(%i1) batch(diffeq.max) read and interpret file: /home/dennis/mastersource/mine/omnisode/diffeq.max (%i2) load(stringproc) (%o2) /usr/local/share/maxima/5.26.0/share/contrib/stringproc/stringproc.mac (%i3) display_alot(iter) := if iter >= 0 then (ind_var : array_x , omniout_float(ALWAYS, 1 "x[1] ", 33, ind_var, 20, " "), analytic_val_y : exact_soln_y(ind_var), omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y, 20, " "), term_no : 1, numeric_val : array_y , term_no abserr : abs(numeric_val - analytic_val_y), omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, abserr 100.0 20, " "), if abs(analytic_val_y) # 0.0 then relerr : ------------------- abs(analytic_val_y) else relerr : - 1.0, if glob_iter = 1 then array_1st_rel_error : relerr 1 else array_last_rel_error : relerr, omniout_float(ALWAYS, 1 "absolute error ", 4, abserr, 20, " "), omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"), omniout_float(ALWAYS, "h ", 4, glob_h, 20, " ")) (%o3) display_alot(iter) := if iter >= 0 then (ind_var : array_x , omniout_float(ALWAYS, 1 "x[1] ", 33, ind_var, 20, " "), analytic_val_y : exact_soln_y(ind_var), omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y, 20, " "), term_no : 1, numeric_val : array_y , term_no abserr : abs(numeric_val - analytic_val_y), omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, abserr 100.0 20, " "), if abs(analytic_val_y) # 0.0 then relerr : ------------------- abs(analytic_val_y) else relerr : - 1.0, if glob_iter = 1 then array_1st_rel_error : relerr 1 else array_last_rel_error : relerr, omniout_float(ALWAYS, 1 "absolute error ", 4, abserr, 20, " "), omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"), omniout_float(ALWAYS, "h ", 4, glob_h, 20, " ")) (%i4) adjust_for_pole(h_param) := block(hnew : h_param, glob_normmax : glob_small_float, if !array_y_higher ! > glob_small_float ! 1, 1! then (tmp : !array_y_higher !, if tmp < glob_normmax ! 1, 1! then glob_normmax : tmp), if glob_look_poles and (!array_pole ! > glob_small_float) and (array_pole # glob_large_float) ! 1! 1 array_pole 1 then (sz2 : -----------, if sz2 < hnew 10.0 then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."), omniout_str(INFO, "Reached Optimal"), newline(), return(hnew))), if not glob_reached_optimal_h then (glob_reached_optimal_h : true, glob_curr_iter_when_opt : glob_current_iter, glob_optimal_clock_start_sec : elapsed_time_seconds(), glob_optimal_start : array_x ), hnew : sz2) 1 (%o4) adjust_for_pole(h_param) := block(hnew : h_param, glob_normmax : glob_small_float, if !array_y_higher ! > glob_small_float ! 1, 1! then (tmp : !array_y_higher !, if tmp < glob_normmax ! 1, 1! then glob_normmax : tmp), if glob_look_poles and (!array_pole ! > glob_small_float) and (array_pole # glob_large_float) ! 1! 1 array_pole 1 then (sz2 : -----------, if sz2 < hnew 10.0 then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."), omniout_str(INFO, "Reached Optimal"), newline(), return(hnew))), if not glob_reached_optimal_h then (glob_reached_optimal_h : true, glob_curr_iter_when_opt : glob_current_iter, glob_optimal_clock_start_sec : elapsed_time_seconds(), glob_optimal_start : array_x ), hnew : sz2) 1 (%i5) prog_report(x_start, x_end) := (clock_sec1 : elapsed_time_seconds(), total_clock_sec : convfloat(clock_sec1) - convfloat(glob_orig_start_sec), glob_clock_sec : convfloat(clock_sec1) - convfloat(glob_clock_start_sec), left_sec : - convfloat(clock_sec1) + convfloat(glob_orig_start_sec) + convfloat(glob_max_sec), expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(clock_sec1) - convfloat(glob_orig_start_sec)), opt_clock_sec : convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec), glob_optimal_expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(opt_clock_sec)), percent_done : comp_percent(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done, 1 omniout_str_noeol(INFO, "Total Elapsed Time "), omniout_timestr(convfloat(total_clock_sec)), omniout_str_noeol(INFO, "Elapsed Time(since restart) "), omniout_timestr(convfloat(glob_clock_sec)), if convfloat(percent_done) < convfloat(100.0) then (omniout_str_noeol(INFO, "Expected Time Remaining "), omniout_timestr(convfloat(expect_sec)), omniout_str_noeol(INFO, "Optimized Time Remaining "), omniout_timestr(convfloat(glob_optimal_expect_sec))), omniout_str_noeol(INFO, "Time to Timeout "), omniout_timestr(convfloat(left_sec)), omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%")) (%o5) prog_report(x_start, x_end) := (clock_sec1 : elapsed_time_seconds(), total_clock_sec : convfloat(clock_sec1) - convfloat(glob_orig_start_sec), glob_clock_sec : convfloat(clock_sec1) - convfloat(glob_clock_start_sec), left_sec : - convfloat(clock_sec1) + convfloat(glob_orig_start_sec) + convfloat(glob_max_sec), expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(clock_sec1) - convfloat(glob_orig_start_sec)), opt_clock_sec : convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec), glob_optimal_expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(opt_clock_sec)), percent_done : comp_percent(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done, 1 omniout_str_noeol(INFO, "Total Elapsed Time "), omniout_timestr(convfloat(total_clock_sec)), omniout_str_noeol(INFO, "Elapsed Time(since restart) "), omniout_timestr(convfloat(glob_clock_sec)), if convfloat(percent_done) < convfloat(100.0) then (omniout_str_noeol(INFO, "Expected Time Remaining "), omniout_timestr(convfloat(expect_sec)), omniout_str_noeol(INFO, "Optimized Time Remaining "), omniout_timestr(convfloat(glob_optimal_expect_sec))), omniout_str_noeol(INFO, "Time to Timeout "), omniout_timestr(convfloat(left_sec)), omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%")) (%i6) check_for_pole() := (n : glob_max_terms, m : - 1 - 3 + n, while (m >= 10) and ((!array_y_higher ! < glob_small_float) ! 1, m! or (!array_y_higher ! < glob_small_float) ! 1, m - 1! or (!array_y_higher ! < glob_small_float)) do m : m - 1, ! 1, m - 2! array_y_higher array_y_higher 1, m 1, m - 1 if m > 10 then (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 hdrc : convfloat(m - 1) rm0 - convfloat(m - 2) rm1, glob_h if abs(hdrc) > glob_small_float then (rcs : ------, hdrc convfloat(m - 1) rm0 ord_no : 2.0 - convfloat(m) + --------------------, array_real_pole : rcs, hdrc 1, 1 array_real_pole : ord_no) else (array_real_pole : glob_large_float, 1, 2 1, 1 array_real_pole : glob_large_float)) 1, 2 else (array_real_pole : glob_large_float, 1, 1 array_real_pole : glob_large_float), n : - 1 - 3 + glob_max_terms, 1, 2 cnt : 0, while (cnt < 5) and (n >= 10) do (if !array_y_higher ! > ! 1, n! glob_small_float then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n, if m <= 10 then (array_complex_pole : glob_large_float, 1, 1 array_complex_pole : glob_large_float) 1, 2 elseif (!array_y_higher ! >= glob_large_float) ! 1, m! or (!array_y_higher ! >= glob_large_float) ! 1, m - 1! or (!array_y_higher ! >= glob_large_float) ! 1, m - 2! or (!array_y_higher ! >= glob_large_float) ! 1, m - 3! or (!array_y_higher ! >= glob_large_float) ! 1, m - 4! or (!array_y_higher ! >= glob_large_float) ! 1, m - 5! then (array_complex_pole : glob_large_float, 1, 1 array_complex_pole : glob_large_float) 1, 2 array_y_higher array_y_higher 1, m 1, m - 1 else (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 array_y_higher array_y_higher 1, m - 2 1, m - 3 rm2 : ----------------------, rm3 : ----------------------, array_y_higher array_y_higher 1, m - 3 1, m - 4 array_y_higher 1, m - 4 rm4 : ----------------------, nr1 : convfloat(m - 3) rm2 array_y_higher 1, m - 5 - 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0, nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1, - 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0 dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---, rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1 5.0 8.0 3.0 ds2 : --- - --- + ---, if (abs(nr1 dr2 - nr2 dr1) <= glob_small_float) rm4 rm3 rm2 or (abs(dr1) <= glob_small_float) then (array_complex_pole : 1, 1 glob_large_float, array_complex_pole : glob_large_float) 1, 2 else (if abs(nr1 dr2 - nr2 dr1) > glob_small_float dr1 dr2 - ds2 dr1 + ds1 dr2 then (rcs : ---------------------------, nr1 dr2 - nr2 dr1 rcs nr1 - ds1 convfloat(m) ord_no : ------------- - ------------, 2.0 dr1 2.0 if abs(rcs) > glob_small_float then (if rcs > 0.0 then rad_c : sqrt(rcs) glob_h else rad_c : glob_large_float) else (rad_c : glob_large_float, ord_no : glob_large_float)) else (rad_c : glob_large_float, ord_no : glob_large_float)), array_complex_pole : rad_c, 1, 1 array_complex_pole : ord_no), found : false, 1, 2 if (not found) and ((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole # glob_large_float) and (array_complex_pole # glob_large_float)) 1, 1 1, 2 and ((array_complex_pole > 0.0) and (array_complex_pole > 0.0)) 1, 1 1, 2 then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , found : true, array_type_pole : 2, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used")), if (not found) and ((array_real_pole # glob_large_float) and (array_real_pole # glob_large_float) 1, 1 1, 2 and (array_real_pole > 0.0) and (array_real_pole > 0.0) 1, 1 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float) or (array_complex_pole <= 0.0) or (array_complex_pole <= 0.0))) 1, 1 1, 2 1, 1 1, 2 then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found : true, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")), if (not found) and (((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float))) 1, 1 1, 2 then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 found : true, array_type_pole : 3, if glob_display_flag 1 then omniout_str(ALWAYS, "NO POLE")), if (not found) and ((array_real_pole < array_complex_pole ) 1, 1 1, 1 and (array_real_pole > 0.0) and (array_real_pole > 1, 1 1, 2 0.0)) then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found : true, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")), if (not found) and ((array_complex_pole # glob_large_float) 1, 1 and (array_complex_pole # glob_large_float) 1, 2 and (array_complex_pole > 0.0) and (array_complex_pole > 1, 1 1, 2 0.0)) then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , array_type_pole : 2, found : true, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used")), if not found then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 array_type_pole : 3, if glob_display_flag 1 then omniout_str(ALWAYS, "NO POLE")), array_pole : glob_large_float, 1 array_pole : glob_large_float, if array_pole > array_poles 2 1 1, 1 then (array_pole : array_poles , array_pole : array_poles ), 1 1, 1 2 1, 2 display_pole()) (%o6) check_for_pole() := (n : glob_max_terms, m : - 1 - 3 + n, while (m >= 10) and ((!array_y_higher ! < glob_small_float) ! 1, m! or (!array_y_higher ! < glob_small_float) ! 1, m - 1! or (!array_y_higher ! < glob_small_float)) do m : m - 1, ! 1, m - 2! array_y_higher array_y_higher 1, m 1, m - 1 if m > 10 then (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 hdrc : convfloat(m - 1) rm0 - convfloat(m - 2) rm1, glob_h if abs(hdrc) > glob_small_float then (rcs : ------, hdrc convfloat(m - 1) rm0 ord_no : 2.0 - convfloat(m) + --------------------, array_real_pole : rcs, hdrc 1, 1 array_real_pole : ord_no) else (array_real_pole : glob_large_float, 1, 2 1, 1 array_real_pole : glob_large_float)) 1, 2 else (array_real_pole : glob_large_float, 1, 1 array_real_pole : glob_large_float), n : - 1 - 3 + glob_max_terms, 1, 2 cnt : 0, while (cnt < 5) and (n >= 10) do (if !array_y_higher ! > ! 1, n! glob_small_float then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n, if m <= 10 then (array_complex_pole : glob_large_float, 1, 1 array_complex_pole : glob_large_float) 1, 2 elseif (!array_y_higher ! >= glob_large_float) ! 1, m! or (!array_y_higher ! >= glob_large_float) ! 1, m - 1! or (!array_y_higher ! >= glob_large_float) ! 1, m - 2! or (!array_y_higher ! >= glob_large_float) ! 1, m - 3! or (!array_y_higher ! >= glob_large_float) ! 1, m - 4! or (!array_y_higher ! >= glob_large_float) ! 1, m - 5! then (array_complex_pole : glob_large_float, 1, 1 array_complex_pole : glob_large_float) 1, 2 array_y_higher array_y_higher 1, m 1, m - 1 else (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 array_y_higher array_y_higher 1, m - 2 1, m - 3 rm2 : ----------------------, rm3 : ----------------------, array_y_higher array_y_higher 1, m - 3 1, m - 4 array_y_higher 1, m - 4 rm4 : ----------------------, nr1 : convfloat(m - 3) rm2 array_y_higher 1, m - 5 - 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0, nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1, - 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0 dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---, rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1 5.0 8.0 3.0 ds2 : --- - --- + ---, if (abs(nr1 dr2 - nr2 dr1) <= glob_small_float) rm4 rm3 rm2 or (abs(dr1) <= glob_small_float) then (array_complex_pole : 1, 1 glob_large_float, array_complex_pole : glob_large_float) 1, 2 else (if abs(nr1 dr2 - nr2 dr1) > glob_small_float dr1 dr2 - ds2 dr1 + ds1 dr2 then (rcs : ---------------------------, nr1 dr2 - nr2 dr1 rcs nr1 - ds1 convfloat(m) ord_no : ------------- - ------------, 2.0 dr1 2.0 if abs(rcs) > glob_small_float then (if rcs > 0.0 then rad_c : sqrt(rcs) glob_h else rad_c : glob_large_float) else (rad_c : glob_large_float, ord_no : glob_large_float)) else (rad_c : glob_large_float, ord_no : glob_large_float)), array_complex_pole : rad_c, 1, 1 array_complex_pole : ord_no), found : false, 1, 2 if (not found) and ((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole # glob_large_float) and (array_complex_pole # glob_large_float)) 1, 1 1, 2 and ((array_complex_pole > 0.0) and (array_complex_pole > 0.0)) 1, 1 1, 2 then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , found : true, array_type_pole : 2, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used")), if (not found) and ((array_real_pole # glob_large_float) and (array_real_pole # glob_large_float) 1, 1 1, 2 and (array_real_pole > 0.0) and (array_real_pole > 0.0) 1, 1 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float) or (array_complex_pole <= 0.0) or (array_complex_pole <= 0.0))) 1, 1 1, 2 1, 1 1, 2 then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found : true, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")), if (not found) and (((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float))) 1, 1 1, 2 then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 found : true, array_type_pole : 3, if glob_display_flag 1 then omniout_str(ALWAYS, "NO POLE")), if (not found) and ((array_real_pole < array_complex_pole ) 1, 1 1, 1 and (array_real_pole > 0.0) and (array_real_pole > 1, 1 1, 2 0.0)) then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found : true, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")), if (not found) and ((array_complex_pole # glob_large_float) 1, 1 and (array_complex_pole # glob_large_float) 1, 2 and (array_complex_pole > 0.0) and (array_complex_pole > 1, 1 1, 2 0.0)) then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , array_type_pole : 2, found : true, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used")), if not found then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 array_type_pole : 3, if glob_display_flag 1 then omniout_str(ALWAYS, "NO POLE")), array_pole : glob_large_float, 1 array_pole : glob_large_float, if array_pole > array_poles 2 1 1, 1 then (array_pole : array_poles , array_pole : array_poles ), 1 1, 1 2 1, 2 display_pole()) (%i7) get_norms() := if not glob_initial_pass then (set_z(array_norms, 1 + glob_max_terms), iii : 1, while iii <= glob_max_terms do (if !array_y ! > array_norms ! iii! iii then array_norms : !array_y !, iii : 1 + iii)) iii ! iii! (%o7) get_norms() := if not glob_initial_pass then (set_z(array_norms, 1 + glob_max_terms), iii : 1, while iii <= glob_max_terms do (if !array_y ! > array_norms ! iii! iii then array_norms : !array_y !, iii : 1 + iii)) iii ! iii! (%i8) atomall() := (array_tmp1 : sin(array_x ), 1 1 array_tmp1_g : cos(array_x ), array_tmp2 : array_tmp1 + array_const_0D0 , 1 1 1 1 1 if not array_y_set_initial then (if 1 <= glob_max_terms 1, 4 3 then (temporary : array_tmp2 glob_h factorial_3(0, 3), 1 array_y : temporary, array_y_higher : temporary, 4 1, 4 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 3 temporary 3.0 temporary : -------------, array_y_higher : temporary, glob_h 3, 2 temporary 4.0 temporary : -------------, array_y_higher : temporary)), kkk : 2, glob_h 4, 1 array_tmp1 : att(1, array_tmp1_g, array_x, 1), 2 array_tmp1_g : - att(1, array_tmp1, array_x, 1), 2 array_tmp2 : array_tmp1 + array_const_0D0 , 2 2 2 if not array_y_set_initial then (if 2 <= glob_max_terms 1, 5 3 then (temporary : array_tmp2 glob_h factorial_3(1, 4), 2 array_y : temporary, array_y_higher : temporary, 5 1, 5 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 4 temporary 3.0 temporary : -------------, array_y_higher : temporary, glob_h 3, 3 temporary 4.0 temporary : -------------, array_y_higher : temporary)), kkk : 3, glob_h 4, 2 array_tmp1 : att(2, array_tmp1_g, array_x, 1), 3 array_tmp1_g : - att(2, array_tmp1, array_x, 1), 3 array_tmp2 : array_tmp1 + array_const_0D0 , 3 3 3 if not array_y_set_initial then (if 3 <= glob_max_terms 1, 6 3 then (temporary : array_tmp2 glob_h factorial_3(2, 5), 3 array_y : temporary, array_y_higher : temporary, 6 1, 6 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 5 temporary 3.0 temporary : -------------, array_y_higher : temporary, glob_h 3, 4 temporary 4.0 temporary : -------------, array_y_higher : temporary)), kkk : 4, glob_h 4, 3 array_tmp1 : att(3, array_tmp1_g, array_x, 1), 4 array_tmp1_g : - att(3, array_tmp1, array_x, 1), 4 array_tmp2 : array_tmp1 + array_const_0D0 , 4 4 4 if not array_y_set_initial then (if 4 <= glob_max_terms 1, 7 3 then (temporary : array_tmp2 glob_h factorial_3(3, 6), 4 array_y : temporary, array_y_higher : temporary, 7 1, 7 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 6 temporary 3.0 temporary : -------------, array_y_higher : temporary, glob_h 3, 5 temporary 4.0 temporary : -------------, array_y_higher : temporary)), kkk : 5, glob_h 4, 4 array_tmp1 : att(4, array_tmp1_g, array_x, 1), 5 array_tmp1_g : - att(4, array_tmp1, array_x, 1), 5 array_tmp2 : array_tmp1 + array_const_0D0 , 5 5 5 if not array_y_set_initial then (if 5 <= glob_max_terms 1, 8 3 then (temporary : array_tmp2 glob_h factorial_3(4, 7), 5 array_y : temporary, array_y_higher : temporary, 8 1, 8 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 7 temporary 3.0 temporary : -------------, array_y_higher : temporary, glob_h 3, 6 temporary 4.0 temporary : -------------, array_y_higher : temporary)), kkk : 6, glob_h 4, 5 while kkk <= glob_max_terms do (array_tmp1 : kkk att(kkk - 1, array_tmp1_g, array_x, 1), array_tmp1_g : - att(kkk - 1, array_tmp1, array_x, 1), kkk array_tmp2 : array_tmp1 + array_const_0D0 , order_d : 3, kkk kkk kkk if 1 + order_d + kkk <= glob_max_terms then (if not array_y_set_initial 1, order_d + kkk order_d array_tmp2 glob_h kkk then (temporary : -----------------------------------------, factorial_3(kkk - 1, - 1 + order_d + kkk) array_y : temporary, array_y_higher : temporary, order_d + kkk 1, order_d + kkk term : - 1 + order_d + kkk, adj2 : 2, while (adj2 <= 1 + order_d) temporary convfp(adj2) and (term >= 1) do (temporary : ----------------------, glob_h array_y_higher : temporary, adj2 : 1 + adj2, term : term - 1))), adj2, term kkk : 1 + kkk)) (%o8) atomall() := (array_tmp1 : sin(array_x ), 1 1 array_tmp1_g : cos(array_x ), array_tmp2 : array_tmp1 + array_const_0D0 , 1 1 1 1 1 if not array_y_set_initial then (if 1 <= glob_max_terms 1, 4 3 then (temporary : array_tmp2 glob_h factorial_3(0, 3), 1 array_y : temporary, array_y_higher : temporary, 4 1, 4 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 3 temporary 3.0 temporary : -------------, array_y_higher : temporary, glob_h 3, 2 temporary 4.0 temporary : -------------, array_y_higher : temporary)), kkk : 2, glob_h 4, 1 array_tmp1 : att(1, array_tmp1_g, array_x, 1), 2 array_tmp1_g : - att(1, array_tmp1, array_x, 1), 2 array_tmp2 : array_tmp1 + array_const_0D0 , 2 2 2 if not array_y_set_initial then (if 2 <= glob_max_terms 1, 5 3 then (temporary : array_tmp2 glob_h factorial_3(1, 4), 2 array_y : temporary, array_y_higher : temporary, 5 1, 5 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 4 temporary 3.0 temporary : -------------, array_y_higher : temporary, glob_h 3, 3 temporary 4.0 temporary : -------------, array_y_higher : temporary)), kkk : 3, glob_h 4, 2 array_tmp1 : att(2, array_tmp1_g, array_x, 1), 3 array_tmp1_g : - att(2, array_tmp1, array_x, 1), 3 array_tmp2 : array_tmp1 + array_const_0D0 , 3 3 3 if not array_y_set_initial then (if 3 <= glob_max_terms 1, 6 3 then (temporary : array_tmp2 glob_h factorial_3(2, 5), 3 array_y : temporary, array_y_higher : temporary, 6 1, 6 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 5 temporary 3.0 temporary : -------------, array_y_higher : temporary, glob_h 3, 4 temporary 4.0 temporary : -------------, array_y_higher : temporary)), kkk : 4, glob_h 4, 3 array_tmp1 : att(3, array_tmp1_g, array_x, 1), 4 array_tmp1_g : - att(3, array_tmp1, array_x, 1), 4 array_tmp2 : array_tmp1 + array_const_0D0 , 4 4 4 if not array_y_set_initial then (if 4 <= glob_max_terms 1, 7 3 then (temporary : array_tmp2 glob_h factorial_3(3, 6), 4 array_y : temporary, array_y_higher : temporary, 7 1, 7 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 6 temporary 3.0 temporary : -------------, array_y_higher : temporary, glob_h 3, 5 temporary 4.0 temporary : -------------, array_y_higher : temporary)), kkk : 5, glob_h 4, 4 array_tmp1 : att(4, array_tmp1_g, array_x, 1), 5 array_tmp1_g : - att(4, array_tmp1, array_x, 1), 5 array_tmp2 : array_tmp1 + array_const_0D0 , 5 5 5 if not array_y_set_initial then (if 5 <= glob_max_terms 1, 8 3 then (temporary : array_tmp2 glob_h factorial_3(4, 7), 5 array_y : temporary, array_y_higher : temporary, 8 1, 8 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 7 temporary 3.0 temporary : -------------, array_y_higher : temporary, glob_h 3, 6 temporary 4.0 temporary : -------------, array_y_higher : temporary)), kkk : 6, glob_h 4, 5 while kkk <= glob_max_terms do (array_tmp1 : kkk att(kkk - 1, array_tmp1_g, array_x, 1), array_tmp1_g : - att(kkk - 1, array_tmp1, array_x, 1), kkk array_tmp2 : array_tmp1 + array_const_0D0 , order_d : 3, kkk kkk kkk if 1 + order_d + kkk <= glob_max_terms then (if not array_y_set_initial 1, order_d + kkk order_d array_tmp2 glob_h kkk then (temporary : -----------------------------------------, factorial_3(kkk - 1, - 1 + order_d + kkk) array_y : temporary, array_y_higher : temporary, order_d + kkk 1, order_d + kkk term : - 1 + order_d + kkk, adj2 : 2, while (adj2 <= 1 + order_d) temporary convfp(adj2) and (term >= 1) do (temporary : ----------------------, glob_h array_y_higher : temporary, adj2 : 1 + adj2, term : term - 1))), adj2, term kkk : 1 + kkk)) log(x) (%i9) log10(x) := --------- log(10.0) log(x) (%o9) log10(x) := --------- log(10.0) (%i10) omniout_str(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a~%", string(str)) (%o10) omniout_str(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a~%", string(str)) (%i11) omniout_str_noeol(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a", string(str)) (%o11) omniout_str_noeol(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a", string(str)) (%i12) omniout_labstr(iolevel, label, str) := if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label), string(str)) (%o12) omniout_labstr(iolevel, label, str) := if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label), string(str)) (%i13) omniout_float(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (if vallen = 4 then printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel) else printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel)) (%o13) omniout_float(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (if vallen = 4 then printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel) else printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel)) (%i14) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value, postlabel), newline()) (%o14) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value, postlabel), newline()) (%i15) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline()) (%o15) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline()) (%i16) dump_series(iolevel, dump_label, series_name, array_series, numb) := if glob_iolevel >= iolevel then (i : 1, while i <= numb do (sprint(dump_label, series_name, "i = ", i, "series = ", array_series ), newline(), i : 1 + i)) i (%o16) dump_series(iolevel, dump_label, series_name, array_series, numb) := if glob_iolevel >= iolevel then (i : 1, while i <= numb do (sprint(dump_label, series_name, "i = ", i, "series = ", array_series ), newline(), i : 1 + i)) i (%i17) dump_series_2(iolevel, dump_label, series_name, array_series2, numb, subnum) := if glob_iolevel >= iolevel then (sub : 1, while sub <= subnum do (i : 1, while i <= num do (sprint(dump_label, series_name, "sub = ", sub, "i = ", i, "series2 = ", array_series2 ), i : 1 + i), sub : 1 + sub)) sub, i (%o17) dump_series_2(iolevel, dump_label, series_name, array_series2, numb, subnum) := if glob_iolevel >= iolevel then (sub : 1, while sub <= subnum do (i : 1, while i <= num do (sprint(dump_label, series_name, "sub = ", sub, "i = ", i, "series2 = ", array_series2 ), i : 1 + i), sub : 1 + sub)) sub, i (%i18) cs_info(iolevel, str) := if glob_iolevel >= iolevel then sprint(concat("cs_info ", str, " glob_correct_start_flag = ", glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ", glob_reached_optimal_h)) (%o18) cs_info(iolevel, str) := if glob_iolevel >= iolevel then sprint(concat("cs_info ", str, " glob_correct_start_flag = ", glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ", glob_reached_optimal_h)) (%i19) logitem_time(fd, secs_in) := (secs : secs_in, printf(fd, ""), if secs >= 0.0 then (sec_in_millinium : sec_in_min min_in_hour hours_in_day days_in_year years_in_century secs centuries_in_millinium, milliniums : ----------------, sec_in_millinium millinium_int : floor(milliniums), centuries : (milliniums - millinium_int) centuries_in_millinium, cent_int : floor(centuries), years : (centuries - cent_int) years_in_century, years_int : floor(years), days : (years - years_int) days_in_year, days_int : floor(days), hours : (days - days_int) hours_in_day, hours_int : floor(hours), minutes : (hours - hours_int) min_in_hour, minutes_int : floor(minutes), seconds : (minutes - minutes_int) sec_in_min, sec_int : floor(seconds), if millinium_int > 0 then printf(fd, "~d Millinia ~d\ Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif cent_int > 0 then printf(fd, "~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0 