(%i1) batch(diffeq.max) read and interpret file: /home/dennis/mastersource/mine/omnisode/diffeq.max (%i2) load(stringproc) (%o2) /usr/share/maxima/5.27.0/share/stringproc/stringproc.mac (%i3) check_sign(x0, xf) := block([ret], if xf > x0 then ret : 1.0 else ret : - 1.0, ret) (%o3) check_sign(x0, xf) := block([ret], if xf > x0 then ret : 1.0 else ret : - 1.0, ret) (%i4) est_size_answer() := block([min_size], min_size : glob_large_float, if omniabs(array_y ) < min_size then (min_size : omniabs(array_y ), 1 1 omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")), if min_size < 1.0 then (min_size : 1.0, omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")), min_size) (%o4) est_size_answer() := block([min_size], min_size : glob_large_float, if omniabs(array_y ) < min_size then (min_size : omniabs(array_y ), 1 1 omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")), if min_size < 1.0 then (min_size : 1.0, omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")), min_size) (%i5) test_suggested_h() := block([max_value3, hn_div_ho, hn_div_ho_2, hn_div_ho_3, value3, no_terms], max_value3 : 0.0, no_terms : glob_max_terms, hn_div_ho : 0.5, hn_div_ho_2 : 0.25, hn_div_ho_3 : 0.125, omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, ""), omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, ""), omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, ""), value3 : omniabs(array_y hn_div_ho_3 + array_y hn_div_ho_2 no_terms no_terms - 1 + array_y hn_div_ho + array_y ), no_terms - 2 no_terms - 3 if value3 > max_value3 then (max_value3 : value3, omniout_float(ALWAYS, "value3", 32, value3, 32, "")), omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, ""), max_value3) (%o5) test_suggested_h() := block([max_value3, hn_div_ho, hn_div_ho_2, hn_div_ho_3, value3, no_terms], max_value3 : 0.0, no_terms : glob_max_terms, hn_div_ho : 0.5, hn_div_ho_2 : 0.25, hn_div_ho_3 : 0.125, omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, ""), omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, ""), omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, ""), value3 : omniabs(array_y hn_div_ho_3 + array_y hn_div_ho_2 no_terms no_terms - 1 + array_y hn_div_ho + array_y ), no_terms - 2 no_terms - 3 if value3 > max_value3 then (max_value3 : value3, omniout_float(ALWAYS, "value3", 32, value3, 32, "")), omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, ""), max_value3) (%i6) reached_interval() := block([ret], if glob_check_sign array_x >= glob_check_sign glob_next_display 1 then ret : true else ret : false, return(ret)) (%o6) reached_interval() := block([ret], if glob_check_sign array_x >= glob_check_sign glob_next_display 1 then ret : true else ret : false, return(ret)) (%i7) display_alot(iter) := block([abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no], if reached_interval() then (if iter >= 0 then (ind_var : array_x , 1 omniout_float(ALWAYS, "x[1] ", 33, ind_var, 20, " "), analytic_val_y : exact_soln_y(ind_var), omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y, 20, " "), term_no : 1, numeric_val : array_y , term_no abserr : omniabs(numeric_val - analytic_val_y), omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, 20, " "), if omniabs(analytic_val_y) # 0.0 abserr 100.0 then (relerr : -----------------------, omniabs(analytic_val_y) if relerr > 1.0E-34 then glob_good_digits : 2 - floor(log10(relerr)) else glob_good_digits : 16) else (relerr : - 1.0, glob_good_digits : - 1), if glob_iter = 1 then array_1st_rel_error : relerr 1 else array_last_rel_error : relerr, omniout_float(ALWAYS, 1 "absolute error ", 4, abserr, 20, " "), omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"), omniout_int(INFO, "Correct digits ", 32, glob_good_digits, 4, " "), omniout_float(ALWAYS, "h ", 4, glob_h, 20, " ")))) (%o7) display_alot(iter) := block([abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no], if reached_interval() then (if iter >= 0 then (ind_var : array_x , 1 omniout_float(ALWAYS, "x[1] ", 33, ind_var, 20, " "), analytic_val_y : exact_soln_y(ind_var), omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y, 20, " "), term_no : 1, numeric_val : array_y , term_no abserr : omniabs(numeric_val - analytic_val_y), omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, 20, " "), if omniabs(analytic_val_y) # 0.0 abserr 100.0 then (relerr : -----------------------, omniabs(analytic_val_y) if relerr > 1.0E-34 then glob_good_digits : 2 - floor(log10(relerr)) else glob_good_digits : 16) else (relerr : - 1.0, glob_good_digits : - 1), if glob_iter = 1 then array_1st_rel_error : relerr 1 else array_last_rel_error : relerr, omniout_float(ALWAYS, 1 "absolute error ", 4, abserr, 20, " "), omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"), omniout_int(INFO, "Correct digits ", 32, glob_good_digits, 4, " "), omniout_float(ALWAYS, "h ", 4, glob_h, 20, " ")))) (%i8) adjust_for_pole(h_param) := block([hnew, sz2, tmp], block(hnew : h_param, glob_normmax : glob_small_float, if omniabs(array_y_higher ) > glob_small_float 1, 1 then (tmp : omniabs(array_y_higher ), 1, 1 if tmp < glob_normmax then glob_normmax : tmp), if glob_look_poles and (omniabs(array_pole ) > glob_small_float) 1 array_pole 1 and (array_pole # glob_large_float) then (sz2 : -----------, 1 10.0 if sz2 < hnew then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."), omniout_str(INFO, "Reached Optimal"), return(hnew))), if not glob_reached_optimal_h then (glob_reached_optimal_h : true, glob_curr_iter_when_opt : glob_current_iter, glob_optimal_clock_start_sec : elapsed_time_seconds(), glob_optimal_start : array_x ), hnew : sz2), return(hnew)) 1 (%o8) adjust_for_pole(h_param) := block([hnew, sz2, tmp], block(hnew : h_param, glob_normmax : glob_small_float, if omniabs(array_y_higher ) > glob_small_float 1, 1 then (tmp : omniabs(array_y_higher ), 1, 1 if tmp < glob_normmax then glob_normmax : tmp), if glob_look_poles and (omniabs(array_pole ) > glob_small_float) 1 array_pole 1 and (array_pole # glob_large_float) then (sz2 : -----------, 1 10.0 if sz2 < hnew then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."), omniout_str(INFO, "Reached Optimal"), return(hnew))), if not glob_reached_optimal_h then (glob_reached_optimal_h : true, glob_curr_iter_when_opt : glob_current_iter, glob_optimal_clock_start_sec : elapsed_time_seconds(), glob_optimal_start : array_x ), hnew : sz2), return(hnew)) 1 (%i9) prog_report(x_start, x_end) := block([clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec], clock_sec1 : elapsed_time_seconds(), total_clock_sec : convfloat(clock_sec1) - convfloat(glob_orig_start_sec), glob_clock_sec : convfloat(clock_sec1) - convfloat(glob_clock_start_sec), left_sec : - convfloat(clock_sec1) + convfloat(glob_orig_start_sec) + convfloat(glob_max_sec), expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(clock_sec1) - convfloat(glob_orig_start_sec)), opt_clock_sec : convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec), glob_optimal_expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(opt_clock_sec)), glob_total_exp_sec : total_clock_sec + glob_optimal_expect_sec, percent_done : comp_percent(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done, 1 omniout_str_noeol(INFO, "Total Elapsed Time "), omniout_timestr(convfloat(total_clock_sec)), omniout_str_noeol(INFO, "Elapsed Time(since restart) "), omniout_timestr(convfloat(glob_clock_sec)), if convfloat(percent_done) < convfloat(100.0) then (omniout_str_noeol(INFO, "Expected Time Remaining "), omniout_timestr(convfloat(expect_sec)), omniout_str_noeol(INFO, "Optimized Time Remaining "), omniout_timestr(convfloat(glob_optimal_expect_sec)), omniout_str_noeol(INFO, "Expected Total Time "), omniout_timestr(convfloat(glob_total_exp_sec))), omniout_str_noeol(INFO, "Time to Timeout "), omniout_timestr(convfloat(left_sec)), omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%")) (%o9) prog_report(x_start, x_end) := block([clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec], clock_sec1 : elapsed_time_seconds(), total_clock_sec : convfloat(clock_sec1) - convfloat(glob_orig_start_sec), glob_clock_sec : convfloat(clock_sec1) - convfloat(glob_clock_start_sec), left_sec : - convfloat(clock_sec1) + convfloat(glob_orig_start_sec) + convfloat(glob_max_sec), expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(clock_sec1) - convfloat(glob_orig_start_sec)), opt_clock_sec : convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec), glob_optimal_expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(opt_clock_sec)), glob_total_exp_sec : total_clock_sec + glob_optimal_expect_sec, percent_done : comp_percent(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done, 1 omniout_str_noeol(INFO, "Total Elapsed Time "), omniout_timestr(convfloat(total_clock_sec)), omniout_str_noeol(INFO, "Elapsed Time(since restart) "), omniout_timestr(convfloat(glob_clock_sec)), if convfloat(percent_done) < convfloat(100.0) then (omniout_str_noeol(INFO, "Expected Time Remaining "), omniout_timestr(convfloat(expect_sec)), omniout_str_noeol(INFO, "Optimized Time Remaining "), omniout_timestr(convfloat(glob_optimal_expect_sec)), omniout_str_noeol(INFO, "Expected Total Time "), omniout_timestr(convfloat(glob_total_exp_sec))), omniout_str_noeol(INFO, "Time to Timeout "), omniout_timestr(convfloat(left_sec)), omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%")) (%i10) check_for_pole() := block([cnt, dr1, dr2, ds1, ds2, hdrc, hdrc_BBB, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term], n : glob_max_terms, m : - 1 - 1 + n, while (m >= 10) and ((omniabs(array_y_higher ) < glob_small_float glob_small_float) 1, m or (omniabs(array_y_higher ) < glob_small_float glob_small_float) 1, m - 1 or (omniabs(array_y_higher ) < glob_small_float glob_small_float)) do m 1, m - 2 array_y_higher 1, m : m - 1, if m > 10 then (rm0 : ----------------------, array_y_higher 1, m - 1 array_y_higher 1, m - 1 rm1 : ----------------------, hdrc : convfloat(m) rm0 - convfloat(m - 1) rm1, array_y_higher 1, m - 2 if omniabs(hdrc) > glob_small_float glob_small_float glob_h then (rcs : ------, ord_no : hdrc rm1 convfloat((m - 2) (m - 2)) - rm0 convfloat(m - 3) -----------------------------------------------------, hdrc array_real_pole : rcs, array_real_pole : ord_no) 1, 1 1, 2 else (array_real_pole : glob_large_float, 1, 1 array_real_pole : glob_large_float)) 1, 2 else (array_real_pole : glob_large_float, 1, 1 array_real_pole : glob_large_float), n : - 1 - 1 + glob_max_terms, 1, 2 cnt : 0, while (cnt < 5) and (n >= 10) do (if omniabs(array_y_higher ) > 1, n glob_small_float then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n, if m <= 10 then (rad_c : glob_large_float, ord_no : glob_large_float) elseif ((omniabs(array_y_higher ) >= glob_large_float) 1, m or (omniabs(array_y_higher ) >= glob_large_float) 1, m - 1 or (omniabs(array_y_higher ) >= glob_large_float) 1, m - 2 or (omniabs(array_y_higher ) >= glob_large_float) 1, m - 3 or (omniabs(array_y_higher ) >= glob_large_float) 1, m - 4 or (omniabs(array_y_higher ) >= glob_large_float)) 1, m - 5 or ((omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float)) 1, m 1, m - 1 1, m - 2 1, m - 3 1, m - 4 1, m - 5 then (rad_c : glob_large_float, ord_no : glob_large_float) array_y_higher array_y_higher 1, m 1, m - 1 else (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 array_y_higher array_y_higher 1, m - 2 1, m - 3 rm2 : ----------------------, rm3 : ----------------------, array_y_higher array_y_higher 1, m - 3 1, m - 4 array_y_higher 1, m - 4 rm4 : ----------------------, nr1 : convfloat(m - 3) rm2 array_y_higher 1, m - 5 - 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0, nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1, - 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0 dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---, rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1 5.0 8.0 3.0 ds2 : --- - --- + ---, if (omniabs(nr1 dr2 - nr2 dr1) <= glob_small_float) rm4 rm3 rm2 or (omniabs(dr1) <= glob_small_float) then (rad_c : glob_large_float, ord_no : glob_large_float) else (if omniabs(nr1 dr2 - nr2 dr1) > dr1 dr2 - ds2 dr1 + ds1 dr2 glob_small_float then (rcs : ---------------------------, nr1 dr2 - nr2 dr1 rcs nr1 - ds1 convfloat(m) ord_no : ------------- - ------------, 2.0 dr1 2.0 if omniabs(rcs) > glob_small_float then (if rcs > 0.0 then rad_c : sqrt(rcs) omniabs(glob_h) else rad_c : glob_large_float) else (rad_c : glob_large_float, ord_no : glob_large_float)) else (rad_c : glob_large_float, ord_no : glob_large_float)), array_complex_pole : rad_c, array_complex_pole : ord_no), 1, 1 1, 2 found_sing : 0, if (1 # found_sing) and ((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole # glob_large_float) and (array_complex_pole # glob_large_float)) 1, 1 1, 2 and ((array_complex_pole > 0.0) and (array_complex_pole > 0.0)) 1, 1 1, 2 then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , found_sing : 1, 1, 2 1, 2 array_type_pole : 2, if glob_display_flag 1 then (if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used for equation 1"))), if (1 # found_sing) and ((array_real_pole # glob_large_float) 1, 1 and (array_real_pole # glob_large_float) and (array_real_pole > 0.0) 1, 2 1, 1 and (array_real_pole > - 1.0 glob_smallish_float) 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float) or (array_complex_pole <= 0.0) or (array_complex_pole <= 0.0))) 1, 1 1, 2 1, 1 1, 2 then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found_sing : 1, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then (if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used for equation 1"))), if (1 # found_sing) and (((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float))) 1, 1 1, 2 then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 found_sing : 1, array_type_pole : 3, if reached_interval() 1 then omniout_str(ALWAYS, "NO POLE for equation 1")), if (1 # found_sing) and ((array_real_pole < array_complex_pole ) 1, 1 1, 1 and (array_real_pole > 0.0) and (array_real_pole > - 1.0 1, 1 1, 2 glob_smallish_float)) then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found_sing : 1, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then (if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used for equation 1"))), if (1 # found_sing) and ((array_complex_pole # glob_large_float) 1, 1 and (array_complex_pole # glob_large_float) 1, 2 and (array_complex_pole > 0.0) and (array_complex_pole > 1, 1 1, 2 0.0)) then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , array_type_pole : 2, 1, 2 1, 2 1 found_sing : 1, if glob_display_flag then (if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used for equation 1"))), if 1 # found_sing then (array_poles : glob_large_float, 1, 1 array_poles : glob_large_float, array_type_pole : 3, 1, 2 1 if reached_interval() then omniout_str(ALWAYS, "NO POLE for equation 1")), array_pole : glob_large_float, array_pole : glob_large_float, 1 2 if array_pole > array_poles then (array_pole : array_poles , 1 1, 1 1 1, 1 array_pole : array_poles ), if array_pole glob_ratio_of_radius < 2 1, 2 1 omniabs(glob_h) then (h_new : array_pole glob_ratio_of_radius, term : 1, 1 ratio : 1.0, while term <= glob_max_terms do (array_y : term array_y ratio, array_y_higher : array_y_higher ratio, term 1, term 1, term ratio h_new array_x : array_x ratio, ratio : ---------------, term : 1 + term), term term omniabs(glob_h) glob_h : h_new), if reached_interval() then display_pole()) (%o10) check_for_pole() := block([cnt, dr1, dr2, ds1, ds2, hdrc, hdrc_BBB, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term], n : glob_max_terms, m : - 1 - 1 + n, while (m >= 10) and ((omniabs(array_y_higher ) < glob_small_float glob_small_float) 1, m or (omniabs(array_y_higher ) < glob_small_float glob_small_float) 1, m - 1 or (omniabs(array_y_higher ) < glob_small_float glob_small_float)) do m 1, m - 2 array_y_higher 1, m : m - 1, if m > 10 then (rm0 : ----------------------, array_y_higher 1, m - 1 array_y_higher 1, m - 1 rm1 : ----------------------, hdrc : convfloat(m) rm0 - convfloat(m - 1) rm1, array_y_higher 1, m - 2 if omniabs(hdrc) > glob_small_float glob_small_float glob_h then (rcs : ------, ord_no : hdrc rm1 convfloat((m - 2) (m - 2)) - rm0 convfloat(m - 3) -----------------------------------------------------, hdrc array_real_pole : rcs, array_real_pole : ord_no) 1, 1 1, 2 else (array_real_pole : glob_large_float, 1, 1 array_real_pole : glob_large_float)) 1, 2 else (array_real_pole : glob_large_float, 1, 1 array_real_pole : glob_large_float), n : - 1 - 1 + glob_max_terms, 1, 2 cnt : 0, while (cnt < 5) and (n >= 10) do (if omniabs(array_y_higher ) > 1, n glob_small_float then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n, if m <= 10 then (rad_c : glob_large_float, ord_no : glob_large_float) elseif ((omniabs(array_y_higher ) >= glob_large_float) 1, m or (omniabs(array_y_higher ) >= glob_large_float) 1, m - 1 or (omniabs(array_y_higher ) >= glob_large_float) 1, m - 2 or (omniabs(array_y_higher ) >= glob_large_float) 1, m - 3 or (omniabs(array_y_higher ) >= glob_large_float) 1, m - 4 or (omniabs(array_y_higher ) >= glob_large_float)) 1, m - 5 or ((omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float)) 1, m 1, m - 1 1, m - 2 1, m - 3 1, m - 4 1, m - 5 then (rad_c : glob_large_float, ord_no : glob_large_float) array_y_higher array_y_higher 1, m 1, m - 1 else (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 array_y_higher array_y_higher 1, m - 2 1, m - 3 rm2 : ----------------------, rm3 : ----------------------, array_y_higher array_y_higher 1, m - 3 1, m - 4 array_y_higher 1, m - 4 rm4 : ----------------------, nr1 : convfloat(m - 3) rm2 array_y_higher 1, m - 5 - 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0, nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1, - 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0 dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---, rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1 5.0 8.0 3.0 ds2 : --- - --- + ---, if (omniabs(nr1 dr2 - nr2 dr1) <= glob_small_float) rm4 rm3 rm2 or (omniabs(dr1) <= glob_small_float) then (rad_c : glob_large_float, ord_no : glob_large_float) else (if omniabs(nr1 dr2 - nr2 dr1) > dr1 dr2 - ds2 dr1 + ds1 dr2 glob_small_float then (rcs : ---------------------------, nr1 dr2 - nr2 dr1 rcs nr1 - ds1 convfloat(m) ord_no : ------------- - ------------, 2.0 dr1 2.0 if omniabs(rcs) > glob_small_float then (if rcs > 0.0 then rad_c : sqrt(rcs) omniabs(glob_h) else rad_c : glob_large_float) else (rad_c : glob_large_float, ord_no : glob_large_float)) else (rad_c : glob_large_float, ord_no : glob_large_float)), array_complex_pole : rad_c, array_complex_pole : ord_no), 1, 1 1, 2 found_sing : 0, if (1 # found_sing) and ((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole # glob_large_float) and (array_complex_pole # glob_large_float)) 1, 1 1, 2 and ((array_complex_pole > 0.0) and (array_complex_pole > 0.0)) 1, 1 1, 2 then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , found_sing : 1, 1, 2 1, 2 array_type_pole : 2, if glob_display_flag 1 then (if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used for equation 1"))), if (1 # found_sing) and ((array_real_pole # glob_large_float) 1, 1 and (array_real_pole # glob_large_float) and (array_real_pole > 0.0) 1, 2 1, 1 and (array_real_pole > - 1.0 glob_smallish_float) 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float) or (array_complex_pole <= 0.0) or (array_complex_pole <= 0.0))) 1, 1 1, 2 1, 1 1, 2 then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found_sing : 1, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then (if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used for equation 1"))), if (1 # found_sing) and (((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float))) 1, 1 1, 2 then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 found_sing : 1, array_type_pole : 3, if reached_interval() 1 then omniout_str(ALWAYS, "NO POLE for equation 1")), if (1 # found_sing) and ((array_real_pole < array_complex_pole ) 1, 1 1, 1 and (array_real_pole > 0.0) and (array_real_pole > - 1.0 1, 1 1, 2 glob_smallish_float)) then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found_sing : 1, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then (if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used for equation 1"))), if (1 # found_sing) and ((array_complex_pole # glob_large_float) 1, 1 and (array_complex_pole # glob_large_float) 1, 2 and (array_complex_pole > 0.0) and (array_complex_pole > 1, 1 1, 2 0.0)) then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , array_type_pole : 2, 1, 2 1, 2 1 found_sing : 1, if glob_display_flag then (if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used for equation 1"))), if 1 # found_sing then (array_poles : glob_large_float, 1, 1 array_poles : glob_large_float, array_type_pole : 3, 1, 2 1 if reached_interval() then omniout_str(ALWAYS, "NO POLE for equation 1")), array_pole : glob_large_float, array_pole : glob_large_float, 1 2 if array_pole > array_poles then (array_pole : array_poles , 1 1, 1 1 1, 1 array_pole : array_poles ), if array_pole glob_ratio_of_radius < 2 1, 2 1 omniabs(glob_h) then (h_new : array_pole glob_ratio_of_radius, term : 1, 1 ratio : 1.0, while term <= glob_max_terms do (array_y : term array_y ratio, array_y_higher : array_y_higher ratio, term 1, term 1, term ratio h_new array_x : array_x ratio, ratio : ---------------, term : 1 + term), term term omniabs(glob_h) glob_h : h_new), if reached_interval() then display_pole()) (%i11) get_norms() := block([iii], if not glob_initial_pass then (iii : 1, while iii <= glob_max_terms do (array_norms : 0.0, iii iii : 1 + iii), iii : 1, while iii <= glob_max_terms do (if omniabs(array_y ) > array_norms iii iii then array_norms : omniabs(array_y ), iii : 1 + iii))) iii iii (%o11) get_norms() := block([iii], if not glob_initial_pass then (iii : 1, while iii <= glob_max_terms do (array_norms : 0.0, iii iii : 1 + iii), iii : 1, while iii <= glob_max_terms do (if omniabs(array_y ) > array_norms iii iii then array_norms : omniabs(array_y ), iii : 1 + iii))) iii iii (%i12) atomall() := block([kkk, order_d, adj2, adj3, temporary, term, temp, temp2], array_tmp1 : array_x array_x , 1 1 1 array_const_1D0 1 array_tmp2 : array_const_1D0 + array_tmp1 , array_tmp3 : ----------------, 1 1 1 1 array_tmp2 1 array_tmp4 : array_tmp3 + array_const_0D0 , 1 1 1 if not array_y_set_initial then (if 1 <= glob_max_terms 1, 2 then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(0, 1), 1 array_y : temporary, array_y_higher : temporary, 2 1, 2 temporary 1.