(%i1) batch(diffeq.max) read and interpret file: /home/dennis/mastersource/mine/omnisode/diffeq.max (%i2) load(stringproc) (%o2) /usr/local/share/maxima/5.26.0/share/contrib/stringproc/stringproc.mac (%i3) display_alot(iter) := if iter >= 0 then (ind_var : array_x , omniout_float(ALWAYS, 1 "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 : abs(numeric_val - analytic_val_y), omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, abserr 100.0 20, " "), if abs(analytic_val_y) # 0.0 then relerr : ------------------- abs(analytic_val_y) else relerr : - 1.0, 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_float(ALWAYS, "h ", 4, glob_h, 20, " ")) (%o3) display_alot(iter) := if iter >= 0 then (ind_var : array_x , omniout_float(ALWAYS, 1 "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 : abs(numeric_val - analytic_val_y), omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, abserr 100.0 20, " "), if abs(analytic_val_y) # 0.0 then relerr : ------------------- abs(analytic_val_y) else relerr : - 1.0, 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_float(ALWAYS, "h ", 4, glob_h, 20, " ")) (%i4) adjust_for_pole(h_param) := block(hnew : h_param, glob_normmax : glob_small_float, if !array_y_higher ! > glob_small_float ! 1, 1! then (tmp : !array_y_higher !, if tmp < glob_normmax ! 1, 1! then glob_normmax : tmp), if glob_look_poles and (!array_pole ! > glob_small_float) and (array_pole # glob_large_float) ! 1! 1 array_pole 1 then (sz2 : -----------, if sz2 < hnew 10.0 then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."), omniout_str(INFO, "Reached Optimal"), newline(), 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) 1 (%o4) adjust_for_pole(h_param) := block(hnew : h_param, glob_normmax : glob_small_float, if !array_y_higher ! > glob_small_float ! 1, 1! then (tmp : !array_y_higher !, if tmp < glob_normmax ! 1, 1! then glob_normmax : tmp), if glob_look_poles and (!array_pole ! > glob_small_float) and (array_pole # glob_large_float) ! 1! 1 array_pole 1 then (sz2 : -----------, if sz2 < hnew 10.0 then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."), omniout_str(INFO, "Reached Optimal"), newline(), 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) 1 (%i5) prog_report(x_start, x_end) := (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)), 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, "Time to Timeout "), omniout_timestr(convfloat(left_sec)), omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%")) (%o5) prog_report(x_start, x_end) := (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)), 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, "Time to Timeout "), omniout_timestr(convfloat(left_sec)), omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%")) (%i6) check_for_pole() := (n : glob_max_terms, m : - 1 - 3 + n, while (m >= 10) and ((!array_y_higher ! < glob_small_float) ! 1, m! or (!array_y_higher ! < glob_small_float) ! 1, m - 1! or (!array_y_higher ! < glob_small_float)) do m : m - 1, ! 1, m - 2! array_y_higher array_y_higher 1, m 1, m - 1 if m > 10 then (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 hdrc : convfloat(m - 1) rm0 - convfloat(m - 2) rm1, glob_h if abs(hdrc) > glob_small_float then (rcs : ------, hdrc convfloat(m - 1) rm0 ord_no : 2.0 - convfloat(m) + --------------------, array_real_pole : rcs, hdrc 1, 1 array_real_pole : ord_no) else (array_real_pole : glob_large_float, 1, 2 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 - 3 + glob_max_terms, 1, 2 cnt : 0, while (cnt < 5) and (n >= 10) do (if !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 (array_complex_pole : glob_large_float, 1, 1 array_complex_pole : glob_large_float) 1, 2 elseif (!array_y_higher ! >= glob_large_float) ! 1, m! or (!array_y_higher ! >= glob_large_float) ! 1, m - 1! or (!array_y_higher ! >= glob_large_float) ! 1, m - 2! or (!array_y_higher ! >= glob_large_float) ! 1, m - 3! or (!array_y_higher ! >= glob_large_float) ! 1, m - 4! or (!array_y_higher ! >= glob_large_float) ! 1, m - 5! then (array_complex_pole : glob_large_float, 1, 1 array_complex_pole : glob_large_float) 1, 2 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 (abs(nr1 dr2 - nr2 dr1) <= glob_small_float) rm4 rm3 rm2 or (abs(dr1) <= glob_small_float) then (array_complex_pole : 1, 1 glob_large_float, array_complex_pole : glob_large_float) 1, 2 else (if abs(nr1 dr2 - nr2 dr1) > glob_small_float dr1 dr2 - ds2 dr1 + ds1 dr2 then (rcs : ---------------------------, nr1 dr2 - nr2 dr1 rcs nr1 - ds1 convfloat(m) ord_no : ------------- - ------------, 2.0 dr1 2.0 if abs(rcs) > glob_small_float then (if rcs > 0.0 then rad_c : sqrt(rcs) 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, 1, 1 array_complex_pole : ord_no), found : false, 1, 2 if (not found) 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 : true, array_type_pole : 2, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used")), if (not found) and ((array_real_pole # glob_large_float) and (array_real_pole # glob_large_float) 1, 1 1, 2 and (array_real_pole > 0.0) and (array_real_pole > 0.0) 1, 1 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 : true, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")), if (not found) 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 : true, array_type_pole : 3, if glob_display_flag 1 then omniout_str(ALWAYS, "NO POLE")), if (not found) and ((array_real_pole < array_complex_pole ) 1, 1 1, 1 and (array_real_pole > 0.0) and (array_real_pole > 1, 1 1, 2 0.0)) then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found : true, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")), if (not found) 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, found : true, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used")), if not found then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 array_type_pole : 3, if glob_display_flag 1 then omniout_str(ALWAYS, "NO POLE")), array_pole : glob_large_float, 1 array_pole : glob_large_float, if array_pole > array_poles 2 1 1, 1 then (array_pole : array_poles , array_pole : array_poles ), 1 1, 1 2 1, 2 display_pole()) (%o6) check_for_pole() := (n : glob_max_terms, m : - 1 - 3 + n, while (m >= 10) and ((!array_y_higher ! < glob_small_float) ! 1, m! or (!array_y_higher ! < glob_small_float) ! 1, m - 1! or (!array_y_higher ! < glob_small_float)) do m : m - 1, ! 1, m - 2! array_y_higher array_y_higher 1, m 1, m - 1 if m > 10 then (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 hdrc : convfloat(m - 1) rm0 - convfloat(m - 2) rm1, glob_h if abs(hdrc) > glob_small_float then (rcs : ------, hdrc convfloat(m - 1) rm0 ord_no : 2.0 - convfloat(m) + --------------------, array_real_pole : rcs, hdrc 1, 1 array_real_pole : ord_no) else (array_real_pole : glob_large_float, 1, 2 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 - 3 + glob_max_terms, 1, 2 cnt : 0, while (cnt < 5) and (n >= 10) do (if !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 (array_complex_pole : glob_large_float, 1, 1 array_complex_pole : glob_large_float) 1, 2 elseif (!array_y_higher ! >= glob_large_float) ! 1, m! or (!array_y_higher ! >= glob_large_float) ! 1, m - 1! or (!array_y_higher ! >= glob_large_float) ! 1, m - 2! or (!array_y_higher ! >= glob_large_float) ! 1, m - 3! or (!array_y_higher ! >= glob_large_float) ! 1, m - 4! or (!array_y_higher ! >= glob_large_float) ! 1, m - 5! then (array_complex_pole : glob_large_float, 1, 1 array_complex_pole : glob_large_float) 1, 2 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 (abs(nr1 dr2 - nr2 dr1) <= glob_small_float) rm4 rm3 rm2 or (abs(dr1) <= glob_small_float) then (array_complex_pole : 1, 1 glob_large_float, array_complex_pole : glob_large_float) 1, 2 else (if abs(nr1 dr2 - nr2 dr1) > glob_small_float dr1 dr2 - ds2 dr1 + ds1 dr2 then (rcs : ---------------------------, nr1 dr2 - nr2 dr1 rcs nr1 - ds1 convfloat(m) ord_no : ------------- - ------------, 2.0 dr1 2.0 if abs(rcs) > glob_small_float then (if rcs > 0.0 then rad_c : sqrt(rcs) 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, 1, 1 array_complex_pole : ord_no), found : false, 1, 2 if (not found) 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 : true, array_type_pole : 2, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used")), if (not found) and ((array_real_pole # glob_large_float) and (array_real_pole # glob_large_float) 1, 1 1, 2 and (array_real_pole > 0.0) and (array_real_pole > 0.0) 1, 1 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 : true, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")), if (not found) 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 : true, array_type_pole : 3, if glob_display_flag 1 then omniout_str(ALWAYS, "NO POLE")), if (not found) and ((array_real_pole < array_complex_pole ) 1, 1 1, 1 and (array_real_pole > 0.0) and (array_real_pole > 1, 1 1, 2 0.0)) then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found : true, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")), if (not found) 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, found : true, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used")), if not found then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 array_type_pole : 3, if glob_display_flag 1 then omniout_str(ALWAYS, "NO POLE")), array_pole : glob_large_float, 1 array_pole : glob_large_float, if array_pole > array_poles 2 1 1, 1 then (array_pole : array_poles , array_pole : array_poles ), 1 1, 1 2 1, 2 display_pole()) (%i7) get_norms() := if not glob_initial_pass then (set_z(array_norms, 1 + glob_max_terms), iii : 1, while iii <= glob_max_terms do (if !array_y ! > array_norms ! iii! iii then array_norms : !array_y !, iii : 1 + iii)) iii ! iii! (%o7) get_norms() := if not glob_initial_pass then (set_z(array_norms, 1 + glob_max_terms), iii : 1, while iii <= glob_max_terms do (if !array_y ! > array_norms ! iii! iii then array_norms : !array_y !, iii : 1 + iii)) iii ! iii! (%i8) atomall() := (array_tmp1 : sin(array_x ), 1 1 array_tmp1_g : cos(array_x ), array_tmp2 : array_tmp1 + array_const_0D0 , 1 1 1 1 1 if not array_y_set_initial then (if 1 <= glob_max_terms 1, 4 3 then (temporary : array_tmp2 glob_h factorial_3(0, 3), 1 array_y : temporary, array_y_higher : temporary, 4 1, 4 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 3 temporary 3.0 temporary : -------------, array_y_higher : temporary, glob_h 3, 2 temporary 4.0 temporary : -------------, array_y_higher : temporary)), kkk : 2, glob_h 4, 1 array_tmp1 : att(1, array_tmp1_g, array_x, 1), 2 array_tmp1_g : - att(1, array_tmp1, array_x, 1), 2 array_tmp2 : array_tmp1 + array_const_0D0 , 2 2 2 if not array_y_set_initial then (if 2 <= glob_max_terms 1, 5 3 then (temporary : array_tmp2 glob_h factorial_3(1, 4), 2 array_y : temporary, array_y_higher : temporary, 5 1, 5 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 4 temporary 3.0 temporary : -------------, array_y_higher : temporary, glob_h 3, 3 temporary 4.0 temporary : -------------, array_y_higher : temporary)), kkk : 3, glob_h 4, 2 array_tmp1 : att(2, array_tmp1_g, array_x, 1), 3 array_tmp1_g : - att(2, array_tmp1, array_x, 1), 3 array_tmp2 : array_tmp1 + array_const_0D0 , 3 3 3 if not array_y_set_initial then (if 3 <= glob_max_terms 1, 6 3 then (temporary : array_tmp2 glob_h factorial_3(2, 5), 3 array_y : temporary, array_y_higher : temporary, 6 1, 6 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 5 temporary 3.0 temporary : -------------, array_y_higher : temporary, glob_h 3, 4 temporary 4.0 temporary : -------------, array_y_higher : temporary)), kkk : 4, glob_h 4, 3 array_tmp1 : att(3, array_tmp1_g, array_x, 1), 4 array_tmp1_g : - att(3, array_tmp1, array_x, 1), 4 array_tmp2 : array_tmp1 + array_const_0D0 , 4 4 4 if not array_y_set_initial then (if 4 <= glob_max_terms 1, 7 3 then (temporary : array_tmp2 glob_h factorial_3(3, 6), 4 array_y : temporary, array_y_higher : temporary, 7 1, 7 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 6 temporary 3.0 temporary : -------------, array_y_higher : temporary, glob_h 3, 5 temporary 4.0 temporary : -------------, array_y_higher : temporary)), kkk : 5, glob_h 4, 4 array_tmp1 : att(4, array_tmp1_g, array_x, 1), 5 array_tmp1_g : - att(4, array_tmp1, array_x, 1), 5 array_tmp2 : array_tmp1 + array_const_0D0 , 5 5 5 if not array_y_set_initial then (if 5 <= glob_max_terms 1, 8 3 then (temporary : array_tmp2 glob_h factorial_3(4, 7), 5 array_y : temporary, array_y_higher : temporary, 8 1, 8 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 7 temporary 3.0 temporary : -------------, array_y_higher : temporary, glob_h 3, 6 temporary 4.0 temporary : -------------, array_y_higher : temporary)), kkk : 6, glob_h 4, 5 while kkk <= glob_max_terms do (array_tmp1 : kkk att(kkk - 1, array_tmp1_g, array_x, 1), array_tmp1_g : - att(kkk - 1, array_tmp1, array_x, 1), kkk array_tmp2 : array_tmp1 + array_const_0D0 , order_d : 3, kkk kkk kkk if 1 + order_d + kkk <= glob_max_terms then (if not array_y_set_initial 1, order_d + kkk order_d array_tmp2 glob_h kkk then (temporary : -----------------------------------------, factorial_3(kkk - 1, - 1 + order_d + kkk) array_y : temporary, array_y_higher : temporary, order_d + kkk 1, order_d + kkk term : - 1 + order_d + kkk, adj2 : 2, while (adj2 <= 1 + order_d) temporary convfp(adj2) and (term >= 1) do (temporary : ----------------------, glob_h array_y_higher : temporary, adj2 : 1 + adj2, term : term - 1))), adj2, term kkk : 1 + kkk)) (%o8) atomall() := (array_tmp1 : sin(array_x ), 1 1 array_tmp1_g : cos(array_x ), array_tmp2 : array_tmp1 + array_const_0D0 , 1 1 1 1 1 if not array_y_set_initial then (if 1 <= glob_max_terms 1, 4 3 then (temporary : array_tmp2 glob_h factorial_3(0, 3), 1 array_y : temporary, array_y_higher : temporary, 4 1, 4 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 3 temporary 3.0 temporary : -------------, array_y_higher : temporary, glob_h 3, 2 temporary 4.0 temporary : -------------, array_y_higher : temporary)), kkk : 2, glob_h 4, 1 array_tmp1 : att(1, array_tmp1_g, array_x, 1), 2 array_tmp1_g : - att(1, array_tmp1, array_x, 1), 2 array_tmp2 : array_tmp1 + array_const_0D0 , 2 2 2 if not array_y_set_initial then (if 2 <= glob_max_terms 1, 5 3 then (temporary : array_tmp2 glob_h factorial_3(1, 4), 2 array_y : temporary, array_y_higher : temporary, 5 1, 5 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 4 temporary 3.0 temporary : -------------, array_y_higher : temporary, glob_h 3, 3 temporary 4.0 temporary : -------------, array_y_higher : temporary)), kkk : 3, glob_h 4, 2 array_tmp1 : att(2, array_tmp1_g, array_x, 1), 3 array_tmp1_g : - att(2, array_tmp1, array_x, 1), 3 array_tmp2 : array_tmp1 + array_const_0D0 , 3 3 3 if not array_y_set_initial then (if 3 <= glob_max_terms 1, 6 3 then (temporary : array_tmp2 glob_h factorial_3(2, 5), 3 array_y : temporary, array_y_higher : temporary, 6 1, 6 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 5 temporary 3.0 temporary : -------------, array_y_higher : temporary, glob_h 3, 4 temporary 4.0 temporary : -------------, array_y_higher : temporary)), kkk : 4, glob_h 4, 3 array_tmp1 : att(3, array_tmp1_g, array_x, 1), 4 array_tmp1_g : - att(3, array_tmp1, array_x, 1), 4 array_tmp2 : array_tmp1 + array_const_0D0 , 4 4 4 if not array_y_set_initial then (if 4 <= glob_max_terms 1, 7 3 then (temporary : array_tmp2 glob_h factorial_3(3, 6), 4 array_y : temporary, array_y_higher : temporary, 7 1, 7 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 6 temporary 3.0 temporary : -------------, array_y_higher : temporary, glob_h 3, 5 temporary 4.0 temporary : -------------, array_y_higher : temporary)), kkk : 5, glob_h 4, 4 array_tmp1 : att(4, array_tmp1_g, array_x, 1), 5 array_tmp1_g : - att(4, array_tmp1, array_x, 1), 5 array_tmp2 : array_tmp1 + array_const_0D0 , 5 5 5 if not array_y_set_initial then (if 5 <= glob_max_terms 1, 8 3 then (temporary : array_tmp2 glob_h factorial_3(4, 7), 5 array_y : temporary, array_y_higher : temporary, 8 1, 8 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 7 temporary 3.0 temporary : -------------, array_y_higher : temporary, glob_h 3, 6 temporary 4.0 temporary : -------------, array_y_higher : temporary)), kkk : 6, glob_h 4, 5 while kkk <= glob_max_terms do (array_tmp1 : kkk att(kkk - 1, array_tmp1_g, array_x, 1), array_tmp1_g : - att(kkk - 1, array_tmp1, array_x, 1), kkk array_tmp2 : array_tmp1 + array_const_0D0 , order_d : 3, kkk kkk kkk if 1 + order_d + kkk <= glob_max_terms then (if not array_y_set_initial 1, order_d + kkk order_d array_tmp2 glob_h kkk then (temporary : -----------------------------------------, factorial_3(kkk - 1, - 1 + order_d + kkk) array_y : temporary, array_y_higher : temporary, order_d + kkk 1, order_d + kkk term : - 1 + order_d + kkk, adj2 : 2, while (adj2 <= 1 + order_d) temporary convfp(adj2) and (term >= 1) do (temporary : ----------------------, glob_h array_y_higher : temporary, adj2 : 1 + adj2, term : term - 1))), adj2, term kkk : 1 + kkk)) log(x) (%i9) log10(x) := --------- log(10.0) log(x) (%o9) log10(x) := --------- log(10.0) (%i10) omniout_str(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a~%", string(str)) (%o10) omniout_str(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a~%", string(str)) (%i11) omniout_str_noeol(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a", string(str)) (%o11) omniout_str_noeol(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a", string(str)) (%i12) omniout_labstr(iolevel, label, str) := if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label), string(str)) (%o12) omniout_labstr(iolevel, label, str) := if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label), string(str)) (%i13) 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)) (%o13) 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)) (%i14) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value, postlabel), newline()) (%o14) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value, postlabel), newline()) (%i15) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline()) (%o15) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline()) (%i16) dump_series(iolevel, dump_label, series_name, array_series, numb) := 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 (%o16) dump_series(iolevel, dump_label, series_name, array_series, numb) := 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 (%i17) dump_series_2(iolevel, dump_label, series_name, array_series2, numb, subnum) := 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 (%o17) dump_series_2(iolevel, dump_label, series_name, array_series2, numb, subnum) := 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 (%i18) 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)) (%o18) 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)) (%i19) logitem_time(fd, secs_in) := (secs : secs_in, printf(fd, ""), if secs >= 0.0 then (sec_in_millinium : sec_in_min min_in_hour hours_in_day days_in_year years_in_century secs centuries_in_millinium, milliniums : ----------------, sec_in_millinium millinium_int : floor(milliniums), centuries : (milliniums - millinium_int) centuries_in_millinium, cent_int : floor(centuries), years : (centuries - cent_int) years_in_century, years_int : floor(years), days : (years - years_int) days_in_year, days_int : floor(days), hours : (days - days_int) hours_in_day, hours_int : floor(hours), minutes : (hours - hours_int) min_in_hour, minutes_int : floor(minutes), seconds : (minutes - minutes_int) sec_in_min, sec_int : floor(seconds), if millinium_int > 0 then printf(fd, "~d Millinia ~d\ Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif cent_int > 0 then printf(fd, "~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif 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, "")) (%o19) logitem_time(fd, secs_in) := (secs : secs_in, printf(fd, ""), if secs >= 0.0 then (sec_in_millinium : sec_in_min min_in_hour hours_in_day days_in_year years_in_century secs centuries_in_millinium, milliniums : ----------------, sec_in_millinium millinium_int : floor(milliniums), centuries : (milliniums - millinium_int) centuries_in_millinium, cent_int : floor(centuries), years : (centuries - cent_int) years_in_century, years_int : floor(years), days : (years - years_int) days_in_year, days_int : floor(days), hours : (days - days_int) hours_in_day, hours_int : floor(hours), minutes : (hours - hours_int) min_in_hour, minutes_int : floor(minutes), seconds : (minutes - minutes_int) sec_in_min, sec_int : floor(seconds), if millinium_int > 0 then printf(fd, "~d Millinia ~d\ Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif cent_int > 0 then printf(fd, "~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif 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, "")) (%i20) omniout_timestr(secs_in) := (secs : convfloat(secs_in), if secs >= convfloat(0.0) then (sec_in_millinium : convfloat(sec_in_min) convfloat(min_in_hour) convfloat(hours_in_day) convfloat(days_in_year) convfloat(years_in_century) secs convfloat(centuries_in_millinium), milliniums : ---------------------------, convfloat(sec_in_millinium) millinium_int : floor(milliniums), centuries : (milliniums - millinium_int) convfloat(centuries_in_millinium), cent_int : floor(centuries), years : (centuries - cent_int) convfloat(years_in_century), years_int : floor(years), days : (years - years_int) convfloat(days_in_year), days_int : floor(days), hours : (days - days_int) convfloat(hours_in_day), hours_int : floor(hours), minutes : (hours - hours_int) convfloat(min_in_hour), minutes_int : floor(minutes), seconds : (minutes - minutes_int) convfloat(sec_in_min), sec_int : floor(seconds), if millinium_int > 0 then printf(true, "= ~d Millinia ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif cent_int > 0 then printf(true, "= ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif 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~%")) (%o20) omniout_timestr(secs_in) := (secs : convfloat(secs_in), if secs >= convfloat(0.0) then (sec_in_millinium : convfloat(sec_in_min) convfloat(min_in_hour) convfloat(hours_in_day) convfloat(days_in_year) convfloat(years_in_century) secs convfloat(centuries_in_millinium), milliniums : ---------------------------, convfloat(sec_in_millinium) millinium_int : floor(milliniums), centuries : (milliniums - millinium_int) convfloat(centuries_in_millinium), cent_int : floor(centuries), years : (centuries - cent_int) convfloat(years_in_century), years_int : floor(years), days : (years - years_int) convfloat(days_in_year), days_int : floor(days), hours : (days - days_int) convfloat(hours_in_day), hours_int : floor(hours), minutes : (hours - hours_int) convfloat(min_in_hour), minutes_int : floor(minutes), seconds : (minutes - minutes_int) convfloat(sec_in_min), sec_int : floor(seconds), if millinium_int > 0 then printf(true, "= ~d Millinia ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif cent_int > 0 then printf(true, "= ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif 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~%")) (%i21) mode_declare(ats, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o21) [ats] (%i22) ats(mmm_ats, array_a, array_b, jjj_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 : array_a array_b + ret_ats, iii_ats : 1 + iii_ats)), iii_ats lll_ats ret_ats) (%o22) ats(mmm_ats, array_a, array_b, jjj_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 : array_a array_b + ret_ats, iii_ats : 1 + iii_ats)), iii_ats lll_ats ret_ats) (%i23) mode_declare(att, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o23) [att] (%i24) att(mmm_att, array_aa, array_bb, jjj_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 : array_aa array_bb convfp(al_att) + ret_att, iii_att lll_att ret_att iii_att : 1 + iii_att), ret_att : ---------------), ret_att) convfp(mmm_att) (%o24) att(mmm_att, array_aa, array_bb, jjj_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 : array_aa array_bb convfp(al_att) + ret_att, iii_att lll_att ret_att iii_att : 1 + iii_att), ret_att : ---------------), ret_att) convfp(mmm_att) (%i25) 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 (%o25) 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 (%i26) logditto(file) := (printf(file, ""), printf(file, "ditto"), printf(file, "")) (%o26) logditto(file) := (printf(file, ""), printf(file, "ditto"), printf(file, "")) (%i27) logitem_integer(file, n) := (printf(file, ""), printf(file, "~d", n), printf(file, "")) (%o27) logitem_integer(file, n) := (printf(file, ""), printf(file, "~d", n), printf(file, "")) (%i28) logitem_str(file, str) := (printf(file, ""), printf(file, str), printf(file, "")) (%o28) logitem_str(file, str) := (printf(file, ""), printf(file, str), printf(file, "")) (%i29) log_revs(file, revs) := printf(file, revs) (%o29) log_revs(file, revs) := printf(file, revs) (%i30) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x), printf(file, "")) (%o30) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x), printf(file, "")) (%i31) 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, "")) (%o31) 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, "")) (%i32) logstart(file) := printf(file, "") (%o32) logstart(file) := printf(file, "") (%i33) logend(file) := printf(file, "~%") (%o33) logend(file) := printf(file, "~%") (%i34) chk_data() := (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()) (%o34) chk_data() := (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()) (%i35) mode_declare(comp_expect_sec, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o35) [comp_expect_sec] (%i36) comp_expect_sec(t_end2, t_start2, t2, clock_sec) := (ms2 : clock_sec, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, if sub1 = 0.0 then sec_left : 0.0 else (if abs(sub2) > 0.0 sub1 then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left) sub2 (%o36) comp_expect_sec(t_end2, t_start2, t2, clock_sec) := (ms2 : clock_sec, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, if sub1 = 0.0 then sec_left : 0.0 else (if abs(sub2) > 0.0 sub1 then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left) sub2 (%i37) mode_declare(comp_percent, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o37) [comp_percent] (%i38) comp_percent(t_end2, t_start2, t2) := (sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, 100.0 sub2 if abs(sub2) > glob_small_float then rrr : ---------- else rrr : 0.0, rrr) sub1 (%o38) comp_percent(t_end2, t_start2, t2) := (sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, 100.0 sub2 if abs(sub2) > glob_small_float then rrr : ---------- else rrr : 0.0, rrr) sub1 (%i39) mode_declare(factorial_1, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o39) [factorial_1] (%i40) factorial_1(nnn) := nnn! (%o40) factorial_1(nnn) := nnn! (%i41) mode_declare(factorial_3, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o41) [factorial_3] mmm2! (%i42) factorial_3(mmm2, nnn2) := ----- nnn2! mmm2! (%o42) factorial_3(mmm2, nnn2) := ----- nnn2! (%i43) convfp(mmm) := mmm (%o43) convfp(mmm) := mmm (%i44) convfloat(mmm) := mmm (%o44) convfloat(mmm) := mmm (%i45) elapsed_time_seconds() := (t : elapsed_real_time(), t) (%o45) elapsed_time_seconds() := (t : elapsed_real_time(), t) (%i46) arcsin(x) := asin(x) (%o46) arcsin(x) := asin(x) (%i47) arccos(x) := acos(x) (%o47) arccos(x) := acos(x) (%i48) arctan(x) := atan(x) (%o48) arctan(x) := atan(x) (%i49) exact_soln_y(x) := 1.0 - sin(x) (%o49) exact_soln_y(x) := 1.0 - sin(x) (%i50) exact_soln_yp(x) := - cos(x) (%o50) exact_soln_yp(x) := - cos(x) (%i51) exact_soln_ypp(x) := sin(x) (%o51) exact_soln_ypp(x) := sin(x) (%i52) mainprog() := (define_variable(INFO, 2, fixnum), define_variable(DEBUGL, 3, fixnum), define_variable(glob_iolevel, 5, fixnum), define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(glob_max_terms, 30, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_optimal_clock_start_sec, 0.0, float), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_hmin, 1.0E-11, float), define_variable(glob_not_yet_finished, true, boolean), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_percent_done, 0.0, float), define_variable(glob_iter, 0, fixnum), define_variable(glob_start, 0, fixnum), define_variable(glob_look_poles, false, boolean), define_variable(glob_last_good_h, 0.1, float), define_variable(glob_large_float, 9.0E+100, float), define_variable(glob_disp_incr, 0.1, float), define_variable(glob_initial_pass, true, boolean), define_variable(years_in_century, 100.0, float), define_variable(glob_dump, false, boolean), define_variable(glob_log10abserr, 0.0, float), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_warned2, false, boolean), define_variable(glob_max_sec, 10000.0, float), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_hmin_init, 0.001, float), define_variable(glob_almost_1, 0.999, float), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_hmax, 1.0, float), define_variable(glob_optimal_done, false, boolean), define_variable(sec_in_min, 60.0, float), define_variable(glob_normmax, 0.0, float), define_variable(glob_smallish_float, 1.0E-101, float), define_variable(glob_reached_optimal_h, false, boolean), define_variable(glob_clock_sec, 0.0, float), define_variable(hours_in_day, 24.0, float), define_variable(glob_current_iter, 0, fixnum), define_variable(glob_relerr, 1.0E-11, float), define_variable(glob_log10_relerr, 1.0E-11, float), define_variable(glob_h, 0.1, float), define_variable(min_in_hour, 60.0, float), define_variable(glob_display_flag, true, boolean), define_variable(glob_html_log, true, boolean), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_log10relerr, 0.0, float), define_variable(glob_no_eqs, 0, fixnum), define_variable(glob_log10_abserr, 1.0E-11, float), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(djd_debug2, true, boolean), define_variable(glob_max_minutes, 0.0, float), define_variable(glob_warned, false, boolean), define_variable(glob_max_hours, 0.0, float), define_variable(glob_dump_analytic, false, boolean), define_variable(glob_log10normmin, 0.1, float), define_variable(glob_subiter_method, 3, fixnum), define_variable(djd_debug, true, boolean), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_small_float, 1.0E-51, float), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_abserr, 1.0E-11, float), define_variable(glob_clock_start_sec, 0.0, float), define_variable(centuries_in_millinium, 10.0, float), define_variable(days_in_year, 365.0, 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/h3sinpostode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 3 ) = sin(x);"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits : 50,"), omniout_str(ALWAYS, "max_terms : 30,"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "x_start : 0.1,"), omniout_str(ALWAYS, "x_end : 5.0 ,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS, "array_y_init[1 + 1] : exact_soln_yp(x_start),"), omniout_str(ALWAYS, "array_y_init[2 + 1] : exact_soln_ypp(x_start),"), omniout_str(ALWAYS, "glob_h : 0.00001,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 20,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_h : 0.0001 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 1000,"), omniout_str(ALWAYS, "glob_max_minutes : 15,"), omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"), omniout_str(ALWAYS, "exact_soln_y (x) := ("), omniout_str(ALWAYS, "1.0 - sin(x) "), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, "exact_soln_yp (x) := ("), omniout_str(ALWAYS, "-cos(x) "), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, "exact_soln_ypp (x) := ("), omniout_str(ALWAYS, "sin(x) "), 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, glob_log10_abserr : - 8.0, glob_log10_relerr : - 8.0, glob_hmax : 0.01, Digits : 50, max_terms : 30, glob_max_terms : max_terms, glob_html_log : true, array(array_norms, 1 + max_terms), array(array_tmp1_g, 1 + max_terms), array(array_type_pole, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_y_init, 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_1st_rel_error, 1 + max_terms), array(array_m1, 1 + max_terms), array(array_pole, 1 + max_terms), array(array_y_higher_work2, 1 + 4, 1 + max_terms), array(array_poles, 1 + 1, 1 + 3), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_real_pole, 1 + 1, 1 + 3), array(array_y_higher_work, 1 + 4, 1 + max_terms), array(array_complex_pole, 1 + 1, 1 + 3), array(array_y_higher, 1 + 4, 1 + max_terms), term : 1, while term <= max_terms do (array_norms : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp1_g : 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_last_rel_error : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_y_init : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_y : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_x : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_tmp0 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_tmp1 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_tmp2 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_pole : 0.0, term : 1 + term), ord : 1, term while ord <= 4 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 <= 1 do (term : 1, while term <= 3 do (array_poles : 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_real_pole : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 4 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 <= 1 do (term : 1, while term <= 3 do (array_complex_pole : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 4 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord, term ord : 1 + ord), array(array_tmp1_g, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1_g : 0.0, term : 1 + term), term array(array_tmp2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp2 : 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_tmp0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp0 : 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_y, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term), term array(array_const_0D0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term), term array_const_0D0 : 0.0, array(array_const_3, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_3 : 0.0, term : 1 + term), term array_const_3 : 3, array(array_m1, 1 + 1 + max_terms), term : 1, 1 while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term array_m1 : - 1.0, x_start : 0.1, x_end : 5.0, 1 array_y_init : exact_soln_y(x_start), 1 + 0 array_y_init : exact_soln_yp(x_start), 1 + 1 array_y_init : exact_soln_ypp(x_start), glob_h : 1.0E-5, 1 + 2 glob_look_poles : true, glob_max_iter : 20, glob_h : 1.0E-4, glob_look_poles : true, glob_max_iter : 1000, glob_max_minutes : 15, glob_last_good_h : glob_h, glob_max_terms : max_terms, glob_max_sec : convfloat(3600.0) convfloat(glob_max_hours) + convfloat(60.0) convfloat(glob_max_minutes), glob_log10_abserr glob_log10_relerr glob_abserr : 10.0 , glob_relerr : 10.0 , chk_data(), array_y_set_initial : true, array_y_set_initial : true, 1, 1 1, 2 array_y_set_initial : true, array_y_set_initial : false, 1, 3 1, 4 array_y_set_initial : false, array_y_set_initial : false, 1, 5 1, 6 array_y_set_initial : false, array_y_set_initial : false, 1, 7 1, 8 array_y_set_initial : false, array_y_set_initial : false, 1, 9 1, 10 array_y_set_initial : false, array_y_set_initial : false, 1, 11 1, 12 array_y_set_initial : false, array_y_set_initial : false, 1, 13 1, 14 array_y_set_initial : false, array_y_set_initial : false, 1, 15 1, 16 array_y_set_initial : false, array_y_set_initial : false, 1, 17 1, 18 array_y_set_initial : false, array_y_set_initial : false, 1, 19 1, 20 array_y_set_initial : false, array_y_set_initial : false, 1, 21 1, 22 array_y_set_initial : false, array_y_set_initial : false, 1, 23 1, 24 array_y_set_initial : false, array_y_set_initial : false, 1, 25 1, 26 array_y_set_initial : false, array_y_set_initial : false, 1, 27 1, 28 array_y_set_initial : false, array_y_set_initial : false, 1, 29 1, 30 if glob_html_log then html_log_file : openw("html/entry.html"), omniout_str(ALWAYS, "START of Soultion"), array_x : x_start, 1 array_x : glob_h, order_diff : 3, term_no : 1, 2 while term_no <= order_diff do (array_y : term_no term_no - 1 array_y_init glob_h 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, term_no - 1 array_y_init glob_h 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(), start_array_y(), if !array_y_higher ! > glob_small_float ! 1, 1! then (tmp : !array_y_higher !, log10norm : log10(tmp), ! 