093310566924 " " y[1] (numeric) = -1.8855093310566935 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.88818631835121400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3410000000000002 " " y[1] (analytic) = -1.884841414228986 " " y[1] (numeric) = -1.8848414142289873 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.06832744385110900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3420000000000002 " " y[1] (analytic) = -1.8841716125600227 " " y[1] (numeric) = -1.8841716125600239 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.89236679517051600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3430000000000002 " " y[1] (analytic) = -1.8834999267196038 " " y[1] (numeric) = -1.8834999267196049 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.89446810629175700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3440000000000002 " " y[1] (analytic) = -1.882826357379415 " " y[1] (numeric) = -1.8828263573794162 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.89657681534905200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3450000000000002 " " y[1] (analytic) = -1.8821509052130259 " " y[1] (numeric) = -1.882150905213027 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.89869293450462800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3460000000000002 " " y[1] (analytic) = -1.8814735708958883 " " y[1] (numeric) = -1.8814735708958894 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.90081647597371900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3470000000000002 " " y[1] (analytic) = -1.8807943551053368 " " y[1] (numeric) = -1.8807943551053377 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.72235796161979360000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3480000000000002 " " y[1] (analytic) = -1.8801132585205866 " " y[1] (numeric) = -1.8801132585205875 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.724068699983586000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3490000000000002 " " y[1] (analytic) = -1.8794302818227349 " " y[1] (numeric) = -1.8794302818227357 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.72578540577062500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3500000000000002 " " y[1] (analytic) = -1.8787454256947578 " " y[1] (numeric) = -1.8787454256947587 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.72750808892417100000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3510000000000002 " " y[1] (analytic) = -1.8780586908215116 " " y[1] (numeric) = -1.8780586908215124 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.729236759430628000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3520000000000002 " " y[1] (analytic) = -1.8773700778897309 " " y[1] (numeric) = -1.877370077889732 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.91371428414960900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3530000000000002 " " y[1] (analytic) = -1.876679587588029 " " y[1] (numeric) = -1.87667958758803 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.73271210266448140000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3540000000000002 " " y[1] (analytic) = -1.875987220606896 " " y[1] (numeric) = -1.8759872206068968 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.734458795581736000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3550000000000002 " " y[1] (analytic) = -1.8752929776386984 " " y[1] (numeric) = -1.8752929776386993 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.736211516231920000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3560000000000002 " " y[1] (analytic) = -1.8745968593776796 " " y[1] (numeric) = -1.8745968593776805 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.73797027481940200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3570000000000002 " " y[1] (analytic) = -1.8738988665199576 " " y[1] (numeric) = -1.8738988665199585 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.739735081592600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3580000000000002 " " y[1] (analytic) = -1.8731989997635252 " " y[1] (numeric) = -1.873198999763526 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.741505946844142000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3590000000000002 " " y[1] (analytic) = -1.8724972598082492 " " y[1] (numeric) = -1.87249725980825 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.743282880911014500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3600000000000002 " " y[1] (analytic) = -1.8717936473558696 " " y[1] (numeric) = -1.8717936473558703 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.55879942063104470000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3610000000000002 " " y[1] (analytic) = -1.8710881631099985 " " y[1] (numeric) = -1.8710881631099991 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.56014124779609800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3620000000000002 " " y[1] (analytic) = -1.8703808077761201 " " y[1] (numeric) = -1.8703808077761208 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.56148765003168500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3630000000000002 " " y[1] (analytic) = -1.86967158206159 " " y[1] (numeric) = -1.8696715820615906 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.56283863522481700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3640000000000002 " " y[1] (analytic) = -1.8689604866756335 " " y[1] (numeric) = -1.8689604866756342 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.5641942112963700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3650000000000002 " " y[1] (analytic) = -1.868247522329346 " " y[1] (numeric) = -1.8682475223293469 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.754072514934944400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3660000000000002 " " y[1] (analytic) = -1.8675326897356919 " " y[1] (numeric) = -1.8675326897356928 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.75589222390440400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3670000000000002 " " y[1] (analytic) = -1.8668159896095038 " " y[1] (numeric) = -1.8668159896095047 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.7577180860011403000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3680000000000002 " " y[1] (analytic) = -1.8660974226674816 " " y[1] (numeric) = -1.8660974226674825 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.759550111968559600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3690000000000002 " " y[1] (analytic) = -1.8653769896281922 " " y[1] (numeric) = -1.865376989628193 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.76138831259603660000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3700000000000002 " " y[1] (analytic) = -1.8646546912120687 " " y[1] (numeric) = -1.8646546912120696 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.763232698719079000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3710000000000002 " " y[1] (analytic) = -1.8639305281414094 " " y[1] (numeric) = -1.8639305281414102 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.76508328121949430000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3720000000000002 " " y[1] (analytic) = -1.863204501140377 " " y[1] (numeric) = -1.8632045011403782 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.9586750887819500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3730000000000002 " " y[1] (analytic) = -1.862476610934999 " " y[1] (numeric) = -1.8624766109350002 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.96100384889023300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3740000000000002 " " y[1] (analytic) = -1.8617468582531653 " " y[1] (numeric) = -1.8617468582531664 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.96334039562636100000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3750000000000002 " " y[1] (analytic) = -1.8610152438246284 " " y[1] (numeric) = -1.8610152438246295 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.965684742826199000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3760000000000002 " " y[1] (analytic) = -1.860281768381003 " " y[1] (numeric) = -1.8602817683810038 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.77442952350763500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3770000000000002 " " y[1] (analytic) = -1.8595464326557638 " " y[1] (numeric) = -1.8595464326557647 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.776317515404270300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3780000000000002 " " y[1] (analytic) = -1.858809237384247 " " y[1] (numeric) = -1.858809237384248 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.7782117811615105000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3790000000000002 " " y[1] (analytic) = -1.858070183303648 " " y[1] (numeric) = -1.8580701833036488 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.78011233203766500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3800000000000002 " " y[1] (analytic) = -1.8573292711530203 " " y[1] (numeric) = -1.8573292711530212 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.782019179338884000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3810000000000002 " " y[1] (analytic) = -1.8565865016732763 " " y[1] (numeric) = -1.8565865016732772 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.78393233441932850000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.38200000000000023 " " y[1] (analytic) = -1.8558418756071853 " " y[1] (numeric) = -1.8558418756071862 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.785851808681358400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.38300000000000023 " " y[1] (analytic) = -1.8550953936993735 " " y[1] (numeric) = -1.8550953936993742 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.59083321018177200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.38400000000000023 " " y[1] (analytic) = -1.8543470566963225 " " y[1] (numeric) = -1.8543470566963232 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.59228232045121100000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.38500000000000023 " " y[1] (analytic) = -1.8535968653463692 " " y[1] (numeric) = -1.85359686534637 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.593736195980337700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.38600000000000023 " " y[1] (analytic) = -1.8528448203997052 " " y[1] (numeric) = -1.8528448203997059 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.59519484546683250000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.38700000000000023 " " y[1] (analytic) = -1.852090922608375 " " y[1] (numeric) = -1.8520909226083757 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.596658277645195500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.38800000000000023 " " y[1] (analytic) = -1.8513351727262768 " " y[1] (numeric) = -1.8513351727262775 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.598126501286879600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.38900000000000023 " " y[1] (analytic) = -1.85057757150916 " " y[1] (numeric) = -1.8505775715091606 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.59959952520043100000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.39000000000000024 " " y[1] (analytic) = -1.849818119714626 " " y[1] (numeric) = -1.8498181197146264 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.400718238821084300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.39100000000000024 " " y[1] (analytic) = -1.8490568181021263 " " y[1] (numeric) = -1.8490568181021267 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.401706672842407500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.39200000000000024 " " y[1] (analytic) = -1.8482936674329626 " " y[1] (numeric) = -1.848293667432963 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.40269832481136120000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.39300000000000024 " " y[1] (analytic) = -1.8475286684702856 " " y[1] (numeric) = -1.847528668470286 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.403693200700149600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.39400000000000024 " " y[1] (analytic) = -1.846761821979094 " " y[1] (numeric) = -1.8467618219790944 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.40469130650617200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.39500000000000024 " " y[1] (analytic) = -1.8459931287262343 " " y[1] (numeric) = -1.8459931287262348 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.405692648252117400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.39600000000000024 " " y[1] (analytic) = -1.8452225894803997 " " y[1] (numeric) = -1.8452225894804002 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.40669723198605900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.39700000000000024 " " y[1] (analytic) = -1.8444502050121294 " " y[1] (numeric) = -1.8444502050121299 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.407705063781552200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.39800000000000024 " " y[1] (analytic) = -1.843675976093808 " " y[1] (numeric) = -1.8436759760938084 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.408716149737728800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.39900000000000024 " " y[1] (analytic) = -1.8428999034996638 " " y[1] (numeric) = -1.8428999034996645 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.61459574396909400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.40000000000000024 " " y[1] (analytic) = -1.84212198800577 " " y[1] (numeric) = -1.8421219880057704 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.410748108657132200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.40100000000000025 " " y[1] (analytic) = -1.8413422303900415 " " y[1] (numeric) = -1.841342230390042 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.41176899394738600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.40200000000000025 " " y[1] (analytic) = -1.8405606314322362 " " y[1] (numeric) = -1.8405606314322365 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.206396579026287300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.40300000000000025 " " y[1] (analytic) = -1.8397771919139527 " " y[1] (numeric) = -1.839777191913953 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.206910303600591800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.40400000000000025 " " y[1] (analytic) = -1.8389919126186307 " " y[1] (numeric) = -1.838991912618631 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.207425673823932800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.40500000000000025 " " y[1] (analytic) = -1.8382047943315492 " " y[1] (numeric) = -1.8382047943315496 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.415885385673540700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.40600000000000025 " " y[1] (analytic) = -1.8374158378398266 " " y[1] (numeric) = -1.837415837839827 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.416922727585497600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.40700000000000025 " " y[1] (analytic) = -1.8366250439324194 " " y[1] (numeric) = -1.8366250439324199 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.417963379717495400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.40800000000000025 " " y[1] (analytic) = -1.8358324134001214 " " y[1] (numeric) = -1.8358324134001218 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.419007348429864400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.40900000000000025 " " y[1] (analytic) = -1.8350379470355627 " " y[1] (numeric) = -1.8350379470355633 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.63008196016441460000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.41000000000000025 " " y[1] (analytic) = -1.83424164563321 " " y[1] (numeric) = -1.8342416456332107 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.631657891755770700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.41100000000000025 " " y[1] (analytic) = -1.8334435099893645 " " y[1] (numeric) = -1.8334435099893651 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.633238827079859300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.41200000000000025 " " y[1] (analytic) = -1.832643540902162 " " y[1] (numeric) = -1.8326435409021624 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.42321651722543520000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.41300000000000026 " " y[1] (analytic) = -1.8318417391715711 " " y[1] (numeric) = -1.8318417391715716 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.42427716518183900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.41400000000000026 " " y[1] (analytic) = -1.8310381055993936 " " y[1] (numeric) = -1.8310381055993943 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.63801175266657730000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.41500000000000026 " " y[1] (analytic) = -1.8302326409892633 " " y[1] (numeric) = -1.830232640989264 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.639612800343460000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.41600000000000026 " " y[1] (analytic) = -1.8294253461466443 " " y[1] (numeric) = -1.8294253461466452 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.854958534224495500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.41700000000000026 " " y[1] (analytic) = -1.8286162218788318 " " y[1] (numeric) = -1.8286162218788327 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.85710675139672860000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.41800000000000026 " " y[1] (analytic) = -1.8278052689949498 " " y[1] (numeric) = -1.8278052689949507 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.859261731904873600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.41900000000000026 " " y[1] (analytic) = -1.8269924883059512 " " y[1] (numeric) = -1.8269924883059518 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.64606761680096200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.42000000000000026 " " y[1] (analytic) = -1.8261778806246163 " " y[1] (numeric) = -1.8261778806246172 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.86359203626065900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.42100000000000026 " " y[1] (analytic) = -1.825361446765553 " " y[1] (numeric) = -1.825361446765554 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.865767386913600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.42200000000000026 " " y[1] (analytic) = -1.8245431875451952 " " y[1] (numeric) = -1.824543187545196 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.86794955451348770000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.42300000000000026 " " y[1] (analytic) = -1.8237231037818018 " " y[1] (numeric) = -1.8237231037818027 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.870138552603382500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.42400000000000027 " " y[1] (analytic) = -1.8229011962954567 " " y[1] (numeric) = -1.8229011962954575 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.87233439478290230000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.42500000000000027 " " y[1] (analytic) = -1.8220774659080672 " " y[1] (numeric) = -1.822077465908068 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.87453709470845430000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.42600000000000027 " " y[1] (analytic) = -1.8212519134433636 " " y[1] (numeric) = -1.8212519134433645 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.87674666609345660000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.42700000000000027 " " y[1] (analytic) = -1.820424539726898 " " y[1] (numeric) = -1.8204245397268992 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.09870390338570800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.42800000000000027 " " y[1] (analytic) = -1.819595345586045 " " y[1] (numeric) = -1.8195953455860459 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.88118647838190500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.42900000000000027 " " y[1] (analytic) = -1.8187643318499975 " " y[1] (numeric) = -1.8187643318499986 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.10427093374911300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.43000000000000027 " " y[1] (analytic) = -1.81793149934977 " " y[1] (numeric) = -1.817931499349771 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.10706742813057800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.43100000000000027 " " y[1] (analytic) = -1.8170968489181947 " " y[1] (numeric) = -1.8170968489181956 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.887898078899320400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4320000000000003 " " y[1] (analytic) = -1.8162603813899216 " " y[1] (numeric) = -1.8162603813899227 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.1126864628051900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4330000000000003 " " y[1] (analytic) = -1.8154220976014188 " " y[1] (numeric) = -1.8154220976014197 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.89240723065786640000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4340000000000003 " " y[1] (analytic) = -1.8145819983909695 " " y[1] (numeric) = -1.8145819983909703 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.894672274318233600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4350000000000003 " " y[1] (analytic) = -1.813740084598673 " " y[1] (numeric) = -1.813740084598674 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.89694431546211800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4360000000000003 " " y[1] (analytic) = -1.8128963570664431 " " y[1] (numeric) = -1.812896357066444 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.899223368385715600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4370000000000003 " " y[1] (analytic) = -1.8120508166380072 " " y[1] (numeric) = -1.812050816638008 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.901509447444797300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4380000000000003 " " y[1] (analytic) = -1.8112034641589057 " " y[1] (numeric) = -1.8112034641589065 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.90380256705494600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4390000000000003 " " y[1] (analytic) = -1.810354300476491 " " y[1] (numeric) = -1.8103543004764917 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.6795770562688496000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4400000000000003 " " y[1] (analytic) = -1.8095033264399265 " " y[1] (numeric) = -1.8095033264399274 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.90840998589129550000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4410000000000003 " " y[1] (analytic) = -1.8086505429001867 " " y[1] (numeric) = -1.8086505429001873 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.68304323568743500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4420000000000003 " " y[1] (analytic) = -1.8077959507100545 " " y[1] (numeric) = -1.8077959507100552 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.68478430606869200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4430000000000003 " " y[1] (analytic) = -1.8069395507241222 " " y[1] (numeric) = -1.8069395507241228 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.686530711600972700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4440000000000003 " " y[1] (analytic) = -1.8060813437987897 " " y[1] (numeric) = -1.8060813437987904 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.6882824633689700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4450000000000003 " " y[1] (analytic) = -1.805221330792264 " " y[1] (numeric) = -1.8052213307922647 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.690039572503529500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4460000000000003 " " y[1] (analytic) = -1.804359512564558 " " y[1] (numeric) = -1.8043595125645586 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.691802050181839400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4470000000000003 " " y[1] (analytic) = -1.8034958899774898 " " y[1] (numeric) = -1.8034958899774904 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.693569907627614600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4480000000000003 " " y[1] (analytic) = -1.8026304638946817 " " y[1] (numeric) = -1.8026304638946824 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.69534315611129400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4490000000000003 " " y[1] (analytic) = -1.8017632351815602 " " y[1] (numeric) = -1.801763235181561 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.69712180695022800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4500000000000003 " " y[1] (analytic) = -1.8008942047053536 " " y[1] (numeric) = -1.8008942047053542 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.698905871508876000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4510000000000003 " " y[1] (analytic) = -1.8000233733350923 " " y[1] (numeric) = -1.800023373335093 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.70069536119899340000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4520000000000003 " " y[1] (analytic) = -1.7991507419416077 " " y[1] (numeric) = -1.7991507419416084 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.702490287479834000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4530000000000003 " " y[1] (analytic) = -1.798276311397531 " " y[1] (numeric) = -1.7982763113975317 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.704290661858342000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4540000000000003 " " y[1] (analytic) = -1.797400082577293 " " y[1] (numeric) = -1.7974000825772936 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.70609649588935300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4550000000000003 " " y[1] (analytic) = -1.796522056357122 " " y[1] (numeric) = -1.7965220563571227 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.707907801175786600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4560000000000003 " " y[1] (analytic) = -1.7956422336150444 " " y[1] (numeric) = -1.795642233615045 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.70972458936885200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4570000000000003 " " y[1] (analytic) = -1.7947606152308828 " " y[1] (numeric) = -1.7947606152308835 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.711546872168245400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4580000000000003 " " y[1] (analytic) = -1.7938772020862555 " " y[1] (numeric) = -1.7938772020862563 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.95116621509647100000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4590000000000003 " " y[1] (analytic) = -1.7929919950645756 " " y[1] (numeric) = -1.7929919950645765 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.95361062483793750000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4600000000000003 " " y[1] (analytic) = -1.7921049950510501 " " y[1] (numeric) = -1.792104995051051 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.956062407910561400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4610000000000003 " " y[1] (analytic) = -1.791216202932679 " " y[1] (numeric) = -1.79121620293268 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.95852158017524600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4620000000000003 " " y[1] (analytic) = -1.7903256195982542 " " y[1] (numeric) = -1.790325619598255 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.96098815755890700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4630000000000003 " " y[1] (analytic) = -1.7894332459383588 " " y[1] (numeric) = -1.7894332459383597 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.963462156054747600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4640000000000003 " " y[1] (analytic) = -1.788539082845367 " " y[1] (numeric) = -1.7885390828453676 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.724457693791902000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4650000000000003 " " y[1] (analytic) = -1.7876431312134409 " " y[1] (numeric) = -1.7876431312134418 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.96843248068889100000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4660000000000003 " " y[1] (analytic) = -1.7867453919385328 " " y[1] (numeric) = -1.7867453919385337 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.97092883914755400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4670000000000003 " " y[1] (analytic) = -1.7858458659183816 " " y[1] (numeric) = -1.7858458659183825 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.973432683359682600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4680000000000003 " " y[1] (analytic) = -1.7849445540525133 " " y[1] (numeric) = -1.7849445540525142 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.97594402965412740000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4690000000000003 " " y[1] (analytic) = -1.7840414572422398 " " y[1] (numeric) = -1.7840414572422405 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.73384717082079150000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4700000000000003 " " y[1] (analytic) = -1.7831365763906577 " " y[1] (numeric) = -1.7831365763906584 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.735741970609178000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4710000000000003 " " y[1] (analytic) = -1.7822299124026477 " " y[1] (numeric) = -1.7822299124026484 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.73764243400600400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4720000000000003 " " y[1] (analytic) = -1.7813214661848737 " " y[1] (numeric) = -1.7813214661848746 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.98606476461753930000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4730000000000003 " " y[1] (analytic) = -1.7804112386457822 " " y[1] (numeric) = -1.780411238645783 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.98861386864583150000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4740000000000003 " " y[1] (analytic) = -1.7794992306956003 " " y[1] (numeric) = -1.7794992306956012 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.991170574167313500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4750000000000003 " " y[1] (analytic) = -1.7785854432463362 " " y[1] (numeric) = -1.778585443246337 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.993734897992817600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4760000000000003 " " y[1] (analytic) = -1.777669877211777 " " y[1] (numeric) = -1.7776698772117778 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.99630685700320800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4770000000000003 " " y[1] (analytic) = -1.7767525335074885 " " y[1] (numeric) = -1.7767525335074894 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.99888646814968400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4780000000000003 " " y[1] (analytic) = -1.7758334130508147 " " y[1] (numeric) = -1.7758334130508155 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.00147374845407500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4790000000000003 " " y[1] (analytic) = -1.774912516760876 " " y[1] (numeric) = -1.7749125167608766 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.75305153625686200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4800000000000003 " " y[1] (analytic) = -1.773989845558568 " " y[1] (numeric) = -1.7739898455585688 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.75500353873418850000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4810000000000003 " " y[1] (analytic) = -1.7730654003665627 " " y[1] (numeric) = -1.7730654003665633 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.756961331699201000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4820000000000003 " " y[1] (analytic) = -1.7721391821093047 " " y[1] (numeric) = -1.7721391821093053 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.75892492813246270000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4830000000000003 " " y[1] (analytic) = -1.771211191713012 " " y[1] (numeric) = -1.771211191713013 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.01452578809154300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4840000000000003 " " y[1] (analytic) = -1.7702814301056755 " " y[1] (numeric) = -1.7702814301056762 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.76286958359682730000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4850000000000003 " " y[1] (analytic) = -1.7693498982170563 " " y[1] (numeric) = -1.769349898217057 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.76485066886061150000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4860000000000003 " " y[1] (analytic) = -1.7684165969786865 " " y[1] (numeric) = -1.7684165969786871 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.766837610058476600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4870000000000003 " " y[1] (analytic) = -1.7674815273238669 " " y[1] (numeric) = -1.7674815273238675 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.768830420443959000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4880000000000003 " " y[1] (analytic) = -1.7665446901876671 " " y[1] (numeric) = -1.766544690187668 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.02777215110120100000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4890000000000003 " " y[1] (analytic) = -1.7656060865069247 " " y[1] (numeric) = -1.7656060865069254 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.77283370206869400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4900000000000003 " " y[1] (analytic) = -1.7646657172202427 " " y[1] (numeric) = -1.7646657172202436 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.033125600123359000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4910000000000003 " " y[1] (analytic) = -1.7637235832679905 " " y[1] (numeric) = -1.7637235832679914 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.0358141611647900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4920000000000003 " " y[1] (analytic) = -1.7627796855923021 " " y[1] (numeric) = -1.762779685592303 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.038510637259206000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4930000000000003 " " y[1] (analytic) = -1.761834025137075 " " y[1] (numeric) = -1.7618340251370759 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.04121504652529800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4940000000000003 " " y[1] (analytic) = -1.7608866028479697 " " y[1] (numeric) = -1.7608866028479704 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.78294555536808800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.49500000000000033 " " y[1] (analytic) = -1.7599374196724082 " " y[1] (numeric) = -1.759937419672409 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.7849858030695600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.49600000000000033 " " y[1] (analytic) = -1.7589864765595735 " " y[1] (numeric) = -1.7589864765595744 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.049376055677960000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.49700000000000033 " " y[1] (analytic) = -1.758033774460409 " " y[1] (numeric) = -1.75803377446041 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.05211238033656400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.49800000000000033 " " y[1] (analytic) = -1.7570793143276167 " " y[1] (numeric) = -1.7570793143276175 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.054856729902403000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.49900000000000033 " " y[1] (analytic) = -1.7561230971156563 " " y[1] (numeric) = -1.7561230971156572 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.057609122953359000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5000000000000003 " " y[1] (analytic) = -1.755165123780745 " " y[1] (numeric) = -1.755165123780746 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.06036957814503900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5010000000000003 " " y[1] (analytic) = -1.7542053952808565 " " y[1] (numeric) = -1.7542053952808574 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.063138114211100000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5020000000000003 " " y[1] (analytic) = -1.7532439125757187 " " y[1] (numeric) = -1.7532439125757195 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.06591474996361500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5030000000000003 " " y[1] (analytic) = -1.7522806766268144 " " y[1] (numeric) = -1.7522806766268153 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.068699504293408000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5040000000000003 " " y[1] (analytic) = -1.7513156883973797 " " y[1] (numeric) = -1.7513156883973804 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.803619297127805000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5050000000000003 " " y[1] (analytic) = -1.7503489488524024 " " y[1] (numeric) = -1.750348948852403 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.80572008348299630000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5060000000000003 " " y[1] (analytic) = -1.7493804589586222 " " y[1] (numeric) = -1.7493804589586228 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.80782700163252400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5070000000000003 " " y[1] (analytic) = -1.7484102196845286 " " y[1] (numeric) = -1.7484102196845293 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.80994006598340900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5080000000000003 " " y[1] (analytic) = -1.7474382320003612 " " y[1] (numeric) = -1.7474382320003619 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.81205929100306100000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5090000000000003 " " y[1] (analytic) = -1.7464644968781073 " " y[1] (numeric) = -1.746464496878108 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.81418469121955500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5100000000000003 " " y[1] (analytic) = -1.7454890152915021 " " y[1] (numeric) = -1.7454890152915028 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.816316281221898700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5110000000000003 " " y[1] (analytic) = -1.7445117882160273 " " y[1] (numeric) = -1.7445117882160277 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.545636050440204000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5120000000000003 " " y[1] (analytic) = -1.7435328166289095 " " y[1] (numeric) = -1.74353281662891 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.547065392830984400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5130000000000003 " " y[1] (analytic) = -1.74255210150912 " " y[1] (numeric) = -1.7425521015091208 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.82274833675386450000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5140000000000003 " " y[1] (analytic) = -1.7415696438373747 " " y[1] (numeric) = -1.7415696438373753 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.82490483301795900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5150000000000003 " " y[1] (analytic) = -1.7405854445961306 " " y[1] (numeric) = -1.740585444596131 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.55137839529104500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5160000000000003 " " y[1] (analytic) = -1.739599504769587 " " y[1] (numeric) = -1.7395995047695874 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.552824420980064000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5170000000000003 " " y[1] (analytic) = -1.7386118253436833 " " y[1] (numeric) = -1.7386118253436837 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.554274642427883400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5180000000000003 " " y[1] (analytic) = -1.7376224073060993 " " y[1] (numeric) = -1.7376224073060997 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.555729069692135300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5190000000000003 " " y[1] (analytic) = -1.7366312516462528 " " y[1] (numeric) = -1.7366312516462532 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.557187712872752000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5200000000000004 " " y[1] (analytic) = -1.7356383593552995 " " y[1] (numeric) = -1.7356383593552998 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.279325291056078500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5210000000000004 " " y[1] (analytic) = -1.7346437314261314 " " y[1] (numeric) = -1.7346437314261316 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.280058843797729500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5220000000000004 " " y[1] (analytic) = -1.7336473688533762 " " y[1] (numeric) = -1.7336473688533767 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.56158903955064700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5230000000000004 " " y[1] (analytic) = -1.7326492726333969 " " y[1] (numeric) = -1.7326492726333973 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.563064648248782300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5240000000000004 " " y[1] (analytic) = -1.7316494437642893 " " y[1] (numeric) = -1.7316494437642898 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.564544524004200000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5250000000000004 " " y[1] (analytic) = -1.7306478832458823 " " y[1] (numeric) = -1.7306478832458827 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.566028677174700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5260000000000004 " " y[1] (analytic) = -1.729644592079736 " " y[1] (numeric) = -1.7296445920797365 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.567517118161753400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5270000000000004 " " y[1] (analytic) = -1.728639571269142 " " y[1] (numeric) = -1.7286395712691425 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.569009857410697000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5280000000000004 " " y[1] (analytic) = -1.7276328218191208 " " y[1] (numeric) = -1.7276328218191213 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.570506905410933000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5290000000000004 " " y[1] (analytic) = -1.7266243447364216 " " y[1] (numeric) = -1.7266243447364222 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.858012409044208600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5300000000000004 " " y[1] (analytic) = -1.7256141410295216 " " y[1] (numeric) = -1.7256141410295223 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.860270954766693600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5310000000000004 " " y[1] (analytic) = -1.7246022117086244 " " y[1] (numeric) = -1.724602211708625 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.86253601121809800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5320000000000004 " " y[1] (analytic) = -1.7235885577856593 " " y[1] (numeric) = -1.7235885577856598 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.576538396266659000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5330000000000004 " " y[1] (analytic) = -1.7225731802742799 " " y[1] (numeric) = -1.7225731802742805 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.867085720381572300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5340000000000004 " " y[1] (analytic) = -1.7215560801898637 " " y[1] (numeric) = -1.7215560801898644 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.86937040530000440000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5350000000000004 " " y[1] (analytic) = -1.7205372585495111 " " y[1] (numeric) = -1.7205372585495116 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.581107776907135600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5360000000000004 " " y[1] (analytic) = -1.719516716372043 " " y[1] (numeric) = -1.7195167163720435 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.58263967789178100000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5370000000000004 " " y[1] (analytic) = -1.718494454678002 " " y[1] (numeric) = -1.7184944546780025 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.58417598404920400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5380000000000004 " " y[1] (analytic) = -1.7174704744896494 " " y[1] (numeric) = -1.71747047448965 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.87857505948122460000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5390000000000004 " " y[1] (analytic) = -1.7164447768309656 " " y[1] (numeric) = -1.716444776830966 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.587261855694389400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5400000000000004 " " y[1] (analytic) = -1.7154173627276479 " " y[1] (numeric) = -1.7154173627276483 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.58881144320427100000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5410000000000004 " " y[1] (analytic) = -1.7143882332071105 " " y[1] (numeric) = -1.714388233207111 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.590365479931600600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5420000000000004 " " y[1] (analytic) = -1.7133573892984826 " " y[1] (numeric) = -1.7133573892984832 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.88788596550679930000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5430000000000004 " " y[1] (analytic) = -1.7123248320326083 " " y[1] (numeric) = -1.712324832032609 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.89023041839767300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5440000000000004 " " y[1] (analytic) = -1.7112905624420447 " " y[1] (numeric) = -1.7112905624420454 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.89258159540427800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5450000000000004 " " y[1] (analytic) = -1.7102545815610612 " " y[1] (numeric) = -1.710254581561062 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.894939513432380500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5460000000000004 " " y[1] (analytic) = -1.7092168904256386 " " y[1] (numeric) = -1.7092168904256393 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.897304189459593000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5470000000000004 " " y[1] (analytic) = -1.708177490073468 " " y[1] (numeric) = -1.7081774900734688 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.899675640535713600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5480000000000004 " " y[1] (analytic) = -1.7071363815439498 " " y[1] (numeric) = -1.7071363815439504 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.90205388378306650000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5490000000000004 " " y[1] (analytic) = -1.7060935658781924 " " y[1] (numeric) = -1.7060935658781928 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.602959290931226000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5500000000000004 " " y[1] (analytic) = -1.7050490441190111 " " y[1] (numeric) = -1.7050490441190116 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.604553877096954000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5510000000000004 " " y[1] (analytic) = -1.7040028173109278 " " y[1] (numeric) = -1.7040028173109283 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.606153025913865400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5520000000000004 " " y[1] (analytic) = -1.7029548865001694 " " y[1] (numeric) = -1.7029548865001698 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.60775674899253100000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5530000000000004 " " y[1] (analytic) = -1.701905252734666 " " y[1] (numeric) = -1.7019052527346665 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.609365057993025500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5540000000000004 " " y[1] (analytic) = -1.700853917064052 " " y[1] (numeric) = -1.7008539170640524 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.61097796462515800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5550000000000004 " " y[1] (analytic) = -1.6998008805396625 " " y[1] (numeric) = -1.699800880539663 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.612595480648713400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5560000000000004 " " y[1] (analytic) = -1.6987461442145344 " " y[1] (numeric) = -1.6987461442145346 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.307108808936842000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5570000000000004 " " y[1] (analytic) = -1.6976897091434033 " " y[1] (numeric) = -1.6976897091434038 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.615844388160513700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5580000000000004 " " y[1] (analytic) = -1.6966315763827047 " " y[1] (numeric) = -1.6966315763827051 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.617475803420333000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5590000000000004 " " y[1] (analytic) = -1.6955717469905711 " " y[1] (numeric) = -1.6955717469905716 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.61911187561520600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5600000000000004 " " y[1] (analytic) = -1.6945102220268318 " " y[1] (numeric) = -1.6945102220268322 