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 2, glob_h 2, 1 array_tmp1 : array_x array_x + array_x array_x , 2 2 1 1 2 - ats(2, array_tmp2, array_tmp3, 2) array_tmp2 : array_tmp1 , array_tmp3 : -----------------------------------, 2 2 2 array_tmp2 1 array_tmp4 : array_tmp3 , if not array_y_set_initial 2 2 1, 3 then (if 2 <= glob_max_terms then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(1, 2), array_y : temporary, 2 3 temporary 2.0 array_y_higher : temporary, temporary : -------------, 1, 3 glob_h array_y_higher : temporary, 0)), kkk : 3, array_tmp1 : array_x array_x , 2, 2 3 2 2 - ats(3, array_tmp2, array_tmp3, 2) array_tmp2 : array_tmp1 , array_tmp3 : -----------------------------------, 3 3 3 array_tmp2 1 array_tmp4 : array_tmp3 , if not array_y_set_initial 3 3 1, 4 then (if 3 <= glob_max_terms then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(2, 3), array_y : temporary, 3 4 temporary 3.0 array_y_higher : temporary, temporary : -------------, 1, 4 glob_h array_y_higher : temporary, 0)), kkk : 4, array_tmp2 : array_tmp1 , 2, 3 4 4 - ats(4, array_tmp2, array_tmp3, 2) array_tmp3 : -----------------------------------, array_tmp4 : array_tmp3 , 4 array_tmp2 4 4 1 if not array_y_set_initial then (if 4 <= glob_max_terms 1, 5 then (temporary : array_tmp4 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 - ats(5, array_tmp2, array_tmp3, 2) array_tmp2 : array_tmp1 , array_tmp3 : -----------------------------------, 5 5 5 array_tmp2 1 array_tmp4 : array_tmp3 , if not array_y_set_initial 5 5 1, 6 then (if 5 <= glob_max_terms then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(4, 5), array_y : temporary, 5 6 temporary 5.0 array_y_higher : temporary, temporary : -------------, 1, 6 glob_h array_y_higher : temporary, 0)), kkk : 6, 2, 5 while kkk <= glob_max_terms do (array_tmp2 : array_tmp1 , kkk kkk - ats(kkk, array_tmp2, array_tmp3, 2) array_tmp3 : -------------------------------------, kkk array_tmp2 1 array_tmp4 : array_tmp3 , order_d : 1, kkk kkk if 1 + order_d + kkk <= glob_max_terms then (if not array_y_set_initial 1, order_d + kkk then (temporary : array_tmp4 expt(glob_h, order_d) kkk factorial_3(kkk - 1, - 1 + order_d + kkk), array_y : temporary, order_d + kkk array_y_higher : temporary, term : - 1 + order_d + kkk, 1, order_d + kkk adj2 : - 1 + order_d + kkk, adj3 : 2, while term >= 1 do (if adj3 <= 1 + order_d then (if adj2 > 0 temporary convfp(adj2) then temporary : ---------------------- else temporary : temporary, glob_h array_y_higher : temporary), term : term - 1, adj2 : adj2 - 1, adj3, term adj3 : 1 + adj3))), kkk : 1 + kkk)) (%o12) atomall() := block([kkk, order_d, adj2, adj3, temporary, term, temp, temp2], array_tmp1 : array_x array_x , 1 1 1 array_const_1D0 1 array_tmp2 : array_const_1D0 + array_tmp1 , array_tmp3 : ----------------, 1 1 1 1 array_tmp2 1 array_tmp4 : array_tmp3 + array_const_0D0 , 1 1 1 if not array_y_set_initial then (if 1 <= glob_max_terms 1, 2 then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(0, 1), 1 array_y : temporary, array_y_higher : temporary, 2 1, 2 temporary 1.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 2, glob_h 2, 1 array_tmp1 : array_x array_x + array_x array_x , 2 2 1 1 2 - ats(2, array_tmp2, array_tmp3, 2) array_tmp2 : array_tmp1 , array_tmp3 : -----------------------------------, 2 2 2 array_tmp2 1 array_tmp4 : array_tmp3 , if not array_y_set_initial 2 2 1, 3 then (if 2 <= glob_max_terms then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(1, 2), array_y : temporary, 2 3 temporary 2.0 array_y_higher : temporary, temporary : -------------, 1, 3 glob_h array_y_higher : temporary, 0)), kkk : 3, array_tmp1 : array_x array_x , 2, 2 3 2 2 - ats(3, array_tmp2, array_tmp3, 2) array_tmp2 : array_tmp1 , array_tmp3 : -----------------------------------, 3 3 3 array_tmp2 1 array_tmp4 : array_tmp3 , if not array_y_set_initial 3 3 1, 4 then (if 3 <= glob_max_terms then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(2, 3), array_y : temporary, 3 4 temporary 3.0 array_y_higher : temporary, temporary : -------------, 1, 4 glob_h array_y_higher : temporary, 0)), kkk : 4, array_tmp2 : array_tmp1 , 2, 3 4 4 - ats(4, array_tmp2, array_tmp3, 2) array_tmp3 : -----------------------------------, array_tmp4 : array_tmp3 , 4 array_tmp2 4 4 1 if not array_y_set_initial then (if 4 <= glob_max_terms 1, 5 then (temporary : array_tmp4 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 - ats(5, array_tmp2, array_tmp3, 2) array_tmp2 : array_tmp1 , array_tmp3 : -----------------------------------, 5 5 5 array_tmp2 1 array_tmp4 : array_tmp3 , if not array_y_set_initial 5 5 1, 6 then (if 5 <= glob_max_terms then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(4, 5), array_y : temporary, 5 6 temporary 5.0 array_y_higher : temporary, temporary : -------------, 1, 6 glob_h array_y_higher : temporary, 0)), kkk : 6, 2, 5 while kkk <= glob_max_terms do (array_tmp2 : array_tmp1 , kkk kkk - ats(kkk, array_tmp2, array_tmp3, 2) array_tmp3 : -------------------------------------, kkk array_tmp2 1 array_tmp4 : array_tmp3 , order_d : 1, kkk kkk if 1 + order_d + kkk <= glob_max_terms then (if not array_y_set_initial 1, order_d + kkk then (temporary : array_tmp4 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(arctan(x)) (%o56) exact_soln_y(x) := block(arctan(x)) (%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/sing2postode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 1 ) = 1.0/ (x * x + 1.0) ;"), 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:-2.0,"), omniout_str(ALWAYS, "x_end:-1.5,"), 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:100,"), 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, " (arctan(x)) "), omniout_str(ALWAYS, "));"), omniout_str(ALWAYS, ""), omniout_str(ALWAYS, ""), omniout_str(ALWAYS, "/* END USER DEF BLOCK */"), omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"), glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false, glob_small_float : 1.0E-200, glob_smallish_float : 1.0E-64, glob_large_float : 1.0E+100, glob_almost_1 : 0.99, Digits : 32, max_terms : 30, glob_max_terms : max_terms, glob_html_log : true, array(array_y_init, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_fact_1, 1 + max_terms), array(array_pole, 1 + max_terms), array(array_1st_rel_error, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_type_pole, 1 + max_terms), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms), array(array_tmp3, 1 + max_terms), array(array_tmp4, 1 + max_terms), array(array_m1, 1 + max_terms), array(array_y_higher, 1 + 2, 1 + max_terms), array(array_y_higher_work, 1 + 2, 1 + max_terms), array(array_y_higher_work2, 1 + 2, 1 + max_terms), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_poles, 1 + 1, 1 + 3), array(array_real_pole, 1 + 1, 1 + 3), array(array_complex_pole, 1 + 1, 1 + 3), array(array_fact_2, 1 + max_terms, 1 + max_terms), term : 1, while term <= max_terms do (array_y_init : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_norms : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_fact_1 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_pole : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_last_rel_error : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_type_pole : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_y : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_x : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp3 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp4 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_m1 : 0.0, term : 1 + term), ord : 1, term while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work2 : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_set_initial : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_real_pole : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_complex_pole : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= max_terms do (term : 1, while term <= max_terms do (array_fact_2 : 0.0, term : 1 + term), ord, term ord : 1 + ord), array(array_y, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term), term array(array_x, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term), term array(array_tmp0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term), term array(array_tmp1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term), term array(array_tmp2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term), term array(array_tmp3, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp3 : 0.0, term : 1 + term), term array(array_tmp4, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp4 : 0.0, term : 1 + term), term array(array_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_1D0, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_1D0 : 0.0, term : 1 + term), term array_const_1D0 : 1.0, 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), iiif, jjjf x_start : - 2.0, x_end : - 1.5, array_y_init : exact_soln_y(x_start), 1 + 0 glob_look_poles : true, glob_max_iter : 100, 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 ) = 1.0/ (x * x + 1.0) ;"), 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, "2013-01-28T19:03:43-06:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "sing2"), logitem_str(html_log_file, "diff ( y , x , 1 ) = 1.0/ (x * x + 1.0) ;"), 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, "sing2 diffeq.max"), logitem_str(html_log_file, "sing2 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/sing2postode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 1 ) = 1.0/ (x * x + 1.0) ;"), 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:-2.0,"), omniout_str(ALWAYS, "x_end:-1.5,"), 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:100,"), 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, " (arctan(x)) "), omniout_str(ALWAYS, "));"), omniout_str(ALWAYS, ""), omniout_str(ALWAYS, ""), omniout_str(ALWAYS, "/* END USER DEF BLOCK */"), omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"), glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false, glob_small_float : 1.0E-200, glob_smallish_float : 1.0E-64, glob_large_float : 1.0E+100, glob_almost_1 : 0.99, Digits : 32, max_terms : 30, glob_max_terms : max_terms, glob_html_log : true, array(array_y_init, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_fact_1, 1 + max_terms), array(array_pole, 1 + max_terms), array(array_1st_rel_error, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_type_pole, 1 + max_terms), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms), array(array_tmp3, 1 + max_terms), array(array_tmp4, 1 + max_terms), array(array_m1, 1 + max_terms), array(array_y_higher, 1 + 2, 1 + max_terms), array(array_y_higher_work, 1 + 2, 1 + max_terms), array(array_y_higher_work2, 1 + 2, 1 + max_terms), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_poles, 1 + 1, 1 + 3), array(array_real_pole, 1 + 1, 1 + 3), array(array_complex_pole, 1 + 1, 1 + 3), array(array_fact_2, 1 + max_terms, 1 + max_terms), term : 1, while term <= max_terms do (array_y_init : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_norms : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_fact_1 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_pole : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_last_rel_error : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_type_pole : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_y : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_x : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp3 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp4 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_m1 : 0.0, term : 1 + term), ord : 1, term while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work2 : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_set_initial : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_real_pole : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_complex_pole : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= max_terms do (term : 1, while term <= max_terms do (array_fact_2 : 0.0, term : 1 + term), ord, term ord : 1 + ord), array(array_y, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term), term array(array_x, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term), term array(array_tmp0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term), term array(array_tmp1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term), term array(array_tmp2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term), term array(array_tmp3, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp3 : 0.0, term : 1 + term), term array(array_tmp4, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp4 : 0.0, term : 1 + term), term array(array_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_1D0, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_1D0 : 0.0, term : 1 + term), term array_const_1D0 : 1.0, 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), iiif, jjjf x_start : - 2.0, x_end : - 1.5, array_y_init : exact_soln_y(x_start), 1 + 0 glob_look_poles : true, glob_max_iter : 100, 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 ) = 1.0/ (x * x + 1.0) ;"), 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, "2013-01-28T19:03:43-06:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "sing2"), logitem_str(html_log_file, "diff ( y , x , 1 ) = 1.0/ (x * x + 1.0) ;"), 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, "sing2 diffeq.max"), logitem_str(html_log_file, "sing2 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/sing2postode.ode#################" "diff ( y , x , 1 ) = 1.0/ (x * x + 1.0) ;" "!" "/* BEGIN FIRST INPUT BLOCK */" "Digits:32," "max_terms:30," "!" "/* END FIRST INPUT BLOCK */" "/* BEGIN SECOND INPUT BLOCK */" "x_start:-2.0," "x_end:-1.5," "array_y_init[0 + 1] : exact_soln_y(x_start)," "glob_look_poles:true," "glob_max_iter:100," "/* 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(" " (arctan(x)) " "));" "" "" "/* 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 = 0.5 "" estimated_steps = 500. "" step_error = 2.0000000000000E-13 "" est_needed_step_err = 2.0000000000000E-13 "" hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" value3 = 1.542379320559088300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-89 "" max_value3 = 1.542379320559088300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-89 "" value3 = 1.542379320559088300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-89 "" best_h = 1.000E-3 "" "START of Soultion" " " "TOP MAIN SOLVE Loop" x[1] = -2. " " y[1] (analytic) = -1.1071487177940906 " " y[1] (numeric) = -1.1071487177940906 " " 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] = -1.999 " " y[1] (analytic) = -1.1069486377647475 " " y[1] (numeric) = -1.1069486377647477 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.00591605924376220000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.2351735950480904 " " Order of pole = 5.7021054544748040000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9980000000000002 " " y[1] (analytic) = -1.1067483975592705 " " y[1] (numeric) = -1.1067483975592702 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.006278982781540300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9970000000000003 " " y[1] (analytic) = -1.1065479970013126 " " y[1] (numeric) = -1.1065479970013123 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.00664232845534600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9960000000000004 " " y[1] (analytic) = -1.106347435914297 " " y[1] (numeric) = -1.1063474359142969 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.007006096972885600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.2324909854241746 " " Order of pole = 5.3468340865947540000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9950000000000006 " " y[1] (analytic) = -1.1061467141214156 " " y[1] (numeric) = -1.1061467141214156 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.2315969618190854 " " Order of pole = 4.8139270347746790000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9940000000000007 " " y[1] (analytic) = -1.1059458314456285 " " y[1] (numeric) = -1.1059458314456285 " " 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] = -1.9930000000000008 " " y[1] (analytic) = -1.1057447877096636 " " y[1] (numeric) = -1.1057447877096636 " " 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] = -1.9920000000000009 " " y[1] (analytic) = -1.1055435827360163 " " y[1] (numeric) = -1.1055435827360163 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.228915431325406 " " Order of pole = 1.4122036873231990000000000000E-12 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.991000000000001 " " y[1] (analytic) = -1.1053422163469497 " " y[1] (numeric) = -1.10534221634695 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.008831307093901500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.990000000000001 " " y[1] (analytic) = -1.1051406883644945 " " y[1] (numeric) = -1.1051406883644945 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.2271281956816367 " " Order of pole = 3.7303493627405260000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9890000000000012 " " y[1] (analytic) = -1.104938998610447 " " y[1] (numeric) = -1.104938998610447 " " 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] = -1.9880000000000013 " " y[1] (analytic) = -1.1047371469063707 " " y[1] (numeric) = -1.1047371469063707 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.225341322134737 " " Order of pole = 1.0373923942097463000000000000E-12 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9870000000000014 " " y[1] (analytic) = -1.1045351330735953 " " y[1] (numeric) = -1.104535133073595 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.010299159132645500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.224448021420218 " " Order of pole = 8.4909856923331970000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9860000000000015 " " y[1] (analytic) = -1.1043329569332156 " " y[1] (numeric) = -1.1043329569332154 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.010667195350753500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9850000000000017 " " y[1] (analytic) = -1.1041306183060926 " " y[1] (numeric) = -1.1041306183060926 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.2226616926559277 " " Order of pole = 2.77111666946439100000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9840000000000018 " " y[1] (analytic) = -1.1039281170128525 " " y[1] (numeric) = -1.1039281170128523 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.011404560705161700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9830000000000019 " " y[1] (analytic) = -1.1037254528738856 " " y[1] (numeric) = -1.1037254528738853 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.011773891295797500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.982000000000002 " " y[1] (analytic) = -1.1035226257093471 " " y[1] (numeric) = -1.103522625709347 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.012143654800919700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.981000000000002 " " y[1] (analytic) = -1.1033196353391566 " " y[1] (numeric) = -1.1033196353391563 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.012513851951665500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9800000000000022 " " y[1] (analytic) = -1.1031164815829972 " " y[1] (numeric) = -1.1031164815829972 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.2181974664128887 " " Order of pole = 1.5152323840084136000000000000E-12 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9790000000000023 " " y[1] (analytic) = -1.1029131642603165 " " y[1] (numeric) = -1.1029131642603163 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.013255550122556600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9780000000000024 " " y[1] (analytic) = -1.1027096831903238 " " y[1] (numeric) = -1.1027096831903236 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.013627052612969600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.2164124164965378 " " Order of pole = 4.26325641456060100000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9770000000000025 " " y[1] (analytic) = -1.1025060381919922 " " y[1] (numeric) = -1.1025060381919922 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.2155200292482333 " " Order of pole = 2.1849189124623080000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9760000000000026 " " y[1] (analytic) = -1.1023022290840578 " " y[1] (numeric) = -1.1023022290840578 " " 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] = -1.9750000000000028 " " y[1] (analytic) = -1.1020982556850183 " " y[1] (numeric) = -1.1020982556850183 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.213735530726319 " " Order of pole = 3.5171865420124960000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9740000000000029 " " y[1] (analytic) = -1.1018941178131336 " " y[1] (numeric) = -1.1018941178131334 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.015117435835945500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.2128434196752607 " " Order of pole = 2.38031816479633560000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.973000000000003 " " y[1] (analytic) = -1.1016898152864247 " " y[1] (numeric) = -1.1016898152864245 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.01549112866494700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.972000000000003 " " y[1] (analytic) = -1.1014853479226747 " " y[1] (numeric) = -1.1014853479226745 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.015865261792107200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9710000000000032 " " y[1] (analytic) = -1.1012807155394273 " " y[1] (numeric) = -1.101280715539427 