1, 1! if log10norm < glob_log10normmin then glob_log10normmin : log10norm), display_alot(current_iter), glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 0, glob_iter : 0, omniout_str(DEBUGL, " "), glob_reached_optimal_h : true, glob_optimal_clock_start_sec : elapsed_time_seconds(), while (glob_current_iter < glob_max_iter) and (array_x <= x_end) and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < 1 convfloat(glob_max_sec)) do (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(), if glob_look_poles then check_for_pole(), array_x : glob_h + array_x , 1 1 array_x : glob_h, order_diff : 3, ord : 4, calc_term : 1, 2 iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 4, iii array_y_higher 4, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 4, 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 calc_term - 1 temp_sum glob_h ----------------------------, ord : 3, calc_term : 2, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 3, iii array_y_higher 3, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 3, 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 calc_term - 1 temp_sum glob_h ----------------------------, ord : 3, calc_term : 1, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 3, iii array_y_higher 3, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 3, 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 calc_term - 1 temp_sum glob_h ----------------------------, ord : 2, calc_term : 3, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 2, iii array_y_higher 2, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 2, calc_term : 3, 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 calc_term - 1 temp_sum glob_h ----------------------------, ord : 2, calc_term : 2, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 2, iii array_y_higher 2, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 2, 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 calc_term - 1 temp_sum glob_h ----------------------------, ord : 2, calc_term : 1, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 2, iii array_y_higher 2, iii -------------------- calc_term - 1 glob_h -------------------------------------, 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 calc_term - 1 temp_sum glob_h ----------------------------, ord : 1, calc_term : 4, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 4, 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 calc_term - 1 temp_sum glob_h ----------------------------, ord : 1, calc_term : 3, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 3, 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 calc_term - 1 temp_sum glob_h ----------------------------, ord : 1, calc_term : 2, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, 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 calc_term - 1 temp_sum glob_h ----------------------------, ord : 1, calc_term : 1, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, 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 calc_term - 1 temp_sum glob_h ----------------------------, term_no : glob_max_terms, convfp(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 display_alot(current_iter)), 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 , 3 ) = sin(x);"), omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "), prog_report(x_start, x_end), if glob_html_log then (logstart(html_log_file), logitem_str(html_log_file, "2012-06-13T14:01:27-05:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "h3sin"), logitem_str(html_log_file, "diff ( y , x , 3 ) = sin(x);"), 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_integer(html_log_file, glob_max_terms), logitem_float(html_log_file, array_1st_rel_error ), 1 logitem_float(html_log_file, array_last_rel_error ), 1 logitem_integer(html_log_file, glob_iter), logitem_pole(html_log_file, array_type_pole ), 1 if (array_type_pole = 1) 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_optimal_expect_sec)), 0) else (logitem_str(html_log_file, "Done"), 0), log_revs(html_log_file, " 090 "), logitem_str(html_log_file, "h3sin diffeq.max"), logitem_str(html_log_file, "h3sin maxima results"), logitem_str(html_log_file, "Test of revised logic - mostly affecting systems of eqs"), logend(html_log_file)), if glob_html_log then close(html_log_file)) (%o52) mainprog() := (define_variable(INFO, 2, fixnum), define_variable(DEBUGL, 3, fixnum), define_variable(glob_iolevel, 5, fixnum), define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(glob_max_terms, 30, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_optimal_clock_start_sec, 0.0, float), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_hmin, 1.0E-11, float), define_variable(glob_not_yet_finished, true, boolean), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_percent_done, 0.0, float), define_variable(glob_iter, 0, fixnum), define_variable(glob_start, 0, fixnum), define_variable(glob_look_poles, false, boolean), define_variable(glob_last_good_h, 0.1, float), define_variable(glob_large_float, 9.0E+100, float), define_variable(glob_disp_incr, 0.1, float), define_variable(glob_initial_pass, true, boolean), define_variable(years_in_century, 100.0, float), define_variable(glob_dump, false, boolean), define_variable(glob_log10abserr, 0.0, float), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_warned2, false, boolean), define_variable(glob_max_sec, 10000.0, float), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_hmin_init, 0.001, float), define_variable(glob_almost_1, 0.999, float), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_hmax, 1.0, float), define_variable(glob_optimal_done, false, boolean), define_variable(sec_in_min, 60.0, float), define_variable(glob_normmax, 0.0, float), define_variable(glob_smallish_float, 1.0E-101, float), define_variable(glob_reached_optimal_h, false, boolean), define_variable(glob_clock_sec, 0.0, float), define_variable(hours_in_day, 24.0, float), define_variable(glob_current_iter, 0, fixnum), define_variable(glob_relerr, 1.0E-11, float), define_variable(glob_log10_relerr, 1.0E-11, float), define_variable(glob_h, 0.1, float), define_variable(min_in_hour, 60.0, float), define_variable(glob_display_flag, true, boolean), define_variable(glob_html_log, true, boolean), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_log10relerr, 0.0, float), define_variable(glob_no_eqs, 0, fixnum), define_variable(glob_log10_abserr, 1.0E-11, float), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(djd_debug2, true, boolean), define_variable(glob_max_minutes, 0.0, float), define_variable(glob_warned, false, boolean), define_variable(glob_max_hours, 0.0, float), define_variable(glob_dump_analytic, false, boolean), define_variable(glob_log10normmin, 0.1, float), define_variable(glob_subiter_method, 3, fixnum), define_variable(djd_debug, true, boolean), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_small_float, 1.0E-51, float), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_abserr, 1.0E-11, float), define_variable(glob_clock_start_sec, 0.0, float), define_variable(centuries_in_millinium, 10.0, float), define_variable(days_in_year, 365.0, 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/h3sinpostode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 3 ) = sin(x);"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits : 50,"), omniout_str(ALWAYS, "max_terms : 30,"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "x_start : 0.1,"), omniout_str(ALWAYS, "x_end : 5.0 ,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS, "array_y_init[1 + 1] : exact_soln_yp(x_start),"), omniout_str(ALWAYS, "array_y_init[2 + 1] : exact_soln_ypp(x_start),"), omniout_str(ALWAYS, "glob_h : 0.00001,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 20,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_h : 0.0001 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 1000,"), omniout_str(ALWAYS, "glob_max_minutes : 15,"), omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"), omniout_str(ALWAYS, "exact_soln_y (x) := ("), omniout_str(ALWAYS, "1.0 - sin(x) "), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, "exact_soln_yp (x) := ("), omniout_str(ALWAYS, "-cos(x) "), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, "exact_soln_ypp (x) := ("), omniout_str(ALWAYS, "sin(x) "), 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, glob_log10_abserr : - 8.0, glob_log10_relerr : - 8.0, glob_hmax : 0.01, Digits : 50, max_terms : 30, glob_max_terms : max_terms, glob_html_log : true, array(array_norms, 1 + max_terms), array(array_tmp1_g, 1 + max_terms), array(array_type_pole, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_y_init, 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_1st_rel_error, 1 + max_terms), array(array_m1, 1 + max_terms), array(array_pole, 1 + max_terms), array(array_y_higher_work2, 1 + 4, 1 + max_terms), array(array_poles, 1 + 1, 1 + 3), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_real_pole, 1 + 1, 1 + 3), array(array_y_higher_work, 1 + 4, 1 + max_terms), array(array_complex_pole, 1 + 1, 1 + 3), array(array_y_higher, 1 + 4, 1 + max_terms), term : 1, while term <= max_terms do (array_norms : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp1_g : 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_last_rel_error : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_y_init : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_y : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_x : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_tmp0 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_tmp1 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_tmp2 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_pole : 0.0, term : 1 + term), ord : 1, term while ord <= 4 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 <= 1 do (term : 1, while term <= 3 do (array_poles : 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_real_pole : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 4 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 <= 1 do (term : 1, while term <= 3 do (array_complex_pole : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 4 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord, term ord : 1 + ord), array(array_tmp1_g, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1_g : 0.0, term : 1 + term), term array(array_tmp2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp2 : 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_tmp0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp0 : 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_y, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term), term array(array_const_0D0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term), term array_const_0D0 : 0.0, array(array_const_3, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_3 : 0.0, term : 1 + term), term array_const_3 : 3, array(array_m1, 1 + 1 + max_terms), term : 1, 1 while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term array_m1 : - 1.0, x_start : 0.1, x_end : 5.0, 1 array_y_init : exact_soln_y(x_start), 1 + 0 array_y_init : exact_soln_yp(x_start), 1 + 1 array_y_init : exact_soln_ypp(x_start), glob_h : 1.0E-5, 1 + 2 glob_look_poles : true, glob_max_iter : 20, glob_h : 1.0E-4, glob_look_poles : true, glob_max_iter : 1000, glob_max_minutes : 15, glob_last_good_h : glob_h, glob_max_terms : max_terms, glob_max_sec : convfloat(3600.0) convfloat(glob_max_hours) + convfloat(60.0) convfloat(glob_max_minutes), glob_log10_abserr glob_log10_relerr glob_abserr : 10.0 , glob_relerr : 10.0 , chk_data(), array_y_set_initial : true, array_y_set_initial : true, 1, 1 1, 2 array_y_set_initial : true, array_y_set_initial : false, 1, 3 1, 4 array_y_set_initial : false, array_y_set_initial : false, 1, 5 1, 6 array_y_set_initial : false, array_y_set_initial : false, 1, 7 1, 8 array_y_set_initial : false, array_y_set_initial : false, 1, 9 1, 10 array_y_set_initial : false, array_y_set_initial : false, 1, 11 1, 12 array_y_set_initial : false, array_y_set_initial : false, 1, 13 1, 14 array_y_set_initial : false, array_y_set_initial : false, 1, 15 1, 16 array_y_set_initial : false, array_y_set_initial : false, 1, 17 1, 18 array_y_set_initial : false, array_y_set_initial : false, 1, 19 1, 20 array_y_set_initial : false, array_y_set_initial : false, 1, 21 1, 22 array_y_set_initial : false, array_y_set_initial : false, 1, 23 1, 24 array_y_set_initial : false, array_y_set_initial : false, 1, 25 1, 26 array_y_set_initial : false, array_y_set_initial : false, 1, 27 1, 28 array_y_set_initial : false, array_y_set_initial : false, 1, 29 1, 30 if glob_html_log then html_log_file : openw("html/entry.html"), omniout_str(ALWAYS, "START of Soultion"), array_x : x_start, 1 array_x : glob_h, order_diff : 3, term_no : 1, 2 while term_no <= order_diff do (array_y : term_no term_no - 1 array_y_init glob_h 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, term_no - 1 array_y_init glob_h 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(), start_array_y(), if !array_y_higher ! > glob_small_float ! 1, 1! then (tmp : !array_y_higher !, log10norm : log10(tmp), ! 1, 1! if log10norm < glob_log10normmin then glob_log10normmin : log10norm), display_alot(current_iter), glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 0, glob_iter : 0, omniout_str(DEBUGL, " "), glob_reached_optimal_h : true, glob_optimal_clock_start_sec : elapsed_time_seconds(), while (glob_current_iter < glob_max_iter) and (array_x <= x_end) and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < 1 convfloat(glob_max_sec)) do (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(), if glob_look_poles then check_for_pole(), array_x : glob_h + array_x , 1 1 array_x : glob_h, order_diff : 3, ord : 4, calc_term : 1, 2 iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 4, iii array_y_higher 4, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 4, 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 calc_term - 1 temp_sum glob_h ----------------------------, ord : 3, calc_term : 2, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 3, iii array_y_higher 3, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 3, 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 calc_term - 1 temp_sum glob_h ----------------------------, ord : 3, calc_term : 1, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 3, iii array_y_higher 3, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 3, 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 calc_term - 1 temp_sum glob_h ----------------------------, ord : 2, calc_term : 3, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 2, iii array_y_higher 2, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 2, calc_term : 3, 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 calc_term - 1 temp_sum glob_h ----------------------------, ord : 2, calc_term : 2, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 2, iii array_y_higher 2, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 2, 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 calc_term - 1 temp_sum glob_h ----------------------------, ord : 2, calc_term : 1, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 2, iii array_y_higher 2, iii -------------------- calc_term - 1 glob_h -------------------------------------, 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 calc_term - 1 temp_sum glob_h ----------------------------, ord : 1, calc_term : 4, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 4, 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 calc_term - 1 temp_sum glob_h ----------------------------, ord : 1, calc_term : 3, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 3, 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 calc_term - 1 temp_sum glob_h ----------------------------, ord : 1, calc_term : 2, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, 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 calc_term - 1 temp_sum glob_h ----------------------------, ord : 1, calc_term : 1, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, 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 calc_term - 1 temp_sum glob_h ----------------------------, term_no : glob_max_terms, convfp(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 display_alot(current_iter)), 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 , 3 ) = sin(x);"), omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "), prog_report(x_start, x_end), if glob_html_log then (logstart(html_log_file), logitem_str(html_log_file, "2012-06-13T14:01:27-05:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "h3sin"), logitem_str(html_log_file, "diff ( y , x , 3 ) = sin(x);"), 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_integer(html_log_file, glob_max_terms), logitem_float(html_log_file, array_1st_rel_error ), 1 logitem_float(html_log_file, array_last_rel_error ), 1 logitem_integer(html_log_file, glob_iter), logitem_pole(html_log_file, array_type_pole ), 1 if (array_type_pole = 1) 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_optimal_expect_sec)), 0) else (logitem_str(html_log_file, "Done"), 0), log_revs(html_log_file, " 090 "), logitem_str(html_log_file, "h3sin diffeq.max"), logitem_str(html_log_file, "h3sin maxima results"), logitem_str(html_log_file, "Test of revised logic - mostly affecting systems of eqs"), logend(html_log_file)), if glob_html_log then close(html_log_file)) (%i53) mainprog() "##############ECHO OF PROBLEM#################" "##############temp/h3sinpostode.ode#################" "diff ( y , x , 3 ) = sin(x);" "!" "/* BEGIN FIRST INPUT BLOCK */" "Digits : 50," "max_terms : 30," "!" "/* END FIRST INPUT BLOCK */" "/* BEGIN SECOND INPUT BLOCK */" "x_start : 0.1," "x_end : 5.0 ," "array_y_init[0 + 1] : exact_soln_y(x_start)," "array_y_init[1 + 1] : exact_soln_yp(x_start)," "array_y_init[2 + 1] : exact_soln_ypp(x_start)," "glob_h : 0.00001," "glob_look_poles : true," "glob_max_iter : 20," "/* END SECOND INPUT BLOCK */" "/* BEGIN OVERRIDE BLOCK */" "glob_h : 0.0001 ," "glob_look_poles : true," "glob_max_iter : 1000," "glob_max_minutes : 15," "/* END OVERRIDE BLOCK */" "!" "/* BEGIN USER DEF BLOCK */" "exact_soln_y (x) := (" "1.0 - sin(x) " ");" "exact_soln_yp (x) := (" "-cos(x) " ");" "exact_soln_ypp (x) := (" "sin(x) " ");" "/* END USER DEF BLOCK */" "#######END OF ECHO OF PROBLEM#################" "START of Soultion" x[1] = 0.1 " " y[1] (analytic) = 0.9001665833531718 " " y[1] (numeric) = 0.9001665833531718 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10010000000000001 " " y[1] (analytic) = 0.900067083435977 " " y[1] (numeric) = 0.9000670834358278 " " absolute error = 1.49213974509621040000000000000E-13 " " relative error = 1.65780948171109100000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10020000000000001 " " y[1] (analytic) = 0.8999675845181112 " " y[1] (numeric) = 0.8999675845169177 " " absolute error = 1.1934897514720433000000000000E-12 " " relative error = 1.32614748797991320000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10030000000000001 " " y[1] (analytic) = 0.8998680866005697 " " y[1] (numeric) = 0.8998680865965417 " " absolute error = 4.0280001556425304000000000000E-12 " " relative error = 4.47621180884311630000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10040000000000002 " " y[1] (analytic) = 0.8997685896843473 " " y[1] (numeric) = 0.8997685896747999 " " absolute error = 9.547362900264034000000000000E-12 " " relative error = 1.061090930459508000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10050000000000002 " " y[1] (analytic) = 0.8996690937704389 " " y[1] (numeric) = 0.8996690937517924 " " absolute error = 1.864652876548689200000000000E-11 " " relative error = 2.0725985692518156000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10060000000000002 " " y[1] (analytic) = 0.8995695988598396 " " y[1] (numeric) = 0.8995695988276194 " " absolute error = 3.222011546455405600000000000E-11 " " relative error = 3.5817256947535214000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10070000000000003 " " y[1] (analytic) = 0.8994701049535443 " " y[1] (numeric) = 0.8994701049023814 " " absolute error = 5.11628517330109400000000000E-11 " " relative error = 5.688110305306188000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10080000000000003 " " y[1] (analytic) = 0.899370612052548 " " y[1] (numeric) = 0.8993706119761788 " " absolute error = 7.63691332394955700000000000E-11 " " relative error = 8.49139745240347100000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10090000000000003 " " y[1] (analytic) = 0.8992711201578456 " " y[1] (numeric) = 0.8992711200491124 " " absolute error = 1.0873324463034350000000000E-10 " " relative error = 1.209126393509200700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10100000000000003 " " y[1] (analytic) = 0.8991716292704319 " " y[1] (numeric) = 0.8991716291212826 " " absolute error = 1.49149359529587850000000000E-10 " " relative error = 1.65874183164124500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10110000000000004 " " y[1] (analytic) = 0.899072139391302 " " y[1] (numeric) = 0.8990721391927903 " " absolute error = 1.98511762583564180000000000E-10 " " relative error = 2.207962563693302800000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10120000000000004 " " y[1] (analytic) = 0.8989726505214507 " " y[1] (numeric) = 0.8989726502637363 " " absolute error = 2.57714405371700650000000000E-10 " " relative error = 2.866765804523785400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10130000000000004 " " y[1] (analytic) = 0.8988731626618729 " " y[1] (numeric) = 0.8988731623342217 " " absolute error = 3.27651239473425450000000000E-10 " " relative error = 3.645133185455635700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10140000000000005 " " y[1] (analytic) = 0.8987736758135634 " " y[1] (numeric) = 0.8987736754043474 " " absolute error = 4.0921599442356180000000000E-10 " " relative error = 4.553048286078722500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10150000000000005 " " y[1] (analytic) = 0.8986741899775172 " " y[1] (numeric) = 0.8986741894742147 " " absolute error = 5.0330251077923550000000000E-10 " " relative error = 5.60050034141769300000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10160000000000005 " " y[1] (analytic) = 0.898574705154729 " " y[1] (numeric) = 0.898574704543925 " " absolute error = 6.1080407398605980000000000E-10 " " relative error = 6.7974768317218900000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10170000000000005 " " y[1] (analytic) = 0.898475221346194 " " y[1] (numeric) = 0.8984752206135794 " " absolute error = 7.3261452460116060000000000E-10 " " relative error = 8.15397583812581200000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10180000000000006 " " y[1] (analytic) = 0.8983757385529065 " " y[1] (numeric) = 0.8983757376832796 " " absolute error = 8.6962692602554630000000000E-10 " " relative error = 9.67999121866682900000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10190000000000006 " " y[1] (analytic) = 0.8982762567758618 " " y[1] (numeric) = 0.8982762557531271 " " absolute error = 1.0227346747271326000000000E-9 " " relative error = 1.1385524965315051000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10200000000000006 " " y[1] (analytic) = 0.8981767760160544 " " y[1] (numeric) = 0.8981767748232236 " " absolute error = 1.1928308341069283000000000E-9 " " relative error = 1.32805797918516540000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10210000000000007 " " y[1] (analytic) = 0.8980772962744793 " " y[1] (numeric) = 0.8980772948936707 " " absolute error = 1.380808578588244000000000E-9 " " relative error = 1.53751640790418980000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10220000000000007 " " y[1] (analytic) = 0.8979778175521312 " " y[1] (numeric) = 0.8979778159645705 " " absolute error = 1.5875607495274835000000000E-9 " " relative error = 1.76792869322222320000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10230000000000007 " " y[1] (analytic) = 0.897878339850005 " " y[1] (numeric) = 0.8978783380360249 " " absolute error = 1.8139800772587478000000000E-9 " " relative error = 2.02029606545780140000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10240000000000007 " " y[1] (analytic) = 0.8977788631690954 " " y[1] (numeric) = 0.897778861108136 " " absolute error = 2.0609594031384404000000000E-9 " " relative error = 2.29562032220651830000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10250000000000008 " " y[1] (analytic) = 0.8976793875103971 " " y[1] (numeric) = 0.8976793851810059 " " absolute error = 2.3293912354560575000000000E-9 " " relative error = 2.59490333393566750000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10260000000000008 " " y[1] (analytic) = 0.8975799128749049 " " y[1] (numeric) = 0.8975799102547368 " " absolute error = 2.6201680825010953000000000E-9 " " relative error = 2.91914741508510800000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10270000000000008 " " y[1] (analytic) = 0.8974804392636136 " " y[1] (numeric) = 0.8974804363294313 " " absolute error = 2.9341823415407475000000000E-9 " " relative error = 3.2693552005971920000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10280000000000009 " " y[1] (analytic) = 0.897380966677518 " " y[1] (numeric) = 0.8973809634051917 " " absolute error = 3.2723262988199053000000000E-9 " " relative error = 3.64652964608268240000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10290000000000009 " " y[1] (analytic) = 0.8972814951176127 " " y[1] (numeric) = 0.8972814914821207 " " absolute error = 3.635492018538855000000000E-9 " " relative error = 4.05167390425490400000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10300000000000009 " " y[1] (analytic) = 0.8971820245848924 " " y[1] (numeric) = 0.8971820205603208 " " absolute error = 4.024571564897883000000000E-9 " " relative error = 4.4857915725183745000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1031000000000001 " " y[1] (analytic) = 0.8970825550803518 " " y[1] (numeric) = 0.8970825506398948 " " absolute error = 4.4404570020972756000000000E-9 " " relative error = 4.9498866932035520000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1032000000000001 " " y[1] (analytic) = 0.8969830866049857 " " y[1] (numeric) = 0.8969830817209458 " " absolute error = 4.884039950248109000000000E-9 " " relative error = 5.4449632587096350000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1033000000000001 " " y[1] (analytic) = 0.8968836191597888 " " y[1] (numeric) = 0.8968836138035764 " " absolute error = 5.3562123625283680000000000E-9 " " relative error = 5.9720260779722250000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1034000000000001 " " y[1] (analytic) = 0.8967841527457556 " " y[1] (numeric) = 0.8967841468878899 " " absolute error = 5.857865748026825000000000E-9 " " relative error = 6.5320799103009690000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1035000000000001 " " y[1] (analytic) = 0.896684687363881 " " y[1] (numeric) = 0.8966846809739893 " " absolute error = 6.389891615832255000000000E-9 " " relative error = 7.1261299605969430000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10360000000000011 " " y[1] (analytic) = 0.8965852230151594 " " y[1] (numeric) = 0.8965852160619782 " " absolute error = 6.953181252988827000000000E-9 " " relative error = 7.7551816319320080000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10370000000000011 " " y[1] (analytic) = 0.8964857597005856 " " y[1] (numeric) = 0.8964857521519596 " " absolute error = 7.548626057563013000000000E-9 " " relative error = 8.4202408971718120000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10380000000000011 " " y[1] (analytic) = 0.8963862974211543 " " y[1] (numeric) = 0.8963862892440372 " " absolute error = 8.177117094554376000000000E-9 " " relative error = 9.1223138038582430000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10390000000000012 " " y[1] (analytic) = 0.8962868361778599 " " y[1] (numeric) = 0.8962868273383144 " " absolute error = 8.839545428962481000000000E-9 " " relative error = 9.8624068458463380000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10400000000000012 " " y[1] (analytic) = 0.8961873759716972 " " y[1] (numeric) = 0.896187366434895 " " absolute error = 9.536802125786892000000000E-9 " " relative error = 1.0641526963539907000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10410000000000012 " " y[1] (analytic) = 0.8960879168036607 " " y[1] (numeric) = 0.8960879065338827 " " absolute error = 1.026977802798256800000000E-8 " " relative error = 1.1460681296333952000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10420000000000013 " " y[1] (analytic) = 0.8959884586747451 " " y[1] (numeric) = 0.8959884476353813 " " absolute error = 1.103936375645986300000000E-8 " " relative error = 1.2320877182713008000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10430000000000013 " " y[1] (analytic) = 0.8958890015859449 " " y[1] (numeric) = 0.8958889897394949 " " absolute error = 1.184644993212913300000000E-8 " " relative error = 1.3223122408197880000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10440000000000013 " " y[1] (analytic) = 0.8957895455382545 " " y[1] (numeric) = 0.8957895328463275 " " absolute error = 1.269192706487842800000000E-8 " " relative error = 1.4168425081643712000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10450000000000013 " " y[1] (analytic) = 0.8956900905326689 " " y[1] (numeric) = 0.8956900769559831 " " absolute error = 1.357668577561810300000000E-8 " " relative error = 1.5157793883310708000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10460000000000014 " " y[1] (analytic) = 0.8955906365701822 " " y[1] (numeric) = 0.8955906220685662 " " absolute error = 1.450161601912469700000000E-8 " " relative error = 1.6192237197410994000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10470000000000014 " " y[1] (analytic) = 0.8954911836517893 " " y[1] (numeric) = 0.8954911681841811 " " absolute error = 1.54676081942639600000000E-8 " " relative error = 1.7272764351724230000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10480000000000014 " " y[1] (analytic) = 0.8953917317784844 " " y[1] (numeric) = 0.8953917153029322 " " absolute error = 1.64755522558124300000000E-8 " " relative error = 1.8400384626165392000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10490000000000015 " " y[1] (analytic) = 0.8952922809512623 " " y[1] (numeric) = 0.8952922634249241 " " absolute error = 1.752633826956895300000000E-8 " " relative error = 1.957610787277975800000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10500000000000015 " " y[1] (analytic) = 0.8951928311711174 " " y[1] (numeric) = 0.8951928125502614 " " absolute error = 1.86208559682654600000000E-8 " " relative error = 2.080094401996619200000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10510000000000015 " " y[1] (analytic) = 0.8950933824390441 " " y[1] (numeric) = 0.8950933626790489 " " absolute error = 1.975999519565618800000000E-8 " " relative error = 2.2075903568644517000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10520000000000015 " " y[1] (analytic) = 0.8949939347560371 " " y[1] (numeric) = 0.8949939138113915 " " absolute error = 2.09446455734507700000000E-8 " " relative error = 2.3401997220416906000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10530000000000016 " " y[1] (analytic) = 0.8948944881230906 " " y[1] (numeric) = 0.8948944659473941 " " absolute error = 2.217569650131423500000000E-8 " " relative error = 2.4780235877666978000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10540000000000016 " " y[1] (analytic) = 0.8947950425411992 " " y[1] (numeric) = 0.8947950190871617 " " absolute error = 2.34540374899339100000000E-8 " " relative error = 2.6211631015885980000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10550000000000016 " " y[1] (analytic) = 0.8946955980113576 " " y[1] (numeric) = 0.8946955732307996 " " absolute error = 2.478055793897482300000000E-8 " " relative error = 2.7697194435799880000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10560000000000017 " " y[1] (analytic) = 0.8945961545345598 " " y[1] (numeric) = 0.894596128378413 " " absolute error = 2.615614680401279000000000E-8 " " relative error = 2.923793789122791600000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10570000000000017 " " y[1] (analytic) = 0.8944967121118005 " " y[1] (numeric) = 0.8944966845301071 " " absolute error = 2.75816933736905400000000E-8 " " relative error = 3.0834873957863346000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10580000000000017 " " y[1] (analytic) = 0.8943972707440742 " " y[1] (numeric) = 0.8943972416859876 " " absolute error = 2.905808660358389000000000E-8 " " relative error = 3.248901528893268000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10590000000000017 " " y[1] (analytic) = 0.894297830432375 " " y[1] (numeric) = 0.8942977998461599 " " absolute error = 3.05862151162017400000000E-8 " " relative error = 3.420137461522625400000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10600000000000018 " " y[1] (analytic) = 0.8941983911776976 " " y[1] (numeric) = 0.8941983590107296 " " absolute error = 3.216696797814222500000000E-8 " " relative error = 3.5972965614237960000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10610000000000018 " " y[1] (analytic) = 0.8940989529810364 " " y[1] (numeric) = 0.8940989191798027 " " absolute error = 3.38012337008919400000000E-8 " " relative error = 3.7804801793128660000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10620000000000018 " " y[1] (analytic) = 0.8939995158433854 " " y[1] (numeric) = 0.8939994803534849 " " absolute error = 3.548990057389289600000000E-8 " " relative error = 3.969789686117700700000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10630000000000019 " " y[1] (analytic) = 0.8939000797657395 " " y[1] (numeric) = 0.893900042531882 " " absolute error = 3.723385744169860300000000E-8 " " relative error = 4.165326559927851600000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10640000000000019 " " y[1] (analytic) = 0.8938006447490927 " " y[1] (numeric) = 0.8938006057151003 " " absolute error = 3.90339923717064600000000E-8 " " relative error = 4.367192236996435000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10650000000000019 " " y[1] (analytic) = 0.8937012107944394 " " y[1] (numeric) = 0.8937011699032459 " " absolute error = 4.08911935423361700000000E-8 " " relative error = 4.575488211097608600000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1066000000000002 " " y[1] (analytic) = 0.8936017779027741 " " y[1] (numeric) = 0.8936017350964249 " " absolute error = 4.280634913200742600000000E-8 " " relative error = 4.790316021133169000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1067000000000002 " " y[1] (analytic) = 0.8935023460750909 " " y[1] (numeric) = 0.8935023012947438 " " absolute error = 4.47803470970953300000000E-8 " " relative error = 5.0117772263053400000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1068000000000002 " " y[1] (analytic) = 0.8934029153123842 " " y[1] (numeric) = 0.893402868498309 " " absolute error = 4.68140752829526700000000E-8 " " relative error = 5.23997341855369000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1069000000000002 " " y[1] (analytic) = 0.8933034856156485 " " y[1] (numeric) = 0.893303436707227 " " absolute error = 4.890842153493224500000000E-8 " " relative error = 5.475006235000354000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1070000000000002 " " y[1] (analytic) = 0.8932040569858779 " " y[1] (numeric) = 0.8932040059216045 " " absolute error = 5.106427336531993000000000E-8 " " relative error = 5.716977320684885000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10710000000000021 " " y[1] (analytic) = 0.8931046294240668 " " y[1] (numeric) = 0.8931045761415483 " " absolute error = 5.32825185084462300000000E-8 " " relative error = 5.965988390722635000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10720000000000021 " " y[1] (analytic) = 0.8930052029312092 " " y[1] (numeric) = 0.8930051473671651 " " absolute error = 5.55640441435301100000000E-8 " " relative error = 6.222141143315418000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10730000000000021 " " y[1] (analytic) = 0.8929057775082997 " " y[1] (numeric) = 0.8929057195985619 " " absolute error = 5.79097377828574600000000E-8 " " relative error = 6.485537359211362000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10740000000000022 " " y[1] (analytic) = 0.8928063531563324 " " y[1] (numeric) = 0.8928062928358458 " " absolute error = 6.03204866056472600000000E-8 " " relative error = 6.756278827138342000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10750000000000022 " " y[1] (analytic) = 0.8927069298763016 " " y[1] (numeric) = 0.892706867079124 " " absolute error = 6.27971776800961800000000E-8 " " relative error = 7.034467368680302000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10760000000000022 " " y[1] (analytic) = 0.8926075076692015 " " y[1] (numeric) = 0.8926074423285035 " " absolute error = 6.5340697963378600000000E-8 " " relative error = 7.32020483829425000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10770000000000023 " " y[1] (analytic) = 0.8925080865360263 " " y[1] (numeric) = 0.8925080185840919 " " absolute error = 6.79519344126688900000000E-8 " " relative error = 7.613593135766619000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10780000000000023 " " y[1] (analytic) = 0.8924086664777703 " " y[1] (numeric) = 0.8924085958459965 " " absolute error = 7.06317737630968200000000E-8 " " relative error = 7.914734181355716000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10790000000000023 " " y[1] (analytic) = 0.8923092474954275 " " y[1] (numeric) = 0.8923091741143249 " " absolute error = 7.33811026387698500000000E-8 " " relative error = 8.223729928243949000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10800000000000023 " " y[1] (analytic) = 0.8922098295899923 " " y[1] (numeric) = 0.8922097533891846 " " absolute error = 7.62008076637954400000000E-8 " " relative error = 8.540682374998367000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10810000000000024 " " y[1] (analytic) = 0.8921104127624588 " " y[1] (numeric) = 0.8921103336706836 " " absolute error = 7.90917752402364700000000E-8 " " relative error = 8.865693540704825000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10820000000000024 " " y[1] (analytic) = 0.8920109970138211 " " y[1] (numeric) = 0.8920109149589296 " " absolute error = 8.20548915481111900000000E-8 " " relative error = 9.198865464978097000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10830000000000024 " " y[1] (analytic) = 0.8919115823450736 " " y[1] (numeric) = 0.8919114972540305 " " absolute error = 8.50910431005047500000000E-8 " " relative error = 9.540300270210382000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10840000000000025 " " y[1] (analytic) = 0.8918121687572101 " " y[1] (numeric) = 0.8918120805560944 " " absolute error = 8.82011157443685100000000E-8 " " relative error = 9.890100049574528000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10850000000000025 " " y[1] (analytic) = 0.891712756251225 " " y[1] (numeric) = 0.8917126648652294 " " absolute error = 9.13859956597207200000000E-8 " " relative error = 1.024836697906049100000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10860000000000025 " " y[1] (analytic) = 0.8916133448281124 " " y[1] (numeric) = 0.8916132501815437 " " absolute error = 9.46465686935127300000000E-8 " " relative error = 1.06152032428091290000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10870000000000025 " " y[1] (analytic) = 0.8915139344888663 " " y[1] (numeric) = 0.8915138365051457 " " absolute error = 9.7983720581673600000000E-8 " " relative error = 1.09907110580218600000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10880000000000026 " " y[1] (analytic) = 0.8914145252344807 " " y[1] (numeric) = 0.8914144238361439 " " absolute error = 1.01398336838087740000000E-7 " " relative error = 1.137499266252314900000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10890000000000026 " " y[1] (analytic) = 0.89131511706595 " " y[1] (numeric) = 0.8913150121746467 " " absolute error = 1.04891303309706530000000E-7 " " relative error = 1.176815037705070400000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10900000000000026 " " y[1] (analytic) = 0.8912157099842681 " " y[1] (numeric) = 0.8912156015207628 " " absolute error = 1.08463505288369790000000E-7 " " relative error = 1.2170286505641200000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10910000000000027 " " y[1] (analytic) = 0.8911163039904291 " " y[1] (numeric) = 0.891116191874601 " " absolute error = 1.12115828065917360000000E-7 " " relative error = 1.258150339791353800000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10920000000000027 " " y[1] (analytic) = 0.8910168990854271 " " y[1] (numeric) = 0.8910167832362701 " " absolute error = 1.15849157045211370000000E-7 " " relative error = 1.300190346155311600000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10930000000000027 " " y[1] (analytic) = 0.8909174952702561 " " y[1] (numeric) = 0.8909173756058789 " " absolute error = 1.19664377185024760000000E-7 " " relative error = 1.343158910003502400000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10940000000000027 " " y[1] (analytic) = 0.89081809254591 " " y[1] (numeric) = 0.8908179689835366 " " absolute error = 1.23562373444130460000000E-7 " " relative error = 1.387066276247217500000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10950000000000028 " " y[1] (analytic) = 0.8907186909133832 " " y[1] (numeric) = 0.8907185633693523 " " absolute error = 1.2754403089232370000000E-7 " " relative error = 1.43192269561037600000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10960000000000028 " " y[1] (analytic) = 0.8906192903736694 " " y[1] (numeric) = 0.8906191587634351 " " absolute error = 1.31610234266332780000000E-7 " " relative error = 1.477738419646336400000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10970000000000028 " " y[1] (analytic) = 0.8905198909277626 " " y[1] (numeric) = 0.8905197551658945 " " absolute error = 1.35761868080841450000000E-7 " " relative error = 1.524523701984936400000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10980000000000029 " " y[1] (analytic) = 0.890420492576657 " " y[1] (numeric) = 0.8904203525768399 " " absolute error = 1.39999817072578030000000E-7 " " relative error = 1.572288803320924800000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10990000000000029 " " y[1] (analytic) = 0.8903210953213464 " " y[1] (numeric) = 0.8903209509963808 " " absolute error = 1.44324965645203920000000E-7 " " relative error = 1.621043985182809300000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11000000000000029 " " y[1] (analytic) = 0.8902216991628249 " " y[1] (numeric) = 0.8902215504246267 " " absolute error = 1.48738198202380540000000E-7 " " relative error = 1.67079951367457900000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1101000000000003 " " y[1] (analytic) = 0.8901223041020864 " " y[1] (numeric) = 0.8901221508616876 " " absolute error = 1.53240398814702420000000E-7 " " relative error = 1.721565655736310700000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1102000000000003 " " y[1] (analytic) = 0.8900229101401248 " " y[1] (numeric) = 0.890022752307673 " " absolute error = 1.57832451774808650000000E-7 " " relative error = 1.773352685381543400000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1103000000000003 " " y[1] (analytic) = 0.8899235172779342 " " y[1] (numeric) = 0.8899233547626931 " " absolute error = 1.62515241042271440000000E-7 " " relative error = 1.826170877463348400000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1104000000000003 " " y[1] (analytic) = 0.8898241255165084 " " y[1] (numeric) = 0.8898239582268579 " " absolute error = 1.6728965046564070000000E-7 " " relative error = 1.880030510170035700000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1105000000000003 " " y[1] (analytic) = 0.8897247348568413 " " y[1] (numeric) = 0.8897245627002773 " " absolute error = 1.72156564004488640000000E-7 " " relative error = 1.93494186752253220000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11060000000000031 " " y[1] (analytic) = 0.8896253452999269 " " y[1] (numeric) = 0.8896251681830618 " " absolute error = 1.77116865063275950000000E-7 " " relative error = 1.990915231889701400000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11070000000000031 " " y[1] (analytic) = 0.889525956846759 " " y[1] (numeric) = 0.8895257746753216 " " absolute error = 1.82171437379530230000000E-7 " " relative error = 2.047960893972129400000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11080000000000031 " " y[1] (analytic) = 0.8894265694983315 " " y[1] (numeric) = 0.8894263821771671 " " absolute error = 1.87321164468734480000000E-7 " " relative error = 2.10608914656541380000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11090000000000032 " " y[1] (analytic) = 0.8893271832556383 " " y[1] (numeric) = 0.8893269906887088 " " absolute error = 1.92566929513304790000000E-7 " " relative error = 2.16531028331280820000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11100000000000032 " " y[1] (analytic) = 0.8892277981196733 " " y[1] (numeric) = 0.8892276002100574 " " absolute error = 1.97909615917701840000000E-7 " " relative error = 2.225634604948179300000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11110000000000032 " " y[1] (analytic) = 0.8891284140914304 " " y[1] (numeric) = 0.8891282107413236 " " absolute error = 2.03350106753319440000000E-7 " " relative error = 2.287072413056508700000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11120000000000033 " " y[1] (analytic) = 0.8890290311719032 " " y[1] (numeric) = 0.8890288222826183 " " absolute error = 2.08889284980529060000000E-7 " " relative error = 2.349634012571835700000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11130000000000033 " " y[1] (analytic) = 0.8889296493620858 " " y[1] (numeric) = 0.8889294348340523 " " absolute error = 2.14528033559702180000000E-7 " " relative error = 2.41332971302793080000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11140000000000033 " " y[1] (analytic) = 0.888830268662972 " " y[1] (numeric) = 0.8888300483957366 " " absolute error = 2.202672353401880000000E-7 " " relative error = 2.478169827311644500000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11150000000000033 " " y[1] (analytic) = 0.8887308890755553 " " y[1] (numeric) = 0.8887306629677825 " " absolute error = 2.26107772838268770000000E-7 " " relative error = 2.54416466916619400000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11160000000000034 " " y[1] (analytic) = 0.8886315106008298 " " y[1] (numeric) = 0.888631278550301 " " absolute error = 2.3205052879227140000000E-7 " " relative error = 2.611324559438312000000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11170000000000034 " " y[1] (analytic) = 0.8885321332397893 " " y[1] (numeric) = 0.8885318951434036 " " absolute error = 2.38096385718478130000000E-7 " " relative error = 2.679659821084070500000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11180000000000034 " " y[1] (analytic) = 0.8884327569934273 " " y[1] (numeric) = 0.8884325127472016 " " absolute error = 2.44246225689082050000000E-7 " " relative error = 2.74918077667063100000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11190000000000035 " " y[1] (analytic) = 0.8883333818627378 " " y[1] (numeric) = 0.8883331313618066 " " absolute error = 2.50500931220365430000000E-7 " " relative error = 2.81989775837414140000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11200000000000035 " " y[1] (analytic) = 0.8882340078487144 " " y[1] (numeric) = 0.8882337509873302 " " absolute error = 2.56861384273499000000000E-7 " " relative error = 2.891821096735671000000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11210000000000035 " " y[1] (analytic) = 0.8881346349523511 " " y[1] (numeric) = 0.888134371623884 " " absolute error = 2.6332846714272050000000E-7 " " relative error = 2.964961130660648000000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11220000000000036 " " y[1] (analytic) = 0.8880352631746413 " " y[1] (numeric) = 0.88803499327158 " " absolute error = 2.69903061345111440000000E-7 " " relative error = 3.03932819492137900000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11230000000000036 " " y[1] (analytic) = 0.8879358925165789 " " y[1] (numeric) = 0.8879356159305299 " " absolute error = 2.76586048952864870000000E-7 " " relative error = 3.11493263515868760000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11240000000000036 " " y[1] (analytic) = 0.8878365229791576 " " y[1] (numeric) = 0.8878362396008459 " " absolute error = 2.83378311705106970000000E-7 " " relative error = 3.191784797884006400000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11250000000000036 " " y[1] (analytic) = 0.8877371545633711 " " y[1] (numeric) = 0.8877368642826401 " " absolute error = 2.902807310078970000000E-7 " " relative error = 3.26989503047971530000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11260000000000037 " " y[1] (analytic) = 0.8876377872702129 " " y[1] (numeric) = 0.8876374899760247 " " absolute error = 2.97294188267294150000000E-7 " " relative error = 3.3492736849517700000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11270000000000037 " " y[1] (analytic) = 0.887538421100677 " " y[1] (numeric) = 0.8875381166811118 " " absolute error = 3.04419565222424640000000E-7 " " relative error = 3.42993112168485050000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11280000000000037 " " y[1] (analytic) = 0.8874390560557568 " " y[1] (numeric) = 0.8874387443980141 " " absolute error = 3.1165774272423620000000E-7 " " relative error = 3.5118776956854497000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11290000000000038 " " y[1] (analytic) = 0.887339692136446 " " y[1] (numeric) = 0.887339373126844 " " absolute error = 3.19009602067765740000000E-7 " " relative error = 3.59512377159289400000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11300000000000038 " " y[1] (analytic) = 0.8872403293437384 " " y[1] (numeric) = 0.8872400028677141 " " absolute error = 3.26476024326005640000000E-7 " " relative error = 3.67967971617666260000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11310000000000038 " " y[1] (analytic) = 0.8871409676786275 " " y[1] (numeric) = 0.8871406336207371 " " absolute error = 3.34057890349903630000000E-7 " " relative error = 3.765555898337435400000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11320000000000038 " " y[1] (analytic) = 0.8870416071421068 " " y[1] (numeric) = 0.8870412653860259 " " absolute error = 3.41756080879385140000000E-7 " " relative error = 3.852762690359740600000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11330000000000039 " " y[1] (analytic) = 0.8869422477351702 " " y[1] (numeric) = 0.8869418981636933 " " absolute error = 3.4957147687642020000000E-7 " " relative error = 3.941310471668927300000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11340000000000039 " " y[1] (analytic) = 0.886842889458811 " " y[1] (numeric) = 0.8868425319538523 " " absolute error = 3.57504958636845060000000E-7 " " relative error = 4.03120961881996600000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11350000000000039 " " y[1] (analytic) = 0.8867435323140228 " " y[1] (numeric) = 0.8867431667566161 " " absolute error = 3.65557406678540530000000E-7 " " relative error = 4.12247051551186850000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1136000000000004 " " y[1] (analytic) = 0.8866441763017995 " " y[1] (numeric) = 0.8866438025720978 " " absolute error = 3.73729701630409750000000E-7 " " relative error = 4.21510355133938360000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1137000000000004 " " y[1] (analytic) = 0.8865448214231343 " " y[1] (numeric) = 0.8865444394004108 " " absolute error = 3.82022723455222040000000E-7 " " relative error = 4.30911911303002700000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1138000000000004 " " y[1] (analytic) = 0.8864454676790209 " " y[1] (numeric) = 0.8864450772416685 " " absolute error = 3.9043735233779130000000E-7 " " relative error = 4.40452759446187900000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1139000000000004 " " y[1] (analytic) = 0.8863461150704528 " " y[1] (numeric) = 0.8863457160959844 " " absolute error = 3.9897446835190920000000E-7 " " relative error = 4.50133939290968730000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1140000000000004 " " y[1] (analytic) = 0.8862467635984236 " " y[1] (numeric) = 0.8862463559634721 " " absolute error = 4.076349514603450000000E-7 " " relative error = 4.59956490904662600000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11410000000000041 " " y[1] (analytic) = 0.8861474132639268 " " y[1] (numeric) = 0.8861469968442452 " " absolute error = 4.16419681514845760000000E-7 " " relative error = 4.6992145469460500000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11420000000000041 " " y[1] (analytic) = 0.8860480640679558 " " y[1] (numeric) = 0.8860476387384176 " " absolute error = 4.25329538145113900000000E-7 " " relative error = 4.80029871283024500000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11430000000000042 " " y[1] (analytic) = 0.8859487160115042 " " y[1] (numeric) = 0.8859482816461032 " " absolute error = 4.34365400980851750000000E-7 " " relative error = 4.90282781757777800000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11440000000000042 " " y[1] (analytic) = 0.8858493690955653 " " y[1] (numeric) = 0.885848925567416 " " absolute error = 4.4352814931869490000000E-7 " " relative error = 5.00681227296609500000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11450000000000042 " " y[1] (analytic) = 0.885750023321133 " " y[1] (numeric) = 0.88574957050247 " " absolute error = 4.528186628993680000000E-7 " " relative error = 5.11226250044586800000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11460000000000042 " " y[1] (analytic) = 0.8856506786892002 " " y[1] (numeric) = 0.8856502164513796 " " absolute error = 4.6223782057541740000000E-7 " " relative error = 5.21918891610345200000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11470000000000043 " " y[1] (analytic) = 0.8855513352007607 " " y[1] (numeric) = 0.885550863414259 " " absolute error = 4.71786501643478600000000E-7 " " relative error = 5.32760194570223600000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11480000000000043 " " y[1] (analytic) = 0.8854519928568079 " " y[1] (numeric) = 0.8854515113912226 " " absolute error = 4.8146558528916470000000E-7 " " relative error = 5.43751201841866100000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11490000000000043 " " y[1] (analytic) = 0.8853526516583351 " " y[1] (numeric) = 0.8853521603823848 " " absolute error = 4.9127595025399984000000E-7 " " relative error = 5.548929563082026000000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11500000000000044 " " y[1] (analytic) = 0.8852533116063358 " " y[1] (numeric) = 0.8852528103878604 " " absolute error = 5.0121847539053020000000E-7 " " relative error = 5.66186501444478700000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11510000000000044 " " y[1] (analytic) = 0.8851539727018033 " " y[1] (numeric) = 0.885153461407764 " " absolute error = 5.1129403932925750000000E-7 " " relative error = 5.7763288094229200000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11520000000000044 " " y[1] (analytic) = 0.8850546349457312 " " y[1] (numeric) = 0.8850541134422103 " " absolute error = 5.2150352092272810000000E-7 " " relative error = 5.892331392114625000000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11530000000000044 " " y[1] (analytic) = 0.8849552983391127 " " y[1] (numeric) = 0.8849547664913143 " " absolute error = 5.3184779835735440000000E-7 " " relative error = 6.00988320376778700000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11540000000000045 " " y[1] (analytic) = 0.8848559628829412 " " y[1] (numeric) = 0.884855420555191 " " absolute error = 5.4232775026363810000000E-7 " " relative error = 6.12899469532515700000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11550000000000045 " " y[1] (analytic) = 0.8847566285782101 " " y[1] (numeric) = 0.8847560756339554 " " absolute error = 5.5294425471696940000000E-7 " " relative error = 6.24967631613613500000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11560000000000045 " " y[1] (analytic) = 0.8846572954259128 " " y[1] (numeric) = 0.8846567317277227 " " absolute error = 5.636981900147830000000E-7 " " relative error = 6.37193852274053900000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11570000000000046 " " y[1] (analytic) = 0.8845579634270424 " " y[1] (numeric) = 0.8845573888366084 " " absolute error = 5.7459043401042460000000E-7 " " relative error = 6.49579177134180500000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11580000000000046 " " y[1] (analytic) = 0.8844586325825924 " " y[1] (numeric) = 0.8844580469607277 " " absolute error = 5.856218646682620000000E-7 " " relative error = 6.62124652408291800000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11590000000000046 " " y[1] (analytic) = 0.884359302893556 " " y[1] (numeric) = 0.8843587061001961 " " absolute error = 5.9679335995266310000000E-7 " " relative error = 6.74831324779420400000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11600000000000046 " " y[1] (analytic) = 0.8842599743609267 " " y[1] (numeric) = 0.8842593662551292 " " absolute error = 6.0810579749492890000000E-7 " " relative error = 6.87700241022918300000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11610000000000047 " " y[1] (analytic) = 0.8841606469856976 " " y[1] (numeric) = 0.8841600274256428 " " absolute error = 6.1956005481533790000000E-7 " " relative error = 7.007324482576299000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11620000000000047 " " y[1] (analytic) = 0.8840613207688621 " " y[1] (numeric) = 0.8840606896118526 " " absolute error = 6.3115700954519130000000E-7 " " relative error = 7.13928994197233200000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11630000000000047 " " y[1] (analytic) = 0.8839619957114133 " " y[1] (numeric) = 0.8839613528138744 " " absolute error = 6.4289753887170060000000E-7 " " relative error = 7.27290926522577800000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11640000000000048 " " y[1] (analytic) = 0.8838626718143445 " " y[1] (numeric) = 0.8838620170318244 " " absolute error = 6.5478252009310010000000E-7 " " relative error = 7.40819293509701800000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11650000000000048 " " y[1] (analytic) = 0.8837633490786492 " " y[1] (numeric) = 0.8837626822658186 " " absolute error = 6.668128306186460000000E-7 " " relative error = 7.54515144030151400000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11660000000000048 " " y[1] (analytic) = 0.8836640275053202 " " y[1] (numeric) = 0.8836633485159731 " " absolute error = 6.789893471914610000000E-7 " " relative error = 7.683795266718300000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11670000000000048 " " y[1] (analytic) = 0.883564707095351 " " y[1] (numeric) = 0.8835640157824042 " " absolute error = 6.9131294677671210000000E-7 " " relative error = 7.82413490744043800000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11680000000000049 " " y[1] (analytic) = 0.8834653878497347 " " y[1] (numeric) = 0.8834646840652284 " " absolute error = 7.0378450633956650000000E-7 " " relative error = 7.9661808602655800000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11690000000000049 " " y[1] (analytic) = 0.8833660697694645 " " y[1] (numeric) = 0.883365353364562 " " absolute error = 7.1640490251212440000000E-7 " " relative error = 8.10994362392804300000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11700000000000049 " " y[1] (analytic) = 0.8832667528555337 " " y[1] (numeric) = 0.8832660236805218 " " absolute error = 7.2917501192648610000000E-7 " " relative error = 8.2554337018700100000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1171000000000005 " " y[1] (analytic) = 0.8831674371089353 " " y[1] (numeric) = 0.8831666950132243 " " absolute error = 7.4209571099270730000000E-7 " " relative error = 8.40266159972984400000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1172000000000005 " " y[1] (analytic) = 0.8830681225306625 " " y[1] (numeric) = 0.8830673673627865 " " absolute error = 7.5516787600982130000000E-7 " " relative error = 8.55163782660040300000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1173000000000005 " " y[1] (analytic) = 0.8829688091217085 " " y[1] (numeric) = 0.882968040729325 " " absolute error = 7.6839238349890590000000E-7 " " relative error = 8.70237289880293600000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1174000000000005 " " y[1] (analytic) = 0.8828694968830665 " " y[1] (numeric) = 0.882868715112957 " " absolute error = 7.81770109536950000000E-7 " " relative error = 8.85487733234590700000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1175000000000005 " " y[1] (analytic) = 0.8827701858157294 " " y[1] (numeric) = 0.8827693905137994 " " absolute error = 7.9530192997889770000000E-7 " " relative error = 9.00916164543996100000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11760000000000051 " " y[1] (analytic) = 0.8826708759206905 " " y[1] (numeric) = 0.8826700669319696 " " absolute error = 8.0898872090173770000000E-7 " " relative error = 9.16523636353021300000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11770000000000051 " " y[1] (analytic) = 0.8825715671989428 " " y[1] (numeric) = 0.8825707443675848 " " absolute error = 8.2283135804939180000000E-7 " " relative error = 9.32311201301044400000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11780000000000052 " " y[1] (analytic) = 0.8824722596514795 " " y[1] (numeric) = 0.8824714228207623 " " absolute error = 8.3683071716578180000000E-7 " " relative error = 9.48279912499772800000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11790000000000052 " " y[1] (analytic) = 0.8823729532792935 " " y[1] (numeric) = 0.8823721022916197 " " absolute error = 8.5098767388380740000000E-7 " " relative error = 9.64430823407670800000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11800000000000052 " " y[1] (analytic) = 0.882273648083378 " " y[1] (numeric) = 0.8822727827802744 " " absolute error = 8.6530310361432330000000E-7 " " relative error = 9.80764987704301200000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11810000000000052 " " y[1] (analytic) = 0.8821743440647261 " " y[1] (numeric) = 0.8821734642868443 " " absolute error = 8.7977788176818450000000E-7 " " relative error = 9.97283459542135900000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11820000000000053 " " y[1] (analytic) = 0.8820750412243307 " " y[1] (numeric) = 0.882074146811447 " " absolute error = 8.9441288364522360000000E-7 " " relative error = 1.01398729342094070000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11830000000000053 " " y[1] (analytic) = 0.8819757395631849 " " y[1] (numeric) = 0.8819748303542004 " " absolute error = 9.092089844342510000000E-7 " " relative error = 1.03087754418795460000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11840000000000053 " " y[1] (analytic) = 0.8818764390822816 " " y[1] (numeric) = 0.8818755149152225 " " absolute error = 9.2416705910203230000000E-7 " " relative error = 1.04795526691217670000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11850000000000054 " " y[1] (analytic) = 0.8817771397826141 " " y[1] (numeric) = 0.8817762004946315 " " absolute error = 9.3928798261533330000000E-7 " " relative error = 1.06522151713628850000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11860000000000054 " " y[1] (analytic) = 0.881677841665175 " " y[1] (numeric) = 0.8816768870925453 " " absolute error = 9.545726297188750000000E-7 " " relative error = 1.08267735062506250000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11870000000000054 " " y[1] (analytic) = 0.8815785447309576 " " y[1] (numeric) = 0.8815775747090825 " " absolute error = 9.7002187515737860000000E-7 " " relative error = 1.10032382361734110000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11880000000000054 " " y[1] (analytic) = 0.8814792489809548 " " y[1] (numeric) = 0.8814782633443612 " " absolute error = 9.8563659356454280000000E-7 " " relative error = 1.11816199270033920000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11890000000000055 " " y[1] (analytic) = 0.8813799544161595 " " y[1] (numeric) = 0.8813789529985 " " absolute error = 1.0014176594630442000000E-6 " " relative error = 1.13619291480982180000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11900000000000055 " " y[1] (analytic) = 0.8812806610375645 " " y[1] (numeric) = 0.8812796436716174 " " absolute error = 1.0173659471535146000000E-6 " " relative error = 1.15441764710430810000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11910000000000055 " " y[1] (analytic) = 0.881181368846163 " " y[1] (numeric) = 0.8811803353638321 " " absolute error = 1.033482330936585900000E-6 " " relative error = 1.17283724721716360000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11920000000000056 " " y[1] (analytic) = 0.8810820778429478 " " y[1] (numeric) = 0.8810810280752629 " " absolute error = 1.0497676848908455000000E-6 " " relative error = 1.1914527730048390000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11930000000000056 " " y[1] (analytic) = 0.8809827880289118 " " y[1] (numeric) = 0.8809817218060286 " " absolute error = 1.0662228832059029000000E-6 " " relative error = 1.21026528292504140000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11940000000000056 " " y[1] (analytic) = 0.880883499405048 " " y[1] (numeric) = 0.8808824165562483 " " absolute error = 1.0828487996272784000000E-6 " " relative error = 1.22927583540688260000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11950000000000056 " " y[1] (analytic) = 0.8807842119723491 " " y[1] (numeric) = 0.880783112326041 " " absolute error = 1.0996463081225372000000E-6 " " relative error = 1.24848548960713980000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11960000000000057 " " y[1] (analytic) = 0.8806849257318081 " " y[1] (numeric) = 0.8806838091155258 " " absolute error = 1.1166162823261772000000E-6 " " relative error = 1.26789530478033430000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11970000000000057 " " y[1] (analytic) = 0.8805856406844179 " " y[1] (numeric) = 0.880584506924822 " " absolute error = 1.1337595958726965000000E-6 " " relative error = 1.28750634065700200000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11980000000000057 " " y[1] (analytic) = 0.8804863568311713 " " y[1] (numeric) = 0.8804852057540491 " " absolute error = 1.1510771221745486000000E-6 " " relative error = 1.30731965719176030000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11990000000000058 " " y[1] (analytic) = 0.8803870741730611 " " y[1] (numeric) = 0.8803859056033263 " " absolute error = 1.1685697347552093000000E-6 " " relative error = 1.3273363149417380000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12000000000000058 " " y[1] (analytic) = 0.88028779271108 " " y[1] (numeric) = 0.8802866064727733 " " absolute error = 1.1862383066940652000000E-6 " " relative error = 1.34755737443629560000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12010000000000058 " " y[1] (analytic) = 0.8801885124462212 " " y[1] (numeric) = 0.8801873083625099 " " absolute error = 1.2040837112925473000000E-6 " " relative error = 1.36798389693380120000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12020000000000058 " " y[1] (analytic) = 0.8800892333794772 " " y[1] (numeric) = 0.8800880112726557 " " absolute error = 1.22210682151902000000E-6 " " relative error = 1.38861694379128000000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12030000000000059 " " y[1] (analytic) = 0.8799899555118408 " " y[1] (numeric) = 0.8799887152033306 " " absolute error = 1.2403085102308253000000E-6 " " relative error = 1.4094575767167790000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12040000000000059 " " y[1] (analytic) = 0.8798906788443049 " " y[1] (numeric) = 0.8798894201546544 " " absolute error = 1.2586896505073497000000E-6 " " relative error = 1.4305068581480818000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12050000000000059 " " y[1] (analytic) = 0.8797914033778622 " " y[1] (numeric) = 0.8797901261267475 " " absolute error = 1.277251114761846000000E-6 " " relative error = 1.451765850243570000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1206000000000006 " " y[1] (analytic) = 0.8796921291135055 " " y[1] (numeric) = 0.8796908331197297 " " absolute error = 1.2959937757406337000000E-6 " " relative error = 1.47323561601790050000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1207000000000006 " " y[1] (analytic) = 0.8795928560522275 " " y[1] (numeric) = 0.8795915411337215 " " absolute error = 1.314918505967988000000E-6 " " relative error = 1.4949172187113718000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1208000000000006 " " y[1] (analytic) = 0.8794935841950209 " " y[1] (numeric) = 0.8794922501688432 " " absolute error = 1.334026177635117000000E-6 " " relative error = 1.51681172166380130000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1209000000000006 " " y[1] (analytic) = 0.8793943135428784 " " y[1] (numeric) = 0.8793929602252153 " " absolute error = 1.3533176631552735000000E-6 " " relative error = 1.53892018894580540000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12100000000000061 " " y[1] (analytic) = 0.8792950440967929 " " y[1] (numeric) = 0.8792936713029582 " " absolute error = 1.3727938347196655000000E-6 " " relative error = 1.56124368485414580000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12110000000000061 " " y[1] (analytic) = 0.8791957758577569 " " y[1] (numeric) = 0.8791943834021927 " " absolute error = 1.3924555641864345000000E-6 " " relative error = 1.5837832737855610000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12120000000000061 " " y[1] (analytic) = 0.8790965088267632 " " y[1] (numeric) = 0.8790950965230395 " " absolute error = 1.412303723635766000000E-6 " " relative error = 1.60654002086826370000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12130000000000062 " " y[1] (analytic) = 0.8789972430048043 " " y[1] (numeric) = 0.8789958106656195 " " absolute error = 1.4323391848147793000000E-6 " " relative error = 1.62951499133080960000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12140000000000062 " " y[1] (analytic) = 0.878897978392873 " " y[1] (numeric) = 0.8788965258300536 " " absolute error = 1.4525628193595708000000E-6 " " relative error = 1.65270925075477420000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12150000000000062 " " y[1] (analytic) = 0.8787987149919619 " " y[1] (numeric) = 0.8787972420164629 " " absolute error = 1.4729754990172594000000E-6 " " relative error = 1.67612386532760480000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12160000000000062 " " y[1] (analytic) = 0.8786994528030637 " " y[1] (numeric) = 0.8786979592249685 " " absolute error = 1.4935780952018973000000E-6 " " relative error = 1.69975990133755280000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12170000000000063 " " y[1] (analytic) = 0.878600191827171 " " y[1] (numeric) = 0.8785986774556916 " " absolute error = 1.5143714793275365000000E-6 " " relative error = 1.72361842555280000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12180000000000063 " " y[1] (analytic) = 0.8785009320652764 " " y[1] (numeric) = 0.8784993967087538 " " absolute error = 1.5353565225861843000000E-6 " " relative error = 1.74770050496895870000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12190000000000063 " " y[1] (analytic) = 0.8784016735183724 " " y[1] (numeric) = 0.8784001169842762 " " absolute error = 1.5565340961698482000000E-6 " " relative error = 1.77200720706196630000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12200000000000064 " " y[1] (analytic) = 0.8783024161874516 " " y[1] (numeric) = 0.8783008382823806 " " absolute error = 1.577905071048491000000E-6 " " relative error = 1.7965395995355280000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12210000000000064 " " y[1] (analytic) = 0.8782031600735067 " " y[1] (numeric) = 0.8782015606031885 " " absolute error = 1.5994703181920755000000E-6 " " relative error = 1.82129875057406740000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12220000000000064 " " y[1] (analytic) = 0.8781039051775302 " " y[1] (numeric) = 0.8781022839468218 " " absolute error = 1.6212307084595423000000E-6 " " relative error = 1.84628572871654740000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12230000000000064 " " y[1] (analytic) = 0.8780046515005147 " " y[1] (numeric) = 0.8780030083134022 " " absolute error = 1.6431871124877873000000E-6 " " relative error = 1.87150160273020400000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12240000000000065 " " y[1] (analytic) = 0.8779053990434527 " " y[1] (numeric) = 0.8779037337030516 " " absolute error = 1.6653404010247286000000E-6 " " relative error = 1.89694744199004640000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12250000000000065 " " y[1] (analytic) = 0.8778061478073366 " " y[1] (numeric) = 0.8778044601158923 " " absolute error = 1.687691444263173000000E-6 " " relative error = 1.92262431572032270000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12260000000000065 " " y[1] (analytic) = 0.877706897793159 " " y[1] (numeric) = 0.8777051875520463 " " absolute error = 1.710241112728994000000E-6 " " relative error = 1.94853329400634430000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12270000000000066 " " y[1] (analytic) = 0.8776076490019126 " " y[1] (numeric) = 0.8776059160116358 " " absolute error = 1.7329902767260208000000E-6 " " relative error = 1.97467544716243030000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12280000000000066 " " y[1] (analytic) = 0.8775084014345895 " " y[1] (numeric) = 0.8775066454947832 " " absolute error = 1.7559398063360376000000E-6 " " relative error = 2.00105184573201760000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12290000000000066 " " y[1] (analytic) = 0.8774091550921825 " " y[1] (numeric) = 0.8774073760016109 " " absolute error = 1.779090571640829000000E-6 " " relative error = 2.02766356074084250000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12300000000000066 " " y[1] (analytic) = 0.877309909975684 " " y[1] (numeric) = 0.8773081075322414 " " absolute error = 1.8024434426111569000000E-6 " " relative error = 2.05451166357064670000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12310000000000067 " " y[1] (analytic) = 