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.620752616758370000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5610000000000004 " " y[1] (analytic) = -1.6934470025530117 " " y[1] (numeric) = -1.6934470025530122 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.622398038914482400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5620000000000004 " " y[1] (analytic) = -1.6923820896323303 " " y[1] (numeric) = -1.6923820896323307 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.624048154199864500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5630000000000004 " " y[1] (analytic) = -1.6913154843297 " " y[1] (numeric) = -1.6913154843297005 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.62570297478275300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5640000000000004 " " y[1] (analytic) = -1.6902471877117264 " " y[1] (numeric) = -1.6902471877117269 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.62736251288354500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5650000000000004 " " y[1] (analytic) = -1.689177200846706 " " y[1] (numeric) = -1.6891772008467065 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.6290267807750500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5660000000000004 " " y[1] (analytic) = -1.6881055248046255 " " y[1] (numeric) = -1.688105524804626 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.630695790782745500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5670000000000004 " " y[1] (analytic) = -1.687032160657161 " " y[1] (numeric) = -1.6870321606571614 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.632369555285025000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5680000000000004 " " y[1] (analytic) = -1.6859571094776764 " " y[1] (numeric) = -1.6859571094776769 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.634048086713458600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5690000000000004 " " y[1] (analytic) = -1.6848803723412227 " " y[1] (numeric) = -1.6848803723412231 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.63573139755304500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5700000000000004 " " y[1] (analytic) = -1.683801950324537 " " y[1] (numeric) = -1.6838019503245376 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.95612925051371360000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5710000000000004 " " y[1] (analytic) = -1.6827218445060415 " " y[1] (numeric) = -1.6827218445060421 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.95866861151158160000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5720000000000004 " " y[1] (analytic) = -1.6816400559658415 " " y[1] (numeric) = -1.6816400559658422 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.9612151982934500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5730000000000004 " " y[1] (analytic) = -1.6805565857857259 " " y[1] (numeric) = -1.6805565857857265 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.963769029911303000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5740000000000004 " " y[1] (analytic) = -1.6794714350491644 " " y[1] (numeric) = -1.679471435049165 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.96633012549923900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5750000000000004 " " y[1] (analytic) = -1.6783846048413078 " " y[1] (numeric) = -1.6783846048413085 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.968898504273859500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5760000000000004 " " y[1] (analytic) = -1.6772960962489862 " " y[1] (numeric) = -1.677296096248987 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.97147418553467900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5770000000000004 " " y[1] (analytic) = -1.6762059103607083 " " y[1] (numeric) = -1.676205910360709 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.974057188664526500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5780000000000004 " " y[1] (analytic) = -1.6751140482666598 " " y[1] (numeric) = -1.6751140482666602 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.651098355419968000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5790000000000004 " " y[1] (analytic) = -1.6740205110587023 " " y[1] (numeric) = -1.674020511058703 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.97924523848163800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5800000000000004 " " y[1] (analytic) = -1.6729252998303734 " " y[1] (numeric) = -1.672925299830374 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.981850324354809000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5810000000000004 " " y[1] (analytic) = -1.6718284156768841 " " y[1] (numeric) = -1.6718284156768848 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.984462810469649500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5820000000000004 " " y[1] (analytic) = -1.6707298596951183 " " y[1] (numeric) = -1.670729859695119 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.98708271663171700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5830000000000004 " " y[1] (analytic) = -1.6696296329836322 " " y[1] (numeric) = -1.6696296329836329 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.98971006273236300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5840000000000004 " " y[1] (analytic) = -1.6685277366426523 " " y[1] (numeric) = -1.668527736642653 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.99234486874915800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5850000000000004 " " y[1] (analytic) = -1.6674241717740748 " " y[1] (numeric) = -1.6674241717740754 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.99498715474631340000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5860000000000004 " " y[1] (analytic) = -1.6663189394814644 " " y[1] (numeric) = -1.666318939481465 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.9976369408751100000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5870000000000004 " " y[1] (analytic) = -1.6652120408700533 " " y[1] (numeric) = -1.665212040870054 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.000294247374328600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5880000000000004 " " y[1] (analytic) = -1.66410347704674 " " y[1] (numeric) = -1.6641034770467409 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.33727879276090700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5890000000000004 " " y[1] (analytic) = -1.6629932491200885 " " y[1] (numeric) = -1.6629932491200894 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.34084200383899400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5900000000000004 " " y[1] (analytic) = -1.6618813582003265 " " y[1] (numeric) = -1.6618813582003273 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.344415323738546000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5910000000000004 " " y[1] (analytic) = -1.6607678053993449 " " y[1] (numeric) = -1.6607678053993455 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.010999084937805000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5920000000000004 " " y[1] (analytic) = -1.659652591830696 " " y[1] (numeric) = -1.6596525918306968 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.351592399951676000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5930000000000004 " " y[1] (analytic) = -1.6585357186095937 " " y[1] (numeric) = -1.6585357186095946 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.35519621153962900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5940000000000004 " " y[1] (analytic) = -1.657417186852911 " " y[1] (numeric) = -1.657417186852912 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.35881024249899600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5950000000000004 " " y[1] (analytic) = -1.6562969976791797 " " y[1] (numeric) = -1.6562969976791806 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.36243452076922100000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5960000000000004 " " y[1] (analytic) = -1.6551751522085885 " " y[1] (numeric) = -1.6551751522085896 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.70758634301467600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5970000000000004 " " y[1] (analytic) = -1.6540516515629833 " " y[1] (numeric) = -1.6540516515629842 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.36971393161058700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5980000000000004 " " y[1] (analytic) = -1.6529264968658641 " " y[1] (numeric) = -1.652926496865865 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.37336912067301300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5990000000000004 " " y[1] (analytic) = -1.6517996892423858 " " y[1] (numeric) = -1.6517996892423867 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.37703467003009900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6000000000000004 " " y[1] (analytic) = -1.6506712298193562 " " y[1] (numeric) = -1.6506712298193569 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.03553295617803500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6010000000000004 " " y[1] (analytic) = -1.649541119725234 " " y[1] (numeric) = -1.6495411197252348 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.038297722981604700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6020000000000004 " " y[1] (analytic) = -1.6484093600901297 " " y[1] (numeric) = -1.6484093600901304 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.041070324538025300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6030000000000004 " " y[1] (analytic) = -1.6472759520458027 " " y[1] (numeric) = -1.6472759520458033 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.04385078254679700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6040000000000004 " " y[1] (analytic) = -1.646140896725661 " " y[1] (numeric) = -1.6461408967256614 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.697759412535103000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6050000000000004 " " y[1] (analytic) = -1.6450041952647596 " " y[1] (numeric) = -1.64500419526476 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.69962357013069800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6060000000000004 " " y[1] (analytic) = -1.6438658487998 " " y[1] (numeric) = -1.6438658487998006 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.052239513713626300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6070000000000004 " " y[1] (analytic) = -1.6427258584691287 " " y[1] (numeric) = -1.6427258584691293 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.055051616438729600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6080000000000004 " " y[1] (analytic) = -1.6415842254127357 " " y[1] (numeric) = -1.6415842254127364 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.057871685551870400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6090000000000004 " " y[1] (analytic) = -1.6404409507722542 " " y[1] (numeric) = -1.6404409507722548 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.06069974333123500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6100000000000004 " " y[1] (analytic) = -1.6392960356909585 " " y[1] (numeric) = -1.6392960356909592 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.06353581215317450000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6110000000000004 " " y[1] (analytic) = -1.6381494813137638 " " y[1] (numeric) = -1.6381494813137645 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.066379914492709300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6120000000000004 " " y[1] (analytic) = -1.6370012887872243 " " y[1] (numeric) = -1.637001288787225 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.06923207292402600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6130000000000004 " " y[1] (analytic) = -1.6358514592595326 " " y[1] (numeric) = -1.635851459259533 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.714728206747325000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6140000000000004 " " y[1] (analytic) = -1.6346999938805178 " " y[1] (numeric) = -1.6346999938805182 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.716640432571762000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6150000000000004 " " y[1] (analytic) = -1.6335468938016453 " " y[1] (numeric) = -1.6335468938016457 