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.016239835964710000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9700000000000033 " " y[1] (analytic) = -1.101075917953987 " " y[1] (numeric) = -1.1010759179539866 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.033229703863350000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9690000000000034 " " y[1] (analytic) = -1.1008709549834184 " " y[1] (numeric) = -1.100870954983418 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.033980620887137600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9680000000000035 " " y[1] (analytic) = -1.1006658264445461 " " y[1] (numeric) = -1.1006658264445457 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.034732424505202400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9670000000000036 " " y[1] (analytic) = -1.1004605321539547 " " y[1] (numeric) = -1.1004605321539542 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.03548511622527200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.2066012326653173 " " Order of pole = 2.20268248085631060000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9660000000000037 " " y[1] (analytic) = -1.1002550719279875 " " y[1] (numeric) = -1.1002550719279873 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.01811934877919180000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.2057098630600067 " " Order of pole = 4.7961634663806760000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9650000000000039 " " y[1] (analytic) = -1.100049445582748 " " y[1] (numeric) = -1.1000494455827476 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.036993170018895500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.964000000000004 " " y[1] (analytic) = -1.0998436529340971 " " y[1] (numeric) = -1.0998436529340967 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.03774853512449700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.2039274035231706 " " Order of pole = 9.92983473224740000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.963000000000004 " " y[1] (analytic) = -1.0996376937976549 " " y[1] (numeric) = -1.0996376937976544 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.03850479439621500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9620000000000042 " " y[1] (analytic) = -1.0994315679887992 " " y[1] (numeric) = -1.0994315679887987 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.03926194935842500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.202145317639162 " " Order of pole = 1.84741111297626050000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9610000000000043 " " y[1] (analytic) = -1.099225275322666 " " y[1] (numeric) = -1.0992252753226652 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.06003000230828400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.201254415100764 " " Order of pole = 1.609379296496627000000000000E-12 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9600000000000044 " " y[1] (analytic) = -1.0990188156141474 " " y[1] (numeric) = -1.0990188156141467 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.06116842870291400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9590000000000045 " " y[1] (analytic) = -1.0988121886778943 " " y[1] (numeric) = -1.0988121886778934 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.08307760736430700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.1994728913992665 " " Order of pole = 6.1994853695068740000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9580000000000046 " " y[1] (analytic) = -1.098605394328313 " " y[1] (numeric) = -1.0986053943283123 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.0634493350760210000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9570000000000047 " " y[1] (analytic) = -1.098398432379567 " " y[1] (numeric) = -1.0983984323795664 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.06459181967315500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9560000000000048 " " y[1] (analytic) = -1.0981913026455756 " " y[1] (numeric) = -1.098191302645575 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.06573566163160800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.955000000000005 " " y[1] (analytic) = -1.0979840049400142 " " y[1] (numeric) = -1.0979840049400131 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.01114681054557900000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.954000000000005 " " y[1] (analytic) = -1.0977765390763126 " " y[1] (numeric) = -1.0977765390763115 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.01133790448766250000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9530000000000052 " " y[1] (analytic) = -1.0975689048676565 " " y[1] (numeric) = -1.0975689048676553 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.01152922582024670000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.194130579523544 " " Order of pole = 8.2600593032111650000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9520000000000053 " " y[1] (analytic) = -1.0973611021269865 " " y[1] (numeric) = -1.0973611021269853 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.01172077493291880000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9510000000000054 " " y[1] (analytic) = -1.097153130666997 " " y[1] (numeric) = -1.097153130666996 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.01191255221612860000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.1923505650329793 " " Order of pole = 1.0889067425523535000000000000E-12 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9500000000000055 " " y[1] (analytic) = -1.0969449903001374 " " y[1] (numeric) = -1.0969449903001363 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.01210455806118970000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.1914607000811435 " " Order of pole = 3.03757019537442830000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9490000000000056 " " y[1] (analytic) = -1.0967366808386099 " " y[1] (numeric) = -1.0967366808386088 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.0122967928602830000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9480000000000057 " " y[1] (analytic) = -1.0965282020943707 " " y[1] (numeric) = -1.0965282020943696 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.01248925700645800000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9470000000000058 " " y[1] (analytic) = -1.096319553879129 " " y[1] (numeric) = -1.096319553879128 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.01268195089363550000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.188791675788351 " " Order of pole = 9.6989083431253680000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.946000000000006 " " y[1] (analytic) = -1.0961107360043472 " " y[1] (numeric) = -1.0961107360043458 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.21544984989993220000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.945000000000006 " " y[1] (analytic) = -1.0959017482812388 " " y[1] (numeric) = -1.0959017482812377 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.0130680294710530000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9440000000000062 " " y[1] (analytic) = -1.095692590520771 " " y[1] (numeric) = -1.0956925905207697 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.21591369794421550000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9430000000000063 " " y[1] (analytic) = -1.0954832625336617 " " y[1] (numeric) = -1.0954832625336606 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.01345503176142030000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9420000000000064 " " y[1] (analytic) = -1.095273764130381 " " y[1] (numeric) = -1.0952737641303798 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.01364888029308820000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9410000000000065 " " y[1] (analytic) = -1.0950640951211499 " " y[1] (numeric) = -1.0950640951211483 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.41938014532680070000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9400000000000066 " " y[1] (analytic) = -1.0948542553159393 " " y[1] (numeric) = -1.094854255315938 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.21684472895046550000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9390000000000067 " " y[1] (analytic) = -1.094644244524472 " " y[1] (numeric) = -1.0946442445244706 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.2170781842725009000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9380000000000068 " " y[1] (analytic) = -1.09443406255622 " " y[1] (numeric) = -1.0944340625562186 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.4201972395165430000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.937000000000007 " " y[1] (analytic) = -1.0942237092204048 " " y[1] (numeric) = -1.0942237092204037 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.0146216128109220000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.936000000000007 " " y[1] (analytic) = -1.0940131843259988 " " y[1] (numeric) = -1.0940131843259975 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.217780232119390100000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9350000000000072 " " y[1] (analytic) = -1.0938024876817218 " " y[1] (numeric) = -1.0938024876817203 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.42101727869492460000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9340000000000073 " " y[1] (analytic) = -1.0935916190960433 " " y[1] (numeric) = -1.0935916190960415 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.62433289390840170000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9330000000000074 " " y[1] (analytic) = -1.0933805783771806 " " y[1] (numeric) = -1.093380578377179 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.42156561513298800000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9320000000000075 " " y[1] (analytic) = -1.0931693653331 " " y[1] (numeric) = -1.0931693653330985 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.42184027815452400000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.1754594916937453 " " Order of pole = 1.021405182655144000000000000E-12 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9310000000000076 " " y[1] (analytic) = -1.0929579797715152 " " y[1] (numeric) = -1.0929579797715137 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.42211527180592130000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9300000000000077 " " y[1] (analytic) = -1.0927464214998868 " " y[1] (numeric) = -1.0927464214998852 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.42239059665992260000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9290000000000078 " " y[1] (analytic) = -1.0925346903254232 " " y[1] (numeric) = -1.0925346903254216 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.42266625329054820000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.172795664575998 " " Order of pole = 6.0040861171728470000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.928000000000008 " " y[1] (analytic) = -1.0923227860550795 " " y[1] (numeric) = -1.0923227860550775 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.82949716863684830000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.171907917016813 " " Order of pole = 7.6028072726330720000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.927000000000008 " " y[1] (analytic) = -1.092110708495556 " " y[1] (numeric) = -1.0921107084955541 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.6265355019247840000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9260000000000081 " " y[1] (analytic) = -1.0918984574533006 " " y[1] (numeric) = -1.091898457453299 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.42349521960167760000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9250000000000083 " " y[1] (analytic) = -1.091686032734507 " " y[1] (numeric) = -1.091686032734505 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.83056426884897570000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9240000000000084 " " y[1] (analytic) = -1.0914734341451127 " " y[1] (numeric) = -1.0914734341451107 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.83092082849502680000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9230000000000085 " " y[1] (analytic) = -1.0912606614908014 " " y[1] (numeric) = -1.0912606614907996 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.6278025059324690000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.167470645706728 " " Order of pole = 8.224532166423160000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9220000000000086 " " y[1] (analytic) = -1.0910477145770017 " " y[1] (numeric) = -1.091047714577 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.6281202147872540000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9210000000000087 " " y[1] (analytic) = -1.0908345932088863 " " y[1] (numeric) = -1.0908345932088843 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.83199309663129060000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9200000000000088 " " y[1] (analytic) = -1.0906212971913716 " " y[1] (numeric) = -1.0906212971913696 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.83235138491397140000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.919000000000009 " " y[1] (analytic) = -1.0904078263291181 " " y[1] (numeric) = -1.090407826329116 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 2.03634456359827630000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.918000000000009 " " y[1] (analytic) = -1.0901941804265292 " " y[1] (numeric) = -1.0901941804265272 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.83306926436116570000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9170000000000091 " " y[1] (analytic) = -1.089980359287752 " " y[1] (numeric) = -1.08998035928775 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.8334288570402660000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9160000000000093 " " y[1] (analytic) = -1.0897663627166758 " " y[1] (numeric) = -1.0897663627166738 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.8337888860356010000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.161262593948342 " " Order of pole = 7.5317529990570620000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9150000000000094 " " y[1] (analytic) = -1.0895521905169323 " " y[1] (numeric) = -1.0895521905169303 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.83414935210873240000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9140000000000095 " " y[1] (analytic) = -1.0893378424918954 " " y[1] (numeric) = -1.0893378424918934 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.8345102560229380000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.1594897545485465 " " Order of pole = 2.84217094304040100000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9130000000000096 " " y[1] (analytic) = -1.0891233184446807 " " y[1] (numeric) = -1.0891233184446785 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 2.03874622060357170000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.1586034837366803 " " Order of pole = 2.55795384873636070000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9120000000000097 " " y[1] (analytic) = -1.0889086181781442 " " y[1] (numeric) = -1.0889086181781422 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.8352333804362870000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.157717312346587 " " Order of pole = 3.8369307731045410000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9110000000000098 " " y[1] (analytic) = -1.088693741494884 " " y[1] (numeric) = -1.0886937414948823 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.6316405355294292000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.91000000000001 " " y[1] (analytic) = -1.0884786881972386 " " y[1] (numeric) = -1.0884786881972368 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.6319629025923238000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.90900000000001 " " y[1] (analytic) = -1.0882634580872865 " " y[1] (numeric) = -1.0882634580872848 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.63228566226265220000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9080000000000101 " " y[1] (analytic) = -1.0880480509668462 " " y[1] (numeric) = -1.0880480509668444 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.63260881522812230000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9070000000000102 " " y[1] (analytic) = -1.0878324666374757 " " y[1] (numeric) = -1.087832466637474 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.63293236217799730000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.1532879510181897 " " Order of pole = 1.9717560917342780000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9060000000000104 " " y[1] (analytic) = -1.0876167049004724 " " y[1] (numeric) = -1.0876167049004706 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.63325630380309840000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9050000000000105 " " y[1] (analytic) = -1.0874007655568727 " " y[1] (numeric) = -1.0874007655568707 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.83777822089528610000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9040000000000106 " " y[1] (analytic) = -1.0871846484074512 " " y[1] (numeric) = -1.0871846484074492 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.83814354558134630000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.1506315351543073 " " Order of pole = 3.53495011040649840000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9030000000000107 " " y[1] (analytic) = -1.0869683532527208 " " y[1] (numeric) = -1.0869683532527192 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.42995169070376850000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9020000000000108 " " y[1] (analytic) = -1.0867518798929332 " " y[1] (numeric) = -1.0867518798929314 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.63455603092700160000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.901000000000011 " " y[1] (analytic) = -1.0865352281280762 " " y[1] (numeric) = -1.0865352281280745 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.63488195634542370000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.900000000000011 " " y[1] (analytic) = -1.0863183977578759 " " y[1] (numeric) = -1.0863183977578739 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.83960931569410430000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8990000000000111 " " y[1] (analytic) = -1.086101388581794 " " y[1] (numeric) = -1.086101388581792 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.83997687999897320000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8980000000000112 " " y[1] (analytic) = -1.08588420039903 " " y[1] (numeric) = -1.085884200399028 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.8403448945945880000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8970000000000113 " " y[1] (analytic) = -1.085666833008519 " " y[1] (numeric) = -1.085666833008517 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.8407133602741280000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8960000000000115 " " y[1] (analytic) = -1.0854492862089318 " " y[1] (numeric) = -1.0854492862089298 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.8410822778325740000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.143552192040198 " " Order of pole = 7.9758422089071250000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8950000000000116 " " y[1] (analytic) = -1.0852315597986748 " " y[1] (numeric) = -1.0852315597986726 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 2.04605738674079470000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8940000000000117 " " y[1] (analytic) = -1.085013653575889 " " y[1] (numeric) = -1.085013653575887 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.8418214717751550000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.1417833690643016 " " Order of pole = 1.0391687510491465000000000000E-12 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8930000000000118 " " y[1] (analytic) = -1.084795567338451 " " y[1] (numeric) = -1.084795567338449 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.8421917497583120000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.1408991101871386 " " Order of pole = 1.04805053524614780000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.892000000000012 " " y[1] (analytic) = -1.0845773008839714 " " y[1] (numeric) = -1.0845773008839694 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.842562482818430000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.14001495321892 " " Order of pole = 1.4424017535930034000000000000E-12 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.891000000000012 " " y[1] (analytic) = -1.0843588540097948 " " y[1] (numeric) = -1.0843588540097928 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.84293367175958040000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8900000000000121 " " y[1] (analytic) = -1.0841402265129991 " " y[1] (numeric) = -1.0841402265129974 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.63849361545570450000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.1382469455141586 " " Order of pole = 1.5862866575844237000000000000E-12 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8890000000000122 " " y[1] (analytic) = -1.0839214181903971 " " y[1] (numeric) = -1.083921418190395 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 2.04853046723381450000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.13736309503095 " " Order of pole = 6.3593574850528970000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8880000000000123 " " y[1] (analytic) = -1.083702428838532 " " y[1] (numeric) = -1.0837024288385302 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.63915553949996880000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8870000000000124 " " y[1] (analytic) = -1.0834832582536826 " " y[1] (numeric) = -1.0834832582536804 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 2.0493588916446610000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.135595701437937 " " Order of pole = 3.9435121834685560000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8860000000000126 " " y[1] (analytic) = -1.0832639062318576 " " y[1] (numeric) = -1.0832639062318554 