(%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 : array_y_higher , 1 2, 1 array_tmp2 : array_m1 array_tmp1 , array_tmp3 : 1 1 1 1 array_tmp2 + array_const_0D0 , if not array_y_set_initial 1 1 1, 4 then (if 1 <= glob_max_terms then (temporary : 3 array_tmp3 glob_h factorial_3(0, 3), array_y : temporary, 1 4 temporary 2.0 array_y_higher : temporary, temporary : -------------, 1, 4 glob_h temporary 3.0 array_y_higher : temporary, temporary : -------------, 2, 3 glob_h temporary 4.0 array_y_higher : temporary, temporary : -------------, 3, 2 glob_h array_y_higher : temporary)), kkk : 2, array_tmp1 : array_y_higher , 4, 1 2 2, 2 array_tmp2 : ats(2, array_m1, array_tmp1, 1), 2 array_tmp3 : array_tmp2 + array_const_0D0 , 2 2 2 if not array_y_set_initial then (if 2 <= glob_max_terms 1, 5 3 then (temporary : array_tmp3 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 : array_y_higher , array_tmp2 : 3 2, 3 3 ats(3, array_m1, array_tmp1, 1), array_tmp3 : array_tmp2 + array_const_0D0 , 3 3 3 if not array_y_set_initial then (if 3 <= glob_max_terms 1, 6 3 then (temporary : array_tmp3 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 : array_y_higher , array_tmp2 : 4 2, 4 4 ats(4, array_m1, array_tmp1, 1), array_tmp3 : array_tmp2 + array_const_0D0 , 4 4 4 if not array_y_set_initial then (if 4 <= glob_max_terms 1, 7 3 then (temporary : array_tmp3 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 : array_y_higher , array_tmp2 : 5 2, 5 5 ats(5, array_m1, array_tmp1, 1), array_tmp3 : array_tmp2 + array_const_0D0 , 5 5 5 if not array_y_set_initial then (if 5 <= glob_max_terms 1, 8 3 then (temporary : array_tmp3 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 : array_y_higher , kkk 2, kkk array_tmp2 : ats(kkk, array_m1, array_tmp1, 1), kkk array_tmp3 : array_tmp2 + 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_tmp3 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 : array_y_higher , 1 2, 1 array_tmp2 : array_m1 array_tmp1 , array_tmp3 : 1 1 1 1 array_tmp2 + array_const_0D0 , if not array_y_set_initial 1 1 1, 4 then (if 1 <= glob_max_terms then (temporary : 3 array_tmp3 glob_h factorial_3(0, 3), array_y : temporary, 1 4 temporary 2.0 array_y_higher : temporary, temporary : -------------, 1, 4 glob_h temporary 3.0 array_y_higher : temporary, temporary : -------------, 2, 3 glob_h temporary 4.0 array_y_higher : temporary, temporary : -------------, 3, 2 glob_h array_y_higher : temporary)), kkk : 2, array_tmp1 : array_y_higher , 4, 1 2 2, 2 array_tmp2 : ats(2, array_m1, array_tmp1, 1), 2 array_tmp3 : array_tmp2 + array_const_0D0 , 2 2 2 if not array_y_set_initial then (if 2 <= glob_max_terms 1, 5 3 then (temporary : array_tmp3 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 : array_y_higher , array_tmp2 : 3 2, 3 3 ats(3, array_m1, array_tmp1, 1), array_tmp3 : array_tmp2 + array_const_0D0 , 3 3 3 if not array_y_set_initial then (if 3 <= glob_max_terms 1, 6 3 then (temporary : array_tmp3 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 : array_y_higher , array_tmp2 : 4 2, 4 4 ats(4, array_m1, array_tmp1, 1), array_tmp3 : array_tmp2 + array_const_0D0 , 4 4 4 if not array_y_set_initial then (if 4 <= glob_max_terms 1, 7 3 then (temporary : array_tmp3 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 : array_y_higher , array_tmp2 : 5 2, 5 5 ats(5, array_m1, array_tmp1, 1), array_tmp3 : array_tmp2 + array_const_0D0 , 5 5 5 if not array_y_set_initial then (if 5 <= glob_max_terms 1, 8 3 then (temporary : array_tmp3 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 : array_y_higher , kkk 2, kkk array_tmp2 : ats(kkk, array_m1, array_tmp1, 1), kkk array_tmp3 : array_tmp2 + 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_tmp3 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) factorial_1(nnn) := (if nnn <= glob_max_terms then ret : array_fact_1 nnn else ret : nnn!, ret) (%o39) factorial_1(nnn) := (if nnn <= glob_max_terms then ret : array_fact_1 nnn else ret : nnn!, ret) (%i40) factorial_3(mmm, nnn) := (if (nnn <= glob_max_terms) mmm! and (mmm <= glob_max_terms) then ret : array_fact_2 else ret : ----, mmm, nnn nnn! ret) (%o40) factorial_3(mmm, nnn) := (if (nnn <= glob_max_terms) mmm! and (mmm <= glob_max_terms) then ret : array_fact_2 else ret : ----, mmm, nnn nnn! ret) (%i41) convfp(mmm) := mmm (%o41) convfp(mmm) := mmm (%i42) convfloat(mmm) := mmm (%o42) convfloat(mmm) := mmm (%i43) elapsed_time_seconds() := (t : elapsed_real_time(), t) (%o43) elapsed_time_seconds() := (t : elapsed_real_time(), t) (%i44) arcsin(x) := asin(x) (%o44) arcsin(x) := asin(x) (%i45) arccos(x) := acos(x) (%o45) arccos(x) := acos(x) (%i46) arctan(x) := atan(x) (%o46) arctan(x) := atan(x) (%i47) exact_soln_y(x) := 2.0 - cos(x) (%o47) exact_soln_y(x) := 2.0 - cos(x) (%i48) exact_soln_yp(x) := sin(x) (%o48) exact_soln_yp(x) := sin(x) (%i49) exact_soln_ypp(x) := cos(x) (%o49) exact_soln_ypp(x) := cos(x) (%i50) exact_soln_yppp(x) := - sin(x) (%o50) exact_soln_yppp(x) := - sin(x) (%i51) mainprog() := (define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(DEBUGL, 3, fixnum), define_variable(INFO, 2, fixnum), define_variable(glob_max_terms, 30, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(glob_iolevel, 5, fixnum), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(glob_clock_sec, 0.0, float), define_variable(centuries_in_millinium, 10.0, float), define_variable(glob_log10normmin, 0.1, float), define_variable(glob_subiter_method, 3, fixnum), define_variable(glob_log10abserr, 0.0, float), define_variable(glob_start, 0, fixnum), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_initial_pass, true, boolean), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_current_iter, 0, fixnum), define_variable(glob_warned, false, boolean), define_variable(glob_no_eqs, 0, fixnum), define_variable(glob_optimal_done, false, boolean), define_variable(sec_in_min, 60.0, float), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_max_hours, 0.0, float), define_variable(glob_log10_abserr, 1.0E-11, float), define_variable(glob_last_good_h, 0.1, float), define_variable(glob_disp_incr, 0.1, float), define_variable(glob_not_yet_finished, true, boolean), define_variable(glob_display_flag, true, boolean), define_variable(glob_normmax, 0.0, float), define_variable(glob_iter, 0, fixnum), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_small_float, 1.0E-51, float), define_variable(glob_abserr, 1.0E-11, float), define_variable(glob_dump_analytic, false, boolean), define_variable(glob_look_poles, false, boolean), define_variable(days_in_year, 365.0, float), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_max_sec, 10000.0, float), define_variable(glob_reached_optimal_h, false, boolean), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_warned2, false, boolean), define_variable(glob_log10_relerr, 1.0E-11, float), define_variable(glob_hmin_init, 0.001, float), define_variable(glob_hmin, 1.0E-11, float), define_variable(glob_dump, false, boolean), define_variable(glob_max_minutes, 0.0, float), define_variable(glob_log10relerr, 0.0, float), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_h, 0.1, float), define_variable(glob_almost_1, 0.999, float), define_variable(glob_percent_done, 0.0, float), define_variable(glob_optimal_clock_start_sec, 0.0, float), define_variable(glob_relerr, 1.0E-11, float), define_variable(glob_large_float, 9.0E+100, float), define_variable(years_in_century, 100.0, float), define_variable(hours_in_day, 24.0, float), define_variable(min_in_hour, 60.0, float), define_variable(glob_html_log, true, boolean), define_variable(glob_smallish_float, 1.0E-101, float), define_variable(glob_hmax, 1.0, float), define_variable(glob_clock_start_sec, 0.0, float), define_variable(djd_debug2, true, boolean), define_variable(djd_debug, true, boolean), 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/diff2postode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 3 ) = m1 * diff ( y , x , 1 ) ;"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits : 32,"), omniout_str(ALWAYS, "max_terms : 30,"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "x_start : 0.1,"), omniout_str(ALWAYS, "x_end : 5.0 ,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS, "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 : 0.001 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_h : 0.001 ,"), 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, "2.0 - cos(x) "), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, "exact_soln_yp (x) := ("), omniout_str(ALWAYS, "sin(x)"), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, "exact_soln_ypp (x) := ("), omniout_str(ALWAYS, "cos(x)"), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, "exact_soln_yppp (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 : 32, max_terms : 30, glob_max_terms : max_terms, glob_html_log : true, array(array_fact_1, 1 + max_terms), array(array_y_init, 1 + max_terms), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_m1, 1 + max_terms), array(array_1st_rel_error, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms), array(array_tmp3, 1 + max_terms), array(array_pole, 1 + max_terms), array(array_type_pole, 1 + max_terms), array(array_poles, 1 + 1, 1 + 3), array(array_y_higher, 1 + 4, 1 + max_terms), array(array_fact_2, 1 + max_terms, 1 + max_terms), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_y_higher_work2, 1 + 4, 1 + max_terms), array(array_y_higher_work, 1 + 4, 1 + max_terms), array(array_real_pole, 1 + 1, 1 + 3), array(array_complex_pole, 1 + 1, 1 + 3), term : 1, while term <= max_terms do (array_fact_1 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_y_init : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_y : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_x : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_norms : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_last_rel_error : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp3 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_pole : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_type_pole : 0.0, term : 1 + term), term 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 <= 4 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= max_terms do (term : 1, while term <= max_terms do (array_fact_2 : 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 <= 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 <= 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_real_pole : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_complex_pole : 0.0, term : 1 + term), ord, term ord : 1 + ord), 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_m1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_m1 : 0.0, term : 1 + term), term array(array_tmp3, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp3 : 0.0, term : 1 + term), term array(array_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_const_1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term), term array_const_1 : 1, array(array_const_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_const_0D0, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term), term array_const_0D0 : 0.0, array(array_m1, 1 + 1 + max_terms), term : 1, 1 while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term array_m1 : - 1.0, iiif : 0, while iiif <= glob_max_terms do (jjjf : 0, 1 while jjjf <= glob_max_terms do (temp1 : iiif!, temp2 : jjjf!, temp1 array_fact_1 : temp1, array_fact_2 : -----, jjjf : 1 + jjjf), iiif iiif, jjjf temp2 iiif : 1 + iiif), x_start : 0.1, x_end : 5.0, 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 : 0.001, 1 + 2 glob_look_poles : true, glob_h : 0.001, 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, factorial_1(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, factorial_1(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, factorial_1(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, factorial_1(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, factorial_1(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, factorial_1(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, factorial_1(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, factorial_1(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, factorial_1(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, factorial_1(calc_term - 1)! while term_no >= 1 do (array_y : array_y_higher_work2 , term_no 1, term_no ord : 1, while ord <= order_diff do (array_y_higher : ord, term_no array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1), ord, term_no 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 ) = m1 * diff ( y , x , 1 ) ;"), 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, "2012-06-16T21:30:41-05:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "diff2"), logitem_str(html_log_file, "diff ( y , x , 3 ) = m1 * diff ( y , x , 1 ) ;"), 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, " 091 "), logitem_str(html_log_file, "diff2 diffeq.max"), logitem_str(html_log_file, "diff2 maxima results"), logitem_str(html_log_file, "Test of revised logic - mostly for speeding factorials"), logend(html_log_file)), if glob_html_log then close(html_log_file)) (%o51) mainprog() := (define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(DEBUGL, 3, fixnum), define_variable(INFO, 2, fixnum), define_variable(glob_max_terms, 30, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(glob_iolevel, 5, fixnum), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(glob_clock_sec, 0.0, float), define_variable(centuries_in_millinium, 10.0, float), define_variable(glob_log10normmin, 0.1, float), define_variable(glob_subiter_method, 3, fixnum), define_variable(glob_log10abserr, 0.0, float), define_variable(glob_start, 0, fixnum), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_initial_pass, true, boolean), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_current_iter, 0, fixnum), define_variable(glob_warned, false, boolean), define_variable(glob_no_eqs, 0, fixnum), define_variable(glob_optimal_done, false, boolean), define_variable(sec_in_min, 60.0, float), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_max_hours, 0.0, float), define_variable(glob_log10_abserr, 1.0E-11, float), define_variable(glob_last_good_h, 0.1, float), define_variable(glob_disp_incr, 0.1, float), define_variable(glob_not_yet_finished, true, boolean), define_variable(glob_display_flag, true, boolean), define_variable(glob_normmax, 0.0, float), define_variable(glob_iter, 0, fixnum), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_small_float, 1.0E-51, float), define_variable(glob_abserr, 1.0E-11, float), define_variable(glob_dump_analytic, false, boolean), define_variable(glob_look_poles, false, boolean), define_variable(days_in_year, 365.0, float), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_max_sec, 10000.0, float), define_variable(glob_reached_optimal_h, false, boolean), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_warned2, false, boolean), define_variable(glob_log10_relerr, 1.0E-11, float), define_variable(glob_hmin_init, 0.001, float), define_variable(glob_hmin, 1.0E-11, float), define_variable(glob_dump, false, boolean), define_variable(glob_max_minutes, 0.0, float), define_variable(glob_log10relerr, 0.0, float), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_h, 0.1, float), define_variable(glob_almost_1, 0.999, float), define_variable(glob_percent_done, 0.0, float), define_variable(glob_optimal_clock_start_sec, 0.0, float), define_variable(glob_relerr, 1.0E-11, float), define_variable(glob_large_float, 9.0E+100, float), define_variable(years_in_century, 100.0, float), define_variable(hours_in_day, 24.0, float), define_variable(min_in_hour, 60.0, float), define_variable(glob_html_log, true, boolean), define_variable(glob_smallish_float, 1.0E-101, float), define_variable(glob_hmax, 1.0, float), define_variable(glob_clock_start_sec, 0.0, float), define_variable(djd_debug2, true, boolean), define_variable(djd_debug, true, boolean), 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/diff2postode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 3 ) = m1 * diff ( y , x , 1 ) ;"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits : 32,"), omniout_str(ALWAYS, "max_terms : 30,"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "x_start : 0.1,"), omniout_str(ALWAYS, "x_end : 5.0 ,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS, "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 : 0.001 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_h : 0.001 ,"), 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, "2.0 - cos(x) "), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, "exact_soln_yp (x) := ("), omniout_str(ALWAYS, "sin(x)"), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, "exact_soln_ypp (x) := ("), omniout_str(ALWAYS, "cos(x)"), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, "exact_soln_yppp (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 : 32, max_terms : 30, glob_max_terms : max_terms, glob_html_log : true, array(array_fact_1, 1 + max_terms), array(array_y_init, 1 + max_terms), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_m1, 1 + max_terms), array(array_1st_rel_error, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms), array(array_tmp3, 1 + max_terms), array(array_pole, 1 + max_terms), array(array_type_pole, 1 + max_terms), array(array_poles, 1 + 1, 1 + 3), array(array_y_higher, 1 + 4, 1 + max_terms), array(array_fact_2, 1 + max_terms, 1 + max_terms), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_y_higher_work2, 1 + 4, 1 + max_terms), array(array_y_higher_work, 1 + 4, 1 + max_terms), array(array_real_pole, 1 + 1, 1 + 3), array(array_complex_pole, 1 + 1, 1 + 3), term : 1, while term <= max_terms do (array_fact_1 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_y_init : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_y : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_x : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_norms : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_last_rel_error : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp3 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_pole : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_type_pole : 0.0, term : 1 + term), term 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 <= 4 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= max_terms do (term : 1, while term <= max_terms do (array_fact_2 : 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 <= 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 <= 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_real_pole : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_complex_pole : 0.0, term : 1 + term), ord, term ord : 1 + ord), 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_m1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_m1 : 0.0, term : 1 + term), term array(array_tmp3, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp3 : 0.0, term : 1 + term), term array(array_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_const_1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term), term array_const_1 : 1, array(array_const_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_const_0D0, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term), term array_const_0D0 : 0.0, array(array_m1, 1 + 1 + max_terms), term : 1, 1 while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term array_m1 : - 1.0, iiif : 0, while iiif <= glob_max_terms do (jjjf : 0, 1 while jjjf <= glob_max_terms do (temp1 : iiif!, temp2 : jjjf!, temp1 array_fact_1 : temp1, array_fact_2 : -----, jjjf : 1 + jjjf), iiif iiif, jjjf temp2 iiif : 1 + iiif), x_start : 0.1, x_end : 5.0, 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 : 0.001, 1 + 2 glob_look_poles : true, glob_h : 0.001, 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, factorial_1(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, factorial_1(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, factorial_1(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, factorial_1(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, factorial_1(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, factorial_1(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, factorial_1(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, factorial_1(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, factorial_1(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, factorial_1(calc_term - 1)! while term_no >= 1 do (array_y : array_y_higher_work2 , term_no 1, term_no ord : 1, while ord <= order_diff do (array_y_higher : ord, term_no array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1), ord, term_no 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 ) = m1 * diff ( y , x , 1 ) ;"), 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, "2012-06-16T21:30:41-05:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "diff2"), logitem_str(html_log_file, "diff ( y , x , 3 ) = m1 * diff ( y , x , 1 ) ;"), 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, " 091 "), logitem_str(html_log_file, "diff2 diffeq.max"), logitem_str(html_log_file, "diff2 maxima results"), logitem_str(html_log_file, "Test of revised logic - mostly for speeding factorials"), logend(html_log_file)), if glob_html_log then close(html_log_file)) (%i52) mainprog() "##############ECHO OF PROBLEM#################" "##############temp/diff2postode.ode#################" "diff ( y , x , 3 ) = m1 * diff ( y , x , 1 ) ;" "!" "/* BEGIN FIRST INPUT BLOCK */" "Digits : 32," "max_terms : 30," "!" "/* END FIRST INPUT BLOCK */" "/* BEGIN SECOND INPUT BLOCK */" "x_start : 0.1," "x_end : 5.0 ," "array_y_init[0 + 1] : exact_soln_y(x_start)," "array_y_init[1 + 1] : exact_soln_yp(x_start)," "array_y_init[2 + 1] : exact_soln_ypp(x_start)," "glob_h : 0.001 ," "glob_look_poles : true," "/* END SECOND INPUT BLOCK */" "/* BEGIN OVERRIDE BLOCK */" "glob_h : 0.001 ," "glob_look_poles : true," "glob_max_iter : 1000," "glob_max_minutes : 15," "/* END OVERRIDE BLOCK */" "!" "/* BEGIN USER DEF BLOCK */" "exact_soln_y (x) := (" "2.0 - cos(x) " ");" "exact_soln_yp (x) := (" "sin(x)" ");" "exact_soln_ypp (x) := (" "cos(x)" ");" "exact_soln_yppp (x) := (" "-sin(x)" ");" "/* END USER DEF BLOCK */" "#######END OF ECHO OF PROBLEM#################" "START of Soultion" x[1] = 0.1 " " y[1] (analytic) = 1.0049958347219743 " " y[1] (numeric) = 1.0049958347219743 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.101 " " y[1] (analytic) = 1.0050961656240234 " " y[1] (numeric) = 1.0050961656240234 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10200000000000001 " " y[1] (analytic) = 1.0051974914298238 " " y[1] (numeric) = 1.0051974914298238 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10300000000000001 " " y[1] (analytic) = 1.00529981203805 " " y[1] (numeric) = 1.00529981203805 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10400000000000001 " " y[1] (analytic) = 1.0054031273463815 " " y[1] (numeric) = 1.0054031273463813 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.208513171339405400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10500000000000001 " " y[1] (analytic) = 1.0055074372515027 " " y[1] (numeric) = 1.0055074372515018 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.83313625335194200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10600000000000001 " " y[1] (analytic) = 1.0056127416491036 " " y[1] (numeric) = 1.0056127416491014 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 2.20805281922840900000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10700000000000001 " " y[1] (analytic) = 1.0057190404338798 " " y[1] (numeric) = 1.0057190404338754 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 4.4156388811976450000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10800000000000001 " " y[1] (analytic) = 1.0058263334995332 " " y[1] (numeric) = 1.005826333499524 " " absolute error = 9.103828801926284000000000000000E-15 " " relative error = 9.0510941091109430000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10900000000000001 " " y[1] (analytic) = 1.00593462073877 " " y[1] (numeric) = 1.0059346207387534 " " absolute error = 1.665334536937734800000000000000E-14 " " relative error = 1.6555097146519263000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11000000000000001 " " y[1] (analytic) = 1.0060439020433032 " " y[1] (numeric) = 1.006043902043275 " " absolute error = 2.819966482547897600000000000000E-14 " " relative error = 2.8030252723767496000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11100000000000002 " " y[1] (analytic) = 1.0061541773038516 " " y[1] (numeric) = 1.006154177303806 " " absolute error = 4.55191440096314200000000000000E-14 " " relative error = 4.524072456927737400000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11200000000000002 " " y[1] (analytic) = 1.0062654464101397 " " y[1] (numeric) = 1.0062654464100693 " " absolute error = 7.03881397612349200000000000000E-14 " " relative error = 6.994987258316898000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11300000000000002 " " y[1] (analytic) = 1.0063777092508988 " " y[1] (numeric) = 1.0063777092507935 " " absolute error = 1.05249142734464840000000000000E-13 " " relative error = 1.045821482004082300000000000E-11 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11400000000000002 " " y[1] (analytic) = 1.0064909657138656 " " y[1] (numeric) = 1.0064909657137129 " " absolute error = 1.52766688188421540000000000000E-13 " " relative error = 1.517814798069945500000000000E-11 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11500000000000002 " " y[1] (analytic) = 1.0066052156857843 " " y[1] (numeric) = 1.006605215685568 " " absolute error = 2.1627144519698050000000000000E-13 " " relative error = 2.148522994187330400000000000E-11 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11600000000000002 " " y[1] (analytic) = 1.0067204590524041 " " y[1] (numeric) = 1.006720459052105 " " absolute error = 2.99094082834017170000000000000E-13 " " relative error = 2.97097451576126160000000000E-11 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11700000000000002 " " y[1] (analytic) = 1.0068366956984822 " " y[1] (numeric) = 1.0068366956980765 " " absolute error = 4.0567549319803220000000000000E-13 " " relative error = 4.02920845983468200000000000E-11 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11800000000000002 " " y[1] (analytic) = 1.006953925507782 " " y[1] (numeric) = 1.006953925507241 " " absolute error = 5.4090065759737630000000000000E-13 " " relative error = 5.371652504603063000000000000E-11 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11900000000000002 " " y[1] (analytic) = 1.0070721483630733 " " y[1] (numeric) = 1.0070721483623635 " " absolute error = 7.0987660194532510000000000000E-13 " " relative error = 7.04891504644608400000000000E-11 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12000000000000002 " " y[1] (analytic) = 1.0071913641461339 " " y[1] (numeric) = 1.0071913641452148 " " absolute error = 9.1904261978470460000000000000E-13 " " relative error = 9.12480639231692400000000000E-11 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12100000000000002 " " y[1] (analytic) = 1.007311572737747 " " y[1] (numeric) = 1.0073115727365725 " " absolute error = 1.1746159600534156000000000000E-12 " " relative error = 1.1660900081401390000000000E-10 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12200000000000003 " " y[1] (analytic) = 1.0074327740177051 " " y[1] (numeric) = 1.0074327740162203 " " absolute error = 1.4848122731336844000000000000E-12 " " relative error = 1.47385742396702050000000000E-10 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12300000000000003 " " y[1] (analytic) = 1.0075549678648064 " " y[1] (numeric) = 1.007554967862949 " " absolute error = 1.857403120197887000000000000E-12 " " relative error = 1.84347572037093370000000000E-10 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12400000000000003 " " y[1] (analytic) = 1.0076781541568571 " " y[1] (numeric) = 1.0076781541545556 " " absolute error = 2.3014923300479495000000000000E-12 " " relative error = 2.28395576559228930000000000E-10 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12500000000000003 " " y[1] (analytic) = 1.0078023327706709 " " y[1] (numeric) = 1.0078023327678438 " " absolute error = 2.8270719099054986000000000000E-12 " " relative error = 2.80518492364792870000000000E-10 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12600000000000003 " " y[1] (analytic) = 1.0079275035820694 " " y[1] (numeric) = 1.0079275035786242 " " absolute error = 3.4452440900167860000000000000E-12 " " relative error = 3.41814671965270040000000000E-10 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12700000000000003 " " y[1] (analytic) = 1.0080536664658815 " " y[1] (numeric) = 1.0080536664617141 " " absolute error = 4.1673331452329876000000000000E-12 " " relative error = 4.1340389741780030000000000E-10 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12800000000000003 " " y[1] (analytic) = 1.0081808212959444 " " y[1] (numeric) = 1.0081808212909382 " " absolute error = 5.006217662639756000000000000E-12 " " relative error = 4.9655950171762053000000000E-10 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12900000000000003 " " y[1] (analytic) = 1.0083089679451036 " " y[1] (numeric) = 1.0083089679391277 " " absolute error = 5.9758864523473680000000000000E-12 " " relative error = 5.9266421725138510000000000E-10 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13000000000000003 " " y[1] (analytic) = 1.008438106285212 " " y[1] (numeric) = 1.0084381062781211 " " absolute error = 7.09077241367595000000000000E-12 " " relative error = 7.0314403724748760000000000E-10 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13100000000000003 " " y[1] (analytic) = 1.0085682361871315 " " y[1] (numeric) = 1.0085682361787642 " " absolute error = 8.367306847389955000000000000E-12 " " relative error = 8.2962228505454040000000000E-10 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13200000000000003 " " y[1] (analytic) = 1.0086993575207321 " " y[1] (numeric) = 1.00869935751091 " " absolute error = 9.82214309885876000000000000E-12 " " relative error = 9.7374336819252740000000000E-10 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13300000000000003 " " y[1] (analytic) = 1.0088314701548928 " " y[1] (numeric) = 1.008831470143419 " " absolute error = 1.147393291489606800000000000E-11 " " relative error = 1.1373488292483971000000000E-9 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13400000000000004 " " y[1] (analytic) = 1.0089645739575008 " " y[1] (numeric) = 1.0089645739441588 " " absolute error = 1.334199417613035600000000000E-11 " " relative error = 1.3223451566588246000000000E-9 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13500000000000004 " " y[1] (analytic) = 1.0090986687954522 " " y[1] (numeric) = 1.0090986687800052 " " absolute error = 1.544697703081965300000000000E-11 " " relative error = 1.5307697362497272000000000E-9 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13600000000000004 " " y[1] (analytic) = 1.0092337545346521 " " y[1] (numeric) = 1.0092337545168408 " " absolute error = 1.781130798406138600000000000E-11 " " relative error = 1.7648347475530093000000000E-9 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13700000000000004 " " y[1] (analytic) = 1.009369831040015 " " y[1] (numeric) = 1.0093698310195567 " " absolute error = 2.045830171937268500000000000E-11 " " relative error = 2.0268390326559743000000000E-9 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13800000000000004 " " y[1] (analytic) = 1.0095068981754642 " " y[1] (numeric) = 1.0095068981520514 " " absolute error = 2.34128272325051500000000000E-11 " " relative error = 2.3192340017507956000000000E-9 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13900000000000004 " " y[1] (analytic) = 1.0096449558039327 " " y[1] (numeric) = 1.0096449557772313 " " absolute error = 2.670130783144486500000000000E-11 " " relative error = 2.6446235063081036000000000E-9 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14000000000000004 " " y[1] (analytic) = 1.0097840037873629 " " y[1] (numeric) = 1.0097840037570112 " " absolute error = 3.03517211364123800000000000E-11 " " relative error = 3.0057637101175305000000000E-9 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14100000000000004 " " y[1] (analytic) = 1.0099240419867068 " " y[1] (numeric) = 1.0099240419523134 " " absolute error = 3.4393377035257800000000000E-11 " " relative error = 3.4055409719328680000000000E-9 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14200000000000004 " " y[1] (analytic) = 1.010065070261926 " " y[1] (numeric) = 1.010065070223069 " " absolute error = 3.885713972806570400000000000E-11 " " relative error = 3.8469937108100793000000000E-9 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14300000000000004 " " y[1] (analytic) = 1.0102070884719927 " " y[1] (numeric) = 1.0102070884282166 " " absolute error = 4.37760938609699200000000000E-11 " " relative error = 4.33337821131153000000000E-9 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14400000000000004 " " y[1] (analytic) = 1.0103500964748884 " " y[1] (numeric) = 1.010350096425704 " " absolute error = 4.91844343031289100000000000E-11 " " relative error = 4.868058554627095000000000E-9 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14500000000000005 " " y[1] (analytic) = 1.0104940941276053 " " y[1] (numeric) = 1.010494094072487 " " absolute error = 5.511835432514545000000000000E-11 " " relative error = 5.454594405396406000000000E-9 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14600000000000005 " " y[1] (analytic) = 1.0106390812861454 " " y[1] (numeric) = 1.0106390812245298 " " absolute error = 6.16156015098567900000000000E-11 " " relative error = 6.096696897120226000000000E-9 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14700000000000005 " " y[1] (analytic) = 1.010785057805522 " " y[1] (numeric) = 1.0107850577368058 " " absolute error = 6.87161438861494400000000000E-11 " " relative error = 6.798294390633011000000000E-9 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14800000000000005 " " y[1] (analytic) = 1.010932023539758 " " y[1] (numeric) = 1.0109320234632968 " " absolute error = 7.64612817505394600000000000E-11 " " relative error = 7.563444422584599000000000E-9 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14900000000000005 " " y[1] (analytic) = 1.0110799783418882 " " y[1] (numeric) = 1.0110799782569937 " " absolute error = 8.48945358455921500000000000E-11 " " relative error = 8.396421417108288000000000E-9 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15000000000000005 " " y[1] (analytic) = 1.0112289220639576 " " y[1] (numeric) = 1.011228921969896 " " absolute error = 9.40616473599220600000000000E-11 " " relative error = 9.301716486504221000000000E-9 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15100000000000005 " " y[1] (analytic) = 1.0113788545570226 " " y[1] (numeric) = 1.0113788544530125 " " absolute error = 1.04010133838983170000000000E-10 " " relative error = 1.028399331964864200000000E-8 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15200000000000005 " " y[1] (analytic) = 1.0115297756711508 " " y[1] (numeric) = 1.0115297755563608 " " absolute error = 1.14789955318883590000000000E-10 " " relative error = 1.134815386355981200000000E-8 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15300000000000005 " " y[1] (analytic) = 1.0116816852554207 " " y[1] (numeric) = 1.0116816851289685 " " absolute error = 1.26452182058756080000000000E-10 " " relative error = 1.24992064106439300000000E-8 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15400000000000005 " " y[1] (analytic) = 1.0118345831579232 " " y[1] (numeric) = 1.0118345830188717 " " absolute error = 1.3905143703141220000000000E-10 " " relative error = 1.374250686287420700000000E-8 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15500000000000005 " " y[1] (analytic) = 1.0119884692257601 " " y[1] (numeric) = 1.0119884690731165 " " absolute error = 1.52643675477293070000000000E-10 " " relative error = 1.508353900455761700000000E-8 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15600000000000006 " " y[1] (analytic) = 1.0121433433050455 " " y[1] (numeric) = 1.0121433431377582 " " absolute error = 1.67287295127493960000000000E-10 " " relative error = 1.652802404264550600000000E-8 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15700000000000006 " " y[1] (analytic) = 1.0122992052409052 " " y[1] (numeric) = 1.012299205057862 " " absolute error = 1.83043136203764330000000000E-10 " " relative error = 1.808192037058885500000000E-8 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15800000000000006 " " y[1] (analytic) = 1.0124560548774775 " " y[1] (numeric) = 1.012456054677503 " " absolute error = 1.99974481418507820000000000E-10 " " relative error = 1.975142332895700700000000E-8 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15900000000000006 " " y[1] (analytic) = 1.0126138920579124 " " y[1] (numeric) = 1.0126138918397656 " " absolute error = 2.1814683393017730000000000E-10 " " relative error = 2.154294303496492600000000E-8 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16000000000000006 " " y[1] (analytic) = 1.0127727166243732 " " y[1] (numeric) = 1.0127727163867446 " " absolute error = 2.3762858347708970000000000E-10 " " relative error = 2.346316992712034800000000E-8 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16100000000000006 " " y[1] (analytic) = 1.0129325284180348 " " y[1] (numeric) = 1.012932528159545 " " absolute error = 2.5848989615440130000000000E-10 " " relative error = 2.551896487696988500000000E-8 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16200000000000006 " " y[1] (analytic) = 1.013093327279086 " " y[1] (numeric) = 1.0130933269982814 " " absolute error = 2.8080471281555220000000000E-10 " " relative error = 2.771755624624664000000000E-8 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16300000000000006 " " y[1] (analytic) = 1.0132551130467276 " " y[1] (numeric) = 1.0132551127420792 " " absolute error = 3.0464830658161190000000000E-10 " " relative error = 3.00662984730048600000000E-8 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16400000000000006 " " y[1] (analytic) = 1.0134178855591738 " " y[1] (numeric) = 1.013417885229074 " " absolute error = 3.30099725331933770000000000E-10 " " relative error = 3.25729129153660600000000E-8 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16500000000000006 " " y[1] (analytic) = 1.0135816446536523 " " y[1] (numeric) = 1.013581644296412 " " absolute error = 3.57240237391920350000000000E-10 " " relative error = 3.52453341352675900000000E-8 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16600000000000006 " " y[1] (analytic) = 1.0137463901664039 " " y[1] (numeric) = 1.0137463897802501 " " absolute error = 3.8615377562223330000000000E-10 " " relative error = 3.80917534570798470000000E-8 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16700000000000007 " " y[1] (analytic) = 1.0139121219326834 " " y[1] (numeric) = 1.0139121215157554 " " absolute error = 4.169280476418180000000000E-10 " " relative error = 4.112072817978391600000000E-8 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16800000000000007 " " y[1] (analytic) = 1.0140788397867584 " " y[1] (numeric) = 1.0140788393371063 " " absolute error = 4.4965209333724940000000000E-10 " " relative error = 4.434094033870214500000000E-8 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16900000000000007 " " y[1] (analytic) = 1.014246543561912 " " y[1] (numeric) = 1.014246543077492 " " absolute error = 4.8441983757641080000000000E-10 " " relative error = 4.77615468005625700000000E-8 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17000000000000007 " " y[1] (analytic) = 1.0144152330904395 " " y[1] (numeric) = 1.014415232569113 " " absolute error = 5.2132653749481510000000000E-10 " " relative error = 5.13918285618189800000000E-8 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17100000000000007 " " y[1] (analytic) = 1.0145849082036515 " " y[1] (numeric) = 1.0145849076431803 " " absolute error = 5.6047122498625870000000000E-10 " " relative error = 5.52414312941621900000000E-8 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17200000000000007 " " y[1] (analytic) = 1.0147555687318737 " " y[1] (numeric) = 1.014755568129917 " " absolute error = 6.019567067028220000000000E-10 " " relative error = 5.932036494809082000000000E-8 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17300000000000007 " " y[1] (analytic) = 1.0149272145044448 " " y[1] (numeric) = 1.0149272138585568 " " absolute error = 6.4588800974263450000000000E-10 " " relative error = 6.36388502064160400000000E-8 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17400000000000007 " " y[1] (analytic) = 1.0150998453497193 " " y[1] (numeric) = 1.0150998446573454 " " absolute error = 6.9237393596210950000000000E-10 " " relative error = 6.82074713274707300000000E-8 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17500000000000007 " " y[1] (analytic) = 1.0152734610950667 " " y[1] (numeric) = 1.01527346035354 " " absolute error = 7.4152661788673410000000000E-10 " " relative error = 7.30371319946577600000000E-8 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17600000000000007 " " y[1] (analytic) = 1.0154480615668704 " " y[1] (numeric) = 1.0154480607734095 " " absolute error = 7.9346085257725460000000000E-10 " " relative error = 7.81389893396337700000000E-8 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17700000000000007 " " y[1] (analytic) = 1.015623646590531 " " y[1] (numeric) = 1.0156236457422347 " " absolute error = 8.4829632207572560000000000E-10 " " relative error = 8.35246722467986500000000E-8 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17800000000000007 " " y[1] (analytic) = 1.0158002159904627 " " y[1] (numeric) = 1.0158002150843082 " " absolute error = 9.061544847810410000000000E-10 " " relative error = 8.92059748084901700000000E-8 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17900000000000008 " " y[1] (analytic) = 1.0159777695900964 " " y[1] (numeric) = 1.0159777686229348 " " absolute error = 9.6716168407340320000000000E-10 " " relative error = 9.51951620421391300000000E-8 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18000000000000008 " " y[1] (analytic) = 1.0161563072118787 " " y[1] (numeric) = 1.0161563061804315 " " absolute error = 1.0314471499128786000000000E-9 " " relative error = 1.01504772700073550000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18100000000000008 " " y[1] (analytic) = 1.0163358286772715 " " y[1] (numeric) = 1.0163358275781278 " " absolute error = 1.0991436649732123000000000E-9 " " relative error = 1.08147684452265410000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18200000000000008 " " y[1] (analytic) = 1.016516333806754 " " y[1] (numeric) = 1.0165163326363653 " " absolute error = 1.1703886748648529000000000E-9 " " relative error = 1.15137222683069140000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18300000000000008 " " y[1] (analytic) = 1.0166978224198204 " " y[1] (numeric) = 1.0166978211744981 " " absolute error = 1.2453222897335081000000000E-9 " " relative error = 1.22486963409594350000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18400000000000008 " " y[1] (analytic) = 1.0168802943349826 " " y[1] (numeric) = 1.0168802930108933 " " absolute error = 1.324089282661589000000000E-9 " " relative error = 1.30210929451387850000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18500000000000008 " " y[1] (analytic) = 1.0170637493697685 " " y[1] (numeric) = 1.0170637479629308 " " absolute error = 1.4068377574005808000000000E-9 " " relative error = 1.3832345890533790000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18600000000000008 " " y[1] (analytic) = 1.0172481873407233 " " y[1] (numeric) = 1.017248185847003 " " absolute error = 1.4937202585940668000000000E-9 " " relative error = 1.46839313864881920000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18700000000000008 " " y[1] (analytic) = 1.0174336080634085 " " y[1] (numeric) = 1.0174336064785157 " " absolute error = 1.5848928835993092000000000E-9 " " relative error = 1.55773592599914940000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18800000000000008 " " y[1] (analytic) = 1.017620011352404 " " y[1] (numeric) = 1.0176200096718877 " " absolute error = 1.680516392710274000000000E-9 " " relative error = 1.65141838207062070000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18900000000000008 " " y[1] (analytic) = 1.0178073970213064 " " y[1] (numeric) = 1.0178073952405513 " " absolute error = 1.7807550989346055000000000E-9 " " relative error = 1.74959928975376430000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19000000000000009 " " y[1] (analytic) = 1.0179957648827296 " " y[1] (numeric) = 1.0179957629969518 " " absolute error = 1.8857777561720468000000000E-9 " " relative error = 1.85244165174821060000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1910000000000001 " " y[1] (analytic) = 1.0181851147483063 " " y[1] (numeric) = 1.0181851127525485 " " absolute error = 1.9957577812590444000000000E-9 " " relative error = 1.9601129031948109000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1920000000000001 " " y[1] (analytic) = 1.0183754464286865 " " y[1] (numeric) = 1.0183754443178141 " " absolute error = 2.1108723657903283000000000E-9 " " relative error = 2.07278403381865680000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1930000000000001 " " y[1] (analytic) = 1.0185667597335382 " " y[1] (numeric) = 1.018566757502235 " " absolute error = 2.2313031422527274000000000E-9 " " relative error = 2.1906302369777378000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1940000000000001 " " y[1] (analytic) = 1.0187590544715488 " " y[1] (numeric) = 1.0187590521143117 " " absolute error = 2.3572370722035885000000000E-9 " " relative error = 2.3138317758818208000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1950000000000001 " " y[1] (analytic) = 1.0189523304504227 " " y[1] (numeric) = 1.0189523279615587 " " absolute error = 2.4888640037801224000000000E-9 " " relative error = 2.44257158004627440000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1960000000000001 " " y[1] (analytic) = 1.0191465874768846 " " y[1] (numeric) = 1.0191465848505046 " " absolute error = 2.626380002368478000000000E-9 " " relative error = 2.5770385091222680000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1970000000000001 " " y[1] (analytic) = 1.0193418253566775 " " y[1] (numeric) = 1.0193418225866924 " " absolute error = 2.7699851301576930000000000E-9 " " relative error = 2.71742516715474560000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1980000000000001 " " y[1] (analytic) = 1.019538043894563 " " y[1] (numeric) = 1.0195380409746793 " " absolute error = 2.9198836681842977000000000E-9 " " relative error = 2.86392811496327300000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1990000000000001 " " y[1] (analytic) = 1.019735242894323 " " y[1] (numeric) = 1.0197352398180373 " " absolute error = 3.076285670644552000000000E-9 " " relative error = 3.01674938870711600000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2000000000000001 " " y[1] (analytic) = 1.0199334221587584 " " y[1] (numeric) = 1.0199334189193532 " " absolute error = 3.239405188537603000000000E-9 " " relative error = 3.1760947510487320000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2010000000000001 " " y[1] (analytic) = 1.02013258148969 " " y[1] (numeric) = 1.0201325780802282 " " absolute error = 3.409461823977722000000000E-9 " " relative error = 3.34217520922517440000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2020000000000001 " " y[1] (analytic) = 1.0203327206879584 " " y[1] (numeric) = 1.0203327171012788 " " absolute error = 3.586679619971278000000000E-9 " " relative error = 3.51520591984246340000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2030000000000001 " " y[1] (analytic) = 1.0205338395534245 " " y[1] (numeric) = 1.0205338357821363 " " absolute error = 3.771288170639764000000000E-9 " " relative error = 3.6954072706594840000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2040000000000001 " " y[1] (analytic) = 1.0207359378849694 " " y[1] (numeric) = 1.0207359339214475 " " absolute error = 3.96352195508598000000000E-9 " " relative error = 3.8830042207572830000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2050000000000001 " " y[1] (analytic) = 1.020939015480495 " " y[1] (numeric) = 1.0209390113168744 " " absolute error = 4.163620559438641000000000E-9 " " relative error = 4.0782265113838106000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2060000000000001 " " y[1] (analytic) = 1.0211430721369235 " " y[1] (numeric) = 1.0211430677650946 " " absolute error = 4.371828898896979000000000E-9 " " relative error = 4.28130887648108860000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2070000000000001 " " y[1] (analytic) = 1.021348107650198 " " y[1] (numeric) = 1.021348103061801 " " absolute error = 4.588396995686139000000000E-9 " " relative error = 4.49249081808415300000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2080000000000001 " " y[1] (analytic) = 1.0215541218152835 " " y[1] (numeric) = 1.0215541170017028 " " absolute error = 4.813580645190995700000000E-9 " " relative error = 4.7120172513594760000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2090000000000001 " " y[1] (analytic) = 1.0217611144261656 " " y[1] (numeric) = 1.0217611093785246 " " absolute error = 5.04764097186694000000000E-9 " " relative error = 4.9401380622140440000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2100000000000001 " " y[1] (analytic) = 1.0219690852758516 " " y[1] (numeric) = 1.0219690799850072 " " absolute error = 5.290844429239883000000000E-9 " " relative error = 5.1771080999106440000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2110000000000001 " " y[1] (analytic) = 1.0221780341563713 " " y[1] (numeric) = 1.0221780286129076 " " absolute error = 5.543463688084671000000000E-9 " " relative error = 5.4231880385297340000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2120000000000001 " " y[1] (analytic) = 1.022387960858775 " " y[1] (numeric) = 1.0223879550529993 " " absolute error = 5.805775638023647000000000E-9 " " relative error = 5.6786424139296110000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2130000000000001 " " y[1] (analytic) = 1.0225988651731364 " " y[1] (numeric) = 1.0225988590950719 " " absolute error = 6.078064496151114000000000E-9 " " relative error = 5.9437426572168510000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2140000000000001 " " y[1] (analytic) = 1.0228107468885512 " " y[1] (numeric) = 1.0228107405279316 " " absolute error = 6.3606195865872900000000000E-9 " " relative error = 6.2187649141707390000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2150000000000001 " " y[1] (analytic) = 1.0230236057931377 " " y[1] (numeric) = 1.0230235991394017 " " absolute error = 6.653736006612121000000000E-9 " " relative error = 6.5039906889084540000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2160000000000001 " " y[1] (analytic) = 1.0232374416740369 " " y[1] (numeric) = 1.023237434716322 " " absolute error = 6.957714848709884000000000E-9 " " relative error = 6.7997070526728610000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2170000000000001 " " y[1] (analytic) = 1.0234522543174132 " " y[1] (numeric) = 1.0234522470445495 " " absolute error = 7.2728636446584000000000000E-9 " " relative error = 7.1062070692384220000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2180000000000001 " " y[1] (analytic) = 1.0236680435084535 " " y[1] (numeric) = 1.0236680359089583 " " absolute error = 7.59949525530601000000000E-9 " " relative error = 7.4237887013254730000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2190000000000001 " " y[1] (analytic) = 1.0238848090313692 " " y[1] (numeric) = 1.0238848010934396 " " absolute error = 7.93792964692841000000000E-9 " " relative error = 7.7527565375620410000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2200000000000001 " " y[1] (analytic) = 1.0241025506693946 " " y[1] (numeric) = 1.0241025423809025 " " absolute error = 8.288492114871815000000000E-9 " " relative error = 8.0934200480744080000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2210000000000001 " " y[1] (analytic) = 1.0243212682047877 " " y[1] (numeric) = 1.0243212595532734 " " absolute error = 8.651514393775983000000000E-9 " " relative error = 8.4460946602607560000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22200000000000011 " " y[1] (analytic) = 1.0245409614188317 " " y[1] (numeric) = 1.0245409523914963 " " absolute error = 9.02733532370803000000000E-9 " " relative error = 8.8111023996605840000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22300000000000011 " " y[1] (analytic) = 1.0247616300918327 " " y[1] (numeric) = 1.0247616206755334 " " absolute error = 9.416299295850195000000000E-9 " " relative error = 9.1887703631198260000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22400000000000012 " " y[1] (analytic) = 1.0249832740031222 " " y[1] (numeric) = 1.0249832641843648 " " absolute error = 9.818757362722863000000000E-9 " " relative error = 9.57943179343330000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22500000000000012 " " y[1] (analytic) = 1.0252058929310568 " " y[1] (numeric) = 1.0252058826959884 " " absolute error = 1.023506834840759400000000E-8 " " relative error = 9.9834271525162640000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22600000000000012 " " y[1] (analytic) = 1.025429486653017 " " y[1] (numeric) = 1.0254294759874212 " " absolute error = 1.066559573992265100000000E-8 " " relative error = 1.0401101078861073000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22700000000000012 " " y[1] (analytic) = 1.0256540549454094 " " y[1] (numeric) = 1.025654043834698 " " absolute error = 1.111071146198128200000000E-8 " " relative error = 1.0832806060102448000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22800000000000012 " " y[1] (analytic) = 1.0258795975836656 " " y[1] (numeric) = 1.0258795860128722 " " absolute error = 1.15707934345010700000000E-8 " " relative error = 1.1278900040272428000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22900000000000012 " " y[1] (analytic) = 1.0261061143422432 " " y[1] (numeric) = 1.0261061022960165 " " absolute error = 1.204622668282695500000000E-8 " " relative error = 1.1739747492440247000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23000000000000012 " " y[1] (analytic) = 1.0263336049946252 " " y[1] (numeric) = 1.0263335924572223 " " absolute error = 1.253740289364202500000000E-8 " " relative error = 1.2215718975418018000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23100000000000012 " " y[1] (analytic) = 1.026562069313321 " " y[1] (numeric) = 1.0265620562685998 " " absolute error = 1.304472130314593400000000E-8 " " relative error = 1.270719198876274000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23200000000000012 " " y[1] (analytic) = 1.0267915070698665 " " y[1] (numeric) = 1.0267914935012787 " " absolute error = 1.356858780887648700000000E-8 " " relative error = 1.3214550096539932000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23300000000000012 " " y[1] (analytic) = 1.0270219180348237 " " y[1] (numeric) = 1.027021903925408 " " absolute error = 1.410941563584344700000000E-8 " " relative error = 1.37381835655868000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23400000000000012 " " y[1] (analytic) = 1.0272533019777819 " " y[1] (numeric) = 1.0272532873101563 " " absolute error = 1.46676255585731500000000E-8 " " relative error = 1.4278489570521127000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23500000000000013 " " y[1] (analytic) = 1.027485658667357 " " y[1] (numeric) = 1.0274856434237116 " " absolute error = 1.524364545701928400000000E-8 " " relative error = 1.483587175006433000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23600000000000013 " " y[1] (analytic) = 1.0277189878711925 " " y[1] (numeric) = 1.027718972033282 " " absolute error = 1.583791053860750300000000E-8 " " relative error = 1.5410740412040067000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23700000000000013 " " y[1] (analytic) = 1.0279532893559589 " " y[1] (numeric) = 1.0279532729050955 " " absolute error = 1.645086333823542200000000E-8 " " relative error = 1.6003512521996346000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23800000000000013 " " y[1] (analytic) = 1.028188562887355 " " y[1] (numeric) = 1.0281885458044004 " " absolute error = 1.70829546064510400000000E-8 " " relative error = 1.6614612555579060000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23900000000000013 " " y[1] (analytic) = 1.0284248082301075 " " y[1] (numeric) = 1.028424790495465 " " absolute error = 1.773464242127431600000000E-8 " " relative error = 1.7244471622378670000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24000000000000013 " " y[1] (analytic) = 1.0286620251479706 " " y[1] (numeric) = 1.0286620067415786 " " absolute error = 1.84063919661525700000000E-8 " " relative error = 1.789352723845799000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24100000000000013 " " y[1] (analytic) = 1.0289002134037273 " " y[1] (numeric) = 1.0289001943050502 " " absolute error = 1.909867708427270800000000E-8 " " relative error = 1.8562224825565890000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24200000000000013 " " y[1] (analytic) = 1.02913937275919 " " y[1] (numeric) = 1.0291393529472106 " " absolute error = 1.981197939038281700000000E-8 " " relative error = 1.9251016834839000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24300000000000013 " " y[1] (analytic) = 1.029379502975199 " " y[1] (numeric) = 1.0293794824284108 " " absolute error = 2.05467882707921500000000E-8 " " relative error = 1.9960362734449344000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24400000000000013 " " y[1] (analytic) = 1.0296206038116242 " " y[1] (numeric) = 1.0296205825080231 " " absolute error = 2.130360110541573700000000E-8 " " relative error = 2.069072921282893200000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24500000000000013 " " y[1] (analytic) = 1.0298626750273647 " " y[1] (numeric) = 1.0298626529444412 " " absolute error = 2.208292348981899500000000E-8 " " relative error = 2.1442590381511034000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24600000000000014 " " y[1] (analytic) = 1.030105716380349 " " y[1] (numeric) = 1.0301056934950803 " " absolute error = 2.28852687911285100000000E-8 " " relative error = 2.221642733091922000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24700000000000014 " " y[1] (analytic) = 1.0303497276275366 " " y[1] (numeric) = 1.0303497039163767 " " absolute error = 2.37111599243888800000000E-8 " " relative error = 2.30127298417263980000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24800000000000014 " " y[1] (analytic) = 1.0305947085249154 " " y[1] (numeric) = 1.030594683963789 " " absolute error = 2.456112646598285200000000E-8 " " relative error = 2.3831993569166546000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24900000000000014 " " y[1] (analytic) = 1.0308406588275052 " " y[1] (numeric) = 1.0308406333917972 " " absolute error = 2.543570798430039300000000E-8 " " relative error = 2.467472326249856900000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2500000000000001 " " y[1] (analytic) = 1.0310875782893554 " " y[1] (numeric) = 1.0310875519539038 " " absolute error = 2.63354515972480400000000E-8 " " relative error = 2.5541430380666935000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2510000000000001 " " y[1] (analytic) = 1.0313354666635464 " " y[1] (numeric) = 1.0313354394026333 " " absolute error = 2.726091308247191600000000E-8 " " relative error = 2.6432634156045437000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2520000000000001 " " y[1] (analytic) = 1.03158432370219 " " y[1] (numeric) = 1.0315842954895325 " " absolute error = 2.82126575434915600000000E-8 " " relative error = 2.734886222605717000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2530000000000001 " " y[1] (analytic) = 1.0318341491564291 " " y[1] (numeric) = 1.031834119965171 " " absolute error = 2.91912580774322800000000E-8 " " relative error = 2.829064932702358000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2540000000000001 " " y[1] (analytic) = 1.0320849427764385 " " y[1] (numeric) = 1.0320849125791411 " " absolute error = 3.0197297329337400000000E-8 " " relative error = 2.9258538786645670000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2550000000000001 " " y[1] (analytic) = 1.0323367043114244 " " y[1] (numeric) = 1.0323366730800578 " " absolute error = 3.12313666039898400000000E-8 " " relative error = 3.0253081648221910000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2560000000000001 " " y[1] (analytic) = 1.0325894335096255 " " y[1] (numeric) = 1.0325894012155594 " " absolute error = 3.22940660879567100000000E-8 " " relative error = 3.127483687121777000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2570000000000001 " " y[1] (analytic) = 1.0328431301183123 " " y[1] (numeric) = 1.0328430967323072 " " absolute error = 3.33860050716339200000000E-8 " " relative error = 3.232437153143435000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2580000000000001 " " y[1] (analytic) = 1.0330977938837886 " " y[1] (numeric) = 1.033097759375986 " " absolute error = 3.45078026153800000000E-8 " " relative error = 3.3402261450634485000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2590000000000001 " " y[1] (analytic) = 1.0333534245513902 " " y[1] (numeric) = 1.0333533888913042 " " absolute error = 3.56600859952038700000000E-8 " " relative error = 3.450908967634668000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2600000000000001 " " y[1] (analytic) = 1.0336100218654867 " " y[1] (numeric) = 1.033609985021994 " " absolute error = 3.68434927011662700000000E-8 " " relative error = 3.5645448401003466000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2610000000000001 " " y[1] (analytic) = 1.033867585569481 " " y[1] (numeric) = 1.0338675475108112 " " absolute error = 3.805866977124594500000000E-8 " " relative error = 3.681193830086301000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2620000000000001 " " y[1] (analytic) = 1.034126115405809 " " y[1] (numeric) = 1.034126076099536 " " absolute error = 3.930627290316124300000000E-8 " " relative error = 3.8009167661080470000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2630000000000001 " " y[1] (analytic) = 1.0343856111159413 " " y[1] (numeric) = 1.0343855705289728 " " absolute error = 4.058696845277154400000000E-8 " " relative error = 3.923775429260323000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2640000000000001 " " y[1] (analytic) = 1.034646072440382 " " y[1] (numeric) = 1.0346460305389504 " " absolute error = 4.19014316577204200000000E-8 " " relative error = 4.049832379771088300000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2650000000000001 " " y[1] (analytic) = 1.0349074991186697 " " y[1] (numeric) = 1.0349074558683222 " " absolute error = 4.325034752561407500000000E-8 " " relative error = 4.179151041271437000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2660000000000001 " " y[1] (analytic) = 1.035169890889378 " " y[1] (numeric) = 1.0351698462549663 " " absolute error = 4.46344117221997300000000E-8 " " relative error = 4.311795784926817000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2670000000000001 " " y[1] (analytic) = 1.035433247490115 " " y[1] (numeric) = 1.0354332014357857 " " absolute error = 4.605432923909802400000000E-8 " " relative error = 4.447831798982068000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2680000000000001 " " y[1] (analytic) = 1.035697568657524 " " y[1] (numeric) = 1.0356975211467085 " " absolute error = 4.75108155040260270000000E-8 " " relative error = 4.5873251943238375000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.26900000000000013 " " y[1] (analytic) = 1.035962854127284 " " y[1] (numeric) = 1.0359628051226886 " " absolute error = 4.90045954926188200000000E-8 " " relative error = 4.730342916966967500000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27000000000000013 " " y[1] (analytic) = 1.0362291036341094 " " y[1] (numeric) = 1.0362290530977047 " " absolute error = 5.05364046166079100000000E-8 " " relative error = 4.876952832088397000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27100000000000013 " " y[1] (analytic) = 1.0364963169117511 " " y[1] (numeric) = 1.0364962648047615 " " absolute error = 5.210698961199967000000000E-8 " " relative error = 5.027223807919824000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27200000000000013 " " y[1] (analytic) = 1.0367644936929956 " " y[1] (numeric) = 1.0367644399758897 " " absolute error = 5.37171058745400400000000E-8 " " relative error = 5.181225456824587000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27300000000000013 " " y[1] (analytic) = 1.0370336337096662 " " y[1] (numeric) = 1.0370335783421456 " " absolute error = 5.536752056833905000000000E-8 " " relative error = 5.339028433463524000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27400000000000013 " " y[1] (analytic) = 1.0373037366926225 " " y[1] (numeric) = 1.0373036796336117 " " absolute error = 5.705901084951392000000000E-8 " " relative error = 5.500704261554381000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27500000000000013 " " y[1] (analytic) = 1.0375748023717621 " " y[1] (numeric) = 1.0375747435793972 " " absolute error = 5.87923649764121600000000E-8 " " relative error = 5.666325439093200000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27600000000000013 " " y[1] (analytic) = 1.037846830476019 " " y[1] (numeric) = 1.0378467699076377 " " absolute error = 6.05683814214330600000000E-8 " " relative error = 