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.718558074672489000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6160000000000004 " " y[1] (analytic) = -1.6323921601760152 " " y[1] (numeric) = -1.6323921601760156 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.720481148366812000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6170000000000004 " " y[1] (analytic) = -1.6312357941583608 " " y[1] (numeric) = -1.6312357941583613 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.722409669039853600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6180000000000004 " " y[1] (analytic) = -1.6300777969050484 " " y[1] (numeric) = -1.6300777969050488 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.724343652144909000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6190000000000004 " " y[1] (analytic) = -1.6289181695740746 " " y[1] (numeric) = -1.6289181695740753 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.08942466980568400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6200000000000004 " " y[1] (analytic) = -1.6277569133250673 " " y[1] (numeric) = -1.627756913325068 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.092342101710768600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6210000000000004 " " y[1] (analytic) = -1.6265940293192822 " " y[1] (numeric) = -1.6265940293192829 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.095267797422484000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6220000000000004 " " y[1] (analytic) = -1.6254295187196035 " " y[1] (numeric) = -1.625429518719604 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.732134520356712700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6230000000000004 " " y[1] (analytic) = -1.6242633826905413 " " y[1] (numeric) = -1.624263382690542 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.101144074747681300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6240000000000004 " " y[1] (analytic) = -1.6230956223982318 " " y[1] (numeric) = -1.6230956223982325 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.104094703864933000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6250000000000004 " " y[1] (analytic) = -1.6219262390104352 " " y[1] (numeric) = -1.6219262390104359 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.10705369179743650000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6260000000000004 " " y[1] (analytic) = -1.620755233696535 " " y[1] (numeric) = -1.6207552336965354 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.740014041708240000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6270000000000004 " " y[1] (analytic) = -1.6195826076275357 " " y[1] (numeric) = -1.6195826076275364 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.112996840283978000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6280000000000004 " " y[1] (analytic) = -1.618408361976064 " " y[1] (numeric) = -1.6184083619760645 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.7439873661294800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6290000000000004 " " y[1] (analytic) = -1.6172324979163653 " " y[1] (numeric) = -1.6172324979163657 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.745982475755496000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6300000000000004 " " y[1] (analytic) = -1.6160550166243033 " " y[1] (numeric) = -1.6160550166243037 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.747983238699994000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6310000000000004 " " y[1] (analytic) = -1.6148759192773592 " " y[1] (numeric) = -1.6148759192773599 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.12498450700275600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6320000000000005 " " y[1] (analytic) = -1.6136952070546307 " " y[1] (numeric) = -1.613695207054631 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.75200179010650200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6330000000000005 " " y[1] (analytic) = -1.6125128811368294 " " y[1] (numeric) = -1.61251288113683 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.754019611533134500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6340000000000005 " " y[1] (analytic) = -1.6113289427062814 " " y[1] (numeric) = -1.6113289427062818 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.756043152208262300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6350000000000005 " " y[1] (analytic) = -1.610143392946925 " " y[1] (numeric) = -1.6101433929469253 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.379036214399760000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6360000000000005 " " y[1] (analytic) = -1.60895623304431 " " y[1] (numeric) = -1.6089562330443101 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.380053729024687000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6370000000000005 " " y[1] (analytic) = -1.6077674641855957 " " y[1] (numeric) = -1.607767464185596 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.381074128387755300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6380000000000005 " " y[1] (analytic) = -1.6065770875595513 " " y[1] (numeric) = -1.6065770875595515 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.382097420935618500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6390000000000005 " " y[1] (analytic) = -1.6053851043565532 " " y[1] (numeric) = -1.6053851043565535 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.383123615152938300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6400000000000005 " " y[1] (analytic) = -1.6041915157685847 " " y[1] (numeric) = -1.6041915157685849 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.384152719562585800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6410000000000005 " " y[1] (analytic) = -1.602996322989234 " " y[1] (numeric) = -1.6029963229892341 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.385184742725842000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6420000000000005 " " y[1] (analytic) = -1.6017995272136938 " " y[1] (numeric) = -1.601799527213694 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.38621969324260300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6430000000000005 " " y[1] (analytic) = -1.6006011296387601 " " y[1] (numeric) = -1.6006011296387601 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6440000000000005 " " y[1] (analytic) = -1.59940113146283 " " y[1] (numeric) = -1.59940113146283 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6450000000000005 " " y[1] (analytic) = -1.5981995338859016 " " y[1] (numeric) = -1.5981995338859019 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.389342195496369700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6460000000000005 " " y[1] (analytic) = -1.5969963381095726 " " y[1] (numeric) = -1.5969963381095729 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.390388942205554600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6470000000000005 " " y[1] (analytic) = -1.5957915453370388 " " y[1] (numeric) = -1.5957915453370388 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6480000000000005 " " y[1] (analytic) = -1.5945851567730924 " " y[1] (numeric) = -1.5945851567730924 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6490000000000005 " " y[1] (analytic) = -1.5933771736241222 " " y[1] (numeric) = -1.5933771736241222 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6500000000000005 " " y[1] (analytic) = -1.592167597098111 " " y[1] (numeric) = -1.592167597098111 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6510000000000005 " " y[1] (analytic) = -1.5909564284046356 " " y[1] (numeric) = -1.5909564284046356 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6520000000000005 " " y[1] (analytic) = -1.5897436687548643 " " y[1] (numeric) = -1.5897436687548643 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6530000000000005 " " y[1] (analytic) = -1.5885293193615566 " " y[1] (numeric) = -1.5885293193615566 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6540000000000005 " " y[1] (analytic) = -1.587313381439062 " " y[1] (numeric) = -1.587313381439062 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6550000000000005 " " y[1] (analytic) = -1.5860958562033183 " " y[1] (numeric) = -1.5860958562033183 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6560000000000005 " " y[1] (analytic) = -1.5848767448718506 " " y[1] (numeric) = -1.5848767448718506 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6570000000000005 " " y[1] (analytic) = -1.58365604866377 " " y[1] (numeric) = -1.58365604866377 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6580000000000005 " " y[1] (analytic) = -1.5824337687997727 " " y[1] (numeric) = -1.5824337687997727 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6590000000000005 " " y[1] (analytic) = -1.5812099065021386 " " y[1] (numeric) = -1.5812099065021386 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6600000000000005 " " y[1] (analytic) = -1.5799844629947295 " " y[1] (numeric) = -1.5799844629947297 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.405359420460149000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6610000000000005 " " y[1] (analytic) = -1.5787574395029893 " " y[1] (numeric) = -1.5787574395029895 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.406451677560635600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6620000000000005 " " y[1] (analytic) = -1.577528837253941 " " y[1] (numeric) = -1.5775288372539413 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.40754704244615900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6630000000000005 " " y[1] (analytic) = -1.5762986574761872 " " y[1] (numeric) = -1.5762986574761872 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6640000000000005 " " y[1] (analytic) = -1.575066901399907 " " y[1] (numeric) = -1.5750669013999072 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.409747133456235000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6650000000000005 " " y[1] (analytic) = -1.5738335702568569 " " y[1] (numeric) = -1.5738335702568569 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6660000000000005 " " y[1] (analytic) = -1.5725986652803674 " " y[1] (numeric) = -1.5725986652803676 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.411959769693970600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6670000000000005 " " y[1] (analytic) = -1.5713621877053439 " " y[1] (numeric) = -1.571362187705344 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.413070816278724800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6680000000000005 " " y[1] (analytic) = -1.5701241387682634 " " y[1] (numeric) = -1.5701241387682638 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.828370056130996600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6690000000000005 " " y[1] (analytic) = -1.5688845197071752 " " y[1] (numeric) = -1.5688845197071755 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.415302414778589800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6700000000000005 " " y[1] (analytic) = -1.567643331761698 " " y[1] (numeric) = -1.5676433317616982 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.416422986187172700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6710000000000005 " " y[1] (analytic) = -1.5664005761730195 " " y[1] (numeric) = -1.56640057617302 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.835093504211083600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6720000000000005 " " y[1] (analytic) = -1.5651562541838957 " " y[1] (numeric) = -1.565156254183896 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.418673722393358800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6730000000000005 " " y[1] (analytic) = -1.5639103670386478 " " y[1] (numeric) = -1.5639103670386483 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.83960781391180700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6740000000000005 " " y[1] (analytic) = -1.5626629159831633 " " y[1] (numeric) = -1.5626629159831638 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.841874631488646700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6750000000000005 " " y[1] (analytic) = -1.5614139022648932 " " y[1] (numeric) = -1.5614139022648936 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.844147917511772300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6760000000000005 " " y[1] (analytic) = -1.5601633271328508 " " y[1] (numeric) = -1.5601633271328512 