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 2.049773869946570000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8850000000000127 " " y[1] (analytic) = -1.083044372568799 " " y[1] (numeric) = -1.0830443725687968 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 2.05018936018640550000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8840000000000128 " " y[1] (analytic) = -1.08282465705998 " " y[1] (numeric) = -1.0828246570599778 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 2.05060536327195730000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8830000000000129 " " y[1] (analytic) = -1.0826047595006052 " " y[1] (numeric) = -1.0826047595006028 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 2.25612406812440100000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.882000000000013 " " y[1] (analytic) = -1.0823846796856098 " " y[1] (numeric) = -1.0823846796856074 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 2.25658280278393440000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.881000000000013 " " y[1] (analytic) = -1.0821644174096599 " " y[1] (numeric) = -1.0821644174096574 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 2.25704210458319370000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.1302959888241317 " " Order of pole = 3.6948222259525210000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8800000000000132 " " y[1] (analytic) = -1.0819439724671516 " " y[1] (numeric) = -1.0819439724671491 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 2.25750197452992380000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.1294130646730633 " " Order of pole = 7.5672801358450670000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8790000000000133 " " y[1] (analytic) = -1.081723344652211 " " y[1] (numeric) = -1.0817233446522085 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 2.25796241363418030000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8780000000000134 " " y[1] (analytic) = -1.0815025337586937 " " y[1] (numeric) = -1.0815025337586912 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 2.25842342290833360000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.1276475271999646 " " Order of pole = 1.98951966012828050000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8770000000000135 " " y[1] (analytic) = -1.0812815395801842 " " y[1] (numeric) = -1.0812815395801818 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 2.25888500336707850000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8760000000000137 " " y[1] (analytic) = -1.081060361909996 " " y[1] (numeric) = -1.0810603619099937 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 2.25934715602743970000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8750000000000138 " " y[1] (analytic) = -1.0808390005411712 " " y[1] (numeric) = -1.0808390005411688 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 2.25980988190877670000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8740000000000139 " " y[1] (analytic) = -1.08061745526648 " " y[1] (numeric) = -1.0806174552664771 " " absolute error = 2.886579864025407000000000000000E-15 " " relative error = 2.67123194240238950000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.124117699187168 " " Order of pole = 3.67705865755851850000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.873000000000014 " " y[1] (analytic) = -1.0803957258784191 " " y[1] (numeric) = -1.0803957258784165 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 2.46625860809840450000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.1232355027175194 " " Order of pole = 1.8296475445822580000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.872000000000014 " " y[1] (analytic) = -1.0801738121692148 " " y[1] (numeric) = -1.080173812169212 " " absolute error = 2.886579864025407000000000000000E-15 " " relative error = 2.6723290562178610000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.122353410721303 " " Order of pole = 8.0646600508771370000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8710000000000142 " " y[1] (analytic) = -1.0799517139308186 " " y[1] (numeric) = -1.079951713930816 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 2.4672725870325950000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8700000000000143 " " y[1] (analytic) = -1.0797294309549095 " " y[1] (numeric) = -1.0797294309549068 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 2.46778052233314480000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8690000000000144 " " y[1] (analytic) = -1.079506963032893 " " y[1] (numeric) = -1.0795069630328902 " " absolute error = 2.886579864025407000000000000000E-15 " " relative error = 2.6739798471660730000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.1197077628768324 " " Order of pole = 6.8212102632969620000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8680000000000145 " " y[1] (analytic) = -1.0792843099559 " " y[1] (numeric) = -1.0792843099558969 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 2.88026467194492800000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.1188260900791933 " " Order of pole = 6.1994853695068740000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8670000000000146 " " y[1] (analytic) = -1.0790614715147866 " " y[1] (numeric) = -1.0790614715147837 " " absolute error = 2.886579864025407000000000000000E-15 " " relative error = 2.67508380219824370000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8660000000000148 " " y[1] (analytic) = -1.0788384475001358 " " y[1] (numeric) = -1.0788384475001327 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 2.88145502800135100000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8650000000000149 " " y[1] (analytic) = -1.0786152377022542 " " y[1] (numeric) = -1.0786152377022509 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 3.08791212793424530000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.864000000000015 " " y[1] (analytic) = -1.0783918419111727 " " y[1] (numeric) = -1.0783918419111695 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 2.88264835483287740000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.863000000000015 " " y[1] (analytic) = -1.0781682599166476 " " y[1] (numeric) = -1.0781682599166444 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 2.8832461356177970000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8620000000000152 " " y[1] (analytic) = -1.0779444915081582 " " y[1] (numeric) = -1.0779444915081549 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 3.08983356760375700000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8610000000000153 " " y[1] (analytic) = -1.0777205364749074 " " y[1] (numeric) = -1.0777205364749038 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 3.2965073584112950000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8600000000000154 " " y[1] (analytic) = -1.077496394605821 " " y[1] (numeric) = -1.0774963946058176 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 3.091118532321330000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8590000000000155 " " y[1] (analytic) = -1.0772720656895485 " " y[1] (numeric) = -1.077272065689545 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 3.29787970184342750000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8580000000000156 " " y[1] (analytic) = -1.0770475495144605 " " y[1] (numeric) = -1.077047549514457 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 3.2985671620552740000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.1100151658223383 " " Order of pole = 5.7731597280508140000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8570000000000157 " " y[1] (analytic) = -1.0768228458686504 " " y[1] (numeric) = -1.076822845868647 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 3.0930520156160773000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.109134656677968 " " Order of pole = 8.34887714518117700000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8560000000000159 " " y[1] (analytic) = -1.0765979545399338 " " y[1] (numeric) = -1.0765979545399302 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 3.29994466719815970000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.855000000000016 " " y[1] (analytic) = -1.0763728753158466 " " y[1] (numeric) = -1.0763728753158428 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 3.50692438493294700000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.854000000000016 " " y[1] (analytic) = -1.076147607983646 " " y[1] (numeric) = -1.0761476079836423 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 3.50765848078983640000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8530000000000162 " " y[1] (analytic) = -1.0759221523303104 " " y[1] (numeric) = -1.0759221523303064 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 3.7147695862511960000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.105613687265573 " " Order of pole = 1.66977542903623540000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8520000000000163 " " y[1] (analytic) = -1.075696508142537 " " y[1] (numeric) = -1.0756965081425334 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 3.3027100598617380000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8510000000000164 " " y[1] (analytic) = -1.0754706752067453 " " y[1] (numeric) = -1.0754706752067413 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 3.71632902764385500000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8500000000000165 " " y[1] (analytic) = -1.0752446533090718 " " y[1] (numeric) = -1.0752446533090678 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 3.7171102189165780000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8490000000000166 " " y[1] (analytic) = -1.075018442235374 " " y[1] (numeric) = -1.07501844223537 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 3.71789239293391470000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8480000000000167 " " y[1] (analytic) = -1.0747920417712271 " " y[1] (numeric) = -1.0747920417712231 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 3.71867555147128200000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.101214886678684 " " Order of pole = 1.4388490399142030000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8470000000000169 " " y[1] (analytic) = -1.0745654517019256 " " y[1] (numeric) = -1.0745654517019216 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 3.7194596963082327000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.1003354493985853 " " Order of pole = 8.1179507560591450000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.846000000000017 " " y[1] (analytic) = -1.0743386718124814 " " y[1] (numeric) = -1.0743386718124774 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 3.72024482922846730000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.845000000000017 " " y[1] (analytic) = -1.0741117018876247 " " y[1] (numeric) = -1.0741117018876207 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 3.7210309520198440000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.09857689875789 " " Order of pole = 6.0218496855668490000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8440000000000172 " " y[1] (analytic) = -1.0738845417118028 " " y[1] (numeric) = -1.0738845417117988 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 3.7218180664743950000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.0976977856689065 " " Order of pole = 4.6540549192286560000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8430000000000173 " " y[1] (analytic) = -1.0736571910691801 " " y[1] (numeric) = -1.0736571910691761 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 3.72260617438833200000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.0968187809156222 " " Order of pole = 1.13509202037676000000000000E-12 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8420000000000174 " " y[1] (analytic) = -1.073429649743638 " " y[1] (numeric) = -1.0734296497436338 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 3.9302505707599580000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.0959398846342054 " " Order of pole = 1.056932319443149000000000000E-12 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8410000000000175 " " y[1] (analytic) = -1.073201917518773 " " y[1] (numeric) = -1.073201917518769 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 3.7241853778002120000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.095061096961252 " " Order of pole = 1.156408302449563000000000000E-12 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8400000000000176 " " y[1] (analytic) = -1.0729739941778993 " " y[1] (numeric) = -1.072973994177895 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 3.93191961451780400000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8390000000000177 " " y[1] (analytic) = -1.0727458795040454 " " y[1] (numeric) = -1.072745879504041 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 4.13974286301034400000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8380000000000178 " " y[1] (analytic) = -1.072517573279955 " " y[1] (numeric) = -1.0725175732799508 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 3.93359288340011770000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.0924253869614273 " " Order of pole = 1.694644424787839000000000000E-12 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.837000000000018 " " y[1] (analytic) = -1.0722890752880878 " " y[1] (numeric) = -1.0722890752880834 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 4.14150642848572200000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.836000000000018 " " y[1] (analytic) = -1.0720603853106168 " " y[1] (numeric) = -1.0720603853106123 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 4.1423898871274220000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.090668792515983 " " Order of pole = 4.8139270347746790000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8350000000000182 " " y[1] (analytic) = -1.0718315031294297 " " y[1] (numeric) = -1.0718315031294252 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 4.1432744657481520000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8340000000000183 " " y[1] (analytic) = -1.0716024285261276 " " y[1] (numeric) = -1.0716024285261232 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 4.14416016638613770000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.0889126357988514 " " Order of pole = 1.06581410364015030000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8330000000000184 " " y[1] (analytic) = -1.0713731612820259 " " y[1] (numeric) = -1.0713731612820212 " " absolute error = 4.6629367034256575000000000000000E-15 " " relative error = 4.35229934063860350000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8320000000000185 " " y[1] (analytic) = -1.0711437011781517 " " y[1] (numeric) = -1.071143701178147 " " absolute error = 4.6629367034256575000000000000000E-15 " " relative error = 4.35323168898523200000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.0871569179151264 " " Order of pole = 2.5011104298755527000000000000E-12 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8310000000000186 " " y[1] (analytic) = -1.0709140479952457 " " y[1] (numeric) = -1.0709140479952413 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 4.14682402085768700000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8300000000000187 " " y[1] (analytic) = -1.0706842015137612 " " y[1] (numeric) = -1.0706842015137565 " " absolute error = 4.6629367034256575000000000000000E-15 " " relative error = 4.3550999415449260000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8290000000000188 " " y[1] (analytic) = -1.0704541615138623 " " y[1] (numeric) = -1.0704541615138576 " " absolute error = 4.6629367034256575000000000000000E-15 " " relative error = 4.3560358500836870000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.828000000000019 " " y[1] (analytic) = -1.0702239277754257 " " y[1] (numeric) = -1.0702239277754209 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 4.5644478520533943000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.083646803083635 " " Order of pole = 1.6147083670148277000000000000E-12 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.827000000000019 " " y[1] (analytic) = -1.0699935000780387 " " y[1] (numeric) = -1.0699935000780338 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 4.5654308255091340000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.082769550382575 " " Order of pole = 2.1156409957256983000000000000E-12 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8260000000000192 " " y[1] (analytic) = -1.0697628782010002 " " y[1] (numeric) = -1.0697628782009951 " " absolute error = 5.10702591327572000000000000000E-15 " " relative error = 4.7739793718250045000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8250000000000193 " " y[1] (analytic) = -1.0695320619233186 " " y[1] (numeric) = -1.0695320619233135 " " absolute error = 5.10702591327572000000000000000E-15 " " relative error = 4.775009646828030000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8240000000000194 " " y[1] (analytic) = -1.069301051023713 " " y[1] (numeric) = -1.0693010510237082 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 4.5683872691174960000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8230000000000195 " " y[1] (analytic) = -1.069069845280613 " " y[1] (numeric) = -1.069069845280608 " " absolute error = 5.10702591327572000000000000000E-15 " " relative error = 4.777074141432929300000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.0792616477971717 " " Order of pole = 3.81916720471053850000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8220000000000196 " " y[1] (analytic) = -1.0688384444721564 " " y[1] (numeric) = -1.068838444472151 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 4.9858522078446580000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8210000000000197 " " y[1] (analytic) = -1.0686068483761901 " " y[1] (numeric) = -1.0686068483761848 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 4.9869327772871580000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8200000000000198 " " y[1] (analytic) = -1.0683750567702703 " " y[1] (numeric) = -1.068375056770265 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 4.9880147280026270000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.81900000000002 " " y[1] (analytic) = -1.0681430694316616 " " y[1] (numeric) = -1.068143069431656 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 5.196977148463290000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.075755525313995 " " Order of pole = 2.427176681862874800000000E-9 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.81800000000002 " " y[1] (analytic) = -1.0679108861373359 " " y[1] (numeric) = -1.0679108861373303 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 5.1981070660346240000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.074879273597382 " " Order of pole = 1.093702906018734200000000000E-11 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8170000000000202 " " y[1] (analytic) = -1.067678506663973 " " y[1] (numeric) = -1.0676785066639674 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 5.1992384303685050000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8160000000000203 " " y[1] (analytic) = -1.0674459307879596 " " y[1] (numeric) = -1.0674459307879542 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 4.9923563943580507000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8150000000000204 " " y[1] (analytic) = -1.0672131582853899 " " y[1] (numeric) = -1.0672131582853848 " " absolute error = 5.10702591327572000000000000000E-15 " " relative error = 4.7853850691653665000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8140000000000205 " " y[1] (analytic) = -1.0669801889320647 " " y[1] (numeric) = -1.0669801889320591 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 5.2026412305573040000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8130000000000206 " " y[1] (analytic) = -1.0667470225034892 " " y[1] (numeric) = -1.0667470225034839 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 4.9956272722414097000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8120000000000207 " " y[1] (analytic) = -1.0665136587748765 " " y[1] (numeric) = -1.0665136587748711 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 4.9967203648590414000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.069624120462516 " " Order of pole = 4.6540549192286560000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8110000000000208 " " y[1] (analytic) = -1.066280097521144 " " y[1] (numeric) = -1.0662800975211386 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 4.9978148617700124000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.810000000000021 " " y[1] (analytic) = -1.0660463385169139 " " y[1] (numeric) = -1.0660463385169086 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 4.9989107655625614000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.809000000000021 " " y[1] (analytic) = -1.0658123815365137 " " y[1] (numeric) = -1.0658123815365084 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 5.000008078831070000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.066998064827423 " " Order of pole = 6.5902838741749290000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8080000000000211 " " y[1] (analytic) = -1.065578226353975 " " y[1] (numeric) = -1.0655782263539695 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 5.2094862543500910000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8070000000000213 " " y[1] (analytic) = -1.0653438727430329 " " y[1] (numeric) = -1.0653438727430273 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 5.2106322335461950000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8060000000000214 " " y[1] (analytic) = -1.065109320477126 " " y[1] (numeric) = -1.0651093204771207 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 5.0033085015287850000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8050000000000215 " " y[1] (analytic) = -1.064874569329397 " " y[1] (numeric) = -1.0648745693293917 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 5.0044114787685500000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8040000000000216 " " y[1] (analytic) = -1.0646396190726906 " " y[1] (numeric) = -1.0646396190726852 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 5.0055158785490370000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.0626235720558324 " " Order of pole = 7.9758422089071250000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8030000000000217 " " y[1] (analytic) = -1.064404469479554 " " y[1] (numeric) = -1.0644044694795485 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 5.2152309411478040000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.0617490147931092 " " Order of pole = 7.7626793881790950000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8020000000000218 " " y[1] (analytic) = -1.0641691203222365 " " y[1] (numeric) = -1.064169120322231 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 5.2163843294427410000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.0608745716322665 " " Order of pole = 1.1191048088221578000000000000E-12 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.801000000000022 " " y[1] (analytic) = -1.0639335713726892 " " y[1] (numeric) = -1.0639335713726839 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 5.0088376394826740000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.800000000000022 " " y[1] (analytic) = -1.0636978224025646 " " y[1] (numeric) = -1.0636978224025593 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 5.0099477558053350000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7990000000000221 " " y[1] (analytic) = -1.0634618731832164 " " y[1] (numeric) = -1.0634618731832108 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 5.2198534457186130000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7980000000000222 " " y[1] (analytic) = -1.063225723485698 " " y[1] (numeric) = -1.0632257234856923 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 5.4298533232660930000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.057377942916721 " " Order of pole = 4.4053649617126210000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7970000000000224 " " y[1] (analytic) = -1.0629893730807636 " " y[1] (numeric) = -1.062989373080758 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 5.2221736770871940000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7960000000000225 " " y[1] (analytic) = -1.0627528217388675 " " y[1] (numeric) = -1.062752821738862 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 5.2233360472692910000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7950000000000226 " " y[1] (analytic) = -1.062516069230163 " " y[1] (numeric) = -1.0625160692301576 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 5.0155199272062630000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7940000000000227 " " y[1] (analytic) = -1.062279115324503 " " y[1] (numeric) = -1.0622791153244975 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 5.225665310599690000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7930000000000228 " " y[1] (analytic) = -1.0620419597914383 " " y[1] (numeric) = -1.062041959791433 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 5.0177589209820520000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.792000000000023 " " y[1] (analytic) = -1.061804602400219 " " y[1] (numeric) = -1.061804602400214 " " absolute error = 5.10702591327572000000000000000E-15 " " relative error = 4.8097605733966886000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.0521364477051924 " " Order of pole = 1.065814103640150300000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.791000000000023 " " y[1] (analytic) = -1.0615670429197932 " " y[1] (numeric) = -1.0615670429197877 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 5.2291705551235710000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7900000000000231 " " y[1] (analytic) = -1.0613292811188053 " " y[1] (numeric) = -1.0613292811188 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 5.0211283274716460000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7890000000000232 " " y[1] (analytic) = -1.0610913167655984 " " y[1] (numeric) = -1.0610913167655933 " " absolute error = 5.10702591327572000000000000000E-15 " " relative error = 4.812993785344390000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.0495172602348086 " " Order of pole = 8.7396756498492320000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7880000000000233 " " y[1] (analytic) = -1.0608531496282123 " " y[1] (numeric) = -1.060853149628207 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 5.0233819073529470000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.0486444298609867 " " Order of pole = 1.0267342531733448000000000000E-12 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7870000000000235 " " y[1] (analytic) = -1.0606147794743825 " " y[1] (numeric) = -1.0606147794743772 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 5.0245108981431710000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.04777171579258 " " Order of pole = 7.105427357601002000000000000000E-15 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7860000000000236 " " y[1] (analytic) = -1.0603762060715414 " " y[1] (numeric) = -1.060376206071536 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 5.0256413598186770000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.0468991181785836 " " Order of pole = 5.0093262871087060000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7850000000000237 " " y[1] (analytic) = -1.060137429186817 " " y[1] (numeric) = -1.0601374291868115 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 5.2362221824238300000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.0460266371677798 " " Order of pole = 3.01980662698042600000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7840000000000238 " " y[1] (analytic) = -1.0598984485870324 " " y[1] (numeric) = -1.0598984485870269 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 5.2374028196060320000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.045154272909535 " " Order of pole = 1.24344978758017530000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.783000000000024 " " y[1] (analytic) = -1.0596592640387064 " " y[1] (numeric) = -1.0596592640387006 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 5.4481283974694120000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.782000000000024 " " y[1] (analytic) = -1.059419875308051 " " y[1] (numeric) = -1.0594198753080455 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 5.2397687191885710000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7810000000000241 " " y[1] (analytic) = -1.0591802821609748 " " y[1] (numeric) = -1.059180282160969 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 5.4505921468555120000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7800000000000242 " " y[1] (analytic) = -1.0589404843630783 " " y[1] (numeric) = -1.0589404843630725 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 5.451826437179990000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7790000000000243 " " y[1] (analytic) = -1.0587004816796561 " " y[1] (numeric) = -1.0587004816796506 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 5.2433291749511570000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.0407942081455395 " " Order of pole = 8.3311135767871750000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7780000000000244 " " y[1] (analytic) = -1.058460273875697 " " y[1] (numeric) = -1.0584602738756912 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 5.4542998641900840000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7770000000000246 " " y[1] (analytic) = -1.0582198607158808 " " y[1] (numeric) = -1.058219860715875 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 5.4555390069368940000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7760000000000247 " " y[1] (analytic) = -1.0579792419645813 " " y[1] (numeric) = -1.0579792419645755 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 5.4567797732312080000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.038179579919407 " " Order of pole = 1.0267342531733448000000000000E-12 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7750000000000248 " " y[1] (analytic) = -1.0577384173858637 " " y[1] (numeric) = -1.0577384173858577 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 5.6679460955881980000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.774000000000025 " " y[1] (analytic) = -1.0574973867434845 " " y[1] (numeric) = -1.0574973867434785 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 5.669237965152620000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.036437084714436 " " Order of pole = 4.03233002543856860000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.773000000000025 " " y[1] (analytic) = -1.057256149800892 " " y[1] (numeric) = -1.0572561498008863 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 5.4605118439254720000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.772000000000025 " " y[1] (analytic) = -1.057014706321226 " " y[1] (numeric) = -1.05701470632122 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 5.6718267940104770000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7710000000000252 " " y[1] (analytic) = -1.0567730560673159 " " y[1] (numeric) = -1.0567730560673096 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 5.8832394544934740000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7700000000000253 " " y[1] (analytic) = -1.056531198801681 " " y[1] (numeric) = -1.056531198801675 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 5.6744224304740020000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7690000000000254 " " y[1] (analytic) = -1.0562891342865321 " " y[1] (numeric) = -1.056289134286526 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 5.8859347654847380000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7680000000000256 " " y[1] (analytic) = -1.0560468622837675 " " y[1] (numeric) = -1.0560468622837613 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 5.8872850817014750000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.0312124458068084 " " Order of pole = 1.0977885267493548000000000000E-12 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7670000000000257 " " y[1] (analytic) = -1.0558043825549759 " " y[1] (numeric) = -1.0558043825549697 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 5.8886371761931420000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7660000000000258 " " y[1] (analytic) = -1.0555616948614344 " " y[1] (numeric) = -1.0555616948614281 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 5.8899910523155420000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7650000000000259 " " y[1] (analytic) = -1.055318798964108 " " y[1] (numeric) = -1.0553187989641017 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 5.8913467134326380000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.764000000000026 " " y[1] (analytic) = -1.0550756946236501 " " y[1] (numeric) = -1.055075694623644 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 5.8927041629165720000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.0277317376813624 " " Order of pole = 5.2580162446247410000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.763000000000026 " " y[1] (analytic) = -1.0548323816004015 " " y[1] (numeric) = -1.0548323816003953 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 5.8940634041476890000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.0268618601179207 " " Order of pole = 1.6644463585180347000000000000E-12 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7620000000000262 " " y[1] (analytic) = -1.0545888596543902 " " y[1] (numeric) = -1.054588859654384 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 5.8954244405145650000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7610000000000263 " " y[1] (analytic) = -1.0543451285453311 " " y[1] (numeric) = -1.054345128545325 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 5.8967872754140280000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.0251224654326787 " " Order of pole = 1.06581410364015030000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7600000000000264 " " y[1] (analytic) = -1.0541011880326256 " " y[1] (numeric) = -1.0541011880326194 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 5.8981519122511850000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7590000000000265 " " y[1] (analytic) = -1.0538570378753613 " " y[1] (numeric) = -1.053857037875355 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 6.1102154385265650000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.02338355236971 " " Order of pole = 4.9382720135326963000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7580000000000267 " " y[1] (analytic) = -1.053612677832311 " " y[1] (numeric) = -1.0536126778323045 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 6.1116325555934150000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7570000000000268 " " y[1] (analytic) = -1.0533681076619332 " " y[1] (numeric) = -1.0533681076619268 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 6.1130515495847230000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7560000000000269 " " y[1] (analytic) = -1.0531233271223712 " " y[1] (numeric) = -1.053123327122365 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 5.9036285473699720000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.755000000000027 " " y[1] (analytic) = -1.0528783359714537 " " y[1] (numeric) = -1.0528783359714473 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 6.1158951825944810000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.754000000000027 " " y[1] (analytic) = -1.0526331339666921 " " y[1] (numeric) = -1.052633133966686 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 5.9063777657008520000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.019038384974483 " " Order of pole = 7.8514972301491070000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7530000000000272 " " y[1] (analytic) = -1.0523877208652832 " " y[1] (numeric) = -1.0523877208652768 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 6.1187463661505470000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.0181697153609988 " " Order of pole = 5.7021054544748040000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7520000000000273 " " y[1] (analytic) = -1.052142096424106 " " y[1] (numeric) = -1.0521420964240995 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 6.1201747983575640000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.017301167401683 " " Order of pole = 2.73558953267638570000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7510000000000274 " " y[1] (analytic) = -1.0518962603997233 " " y[1] (numeric) = -1.0518962603997168 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 6.1216051289876820000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7500000000000275 " " y[1] (analytic) = -1.0516502125483804 " " y[1] (numeric) = -1.051650212548374 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 6.1230373616547650000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.015564437074715 " " Order of pole = 6.1639582327188690000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7490000000000276 " " y[1] (analytic) = -1.0514039526260053 " " y[1] (numeric) = -1.0514039526259988 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 6.1244714999815380000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7480000000000278 " " y[1] (analytic) = -1.051157480388207 " " y[1] (numeric) = -1.051157480388201 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 5.9146693563030720000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7470000000000279 " " y[1] (analytic) = -1.0509107955902777 " " y[1] (numeric) = -1.0509107955902715 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 5.9160577320064170000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.746000000000028 " " y[1] (analytic) = -1.0506638979871892 " " y[1] (numeric) = -1.050663897987183 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 5.9174479582020290000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.745000000000028 " " y[1] (analytic) = -1.050416787333595 " " y[1] (numeric) = -1.0504167873335888 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 5.9188400384221780000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7440000000000282 " " y[1] (analytic) = -1.050169463383829 " " y[1] (numeric) = -1.0501694633838228 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 5.9202339762078180000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.010357182194345 " " Order of pole = 8.2600593032111650000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7430000000000283 " " y[1] (analytic) = -1.0499219258919048 " " y[1] (numeric) = -1.0499219258918986 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 5.9216297751086080000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7420000000000284 " " y[1] (analytic) = -1.0496741746115164 " " y[1] (numeric) = -1.0496741746115101 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 5.9230274386829370000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7410000000000285 " " y[1] (analytic) = -1.0494262092960365 " " y[1] (numeric) = -1.0494262092960303 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 5.9244269704979610000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.007755214163485 " " Order of pole = 1.6111556533360272000000000000E-12 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7400000000000286 " " y[1] (analytic) = -1.049178029698517 " " y[1] (numeric) = -1.049178029698511 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 5.714191646482130000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.0068881383875548 " " Order of pole = 1.623590151211829000000000000E-12 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7390000000000287 " " y[1] (analytic) = -1.0489296355716888 " " y[1] (numeric) = -1.0489296355716826 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 5.927231653162650000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7380000000000289 " " y[1] (analytic) = -1.04868102666796 " " y[1] (numeric) = -1.048681026667954 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 5.716899782219560000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.737000000000029 " " y[1] (analytic) = -1.0484322027394177 " " y[1] (numeric) = -1.0484322027394117 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 5.718256571394080000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.004287654006253 " " Order of pole = 5.137223979545524000000000000E-12 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.736000000000029 " " y[1] (analytic) = -1.0481831635378258 " " y[1] (numeric) = -1.0481831635378198 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 5.7196151794127680000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7350000000000292 " " y[1] (analytic) = -1.0479339088146256 " " y[1] (numeric) = -1.0479339088146196 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 5.7209756097665960000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7340000000000293 " " y[1] (analytic) = -1.047684438320935 " " y[1] (numeric) = -1.0476844383209287 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 5.9342763054349770000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.0016882874214788 " " Order of pole = 6.6613381477509390000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7330000000000294 " " y[1] (analytic) = -1.0474347518075477 " " y[1] (numeric) = -1.0474347518075415 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 5.9356909126528710000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 2.000822081045902 " " Order of pole = 2.1582735598713043000000000000E-12 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7320000000000295 " " y[1] (analytic) = -1.0471848490249347 " " y[1] (numeric) = -1.0471848490249283 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 6.1491469713505950000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7310000000000296 " " y[1] (analytic) = -1.0469347297232408 " " y[1] (numeric) = -1.0469347297232348 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 5.726435624655120000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7300000000000297 " " y[1] (analytic) = -1.046684393652288 " " y[1] (numeric) = -1.0466843936522818 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 5.939946153402060000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9982242116439881 " " Order of pole = 3.8724579098925460000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7290000000000298 " " y[1] (analytic) = -1.0464338405615718 " " y[1] (numeric) = -1.0464338405615654 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 6.1535601136238500000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.72800000000003 " " y[1] (analytic) = -1.0461830702002626 " " y[1] (numeric) = -1.046183070200256 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 6.3672777140962630000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9964929251064591 " " Order of pole = 1.24344978758017530000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.72700000000003 " " y[1] (analytic) = -1.0459320823172042 " " y[1] (numeric) = -1.0459320823171978 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 6.1565121212842160000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7260000000000302 " " y[1] (analytic) = -1.0456808766609156 " " y[1] (numeric) = -1.0456808766609091 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 6.1579911104312820000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7250000000000303 " " y[1] (analytic) = -1.045429452979588 " " y[1] (numeric) = -1.0454294529795816 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 6.1594720949110620000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7240000000000304 " " y[1] (analytic) = -1.0451778110210859 " " y[1] (numeric) = -1.0451778110210792 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 6.3734018054240440000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7230000000000305 " " y[1] (analytic) = -1.0449259505329462 " " y[1] (numeric) = -1.0449259505329396 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 