0.8772106660860863 " " y[1] (numeric) = 0.8772088400867974 " " absolute error = 1.8259992888847165000000E-6 " " relative error = 2.08159722570623600000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12320000000000067 " " y[1] (analytic) = 0.877111423424382 " " y[1] (numeric) = 0.8771095736654018 " " absolute error = 1.8497589802102254000000E-6 " " relative error = 2.10892131924182820000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12330000000000067 " " y[1] (analytic) = 0.8770121819915635 " " y[1] (numeric) = 0.8770103082681772 " " absolute error = 1.8737233863364010000000E-6 " " relative error = 2.13648501675479080000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12340000000000068 " " y[1] (analytic) = 0.8769129417886231 " " y[1] (numeric) = 0.8769110438952465 " " absolute error = 1.8978933765678718000000E-6 " " relative error = 2.1642893907994720000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12350000000000068 " " y[1] (analytic) = 0.8768137028165532 " " y[1] (numeric) = 0.876811780546733 " " absolute error = 1.922269820209265800000E-6 " " relative error = 2.19233551441365030000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12360000000000068 " " y[1] (analytic) = 0.8767144650763464 " " y[1] (numeric) = 0.8767125182227598 " " absolute error = 1.9468535866762338000000E-6 " " relative error = 2.2206244612454262000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12370000000000068 " " y[1] (analytic) = 0.876615228568995 " " y[1] (numeric) = 0.8766132569234498 " " absolute error = 1.9716455451623816000000E-6 " " relative error = 2.24915730517360160000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12380000000000069 " " y[1] (analytic) = 0.8765159932954911 " " y[1] (numeric) = 0.8765139966489267 " " absolute error = 1.996646564417226000000E-6 " " relative error = 2.2779351200544680000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12390000000000069 " " y[1] (analytic) = 0.8764167592568275 " " y[1] (numeric) = 0.8764147373993137 " " absolute error = 2.0218575137453954000000E-6 " " relative error = 2.3069589808618720000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12400000000000069 " " y[1] (analytic) = 0.8763175264539962 " " y[1] (numeric) = 0.8763154791747346 " " absolute error = 2.0472792615633395000000E-6 " " relative error = 2.33622996204083670000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1241000000000007 " " y[1] (analytic) = 0.8762182948879896 " " y[1] (numeric) = 0.8762162219753128 " " absolute error = 2.07291267684261980000E-6 " " relative error = 2.3657491391544253000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1242000000000007 " " y[1] (analytic) = 0.8761190645598 " " y[1] (numeric) = 0.876116965801172 " " absolute error = 2.098758627999686200000E-6 " " relative error = 2.39551758761714970000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1243000000000007 " " y[1] (analytic) = 0.87601983547042 " " y[1] (numeric) = 0.8760177106524363 " " absolute error = 2.124817983673033000000E-6 " " relative error = 2.42553638358201370000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1244000000000007 " " y[1] (analytic) = 0.8759206076208415 " " y[1] (numeric) = 0.8759184565292294 " " absolute error = 2.1510916120570656000000E-6 " " relative error = 2.4558066031804168000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12450000000000071 " " y[1] (analytic) = 0.8758213810120569 " " y[1] (numeric) = 0.8758192034316754 " " absolute error = 2.1775803814572114000000E-6 " " relative error = 2.4863293231559438000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12460000000000071 " " y[1] (analytic) = 0.8757221556450584 " " y[1] (numeric) = 0.8757199513598984 " " absolute error = 2.2042851599568536000000E-6 " " relative error = 2.5171056204843570000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12470000000000071 " " y[1] (analytic) = 0.8756229315208385 " " y[1] (numeric) = 0.8756207003140227 " " absolute error = 2.2312068157503973000000E-6 " " relative error = 2.54813657275408830000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12480000000000072 " " y[1] (analytic) = 0.8755237086403892 " " y[1] (numeric) = 0.8755214502941726 " " absolute error = 2.2583462165881585000000E-6 " " relative error = 2.57942325753253500000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12490000000000072 " " y[1] (analytic) = 0.8754244870047029 " " y[1] (numeric) = 0.8754222013004724 " " absolute error = 2.285704230442498000000E-6 " " relative error = 2.61096675312695370000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12500000000000072 " " y[1] (analytic) = 0.8753252666147716 " " y[1] (numeric) = 0.8753229533330468 " " absolute error = 2.313281724841687000000E-6 " " relative error = 2.64276813782385270000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1251000000000007 " " y[1] (analytic) = 0.8752260474715877 " " y[1] (numeric) = 0.8752237063920203 " " absolute error = 2.3410795674250195000000E-6 " " relative error = 2.6748284905232067000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1252000000000007 " " y[1] (analytic) = 0.8751268295761433 " " y[1] (numeric) = 0.8751244604775177 " " absolute error = 2.3690986256097446000000E-6 " " relative error = 2.70714889035819860000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1253000000000007 " " y[1] (analytic) = 0.8750276129294307 " " y[1] (numeric) = 0.8750252155896638 " " absolute error = 2.3973397668131113000000E-6 " " relative error = 2.7397304169490850000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12540000000000068 " " y[1] (analytic) = 0.8749283975324419 " " y[1] (numeric) = 0.8749259717285836 " " absolute error = 2.4258038583413466000000E-6 " " relative error = 2.7725741502765650000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12550000000000067 " " y[1] (analytic) = 0.8748291833861691 " " y[1] (numeric) = 0.8748267288944019 " " absolute error = 2.4544917671676103000000E-6 " " relative error = 2.8056811704281510000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12560000000000066 " " y[1] (analytic) = 0.8747299704916045 " " y[1] (numeric) = 0.8747274870872441 " " absolute error = 2.4834043603760847000000E-6 " " relative error = 2.8390525581058960000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12570000000000064 " " y[1] (analytic) = 0.8746307588497402 " " y[1] (numeric) = 0.8746282463072352 " " absolute error = 2.5125425049399297000000E-6 " " relative error = 2.87268939437285400000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12580000000000063 " " y[1] (analytic) = 0.8745315484615683 " " y[1] (numeric) = 0.8745290065545007 " " absolute error = 2.5419070676102606000000E-6 " " relative error = 2.90659276052631250000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12590000000000062 " " y[1] (analytic) = 0.874432339328081 " " y[1] (numeric) = 0.8744297678291659 " " absolute error = 2.5714989150271705000000E-6 " " relative error = 2.9407637382248764000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1260000000000006 " " y[1] (analytic) = 0.8743331314502701 " " y[1] (numeric) = 0.8743305301313563 " " absolute error = 2.6013189138307524000000E-6 " " relative error = 2.97520340961562770000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1261000000000006 " " y[1] (analytic) = 0.874233924829128 " " y[1] (numeric) = 0.8742312934611975 " " absolute error = 2.6313679304390547000000E-6 " " relative error = 3.00991285708040230000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1262000000000006 " " y[1] (analytic) = 0.8741347194656467 " " y[1] (numeric) = 0.8741320578188154 " " absolute error = 2.661646831270126000000E-6 " " relative error = 3.0448931634899190000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12630000000000058 " " y[1] (analytic) = 0.8740355153608181 " " y[1] (numeric) = 0.8740328232043357 " " absolute error = 2.6921564824089470000000E-6 " " relative error = 3.0801454118229680000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12640000000000057 " " y[1] (analytic) = 0.8739363125156345 " " y[1] (numeric) = 0.8739335896178843 " " absolute error = 2.7228977502735674000000E-6 " " relative error = 3.1156706859286787000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12650000000000056 " " y[1] (analytic) = 0.8738371109310876 " " y[1] (numeric) = 0.8738343570595871 " " absolute error = 2.7538715005048786000000E-6 " " relative error = 3.15147006925648100000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12660000000000055 " " y[1] (analytic) = 0.8737379106081697 " " y[1] (numeric) = 0.8737351255295704 " " absolute error = 2.7850785992988847000000E-6 " " relative error = 3.1875446463806484000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12670000000000053 " " y[1] (analytic) = 0.8736387115478726 " " y[1] (numeric) = 0.8736358950279605 " " absolute error = 2.8165199121854556000000E-6 " " relative error = 3.22389550160303240000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12680000000000052 " " y[1] (analytic) = 0.8735395137511885 " " y[1] (numeric) = 0.8735366655548834 " " absolute error = 2.8481963051385506000000E-6 " " relative error = 3.2605237202238413000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1269000000000005 " " y[1] (analytic) = 0.8734403172191092 " " y[1] (numeric) = 0.8734374371104657 " " absolute error = 2.880108643465995000000E-6 " " relative error = 3.2974303872710947000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1270000000000005 " " y[1] (analytic) = 0.8733411219526268 " " y[1] (numeric) = 0.8733382096948339 " " absolute error = 2.9122577929197035000000E-6 " " relative error = 3.3346165887716840000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1271000000000005 " " y[1] (analytic) = 0.873241927952733 " " y[1] (numeric) = 0.8732389833081146 " " absolute error = 2.9446446184744346000000E-6 " " relative error = 3.3720834103534053000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12720000000000048 " " y[1] (analytic) = 0.8731427352204201 " " y[1] (numeric) = 0.8731397579504344 " " absolute error = 2.977269985660058000000E-6 " " relative error = 3.4098319387705410000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12730000000000047 " " y[1] (analytic) = 0.8730435437566798 " " y[1] (numeric) = 0.8730405336219204 " " absolute error = 3.010134759451333000000E-6 " " relative error = 3.4478632606328140000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12740000000000046 " " y[1] (analytic) = 0.872944353562504 " " y[1] (numeric) = 0.8729413103226992 " " absolute error = 3.043239804823017000000E-6 " " relative error = 3.4861784630411920000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12750000000000045 " " y[1] (analytic) = 0.8728451646388847 " " y[1] (numeric) = 0.8728420880528979 " " absolute error = 3.0765859868608914000000E-6 " " relative error = 3.5247786337153430000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12760000000000044 " " y[1] (analytic) = 0.8727459769868138 " " y[1] (numeric) = 0.8727428668126437 " " absolute error = 3.1101741700956254000000E-6 " " relative error = 3.5636648602307070000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12770000000000042 " " y[1] (analytic) = 0.8726467906072831 " " y[1] (numeric) = 0.8726436466020637 " " absolute error = 3.144005219390955000000E-6 " " relative error = 3.6028382310361934000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1278000000000004 " " y[1] (analytic) = 0.8725476055012844 " " y[1] (numeric) = 0.8725444274212852 " " absolute error = 3.1780799991665276000000E-6 " " relative error = 3.6422998345639830000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1279000000000004 " " y[1] (analytic) = 0.8724484216698098 " " y[1] (numeric) = 0.8724452092704357 " " absolute error = 3.2123993741750567000000E-6 " " relative error = 3.68205076012027450000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1280000000000004 " " y[1] (analytic) = 0.8723492391138509 " " y[1] (numeric) = 0.8723459921496426 " " absolute error = 3.246964208281078000000E-6 " " relative error = 3.7220920964858140000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12810000000000038 " " y[1] (analytic) = 0.8722500578343996 " " y[1] (numeric) = 0.8722467760590336 " " absolute error = 3.2817753660152604000000E-6 " " relative error = 3.76242493369753350000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12820000000000037 " " y[1] (analytic) = 0.8721508778324477 " " y[1] (numeric) = 0.8721475609987362 " " absolute error = 3.3168337114641844000000E-6 " " relative error = 3.8030503617762730000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12830000000000036 " " y[1] (analytic) = 0.872051699108987 " " y[1] (numeric) = 0.8720483469688785 " " absolute error = 3.3521401086034075000000E-6 " " relative error = 3.843969471108690000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12840000000000035 " " y[1] (analytic) = 0.8719525216650095 " " y[1] (numeric) = 0.8719491339695882 " " absolute error = 3.3876954212974650000000E-6 " " relative error = 3.88518335244744550000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12850000000000034 " " y[1] (analytic) = 0.8718533455015066 " " y[1] (numeric) = 0.8718499220009933 " " absolute error = 3.423500513299871000000E-6 " " relative error = 3.92669309691139450000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12860000000000033 " " y[1] (analytic) = 0.8717541706194702 " " y[1] (numeric) = 0.871750711063222 " " absolute error = 3.459556248253115000000E-6 " " relative error = 3.9684997959857740000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12870000000000031 " " y[1] (analytic) = 0.8716549970198922 " " y[1] (numeric) = 0.8716515011564023 " " absolute error = 3.495863489910711000000E-6 " " relative error = 4.0106045417771310000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1288000000000003 " " y[1] (analytic) = 0.8715558247037642 " " y[1] (numeric) = 0.8715522922806628 " " absolute error = 3.5324231014710605000000E-6 " " relative error = 4.0530084262493530000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1289000000000003 " " y[1] (analytic) = 0.871456653672078 " " y[1] (numeric) = 0.8714530844361316 " " absolute error = 3.569235946465632000000E-6 " " relative error = 4.09571254224275650000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12900000000000028 " " y[1] (analytic) = 0.8713574839258252 " " y[1] (numeric) = 0.8713538776229373 " " absolute error = 3.606302887981805000000E-6 " " relative error = 4.1387179825826720000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12910000000000027 " " y[1] (analytic) = 0.8712583154659976 " " y[1] (numeric) = 0.8712546718412085 " " absolute error = 3.6436247891069584000000E-6 " " relative error = 4.18202584058913030000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12920000000000026 " " y[1] (analytic) = 0.8711591482935869 " " y[1] (numeric) = 0.8711554670910739 " " absolute error = 3.681202512928472000000E-6 " " relative error = 4.22563721007711950000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12930000000000025 " " y[1] (analytic) = 0.8710599824095846 " " y[1] (numeric) = 0.8710562633726624 " " absolute error = 3.719036922200658000000E-6 " " relative error = 4.26955318497448170000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12940000000000024 " " y[1] (analytic) = 0.8709608178149826 " " y[1] (numeric) = 0.8709570606861027 " " absolute error = 3.7571288798998737000000E-6 " " relative error = 4.31377485995931200000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12950000000000023 " " y[1] (analytic) = 0.8708616545107722 " " y[1] (numeric) = 0.8708578590315239 " " absolute error = 3.795479248336342000000E-6 " " relative error = 4.3583033294404780000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12960000000000022 " " y[1] (analytic) = 0.8707624924979455 " " y[1] (numeric) = 0.8707586584090551 " " absolute error = 3.834088890375398000000E-6 " " relative error = 4.4031396889599540000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1297000000000002 " " y[1] (analytic) = 0.8706633317774937 " " y[1] (numeric) = 0.8706594588188253 " " absolute error = 3.872958668327264300000E-6 " " relative error = 4.4482850339182950000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1298000000000002 " " y[1] (analytic) = 0.8705641723504087 " " y[1] (numeric) = 0.870560260260964 " " absolute error = 3.912089444724209400000E-6 " " relative error = 4.4937404604672420000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12990000000000018 " " y[1] (analytic) = 0.8704650142176819 " " y[1] (numeric) = 0.8704610627356005 " " absolute error = 3.951482081321344700000E-6 " " relative error = 4.53950706436224040000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13000000000000017 " " y[1] (analytic) = 0.870365857380305 " " y[1] (numeric) = 0.8703618662428644 " " absolute error = 3.991137440650938000000E-6 " " relative error = 4.5855859427480006000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13010000000000016 " " y[1] (analytic) = 0.8702667018392695 " " y[1] (numeric) = 0.8702626707828851 " " absolute error = 4.031056384357079000000E-6 " " relative error = 4.6319781922456910000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13020000000000015 " " y[1] (analytic) = 0.870167547595567 " " y[1] (numeric) = 0.8701634763557924 " " absolute error = 4.071239774638968400000E-6 " " relative error = 4.6786849106112410000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13030000000000014 " " y[1] (analytic) = 0.870068394650189 " " y[1] (numeric) = 0.870064282961716 " " absolute error = 4.111688473029673000000E-6 " " relative error = 4.72570719533235930000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13040000000000013 " " y[1] (analytic) = 0.869969243004127 " " y[1] (numeric) = 0.8699650906007859 " " absolute error = 4.152403341173283000000E-6 " " relative error = 4.77304614452166800000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13050000000000012 " " y[1] (analytic) = 0.8698700926583727 " " y[1] (numeric) = 0.869865899273132 " " absolute error = 4.193385240713887000000E-6 " " relative error = 4.82070285678941100000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1306000000000001 " " y[1] (analytic) = 0.8697709436139174 " " y[1] (numeric) = 0.8697667089788844 " " absolute error = 4.234635032962508000000E-6 " " relative error = 4.8686784308607810000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1307000000000001 " " y[1] (analytic) = 0.8696717958717526 " " y[1] (numeric) = 0.8696675197181734 " " absolute error = 4.276153579230168600000E-6 " " relative error = 4.9169739659589440000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13080000000000008 " " y[1] (analytic) = 0.8695726494328699 " " y[1] (numeric) = 0.869568331491129 " " absolute error = 4.317941740938913000000E-6 " " relative error = 4.9655905619329777000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13090000000000007 " " y[1] (analytic) = 0.8694735042982608 " " y[1] (numeric) = 0.8694691442978818 " " absolute error = 4.360000378955675000000E-6 " " relative error = 5.0145293184920770000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13100000000000006 " " y[1] (analytic) = 0.8693743604689165 " " y[1] (numeric) = 0.8693699581385622 " " absolute error = 4.40233035425841000000E-6 " " relative error = 5.0637913359716690000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13110000000000005 " " y[1] (analytic) = 0.8692752179458286 " " y[1] (numeric) = 0.8692707730133008 " " absolute error = 4.444932527825074000000E-6 " " relative error = 5.1133777152060410000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13120000000000004 " " y[1] (analytic) = 0.8691760767299886 " " y[1] (numeric) = 0.8691715889222282 " " absolute error = 4.487807760411577400000E-6 " " relative error = 5.1632895572731270000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13130000000000003 " " y[1] (analytic) = 0.8690769368223878 " " y[1] (numeric) = 0.8690724058654753 " " absolute error = 4.530956912551787000000E-6 " " relative error = 5.2135279634946430000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13140000000000002 " " y[1] (analytic) = 0.8689777982240177 " " y[1] (numeric) = 0.8689732238431729 " " absolute error = 4.574380844779568600000E-6 " " relative error = 5.2640940356917140000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1315 " " y[1] (analytic) = 0.8688786609358695 " " y[1] (numeric) = 0.868874042855452 " " absolute error = 4.618080417517767000000E-6 " " relative error = 5.3149888760573670000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1316 " " y[1] (analytic) = 0.8687795249589348 " " y[1] (numeric) = 0.8687748629024437 " " absolute error = 4.662056491189226000000E-6 " " relative error = 5.3662135872845200000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13169999999999998 " " y[1] (analytic) = 0.8686803902942049 " " y[1] (numeric) = 0.8686756839842791 " " absolute error = 4.7063099257727004000E-6 " " relative error = 5.4177692720550150000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13179999999999997 " " y[1] (analytic) = 0.8685812569426709 " " y[1] (numeric) = 0.8685765061010895 " " absolute error = 4.750841581357967400000E-6 " " relative error = 5.4696570336787020000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13189999999999996 " " y[1] (analytic) = 0.8684821249053244 " " y[1] (numeric) = 0.8684773292530062 " " absolute error = 4.795652318145826600000E-6 " " relative error = 5.5218779760937660000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13199999999999995 " " y[1] (analytic) = 0.8683829941831567 " " y[1] (numeric) = 0.8683781534401608 " " absolute error = 4.840742995892988000000E-6 " " relative error = 5.574433203227830000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13209999999999994 " " y[1] (analytic) = 0.868283864777159 " " y[1] (numeric) = 0.8682789786626848 " " absolute error = 4.88611447424514000000E-6 " " relative error = 5.6273238193815090000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13219999999999993 " " y[1] (analytic) = 0.8681847366883226 " " y[1] (numeric) = 0.8681798049207098 " " absolute error = 4.93176761284797040000E-6 " " relative error = 5.680550929356490000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13229999999999992 " " y[1] (analytic) = 0.8680856099176391 " " y[1] (numeric) = 0.8680806322143677 " " absolute error = 4.977703271347167000000E-6 " " relative error = 5.7341156384557910000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1323999999999999 " " y[1] (analytic) = 0.8679864844660992 " " y[1] (numeric) = 0.8679814605437903 " " absolute error = 5.023922308833306000000E-6 " " relative error = 5.7880190518444930000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1324999999999999 " " y[1] (analytic) = 0.8678873603346946 " " y[1] (numeric) = 0.8678822899091095 " " absolute error = 5.070425585063099000000E-6 " " relative error = 5.8422622759567840000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13259999999999988 " " y[1] (analytic) = 0.8677882375244164 " " y[1] (numeric) = 0.8677831203104576 " " absolute error = 5.1172139587940530000000E-6 " " relative error = 5.8968464165776090000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13269999999999987 " " y[1] (analytic) = 0.8676891160362558 " " y[1] (numeric) = 0.8676839517479664 " " absolute error = 5.164288289338792000000E-6 " " relative error = 5.9517725806335990000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13279999999999986 " " y[1] (analytic) = 0.867589995871204 " " y[1] (numeric) = 0.8675847842217684 " " absolute error = 5.211649435565846000000E-6 " " relative error = 6.0070418750420100000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13289999999999985 " " y[1] (analytic) = 0.8674908770302523 " " y[1] (numeric) = 0.867485617731996 " " absolute error = 5.259298256343747000000E-6 " " relative error = 6.0626554072226150000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13299999999999984 " " y[1] (analytic) = 0.8673917595143917 " " y[1] (numeric) = 0.8673864522787814 " " absolute error = 5.307235610318983000000E-6 " " relative error = 6.1186142848419880000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13309999999999983 " " y[1] (analytic) = 0.8672926433246136 " " y[1] (numeric) = 0.8672872878622575 " " absolute error = 5.355462356138041000000E-6 " " relative error = 6.1749196160696340000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13319999999999982 " " y[1] (analytic) = 0.8671935284619091 " " y[1] (numeric) = 0.8671881244825568 " " absolute error = 5.4039793523363850000000E-6 " " relative error = 6.2315725094502380000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1332999999999998 " " y[1] (analytic) = 0.8670944149272692 " " y[1] (numeric) = 0.8670889621398119 " " absolute error = 5.452787457338459000000E-6 " " relative error = 6.2885740739038580000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1333999999999998 " " y[1] (analytic) = 0.8669953027216852 " " y[1] (numeric) = 0.8669898008341559 " " absolute error = 5.501887529346661000000E-6 " " relative error = 6.3459254185980580000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13349999999999979 " " y[1] (analytic) = 0.8668961918461483 " " y[1] (numeric) = 0.8668906405657216 " " absolute error = 5.55128042667441000000E-6 " " relative error = 6.4036276533322440000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13359999999999977 " " y[1] (analytic) = 0.8667970823016493 " " y[1] (numeric) = 0.8667914813346421 " " absolute error = 5.600967007191038000000E-6 " " relative error = 6.4616818878975820000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13369999999999976 " " y[1] (analytic) = 0.8666979740891796 " " y[1] (numeric) = 0.8666923231410506 " " absolute error = 5.6509481289879200000000E-6 " " relative error = 6.520089232845561000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13379999999999975 " " y[1] (analytic) = 0.8665988672097301 " " y[1] (numeric) = 0.8665931659850803 " " absolute error = 5.7012246498233670000000E-6 " " relative error = 6.578850798847840000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13389999999999974 " " y[1] (analytic) = 0.866499761664292 " " y[1] (numeric) = 0.8664940098668645 " " absolute error = 5.751797427455685000000E-6 " " relative error = 6.6379676970806880000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13399999999999973 " " y[1] (analytic) = 0.8664006574538562 " " y[1] (numeric) = 0.8663948547865368 " " absolute error = 5.80266731942114000000E-6 " " relative error = 6.6974410389689540000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13409999999999972 " " y[1] (analytic) = 0.8663015545794138 " " y[1] (numeric) = 0.8662957007442307 " " absolute error = 5.853835183144973000000E-6 " " relative error = 6.7572719363143560000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1341999999999997 " " y[1] (analytic) = 0.8662024530419559 " " y[1] (numeric) = 0.8661965477400797 " " absolute error = 5.905301876163449000000E-6 " " relative error = 6.8174615015520120000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1342999999999997 " " y[1] (analytic) = 0.8661033528424735 " " y[1] (numeric) = 0.8660973957742177 " " absolute error = 5.957068255790787000000E-6 " " relative error = 6.8780108473662220000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1343999999999997 " " y[1] (analytic) = 0.8660042539819576 " " y[1] (numeric) = 0.8659982448467786 " " absolute error = 6.0091351790081400000000E-6 " " relative error = 6.9389210865623940000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13449999999999968 " " y[1] (analytic) = 0.8659051564613991 " " y[1] (numeric) = 0.8658990949578962 " " absolute error = 6.061503502907684000000E-6 " " relative error = 7.000193332579949000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13459999999999966 " " y[1] (analytic) = 0.865806060281789 " " y[1] (numeric) = 0.8657999461077046 " " absolute error = 6.114174084359547000000E-6 " " relative error = 7.0618286991079760000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13469999999999965 " " y[1] (analytic) = 0.8657069654441183 " " y[1] (numeric) = 0.865700798296338 " " absolute error = 6.167147780344884000000E-6 " " relative error = 7.123828300470080000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13479999999999964 " " y[1] (analytic) = 0.8656078719493779 " " y[1] (numeric) = 0.8656016515239305 " " absolute error = 6.220425447400757000000E-6 " " relative error = 7.186193250983439000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13489999999999963 " " y[1] (analytic) = 0.8655087797985589 " " y[1] (numeric) = 0.8655025057906166 " " absolute error = 6.274007942286275000000E-6 " " relative error = 7.2489246657284130000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13499999999999962 " " y[1] (analytic) = 0.865409688992652 " " y[1] (numeric) = 0.8654033610965307 " " absolute error = 6.327896121316456000000E-6 " " relative error = 7.312023659779230000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1350999999999996 " " y[1] (analytic) = 0.8653105995326483 " " y[1] (numeric) = 0.8653042174418073 " " absolute error = 6.382090841028365000000E-6 " " relative error = 7.3754913489737830000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1351999999999996 " " y[1] (analytic) = 0.8652115114195386 " " y[1] (numeric) = 0.865205074826581 " " absolute error = 6.436592957514975000000E-6 " " relative error = 7.4393288491441370000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1352999999999996 " " y[1] (analytic) = 0.8651124246543137 " " y[1] (numeric) = 0.8651059332509866 " " absolute error = 6.491403327091305000000E-6 " " relative error = 7.5035372768864980000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13539999999999958 " " y[1] (analytic) = 0.8650133392379646 " " y[1] (numeric) = 0.865006792715159 " " absolute error = 6.546522805628285000000E-6 " " relative error = 7.5681177487915490000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13549999999999957 " " y[1] (analytic) = 0.8649142551714821 " " y[1] (numeric) = 0.864907653219233 " " absolute error = 6.6019522491078670000000E-6 " " relative error = 7.633071382086230000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13559999999999955 " " y[1] (analytic) = 0.864815172455857 " " y[1] (numeric) = 0.8648085147633437 " " absolute error = 6.657692513289959000000E-6 " " relative error = 7.6983992942489550000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13569999999999954 " " y[1] (analytic) = 0.8647160910920804 " " y[1] (numeric) = 0.8647093773476263 " " absolute error = 6.713744454045489000000E-6 " " relative error = 7.7641026033949080000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13579999999999953 " " y[1] (analytic) = 0.8646170110811426 " " y[1] (numeric) = 0.864610240972216 " " absolute error = 6.770108926690277000000E-6 " " relative error = 7.8301824275059460000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13589999999999952 " " y[1] (analytic) = 0.8645179324240349 " " y[1] (numeric) = 0.864511105637248 " " absolute error = 6.826786786873207000000E-6 " " relative error = 7.8966398854578720000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1359999999999995 " " y[1] (analytic) = 0.8644188551217478 " " y[1] (numeric) = 0.8644119713428579 " " absolute error = 6.883778889910097000000E-6 " " relative error = 7.9634760962503090000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1360999999999995 " " y[1] (analytic) = 0.864319779175272 " " y[1] (numeric) = 0.8643128380891811 " " absolute error = 6.941086090894721000000E-6 " " relative error = 8.0306921791352020000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1361999999999995 " " y[1] (analytic) = 0.8642207045855986 " " y[1] (numeric) = 0.8642137058763534 " " absolute error = 6.99870924525392000000E-6 " " relative error = 8.0982892542592610000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13629999999999948 " " y[1] (analytic) = 0.8641216313537181 " " y[1] (numeric) = 0.8641145747045104 " " absolute error = 7.0566492077484000000E-6 " " relative error = 8.1662684415081410000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13639999999999947 " " y[1] (analytic) = 0.8640225594806212 " " y[1] (numeric) = 0.864015444573788 " " absolute error = 7.11490683324989000000E-6 " " relative error = 8.2346308614057280000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13649999999999946 " " y[1] (analytic) = 0.8639234889672989 " " y[1] (numeric) = 0.863916315484322 " " absolute error = 7.1734829768521640000000E-6 " " relative error = 8.303377635242990000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13659999999999944 " " y[1] (analytic) = 0.8638244198147416 " " y[1] (numeric) = 0.8638171874362486 " " absolute error = 7.2323784929828600000000E-6 " " relative error = 8.3725098840502080000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13669999999999943 " " y[1] (analytic) = 0.8637253520239401 " " y[1] (numeric) = 0.8637180604297038 " " absolute error = 7.291594236291665000000E-6 " " relative error = 8.4420287296251120000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13679999999999942 " " y[1] (analytic) = 0.863626285595885 " " y[1] (numeric) = 0.8636189344648239 " " absolute error = 7.351131061095195000000E-6 " " relative error = 8.511935293890530000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1368999999999994 " " y[1] (analytic) = 0.863527220531567 " " y[1] (numeric) = 0.8635198095417451 " " absolute error = 7.410989821932112000000E-6 " " relative error = 8.5822306995372790000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1369999999999994 " " y[1] (analytic) = 0.863428156831977 " " y[1] (numeric) = 0.863420685660604 " " absolute error = 7.471171373008012000000E-6 " " relative error = 8.6529160693816720000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1370999999999994 " " y[1] (analytic) = 0.8633290944981054 " " y[1] (numeric) = 0.863321562821537 " " absolute error = 7.531676568306445000000E-6 " " relative error = 8.7239925264941640000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13719999999999938 " " y[1] (analytic) = 0.8632300335309427 " " y[1] (numeric) = 0.8632224410246808 " " absolute error = 7.592506261921983000000E-6 " " relative error = 8.795461194585310000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13729999999999937 " " y[1] (analytic) = 0.8631309739314798 " " y[1] (numeric) = 0.8631233202701721 " " absolute error = 7.653661307616133000000E-6 " " relative error = 8.8673231974916070000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13739999999999936 " " y[1] (analytic) = 0.863031915700707 " " y[1] (numeric) = 0.8630242005581477 " " absolute error = 7.715142559372445000000E-6 " " relative error = 8.9395796598187440000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13749999999999934 " " y[1] (analytic) = 0.8629328588396152 " " y[1] (numeric) = 0.8629250818887444 " " absolute error = 7.776950870841404000000E-6 " " relative error = 9.012231706298750000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13759999999999933 " " y[1] (analytic) = 0.8628338033491948 " " y[1] (numeric) = 0.8628259642620995 " " absolute error = 7.839087095340425000000E-6 " " relative error = 9.0852804617900350000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13769999999999932 " " y[1] (analytic) = 0.8627347492304362 " " y[1] (numeric) = 0.8627268476783498 " " absolute error = 7.90155208640896900000E-6 " " relative error = 9.1587270519208750000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1377999999999993 " " y[1] (analytic) = 0.8626356964843304 " " y[1] (numeric) = 0.8626277321376328 " " absolute error = 7.9643466975865000000E-6 " " relative error = 9.2325726028324300000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1378999999999993 " " y[1] (analytic) = 0.8625366451118675 " " y[1] (numeric) = 0.8625286176400856 " " absolute error = 8.027471781857365000000E-6 " " relative error = 9.3068182405354330000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1379999999999993 " " y[1] (analytic) = 0.8624375951140381 " " y[1] (numeric) = 0.8624295041858457 " " absolute error = 8.090928192316937000000E-6 " " relative error = 9.3814650916824800000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13809999999999928 " " y[1] (analytic) = 0.8623385464918327 " " y[1] (numeric) = 0.8623303917750507 " " absolute error = 8.15471678206058900000E-6 " " relative error = 9.4565142834396340000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13819999999999927 " " y[1] (analytic) = 0.8622394992462419 " " y[1] (numeric) = 0.862231280407838 " " absolute error = 8.218838403850626000000E-6 " " relative error = 9.5319669431004070000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13829999999999926 " " y[1] (analytic) = 0.8621404533782561 " " y[1] (numeric) = 0.8621321700843455 " " absolute error = 8.283293910560374000000E-6 " " relative error = 9.6078241986009160000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13839999999999925 " " y[1] (analytic) = 0.8620414088888657 " " y[1] (numeric) = 0.862033060804711 " " absolute error = 8.348084154730095000000E-6 " " relative error = 9.6840871780050760000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13849999999999923 " " y[1] (analytic) = 0.8619423657790614 " " y[1] (numeric) = 0.8619339525690722 " " absolute error = 8.413209989122095000000E-6 " " relative error = 9.7607570101486620000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13859999999999922 " " y[1] (analytic) = 0.8618433240498332 " " y[1] (numeric) = 0.8618348453775674 " " absolute error = 8.478672265832543000000E-6 " " relative error = 9.8378348236091840000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1386999999999992 " " y[1] (analytic) = 0.8617442837021719 " " y[1] (numeric) = 0.8617357392303345 " " absolute error = 8.544471837401701000000E-6 " " relative error = 9.9153217479940530000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1387999999999992 " " y[1] (analytic) = 0.8616452447370677 " " y[1] (numeric) = 0.8616366341275118 " " absolute error = 8.610609555925741000000E-6 " " relative error = 9.993218912910361000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1388999999999992 " " y[1] (analytic) = 0.8615462071555111 " " y[1] (numeric) = 0.8615375300692375 " " absolute error = 8.677086273611856000000E-6 " " relative error = 1.0071527448609174000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13899999999999918 " " y[1] (analytic) = 0.8614471709584925 " " y[1] (numeric) = 0.8614384270556501 " " absolute error = 8.743902842445195000000E-6 " " relative error = 1.0150248485599248000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13909999999999917 " " y[1] (analytic) = 0.8613481361470021 " " y[1] (numeric) = 0.8613393250868882 " " absolute error = 8.811060113966818000000E-6 " " relative error = 1.0229383154389361000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13919999999999916 " " y[1] (analytic) = 0.8612491027220304 " " y[1] (numeric) = 0.8612402241630902 " " absolute error = 8.878558940161874000000E-6 " " relative error = 1.0308932586519563000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13929999999999915 " " y[1] (analytic) = 0.8611500706845676 " " y[1] (numeric) = 0.8611411242843949 " " absolute error = 8.946400172682445000000E-6 " " relative error = 1.038889791365928000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13939999999999914 " " y[1] (analytic) = 0.8610510400356041 " " y[1] (numeric) = 0.8610420254509411 " " absolute error = 9.014584662958569000000E-6 " " relative error = 1.0469280267736301000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13949999999999912 " " y[1] (analytic) = 0.8609520107761301 " " y[1] (numeric) = 0.8609429276628677 " " absolute error = 9.083113262420284000000E-6 " " relative error = 1.0550080781194816000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1395999999999991 " " y[1] (analytic) = 0.8608529829071362 " " y[1] (numeric) = 0.8608438309203137 " " absolute error = 9.151986822497626000000E-6 " " relative error = 1.0631300586995689000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1396999999999991 " " y[1] (analytic) = 0.8607539564296123 " " y[1] (numeric) = 0.8607447352234181 " " absolute error = 9.221206194176546000000E-6 " " relative error = 1.0712940818100793000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1397999999999991 " " y[1] (analytic) = 0.860654931344549 " " y[1] (numeric) = 0.8606456405723202 " " absolute error = 9.290772228776056000000E-6 " " relative error = 1.079500260837598000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13989999999999908 " " y[1] (analytic) = 0.8605559076529362 " " y[1] (numeric) = 0.8605465469671593 " " absolute error = 9.36068577694904000000E-6 " " relative error = 1.0877487091430466000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13999999999999907 " " y[1] (analytic) = 0.8604568853557645 " " y[1] (numeric) = 0.8604474544080748 " " absolute error = 9.430947689681446000000E-6 " " relative error = 1.096039540177789000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14009999999999906 " " y[1] (analytic) = 0.8603578644540237 " " y[1] (numeric) = 0.8603483628952061 " " absolute error = 9.501558817626155000000E-6 " " relative error = 1.1043728674062588000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14019999999999905 " " y[1] (analytic) = 0.8602588449487045 " " y[1] (numeric) = 0.8602492724286929 " " absolute error = 9.572520011658092000000E-6 " " relative error = 1.1127488043704895000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14029999999999904 " " y[1] (analytic) = 0.8601598268407967 " " y[1] (numeric) = 0.8601501830086749 " " absolute error = 9.643832121875029000000E-6 " " relative error = 1.1211674645739954000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14039999999999903 " " y[1] (analytic) = 0.8600608101312908 " " y[1] (numeric) = 0.8600510946352917 " " absolute error = 9.715495999040868000000E-6 " " relative error = 1.129628961649557000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14049999999999901 " " y[1] (analytic) = 0.8599617948211766 " " y[1] (numeric) = 0.8599520073086835 " " absolute error = 9.787512493142358000000E-6 " " relative error = 1.1381334091914638000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.140599999999999 " " y[1] (analytic) = 0.8598627809114445 " " y[1] (numeric) = 0.85985292102899 " " absolute error = 9.859882454499314000000E-6 " " relative error = 1.1466809208846035000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.140699999999999 " " y[1] (analytic) = 0.8597637684030848 " " y[1] (numeric) = 0.8597538357963515 " " absolute error = 9.932606733320526000000E-6 " " relative error = 1.1552716104528613000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14079999999999898 " " y[1] (analytic) = 0.8596647572970871 " " y[1] (numeric) = 0.859654751610908 " " absolute error = 1.000568617914865400000E-5 " " relative error = 1.1639055915945663000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14089999999999897 " " y[1] (analytic) = 0.859565747594442 " " y[1] (numeric) = 0.8595556684728 " " absolute error = 1.007912164208146800000E-5 " " relative error = 1.172582978124550900E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14099999999999896 " " y[1] (analytic) = 0.8594667392961394 " " y[1] (numeric) = 0.8594565863821676 " " absolute error = 1.015291397177264800000E-5 " " relative error = 1.1813038838579583000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14109999999999895 " " y[1] (analytic) = 0.8593677324031694 " " y[1] (numeric) = 0.8593575053391516 " " absolute error = 1.022706401787587500000E-5 " " relative error = 1.1900684226619161000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14119999999999894 " " y[1] (analytic) = 0.8592687269165221 " " y[1] (numeric) = 0.8592584253438923 " " absolute error = 1.030157262982278600000E-5 " " relative error = 1.198876708429723000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14129999999999893 " " y[1] (analytic) = 0.8591697228371875 " " y[1] (numeric) = 0.8591593463965306 " " absolute error = 1.037644065693399400000E-5 " " relative error = 1.207728855093783000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14139999999999892 " " y[1] (analytic) = 0.8590707201661556 " " y[1] (numeric) = 0.8590602684972072 " " absolute error = 1.04516689484190900000E-5 " " relative error = 1.2166249766256264000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1414999999999989 " " y[1] (analytic) = 0.8589717189044166 " " y[1] (numeric) = 0.8589611916460629 " " absolute error = 1.052725835370971200000E-5 " " relative error = 1.225565187074703900E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1415999999999989 " " y[1] (analytic) = 0.8588727190529604 " " y[1] (numeric) = 0.8588621158432388 " " absolute error = 1.06032097215713600000E-5 " " relative error = 1.2345496004650182000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14169999999999888 " " y[1] (analytic) = 0.858773720612777 " " y[1] (numeric) = 0.8587630410888759 " " absolute error = 1.067952390110260600000E-5 " " relative error = 1.2435783309114586000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14179999999999887 " " y[1] (analytic) = 0.8586747235848564 " " y[1] (numeric) = 0.8586639673831155 " " absolute error = 1.075620174095792700000E-5 " " relative error = 1.2526514925293444000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14189999999999886 " " y[1] (analytic) = 0.8585757279701886 " " y[1] (numeric) = 0.8585648947260986 " " absolute error = 1.083324408990282700000E-5 " " relative error = 1.2617691994990776000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14199999999999885 " " y[1] (analytic) = 0.8584767337697634 " " y[1] (numeric) = 0.8584658231179669 " " absolute error = 1.091065179648076400000E-5 " " relative error = 1.2709315660273810000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14209999999999884 " " y[1] (analytic) = 0.8583777409845709 " " y[1] (numeric) = 0.8583667525588617 " " absolute error = 1.098842570912417200000E-5 " " relative error = 1.280138706360244000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14219999999999883 " " y[1] (analytic) = 0.858278749615601 " " y[1] (numeric) = 0.8582676830489246 " " absolute error = 1.10665666763765100000E-5 " " relative error = 1.2893907348088154000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14229999999999882 " " y[1] (analytic) = 0.8581797596638436 " " y[1] (numeric) = 0.8581686145882973 " " absolute error = 1.114507554633714600000E-5 " " relative error = 1.2986877656847520000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1423999999999988 " " y[1] (analytic) = 0.8580807711302887 " " y[1] (numeric) = 0.8580695471771215 " " absolute error = 1.122395316721647200000E-5 " " relative error = 1.3080299133649106000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1424999999999988 " " y[1] (analytic) = 0.857981784015926 " " y[1] (numeric) = 0.8579704808155391 " " absolute error = 1.13032003868918100000E-5 " " relative error = 1.3174172922396216000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14259999999999878 " " y[1] (analytic) = 0.8578827983217454 " " y[1] (numeric) = 0.8578714155036921 " " absolute error = 1.138281805335150700000E-5 " " relative error = 1.326850016764461000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14269999999999877 " " y[1] (analytic) = 0.8577838140487368 " " y[1] (numeric) = 0.8577723512417226 " " absolute error = 1.146280701425084200000E-5 " " relative error = 1.3363282014085145000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14279999999999876 " " y[1] (analytic) = 0.8576848311978902 " " y[1] (numeric) = 0.8576732880297726 " " absolute error = 1.154316811757816200000E-5 " " relative error = 1.345851960732048000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14289999999999875 " " y[1] (analytic) = 0.8575858497701953 " " y[1] (numeric) = 0.8575742258679846 " " absolute error = 1.162390221065567900000E-5 " " relative error = 1.355421409270046000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14299999999999874 " " y[1] (analytic) = 0.8574868697666418 " " y[1] (numeric) = 0.8574751647565008 " " absolute error = 1.17050101410276500000E-5 " " relative error = 1.3650366616357723000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14309999999999873 " " y[1] (analytic) = 0.8573878911882196 " " y[1] (numeric) = 0.8573761046954637 " " absolute error = 1.178649275590526500000E-5 " " relative error = 1.3746978324560702000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14319999999999872 " " y[1] (analytic) = 0.8572889140359186 " " y[1] (numeric) = 0.8572770456850158 " " absolute error = 1.186835090272175800000E-5 " " relative error = 1.384405036436118000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1432999999999987 " " y[1] (analytic) = 0.8571899383107283 " " y[1] (numeric) = 0.8571779877253 " " absolute error = 1.195058542835525400000E-5 " " relative error = 1.3941583882688097000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1433999999999987 " " y[1] (analytic) = 0.8570909640136387 " " y[1] (numeric) = 0.8570789308164588 " " absolute error = 1.203319717990591900000E-5 " " relative error = 1.4039580027254187000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14349999999999868 " " y[1] (analytic) = 0.8569919911456394 " " y[1] (numeric) = 0.8569798749586351 " " absolute error = 1.211618700425187700000E-5 " " relative error = 1.4138039946038214000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14359999999999867 " " y[1] (analytic) = 0.8568930197077202 " " y[1] (numeric) = 0.8568808201519721 " " absolute error = 1.219955574816022900000E-5 " " relative error = 1.4236964787414658000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14369999999999866 " " y[1] (analytic) = 0.8567940497008709 " " y[1] (numeric) = 0.8567817663966125 " " absolute error = 1.228330425839807600000E-5 " " relative error = 1.4336355700283512000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14379999999999865 " " y[1] (analytic) = 0.8566950811260811 " " y[1] (numeric) = 0.8566827136926998 " " absolute error = 1.236743338128842900000E-5 " " relative error = 1.443621383355217000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14389999999999864 " " y[1] (analytic) = 0.8565961139843403 " " y[1] (numeric) = 0.856583662040377 " " absolute error = 1.245194396337634400000E-5 " " relative error = 1.4536540336913065000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14399999999999863 " " y[1] (analytic) = 0.8564971482766386 " " y[1] (numeric) = 0.8564846114397875 " " absolute error = 1.253683685109585600000E-5 " " relative error = 1.463733636045523000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14409999999999862 " " y[1] (analytic) = 0.8563981840039652 " " y[1] (numeric) = 0.8563855618910748 " " absolute error = 1.262211289032588700000E-5 " " relative error = 1.473860305414595200E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1441999999999986 " " y[1] (analytic) = 0.85629922116731 " " y[1] (numeric) = 0.8562865133943826 " " absolute error = 1.270777292750047000000E-5 " " relative error = 1.4840341569127194000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1442999999999986 " " y[1] (analytic) = 0.8562002597676628 " " y[1] (numeric) = 0.8561874659498542 " " absolute error = 1.279381780860955300000E-5 " " relative error = 1.4942553056549254000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14439999999999859 " " y[1] (analytic) = 0.8561012998060128 " " y[1] (numeric) = 0.8560884195576336 " " absolute error = 1.288024837919898900000E-5 " " relative error = 1.5045238667570732000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14449999999999857 " " y[1] (analytic) = 0.8560023412833498 " " y[1] (numeric) = 0.8559893742178646 " " absolute error = 1.296706548525872200000E-5 " " relative error = 1.5148399554396108000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14459999999999856 " " y[1] (analytic) = 0.8559033842006635 " " y[1] (numeric) = 0.8558903299306911 " " absolute error = 1.305426997233461000000E-5 " " relative error = 1.52520368692386000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14469999999999855 " " y[1] (analytic) = 0.8558044285589432 " " y[1] (numeric) = 0.8557912866962573 " " absolute error = 1.314186268597250500000E-5 " " relative error = 1.5356151764839066000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14479999999999854 " " y[1] (analytic) = 0.8557054743591788 " " y[1] (numeric) = 0.8556922445147072 " " absolute error = 1.322984447160724400000E-5 " " relative error = 1.5460745394336547000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14489999999999853 " " y[1] (analytic) = 0.8556065216023595 " " y[1] (numeric) = 0.855593203386185 " " absolute error = 1.331821617445161400000E-5 " " relative error = 1.5565818911138704000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14499999999999852 " " y[1] (analytic) = 0.855507570289475 " " y[1] (numeric) = 0.8554941633108353 " " absolute error = 1.340697863971840300000E-5 " " relative error = 1.5671373469181496000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1450999999999985 " " y[1] (analytic) = 0.8554086204215149 " " y[1] (numeric) = 0.8553951242888023 " " absolute error = 1.349613271262040000000E-5 " " relative error = 1.5777410222929467000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1451999999999985 " " y[1] (analytic) = 0.8553096719994685 " " y[1] (numeric) = 0.8552960863202306 " " absolute error = 1.358567923792630700000E-5 " " relative error = 1.5883930326856807000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14529999999999849 " " y[1] (analytic) = 0.8552107250243255 " " y[1] (numeric) = 0.8551970494052648 " " absolute error = 1.367561906073788700000E-5 " " relative error = 1.5990934936356066000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14539999999999847 " " y[1] (analytic) = 0.8551117794970751 " " y[1] (numeric) = 0.8550980135440497 " " absolute error = 1.376595302537975000000E-5 " " relative error = 1.6098425206440323000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14549999999999846 " " y[1] (analytic) = 0.855012835418707 " " y[1] (numeric) = 0.8549989787367301 " " absolute error = 1.385668197684264400000E-5 " " relative error = 1.6206402293430963000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14559999999999845 " " y[1] (analytic) = 0.8549138927902105 " " y[1] (numeric) = 0.854899944983451 " " absolute error = 1.394780675945117600000E-5 " " relative error = 1.6314867353400073000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14569999999999844 " " y[1] (analytic) = 0.854814951612575 " " y[1] (numeric) = 0.8548009122843574 " " absolute error = 1.403932821764097800000E-5 " " relative error = 1.6423821543079392000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14579999999999843 " " y[1] (analytic) = 0.8547160118867901 " " y[1] (numeric) = 0.8547018806395944 " " absolute error = 1.413124719573666300000E-5 " " relative error = 1.6533266019600895000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14589999999999842 " " y[1] (analytic) = 0.854617073613845 " " y[1] (numeric) = 0.8546028500493074 " " absolute error = 1.42235645376187500000E-5 " " relative error = 1.6643201940107277000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1459999999999984 " " y[1] (analytic) = 0.8545181367947292 " " y[1] (numeric) = 0.8545038205136415 " " absolute error = 1.43162810877228700000E-5 " " relative error = 1.6753630462921235000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1460999999999984 " " y[1] (analytic) = 0.854419201430432 " " y[1] (numeric) = 0.8544047920327422 " " absolute error = 1.440939768981852600000E-5 " " relative error = 1.6864552746116812000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1461999999999984 " " y[1] (analytic) = 0.8543202675219429 " " y[1] (numeric) = 0.8543057646067551 " " absolute error = 1.450291518778623600000E-5 " " relative error = 1.6975969948428896000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14629999999999838 " " y[1] (analytic) = 0.854221335070251 " " y[1] (numeric) = 0.8542067382358258 " " absolute error = 1.459683442517345500000E-5 " " relative error = 1.7087883228733702000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14639999999999836 " " y[1] (analytic) = 0.8541224040763458 " " y[1] (numeric) = 0.8541077129201001 " " absolute error = 1.469115624563866000000E-5 " " relative error = 1.7200293746568776000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14649999999999835 " " y[1] (analytic) = 0.8540234745412165 " " y[1] (numeric) = 0.8540086886597238 " " absolute error = 1.478588149272930300000E-5 " " relative error = 1.7313202661873330000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14659999999999834 " " y[1] (analytic) = 0.8539245464658526 " " y[1] (numeric) = 0.8539096654548427 " " absolute error = 1.488101100988181700000E-5 " " relative error = 1.7426611134988482000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14669999999999833 " " y[1] (analytic) = 0.8538256198512431 " " y[1] (numeric) = 0.853810643305603 " " absolute error = 1.497654564008854500000E-5 " " relative error = 1.7540520326267348000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14679999999999832 " " y[1] (analytic) = 0.8537266946983775 " " y[1] (numeric) = 0.8537116222121507 " " absolute error = 1.50724862267859200000E-5 " " relative error = 1.7654931397115378000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1468999999999983 " " y[1] (analytic) = 0.8536277710082448 " " y[1] (numeric) = 0.853612602174632 " " absolute error = 1.51688336128552600000E-5 " " relative error = 1.7769845508820437000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1469999999999983 " " y[1] (analytic) = 0.8535288487818345 " " y[1] (numeric) = 0.8535135831931933 " " absolute error = 1.526558864128890700000E-5 " " relative error = 1.7885263823333117000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1470999999999983 " " y[1] (analytic) = 0.8534299280201357 " " y[1] (numeric) = 0.853414565267981 " " absolute error = 1.53627521547461400000E-5 " " relative error = 1.8001187502746765000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14719999999999828 " " y[1] (analytic) = 0.8533310087241376 " " y[1] (numeric) = 0.8533155483991416 " " absolute error = 1.546032499599725400000E-5 " " relative error = 1.8117617709817954000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14729999999999827 " " y[1] (analytic) = 0.8532320908948294 " " y[1] (numeric) = 0.8532165325868217 " " absolute error = 1.555830800770152700000E-5 " " relative error = 1.8234555607706585000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14739999999999825 " " y[1] (analytic) = 0.8531331745332004 " " y[1] (numeric) = 0.8531175178311682 " " absolute error = 1.565670203218516600000E-5 " " relative error = 1.8352002359715850000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14749999999999824 " " y[1] (analytic) = 0.8530342596402395 " " y[1] (numeric) = 0.8530185041323277 " " absolute error = 1.57555079117743800000E-5 " " relative error = 1.8469959129682720000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14759999999999823 " " y[1] (analytic) = 0.852935346216936 " " y[1] (numeric) = 0.8529194914904472 " " absolute error = 1.58547264887953800000E-5 " " relative error = 1.8588427081978237000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14769999999999822 " " y[1] (analytic) = 0.8528364342642791 " " y[1] (numeric) = 0.8528204799056738 " " absolute error = 1.595435860535232600000E-5 " " relative error = 1.8707407381247443000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1477999999999982 " " y[1] (analytic) = 0.852737523783258 " " y[1] (numeric) = 0.8527214693781544 " " absolute error = 1.605440510354938500000E-5 " " relative error = 1.8826901192669887000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1478999999999982 " " y[1] (analytic) = 0.8526386147748615 " " y[1] (numeric) = 0.8526224599080364 " " absolute error = 1.615486682504663200000E-5 " " relative error = 1.8946909681439084000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1479999999999982 " " y[1] (analytic) = 0.8525397072400788 " " y[1] (numeric) = 0.852523451495467 " " absolute error = 1.625574461172618600000E-5 " " relative error = 1.906743401354384000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14809999999999818 " " y[1] (analytic) = 0.8524408011798991 " " y[1] (numeric) = 0.8524244441405938 " " absolute error = 1.635703930524812200000E-5 " " relative error = 1.918847535524773000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14819999999999817 " " y[1] (analytic) = 0.8523418965953113 " " y[1] (numeric) = 0.8523254378435641 " " absolute error = 1.645875174727251500000E-5 " " relative error = 1.9310034873349735000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14829999999999816 " " y[1] (analytic) = 0.8522429934873047 " " y[1] (numeric) = 0.8522264326045256 " " absolute error = 1.656088277912637400000E-5 " " relative error = 1.9432113734793727000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14839999999999814 " " y[1] (analytic) = 0.8521440918568681 " " y[1] (numeric) = 0.852127428423626 " " absolute error = 1.666343324213670500000E-5 " " relative error = 1.9554713107059374000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14849999999999813 " " y[1] (analytic) = 0.8520451917049905 " " y[1] (numeric) = 0.8520284253010131 " " absolute error = 1.676640397740847300000E-5 " " relative error = 1.967783415790183000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14859999999999812 " " y[1] (analytic) = 0.8519462930326611 " " y[1] (numeric) = 0.8519294232368347 " " absolute error = 1.686979582637970800000E-5 " " relative error = 1.980147805600343300E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1486999999999981 " " y[1] (analytic) = 0.8518473958408687 " " y[1] (numeric) = 0.8518304222312391 " " absolute error = 1.69736096296002610000E-5 " " relative error = 1.99256459695406000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1487999999999981 " " y[1] (analytic) = 0.8517485001306023 " " y[1] (numeric) = 0.851731422284374 " " absolute error = 1.70778462282861200000E-5 " " relative error = 2.005033906800833800E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1488999999999981 " " y[1] (analytic) = 0.851649605902851 " " y[1] (numeric) = 0.8516324233963879 " " absolute error = 1.718250646309815700000E-5 " " relative error = 2.0175558520787001E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14899999999999808 " " y[1] (analytic) = 0.8515507131586035 " " y[1] (numeric) = 0.851533425567429 " " absolute error = 1.728759117458622500000E-5 " " relative error = 2.030130549766373000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14909999999999807 " " y[1] (analytic) = 0.851451821898849 " " y[1] (numeric) = 0.8514344287976456 " " absolute error = 1.7393101203411200000E-5 " " relative error = 2.0427581169093403000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14919999999999806 " " y[1] (analytic) = 0.8513529321245763 " " y[1] (numeric) = 0.8513354330871865 " " absolute error = 1.749903738978986200000E-5 " " relative error = 2.0554386705547018000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14929999999999805 " " y[1] (analytic) = 0.8512540438367742 " " y[1] (numeric) = 0.8512364384362 " " absolute error = 1.760540057416104500000E-5 " " relative error = 2.0681723278294156000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14939999999999803 " " y[1] (analytic) = 0.8511551570364316 " " y[1] (numeric) = 0.8511374448448349 " " absolute error = 1.771219159674153300000E-5 " " relative error = 2.08095920588817000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14949999999999802 " " y[1] (analytic) = 0.8510562717245376 " " y[1] (numeric) = 0.85103845231324 " " absolute error = 1.781941129752606700000E-5 " " relative error = 2.0937994219133957000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.149599999999998 " " y[1] (analytic) = 0.8509573879020806 " " y[1] (numeric) = 0.8509394608415642 " " absolute error = 1.792706051639836300000E-5 " " relative error = 2.1066930931283280000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.149699999999998 " " y[1] (analytic) = 0.85085850557005 " " y[1] (numeric) = 0.8508404704299566 " " absolute error = 1.803514009346418600000E-5 " " relative error = 2.119640336836167000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.149799999999998 " " y[1] (analytic) = 0.8507596247294342 " " y[1] (numeric) = 0.8507414810785661 " " absolute error = 1.814365086816316400000E-5 " " relative error = 2.1326412703157321000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14989999999999798 " " y[1] (analytic) = 0.8506607453812223 " " y[1] (numeric) = 0.8506424927875419 " " absolute error = 1.825259368037901500000E-5 " " relative error = 2.1456960109519507000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14999999999999797 " " y[1] (analytic) = 0.8505618675264028 " " y[1] (numeric) = 0.8505435055570334 " " absolute error = 1.836196936944034500000E-5 " " relative error = 2.1588046761184437000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15009999999999796 " " y[1] (analytic) = 0.8504629911659647 " " y[1] (numeric) = 0.85044451938719 " " absolute error = 1.847177877467576200000E-5 " " relative error = 2.17196738324279000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15019999999999795 " " y[1] (analytic) = 0.8503641163008966 " " y[1] (numeric) = 0.8503455342781612 " " absolute error = 1.858202273541387200000E-5 " " relative error = 2.1851842498065532000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15029999999999794 " " y[1] (analytic) = 0.8502652429321874 " " y[1] (numeric) = 0.8502465502300964 " " absolute error = 1.869270209098328200000E-5 " " relative error = 2.1984553933453105000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15039999999999792 " " y[1] (analytic) = 0.8501663710608257 " " y[1] (numeric) = 0.8501475672431454 " " absolute error = 1.88038176802685100000E-5 " " relative error = 2.2117809313964473000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1504999999999979 " " y[1] (analytic) = 0.8500675006878003 " " y[1] (numeric) = 0.8500485853174581 " " absolute error = 1.891537034226509200000E-5 " " relative error = 2.2251609815644555000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1505999999999979 " " y[1] (analytic) = 0.8499686318141 " " y[1] (numeric) = 0.8499496044531842 " " absolute error = 1.902736091574652700000E-5 " " relative error = 2.2385956614817845000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1506999999999979 " " y[1] (analytic) = 0.8498697644407134 " " y[1] (numeric) = 0.8498506246504738 " " absolute error = 1.913979023959733200000E-5 " " relative error = 2.2520850888480473000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15079999999999788 " " y[1] (analytic) = 0.849770898568629 " " y[1] (numeric) = 0.8497516459094769 " " absolute error = 1.92526591520358900000E-5 " " relative error = 2.2656293813386000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15089999999999787 " " y[1] (analytic) = 0.8496720341988357 " " y[1] (numeric) = 0.8496526682303438 " " absolute error = 1.936596849194671700000E-5 " " relative error = 2.279228656761321000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15099999999999786 " " y[1] (analytic) = 0.849573171332322 " " y[1] (numeric) = 0.8495536916132246 " " absolute error = 1.947971909743717600000E-5 " " relative error = 2.2928830328868074000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15109999999999785 " " y[1] (analytic) = 0.8494743099700767 " " y[1] (numeric) = 0.8494547160582697 " " absolute error = 1.959391180694769500000E-5 " " relative error = 2.3065926275790383000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15119999999999784 " " y[1] (analytic) = 0.8493754501130881 " " y[1] (numeric) = 0.8493557415656298 " " absolute error = 1.97085474583635900000E-5 " " relative error = 2.3203575586908642000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15129999999999783 " " y[1] (analytic) = 0.8492765917623453 " " y[1] (numeric) = 0.8492567681354553 " " absolute error = 1.982362689001426800000E-5 " " relative error = 2.3341779441816468000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15139999999999781 " " y[1] (analytic) = 0.8491777349188363 " " y[1] (numeric) = 0.8491577957678969 " " absolute error = 1.993915093945197700000E-5 " " relative error = 2.348053901973507000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1514999999999978 " " y[1] (analytic) = 0.8490788795835501 " " y[1] (numeric) = 0.8490588244631053 " " absolute error = 2.00551204447840800000E-5 " " relative error = 2.361985550108203000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1515999999999978 " " y[1] (analytic) = 0.848980025757475 " " y[1] (numeric) = 0.8489598542212315 " " absolute error = 2.017153624345180400000E-5 " " relative error = 2.3759730066033538000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15169999999999778 " " y[1] (analytic) = 0.8488811734415997 " " y[1] (numeric) = 0.8488608850424264 " " absolute error = 2.028839917334046600000E-5 " " relative error = 2.3900163895832047000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15179999999999777 " " y[1] (analytic) = 0.8487823226369127 " " y[1] (numeric) = 0.8487619169268411 " " absolute error = 2.040571007155822500000E-5 " " relative error = 2.404115817134809000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15189999999999776 " " y[1] (analytic) = 0.8486834733444024 " " y[1] (numeric) = 0.8486629498746268 " " absolute error = 2.052346977565733300000E-5 " " relative error = 2.418271407451897700E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15199999999999775 " " y[1] (analytic) = 0.8485846255650574 " " y[1] (numeric) = 0.8485639838859346 " " absolute error = 2.06416791228569700000E-5 " " relative error = 2.4324832787433595000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15209999999999774 " " y[1] (analytic) = 0.8484857792998661 " " y[1] (numeric) = 0.848465018960916 " " absolute error = 2.076033895015427800000E-5 " " relative error = 2.4467515492463307000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15219999999999773 " " y[1] (analytic) = 0.8483869345498172 " " y[1] (numeric) = 0.8483660550997224 " " absolute error = 2.087945009476843700000E-5 " " relative error = 2.461076337278553200E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15229999999999771 " " y[1] (analytic) = 0.8482880913158988 " " y[1] (numeric) = 0.8482670923025055 " " absolute error = 2.099901339325249700000E-5 " " relative error = 2.475457761133718000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1523999999999977 " " y[1] (analytic) = 0.8481892495990994 " " y[1] (numeric) = 0.8481681305694169 " " absolute error = 2.111902968249257400000E-5 " " relative error = 2.489895939199251200E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1524999999999977 " " y[1] (analytic) = 0.8480904094004076 " " y[1] (numeric) = 0.8480691699006082 " " absolute error = 2.123949979937478400000E-5 " " relative error = 2.504390989917092000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15259999999999768 " " y[1] (analytic) = 0.8479915707208117 " " y[1] (numeric) = 0.8479702102962315 " " absolute error = 2.13604245801191080000E-5 " " relative error = 2.5189430317051710000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15269999999999767 " " y[1] (analytic) = 0.8478927335613 " " y[1] (numeric) = 0.8478712517564387 " " absolute error = 2.148180486127859700000E-5 " " relative error = 2.5335521830752344000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15279999999999766 " " y[1] (analytic) = 0.8477938979228611 " " y[1] (numeric) = 0.8477722942813818 " " absolute error = 2.160364147929527700000E-5 " " relative error = 2.5482185625805180000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15289999999999765 " " y[1] (analytic) = 0.8476950638064832 " " y[1] (numeric) = 0.8476733378712129 " " absolute error = 2.172593527027810700000E-5 " " relative error = 2.5629422887895725000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15299999999999764 " " y[1] (analytic) = 0.8475962312131546 " " y[1] (numeric) = 0.8475743825260844 " " absolute error = 2.184868707022502600000E-5 " " relative error = 2.577723480312466000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15309999999999763 " " y[1] (analytic) = 0.8474974001438638 " " y[1] (numeric) = 0.8474754282461485 " " absolute error = 2.197189771524499200000E-5 " " relative error = 2.5925622558270073000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15319999999999762 " " y[1] (analytic) = 0.8473985705995988 " " y[1] (numeric) = 0.8473764750315578 " " absolute error = 2.209556804100287800000E-5 " " relative error = 2.6074587340132740000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1532999999999976 " " y[1] (analytic) = 0.8472997425813482 " " y[1] (numeric) = 0.8472775228824647 " " absolute error = 2.22196988834966200000E-5 " " relative error = 2.6224130336453316000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1533999999999976 " " y[1] (analytic) = 0.8472009160901002 " " y[1] (numeric) = 0.847178571799022 " " absolute error = 2.234429107816904300000E-5 " " relative error = 2.637425273486451000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15349999999999758 " " y[1] (analytic) = 0.847102091126843 " " y[1] (numeric) = 0.8470796217813824 " " absolute error = 2.246934546057399700000E-5 " " relative error = 2.652495572367734000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15359999999999757 " " y[1] (analytic) = 0.847003267692565 " " y[1] (numeric) = 0.8469806728296987 " " absolute error = 2.25948628662653300000E-5 " " relative error = 2.667624049175043000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15369999999999756 " " y[1] (analytic) = 0.8469044457882542 " " y[1] (numeric) = 0.8468817249441238 " " absolute error = 2.272084413035280200000E-5 " " relative error = 2.6828108227965947000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15379999999999755 " " y[1] (analytic) = 0.8468056254148989 " " y[1] (numeric) = 0.846782778124811 " " absolute error = 