then printf(fd, "~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(fd, "~d Days ~d Hours ~d Minutes ~d Seconds", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(fd, "~d Hours ~d Minutes ~d Seconds", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(fd, "~d Minutes ~d Seconds", minutes_int, sec_int) else printf(fd, "~d Seconds", sec_int)) else printf(fd, "Unknown"), printf(fd, "")) (%o19) logitem_time(fd, secs_in) := (secs : secs_in, printf(fd, ""), if secs >= 0.0 then (sec_in_millinium : sec_in_min min_in_hour hours_in_day days_in_year years_in_century secs centuries_in_millinium, milliniums : ----------------, sec_in_millinium millinium_int : floor(milliniums), centuries : (milliniums - millinium_int) centuries_in_millinium, cent_int : floor(centuries), years : (centuries - cent_int) years_in_century, years_int : floor(years), days : (years - years_int) days_in_year, days_int : floor(days), hours : (days - days_int) hours_in_day, hours_int : floor(hours), minutes : (hours - hours_int) min_in_hour, minutes_int : floor(minutes), seconds : (minutes - minutes_int) sec_in_min, sec_int : floor(seconds), if millinium_int > 0 then printf(fd, "~d Millinia ~d\ Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif cent_int > 0 then printf(fd, "~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0 then printf(fd, "~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(fd, "~d Days ~d Hours ~d Minutes ~d Seconds", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(fd, "~d Hours ~d Minutes ~d Seconds", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(fd, "~d Minutes ~d Seconds", minutes_int, sec_int) else printf(fd, "~d Seconds", sec_int)) else printf(fd, "Unknown"), printf(fd, "")) (%i20) omniout_timestr(secs_in) := (secs : convfloat(secs_in), if secs >= convfloat(0.0) then (sec_in_millinium : convfloat(sec_in_min) convfloat(min_in_hour) convfloat(hours_in_day) convfloat(days_in_year) convfloat(years_in_century) secs convfloat(centuries_in_millinium), milliniums : ---------------------------, convfloat(sec_in_millinium) millinium_int : floor(milliniums), centuries : (milliniums - millinium_int) convfloat(centuries_in_millinium), cent_int : floor(centuries), years : (centuries - cent_int) convfloat(years_in_century), years_int : floor(years), days : (years - years_int) convfloat(days_in_year), days_int : floor(days), hours : (days - days_int) convfloat(hours_in_day), hours_int : floor(hours), minutes : (hours - hours_int) convfloat(min_in_hour), minutes_int : floor(minutes), seconds : (minutes - minutes_int) convfloat(sec_in_min), sec_int : floor(seconds), if millinium_int > 0 then printf(true, "= ~d Millinia ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif cent_int > 0 then printf(true, "= ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0 then printf(true, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int) else printf(true, "= ~d Seconds~%", sec_int)) else printf(true, " Unknown~%")) (%o20) omniout_timestr(secs_in) := (secs : convfloat(secs_in), if secs >= convfloat(0.0) then (sec_in_millinium : convfloat(sec_in_min) convfloat(min_in_hour) convfloat(hours_in_day) convfloat(days_in_year) convfloat(years_in_century) secs convfloat(centuries_in_millinium), milliniums : ---------------------------, convfloat(sec_in_millinium) millinium_int : floor(milliniums), centuries : (milliniums - millinium_int) convfloat(centuries_in_millinium), cent_int : floor(centuries), years : (centuries - cent_int) convfloat(years_in_century), years_int : floor(years), days : (years - years_int) convfloat(days_in_year), days_int : floor(days), hours : (days - days_int) convfloat(hours_in_day), hours_int : floor(hours), minutes : (hours - hours_int) convfloat(min_in_hour), minutes_int : floor(minutes), seconds : (minutes - minutes_int) convfloat(sec_in_min), sec_int : floor(seconds), if millinium_int > 0 then printf(true, "= ~d Millinia ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif cent_int > 0 then printf(true, "= ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0 then printf(true, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int) else printf(true, "= ~d Seconds~%", sec_int)) else printf(true, " Unknown~%")) (%i21) mode_declare(ats, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o21) [ats] (%i22) ats(mmm_ats, array_a, array_b, jjj_ats) := (ret_ats : 0.0, if jjj_ats <= mmm_ats then (ma_ats : 1 + mmm_ats, iii_ats : jjj_ats, while iii_ats <= mmm_ats do (lll_ats : ma_ats - iii_ats, ret_ats : array_a array_b + ret_ats, iii_ats : 1 + iii_ats)), iii_ats lll_ats ret_ats) (%o22) ats(mmm_ats, array_a, array_b, jjj_ats) := (ret_ats : 0.0, if jjj_ats <= mmm_ats then (ma_ats : 1 + mmm_ats, iii_ats : jjj_ats, while iii_ats <= mmm_ats do (lll_ats : ma_ats - iii_ats, ret_ats : array_a array_b + ret_ats, iii_ats : 1 + iii_ats)), iii_ats lll_ats ret_ats) (%i23) mode_declare(att, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o23) [att] (%i24) att(mmm_att, array_aa, array_bb, jjj_att) := (ret_att : 0.0, if jjj_att <= mmm_att then (ma_att : 2 + mmm_att, iii_att : jjj_att, while iii_att <= mmm_att do (lll_att : ma_att - iii_att, al_att : lll_att - 1, if lll_att <= glob_max_terms then ret_att : array_aa array_bb convfp(al_att) + ret_att, iii_att lll_att ret_att iii_att : 1 + iii_att), ret_att : ---------------), ret_att) convfp(mmm_att) (%o24) att(mmm_att, array_aa, array_bb, jjj_att) := (ret_att : 0.0, if jjj_att <= mmm_att then (ma_att : 2 + mmm_att, iii_att : jjj_att, while iii_att <= mmm_att do (lll_att : ma_att - iii_att, al_att : lll_att - 1, if lll_att <= glob_max_terms then ret_att : array_aa array_bb convfp(al_att) + ret_att, iii_att lll_att ret_att iii_att : 1 + iii_att), ret_att : ---------------), ret_att) convfp(mmm_att) (%i25) display_pole() := if (array_pole # glob_large_float) 1 and (array_pole > 0.0) and (array_pole # glob_large_float) 1 2 and (array_pole > 0.0) and glob_display_flag 2 then (omniout_float(ALWAYS, "Radius of convergence ", 4, array_pole , 4, " "), omniout_float(ALWAYS, 1 "Order of pole ", 4, array_pole , 4, " ")) 2 (%o25) display_pole() := if (array_pole # glob_large_float) 1 and (array_pole > 0.0) and (array_pole # glob_large_float) 1 2 and (array_pole > 0.0) and glob_display_flag 2 then (omniout_float(ALWAYS, "Radius of convergence ", 4, array_pole , 4, " "), omniout_float(ALWAYS, 1 "Order of pole ", 4, array_pole , 4, " ")) 2 (%i26) logditto(file) := (printf(file, ""), printf(file, "ditto"), printf(file, "")) (%o26) logditto(file) := (printf(file, ""), printf(file, "ditto"), printf(file, "")) (%i27) logitem_integer(file, n) := (printf(file, ""), printf(file, "~d", n), printf(file, "")) (%o27) logitem_integer(file, n) := (printf(file, ""), printf(file, "~d", n), printf(file, "")) (%i28) logitem_str(file, str) := (printf(file, ""), printf(file, str), printf(file, "")) (%o28) logitem_str(file, str) := (printf(file, ""), printf(file, str), printf(file, "")) (%i29) log_revs(file, revs) := printf(file, revs) (%o29) log_revs(file, revs) := printf(file, revs) (%i30) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x), printf(file, "")) (%o30) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x), printf(file, "")) (%i31) logitem_pole(file, pole) := (printf(file, ""), if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real") elseif pole = 2 then printf(file, "Complex") else printf(file, "No Pole"), printf(file, "")) (%o31) logitem_pole(file, pole) := (printf(file, ""), if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real") elseif pole = 2 then printf(file, "Complex") else printf(file, "No Pole"), printf(file, "")) (%i32) logstart(file) := printf(file, "") (%o32) logstart(file) := printf(file, "") (%i33) logend(file) := printf(file, "~%") (%o33) logend(file) := printf(file, "~%") (%i34) chk_data() := (errflag : false, if (glob_max_terms < 15) or (glob_max_terms > 512) then (omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"), glob_max_terms : 30), if glob_max_iter < 2 then (omniout_str(ALWAYS, "Illegal max_iter"), errflag : true), if errflag then quit()) (%o34) chk_data() := (errflag : false, if (glob_max_terms < 15) or (glob_max_terms > 512) then (omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"), glob_max_terms : 30), if glob_max_iter < 2 then (omniout_str(ALWAYS, "Illegal max_iter"), errflag : true), if errflag then quit()) (%i35) mode_declare(comp_expect_sec, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o35) [comp_expect_sec] (%i36) comp_expect_sec(t_end2, t_start2, t2, clock_sec) := (ms2 : clock_sec, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, if sub1 = 0.0 then sec_left : 0.0 else (if abs(sub2) > 0.0 sub1 then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left) sub2 (%o36) comp_expect_sec(t_end2, t_start2, t2, clock_sec) := (ms2 : clock_sec, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, if sub1 = 0.0 then sec_left : 0.0 else (if abs(sub2) > 0.0 sub1 then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left) sub2 (%i37) mode_declare(comp_percent, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o37) [comp_percent] (%i38) comp_percent(t_end2, t_start2, t2) := (sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, 100.0 sub2 if abs(sub2) > glob_small_float then rrr : ---------- else rrr : 0.0, rrr) sub1 (%o38) comp_percent(t_end2, t_start2, t2) := (sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, 100.0 sub2 if abs(sub2) > glob_small_float then rrr : ---------- else rrr : 0.0, rrr) sub1 (%i39) 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) := 1.0 - sin(x) (%o47) exact_soln_y(x) := 1.0 - sin(x) (%i48) exact_soln_yp(x) := - cos(x) (%o48) exact_soln_yp(x) := - cos(x) (%i49) exact_soln_ypp(x) := sin(x) (%o49) exact_soln_ypp(x) := sin(x) (%i50) mainprog() := (define_variable(DEBUGL, 3, fixnum), define_variable(glob_max_terms, 30, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(INFO, 2, fixnum), define_variable(glob_iolevel, 5, fixnum), define_variable(glob_log10abserr, 0.0, float), define_variable(glob_dump_analytic, false, boolean), define_variable(glob_disp_incr, 0.1, float), define_variable(min_in_hour, 60.0, float), define_variable(glob_display_flag, true, boolean), define_variable(glob_start, 0, fixnum), define_variable(glob_optimal_done, false, boolean), define_variable(djd_debug2, true, boolean), define_variable(djd_debug, true, boolean), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_max_hours, 0.0, float), define_variable(glob_hmin_init, 0.001, float), define_variable(glob_reached_optimal_h, false, boolean), define_variable(sec_in_min, 60.0, float), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_optimal_clock_start_sec, 0.0, float), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(glob_not_yet_finished, true, boolean), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_warned, false, boolean), define_variable(glob_no_eqs, 0, fixnum), define_variable(glob_abserr, 1.0E-11, float), define_variable(glob_initial_pass, true, boolean), define_variable(centuries_in_millinium, 10.0, float), define_variable(glob_max_minutes, 0.0, float), define_variable(glob_warned2, false, boolean), define_variable(glob_small_float, 1.0E-51, float), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_h, 0.1, float), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(glob_clock_sec, 0.0, float), define_variable(years_in_century, 100.0, float), define_variable(hours_in_day, 24.0, float), define_variable(glob_current_iter, 0, fixnum), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_relerr, 1.0E-11, float), define_variable(glob_large_float, 9.0E+100, float), define_variable(glob_hmin, 1.0E-11, float), define_variable(glob_almost_1, 0.999, float), define_variable(glob_iter, 0, fixnum), define_variable(glob_smallish_float, 1.0E-101, float), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_clock_start_sec, 0.0, float), define_variable(glob_dump, false, boolean), define_variable(glob_log10relerr, 0.0, float), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_log10_relerr, 1.0E-11, float), define_variable(glob_html_log, true, boolean), define_variable(glob_percent_done, 0.0, float), define_variable(glob_normmax, 0.0, float), define_variable(glob_max_sec, 10000.0, float), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_log10_abserr, 1.0E-11, float), define_variable(glob_look_poles, false, boolean), define_variable(glob_hmax, 1.0, float), define_variable(days_in_year, 365.0, float), define_variable(glob_log10normmin, 0.1, float), define_variable(glob_subiter_method, 3, fixnum), define_variable(glob_last_good_h, 0.1, float), ALWAYS : 1, INFO : 2, DEBUGL : 3, DEBUGMASSIVE : 4, glob_iolevel : INFO, glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10, glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1, glob_iter : - 1, opt_iter : - 1, glob_max_iter : 50000, glob_max_hours : 0.0, glob_max_minutes : 15.0, omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"), omniout_str(ALWAYS, "##############temp/h3sinpostode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 3 ) = sin(x);"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits : 50,"), omniout_str(ALWAYS, "max_terms : 30,"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "x_start : 0.1,"), omniout_str(ALWAYS, "x_end : 5.0 ,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS, "array_y_init[1 + 1] : exact_soln_yp(x_start),"), omniout_str(ALWAYS, "array_y_init[2 + 1] : exact_soln_ypp(x_start),"), omniout_str(ALWAYS, "glob_h : 0.00001,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 20,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_h : 0.001 ,"), 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, "1.0 - sin(x) "), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, "exact_soln_yp (x) := ("), omniout_str(ALWAYS, "-cos(x) "), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, "exact_soln_ypp (x) := ("), omniout_str(ALWAYS, "sin(x) "), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, "/* END USER DEF BLOCK */"), omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"), glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false, glob_small_float : 1.0E-200, glob_smallish_float : 1.0E-64, glob_large_float : 1.0E+100, glob_almost_1 : 0.99, glob_log10_abserr : - 8.0, glob_log10_relerr : - 8.0, glob_hmax : 0.01, Digits : 50, max_terms : 30, glob_max_terms : max_terms, glob_html_log : true, array(array_m1, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_1st_rel_error, 1 + max_terms), array(array_pole, 1 + max_terms), array(array_tmp1_g, 1 + max_terms), array(array_y_init, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms), array(array_fact_1, 1 + max_terms), array(array_type_pole, 1 + max_terms), array(array_real_pole, 1 + 1, 1 + 3), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_poles, 1 + 1, 1 + 3), array(array_y_higher, 1 + 4, 1 + max_terms), array(array_complex_pole, 1 + 1, 1 + 3), array(array_y_higher_work2, 1 + 4, 1 + max_terms), array(array_y_higher_work, 1 + 4, 1 + max_terms), array(array_fact_2, 1 + max_terms, 1 + max_terms), term : 1, while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_norms : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_y : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_x : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_last_rel_error : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_1st_rel_error : 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_tmp1_g : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_y_init : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_tmp0 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_tmp1 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_tmp2 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_fact_1 : 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_real_pole : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_set_initial : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 4 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_complex_pole : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 4 do (term : 1, while term <= max_terms do (array_y_higher_work2 : 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_work : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= max_terms do (term : 1, while term <= max_terms do (array_fact_2 : 0.0, term : 1 + term), ord, term ord : 1 + ord), array(array_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_tmp1_g, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1_g : 0.0, term : 1 + term), term array(array_tmp2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term), term array(array_tmp1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term), term array(array_tmp0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term), term array(array_const_3, 1 + 1 + max_terms), term : 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 : 1.0E-5, 1 + 2 glob_look_poles : true, glob_max_iter : 20, 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 ) = sin(x);"), omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "), prog_report(x_start, x_end), if glob_html_log then (logstart(html_log_file), logitem_str(html_log_file, "2012-06-16T22:21:28-05:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "h3sin"), logitem_str(html_log_file, "diff ( y , x , 3 ) = sin(x);"), logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end), logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h), 1 logitem_str(html_log_file, "16"), logitem_integer(html_log_file, glob_max_terms), logitem_float(html_log_file, array_1st_rel_error ), 1 logitem_float(html_log_file, array_last_rel_error ), 1 logitem_integer(html_log_file, glob_iter), logitem_pole(html_log_file, array_type_pole ), 1 if (array_type_pole = 1) or (array_type_pole = 2) 1 1 then (logitem_float(html_log_file, array_pole ), 1 logitem_float(html_log_file, array_pole ), 0) 2 else (logitem_str(html_log_file, "NA"), logitem_str(html_log_file, "NA"), 0), logitem_time(html_log_file, convfloat(glob_clock_sec)), if glob_percent_done < 100.0 then (logitem_time(html_log_file, convfloat(glob_optimal_expect_sec)), 0) else (logitem_str(html_log_file, "Done"), 0), log_revs(html_log_file, " 091 "), logitem_str(html_log_file, "h3sin diffeq.max"), logitem_str(html_log_file, "h3sin maxima results"), logitem_str(html_log_file, "Test of revised logic - mostly for speeding factorials"), logend(html_log_file)), if glob_html_log then close(html_log_file)) (%o50) mainprog() := (define_variable(DEBUGL, 3, fixnum), define_variable(glob_max_terms, 30, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(INFO, 2, fixnum), define_variable(glob_iolevel, 5, fixnum), define_variable(glob_log10abserr, 0.0, float), define_variable(glob_dump_analytic, false, boolean), define_variable(glob_disp_incr, 0.1, float), define_variable(min_in_hour, 60.0, float), define_variable(glob_display_flag, true, boolean), define_variable(glob_start, 0, fixnum), define_variable(glob_optimal_done, false, boolean), define_variable(djd_debug2, true, boolean), define_variable(djd_debug, true, boolean), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_max_hours, 0.0, float), define_variable(glob_hmin_init, 0.001, float), define_variable(glob_reached_optimal_h, false, boolean), define_variable(sec_in_min, 60.0, float), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_optimal_clock_start_sec, 0.0, float), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(glob_not_yet_finished, true, boolean), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_warned, false, boolean), define_variable(glob_no_eqs, 0, fixnum), define_variable(glob_abserr, 1.0E-11, float), define_variable(glob_initial_pass, true, boolean), define_variable(centuries_in_millinium, 10.0, float), define_variable(glob_max_minutes, 0.0, float), define_variable(glob_warned2, false, boolean), define_variable(glob_small_float, 1.0E-51, float), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_h, 0.1, float), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(glob_clock_sec, 0.0, float), define_variable(years_in_century, 100.0, float), define_variable(hours_in_day, 24.0, float), define_variable(glob_current_iter, 0, fixnum), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_relerr, 1.0E-11, float), define_variable(glob_large_float, 9.0E+100, float), define_variable(glob_hmin, 1.0E-11, float), define_variable(glob_almost_1, 0.999, float), define_variable(glob_iter, 0, fixnum), define_variable(glob_smallish_float, 1.0E-101, float), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_clock_start_sec, 0.0, float), define_variable(glob_dump, false, boolean), define_variable(glob_log10relerr, 0.0, float), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_log10_relerr, 1.0E-11, float), define_variable(glob_html_log, true, boolean), define_variable(glob_percent_done, 0.0, float), define_variable(glob_normmax, 0.0, float), define_variable(glob_max_sec, 10000.0, float), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_log10_abserr, 1.0E-11, float), define_variable(glob_look_poles, false, boolean), define_variable(glob_hmax, 1.0, float), define_variable(days_in_year, 365.0, float), define_variable(glob_log10normmin, 0.1, float), define_variable(glob_subiter_method, 3, fixnum), define_variable(glob_last_good_h, 0.1, float), ALWAYS : 1, INFO : 2, DEBUGL : 3, DEBUGMASSIVE : 4, glob_iolevel : INFO, glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10, glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1, glob_iter : - 1, opt_iter : - 1, glob_max_iter : 50000, glob_max_hours : 0.0, glob_max_minutes : 15.0, omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"), omniout_str(ALWAYS, "##############temp/h3sinpostode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 3 ) = sin(x);"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits : 50,"), omniout_str(ALWAYS, "max_terms : 30,"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "x_start : 0.1,"), omniout_str(ALWAYS, "x_end : 5.0 ,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS, "array_y_init[1 + 1] : exact_soln_yp(x_start),"), omniout_str(ALWAYS, "array_y_init[2 + 1] : exact_soln_ypp(x_start),"), omniout_str(ALWAYS, "glob_h : 0.00001,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 20,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_h : 0.001 ,"), 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, "1.0 - sin(x) "), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, "exact_soln_yp (x) := ("), omniout_str(ALWAYS, "-cos(x) "), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, "exact_soln_ypp (x) := ("), omniout_str(ALWAYS, "sin(x) "), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, "/* END USER DEF BLOCK */"), omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"), glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false, glob_small_float : 1.0E-200, glob_smallish_float : 1.0E-64, glob_large_float : 1.0E+100, glob_almost_1 : 0.99, glob_log10_abserr : - 8.0, glob_log10_relerr : - 8.0, glob_hmax : 0.01, Digits : 50, max_terms : 30, glob_max_terms : max_terms, glob_html_log : true, array(array_m1, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_1st_rel_error, 1 + max_terms), array(array_pole, 1 + max_terms), array(array_tmp1_g, 1 + max_terms), array(array_y_init, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms), array(array_fact_1, 1 + max_terms), array(array_type_pole, 1 + max_terms), array(array_real_pole, 1 + 1, 1 + 3), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_poles, 1 + 1, 1 + 3), array(array_y_higher, 1 + 4, 1 + max_terms), array(array_complex_pole, 1 + 1, 1 + 3), array(array_y_higher_work2, 1 + 4, 1 + max_terms), array(array_y_higher_work, 1 + 4, 1 + max_terms), array(array_fact_2, 1 + max_terms, 1 + max_terms), term : 1, while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_norms : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_y : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_x : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_last_rel_error : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_1st_rel_error : 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_tmp1_g : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_y_init : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_tmp0 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_tmp1 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_tmp2 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_fact_1 : 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_real_pole : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_set_initial : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 4 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_complex_pole : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 4 do (term : 1, while term <= max_terms do (array_y_higher_work2 : 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_work : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= max_terms do (term : 1, while term <= max_terms do (array_fact_2 : 0.0, term : 1 + term), ord, term ord : 1 + ord), array(array_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_tmp1_g, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1_g : 0.0, term : 1 + term), term array(array_tmp2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term), term array(array_tmp1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term), term array(array_tmp0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term), term array(array_const_3, 1 + 1 + max_terms), term : 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 : 1.0E-5, 1 + 2 glob_look_poles : true, glob_max_iter : 20, 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 ) = sin(x);"), omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "), prog_report(x_start, x_end), if glob_html_log then (logstart(html_log_file), logitem_str(html_log_file, "2012-06-16T22:21:28-05:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "h3sin"), logitem_str(html_log_file, "diff ( y , x , 3 ) = sin(x);"), logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end), logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h), 1 logitem_str(html_log_file, "16"), logitem_integer(html_log_file, glob_max_terms), logitem_float(html_log_file, array_1st_rel_error ), 1 logitem_float(html_log_file, array_last_rel_error ), 1 logitem_integer(html_log_file, glob_iter), logitem_pole(html_log_file, array_type_pole ), 1 if (array_type_pole = 1) or (array_type_pole = 2) 1 1 then (logitem_float(html_log_file, array_pole ), 1 logitem_float(html_log_file, array_pole ), 0) 2 else (logitem_str(html_log_file, "NA"), logitem_str(html_log_file, "NA"), 0), logitem_time(html_log_file, convfloat(glob_clock_sec)), if glob_percent_done < 100.0 then (logitem_time(html_log_file, convfloat(glob_optimal_expect_sec)), 0) else (logitem_str(html_log_file, "Done"), 0), log_revs(html_log_file, " 091 "), logitem_str(html_log_file, "h3sin diffeq.max"), logitem_str(html_log_file, "h3sin maxima