6.3749379985763010000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9921669106779583 " " Order of pole = 1.6164847238542280000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7220000000000306 " " y[1] (analytic) = -1.0446738712623782 " " y[1] (numeric) = -1.0446738712623715 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 6.3764762678532530000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7210000000000307 " " y[1] (analytic) = -1.0444215729562631 " " y[1] (numeric) = -1.0444215729562565 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 6.3780166172705950000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.990437389118351 " " Order of pole = 5.0093262871087060000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7200000000000308 " " y[1] (analytic) = -1.0441690553611538 " " y[1] (numeric) = -1.044169055361147 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 6.5922110192158190000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.719000000000031 " " y[1] (analytic) = -1.0439163182232736 " " y[1] (numeric) = -1.0439163182232667 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 6.5938070250605540000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.718000000000031 " " y[1] (analytic) = -1.043663361288517 " " y[1] (numeric) = -1.0436633612885102 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 6.5954051928944580000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9878440582702626 " " Order of pole = 8.082423619271140000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7170000000000312 " " y[1] (analytic) = -1.043410184302449 " " y[1] (numeric) = -1.0434101843024421 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 6.5970055269085940000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7160000000000313 " " y[1] (analytic) = -1.043156787010304 " " y[1] (numeric) = -1.0431567870102971 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 6.5986080313044810000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9861158072983636 " " Order of pole = 9.361400543639320000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7150000000000314 " " y[1] (analytic) = -1.0429031691569866 " " y[1] (numeric) = -1.0429031691569797 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 6.6002127102941290000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7140000000000315 " " y[1] (analytic) = -1.0426493304870705 " " y[1] (numeric) = -1.0426493304870634 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 6.8147814896516770000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7130000000000316 " " y[1] (analytic) = -1.0423952707447974 " " y[1] (numeric) = -1.0423952707447905 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 6.6034286089553670000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7120000000000317 " " y[1] (analytic) = -1.0421409896740794 " " y[1] (numeric) = -1.042140989674072 " " absolute error = 7.327471962526033000000000000000E-15 " " relative error = 7.0311714394974880000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7110000000000318 " " y[1] (analytic) = -1.0418864870184943 " " y[1] (numeric) = -1.0418864870184872 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 6.8197711037928790000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9817974164884598 " " Order of pole = 6.5014660322049170000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.710000000000032 " " y[1] (analytic) = -1.0416317625212894 " " y[1] (numeric) = -1.0416317625212823 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 6.821438835930060000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.709000000000032 " " y[1] (analytic) = -1.041376815925379 " " y[1] (numeric) = -1.0413768159253716 " " absolute error = 7.327471962526033000000000000000E-15 " " relative error = 7.0363309903483510000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9800709583245248 " " Order of pole = 2.7178259642823830000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7080000000000322 " " y[1] (analytic) = -1.0411216469733433 " " y[1] (numeric) = -1.0411216469733362 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 6.8247811178043140000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7070000000000323 " " y[1] (analytic) = -1.0408662554074306 " " y[1] (numeric) = -1.0408662554074237 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 6.6131289365141150000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9783450154106517 " " Order of pole = 1.77635683940025050000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7060000000000324 " " y[1] (analytic) = -1.0406106409695548 " " y[1] (numeric) = -1.040610640969548 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 6.6147533781344040000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7050000000000325 " " y[1] (analytic) = -1.0403548034012955 " " y[1] (numeric) = -1.0403548034012886 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 6.6163800370524630000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7040000000000326 " " y[1] (analytic) = -1.040098742443898 " " y[1] (numeric) = -1.040098742443891 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 6.8314930762299820000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7030000000000327 " " y[1] (analytic) = -1.0398424578382723 " " y[1] (numeric) = -1.0398424578382652 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 6.8331767990821120000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9748946807362078 " " Order of pole = 1.6520118606422330000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7020000000000328 " " y[1] (analytic) = -1.0395859493249937 " " y[1] (numeric) = -1.0395859493249866 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 6.8348628241989770000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9740324212130138 " " Order of pole = 8.881784197001252000000000000000E-15 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.701000000000033 " " y[1] (analytic) = -1.039329216644302 " " y[1] (numeric) = -1.0393292166442945 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 7.263835603338760000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.700000000000033 " " y[1] (analytic) = -1.0390722595360993 " " y[1] (numeric) = -1.0390722595360922 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 6.8382417992501000000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9723082923317163 " " Order of pole = 9.858780458671390000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6990000000000332 " " y[1] (analytic) = -1.038815077739954 " " y[1] (numeric) = -1.0388150777399467 " " absolute error = 7.327471962526033000000000000000E-15 " " relative error = 7.0536827194188210000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6980000000000333 " " y[1] (analytic) = -1.0385576709950957 " " y[1] (numeric) = -1.0385576709950883 " " absolute error = 7.327471962526033000000000000000E-15 " " relative error = 7.0554309762164710000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9705846848080746 " " Order of pole = 7.81597009336110200000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6970000000000334 " " y[1] (analytic) = -1.0383000390404176 " " y[1] (numeric) = -1.03830003904041 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 7.2710356193651140000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6960000000000335 " " y[1] (analytic) = -1.038042181614475 " " y[1] (numeric) = -1.0380421816144676 " " absolute error = 7.327471962526033000000000000000E-15 " " relative error = 7.0589346871526550000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6950000000000336 " " y[1] (analytic) = -1.0377840984554862 " " y[1] (numeric) = -1.0377840984554787 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 7.2746504583052120000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6940000000000337 " " y[1] (analytic) = -1.03752578930133 " " y[1] (numeric) = -1.0375257893013228 " " absolute error = 7.327471962526033000000000000000E-15 " " relative error = 7.0624480259525440000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6930000000000338 " " y[1] (analytic) = -1.037267253889548 " " y[1] (numeric) = -1.0372672538895404 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 7.2782752363403580000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.692000000000034 " " y[1] (analytic) = -1.0370084919573412 " " y[1] (numeric) = -1.037008491957334 " " absolute error = 7.327471962526033000000000000000E-15 " " relative error = 7.0659710304739320000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9654170040986507 " " Order of pole = 5.329070518200751000000000000000E-15 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.691000000000034 " " y[1] (analytic) = -1.0367495032415728 " " y[1] (numeric) = -1.0367495032415652 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 7.2819099925741200000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6900000000000341 " " y[1] (analytic) = -1.0364902874787651 " " y[1] (numeric) = -1.0364902874787574 " " absolute error = 7.771561172376096000000000000000E-15 " " relative error = 7.4979585108126870000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6890000000000343 " " y[1] (analytic) = -1.0362308444051007 " " y[1] (numeric) = -1.036230844405093 " " absolute error = 7.771561172376096000000000000000E-15 " " relative error = 7.4998357888465890000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6880000000000344 " " y[1] (analytic) = -1.0359711737564214 " " y[1] (numeric) = -1.035971173756414 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 7.2873809220739130000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6870000000000345 " " y[1] (analytic) = -1.0357112752682291 " " y[1] (numeric) = -1.0357112752682216 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 7.2892095970432360000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6860000000000346 " " y[1] (analytic) = -1.0354511486756834 " " y[1] (numeric) = -1.035451148675676 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 7.2910407961850350000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6850000000000347 " " y[1] (analytic) = -1.035190793713603 " " y[1] (numeric) = -1.0351907937135953 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 7.2928745244808680000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9593940389825066 " " Order of pole = 1.84741111297626050000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6840000000000348 " " y[1] (analytic) = -1.034930210116464 " " y[1] (numeric) = -1.0349302101164561 " " absolute error = 7.771561172376096000000000000000E-15 " " relative error = 7.5092611041874390000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.958534145732528 " " Order of pole = 3.7303493627405260000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.683000000000035 " " y[1] (analytic) = -1.0346693976184 " " y[1] (numeric) = -1.0346693976183925 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 7.2965495885241480000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9576743855913443 " " Order of pole = 9.7699626167013780000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.682000000000035 " " y[1] (analytic) = -1.0344083559532036 " " y[1] (numeric) = -1.0344083559531958 " " absolute error = 7.771561172376096000000000000000E-15 " " relative error = 7.5130494911892220000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9568147587343176 " " Order of pole = 9.6278540695493580000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6810000000000351 " " y[1] (analytic) = -1.034147084854322 " " y[1] (numeric) = -1.0341470848543142 " " absolute error = 7.771561172376096000000000000000E-15 " " relative error = 7.5149476183756380000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6800000000000352 " " y[1] (analytic) = -1.0338855840548602 " " y[1] (numeric) = -1.0338855840548524 " " absolute error = 7.771561172376096000000000000000E-15 " " relative error = 7.5168483749394470000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6790000000000354 " " y[1] (analytic) = -1.0336238532875792 " " y[1] (numeric) = -1.0336238532875714 " " absolute error = 7.771561172376096000000000000000E-15 " " relative error = 7.5187517660874450000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.954236679627245 " " Order of pole = 1.177724584522366000000000000E-12 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6780000000000355 " " y[1] (analytic) = -1.033361892284896 " " y[1] (numeric) = -1.0333618922848882 " " absolute error = 7.771561172376096000000000000000E-15 " " relative error = 7.5206577970396950000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6770000000000356 " " y[1] (analytic) = -1.0330997007788825 " " y[1] (numeric) = -1.0330997007788745 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 7.7374969436875520000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.952518629872772 " " Order of pole = 3.7303493627405260000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6760000000000357 " " y[1] (analytic) = -1.0328372785012656 " " y[1] (numeric) = -1.0328372785012576 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 7.7394628792838750000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6750000000000358 " " y[1] (analytic) = -1.0325746251834276 " " y[1] (numeric) = -1.0325746251834196 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 7.741431546297330000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.950801117489973 " " Order of pole = 2.486899575160350700000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.674000000000036 " " y[1] (analytic) = -1.0323117405564046 " " y[1] (numeric) = -1.0323117405563966 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 7.7434029501521140000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.673000000000036 " " y[1] (analytic) = -1.0320486243508868 " " y[1] (numeric) = -1.0320486243508789 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 7.7453770962862860000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9490841438994495 " " Order of pole = 3.81916720471053850000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6720000000000361 " " y[1] (analytic) = -1.0317852762972182 " " y[1] (numeric) = -1.03178527629721 " " absolute error = 8.215650382226158000000000000000E-15 " " relative error = 7.9625582676560140000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6710000000000362 " " y[1] (analytic) = -1.0315216961253952 " " y[1] (numeric) = -1.0315216961253868 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 8.1798521726153540000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6700000000000363 " " y[1] (analytic) = -1.0312578835650674 " " y[1] (numeric) = -1.0312578835650592 " " absolute error = 8.215650382226158000000000000000E-15 " " relative error = 7.966630377480930000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.946509696867755 " " Order of pole = 2.2915003228263230000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6690000000000365 " " y[1] (analytic) = -1.0309938383455377 " " y[1] (numeric) = -1.0309938383455293 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 8.1840401691356130000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6680000000000366 " " y[1] (analytic) = -1.03072956019576 " " y[1] (numeric) = -1.0307295601957516 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 8.1861385498138530000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9447940765028873 " " Order of pole = 1.758593271006248000000000000E-12 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6670000000000367 " " y[1] (analytic) = -1.03046504884434 " " y[1] (numeric) = -1.0304650488443319 " " absolute error = 8.215650382226158000000000000000E-15 " " relative error = 7.9727598635586490000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6660000000000368 " " y[1] (analytic) = -1.030200304019536 " " y[1] (numeric) = -1.0302003040195276 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 8.1903441051510150000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9430789999380518 " " Order of pole = 4.03233002543856860000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.665000000000037 " " y[1] (analytic) = -1.0299353254492556 " " y[1] (numeric) = -1.0299353254492472 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 8.1924512915125860000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.664000000000037 " " y[1] (analytic) = -1.0296701128610581 " " y[1] (numeric) = -1.0296701128610497 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 8.1945614248296220000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6630000000000371 " " y[1] (analytic) = -1.029404665982153 " " y[1] (numeric) = -1.0294046659821443 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 8.4123764718066240000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6620000000000372 " " y[1] (analytic) = -1.0291389845393988 " " y[1] (numeric) = -1.0291389845393901 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 8.4145482021089420000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.939650483979056 " " Order of pole = 1.8296475445822580000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6610000000000373 " " y[1] (analytic) = -1.0288730682593046 " " y[1] (numeric) = -1.028873068259296 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 8.41672297509660000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9387936971220894 " " Order of pole = 6.3948846218409020000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6600000000000374 " " y[1] (analytic) = -1.028606916868028 " " y[1] (numeric) = -1.0286069168680194 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 8.4189007968602650000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6590000000000376 " " y[1] (analytic) = -1.0283405300913757 " " y[1] (numeric) = -1.028340530091367 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 8.4210816735062840000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9370805352385863 " " Order of pole = 2.45137243837234560000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6580000000000377 " " y[1] (analytic) = -1.0280739076548029 " " y[1] (numeric) = -1.028073907654794 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 8.639246780673570000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.936224160576525 " " Order of pole = 4.2632564145606010000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6570000000000378 " " y[1] (analytic) = -1.0278070492834122 " " y[1] (numeric) = -1.0278070492834035 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 8.425452615949460000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9353679236776382 " " Order of pole = 4.9027448767446913000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6560000000000379 " " y[1] (analytic) = -1.0275399547019548 " " y[1] (numeric) = -1.027539954701946 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 8.6437360964493850000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9345118247248765 " " Order of pole = 7.2652994731470240000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.655000000000038 " " y[1] (analytic) = -1.0272726236348284 " " y[1] (numeric) = -1.0272726236348195 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 8.6459854888126760000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.933655863901452 " " Order of pole = 1.0178524689763435000000000000E-12 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.654000000000038 " " y[1] (analytic) = -1.0270050558060784 " " y[1] (numeric) = -1.0270050558060695 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 8.6482380459462240000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9328000413907855 " " Order of pole = 2.80664380625239600000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6530000000000382 " " y[1] (analytic) = -1.0267372509393962 " " y[1] (numeric) = -1.0267372509393873 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 8.6504937742105010000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9319443573768629 " " Order of pole = 5.1691984026547290000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6520000000000383 " " y[1] (analytic) = -1.0264692087581193 " " y[1] (numeric) = -1.0264692087581107 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 8.4364338629828610000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6510000000000384 " " y[1] (analytic) = -1.026200928985232 " " y[1] (numeric) = -1.0262009289852232 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 8.6550147696553770000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6500000000000385 " " y[1] (analytic) = -1.025932411343363 " " y[1] (numeric) = -1.0259324113433543 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 8.4408480483983330000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.929378138157518 " " Order of pole = 1.29674049276218280000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6490000000000387 " " y[1] (analytic) = -1.0256636555547871 " " y[1] (numeric) = -1.0256636555547782 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 8.6595485263607650000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9285230099743054 " " Order of pole = 6.6968652845389440000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6480000000000388 " " y[1] (analytic) = -1.0253946613414229 " " y[1] (numeric) = -1.025394661341414 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 8.6618202062629120000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6470000000000389 " " y[1] (analytic) = -1.0251254284248341 " " y[1] (numeric) = -1.025125428424825 " " absolute error = 9.103828801926284000000000000000E-15 " " relative error = 8.8806974732007730000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.646000000000039 " " y[1] (analytic) = -1.024855956526228 " " y[1] (numeric) = -1.024855956526219 " " absolute error = 9.103828801926284000000000000000E-15 " " relative error = 8.8830325315021950000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9259584626881736 " " Order of pole = 1.8651746813702630000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.645000000000039 " " y[1] (analytic) = -1.0245862453664558 " " y[1] (numeric) = -1.024586245366447 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 