5.835965350845919000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27700000000000014 " " y[1] (analytic) = 1.0381198207333653 " " y[1] (numeric) = 1.0381197583454955 " " absolute error = 6.23878697592061800000000E-8 " " relative error = 6.009698352077811000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27800000000000014 " " y[1] (analytic) = 1.038393772870811 " " y[1] (numeric) = 1.03839370861916 " " absolute error = 6.42516511106805400000000E-8 " " relative error = 6.187599809371568000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27900000000000014 " " y[1] (analytic) = 1.0386686866144035 " " y[1] (numeric) = 1.0386686204538471 " " absolute error = 6.61605563667677600000000E-8 " " relative error = 6.369745927589447000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28000000000000014 " " y[1] (analytic) = 1.0389445616892292 " " y[1] (numeric) = 1.0389444935738006 " " absolute error = 6.81154286308327500000000E-8 " " relative error = 6.556213983168002000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28100000000000014 " " y[1] (analytic) = 1.039221397819413 " " y[1] (numeric) = 1.0392213277022917 " " absolute error = 7.01171212202922300000000E-8 " " relative error = 6.7470821297000070000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28200000000000014 " " y[1] (analytic) = 1.0394991947281191 " " y[1] (numeric) = 1.039499122561619 " " absolute error = 7.21665001091054100000000E-8 " " relative error = 6.94242963102829100000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28300000000000014 " " y[1] (analytic) = 1.0397779521375505 " " y[1] (numeric) = 1.039777877873109 " " absolute error = 7.42644414852833300000000E-8 " " relative error = 7.142336624142902000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28400000000000014 " " y[1] (analytic) = 1.0400576697689496 " " y[1] (numeric) = 1.0400575933571163 " " absolute error = 7.64118333052010700000000E-8 " " relative error = 7.34688426673264000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28500000000000014 " " y[1] (analytic) = 1.040338347342599 " " y[1] (numeric) = 1.0403382687330236 " " absolute error = 7.8609575293597800000000E-8 " " relative error = 7.556154735081634000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28600000000000014 " " y[1] (analytic) = 1.040619984577821 " " y[1] (numeric) = 1.0406199037192418 " " absolute error = 8.08585791656213400000000E-8 " " relative error = 7.77023124329345000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28700000000000014 " " y[1] (analytic) = 1.0409025811929786 " " y[1] (numeric) = 1.040902498033211 " " absolute error = 8.31597675166051400000000E-8 " " relative error = 7.989197934478721000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28800000000000014 " " y[1] (analytic) = 1.041186136905475 " " y[1] (numeric) = 1.0411860513913995 " " absolute error = 8.55140753763805600000000E-8 " " relative error = 8.21314002802018000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28900000000000015 " " y[1] (analytic) = 1.0414706514317547 " " y[1] (numeric) = 1.041470563509305 " " absolute error = 8.7922449765187590000000E-8 " " relative error = 8.442143774701361000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29000000000000015 " " y[1] (analytic) = 1.041756124487303 " " y[1] (numeric) = 1.0417560341014536 " " absolute error = 9.03858494716303100000000E-8 " " relative error = 8.676296433209205000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29100000000000015 " " y[1] (analytic) = 1.0420425557866468 " " y[1] (numeric) = 1.0420424628814013 " " absolute error = 9.29052454967660400000000E-8 " " relative error = 8.915686310587486000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29200000000000015 " " y[1] (analytic) = 1.0423299450433552 " " y[1] (numeric) = 1.042329849561734 " " absolute error = 9.54816212761500100000000E-8 " " relative error = 9.160402781307266000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29300000000000015 " " y[1] (analytic) = 1.0426182919700386 " " y[1] (numeric) = 1.0426181938540662 " " absolute error = 9.81159724577906900000000E-8 " " relative error = 9.410536263698146000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29400000000000015 " " y[1] (analytic) = 1.0429075962783503 " " y[1] (numeric) = 1.0429074954690434 " " absolute error = 1.00809306902149840000000E-7 " " relative error = 9.666178217695521000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29500000000000015 " " y[1] (analytic) = 1.0431978576789862 " " y[1] (numeric) = 1.0431977541163406 " " absolute error = 1.03562645570320910000000E-7 " " relative error = 9.927421227717791000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29600000000000015 " " y[1] (analytic) = 1.0434890758816846 " " y[1] (numeric) = 1.0434889695046634 " " absolute error = 1.0637702119176140000000E-7 " " relative error = 1.019435887260049200000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29700000000000015 " " y[1] (analytic) = 1.0437812505952273 " " y[1] (numeric) = 1.0437811413417477 " " absolute error = 1.09253479596560510000000E-7 " " relative error = 1.046708585101117200000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29800000000000015 " " y[1] (analytic) = 1.0440743815274396 " " y[1] (numeric) = 1.04407426933436 " " absolute error = 1.12193079493394520000000E-7 " " relative error = 1.074569795777006500000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29900000000000015 " " y[1] (analytic) = 1.0443684683851908 " " y[1] (numeric) = 1.044368353188298 " " absolute error = 1.15196892913616010000000E-7 " " relative error = 1.103029212397940300000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30000000000000016 " " y[1] (analytic) = 1.044663510874394 " " y[1] (numeric) = 1.04466339260839 " " absolute error = 1.18266004101030830000000E-7 " " relative error = 1.132096630828437600000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30100000000000016 " " y[1] (analytic) = 1.0449595087000068 " " y[1] (numeric) = 1.044959387298496 " " absolute error = 1.21401510844165730000000E-7 " " relative error = 1.161781962204416900000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30200000000000016 " " y[1] (analytic) = 1.0452564615660314 " " y[1] (numeric) = 1.0452563369615073 " " absolute error = 1.24604524032179140000000E-7 " " relative error = 1.19209522843315700000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30300000000000016 " " y[1] (analytic) = 1.0455543691755145 " " y[1] (numeric) = 1.045554241299347 " " absolute error = 1.2787616743281660000000E-7 " " relative error = 1.223046559823139600000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30400000000000016 " " y[1] (analytic) = 1.045853231230549 " " y[1] (numeric) = 1.0458531000129698 " " absolute error = 1.31217579246722950000000E-7 " " relative error = 1.254646209701265300000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30500000000000016 " " y[1] (analytic) = 1.046153047432273 " " y[1] (numeric) = 1.0461529128023628 " " absolute error = 1.3462991033108550000000E-7 " " relative error = 1.286904537166215200000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30600000000000016 " " y[1] (analytic) = 1.04645381748087 " " y[1] (numeric) = 1.0464536793665449 " " absolute error = 1.38114325087812520000000E-7 " " relative error = 1.319832015332462200000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30700000000000016 " " y[1] (analytic) = 1.0467555410755698 " " y[1] (numeric) = 1.0467553994035679 " " absolute error = 1.4167200190762230000000E-7 " " relative error = 1.353439235316113000000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30800000000000016 " " y[1] (analytic) = 1.0470582179146493 " " y[1] (numeric) = 1.047058072610516 " " absolute error = 1.45304133170043310000000E-7 " " relative error = 1.387736905971046500000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30900000000000016 " " y[1] (analytic) = 1.0473618476954316 " " y[1] (numeric) = 1.0473616986835068 " " absolute error = 1.4901192479932490000000E-7 " " relative error = 1.422735849383898200000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31000000000000016 " " y[1] (analytic) = 1.0476664301142866 " " y[1] (numeric) = 1.0476662773176901 " " absolute error = 1.52796596486481920000000E-7 " " relative error = 1.45844700273362600000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31100000000000017 " " y[1] (analytic) = 1.0479719648666324 " " y[1] (numeric) = 1.0479718082072496 " " absolute error = 1.56659382799517740000000E-7 " " relative error = 1.494881428621562500000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31200000000000017 " " y[1] (analytic) = 1.0482784516469337 " " y[1] (numeric) = 1.0482782910454023 " " absolute error = 1.60601531407067450000000E-7 " " relative error = 1.532050297845471700000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31300000000000017 " " y[1] (analytic) = 1.0485858901487042 " " y[1] (numeric) = 1.0485857255243989 " " absolute error = 1.64624305298843860000000E-7 " " relative error = 1.569964910318389000000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31400000000000017 " " y[1] (analytic) = 1.0488942800645051 " " y[1] (numeric) = 1.048894111335524 " " absolute error = 1.6872898123132530000000E-7 " " relative error = 1.608636679961194500000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31500000000000017 " " y[1] (analytic) = 1.0492036210859468 " " y[1] (numeric) = 1.049203448169096 " " absolute error = 1.72916850837978600000000E-7 " " relative error = 1.648077145016009200000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31600000000000017 " " y[1] (analytic) = 1.0495139129036881 " " y[1] (numeric) = 1.0495137357144682 " " absolute error = 1.7718921996312530000000E-7 " " relative error = 1.68829796141431100000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31700000000000017 " " y[1] (analytic) = 1.0498251552074374 " " y[1] (numeric) = 1.0498249736600278 " " absolute error = 1.81547409550120160000000E-7 " " relative error = 1.729310910960671400000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31800000000000017 " " y[1] (analytic) = 1.0501373476859523 " " y[1] (numeric) = 1.0501371616931974 " " absolute error = 1.85992754975217170000000E-7 " " relative error = 1.77112789469934200000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3190000000000002 " " y[1] (analytic) = 1.0504504900270404 " " y[1] (numeric) = 1.0504502995004337 " " absolute error = 1.90526606713703470000000E-7 " " relative error = 1.813760938973896800000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3200000000000002 " " y[1] (analytic) = 1.050764581917559 " " y[1] (numeric) = 1.0507643867672292 " " absolute error = 1.95150329895810160000000E-7 " " relative error = 1.85722219090861280000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3210000000000002 " " y[1] (analytic) = 1.051079623043417 " " y[1] (numeric) = 1.0510794231781113 " " absolute error = 1.99865305638979860000000E-7 " " relative error = 1.901523930796668300000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3220000000000002 " " y[1] (analytic) = 1.0513956130895727 " " y[1] (numeric) = 1.0513954084166433 " " absolute error = 2.04672929493554530000000E-7 " " relative error = 1.946678557009706700000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3230000000000002 " " y[1] (analytic) = 1.0517125517400363 " " y[1] (numeric) = 1.051712342165424 " " absolute error = 2.09574612330953870000000E-7 " " relative error = 1.992698594156902300000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3240000000000002 " " y[1] (analytic) = 1.0520304386778692 " " y[1] (numeric) = 1.0520302241060882 " " absolute error = 2.14571781009809110000000E-7 " " relative error = 2.039596699117094700000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3250000000000002 " " y[1] (analytic) = 1.0523492735851843 " " y[1] (numeric) = 1.052349053919307 " " absolute error = 2.19665877265740050000000E-7 " " relative error = 2.087385650178422400000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3260000000000002 " " y[1] (analytic) = 1.0526690561431469 " " y[1] (numeric) = 1.052668831284788 " " absolute error = 2.248583588215780000000E-7 " " relative error = 2.136078357289536700000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3270000000000002 " " y[1] (analytic) = 1.0529897860319744 " " y[1] (numeric) = 1.0529895558812752 " " absolute error = 2.30150699165321270000000E-7 " " relative error = 2.185687859638295600000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3280000000000002 " " y[1] (analytic) = 1.053311462930937 " " y[1] (numeric) = 1.0533112273865495 " " absolute error = 2.35544387550135070000000E-7 " " relative error = 2.236227325341271200000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3290000000000002 " " y[1] (analytic) = 1.0536340865183578 " " y[1] (numeric) = 1.0536338454774288 " " absolute error = 2.4104092899435160000000E-7 " " relative error = 2.28771005113217600000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3300000000000002 " " y[1] (analytic) = 1.053957656471613 " " y[1] (numeric) = 1.0539574098297682 " " absolute error = 2.46641844947603770000000E-7 " " relative error = 2.340149468369526800000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3310000000000002 " " y[1] (analytic) = 1.0542821724671332 " " y[1] (numeric) = 1.0542819201184603 " " absolute error = 2.5234867284673610000000E-7 " " relative error = 2.39355913850096890000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3320000000000002 " " y[1] (analytic) = 1.0546076341804018 " " y[1] (numeric) = 1.0546073760174357 " " absolute error = 2.5816296611580470000000E-7 " " relative error = 2.44795275274522800000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3330000000000002 " " y[1] (analytic) = 1.0549340412859576 " " y[1] (numeric) = 1.0549337771996625 " " absolute error = 2.6408629505425550000000E-7 " " relative error = 2.50334414019227300000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3340000000000002 " " y[1] (analytic) = 1.0552613934573936 " " y[1] (numeric) = 1.0552611233371472 " " absolute error = 2.7012024639283540000000E-7 " " relative error = 2.559747263261759600000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3350000000000002 " " y[1] (analytic) = 1.055589690367357 " " y[1] (numeric) = 1.0555894141009343 " " absolute error = 2.76266422627458040000000E-7 " " relative error = 2.61717621106468230000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3360000000000002 " " y[1] (analytic) = 1.0559189316875517 " " y[1] (numeric) = 1.0559186491611074 " " absolute error = 2.82526444239650230000000E-7 " " relative error = 2.675645220112885500000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3370000000000002 " " y[1] (analytic) = 1.0562491170887358 " " y[1] (numeric) = 1.0562488281867886 " " absolute error = 2.88901947254061040000000E-7 " " relative error = 2.735168650841961500000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3380000000000002 " " y[1] (analytic) = 1.056580246240724 " " y[1] (numeric) = 1.0565799508461386 " " absolute error = 2.95394585458907950000000E-7 " " relative error = 2.79576100830875530000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3390000000000002 " " y[1] (analytic) = 1.0569123188123877 " " y[1] (numeric) = 1.056912016806358 " " absolute error = 3.02006029739843030000000E-7 " " relative error = 2.857436935536864000000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3400000000000002 " " y[1] (analytic) = 1.057245334471654 " " y[1] (numeric) = 1.0572450257336863 " " absolute error = 3.0873796763586370000000E-7 " " relative error = 2.92021120897309900000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3410000000000002 " " y[1] (analytic) = 1.057579292885507 " " y[1] (numeric) = 1.057578977293403 " " absolute error = 3.15592104005446570000000E-7 " " relative error = 2.984098744448586700000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3420000000000002 " " y[1] (analytic) = 1.0579141937199887 " " y[1] (numeric) = 1.0579138711498275 " " absolute error = 3.22570161248592060000000E-7 " " relative error = 3.04911459892909500000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3430000000000002 " " y[1] (analytic) = 1.0582500366401981 " " y[1] (numeric) = 1.058249706966319 " " absolute error = 3.29673879084779740000000E-7 " " relative error = 3.11527396806382400000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3440000000000002 " " y[1] (analytic) = 1.0585868213102925 " " y[1] (numeric) = 1.0585864844052775 " " absolute error = 3.3690501499705760000000E-7 " " relative error = 3.18259219002976930000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3450000000000002 " " y[1] (analytic) = 1.0589245473934872 " " y[1] (numeric) = 1.0589242031281432 " " absolute error = 3.4426534400999740000000E-7 " " relative error = 3.2510847430763296000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3460000000000002 " " y[1] (analytic) = 1.0592632145520557 " " y[1] (numeric) = 1.0592628627953973 " " absolute error = 3.51756658467650140000000E-7 " " relative error = 3.32076724307283700000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3470000000000002 " " y[1] (analytic) = 1.0596028224473315 " " y[1] (numeric) = 1.0596024630665617 " " absolute error = 3.59380769809902740000000E-7 " " relative error = 3.391655459918956000000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3480000000000002 " " y[1] (analytic) = 1.0599433707397066 " " y[1] (numeric) = 1.0599430036002 " " absolute error = 3.6713950657407680000000E-7 " " relative error = 3.46376529830890700000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3490000000000002 " " y[1] (analytic) = 1.0602848590886325 " " y[1] (numeric) = 1.060284484053917 " " absolute error = 3.75034715505151440000000E-7 " " relative error = 3.537112807849698300000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3500000000000002 " " y[1] (analytic) = 1.060627287152621 " " y[1] (numeric) = 1.060626904084359 " " absolute error = 3.83068261999852670000000E-7 " " relative error = 3.61171418687750900000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3510000000000002 " " y[1] (analytic) = 1.0609706545892443 " " y[1] (numeric) = 1.0609702633472147 " " absolute error = 3.91242029662564050000000E-7 " " relative error = 3.687585777893487000000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3520000000000002 " " y[1] (analytic) = 1.0613149610551345 " " y[1] (numeric) = 1.0613145614972146 " " absolute error = 3.99557919861237560000000E-7 " " relative error = 3.76474406300657870000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3530000000000002 " " y[1] (analytic) = 1.0616602062059854 " " y[1] (numeric) = 1.0616597981881317 " " absolute error = 4.080178537257950000000E-7 " " relative error = 3.843205682389781400000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3540000000000002 " " y[1] (analytic) = 1.0620063896965521 " " y[1] (numeric) = 1.0620059730727818 " " absolute error = 4.16623770371771230000000E-7 " " relative error = 3.92298741715493300000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3550000000000002 " " y[1] (analytic) = 1.0623535111806508 " " y[1] (numeric) = 1.062353085803023 " " absolute error = 4.2537762778849240000000E-7 " " relative error = 4.004106197340538000000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3560000000000002 " " y[1] (analytic) = 1.0627015703111602 " " y[1] (numeric) = 1.0627011360297571 " " absolute error = 4.34281403061120840000000E-7 " " relative error = 4.08657910361384700000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3570000000000002 " " y[1] (analytic) = 1.0630505667400212 " " y[1] (numeric) = 1.063050123402929 " " absolute error = 4.43337092148610170000000E-7 " " relative error = 4.170423364790250600000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3580000000000002 " " y[1] (analytic) = 1.0634005001182374 " " y[1] (numeric) = 1.063400047571527 " " absolute error = 4.5254671032779470000000E-7 " " relative error = 4.255656361619887000000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3590000000000002 " " y[1] (analytic) = 1.0637513700958754 " " y[1] (numeric) = 1.0637509081835834 " " absolute error = 4.61912291971344760000000E-7 " " relative error = 4.342295624302819000000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3600000000000002 " " y[1] (analytic) = 1.0641031763220652 " " y[1] (numeric) = 1.0641027048861744 " " absolute error = 4.7143589076981130000000E-7 " " relative error = 4.43035883418061400000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3610000000000002 " " y[1] (analytic) = 1.0644559184450006 " " y[1] (numeric) = 1.0644554373254205 " " absolute error = 4.8111958017571510000000E-7 " " relative error = 4.519863827508739400000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3620000000000002 " " y[1] (analytic) = 1.06480959611194 " " y[1] (numeric) = 1.0648091051464865 " " absolute error = 4.9096545340354680000000E-7 " " relative error = 4.61082859504896140000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3630000000000002 " " y[1] (analytic) = 1.065164208969205 " " y[1] (numeric) = 1.065163707993582 " " absolute error = 5.0097562298567770000000E-7 " " relative error = 4.70327127749146300000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3640000000000002 " " y[1] (analytic) = 1.0655197566621832 " " y[1] (numeric) = 1.0655192455099618 " " absolute error = 5.1115222143849340000000E-7 " " relative error = 4.79721017130376100000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3650000000000002 " " y[1] (analytic) = 1.065876238835327 " " y[1] (numeric) = 1.0658757173379256 " " absolute error = 5.2149740126239410000000E-7 " " relative error = 4.89266372831642650000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3660000000000002 " " y[1] (analytic) = 1.066233655132154 " " y[1] (numeric) = 1.066233123118819 " " absolute error = 5.320133351638390000000E-7 " " relative error = 4.98965055739024440000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3670000000000002 " " y[1] (analytic) = 1.0665920051952482 " " y[1] (numeric) = 1.0665914624930324 " " absolute error = 5.4270221583330170000000E-7 " " relative error = 5.088189421914481000000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3680000000000002 " " y[1] (analytic) = 1.0669512886662593 " " y[1] (numeric) = 1.066950735100003 " " absolute error = 5.5356625638935950000000E-7 " " relative error = 5.18829924355163500000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3690000000000002 " " y[1] (analytic) = 1.067311505185904 " " y[1] (numeric) = 1.0673109405782137 " " absolute error = 5.6460769015664880000000E-7 " " relative error = 5.28999909973148500000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3700000000000002 " " y[1] (analytic) = 1.0676726543939656 " " y[1] (numeric) = 1.067672078565194 " " absolute error = 5.7582877155404330000000E-7 " " relative error = 5.393308231546835000000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3710000000000002 " " y[1] (analytic) = 1.0680347359292952 " " y[1] (numeric) = 1.06803414869752 " " absolute error = 5.872317752064760000000E-7 " " relative error = 5.498246034999288000000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3720000000000002 " " y[1] (analytic) = 1.0683977494298116 " " y[1] (numeric) = 1.0683971506108143 " " absolute error = 5.9881899727720620000000E-7 " " relative error = 5.604832073043838000000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3730000000000002 " " y[1] (analytic) = 1.0687616945325005 " " y[1] (numeric) = 1.068761083939747 " " absolute error = 6.1059275346941890000000E-7 " " relative error = 5.71308605644315600000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3740000000000002 " " y[1] (analytic) = 1.0691265708734172 " " y[1] (numeric) = 1.0691259483180358 " " absolute error = 6.2255538146871460000000E-7 " " relative error = 5.82302786619662200000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3750000000000002 " " y[1] (analytic) = 1.069492378087686 " " y[1] (numeric) = 1.0694917433784454 " " absolute error = 6.3470924049902070000000E-7 " " relative error = 5.93467754893136700000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3760000000000002 " " y[1] (analytic) = 1.0698591158094986 " " y[1] (numeric) = 1.069858468752789 " " absolute error = 6.4705670954623430000000E-7 " " relative error = 6.048055299848010000000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3770000000000002 " " y[1] (analytic) = 1.0702267836721182 " " y[1] (numeric) = 1.0702261240719273 " " absolute error = 6.5960019091093610000000E-7 " " relative error = 6.16318149549334800000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3780000000000002 " " y[1] (analytic) = 1.0705953813078763 " " y[1] (numeric) = 1.0705947089657697 " " absolute error = 6.7234210665567670000000E-7 " " relative error = 6.28007666009468900000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3790000000000002 " " y[1] (analytic) = 1.070964908348176 " " y[1] (numeric) = 1.070964223063274 " " absolute error = 6.8528490193564550000000E-7 " " relative error = 6.39876149623434600000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3800000000000002 " " y[1] (analytic) = 1.07133536442349 " " y[1] (numeric) = 1.0713346659924472 " " absolute error = 6.9843104277822480000000E-7 " " relative error = 6.51925686364387400000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3810000000000002 " " y[1] (analytic) = 1.0717067491633618 " " y[1] (numeric) = 1.0717060373803449 " " absolute error = 7.1178301697116810000000E-7 " " relative error = 6.64158378704648700000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38200000000000023 " " y[1] (analytic) = 1.0720790621964074 " " y[1] (numeric) = 1.0720783368530724 " " absolute error = 7.2534333495077870000000E-7 " " relative error = 6.76576346398129800000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38300000000000023 " " y[1] (analytic) = 1.0724523031503133 " " y[1] (numeric) = 1.0724515640357846 " " absolute error = 7.3911452869168670000000E-7 " " relative error = 6.8918172539752910000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38400000000000023 " " y[1] (analytic) = 1.0728264716518388 " " y[1] (numeric) = 1.0728257185526857 " " absolute error = 7.5309915303911620000000E-7 " " relative error = 7.01976669050274200000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38500000000000023 " " y[1] (analytic) = 1.0732015673268154 " " y[1] (numeric) = 1.0732008000270308 " " absolute error = 7.6729978459866290000000E-7 " " relative error = 7.1496334701587490000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38600000000000023 " " y[1] (analytic) = 1.0735775898001474 " " y[1] (numeric) = 1.0735768080811248 " " absolute error = 7.8171902262447190000000E-7 " " relative error = 7.28143946046781100000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38700000000000023 " " y[1] (analytic) = 1.0739545386958125 " " y[1] (numeric) = 1.0739537423363232 " " absolute error = 7.9635948924128290000000E-7 " " relative error = 7.41520670147141400000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38800000000000023 " " y[1] (analytic) = 1.0743324136368617 " " y[1] (numeric) = 1.0743316024130325 " " absolute error = 8.112238292223850000000E-7 " " relative error = 7.55095740317660400000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38900000000000023 " " y[1] (analytic) = 1.07471121424542 " " y[1] (numeric) = 1.0747103879307103 " " absolute error = 8.2631470976757270000000E-7 " " relative error = 7.68871394300791400000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39000000000000024 " " y[1] (analytic) = 1.0750909401426871 " " y[1] (numeric) = 1.0750900985078655 " " absolute error = 8.4163482161336840000000E-7 " " relative error = 7.82849887565479600000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39100000000000024 " " y[1] (analytic) = 1.0754715909489367 " " y[1] (numeric) = 1.0754707337620586 " " absolute error = 8.5718687814484440000000E-7 " " relative error = 7.97033492431455200000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39200000000000024 " " y[1] (analytic) = 1.0758531662835187 " " y[1] (numeric) = 1.0758522933099017 " " absolute error = 8.7297361694993470000000E-7 " " relative error = 8.11424499465460200000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39300000000000024 " " y[1] (analytic) = 1.076235665764857 " " y[1] (numeric) = 1.0762347767670597 " " absolute error = 8.8899779737694470000000E-7 " " relative error = 8.26025215160615900000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39400000000000024 " " y[1] (analytic) = 1.076619089010453 " " y[1] (numeric) = 1.0766181837482491 " " absolute error = 9.0526220386522030000000E-7 " " relative error = 8.40837964982832500000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39500000000000024 " " y[1] (analytic) = 1.077003435636883 " " y[1] (numeric) = 1.0770025138672394 " " absolute error = 9.2176964350265680000000E-7 " " relative error = 8.55865091050123500000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39600000000000024 " " y[1] (analytic) = 1.0773887052598001 " " y[1] (numeric) = 1.0773877667368532 " " absolute error = 9.3852294691387780000000E-7 " " relative error = 8.71108952908099800000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39700000000000024 " " y[1] (analytic) = 1.0777748974939354 " " y[1] (numeric) = 1.0777739419689656 " " absolute error = 9.5552496981454740000000E-7 " " relative error = 8.86571928921664400000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39800000000000024 " " y[1] (analytic) = 1.0781620119530961 " " y[1] (numeric) = 1.0781610391745058 " " absolute error = 9.7277859034683440000000E-7 " " relative error = 9.02256413750509600000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39900000000000024 " " y[1] (analytic) = 1.0785500482501682 " " y[1] (numeric) = 1.0785490579634562 " " absolute error = 9.902867119659930000000E-7 " " relative error = 9.18164820976668700000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40000000000000024 " " y[1] (analytic) = 1.078939005997115 " " y[1] (numeric) = 1.0789379979448532 " " absolute error = 1.0080522616640053000000E-6 " " relative error = 9.34299581404419900000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40100000000000025 " " y[1] (analytic) = 1.0793288848049793 " " y[1] (numeric) = 1.0793278587267876 " " absolute error = 1.0260781917459383000000E-6 " " relative error = 9.50663144655243200000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40200000000000025 " " y[1] (analytic) = 1.0797196842838819 " " y[1] (numeric) = 1.0797186399164045 " " absolute error = 1.0443674773874534000000E-6 " " relative error = 9.67257976851764400000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40300000000000025 " " y[1] (analytic) = 1.0801114040430235 " " y[1] (numeric) = 1.0801103411199036 " " absolute error = 1.0629231199654754000000E-6 " " relative error = 9.8408656365148110000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40400000000000025 " " y[1] (analytic) = 1.0805040436906848 " " y[1] (numeric) = 1.0805029619425395 " " absolute error = 1.0817481452818356000000E-6 " " relative error = 1.00115140854716410000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40500000000000025 " " y[1] (analytic) = 1.0808976028342254 " " y[1] (numeric) = 1.0808965019886223 " " absolute error = 1.1008456031191827000000E-6 " " relative error = 1.01845503240330200000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40600000000000025 " " y[1] (analytic) = 1.0812920810800866 " " y[1] (numeric) = 1.0812909608615175 " " absolute error = 1.1202185690173394000000E-6 " " relative error = 1.03599997504686220000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40700000000000025 " " y[1] (analytic) = 1.0816874780337904 " " y[1] (numeric) = 1.0816863381636463 " " absolute error = 1.1398701440512582000000E-6 " " relative error = 1.05378879500687930000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40800000000000025 " " y[1] (analytic) = 1.0820837932999394 " " y[1] (numeric) = 1.0820826334964861 " " absolute error = 1.1598034532767088000000E-6 " " relative error = 1.07182406802319270000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40900000000000025 " " y[1] (analytic) = 1.0824810264822187 " " y[1] (numeric) = 1.0824798464605703 " " absolute error = 1.1800216483948134000000E-6 " " relative error = 1.09010838945563450000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41000000000000025 " " y[1] (analytic) = 1.082879177183395 " " y[1] (numeric) = 1.0828779766554888 " " absolute error = 1.2005279061977348000000E-6 " " relative error = 1.10864437279175330000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41100000000000025 " " y[1] (analytic) = 1.0832782450053178 " " y[1] (numeric) = 1.0832770236798888 " " absolute error = 1.221325429012765100000E-6 " " relative error = 1.1274346500023820000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41200000000000025 " " y[1] (analytic) = 1.083678229548919 " " y[1] (numeric) = 1.0836769871314742 " " absolute error = 1.2424174447023262000000E-6 " " relative error = 1.1464818714864121000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41300000000000026 " " y[1] (analytic) = 1.0840791304142146 " " y[1] (numeric) = 1.0840778666070063 " " absolute error = 1.2638072082182816000000E-6 " " relative error = 1.16578870744923850000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41400000000000026 " " y[1] (analytic) = 1.0844809472003032 " " y[1] (numeric) = 1.084479661702304 " " absolute error = 1.2854979991594462000000E-6 " " relative error = 1.18535784559248250000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41500000000000026 " " y[1] (analytic) = 1.0848836795053685 " " y[1] (numeric) = 1.0848823720122445 " " absolute error = 1.3074931239920318000000E-6 " " relative error = 1.20519199310672440000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41600000000000026 " " y[1] (analytic) = 1.0852873269266778 " " y[1] (numeric) = 1.0852859971307625 " " absolute error = 1.3297959153835137000000E-6 " " relative error = 1.22529387599985760000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41700000000000026 " " y[1] (analytic) = 1.085691889060584 " " y[1] (numeric) = 1.0856905366508514 " " absolute error = 1.35240973264672000000E-6 " " relative error = 1.24566623944931450000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41800000000000026 " " y[1] (analytic) = 1.0860973655025252 " " y[1] (numeric) = 1.0860959901645635 " " absolute error = 1.375337961739831000000E-6 " " relative error = 1.2663118477444030000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41900000000000026 " " y[1] (analytic) = 1.0865037558470245 " " y[1] (numeric) = 1.0865023572630101 " " absolute error = 1.3985840143782013000000E-6 " " relative error = 1.28723348341109320000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42000000000000026 " " y[1] (analytic) = 1.0869110596876919 " " y[1] (numeric) = 1.0869096375363614 " " absolute error = 1.4221513304768507000000E-6 " " relative error = 1.30843394940289350000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42100000000000026 " " y[1] (analytic) = 1.0873192766172235 " " y[1] (numeric) = 1.0873178305738473 " " absolute error = 1.446043376152062000000E-6 " " relative error = 1.32991606720233160000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42200000000000026 " " y[1] (analytic) = 1.0877284062274024 " " y[1] (numeric) = 1.0877269359637578 " " absolute error = 1.4702636446095596000000E-6 " " relative error = 1.3516826775802560000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42300000000000026 " " y[1] (analytic) = 1.088138448109099 " " y[1] (numeric) = 1.0881369532934424 " " absolute error = 1.4948156565885995000000E-6 " " relative error = 1.37373664094509240000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42400000000000027 " " y[1] (analytic) = 1.0885494018522717 " " y[1] (numeric) = 1.0885478821493113 " " absolute error = 1.5197029603619683000000E-6 " " relative error = 1.39608083728312850000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42500000000000027 " " y[1] (analytic) = 1.0889612670459665 " " y[1] (numeric) = 1.0889597221168352 " " absolute error = 1.5449291312918945000000E-6 " " relative error = 1.41871816569090230000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42600000000000027 " " y[1] (analytic) = 1.089374043278318 " " y[1] (numeric) = 1.0893724727805458 " " absolute error = 1.5704977722741376000000E-6 " " relative error = 1.44165154472374350000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42700000000000027 " " y[1] (analytic) = 1.089787730136551 " " y[1] (numeric) = 1.089786133724036 " " absolute error = 1.5964125150702557000000E-6 " " relative error = 1.46488391355830750000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42800000000000027 " " y[1] (analytic) = 1.0902023272069776 " " y[1] (numeric) = 1.09020070452996 " " absolute error = 1.6226770176430705000000E-6 " " relative error = 1.4884182294861320000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42900000000000027 " " y[1] (analytic) = 1.0906178340750012 " " y[1] (numeric) = 1.0906161847800337 " " absolute error = 1.6492949674873358000000E-6 " " relative error = 1.51225747090975470000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.43000000000000027 " " y[1] (analytic) = 1.091034250325115 " " y[1] (numeric) = 1.0910325740550355 " " absolute error = 1.6762700794092922000000E-6 " " relative error = 1.53640463524383800000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.43100000000000027 " " y[1] (analytic) = 1.0914515755409027 " " y[1] (numeric) = 1.0914498719348054 " " absolute error = 1.7036060973030231000000E-6 " " relative error = 1.56086274048278180000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4320000000000003 " " y[1] (analytic) = 1.0918698093050392 " " y[1] (numeric) = 1.0918680779982461 " " absolute error = 1.7313067930402326000000E-6 " " relative error = 1.58563482412082350000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4330000000000003 " " y[1] (analytic) = 1.0922889511992906 " " y[1] (numeric) = 1.0922871918233237 " " absolute error = 1.7593759669143338000000E-6 " " relative error = 1.61072394349737580000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4340000000000003 " " y[1] (analytic) = 1.0927090008045153 " " y[1] (numeric) = 1.092707212987067 " " absolute error = 1.7878174483065834000000E-6 " " relative error = 1.63613317634456130000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4350000000000003 " " y[1] (analytic) = 1.0931299577006635 " " y[1] (numeric) = 1.093128141065568 " " absolute error = 1.8166350954640365000000E-6 " " relative error = 1.6618656205207522000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4360000000000003 " " y[1] (analytic) = 1.0935518214667783 " " y[1] (numeric) = 1.0935499756339828 " " absolute error = 1.8458327954995468000000E-6 " " relative error = 1.6879243939475460000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4370000000000003 " " y[1] (analytic) = 1.0939745916809964 " " y[1] (numeric) = 1.0939727162665316 " " absolute error = 1.8754144648358562000000E-6 " " relative error = 1.71431263495261140000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4380000000000003 " " y[1] (analytic) = 1.094398267920547 " " y[1] (numeric) = 1.0943963625364983 " " absolute error = 1.9053840487615048000000E-6 " " relative error = 1.74103350179994540000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4390000000000003 " " y[1] (analytic) = 1.0948228497617545 " " y[1] (numeric) = 1.0948209140162317 " " absolute error = 1.9357455227630993000000E-6 " " relative error = 1.76809017384350260000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4400000000000003 " " y[1] (analytic) = 1.0952483367800367 " " y[1] (numeric) = 1.0952463702771453 " " absolute error = 1.9665028914150895000000E-6 " " relative error = 1.79548585044784270000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4410000000000003 " " y[1] (analytic) = 1.0956747285499067 " " y[1] (numeric) = 1.095672730889718 " " absolute error = 1.997660188601813000000E-6 " " relative error = 1.8232237511269950000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4420000000000003 " " y[1] (analytic) = 1.0961020246449729 " " y[1] (numeric) = 1.0960999954234938 " " absolute error = 2.0292214790718077000000E-6 " " relative error = 1.85130711689823950000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4430000000000003 " " y[1] (analytic) = 1.096530224637939 " " y[1] (numeric) = 1.0965281634470825 " " absolute error = 2.06119085643941000000E-6 " " relative error = 1.8797392083925368000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4440000000000003 " " y[1] (analytic) = 1.0969593281006051 " " y[1] (numeric) = 1.09695723452816 " " absolute error = 2.093572445183156000000E-6 " " relative error = 1.90852330761268560000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4450000000000003 " " y[1] (analytic) = 1.097389334603868 " " y[1] (numeric) = 1.0973872082334681 " " absolute error = 2.1263703997576044000000E-6 " " relative error = 1.9376627170567270000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4460000000000003 " " y[1] (analytic) = 1.0978202437177211 " " y[1] (numeric) = 1.0978180841288157 " " absolute error = 2.159588905481513200000E-6 " " relative error = 1.96716076046125570000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4470000000000003 " " y[1] (analytic) = 1.0982520550112551 " " y[1] (numeric) = 1.098249861779078 " " absolute error = 2.193232177205573000000E-6 " " relative error = 1.99702078152095620000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4480000000000003 " " y[1] (analytic) = 1.0986847680526592 " " y[1] (numeric) = 1.0986825407481975 " " absolute error = 2.2273044617548976000000E-6 " " relative error = 2.02724614604663800000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4490000000000003 " " y[1] (analytic) = 1.0991183824092199 " " y[1] (numeric) = 1.0991161205991844 " " absolute error = 2.2618100354865334000000E-6 " " relative error = 2.05784023967349520000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4500000000000003 " " y[1] (analytic) = 1.0995528976473232 " " y[1] (numeric) = 1.0995506008941163 " " absolute error = 2.296753206953994200000E-6 " " relative error = 2.0888064702191960000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4510000000000003 " " y[1] (analytic) = 1.099988313332454 " " y[1] (numeric) = 1.0999859811941388 " " absolute error = 2.332138315130905000000E-6 " " relative error = 2.12014826599894370000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4520000000000003 " " y[1] (analytic) = 1.1004246290291961 " " y[1] (numeric) = 1.100422261059466 " " absolute error = 2.367969730077135200000E-6 " " relative error = 2.15186907636389260000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4530000000000003 " " y[1] (analytic) = 1.1008618443012343 " " y[1] (numeric) = 1.1008594400493807 " " absolute error = 2.404251853604933000000E-6 " " relative error = 2.18397237223806020000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4540000000000003 " " y[1] (analytic) = 1.1012999587113534 " " y[1] (numeric) = 1.1012975177222342 " " absolute error = 2.4409891192789246000000E-6 " " relative error = 2.2164616460488750000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4550000000000003 " " y[1] (analytic) = 1.101738971821439 " " y[1] (numeric) = 1.1017364936354472 " " absolute error = 2.4781859917499816000000E-6 " " relative error = 2.2493404110530332000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4560000000000003 " " y[1] (analytic) = 1.1021788831924777 " " y[1] (numeric) = 1.10217636734551 " " absolute error = 2.515846967643398000000E-6 " " relative error = 2.28261220207395900000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4570000000000003 " " y[1] (analytic) = 1.1026196923845586 " " y[1] (numeric) = 1.1026171384079824 " " absolute error = 2.5539765762250255000000E-6 " " relative error = 2.31628057603589370000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4580000000000003 " " y[1] (analytic) = 1.1030613989568723 " " y[1] (numeric) = 1.1030588063774944 " " absolute error = 2.5925793778469597000000E-6 " " relative error = 2.35034911048349100000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4590000000000003 " " y[1] (analytic) = 1.1035040024677123 " " y[1] (numeric) = 1.1035013708077464 " " absolute error = 2.6316599659459430000000E-6 " " relative error = 2.38482140532421260000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4600000000000003 " " y[1] (analytic) = 1.103947502474475 " " y[1] (numeric) = 1.1039448312515094 " " absolute error = 2.6712229654890507000000E-6 " " relative error = 2.41970108134812680000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4610000000000003 " " y[1] (analytic) = 1.1043918985336605 " " y[1] (numeric) = 1.1043891872606255 " " absolute error = 2.711273034972095000000E-6 " " relative error = 2.45499178196792870000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4620000000000003 " " y[1] (analytic) = 1.104837190200873 " " y[1] (numeric) = 1.1048344383860078 " " absolute error = 2.751814865087354000000E-6 " " relative error = 2.49069717193991350000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4630000000000003 " " y[1] (analytic) = 1.1052833770308206 " " y[1] (numeric) = 1.1052805841776412 " " absolute error = 2.7928531793897093000000E-6 " " relative error = 2.5268209378958490000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4640000000000003 " " y[1] (analytic) = 1.1057304585773164 " " y[1] (numeric) = 1.1057276241845821 " " absolute error = 2.8343927342966424000000E-6 " " relative error = 2.5633667882708977000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4650000000000003 " " y[1] (analytic) = 1.1061784343932795 " " y[1] (numeric) = 1.1061755579549597 " " absolute error = 2.876438319754371000000E-6 " " relative error = 2.60033845383367050000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4660000000000003 " " y[1] (analytic) = 1.1066273040307335 " " y[1] (numeric) = 1.106624385035975 " " absolute error = 2.9189947585717135000000E-6 " " relative error = 2.6377396870108730000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4670000000000003 " " y[1] (analytic) = 1.1070770670408092 " " y[1] (numeric) = 1.1070741049739021 " " absolute error = 2.962066907086225000000E-6 " " relative error = 2.67557426241676170000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4680000000000003 " " y[1] (analytic) = 1.1075277229737432 " " y[1] (numeric) = 1.1075247173140883 " " absolute error = 3.00565965494215000000E-6 " " relative error = 2.71384597657914060000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4690000000000003 " " y[1] (analytic) = 1.10797927137888 " " y[1] (numeric) = 1.1079762216009539 " " absolute error = 3.0497779262006475000000E-6 " " relative error = 2.75255864886822240000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4700000000000003 " " y[1] (analytic) = 1.1084317118046711 " " y[1] (numeric) = 1.1084286173779931 " " absolute error = 3.0944266780075225000000E-6 " " relative error = 2.7917161202194340000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4710000000000003 " " y[1] (analytic) = 1.1088850437986761 " " y[1] (numeric) = 1.108881904187774 " " absolute error = 3.1396109021475380000000E-6 " " relative error = 2.83132225446224960000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4720000000000003 " " y[1] (analytic) = 1.109339266907563 " " y[1] (numeric) = 1.109336081571939 " " absolute error = 3.1853356239341934000000E-6 " " relative error = 2.87138093724362440000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4730000000000003 " " y[1] (analytic) = 1.109794380677109 " " y[1] (numeric) = 1.1097911490712051 " " absolute error = 3.2316059037640343000000E-6 " " relative error = 2.9118960773547650000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4740000000000003 " " y[1] (analytic) = 1.1102503846521998 " " y[1] (numeric) = 1.1102471062253643 " " absolute error = 3.2784268355623425000000E-6 " " relative error = 2.95287160525447730000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4750000000000003 " " y[1] (analytic) = 1.110707278376832 " " y[1] (numeric) = 1.1107039525732834 " " absolute error = 3.3258035485594917000000E-6 " " relative error = 2.99431147459460500000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4760000000000003 " " y[1] (analytic) = 1.1111650613941115 " " y[1] (numeric) = 1.1111616876529051 " " absolute error = 3.3737412064027694000000E-6 " " relative error = 3.036219661343510000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4770000000000003 " " y[1] (analytic) = 1.1116237332462557 " " y[1] (numeric) = 1.111620311001248 " " absolute error = 3.422245007822511000000E-6 " " relative error = 3.07860016430972300000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4780000000000003 " " y[1] (analytic) = 1.1120832934745928 " " y[1] (numeric) = 1.1120798221544064 " " absolute error = 3.471320186410054000000E-6 " " relative error = 3.1214570048654017000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4790000000000003 " " y[1] (analytic) = 1.112543741619562 " " y[1] (numeric) = 1.1125402206475512 " " absolute error = 3.5209720108397846000000E-6 " " relative error = 3.1647942270694040000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4800000000000003 " " y[1] (analytic) = 1.1130050772207158 " " y[1] (numeric) = 1.1130015060149303 " " absolute error = 3.5712057855352697000000E-6 " " relative error = 3.2086158981888250000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4810000000000003 " " y[1] (analytic) = 1.1134672998167185 " " y[1] (numeric) = 1.1134636777898683 " " absolute error = 3.6220268502251685000000E-6 " " relative error = 3.25292610822192100000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4820000000000003 " " y[1] (analytic) = 1.1139304089453477 " " y[1] (numeric) = 1.1139267355047675 " " absolute error = 3.673440580165277000000E-6 " " relative error = 3.29772897001998100000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4830000000000003 " " y[1] (analytic) = 1.114394404143494 " " y[1] (numeric) = 1.1143906786911075 " " absolute error = 3.7254523865826170000000E-6 " " relative error = 3.34302861960792200000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4840000000000003 " " y[1] (analytic) = 1.1148592849471624 " " y[1] (numeric) = 1.1148555068794461 " " absolute error = 3.778067716231348000000E-6 " " relative error = 3.38882921570717000000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4850000000000003 " " y[1] (analytic) = 1.1153250508914718 " " y[1] (numeric) = 1.1153212195994195 " " absolute error = 3.8312920522809435000000E-6 " " relative error = 3.43513494045401160000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4860000000000003 " " y[1] (analytic) = 1.1157917015106569 " " y[1] (numeric) = 1.1157878163797423 " " absolute error = 3.885130914538237300000E-6 " " relative error = 3.48194999951891200000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4870000000000003 " " y[1] (analytic) = 1.1162592363380666 " " y[1] (numeric) = 1.116255296748208 " " absolute error = 3.939589858559245000000E-6 " " relative error = 3.52927862123069900000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4880000000000003 " " y[1] (analytic) = 1.1167276549061664 " " y[1] (numeric) = 1.1167236602316897 " " absolute error = 3.994674476759385600000E-6 " " relative error = 3.57712505749223140000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4890000000000003 " " y[1] (analytic) = 1.1171969567465376 " " y[1] (numeric) = 1.1171929063561394 " " absolute error = 4.050390398191439000000E-6 " " relative error = 3.625493583501020500E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4900000000000003 " " y[1] (analytic) = 1.1176671413898787 " " y[1] (numeric) = 1.11766303464659 " " absolute error = 4.106743288767589000000E-6 " " relative error = 3.67438849786765300000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4910000000000003 " " y[1] (analytic) = 1.1181382083660047 " " y[1] (numeric) = 1.1181340446271533 " " absolute error = 4.163738851481469000000E-6 " " relative error = 3.72381412273368600000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4920000000000003 " " y[1] (analytic) = 1.118610157203849 " " y[1] (numeric) = 1.1186059358210227 " " absolute error = 4.221382826186115000000E-6 " " relative error = 3.77377480349200430000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4930000000000003 " " y[1] (analytic) = 1.1190829874314625 " " y[1] (numeric) = 1.119078707750472 " " absolute error = 4.279680990482148700000E-6 " " relative error = 3.82427490949973470000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4940000000000003 " " y[1] (analytic) = 1.119556698576015 " " y[1] (numeric) = 1.119552359936856 " " absolute error = 4.338639159051638000000E-6 " " relative error = 3.87531883340078650000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.49500000000000033 " " y[1] (analytic) = 1.1200312901637959 " " y[1] (numeric) = 1.120026891900611 " " absolute error = 4.398263184768325000000E-6 " " relative error = 3.92691099203586860000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.49600000000000033 " " y[1] (analytic) = 1.1205067617202134 " " y[1] (numeric) = 1.1205023031612558 " " absolute error = 4.4585589575873996000E-6 " " relative error = 3.9790558253683134000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.49700000000000033 " " y[1] (analytic) = 1.1209831127697956 " " y[1] (numeric) = 1.1209785932373901 " " absolute error = 4.519532405433679400000E-6 " " relative error = 4.03175779719511960000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.49800000000000033 " " y[1] (analytic) = 1.1214603428361918 " " y[1] (numeric) = 1.121455761646697 " " absolute error = 4.581189494867743400000E-6 " " relative error = 4.085021395657950000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.49900000000000033 " " y[1] (analytic) = 1.1219384514421717 " " y[1] (numeric) = 1.1219338079059415 " " absolute error = 4.643536230197753400000E-6 " " relative error = 4.1388511323672160000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5000000000000003 " " y[1] (analytic) = 1.1224174381096275 " " y[1] (numeric) = 1.1224127315309724 " " absolute error = 4.706578655033766000000E-6 " " relative error = 4.19325154370425170000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5010000000000003 " " y[1] (analytic) = 1.1228973023595716 " " y[1] (numeric) = 1.1228925320367218 " " absolute error = 4.770322849845243000000E-6 " " relative error = 4.24822718856056270000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5020000000000003 " " y[1] (analytic) = 1.1233780437121408 " " y[1] (numeric) = 1.123373208937205 " " absolute error = 4.834774935735808300000E-6 " " relative error = 4.3037826516170470000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5030000000000003 " " y[1] (analytic) = 1.1238596616865928 " " y[1] (numeric) = 1.123854761745522 " " absolute error = 4.8999410708905344000000E-6 " " relative error = 4.359922540094659500E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5040000000000003 " " y[1] (analytic) = 1.12434215580131 " " y[1] (numeric) = 1.1243371899738563 " " absolute error = 4.965827453684568000000E-6 " " relative error = 4.4166514864378280000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5050000000000003 " " y[1] (analytic) = 1.1248255255737987 " " y[1] (numeric) = 1.1248204931334773 " " absolute error = 5.032440321350862000000E-6 " " relative error = 4.4739741470426730000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5060000000000003 " " y[1] (analytic) = 1.125309770520689 " " y[1] (numeric) = 1.1253046707347383 " " absolute error = 5.099785950646307000000E-6 " " relative error = 4.5318952027641240000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5070000000000003 " " y[1] (analytic) = 1.1257948901577357 " " y[1] (numeric) = 1.1257897222870785 " " absolute error = 5.1678706571856030000000E-6 " " relative error = 4.59041935823809750000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5080000000000003 " " y[1] (analytic) = 1.1262808839998195 " " y[1] (numeric) = 1.1262756472990227 " " absolute error = 5.236700796773519000000E-6 " " relative error = 4.64955134297951770000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5090000000000003 " " y[1] (analytic) = 1.1267677515609464 " " y[1] (numeric) = 1.1267624452781815 " " absolute error = 5.306282764960812000000E-6 " " relative error = 4.70929591090076300000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5100000000000003 " " y[1] (analytic) = 1.1272554923542488 " " y[1] (numeric) = 1.127250115731252 " " absolute error = 5.376622996822178000000E-6 " " relative error = 4.7696578400280990000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5110000000000003 " " y[1] (analytic) = 1.1277441058919864 " " y[1] (numeric) = 1.1277386581640179 " " absolute error = 5.447727968510563000000E-6 " " relative error = 4.8306419337937450000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5120000000000003 " " y[1] (analytic) = 1.1282335916855453 " " y[1] (numeric) = 1.1282280720813498 " " absolute error = 5.5196041954808100000000E-6 " " relative error = 4.8922530193722524000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5130000000000003 " " y[1] (analytic) = 1.12872394924544 " " y[1] (numeric) = 1.1287183569872057 " " absolute error = 5.592258234266012000000E-6 " " relative error = 4.9544959491685070000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5140000000000003 " " y[1] (analytic) = 1.1292151780813127 " " y[1] (numeric) = 1.1292095123846313 " " absolute error = 5.665696681367294000000E-6 " " relative error = 5.0173755997453640000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5150000000000003 " " y[1] (analytic) = 1.1297072777019346 " " y[1] (numeric) = 1.1297015377757602 " " absolute error = 5.7399261743640300000000E-6 " " relative error = 5.0808968727193330000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5160000000000003 " " y[1] (analytic) = 1.1302002476152064 " " y[1] (numeric) = 1.1301944326618143 " " absolute error = 5.814953392135891000000E-6 " " relative error = 5.1450646948678410000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5170000000000003 " " y[1] (analytic) = 1.1306940873281583 " " y[1] (numeric) = 1.1306881965431042 " " absolute error = 5.890785054196712000000E-6 " " relative error = 5.2098840174504650000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5180000000000003 " " y[1] (analytic) = 1.1311887963469505 " " y[1] (numeric) = 1.1311828289190293 " " absolute error = 5.9674279211385800000000E-6 " " relative error = 5.275359816513150000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5190000000000003 " " y[1] (analytic) = 1.1316843741768736 " " y[1] (numeric) = 1.1316783292880785 " " absolute error = 6.04488879507592000000E-6 " " relative error = 5.3414970931914190000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5200000000000004 " " y[1] (analytic) = 1.1321808203223502 " " y[1] (numeric) = 1.1321746971478301 " " absolute error = 6.1231745200895920000000E-6 " " relative error = 5.4083008740125320000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5210000000000004 " " y[1] (analytic) = 1.1326781342869343 " " y[1] (numeric) = 1.1326719319949528 " " absolute error = 6.202291981560748000000E-6 " " relative error = 5.475776210216450000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5220000000000004 " " y[1] (analytic) = 1.1331763155733119 " " y[1] (numeric) = 1.1331700333252048 " " absolute error = 6.282248107059019000000E-6 " " relative error = 5.5439281784499860000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5230000000000004 " " y[1] (analytic) = 1.1336753636833015 " " y[1] (numeric) = 1.133669000633436 " " absolute error = 6.363049865454329000000E-6 " " relative error = 5.6127618798919960000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5240000000000004 " " y[1] (analytic) = 1.1341752781178553 " " y[1] (numeric) = 1.1341688334135864 " " absolute error = 6.444704268915302000000E-6 " " relative error = 5.6822824419257130000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5250000000000004 " " y[1] (analytic) = 1.134676058377059 " " y[1] (numeric) = 1.1346695311586878 " " absolute error = 6.5272183711329030000000E-6 " " relative error = 5.7524950164797370000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5260000000000004 " " y[1] (analytic) = 1.135177703960132 " " y[1] (numeric) = 1.1351710933608636 " " absolute error = 6.610599268430661000000E-6 " " relative error = 5.8234047809159830000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5270000000000004 " " y[1] (analytic) = 1.135680214365429 " " y[1] (numeric) = 1.135673519511329 " " absolute error = 6.6948540999867130000000E-6 " " relative error = 5.8950169381329940000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5280000000000004 " " y[1] (analytic) = 1.1361835890904395 " " y[1] (numeric) = 1.1361768091003916 " " absolute error = 6.779990047833806000000E-6 " " relative error = 5.9673367164733120000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5290000000000004 " " y[1] (analytic) = 1.136687827631789 " " y[1] (numeric) = 1.1366809616174518 " " absolute error = 6.866014337303383000000E-6 " " relative error = 6.040369370021540000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5300000000000004 " " y[1] (analytic) = 1.1371929294852392 " " y[1] (numeric) = 1.1371859765510028 " " absolute error = 6.952934236359454000000E-6 " " relative error = 6.1141201779250980000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5310000000000004 " " y[1] (analytic) = 1.1376988941456878 " " y[1] (numeric) = 1.1376918533886315 " " absolute error = 7.040757056264724000000E-6 " " relative error = 6.188594444887560000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5320000000000004 " " y[1] (analytic) = 1.1382057211071703 " " y[1] (numeric) = 1.138198591617018 " " absolute error = 7.129490152246731000000E-6 " " relative error = 6.2637975016604560000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5330000000000004 " " y[1] (analytic) = 1.1387134098628602 " " y[1] (numeric) = 1.1387061907219371 " " absolute error = 7.219140923053757000000E-6 " " relative error = 6.3397347045585320000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5340000000000004 " " y[1] (analytic) = 1.1392219599050681 " " y[1] (numeric) = 1.1392146501882572 " " absolute error = 7.309716810954825000000E-6 " " relative error = 6.4164114353658940000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5350000000000004 " " y[1] (analytic) = 1.1397313707252446 " " y[1] (numeric) = 1.139723969499942 " " absolute error = 7.4012253026278780000000E-6 " " relative error = 6.4938331020214530000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5360000000000004 " " y[1] (analytic) = 1.1402416418139785 " " y[1] (numeric) = 1.14023414814005 " " absolute error = 7.493673928493649000000E-6 " " relative error = 6.572005137939160000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5370000000000004 " " y[1] (analytic) = 1.140752772660999 " " y[1] (numeric) = 1.1407451855907351 " " absolute error = 7.587070263825879000000E-6 " " relative error = 6.6509330028869920000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5380000000000004 " " y[1] (analytic) = 1.1412647627551753 " " y[1] (numeric) = 1.1412570813332474 " " absolute error = 7.681421927863141000000E-6 " " relative error = 6.7306221821123240000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5390000000000004 " " y[1] (analytic) = 1.141777611584517 " " y[1] (numeric) = 1.1417698348479326 " " absolute error = 7.776736584474975000000E-6 " " relative error = 6.8110781868307140000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5400000000000004 " " y[1] (analytic) = 1.142291318636176 " " y[1] (numeric) = 1.1422834456142328 " " absolute error = 7.873021943272107000000E-6 " " relative error = 6.8923065551018980000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5410000000000004 " " y[1] (analytic) = 1.1428058833964447 " " y[1] (numeric) = 1.1427979131106873 " " absolute error = 7.970285757386009000000E-6 " " relative error = 6.974312849788750000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5420000000000004 " " y[1] (analytic) = 1.1433213053507587 " " y[1] (numeric) = 1.1433132368149324 " " absolute error = 8.068535826355472000000E-6 " " relative error = 7.0571026609883140000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5430000000000004 " " y[1] (analytic) = 1.1438375839836958 " " y[1] (numeric) = 1.1438294162037015 " " absolute error = 8.167779994350255000000E-6 " " relative error = 7.1406816043794890000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5440000000000004 " " y[1] (analytic) = 1.1443547187789775 " " y[1] (numeric) = 1.1443464507528265 " " absolute error = 8.26802615105926000000E-6 " " relative error = 7.2250553219033460000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5450000000000004 " " y[1] (analytic) = 1.1448727092194693 " " y[1] (numeric) = 1.144864339937237 " " absolute error = 8.369282232356667000000E-6 " " relative error = 7.3102294822474420000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5460000000000004 " " y[1] (analytic) = 1.1453915547871807 " " y[1] (numeric) = 1.1453830832309613 " " absolute error = 8.471556219413756000000E-6 " " relative error = 7.3962097799715420000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5470000000000004 " " y[1] (analytic) = 1.145911254963266 " " y[1] (numeric) = 1.1459026801071266 " " absolute error = 8.574856139365039000000E-6 " " relative error = 7.4830019359919110000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5480000000000004 " " y[1] (analytic) = 1.1464318092280252 " " y[1] (numeric) = 1.1464231300379595 " " absolute error = 8.679190065752351000000E-6 " " relative error = 7.5706116978703440000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5490000000000004 " " y[1] (analytic) = 1.1469532170609038 " " y[1] (numeric) = 1.1469444324947857 " " absolute error = 8.784566118080761000000E-6 " " relative error = 7.6590448393278240000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5500000000000004 " " y[1] (analytic) = 1.1474754779404943 " " y[1] (numeric) = 1.1474665869480316 " " absolute error = 8.890992462706748000000E-6 " " relative error = 7.7483071609202760000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5510000000000004 " " y[1] (analytic) = 1.147998591344536 " " y[1] (numeric) = 1.1479895928672232 " " absolute error = 8.998477312838205000000E-6 " " relative error = 7.8384044899386040000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5520000000000004 " " y[1] (analytic) = 1.1485225567499153 " " y[1] (numeric) = 1.1485134497209875 " " absolute error = 9.1070289278682990000E-6 " " relative error = 7.9293426797287590000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5530000000000004 " " y[1] (analytic) = 1.149047373632667 " " y[1] (numeric) = 1.1490381569770522 " " absolute error = 9.216655614707747000000E-6 " " relative error = 8.0211276107526030000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5540000000000004 " " y[1] (analytic) = 1.1495730414679741 " " y[1] (numeric) = 1.149563714102247 " " absolute error = 9.327365727118675000000E-6 " " relative error = 8.113765189907269000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5550000000000004 " " y[1] (analytic) = 1.1500995597301689 " " y[1] (numeric) = 1.1500901205625027 " " absolute error = 9.43916766615871000000E-6 " " relative error = 8.2072613508114760000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5560000000000004 " " y[1] (analytic) = 1.1506269278927328 " " y[1] (numeric) = 1.1506173758228522 " " absolute error = 9.55206988062506900000E-6 " " relative error = 8.3016220540908110000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5570000000000004 " " y[1] (analytic) = 1.1511551454282984 " " y[1] (numeric) = 1.1511454793474312 " " absolute error = 9.666080867276605000000E-6 " " relative error = 8.3968532874691240000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5580000000000004 " " y[1] (analytic) = 1.1516842118086477 " " y[1] (numeric) = 1.151674430599478 " " absolute error = 9.781209169723581000000E-6 " " relative error = 8.492961064702630000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5590000000000004 " " y[1] (analytic) = 1.1522141265047146 " " y[1] (numeric) = 1.152204229041334 " " absolute error = 9.89746338064811900000E-6 " " relative error = 8.5899514274073800000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5600000000000004 " " y[1] (analytic) = 1.1527448889865841 " " y[1] (numeric) = 1.152734874134444 " " absolute error = 1.001485214002784100000E-5 " " relative error = 8.6878304434142640000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5610000000000004 " " y[1] (analytic) = 1.153276498723494 " " y[1] (numeric) = 1.1532663653393571 " " absolute error = 1.013338413691222700000E-5 " " relative error = 8.7866042082088550000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5620000000000004 " " y[1] (analytic) = 1.1538089551838349 " " y[1] (numeric) = 1.153798702115726 " " absolute error = 1.02530681087564800000E-5 " " relative error = 8.8862788442501500000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5630000000000004 " " y[1] (analytic) = 1.1543422578351499 " " y[1] (numeric) = 1.1543318839223087 " " absolute error = 1.037391284119948400000E-5 " " relative error = 8.9868605006756750000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5640000000000004 " " y[1] (analytic) = 1.1548764061441368 " " y[1] (numeric) = 1.1548659102169674 " " absolute error = 1.049592716939606900000E-5 " " relative error = 9.0883553543530460000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5650000000000004 " " y[1] (analytic) = 1.1554113995766468 " " y[1] (numeric) = 1.1554007804566702 " " absolute error = 1.061911997668474300000E-5 " " relative error = 9.1907696086222490000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5660000000000004 " " y[1] (analytic) = 1.1559472375976871 " " y[1] (numeric) = 1.1559364940974903 " " absolute error = 1.074350019680814200000E-5 " " relative error = 9.2941094951145880000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5670000000000004 " " y[1] (analytic) = 1.1564839196714196 " " y[1] (numeric) = 1.1564730505946075 " " absolute error = 1.086907681213666900000E-5 " " relative error = 9.3983812721103740000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5680000000000004 " " y[1] (analytic) = 1.1570214452611618 " " y[1] (numeric) = 1.1570104494023077 " " absolute error = 1.099585885411258300000E-5 " " relative error = 9.5035912248200450000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5690000000000004 " " y[1] (analytic) = 1.1575598138293888 " " y[1] (numeric) = 1.1575486899739835 " " absolute error = 1.112385540524840600000E-5 " " relative error = 9.6097456670070070000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5700000000000004 " " y[1] (analytic) = 1.1580990248377314 " " y[1] (numeric) = 1.1580877717621347 " " absolute error = 1.125307559668442500000E-5 " " relative error = 9.7168509387711180000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5710000000000004 " " y[1] (analytic) = 1.1586390777469793 " " y[1] (numeric) = 1.1586276942183689 " " absolute error = 1.138352861040914400000E-5 " " relative error = 9.8249134083625740000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5720000000000004 " " y[1] (analytic) = 1.1591799720170792 " " y[1] (numeric) = 1.1591684567934009 " " absolute error = 1.1515223678371100000E-5 " " relative error = 9.9339394713088060000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5730000000000004 " " y[1] (analytic) = 1.159721707107137 " " y[1] (numeric) = 1.159710058937054 " " absolute error = 1.164817008314500400000E-5 " " relative error = 1.0043935550883784000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5740000000000004 " " y[1] (analytic) = 1.160264282475418 " " y[1] (numeric) = 1.1602525000982602 " " absolute error = 1.17823771577096890000E-5 " " relative error = 1.0154908097810308000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5750000000000004 " " y[1] (analytic) = 1.160807697579346 " " y[1] (numeric) = 1.1607957797250605 " " absolute error = 1.191785428544811500000E-5 " " relative error = 1.02668635901542000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5760000000000004 " " y[1] (analytic) = 1.1613519518755069 " " y[1] (numeric) = 1.1613398972646052 " " absolute error = 1.205461090170167900000E-5 " " relative error = 1.037980853455688100E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5770000000000004 " " y[1] (analytic) = 1.161897044819646 " " y[1] (numeric) = 1.161884852163154 " " absolute error = 1.219265649199385800000E-5 " " relative error = 1.049374946459774200E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5780000000000004 " " y[1] (analytic) = 1.1624429758666701 " " y[1] (numeric) = 1.1624306438660768 " " absolute error = 1.23320005933624800000E-5 " " relative error = 1.0608692941835056000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5790000000000004 " " y[1] (analytic) = 1.1629897444706487 " " y[1] (numeric) = 1.162977271817854 " " absolute error = 1.247265279480380700000E-5 " " relative error = 1.0724645556080042000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5800000000000004 " " y[1] (analytic) = 1.1635373500848134 " " y[1] (numeric) = 1.1635247354620768 " " absolute error = 1.261462273660640700000E-5 " " relative error = 1.0841613924715775000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5810000000000004 " " y[1] (analytic) = 1.164085792161558 " " y[1] (numeric) = 1.1640730342414476 " " absolute error = 1.27579201103511500000E-5 " " relative error = 1.0959604692589994000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5820000000000004 " " y[1] (analytic) = 1.1646350701524408 " " y[1] (numeric) = 1.1646221675977801 " " absolute error = 1.29025546606875700000E-5 " " relative error = 1.1078624533433239000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5830000000000004 " " y[1] (analytic) = 1.165185183508184 " " y[1] (numeric) = 1.1651721349720001 " " absolute error = 1.304853618377954700000E-5 " " relative error = 1.1198680148414278000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5840000000000004 " " y[1] (analytic) = 1.1657361316786738 " " y[1] (numeric) = 1.1657229358041459 " " absolute error = 1.31958745279714400000E-5 " " relative error = 1.1319778266604145000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5850000000000004 " " y[1] (analytic) = 1.1662879141129627 " " y[1] (numeric) = 1.1662745695333678 " " absolute error = 1.33445795948983200000E-5 " " relative error = 1.1441925645819398000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5860000000000004 " " y[1] (analytic) = 1.1668405302592677 " " y[1] (numeric) = 1.1668270355979298 " " absolute error = 1.349466133793164600000E-5 " " relative error = 1.156512907117923100E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5870000000000004 " " y[1] (analytic) = 1.1673939795649733 " " y[1] (numeric) = 1.167380333435209 " " absolute error = 1.364612976417767200000E-5 " " relative error = 1.1689395356709713000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5880000000000004 " " y[1] (analytic) = 1.1679482614766301 " " y[1] (numeric) = 1.1679344624816965 " " absolute error = 1.37989949335892700000E-5 " " relative error = 1.1814731344471786000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5890000000000004 " " y[1] (analytic) = 1.1685033754399559 " " y[1] (numeric) = 1.1684894221729971 " " absolute error = 1.395326695874388200000E-5 " " relative error = 1.1941143904261556000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5900000000000004 " " y[1] (analytic) = 1.1690593208998368 " " y[1] (numeric) = 1.1690452119438306 " " absolute error = 1.410895600617578800000E-5 " " relative error = 1.206863993464077000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5910000000000004 " " y[1] (analytic) = 1.1696160973003276 " " y[1] (numeric) = 1.1696018312280312 " " absolute error = 1.426607229637611000000E-5 " " relative error = 1.2197226362825053000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5920000000000004 " " y[1] (analytic) = 1.170173704084652 " " y[1] (numeric) = 1.170159279458549 " " absolute error = 1.44246261031266700000E-5 " " relative error = 1.2326910144003006000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5930000000000004 " " y[1] (analytic) = 1.1707321406952031 " " y[1] (numeric) = 1.1707175560674492 " " absolute error = 1.45846277539440900000E-5 " " relative error = 1.2457698261605304000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5940000000000004 " " y[1] (analytic) = 1.1712914065735445 " " y[1] (numeric) = 1.1712766604859137 " " absolute error = 1.474608763074592000000E-5 " " relative error = 1.2589597727762397000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5950000000000004 " " y[1] (analytic) = 1.1718515011604103 " " y[1] (numeric) = 1.1718365921442402 " " absolute error = 1.490901617007267500000E-5 " " relative error = 1.2722615583381702000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5960000000000004 " " y[1] (analytic) = 1.1724124238957057 " " y[1] (numeric) = 1.1723973504718432 " " absolute error = 1.50734238624217200000E-5 " " relative error = 1.2856758897466790000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5970000000000004 " " y[1] (analytic) = 1.1729741742185085 " " y[1] (numeric) = 1.172958934897255 " " absolute error = 1.523932125357951900000E-5 " " relative error = 1.2992034768142005000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5980000000000004 " " y[1] (analytic) = 1.173536751567068 " " y[1] (numeric) = 1.1735213448481245 " " absolute error = 1.54067189435114220000E-5 " " relative error = 1.312845032159260800E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5990000000000004 " " y[1] (analytic) = 1.174100155378807 " " y[1] (numeric) = 1.1740845797512198 " " absolute error = 1.55756275872498400000E-5 " " relative error = 1.3266012712709830000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6000000000000004 " " y[1] (analytic) = 1.1746643850903218 " " y[1] (numeric) = 1.1746486390324262 " " absolute error = 1.574605789556038400000E-5 " " relative error = 1.3404729125544780000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6010000000000004 " " y[1] (analytic) = 1.1752294401373828 " " y[1] (numeric) = 1.1752135221167481 " " absolute error = 1.59180206347198100000E-5 " " relative error = 1.354460677300512000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6020000000000004 " " y[1] (analytic) = 1.1757953199549351 " " y[1] (numeric) = 1.1757792284283093 " " absolute error = 1.609152662584989500000E-5 " " relative error = 1.3685652896174683000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6030000000000004 " " y[1] (analytic) = 1.1763620239770987 " " y[1] (numeric) = 1.1763457573903524 " " absolute error = 1.6266586746249700000E-5 " " relative error = 1.3827874765333614000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6040000000000004 " " y[1] (analytic) = 1.1769295516371696 " " y[1] (numeric) = 1.1769131084252407 " " absolute error = 1.644321192895148400000E-5 " " relative error = 1.3971279679466056000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6050000000000004 " " y[1] (analytic) = 1.1774979023676202 " " y[1] (numeric) = 1.177481280954457 " " absolute error = 1.66214131631647900000E-5 " " relative error = 1.4115874966523300000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6060000000000004 " " y[1] (analytic) = 1.1780670756001 " " y[1] (numeric) = 1.1780502743986052 " " absolute error = 1.68012014947205300000E-5 " " relative error = 1.4261667983685994000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6070000000000004 " " y[1] (analytic) = 1.1786370707654357 " " y[1] (numeric) = 1.1786200881774098 " " absolute error = 1.698258802584895500000E-5 " " relative error = 1.4408666117060148000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6080000000000004 " " y[1] (analytic) = 1.1792078872936322 " " y[1] (numeric) = 1.179190721709717 " " absolute error = 1.71655839151796390000E-5 " " relative error = 1.4556876781562156000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6090000000000004 " " y[1] (analytic) = 1.179779524613873 " " y[1] (numeric) = 1.179762174413495 " " absolute error = 1.73502003779635320000E-5 " " relative error = 1.47063074209921000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6100000000000004 " " y[1] (analytic) = 1.1803519821545208 " " y[1] (numeric) = 1.1803344457058336 " " absolute error = 1.75364486871831820000E-5 " " relative error = 1.4856965508859094000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6110000000000004 " " y[1] (analytic) = 1.180925259343118 " " y[1] (numeric) = 1.1809075350029457 " " absolute error = 1.77243401724425100000E-5 " " relative error = 1.500885854732378000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6120000000000004 " " y[1] (analytic) = 1.181499355606388 " " y[1] (numeric) = 1.181481441720167 " " absolute error = 1.791388622107703600000E-5 " " relative error = 1.5161994068022985000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6130000000000004 " " y[1] (analytic) = 1.1820742703702338 " " y[1] (numeric) = 1.1820561652719561 " " absolute error = 1.810509827770978600000E-5 " " relative error = 1.531637963157691000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6140000000000004 " " y[1] (analytic) = 1.182650003059741 " " y[1] (numeric) = 1.182631705071896 " " absolute error = 1.829798784513947400000E-5 " " relative error = 1.547202282822398000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6150000000000004 " " y[1] (analytic) = 1.1832265530991775 " " y[1] (numeric) = 1.1832080605326936 " " absolute error = 1.84925664838964100000E-5 " " relative error = 1.5628931277327726000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6160000000000004 " " y[1] (analytic) = 1.1838039199119925 " " y[1] (numeric) = 1.18378523106618 " " absolute error = 1.86888458124645500000E-5 " " relative error = 1.578711262744757000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6170000000000004 " " y[1] (analytic) = 1.1843821029208197 " " y[1] (numeric) = 1.1843632160833117 " " absolute error = 1.888683750794761800000E-5 " " relative error = 1.5946574556784124000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6180000000000004 " " y[1] (analytic) = 1.1849611015474757 " " y[1] (numeric) = 1.18494201499417 " " absolute error = 1.90865533056250300000E-5 " " relative error = 1.6107324772686070000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6190000000000004 " " y[1] (analytic) = 1.1855409152129628 " " y[1] (numeric) = 1.1855216272079625 " " absolute error = 1.92880050002841590000E-5 " " relative error = 1.6269371012656605000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6200000000000004 " " y[1] (analytic) = 1.1861215433374663 " " y[1] (numeric) = 1.1861020521330223 " " absolute error = 1.949120444399987700000E-5 " " relative error = 1.6432721042361495000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6210000000000004 " " y[1] (analytic) = 1.186702985340359 " " y[1] (numeric) = 1.1866832891768093 " " absolute error = 1.969616354968728400000E-5 " " relative error = 1.659738265850761000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6220000000000004 " " y[1] (analytic) = 1.1872852406401981 " " y[1] (numeric) = 1.1872653377459104 " " absolute error = 1.990289428777103400000E-5 " " relative error = 1.676336368591524000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6230000000000004 " " y[1] (analytic) = 1.1878683086547293 " " y[1] (numeric) = 1.1878481972460393 " " absolute error = 2.011140868996008600000E-5 " " relative error = 1.6930671980580425000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6240000000000004 " " y[1] (analytic) = 1.188452188800884 " " y[1] (numeric) = 1.1884318670820377 " " absolute error = 2.032171884636113600000E-5 " " relative error = 1.709931542712306900E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6250000000000004 " " y[1] (analytic) = 1.1890368804947824 " " y[1] (numeric) = 1.1890163466578756 " " absolute error = 2.053383690681087600000E-5 " " relative error = 1.7269301939790402000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6260000000000004 " " y[1] (analytic) = 1.1896223831517325 " " y[1] (numeric) = 1.189601635376651 " " absolute error = 2.07477750815421300000E-5 " " relative error = 1.7440639462897375000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6270000000000004 " " y[1] (analytic) = 1.1902086961862322 " " y[1] (numeric) = 1.1901877326405907 " " absolute error = 2.0963545641405900000E-5 " " relative error = 1.7613335970892396000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6280000000000004 " " y[1] (analytic) = 1.190795819011968 " " y[1] (numeric) = 1.1907746378510515 " " absolute error = 2.1181160916539100000E-5 " " relative error = 1.7787399467117393000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6290000000000004 " " y[1] (analytic) = 1.1913837510418173 " " y[1] (numeric) = 1.1913623504085191 " " absolute error = 2.140063329814090300000E-5 " " relative error = 1.7962837985180602000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6300000000000004 " " y[1] (analytic) = 1.1919724916878485 " " y[1] (numeric) = 1.1919508697126096 " " absolute error = 2.162197523891684600000E-5 " " relative error = 1.813965958920733800E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6310000000000004 " " y[1] (analytic) = 1.1925620403613204 " " y[1] (numeric) = 1.1925401951620693 " " absolute error = 2.184519925108041600000E-5 " " relative error = 1.831787237204178800E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6320000000000005 " " y[1] (analytic) = 1.1931523964726847 " " y[1] (numeric) = 1.1931303261547757 " " absolute error = 2.20703179090175900000E-5 " " relative error = 1.8497484457361900000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6330000000000005 " " y[1] (analytic) = 1.1937435594315853 " " y[1] (numeric) = 1.1937212620877373 " " absolute error = 2.229734384795456500000E-5 " " relative error = 1.867850399843975200E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6340000000000005 " " y[1] (analytic) = 1.1943355286468593 " " y[1] (numeric) = 1.1943130023570947 " " absolute error = 2.252628976462389700000E-5 " " relative error = 1.886093917857857000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6350000000000005 " " y[1] (analytic) = 1.1949283035265374 " " y[1] (numeric) = 1.19490554635812 " " absolute error = 2.27571684174865400000E-5 " " relative error = 1.9044798211176642000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6360000000000005 " " y[1] (analytic) = 1.195521883477845 " " y[1] (numeric) = 1.195498893485218 " " absolute error = 2.298999262695389200000E-5 " " relative error = 1.9230089339790774000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6370000000000005 " " y[1] (analytic) = 1.1961162679072022 " " y[1] (numeric) = 1.1960930431319263 " " absolute error = 2.322477527583188800000E-5 " " relative error = 1.9416820838385024000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6380000000000005 " " y[1] (analytic) = 1.1967114562202243 " " y[1] (numeric) = 1.1966879946909161 " " absolute error = 2.34615293082107700000E-5 " " relative error = 1.9605001010279685000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6390000000000005 " " y[1] (analytic) = 1.1973074478217234 " " y[1] (numeric) = 1.197283747553992 " " absolute error = 2.370026773146349800000E-5 " " relative error = 1.9794638189699476000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6400000000000005 " " y[1] (analytic) = 1.1979042421157078 " " y[1] (numeric) = 1.1978803011120924 " " absolute error = 2.39410036153575600000E-5 " " relative error = 1.998574074090728000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6410000000000005 " " y[1] (analytic) = 1.1985018385053832 " " y[1] (numeric) = 1.1984776547552909 " " absolute error = 2.418375009227702300000E-5 " " relative error = 2.0178317058266573000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6420000000000005 " " y[1] (analytic) = 1.199100236393153 " " y[1] (numeric) = 1.1990758078727954 " " absolute error = 2.442852035766662800000E-5 " " relative error = 2.037237556648864000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6430000000000005 " " y[1] (analytic) = 1.1996994351806198 " " y[1] (numeric) = 1.1996747598529494 " " absolute error = 2.467532767047586600000E-5 " " relative error = 2.0567924720878852000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6440000000000005 " " y[1] (analytic) = 1.2002994342685849 " " y[1] (numeric) = 1.200274510083232 " " absolute error = 2.492418535293694500000E-5 " " relative error = 2.0764973007027002000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6450000000000005 " " y[1] (analytic) = 1.200900233057049 " " y[1] (numeric) = 1.2008750579502585 " " absolute error = 2.517510679056478300000E-5 " " relative error = 2.096352894068331300E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6460000000000005 " " y[1] (analytic) = 1.2015018309452137 " " y[1] (numeric) = 1.2014764028397806 " " absolute error = 2.54281054330451900000E-5 " " relative error = 2.116360106837379000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6470000000000005 " " y[1] (analytic) = 1.2021042273314806 " " y[1] (numeric) = 1.2020785441366872 " " absolute error = 2.568319479334668600000E-5 " " relative error = 2.136519796653584300E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6480000000000005 " " y[1] (analytic) = 1.2027074216134537 " " y[1] (numeric) = 1.2026814812250044 " " absolute error = 2.59403884492748200000E-5 " " relative error = 2.156832824268708800E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6490000000000005 " " y[1] (analytic) = 1.2033114131879388 " " y[1] (numeric) = 1.2032852134878957 " " absolute error = 2.619970004302807400000E-5 " " relative error = 2.1773000534929757000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6500000000000005 " " y[1] (analytic) = 1.2039162014509444 " " y[1] (numeric) = 1.2038897403076634 " " absolute error = 2.64611432809758200000E-5 " " relative error = 2.197922351164075000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6510000000000005 " " y[1] (analytic) = 1.2045217857976822 " " y[1] (numeric) = 1.204495061065748 " " absolute error = 2.672473193410241000000E-5 " " relative error = 2.2187005871715493000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6520000000000005 " " y[1] (analytic) = 1.2051281656225679 " " y[1] (numeric) = 1.2051011751427294 " " absolute error = 2.699047983845126500000E-5 " " relative error = 2.2396356344810855000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6530000000000005 " " y[1] (analytic) = 1.2057353403192217 " " y[1] (numeric) = 1.2057080819183263 " " absolute error = 2.725840089534692400000E-5 " " relative error = 2.2607283691402946000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6540000000000005 " " y[1] (analytic) = 1.206343309280469 " " y[1] (numeric) = 1.2063157807713976 " " absolute error = 2.752850907139503500000E-5 " " relative error = 2.2819796702660528000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6550000000000005 " " y[1] (analytic) = 1.2069520718983409 " " y[1] (numeric) = 1.2069242710799422 " " absolute error = 2.780081839870441000000E-5 " " relative error = 2.3033904200502517000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6560000000000005 " " y[1] (analytic) = 1.2075616275640746 " " y[1] (numeric) = 1.2075335522211 " " absolute error = 2.807534297466496300000E-5 " " relative error = 2.3249615037287405000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6570000000000005 " " y[1] (analytic) = 1.2081719756681149 " " y[1] (numeric) = 1.2081436235711518 " " absolute error = 2.83520969630579600000E-5 " " relative error = 2.3466938096606116000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6580000000000005 " " y[1] (analytic) = 1.2087831156001136 " " y[1] (numeric) = 1.2087544845055198 " " absolute error = 2.86310945938339500000E-5 " " relative error = 2.368588229297009000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6590000000000005 " " y[1] (analytic) = 1.2093950467489307 " " y[1] (numeric) = 1.2093661343987683 " " absolute error = 2.891235016244664300000E-5 " " relative error = 2.390645657113297200E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6600000000000005 " " y[1] (analytic) = 1.2100077685026354 " " y[1] (numeric) = 1.2099785726246037 " " absolute error = 2.919587803162926300000E-5 " " relative error = 2.4128669907432643000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6610000000000005 " " y[1] (analytic) = 1.2106212802485055 " " y[1] (numeric) = 1.2105917985558752 " " absolute error = 2.94816926302843300000E-5 " " relative error = 2.4352531308744707000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6620000000000005 " " y[1] (analytic) = 1.2112355813730296 " " y[1] (numeric) = 1.2112058115645752 " " absolute error = 2.976980845437182700000E-5 " " relative error = 2.4578049813088745000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6630000000000005 " " y[1] (analytic) = 1.2118506712619064 " " y[1] (numeric) = 1.2118206110218395 " " absolute error = 3.006024006690921600000E-5 " " relative error = 2.480523448949971000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6640000000000005 " " y[1] (analytic) = 1.2124665493000464 " " y[1] (numeric) = 1.2124361962979482 " " absolute error = 3.03530020981934700000E-5 " " relative error = 2.503409443808258000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6650000000000005 " " y[1] (analytic) = 1.2130832148715716 " " y[1] (numeric) = 1.2130525667623255 " " absolute error = 3.064810924602312500000E-5 " " relative error = 2.52646387900667000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6660000000000005 " " y[1] (analytic) = 1.2137006673598163 " " y[1] (numeric) = 1.2136697217835406 " " absolute error = 3.09455762756982700000E-5 " " relative error = 2.5496876707676785000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6670000000000005 " " y[1] (analytic) = 1.214318906147328 " " y[1] (numeric) = 1.214287660729308 " " absolute error = 3.124541802002056600000E-5 " " relative error = 2.5730817384004140000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6680000000000005 " " y[1] (analytic) = 1.2149379306158683 " " y[1] (numeric) = 1.2149063829664877 " " absolute error = 3.154764938062548700000E-5 " " relative error = 2.5966470043974643000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6690000000000005 " " y[1] (analytic) = 1.2155577401464124 " " y[1] (numeric) = 1.215525887861086 " " absolute error = 3.18522853264280300000E-5 " " relative error = 2.6203843942938876000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6700000000000005 " " y[1] (analytic) = 1.216178334119151 " " y[1] (numeric) = 1.2161461747782554 " " absolute error = 3.215934089562111400000E-5 " " relative error = 2.64429483681875970E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6710000000000005 " " y[1] (analytic) = 1.2167997119134903 " " y[1] (numeric) = 1.2167672430822956 " " absolute error = 3.246883119478738400000E-5 " " relative error = 2.668379263809013000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6720000000000005 " " y[1] (analytic) = 1.2174218729080521 " " y[1] (numeric) = 1.2173890921366537 " " absolute error = 3.278077139845514400000E-5 " " relative error = 2.692638610159994000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6730000000000005 " " y[1] (analytic) = 1.218044816480676 " " y[1] (numeric) = 1.2180117213039243 " " absolute error = 3.30951767517628800000E-5 " " relative error = 2.7170738140313677000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6740000000000005 " " y[1] (analytic) = 1.2186685420084182 " " y[1] (numeric) = 1.2186351299458504 " " absolute error = 3.34120625677947200000E-5 " " relative error = 2.7416858166150904000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6750000000000005 " " y[1] (analytic) = 1.2192930488675535 " " y[1] (numeric) = 1.219259317423324 " " absolute error = 3.373144422957885500000E-5 " " relative error = 2.7664755622864995000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6760000000000005 " " y[1] (analytic) = 1.2199183364335746 " " y[1] (numeric) = 1.2198842830963852 " " absolute error = 3.405333718942138400000E-5 " " relative error = 2.7914439985365047000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6770000000000005 " " y[1] (analytic) = 1.2205444040811944 " " y[1] (numeric) = 1.2205100263242246 " " absolute error = 3.437775696979450400000E-5 " " relative error = 2.8165920760313107000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6780000000000005 " " y[1] (analytic) = 1.221171251184345 " " y[1] (numeric) = 1.2211365464651822 " " absolute error = 3.47047191628924170000E-5 " " relative error = 2.841920748562846000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6790000000000005 " " y[1] (analytic) = 1.2217988771161798 " " y[1] (numeric) = 1.2217638428767486 " " absolute error = 3.503423943129746500000E-5 " " relative error = 2.867430973090188000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6800000000000005 " " y[1] (analytic) = 1.2224272812490724 " " y[1] (numeric) = 1.2223919149155646 " " absolute error = 3.536633350775808500000E-5 " " relative error = 2.893123709708186000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6810000000000005 " " y[1] (analytic) = 1.223056462954619 " " y[1] (numeric) = 1.2230207619374232 " " absolute error = 3.570101719585494500000E-5 " " relative error = 2.9189999216887846000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6820000000000005 " " y[1] (analytic) = 1.223686421603638 " " y[1] (numeric) = 1.2236503832972678 " " absolute error = 3.60383063702229830000E-5 " " relative error = 2.9450605754859055000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6830000000000005 " " y[1] (analytic) = 1.2243171565661706 " " y[1] (numeric) = 1.2242807783491951 " " absolute error = 3.63782169754411900000E-5 " " relative error = 2.971306640631484000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6840000000000005 " " y[1] (analytic) = 1.224948667211482 " " y[1] (numeric) = 1.2249119464464533 " " absolute error = 3.672076502869714400000E-5 " " relative error = 2.9977390899399600000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6850000000000005 " " y[1] (analytic) = 1.2255809529080617 " " y[1] (numeric) = 1.2255438869414441 " " absolute error = 3.70659666175665600000E-5 " " relative error = 3.0243588993135323000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6860000000000005 " " y[1] (analytic) = 1.2262140130236237 " " y[1] (numeric) = 1.2261765991857225 " " absolute error = 3.741383790112351400000E-5 " " relative error = 3.0511670478196300000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6870000000000005 " " y[1] (analytic) = 1.2268478469251085 " " y[1] (numeric) = 1.226810082529997 " " absolute error = 3.776439511149476400000E-5 " " relative error = 3.078164517804305000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6880000000000005 " " y[1] (analytic) = 1.2274824539786817 " " y[1] (numeric) = 1.2274443363241305 " " absolute error = 3.8117654551195200000E-5 " " relative error = 3.1053522946615747000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6890000000000005 " " y[1] (analytic) = 1.2281178335497365 " " y[1] (numeric) = 1.2280793599171405 " " absolute error = 3.84736325960144400000E-5 " " relative error = 3.1327313670554500000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6900000000000005 " " y[1] (analytic) = 1.2287539850028937 " " y[1] (numeric) = 1.2287151526571995 " " absolute error = 3.883234569412863400000E-5 " " relative error = 3.1603027268340605000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6910000000000005 " " y[1] (analytic) = 1.2293909077020015 " " y[1] (numeric) = 1.229351713891636 " " absolute error = 3.919381036543434500000E-5 " " relative error = 3.188067368962088600E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6920000000000005 " " y[1] (analytic) = 1.2300286010101376 " " y[1] (numeric) = 1.229989042966934 " " absolute error = 3.955804320354694400000E-5 " " relative error = 3.216026291670019400E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6930000000000005 " " y[1] (analytic) = 1.2306670642896083 " " y[1] (numeric) = 1.230627139228734 " " absolute error = 3.9925060874246300000E-5 " " relative error = 3.244180496314224000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6940000000000005 " " y[1] (analytic) = 1.2313062969019506 " " y[1] (numeric) = 1.2312660020218331 " " absolute error = 4.029488011747517400000E-5 " " relative error = 3.272530987525996000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6950000000000005 " " y[1] (analytic) = 1.231946298207932 " " y[1] (numeric) = 1.231905630690186 " " absolute error = 4.06675177457849200000E-5 " " relative error = 3.301078773071724000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6960000000000005 " " y[1] (analytic) = 1.232587067567551 " " y[1] (numeric) = 1.2325460245769053 " " absolute error = 4.10429906456677430000E-5 " " relative error = 3.329824863947667400E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6970000000000005 " " y[1] (analytic) = 1.2332286043400384 " " y[1] (numeric) = 1.2331871830242611 " " absolute error = 4.142131577733465500000E-5 " " relative error = 3.358770274348384000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6980000000000005 " " y[1] (analytic) = 1.233870907883858 " " y[1] (numeric) = 1.2338291053736825 " " absolute error = 4.18025101753816130000E-5 " " relative error = 3.3879160217072246000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6990000000000005 " " y[1] (analytic) = 1.2345139775567056 " " y[1] (numeric) = 1.2344717909657574 " " absolute error = 4.21865909481233800000E-5 " " relative error = 3.417263126628763000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7000000000000005 " " y[1] (analytic) = 1.2351578127155118 " " y[1] (numeric) = 1.2351152391402334 " " absolute error = 4.25735752784817100000E-5 " " relative error = 3.4468126129472565000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7010000000000005 " " y[1] (analytic) = 1.2358024127164418 " " y[1] (numeric) = 1.2357594492360178 " " absolute error = 4.296348042398534500000E-5 " " relative error = 3.4765655077130386000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7020000000000005 " " y[1] (analytic) = 1.2364477769148952 " " y[1] (numeric) = 1.2364044205911784 " " absolute error = 4.33563237167700070000E-5 " " relative error = 3.5065228411789390000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7030000000000005 " " y[1] (analytic) = 1.237093904665508 " " y[1] (numeric) = 1.2370501525429438 " " absolute error = 4.375212256424454400000E-5 " " relative error = 3.5366856468405660000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7040000000000005 " " y[1] (analytic) = 1.2377407953221526 " " y[1] (numeric) = 1.2376966444277036 " " absolute error = 4.41508944490909270000E-5 " " relative error = 3.567054961422643000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7050000000000005 " " y[1] (analytic) = 1.2383884482379386 " " y[1] (numeric) = 1.238343895581009 " " absolute error = 4.45526569294862900000E-5 " " relative error = 3.5976318248832806000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7060000000000005 " " y[1] (analytic) = 1.2390368627652126 " " y[1] (numeric) = 1.238991905337574 " " absolute error = 4.49574276386588400000E-5 " " relative error = 3.6284172803644754000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7070000000000005 " " y[1] (analytic) = 1.2396860382555608 " " y[1] (numeric) = 1.2396406730312741 " " absolute error = 4.53652242866642300000E-5 " " relative error = 3.6594123743218450000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7080000000000005 " " y[1] (analytic) = 1.240335974059807 " " y[1] (numeric) = 1.2402901979951488 " " absolute error = 4.57760646581650830000E-5 " " relative error = 3.6906181563317164000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7090000000000005 " " y[1] (analytic) = 1.240986669528016 " " y[1] (numeric) = 1.2409404795614003 " " absolute error = 4.61899666157616900000E-5 " " relative error = 3.7220356793461046000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7100000000000005 " " y[1] (analytic) = 1.241638124009492 " " y[1] (numeric) = 1.241591517061395 " " absolute error = 4.660694809710541600000E-5 " " relative error = 3.753665999446157000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7110000000000005 " " y[1] (analytic) = 1.2422903368527811 " " y[1] (numeric) = 1.2422433098256633 " " absolute error = 4.70270271177852800000E-5 " " relative error = 3.7855101760610627000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7120000000000005 " " y[1] (analytic) = 1.2429433074056702 " " y[1] (numeric) = 1.242895857183901 " " absolute error = 4.745022176910751500000E-5 " " relative error = 3.817569271775384000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7130000000000005 " " y[1] (analytic) = 1.2435970350151886 " " y[1] (numeric) = 1.2435491584649687 " " absolute error = 4.787655021987191600000E-5 " " relative error = 3.8498443524583653000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7140000000000005 " " y[1] (analytic) = 1.244251519027609 " " y[1] (numeric) = 1.2442032129968927 " " absolute error = 4.83060307163718500000E-5 " " relative error = 3.8823364872500490000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7150000000000005 " " y[1] (analytic) = 1.2449067587884475 " " y[1] (numeric) = 1.2448580201068657 " " absolute error = 4.873868158172811600000E-5 " " relative error = 3.915046748493916000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7160000000000005 " " y[1] (analytic) = 1.2455627536424643 " " y[1] (numeric) = 1.2455135791212464 " " absolute error = 4.917452121788734600000E-5 " " relative error = 3.947976211883642600E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7170000000000005 " " y[1] (analytic) = 1.2462195029336645 " " y[1] (numeric) = 1.246169889365561 " " absolute error = 4.96135681034015600000E-5 " " relative error = 3.981125956270840600E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7180000000000005 " " y[1] (analytic) = 1.246877006005299 " " y[1] (numeric) = 1.246826950164503 " " absolute error = 5.005584079587067000000E-5 " " relative error = 4.0144970638473654000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7190000000000005 " " y[1] (analytic) = 1.2475352621998645 " " y[1] (numeric) = 1.247484760841934 " " absolute error = 5.05013579306101700000E-5 " " relative error = 4.048090620024451500E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7200000000000005 " " y[1] (analytic) = 1.2481942708591054 " " y[1] (numeric) = 1.2481433207208834 " " absolute error = 5.095013822198347000000E-5 " " relative error = 4.081907713525682000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7210000000000005 " " y[1] (analytic) = 1.2488540313240126 " " y[1] (numeric) = 1.24880262912355 " " absolute error = 5.14022004627356900000E-5 " " relative error = 4.115949436319631400E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7220000000000005 " " y[1] (analytic) = 1.249514542934826 " " y[1] (numeric) = 1.2494626853713016 " " absolute error = 5.18575635244378200000E-5 " " relative error = 4.15021688364156000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7230000000000005 " " y[1] (analytic) = 1.2501758050310339 " " y[1] (numeric) = 1.250123488784676 " " absolute error = 5.23162463579307500000E-5 " " relative error = 4.18471115401502000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7240000000000005 " " y[1] (analytic) = 1.2508378169513743 " " y[1] (numeric) = 1.2507850386833805 " " absolute error = 5.27782679937693900000E-5 " " relative error = 4.219433349273379300E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7250000000000005 " " y[1] (analytic) = 1.2515005780338353 " " y[1] (numeric) = 1.251447334386294 " " absolute error = 5.32436475413344800000E-5 " " relative error = 4.254384574474802700E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7260000000000005 " " y[1] (analytic) = 1.2521640876156557 " " y[1] (numeric) = 1.2521103752114657 " " absolute error = 5.37124041899428300000E-5 " " relative error = 4.289565937977095000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7270000000000005 " " y[1] (analytic) = 1.2528283450333264 " " y[1] (numeric) = 1.252774160476117 " " absolute error = 5.41845572095134300000E-5 " " relative error = 4.324978551476824600E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7280000000000005 " " y[1] (analytic) = 1.2534933496225897 " " y[1] (numeric) = 1.2534386894966403 " " absolute error = 5.46601259494572400000E-5 " " relative error = 4.360623529906615400E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7290000000000005 " " y[1] (analytic) = 1.2541591007184412 " " y[1] (numeric) = 1.2541039615886014 " " absolute error = 5.513912983978742000000E-5 " " relative error = 4.39650199150978000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7300000000000005 " " y[1] (analytic) = 1.2548255976551301 " " y[1] (numeric) = 1.2547699760667386 " " absolute error = 5.56215883915633900000E-5 " " relative error = 4.432615057861622000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7310000000000005 " " y[1] (analytic) = 1.2554928397661589 " " y[1] (numeric) = 1.2554367322449635 " " absolute error = 5.610752119533657000000E-5 " " relative error = 4.468963853731483500E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7320000000000005 " " y[1] (analytic) = 1.2561608263842858 " " y[1] (numeric) = 1.2561042294363618 " " absolute error = 5.65969479240369100000E-5 " " relative error = 4.505549507298735000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7330000000000005 " " y[1] (analytic) = 1.2568295568415246 " " y[1] (numeric) = 1.2567724669531932 " " absolute error = 5.70898883314185900000E-5 " " relative error = 4.542373150014734600E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7340000000000005 " " y[1] (analytic) = 1.2574990304691447 " " y[1] (numeric) = 1.2574414441068922 " " absolute error = 5.75863622525041300000E-5 " " relative error = 4.579435916624123000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7350000000000005 " " y[1] (analytic) = 1.2581692465976722 " " y[1] (numeric) = 1.2581111602080686 " " absolute error = 5.808638960358437000000E-5 " " relative error = 4.6167389451507385000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7360000000000005 " " y[1] (analytic) = 1.2588402045568914 " " y[1] (numeric) = 1.2587816145665076 " " absolute error = 5.85899903837727700000E-5 " " relative error = 4.654283377007036300E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7370000000000005 " " y[1] (analytic) = 1.2595119036758442 " " y[1] (numeric) = 1.2594528064911708 " " absolute error = 5.90971846734511500000E-5 " " relative error = 4.692070356856331600E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7380000000000005 " " y[1] (analytic) = 1.2601843432828317 " " y[1] (numeric) = 1.2601247352901963 " " absolute error = 5.96079926353798600000E-5 " " relative error = 4.7301010326869003000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7390000000000005 " " y[1] (analytic) = 1.2608575227054142 " " y[1] (numeric) = 1.260797400270899 " " absolute error = 6.012243451514188000000E-5 " " relative error = 4.768376555833012700E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7400000000000005 " " y[1] (analytic) = 1.2615314412704124 " " y[1] (numeric) = 1.2614708007397717 " " absolute error = 6.06405306406987400000E-5 " " relative error = 4.8068980809254597000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7410000000000005 " " y[1] (analytic) = 1.2622060983039078 " " y[1] (numeric) = 1.262144936002485 " " absolute error = 6.11623014228346300000E-5 " " relative error = 4.8456667659126035000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7420000000000005 " " y[1] (analytic) = 1.2628814931312435 " " y[1] (numeric) = 1.2628198053638877 " " absolute error = 6.16877673558224900000E-5 " " relative error = 4.884683772098928300E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7430000000000005 " " y[1] (analytic) = 1.2635576250770246 " " y[1] (numeric) = 1.2634954081280076 " " absolute error = 6.22169490169799400000E-5 " " relative error = 4.923950264095576000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7440000000000005 " " y[1] (analytic) = 1.2642344934651193 " " y[1] (numeric) = 1.264171743598052 " " absolute error = 6.27498670673354300000E-5 " " relative error = 4.96346740985885940E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7450000000000006 " " y[1] (analytic) = 1.2649120976186592 " " y[1] (numeric) = 1.2648488110764078 " " absolute error = 6.32865422514061700000E-5 " " relative error = 5.00323638065841000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7460000000000006 " " y[1] (analytic) = 1.2655904368600401 " " y[1] (numeric) = 1.2655266098646423 " " absolute error = 6.3826995397864300000E-5 " " relative error = 5.043258351115594000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7470000000000006 " " y[1] (analytic) = 1.266269510510923 " " y[1] (numeric) = 1.2662051392635036 " " absolute error = 6.43712474193147700000E-5 " " relative error = 5.083534499171651000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7480000000000006 " " y[1] (analytic) = 1.2669493178922342 " " y[1] (numeric) = 1.266884398572921 " " absolute error = 6.49193193131836200000E-5 " " relative error = 5.124066006143555000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7490000000000006 " " y[1] (analytic) = 1.2676298583241665 " " y[1] (numeric) = 1.2675643870920053 " " absolute error = 6.54712321612738200000E-5 " " relative error = 5.1648540566745690000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7500000000000006 " " y[1] (analytic) = 1.2683111311261794 " " y[1] (numeric) = 1.2682451041190492 " " absolute error = 6.60270071302093700000E-5 " " relative error = 5.205899838754990000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7510000000000006 " " y[1] (analytic) = 1.2689931356170003 " " y[1] (numeric) = 1.268926548951529 " " absolute error = 6.65866654714353200000E-5 " " relative error = 5.2472045437078010E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7520000000000006 " " y[1] (analytic) = 1.2696758711146248 " " y[1] (numeric) = 1.2696087208861029 " " absolute error = 6.7150228521883900000E-5 " " relative error = 5.288769366226829000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7530000000000006 " " y[1] (analytic) = 1.270359336936317 " " y[1] (numeric) = 1.2702916192186136 " " absolute error = 6.77177177035304100000E-5 " " relative error = 5.330595504327378000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7540000000000006 " " y[1] (analytic) = 1.2710435323986116 " " y[1] (numeric) = 1.270975243244087 " " absolute error = 6.82891545245034600000E-5 " " relative error = 5.372684159419279000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7550000000000006 " " y[1] (analytic) = 1.2717284568173128 " " y[1] (numeric) = 1.2716595922567342 " " absolute error = 6.88645605786408800000E-5 " " relative error = 5.415036536257477000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7560000000000006 " " y[1] (analytic) = 1.2724141095074968 " " y[1] (numeric) = 1.2723446655499508 " " absolute error = 6.9443957545933800000E-5 " " relative error = 5.457653842962565000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7570000000000006 " " y[1] (analytic) = 1.2731004897835105 " " y[1] (numeric) = 1.273030462416318 " " absolute error = 7.00273671925266700000E-5 " " relative error = 5.500537291006364000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7580000000000006 " " y[1] (analytic) = 1.2737875969589743 " " y[1] (numeric) = 1.2737169821476029 " " absolute error = 7.06148113713833700000E-5 " " relative error = 5.5436880952498170000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7590000000000006 " " y[1] (analytic) = 1.27447543034678 " " y[1] (numeric) = 1.2744042240347588 " " absolute error = 7.120631202117700000E-5 " " relative error = 5.587107473841377000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7600000000000006 " " y[1] (analytic) = 1.2751639892590951 " " y[1] (numeric) = 1.2750921873679262 " " absolute error = 7.18018911689544100000E-5 " " relative error = 5.6307966484117280000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7610000000000006 " " y[1] (analytic) = 1.2758532730073608 " " y[1] (numeric) = 1.2757808714364325 " " absolute error = 7.24015709283598600000E-5 " " relative error = 5.67475684391979000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7620000000000006 " " y[1] (analytic) = 1.2765432809022927 " " y[1] (numeric) = 1.276470275528793 " " absolute error = 7.30053734996349800000E-5 " " relative error = 5.7189892886383730000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7630000000000006 " " y[1] (analytic) = 1.2772340122538837 " " y[1] (numeric) = 1.2771603989327116 " " absolute error = 7.36133211720613200000E-5 " " relative error = 5.7634952143310710000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7640000000000006 " " y[1] (analytic) = 1.2779254663714021 " " y[1] (numeric) = 1.2778512409350806 " " absolute error = 7.42254363215177900000E-5 " " relative error = 5.808275856046344000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7650000000000006 " " y[1] (analytic) = 1.2786176425633942 " " y[1] (numeric) = 1.2785428008219817 " " absolute error = 7.48417414124791200000E-5 " " relative error = 5.853332452259546000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7660000000000006 " " y[1] (analytic) = 1.2793105401376834 " " y[1] (numeric) = 1.279235077878686 " " absolute error = 7.54622589973497100000E-5 " " relative error = 5.898666244806223000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7670000000000006 " " y[1] (analytic) = 1.2800041584013724 " " y[1] (numeric) = 1.2799280713896553 " " absolute error = 7.60870117171297300000E-5 " " relative error = 5.944278478919678000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7680000000000006 " " y[1] (analytic) = 1.2806984966608432 " " y[1] (numeric) = 1.2806217806385412 " " absolute error = 7.6716022302081300000E-5 " " relative error = 5.99017040326841000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7690000000000006 " " y[1] (analytic) = 1.2813935542217572 " " y[1] (numeric) = 1.2813162049081872 " " absolute error = 7.73493135699521200000E-5 " " relative error = 6.036343269802814000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7700000000000006 " " y[1] (analytic) = 1.282089330389057 " " y[1] (numeric) = 1.2820113434806284 " " absolute error = 7.79869084286399800000E-5 " " relative error = 6.082798333948729000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7710000000000006 " " y[1] (analytic) = 1.2827858244669668 " " y[1] (numeric) = 1.2827071956370915 " " absolute error = 7.86288298753046200000E-5 " " relative error = 6.129536854523403000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7720000000000006 " " y[1] (analytic) = 1.2834830357589921 " " y[1] (numeric) = 1.2834037606579958 " " absolute error = 7.9275100996367700000E-5 " " relative error = 6.176560093720919000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7730000000000006 " " y[1] (analytic) = 1.2841809635679222 " " y[1] (numeric) = 1.284101037822954 " " absolute error = 7.99257449681789500000E-5 " " relative error = 6.223869317149519000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7740000000000006 " " y[1] (analytic) = 1.284879607195829 " " y[1] (numeric) = 1.284799026410772 " " absolute error = 8.05807850570161600000E-5 " " relative error = 6.271465793816962000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7750000000000006 " " y[1] (analytic) = 1.285578965944069 " " y[1] (numeric) = 1.28549772569945 " " absolute error = 8.12402446190851900000E-5 " " relative error = 6.319350796115908000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7760000000000006 " " y[1] (analytic) = 1.2862790391132837 " " y[1] (numeric) = 1.2861971349661825 " " absolute error = 8.1904147101186100000E-5 " " relative error = 6.36752559986113000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7770000000000006 " " y[1] (analytic) = 1.2869798260033996 " " y[1] (numeric) = 1.2868972534873588 " " absolute error = 8.25725160407131400000E-5 " " relative error = 6.41599148427483000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7780000000000006 " " y[1] (analytic) = 1.28768132591363 " " y[1] (numeric) = 1.2875980805385638 " " absolute error = 8.32453750660988600000E-5 " " relative error = 6.4647497320064780000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7790000000000006 " " y[1] (analytic) = 1.2883835381424753 " " y[1] (numeric) = 1.2882996153945785 " " absolute error = 8.39227478968140900000E-5 " " relative error = 6.513801629118109000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7800000000000006 " " y[1] (analytic) = 1.289086461987723 " " y[1] (numeric) = 1.28900185732938 " " absolute error = 8.46046583429238600000E-5 " " relative error = 6.563148465035205000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7810000000000006 " " y[1] (analytic) = 1.2897900967464495 " " y[1] (numeric) = 1.2897048056161426 " " absolute error = 8.52911303068637500000E-5 " " relative error = 6.612791532669870000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7820000000000006 " " y[1] (analytic) = 1.2904944417150204 " " y[1] (numeric) = 1.2904084595272378 " " absolute error = 8.59821877825517300000E-5 " " relative error = 6.662732128337145000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7830000000000006 " " y[1] (analytic) = 1.29119949618909 " " y[1] (numeric) = 1.2911128183342349 " " absolute error = 8.6677854855166100000E-5 " " relative error = 6.712971551723138000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7840000000000006 " " y[1] (analytic) = 1.2919052594636047 " " y[1] (numeric) = 1.2918178813079015 " " absolute error = 8.73781557031438900000E-5 " " relative error = 6.763511106025146000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7850000000000006 " " y[1] (analytic) = 1.2926117308328007 " " y[1] (numeric) = 1.2925236477182045 " " absolute error = 8.80831145961824500000E-5 " " relative error = 6.814352097782099000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7860000000000006 " " y[1] (analytic) = 1.293318909590207 " " y[1] (numeric) = 1.2932301168343094 " " absolute error = 8.87927558974599400000E-5 " " relative error = 6.865495837031739000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7870000000000006 " " y[1] (analytic) = 1.2940267950286448 " " y[1] (numeric) = 1.293937287924582 " " absolute error = 8.95071040627470900000E-5 " " relative error = 6.916943637227060000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7880000000000006 " " y[1] (analytic) = 1.2947353864402287 " " y[1] (numeric) = 1.2946451602565885 " " absolute error = 9.0226183640185200000E-5 " " relative error = 6.968696815204446000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7890000000000006 " " y[1] (analytic) = 1.2954446831163673 " " y[1] (numeric) = 1.2953537330970954 " " absolute error = 9.09500192718404300000E-5 " " relative error = 7.020756691289037000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7900000000000006 " " y[1] (analytic) = 1.2961546843477643 " " y[1] (numeric) = 1.296063005712071 " " absolute error = 9.16786356932597400000E-5 " " relative error = 7.073124589245549000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7910000000000006 " " y[1] (analytic) = 1.2968653894244182 " " y[1] (numeric) = 1.2967729773666852 " " absolute error = 9.24120577330267400000E-5 " " relative error = 7.125801836229245000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7920000000000006 " " y[1] (analytic) = 1.297576797635624 " " y[1] (numeric) = 1.2974836473253097 " " absolute error = 9.31503103143160900000E-5 " " relative error = 7.17878976289108000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7930000000000006 " " y[1] (analytic) = 1.2982889082699738 " " y[1] (numeric) = 1.2981950148515196 " " absolute error = 9.38934184542272700000E-5 " " relative error = 7.232089703311440000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7940000000000006 " " y[1] (analytic) = 1.2990017206153568 " " y[1] (numeric) = 1.2989070792080928 " " absolute error = 9.46414072640067200000E-5 " " relative error = 7.2857029950024730000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7950000000000006 " " y[1] (analytic) = 1.2997152339589606 " " y[1] (numeric) = 1.2996198396570111 " " absolute error = 9.53943019494918300000E-5 " " relative error = 7.339630978927494000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7960000000000006 " " y[1] (analytic) = 1.3004294475872724 " " y[1] (numeric) = 1.3003332954594604 " " absolute error = 9.61521278119992200000E-5 " " relative error = 7.393874999554438000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7970000000000006 " " y[1] (analytic) = 1.3011443607860782 " " y[1] (numeric) = 1.3010474458758317 " " absolute error = 9.6914910246548300000E-5 " " relative error = 7.448436404704376000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7980000000000006 " " y[1] (analytic) = 1.3018599728404647 " " y[1] (numeric) = 1.3017622901657204 " " absolute error = 9.76826747443038100000E-5 " " relative error = 7.503316545724557000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7990000000000006 " " y[1] (analytic) = 1.3025762830348204 " " y[1] (numeric) = 1.3024778275879285 " " absolute error = 9.84554468919096600000E-5 " " relative error = 7.558516777422222000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8000000000000006 " " y[1] (analytic) = 1.3032932906528352 " " y[1] (numeric) = 1.3031940574004637 " " absolute error = 9.92332523714889400000E-5 " " relative error = 7.6140384580497480000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8010000000000006 " " y[1] (analytic) = 1.3040109949775007 " " y[1] (numeric) = 1.3039109788605405 " " absolute error = 1.00016116960199850000E-4 " " relative error = 7.669882949255771000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8020000000000006 " " y[1] (analytic) = 1.3047293952911136 " " y[1] (numeric) = 1.3046285912245805 " " absolute error = 1.00804066533122240000E-4 " " relative error = 7.726051616291718000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8030000000000006 " " y[1] (analytic) = 1.3054484908752733 " " y[1] (numeric) = 1.3053468937482129 " " absolute error = 1.01597127060371050000E-4 " " relative error = 7.782545827775442000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8040000000000006 " " y[1] (analytic) = 1.3061682810108841 " " y[1] (numeric) = 1.3060658856862752 " " absolute error = 1.02395324608872680000E-4 " " relative error = 7.839366955812598000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8050000000000006 " " y[1] (analytic) = 1.3068887649781562 " " y[1] (numeric) = 1.3067855662928138 " " absolute error = 1.03198685342364980000E-4 " " relative error = 7.896516375981691000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8060000000000006 " " y[1] (analytic) = 1.3076099420566054 " " y[1] (numeric) = 1.307505934821084 " " absolute error = 1.04007235521397230000E-4 " " relative error = 7.953995467319172000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8070000000000006 " " y[1] (analytic) = 1.308331811525055 " " y[1] (numeric) = 1.3082269905235506 " " absolute error = 1.0482100150444040000E-4 " " relative error = 8.01180561238941000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8080000000000006 " " y[1] (analytic) = 1.3090543726616355 " " y[1] (numeric) = 1.308948732651889 " " absolute error = 1.05640009746554850000E-4 " " relative error = 8.069948197167873000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8090000000000006 " " y[1] (analytic) = 1.3097776247437856 " " y[1] (numeric) = 1.3096711604569846 " " absolute error = 1.06464286800944660000E-4 " " relative error = 8.12842461114503100E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8100000000000006 " " y[1] (analytic) = 1.3105015670482534 " " y[1] (numeric) = 1.3103942731889349 " " absolute error = 1.07293859318513540000E-4 " " relative error = 8.187236247277445000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8110000000000006 " " y[1] (analytic) = 1.311226198851097 " " y[1] (numeric) = 1.3111180700970482 " " absolute error = 1.081287540487530000E-4 " " relative error = 8.246384502040606000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8120000000000006 " " y[1] (analytic) = 1.311951519427684 " " y[1] (numeric) = 1.3118425504298452 " " absolute error = 1.08968997838854160000E-4 " " relative error = 8.30587077534617900E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8130000000000006 " " y[1] (analytic) = 1.3126775280526943 " " y[1] (numeric) = 1.3125677134350597 " " absolute error = 1.09814617634595990000E-4 " " relative error = 8.365696470594852000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8140000000000006 " " y[1] (analytic) = 1.3134042240001191 " " y[1] (numeric) = 1.3132935583596381 " " absolute error = 1.10665640481011350000E-4 " " relative error = 8.425862994712078000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8150000000000006 " " y[1] (analytic) = 1.314131606543263 " " y[1] (numeric) = 1.3140200844497407 " " absolute error = 1.11522093522387070000E-4 " " relative error = 8.486371758133009000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8160000000000006 " " y[1] (analytic) = 1.3148596749547432 " " y[1] (numeric) = 1.314747290950742 " " absolute error = 1.12384004001153670000E-4 " " relative error = 8.547224174703043000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8170000000000006 " " y[1] (analytic) = 1.3155884285064912 " " y[1] (numeric) = 1.3154751771072313 " " absolute error = 1.13251399259883810000E-4 " " relative error = 8.60842166181496000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8180000000000006 " " y[1] (analytic) = 1.316317866469754 " " y[1] (numeric) = 1.3162037421630126 " " absolute error = 1.14124306741292260000E-4 " " relative error = 8.669965640393789000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8190000000000006 " " y[1] (analytic) = 1.317047988115093 " " y[1] (numeric) = 1.316932985361106 " " absolute error = 1.15002753986903630000E-4 " " relative error = 8.731857534780568000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8200000000000006 " " y[1] (analytic) = 1.317778792712387 " " y[1] (numeric) = 1.3176629059437477 " " absolute error = 1.15886768639272830000E-4 " " relative error = 8.794098772886066000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8210000000000006 " " y[1] (analytic) = 1.3185102795308312 " " y[1] (numeric) = 1.3183935031523903 " " absolute error = 1.16776378440874850000E-4 " " relative error = 8.856690786091381000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8220000000000006 " " y[1] (analytic) = 1.3192424478389395 " " y[1] (numeric) = 1.3191247762277043 " " absolute error = 1.17671611235214970000E-4 " " relative error = 8.91963500931718000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8230000000000006 " " y[1] (analytic) = 1.319975296904543 " " y[1] (numeric) = 1.3198567244095771 " " absolute error = 1.18572494965940580000E-4 " " relative error = 8.982932880941288000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8240000000000006 " " y[1] (analytic) = 1.3207088259947932 " " y[1] (numeric) = 1.3205893469371146 " " absolute error = 1.19479057678617550000E-4 " " relative error = 