results"), logitem_str(html_log_file, "Test of revised logic - mostly for speeding factorials"), logend(html_log_file)), if glob_html_log then close(html_log_file)) (%i51) mainprog() "##############ECHO OF PROBLEM#################" "##############temp/h3sinpostode.ode#################" "diff ( y , x , 3 ) = sin(x);" "!" "/* BEGIN FIRST INPUT BLOCK */" "Digits : 50," "max_terms : 30," "!" "/* END FIRST INPUT BLOCK */" "/* BEGIN SECOND INPUT BLOCK */" "x_start : 0.1," "x_end : 5.0 ," "array_y_init[0 + 1] : exact_soln_y(x_start)," "array_y_init[1 + 1] : exact_soln_yp(x_start)," "array_y_init[2 + 1] : exact_soln_ypp(x_start)," "glob_h : 0.00001," "glob_look_poles : true," "glob_max_iter : 20," "/* END SECOND INPUT BLOCK */" "/* BEGIN OVERRIDE BLOCK */" "glob_h : 0.001 ," "glob_look_poles : true," "glob_max_iter : 1000," "glob_max_minutes : 15," "/* END OVERRIDE BLOCK */" "!" "/* BEGIN USER DEF BLOCK */" "exact_soln_y (x) := (" "1.0 - sin(x) " ");" "exact_soln_yp (x) := (" "-cos(x) " ");" "exact_soln_ypp (x) := (" "sin(x) " ");" "/* END USER DEF BLOCK */" "#######END OF ECHO OF PROBLEM#################" "START of Soultion" x[1] = 0.1 " " y[1] (analytic) = 0.9001665833531718 " " y[1] (numeric) = 0.9001665833531718 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.101 " " y[1] (analytic) = 0.899171629270432 " " y[1] (numeric) = 0.8991716291212825 " " absolute error = 1.49149581574192780000000000E-10 " " relative error = 1.65874430107641900000000E-8 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10200000000000001 " " y[1] (analytic) = 0.8981767760160545 " " y[1] (numeric) = 0.8981767748232236 " " absolute error = 1.1928309451292307000000000E-9 " " relative error = 1.3280581027936860000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10300000000000001 " " y[1] (analytic) = 0.8971820245848925 " " y[1] (numeric) = 0.8971820205603209 " " absolute error = 4.024571564897883000000000E-9 " " relative error = 4.48579157251837400000000E-7 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10400000000000001 " " y[1] (analytic) = 0.8961873759716973 " " y[1] (numeric) = 0.8961873664348952 " " absolute error = 9.536802125786892000000000E-9 " " relative error = 1.0641526963539906000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10500000000000001 " " y[1] (analytic) = 0.8951928311711175 " " y[1] (numeric) = 0.8951928125502615 " " absolute error = 1.86208559682654600000000E-8 " " relative error = 2.080094401996619200000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10600000000000001 " " y[1] (analytic) = 0.8941983911776978 " " y[1] (numeric) = 0.89419835901073 " " absolute error = 3.21669678671199200000000E-8 " " relative error = 3.597296549007949000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10700000000000001 " " y[1] (analytic) = 0.8932040569858781 " " y[1] (numeric) = 0.8932040059216049 " " absolute error = 5.10642732542976300000000E-8 " " relative error = 5.716977308255216000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10800000000000001 " " y[1] (analytic) = 0.8922098295899925 " " y[1] (numeric) = 0.892209753389185 " " absolute error = 7.62008075527731400000000E-8 " " relative error = 8.540682362554847000000E-6 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10900000000000001 " " y[1] (analytic) = 0.8912157099842684 " " y[1] (numeric) = 0.8912156015207633 " " absolute error = 1.08463505066325180000000E-7 " " relative error = 1.217028648072639600000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11000000000000001 " " y[1] (analytic) = 0.8902216991628251 " " y[1] (numeric) = 0.8902215504246271 " " absolute error = 1.48738197980335940000000E-7 " " relative error = 1.670799511180316700000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11100000000000002 " " y[1] (analytic) = 0.8892277981196737 " " y[1] (numeric) = 0.8892276002100578 " " absolute error = 1.97909615917701840000000E-7 " " relative error = 2.225634604948178200000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11200000000000002 " " y[1] (analytic) = 0.8882340078487148 " " y[1] (numeric) = 0.8882337509873305 " " absolute error = 2.56861384273499000000000E-7 " " relative error = 2.891821096735670000000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11300000000000002 " " y[1] (analytic) = 0.8872403293437388 " " y[1] (numeric) = 0.8872400028677143 " " absolute error = 3.26476024437027950000000E-7 " " relative error = 3.67967971742798300000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11400000000000002 " " y[1] (analytic) = 0.886246763598424 " " y[1] (numeric) = 0.8862463559634721 " " absolute error = 4.0763495190443420000000E-7 " " relative error = 4.59956491405752200000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11500000000000002 " " y[1] (analytic) = 0.8852533116063361 " " y[1] (numeric) = 0.8852528103878604 " " absolute error = 5.0121847572359710000000E-7 " " relative error = 5.66186501820717600000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11600000000000002 " " y[1] (analytic) = 0.8842599743609272 " " y[1] (numeric) = 0.884259366255129 " " absolute error = 6.0810579816106270000000E-7 " " relative error = 6.87700241776241400000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11700000000000002 " " y[1] (analytic) = 0.8832667528555341 " " y[1] (numeric) = 0.8832660236805214 " " absolute error = 7.2917501270364230000000E-7 " " relative error = 8.25543371066866300000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11800000000000002 " " y[1] (analytic) = 0.8822736480833785 " " y[1] (numeric) = 0.8822727827802742 " " absolute error = 8.6530310428045710000000E-7 " " relative error = 9.80764988459320300000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11900000000000002 " " y[1] (analytic) = 0.8812806610375651 " " y[1] (numeric) = 0.8812796436716172 " " absolute error = 1.0173659479306707000000E-6 " " relative error = 1.1544176479861560000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12000000000000002 " " y[1] (analytic) = 0.8802877927110806 " " y[1] (numeric) = 0.8802866064727731 " " absolute error = 1.1862383074712213000000E-6 " " relative error = 1.34755737531913800000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12100000000000002 " " y[1] (analytic) = 0.8792950440967935 " " y[1] (numeric) = 0.879293671302958 " " absolute error = 1.3727938354968217000000E-6 " " relative error = 1.56124368573798470000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12200000000000003 " " y[1] (analytic) = 0.8783024161874522 " " y[1] (numeric) = 0.8783008382823801 " " absolute error = 1.5779050720476917000000E-6 " " relative error = 1.7965396006731768000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12300000000000003 " " y[1] (analytic) = 0.8773099099756847 " " y[1] (numeric) = 0.877308107532241 " " absolute error = 1.8024434437213800000000E-6 " " relative error = 2.05451166483613080000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12400000000000003 " " y[1] (analytic) = 0.8763175264539969 " " y[1] (numeric) = 0.8763154791747343 " " absolute error = 2.0472792625625402000000E-6 " " relative error = 2.33622996318106180000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12500000000000003 " " y[1] (analytic) = 0.8753252666147723 " " y[1] (numeric) = 0.8753229533330464 " " absolute error = 2.3132817258408878000000E-6 " " relative error = 2.64276813896536960000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12600000000000003 " " y[1] (analytic) = 0.8743331314502707 " " y[1] (numeric) = 0.874330530131356 " " absolute error = 2.601318914718931000000E-6 " " relative error = 2.9752034106314610000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12700000000000003 " " y[1] (analytic) = 0.8733411219526273 " " y[1] (numeric) = 0.8733382096948337 " " absolute error = 2.9122577935858374000000E-6 " " relative error = 3.3346165895344240000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12800000000000003 " " y[1] (analytic) = 0.8723492391138512 " " y[1] (numeric) = 0.8723459921496424 " " absolute error = 3.2469642088361894000000E-6 " " relative error = 3.72209209712215300000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12900000000000003 " " y[1] (analytic) = 0.8713574839258255 " " y[1] (numeric) = 0.871353877622937 " " absolute error = 3.606302888425894000000E-6 " " relative error = 4.13871798309232400000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13000000000000003 " " y[1] (analytic) = 0.8703658573803051 " " y[1] (numeric) = 0.8703618662428642 " " absolute error = 3.991137440984005000000E-6 " " relative error = 4.5855859431306750000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13100000000000003 " " y[1] (analytic) = 0.8693743604689166 " " y[1] (numeric) = 0.8693699581385621 " " absolute error = 4.402330354480455000000E-6 " " relative error = 5.0637913362270760000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13200000000000003 " " y[1] (analytic) = 0.8683829941831567 " " y[1] (numeric) = 0.8683781534401608 " " absolute error = 4.840742995892988000000E-6 " " relative error = 5.574433203227830000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13300000000000003 " " y[1] (analytic) = 0.8673917595143915 " " y[1] (numeric) = 0.8673864522787815 " " absolute error = 5.307235609985916000000E-6 " " relative error = 6.1186142844580030000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13400000000000004 " " y[1] (analytic) = 0.8664006574538559 " " y[1] (numeric) = 0.866394854786537 " " absolute error = 5.802667318866028000000E-6 " " relative error = 6.6974410383282470000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13500000000000004 " " y[1] (analytic) = 0.8654096889926517 " " y[1] (numeric) = 0.8654033610965309 " " absolute error = 6.327896120761345000000E-6 " " relative error = 7.3120236591377890000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13600000000000004 " " y[1] (analytic) = 0.8644188551217472 " " y[1] (numeric) = 0.8644119713428581 " " absolute error = 6.883778889132941000000E-6 " " relative error = 7.9634760953512640000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13700000000000004 " " y[1] (analytic) = 0.8634281568319764 " " y[1] (numeric) = 0.8634206856606043 " " absolute error = 7.471171372119834000000E-6 " " relative error = 8.6529160683530140000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13800000000000004 " " y[1] (analytic) = 0.8624375951140373 " " y[1] (numeric) = 0.862429504185846 " " absolute error = 8.090928191317737000000E-6 " " relative error = 9.3814650905239130000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13900000000000004 " " y[1] (analytic) = 0.8614471709584917 " " y[1] (numeric) = 0.8614384270556503 " " absolute error = 8.743902841334972000000E-6 " " relative error = 1.015024848431047000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14000000000000004 " " y[1] (analytic) = 0.8604568853557635 " " y[1] (numeric) = 0.8604474544080749 " " absolute error = 9.430947688571223000000E-6 " " relative error = 1.0960395400487631000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14100000000000004 " " y[1] (analytic) = 0.8594667392961384 " " y[1] (numeric) = 0.8594565863821678 " " absolute error = 1.015291397055140300000E-5 " " relative error = 1.1813038837158664000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14200000000000004 " " y[1] (analytic) = 0.8584767337697622 " " y[1] (numeric) = 0.858465823117967 " " absolute error = 1.091065179514849600000E-5 " " relative error = 1.270931565872192900E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14300000000000004 " " y[1] (analytic) = 0.8574868697666405 " " y[1] (numeric) = 0.857475164756501 " " absolute error = 1.170501013947333700000E-5 " " relative error = 1.3650366614545106000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14400000000000004 " " y[1] (analytic) = 0.8564971482766371 " " y[1] (numeric) = 0.8564846114397878 " " absolute error = 1.2536836849319500000E-5 " " relative error = 1.4637336358381275000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14500000000000005 " " y[1] (analytic) = 0.8555075702894736 " " y[1] (numeric) = 0.8554941633108355 " " absolute error = 1.340697863805307000000E-5 " " relative error = 1.5671373467234920000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14600000000000005 " " y[1] (analytic) = 0.8545181367947277 " " y[1] (numeric) = 0.8545038205136417 " " absolute error = 1.431628108594651400000E-5 " " relative error = 1.6753630460842484000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14700000000000005 " " y[1] (analytic) = 0.8535288487818328 " " y[1] (numeric) = 0.8535135831931936 " " absolute error = 1.526558863917948400000E-5 " " relative error = 1.7885263820861738000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14800000000000005 " " y[1] (analytic) = 0.852539707240077 " " y[1] (numeric) = 0.8525234514954676 " " absolute error = 1.625574460939471800000E-5 " " relative error = 1.9067434010809148000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14900000000000005 " " y[1] (analytic) = 0.8515507131586016 " " y[1] (numeric) = 0.8515334255674295 " " absolute error = 1.728759117214373500000E-5 " " relative error = 2.0301305494795485000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15000000000000005 " " y[1] (analytic) = 0.8505618675264007 " " y[1] (numeric) = 0.8505435055570341 " " absolute error = 1.836196936666478800000E-5 " " relative error = 2.1588046757921284000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15100000000000005 " " y[1] (analytic) = 0.8495731713323198 " " y[1] (numeric) = 0.849553691613225 " " absolute error = 1.94797190947726400000E-5 " " relative error = 2.292883032573181000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15200000000000005 " " y[1] (analytic) = 0.8485846255650551 " " y[1] (numeric) = 0.8485639838859349 " " absolute error = 2.064167912019243500000E-5 " " relative error = 2.4324832784293685000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15300000000000005 " " y[1] (analytic) = 0.8475962312131522 " " y[1] (numeric) = 0.8475743825260847 " " absolute error = 2.184868706744946800000E-5 " " relative error = 2.577723479985011300E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15400000000000005 " " y[1] (analytic) = 0.8466079892650054 " " y[1] (numeric) = 0.8465848876855842 " " absolute error = 2.310157942120305600000E-5 " " relative error = 2.7287221139100065000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15500000000000005 " " y[1] (analytic) = 0.8456199007088565 " " y[1] (numeric) = 0.8455954995173309 " " absolute error = 2.4401191525580400000E-5 " " relative error = 2.885598068958128000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15600000000000006 " " y[1] (analytic) = 0.844631966532794 " " y[1] (numeric) = 0.8446062181752112 " " absolute error = 2.574835758284433000000E-5 " " relative error = 3.0484706479368856000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15700000000000006 " " y[1] (analytic) = 0.8436441877247521 " " y[1] (numeric) = 0.8436170438140991 " " absolute error = 2.71439106530602100000E-5 " " relative error = 3.217459569805772300E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15800000000000006 " " y[1] (analytic) = 0.8426565652725094 " " y[1] (numeric) = 0.8426279765898563 " " absolute error = 2.858868265309677500000E-5 " " relative error = 3.392684971706283000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15900000000000006 " " y[1] (analytic) = 0.8416691001636885 " " y[1] (numeric) = 0.8416390166593327 " " absolute error = 3.008350435573792000000E-5 " " relative error = 3.5742674110154765000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16000000000000006 " " y[1] (analytic) = 0.840681793385754 " " y[1] (numeric) = 0.8406501641803654 " " absolute error = 3.1629205388572500000E-5 " " relative error = 3.762327867383607000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16100000000000006 " " y[1] (analytic) = 0.8396946459260128 " " y[1] (numeric) = 0.839661419311779 " " absolute error = 3.32266142338832900000E-5 " " relative error = 3.956987744901133000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16200000000000006 " " y[1] (analytic) = 0.8387076587716125 " " y[1] (numeric) = 0.838672782213385 " " absolute error = 3.48765582274257470000E-5 " " relative error = 4.158368874144613400E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16300000000000006 " " y[1] (analytic) = 0.8377208329095399 " " y[1] (numeric) = 0.8376842530459826 " " absolute error = 3.65798635573177930000E-5 " " relative error = 4.366593514246269000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16400000000000006 " " y[1] (analytic) = 0.8367341693266209 " " y[1] (numeric) = 0.8366958319713573 " " absolute error = 3.83373552635957200000E-5 " " relative error = 4.581784355053708000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16500000000000006 " " y[1] (analytic) = 0.8357476690095189 " " y[1] (numeric) = 0.8357075191522818 " " absolute error = 4.01498572371039600000E-5 " " relative error = 4.804064519221132000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16600000000000006 " " y[1] (analytic) = 0.8347613329447343 " " y[1] (numeric) = 0.834719314752515 " " absolute error = 4.201819221927305400000E-5 " " relative error = 5.033557564417623000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16700000000000007 " " y[1] (analytic) = 0.8337751621186029 " " y[1] (numeric) = 0.8337312189368026 " " absolute error = 4.39431818003432900000E-5 " " relative error = 5.270387485360527000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16800000000000007 " " y[1] (analytic) = 0.8327891575172957 " " y[1] (numeric) = 0.8327432318708761 " " absolute error = 4.59256464195867400000E-5 " " relative error = 5.514678716099031000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16900000000000007 " " y[1] (analytic) = 0.8318033201268169 " " y[1] (numeric) = 0.8317553537214535 " " absolute error = 4.796640536341989500000E-5 " " relative error = 5.7665561320561840000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17000000000000007 " " y[1] (analytic) = 0.8308176509330039 " " y[1] (numeric) = 0.8307675846562385 " " absolute error = 5.00662767654036500000E-5 " " relative error = 6.026145052308348000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17100000000000007 " " y[1] (analytic) = 0.829832150921526 " " y[1] (numeric) = 0.8297799248439206 " " absolute error = 5.22260776053551400000E-5 " " relative error = 6.293571241769584000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17200000000000007 " " y[1] (analytic) = 0.8288468210778829 " " y[1] (numeric) = 0.828792374454175 " " absolute error = 5.44466237079044300000E-5 " " relative error = 6.5689609133203550000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17300000000000007 " " y[1] (analytic) = 0.8278616623874044 " " y[1] (numeric) = 0.8278049336576622 " " absolute error = 5.6728729742272500000E-5 " " relative error = 6.8524407300945690000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17400000000000007 " " y[1] (analytic) = 0.8268766758352494 " " y[1] (numeric) = 0.8268176026260279 " " absolute error = 5.90732092214940600000E-5 " " relative error = 7.144137807711494000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17500000000000007 " " y[1] (analytic) = 0.825891862406404 " " y[1] (numeric) = 0.8258303815319029 " " absolute error = 6.1480874501085300000E-5 " " relative error = 7.4441797164520140000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17600000000000007 " " y[1] (analytic) = 0.8249072230856817 " " y[1] (numeric) = 0.824843270548903 " " absolute error = 6.3952536778599800000E-5 " " relative error = 7.752694483553718000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17700000000000007 " " y[1] (analytic) = 0.8239227588577217 " " y[1] (numeric) = 0.8238562698516287 " " absolute error = 6.64890060929623800000E-5 " " relative error = 8.069810595491023000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17800000000000007 " " y[1] (analytic) = 0.8229384707069882 " " y[1] (numeric) = 0.822869379615665 " " absolute error = 6.90910913232478700000E-5 " " relative error = 8.39565700019973000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17900000000000008 " " y[1] (analytic) = 0.8219543596177692 " " y[1] (numeric) = 0.8218826000175812 " " absolute error = 7.17596001880149700000E-5 " " relative error = 8.730363109380563000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18000000000000008 " " y[1] (analytic) = 0.8209704265741757 " " y[1] (numeric) = 0.8208959312349309 " " absolute error = 7.44953392448621800000E-5 " " relative error = 9.074058800841766000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18100000000000008 " " y[1] (analytic) = 0.8199866725601408 " " y[1] (numeric) = 0.8199093734462517 " " absolute error = 7.7299113889095490000E-5 " " relative error = 9.426874420745672000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18200000000000008 " " y[1] (analytic) = 0.8190030985594183 " " y[1] (numeric) = 0.818922926831065 " " absolute error = 8.01717283532843400000E-5 " " relative error = 9.788940785975295000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18300000000000008 " " y[1] (analytic) = 0.8180197055555822 " " y[1] (numeric) = 0.8179365915698761 " " absolute error = 8.31139857061513600000E-5 " " relative error = 1.01603891864318900E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18400000000000008 " " y[1] (analytic) = 0.8170364945320253 " " y[1] (numeric) = 0.8169503678441734 " " absolute error = 8.61266878519062500000E-5 " " relative error = 1.05413513873988100E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18500000000000008 " " y[1] (analytic) = 0.8160534664719588 " " y[1] (numeric) = 0.815964255836429 " " absolute error = 8.92106355298016900000E-5 " " relative error = 1.093195963194491800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18600000000000008 " " y[1] (analytic) = 0.8150706223584103 " " y[1] (numeric) = 0.8149782557300976 " " absolute error = 9.23666283126900500000E-5 " " relative error = 1.133234664321808300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18700000000000008 " " y[1] (analytic) = 0.814087963174224 " " y[1] (numeric) = 0.8139923677096175 " " absolute error = 9.5595464606579310000E-5 " " relative error = 1.174264562687322200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18800000000000008 " " y[1] (analytic) = 0.8131054899020592 " " y[1] (numeric) = 0.8130065919604093 " " absolute error = 9.8897941649966900000E-5 " " relative error = 1.216299027348584600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18900000000000008 " " y[1] (analytic) = 0.8121232035243888 " " y[1] (numeric) = 0.8120209286688762 " " absolute error = 1.0227485551261850000E-4 " " relative error = 1.25935147609099300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19000000000000009 " " y[1] (analytic) = 0.8111411050234993 " " y[1] (numeric) = 0.8110353780224039 " " absolute error = 1.05727001095456960000E-4 " " relative error = 1.30343537567848900E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1910000000000001 " " y[1] (analytic) = 0.8101591953814891 " " y[1] (numeric) = 0.8100499402093603 " " absolute error = 1.092551721287860000E-4 " " relative error = 1.348564242085035200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1920000000000001 " " y[1] (analytic) = 0.8091774755802675 " " y[1] (numeric) = 0.8090646154190951 " " absolute error = 1.12860161172401160000E-4 " " relative error = 1.39475164075060600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1930000000000001 " " y[1] (analytic) = 0.8081959466015546 " " y[1] (numeric) = 0.8080794038419401 " " absolute error = 1.16542759614479690000E-4 " " relative error = 1.442011186823434500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1940000000000001 " " y[1] (analytic) = 0.8072146094268791 " " y[1] (numeric) = 0.8070943056692085 " " absolute error = 1.20303757670581210000E-4 " " relative error = 1.490356545404903600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1950000000000001 " " y[1] (analytic) = 0.806233465037578 " " y[1] (numeric) = 0.8061093210931951 " " absolute error = 1.24143944382870690000E-4 " " relative error = 1.539801431798473200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1960000000000001 " " y[1] (analytic) = 0.8052525144147957 " " y[1] (numeric) = 0.8051244503071758 " " absolute error = 1.28064107619896280000E-4 " " relative error = 1.59035961176681120E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1970000000000001 " " y[1] (analytic) = 0.8042717585394829 " " y[1] (numeric) = 0.8041396935054077 " " absolute error = 1.32065034075146140000E-4 " " relative error = 1.642044901775111500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1980000000000001 " " y[1] (analytic) = 0.8032911983923952 " " y[1] (numeric) = 0.8031550508831286 " " absolute error = 1.36147509266604240000E-4 " " relative error = 1.694871169248120300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1990000000000001 " " y[1] (analytic) = 0.8023108349540926 " " y[1] (numeric) = 0.802170522636557 " " absolute error = 1.40312317535640220000E-4 " " relative error = 1.748852332820218800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2000000000000001 " " y[1] (analytic) = 0.8013306692049387 " " y[1] (numeric) = 0.8011861089628919 " " absolute error = 1.4456024204678730000E-4 " " relative error = 1.804002362597909300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2010000000000001 " " y[1] (analytic) = 0.800350702125099 " " y[1] (numeric) = 0.8002018100603125 " " absolute error = 1.48892064786410040000E-4 " " relative error = 1.860335280409830300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2020000000000001 " " y[1] (analytic) = 0.7993709346945406 " " y[1] (numeric) = 0.7992176261279783 " " absolute error = 1.53308566562260220000E-4 " " relative error = 1.91786516006918900E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2030000000000001 " " y[1] (analytic) = 0.7983913678930307 " " y[1] (numeric) = 0.7982335573660283 " " absolute error = 1.57810527002366640000E-4 " " relative error = 1.97660612762925400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2040000000000001 " " y[1] (analytic) = 0.7974120027001361 " " y[1] (numeric) = 0.7972496039755814 " " absolute error = 1.62398724554702060000E-4 " " relative error = 2.03657236164993500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2050000000000001 " " y[1] (analytic) = 0.7964328400952219 " " y[1] (numeric) = 0.7962657661587359 " " absolute error = 1.67073936485961920000E-4 " " relative error = 2.097778093454640800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2060000000000001 " " y[1] (analytic) = 0.7954538810574507 " " y[1] (numeric) = 0.7952820441185694 " " absolute error = 1.71836938881342330000E-4 " " relative error = 2.160237607401045700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2070000000000001 " " y[1] (analytic) = 0.7944751265657815 " " y[1] (numeric) = 0.7942984380591385 " " absolute error = 1.76688506642985740000E-4 " " relative error = 2.22396524113654800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2080000000000001 " " y[1] (analytic) = 0.7934965775989684 " " y[1] (numeric) = 0.7933149481854788 " " absolute error = 1.8162941348964790000E-4 " " relative error = 2.288975385870448400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2090000000000001 " " y[1] (analytic) = 0.7925182351355606 " " y[1] (numeric) = 0.7923315747036043 " " absolute error = 1.86660431956364730000E-4 " " relative error = 2.355282486647595800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2100000000000001 " " y[1] (analytic) = 0.7915401001539003 " " y[1] (numeric) = 0.7913483178205076 " " absolute error = 1.91782333392676030000E-4 " " relative error = 2.422901042605264400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2110000000000001 " " y[1] (analytic) = 0.7905621736321226 " " y[1] (numeric) = 0.7903651777441597 " " absolute error = 1.9699588796284750000E-4 " " relative error = 2.491845607256651700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2120000000000001 " " y[1] (analytic) = 0.7895844565481537 " " y[1] (numeric) = 0.7893821546835094 " " absolute error = 2.02301864644316430000E-4 " " relative error = 2.562130788753424000E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2130000000000001 " " y[1] (analytic) = 0.7886069498797108 " " y[1] (numeric) = 0.7883992488484833 " " absolute error = 2.07701031227469630000E-4 " " relative error = 2.633771250166525600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2140000000000001 " " y[1] (analytic) = 0.7876296546043003 " " y[1] (numeric) = 0.7874164604499858 " " absolute error = 2.13194154314533260000E-4 " " relative error = 2.706781709757240000E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2150000000000001 " " y[1] (analytic) = 0.7866525716992177 " " y[1] (numeric) = 0.7864337896998985 " " absolute error = 2.18781999319128670000E-4 " " relative error = 2.781176941258149000E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2160000000000001 " " y[1] (analytic) = 0.7856757021415454 " " y[1] (numeric) = 0.7854512368110804 " " absolute error = 2.24465330464940220000E-4 " " relative error = 2.856971774144303500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2170000000000001 " " y[1] (analytic) = 0.7846990469081532 " " y[1] (numeric) = 0.7844688019973672 " " absolute error = 2.30244910785937230000E-4 " " relative error = 2.934181093925641000E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2180000000000001 " " y[1] (analytic) = 0.7837226069756962 " " y[1] (numeric) = 0.7834864854735717 " " absolute error = 2.36121502124486680000E-4 " " relative error = 3.012819842414077300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2190000000000001 " " y[1] (analytic) = 0.7827463833206141 " " y[1] (numeric) = 0.782504287455483 " " absolute error = 2.42095865131131130000E-4 " " relative error = 3.092903018013285500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2200000000000001 " " y[1] (analytic) = 0.7817703769191305 " " y[1] (numeric) = 0.7815222081598665 " " absolute error = 2.4816875926403360000E-4 " " relative error = 3.174445676005771500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2210000000000001 " " y[1] (analytic) = 0.7807945887472519 " " y[1] (numeric) = 0.780540247804464 " " absolute error = 2.54340942787978360000E-4 " " relative error = 3.257462928835820300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22200000000000011 " " y[1] (analytic) = 0.7798190197807664 " " y[1] (numeric) = 0.7795584066079929 " " absolute error = 2.60613172773482840000E-4 " " relative error = 3.34196994639538400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22300000000000011 " " y[1] (analytic) = 0.7788436709952427 " " y[1] (numeric) = 0.7785766847901464 " " absolute error = 2.6698620509624240000E-4 " " relative error = 3.42798195631576500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22400000000000012 " " y[1] (analytic) = 0.7778685433660295 " " y[1] (numeric) = 0.7775950825715933 " " absolute error = 2.73460794436242160000E-4 " " relative error = 3.51551424425661560E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22500000000000012 " " y[1] (analytic) = 0.7768936378682545 " " y[1] (numeric) = 0.7766136001739773 " " absolute error = 2.80037694277202040000E-4 " " relative error = 3.60458215420076330E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22600000000000012 " " y[1] (analytic) = 0.7759189554768229 " " y[1] (numeric) = 0.7756322378199174 " " absolute error = 2.86717656905466360000E-4 " " relative error = 3.69520108874348500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22700000000000012 " " y[1] (analytic) = 0.7749444971664172 " " y[1] (numeric) = 0.7746509957330073 " " absolute error = 2.9350143340989290000E-4 " " relative error = 3.78738650939622400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22800000000000012 " " y[1] (analytic) = 0.7739702639114957 " " y[1] (numeric) = 0.7736698741378153 " " absolute error = 3.00389773680409530000E-4 " " relative error = 3.88115393687475600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22900000000000012 " " y[1] (analytic) = 0.7729962566862913 " " y[1] (numeric) = 0.7726888732598839 " " absolute error = 3.0738342640745930000E-4 " " relative error = 3.97651895140038400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23000000000000012 " " y[1] (analytic) = 0.7720224764648115 " " y[1] (numeric) = 0.7717079933257299 " " absolute error = 3.1448313908155610000E-4 " " relative error = 4.07349719300420100E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23100000000000012 " " y[1] (analytic) = 0.771048924220836 " " y[1] (numeric) = 0.7707272345628441 " " absolute error = 3.2168965799195260000E-4 " " relative error = 4.172104361821500400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23200000000000012 " " y[1] (analytic) = 0.7700756009279174 " " y[1] (numeric) = 0.7697465971996905 " " absolute error = 3.2900372822686210000E-4 " " relative error = 4.272356218407942000E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23300000000000012 " " y[1] (analytic) = 0.7691025075593787 " " y[1] (numeric) = 0.7687660814657071 " " absolute error = 3.3642609367157130000E-4 " " relative error = 4.374268584030035500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23400000000000012 " " y[1] (analytic) = 0.768129645088313 " " y[1] (numeric) = 0.7677856875913047 " " absolute error = 3.43957497008329200000E-4 " " relative error = 4.477857340980296300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23500000000000013 " " y[1] (analytic) = 0.7671570144875831 " " y[1] (numeric) = 0.7668054158078673 " " absolute error = 3.51598679715792200000E-4 " " relative error = 4.58313843288834300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23600000000000013 " " y[1] (analytic) = 0.7661846167298192 " " y[1] (numeric) = 0.7658252663477515 " " absolute error = 3.5935038206769130000E-4 " " relative error = 4.690127865023549500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23700000000000013 " " y[1] (analytic) = 0.7652124527874191 " " y[1] (numeric) = 0.7648452394442865 " " absolute error = 3.6721334313261080000E-4 " " relative error = 4.79884170461382930E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23800000000000013 " " y[1] (analytic) = 0.7642405236325467 " " y[1] (numeric) = 0.7638653353317738 " " absolute error = 3.75188300772877350000E-4 " " relative error = 4.90929608115456400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23900000000000013 " " y[1] (analytic) = 0.763268830237131 " " y[1] (numeric) = 0.7628855542454869 " " absolute error = 3.8327599164411640000E-4 " " relative error = 5.02150718672791700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24000000000000013 " " y[1] (analytic) = 0.7622973735728653 " " y[1] (numeric) = 0.7619058964216712 " " absolute error = 3.9147715119414170000E-4 " " relative error = 5.13549127631517200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24100000000000013 " " y[1] (analytic) = 0.7613261546112062 " " y[1] (numeric) = 0.7609263620975434 " " absolute error = 3.9979251366284440000E-4 " " relative error = 5.25126466812387700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24200000000000013 " " y[1] (analytic) = 0.7603551743233726 " " y[1] (numeric) = 0.7599469515112919 " " absolute error = 4.0822281208074960000E-4 " " relative error = 5.36884374389929400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24300000000000013 " " y[1] (analytic) = 0.7593844336803448 " " y[1] (numeric) = 0.758967664902076 " " absolute error = 4.16768778268794550000E-4 " " relative error = 5.48824494925358300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24400000000000013 " " y[1] (analytic) = 0.7584139336528632 " " y[1] (numeric) = 0.7579885025100259 " " absolute error = 4.2543114283732920000E-4 " " relative error = 5.60948479398659100E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24500000000000013 " " y[1] (analytic) = 0.7574436752114279 " " y[1] (numeric) = 0.7570094645762424 " " absolute error = 4.3421063518545020000E-4 " " relative error = 5.73257985241275600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24600000000000014 " " y[1] (analytic) = 0.7564736593262971 " " y[1] (numeric) = 0.7560305513427967 " " absolute error = 4.43107983500334870000E-4 " " relative error = 5.85754676368982300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24700000000000014 " " y[1] (analytic) = 0.7555038869674866 " " y[1] (numeric) = 0.7550517630527301 " " absolute error = 4.52123914756463740000E-4 " " relative error = 5.984402232147894000E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24800000000000014 " " y[1] (analytic) = 0.7545343591047688 " " y[1] (numeric) = 0.7540730999500539 " " absolute error = 4.6125915471495470000E-4 " " relative error = 6.11316302762175200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24900000000000014 " " y[1] (analytic) = 0.7535650767076715 " " y[1] (numeric) = 0.7530945622797489 " " absolute error = 4.7051442792256370000E-4 " " relative error = 6.243845985780591000E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2500000000000001 " " y[1] (analytic) = 0.7525960407454769 " " y[1] (numeric) = 0.7521161502877655 " " absolute error = 4.79890457711462660000E-4 " " relative error = 6.37646800846987800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2510000000000001 " " y[1] (analytic) = 0.751627252187221 " " y[1] (numeric) = 0.7511378642210229 " " absolute error = 4.8938796619812930000E-4 " " relative error = 6.51104606404330900E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2520000000000001 " " y[1] (analytic) = 0.7506587120016922 " " y[1] (numeric) = 0.7501597043274097 " " absolute error = 4.990076742824589600E-4 " " relative error = 6.64759718769951500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2530000000000001 " " y[1] (analytic) = 0.7496904211574307 " " y[1] (numeric) = 0.7491816708557829 " " absolute error = 5.0875030164776460000E-4 " " relative error = 6.78613848183248900E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2540000000000001 " " y[1] (analytic) = 0.748722380622727 " " y[1] (numeric) = 0.7482037640559678 " " absolute error = 5.1861656675922240000E-4 " " relative error = 6.92668711636319600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2550000000000001 " " y[1] (analytic) = 0.7477545913656218 " " y[1] (numeric) = 0.747225984178758 " " absolute error = 5.286071868638720000E-4 " " relative error = 7.06926032909377800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2560000000000001 " " y[1] (analytic) = 0.7467870543539042 " " y[1] (numeric) = 0.7462483314759151 " " absolute error = 5.3872287798917280000E-4 " " relative error = 7.2138754260444190E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2570000000000001 " " y[1] (analytic) = 0.7458197705551113 " " y[1] (numeric) = 0.7452708062001683 " " absolute error = 5.4896435494300460000E-4 " " relative error = 7.3605497818113900E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2580000000000001 " " y[1] (analytic) = 0.7448527409365264 " " y[1] (numeric) = 0.7442934086052141 " " absolute error = 5.5933233131233440000E-4 " " relative error = 7.50930083990922200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2590000000000001 " " y[1] (analytic) = 0.7438859664651796 " " y[1] (numeric) = 0.7433161389457162 " " absolute error = 5.6982751946332840000E-4 " " relative error = 7.66014611313414800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2600000000000001 " " y[1] (analytic) = 0.7429194481078447 " " y[1] (numeric) = 0.7423389974773055 " " absolute error = 5.8045063053924210000E-4 " " relative error = 7.81310318389971600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2610000000000001 " " y[1] (analytic) = 0.7419531868310405 " " y[1] (numeric) = 0.741361984456579 " " absolute error = 5.9120237446153020000E-4 " " relative error = 7.96818970461758100E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2620000000000001 " " y[1] (analytic) = 0.7409871836010279 " " y[1] (numeric) = 0.7403851001411005 " " absolute error = 6.020834599274050000E-4 " " relative error = 8.12542339803257200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2630000000000001 " " y[1] (analytic) = 0.74002143938381 " " y[1] (numeric) = 0.7394083447893999 " " absolute error = 6.1309459441016840000E-4 " " relative error = 8.28482205759701900E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2640000000000001 " " y[1] (analytic) = 0.7390559551451312 " " y[1] (numeric) = 0.7384317186609728 " " absolute error = 6.2423648415843580000E-4 " " relative error = 8.44640354783220900E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2650000000000001 " " y[1] (analytic) = 0.7380907318504755 " " y[1] (numeric) = 0.7374552220162804 " " absolute error = 6.3550983419502490000E-4 " " relative error = 8.61018580468733400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2660000000000001 " " y[1] (analytic) = 0.737125770465066 " " y[1] (numeric) = 0.7364788551167496 " " absolute error = 6.4691534831640140000E-4 " " relative error = 8.77618683590794500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2670000000000001 " " y[1] (analytic) = 0.7361610719538643 " " y[1] (numeric) = 0.7355026182247719 " " absolute error = 6.5845372909234530000E-4 " " relative error = 8.9444247214094900E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2680000000000001 " " y[1] (analytic) = 0.7351966372815685 " " y[1] (numeric) = 0.7345265116037041 " " absolute error = 6.7012567786439710000E-4 " " relative error = 9.11491761363633300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.26900000000000013 " " y[1] (analytic) = 0.7342324674126134 " " y[1] (numeric) = 0.7335505355178672 " " absolute error = 6.8193189474619050000E-4 " " relative error = 9.28768373794846400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27000000000000013 " " y[1] (analytic) = 0.7332685633111687 " " y[1] (numeric) = 0.7325746902325467 " " absolute error = 6.9387307862200930000E-4 " " relative error = 9.46274139298616500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27100000000000013 " " y[1] (analytic) = 0.7323049259411385 " " y[1] (numeric) = 0.7315989760139922 " " absolute error = 7.0594992714634320000E-4 " " relative error = 9.64010895105034800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27200000000000013 " " y[1] (analytic) = 0.7313415562661602 " " y[1] (numeric) = 0.7306233931294166 " " absolute error = 7.1816313674355480000E-4 " " relative error = 9.81980485848654200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27300000000000013 " " y[1] (analytic) = 0.7303784552496031 " " y[1] (numeric) = 0.729647941846997 " " absolute error = 7.3051340260610330000E-4 " " relative error = 0.10001847636051286 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27400000000000013 " " y[1] (analytic) = 0.7294156238545682 " " y[1] (numeric) = 0.7286726224358733 " " absolute error = 7.4300141869487750000E-4 " " relative error = 0.10186255879309462 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27500000000000013 " " y[1] (analytic) = 0.728453063043887 " " y[1] (numeric) = 0.7276974351661484 " " absolute error = 7.5562787773864050000E-4 " " relative error = 0.10373048259021683 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27600000000000013 " " y[1] (analytic) = 0.7274907737801202 " " y[1] (numeric) = 0.726722380308888 " " absolute error = 7.6839347123214270000E-4 " " relative error = 0.10562243521515575 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27700000000000014 " " y[1] (analytic) = 0.7265287570255567 " " y[1] (numeric) = 0.7257474581361202 " " absolute error = 7.8129888943656580000E-4 " " relative error = 0.10753860489091176 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27800000000000014 " " y[1] (analytic) = 0.7255670137422136 " " y[1] (numeric) = 0.7247726689208351 " " absolute error = 7.9434482137841210000E-4 " " relative error = 0.1094791806040723 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27900000000000014 " " y[1] (analytic) = 0.7246055448918338 " " y[1] (numeric) = 0.7237980129369851 " " absolute error = 8.0753195484872810000E-4 " " relative error = 0.11144435210874258 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28000000000000014 " " y[1] (analytic) = 0.7236443514358861 " " y[1] (numeric) = 0.7228234904594837 " " absolute error = 8.2086097640243770000E-4 " " relative error = 0.11343430993051355 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28100000000000014 " " y[1] (analytic) = 0.722683434335564 " " y[1] (numeric) = 0.721849101764206 " " absolute error = 8.3433257135800960000E-4 " " relative error = 0.11544924537049835 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28200000000000014 " " y[1] (analytic) = 0.7217227945517845 " " y[1] (numeric) = 0.7208748471279881 " " absolute error = 8.4794742379634690000E-4 " " relative error = 0.11748935050928418 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28300000000000014 " " y[1] (analytic) = 0.7207624330451872 " " y[1] (numeric) = 0.7199007268286269 " " absolute error = 8.6170621656023180000E-4 " " relative error = 0.11955481821098303 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28400000000000014 " " y[1] (analytic) = 0.7198023507761335 " " y[1] (numeric) = 0.7189267411448798 " " absolute error = 8.7560963125377090000E-4 " " relative error = 0.12164584212730574 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28500000000000014 " " y[1] (analytic) = 0.7188425487047059 " " y[1] (numeric) = 0.7179528903564644 " " absolute error = 8.8965834824150660000E-4 " " relative error = 0.1237626167016124 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28600000000000014 " " y[1] (analytic) = 0.717883027790706 " " y[1] (numeric) = 0.7169791747440581 " " absolute error = 9.0385304664786230000E-4 " " relative error = 0.1259053371730324 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28700000000000014 " " y[1] (analytic) = 0.7169237889936548 " " y[1] (numeric) = 0.7160055945892984 " " absolute error = 9.181944043564760000E-4 " " relative error = 0.12807419958059205 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28800000000000014 " " y[1] (analytic) = 0.715964833272791 " " y[1] (numeric) = 0.7150321501747816 " " absolute error = 9.3268309800942360000E-4 " " relative error = 0.1302694007673503 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28900000000000015 " " y[1] (analytic) = 0.7150061615870704 " " y[1] (numeric) = 0.7140588417840636 " " absolute error = 9.4731980300677420000E-4 " " relative error = 0.1324911383846045 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29000000000000015 " " y[1] (analytic) = 0.7140477748951644 " " y[1] (numeric) = 0.7130856697016589 " " absolute error = 9.6210519350548030000E-4 " " relative error = 0.1347396108960266 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29100000000000015 " " y[1] (analytic) = 0.7130896741554595 " " y[1] (numeric) = 0.7121126342130404 " " absolute error = 9.7703994241915560000E-4 " " relative error = 0.1370150175819476 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29200000000000015 " " y[1] (analytic) = 0.7121318603260567 " " y[1] (numeric) = 0.7111397356046395 " " absolute error = 9.9212472141718690000E-4 " " relative error = 0.13931755854357264 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29300000000000015 " " y[1] (analytic) = 0.7111743343647696 " " y[1] (numeric) = 0.7101669741638453 " " absolute error = 1.00736020092428990E-3 " " relative error = 0.14164743470728278 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29400000000000015 " " y[1] (analytic) = 0.7102170972291241 " " y[1] (numeric) = 0.7091943501790049 " " absolute error = 1.022747050119177100E-3 " " relative error = 0.1440048478288361 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29500000000000015 " " y[1] (analytic) = 0.7092601498763571 " " y[1] (numeric) = 0.7082218639394223 " " absolute error = 1.0382859369347797000E-3 " " relative error = 0.14639000049781176 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29600000000000015 " " y[1] (analytic) = 0.708303493263416 " " y[1] (numeric) = 0.7072495157353591 " " absolute error = 1.0539775280569152000E-3 " " relative error = 0.1488030961418602 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29700000000000015 " " y[1] (analytic) = 0.7073471283469575 " " y[1] (numeric) = 0.7062773058580334 " " absolute error = 1.069822488924066000E-3 " " relative error = 0.15124433903113443 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29800000000000015 " " y[1] (analytic) = 0.7063910560833461 " " y[1] (numeric) = 0.7053052345996199 " " absolute error = 1.085821483726157000E-3 " " relative error = 0.15371393428260544 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29900000000000015 " " y[1] (analytic) = 0.7054352774286541 " " y[1] (numeric) = 0.7043333022532495 " " absolute error = 1.101975175404557000E-3 " " relative error = 0.15621208786457494 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30000000000000016 " " y[1] (analytic) = 0.7044797933386603 " " y[1] (numeric) = 0.7033615091130091 " " absolute error = 1.1182842256511893000E-3 " " relative error = 0.15873900660108833 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30100000000000016 " " y[1] (analytic) = 0.7035246047688484 " " y[1] (numeric) = 0.7023898554739411 " " absolute error = 1.1347492949073112000E-3 " " relative error = 0.1612948981763256 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30200000000000016 " " y[1] (analytic) = 0.702569712674407 " " y[1] (numeric) = 0.7014183416320433 " " absolute error = 1.1513710423637358000E-3 " " relative error = 0.16387997113922237 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30300000000000016 " " y[1] (analytic) = 0.7016151180102284 " " y[1] (numeric) = 0.7004469678842685 " " absolute error = 1.1681501259598326000E-3 " " relative error = 0.16649443490794377 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30400000000000016 " " y[1] (analytic) = 0.7006608217309067 " " y[1] (numeric) = 0.6994757345285244 " " absolute error = 1.1850872023823067000E-3 " " relative error = 0.1691384997743526 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30500000000000016 " " y[1] (analytic) = 0.6997068247907383 " " y[1] (numeric) = 0.698504641863673 " " absolute error = 1.2021829270653095000E-3 " " relative error = 0.17181237690869272 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30600000000000016 " " y[1] (analytic) = 0.6987531281437201 " " y[1] (numeric) = 0.6975336901895304 " " absolute error = 1.2194379541897726000E-3 " " relative error = 0.17451627836418895 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30700000000000016 " " y[1] (analytic) = 0.6977997327435488 " " y[1] (numeric) = 0.6965628798068667 " " absolute error = 1.2368529366820757000E-3 " " relative error = 0.17725041708157785 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30800000000000016 " " y[1] (analytic) = 0.6968466395436195 " " y[1] (numeric) = 0.6955922110174054 " " absolute error = 1.2544285262140464000E-3 " " relative error = 0.1800150068938554 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30900000000000016 " " y[1] (analytic) = 0.6958938494970253 " " y[1] (numeric) = 0.6946216841238234 " " absolute error = 1.27216537320185000E-3 " " relative error = 0.1828102625308931 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31000000000000016 " " y[1] (analytic) = 0.6949413635565563 " " y[1] (numeric) = 0.6936512994297503 " " absolute error = 1.2900641268059898000E-3 " " relative error = 0.18563639962423975 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31100000000000017 " " y[1] (analytic) = 0.6939891826746984 " " y[1] (numeric) = 0.6926810572397687 " " absolute error = 1.3081254349297522000E-3 " " relative error = 0.18849363471172792 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31200000000000017 " " y[1] (analytic) = 0.6930373078036323 " " y[1] (numeric) = 0.6917109578594132 " " absolute error = 1.3263499442190962000E-3 " " relative error = 0.19138218524231443 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31300000000000017 " " y[1] (analytic) = 0.6920857398952327 " " y[1] (numeric) = 0.6907410015951706 " " absolute error = 1.3447383000620983000E-3 " " relative error = 0.1943022695808851 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31400000000000017 " " y[1] (analytic) = 0.6911344799010677 " " y[1] (numeric) = 0.6897711887544794 " " absolute error = 1.3632911465882858000E-3 " " relative error = 0.1972541070130713 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31500000000000017 " " y[1] (analytic) = 0.690183528772397 " " y[1] (numeric) = 0.6888015196457294 " " absolute error = 1.3820091266675272000E-3 " " relative error = 0.20023791775003005 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31600000000000017 " " y[1] (analytic) = 0.6892328874601716 " " y[1] (numeric) = 0.6878319945782617 " " absolute error = 1.400892881909921000E-3 " " relative error = 0.20325392293339653 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31700000000000017 " " y[1] (analytic) = 0.688282556915033 " " y[1] (numeric) = 0.686862613862368 " " absolute error = 1.419943052665018000E-3 " " relative error = 0.2063023446401689 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31800000000000017 " " y[1] (analytic) = 0.6873325380873114 " " y[1] (numeric) = 0.6858933778092906 " " absolute error = 1.4391602780208235000E-3 " " relative error = 0.20938340588758914 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3190000000000002 " " y[1] (analytic) = 0.6863828319270258 " " y[1] (numeric) = 0.684924286731222 " " absolute error = 1.4585451958037954000E-3 " " relative error = 0.2124973306381975 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3200000000000002 " " y[1] (analytic) = 0.6854334393838821 " " y[1] (numeric) = 0.6839553409413044 " " absolute error = 1.4780984425777355000E-3 " " relative error = 0.21564434380475497 