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.846427692068470600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6770000000000005 " " y[1] (analytic) = -1.5589111918376113 " " y[1] (numeric) = -1.5589111918376117 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.84871397533928600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6780000000000005 " " y[1] (analytic) = -1.5576574976313098 " " y[1] (numeric) = -1.5576574976313102 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.851006787598543400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6790000000000005 " " y[1] (analytic) = -1.5564022457676405 " " y[1] (numeric) = -1.556402245767641 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.8533061492148600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6800000000000005 " " y[1] (analytic) = -1.5551454375018552 " " y[1] (numeric) = -1.5551454375018556 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.855612080651671600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6810000000000005 " " y[1] (analytic) = -1.553887074090762 " " y[1] (numeric) = -1.5538870740907624 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.857924602467756000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6820000000000005 " " y[1] (analytic) = -1.5526271567927241 " " y[1] (numeric) = -1.5526271567927246 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.860243735317767300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6830000000000005 " " y[1] (analytic) = -1.5513656868676589 " " y[1] (numeric) = -1.5513656868676593 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.86256949995276100000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6840000000000005 " " y[1] (analytic) = -1.5501026655770362 " " y[1] (numeric) = -1.5501026655770365 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.432450958610368700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6850000000000005 " " y[1] (analytic) = -1.5488380941838769 " " y[1] (numeric) = -1.5488380941838773 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.86724100806717840000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6860000000000005 " " y[1] (analytic) = -1.5475719739527525 " " y[1] (numeric) = -1.547571973952753 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.86958679353559230000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6870000000000005 " " y[1] (analytic) = -1.5463043061497832 " " y[1] (numeric) = -1.5463043061497836 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.87193929476806200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6880000000000005 " " y[1] (analytic) = -1.5450350920426366 " " y[1] (numeric) = -1.545035092042637 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.87429853300579700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6890000000000005 " " y[1] (analytic) = -1.5437643329005268 " " y[1] (numeric) = -1.543764332900527 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.43833226479484180000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6900000000000005 " " y[1] (analytic) = -1.5424920299942126 " " y[1] (numeric) = -1.5424920299942129 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.43951865298042690000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6910000000000005 " " y[1] (analytic) = -1.541218184595997 " " y[1] (numeric) = -1.5412181845959974 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.881416883661236400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6920000000000005 " " y[1] (analytic) = -1.539942797979725 " " y[1] (numeric) = -1.5399427979797256 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.88380328433413300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6930000000000005 " " y[1] (analytic) = -1.5386658714207837 " " y[1] (numeric) = -1.5386658714207841 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.886196529724783000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6940000000000005 " " y[1] (analytic) = -1.537387406196099 " " y[1] (numeric) = -1.5373874061960995 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.888596641680942000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6950000000000005 " " y[1] (analytic) = -1.5361074035841364 " " y[1] (numeric) = -1.5361074035841369 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.89100364215345500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6960000000000005 " " y[1] (analytic) = -1.534825864864898 " " y[1] (numeric) = -1.5348258648648987 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.34012632979526900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6970000000000005 " " y[1] (analytic) = -1.5335427913199229 " " y[1] (numeric) = -1.5335427913199235 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.34375759545484500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6980000000000005 " " y[1] (analytic) = -1.5322581842322842 " " y[1] (numeric) = -1.5322581842322849 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.34739929360436500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6990000000000005 " " y[1] (analytic) = -1.530972044886589 " " y[1] (numeric) = -1.5309720448865896 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.35105145779745240000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7000000000000005 " " y[1] (analytic) = -1.529684374568976 " " y[1] (numeric) = -1.529684374568977 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.80628549566239800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7010000000000005 " " y[1] (analytic) = -1.5283951745671165 " " y[1] (numeric) = -1.5283951745671174 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.8111830924334200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7020000000000005 " " y[1] (analytic) = -1.5271044461702095 " " y[1] (numeric) = -1.5271044461702106 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.27011847427633100000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7030000000000005 " " y[1] (analytic) = -1.5258121906689837 " " y[1] (numeric) = -1.5258121906689848 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.27627575277390900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7040000000000005 " " y[1] (analytic) = -1.5245184093556945 " " y[1] (numeric) = -1.5245184093556954 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.82596060663836200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7050000000000005 " " y[1] (analytic) = -1.5232231035241228 " " y[1] (numeric) = -1.5232231035241237 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.83091483870773300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7060000000000005 " " y[1] (analytic) = -1.5219262744695745 " " y[1] (numeric) = -1.5219262744695754 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.8358833446756500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7070000000000005 " " y[1] (analytic) = -1.5206279234888787 " " y[1] (numeric) = -1.5206279234888795 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.84086617101123500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7080000000000005 " " y[1] (analytic) = -1.519328051880386 " " y[1] (numeric) = -1.5193280518803869 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.84586336440558200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7090000000000005 " " y[1] (analytic) = -1.518026660943968 " " y[1] (numeric) = -1.518026660943969 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.85087497177303400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7100000000000005 " " y[1] (analytic) = -1.5167237519810157 " " y[1] (numeric) = -1.5167237519810166 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.85590104025246500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7110000000000005 " " y[1] (analytic) = -1.5154193262944378 " " y[1] (numeric) = -1.5154193262944387 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.86094161720857600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7120000000000005 " " y[1] (analytic) = -1.5141133851886597 " " y[1] (numeric) = -1.5141133851886608 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.33249593779148800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7130000000000005 " " y[1] (analytic) = -1.5128059299696228 " " y[1] (numeric) = -1.5128059299696237 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.87106648714656900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7140000000000005 " " y[1] (analytic) = -1.5114969619447818 " " y[1] (numeric) = -1.511496961944783 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.34518859499841500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7150000000000005 " " y[1] (analytic) = -1.510186482423105 " " y[1] (numeric) = -1.510186482423106 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.88124996507078100000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7160000000000005 " " y[1] (analytic) = -1.5088744927150715 " " y[1] (numeric) = -1.5088744927150726 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.35795475359530600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7170000000000005 " " y[1] (analytic) = -1.507560994132671 " " y[1] (numeric) = -1.5075609941326722 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.36436554770302600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7180000000000005 " " y[1] (analytic) = -1.5062459879894021 " " y[1] (numeric) = -1.5062459879894032 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.37079489988967200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7190000000000005 " " y[1] (analytic) = -1.504929475600271 " " y[1] (numeric) = -1.5049294756002718 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.90179429734312100000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7200000000000005 " " y[1] (analytic) = -1.5036114582817892 " " y[1] (numeric) = -1.5036114582817903 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.38370952489171200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7210000000000005 " " y[1] (analytic) = -1.5022919373519747 " " y[1] (numeric) = -1.5022919373519759 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.39019492164817800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7220000000000005 " " y[1] (analytic) = -1.500970914130348 " " y[1] (numeric) = -1.500970914130349 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.39669912436918800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7230000000000005 " " y[1] (analytic) = -1.4996483899379323 " " y[1] (numeric) = -1.4996483899379334 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.40322219577821600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7240000000000005 " " y[1] (analytic) = -1.4983243660972514 " " y[1] (numeric) = -1.4983243660972527 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.89171703868369600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7250000000000005 " " y[1] (analytic) = -1.4969988439323294 " " y[1] (numeric) = -1.4969988439323307 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.89959023649327600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7260000000000005 " " y[1] (analytic) = -1.4956718247686884 " " y[1] (numeric) = -1.4956718247686895 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.42290525394403900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7270000000000005 " " y[1] (analytic) = -1.494343309933347 " " y[1] (numeric) = -1.4943433099333483 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.9154053201443500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7280000000000005 " " y[1] (analytic) = -1.4930133007548203 " " y[1] (numeric) = -1.4930133007548216 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.92334735984358300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7290000000000005 " " y[1] (analytic) = -1.4916817985631174 " " y[1] (numeric) = -1.4916817985631186 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.44276041776868100000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7300000000000005 " " y[1] (analytic) = -1.49034880468974 " " y[1] (numeric) = -1.4903488046897413 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.93930082245101400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7310000000000005 " " y[1] (analytic) = -1.4890143204676822 " " y[1] (numeric) = -1.4890143204676836 