2.28472900879461700000E-5 " " relative error = 2.6980560121753994000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15389999999999754 " " y[1] (analytic) = 0.8467068065734875 " " y[1] (numeric) = 0.8466838323719131 " " absolute error = 2.29742015743772400000E-5 " " relative error = 2.713359736335515000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15399999999999753 " " y[1] (analytic) = 0.8466079892650079 " " y[1] (numeric) = 0.8465848876855836 " " absolute error = 2.31015794243116800000E-5 " " relative error = 2.7287221142771845000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15409999999999752 " " y[1] (analytic) = 0.8465091734904484 " " y[1] (numeric) = 0.8464859440659758 " " absolute error = 2.322942447263720600000E-5 " " relative error = 2.7441432650817360000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1541999999999975 " " y[1] (analytic) = 0.8464103592507972 " " y[1] (numeric) = 0.8463870015132431 " " absolute error = 2.33577375541305100000E-5 " " relative error = 2.759623307872281000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1542999999999975 " " y[1] (analytic) = 0.8463115465470425 " " y[1] (numeric) = 0.846288060027539 " " absolute error = 2.34865195035682820000E-5 " " relative error = 2.775162361826854000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15439999999999748 " " y[1] (analytic) = 0.8462127353801723 " " y[1] (numeric) = 0.8461891196090172 " " absolute error = 2.361577115506108300000E-5 " " relative error = 2.790760546099721500E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15449999999999747 " " y[1] (analytic) = 0.8461139257511746 " " y[1] (numeric) = 0.8460901802578314 " " absolute error = 2.37454933431635600000E-5 " " relative error = 2.806417979952577000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15459999999999746 " " y[1] (analytic) = 0.8460151176610378 " " y[1] (numeric) = 0.8459912419741356 " " absolute error = 2.387568690220831500000E-5 " " relative error = 2.8221347826758675000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15469999999999745 " " y[1] (analytic) = 0.8459163111107497 " " y[1] (numeric) = 0.8458923047580834 " " absolute error = 2.400635266630590800000E-5 " " relative error = 2.8379110735888070000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15479999999999744 " " y[1] (analytic) = 0.8458175061012986 " " y[1] (numeric) = 0.8457933686098291 " " absolute error = 2.413749146945587400000E-5 " " relative error = 2.8537469720525110000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15489999999999743 " " y[1] (analytic) = 0.8457187026336723 " " y[1] (numeric) = 0.8456944335295268 " " absolute error = 2.426910414554672700000E-5 " " relative error = 2.869642597470027000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15499999999999742 " " y[1] (analytic) = 0.8456199007088592 " " y[1] (numeric) = 0.8455954995173306 " " absolute error = 2.440119152857800300000E-5 " " relative error = 2.8855980693126043000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1550999999999974 " " y[1] (analytic) = 0.8455211003278469 " " y[1] (numeric) = 0.8454965665733949 " " absolute error = 2.453375445199412800000E-5 " " relative error = 2.901613507040957000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1551999999999974 " " y[1] (analytic) = 0.8454223014916236 " " y[1] (numeric) = 0.8453976346978742 " " absolute error = 2.466679374935054600000E-5 " " relative error = 2.9176890301840400000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15529999999999738 " " y[1] (analytic) = 0.8453235042011773 " " y[1] (numeric) = 0.845298703890923 " " absolute error = 2.48003102543137300000E-5 " " relative error = 2.9338247583390914000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15539999999999737 " " y[1] (analytic) = 0.8452247084574961 " " y[1] (numeric) = 0.8451997741526959 " " absolute error = 2.493430480021707800000E-5 " " relative error = 2.950020811119124000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15549999999999736 " " y[1] (analytic) = 0.8451259142615677 " " y[1] (numeric) = 0.8451008454833476 " " absolute error = 2.506877822006093000000E-5 " " relative error = 2.966277308152937000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15559999999999735 " " y[1] (analytic) = 0.8450271216143801 " " y[1] (numeric) = 0.845001917883033 " " absolute error = 2.52037313470676600000E-5 " " relative error = 2.982594369150809400E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15569999999999734 " " y[1] (analytic) = 0.8449283305169213 " " y[1] (numeric) = 0.8449029913519069 " " absolute error = 2.53391650143486300000E-5 " " relative error = 2.9989721138651254000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15579999999999733 " " y[1] (analytic) = 0.8448295409701793 " " y[1] (numeric) = 0.8448040658901245 " " absolute error = 2.547508005479315300000E-5 " " relative error = 3.0154106620772590000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15589999999999732 " " y[1] (analytic) = 0.8447307529751418 " " y[1] (numeric) = 0.8447051414978407 " " absolute error = 2.561147730106849700000E-5 " " relative error = 3.031910133597584000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1559999999999973 " " y[1] (analytic) = 0.8446319665327968 " " y[1] (numeric) = 0.8446062181752109 " " absolute error = 2.574835758595295000000E-5 " " relative error = 3.0484706483049206000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1560999999999973 " " y[1] (analytic) = 0.8445331816441322 " " y[1] (numeric) = 0.8445072959223904 " " absolute error = 2.58857217417807200000E-5 " " relative error = 3.065092326080847700E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15619999999999729 " " y[1] (analytic) = 0.8444343983101357 " " y[1] (numeric) = 0.8444083747395346 " " absolute error = 2.602357060110805000000E-5 " " relative error = 3.081775286888581000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15629999999999727 " " y[1] (analytic) = 0.8443356165317951 " " y[1] (numeric) = 0.8443094546267988 " " absolute error = 2.616190499626913600000E-5 " " relative error = 3.0985196507204266000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15639999999999726 " " y[1] (analytic) = 0.8442368363100985 " " y[1] (numeric) = 0.844210535584339 " " absolute error = 2.630072575948716500000E-5 " " relative error = 3.1153255376109396000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15649999999999725 " " y[1] (analytic) = 0.8441380576460336 " " y[1] (numeric) = 0.8441116176123107 " " absolute error = 2.64400337228742900000E-5 " " relative error = 3.132193067636953000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15659999999999724 " " y[1] (analytic) = 0.8440392805405879 " " y[1] (numeric) = 0.8440127007108696 " " absolute error = 2.657982971820960000000E-5 " " relative error = 3.149122360891288000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15669999999999723 " " y[1] (analytic) = 0.8439405049947495 " " y[1] (numeric) = 0.8439137848801719 " " absolute error = 2.67201145776052600000E-5 " " relative error = 3.1661135375616906000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15679999999999722 " " y[1] (analytic) = 0.8438417310095061 " " y[1] (numeric) = 0.8438148701203734 " " absolute error = 2.686088913272932600000E-5 " " relative error = 3.18316671783879000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1568999999999972 " " y[1] (analytic) = 0.8437429585858454 " " y[1] (numeric) = 0.8437159564316302 " " absolute error = 2.70021542151388500000E-5 " " relative error = 3.2002820219555717000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1569999999999972 " " y[1] (analytic) = 0.8436441877247549 " " y[1] (numeric) = 0.8436170438140986 " " absolute error = 2.714391065627985700000E-5 " " relative error = 3.217459570187397000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1570999999999972 " " y[1] (analytic) = 0.8435454184272227 " " y[1] (numeric) = 0.8435181322679349 " " absolute error = 2.72861592878204100000E-5 " " relative error = 3.2346994828915110000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15719999999999718 " " y[1] (analytic) = 0.8434466506942364 " " y[1] (numeric) = 0.8434192217932955 " " absolute error = 2.74289009408734700000E-5 " " relative error = 3.2520018804149486000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15729999999999716 " " y[1] (analytic) = 0.8433478845267834 " " y[1] (numeric) = 0.8433203123903369 " " absolute error = 2.757213644655198700000E-5 " " relative error = 3.2693668831603430000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15739999999999715 " " y[1] (analytic) = 0.8432491199258516 " " y[1] (numeric) = 0.8432214040592156 " " absolute error = 2.771586663596892000000E-5 " " relative error = 3.2867946115859603000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15749999999999714 " " y[1] (analytic) = 0.8431503568924287 " " y[1] (numeric) = 0.8431224968000886 " " absolute error = 2.786009234012621000000E-5 " " relative error = 3.3042851861925580000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15759999999999713 " " y[1] (analytic) = 0.8430515954275022 " " y[1] (numeric) = 0.8430235906131124 " " absolute error = 2.800481438980373400000E-5 " " relative error = 3.3218387275102423000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15769999999999712 " " y[1] (analytic) = 0.8429528355320597 " " y[1] (numeric) = 0.8429246854984439 " " absolute error = 2.81500336157813900000E-5 " " relative error = 3.3394553561248175000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1577999999999971 " " y[1] (analytic) = 0.8428540772070888 " " y[1] (numeric) = 0.8428257814562403 " " absolute error = 2.829575084850599600000E-5 " " relative error = 3.3571351926383036000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1578999999999971 " " y[1] (analytic) = 0.8427553204535773 " " y[1] (numeric) = 0.8427268784866586 " " absolute error = 2.844196691864642000000E-5 " " relative error = 3.3748783577348096000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1579999999999971 " " y[1] (analytic) = 0.8426565652725124 " " y[1] (numeric) = 0.842627976589856 " " absolute error = 2.858868265642744400000E-5 " " relative error = 3.3926849721015295000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15809999999999708 " " y[1] (analytic) = 0.842557811664882 " " y[1] (numeric) = 0.8425290757659897 " " absolute error = 2.873589889229588600000E-5 " " relative error = 3.410555156507797400E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15819999999999707 " " y[1] (analytic) = 0.8424590596316733 " " y[1] (numeric) = 0.8424301760152172 " " absolute error = 2.888361645614345700000E-5 " " relative error = 3.428489031712888000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15829999999999705 " " y[1] (analytic) = 0.8423603091738742 " " y[1] (numeric) = 0.842331277337696 " " absolute error = 2.903183617819493600000E-5 " " relative error = 3.4464867185714454000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15839999999999704 " " y[1] (analytic) = 0.8422615602924719 " " y[1] (numeric) = 0.8422323797335836 " " absolute error = 2.918055888834203400000E-5 " " relative error = 3.464548337954448000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15849999999999703 " " y[1] (analytic) = 0.842162812988454 " " y[1] (numeric) = 0.8421334832030377 " " absolute error = 2.932978541625441700000E-5 " " relative error = 3.4826740107623970000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15859999999999702 " " y[1] (analytic) = 0.8420640672628079 " " y[1] (numeric) = 0.8420345877462162 " " absolute error = 2.947951659171277300000E-5 " " relative error = 3.5008638579648865000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.158699999999997 " " y[1] (analytic) = 0.8419653231165213 " " y[1] (numeric) = 0.8419356933632769 " " absolute error = 2.96297532443867700000E-5 " " relative error = 3.5191180005742645000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.158799999999997 " " y[1] (analytic) = 0.8418665805505813 " " y[1] (numeric) = 0.8418368000543778 " " absolute error = 2.978049620350198000000E-5 " " relative error = 3.537436559606098000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.158899999999997 " " y[1] (analytic) = 0.8417678395659756 " " y[1] (numeric) = 0.841737907819677 " " absolute error = 2.993174629861705700000E-5 " " relative error = 3.5558196561714905000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15899999999999698 " " y[1] (analytic) = 0.8416691001636915 " " y[1] (numeric) = 0.8416390166593326 " " absolute error = 3.008350435884654700000E-5 " " relative error = 3.5742674113848040000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15909999999999697 " " y[1] (analytic) = 0.8415703623447163 " " y[1] (numeric) = 0.841540126573503 " " absolute error = 3.023577121330500700000E-5 " " relative error = 3.5927799464164245000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15919999999999696 " " y[1] (analytic) = 0.8414716261100376 " " y[1] (numeric) = 0.8414412375623465 " " absolute error = 3.038854769110699300000E-5 " " relative error = 3.611357382492793000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15929999999999694 " " y[1] (analytic) = 0.8413728914606425 " " y[1] (numeric) = 0.8413423496260216 " " absolute error = 3.05418346209229700000E-5 " " relative error = 3.6299998408436535000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15939999999999693 " " y[1] (analytic) = 0.8412741583975186 " " y[1] (numeric) = 0.8412434627646869 " " absolute error = 3.06956328317564700000E-5 " " relative error = 3.6487074427944305000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15949999999999692 " " y[1] (analytic) = 0.841175426921653 " " y[1] (numeric) = 0.841144576978501 " " absolute error = 3.084994315205591400000E-5 " " relative error = 3.667480309660695000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1595999999999969 " " y[1] (analytic) = 0.8410766970340333 " " y[1] (numeric) = 0.8410456922676227 " " absolute error = 3.10047664106027900000E-5 " " relative error = 3.686318562853752600E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1596999999999969 " " y[1] (analytic) = 0.8409779687356465 " " y[1] (numeric) = 0.840946808632211 " " absolute error = 3.11601034354014300000E-5 " " relative error = 3.705222323748687500E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1597999999999969 " " y[1] (analytic) = 0.84087924202748 " " y[1] (numeric) = 0.8408479260724249 " " absolute error = 3.1315955055122300000E-5 " " relative error = 3.7241917138559705000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15989999999999688 " " y[1] (analytic) = 0.8407805169105211 " " y[1] (numeric) = 0.8407490445884233 " " absolute error = 3.147232209788075600000E-5 " " relative error = 3.7432268546762903000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15999999999999687 " " y[1] (analytic) = 0.8406817933857571 " " y[1] (numeric) = 0.8406501641803653 " " absolute error = 3.16292053917921500000E-5 " " relative error = 3.7623278677665740000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16009999999999686 " " y[1] (analytic) = 0.8405830714541751 " " y[1] (numeric) = 0.8405512848484104 " " absolute error = 3.17866057647497870000E-5 " " relative error = 3.7814948747135996000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16019999999999684 " " y[1] (analytic) = 0.8404843511167625 " " y[1] (numeric) = 0.8404524065927178 " " absolute error = 3.19445240446469800000E-5 " " relative error = 3.8007279971604324000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16029999999999683 " " y[1] (analytic) = 0.8403856323745063 " " y[1] (numeric) = 0.8403535294134471 " " absolute error = 3.210296105915500000E-5 " " relative error = 3.820027356780031000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16039999999999682 " " y[1] (analytic) = 0.8402869152283937 " " y[1] (numeric) = 0.8402546533107578 " " absolute error = 3.2261917635945103000E-5 " " relative error = 3.8393930753016870000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1604999999999968 " " y[1] (analytic) = 0.840188199679412 " " y[1] (numeric) = 0.8401557782848095 " " absolute error = 3.242139460257753600000E-5 " " relative error = 3.8588252744978400000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1605999999999968 " " y[1] (analytic) = 0.8400894857285484 " " y[1] (numeric) = 0.840056904335762 " " absolute error = 3.258139278639049500000E-5 " " relative error = 3.878324076170888700E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1606999999999968 " " y[1] (analytic) = 0.8399907733767897 " " y[1] (numeric) = 0.8399580314637751 " " absolute error = 3.27419130146111570000E-5 " " relative error = 3.897889602166416700E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16079999999999678 " " y[1] (analytic) = 0.8398920626251235 " " y[1] (numeric) = 0.8398591596690089 " " absolute error = 3.29029561145777200000E-5 " " relative error = 3.917521974399654000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16089999999999677 " " y[1] (analytic) = 0.8397933534745365 " " y[1] (numeric) = 0.8397602889516235 " " absolute error = 3.30645229130732700000E-5 " " relative error = 3.937221314776197500E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16099999999999676 " " y[1] (analytic) = 0.8396946459260162 " " y[1] (numeric) = 0.8396614193117788 " " absolute error = 3.32266142373249800000E-5 " " relative error = 3.956987745310991400E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16109999999999675 " " y[1] (analytic) = 0.8395959399805493 " " y[1] (numeric) = 0.8395625507496354 " " absolute error = 3.3389230913893897000E-5 " " relative error = 3.976821387996161000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16119999999999673 " " y[1] (analytic) = 0.8394972356391229 " " y[1] (numeric) = 0.8394636832653534 " " absolute error = 3.355237376956310400000E-5 " " relative error = 3.996722364906792300E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16129999999999672 " " y[1] (analytic) = 0.8393985329027243 " " y[1] (numeric) = 0.8393648168590933 " " absolute error = 3.371604363100466600000E-5 " " relative error = 4.016690798161299000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1613999999999967 " " y[1] (analytic) = 0.8392998317723402 " " y[1] (numeric) = 0.8392659515310156 " " absolute error = 3.3880241324668603000E-5 " " relative error = 4.036726809908214300E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1614999999999967 " " y[1] (analytic) = 0.839201132248958 " " y[1] (numeric) = 0.8391670872812811 " " absolute error = 3.40449676768939100000E-5 " " relative error = 4.056830522339442000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1615999999999967 " " y[1] (analytic) = 0.8391024343335644 " " y[1] (numeric) = 0.8390682241100504 " " absolute error = 3.421022351390856600000E-5 " " relative error = 4.07700205769027000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16169999999999668 " " y[1] (analytic) = 0.8390037380271463 " " y[1] (numeric) = 0.8389693620174845 " " absolute error = 3.43760096618295200000E-5 " " relative error = 4.097241538239400600E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16179999999999667 " " y[1] (analytic) = 0.838905043330691 " " y[1] (numeric) = 0.8388705010037443 " " absolute error = 3.45423269467737270000E-5 " " relative error = 4.1175490863222003E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16189999999999666 " " y[1] (analytic) = 0.8388063502451852 " " y[1] (numeric) = 0.8387716410689907 " " absolute error = 3.47091761945250700000E-5 " " relative error = 4.137924824291029000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16199999999999665 " " y[1] (analytic) = 0.8387076587716159 " " y[1] (numeric) = 0.838672782213385 " " absolute error = 3.48765582308674400000E-5 " " relative error = 4.158368874554953000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16209999999999664 " " y[1] (analytic) = 0.83860896891097 " " y[1] (numeric) = 0.8385739244370884 " " absolute error = 3.504447388158471500000E-5 " " relative error = 4.17888135957977970E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16219999999999662 " " y[1] (analytic) = 0.8385102806642344 " " y[1] (numeric) = 0.8384750677402623 " " absolute error = 3.52129239721277200000E-5 " " relative error = 4.199462401848364500E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1622999999999966 " " y[1] (analytic) = 0.8384115940323961 " " y[1] (numeric) = 0.838376212123068 " " absolute error = 3.53819093280582900000E-5 " " relative error = 4.220112123913584700E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1623999999999966 " " y[1] (analytic) = 0.8383129090164417 " " y[1] (numeric) = 0.8382773575856671 " " absolute error = 3.55514307746052100000E-5 " " relative error = 4.240830648345407000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1624999999999966 " " y[1] (analytic) = 0.8382142256173583 " " y[1] (numeric) = 0.8381785041282214 " " absolute error = 3.57214891368862200000E-5 " " relative error = 4.26161809775738030E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16259999999999658 " " y[1] (analytic) = 0.8381155438361326 " " y[1] (numeric) = 0.8380796517508924 " " absolute error = 3.58920852402411230000E-5 " " relative error = 4.2824745948464000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16269999999999657 " " y[1] (analytic) = 0.8380168636737515 " " y[1] (numeric) = 0.837980800453842 " " absolute error = 3.6063219909454600000E-5 " " relative error = 4.303400262300017000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16279999999999656 " " y[1] (analytic) = 0.8379181851312018 " " y[1] (numeric) = 0.8378819502372322 " " absolute error = 3.62348939695333900000E-5 " " relative error = 4.3243952228891785000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16289999999999655 " " y[1] (analytic) = 0.8378195082094702 " " y[1] (numeric) = 0.837783101101225 " " absolute error = 3.64071082451511430000E-5 " " relative error = 4.345459599402011000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16299999999999654 " " y[1] (analytic) = 0.8377208329095434 " " y[1] (numeric) = 0.8376842530459825 " " absolute error = 3.65798635608705070000E-5 " " relative error = 4.366593514670344000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16309999999999653 " " y[1] (analytic) = 0.8376221592324085 " " y[1] (numeric) = 0.837585406071667 " " absolute error = 3.675316074147616500000E-5 " " relative error = 4.387797091609483000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16319999999999651 " " y[1] (analytic) = 0.8375234871790518 " " y[1] (numeric) = 0.8374865601784408 " " absolute error = 3.692700061097564700000E-5 " " relative error = 4.409070453098962000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1632999999999965 " " y[1] (analytic) = 0.8374248167504603 " " y[1] (numeric) = 0.8373877153664663 " " absolute error = 3.710138399404261400000E-5 " " relative error = 4.430413722154863000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1633999999999965 " " y[1] (analytic) = 0.8373261479476206 " " y[1] (numeric) = 0.837288871635906 " " absolute error = 3.727631171457357300000E-5 " " relative error = 4.451827021757525600E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16349999999999648 " " y[1] (analytic) = 0.8372274807715194 " " y[1] (numeric) = 0.8371900289869226 " " absolute error = 3.7451784596798100000E-5 " " relative error = 4.473310474984127000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16359999999999647 " " y[1] (analytic) = 0.8371288152231435 " " y[1] (numeric) = 0.8370911874196788 " " absolute error = 3.76278034647237200000E-5 " " relative error = 4.494864204942428000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16369999999999646 " " y[1] (analytic) = 0.8370301513034795 " " y[1] (numeric) = 0.8369923469343374 " " absolute error = 3.780436914202489600000E-5 " " relative error = 4.516488334757523000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16379999999999645 " " y[1] (analytic) = 0.8369314890135138 " " y[1] (numeric) = 0.8368935075310614 " " absolute error = 3.79814824523760900000E-5 " " relative error = 4.5381829876116436000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16389999999999644 " " y[1] (analytic) = 0.8368328283542333 " " y[1] (numeric) = 0.8367946692100137 " " absolute error = 3.81591442196738130000E-5 " " relative error = 4.559948286770718600E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16399999999999643 " " y[1] (analytic) = 0.8367341693266245 " " y[1] (numeric) = 0.8366958319713574 " " absolute error = 3.83373552670374100000E-5 " " relative error = 4.581784355465013000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16409999999999642 " " y[1] (analytic) = 0.836635511931674 " " y[1] (numeric) = 0.8365969958152558 " " absolute error = 3.851611641814134400000E-5 " " relative error = 4.603691317048333000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1641999999999964 " " y[1] (analytic) = 0.8365368561703684 " " y[1] (numeric) = 0.8364981607418722 " " absolute error = 3.86954284962159900000E-5 " " relative error = 4.6256692948786593000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1642999999999964 " " y[1] (analytic) = 0.8364382020436942 " " y[1] (numeric) = 0.8363993267513701 " " absolute error = 3.88752923241586500000E-5 " " relative error = 4.6477184123314186000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16439999999999638 " " y[1] (analytic) = 0.836339549552638 " " y[1] (numeric) = 0.8363004938439128 " " absolute error = 3.9055708725199700000E-5 " " relative error = 4.669838792879134600E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16449999999999637 " " y[1] (analytic) = 0.8362408986981864 " " y[1] (numeric) = 0.8362016620196641 " " absolute error = 3.92366785223474700000E-5 " " relative error = 4.6920305600251020000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16459999999999636 " " y[1] (analytic) = 0.8361422494813257 " " y[1] (numeric) = 0.8361028312787876 " " absolute error = 3.94182025380551700000E-5 " " relative error = 4.714293837263575600E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16469999999999635 " " y[1] (analytic) = 0.8360436019030425 " " y[1] (numeric) = 0.8360040016214472 " " absolute error = 3.96002815953311300000E-5 " " relative error = 4.736628748212542000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16479999999999634 " " y[1] (analytic) = 0.8359449559643233 " " y[1] (numeric) = 0.8359051730478068 " " absolute error = 3.97829165165175500000E-5 " " relative error = 4.759035416467711000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16489999999999633 " " y[1] (analytic) = 0.8358463116661545 " " y[1] (numeric) = 0.8358063455580302 " " absolute error = 3.99661081242896900000E-5 " " relative error = 4.781513965722033000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16499999999999632 " " y[1] (analytic) = 0.8357476690095227 " " y[1] (numeric) = 0.8357075191522818 " " absolute error = 4.01498572408787170000E-5 " " relative error = 4.804064519672772000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1650999999999963 " " y[1] (analytic) = 0.8356490279954141 " " y[1] (numeric) = 0.8356086938307257 " " absolute error = 4.03341646884047830000E-5 " " relative error = 4.826687202061357700E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1651999999999963 " " y[1] (analytic) = 0.8355503886248152 " " y[1] (numeric) = 0.8355098695935261 " " absolute error = 4.05190312890990600000E-5 " " relative error = 4.849382136699981000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16529999999999628 " " y[1] (analytic) = 0.8354517508987125 " " y[1] (numeric) = 0.8354110464408475 " " absolute error = 4.07044578649706800000E-5 " " relative error = 4.872149447431771700E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16539999999999627 " " y[1] (analytic) = 0.8353531148180923 " " y[1] (numeric) = 0.8353122243728544 " " absolute error = 4.08904452379177400000E-5 " " relative error = 4.894989258144097000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16549999999999626 " " y[1] (analytic) = 0.8352544803839409 " " y[1] (numeric) = 0.8352134033897113 " " absolute error = 4.107699422961630400000E-5 " " relative error = 4.917901692755299000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16559999999999625 " " y[1] (analytic) = 0.8351558475972447 " " y[1] (numeric) = 0.835114583491583 " " absolute error = 4.126410566174243400000E-5 " " relative error = 4.940886875241292000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16569999999999624 " " y[1] (analytic) = 0.83505721645899 " " y[1] (numeric) = 0.8350157646786343 " " absolute error = 4.145178035575014500000E-5 " " relative error = 4.9639449296090077000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16579999999999623 " " y[1] (analytic) = 0.8349585869701631 " " y[1] (numeric) = 0.83491694695103 " " absolute error = 4.16400191330934530000E-5 " " relative error = 4.987075979922994700E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16589999999999622 " " y[1] (analytic) = 0.8348599591317505 " " y[1] (numeric) = 0.8348181303089353 " " absolute error = 4.182882281522637400000E-5 " " relative error = 5.0102801503054610000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1659999999999962 " " y[1] (analytic) = 0.8347613329447381 " " y[1] (numeric) = 0.834719314752515 " " absolute error = 4.20181922230478100000E-5 " " relative error = 5.033557564869796000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1660999999999962 " " y[1] (analytic) = 0.8346627084101125 " " y[1] (numeric) = 0.8346205002819345 " " absolute error = 4.220812817801178300000E-5 " " relative error = 5.0569083478535830000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16619999999999618 " " y[1] (analytic) = 0.8345640855288597 " " y[1] (numeric) = 0.834521686897359 " " absolute error = 4.23986315007951500000E-5 " " relative error = 5.080332623459025000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16629999999999617 " " y[1] (analytic) = 0.8344654643019662 " " y[1] (numeric) = 0.8344228745989538 " " absolute error = 4.25897030124078300000E-5 " " relative error = 5.103830515985978000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16639999999999616 " " y[1] (analytic) = 0.834366844730418 " " y[1] (numeric) = 0.8343240633868846 " " absolute error = 4.27813435334156700000E-5 " " relative error = 5.127402149738851000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16649999999999615 " " y[1] (analytic) = 0.8342682268152013 " " y[1] (numeric) = 0.8342252532613168 " " absolute error = 4.29735538844955300000E-5 " " relative error = 5.15104764909315000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16659999999999614 " " y[1] (analytic) = 0.8341696105573023 " " y[1] (numeric) = 0.8341264442224162 " " absolute error = 4.31663348861022200000E-5 " " relative error = 5.174767138455586000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16669999999999613 " " y[1] (analytic) = 0.8340709959577073 " " y[1] (numeric) = 0.8340276362703486 " " absolute error = 4.33596873586905600000E-5 " " relative error = 5.198560742290717000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16679999999999612 " " y[1] (analytic) = 0.8339723830174023 " " y[1] (numeric) = 0.8339288294052798 " " absolute error = 4.35536121224933100000E-5 " " relative error = 5.222428585094345000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1668999999999961 " " y[1] (analytic) = 0.8338737717373734 " " y[1] (numeric) = 0.8338300236273758 " " absolute error = 4.374810999763223400000E-5 " " relative error = 5.246370791406855000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1669999999999961 " " y[1] (analytic) = 0.8337751621186069 " " y[1] (numeric) = 0.8337312189368026 " " absolute error = 4.39431818043400900000E-5 " " relative error = 5.270387485839864000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16709999999999608 " " y[1] (analytic) = 0.8336765541620887 " " y[1] (numeric) = 0.8336324153337265 " " absolute error = 4.413882836229454700000E-5 " " relative error = 5.2944787929963530000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16719999999999607 " " y[1] (analytic) = 0.833577947868805 " " y[1] (numeric) = 0.8335336128183136 " " absolute error = 4.4335050491395300000E-5 " " relative error = 5.3186448375639010E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16729999999999606 " " y[1] (analytic) = 0.8334793432397418 " " y[1] (numeric) = 0.8334348113907305 " " absolute error = 4.45318490113200100000E-5 " " relative error = 5.342885744261436000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16739999999999605 " " y[1] (analytic) = 0.8333807402758852 " " y[1] (numeric) = 0.8333360110511435 " " absolute error = 4.47292247416353200000E-5 " " relative error = 5.367201637852587000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16749999999999604 " " y[1] (analytic) = 0.833282138978221 " " y[1] (numeric) = 0.8332372117997193 " " absolute error = 4.492717850168581600000E-5 " " relative error = 5.39159264313237000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16759999999999603 " " y[1] (analytic) = 0.8331835393477356 " " y[1] (numeric) = 0.8331384136366246 " " absolute error = 4.512571111103813600000E-5 " " relative error = 5.416058884980512000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16769999999999602 " " y[1] (analytic) = 0.8330849413854148 " " y[1] (numeric) = 0.8330396165620259 " " absolute error = 4.53248233889258500000E-5 " " relative error = 5.440600488294863000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.167799999999996 " " y[1] (analytic) = 0.8329863450922446 " " y[1] (numeric) = 0.8329408205760902 " " absolute error = 4.552451615436048400000E-5 " " relative error = 5.465217578004729000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.167899999999996 " " y[1] (analytic) = 0.8328877504692108 " " y[1] (numeric) = 0.8328420256789846 " " absolute error = 4.57247902262425400000E-5 " " relative error = 5.489910279084220000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16799999999999599 " " y[1] (analytic) = 0.8327891575172996 " " y[1] (numeric) = 0.8327432318708761 " " absolute error = 4.592564642358354400000E-5 " " relative error = 5.5146787165789350000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16809999999999597 " " y[1] (analytic) = 0.8326905662374968 " " y[1] (numeric) = 0.8326444391519318 " " absolute error = 4.612708556506195400000E-5 " " relative error = 5.539523015552666000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16819999999999596 " " y[1] (analytic) = 0.8325919766307884 " " y[1] (numeric) = 0.832545647522319 " " absolute error = 4.63291084694672500000E-5 " " relative error = 5.564443301140748000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16829999999999595 " " y[1] (analytic) = 0.8324933886981603 " " y[1] (numeric) = 0.832446856982205 " " absolute error = 4.65317159552558500000E-5 " " relative error = 5.5894396984967520000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16839999999999594 " " y[1] (analytic) = 0.832394802440598 " " y[1] (numeric) = 0.8323480675317573 " " absolute error = 4.67349088407731400000E-5 " " relative error = 5.614512332819169000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16849999999999593 " " y[1] (analytic) = 0.832296217859088 " " y[1] (numeric) = 0.8322492791711434 " " absolute error = 4.693868794458655500000E-5 " " relative error = 5.6396613293914440000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16859999999999592 " " y[1] (analytic) = 0.8321976349546156 " " y[1] (numeric) = 0.8321504919005311 " " absolute error = 4.71430540844863800000E-5 " " relative error = 5.664886813461967000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1686999999999959 " " y[1] (analytic) = 0.8320990537281671 " " y[1] (numeric) = 0.8320517057200881 " " absolute error = 4.73480080789290270000E-5 " " relative error = 5.690188910417490000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1687999999999959 " " y[1] (analytic) = 0.8320004741807279 " " y[1] (numeric) = 0.8319529206299822 " " absolute error = 4.755355074570477600000E-5 " " relative error = 5.715567745623081000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1688999999999959 " " y[1] (analytic) = 0.8319018963132838 " " y[1] (numeric) = 0.8318541366303813 " " absolute error = 4.775968290249288400000E-5 " " relative error = 5.741023444488842000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16899999999999588 " " y[1] (analytic) = 0.831803320126821 " " y[1] (numeric) = 0.8317553537214536 " " absolute error = 4.7966405367416700000E-5 " " relative error = 5.766556132536654000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16909999999999586 " " y[1] (analytic) = 0.8317047456223249 " " y[1] (numeric) = 0.8316565719033671 " " absolute error = 4.81737189578224100000E-5 " " relative error = 5.79216593525342000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16919999999999585 " " y[1] (analytic) = 0.8316061728007813 " " y[1] (numeric) = 0.83155779117629 " " absolute error = 4.83816244912782500000E-5 " " relative error = 