9.046585842918308000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8250000000000006 " " y[1] (analytic) = 1.3214430343761605 " " y[1] (numeric) = 1.3213226430486416 " " absolute error = 1.20391327518953870000E-4 " " relative error = 9.110595340629978000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8260000000000006 " " y[1] (analytic) = 1.3221779213144371 " " y[1] (numeric) = 1.3220566119817019 " " absolute error = 1.21309332735242140000E-4 " " relative error = 9.174962823055086000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8270000000000006 " " y[1] (analytic) = 1.3229134860747358 " " y[1] (numeric) = 1.3227912529730592 " " absolute error = 1.2223310167658319000E-4 " " relative error = 9.239689742619936000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8280000000000006 " " y[1] (analytic) = 1.323649727921492 " " y[1] (numeric) = 1.3235265652586974 " " absolute error = 1.23162662794662480000E-4 " " relative error = 9.304777555317676000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8290000000000006 " " y[1] (analytic) = 1.324386646118464 " " y[1] (numeric) = 1.3242625480738208 " " absolute error = 1.24098044643083940000E-4 " " relative error = 9.370227720642813000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8300000000000006 " " y[1] (analytic) = 1.3251242399287335 " " y[1] (numeric) = 1.3249992006528555 " " absolute error = 1.2503927587803610000E-4 " " relative error = 9.43604170162647000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8310000000000006 " " y[1] (analytic) = 1.3258625086147067 " " y[1] (numeric) = 1.325736522229449 " " absolute error = 1.25986385257625950000E-4 " " relative error = 9.502220964771044000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8320000000000006 " " y[1] (analytic) = 1.3266014514381153 " " y[1] (numeric) = 1.3264745120364714 " " absolute error = 1.2693940164387740000E-4 " " relative error = 9.568766980185911000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8330000000000006 " " y[1] (analytic) = 1.3273410676600161 " " y[1] (numeric) = 1.3272131693060152 " " absolute error = 1.27898354000954840000E-4 " " relative error = 9.635681221438301000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8340000000000006 " " y[1] (analytic) = 1.3280813565407934 " " y[1] (numeric) = 1.3279524932693962 " " absolute error = 1.28863271397161580000E-4 " " relative error = 9.702965165688885000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8350000000000006 " " y[1] (analytic) = 1.3288223173401583 " " y[1] (numeric) = 1.3286924831571545 " " absolute error = 1.29834183003829650000E-4 " " relative error = 9.770620293592953000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8360000000000006 " " y[1] (analytic) = 1.3295639493171496 " " y[1] (numeric) = 1.329433138199054 " " absolute error = 1.3081111809554180000E-4 " " relative error = 9.838648089302139000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8370000000000006 " " y[1] (analytic) = 1.330306251730136 " " y[1] (numeric) = 1.330174457624084 " " absolute error = 1.31794106052129930000E-4 " " relative error = 9.907050040599635000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8380000000000006 " " y[1] (analytic) = 1.3310492238368146 " " y[1] (numeric) = 1.3309164406604586 " " absolute error = 1.32783176356010560000E-4 " " relative error = 9.975827638684657000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8390000000000006 " " y[1] (analytic) = 1.3317928648942137 " " y[1] (numeric) = 1.331659086535618 " " absolute error = 1.3377835859573750000E-4 " " relative error = 1.00449823784244190E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8400000000000006 " " y[1] (analytic) = 1.3325371741586922 " " y[1] (numeric) = 1.3324023944762287 " " absolute error = 1.34779682463559420000E-4 " " relative error = 1.011451575815538700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8410000000000006 " " y[1] (analytic) = 1.3332821508859412 " " y[1] (numeric) = 1.3331463637081842 " " absolute error = 1.35787177756974130000E-4 " " relative error = 1.018442927978493300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8420000000000006 " " y[1] (analytic) = 1.3340277943309835 " " y[1] (numeric) = 1.3338909934566054 " " absolute error = 1.36800874378062430000E-4 " " relative error = 1.025472444872621600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8430000000000006 " " y[1] (analytic) = 1.334774103748176 " " y[1] (numeric) = 1.3346362829458411 " " absolute error = 1.37820802334820400000E-4 " " relative error = 1.032540277398296500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8440000000000006 " " y[1] (analytic) = 1.3355210783912095 " " y[1] (numeric) = 1.3353822313994688 " " absolute error = 1.38846991740715350000E-4 " " relative error = 1.039646576810099400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8450000000000006 " " y[1] (analytic) = 1.336268717513109 " " y[1] (numeric) = 1.3361288380402943 " " absolute error = 1.3987947281468570000E-4 " " relative error = 1.046791494715309500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8460000000000006 " " y[1] (analytic) = 1.3370170203662357 " " y[1] (numeric) = 1.3368761020903537 " " absolute error = 1.40918275882029320000E-4 " " relative error = 1.053975183079038100E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8470000000000006 " " y[1] (analytic) = 1.3377659862022868 " " y[1] (numeric) = 1.3376240227709124 " " absolute error = 1.41963431374403370000E-4 " " relative error = 1.06119779422270900E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8480000000000006 " " y[1] (analytic) = 1.3385156142722965 " " y[1] (numeric) = 1.3383725993024669 " " absolute error = 1.43014969829602380000E-4 " " relative error = 1.068459480820883300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8490000000000006 " " y[1] (analytic) = 1.3392659038266368 " " y[1] (numeric) = 1.3391218309047443 " " absolute error = 1.44072921892446360000E-4 " " relative error = 1.075760395906383600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8500000000000006 " " y[1] (analytic) = 1.3400168541150184 " " y[1] (numeric) = 1.3398717167967036 " " absolute error = 1.45137318314780830000E-4 " " relative error = 1.083100692868771700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8510000000000006 " " y[1] (analytic) = 1.3407684643864908 " " y[1] (numeric) = 1.3406222561965355 " " absolute error = 1.46208189955254750000E-4 " " relative error = 1.090480525451176500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8520000000000006 " " y[1] (analytic) = 1.3415207338894437 " " y[1] (numeric) = 1.3413734483216637 " " absolute error = 1.4728556777998670000E-4 " " relative error = 1.097900047753750700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8530000000000006 " " y[1] (analytic) = 1.3422736618716078 " " y[1] (numeric) = 1.3421252923887448 " " absolute error = 1.48369482863008880000E-4 " " relative error = 1.10535941423546200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8540000000000006 " " y[1] (analytic) = 1.3430272475800555 " " y[1] (numeric) = 1.342877787613669 " " absolute error = 1.49459966386489280000E-4 " " relative error = 1.112858779714223500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8550000000000006 " " y[1] (analytic) = 1.3437814902612009 " " y[1] (numeric) = 1.343630933211561 " " absolute error = 1.5055704963984340000E-4 " " relative error = 1.120398299358763300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8560000000000006 " " y[1] (analytic) = 1.344536389160801 " " y[1] (numeric) = 1.3443847283967798 " " absolute error = 1.51660764021288590000E-4 " " relative error = 1.12797812869868400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8570000000000007 " " y[1] (analytic) = 1.3452919435239576 " " y[1] (numeric) = 1.3451391723829198 " " absolute error = 1.52771141037844060000E-4 " " relative error = 1.135598423622934800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8580000000000007 " " y[1] (analytic) = 1.346048152595116 " " y[1] (numeric) = 1.3458942643828111 " " absolute error = 1.5388821230488680000E-4 " " relative error = 1.143259340374991300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8590000000000007 " " y[1] (analytic) = 1.3468050156180673 " " y[1] (numeric) = 1.3466500036085203 " " absolute error = 1.55012009547039750000E-4 " " relative error = 1.150961035557939400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8600000000000007 " " y[1] (analytic) = 1.3475625318359485 " " y[1] (numeric) = 1.3474063892713501 " " absolute error = 1.56142564598393820000E-4 " " relative error = 1.158703666134600800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8610000000000007 " " y[1] (analytic) = 1.3483207004912439 " " y[1] (numeric) = 1.3481634205818414 " " absolute error = 1.5727990940250790000E-4 " " relative error = 1.166487389426009200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8620000000000007 " " y[1] (analytic) = 1.349079520825784 " " y[1] (numeric) = 1.3489210967497725 " " absolute error = 1.58424076011520750000E-4 " " relative error = 1.1743123631033100E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8630000000000007 " " y[1] (analytic) = 1.3498389920807492 " " y[1] (numeric) = 1.34967941698416 " " absolute error = 1.5957509658925950000E-4 " " relative error = 1.182178745209291600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8640000000000007 " " y[1] (analytic) = 1.3505991134966682 " " y[1] (numeric) = 1.3504383804932594 " " absolute error = 1.60733003408797260000E-4 " " relative error = 1.190086694138747200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8650000000000007 " " y[1] (analytic) = 1.3513598843134196 " " y[1] (numeric) = 1.3511979864845658 " " absolute error = 1.61897828853785340000E-4 " " relative error = 1.19803636864683290E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8660000000000007 " " y[1] (analytic) = 1.3521213037702324 " " y[1] (numeric) = 1.3519582341648142 " " absolute error = 1.63069605418231230000E-4 " " relative error = 1.206027927845901600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8670000000000007 " " y[1] (analytic) = 1.3528833711056878 " " y[1] (numeric) = 1.3527191227399802 " " absolute error = 1.6424836570760880000E-4 " " relative error = 1.214061531212195400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8680000000000007 " " y[1] (analytic) = 1.353646085557718 " " y[1] (numeric) = 1.35348065141528 " " absolute error = 1.65434142437970170000E-4 " " relative error = 1.222137338577752200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8690000000000007 " " y[1] (analytic) = 1.3544094463636087 " " y[1] (numeric) = 1.3542428193951717 " " absolute error = 1.66626968437055820000E-4 " " relative error = 1.230255510137092400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8700000000000007 " " y[1] (analytic) = 1.3551734527599995 " " y[1] (numeric) = 1.3550056258833554 " " absolute error = 1.6782687664407270000E-4 " " relative error = 1.238416206444052500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8710000000000007 " " y[1] (analytic) = 1.3559381039828833 " " y[1] (numeric) = 1.3557690700827738 " " absolute error = 1.69033900109472060000E-4 " " relative error = 1.246619588408630400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8720000000000007 " " y[1] (analytic) = 1.3567033992676099 " " y[1] (numeric) = 1.3565331511956127 " " absolute error = 1.70248071997169960000E-4 " " relative error = 1.25486581731183900E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8730000000000007 " " y[1] (analytic) = 1.3574693378488836 " " y[1] (numeric) = 1.3572978684233017 " " absolute error = 1.71469425581882720000E-4 " " relative error = 1.263155054784530800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8740000000000007 " " y[1] (analytic) = 1.3582359189607658 " " y[1] (numeric) = 1.3580632209665144 " " absolute error = 1.72697994251347350000E-4 " " relative error = 1.271487462822251700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8750000000000007 " " y[1] (analytic) = 1.3590031418366753 " " y[1] (numeric) = 1.3588292080251692 " " absolute error = 1.73933811506099540000E-4 " " relative error = 1.279863203782076700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8760000000000007 " " y[1] (analytic) = 1.35977100570939 " " y[1] (numeric) = 1.3595958287984296 " " absolute error = 1.7517691096036180000E-4 " " relative error = 1.288282440387617500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8770000000000007 " " y[1] (analytic) = 1.3605395098110453 " " y[1] (numeric) = 1.3603630824847053 " " absolute error = 1.7642732634004510000E-4 " " relative error = 1.29674533571279900E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8780000000000007 " " y[1] (analytic) = 1.3613086533731376 " " y[1] (numeric) = 1.361130968281652 " " absolute error = 1.77685091485635380000E-4 " " relative error = 1.305252053201571300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8790000000000007 " " y[1] (analytic) = 1.3620784356265232 " " y[1] (numeric) = 1.3618994853861723 " " absolute error = 1.78950240350861380000E-4 " " relative error = 1.313802756656584000E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8800000000000007 " " y[1] (analytic) = 1.3628488558014205 " " y[1] (numeric) = 1.3626686329944164 " " absolute error = 1.80222807004026820000E-4 " " relative error = 1.322397610247448800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8810000000000007 " " y[1] (analytic) = 1.3636199131274083 " " y[1] (numeric) = 1.3634384103017823 " " absolute error = 1.81502825626012050000E-4 " " relative error = 1.331036778494547600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8820000000000007 " " y[1] (analytic) = 1.36439160683343 " " y[1] (numeric) = 1.3642088165029165 " " absolute error = 1.82790330513604720000E-4 " " relative error = 1.339720426291954000E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8830000000000007 " " y[1] (analytic) = 1.3651639361477923 " " y[1] (numeric) = 1.3649798507917144 " " absolute error = 1.8408535607794540000E-4 " " relative error = 1.34844871889449300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8840000000000007 " " y[1] (analytic) = 1.3659369002981654 " " y[1] (numeric) = 1.365751512361321 " " absolute error = 1.85387936844305660000E-4 " " relative error = 1.357221821914599300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8850000000000007 " " y[1] (analytic) = 1.3667104985115852 " " y[1] (numeric) = 1.3665238004041316 " " absolute error = 1.86698107453642240000E-4 " " relative error = 1.366039901332181400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8860000000000007 " " y[1] (analytic) = 1.367484730014454 " " y[1] (numeric) = 1.3672967141117918 " " absolute error = 1.88015902662153070000E-4 " " relative error = 1.37490312348983800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8870000000000007 " " y[1] (analytic) = 1.3682595940325397 " " y[1] (numeric) = 1.3680702526751984 " " absolute error = 1.89341357341277220000E-4 " " relative error = 1.383811655091338700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8880000000000007 " " y[1] (analytic) = 1.3690350897909789 " " y[1] (numeric) = 1.3688444152845003 " " absolute error = 1.90674506478583080000E-4 " " relative error = 1.392765663206593500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8890000000000007 " " y[1] (analytic) = 1.3698112165142757 " " y[1] (numeric) = 1.3696192011290982 " " absolute error = 1.92015385177546350000E-4 " " relative error = 1.401765315268501700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8900000000000007 " " y[1] (analytic) = 1.3705879734263036 " " y[1] (numeric) = 1.3703946093976456 " " absolute error = 1.93364028657994070000E-4 " " relative error = 1.410810779074673200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8910000000000007 " " y[1] (analytic) = 1.3713653597503055 " " y[1] (numeric) = 1.3711706392780496 " " absolute error = 1.94720472255882630000E-4 " " relative error = 1.419902222784282800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8920000000000007 " " y[1] (analytic) = 1.3721433747088954 " " y[1] (numeric) = 1.3719472899574712 " " absolute error = 1.9608475142418590000E-4 " " relative error = 1.429039814923028200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8930000000000007 " " y[1] (analytic) = 1.3729220175240582 " " y[1] (numeric) = 1.3727245606223253 " " absolute error = 1.97456901732895320000E-4 " " relative error = 1.438223724381601200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8940000000000007 " " y[1] (analytic) = 1.373701287417151 " " y[1] (numeric) = 1.3735024504582822 " " absolute error = 1.9883695886879770000E-4 " " relative error = 1.44745412041254800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8950000000000007 " " y[1] (analytic) = 1.3744811836089044 " " y[1] (numeric) = 1.3742809586502678 " " absolute error = 2.00224958636585630000E-4 " " relative error = 1.456731172636829300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8960000000000007 " " y[1] (analytic) = 1.375261705319422 " " y[1] (numeric) = 1.3750600843824634 " " absolute error = 2.01620936958635260000E-4 " " relative error = 1.466055051040676000E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8970000000000007 " " y[1] (analytic) = 1.3760428517681824 " " y[1] (numeric) = 1.3758398268383076 " " absolute error = 2.03024929874784380000E-4 " " relative error = 1.475425925972451700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8980000000000007 " " y[1] (analytic) = 1.376824622174039 " " y[1] (numeric) = 1.3766201852004958 " " absolute error = 2.04436973543220550000E-4 " " relative error = 1.484843968147589200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8990000000000007 " " y[1] (analytic) = 1.3776070157552214 " " y[1] (numeric) = 1.377401158650981 " " absolute error = 2.0585710424048110000E-4 " " relative error = 1.494309348647064300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9000000000000007 " " y[1] (analytic) = 1.378390031729336 " " y[1] (numeric) = 1.3781827463709744 " " absolute error = 2.07285358361675160000E-4 " " relative error = 1.503822238917483800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9010000000000007 " " y[1] (analytic) = 1.3791736693133674 " " y[1] (numeric) = 1.3789649475409462 " " absolute error = 2.08721772421149860000E-4 " " relative error = 1.51338281077439400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9020000000000007 " " y[1] (analytic) = 1.3799579277236775 " " y[1] (numeric) = 1.3797477613406257 " " absolute error = 2.1016638305182410000E-4 " " relative error = 1.522991236395924200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9030000000000007 " " y[1] (analytic) = 1.3807428061760083 " " y[1] (numeric) = 1.380531186949002 " " absolute error = 2.11619227006298870000E-4 " " relative error = 1.532647688329313600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9040000000000007 " " y[1] (analytic) = 1.3815283038854813 " " y[1] (numeric) = 1.381315223544325 " " absolute error = 2.13080341156413060000E-4 " " relative error = 1.542352339486168800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9050000000000007 " " y[1] (analytic) = 1.3823144200665989 " " y[1] (numeric) = 1.3820998703041047 " " absolute error = 2.1454976249413170000E-4 " " relative error = 1.552105363147372000E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9060000000000007 " " y[1] (analytic) = 1.383101153933245 " " y[1] (numeric) = 1.3828851264051139 " " absolute error = 2.16027528131101930000E-4 " " relative error = 1.561906932958342700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9070000000000007 " " y[1] (analytic) = 1.3838885046986857 " " y[1] (numeric) = 1.383670991023386 " " absolute error = 2.17513675299763070000E-4 " " relative error = 1.571757222935545300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9080000000000007 " " y[1] (analytic) = 1.3846764715755704 " " y[1] (numeric) = 1.3844574633342182 " " absolute error = 2.1900824135223650000E-4 " " relative error = 1.581656407456937800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9090000000000007 " " y[1] (analytic) = 1.385465053775932 " " y[1] (numeric) = 1.38524454251217 " " absolute error = 2.20511263762102060000E-4 " " relative error = 1.591604661273288400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9100000000000007 " " y[1] (analytic) = 1.386254250511189 " " y[1] (numeric) = 1.386032227731065 " " absolute error = 2.22022780123953820000E-4 " " relative error = 1.601602159503436300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9110000000000007 " " y[1] (analytic) = 1.3870440609921442 " " y[1] (numeric) = 1.386820518163991 " " absolute error = 2.23542828153178160000E-4 " " relative error = 1.6116490776311698E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9120000000000007 " " y[1] (analytic) = 1.3878344844289874 " " y[1] (numeric) = 1.3876094129833005 " " absolute error = 2.2507144568684190000E-4 " " relative error = 1.621745591510111400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9130000000000007 " " y[1] (analytic) = 1.388625520031295 " " y[1] (numeric) = 1.3883989113606117 " " absolute error = 2.2660867068324820000E-4 " " relative error = 1.63189187735899600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9140000000000007 " " y[1] (analytic) = 1.3894171670080318 " " y[1] (numeric) = 1.389189012466808 " " absolute error = 2.28154541223712930000E-4 " " relative error = 1.642088111772942000E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9150000000000007 " " y[1] (analytic) = 1.3902094245675505 " " y[1] (numeric) = 1.38997971547204 " " absolute error = 2.29709095510566290000E-4 " " relative error = 1.652334471707537200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9160000000000007 " " y[1] (analytic) = 1.391002291917594 " " y[1] (numeric) = 1.3907710195457246 " " absolute error = 2.31272371869373220000E-4 " " relative error = 1.662631134493301700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9170000000000007 " " y[1] (analytic) = 1.3917957682652946 " " y[1] (numeric) = 1.391562923856547 " " absolute error = 2.32844408747601150000E-4 " " relative error = 1.672978277824580500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9180000000000007 " " y[1] (analytic) = 1.3925898528171763 " " y[1] (numeric) = 1.39235542757246 " " absolute error = 2.34425244716396360000E-4 " " relative error = 1.683376079770792800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9190000000000007 " " y[1] (analytic) = 1.3933845447791549 " " y[1] (numeric) = 1.393148529860685 " " absolute error = 2.36014918469917840000E-4 " " relative error = 1.693824718770116400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9200000000000007 " " y[1] (analytic) = 1.3941798433565378 " " y[1] (numeric) = 1.393942229887713 " " absolute error = 2.37613468824671160000E-4 " " relative error = 1.704324373623192200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9210000000000007 " " y[1] (analytic) = 1.3949757477540268 " " y[1] (numeric) = 1.3947365268193048 " " absolute error = 2.39220934721950940000E-4 " " relative error = 1.71487522350913500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9220000000000007 " " y[1] (analytic) = 1.395772257175718 " " y[1] (numeric) = 1.3955314198204911 " " absolute error = 2.4083735522695270000E-4 " " relative error = 1.725477447977624700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9230000000000007 " " y[1] (analytic) = 1.3965693708251012 " " y[1] (numeric) = 1.3963269080555738 " " absolute error = 2.42462769527440600000E-4 " " relative error = 1.736131226937851200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9240000000000007 " " y[1] (analytic) = 1.3973670879050637 " " y[1] (numeric) = 1.3971229906881262 " " absolute error = 2.44097216937522180000E-4 " " relative error = 1.74683674068403400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9250000000000007 " " y[1] (analytic) = 1.398165407617888 " " y[1] (numeric) = 1.3979196668809935 " " absolute error = 2.4574073689453968000E-4 " " relative error = 1.757594169871634400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9260000000000007 " " y[1] (analytic) = 1.3989643291652545 " " y[1] (numeric) = 1.3987169357962936 " " absolute error = 2.4739336896084652000E-4 " " relative error = 1.768403695528557300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9270000000000007 " " y[1] (analytic) = 1.3997638517482418 " " y[1] (numeric) = 1.3995147965954176 " " absolute error = 2.4905515282425128000E-4 " " relative error = 1.779265499056806300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9280000000000007 " " y[1] (analytic) = 1.4005639745673273 " " y[1] (numeric) = 1.40031324843903 " " absolute error = 2.50726128297351640000E-4 " " relative error = 1.79017976222619780E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9290000000000007 " " y[1] (analytic) = 1.401364696822388 " " y[1] (numeric) = 1.4011122904870696 " " absolute error = 2.5240633531842250000E-4 " " relative error = 1.80114666717919310E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9300000000000007 " " y[1] (analytic) = 1.4021660177127022 " " y[1] (numeric) = 1.4019119218987504 " " absolute error = 2.5409581395186010000E-4 " " relative error = 1.81216639643254600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9310000000000007 " " y[1] (analytic) = 1.4029679364369492 " " y[1] (numeric) = 1.402712141832561 " " absolute error = 2.557946043881820000E-4 " " relative error = 1.82323913287577600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9320000000000007 " " y[1] (analytic) = 1.4037704521932095 " " y[1] (numeric) = 1.4035129494462668 " " absolute error = 2.5750274694269490000E-4 " " relative error = 1.83436505976016400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9330000000000007 " " y[1] (analytic) = 1.404573564178968 " " y[1] (numeric) = 1.404314343896909 " " absolute error = 2.59220282059047240000E-4 " " relative error = 1.845544360722553600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9340000000000007 " " y[1] (analytic) = 1.405377271591113 " " y[1] (numeric) = 1.4051163243408062 " " absolute error = 2.60947250306786670000E-4 " " relative error = 1.85677721976642230E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9350000000000007 " " y[1] (analytic) = 1.4061815736259367 " " y[1] (numeric) = 1.4059188899335546 " " absolute error = 2.6268369238202640000E-4 " " relative error = 1.868063821265117700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9360000000000007 " " y[1] (analytic) = 1.4069864694791372 " " y[1] (numeric) = 1.4067220398300284 " " absolute error = 2.6442964910877720000E-4 " " relative error = 1.879404349969821500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9370000000000007 " " y[1] (analytic) = 1.407791958345819 " " y[1] (numeric) = 1.4075257731843807 " " absolute error = 2.6618516143828150000E-4 " " relative error = 1.890798991003286600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9380000000000007 " " y[1] (analytic) = 1.4085980394204929 " " y[1] (numeric) = 1.4083300891500437 " " absolute error = 2.67950270449235360000E-4 " " relative error = 1.90224792985990500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9390000000000007 " " y[1] (analytic) = 1.409404711897078 " " y[1] (numeric) = 1.4091349868797296 " " absolute error = 2.69725017348454440000E-4 " " relative error = 1.91375135240892500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9400000000000007 " " y[1] (analytic) = 1.4102119749689024 " " y[1] (numeric) = 1.409940465525431 " " absolute error = 2.71509443471318330000E-4 " " relative error = 1.925309444896080900E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9410000000000007 " " y[1] (analytic) = 1.4110198278287025 " " y[1] (numeric) = 1.4107465242384216 " " absolute error = 2.73303590280882250000E-4 " " relative error = 1.936922393935780000E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9420000000000007 " " y[1] (analytic) = 1.4118282696686255 " " y[1] (numeric) = 1.4115531621692563 " " absolute error = 2.7510749936920930000E-4 " " relative error = 1.94859038651903900E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9430000000000007 " " y[1] (analytic) = 1.41263729968023 " " y[1] (numeric) = 1.4123603784677727 " " absolute error = 2.76921212457370560000E-4 " " relative error = 1.96031361001196500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9440000000000007 " " y[1] (analytic) = 1.4134469170544857 " " y[1] (numeric) = 1.4131681722830907 " " absolute error = 2.78744771395000870000E-4 " " relative error = 1.972092252151099200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9450000000000007 " " y[1] (analytic) = 1.4142571209817758 " " y[1] (numeric) = 1.4139765427636133 " " absolute error = 2.8057821816251940000E-4 " " relative error = 1.983926501057617400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9460000000000007 " " y[1] (analytic) = 1.4150679106518957 " " y[1] (numeric) = 1.4147854890570277 " " absolute error = 2.8242159486802090000E-4 " " relative error = 1.995816545213822700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9470000000000007 " " y[1] (analytic) = 1.4158792852540565 " " y[1] (numeric) = 1.4155950103103054 " " absolute error = 2.84274943751050560000E-4 " " relative error = 2.007762573488332500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9480000000000007 " " y[1] (analytic) = 1.4166912439768833 " " y[1] (numeric) = 1.416405105669703 " " absolute error = 2.8613830718038360000E-4 " " relative error = 2.019764775118865500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9490000000000007 " " y[1] (analytic) = 1.4175037860084174 " " y[1] (numeric) = 1.4172157742807618 " " absolute error = 2.88011727655579360000E-4 " " relative error = 2.03182333972171170E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9500000000000007 " " y[1] (analytic) = 1.418316910536117 " " y[1] (numeric) = 1.4180270152883105 " " absolute error = 2.8989524780653750000E-4 " " relative error = 2.043938457287084500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9510000000000007 " " y[1] (analytic) = 1.4191306167468576 " " y[1] (numeric) = 1.4188388278364636 " " absolute error = 2.91788910393941950000E-4 " " relative error = 2.05611031818074580E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9520000000000007 " " y[1] (analytic) = 1.4199449038269332 " " y[1] (numeric) = 1.419651211068623 " " absolute error = 2.93692758310148960000E-4 " " relative error = 2.068339113148752500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9530000000000007 " " y[1] (analytic) = 1.4207597709620565 " " y[1] (numeric) = 1.4204641641274784 " " absolute error = 2.9560683457807710000E-4 " " relative error = 2.080625033308124000E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9540000000000007 " " y[1] (analytic) = 1.4215752173373606 " " y[1] (numeric) = 1.4212776861550083 " " absolute error = 2.97531182352317460000E-4 " " relative error = 2.092968270153157400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9550000000000007 " " y[1] (analytic) = 1.4223912421373992 " " y[1] (numeric) = 1.4220917762924794 " " absolute error = 2.99465844919799550000E-4 " " relative error = 2.105369015558603600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9560000000000007 " " y[1] (analytic) = 1.4232078445461473 " " y[1] (numeric) = 1.4229064336804484 " " absolute error = 3.0141086569890340000E-4 " " relative error = 2.11782746177190700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9570000000000007 " " y[1] (analytic) = 1.424025023747003 " " y[1] (numeric) = 1.4237216574587623 " " absolute error = 3.03366288240569660000E-4 " " relative error = 2.13034380141950920E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9580000000000007 " " y[1] (analytic) = 1.424842778922787 " " y[1] (numeric) = 1.4245374467665584 " " absolute error = 3.05332156228743660000E-4 " " relative error = 2.142918227508452400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9590000000000007 " " y[1] (analytic) = 1.4256611092557439 " " y[1] (numeric) = 1.4253538007422653 " " absolute error = 3.0730851347859910000E-4 " " relative error = 2.155550933412410400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9600000000000007 " " y[1] (analytic) = 1.426480013927544 " " y[1] (numeric) = 1.4261707185236034 " " absolute error = 3.0929540394053490000E-4 " " relative error = 2.168242112898226300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9610000000000007 " " y[1] (analytic) = 1.4272994921192823 " " y[1] (numeric) = 1.426988199247586 " " absolute error = 3.1129287169640030000E-4 " " relative error = 2.180991960097922500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9620000000000007 " " y[1] (analytic) = 1.4281195430114806 " " y[1] (numeric) = 1.4278062420505184 " " absolute error = 3.13300960962159540000E-4 " " relative error = 2.19380066952589100E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9630000000000007 " " y[1] (analytic) = 1.4289401657840881 " " y[1] (numeric) = 1.4286248460680004 " " absolute