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.94731240148004800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7320000000000005 " " y[1] (analytic) = -1.487678347231428 " " y[1] (numeric) = -1.4876783472314294 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.95534731704296200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7330000000000005 " " y[1] (analytic) = -1.4863408863169507 " " y[1] (numeric) = -1.486340886316952 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.96340564815823900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7340000000000005 " " y[1] (analytic) = -1.4850019390617109 " " y[1] (numeric) = -1.4850019390617122 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.97148747423166900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7350000000000005 " " y[1] (analytic) = -1.4836615068046557 " " y[1] (numeric) = -1.483661506804657 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.97959287505865800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7360000000000005 " " y[1] (analytic) = -1.4823195908862172 " " y[1] (numeric) = -1.4823195908862188 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.04856755859642960000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7370000000000005 " " y[1] (analytic) = -1.4809761926483116 " " y[1] (numeric) = -1.4809761926483132 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.04951871758030530000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7380000000000005 " " y[1] (analytic) = -1.4796313134343366 " " y[1] (numeric) = -1.4796313134343382 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.0504726551559270000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7390000000000005 " " y[1] (analytic) = -1.4782849545891716 " " y[1] (numeric) = -1.4782849545891732 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.05142938081729730000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7400000000000005 " " y[1] (analytic) = -1.476937117459175 " " y[1] (numeric) = -1.4769371174591768 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.20273017612027880000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7410000000000005 " " y[1] (analytic) = -1.4755878033921843 " " y[1] (numeric) = -1.4755878033921859 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.05335123460769840000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7420000000000005 " " y[1] (analytic) = -1.474237013737513 " " y[1] (numeric) = -1.4742370137375145 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.05431638195997950000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7430000000000005 " " y[1] (analytic) = -1.4728847498459507 " " y[1] (numeric) = -1.4728847498459523 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.05528435584507540000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7440000000000005 " " y[1] (analytic) = -1.4715310130697614 " " y[1] (numeric) = -1.471531013069763 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.05625516599393160000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7450000000000006 " " y[1] (analytic) = -1.4701758047626818 " " y[1] (numeric) = -1.4701758047626832 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.06196133302061000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7460000000000006 " " y[1] (analytic) = -1.4688191262799197 " " y[1] (numeric) = -1.4688191262799213 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.05820533424821880000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7470000000000006 " " y[1] (analytic) = -1.467460978978154 " " y[1] (numeric) = -1.4674609789781554 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.07872610335365600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7480000000000006 " " y[1] (analytic) = -1.4661013642155314 " " y[1] (numeric) = -1.466101364215533 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.06016696554053550000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7490000000000006 " " y[1] (analytic) = -1.464740283351667 " " y[1] (numeric) = -1.4647402833516683 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.09558946860974600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7500000000000006 " " y[1] (analytic) = -1.463377737747641 " " y[1] (numeric) = -1.4633777377476425 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.06214013947454210000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7510000000000006 " " y[1] (analytic) = -1.4620137287659993 " " y[1] (numeric) = -1.4620137287660009 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.06313108002557790000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7520000000000006 " " y[1] (analytic) = -1.4606482577707507 " " y[1] (numeric) = -1.4606482577707522 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.06412493644939460000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7530000000000006 " " y[1] (analytic) = -1.459281326127366 " " y[1] (numeric) = -1.4592813261273676 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.06512171892176930000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7540000000000006 " " y[1] (analytic) = -1.4579129352027769 " " y[1] (numeric) = -1.4579129352027784 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.06612143766941360000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7550000000000006 " " y[1] (analytic) = -1.456543086365374 " " y[1] (numeric) = -1.4565430863653757 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.06712410297028420000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7560000000000006 " " y[1] (analytic) = -1.4551717809850062 " " y[1] (numeric) = -1.4551717809850078 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.06812972515389540000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7570000000000006 " " y[1] (analytic) = -1.4537990204329787 " " y[1] (numeric) = -1.4537990204329803 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.06913831460163240000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7580000000000006 " " y[1] (analytic) = -1.4524248060820517 " " y[1] (numeric) = -1.4524248060820535 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.2230284362823660000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7590000000000006 " " y[1] (analytic) = -1.45104913930644 " " y[1] (numeric) = -1.4510491393064415 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.07116443707629090000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7600000000000006 " " y[1] (analytic) = -1.4496720214818095 " " y[1] (numeric) = -1.4496720214818113 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.2253508470036649000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7610000000000006 " " y[1] (analytic) = -1.4482934539852785 " " y[1] (numeric) = -1.4482934539852803 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.22651720513700980000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7620000000000006 " " y[1] (analytic) = -1.4469134381954143 " " y[1] (numeric) = -1.446913438195416 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.22768701465356290000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7630000000000006 " " y[1] (analytic) = -1.4455319754922324 " " y[1] (numeric) = -1.4455319754922342 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.2288602877811579000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7640000000000006 " " y[1] (analytic) = -1.4441490672571955 " " y[1] (numeric) = -1.4441490672571973 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.23003703680950440000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7650000000000006 " " y[1] (analytic) = -1.4427647148732117 " " y[1] (numeric) = -1.4427647148732134 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.23121727409056750000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7660000000000006 " " y[1] (analytic) = -1.4413789197246332 " " y[1] (numeric) = -1.441378919724635 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.2324010120389530000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7670000000000006 " " y[1] (analytic) = -1.4399916831972552 " " y[1] (numeric) = -1.4399916831972568 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.07938973024075710000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7680000000000006 " " y[1] (analytic) = -1.4386030066783138 " " y[1] (numeric) = -1.4386030066783155 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.23477903991164250000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7690000000000006 " " y[1] (analytic) = -1.4372128915564857 " " y[1] (numeric) = -1.4372128915564875 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.23597335498186040000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7700000000000006 " " y[1] (analytic) = -1.435821339221886 " " y[1] (numeric) = -1.4358213392218877 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.23717122101201710000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7710000000000006 " " y[1] (analytic) = -1.4344283510660665 " " y[1] (numeric) = -1.4344283510660683 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.23837265073578830000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7720000000000006 " " y[1] (analytic) = -1.4330339284820155 " " y[1] (numeric) = -1.4330339284820173 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.2395776569518560000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7730000000000006 " " y[1] (analytic) = -1.4316380728641556 " " y[1] (numeric) = -1.4316380728641573 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.24078625252431680000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7740000000000006 " " y[1] (analytic) = -1.430240785608342 " " y[1] (numeric) = -1.4302407856083437 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.24199845038308760000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7750000000000006 " " y[1] (analytic) = -1.4288420681118619 " " y[1] (numeric) = -1.4288420681118637 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.2432142635243171000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7760000000000006 " " y[1] (analytic) = -1.4274419217734329 " " y[1] (numeric) = -1.4274419217734347 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.24443370501080060000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7770000000000006 " " y[1] (analytic) = -1.426040347993201 " " y[1] (numeric) = -1.4260403479932027 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.24565678797239750000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7780000000000006 " " y[1] (analytic) = -1.42463734817274 " " y[1] (numeric) = -1.4246373481727417 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.24688352560645050000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7790000000000006 " " y[1] (analytic) = -1.4232329237150494 " " y[1] (numeric) = -1.4232329237150512 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.24811393117821180000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7800000000000006 " " y[1] (analytic) = -1.421827076024554 " " y[1] (numeric) = -1.4218270760245555 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.0931795157686090000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7810000000000006 " " y[1] (analytic) = -1.4204198065071008 " " y[1] (numeric) = -1.4204198065071023 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.09426257459572340000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7820000000000006 " " y[1] (analytic) = -1.4190111165699595 " " y[1] (numeric) = -1.419011116569961 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.09534887804988460000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7830000000000006 " " y[1] (analytic) = -1.41760100762182 " " y[1] (numeric) = -1.4176010076218215 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.0964384379796309000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" "Finished!" "Maximum Time Reached before Solution Completed!" "diff ( y , x , 1 ) = sin(x) * 2.0;" Iterations = 684 "Total Elapsed Time "= 0 Years 0 Days 0 Hours 3 Minutes 0 Seconds "Elapsed Time(since restart) "= 0 Years 0 Days 0 Hours 2 Minutes 59 Seconds "Expected Time Remaining "= 0 Years 0 Days 0 Hours 18 Minutes 30 Seconds "Optimized Time Remaining "= 0 Years 0 Days 0 Hours 18 Minutes 26 Seconds "Expected Total Time "= 0 Years 0 Days 0 Hours 21 Minutes 27 Seconds "Time to Timeout " Unknown Percent Done = 13.979591836734704 "%" (%o58) true (%o58) diffeq.max