8.6686545297361220000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9251038933003455 " " Order of pole = 5.506706202140776000000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6440000000000392 " " y[1] (analytic) = -1.0243162946660123 " " y[1] (numeric) = -1.0243162946660034 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 8.6709390871276140000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9242494640769052 " " Order of pole = 3.7658764995285310000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6430000000000393 " " y[1] (analytic) = -1.024046104145035 " " y[1] (numeric) = -1.024046104145026 " " absolute error = 9.103828801926284000000000000000E-15 " " relative error = 8.8900575521714140000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6420000000000394 " " y[1] (analytic) = -1.0237756735233037 " " y[1] (numeric) = -1.0237756735232946 " " absolute error = 9.103828801926284000000000000000E-15 " " relative error = 8.8924058632841290000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9225410268704624 " " Order of pole = 5.329070518200751000000000000000E-15 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6410000000000395 " " y[1] (analytic) = -1.0235050025202406 " " y[1] (numeric) = -1.0235050025202315 " " absolute error = 9.103828801926284000000000000000E-15 " " relative error = 8.8947575043691570000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6400000000000396 " " y[1] (analytic) = -1.0232340908549098 " " y[1] (numeric) = -1.0232340908549007 " " absolute error = 9.103828801926284000000000000000E-15 " " relative error = 8.8971124821692120000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9208331525669473 " " Order of pole = 4.3698378249246160000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6390000000000398 " " y[1] (analytic) = -1.022962938246017 " " y[1] (numeric) = -1.022962938246008 " " absolute error = 9.103828801926284000000000000000E-15 " " relative error = 8.8994708034445560000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9199794269731583 " " Order of pole = 1.36779476633819290000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6380000000000399 " " y[1] (analytic) = -1.0226915444119091 " " y[1] (numeric) = -1.0226915444119 " " absolute error = 9.103828801926284000000000000000E-15 " " relative error = 8.9018324749730580000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9191258426690503 " " Order of pole = 1.77635683940025050000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.63700000000004 " " y[1] (analytic) = -1.0224199090705737 " " y[1] (numeric) = -1.0224199090705646 " " absolute error = 9.103828801926284000000000000000E-15 " " relative error = 8.9041975035502570000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.918272399843186 " " Order of pole = 1.776356839400250500000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.63600000000004 " " y[1] (analytic) = -1.0221480319396385 " " y[1] (numeric) = -1.0221480319396294 " " absolute error = 9.103828801926284000000000000000E-15 " " relative error = 8.9065658959894150000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9174190986845379 " " Order of pole = 2.77111666946439100000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6350000000000402 " " y[1] (analytic) = -1.021875912736372 " " y[1] (numeric) = -1.0218759127363626 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 9.1262288215391620000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6340000000000403 " " y[1] (analytic) = -1.021603551177681 " " y[1] (numeric) = -1.021603551177672 " " absolute error = 9.103828801926284000000000000000E-15 " " relative error = 8.9113127997955750000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6330000000000404 " " y[1] (analytic) = -1.0213309469801137 " " y[1] (numeric) = -1.0213309469801046 " " absolute error = 9.103828801926284000000000000000E-15 " " relative error = 8.9136913248782070000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6320000000000405 " " y[1] (analytic) = -1.0210580998598555 " " y[1] (numeric) = -1.0210580998598464 " " absolute error = 9.103828801926284000000000000000E-15 " " relative error = 8.9160732412541680000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9140073145106393 " " Order of pole = 2.8599345114344030000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6310000000000406 " " y[1] (analytic) = -1.0207850095327315 " " y[1] (numeric) = -1.0207850095327222 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 9.135981935236561000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9131547245323086 " " Order of pole = 4.7961634663806760000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6300000000000407 " " y[1] (analytic) = -1.0205116757142045 " " y[1] (numeric) = -1.020511675714195 " " absolute error = 9.547918011776346000000000000000E-15 " " relative error = 9.3560105572474130000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.912302277361027 " " Order of pole = 1.15463194561016280000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6290000000000409 " " y[1] (analytic) = -1.020238098119375 " " y[1] (numeric) = -1.0202380981193657 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 9.1408793928024070000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.628000000000041 " " y[1] (analytic) = -1.0199642764629822 " " y[1] (numeric) = -1.0199642764629726 " " absolute error = 9.547918011776346000000000000000E-15 " " relative error = 9.3610317852371080000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9105978122043916 " " Order of pole = 2.1493917756743030000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.627000000000041 " " y[1] (analytic) = -1.019690210459401 " " y[1] (numeric) = -1.0196902104593915 " " absolute error = 9.547918011776346000000000000000E-15 " " relative error = 9.3635477852383450000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6260000000000412 " " y[1] (analytic) = -1.0194158998226444 " " y[1] (numeric) = -1.0194158998226348 " " absolute error = 9.547918011776346000000000000000E-15 " " relative error = 9.3660673856837740000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9088939205729112 " " Order of pole = 2.52242671194835570000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6250000000000413 " " y[1] (analytic) = -1.019141344266361 " " y[1] (numeric) = -1.0191413442663515 " " absolute error = 9.547918011776346000000000000000E-15 " " relative error = 9.368590593927391000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9080421903092704 " " Order of pole = 1.8651746813702630000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6240000000000414 " " y[1] (analytic) = -1.0188665435038362 " " y[1] (numeric) = -1.0188665435038267 " " absolute error = 9.547918011776346000000000000000E-15 " " relative error = 9.3711174173424970000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9071906040037425 " " Order of pole = 6.92779167366097700000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6230000000000415 " " y[1] (analytic) = -1.0185914972479906 " " y[1] (numeric) = -1.018591497247981 " " absolute error = 9.547918011776346000000000000000E-15 " " relative error = 9.3736478633217680000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9063391618493382 " " Order of pole = 8.864020628607250000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6220000000000416 " " y[1] (analytic) = -1.0183162052113803 " " y[1] (numeric) = -1.018316205211371 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 9.1581311965034140000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9054878640390844 " " Order of pole = 2.8599345114344030000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6210000000000417 " " y[1] (analytic) = -1.0180406671061974 " " y[1] (numeric) = -1.018040667106188 " " absolute error = 9.547918011776346000000000000000E-15 " " relative error = 9.3787196526407040000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9046367107667483 " " Order of pole = 7.1942451995710140000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6200000000000419 " " y[1] (analytic) = -1.0177648826442676 " " y[1] (numeric) = -1.0177648826442578 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 9.5994298715808680000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.619000000000042 " " y[1] (analytic) = -1.0174888515370513 " " y[1] (numeric) = -1.0174888515370413 " " absolute error = 9.992007221626409000000000000000E-15 " " relative error = 9.8202621154346440000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9029348386112142 " " Order of pole = 4.5652370772586437000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.618000000000042 " " y[1] (analytic) = -1.0172125734956423 " " y[1] (numeric) = -1.0172125734956325 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 9.604642010201451000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9020841201167644 " " Order of pole = 6.7146288529329470000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6170000000000422 " " y[1] (analytic) = -1.016936048230769 " " y[1] (numeric) = -1.0169360482307597 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 9.1705603543862520000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.9012335469374309 " " Order of pole = 4.38760139331861860000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6160000000000423 " " y[1] (analytic) = -1.0166592754527939 " " y[1] (numeric) = -1.0166592754527841 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 9.6098691593111040000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6150000000000424 " " y[1] (analytic) = -1.01638225487171 " " y[1] (numeric) = -1.0163822548717003 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 9.6124883820748750000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8995328373050426 " " Order of pole = 2.131628207280300600000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6140000000000425 " " y[1] (analytic) = -1.0161049861971447 " " y[1] (numeric) = -1.016104986197135 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 9.6151113806322850000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.898682701243191 " " Order of pole = 1.421085471520200400000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6130000000000426 " " y[1] (analytic) = -1.015827469138357 " " y[1] (numeric) = -1.0158274691383473 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 9.6177381627496580000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8978327112788895 " " Order of pole = 1.26121335597417780000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6120000000000427 " " y[1] (analytic) = -1.0155497034042384 " " y[1] (numeric) = -1.0155497034042285 " " absolute error = 9.992007221626409000000000000000E-15 " " relative error = 9.8390134802187030000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8969828676085163 " " Order of pole = 2.7533531010703880000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6110000000000428 " " y[1] (analytic) = -1.015271688703311 " " y[1] (numeric) = -1.015271688703301 " " absolute error = 9.992007221626409000000000000000E-15 " " relative error = 9.8417077249421210000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.610000000000043 " " y[1] (analytic) = -1.0149934247437291 " " y[1] (numeric) = -1.0149934247437191 " " absolute error = 9.992007221626409000000000000000E-15 " " relative error = 9.844405863170240000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.609000000000043 " " y[1] (analytic) = -1.014714911233277 " " y[1] (numeric) = -1.014714911233267 " " absolute error = 9.992007221626409000000000000000E-15 " " relative error = 9.847107902930291000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8944342163295815 " " Order of pole = 4.0500935938325710000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6080000000000432 " " y[1] (analytic) = -1.01443614787937 " " y[1] (numeric) = -1.01443614787936 " " absolute error = 9.992007221626409000000000000000E-15 " " relative error = 9.8498138522707620000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8935849598051253 " " Order of pole = 1.13686837721616030000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6070000000000433 " " y[1] (analytic) = -1.0141571343890534 " " y[1] (numeric) = -1.0141571343890432 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 1.0071468690800632000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6060000000000434 " " y[1] (analytic) = -1.0138778704690021 " " y[1] (numeric) = -1.0138778704689921 " " absolute error = 9.992007221626409000000000000000E-15 " " relative error = 9.8552375119937090000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6050000000000435 " " y[1] (analytic) = -1.013598355825521 " " y[1] (numeric) = -1.013598355825511 " " absolute error = 9.992007221626409000000000000000E-15 " " relative error = 9.8579552385801370000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8910380747092872 " " Order of pole = 2.09610107049229550000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6040000000000436 " " y[1] (analytic) = -1.0133185901645438 " " y[1] (numeric) = -1.0133185901645339 " " absolute error = 9.992007221626409000000000000000E-15 " " relative error = 9.860676907155030000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.890189408498612 " " Order of pole = 5.7021054544748040000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6030000000000437 " " y[1] (analytic) = -1.0130385731916332 " " y[1] (numeric) = -1.013038573191623 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 1.0082589248671464000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6020000000000438 " " y[1] (analytic) = -1.0127583046119792 " " y[1] (numeric) = -1.012758304611969 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 1.0085379482980174000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.888492520504164 " " Order of pole = 7.99360577730112700000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.601000000000044 " " y[1] (analytic) = -1.0124777841304013 " " y[1] (numeric) = -1.0124777841303914 " " absolute error = 9.992007221626409000000000000000E-15 " " relative error = 9.8688656464777260000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.600000000000044 " " y[1] (analytic) = -1.0121970114513463 " " y[1] (numeric) = -1.0121970114513363 " " absolute error = 9.992007221626409000000000000000E-15 " " relative error = 9.8716031647824110000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5990000000000442 " " y[1] (analytic) = -1.0119159862788885 " " y[1] (numeric) = -1.0119159862788782 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 1.0093774547540751000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8859483025789143 " " Order of pole = 4.31654711974260860000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5980000000000443 " " y[1] (analytic) = -1.0116347083167283 " " y[1] (numeric) = -1.011634708316718 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 1.0096581051026542000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5970000000000444 " " y[1] (analytic) = -1.011353177268194 " " y[1] (numeric) = -1.0113531772681839 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 1.0099391642928356000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8842529023462309 " " Order of pole = 1.5454304502782180000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5960000000000445 " " y[1] (analytic) = -1.0110713928362398 " " y[1] (numeric) = -1.0110713928362296 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 1.0102206331739998000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.883405426348825 " " Order of pole = 1.7230661342182430000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5950000000000446 " " y[1] (analytic) = -1.0107893547234459 " " y[1] (numeric) = -1.0107893547234355 " " absolute error = 1.043609643147647100000000000000E-14 " " relative error = 1.032469958523832000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8825581000330829 " " Order of pole = 7.81597009336110200000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5940000000000447 " " y[1] (analytic) = -1.0105070626320178 " " y[1] (numeric) = -1.0105070626320076 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 1.0107848034181378000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8817109236012195 " " Order of pole = 3.37507799486047600000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5930000000000448 " " y[1] (analytic) = -1.0102245162637873 " " y[1] (numeric) = -1.010224516263777 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 1.0110675064912375000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8808638972557843 " " Order of pole = 2.09610107049229550000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.592000000000045 " " y[1] (analytic) = -1.0099417153202104 " " y[1] (numeric) = -1.0099417153202002 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 1.0113506226755858000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.591000000000045 " " y[1] (analytic) = -1.0096586595023678 " " y[1] (numeric) = -1.0096586595023576 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 1.0116341528319737000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8791702956358776 " " Order of pole = 2.48689957516035070000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5900000000000452 " " y[1] (analytic) = -1.009375348510965 " " y[1] (numeric) = -1.0093753485109547 " " absolute error = 1.043609643147647100000000000000E-14 " " relative error = 1.0339163173413979000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5890000000000453 " " y[1] (analytic) = -1.009091782046331 " " y[1] (numeric) = -1.0090917820463206 " " absolute error = 1.043609643147647100000000000000E-14 " " relative error = 1.0342068597876375000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8774772968002054 " " Order of pole = 1.7941204077942530000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5880000000000454 " " y[1] (analytic) = -1.0088079598084185 " " y[1] (numeric) = -1.008807959808408 " " absolute error = 1.043609643147647100000000000000E-14 " " relative error = 1.0344978278579778000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8766310239363244 " " Order of pole = 4.2987835513486060000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5870000000000455 " " y[1] (analytic) = -1.0085238814968043 " " y[1] (numeric) = -1.0085238814967936 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 1.0568060144082246000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5860000000000456 " " y[1] (analytic) = -1.0082395468106866 " " y[1] (numeric) = -1.008239546810676 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 1.0571040453745206000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8749389323389258 " " Order of pole = 2.41584530158434060000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5850000000000457 " " y[1] (analytic) = -1.0079549554488878 " " y[1] (numeric) = -1.0079549554488771 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 1.0574025137517135000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8740931140154644 " " Order of pole = 1.08357767203415280000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5840000000000458 " " y[1] (analytic) = -1.0076701071098517 " " y[1] (numeric) = -1.007670107109841 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 1.057701420455018000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8732474476161136 " " Order of pole = 4.10338429901457860000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.583000000000046 " " y[1] (analytic) = -1.0073850014916443 " " y[1] (numeric) = -1.0073850014916337 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 1.0580007664021097000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.582000000000046 " " y[1] (analytic) = -1.0070996382919535 " " y[1] (numeric) = -1.0070996382919428 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 1.0583005525131325000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8715565714132838 " " Order of pole = 2.7178259642823830000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5810000000000461 " " y[1] (analytic) = -1.006814017208088 " " y[1] (numeric) = -1.0068140172080773 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 1.0586007797107061000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8707113620225195 " " Order of pole = 2.309263891220325600000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5800000000000463 " " y[1] (analytic) = -1.0065281379369782 " " y[1] (numeric) = -1.0065281379369673 " " absolute error = 1.088018564132653400000000000000E-14 " " relative error = 1.0809618957724336000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5790000000000464 " " y[1] (analytic) = -1.006242000175174 " " y[1] (numeric) = -1.006242000175163 " " absolute error = 1.088018564132653400000000000000E-14 " " relative error = 1.0812692810906752000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8690214016967042 " " Order of pole = 4.49418280368263370000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5780000000000465 " " y[1] (analytic) = -1.0059556036188466 " " y[1] (numeric) = -1.0059556036188357 " " absolute error = 1.088018564132653400000000000000E-14 " " relative error = 1.0815771195255452000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.868176651176294 " " Order of pole = 3.5171865420124960000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5770000000000466 " " y[1] (analytic) = -1.005668947963787 " " y[1] (numeric) = -1.0056689479637761 " " absolute error = 1.088018564132653400000000000000E-14 " " relative error = 1.0818854120290804000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5760000000000467 " " y[1] (analytic) = -1.0053820329054057 " " y[1] (numeric) = -1.0053820329053946 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 1.104279754648863000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5750000000000468 " " y[1] (analytic) = -1.0050948581387322 " " y[1] (numeric) = -1.0050948581387211 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 1.1045952684317817000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8656433206806455 " " Order of pole = 4.0500935938325710000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.574000000000047 " " y[1] (analytic) = -1.0048074233584159 " " y[1] (numeric) = -1.0048074233584046 " " absolute error = 1.132427485117659700000000000000E-14 " " relative error = 1.1270094734498409000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.573000000000047 " " y[1] (analytic) = -1.0045197282587235 " " y[1] (numeric) = -1.0045197282587124 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 1.1052276957762329000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5720000000000471 " " y[1] (analytic) = -1.0042317725335415 " " y[1] (numeric) = -1.0042317725335304 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 1.1055446113044336000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5710000000000472 " " y[1] (analytic) = -1.0039435558763734 " " y[1] (numeric) = -1.0039435558763623 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 1.105861996052167000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8622677036345299 " " Order of pole = 1.9007018181582680000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5700000000000474 " " y[1] (analytic) = -1.0036550779803408 " " y[1] (numeric) = -1.0036550779803297 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 1.1061798510094353000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5690000000000475 " " y[1] (analytic) = -1.0033663385381826 " " y[1] (numeric) = -1.0033663385381715 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 1.106498177168924000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.860580823291528 " " Order of pole = 6.92779167366097700000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5680000000000476 " " y[1] (analytic) = -1.0030773372422548 " " y[1] (numeric) = -1.0030773372422435 " " absolute error = 1.132427485117659700000000000000E-14 " " relative error = 1.1289533150365308000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8597376159018404 " " Order of pole = 2.7888802378583930000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5670000000000477 " " y[1] (analytic) = -1.0027880737845298 " " y[1] (numeric) = -1.0027880737845185 " " absolute error = 1.132427485117659700000000000000E-14 " " relative error = 1.1292789720203489000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5660000000000478 " " y[1] (analytic) = -1.0024985478565966 " " y[1] (numeric) = -1.0024985478565855 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 1.1074559928280012000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.565000000000048 " " y[1] (analytic) = -1.002208759149661 " " y[1] (numeric) = -1.0022087591496496 " " absolute error = 1.132427485117659700000000000000E-14 " " relative error = 1.1299317380527435000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8572089273962162 " " Order of pole = 1.29674049276218280000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.564000000000048 " " y[1] (analytic) = -1.001918707354543 " " y[1] (numeric) = -1.0019187073545315 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 1.152420787369908000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.856366343155406 " " Order of pole = 5.68434188608080100000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5630000000000481 " " y[1] (analytic) = -1.001628392161679 " " y[1] (numeric) = -1.0016283921616675 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 1.152754808715312900000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5620000000000482 " " y[1] (analytic) = -1.0013378132611208 " " y[1] (numeric) = -1.0013378132611093 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 1.1530893274166878000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8546816438408467 " " Order of pole = 9.94759830064140300000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5610000000000483 " " y[1] (analytic) = -1.0010469703425344 " " y[1] (numeric) = -1.0010469703425229 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 1.1534243445290836000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8538395291934502 " " Order of pole = 9.05941988094127700000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5600000000000485 " " y[1] (analytic) = -1.0007558630952005 " " y[1] (numeric) = -1.0007558630951887 " " absolute error = 1.17683640610266600000000000000E-14 " " relative error = 1.1759475507471646000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5590000000000486 " " y[1] (analytic) = -1.0004644912080134 " " y[1] (numeric) = -1.0004644912080018 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 1.1540958782215244000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5580000000000487 " " y[1] (analytic) = -1.0001728543694828 " " y[1] (numeric) = -1.0001728543694708 " " absolute error = 1.19904086659516900000000000000E-14 " " relative error = 1.1988336429617003000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8513141278562566 " " Order of pole = 1.7763568394002505000000000000000E-15 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5570000000000488 " " y[1] (analytic) = -0.9998809522677297 " " y[1] (numeric) = -0.9998809522677179 " " absolute error = 1.17683640610266600000000000000E-14 " " relative error = 1.1769765224886036000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.556000000000049 " " y[1] (analytic) = -0.9995887845904904 " " y[1] (numeric) = -0.9995887845904785 " " absolute error = 1.187938636348917500000000000000E-14 " " relative error = 1.188427335982556000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8496313146138659 " " Order of pole = 1.29674049276218280000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.555000000000049 " " y[1] (analytic) = -0.9992963510251128 " " y[1] (numeric) = -0.9992963510251008 " " absolute error = 1.19904086659516900000000000000E-14 " " relative error = 1.1998851645611948000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.848790144932671 " " Order of pole = 2.664535259100375700000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5540000000000491 " " y[1] (analytic) = -0.9990036512585577 " " y[1] (numeric) = -0.9990036512585458 " " absolute error = 1.187938636348917500000000000000E-14 " " relative error = 1.1891234179698312000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5530000000000492 " " y[1] (analytic) = -0.9987106849773988 " " y[1] (numeric) = -0.9987106849773866 " " absolute error = 1.221245327087672200000000000000E-14 " " relative error = 1.222821929771693000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8471082805293793 " " Order of pole = 1.04805053524614780000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5520000000000493 " " y[1] (analytic) = -0.9984174518678203 " " y[1] (numeric) = -0.9984174518678083 " " absolute error = 1.19904086659516900000000000000E-14 " " relative error = 1.2009414141870481000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8462675862399234 " " Order of pole = 4.08562073062057600000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5510000000000495 " " y[1] (analytic) = -0.9981239516156195 " " y[1] (numeric) = -0.9981239516156076 " " absolute error = 1.187938636348917500000000000000E-14 " " relative error = 1.190171455585304100000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5500000000000496 " " y[1] (analytic) = -0.9978301839062049 " " y[1] (numeric) = -0.9978301839061928 " " absolute error = 1.210143096841420600000000000000E-14 " " relative error = 1.2127745946750924000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5490000000000497 " " y[1] (analytic) = -0.9975361484245951 " " y[1] (numeric) = -0.9975361484245829 " " absolute error = 1.221245327087672200000000000000E-14 " " relative error = 1.224261726270652000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5480000000000498 " " y[1] (analytic) = -0.9972418448554202 " " y[1] (numeric) = -0.9972418448554079 " " absolute error = 1.232347557333923800000000000000E-14 " " relative error = 1.235755964003485000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8429064002276807 " " Order of pole = 1.7763568394002505000000000000000E-15 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.54700000000005 " " y[1] (analytic) = -0.9969472728829204 " " y[1] (numeric) = -0.9969472728829081 " " absolute error = 1.232347557333923800000000000000E-14 " " relative error = 1.236121097728955100000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8420665025997705 " " Order of pole = 1.953992523340275500000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.54600000000005 " " y[1] (analytic) = -0.9966524321909462 " " y[1] (numeric) = -0.9966524321909338 " " absolute error = 1.243449787580175300000000000000E-14 " " relative error = 1.2476263012238813000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8412267649586669 " " Order of pole = 4.61852778244065100000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5450000000000501 " " y[1] (analytic) = -0.9963573224629576 " " y[1] (numeric) = -0.9963573224629453 " " absolute error = 1.232347557333923800000000000000E-14 " " relative error = 1.2368530140247348000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5440000000000502 " " y[1] (analytic) = -0.9960619433820245 " " y[1] (numeric) = -0.9960619433820123 " " absolute error = 1.221245327087672200000000000000E-14 " " relative error = 1.2260736746361987000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5430000000000503 " " y[1] (analytic) = -0.9957662946308262 " " y[1] (numeric) = -0.9957662946308138 " " absolute error = 1.243449787580175300000000000000E-14 " " relative error = 1.248736570302549000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.838708514147951 " " Order of pole = 3.55271367880050100000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5420000000000504 " " y[1] (analytic) = -0.9954703758916499 " " y[1] (numeric) = -0.9954703758916376 " " absolute error = 1.232347557333923800000000000000E-14 " " relative error = 1.2379550282750516000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5410000000000506 " " y[1] (analytic) = -0.9951741868463927 " " y[1] (numeric) = -0.99517418684638 " " absolute error = 1.265654248072678500000000000000E-14 " " relative error = 1.2717916770765628000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8370304842326857 " " Order of pole = 3.37507799486047600000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5400000000000507 " " y[1] (analytic) = -0.9948777271765585 " " y[1] (numeric) = -0.994877727176546 " " absolute error = 1.254552017826427000000000000000E-14 " " relative error = 1.2610112615414745000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5390000000000508 " " y[1] (analytic) = -0.9945809965632608 " " y[1] (numeric) = -0.9945809965632483 " " absolute error = 1.254552017826427000000000000000E-14 " " relative error = 1.2613874809205955000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5380000000000509 " " y[1] (analytic) = -0.9942839946872197 " " y[1] (numeric) = -0.9942839946872072 " " absolute error = 1.254552017826427000000000000000E-14 " " relative error = 1.2617642690920333000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.537000000000051 " " y[1] (analytic) = -0.9939867212287633 " " y[1] (numeric) = -0.9939867212287506 " " absolute error = 1.265654248072678500000000000000E-14 " " relative error = 1.273311022211726000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.536000000000051 " " y[1] (analytic) = -0.9936891758678261 " " y[1] (numeric) = -0.9936891758678136 " " absolute error = 1.254552017826427000000000000000E-14 " " relative error = 1.262519556712268000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5350000000000512 " " y[1] (analytic) = -0.9933913582839505 " " y[1] (numeric) = -0.9933913582839378 " " absolute error = 1.2767564783189300000000000000E-14 " " relative error = 1.2852502366484073000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5340000000000513 " " y[1] (analytic) = -0.993093268156284 " " y[1] (numeric) = -0.9930932681562715 " " absolute error = 1.243449787580175300000000000000E-14 " " relative error = 1.252097690571086000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8311624723110078 " " Order of pole = 3.19744231092045100000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5330000000000514 " " y[1] (analytic) = -0.9927949051635819 " " y[1] (numeric) = -0.9927949051635694 " " absolute error = 1.254552017826427000000000000000E-14 " " relative error = 1.2636567848016056000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8303248345581051 " " Order of pole = 5.329070518200751000000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5320000000000515 " " y[1] (analytic) = -0.9924962689842043 " " y[1] (numeric) = -0.9924962689841917 " " absolute error = 1.254552017826427000000000000000E-14 " " relative error = 1.264037011555147000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8294873598907877 " " Order of pole = 1.421085471520200400000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5310000000000517 " " y[1] (analytic) = -0.9921973592961174 " " y[1] (numeric) = -0.9921973592961048 " " absolute error = 1.265654248072678500000000000000E-14 " " relative error = 1.275607353934661000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.828650048533117 " " Order of pole = 3.55271367880050100000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5300000000000518 " " y[1] (analytic) = -0.9918981757768925 " " y[1] (numeric) = -0.9918981757768798 " " absolute error = 1.2767564783189300000000000000E-14 " " relative error = 1.2871850251351916000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.827812900709527 " " Order of pole = 3.55271367880050100000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5290000000000519 " " y[1] (analytic) = -0.991598718103706 " " y[1] (numeric) = -0.9915987181036934 " " absolute error = 1.265654248072678500000000000000E-14 " " relative error = 1.2763774548771759000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.528000000000052 " " y[1] (analytic) = -0.9912989859533398 " " y[1] (numeric) = -0.9912989859533269 " " absolute error = 1.287858708565181600000000000000E-14 " " relative error = 1.2991627418307486000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8261390965641613 " " Order of pole = 2.131628207280300600000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.527000000000052 " " y[1] (analytic) = -0.9909989790021789 " " y[1] (numeric) = -0.990998979002166 " " absolute error = 1.287858708565181600000000000000E-14 " " relative error = 1.2995560397669695000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5260000000000522 " " y[1] (analytic) = -0.9906986969262138 " " y[1] (numeric) = -0.9906986969262008 " " absolute error = 1.298960938811433200000000000000E-14 " " relative error = 1.311156401882477000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5250000000000523 " " y[1] (analytic) = -0.990398139401038 " " y[1] (numeric) = -0.9903981394010252 " " absolute error = 1.287858708565181600000000000000E-14 " " relative error = 1.3003444345564283000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5240000000000524 " " y[1] (analytic) = -0.9900973061018495 " " y[1] (numeric) = -0.9900973061018365 " " absolute error = 1.298960938811433200000000000000E-14 " " relative error = 1.3119528058566512000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5230000000000525 " " y[1] (analytic) = -0.9897961967034488 " " y[1] (numeric) = -0.9897961967034358 " " absolute error = 1.298960938811433200000000000000E-14 " " relative error = 1.3123519196554487000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5220000000000526 " " y[1] (analytic) = -0.9894948108802397 " " y[1] (numeric) = -0.9894948108802268 " " absolute error = 1.287858708565181600000000000000E-14 " " relative error = 1.3015315435757785000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8211216324013582 " " Order of pole = 1.20792265079217030000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5210000000000528 " " y[1] (analytic) = -0.9891931483062296 " " y[1] (numeric) = -0.9891931483062165 " " absolute error = 1.310063169057684700000000000000E-14 " " relative error = 1.3243754986585507000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5200000000000529 " " y[1] (analytic) = -0.988891208655027 " " y[1] (numeric) = -0.988891208655014 " " absolute error = 1.298960938811433200000000000000E-14 " " relative error = 1.3135529241665790000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.519000000000053 " " y[1] (analytic) = -0.9885889915998438 " " y[1] (numeric) = -0.9885889915998307 " " absolute error = 1.310063169057684700000000000000E-14 " " relative error = 1.3251848646803116000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.518000000000053 " " y[1] (analytic) = -0.9882864968134931 " " y[1] (numeric) = -0.9882864968134801 " " absolute error = 1.298960938811433200000000000000E-14 " " relative error = 1.3143566597334272000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5170000000000532 " " y[1] (analytic) = -0.9879837239683902 " " y[1] (numeric) = -0.9879837239683773 " " absolute error = 1.287858708565181600000000000000E-14 " " relative error = 1.3035221910258774000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8169449633932713 " " Order of pole = 5.151434834260726000000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5160000000000533 " " y[1] (analytic) = -0.9876806727365518 " " y[1] (numeric) = -0.9876806727365387 " " absolute error = 1.310063169057684700000000000000E-14 " " relative error = 1.3264035687039544000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5150000000000534 " " y[1] (analytic) = -0.987377342789595 " " y[1] (numeric) = -0.9873773427895819 " " absolute error = 1.310063169057684700000000000000E-14 " " relative error = 1.3268110501264080000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5140000000000535 " " y[1] (analytic) = -0.9870737337987385 " " y[1] (numeric) = -0.9870737337987254 " " absolute error = 1.310063169057684700000000000000E-14 " " relative error = 1.3272191571909490000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5130000000000536 " " y[1] (analytic) = -0.9867698454348013 " " y[1] (numeric) = -0.9867698454347883 " " absolute error = 1.298960938811433200000000000000E-14 " " relative error = 1.3163768074399057000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8136066276897507 " " Order of pole = 1.08357767203415280000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5120000000000537 " " y[1] (analytic) = -0.9864656773682031 " " y[1] (numeric) = -0.9864656773681899 " " absolute error = 1.321165399303936300000000000000E-14 " " relative error = 1.3392918067141274000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5110000000000539 " " y[1] (analytic) = -0.9861612292689629 " " y[1] (numeric) = -0.9861612292689497 " " absolute error = 1.321165399303936300000000000000E-14 " " relative error = 1.3397052734300968000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.510000000000054 " " y[1] (analytic) = -0.9858565008067 " " y[1] (numeric) = -0.9858565008066867 " " absolute error = 1.321165399303936300000000000000E-14 " " relative error = 1.3401193766261743000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.509000000000054 " " y[1] (analytic) = -0.9855514916506329 " " y[1] (numeric) = -0.9855514916506197 " " absolute error = 1.321165399303936300000000000000E-14 " " relative error = 1.3405341176960794000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8102709741914824 " " Order of pole = 4.97379915032070130000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5080000000000542 " " y[1] (analytic) = -0.9852462014695801 " " y[1] (numeric) = -0.9852462014695665 " " absolute error = 1.35447209004269100000000000000E-14 " " relative error = 1.3747549475678045000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.809437481650076 " " Order of pole = 1.598721155460225400000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5070000000000543 " " y[1] (analytic) = -0.9849406299319576 " " y[1] (numeric) = -0.9849406299319442 " " absolute error = 1.343369859796439400000000000000E-14 " " relative error = 1.3639094773552420000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8086041579074659 " " Order of pole = 3.37507799486047600000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5060000000000544 " " y[1] (analytic) = -0.9846347767057816 " " y[1] (numeric) = -0.9846347767057683 " " absolute error = 1.332267629550187800000000000000E-14 " " relative error = 1.35305766266702000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.807771003197078 " " Order of pole = 4.26325641456060100000000000000E-14 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5050000000000545 " " y[1] (analytic) = -0.984328641458666 " " y[1] (numeric) = -0.9843286414586527 " " absolute error = 1.332267629550187800000000000000E-14 " " relative error = 1.353478476025969000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5040000000000546 " " y[1] (analytic) = -0.9840222238578233 " " y[1] (numeric) = -0.9840222238578099 " " absolute error = 1.343369859796439400000000000000E-14 " " relative error = 1.3651824392032600000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.8061052018086303 " " Order of pole = 1.33226762955018780000000000000E-13 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5030000000000547 " " y[1] (analytic) = -0.9837155235700633 " " y[1] (numeric) = -0.9837155235700499 " " absolute error = 1.343369859796439400000000000000E-14 " " relative error = 1.3656080722617167000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5020000000000548 " " y[1] (analytic) = -0.9834085402617941 " " y[1] (numeric) = -0.9834085402617806 " " absolute error = 1.35447209004269100000000000000E-14 " " relative error = 1.3773239041447777000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.501000000000055 " " y[1] (analytic) = -0.9831012735990207 " " y[1] (numeric) = -0.9831012735990073 " " absolute error = 1.332267629550187800000000000000E-14 " " relative error = 1.3551682469832527000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1.803607773325504 " " Order of pole = 7.28306304154102700000000000000E-14 " " "Finished!" "Maximum Time Reached before Solution Completed!" "diff ( y , x , 1 ) = 1.0/ (x * x + 1.0) ;" Iterations = 500 "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 "Time to Timeout " Unknown Percent Done = 100.19999999998896 "%" (%o58) true (%o58) diffeq.max