error = 3.15319716087669730000E-4 " " relative error = 2.206668436075820400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9640000000000007 " " y[1] (analytic) = 1.4297613596164824 " " y[1] (numeric) = 1.4294440104349255 " " absolute error = 3.17349181556902950000E-4 " " relative error = 2.21959545502074800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9650000000000007 " " y[1] (analytic) = 1.4305831236874698 " " y[1] (numeric) = 1.4302637342854818 " " absolute error = 3.1938940198794620000E-4 " " relative error = 2.232581922011552800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9660000000000007 " " y[1] (analytic) = 1.431405457175286 " " y[1] (numeric) = 1.4310840167531529 " " absolute error = 3.2144042213300140000E-4 " " relative error = 2.24562803307545800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9670000000000007 " " y[1] (analytic) = 1.4322283592575973 " " y[1] (numeric) = 1.431904856970718 " " absolute error = 3.2350228687927360000E-4 " " relative error = 2.25873398462073900E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9680000000000007 " " y[1] (analytic) = 1.4330518291115024 " " y[1] (numeric) = 1.4327262540702532 " " absolute error = 3.2557504124919310000E-4 " " relative error = 2.27189997343676620E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9690000000000007 " " y[1] (analytic) = 1.4338758659135307 " " y[1] (numeric) = 1.4335482071831311 " " absolute error = 3.2765873039952710000E-4 " " relative error = 2.285126196686306800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9700000000000008 " " y[1] (analytic) = 1.4347004688396463 " " y[1] (numeric) = 1.4343707154400223 " " absolute error = 3.29753399624044260000E-4 " " relative error = 2.298412851922613800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9710000000000008 " " y[1] (analytic) = 1.4355256370652458 " " y[1] (numeric) = 1.4351937779708952 " " absolute error = 3.3185909435062830000E-4 " " relative error = 2.311760137067792600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9720000000000008 " " y[1] (analytic) = 1.4363513697651613 " " y[1] (numeric) = 1.4360173939050171 " " absolute error = 3.33975860144164470000E-4 " " relative error = 2.325168250431427800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9730000000000008 " " y[1] (analytic) = 1.43717766611366 " " y[1] (numeric) = 1.436841562370955 " " absolute error = 3.3610374270498510000E-4 " " relative error = 2.338637390698250500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9740000000000008 " " y[1] (analytic) = 1.4380045252844456 " " y[1] (numeric) = 1.4376662824965751 " " absolute error = 3.38242787870424170000E-4 " " relative error = 2.352167756937467400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9750000000000008 " " y[1] (analytic) = 1.4388319464506591 " " y[1] (numeric) = 1.4384915534090446 " " absolute error = 3.40393041614595050000E-4 " " relative error = 2.36575954859970800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9760000000000008 " " y[1] (analytic) = 1.4396599287848795 " " y[1] (numeric) = 1.4393173742348317 " " absolute error = 3.4255455004772450000E-4 " " relative error = 2.379412965510902500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9770000000000008 " " y[1] (analytic) = 1.4404884714591244 " " y[1] (numeric) = 1.4401437440997062 " " absolute error = 3.447273594181510000E-4 " " relative error = 2.393128207884675800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9780000000000008 " " y[1] (analytic) = 1.4413175736448511 " " y[1] (numeric) = 1.4409706621287401 " " absolute error = 3.4691151611099260000E-4 " " relative error = 2.4069054763115900E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9790000000000008 " " y[1] (analytic) = 1.4421472345129578 " " y[1] (numeric) = 1.4417981274463083 " " absolute error = 3.4910706664947890000E-4 " " relative error = 2.42074497176690400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9800000000000008 " " y[1] (analytic) = 1.4429774532337833 " " y[1] (numeric) = 1.4426261391760893 " " absolute error = 3.5131405769406320000E-4 " " relative error = 2.434646895602915800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9810000000000008 " " y[1] (analytic) = 1.4438082289771093 " " y[1] (numeric) = 1.443454696441065 " " absolute error = 3.53532536044198760000E-4 " " relative error = 2.448611449559786600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9820000000000008 " " y[1] (analytic) = 1.4446395609121598 " " y[1] (numeric) = 1.4442837983635226 " " absolute error = 3.55762548637228450000E-4 " " relative error = 2.46263883575634900E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9830000000000008 " " y[1] (analytic) = 1.4454714482076032 " " y[1] (numeric) = 1.445113444065054 " " absolute error = 3.58004142549273040000E-4 " " relative error = 2.476729256694770500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9840000000000008 " " y[1] (analytic) = 1.4463038900315524 " " y[1] (numeric) = 1.4459436326665567 " " absolute error = 3.6025736499567530000E-4 " " relative error = 2.490882915262130300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9850000000000008 " " y[1] (analytic) = 1.447136885551565 " " y[1] (numeric) = 1.446774363288235 " " absolute error = 3.6252226332988970000E-4 " " relative error = 2.50510001472125540E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9860000000000008 " " y[1] (analytic) = 1.4479704339346462 " " y[1] (numeric) = 1.4476056350496 " " absolute error = 3.647988850461470000E-4 " " relative error = 2.519380758727647300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9870000000000008 " " y[1] (analytic) = 1.4488045343472475 " " y[1] (numeric) = 1.4484374470694703 " " absolute error = 3.6708727777723380000E-4 " " relative error = 2.533725351312648400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9880000000000008 " " y[1] (analytic) = 1.4496391859552684 " " y[1] (numeric) = 1.4492697984659724 " " absolute error = 3.6938748929604690000E-4 " " relative error = 2.548133996892693600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9890000000000008 " " y[1] (analytic) = 1.4504743879240576 " " y[1] (numeric) = 1.4501026883565413 " " absolute error = 3.7169956751625930000E-4 " " relative error = 2.56260690027241200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9900000000000008 " " y[1] (analytic) = 1.4513101394184131 " " y[1] (numeric) = 1.4509361158579221 " " absolute error = 3.74023560490988060000E-4 " " relative error = 2.57714426663394900E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9910000000000008 " " y[1] (analytic) = 1.4521464396025834 " " y[1] (numeric) = 1.451770080086169 " " absolute error = 3.7635951641434850000E-4 " " relative error = 2.59174630154620500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9920000000000008 " " y[1] (analytic) = 1.4529832876402684 " " y[1] (numeric) = 1.4526045801566467 " " absolute error = 3.7870748362167640000E-4 " " relative error = 2.60641321096486900E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9930000000000008 " " y[1] (analytic) = 1.4538206826946203 " " y[1] (numeric) = 1.4534396151840314 " " absolute error = 3.8106751058886170000E-4 " " relative error = 2.621145201226348000E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9940000000000008 " " y[1] (analytic) = 1.454658623928244 " " y[1] (numeric) = 1.4542751842823105 " " absolute error = 3.8343964593345880000E-4 " " relative error = 2.63594247905392600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9950000000000008 " " y[1] (analytic) = 1.455497110503198 " " y[1] (numeric) = 1.455111286564784 " " absolute error = 3.8582393841402050000E-4 " " relative error = 2.650805251551702000E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9960000000000008 " " y[1] (analytic) = 1.4563361415809966 " " y[1] (numeric) = 1.455947921144064 " " absolute error = 3.8822043693254040000E-4 " " relative error = 2.665733726219887700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9970000000000008 " " y[1] (analytic) = 1.4571757163226078 " " y[1] (numeric) = 1.4567850871320769 " " absolute error = 3.90629190530900060000E-4 " " relative error = 2.6807281109289200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9980000000000008 " " y[1] (analytic) = 1.458015833888458 " " y[1] (numeric) = 1.4576227836400626 " " absolute error = 3.9305024839531020000E-4 " " relative error = 2.695788613948479400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9990000000000008 " " y[1] (analytic) = 1.4588564934384287 " " y[1] (numeric) = 1.4584610097785755 " " absolute error = 3.9548365985320190000E-4 " " relative error = 2.710915443924666000E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0000000000000007 " " y[1] (analytic) = 1.4596976941318607 " " y[1] (numeric) = 1.4592997646574855 " " absolute error = 3.97929474375224860000E-4 " " relative error = 2.726108809892236500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0010000000000006 " " y[1] (analytic) = 1.4605394351275538 " " y[1] (numeric) = 1.4601390473859779 " " absolute error = 4.00387741575913840000E-4 " " relative error = 2.74136892127768260E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0020000000000004 " " y[1] (analytic) = 1.461381715583767 " " y[1] (numeric) = 1.4609788570725548 " " absolute error = 4.0285851121213410000E-4 " " relative error = 2.756695987887103000E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0030000000000003 " " y[1] (analytic) = 1.4622245346582194 " " y[1] (numeric) = 1.461819192825035 " " absolute error = 4.05341833184413860000E-4 " " relative error = 2.772090219913855300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0040000000000002 " " y[1] (analytic) = 1.4630678915080924 " " y[1] (numeric) = 1.462660053750555 " " absolute error = 4.07837757537388160000E-4 " " relative error = 2.78755182794012070E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0050000000000001 " " y[1] (analytic) = 1.4639117852900294 " " y[1] (numeric) = 1.463501438955569 " " absolute error = 4.1034633446046520000E-4 " " relative error = 2.80308102293996900E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.006 " " y[1] (analytic) = 1.464756215160136 " " y[1] (numeric) = 1.4643433475458505 " " absolute error = 4.1286761428560580000E-4 " " relative error = 2.81867801626271700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.007 " " y[1] (analytic) = 1.4656011802739832 " " y[1] (numeric) = 1.4651857786264921 " " absolute error = 4.1540164749109820000E-4 " " relative error = 2.834343019657244000E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0079999999999998 " " y[1] (analytic) = 1.4664466797866054 " " y[1] (numeric) = 1.4660287313019065 " " absolute error = 4.17948484698893450000E-4 " " relative error = 2.850076245252316500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0089999999999997 " " y[1] (analytic) = 1.4672927128525033 " " y[1] (numeric) = 1.4668722046758267 " " absolute error = 4.2050817667660390000E-4 " " relative error = 2.86587790556876200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0099999999999996 " " y[1] (analytic) = 1.4681392786256442 " " y[1] (numeric) = 1.467716197851307 " " absolute error = 4.2308077433728110000E-4 " " relative error = 2.88174821351647100E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0109999999999995 " " y[1] (analytic) = 1.468986376259462 " " y[1] (numeric) = 1.4685607099307232 " " absolute error = 4.25666328738749660000E-4 " " relative error = 2.897687382388396400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0119999999999993 " " y[1] (analytic) = 1.4698340049068594 " " y[1] (numeric) = 1.4694057400157738 " " absolute error = 4.2826489108560570000E-4 " " relative error = 2.91369562587269200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0129999999999992 " " y[1] (analytic) = 1.4706821637202077 " " y[1] (numeric) = 1.47025128720748 " " absolute error = 4.3087651272766260000E-4 " " relative error = 2.929773158040661600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0139999999999991 " " y[1] (analytic) = 1.471530851851348 " " y[1] (numeric) = 1.4710973506061864 " " absolute error = 4.335012451615050000E-4 " " relative error = 2.945920193355869300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.014999999999999 " " y[1] (analytic) = 1.4723800684515924 " " y[1] (numeric) = 1.471943929311562 " " absolute error = 4.36139140030489260000E-4 " " relative error = 2.962136946672667000E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.015999999999999 " " y[1] (analytic) = 1.4732298126717245 " " y[1] (numeric) = 1.4727910224226004 " " absolute error = 4.38790249124076940000E-4 " " relative error = 2.978423633230203300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0169999999999988 " " y[1] (analytic) = 1.4740800836619998 " " y[1] (numeric) = 1.4736386290376207 " " absolute error = 4.41454624379167270000E-4 " " relative error = 2.994780468660011600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0179999999999987 " " y[1] (analytic) = 1.474930880572148 " " y[1] (numeric) = 1.4744867482542674 " " absolute error = 4.4413231788054120000E-4 " " relative error = 3.0112076689875500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0189999999999986 " " y[1] (analytic) = 1.4757822025513718 " " y[1] (numeric) = 1.475335379169512 " " absolute error = 4.4682338185975110000E-4 " " relative error = 3.027705450623207600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0199999999999985 " " y[1] (analytic) = 1.4766340487483491 " " y[1] (numeric) = 1.4761845208796534 " " absolute error = 4.4952786869578710000E-4 " " relative error = 3.0442740303653700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0209999999999984 " " y[1] (analytic) = 1.4774864183112342 " " y[1] (numeric) = 1.4770341724803175 " " absolute error = 4.52245830916631060000E-4 " " relative error = 3.060913625409482600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0219999999999982 " " y[1] (analytic) = 1.4783393103876574 " " y[1] (numeric) = 1.477884333066459 " " absolute error = 4.54977321198368760000E-4 " " relative error = 3.07762445334056900E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0229999999999981 " " y[1] (analytic) = 1.4791927241247267 " " y[1] (numeric) = 1.4787350017323615 " " absolute error = 4.57722392365189630000E-4 " " relative error = 3.094406732131776400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.023999999999998 " " y[1] (analytic) = 1.4800466586690286 " " y[1] (numeric) = 1.4795861775716381 " " absolute error = 4.60481097390497140000E-4 " " relative error = 3.111260680150429000E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.024999999999998 " " y[1] (analytic) = 1.4809011131666285 " " y[1] (numeric) = 1.480437859677232 " " absolute error = 4.6325348939646460000E-4 " " relative error = 3.12818651615356100E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0259999999999978 " " y[1] (analytic) = 1.481756086763072 " " y[1] (numeric) = 1.4812900471414172 " " absolute error = 4.66039621654701360000E-4 " " relative error = 3.145184459290968300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0269999999999977 " " y[1] (analytic) = 1.4826115786033855 " " y[1] (numeric) = 1.482142739055799 " " absolute error = 4.68839547586474840000E-4 " " relative error = 3.16225472910524500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0279999999999976 " " y[1] (analytic) = 1.4834675878320773 " " y[1] (numeric) = 1.4829959345113148 " " absolute error = 4.71653320762488450000E-4 " " relative error = 3.17939754552883260E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0289999999999975 " " y[1] (analytic) = 1.484324113593138 " " y[1] (numeric) = 1.4838496325982344 " " absolute error = 4.7448099490354780000E-4 " " relative error = 3.19661312888706360E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0299999999999974 " " y[1] (analytic) = 1.4851811550300424 " " y[1] (numeric) = 1.484703832406161 " " absolute error = 4.77322623881448750000E-4 " " relative error = 3.213901699902685400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0309999999999973 " " y[1] (analytic) = 1.4860387112857487 " " y[1] (numeric) = 1.4855585330240313 " " absolute error = 4.8017826171742330000E-4 " " relative error = 3.23126347968394400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0319999999999971 " " y[1] (analytic) = 1.486896781502701 " " y[1] (numeric) = 1.4864137335401166 " " absolute error = 4.8304796258435980000E-4 " " relative error = 3.24869868973808300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.032999999999997 " " y[1] (analytic) = 1.487755364822829 " " y[1] (numeric) = 1.487269433042023 " " absolute error = 4.8593178080591490000E-4 " " relative error = 3.26620755196391200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.033999999999997 " " y[1] (analytic) = 1.4886144603875495 " " y[1] (numeric) = 1.4881256306166926 " " absolute error = 4.8882977085695780000E-4 " " relative error = 3.283790288653347700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0349999999999968 " " y[1] (analytic) = 1.4894740673377669 " " y[1] (numeric) = 1.4889823253504033 " " absolute error = 4.9174198736356980000E-4 " " relative error = 3.30144712248996700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0359999999999967 " " y[1] (analytic) = 1.4903341848138747 " " y[1] (numeric) = 1.48983951632877 " " absolute error = 4.946684851045990400E-4 " " relative error = 3.31917827655800140E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0369999999999966 " " y[1] (analytic) = 1.491194811955755 " " y[1] (numeric) = 1.490697202636745 " " absolute error = 4.976093190098840300E-4 " " relative error = 3.336983974328960000E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0379999999999965 " " y[1] (analytic) = 1.4920559479027808 " " y[1] (numeric) = 1.4915553833586188 " " absolute error = 5.0056454416202990000E-4 " " relative error = 3.35486443967210830E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0389999999999964 " " y[1] (analytic) = 1.4929175917938167 " " y[1] (numeric) = 1.4924140575780205 " " absolute error = 5.0353421579618640000E-4 " " relative error = 3.37281989685153600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0399999999999963 " " y[1] (analytic) = 1.4937797427672184 " " y[1] (numeric) = 1.493273224377918 " " absolute error = 5.06518389300270000E-4 " " relative error = 3.390850570526199000E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0409999999999962 " " y[1] (analytic) = 1.4946423999608351 " " y[1] (numeric) = 1.49413288284062 " " absolute error = 5.095171202151860000E-4 " " relative error = 3.408956685749963700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.041999999999996 " " y[1] (analytic) = 1.4955055625120097 " " y[1] (numeric) = 1.4949930320477745 " " absolute error = 5.1253046423527240000E-4 " " relative error = 3.42713846797314400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.042999999999996 " " y[1] (analytic) = 1.49636922955758 " " y[1] (numeric) = 1.4958536710803716 " " absolute error = 5.1555847720830000E-4 " " relative error = 3.44539614304105400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0439999999999958 " " y[1] (analytic) = 1.4972334002338785 " " y[1] (numeric) = 1.4967147990187428 " " absolute error = 5.1860121513569450000E-4 " " relative error = 3.46372993719406300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0449999999999957 " " y[1] (analytic) = 1.4980980736767349 " " y[1] (numeric) = 1.4975764149425619 " " absolute error = 5.2165873417298060000E-4 " " relative error = 3.4821400770691200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0459999999999956 " " y[1] (analytic) = 1.4989632490214757 " " y[1] (numeric) = 1.4984385179308455 " " absolute error = 5.247310906302260000E-4 " " relative error = 3.500626789701287700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0469999999999955 " " y[1] (analytic) = 1.499828925402926 " " y[1] (numeric) = 1.499301107061954 " " absolute error = 5.2781834097204160000E-4 " " relative error = 3.51919030252229800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0479999999999954 " " y[1] (analytic) = 1.5006951019554091 " " y[1] (numeric) = 1.5001641814135918 " " absolute error = 5.309205418173590000E-4 " " relative error = 3.537830843357643300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0489999999999953 " " y[1] (analytic) = 1.5015617778127486 " " y[1] (numeric) = 1.501027740062808 " " absolute error = 5.3403774994054130000E-4 " " relative error = 3.5565486404325497E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0499999999999952 " " y[1] (analytic) = 1.5024289521082688 " " y[1] (numeric) = 1.5018917820859976 " " absolute error = 5.3717002227116060000E-4 " " relative error = 3.57534392236905400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.050999999999995 " " y[1] (analytic) = 1.5032966239747954 " " y[1] (numeric) = 1.502756306558901 " " absolute error = 5.4031741589444240000E-4 " " relative error = 3.594216918187541600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.051999999999995 " " y[1] (analytic) = 1.5041647925446566 " " y[1] (numeric) = 1.5036213125566054 " " absolute error = 5.4347998805126530000E-4 " " relative error = 3.61316785730530300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0529999999999948 " " y[1] (analytic) = 1.505033456949684 " " y[1] (numeric) = 1.5044867991535456 " " absolute error = 5.4665779613838340000E-4 " " relative error = 3.632196969536599700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0539999999999947 " " y[1] (analytic) = 1.5059026163212132 " " y[1] (numeric) = 1.5053527654235037 " " absolute error = 5.4985089770953620000E-4 " " relative error = 3.651304485098600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0549999999999946 " " y[1] (analytic) = 1.506772269790085 " " y[1] (numeric) = 1.5062192104396108 " " absolute error = 5.5305935047411660000E-4 " " relative error = 3.67049063460111100E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0559999999999945 " " y[1] (analytic) = 1.5076424164866458 " " y[1] (numeric) = 1.5070861332743468 " " absolute error = 5.562832122989470000E-4 " " relative error = 3.68975564905694800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0569999999999944 " " y[1] (analytic) = 1.5085130555407489 " " y[1] (numeric) = 1.5079535329995413 " " absolute error = 5.5952254120761320000E-4 " " relative error = 3.70909975987608600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0579999999999943 " " y[1] (analytic) = 1.5093841860817556 " " y[1] (numeric) = 1.5088214086863743 " " absolute error = 5.6277739538135310000E-4 " " relative error = 3.72852319887012700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0589999999999942 " " y[1] (analytic) = 1.5102558072385355 " " y[1] (numeric) = 1.5096897594053769 " " absolute error = 5.6604783315861160000E-4 " " relative error = 3.74802619824793600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.059999999999994 " " y[1] (analytic) = 1.5111279181394672 " " y[1] (numeric) = 1.5105585842264315 " " absolute error = 5.6933391303570780000E-4 " " relative error = 3.76760899061863500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.060999999999994 " " y[1] (analytic) = 1.51200051791244 " " y[1] (numeric) = 1.511427882218773 " " absolute error = 5.7263569366705620000E-4 " " relative error = 3.787271808991652400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0619999999999938 " " y[1] (analytic) = 1.5128736056848544 " " y[1] (numeric) = 1.512297652450989 " " absolute error = 5.7595323386538940000E-4 " " relative error = 3.80701488677677300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0629999999999937 " " y[1] (analytic) = 1.5137471805836225 " " y[1] (numeric) = 1.5131678939910205 " " absolute error = 5.7928659260197970000E-4 " " relative error = 3.82683845778419100E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0639999999999936 " " y[1] (analytic) = 1.5146212417351694 " " y[1] (numeric) = 1.5140386059061623 " " absolute error = 5.8263582900708320000E-4 " " relative error = 3.846742756226026500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0649999999999935 " " y[1] (analytic) = 1.515495788265434 " " y[1] (numeric) = 1.5149097872630644 " " absolute error = 5.8600100236971820000E-4 " " relative error = 3.86672801671344550E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0659999999999934 " " y[1] (analytic) = 1.5163708192998702 " " y[1] (numeric) = 1.5157814371277316 " " absolute error = 5.8938217213855280000E-4 " " relative error = 3.886794474261110500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0669999999999933 " " y[1] (analytic) = 1.5172463339634468 " " y[1] (numeric) = 1.516653554565525 " " absolute error = 5.9277939792168330000E-4 " " relative error = 3.906942364284299000E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0679999999999932 " " y[1] (analytic) = 1.518122331380649 " " y[1] (numeric) = 1.5175261386411623 " " absolute error = 5.961927394866340000E-4 " " relative error = 3.927171922597499000E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.068999999999993 " " y[1] (analytic) = 1.5189988106754797 " " y[1] (numeric) = 1.5183991884187178 " " absolute error = 5.9962225676191140000E-4 " " relative error = 3.94748338542323700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.069999999999993 " " y[1] (analytic) = 1.5198757709714596 " " y[1] (numeric) = 1.5192727029616242 " " absolute error = 6.0306800983545020000E-4 " " relative error = 3.967876989380434400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0709999999999928 " " y[1] (analytic) = 1.5207532113916287 " " y[1] (numeric) = 1.5201466813326725 " " absolute error = 6.0653005895616730000E-4 " " relative error = 3.98835297149322860E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0719999999999927 " " y[1] (analytic) = 1.5216311310585464 " " y[1] (numeric) = 1.5210211225940125 " " absolute error = 6.1000846453396210000E-4 " " relative error = 4.00891156918957200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0729999999999926 " " y[1] (analytic) = 1.5225095290942932 " " y[1] (numeric) = 1.5218960258071537 " " absolute error = 6.1350328713949410000E-4 " " relative error = 4.029553020298358700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0739999999999925 " " y[1] (analytic) = 1.523388404620471 " " y[1] (numeric) = 1.522771390032966 " " absolute error = 6.1701458750507140000E-4 " " relative error = 4.05027756305386340E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0749999999999924 " " y[1] (analytic) = 1.5242677567582046 " " y[1] (numeric) = 1.5236472143316804 " " absolute error = 6.2054242652420650000E-4 " " relative error = 4.0710854360914200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0759999999999923 " " y[1] (analytic) = 1.5251475846281417 " " y[1] (numeric) = 1.524523497762889 " " absolute error = 6.2408686525272650000E-4 " " relative error = 4.09197687845330700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0769999999999922 " " y[1] (analytic) = 1.5260278873504547 " " y[1] (numeric) = 1.5254002393855466 " " absolute error = 6.2764796490810680000E-4 " " relative error = 4.1129521295829800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.077999999999992 " " y[1] (analytic) = 1.5269086640448406 " " y[1] (numeric) = 1.5262774382579705 " " absolute error = 6.3122578687013760000E-4 " " relative error = 4.134011429328038000E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.078999999999992 " " y[1] (analytic) = 1.5277899138305233 " " y[1] (numeric) = 1.5271550934378413 " " absolute error = 6.3482039268203390000E-4 " " relative error = 4.15515501794610050E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0799999999999919 " " y[1] (analytic) = 1.5286716358262529 " " y[1] (numeric) = 1.528033203982204 " " absolute error = 6.3843184404888120000E-4 " " relative error = 4.176383136093228500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0809999999999917 " " y[1] (analytic) = 1.529553829150307 " " y[1] (numeric) = 1.528911768947468 " " absolute error = 6.4206020283896770000E-4 " " relative error = 4.19769602483126060E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0819999999999916 " " y[1] (analytic) = 1.5304364929204932 " " y[1] (numeric) = 1.529790787389408 " " absolute error = 6.4570553108511670000E-4 " " relative error = 4.21909392563511900E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0829999999999915 " " y[1] (analytic) = 1.531319626254147 " " y[1] (numeric) = 1.5306702583631653 " " absolute error = 6.4936789098180010000E-4 " " relative error = 4.24057708037255400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0839999999999914 " " y[1] (analytic) = 1.5322032282681357 " " y[1] (numeric) = 1.5315501809232466 " " absolute error = 6.530473448891350000E-4 " " relative error = 4.2621457313288700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0849999999999913 " " y[1] (analytic) = 1.533087298078857 " " y[1] (numeric) = 1.5324305541235268 " " absolute error = 6.567439553302190000E-4 " " relative error = 4.2838001211881300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0859999999999912 " " y[1] (analytic) = 1.5339718348022413 " " y[1] (numeric) = 1.5333113770172482 " " absolute error = 6.6045778499312920000E-4 " " relative error = 4.30554049304480930E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.086999999999991 " " y[1] (analytic) = 1.5348568375537521 " " y[1] (numeric) = 1.5341926486570217 " " absolute error = 6.6418889673047770000E-4 " " relative error = 4.327367090399511500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.087999999999991 " " y[1] (analytic) = 1.5357423054483865 " " y[1] (numeric) = 1.5350743680948271 " " absolute error = 6.6793735355941130000E-4 " " relative error = 4.34928015715758700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0889999999999909 " " y[1] (analytic) = 1.5366282376006768 " " y[1] (numeric) = 1.535956534382014 " " absolute error = 6.7170321866272250000E-4 " " relative error = 4.37127993763497300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0899999999999908 " " y[1] (analytic) = 1.537514633124691 " " y[1] (numeric) = 1.5368391465693028 " " absolute error = 6.7548655538818280000E-4 " " relative error = 4.39336667655247900E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0909999999999906 " " y[1] (analytic) = 1.5384014911340333 " " y[1] (numeric) = 1.5377222037067841 " " absolute error = 6.7928742724920890000E-4 " " relative error = 4.41554061903873860E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0919999999999905 " " y[1] (analytic) = 1.539288810741846 " " y[1] (numeric) = 1.538605704843921 " " absolute error = 6.8310589792508480000E-4 " " relative error = 4.43780201063027400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0929999999999904 " " y[1] (analytic) = 1.5401765910608098 " " y[1] (numeric) = 1.539489649029548 " " absolute error = 6.8694203126185020000E-4 " " relative error = 4.46015109727588400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0939999999999903 " " y[1] (analytic) = 1.541064831203144 " " y[1] (numeric) = 1.5403740353118731 " " absolute error = 6.9079589127096770000E-4 " " relative error = 4.48258812532661500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0949999999999902 " " y[1] (analytic) = 1.5419535302806089 " " y[1] (numeric) = 1.5412588627384778 " " absolute error = 6.9466754213109990000E-4 " " relative error = 4.50511334154591800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.09599999999999 " " y[1] (analytic) = 1.5428426874045054 " " y[1] (numeric) = 1.5421441303563173 " " absolute error = 6.9855704818810870000E-4 " " relative error = 4.52772699310827200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.09699999999999 " " y[1] (analytic) = 1.5437323016856763 " " y[1] (numeric) = 1.5430298372117222 " " absolute error = 7.0246447395416740000E-4 " " relative error = 4.55042932759204700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0979999999999899 " " y[1] (analytic) = 1.5446223722345074 " " y[1] (numeric) = 1.543915982350398 " " absolute error = 7.0638988410931520000E-4 " " relative error = 4.57322059298821200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0989999999999898 " " y[1] (analytic) = 1.5455128981609283 " " y[1] (numeric) = 1.5448025648174266 " " absolute error = 7.103333435016790000E-4 " " relative error = 4.596101037700396400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0999999999999897 " " y[1] (analytic) = 1.5464038785744134 " " y[1] (numeric) = 1.5456895836572666 " " absolute error = 7.1429491714680720000E-4 " " relative error = 4.61907091053920300E-2 "%" h = 1.000E-3 " " "Finished!" "Maximum Iterations Reached before Solution Completed!" "diff ( y , x , 3 ) = m1 * diff ( y , x , 1 ) ;" Iterations = 1000 "Total Elapsed Time "= 8 Minutes 31 Seconds "Elapsed Time(since restart) "= 8 Minutes 30 Seconds "Expected Time Remaining "= 33 Minutes 12 Seconds "Optimized Time Remaining "= 33 Minutes 7 Seconds "Time to Timeout "= 6 Minutes 28 Seconds Percent Done = 20.42857142857121 "%" (%o52) true (%o52) diffeq.max