5.817852978211178000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16929999999999584 " " y[1] (analytic) = 0.831507601663176 " " y[1] (numeric) = 0.8314590115403909 " " absolute error = 4.85901227851304200000E-5 " " relative error = 5.843617387013753000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16939999999999583 " " y[1] (analytic) = 0.8314090322104947 " " y[1] (numeric) = 0.831360232995838 " " absolute error = 4.879921465661407600000E-5 " " relative error = 5.8694592873101210000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16949999999999582 " " y[1] (analytic) = 0.831310464443723 " " y[1] (numeric) = 0.8312614555428001 " " absolute error = 4.900890092296439300000E-5 " " relative error = 5.8953788048077840000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1695999999999958 " " y[1] (analytic) = 0.8312118983638468 " " y[1] (numeric) = 0.8311626791814456 " " absolute error = 4.921918240119449500000E-5 " " relative error = 5.921376065246091000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1696999999999958 " " y[1] (analytic) = 0.8311133339718515 " " y[1] (numeric) = 0.8310639039119433 " " absolute error = 4.94300599082064800000E-5 " " relative error = 5.947451194409618000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1697999999999958 " " y[1] (analytic) = 0.8310147712687229 " " y[1] (numeric) = 0.830965129734462 " " absolute error = 4.964153426090245300000E-5 " " relative error = 5.973604318141538000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16989999999999578 " " y[1] (analytic) = 0.8309162102554466 " " y[1] (numeric) = 0.8308663566491707 " " absolute error = 4.98536062758514500000E-5 " " relative error = 5.999835562303577000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16999999999999577 " " y[1] (analytic) = 0.8308176509330082 " " y[1] (numeric) = 0.8307675846562386 " " absolute error = 5.0066276769622500000E-5 " " relative error = 6.026145052816111000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17009999999999575 " " y[1] (analytic) = 0.8307190933023932 " " y[1] (numeric) = 0.8306688137558345 " " absolute error = 5.02795465587846400000E-5 " " relative error = 6.052532915658192000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17019999999999574 " " y[1] (analytic) = 0.8306205373645874 " " y[1] (numeric) = 0.8305700439481277 " " absolute error = 5.04934164596848600000E-5 " " relative error = 6.078999276840852000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17029999999999573 " " y[1] (analytic) = 0.8305219831205761 " " y[1] (numeric) = 0.8304712752332878 " " absolute error = 5.070788728833708000000E-5 " " relative error = 6.105544262393745000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17039999999999572 " " y[1] (analytic) = 0.830423430571345 " " y[1] (numeric) = 0.830372507611484 " " absolute error = 5.0922959861088300000E-5 " " relative error = 6.132167998445379000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1704999999999957 " " y[1] (analytic) = 0.8303248797178796 " " y[1] (numeric) = 0.8302737410828859 " " absolute error = 5.11386349937303900000E-5 " " relative error = 6.158870611116196000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1705999999999957 " " y[1] (analytic) = 0.8302263305611655 " " y[1] (numeric) = 0.8301749756476631 " " absolute error = 5.1354913502388300000E-5 " " relative error = 6.185652226625546000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1706999999999957 " " y[1] (analytic) = 0.8301277831021879 " " y[1] (numeric) = 0.8300762113059853 " " absolute error = 5.15717962026318600000E-5 " " relative error = 6.212512971184753000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17079999999999568 " " y[1] (analytic) = 0.8300292373419327 " " y[1] (numeric) = 0.8299774480580223 " " absolute error = 5.17892839103639700000E-5 " " relative error = 6.239452971104107000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17089999999999567 " " y[1] (analytic) = 0.8299306932813849 " " y[1] (numeric) = 0.8298786859039441 " " absolute error = 5.2007377440821400000E-5 " " relative error = 6.266472352672525000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17099999999999566 " " y[1] (analytic) = 0.8298321509215303 " " y[1] (numeric) = 0.8297799248439207 " " absolute error = 5.222607760957398000000E-5 " " relative error = 6.29357124227795000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17109999999999564 " " y[1] (analytic) = 0.8297336102633541 " " y[1] (numeric) = 0.8296811648781223 " " absolute error = 5.24453852318584900000E-5 " " relative error = 6.320749766327114000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17119999999999563 " " y[1] (analytic) = 0.829635071307842 " " y[1] (numeric) = 0.829582406006719 " " absolute error = 5.2665301123022700000E-5 " " relative error = 6.3480080512990830000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17129999999999562 " " y[1] (analytic) = 0.8295365340559789 " " y[1] (numeric) = 0.8294836482298811 " " absolute error = 5.2885826097859300000E-5 " " relative error = 6.375346223664990000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1713999999999956 " " y[1] (analytic) = 0.8294379985087507 " " y[1] (numeric) = 0.8293848915477791 " " absolute error = 5.310696097160506000000E-5 " " relative error = 6.4027644100084920000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1714999999999956 " " y[1] (analytic) = 0.8293394646671424 " " y[1] (numeric) = 0.8292861359605833 " " absolute error = 5.33287065590526400000E-5 " " relative error = 6.430262736918743000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1715999999999956 " " y[1] (analytic) = 0.8292409325321395 " " y[1] (numeric) = 0.8291873814684646 " " absolute error = 5.355106367488371000000E-5 " " relative error = 6.457841331030556000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17169999999999558 " " y[1] (analytic) = 0.8291424021047271 " " y[1] (numeric) = 0.8290886280715936 " " absolute error = 5.377403313355789000000E-5 " " relative error = 6.485500319011040000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17179999999999557 " " y[1] (analytic) = 0.8290438733858909 " " y[1] (numeric) = 0.828989875770141 " " absolute error = 5.39976157498678300000E-5 " " relative error = 6.513239827626569000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17189999999999556 " " y[1] (analytic) = 0.8289453463766159 " " y[1] (numeric) = 0.8288911245642779 " " absolute error = 5.4221812337940100000E-5 " " relative error = 6.541059983622302000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17199999999999555 " " y[1] (analytic) = 0.8288468210778874 " " y[1] (numeric) = 0.8287923744541752 " " absolute error = 5.4446623712234300000E-5 " " relative error = 6.568960913842716000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17209999999999553 " " y[1] (analytic) = 0.8287482974906907 " " y[1] (numeric) = 0.828693625440004 " " absolute error = 5.46720506866549300000E-5 " " relative error = 6.5969427451245000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17219999999999552 " " y[1] (analytic) = 0.8286497756160109 " " y[1] (numeric) = 0.8285948775219355 " " absolute error = 5.48980940754395500000E-5 " " relative error = 6.625005604403716000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1722999999999955 " " y[1] (analytic) = 0.8285512554548335 " " y[1] (numeric) = 0.828496130700141 " " absolute error = 5.51247546924926700000E-5 " " relative error = 6.6531496186354710000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1723999999999955 " " y[1] (analytic) = 0.8284527370081436 " " y[1] (numeric) = 0.828397384974792 " " absolute error = 5.535203335160777000000E-5 " " relative error = 6.681374914820719000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1724999999999955 " " y[1] (analytic) = 0.8283542202769262 " " y[1] (numeric) = 0.8282986403460598 " " absolute error = 5.557993086635626000000E-5 " " relative error = 6.709681619992882000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17259999999999548 " " y[1] (analytic) = 0.8282557052621666 " " y[1] (numeric) = 0.8281998968141162 " " absolute error = 5.58084480504206200000E-5 " " relative error = 6.738069861258082000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17269999999999547 " " y[1] (analytic) = 0.82815719196485 " " y[1] (numeric) = 0.8281011543791328 " " absolute error = 5.60375857172612500000E-5 " " relative error = 6.766539765754964000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17279999999999546 " " y[1] (analytic) = 0.8280586803859615 " " y[1] (numeric) = 0.8280024130412814 " " absolute error = 5.626734468011652000000E-5 " " relative error = 6.795091460654706000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17289999999999545 " " y[1] (analytic) = 0.8279601705264861 " " y[1] (numeric) = 0.827903672800734 " " absolute error = 5.64977257521137600000E-5 " " relative error = 6.823725073174449000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17299999999999544 " " y[1] (analytic) = 0.8278616623874091 " " y[1] (numeric) = 0.8278049336576624 " " absolute error = 5.67287297467133900000E-5 " " relative error = 6.852440730630961000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17309999999999542 " " y[1] (analytic) = 0.8277631559697154 " " y[1] (numeric) = 0.8277061956122387 " " absolute error = 5.69603574767096900000E-5 " " relative error = 6.881238560319982000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1731999999999954 " " y[1] (analytic) = 0.8276646512743902 " " y[1] (numeric) = 0.8276074586646351 " " absolute error = 5.71926097550079500000E-5 " " relative error = 6.910118689610106000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1732999999999954 " " y[1] (analytic) = 0.8275661483024184 " " y[1] (numeric) = 0.8275087228150241 " " absolute error = 5.74254873942914300000E-5 " " relative error = 6.939081245902579000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1733999999999954 " " y[1] (analytic) = 0.8274676470547851 " " y[1] (numeric) = 0.8274099880635779 " " absolute error = 5.76589912072433800000E-5 " " relative error = 6.968126356658133000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17349999999999538 " " y[1] (analytic) = 0.8273691475324755 " " y[1] (numeric) = 0.827311254410469 " " absolute error = 5.78931220064360400000E-5 " " relative error = 6.997254149383622000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17359999999999537 " " y[1] (analytic) = 0.8272706497364742 " " y[1] (numeric) = 0.82721252185587 " " absolute error = 5.812788060421958000000E-5 " " relative error = 7.026464751618606000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17369999999999536 " " y[1] (analytic) = 0.8271721536677665 " " y[1] (numeric) = 0.8271137903999536 " " absolute error = 5.83632678129442100000E-5 " " relative error = 7.055758290962222000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17379999999999535 " " y[1] (analytic) = 0.8270736593273373 " " y[1] (numeric) = 0.8270150600428925 " " absolute error = 5.859928444484908000000E-5 " " relative error = 7.085134895059787000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17389999999999534 " " y[1] (analytic) = 0.8269751667161716 " " y[1] (numeric) = 0.8269163307848596 " " absolute error = 5.883593131195131000000E-5 " " relative error = 7.114594691589397000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17399999999999533 " " y[1] (analytic) = 0.826876675835254 " " y[1] (numeric) = 0.826817602626028 " " absolute error = 5.907320922604598000000E-5 " " relative error = 7.144137808261949000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17409999999999531 " " y[1] (analytic) = 0.8267781866855698 " " y[1] (numeric) = 0.8267188755665706 " " absolute error = 5.9311118999150200000E-5 " " relative error = 7.1737643728748590000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1741999999999953 " " y[1] (analytic) = 0.8266796992681037 " " y[1] (numeric) = 0.8266201496066607 " " absolute error = 5.95496614429480400000E-5 " " relative error = 7.203474513244973000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1742999999999953 " " y[1] (analytic) = 0.8265812135838406 " " y[1] (numeric) = 0.8265214247464716 " " absolute error = 5.978883736901253000000E-5 " " relative error = 7.233268357235427000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17439999999999528 " " y[1] (analytic) = 0.8264827296337653 " " y[1] (numeric) = 0.8264227009861765 " " absolute error = 6.00286475888056600000E-5 " " relative error = 7.263146032755677000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17449999999999527 " " y[1] (analytic) = 0.8263842474188627 " " y[1] (numeric) = 0.8263239783259491 " " absolute error = 6.026909291367843000000E-5 " " relative error = 7.293107667761524000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17459999999999526 " " y[1] (analytic) = 0.8262857669401178 " " y[1] (numeric) = 0.8262252567659627 " " absolute error = 6.051017415509286000000E-5 " " relative error = 7.323153390281999000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17469999999999525 " " y[1] (analytic) = 0.8261872881985151 " " y[1] (numeric) = 0.8261265363063911 " " absolute error = 6.07518921239558200000E-5 " " relative error = 7.3532833283387980000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17479999999999524 " " y[1] (analytic) = 0.8260888111950395 " " y[1] (numeric) = 0.826027816947408 " " absolute error = 6.09942476315072900000E-5 " " relative error = 7.383497610053764000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17489999999999523 " " y[1] (analytic) = 0.8259903359306758 " " y[1] (numeric) = 0.8259290986891874 " " absolute error = 6.12372414884321300000E-5 " " relative error = 7.413796363541435000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17499999999999521 " " y[1] (analytic) = 0.8258918624064088 " " y[1] (numeric) = 0.8258303815319031 " " absolute error = 6.14808745056372200000E-5 " " relative error = 7.444179717003122000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1750999999999952 " " y[1] (analytic) = 0.8257933906232231 " " y[1] (numeric) = 0.8257316654757293 " " absolute error = 6.17251474938074200000E-5 " " relative error = 7.4746477986731870000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1751999999999952 " " y[1] (analytic) = 0.8256949205821035 " " y[1] (numeric) = 0.8256329505208401 " " absolute error = 6.19700612634055400000E-5 " " relative error = 7.505200736819054000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17529999999999518 " " y[1] (analytic) = 0.8255964522840347 " " y[1] (numeric) = 0.8255342366674097 " " absolute error = 6.22156166250054100000E-5 " " relative error = 7.535838659781573000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17539999999999517 " " y[1] (analytic) = 0.8254979857300014 " " y[1] (numeric) = 0.8254355239156125 " " absolute error = 6.24618143889588100000E-5 " " relative error = 7.566561695934704000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17549999999999516 " " y[1] (analytic) = 0.8253995209209882 " " y[1] (numeric) = 0.8253368122656229 " " absolute error = 6.27086553652844700000E-5 " " relative error = 7.597369973672095000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17559999999999515 " " y[1] (analytic) = 0.8253010578579798 " " y[1] (numeric) = 0.8252381017176157 " " absolute error = 6.29561403641121200000E-5 " " relative error = 7.628263621460885000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17569999999999514 " " y[1] (analytic) = 0.8252025965419609 " " y[1] (numeric) = 0.8251393922717652 " " absolute error = 6.32042701956825300000E-5 " " relative error = 7.6592427678417560000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17579999999999513 " " y[1] (analytic) = 0.8251041369739159 " " y[1] (numeric) = 0.8250406839282465 " " absolute error = 6.34530456694593100000E-5 " " relative error = 7.690307541321326000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17589999999999512 " " y[1] (analytic) = 0.8250056791548297 " " y[1] (numeric) = 0.8249419766872341 " " absolute error = 6.37024675955721900000E-5 " " relative error = 7.721458070547060000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1759999999999951 " " y[1] (analytic) = 0.8249072230856865 " " y[1] (numeric) = 0.8248432705489032 " " absolute error = 6.39525367833737600000E-5 " " relative error = 7.752694484132399000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1760999999999951 " " y[1] (analytic) = 0.8248087687674712 " " y[1] (numeric) = 0.8247445655134287 " " absolute error = 6.42032540425496700000E-5 " " relative error = 7.784016910791325000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17619999999999508 " " y[1] (analytic) = 0.8247103162011682 " " y[1] (numeric) = 0.8246458615809857 " " absolute error = 6.44546201824525200000E-5 " " relative error = 7.81542547925766000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17629999999999507 " " y[1] (analytic) = 0.8246118653877621 " " y[1] (numeric) = 0.8245471587517497 " " absolute error = 6.47066360124348700000E-5 " " relative error = 7.846920318325457000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17639999999999506 " " y[1] (analytic) = 0.8245134163282373 " " y[1] (numeric) = 0.8244484570258958 " " absolute error = 6.49593023415162600000E-5 " " relative error = 7.878501556808637000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17649999999999505 " " y[1] (analytic) = 0.8244149690235782 " " y[1] (numeric) = 0.8243497564035994 " " absolute error = 6.52126199788272100000E-5 " " relative error = 7.910169323594868000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17659999999999504 " " y[1] (analytic) = 0.8243165234747696 " " y[1] (numeric) = 0.8242510568850362 " " absolute error = 6.54665897333872600000E-5 " " relative error = 7.941923747618658000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17669999999999503 " " y[1] (analytic) = 0.8242180796827956 " " y[1] (numeric) = 0.8241523584703817 " " absolute error = 6.57212124138828500000E-5 " " relative error = 7.973764957834459000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17679999999999502 " " y[1] (analytic) = 0.8241196376486408 " " y[1] (numeric) = 0.8240536611598118 " " absolute error = 6.59764888290004200000E-5 " " relative error = 8.005693083257064000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.176899999999995 " " y[1] (analytic) = 0.8240211973732898 " " y[1] (numeric) = 0.8239549649535022 " " absolute error = 6.62324197876484900000E-5 " " relative error = 8.03770825298861000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.176999999999995 " " y[1] (analytic) = 0.8239227588577267 " " y[1] (numeric) = 0.8238562698516289 " " absolute error = 6.64890060978473600000E-5 " " relative error = 8.069810596083866000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17709999999999498 " " y[1] (analytic) = 0.823824322102936 " " y[1] (numeric) = 0.8237575758543678 " " absolute error = 6.67462485681724600000E-5 " " relative error = 8.102000241725394000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17719999999999497 " " y[1] (analytic) = 0.8237258871099021 " " y[1] (numeric) = 0.8236588829618952 " " absolute error = 6.70041480069771800000E-5 " " relative error = 8.134277319129274000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17729999999999496 " " y[1] (analytic) = 0.8236274538796093 " " y[1] (numeric) = 0.8235601911743872 " " absolute error = 6.72627052221708200000E-5 " " relative error = 8.166641957518173000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17739999999999495 " " y[1] (analytic) = 0.823529022413042 " " y[1] (numeric) = 0.8234615004920202 " " absolute error = 6.7521921021884700000E-5 " " relative error = 8.199094286202216000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17749999999999494 " " y[1] (analytic) = 0.8234305927111845 " " y[1] (numeric) = 0.8233628109149705 " " absolute error = 6.77817962139171100000E-5 " " relative error = 8.231634434511634000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17759999999999493 " " y[1] (analytic) = 0.823332164775021 " " y[1] (numeric) = 0.8232641224434148 " " absolute error = 6.80423316061773400000E-5 " " relative error = 8.264262531850702000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17769999999999492 " " y[1] (analytic) = 0.823233738605536 " " y[1] (numeric) = 0.8231654350775297 " " absolute error = 6.83035280062416200000E-5 " " relative error = 8.296978707643834000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1777999999999949 " " y[1] (analytic) = 0.8231353142037134 " " y[1] (numeric) = 0.8230667488174918 " " absolute error = 6.85653862216861800000E-5 " " relative error = 8.329783091376066000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1778999999999949 " " y[1] (analytic) = 0.8230368915705378 " " y[1] (numeric) = 0.8229680636634779 " " absolute error = 6.88279070599762100000E-5 " " relative error = 8.362675812579582000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17799999999999488 " " y[1] (analytic) = 0.8229384707069933 " " y[1] (numeric) = 0.822869379615665 " " absolute error = 6.90910913283548900000E-5 " " relative error = 8.395657000820264000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17809999999999487 " " y[1] (analytic) = 0.822840051614064 " " y[1] (numeric) = 0.8227706966742301 " " absolute error = 6.93549398339543500000E-5 " " relative error = 8.428726785711185000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17819999999999486 " " y[1] (analytic) = 0.8227416342927343 " " y[1] (numeric) = 0.8226720148393503 " " absolute error = 6.96194533840177600000E-5 " " relative error = 8.461885296939636000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17829999999999485 " " y[1] (analytic) = 0.822643218743988 " " y[1] (numeric) = 0.8225733341112028 " " absolute error = 6.98846327852331600000E-5 " " relative error = 8.495132664186188000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17839999999999484 " " y[1] (analytic) = 0.8225448049688098 " " y[1] (numeric) = 0.8224746544899649 " " absolute error = 7.01504788448437100000E-5 " " relative error = 8.528469017259646000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17849999999999483 " " y[1] (analytic) = 0.8224463929681834 " " y[1] (numeric) = 0.822375975975814 " " absolute error = 7.04169923694264500000E-5 " " relative error = 8.561894485948648000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17859999999999482 " " y[1] (analytic) = 0.8223479827430931 " " y[1] (numeric) = 0.8222772985689277 " " absolute error = 7.06841741653363400000E-5 " " relative error = 8.59540920007565100E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1786999999999948 " " y[1] (analytic) = 0.8222495742945231 " " y[1] (numeric) = 0.8221786222694836 " " absolute error = 7.0952025039483500000E-5 " " relative error = 8.629013289591447000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1787999999999948 " " y[1] (analytic) = 0.8221511676234572 " " y[1] (numeric) = 0.8220799470776592 " " absolute error = 7.12205457980008600000E-5 " " relative error = 8.662706884413216000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17889999999999479 " " y[1] (analytic) = 0.8220527627308796 " " y[1] (numeric) = 0.8219812729936324 " " absolute error = 7.14897372471323700000E-5 " " relative error = 8.696490114532515000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17899999999999477 " " y[1] (analytic) = 0.8219543596177744 " " y[1] (numeric) = 0.8218826000175812 " " absolute error = 7.17596001932330200000E-5 " " relative error = 8.730363110015342000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17909999999999476 " " y[1] (analytic) = 0.8218559582851256 " " y[1] (numeric) = 0.8217839281496835 " " absolute error = 7.20301354421026800000E-5 " " relative error = 8.764326000921119000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17919999999999475 " " y[1] (analytic) = 0.8217575587339172 " " y[1] (numeric) = 0.8216852573901174 " " absolute error = 7.23013437997632700000E-5 " " relative error = 8.798378917397247000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17929999999999474 " " y[1] (analytic) = 0.8216591609651334 " " y[1] (numeric) = 0.8215865877390611 " " absolute error = 7.25732260722367100000E-5 " " relative error = 8.832521989652145000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17939999999999473 " " y[1] (analytic) = 0.8215607649797577 " " y[1] (numeric) = 0.821487919196693 " " absolute error = 7.28457830647677400000E-5 " " relative error = 8.866755347860675000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17949999999999472 " " y[1] (analytic) = 0.8214623707787745 " " y[1] (numeric) = 0.8213892517631913 " " absolute error = 7.31190155831562500000E-5 " " relative error = 8.901079122326312000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1795999999999947 " " y[1] (analytic) = 0.8213639783631677 " " y[1] (numeric) = 0.8212905854387347 " " absolute error = 7.33929244329800700000E-5 " " relative error = 8.935493443386587000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1796999999999947 " " y[1] (analytic) = 0.8212655877339209 " " y[1] (numeric) = 0.8211919202235015 " " absolute error = 7.36675104193729200000E-5 " " relative error = 8.969998441386079000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1797999999999947 " " y[1] (analytic) = 0.8211671988920184 " " y[1] (numeric) = 0.8210932561176706 " " absolute error = 7.39427743478016100000E-5 " " relative error = 9.004594246771043000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17989999999999468 " " y[1] (analytic) = 0.8210688118384437 " " y[1] (numeric) = 0.8209945931214208 " " absolute error = 7.4218717022955790000E-5 " " relative error = 9.039280989954265000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17999999999999466 " " y[1] (analytic) = 0.8209704265741811 " " y[1] (numeric) = 0.8208959312349309 " " absolute error = 7.44953392501912500000E-5 " " relative error = 9.074058801490824000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18009999999999465 " " y[1] (analytic) = 0.8208720431002141 " " y[1] (numeric) = 0.8207972704583799 " " absolute error = 7.47726418341976300000E-5 " " relative error = 9.108927811915895000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18019999999999464 " " y[1] (analytic) = 0.8207736614175267 " " y[1] (numeric) = 0.8206986107919468 " " absolute error = 7.50506255798866200000E-5 " " relative error = 9.143888151852918000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18029999999999463 " " y[1] (analytic) = 0.8206752815271027 " " y[1] (numeric) = 0.820599952235811 " " absolute error = 7.53292912917258300000E-5 " " relative error = 9.17893995193251100E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18039999999999462 " " y[1] (analytic) = 0.8205769034299258 " " y[1] (numeric) = 0.8205012947901515 " " absolute error = 7.56086397742938800000E-5 " " relative error = 9.214083342860085000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1804999999999946 " " y[1] (analytic) = 0.82047852712698 " " y[1] (numeric) = 0.8204026384551479 " " absolute error = 7.58886718320583900000E-5 " " relative error = 9.249318455388851000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1805999999999946 " " y[1] (analytic) = 0.8203801526192489 " " y[1] (numeric) = 0.8203039832309795 " " absolute error = 7.61693882693759200000E-5 " " relative error = 9.284645420319828000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1806999999999946 " " y[1] (analytic) = 0.8202817799077162 " " y[1] (numeric) = 0.820205329117826 " " absolute error = 7.64507898902699900000E-5 " " relative error = 9.320064368474805000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18079999999999458 " " y[1] (analytic) = 0.8201834089933657 " " y[1] (numeric) = 0.820106676115867 " " absolute error = 7.67328774987641200000E-5 " " relative error = 9.355575430736954000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18089999999999457 " " y[1] (analytic) = 0.8200850398771812 " " y[1] (numeric) = 0.8200080242252823 " " absolute error = 7.70156518988818200000E-5 " " relative error = 9.391178738050868000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18099999999999455 " " y[1] (analytic) = 0.8199866725601462 " " y[1] (numeric) = 0.8199093734462517 " " absolute error = 7.72991138945355900000E-5 " " relative error = 9.426874421409048000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18109999999999454 " " y[1] (analytic) = 0.8198883070432446 " " y[1] (numeric) = 0.8198107237789553 " " absolute error = 7.75832642893048400000E-5 " " relative error = 9.462662611824851000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18119999999999453 " " y[1] (analytic) = 0.8197899433274598 " " y[1] (numeric) = 0.8197120752235729 " " absolute error = 7.78681038868800400000E-5 " " relative error = 9.49854344038667000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18129999999999452 " " y[1] (analytic) = 0.8196915814137756 " " y[1] (numeric) = 0.819613427780285 " " absolute error = 7.81536334906185500000E-5 " " relative error = 9.534517038203791000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1813999999999945 " " y[1] (analytic) = 0.8195932213031756 " " y[1] (numeric) = 0.8195147814492717 " " absolute error = 7.84398539038777500000E-5 " " relative error = 9.570583536447049000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1814999999999945 " " y[1] (analytic) = 0.8194948629966434 " " y[1] (numeric) = 0.8194161362307133 " " absolute error = 7.87267659301260600000E-5 " " relative error = 9.606743066362398000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1815999999999945 " " y[1] (analytic) = 0.8193965064951625 " " y[1] (numeric) = 0.8193174921247903 " " absolute error = 7.90143703721657400000E-5 " " relative error = 9.642995759176112000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18169999999999448 " " y[1] (analytic) = 0.8192981517997167 " " y[1] (numeric) = 0.8192188491316833 " " absolute error = 7.93026680333541700000E-5 " " relative error = 9.679341746243837000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18179999999999447 " " y[1] (analytic) = 0.8191997989112891 " " y[1] (numeric) = 0.8191202072515729 " " absolute error = 7.95916597162715800000E-5 " " relative error = 9.71578115888802000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18189999999999446 " " y[1] (analytic) = 0.8191014478308638 " " y[1] (numeric) = 0.8190215664846399 " " absolute error = 7.98813462239422700000E-5 " " relative error = 9.752314128546988000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18199999999999444 " " y[1] (analytic) = 0.8190030985594239 " " y[1] (numeric) = 0.818922926831065 " " absolute error = 8.01717283588354600000E-5 " " relative error = 9.788940786653019000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18209999999999443 " " y[1] (analytic) = 0.818904751097953 " " y[1] (numeric) = 0.8188242882910294 " " absolute error = 8.04628069236423800000E-5 " " relative error = 9.825661264727216000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18219999999999442 " " y[1] (analytic) = 0.8188064054474345 " " y[1] (numeric) = 0.8187256508647139 " " absolute error = 8.0754582720610200000E-5 " " relative error = 9.862475694298224000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1822999999999944 " " y[1] (analytic) = 0.8187080616088521 " " y[1] (numeric) = 0.8186270145522999 " " absolute error = 8.10470565522081200000E-5 " " relative error = 9.899384206983582000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1823999999999944 " " y[1] (analytic) = 0.8186097195831891 " " y[1] (numeric) = 0.8185283793539684 " " absolute error = 8.13402292206832900000E-5 " " relative error = 9.936386934435526000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1824999999999944 " " y[1] (analytic) = 0.8185113793714287 " " y[1] (numeric) = 0.8184297452699009 " " absolute error = 8.16341015278387900000E-5 " " relative error = 9.973484008313879000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18259999999999438 " " y[1] (analytic) = 0.8184130409745547 " " y[1] (numeric) = 0.8183311123002787 " " absolute error = 8.19286742760327900000E-5 " " relative error = 1.001067556040813900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18269999999999437 " " y[1] (analytic) = 0.8183147043935501 " " y[1] (numeric) = 0.8182324804452834 " " absolute error = 8.22239482667352900000E-5 " " relative error = 1.004796172246118200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18279999999999436 " " y[1] (analytic) = 0.8182163696293987 " " y[1] (numeric) = 0.8181338497050967 " " absolute error = 8.25199243019714100000E-5 " " relative error = 1.008534262634562400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18289999999999434 " " y[1] (analytic) = 0.8181180366830835 " " y[1] (numeric) = 0.8180352200799004 " " absolute error = 8.28166031831001300000E-5 " " relative error = 1.01228184039146190E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18299999999999433 " " y[1] (analytic) = 0.8180197055555878 " " y[1] (numeric) = 0.8179365915698761 " " absolute error = 8.31139857117024800000E-5 " " relative error = 1.016038918711042500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18309999999999432 " " y[1] (analytic) = 0.8179213762478952 " " y[1] (numeric) = 0.8178379641752058 " " absolute error = 8.34120726893594600000E-5 " " relative error = 1.01980551079372900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1831999999999943 " " y[1] (analytic) = 0.8178230487609888 " " y[1] (numeric) = 0.8177393378960717 " " absolute error = 8.371086491709700000E-5 " " relative error = 1.023581629839363500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1832999999999943 " " y[1] (analytic) = 0.8177247230958519 " " y[1] (numeric) = 0.8176407127326557 " " absolute error = 8.40103631961630600000E-5 " " relative error = 1.027367289056705700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1833999999999943 " " y[1] (analytic) = 0.8176263992534677 " " y[1] (numeric) = 0.8175420886851402 " " absolute error = 8.43105683274725200000E-5 " " relative error = 1.031162501656650600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18349999999999428 " " y[1] (analytic) = 0.8175280772348196 " " y[1] (numeric) = 0.8174434657537075 " " absolute error = 8.4611481112051300000E-5 " " relative error = 1.03496728085766100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18359999999999427 " " y[1] (analytic) = 0.8174297570408907 " " y[1] (numeric) = 0.81734484393854 " " absolute error = 8.49131023507032600000E-5 " " relative error = 1.038781639881695800E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18369999999999426 " " y[1] (analytic) = 0.8173314386726642 " " y[1] (numeric) = 0.8172462232398201 " " absolute error = 8.52154328441212500000E-5 " " relative error = 1.042605591955572100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18379999999999425 " " y[1] (analytic) = 0.8172331221311233 " " y[1] (numeric) = 0.8171476036577305 " " absolute error = 8.55184733927760700000E-5 " " relative error = 1.046439150309608000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18389999999999423 " " y[1] (analytic) = 0.8171348074172513 " " y[1] (numeric) = 0.8170489851924541 " " absolute error = 8.58222247972495500000E-5 " " relative error = 1.050282328181699600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18399999999999422 " " y[1] (analytic) = 0.8170364945320311 " " y[1] (numeric) = 0.8169503678441734 " " absolute error = 8.61266878576794100000E-5 " " relative error = 1.054135138810533100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1840999999999942 " " y[1] (analytic) = 0.816938183476446 " " y[1] (numeric) = 0.8168517516130716 " " absolute error = 8.64318633744254300000E-5 " " relative error = 1.057997595443737000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1841999999999942 " " y[1] (analytic) = 0.8168398742514791 " " y[1] (numeric) = 0.8167531364993315 " " absolute error = 8.67377521476253600000E-5 " " relative error = 1.06186971133245100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1842999999999942 " " y[1] (analytic) = 0.8167415668581134 " " y[1] (numeric) = 0.8166545225031363 " " absolute error = 8.70443549770838500000E-5 " " relative error = 1.065751499729968200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18439999999999418 " " y[1] (analytic) = 0.816643261297332 " " y[1] (numeric) = 0.8165559096246692 " " absolute error = 8.73516726628276200000E-5 " " relative error = 1.069642973898534500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18449999999999417 " " y[1] (analytic) = 0.816544957570118 " " y[1] (numeric) = 0.8164572978641135 " " absolute error = 8.76597060045503100000E-5 " " relative error = 1.073544147102553500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18459999999999416 " " y[1] (analytic) = 0.8164466556774544 " " y[1] (numeric) = 0.8163586872216526 " " absolute error = 8.79684558018345400000E-5 " " relative error = 1.077455032611308600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18469999999999415 " " y[1] (analytic) = 0.8163483556203244 " " y[1] (numeric) = 0.8162600776974701 " " absolute error = 8.82779228542629500000E-5 " " relative error = 