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3210000000000002 " " y[1] (analytic) = 0.6844843614072726 " " y[1] (numeric) = 0.6829865407536297 " " absolute error = 1.4978206536429006000E-3 " " relative error = 0.21882467125522648 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3220000000000002 " " y[1] (analytic) = 0.6835355989462757 " " y[1] (numeric) = 0.6820178864832391 " " absolute error = 1.517712463036558000E-3 " " relative error = 0.22203853981800392 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3230000000000002 " " y[1] (analytic) = 0.6825871529496533 " " y[1] (numeric) = 0.6810493784461227 " " absolute error = 1.5377745035306534000E-3 " " relative error = 0.22528617728673797 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3240000000000002 " " y[1] (analytic) = 0.6816390243658516 " " y[1] (numeric) = 0.6800810169592189 " " absolute error = 1.5580074066327000000E-3 " " relative error = 0.228567812425669 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3250000000000002 " " y[1] (analytic) = 0.6806912141429988 " " y[1] (numeric) = 0.6791128023404146 " " absolute error = 1.578411802584223000E-3 " " relative error = 0.23188367497463133 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3260000000000002 " " y[1] (analytic) = 0.6797437232289054 " " y[1] (numeric) = 0.6781447349085449 " " absolute error = 1.5989883203605393000E-3 " " relative error = 0.23523399565428219 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3270000000000002 " " y[1] (analytic) = 0.6787965525710622 " " y[1] (numeric) = 0.6771768149833921 " " absolute error = 1.6197375876700892000E-3 " " relative error = 0.23861900617129628 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3280000000000002 " " y[1] (analytic) = 0.6778497031166395 " " y[1] (numeric) = 0.6762090428856863 " " absolute error = 1.640660230953217000E-3 " " relative error = 0.24203893922350866 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3290000000000002 " " y[1] (analytic) = 0.6769031758124868 " " y[1] (numeric) = 0.6752414189371042 " " absolute error = 1.661756875382614000E-3 " " relative error = 0.24549402850533347 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3300000000000002 " " y[1] (analytic) = 0.6759569716051315 " " y[1] (numeric) = 0.6742739434602694 " " absolute error = 1.6830281448620976000E-3 " " relative error = 0.24898450871296865 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3310000000000002 " " y[1] (analytic) = 0.6750110914407774 " " y[1] (numeric) = 0.6733066167787518 " " absolute error = 1.7044746620256124000E-3 " " relative error = 0.252510615549664 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3320000000000002 " " y[1] (analytic) = 0.674065536265305 " " y[1] (numeric) = 0.6723394392170674 " " absolute error = 1.7260970482375626000E-3 " " relative error = 0.2560725857312173 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3330000000000002 " " y[1] (analytic) = 0.6731203070242691 " " y[1] (numeric) = 0.6713724111006779 " " absolute error = 1.7478959235911473000E-3 " " relative error = 0.2596706569912067 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3340000000000002 " " y[1] (analytic) = 0.6721754046628989 " " y[1] (numeric) = 0.6704055327559904 " " absolute error = 1.7698719069085822000E-3 " " relative error = 0.2633050680865341 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3350000000000002 " " y[1] (analytic) = 0.6712308301260967 " " y[1] (numeric) = 0.669438804510357 " " absolute error = 1.7920256157397674000E-3 " " relative error = 0.2669760588027697 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3360000000000002 " " y[1] (analytic) = 0.670286584358437 " " y[1] (numeric) = 0.6684722266920746 " " absolute error = 1.8143576663623984000E-3 " " relative error = 0.27068386995974353 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3370000000000002 " " y[1] (analytic) = 0.6693426683041654 " " y[1] (numeric) = 0.6675057996303845 " " absolute error = 1.836868673780967000E-3 " " relative error = 0.2744287434170041 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3380000000000002 " " y[1] (analytic) = 0.6683990829071982 " " y[1] (numeric) = 0.666539523655472 " " absolute error = 1.859559251726206000E-3 " " relative error = 0.2782109220793756 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3390000000000002 " " y[1] (analytic) = 0.6674558291111201 " " y[1] (numeric) = 0.6655733990984664 " " absolute error = 1.8824300126537574000E-3 " " relative error = 0.28203064990243193 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3400000000000002 " " y[1] (analytic) = 0.6665129078591854 " " y[1] (numeric) = 0.66460742629144 " " absolute error = 1.905481567745393000E-3 " " relative error = 0.2858881718983851 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3410000000000002 " " y[1] (analytic) = 0.665570320094315 " " y[1] (numeric) = 0.6636416055674086 " " absolute error = 1.928714526906461000E-3 " " relative error = 0.289783734141443 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3420000000000002 " " y[1] (analytic) = 0.6646280667590967 " " y[1] (numeric) = 0.6626759372603306 " " absolute error = 1.9521294987661086000E-3 " " relative error = 0.2937175837736151 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3430000000000002 " " y[1] (analytic) = 0.6636861487957836 " " y[1] (numeric) = 0.6617104217051067 " " absolute error = 1.9757270906768376000E-3 " " relative error = 0.2976899690104531 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3440000000000002 " " y[1] (analytic) = 0.6627445671462937 " " y[1] (numeric) = 0.6607450592375799 " " absolute error = 1.999507908713838000E-3 " " relative error = 0.3017011391467911 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3450000000000002 " " y[1] (analytic) = 0.6618033227522085 " " y[1] (numeric) = 0.6597798501945347 " " absolute error = 2.0234725576738777000E-3 " " relative error = 0.30575134456245445 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3460000000000002 " " y[1] (analytic) = 0.6608624165547725 " " y[1] (numeric) = 0.6588147949136972 " " absolute error = 2.0476216410753034000E-3 " " relative error = 0.3098408367281688 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3470000000000002 " " y[1] (analytic) = 0.6599218494948915 " " y[1] (numeric) = 0.6578498937337347 " " absolute error = 2.0719557611568185000E-3 " " relative error = 0.3139698682113203 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3480000000000002 " " y[1] (analytic) = 0.6589816225131329 " " y[1] (numeric) = 0.6568851469942549 " " absolute error = 2.096475518877927200E-3 " " relative error = 0.3181386926820021 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3490000000000002 " " y[1] (analytic) = 0.6580417365497232 " " y[1] (numeric) = 0.6559205550358062 " " absolute error = 2.1211815139170476000E-3 " " relative error = 0.3223475649187437 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3500000000000002 " " y[1] (analytic) = 0.6571021925445484 " " y[1] (numeric) = 0.6549561181998766 " " absolute error = 2.1460743446717334000E-3 " " relative error = 0.32659674081459406 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3510000000000002 " " y[1] (analytic) = 0.6561629914371526 " " y[1] (numeric) = 0.6539918368288945 " " absolute error = 2.171154608258119000E-3 " " relative error = 0.33088647738312327 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3520000000000002 " " y[1] (analytic) = 0.6552241341667366 " " y[1] (numeric) = 0.6530277112662272 " " absolute error = 2.196422900509476000E-3 " " relative error = 0.33521703276432524 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3530000000000002 " " y[1] (analytic) = 0.654285621672158 " " y[1] (numeric) = 0.652063741856181 " " absolute error = 2.2218798159769904000E-3 " " relative error = 0.3395886662308934 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3540000000000002 " " y[1] (analytic) = 0.6533474548919286 " " y[1] (numeric) = 0.6510999289440011 " " absolute error = 2.247525947927431200E-3 " " relative error = 0.34400163819405993 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3550000000000002 " " y[1] (analytic) = 0.6524096347642155 " " y[1] (numeric) = 0.6501362728758711 " " absolute error = 2.273361888344482800E-3 " " relative error = 0.3484562102100298 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3560000000000002 " " y[1] (analytic) = 0.6514721622268387 " " y[1] (numeric) = 0.6491727739989123 " " absolute error = 2.2993882279264133000E-3 " " relative error = 0.35295264498589274 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3570000000000002 " " y[1] (analytic) = 0.6505350382172707 " " y[1] (numeric) = 0.6482094326611838 " " absolute error = 2.3256055560868516000E-3 " " relative error = 0.3574912063860468 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3580000000000002 " " y[1] (analytic) = 0.6495982636726352 " " y[1] (numeric) = 0.6472462492116821 " " absolute error = 2.3520144609531224000E-3 " " relative error = 0.3620721594382862 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3590000000000002 " " y[1] (analytic) = 0.6486618395297069 " " y[1] (numeric) = 0.6462832240003404 " " absolute error = 2.378615529366468000E-3 " " relative error = 0.366695770340215 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3600000000000002 " " y[1] (analytic) = 0.6477257667249099 " " y[1] (numeric) = 0.6453203573780288 " " absolute error = 2.405409346881049000E-3 " " relative error = 0.37136230646551227 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3610000000000002 " " y[1] (analytic) = 0.6467900461943166 " " y[1] (numeric) = 0.6443576496965535 " " absolute error = 2.4323964977630563000E-3 " " relative error = 0.37607203637025144 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3620000000000002 " " y[1] (analytic) = 0.6458546788736479 " " y[1] (numeric) = 0.6433951013086565 " " absolute error = 2.4595775649913776000E-3 " " relative error = 0.38082522979949773 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3630000000000002 " " y[1] (analytic) = 0.6449196656982706 " " y[1] (numeric) = 0.6424327125680155 " " absolute error = 2.486953130255154000E-3 " " relative error = 0.38562215769346525 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3640000000000002 " " y[1] (analytic) = 0.6439850076031981 " " y[1] (numeric) = 0.6414704838292432 " " absolute error = 2.514523773954891000E-3 " " relative error = 0.3904630921942605 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3650000000000002 " " y[1] (analytic) = 0.6430507055230884 " " y[1] (numeric) = 0.6405084154478874 " " absolute error = 2.5422900752010147000E-3 " " relative error = 0.39534830665227144 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3660000000000002 " " y[1] (analytic) = 0.6421167603922434 " " y[1] (numeric) = 0.6395465077804302 " " absolute error = 2.5702526118132063000E-3 " " relative error = 0.40027807563271545 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3670000000000002 " " y[1] (analytic) = 0.6411831731446082 " " y[1] (numeric) = 0.6385847611842879 " " absolute error = 2.5984119603202904000E-3 " " relative error = 0.40525267492231304 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3680000000000002 " " y[1] (analytic) = 0.6402499447137698 " " y[1] (numeric) = 0.6376231760178105 " " absolute error = 2.6267686959593470000E-3 " " relative error = 0.41027238153588136 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3690000000000002 " " y[1] (analytic) = 0.639317076032957 " " y[1] (numeric) = 0.6366617526402815 " " absolute error = 2.6553233926754904000E-3 " " relative error = 0.41533747372307134 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3700000000000002 " " y[1] (analytic) = 0.6383845680350377 " " y[1] (numeric) = 0.6357004914119172 " " absolute error = 2.684076623120535000E-3 " " relative error = 0.42044823097497236 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3710000000000002 " " y[1] (analytic) = 0.6374524216525206 " " y[1] (numeric) = 0.634739392693867 " " absolute error = 2.7130289586535516000E-3 " " relative error = 0.4256049340310517 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3720000000000002 " " y[1] (analytic) = 0.6365206378175514 " " y[1] (numeric) = 0.6337784568482123 " " absolute error = 2.742180969339092000E-3 " " relative error = 0.43080786488577216 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3730000000000002 " " y[1] (analytic) = 0.6355892174619142 " " y[1] (numeric) = 0.6328176842379666 " " absolute error = 2.771533223947631000E-3 " " relative error = 0.4360573067955966 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3740000000000002 " " y[1] (analytic) = 0.6346581615170293 " " y[1] (numeric) = 0.6318570752270749 " " absolute error = 2.8010862899543465000E-3 " " relative error = 0.4413535442857749 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3750000000000002 " " y[1] (analytic) = 0.6337274709139522 " " y[1] (numeric) = 0.6308966301804136 " " absolute error = 2.8308407335385644000E-3 " " relative error = 0.4466968631572762 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3760000000000002 " " y[1] (analytic) = 0.6327971465833737 " " y[1] (numeric) = 0.62993634946379 " " absolute error = 2.860797119583758000E-3 " " relative error = 0.45208755049385096 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3770000000000002 " " y[1] (analytic) = 0.6318671894556182 " " y[1] (numeric) = 0.6289762334439415 " " absolute error = 2.8909560116766597000E-3 " " relative error = 0.45752589466899646 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3780000000000002 " " y[1] (analytic) = 0.6309376004606424 " " y[1] (numeric) = 0.6280162824885361 " " absolute error = 2.921317972106263000E-3 " " relative error = 0.4630121853529466 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3790000000000002 " " y[1] (analytic) = 0.6300083805280354 " " y[1] (numeric) = 0.6270564969661714 " " absolute error = 2.9518835618640440000E-3 " " relative error = 0.46854671351989813 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3800000000000002 " " y[1] (analytic) = 0.6290795305870172 " " y[1] (numeric) = 0.6260968772463744 " " absolute error = 2.982653340642738000E-3 " " relative error = 0.4741297714550519 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3810000000000002 " " y[1] (analytic) = 0.6281510515664372 " " y[1] (numeric) = 0.6251374236996011 " " absolute error = 3.0136278668361216000E-3 " " relative error = 0.4797616527618566 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38200000000000023 " " y[1] (analytic) = 0.6272229443947749 " " y[1] (numeric) = 0.6241781366972363 " " absolute error = 3.044807697538565000E-3 " " relative error = 0.4854426523692602 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38300000000000023 " " y[1] (analytic) = 0.6262952100001371 " " y[1] (numeric) = 0.623219016611593 " " absolute error = 3.076193388544146000E-3 " " relative error = 0.4911730665389366 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38400000000000023 " " y[1] (analytic) = 0.6253678493102581 " " y[1] (numeric) = 0.6222600638159119 " " absolute error = 3.1077854943462047000E-3 " " relative error = 0.49695319287262674 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38500000000000023 " " y[1] (analytic) = 0.6244408632524986 " " y[1] (numeric) = 0.6213012786843618 " " absolute error = 3.1395845681367884000E-3 " " relative error = 0.5027833303195066 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38600000000000023 " " y[1] (analytic) = 0.6235142527538445 " " y[1] (numeric) = 0.6203426615920381 " " absolute error = 3.1715911618064310000E-3 " " relative error = 0.5086637791836548 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38700000000000023 " " y[1] (analytic) = 0.6225880187409063 " " y[1] (numeric) = 0.6193842129149634 " " absolute error = 3.203805825942929000E-3 " " relative error = 0.5145948411314051 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38800000000000023 " " y[1] (analytic) = 0.6216621621399179 " " y[1] (numeric) = 0.6184259330300864 " " absolute error = 3.2362291098314566000E-3 " " relative error = 0.5205768191989585 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38900000000000023 " " y[1] (analytic) = 0.6207366838767359 " " y[1] (numeric) = 0.6174678223152822 " " absolute error = 3.268861561453673000E-3 " " relative error = 0.5266100177998816 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39000000000000024 " " y[1] (analytic) = 0.6198115848768384 " " y[1] (numeric) = 0.6165098811493512 " " absolute error = 3.3017037274871710000E-3 " " relative error = 0.5326947427327042 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39100000000000024 " " y[1] (analytic) = 0.6188868660653243 " " y[1] (numeric) = 0.6155521099120194 " " absolute error = 3.3347561533049186000E-3 " " relative error = 0.538831301188565 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39200000000000024 " " y[1] (analytic) = 0.6179625283669123 " " y[1] (numeric) = 0.6145945089839374 " " absolute error = 3.3680193829749294000E-3 " " relative error = 0.5450200017589389 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39300000000000024 " " y[1] (analytic) = 0.6170385727059402 " " y[1] (numeric) = 0.6136370787466807 " " absolute error = 3.401493959259483000E-3 " " relative error = 0.5512611544433415 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39400000000000024 " " y[1] (analytic) = 0.6161150000063635 " " y[1] (numeric) = 0.6126798195827486 " " absolute error = 3.435180423614903000E-3 " " relative error = 0.55755507065717 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39500000000000024 " " y[1] (analytic) = 0.6151918111917547 " " y[1] (numeric) = 0.6117227318755645 " " absolute error = 3.4690793161902267000E-3 " " relative error = 0.5639020632394143 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39600000000000024 " " y[1] (analytic) = 0.6142690071853028 " " y[1] (numeric) = 0.6107658160094748 " " absolute error = 3.50319117582798000E-3 " " relative error = 0.5703024464607562 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39700000000000024 " " y[1] (analytic) = 0.6133465889098114 " " y[1] (numeric) = 0.6098090723697491 " " absolute error = 3.537516540062291000E-3 " " relative error = 0.5767565360312877 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39800000000000024 " " y[1] (analytic) = 0.612424557287699 " " y[1] (numeric) = 0.6088525013425798 " " absolute error = 3.5720559451191125000E-3 " " relative error = 0.5832646491086193 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39900000000000024 " " y[1] (analytic) = 0.6115029132409969 " " y[1] (numeric) = 0.6078961033150813 " " absolute error = 3.606809925915666000E-3 " " relative error = 0.5898271043059121 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40000000000000024 " " y[1] (analytic) = 0.6105816576913493 " " y[1] (numeric) = 0.6069398786752895 " " absolute error = 3.6417790160597760000E-3 " " relative error = 0.5964442216999426 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40100000000000025 " " y[1] (analytic) = 0.6096607915600114 " " y[1] (numeric) = 0.6059838278121625 " " absolute error = 3.6769637478488715000E-3 " " relative error = 0.6031163228391624 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40200000000000025 " " y[1] (analytic) = 0.6087403157678496 " " y[1] (numeric) = 0.6050279511155789 " " absolute error = 3.71236465227065000E-3 " " relative error = 0.6098437307520806 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40300000000000025 " " y[1] (analytic) = 0.6078202312353393 " " y[1] (numeric) = 0.6040722489763383 " " absolute error = 3.7479822590010814000E-3 " " relative error = 0.6166267699552627 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40400000000000025 " " y[1] (analytic) = 0.6069005388825652 " " y[1] (numeric) = 0.6031167217861603 " " absolute error = 3.7838170964049620000E-3 " " relative error = 0.6234657664617971 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40500000000000025 " " y[1] (analytic) = 0.6059812396292193 " " y[1] (numeric) = 0.6021613699376845 " " absolute error = 3.819869691534805000E-3 " " relative error = 0.6303610477895425 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40600000000000025 " " y[1] (analytic) = 0.6050623343946011 " " y[1] (numeric) = 0.6012061938244702 " " absolute error = 3.8561405701309504000E-3 " " relative error = 0.6373129429696257 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40700000000000025 " " y[1] (analytic) = 0.6041438240976155 " " y[1] (numeric) = 0.6002511938409953 " " absolute error = 3.892630256620122000E-3 " " relative error = 0.6443217825547389 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40800000000000025 " " y[1] (analytic) = 0.6032257096567728 " " y[1] (numeric) = 0.5992963703826569 " " absolute error = 3.929339274115873000E-3 " " relative error = 0.6513878986277978 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40900000000000025 " " y[1] (analytic) = 0.6023079919901875 " " y[1] (numeric) = 0.5983417238457702 " " absolute error = 3.966268144417251000E-3 " " relative error = 0.6585116248103624 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41000000000000025 " " y[1] (analytic) = 0.6013906720155768 " " y[1] (numeric) = 0.5973872546275685 " " absolute error = 4.003417388008357000E-3 " " relative error = 0.665693296271257 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41100000000000025 " " y[1] (analytic) = 0.6004737506502611 " " y[1] (numeric) = 0.5964329631262022 " " absolute error = 4.0407875240588975000E-3 " " relative error = 0.6729332497354088 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41200000000000025 " " y[1] (analytic) = 0.5995572288111615 " " y[1] (numeric) = 0.5954788497407393 " " absolute error = 4.078379070422189000E-3 " " relative error = 0.6802318234923207 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41300000000000026 " " y[1] (analytic) = 0.5986411074147995 " " y[1] (numeric) = 0.5945249148711642 " " absolute error = 4.116192543635266400E-3 " " relative error = 0.687589357404945 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41400000000000026 " " y[1] (analytic) = 0.5977253873772967 " " y[1] (numeric) = 0.5935711589183778 " " absolute error = 4.154228458918996000E-3 " " relative error = 0.6950061929186153 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41500000000000026 " " y[1] (analytic) = 0.5968100696143731 " " y[1] (numeric) = 0.5926175822841967 " " absolute error = 4.192487330176409000E-3 " " relative error = 0.7024826730697374 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41600000000000026 " " y[1] (analytic) = 0.5958951550413463 " " y[1] (numeric) = 0.5916641853713533 " " absolute error = 4.230969669992923300E-3 " " relative error = 0.71001914249485 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41700000000000026 " " y[1] (analytic) = 0.5949806445731307 " " y[1] (numeric) = 0.5907109685834951 " " absolute error = 4.2696759896355685000E-3 " " relative error = 0.717615947439576 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41800000000000026 " " y[1] (analytic) = 0.5940665391242368 " " y[1] (numeric) = 0.589757932325184 " " absolute error = 4.308606799052761000E-3 " " relative error = 0.7252734357677237 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41900000000000026 " " y[1] (analytic) = 0.59315283960877 " " y[1] (numeric) = 0.5888050770018965 " " absolute error = 4.347762606873417600E-3 " " relative error = 0.732991956970332 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42000000000000026 " " y[1] (analytic) = 0.5922395469404296 " " y[1] (numeric) = 0.587852403020023 " " absolute error = 4.387143920406622000E-3 " " relative error = 0.7407718621748681 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42100000000000026 " " y[1] (analytic) = 0.5913266620325083 " " y[1] (numeric) = 0.5868999107868671 " " absolute error = 4.426751245641180600E-3 " " relative error = 0.7486135041544634 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42200000000000026 " " y[1] (analytic) = 0.5904141857978908 " " y[1] (numeric) = 0.5859476007106458 " " absolute error = 4.466585087245067400E-3 " " relative error = 0.7565172373371899 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42300000000000026 " " y[1] (analytic) = 0.5895021191490536 " " y[1] (numeric) = 0.5849954732004886 " " absolute error = 4.50664594856498000E-3 " " relative error = 0.7644834178154142 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42400000000000027 " " y[1] (analytic) = 0.588590462998063 " " y[1] (numeric) = 0.5840435286664375 " " absolute error = 4.546934331625452000E-3 " " relative error = 0.7725124033551348 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42500000000000027 " " y[1] (analytic) = 0.587679218256575 " " y[1] (numeric) = 0.5830917675194461 " " absolute error = 4.587450737128851000E-3 " " relative error = 0.7806045534055306 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42600000000000027 " " y[1] (analytic) = 0.5867683858358345 " " y[1] (numeric) = 0.5821401901713796 " " absolute error = 4.628195664454826000E-3 " " relative error = 0.7887602291084747 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42700000000000027 " " y[1] (analytic) = 0.5858579666466737 " " y[1] (numeric) = 0.5811887970350142 " " absolute error = 4.669169611659418400E-3 " " relative error = 0.7969797933080524 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42800000000000027 " " y[1] (analytic) = 0.5849479615995117 " " y[1] (numeric) = 0.5802375885240367 " " absolute error = 4.7103730754749495000E-3 " " relative error = 0.8052636105602734 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42900000000000027 " " y[1] (analytic) = 0.5840383716043535 " " y[1] (numeric) = 0.5792865650530442 " " absolute error = 4.7518065513092456000E-3 " " relative error = 0.8136120471427302 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.43000000000000027 " " y[1] (analytic) = 0.5831291975707891 " " y[1] (numeric) = 0.5783357270375434 " " absolute error = 4.793470533245636000E-3 " " relative error = 0.8220254710644517 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.43100000000000027 " " y[1] (analytic) = 0.5822204404079923 " " y[1] (numeric) = 0.5773850748939507 " " absolute error = 4.835365514041512000E-3 " " relative error = 0.8305042520755744 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4320000000000003 " " y[1] (analytic) = 0.5813121010247202 " " y[1] (numeric) = 0.5764346090395912 " " absolute error = 4.87749198512899000E-3 " " relative error = 0.8390487616774341 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4330000000000003 " " y[1] (analytic) = 0.5804041803293123 " " y[1] (numeric) = 0.5754843298926986 " " absolute error = 4.919850436613693000E-3 " " relative error = 0.8476593731324 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4340000000000003 " " y[1] (analytic) = 0.5794966792296892 " " y[1] (numeric) = 0.5745342378724148 " " absolute error = 4.962441357274416400E-3 " " relative error = 0.8563364614739241 