1.081375643700324100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18479999999999414 " " y[1] (analytic) = 0.8162500573997107 " " y[1] (numeric) = 0.8161614692917495 " " absolute error = 8.8588107961196090000E-5 " " relative error = 1.085305993648650500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18489999999999412 " " y[1] (analytic) = 0.8161517610165965 " " y[1] (numeric) = 0.8160628620046745 " " absolute error = 8.88990119219945600000E-5 " " relative error = 1.089246095741583500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1849999999999941 " " y[1] (analytic) = 0.8160534664719645 " " y[1] (numeric) = 0.815964255836429 " " absolute error = 8.92106355355748400000E-5 " " relative error = 1.09319596326522900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1850999999999941 " " y[1] (analytic) = 0.815955173766798 " " y[1] (numeric) = 0.8158656507871968 " " absolute error = 8.95229796012975100000E-5 " " relative error = 1.09715560951738500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1851999999999941 " " y[1] (analytic) = 0.8158568829020798 " " y[1] (numeric) = 0.8157670468571618 " " absolute error = 8.98360449179680400000E-5 " " relative error = 1.10112504779530400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18529999999999408 " " y[1] (analytic) = 0.8157585938787927 " " y[1] (numeric) = 0.8156684440465083 " " absolute error = 9.01498322843918800000E-5 " " relative error = 1.10510429140249500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18539999999999407 " " y[1] (analytic) = 0.8156603066979197 " " y[1] (numeric) = 0.8155698423554204 " " absolute error = 9.0464342499263500000E-5 " " relative error = 1.109093353647366100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18549999999999406 " " y[1] (analytic) = 0.8155620213604435 " " y[1] (numeric) = 0.8154712417840824 " " absolute error = 9.07795763611662900000E-5 " " relative error = 1.113092247843228100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18559999999999405 " " y[1] (analytic) = 0.8154637378673473 " " y[1] (numeric) = 0.8153726423326786 " " absolute error = 9.1095534668683700000E-5 " " relative error = 1.11710098730965700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18569999999999404 " " y[1] (analytic) = 0.8153654562196135 " " y[1] (numeric) = 0.8152740440013936 " " absolute error = 9.14122182199550400000E-5 " " relative error = 1.121119585367052200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18579999999999403 " " y[1] (analytic) = 0.8152671764182253 " " y[1] (numeric) = 0.815175446790412 " " absolute error = 9.17296278133417100000E-5 " " relative error = 1.12514805534480600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18589999999999401 " " y[1] (analytic) = 0.8151688984641653 " " y[1] (numeric) = 0.8150768506999184 " " absolute error = 9.204776424687200000E-5 " " relative error = 1.129186410574500200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.185999999999994 " " y[1] (analytic) = 0.8150706223584163 " " y[1] (numeric) = 0.8149782557300976 " " absolute error = 9.23666283186852500000E-5 " " relative error = 1.133234664395354300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.186099999999994 " " y[1] (analytic) = 0.8149723481019611 " " y[1] (numeric) = 0.8148796618811346 " " absolute error = 9.2686220826476710000E-5 " " relative error = 1.137292830147419200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18619999999999398 " " y[1] (analytic) = 0.8148740756957823 " " y[1] (numeric) = 0.8147810691532142 " " absolute error = 9.30065425680526300000E-5 " " relative error = 1.141360921178388900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18629999999999397 " " y[1] (analytic) = 0.8147758051408628 " " y[1] (numeric) = 0.8146824775465217 " " absolute error = 9.33275943411082700000E-5 " " relative error = 1.145438950840879500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18639999999999396 " " y[1] (analytic) = 0.8146775364381853 " " y[1] (numeric) = 0.814583887061242 " " absolute error = 9.36493769433388600000E-5 " " relative error = 1.149526932493794300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18649999999999395 " " y[1] (analytic) = 0.8145792695887324 " " y[1] (numeric) = 0.8144852976975605 " " absolute error = 9.39718911718845400000E-5 " " relative error = 1.153624879495514200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18659999999999394 " " y[1] (analytic) = 0.8144810045934868 " " y[1] (numeric) = 0.8143867094556626 " " absolute error = 9.4295137824218500000E-5 " " relative error = 1.157732805214799000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18669999999999393 " " y[1] (analytic) = 0.8143827414534311 " " y[1] (numeric) = 0.8142881223357338 " " absolute error = 9.46191176973698600000E-5 " " relative error = 1.161850723021252300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18679999999999392 " " y[1] (analytic) = 0.8142844801695481 " " y[1] (numeric) = 0.8141895363379595 " " absolute error = 9.49438315885897700000E-5 " " relative error = 1.16597864629350200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1868999999999939 " " y[1] (analytic) = 0.8141862207428202 " " y[1] (numeric) = 0.8140909514625255 " " absolute error = 9.52692802946852900000E-5 " " relative error = 1.17011658841102300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1869999999999939 " " y[1] (analytic) = 0.8140879631742302 " " y[1] (numeric) = 0.8139923677096176 " " absolute error = 9.55954646125745100000E-5 " " relative error = 1.174264562760956600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18709999999999388 " " y[1] (analytic) = 0.8139897074647604 " " y[1] (numeric) = 0.8138937850794216 " " absolute error = 9.59223853388424500000E-5 " " relative error = 1.17842258273265900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18719999999999387 " " y[1] (analytic) = 0.8138914536153936 " " y[1] (numeric) = 0.8137952035721234 " " absolute error = 9.62500432701851600000E-5 " " relative error = 1.182590661723158400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18729999999999386 " " y[1] (analytic) = 0.8137932016271123 " " y[1] (numeric) = 0.8136966231879093 " " absolute error = 9.65784392030766300000E-5 " " relative error = 1.186768813133066300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18739999999999385 " " y[1] (analytic) = 0.813694951500899 " " y[1] (numeric) = 0.8135980439269651 " " absolute error = 9.69075739338798300000E-5 " " relative error = 1.190957050367944500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18749999999999384 " " y[1] (analytic) = 0.8135967032377361 " " y[1] (numeric) = 0.8134994657894773 " " absolute error = 9.72374482588467300000E-5 " " relative error = 1.195155386838306400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18759999999999383 " " y[1] (analytic) = 0.8134984568386063 " " y[1] (numeric) = 0.8134008887756322 " " absolute error = 9.75680629741182400000E-5 " " relative error = 1.199363835959620200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18769999999999382 " " y[1] (analytic) = 0.8134002123044919 " " y[1] (numeric) = 0.8133023128856163 " " absolute error = 9.78994188756132600000E-5 " " relative error = 1.20358241115094700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1877999999999938 " " y[1] (analytic) = 0.8133019696363752 " " y[1] (numeric) = 0.813203738119616 " " absolute error = 9.82315167592506800000E-5 " " relative error = 1.207811125837672400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1878999999999938 " " y[1] (analytic) = 0.813203728835239 " " y[1] (numeric) = 0.8131051644778181 " " absolute error = 9.85643574208383600000E-5 " " relative error = 1.212049993450143400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18799999999999378 " " y[1] (analytic) = 0.8131054899020654 " " y[1] (numeric) = 0.8130065919604094 " " absolute error = 9.88979416560731300000E-5 " " relative error = 1.216299027423672900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18809999999999377 " " y[1] (analytic) = 0.8130072528378369 " " y[1] (numeric) = 0.8129080205675765 " " absolute error = 9.9232270260429800000E-5 " " relative error = 1.22055824119717600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18819999999999376 " " y[1] (analytic) = 0.812909017643536 " " y[1] (numeric) = 0.8128094502995066 " " absolute error = 9.95673440293831600000E-5 " " relative error = 1.224827648215902300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18829999999999375 " " y[1] (analytic) = 0.8128107843201448 " " y[1] (numeric) = 0.8127108811563866 " " absolute error = 9.99031637581859800000E-5 " " relative error = 1.229107261928709300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18839999999999374 " " y[1] (analytic) = 0.8127125528686457 " " y[1] (numeric) = 0.8126123131384035 " " absolute error = 1.00239730242202010000E-4 " " relative error = 1.233397095792160100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18849999999999373 " " y[1] (analytic) = 0.8126143232900211 " " y[1] (numeric) = 0.8125137462457449 " " absolute error = 1.00577044276239920000E-4 " " relative error = 1.237697163262332600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18859999999999372 " " y[1] (analytic) = 0.8125160955852534 " " y[1] (numeric) = 0.8124151804785978 " " absolute error = 1.00915106655552480000E-4 " " relative error = 1.242007477807114400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1886999999999937 " " y[1] (analytic) = 0.8124178697553246 " " y[1] (numeric) = 0.8123166158371499 " " absolute error = 1.01253918174726290000E-4 " " relative error = 1.246328052892545000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1887999999999937 " " y[1] (analytic) = 0.8123196458012172 " " y[1] (numeric) = 0.8122180523215885 " " absolute error = 1.01593479628681040000E-4 " " relative error = 1.250658901995114200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18889999999999368 " " y[1] (analytic) = 0.8122214237239134 " " y[1] (numeric) = 0.8121194899321014 " " absolute error = 1.01933791812003350000E-4 " " relative error = 1.255000038593567200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18899999999999367 " " y[1] (analytic) = 0.8121232035243952 " " y[1] (numeric) = 0.8120209286688762 " " absolute error = 1.02274855518946770000E-4 " " relative error = 1.259351476168905600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18909999999999366 " " y[1] (analytic) = 0.812024985203645 " " y[1] (numeric) = 0.8119223685321009 " " absolute error = 1.02616671544097930000E-4 " " relative error = 1.263713228212590400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18919999999999365 " " y[1] (analytic) = 0.8119267687626449 " " y[1] (numeric) = 0.8118238095219632 " " absolute error = 1.02959240681710360000E-4 " " relative error = 1.268085308218345200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18929999999999364 " " y[1] (analytic) = 0.8118285542023772 " " y[1] (numeric) = 0.8117252516386514 " " absolute error = 1.03302563725815590000E-4 " " relative error = 1.27246772968352300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18939999999999363 " " y[1] (analytic) = 0.811730341523824 " " y[1] (numeric) = 0.8116266948823534 " " absolute error = 1.03646641470556130000E-4 " " relative error = 1.276860506113213200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18949999999999362 " " y[1] (analytic) = 0.8116321307279672 " " y[1] (numeric) = 0.8115281392532575 " " absolute error = 1.03991474709741460000E-4 " " relative error = 1.281263651014772600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1895999999999936 " " y[1] (analytic) = 0.8115339218157893 " " y[1] (numeric) = 0.811429584751552 " " absolute error = 1.04337064237292050000E-4 " " relative error = 1.28567717790329900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1896999999999936 " " y[1] (analytic) = 0.811435714788272 " " y[1] (numeric) = 0.8113310313774253 " " absolute error = 1.04683410846684310000E-4 " " relative error = 1.290101100294794900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18979999999999358 " " y[1] (analytic) = 0.8113375096463977 " " y[1] (numeric) = 0.811232479131066 " " absolute error = 1.05030515331727690000E-4 " " relative error = 1.29453543171574500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18989999999999357 " " y[1] (analytic) = 0.8112393063911483 " " y[1] (numeric) = 0.8111339280126626 " " absolute error = 1.05378378485676550000E-4 " " relative error = 1.298980185692175700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18999999999999356 " " y[1] (analytic) = 0.8111411050235058 " " y[1] (numeric) = 0.8110353780224039 " " absolute error = 1.05727001101896260000E-4 " " relative error = 1.303435375757864300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19009999999999355 " " y[1] (analytic) = 0.8110429055444521 " " y[1] (numeric) = 0.8109368291604786 " " absolute error = 1.06076383973530140000E-4 " " relative error = 1.307901015450239000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19019999999999354 " " y[1] (analytic) = 0.8109447079549695 " " y[1] (numeric) = 0.8108382814270757 " " absolute error = 1.06426527893832560000E-4 " " relative error = 1.312377118314486400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19029999999999353 " " y[1] (analytic) = 0.8108465122560398 " " y[1] (numeric) = 0.8107397348223843 " " absolute error = 1.06777433655502740000E-4 " " relative error = 1.316863697895339600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19039999999999352 " " y[1] (analytic) = 0.810748318448645 " " y[1] (numeric) = 0.8106411893465933 " " absolute error = 1.07129102051684020000E-4 " " relative error = 1.321360767749404400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1904999999999935 " " y[1] (analytic) = 0.810650126533767 " " y[1] (numeric) = 0.810542644999892 " " absolute error = 1.07481533874964620000E-4 " " relative error = 1.325868341432838200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1905999999999935 " " y[1] (analytic) = 0.8105519365123877 " " y[1] (numeric) = 0.8104441017824697 " " absolute error = 1.07834729917932750000E-4 " " relative error = 1.330386432508198800E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19069999999999349 " " y[1] (analytic) = 0.810453748385489 " " y[1] (numeric) = 0.8103455596945158 " " absolute error = 1.08188690973176630000E-4 " " relative error = 1.334915054544446600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19079999999999347 " " y[1] (analytic) = 0.8103555621540529 " " y[1] (numeric) = 0.8102470187362198 " " absolute error = 1.08543417833062430000E-4 " " relative error = 1.339454221114209400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19089999999999346 " " y[1] (analytic) = 0.8102573778190612 " " y[1] (numeric) = 0.8101484789077713 " " absolute error = 1.0889891128984530000E-4 " " relative error = 1.344003945795154000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19099999999999345 " " y[1] (analytic) = 0.8101591953814955 " " y[1] (numeric) = 0.81004994020936 " " absolute error = 1.09255172135447330000E-4 " " relative error = 1.348564242167247200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19109999999999344 " " y[1] (analytic) = 0.8100610148423381 " " y[1] (numeric) = 0.8099514026411757 " " absolute error = 1.09612201162345710000E-4 " " relative error = 1.353135123823722100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19119999999999343 " " y[1] (analytic) = 0.8099628362025704 " " y[1] (numeric) = 0.8098528662034082 " " absolute error = 1.09969999162129460000E-4 " " relative error = 1.357716604353266200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19129999999999342 " " y[1] (analytic) = 0.8098646594631744 " " y[1] (numeric) = 0.8097543308962476 " " absolute error = 1.10328566926831680000E-4 " " relative error = 1.362308697356468300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1913999999999934 " " y[1] (analytic) = 0.8097664846251318 " " y[1] (numeric) = 0.809655796719884 " " absolute error = 1.10687905247819350000E-4 " " relative error = 1.366911416432115300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1914999999999934 " " y[1] (analytic) = 0.8096683116894243 " " y[1] (numeric) = 0.8095572636745074 " " absolute error = 1.11048014916903530000E-4 " " relative error = 1.371524775190902400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1915999999999934 " " y[1] (analytic) = 0.8095701406570337 " " y[1] (numeric) = 0.8094587317603082 " " absolute error = 1.11408896725451180000E-4 " " relative error = 1.3761487872444700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19169999999999338 " " y[1] (analytic) = 0.8094719715289418 " " y[1] (numeric) = 0.8093602009774769 " " absolute error = 1.1177055146494030000E-4 " " relative error = 1.380783466212258700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19179999999999336 " " y[1] (analytic) = 0.80937380430613 " " y[1] (numeric) = 0.8092616713262037 " " absolute error = 1.12132979926293790000E-4 " " relative error = 1.385428825713287400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19189999999999335 " " y[1] (analytic) = 0.8092756389895803 " " y[1] (numeric) = 0.8091631428066794 " " absolute error = 1.1249618290087860000E-4 " " relative error = 1.390084879378496000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19199999999999334 " " y[1] (analytic) = 0.8091774755802742 " " y[1] (numeric) = 0.8090646154190947 " " absolute error = 1.12860161179506590000E-4 " " relative error = 1.39475164083840500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19209999999999333 " " y[1] (analytic) = 0.8090793140791933 " " y[1] (numeric) = 0.8089660891636402 " " absolute error = 1.13224915553100660000E-4 " " relative error = 1.399429123731349100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19219999999999332 " " y[1] (analytic) = 0.8089811544873192 " " y[1] (numeric) = 0.808867564040507 " " absolute error = 1.13590446812250610000E-4 " " relative error = 1.404117341697990700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1922999999999933 " " y[1] (analytic) = 0.8088829968056337 " " y[1] (numeric) = 0.8087690400498858 " " absolute error = 1.13956755747879330000E-4 " " relative error = 1.408816308389555200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1923999999999933 " " y[1] (analytic) = 0.8087848410351182 " " y[1] (numeric) = 0.8086705171919679 " " absolute error = 1.14323843150243580000E-4 " " relative error = 1.41352603745548600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1924999999999933 " " y[1] (analytic) = 0.8086866871767542 " " y[1] (numeric) = 0.8085719954669444 " " absolute error = 1.14691709809822130000E-4 " " relative error = 1.418246542554422200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19259999999999328 " " y[1] (analytic) = 0.8085885352315233 " " y[1] (numeric) = 0.8084734748750064 " " absolute error = 1.15060356516871740000E-4 " " relative error = 1.422977837348714000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19269999999999327 " " y[1] (analytic) = 0.8084903852004071 " " y[1] (numeric) = 0.8083749554163455 " " absolute error = 1.15429784061538140000E-4 " " relative error = 1.427719935505796200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19279999999999325 " " y[1] (analytic) = 0.808392237084387 " " y[1] (numeric) = 0.808276437091153 " " absolute error = 1.15799993233967060000E-4 " " relative error = 1.432472850699565100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19289999999999324 " " y[1] (analytic) = 0.8082940908844447 " " y[1] (numeric) = 0.8081779198996205 " " absolute error = 1.16170984824193190000E-4 " " relative error = 1.437236596609008400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19299999999999323 " " y[1] (analytic) = 0.8081959466015614 " " y[1] (numeric) = 0.8080794038419397 " " absolute error = 1.16542759621696130000E-4 " " relative error = 1.442011186912713300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19309999999999322 " " y[1] (analytic) = 0.8080978042367185 " " y[1] (numeric) = 0.8079808889183022 " " absolute error = 1.16915318416288550000E-4 " " relative error = 1.446796635299855000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1931999999999932 " " y[1] (analytic) = 0.8079996637908977 " " y[1] (numeric) = 0.8078823751289002 " " absolute error = 1.17288661997561050000E-4 " " relative error = 1.451592955463335300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1932999999999932 " " y[1] (analytic) = 0.8079015252650802 " " y[1] (numeric) = 0.8077838624739253 " " absolute error = 1.17662791154882210000E-4 " " relative error = 1.456400161099781800E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1933999999999932 " " y[1] (analytic) = 0.8078033886602475 " " y[1] (numeric) = 0.8076853509535697 " " absolute error = 1.18037706677731610000E-4 " " relative error = 1.461218265913673500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19349999999999318 " " y[1] (analytic) = 0.8077052539773808 " " y[1] (numeric) = 0.8075868405680255 " " absolute error = 1.1841340935525580000E-4 " " relative error = 1.466047283611849300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19359999999999317 " " y[1] (analytic) = 0.8076071212174617 " " y[1] (numeric) = 0.8074883313174851 " " absolute error = 1.18789899976601280000E-4 " " relative error = 1.47088722790762900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19369999999999316 " " y[1] (analytic) = 0.8075089903814713 " " y[1] (numeric) = 0.8073898232021406 " " absolute error = 1.19167179330692540000E-4 " " relative error = 1.475738112518070700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19379999999999314 " " y[1] (analytic) = 0.807410861470391 " " y[1] (numeric) = 0.8072913162221845 " " absolute error = 1.19545248206454070000E-4 " " relative error = 1.480599951166720600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19389999999999313 " " y[1] (analytic) = 0.8073127344852021 " " y[1] (numeric) = 0.8071928103778095 " " absolute error = 1.1992410739258830000E-4 " " relative error = 1.485472757580866300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19399999999999312 " " y[1] (analytic) = 0.8072146094268858 " " y[1] (numeric) = 0.8070943056692081 " " absolute error = 1.20303757677686640000E-4 " " relative error = 1.490356545492915200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1940999999999931 " " y[1] (analytic) = 0.8071164862964235 " " y[1] (numeric) = 0.8069958020965732 " " absolute error = 1.20684199850340510000E-4 " " relative error = 1.495251328641771200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1941999999999931 " " y[1] (analytic) = 0.8070183650947963 " " y[1] (numeric) = 0.8068972996600974 " " absolute error = 1.21065434698919280000E-4 " " relative error = 1.500157120770087300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1942999999999931 " " y[1] (analytic) = 0.8069202458229855 " " y[1] (numeric) = 0.8067987983599737 " " absolute error = 1.21447463011792320000E-4 " " relative error = 1.5050739356270199E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19439999999999308 " " y[1] (analytic) = 0.8068221284819721 " " y[1] (numeric) = 0.8067002981963952 " " absolute error = 1.21830285576884910000E-4 " " relative error = 1.510001786962727500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19449999999999307 " " y[1] (analytic) = 0.8067240130727376 " " y[1] (numeric) = 0.806601799169555 " " absolute error = 1.22213903182566420000E-4 " " relative error = 1.514940688539379300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19459999999999306 " " y[1] (analytic) = 0.8066258995962627 " " y[1] (numeric) = 0.8065033012796463 " " absolute error = 1.22598316616429060000E-4 " " relative error = 1.519890654116024500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19469999999999305 " " y[1] (analytic) = 0.8065277880535291 " " y[1] (numeric) = 0.8064048045268625 " " absolute error = 1.22983526666620160000E-4 " " relative error = 1.524851697465106600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19479999999999303 " " y[1] (analytic) = 0.8064296784455174 " " y[1] (numeric) = 0.8063063089113969 " " absolute error = 1.23369534120509880000E-4 " " relative error = 1.529823832355951000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19489999999999302 " " y[1] (analytic) = 0.806331570773209 " " y[1] (numeric) = 0.8062078144334431 " " absolute error = 1.2375633976591250000E-4 " " relative error = 1.534807072569908400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.194999999999993 " " y[1] (analytic) = 0.8062334650375849 " " y[1] (numeric) = 0.8061093210931948 " " absolute error = 1.24143944390087140000E-4 " " relative error = 1.539801431887968300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.195099999999993 " " y[1] (analytic) = 0.8061353612396261 " " y[1] (numeric) = 0.8060108288908455 " " absolute error = 1.24532348780626020000E-4 " " relative error = 1.544806924101775000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.195199999999993 " " y[1] (analytic) = 0.8060372593803138 " " y[1] (numeric) = 0.8059123378265892 " " absolute error = 1.24921553724566260000E-4 " " relative error = 1.549823563002617200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19529999999999298 " " y[1] (analytic) = 0.8059391594606288 " " y[1] (numeric) = 0.8058138479006198 " " absolute error = 1.25311560008944940000E-4 " " relative error = 1.554851362388311700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19539999999999297 " " y[1] (analytic) = 0.8058410614815522 " " y[1] (numeric) = 0.8057153591131313 " " absolute error = 1.2570236842091020000E-4 " " relative error = 1.55989033606458700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19549999999999296 " " y[1] (analytic) = 0.8057429654440651 " " y[1] (numeric) = 0.8056168714643177 " " absolute error = 1.26093979747388120000E-4 " " relative error = 1.564940497840953000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19559999999999295 " " y[1] (analytic) = 0.8056448713491482 " " y[1] (numeric) = 0.8055183849543733 " " absolute error = 1.26486394774860680000E-4 " " relative error = 1.57000186152794800E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19569999999999294 " " y[1] (analytic) = 0.8055467791977826 " " y[1] (numeric) = 0.8054198995834925 " " absolute error = 1.26879614290142940000E-4 " " relative error = 1.575074440946783400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19579999999999292 " " y[1] (analytic) = 0.8054486889909493 " " y[1] (numeric) = 0.8053214153518695 " " absolute error = 1.27273639079827920000E-4 " " relative error = 1.58015824992246120E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1958999999999929 " " y[1] (analytic) = 0.805350600729629 " " y[1] (numeric) = 0.805222932259699 " " absolute error = 1.27668469930064530000E-4 " " relative error = 1.58525330228101700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1959999999999929 " " y[1] (analytic) = 0.8052525144148028 " " y[1] (numeric) = 0.8051244503071754 " " absolute error = 1.2806410762744580000E-4 " " relative error = 1.590359611860550400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1960999999999929 " " y[1] (analytic) = 0.8051544300474514 " " y[1] (numeric) = 0.8050259694944936 " " absolute error = 1.28460552957787580000E-4 " " relative error = 1.595477192496063700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19619999999999288 " " y[1] (analytic) = 0.8050563476285557 " " y[1] (numeric) = 0.8049274898218483 " " absolute error = 1.28857806707460830000E-4 " " relative error = 1.600606058036007600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19629999999999287 " " y[1] (analytic) = 0.8049582671590965 " " y[1] (numeric) = 0.8048290112894343 " " absolute error = 1.2925586966217040000E-4 " " relative error = 1.6057462223271202E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19639999999999286 " " y[1] (analytic) = 0.8048601886400547 " " y[1] (numeric) = 0.8047305338974468 " " absolute error = 1.29654742607954180000E-4 " " relative error = 1.610897699226836500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19649999999999285 " " y[1] (analytic) = 0.8047621120724109 " " y[1] (numeric) = 0.8046320576460807 " " absolute error = 1.30054426330183940000E-4 " " relative error = 1.61606050259088100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19659999999999284 " " y[1] (analytic) = 0.8046640374571461 " " y[1] (numeric) = 0.8045335825355313 " " absolute error = 1.30454921614786560000E-4 " " relative error = 1.621234646288441700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19669999999999283 " " y[1] (analytic) = 0.8045659647952408 " " y[1] (numeric) = 0.8044351085659939 " " absolute error = 1.30856229246911760000E-4 " " relative error = 1.626420144185619600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19679999999999281 " " y[1] (analytic) = 0.8044678940876759 " " y[1] (numeric) = 0.8043366357376638 " " absolute error = 1.31258350012153360000E-4 " " relative error = 1.63161701016060700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1968999999999928 " " y[1] (analytic) = 0.8043698253354321 " " y[1] (numeric) = 0.8042381640507364 " " absolute error = 1.31661284695661070000E-4 " " relative error = 1.63682525809265300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1969999999999928 " " y[1] (analytic) = 0.8042717585394901 " " y[1] (numeric) = 0.8041396935054075 " " absolute error = 1.32065034082584630000E-4 " " relative error = 1.642044901867584200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19709999999999278 " " y[1] (analytic) = 0.8041736937008304 " " y[1] (numeric) = 0.8040412241018726 " " absolute error = 1.32469598957740700000E-4 " " relative error = 1.64727595537366820E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19719999999999277 " " y[1] (analytic) = 0.8040756308204338 " " y[1] (numeric) = 0.8039427558403276 " " absolute error = 1.32874980106167940000E-4 " " relative error = 1.65251843250851570E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19729999999999276 " " y[1] (analytic) = 0.8039775698992808 " " y[1] (numeric) = 0.8038442887209684 " " absolute error = 1.332811783124610000E-4 " " relative error = 1.65777234717080400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19739999999999275 " " y[1] (analytic) = 0.8038795109383522 " " y[1] (numeric) = 0.8037458227439909 " " absolute error = 1.3368819436132550000E-4 " " relative error = 1.663037713267178600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19749999999999274 " " y[1] (analytic) = 0.8037814539386285 " " y[1] (numeric) = 0.8036473579095911 " " absolute error = 1.3409602903746710000E-4 " " relative error = 1.668314544710878300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19759999999999273 " " y[1] (analytic) = 0.8036833989010902 " " y[1] (numeric) = 0.8035488942179653 " " absolute error = 1.34504683124925250000E-4 " " relative error = 1.673602855413451600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19769999999999271 " " y[1] (analytic) = 0.8035853458267179 " " y[1] (numeric) = 0.8034504316693096 " " absolute error = 1.3491415740829460000E-4 " " relative error = 1.678902659299949300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1977999999999927 " " y[1] (analytic) = 0.8034872947164922 " " y[1] (numeric) = 0.8033519702638207 " " absolute error = 1.35324452671503610000E-4 " " relative error = 1.684213970293735600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1978999999999927 " " y[1] (analytic) = 0.8033892455713936 " " y[1] (numeric) = 0.8032535100016946 " " absolute error = 1.35735569698924860000E-4 " " relative error = 1.68953680233030500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19799999999999268 " " y[1] (analytic) = 0.8032911983924024 " " y[1] (numeric) = 0.8031550508831283 " " absolute error = 1.36147509274042730000E-4 " " relative error = 1.694871169340705400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19809999999999267 " " y[1] (analytic) = 0.8031931531804993 " " y[1] (numeric) = 0.8030565929083182 " " absolute error = 1.36560272181118770000E-4 " " relative error = 1.70021708527226400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19819999999999266 " " y[1] (analytic) = 0.8030951099366647 " " y[1] (numeric) = 0.8029581360774611 " " absolute error = 1.36973859203526340000E-4 " " relative error = 1.70557456406786820E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19829999999999265 " " y[1] (analytic) = 0.8029970686618789 " " y[1] (numeric) = 0.802859680390754 " " absolute error = 1.37388271124971870000E-4 " " relative error = 1.71094361968116300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19839999999999264 " " y[1] (analytic) = 0.8028990293571224 " " y[1] (numeric) = 0.8027612258483936 " " absolute error = 1.37803508728828740000E-4 " " relative error = 1.716324266068267300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19849999999999263 " " y[1] (analytic) = 0.8028009920233757 " " y[1] (numeric) = 0.8026627724505772 " " absolute error = 1.38219572798581320000E-4 " " relative error = 1.721716517193300500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19859999999999262 " " y[1] (analytic) = 0.8027029566616191 " " y[1] (numeric) = 0.8025643201975017 " " absolute error = 1.38636464117380950000E-4 " " relative error = 1.7271203870228600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1986999999999926 " " y[1] (analytic) = 0.8026049232728328 " " y[1] (numeric) = 0.8024658690893646 " " absolute error = 1.39054183468267920000E-4 " " relative error = 1.732535889528784300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1987999999999926 " " y[1] (analytic) = 0.8025068918579974 " " y[1] (numeric) = 0.802367419126363 " " absolute error = 1.39472731634393550000E-4 " " relative error = 1.73796303869092620E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19889999999999258 " " y[1] (analytic) = 0.802408862418093 " " y[1] (numeric) = 0.8022689703086946 " " absolute error = 1.39892109398354060000E-4 " " relative error = 1.743401848488852500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19899999999999257 " " y[1] (analytic) = 0.8023108349540999 " " y[1] (numeric) = 0.8021705226365567 " " absolute error = 1.40312317543189740000E-4 " " relative error = 1.748852332914299600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19909999999999256 " " y[1] (analytic) = 0.8022128094669987 " " y[1] (numeric) = 0.8020720761101472 " " absolute error = 1.4073335685149680000E-4 " " relative error = 1.754314505960107900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19919999999999255 " " y[1] (analytic) = 0.8021147859577692 " " y[1] (numeric) = 0.8019736307296637 " " absolute error = 1.41155228105538380000E-4 " " relative error = 1.75978838162160620E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19929999999999254 " " y[1] (analytic) = 0.8020167644273919 " " y[1] (numeric) = 0.8018751864953039 " " absolute error = 1.41577932088021720000E-4 " " relative error = 1.765273973906302800E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19939999999999253 " " y[1] (analytic) = 0.8019187448768469 " " y[1] (numeric) = 0.8017767434072659 " " absolute error = 1.42001469580987920000E-4 " " relative error = 1.77077129682004790E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19949999999999252 " " y[1] (analytic) = 0.8018207273071145 " " y[1] (numeric) = 0.8016783014657477 " " absolute error = 1.42425841366811130000E-4 " " relative error = 1.776280364379492800E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1995999999999925 " " y[1] (analytic) = 0.8017227117191749 " " y[1] (numeric) = 0.8015798606709474 " " absolute error = 1.42851048227421450000E-4 " " relative error = 1.78180119060240500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1996999999999925 " " y[1] (analytic) = 0.801624698114008 " " y[1] (numeric) = 0.8014814210230633 " " absolute error = 1.43277090944748940000E-4 " " relative error = 1.787333789513205500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19979999999999248 " " y[1] (analytic) = 0.8015266864925943 " " y[1] (numeric) = 0.8013829825222937 " " absolute error = 1.43703970300612660000E-4 " " relative error = 1.792878175141588400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19989999999999247 " " y[1] (analytic) = 0.8014286768559136 " " y[1] (numeric) = 0.801284545168837 " " absolute error = 1.44131687076609620000E-4 " " relative error = 1.79843436152113900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19999999999999246 " " y[1] (analytic) = 0.8013306692049462 " " y[1] (numeric) = 0.8011861089628917 " " absolute error = 1.44560242054558860000E-4 " " relative error = 1.804002362694875600E-2 "%" h = 1.0000E-4 " " "Finished!" "Maximum Iterations Reached before Solution Completed!" "diff ( y , x , 3 ) = sin(x);" Iterations = 1000 "Total Elapsed Time "= 12 Minutes 36 Seconds "Elapsed Time(since restart) "= 12 Minutes 36 Seconds "Expected Time Remaining "= 10 Hours 4 Minutes 49 Seconds "Optimized Time Remaining "= 10 Hours 4 Minutes 22 Seconds "Time to Timeout "= 2 Minutes 23 Seconds Percent Done = 2.0428571428569886 "%" (%o53) true (%o53) diffeq.max