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4350000000000003 " " y[1] (analytic) = 0.5785895986333517 " " y[1] (numeric) = 0.5735843333987892 " " absolute error = 5.0052652345624620000E-3 " " relative error = 0.8650804035165977 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4360000000000003 " " y[1] (analytic) = 0.5776829394473805 " " y[1] (numeric) = 0.5726346168927788 " " absolute error = 5.048322554601636000E-3 " " relative error = 0.8738915778663867 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4370000000000003 " " y[1] (analytic) = 0.5767767025784347 " " y[1] (numeric) = 0.5716850887762475 " " absolute error = 5.091613802187256000E-3 " " relative error = 0.8827703649307606 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4380000000000003 " " y[1] (analytic) = 0.575870888932751 " " y[1] (numeric) = 0.5707357494719651 " " absolute error = 5.135139460785809000E-3 " " relative error = 0.8917171469290021 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4390000000000003 " " y[1] (analytic) = 0.5749654994161429 " " y[1] (numeric) = 0.5697865994036081 " " absolute error = 5.178900012534848000E-3 " " relative error = 0.9007323079026198 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4400000000000003 " " y[1] (analytic) = 0.5740605349340002 " " y[1] (numeric) = 0.5688376389957582 " " absolute error = 5.222895938241989000E-3 " " relative error = 0.909816233725676 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4410000000000003 " " y[1] (analytic) = 0.5731559963912869 " " y[1] (numeric) = 0.5678888686739024 " " absolute error = 5.267127717384468000E-3 " " relative error = 0.9189693121152764 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4420000000000003 " " y[1] (analytic) = 0.5722518846925417 " " y[1] (numeric) = 0.5669402888644325 " " absolute error = 5.31159582810925000E-3 " " relative error = 0.9281919326422232 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4430000000000003 " " y[1] (analytic) = 0.5713482007418762 " " y[1] (numeric) = 0.5659918999946444 " " absolute error = 5.3563007472318120000E-3 " " relative error = 0.9374844867415069 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4440000000000003 " " y[1] (analytic) = 0.5704449454429741 " " y[1] (numeric) = 0.5650437024927382 " " absolute error = 5.401242950235918000E-3 " " relative error = 0.9468473677230377 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4450000000000003 " " y[1] (analytic) = 0.5695421196990909 " " y[1] (numeric) = 0.5640956967878172 " " absolute error = 5.4464229112736180000E-3 " " relative error = 0.9562809707824868 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4460000000000003 " " y[1] (analytic) = 0.5686397244130521 " " y[1] (numeric) = 0.5631478833098881 " " absolute error = 5.49184110316403000E-3 " " relative error = 0.9657856930119838 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4470000000000003 " " y[1] (analytic) = 0.5677377604872529 " " y[1] (numeric) = 0.5622002624898598 " " absolute error = 5.537497997393115000E-3 " " relative error = 0.9753619334110586 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4480000000000003 " " y[1] (analytic) = 0.5668362288236573 " " y[1] (numeric) = 0.5612528347595435 " " absolute error = 5.583394064113789000E-3 " " relative error = 0.9850100928977112 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4490000000000003 " " y[1] (analytic) = 0.5659351303237966 " " y[1] (numeric) = 0.5603056005516522 " " absolute error = 5.6295297721443700000E-3 " " relative error = 0.9947305743192628 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4500000000000003 " " y[1] (analytic) = 0.5650344658887696 " " y[1] (numeric) = 0.5593585602998005 " " absolute error = 5.675905588969132000E-3 " " relative error = 1.0045237824636468 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4510000000000003 " " y[1] (analytic) = 0.5641342364192403 " " y[1] (numeric) = 0.5584117144385033 " " absolute error = 5.722521980736972000E-3 " " relative error = 1.0143901240704418 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4520000000000003 " " y[1] (analytic) = 0.5632344428154383 " " y[1] (numeric) = 0.5574650634031765 " " absolute error = 5.769379412261855000E-3 " " relative error = 1.0243300078422894 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4530000000000003 " " y[1] (analytic) = 0.5623350859771572 " " y[1] (numeric) = 0.5565186076301355 " " absolute error = 5.816478347021703000E-3 " " relative error = 1.0343438444561106 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4540000000000003 " " y[1] (analytic) = 0.5614361668037535 " " y[1] (numeric) = 0.5555723475565957 " " absolute error = 5.863819247157842000E-3 " " relative error = 1.0444320465744956 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4550000000000003 " " y[1] (analytic) = 0.5605376861941465 " " y[1] (numeric) = 0.5546262836206713 " " absolute error = 5.911402573475111000E-3 " " relative error = 1.054595028857284 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4560000000000003 " " y[1] (analytic) = 0.5596396450468166 " " y[1] (numeric) = 0.5536804162613757 " " absolute error = 5.959228785440973000E-3 " " relative error = 1.0648332079730438 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4570000000000003 " " y[1] (analytic) = 0.5587420442598051 " " y[1] (numeric) = 0.5527347459186199 " " absolute error = 6.0072983411851850000E-3 " " relative error = 1.075147002610725 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4580000000000003 " " y[1] (analytic) = 0.5578448847307126 " " y[1] (numeric) = 0.5517892730332132 " " absolute error = 6.055611697499352000E-3 " " relative error = 1.0855368334913686 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4590000000000003 " " y[1] (analytic) = 0.5569481673566984 " " y[1] (numeric) = 0.5508439980468622 " " absolute error = 6.104169309836149000E-3 " " relative error = 1.0960031233798322 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4600000000000003 " " y[1] (analytic) = 0.55605189303448 " " y[1] (numeric) = 0.5498989214021703 " " absolute error = 6.152971632309656000E-3 " " relative error = 1.1065462970967925 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4610000000000003 " " y[1] (analytic) = 0.5551560626603316 " " y[1] (numeric) = 0.5489540435426374 " " absolute error = 6.202019117694135000E-3 " " relative error = 1.1171667815305475 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4620000000000003 " " y[1] (analytic) = 0.5542606771300833 " " y[1] (numeric) = 0.5480093649126596 " " absolute error = 6.251312217423699000E-3 " " relative error = 1.127865005649054 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4630000000000003 " " y[1] (analytic) = 0.5533657373391208 " " y[1] (numeric) = 0.5470648859575286 " " absolute error = 6.3008513815921980000E-3 " " relative error = 1.1386414005120864 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4640000000000003 " " y[1] (analytic) = 0.5524712441823838 " " y[1] (numeric) = 0.546120607123431 " " absolute error = 6.350637058952779000E-3 " " relative error = 1.149496399283414 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4650000000000003 " " y[1] (analytic) = 0.5515771985543654 " " y[1] (numeric) = 0.5451765288574485 " " absolute error = 6.400669696916883000E-3 " " relative error = 1.1604304372429584 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4660000000000003 " " y[1] (analytic) = 0.5506836013491109 " " y[1] (numeric) = 0.5442326516075567 " " absolute error = 6.450949741554135000E-3 " " relative error = 1.1714439517991924 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4670000000000003 " " y[1] (analytic) = 0.5497904534602176 " " y[1] (numeric) = 0.5432889758226255 " " absolute error = 6.5014776375921230000E-3 " " relative error = 1.182537382501598 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4680000000000003 " " y[1] (analytic) = 0.5488977557808334 " " y[1] (numeric) = 0.5423455019524175 " " absolute error = 6.552253828415955000E-3 " " relative error = 1.1937111710531698 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4690000000000003 " " y[1] (analytic) = 0.5480055092036559 " " y[1] (numeric) = 0.5414022304475888 " " absolute error = 6.6032787560670330000E-3 " " relative error = 1.2049657613228573 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4700000000000003 " " y[1] (analytic) = 0.5471137146209315 " " y[1] (numeric) = 0.5404591617596878 " " absolute error = 6.654552861243723000E-3 " " relative error = 1.2163015993584332 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4710000000000003 " " y[1] (analytic) = 0.5462223729244546 " " y[1] (numeric) = 0.5395162963411547 " " absolute error = 6.706076583299914000E-3 " " relative error = 1.2277191333990631 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4720000000000003 " " y[1] (analytic) = 0.545331485005567 " " y[1] (numeric) = 0.5385736346453217 " " absolute error = 6.757850360245343000E-3 " " relative error = 1.2392188138882823 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4730000000000003 " " y[1] (analytic) = 0.5444410517551567 " " y[1] (numeric) = 0.5376311771264117 " " absolute error = 6.8098746287449390000E-3 " " relative error = 1.2508010934868743 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4740000000000003 " " y[1] (analytic) = 0.5435510740636564 " " y[1] (numeric) = 0.5366889242395385 " " absolute error = 6.862149824117925000E-3 " " relative error = 1.2624664270857984 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4750000000000003 " " y[1] (analytic) = 0.5426615528210442 " " y[1] (numeric) = 0.5357468764407061 " " absolute error = 6.914676380338158000E-3 " " relative error = 1.2742152718194208 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4760000000000003 " " y[1] (analytic) = 0.541772488916841 " " y[1] (numeric) = 0.534805034186808 " " absolute error = 6.967454730033018000E-3 " " relative error = 1.2860480870785749 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4770000000000003 " " y[1] (analytic) = 0.5408838832401108 " " y[1] (numeric) = 0.5338633979356273 " " absolute error = 7.020485304483515000E-3 " " relative error = 1.2979653345239277 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4780000000000003 " " y[1] (analytic) = 0.539995736679459 " " y[1] (numeric) = 0.5329219681458358 " " absolute error = 7.0737685336231810000E-3 " " relative error = 1.309967478099214 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4790000000000003 " " y[1] (analytic) = 0.5391080501230321 " " y[1] (numeric) = 0.5319807452769938 " " absolute error = 7.127304846038296000E-3 " " relative error = 1.3220549840448022 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4800000000000003 " " y[1] (analytic) = 0.5382208244585168 " " y[1] (numeric) = 0.5310397297895493 " " absolute error = 7.181094668967547000E-3 " " relative error = 1.3342283209112484 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4810000000000003 " " y[1] (analytic) = 0.5373340605731385 " " y[1] (numeric) = 0.5300989221448378 " " absolute error = 7.2351384283007030000E-3 " " relative error = 1.3464879595727586 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4820000000000003 " " y[1] (analytic) = 0.5364477593536612 " " y[1] (numeric) = 0.5291583228050819 " " absolute error = 7.289436548579276000E-3 " " relative error = 1.3588343732411055 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4830000000000003 " " y[1] (analytic) = 0.5355619216863858 " " y[1] (numeric) = 0.5282179322333908 " " absolute error = 7.343989452995081000E-3 " " relative error = 1.3712680374792539 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4840000000000003 " " y[1] (analytic) = 0.5346765484571501 " " y[1] (numeric) = 0.5272777508937595 " " absolute error = 7.398797563390569000E-3 " " relative error = 1.383789430215401 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4850000000000003 " " y[1] (analytic) = 0.533791640551327 " " y[1] (numeric) = 0.5263377792510688 " " absolute error = 7.453861300258158000E-3 " " relative error = 1.3963990317569293 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4860000000000003 " " y[1] (analytic) = 0.5329071988538245 " " y[1] (numeric) = 0.5253980177710847 " " absolute error = 7.509181082739791000E-3 " " relative error = 1.4090973248044911 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4870000000000003 " " y[1] (analytic) = 0.5320232242490843 " " y[1] (numeric) = 0.5244584669204577 " " absolute error = 7.5647573286266030000E-3 " " relative error = 1.4218847944662114 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4880000000000003 " " y[1] (analytic) = 0.5311397176210809 " " y[1] (numeric) = 0.5235191271667227 " " absolute error = 7.620590454358256000E-3 " " relative error = 1.4347619282719208 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4890000000000003 " " y[1] (analytic) = 0.5302566798533208 " " y[1] (numeric) = 0.522579998978298 " " absolute error = 7.676680875022823000E-3 " " relative error = 1.4477292161875905 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4900000000000003 " " y[1] (analytic) = 0.5293741118288418 " " y[1] (numeric) = 0.5216410828244855 " " absolute error = 7.73302900435624000E-3 " " relative error = 1.4607871506297796 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4910000000000003 " " y[1] (analytic) = 0.5284920144302114 " " y[1] (numeric) = 0.5207023791754699 " " absolute error = 7.789635254741523000E-3 " " relative error = 1.4739362264801377 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4920000000000003 " " y[1] (analytic) = 0.5276103885395276 " " y[1] (numeric) = 0.5197638885023181 " " absolute error = 7.846500037209436000E-3 " " relative error = 1.4871769411002778 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4930000000000003 " " y[1] (analytic) = 0.5267292350384158 " " y[1] (numeric) = 0.5188256112769789 " " absolute error = 7.90362376143694000E-3 " " relative error = 1.5005097943463317 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4940000000000003 " " y[1] (analytic) = 0.5258485548080295 " " y[1] (numeric) = 0.5178875479722824 " " absolute error = 7.961006835747075000E-3 " " relative error = 1.5139352885838746 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.49500000000000033 " " y[1] (analytic) = 0.5249683487290489 " " y[1] (numeric) = 0.5169496990619399 " " absolute error = 8.018649667108968000E-3 " " relative error = 1.5274539287029707 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.49600000000000033 " " y[1] (analytic) = 0.5240886176816799 " " y[1] (numeric) = 0.5160120650205428 " " absolute error = 8.07655266113716000E-3 " " relative error = 1.5410662221331972 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.49700000000000033 " " y[1] (analytic) = 0.5232093625456538 " " y[1] (numeric) = 0.5150746463235625 " " absolute error = 8.134716222091276000E-3 " " relative error = 1.5547726788588314 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.49800000000000033 " " y[1] (analytic) = 0.5223305842002253 " " y[1] (numeric) = 0.5141374434473502 " " absolute error = 8.193140752875028000E-3 " " relative error = 1.5685738114340144 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.49900000000000033 " " y[1] (analytic) = 0.5214522835241726 " " y[1] (numeric) = 0.513200456869136 " " absolute error = 8.251826655036654000E-3 " " relative error = 1.5824701349982926 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5000000000000003 " " y[1] (analytic) = 0.5205744613957968 " " y[1] (numeric) = 0.5122636870670282 " " absolute error = 8.310774328768589000E-3 " " relative error = 1.5964621672921144 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5010000000000003 " " y[1] (analytic) = 0.5196971186929193 " " y[1] (numeric) = 0.5113271345200135 " " absolute error = 8.369984172905798000E-3 " " relative error = 1.6105504286721832 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5020000000000003 " " y[1] (analytic) = 0.5188202562928834 " " y[1] (numeric) = 0.5103907997079563 " " absolute error = 8.429456584927109000E-3 " " relative error = 1.6247354421274809 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5030000000000003 " " y[1] (analytic) = 0.517943875072551 " " y[1] (numeric) = 0.5094546831115978 " " absolute error = 8.489191960953213000E-3 " " relative error = 1.6390177332947684 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5040000000000003 " " y[1] (analytic) = 0.5170679759083033 " " y[1] (numeric) = 0.5085187852125559 " " absolute error = 8.549190695747444000E-3 " " relative error = 1.6533978304747217 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5050000000000003 " " y[1] (analytic) = 0.5161925596760395 " " y[1] (numeric) = 0.5075831064933246 " " absolute error = 8.609453182714888000E-3 " " relative error = 1.667876264647857 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5060000000000003 " " y[1] (analytic) = 0.5153176272511757 " " y[1] (numeric) = 0.5066476474372739 " " absolute error = 8.66997981390182900E-3 " " relative error = 1.6824535694906309 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5070000000000003 " " y[1] (analytic) = 0.5144431795086444 " " y[1] (numeric) = 0.5057124085286484 " " absolute error = 8.730770979995972000E-3 " " relative error = 1.6971302813917986 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5080000000000003 " " y[1] (analytic) = 0.513569217322893 " " y[1] (numeric) = 0.5047773902525678 " " absolute error = 8.791827070325109000E-3 " " relative error = 1.7119069394685862 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5090000000000003 " " y[1] (analytic) = 0.5126957415678837 " " y[1] (numeric) = 0.5038425930950261 " " absolute error = 8.853148472857564000E-3 " " relative error = 1.7267840855833128 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5100000000000003 " " y[1] (analytic) = 0.5118227531170922 " " y[1] (numeric) = 0.5029080175428906 " " absolute error = 8.914735574201638000E-3 " " relative error = 1.7417622643599373 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5110000000000003 " " y[1] (analytic) = 0.510950252843507 " " y[1] (numeric) = 0.5019736640839021 " " absolute error = 8.976588759604942000E-3 " " relative error = 1.7568420232006963 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5120000000000003 " " y[1] (analytic) = 0.5100782416196281 " " y[1] (numeric) = 0.501039533206674 " " absolute error = 9.038708412954066000E-3 " " relative error = 1.7720239123029182 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5130000000000003 " " y[1] (analytic) = 0.5092067203174668 " " y[1] (numeric) = 0.5001056254006923 " " absolute error = 9.101094916774577000E-3 " " relative error = 1.7873084846760203 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5140000000000003 " " y[1] (analytic) = 0.5083356898085443 " " y[1] (numeric) = 0.49917194115631425 " " absolute error = 9.16374865223001900E-3 " " relative error = 1.8026962961584272 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5150000000000003 " " y[1] (analytic) = 0.507465150963891 " " y[1] (numeric) = 0.4982384809647688 " " absolute error = 9.226669999122195000E-3 " " relative error = 1.818187905434855 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5160000000000003 " " y[1] (analytic) = 0.5065951046540458 " " y[1] (numeric) = 0.49730524531815556 " " absolute error = 9.289859335890216000E-3 " " relative error = 1.8337838740534749 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5170000000000003 " " y[1] (analytic) = 0.5057255517490546 " " y[1] (numeric) = 0.4963722347094443 " " absolute error = 9.353317039610343000E-3 " " relative error = 1.8494847664433491 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5180000000000003 " " y[1] (analytic) = 0.5048564931184707 " " y[1] (numeric) = 0.49543944963247477 " " absolute error = 9.417043485995924000E-3 " " relative error = 1.8652911499320066 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5190000000000003 " " y[1] (analytic) = 0.5039879296313523 " " y[1] (numeric) = 0.4945068905819559 " " absolute error = 9.4810390493964000E-3 " " relative error = 1.8812035947629566 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5200000000000004 " " y[1] (analytic) = 0.5031198621562629 " " y[1] (numeric) = 0.4935745580534655 " " absolute error = 9.545304102797414000E-3 " " relative error = 1.8972226741135412 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5210000000000004 " " y[1] (analytic) = 0.50225229156127 " " y[1] (numeric) = 0.4926424525434497 " " absolute error = 9.609839017820365000E-3 " " relative error = 1.913348964112801 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5220000000000004 " " y[1] (analytic) = 0.5013852187139441 " " y[1] (numeric) = 0.49171057454922235 " " absolute error = 9.674644164721802000E-3 " " relative error = 1.9295830438594335 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5230000000000004 " " y[1] (analytic) = 0.5005186444813579 " " y[1] (numeric) = 0.4907789245689647 " " absolute error = 9.739719912393141000E-3 " " relative error = 1.9459254954399412 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5240000000000004 " " y[1] (analytic) = 0.49965256973008554 " " y[1] (numeric) = 0.48984750310172487 " " absolute error = 9.80506662836067000E-3 " " relative error = 1.9623769039469585 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5250000000000004 " " y[1] (analytic) = 0.49878699532620185 " " y[1] (numeric) = 0.48891631064741725 " " absolute error = 9.870684678784603000E-3 " " relative error = 1.9789378574975216 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5260000000000004 " " y[1] (analytic) = 0.49792192213528097 " " y[1] (numeric) = 0.48798534770682206 " " absolute error = 9.93657442845891100E-3 " " relative error = 1.9956089472516199 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5270000000000004 " " y[1] (analytic) = 0.49705735102239623 " " y[1] (numeric) = 0.4870546147815848 " " absolute error = 1.000273624081143800E-2 " " relative error = 2.0123907674309276 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5280000000000004 " " y[1] (analytic) = 0.4961932828521184 " " y[1] (numeric) = 0.4861241123742158 " " absolute error = 1.006917047790256700E-2 " " relative error = 2.0292839153373836 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5290000000000004 " " y[1] (analytic) = 0.4953297184885158 " " y[1] (numeric) = 0.4851938409880899 " " absolute error = 1.013587750042593800E-2 " " relative error = 2.046288991372307 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5300000000000004 " " y[1] (analytic) = 0.4944666587951527 " " y[1] (numeric) = 0.48426380112744544 " " absolute error = 1.020285766770728800E-2 " " relative error = 2.0634065990552704 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5310000000000004 " " y[1] (analytic) = 0.49360410463508864 " " y[1] (numeric) = 0.4833339932973843 " " absolute error = 1.027011133770433500E-2 " " relative error = 2.080637345043315 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5320000000000004 " " y[1] (analytic) = 0.4927420568708778 " " y[1] (numeric) = 0.48240441800387107 " " absolute error = 1.033763886700672700E-2 " " relative error = 2.0979818391503136 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5330000000000004 " " y[1] (analytic) = 0.49188051636456775 " " y[1] (numeric) = 0.4814750757537327 " " absolute error = 1.040544061083503700E-2 " " relative error = 2.1154406943662765 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5340000000000004 " " y[1] (analytic) = 0.491019483977699 " " y[1] (numeric) = 0.4805459670546579 " " absolute error = 1.047351692304110400E-2 " " relative error = 2.1330145268770613 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5350000000000004 " " y[1] (analytic) = 0.4901589605713039 " " y[1] (numeric) = 0.4796170924151967 " " absolute error = 1.054186815610724800E-2 " " relative error = 2.150703956084 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5360000000000004 " " y[1] (analytic) = 0.4892989470059057 " " y[1] (numeric) = 0.47868845234475976 " " absolute error = 1.061049466114594200E-2 " " relative error = 2.168509604623751 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5370000000000004 " " y[1] (analytic) = 0.48843944414151796 " " y[1] (numeric) = 0.47776004735361827 " " absolute error = 1.067939678789969800E-2 " " relative error = 2.1864320983883325 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5380000000000004 " " y[1] (analytic) = 0.4875804528376434 " " y[1] (numeric) = 0.47683187795290294 " " absolute error = 1.074857488474045800E-2 " " relative error = 2.2044720665452036 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5390000000000004 " " y[1] (analytic) = 0.4867219739532733 " " y[1] (numeric) = 0.47590394465460384 " " absolute error = 1.081802929866948500E-2 " " relative error = 2.2226301415575795 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5400000000000004 " " y[1] (analytic) = 0.4858640083468866 " " y[1] (numeric) = 0.4749762479715698 " " absolute error = 1.088776037531680200E-2 " " relative error = 2.240906959204806 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5410000000000004 " " y[1] (analytic) = 0.48500655687644856 " " y[1] (numeric) = 0.47404878841750775 " " absolute error = 1.095776845894080900E-2 " " relative error = 2.2593031586029073 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5420000000000004 " " y[1] (analytic) = 0.4841496203994108 " " y[1] (numeric) = 0.4731215665069825 " " absolute error = 1.10280538924282800E-2 " " relative error = 2.277819382225359 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5430000000000004 " " y[1] (analytic) = 0.4832931997727097 " " y[1] (numeric) = 0.4721945827554159 " " absolute error = 1.109861701729375500E-2 " " relative error = 2.296456275923886 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5440000000000004 " " y[1] (analytic) = 0.4824372958527656 " " y[1] (numeric) = 0.4712678376790866 " " absolute error = 1.116945817367903700E-2 " " relative error = 2.3152144889494255 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5450000000000004 " " y[1] (analytic) = 0.48158190949548274 " " y[1] (numeric) = 0.47034133179512927 " " absolute error = 1.124057770035347100E-2 " " relative error = 2.334094673973402 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5460000000000004 " " y[1] (analytic) = 0.480727041556247 " " y[1] (numeric) = 0.46941506562153434 " " absolute error = 1.13119759347126700E-2 " " relative error = 2.35309748710883 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5470000000000004 " " y[1] (analytic) = 0.4798726928899265 " " y[1] (numeric) = 0.46848903967714733 " " absolute error = 1.138365321277917700E-2 " " relative error = 2.3722235879319697 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5480000000000004 " " y[1] (analytic) = 0.4790188643508698 " " y[1] (numeric) = 0.4675632544816684 " " absolute error = 1.14556098692014110E-2 " " relative error = 2.391473639503778 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5490000000000004 " " y[1] (analytic) = 0.4781655567929053 " " y[1] (numeric) = 0.4666377105556518 " " absolute error = 1.152784623725350300E-2 " " relative error = 2.4108483083916985 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5500000000000004 " " y[1] (analytic) = 0.47731277106934056 " " y[1] (numeric) = 0.4657124084205052 " " absolute error = 1.16003626488353500E-2 " " relative error = 2.4303482646916508 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5510000000000004 " " y[1] (analytic) = 0.47646050803296114 " " y[1] (numeric) = 0.4647873485984895 " " absolute error = 1.167315943447161400E-2 " " relative error = 2.449974182049958 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5520000000000004 " " y[1] (analytic) = 0.47560876853603007 " " y[1] (numeric) = 0.4638625316127181 " " absolute error = 1.174623692331194800E-2 " " relative error = 2.4697267376856833 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5530000000000004 " " y[1] (analytic) = 0.4747575534302867 " " y[1] (numeric) = 0.46293795798715637 " " absolute error = 1.181959544313032600E-2 " " relative error = 2.4896066124129423 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5540000000000004 " " y[1] (analytic) = 0.4739068635669462 " " y[1] (numeric) = 0.46201362824662107 " " absolute error = 1.189323532032515700E-2 " " relative error = 2.5096144906635365 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5550000000000004 " " y[1] (analytic) = 0.4730566997966983 " " y[1] (numeric) = 0.46108954291678 " " absolute error = 1.196715687991828400E-2 " " relative error = 2.5297510605095144 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5560000000000004 " " y[1] (analytic) = 0.4722070629697067 " " y[1] (numeric) = 0.46016570252415145 " " absolute error = 1.20413604455552600E-2 " " relative error = 2.550017013686164 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5570000000000004 " " y[1] (analytic) = 0.4713579539356081 " " y[1] (numeric) = 0.4592421075961035 " " absolute error = 1.211584633950457700E-2 " " relative error = 2.57041304561495 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5580000000000004 " " y[1] (analytic) = 0.4705093735435115 " " y[1] (numeric) = 0.45831875866085364 " " absolute error = 1.21906148826578800E-2 " " relative error = 2.590939855426817 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5590000000000004 " " y[1] (analytic) = 0.46966132264199734 " " y[1] (numeric) = 0.4573956562474682 " " absolute error = 1.22656663945291400E-2 " " relative error = 2.611598145985449 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5600000000000004 " " y[1] (analytic) = 0.46881380207911627 " " y[1] (numeric) = 0.45647280088586184 " " absolute error = 1.23410011932544300E-2 " " relative error = 2.632388623910817 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5610000000000004 " " y[1] (analytic) = 0.4679668127023888 " " y[1] (numeric) = 0.455550193106797 " " absolute error = 1.241661959559181600E-2 " " relative error = 2.6533119996029226 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5620000000000004 " " y[1] (analytic) = 0.46712035535880436 " " y[1] (numeric) = 0.45462783344188334 " " absolute error = 1.249252191692101800E-2 " " relative error = 2.674368987265662 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5630000000000004 " " y[1] (analytic) = 0.46627443089482024 " " y[1] (numeric) = 0.4537057224235773 " " absolute error = 1.256870847124291800E-2 " " relative error = 2.695560304930832 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5640000000000004 " " y[1] (analytic) = 0.46542904015636055 " " y[1] (numeric) = 0.45278386058518155 " " absolute error = 1.264517957117900E-2 " " relative error = 2.716886674482293 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5650000000000004 " " y[1] (analytic) = 0.4645841839888163 " " y[1] (numeric) = 0.4518622484608443 " " absolute error = 1.272193552797201700E-2 " " relative error = 2.7383488216805647 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5660000000000004 " " y[1] (analytic) = 0.4637398632370434 " " y[1] (numeric) = 0.45094088658555886 " " absolute error = 1.27989766514845500E-2 " " relative error = 2.7599474761871563 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5670000000000004 " " y[1] (analytic) = 0.46289607874536265 " " y[1] (numeric) = 0.4500197754951633 " " absolute error = 1.287630325019934000E-2 " " relative error = 2.7816833715894456 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5680000000000004 " " y[1] (analytic) = 0.46205283135755826 " " y[1] (numeric) = 0.44909891572633964 " " absolute error = 1.295391563121861500E-2 " " relative error = 2.803557245425527 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5690000000000004 " " y[1] (analytic) = 0.4612101219168777 " " y[1] (numeric) = 0.44817830781661344 " " absolute error = 1.303181410026427200E-2 " " relative error = 2.8255698392094155 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5700000000000004 " " y[1] (analytic) = 0.4603679512660305 " " y[1] (numeric) = 0.44725795230435317 " " absolute error = 1.310999896167730500E-2 " " relative error = 2.8477218984562844 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5710000000000004 " " y[1] (analytic) = 0.45952632024718687 " " y[1] (numeric) = 0.44633784972876983 " " absolute error = 1.31884705184170400E-2 " " relative error = 2.870014172707831 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5720000000000004 " " y[1] (analytic) = 0.458685229701978 " " y[1] (numeric) = 0.44541800062991627 " " absolute error = 1.326722907206173700E-2 " " relative error = 2.8924474155581303 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5730000000000004 " " y[1] (analytic) = 0.4578446804714943 " " y[1] (numeric) = 0.44449840554868675 " " absolute error = 1.334627492280754400E-2 " " relative error = 2.915022384679315 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5740000000000004 " " y[1] (analytic) = 0.45700467339628503 " " y[1] (numeric) = 0.44357906502681627 " " absolute error = 1.342560836946876700E-2 " " relative error = 2.9377398418477316 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5750000000000004 " " y[1] (analytic) = 0.45616520931635707 " " y[1] (numeric) = 0.44265997960688014 " " absolute error = 1.35052297094769300E-2 " " relative error = 2.9606005529700226 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5760000000000004 " " y[1] (analytic) = 0.45532628907117445 " " y[1] (numeric) = 0.44174114983229346 " " absolute error = 1.358513923888099400E-2 " " relative error = 2.9836052881096506 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5770000000000004 " " y[1] (analytic) = 0.45448791349965745 " " y[1] (numeric) = 0.44082257624731047 " " absolute error = 1.366533725234697600E-2 " " relative error = 3.0067548215134825 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5780000000000004 " " y[1] (analytic) = 0.45365008344018143 " " y[1] (numeric) = 0.4399042593970241 " " absolute error = 1.374582404315733000E-2 " " relative error = 3.030049931638525 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5790000000000004 " " y[1] (analytic) = 0.4528127997305764 " " y[1] (numeric) = 0.4389861998273653 " " absolute error = 1.382659990321111200E-2 " " relative error = 3.0534914011790164 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5800000000000004 " " y[1] (analytic) = 0.4519760632081261 " " y[1] (numeric) = 0.4380683980851026 " " absolute error = 1.390766512302349400E-2 " " relative error = 3.0770800170935795 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5810000000000004 " " y[1] (analytic) = 0.45113987470956696 " " y[1] (numeric) = 0.43715085471784165 " " absolute error = 1.398901999172530400E-2 " " relative error = 3.100816570632578 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5820000000000004 " " y[1] (analytic) = 0.4503042350710873 " " y[1] (numeric) = 0.43623357027402443 " " absolute error = 1.40706647970628700E-2 " " relative error = 3.124701857365744 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5830000000000004 " " y[1] (analytic) = 0.4494691451283268 " " y[1] (numeric) = 0.4353165453029289 " " absolute error = 1.415259982539790500E-2 " " relative error = 3.1487366772100076 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5840000000000004 " " y[1] (analytic) = 0.44863460571637526 " " y[1] (numeric) = 0.4343997803546684 " " absolute error = 1.423482536170683800E-2 " " relative error = 3.1729218344574224 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5850000000000004 " " y[1] (analytic) = 0.4478006176697721 " " y[1] (numeric) = 0.43348327598019104 " " absolute error = 1.431734168958104200E-2 " " relative error = 3.1972581378034812 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5860000000000004 " " y[1] (analytic) = 0.44696718182250517 " " y[1] (numeric) = 0.43256703273127917 " " absolute error = 1.440014909122600E-2 " " relative error = 3.221746400375416 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5870000000000004 " " y[1] (analytic) = 0.4461342990080104 " " y[1] (numeric) = 0.4316510511605489 " " absolute error = 1.448324784746146700E-2 " " relative error = 3.246387439760918 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5880000000000004 " " y[1] (analytic) = 0.4453019700591705 " " y[1] (numeric) = 0.4307353318214495 " " absolute error = 1.456663823772097500E-2 " " relative error = 3.271182078036933 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5890000000000004 " " y[1] (analytic) = 0.44447019580831426 " " y[1] (numeric) = 0.4298198752682629 " " absolute error = 1.465032054005138700E-2 " " relative error = 3.296131141798673 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5900000000000004 " " y[1] (analytic) = 0.4436389770872159 " " y[1] (numeric) = 0.4289046820561029 " " absolute error = 1.47342950311130100E-2 " " relative error = 3.321235462188969 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5910000000000004 " " y[1] (analytic) = 0.44280831472709414 " " y[1] (numeric) = 0.42798975274091494 " " absolute error = 1.481856198617920200E-2 " " relative error = 3.3464958749277294 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5920000000000004 " " y[1] (analytic) = 0.4419782095586111 " " y[1] (numeric) = 0.42707508787947546 " " absolute error = 1.490312167913565600E-2 " " relative error = 3.3719132203415425 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5930000000000004 " " y[1] (analytic) = 0.4411486624118721 " " y[1] (numeric) = 0.4261606880293911 " " absolute error = 1.498797438248100600E-2 " " relative error = 3.3974883433937966 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5940000000000004 " " y[1] (analytic) = 0.44031967411642414 " " y[1] (numeric) = 0.4252465537490985 " " absolute error = 1.507312036732566500E-2 " " relative error = 3.4232220937146245 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5950000000000004 " " y[1] (analytic) = 0.4394912455012554 " " y[1] (numeric) = 0.4243326855978634 " " absolute error = 1.515855990339198800E-2 " " relative error = 3.44911532563137 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5960000000000004 " " y[1] (analytic) = 0.43866337739479444 " " y[1] (numeric) = 0.42341908413578044 " " absolute error = 1.524429325901399700E-2 " " relative error = 3.4751688981991817 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5970000000000004 " " y[1] (analytic) = 0.43783607062490937 " " y[1] (numeric) = 0.42250574992377227 " " absolute error = 1.533032070113710000E-2 " " relative error = 3.501383675231834 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5980000000000004 " " y[1] (analytic) = 0.43700932601890674 " " y[1] (numeric) = 0.42159268352358914 " " absolute error = 1.5416642495317600E-2 " " relative error = 3.5277605253327287 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5990000000000004 " " y[1] (analytic) = 0.43618314440353123 " " y[1] (numeric) = 0.4206798854978084 " " absolute error = 1.55032589057228500E-2 " " relative error = 3.5543003219262728 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6000000000000004 " " y[1] (analytic) = 0.4353575266049643 " " y[1] (numeric) = 0.41976735640983376 " " absolute error = 1.559017019513053700E-2 " " relative error = 3.5810039432893004 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6010000000000004 " " y[1] (analytic) = 0.43453247344882373 " " y[1] (numeric) = 0.41885509682389493 " " absolute error = 1.567737662492879600E-2 " " relative error = 3.6078722725829073 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6020000000000004 " " y[1] (analytic) = 0.43370798576016256 " " y[1] (numeric) = 0.4179431073050469 " " absolute error = 1.57648784551156500E-2 " " relative error = 3.634906197884379 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6030000000000004 " " y[1] (analytic) = 0.4328840643634685 " " y[1] (numeric) = 0.4170313884191694 " " absolute error = 1.585267594429906600E-2 " " relative error = 3.662106612219493 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6040000000000004 " " y[1] (analytic) = 0.4320607100826628 " " y[1] (numeric) = 0.4161199407329665 " " absolute error = 1.594076934969629300E-2 " " relative error = 3.689474413594902 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6050000000000004 " " y[1] (analytic) = 0.4312379237410996 " " y[1] (numeric) = 0.41520876481396574 " " absolute error = 1.602915892713385700E-2 " " relative error = 3.71701050503091 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6060000000000004 " " y[1] (analytic) = 0.4304157061615653 " " y[1] (numeric) = 0.4142978612305178 " " absolute error = 1.61178449310475100E-2 " " relative error = 3.7447157945944816 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6070000000000004 " " y[1] (analytic) = 0.4295940581662774 " " y[1] (numeric) = 0.4133872305517959 " " absolute error = 1.6206827614481500E-2 " " relative error = 3.772591195432348 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6080000000000004 " " y[1] (analytic) = 0.42877298057688384 " " y[1] (numeric) = 0.4124768733477951 " " absolute error = 1.629610722908875200E-2 " " relative error = 3.8006376258045664 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6090000000000004 " " y[1] (analytic) = 0.42795247421446203 " " y[1] (numeric) = 0.41156679018933195 " " absolute error = 1.638568402513007600E-2 " " relative error = 3.828856009118114 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6100000000000004 " " y[1] (analytic) = 0.4271325398995184 " " y[1] (numeric) = 0.4106569816480437 " " absolute error = 1.647555825147467600E-2 " " relative error = 3.8572472739610286 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6110000000000004 " " y[1] (analytic) = 0.42631317845198713 " " y[1] (numeric) = 0.4097474482963878 " " absolute error = 1.656573015559931200E-2 " " relative error = 3.885812354136503 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6120000000000004 " " y[1] (analytic) = 0.4254943906912295 " " y[1] (numeric) = 0.40883819070764144 " " absolute error = 1.665619998358808300E-2 " " relative error = 3.9145521886973746 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6130000000000004 " " y[1] (analytic) = 0.42467617743603336 " " y[1] (numeric) = 0.40792920945590083 " " absolute error = 1.674696798013253200E-2 " " relative error = 3.9434677219809524 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6140000000000004 " " y[1] (analytic) = 0.42385853950461183 " " y[1] (numeric) = 0.4070205051160807 " " absolute error = 1.683803438853115300E-2 " " relative error = 3.9725599036439716 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6150000000000004 " " y[1] (analytic) = 0.4230414777146029 " " y[1] (numeric) = 0.4061120782639136 " " absolute error = 1.692939945068927500E-2 " " relative error = 4.001829688697897 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6160000000000004 " " y[1] (analytic) = 0.42222499288306803 " " y[1] (numeric) = 0.40520392947594963 " " absolute error = 1.702106340711839700E-2 " " relative error = 4.031278037544369 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6170000000000004 " " y[1] (analytic) = 0.42140908582649217 " " y[1] (numeric) = 0.4042960593295555 " " absolute error = 1.71130264969366900E-2 " " relative error = 4.060905916011189 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6180000000000004 " " y[1] (analytic) = 0.4205937573607823 " " y[1] (numeric) = 0.40338846840291415 " " absolute error = 1.72052889578681600E-2 " " relative error = 4.090714295388266 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6190000000000004 " " y[1] (analytic) = 0.4197790083012668 " " y[1] (numeric) = 0.4024811572750242 " " absolute error = 1.729785102624259400E-2 " " relative error = 4.120704152464023 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6200000000000004 " " y[1] (analytic) = 0.4189648394626946 " " y[1] (numeric) = 0.4015741265256993 " " absolute error = 1.73907129369952900E-2 " " relative error = 4.1508764695620215 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6210000000000004 " " y[1] (analytic) = 0.4181512516592345 " " y[1] (numeric) = 0.40066737673556746 " " absolute error = 1.748387492366704200E-2 " " relative error = 4.181232234577942 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6220000000000004 " " y[1] (analytic) = 0.4173382457044743 " " y[1] (numeric) = 0.39976090848607065 " " absolute error = 1.757733721840365500E-2 " " relative error = 4.21177244101671 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6230000000000004 " " y[1] (analytic) = 0.4165258224114198 " " y[1] (numeric) = 0.3988547223594642 " " absolute error = 1.7671100051955602E-2 " " relative error = 4.242498088029972 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6240000000000004 " " y[1] (analytic) = 0.41571398259249426 " " y[1] (numeric) = 0.39794881893881595 " " absolute error = 1.776516365367830600E-2 " " relative error = 4.273410180453973 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6250000000000004 " " y[1] (analytic) = 0.41490272705953746 " " y[1] (numeric) = 0.3970431988080061 " " absolute error = 1.785952825153136500E-2 " " relative error = 4.3045097288474965 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6260000000000004 " " y[1] (analytic) = 0.4140920566238049 " " y[1] (numeric) = 0.3961378625517262 " " absolute error = 1.795419407207865500E-2 " " relative error = 4.335797749530297 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6270000000000004 " " y[1] (analytic) = 0.41328197209596684 " " y[1] (numeric) = 0.39523281075547895 " " absolute error = 1.804916134048789600E-2 " " relative error = 4.3672752646216955 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6280000000000004 " " y[1] (analytic) = 0.4124724742861078 " " y[1] (numeric) = 0.39432804400557725 " " absolute error = 1.814443028053053200E-2 " " relative error = 4.39894330207955 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6290000000000004 " " y[1] (analytic) = 0.4116635640037255 " " y[1] (numeric) = 0.39342356288914393 " " absolute error = 1.824000111458157200E-2 " " relative error = 4.430802895739518 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6300000000000004 " " y[1] (analytic) = 0.41085524205773016 " " y[1] (numeric) = 0.39251936799411097 " " absolute error = 1.833587406361919500E-2 " " relative error = 4.462855085354560 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6310000000000004 " " y[1] (analytic) = 0.4100475092564436 " " y[1] (numeric) = 0.391615459909219 " " absolute error = 1.843204934722464400E-2 " " relative error = 4.4951009166348195 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6320000000000005 " " y[1] (analytic) = 0.40924036640759875 " " y[1] (numeric) = 0.39071183922401653 " " absolute error = 1.852852718358222200E-2 " " relative error = 4.527541441287837 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6330000000000005 " " y[1] (analytic) = 0.40843381431833825 " " y[1] (numeric) = 0.38980850652885973 " " absolute error = 1.862530778947851800E-2 " " relative error = 4.560177717058884 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6340000000000005 " " y[1] (analytic) = 0.40762785379521405 " " y[1] (numeric) = 0.3889054624149115 " " absolute error = 1.872239138030257200E-2 " " relative error = 4.593010807771840 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6350000000000005 " " y[1] (analytic) = 0.40682248564418677 " " y[1] (numeric) = 0.38800270747414095 " " absolute error = 1.88197781700458200E-2 " " relative error = 4.626041783370325 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6360000000000005 " " y[1] (analytic) = 0.4060177106706243 " " y[1] (numeric) = 0.38710024229932294 " " absolute error = 1.89174683713013700E-2 " " relative error = 4.659271719959005 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6370000000000005 " " y[1] (analytic) = 0.4052135296793018 " " y[1] (numeric) = 0.3861980674840374 " " absolute error = 1.9015462195264400E-2 " " relative error = 4.692701699845464 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6380000000000005 " " y[1] (analytic) = 0.40440994347439996 " " y[1] (numeric) = 0.38529618362266865 " " absolute error = 1.911375985173130500E-2 " " relative error = 4.726332811582129 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6390000000000005 " " y[1] (analytic) = 0.4036069528595051 " " y[1] (numeric) = 0.384394591310405 " " absolute error = 1.92123615491001100E-2 " " relative error = 4.760166150008794 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6400000000000005 " " y[1] (analytic) = 0.40280455863760756 " " y[1] (numeric) = 0.383493291143238 " " absolute error = 1.931126749436956600E-2 " " relative error = 4.794202816295184 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6410000000000005 " " y[1] (analytic) = 0.4020027616111017 " " y[1] (numeric) = 0.38259228371796183 " " absolute error = 1.941047789313987700E-2 " " relative error = 4.828443917984228 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6420000000000005 " " y[1] (analytic) = 0.4012015625817844 " " y[1] (numeric) = 0.38169156963217293 " " absolute error = 1.950999294961147700E-2 " " relative error = 4.862890569035207 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6430000000000005 " " y[1] (analytic) = 0.40040096235085454 " " y[1] (numeric) = 0.38079114948426906 " " absolute error = 1.960981286658547400E-2 " " relative error = 4.897543889867632 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6440000000000005 " " y[1] (analytic) = 0.39960096171891246 " " y[1] (numeric) = 0.37989102387344903 " " absolute error = 1.970993784546343200E-2 " " relative error = 4.932405007405315 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6450000000000005 " " y[1] (analytic) = 0.3988015614859586 " " y[1] (numeric) = 0.3789911933997118 " " absolute error = 1.981036808624675500E-2 " " relative error = 4.96747505512068 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6460000000000005 " " y[1] (analytic) = 0.3980027624513931 " " y[1] (numeric) = 0.3780916586638562 " " absolute error = 1.99111037875369100E-2 " " relative error = 5.002755173079633 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6470000000000005 " " y[1] (analytic) = 0.39720456541401505 " " y[1] (numeric) = 0.37719242026747996 " " absolute error = 2.0012145146535099E-2 " " relative error = 5.038246507986634 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6480000000000005 " " y[1] (analytic) = 0.3964069711720214 " " y[1] (numeric) = 0.3762934788129795 " " absolute error = 2.011349235904191800E-2 " " relative error = 5.073950213230140 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6490000000000005 " " y[1] (analytic) = 0.3956099805230061 " " y[1] (numeric) = 0.37539483490354897 " " absolute error = 2.021514561945714200E-2 " " relative error = 5.1098674489284175 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6500000000000005 " " y[1] (analytic) = 0.3948135942639601 " " y[1] (numeric) = 0.37449648914317996 " " absolute error = 2.031710512078016600E-2 " " relative error = 5.145999381975885 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6510000000000005 " " y[1] (analytic) = 0.3940178131912693 " " y[1] (numeric) = 0.37359844213666066 " " absolute error = 2.041937105460861500E-2 " " relative error = 5.182347186089370 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6520000000000005 " " y[1] (analytic) = 0.3932226381007148 " " y[1] (numeric) = 0.3727006944895754 " " absolute error = 2.052194361113940400E-2 " " relative error = 5.218912041855330 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6530000000000005 " " y[1] (analytic) = 0.3924280697874717 " " y[1] (numeric) = 0.3718032468083039 " " absolute error = 2.06248229791677900E-2 " " relative error = 5.255695136776946 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6540000000000005 " " y[1] (analytic) = 0.3916341090461082 " " y[1] (numeric) = 0.37090609970002086 " " absolute error = 2.072800934608731700E-2 " " relative error = 5.29269766532183 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6550000000000005 " " y[1] (analytic) = 0.3908407566705848 " " y[1] (numeric) = 0.37000925377269517 " " absolute error = 2.083150289788965300E-2 " " relative error = 5.329920828970051 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6560000000000005 " " y[1] (analytic) = 0.3900480134542541 " " y[1] (numeric) = 0.36911270963508935 " " absolute error = 2.093530381916475200E-2 " " relative error = 5.367365836262643 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6570000000000005 " " y[1] (analytic) = 0.3892558801898591 " " y[1] (numeric) = 0.36821646789675905 " " absolute error = 2.10394122931000800E-2 " " relative error = 5.405033902850262 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6580000000000005 " " y[1] (analytic) = 0.388464357669533 " " y[1] (numeric) = 0.36732052916805236 " " absolute error = 2.114382850148066600E-2 " " relative error = 5.442926251542423 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6590000000000005 " " y[1] (analytic) = 0.3876734466847983 " " y[1] (numeric) = 0.36642489406010914 " " absolute error = 2.124855262468916500E-2 " " relative error = 5.481044112357148 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6600000000000005 " " y[1] (analytic) = 0.38688314802656587 " " y[1] (numeric) = 0.36552956318486046 " " absolute error = 2.13535848417054090E-2 " " relative error = 5.519388722570862 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6610000000000005 " " y[1] (analytic) = 0.3860934624851343 " " y[1] (numeric) = 0.364634537155028 " " absolute error = 2.145892533010629300E-2 " " relative error = 5.55796132676878 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6620000000000005 " " y[1] (analytic) = 0.3853043908501891 " " y[1] (numeric) = 0.3637398165841236 " " absolute error = 2.156457426606550600E-2 " " relative error = 5.596763176895658 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6630000000000005 " " y[1] (analytic) = 0.38451593391080174 " " y[1] (numeric) = 0.3628454020864481 " " absolute error = 2.167053182435363400E-2 " " relative error = 5.635795532307035 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6640000000000005 " " y[1] (analytic) = 0.38372809245542927 " " y[1] (numeric) = 0.36195129427709155 " " absolute error = 2.17767981783377200E-2 " " relative error = 5.675059659820746 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6650000000000005 " " y[1] (analytic) = 0.382940867271913 " " y[1] (numeric) = 0.3610574937719318 " " absolute error = 2.188337349998120700E-2 " " relative error = 5.714556833768955 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6660000000000005 " " y[1] (analytic) = 0.382154259147478 " " y[1] (numeric) = 0.3601640011876345 " " absolute error = 2.19902579598435500E-2 " " relative error = 5.7542883360505055 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6670000000000005 " " y[1] (analytic) = 0.38136826886873243 " " y[1] (numeric) = 0.35927081714165193 " " absolute error = 2.209745172708049700E-2 " " relative error = 5.79425545618387 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6680000000000005 " " y[1] (analytic) = 0.3805828972216664 " " y[1] (numeric) = 0.3583779422522229 " " absolute error = 2.22049549694434700E-2 " " relative error = 5.834459491360285 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6690000000000005 " " y[1] (analytic) = 0.37979814499165154 " " y[1] (numeric) = 0.35748537713837186 " " absolute error = 2.23127678532796800E-2 " " relative error = 5.87490174649751 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6700000000000005 " " y[1] (analytic) = 0.37901401296343995 " " y[1] (numeric) = 0.35659312241990826 " " absolute error = 2.24208905435316900E-2 " " relative error = 5.915583534293871 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6710000000000005 " " y[1] (analytic) = 0.3782305019211637 " " y[1] (numeric) = 0.355701178717426 " " absolute error = 2.252932320373768300E-2 " " relative error = 5.956506175282916 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6720000000000005 " " y[1] (analytic) = 0.3774476126483337 " " y[1] (numeric) = 0.3548095466523029 " " absolute error = 2.2638065996030798E-2 " " relative error = 5.997670997888278 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6730000000000005 " " y[1] (analytic) = 0.3766653459278392 " " y[1] (numeric) = 0.3539182268466998 " " absolute error = 2.274711908113935500E-2 " " relative error = 6.039079338479204 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6740000000000005 " " y[1] (analytic) = 0.3758837025419467 " " y[1] (numeric) = 0.35302721992356034 " " absolute error = 2.285648261838635300E-2 " " relative error = 6.080732541426344 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6750000000000005 " " y[1] (analytic) = 0.3751026832722998 " " y[1] (numeric) = 0.35213652650660987 " " absolute error = 2.296615676568991600E-2 " " relative error = 6.122631959158235 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6760000000000005 " " y[1] (analytic) = 0.3743222888999175 " " y[1] (numeric) = 0.35124614722035524 " " absolute error = 2.307614167956223400E-2 " " relative error = 6.164778952217858 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6770000000000005 " " y[1] (analytic) = 0.3735425202051942 " " y[1] (numeric) = 0.350356082690084 " " absolute error = 2.31864375151101800E-2 " " relative error = 6.207174889320075 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6780000000000005 " " y[1] (analytic) = 0.3727633779678984 " " y[1] (numeric) = 0.34946633354186374 " " absolute error = 2.32970444260346400E-2 " " relative error = 6.249821147409211 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6790000000000005 " " y[1] (analytic) = 0.37198486296717237 " " y[1] (numeric) = 0.34857690040254147 " " absolute error = 2.340796256463090200E-2 " " relative error = 6.292719111717364 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6800000000000005 " " y[1] (analytic) = 0.3712069759815311 " " y[1] (numeric) = 0.3476877838997431 " " absolute error = 2.351919208178798700E-2 " " relative error = 6.335870175822922 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6810000000000005 " " y[1] (analytic) = 0.37042971778886147 " " y[1] (numeric) = 0.3467989846618727 " " absolute error = 2.363073312698876800E-2 " " relative error = 6.379275741709762 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6820000000000005 " " y[1] (analytic) = 0.3696530891664215 " " y[1] (numeric) = 0.3459105033181119 " " absolute error = 2.374258584830957200E-2 " " relative error = 6.422937219826784 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6830000000000005 " " y[1] (analytic) = 0.36887709089083986 " " y[1] (numeric) = 0.34502234049841934 " " absolute error = 2.38547503924205200E-2 " " relative error = 6.4668560291481345 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6840000000000005 " " y[1] (analytic) = 0.3681017237381148 " " y[1] (numeric) = 0.3441344968335299 " " absolute error = 2.39672269045848600E-2 " " relative error = 6.511033597233653 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6850000000000005 " " y[1] (analytic) = 0.3673269884836132 " " y[1] (numeric) = 0.3432469729549542 " " absolute error = 2.408001552865901600E-2 " " relative error = 6.555471360290001 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6860000000000005 " " y[1] (analytic) = 0.3665528859020706 " " y[1] (numeric) = 0.3423597694949779 " " absolute error = 2.419311640709270700E-2 " " relative error = 6.600170763232299 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6870000000000005 " " y[1] (analytic) = 0.3657794167675892 " " y[1] (numeric) = 0.34147288708666096 " " absolute error = 2.430652968092822400E-2 " " relative error = 6.645133259746060 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6880000000000005 " " y[1] (analytic) = 0.3650065818536382 " " y[1] (numeric) = 0.34058632636383734 " " absolute error = 2.44202554898008680E-2 " " relative error = 6.690360312349930 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6890000000000005 " " y[1] (analytic) = 0.36423438193305235 " " y[1] (numeric) = 0.339700087961114 " " absolute error = 2.453429397193834800E-2 " " relative error = 6.7358533924586625 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6900000000000005 " " y[1] (analytic) = 0.3634628177780317 " " y[1] (numeric) = 0.33881417251387047 " " absolute error = 2.464864526416121700E-2 " " relative error = 6.7816139804468945 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6910000000000005 " " y[1] (analytic) = 0.36269189016014014 " " y[1] (numeric) = 0.3379285806582581 " " absolute error = 2.476330950188204700E-2 " " relative error = 6.827643565713105 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6920000000000005 " " y[1] (analytic) = 0.36192159985030536 " " y[1] (numeric) = 0.3370433130311996 " " absolute error = 2.487828681910575500E-2 " " relative error = 6.8739436467444 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6930000000000005 " " y[1] (analytic) = 0.3611519476188175 " " y[1] (numeric) = 0.3361583702703882 " " absolute error = 2.49935773484293300E-2 " " relative error = 6.920515731181692 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6940000000000005 " " y[1] (analytic) = 0.36038293423532886 " " y[1] (numeric) = 0.33527375301428713 " " absolute error = 2.51091812210417200E-2 " " relative error = 6.967361335885431 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6950000000000005 " " y[1] (analytic) = 0.35961456046885265 " " y[1] (numeric) = 0.3343894619021289 " " absolute error = 2.522509856672372500E-2 " " relative error = 7.0144819870019 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6960000000000005 " " y[1] (analytic) = 0.3588468270877626 " " y[1] (numeric) = 0.33350549757391484 " " absolute error = 2.534132951384776600E-2 " " relative error = 7.061879220030021 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6970000000000005 " " y[1] (analytic) = 0.35807973485979205 " " y[1] (numeric) = 0.3326218606704142 " " absolute error = 2.545787418937784000E-2 " " relative error = 7.10955457988875 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6980000000000005 " " y[1] (analytic) = 0.35731328455203315 " " y[1] (numeric) = 0.33173855183316375 " " absolute error = 2.557473271886940000E-2 " " relative error = 7.157509620985032 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6990000000000005 " " y[1] (analytic) = 0.35654747693093614 " " y[1] (numeric) = 0.33085557170446694 " " absolute error = 2.56919052264691900E-2 " " relative error = 7.205745907282289 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7000000000000005 " " y[1] (analytic) = 0.35578231276230854 " " y[1] (numeric) = 0.3299729209273934 " " absolute error = 2.580939183491515000E-2 " " relative error = 7.254265012369493 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7010000000000005 " " y[1] (analytic) = 0.3550177928113145 " " y[1] (numeric) = 0.32909060014577823 " " absolute error = 2.59271926655362800E-2 " " relative error = 7.303068519530826 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7020000000000005 " " y[1] (analytic) = 0.35425391784247395 " " y[1] (numeric) = 0.3282086100042214 " " absolute error = 2.60453078382525400E-2 " " relative error = 7.352158021815895 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7030000000000005 " " y[1] (analytic) = 0.3534906886196617 " " y[1] (numeric) = 0.3273269511480871 " " absolute error = 2.616373747157463300E-2 " " relative error = 7.4015351221105306 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7040000000000005 " " y[1] (analytic) = 0.35272810590610704 " " y[1] (numeric) = 0.3264456242235029 " " absolute error = 2.628248168260416400E-2 " " relative error = 7.451201433208250 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7050000000000005 " " y[1] (analytic) = 0.3519661704643924 " " y[1] (numeric) = 0.32556462987735946 " " absolute error = 2.640154058703292300E-2 " " relative error = 7.501158577882106 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7060000000000005 " " y[1] (analytic) = 0.35120488305645337 " " y[1] (numeric) = 0.32468396875730965 " " absolute error = 2.652091429914371600E-2 " " relative error = 7.551408188957525 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7070000000000005 " " y[1] (analytic) = 0.35044424444357725 " " y[1] (numeric) = 0.32380364151176794 " " absolute error = 2.66406029318093100E-2 " " relative error = 7.6019519093852725 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7080000000000005 " " y[1] (analytic) = 0.34968425538640246 " " y[1] (numeric) = 0.3229236487899098 " " absolute error = 2.676060659649265300E-2 " " relative error = 7.652791392315356 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7090000000000005 " " y[1] (analytic) = 0.3489249166449181 " " y[1] (numeric) = 0.32204399124167093 " " absolute error = 2.688092540324716000E-2 " " relative error = 7.703928301171570 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7100000000000005 " " y[1] (analytic) = 0.34816622897846294 " " y[1] (numeric) = 0.3211646695177468 " " absolute error = 2.70015594607161400E-2 " " relative error = 7.7553643097264375 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7110000000000005 " " y[1] (analytic) = 0.34740819314572435 " " y[1] (numeric) = 0.32028568426959175 " " absolute error = 2.7122508876132600E-2 " " relative error = 7.807101102176872 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7120000000000005 " " y[1] (analytic) = 0.3466508099047384 " " y[1] (numeric) = 0.3194070361494186 " " absolute error = 2.724377375531978000E-2 " " relative error = 7.859140373220684 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7130000000000005 " " y[1] (analytic) = 0.345894080012888 " " y[1] (numeric) = 0.3185287258101979 " " absolute error = 2.736535420269009500E-2 " " relative error = 7.911483828133301 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7140000000000005 " " y[1] (analytic) = 0.345138004226903 " " y[1] (numeric) = 0.3176507539056572 " " absolute error = 2.74872503212457700E-2 " " relative error = 7.964133182845583 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7150000000000005 " " y[1] (analytic) = 0.3443825833028593 " " y[1] (numeric) = 0.31677312109028044 " " absolute error = 2.760946221257887000E-2 " " relative error = 8.017090164022136 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7160000000000005 " " y[1] (analytic) = 0.3436278179961777 " " y[1] (numeric) = 0.3158958280193073 " " absolute error = 2.773198997687037500E-2 " " relative error = 8.070356509140028 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7170000000000005 " " y[1] (analytic) = 0.3428737090616233 " " y[1] (numeric) = 0.31501887534873263 " " absolute error = 2.78548337128906600E-2 " " relative error = 8.123933966568554 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7180000000000005 " " y[1] (analytic) = 0.3421202572533052 " " y[1] (numeric) = 0.31414226373530557 " " absolute error = 2.797799351799962000E-2 " " relative error = 8.177824295649577 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7190000000000005 " " y[1] (analytic) = 0.34136746332467494 " " y[1] (numeric) = 0.31326599383652926 " " absolute error = 2.81014694881456800E-2 " " relative error = 8.23202926677823 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7200000000000005 " " y[1] (analytic) = 0.34061532802852645 " " y[1] (numeric) = 0.31239006631065974 " " absolute error = 2.822526171786671000E-2 " " relative error = 8.286550661484869 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7210000000000005 " " y[1] (analytic) = 0.339863852116995 " " y[1] (numeric) = 0.31151448181670566 " " absolute error = 2.834937030028933400E-2 " " relative error = 8.341390272517222 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7220000000000005 " " y[1] (analytic) = 0.33911303634155643 " " y[1] (numeric) = 0.3106392410144274 " " absolute error = 2.847379532712901500E-2 " " relative error = 8.396549903923498 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7230000000000005 " " y[1] (analytic) = 0.3383628814530265 " " y[1] (numeric) = 0.3097643445643366 " " absolute error = 2.859853688868990700E-2 " " relative error = 8.452031371136117 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7240000000000005 " " y[1] (analytic) = 0.33761338820155995 " " y[1] (numeric) = 0.3088897931276952 " " absolute error = 2.87235950738647400E-2 " " relative error = 8.507836501056158 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7250000000000005 " " y[1] (analytic) = 0.3368645573366499 " " y[1] (numeric) = 0.30801558736651513 " " absolute error = 2.884896997013475000E-2 " " relative error = 8.563967132138561 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7260000000000005 " " y[1] (analytic) = 0.3361163896071274 " " y[1] (numeric) = 0.3071417279435574 " " absolute error = 2.897466166357004500E-2 " " relative error = 8.620425114478152 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7270000000000005 " " y[1] (analytic) = 0.33536888576115986 " " y[1] (numeric) = 0.30626821552233147 " " absolute error = 2.910067023882839700E-2 " " relative error = 8.677212309895994 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7280000000000005 " " y[1] (analytic) = 0.3346220465462513 " " y[1] (numeric) = 0.3053950507670948 " " absolute error = 2.922699577915649500E-2 " " relative error = 8.734330592027133 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7290000000000005 " " y[1] (analytic) = 0.3338758727092406 " " y[1] (numeric) = 0.30452223434285186 " " absolute error = 2.935363836638871000E-2 " " relative error = 8.791781846408425 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7300000000000005 " " y[1] (analytic) = 0.3331303649963018 " " y[1] (numeric) = 0.3036497669153537 " " absolute error = 2.94805980809480500E-2 " " relative error = 8.849567970567717 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7310000000000005 " " y[1] (analytic) = 0.3323855241529423 " " y[1] (numeric) = 0.3027776491510973 " " absolute error = 2.96078750018450300E-2 " " relative error = 8.907690874113218 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7320000000000005 " " y[1] (analytic) = 0.33164135092400304 " " y[1] (numeric) = 0.3019058817173246 " " absolute error = 2.973546920667846600E-2 " " relative error = 8.96615247882417 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7330000000000005 " " y[1] (analytic) = 0.33089784605365724 " " y[1] (numeric) = 0.30103446528202216 " " absolute error = 2.986338077163508400E-2 " " relative error = 9.024954718741972 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7340000000000005 " " y[1] (analytic) = 0.3301550102854096 " " y[1] (numeric) = 0.30016340051392043 " " absolute error = 2.99916097714891800E-2 " " relative error = 9.084099540262098 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7350000000000005 " " y[1] (analytic) = 0.32941284436209584 " " y[1] (numeric) = 0.299292688082493 " " absolute error = 3.01201562796028500E-2 " " relative error = 9.143588902226986 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7360000000000005 " " y[1] (analytic) = 0.3286713490258818 " " y[1] (numeric) = 0.29842232865795587 " " absolute error = 3.024902036792593000E-2 " " relative error = 9.203424776019622 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7370000000000005 " " y[1] (analytic) = 0.3279305250182629 " " y[1] (numeric) = 0.29755232291126704 " " absolute error = 3.037820210699588000E-2 " " relative error = 9.263609145657933 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7380000000000005 " " y[1] (analytic) = 0.32719037308006294 " " y[1] (numeric) = 0.2966826715141255 " " absolute error = 3.050770156593746000E-2 " " relative error = 9.32414400788995 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7390000000000005 " " y[1] (analytic) = 0.3264508939514338 " " y[1] (numeric) = 0.29581337513897077 " " absolute error = 3.063751881246301600E-2 " " relative error = 9.385031372289937 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7400000000000005 " " y[1] (analytic) = 0.3257120883718545 " " y[1] (numeric) = 0.29494443445898233 " " absolute error = 3.076765391287217000E-2 " " relative error = 9.446273261355218 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7410000000000005 " " y[1] (analytic) = 0.32497395708013077 " " y[1] (numeric) = 0.2940758501480786 " " absolute error = 3.089810693205219400E-2 " " relative error = 9.507871710604016 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7420000000000005 " " y[1] (analytic) = 0.3242365008143936 " " y[1] (numeric) = 0.29320762288091656 " " absolute error = 3.102887793347703000E-2 " " relative error = 9.56982876867378 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7430000000000005 " " y[1] (analytic) = 0.3234997203120994 " " y[1] (numeric) = 0.29233975333289103 " " absolute error = 3.115996697920836400E-2 " " relative error = 9.632146497420925 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7440000000000005 " " y[1] (analytic) = 0.3227636163100285 " " y[1] (numeric) = 0.29147224218013384 " " absolute error = 3.129137412989463400E-2 " " relative error = 9.694826972020884 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7450000000000006 " " y[1] (analytic) = 0.3220281895442848 " " y[1] (numeric) = 0.2906050900995134 " " absolute error = 3.142309944477139600E-2 " " relative error = 9.7578722810694 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7460000000000006 " " y[1] (analytic) = 0.3212934407502951 " " y[1] (numeric) = 0.28973829776863375 " " absolute error = 3.155514298166134400E-2 " " relative error = 9.82128452668462 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7470000000000006 " " y[1] (analytic) = 0.32055937066280804 " " y[1] (numeric) = 0.2888718658658341 " " absolute error = 3.168750479697396400E-2 " " relative error = 9.88506582460995 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7480000000000006 " " y[1] (analytic) = 0.3198259800158937 " " y[1] (numeric) = 0.288005795070188 " " absolute error = 3.18201849457057100E-2 " " relative error = 9.949218304317995 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7490000000000006 " " y[1] (analytic) = 0.3190932695429427 " " y[1] (numeric) = 0.28714008606150276 " " absolute error = 3.19531834814399400E-2 " " relative error = 10.013744109115335 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7500000000000006 " " y[1] (analytic) = 0.31836123997666543 " " y[1] (numeric) = 0.28627473952031884 " " absolute error = 3.20865004563465900E-2 " " relative error = 10.078645396248112 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7510000000000006 " " y[1] (analytic) = 0.3176298920490913 " " y[1] (numeric) = 0.285409756127909 " " absolute error = 3.222013592118233600E-2 " " relative error = 10.143924337008732 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7520000000000006 " " y[1] (analytic) = 0.3168992264915683 " " y[1] (numeric) = 0.28454513656627756 " " absolute error = 3.23540899252907630E-2 " " relative error = 10.209583116843488 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7530000000000006 " " y[1] (analytic) = 0.316169244034762 " " y[1] (numeric) = 0.28368088151816 " " absolute error = 3.248836251660197600E-2 " " relative error = 10.275623935460962 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7540000000000006 " " y[1] (analytic) = 0.3154399454086545 " " y[1] (numeric) = 0.2828169916670222 " " absolute error = 3.26229537416323200E-2 " " relative error = 10.342049006941425 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7550000000000006 " " y[1] (analytic) = 0.3147113313425447 " " y[1] (numeric) = 0.28195346769705937 " " absolute error = 3.27578636454853300E-2 " " relative error = 10.408860559847568 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7560000000000006 " " y[1] (analytic) = 0.3139834025650463 " " y[1] (numeric) = 0.28109031029319603 " " absolute error = 3.28930922718502770E-2 " " relative error = 10.476060837335499 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7570000000000006 " " y[1] (analytic) = 0.3132561598040883 " " y[1] (numeric) = 0.28022752014108476 " " absolute error = 3.30286396630035100E-2 " " relative error = 10.543652097267541 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7580000000000006 " " y[1] (analytic) = 0.3125296037869132 " " y[1] (numeric) = 0.27936509792710573 " " absolute error = 3.31645058598074600E-2 " " relative error = 10.611636612325357 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7590000000000006 " " y[1] (analytic) = 0.311803735240077 " " y[1] (numeric) = 0.27850304433836615 " " absolute error = 3.33006909017108400E-2 " " relative error = 10.680016670124422 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7600000000000006 " " y[1] (analytic) = 0.31107855488944824 " " y[1] (numeric) = 0.2776413600626993 " " absolute error = 3.34371948267489500E-2 " " relative error = 10.748794573329535 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7610000000000006 " " y[1] (analytic) = 0.3103540634602072 " " y[1] (numeric) = 0.276780045788664 " " absolute error = 3.35740176715432200E-2 " " relative error = 10.817972639771154 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7620000000000006 " " y[1] (analytic) = 0.30963026167684515 " " y[1] (numeric) = 0.275919102205544 " " absolute error = 3.371115947130115500E-2 " " relative error = 10.887553202562872 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7630000000000006 " " y[1] (analytic) = 0.30890715026316395 " " y[1] (numeric) = 0.2750585300033471 " " absolute error = 3.38486202598168300E-2 " " relative error = 10.957538610220107 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7640000000000006 " " y[1] (analytic) = 0.30818472994227497 " " y[1] (numeric) = 0.2741983298728046 " " absolute error = 3.398640006947034600E-2 " " relative error = 11.027931226779543 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7650000000000006 " " y[1] (analytic) = 0.3074630014365983 " " y[1] (numeric) = 0.2733385025053706 " " absolute error = 3.41244989312277100E-2 " " relative error = 11.098733431919772 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7660000000000006 " " y[1] (analytic) = 0.3067419654678625 " " y[1] (numeric) = 0.2724790485932212 " " absolute error = 3.42629168746412800E-2 " " relative error = 11.169947621083177 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7670000000000006 " " y[1] (analytic) = 0.30602162275710343 " " y[1] (numeric) = 0.27161996882925393 " " absolute error = 3.440165392784949600E-2 " " relative error = 11.241576205598681 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7680000000000006 " " y[1] (analytic) = 0.30530197402466386 " " y[1] (numeric) = 0.270761263907087 " " absolute error = 3.45407101175768670E-2 " " relative error = 11.313621612805717 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7690000000000006 " " y[1] (analytic) = 0.3045830199901923 " " y[1] (numeric) = 0.26990293452105857 " " absolute error = 3.46800854691337600E-2 " " relative error = 11.386086286179207 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7700000000000006 " " y[1] (analytic) = 0.30386476137264284 " " y[1] (numeric) = 0.2690449813662262 " " absolute error = 3.48197800064166700E-2 " " relative error = 11.458972685455826 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7710000000000006 " " y[1] (analytic) = 0.303147198890274 " " y[1] (numeric) = 0.2681874051383659 " " absolute error = 3.49597937519080500E-2 " " relative error = 11.532283286761283 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7720000000000006 " " y[1] (analytic) = 0.30243033326064817 " " y[1] (numeric) = 0.2673302065339718 " " absolute error = 3.51001267266763400E-2 " " relative error = 11.60602058273879 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7730000000000006 " " y[1] (analytic) = 0.301714165200631 " " y[1] (numeric) = 0.26647338625025513 " " absolute error = 3.52407789503758600E-2 " " relative error = 11.680187082678664 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7740000000000006 " " y[1] (analytic) = 0.30099869542639035 " " y[1] (numeric) = 0.26561694498514354 " " absolute error = 3.538175044124680600E-2 " " relative error = 11.754785312649124 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7750000000000006 " " y[1] (analytic) = 0.30028392465339604 " " y[1] (numeric) = 0.2647608834372807 " " absolute error = 3.552304121611532500E-2 " " relative error = 11.829817815628306 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7760000000000006 " " y[1] (analytic) = 0.29956985359641874 " " y[1] (numeric) = 0.26390520230602527 " " absolute error = 3.56646512903934800E-2 " " relative error = 11.905287151637424 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7770000000000006 " " y[1] (analytic) = 0.2988564829695296 " " y[1] (numeric) = 0.2630499022914503 " " absolute error = 3.58065806780792900E-2 " " relative error = 11.981195897875171 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7780000000000006 " " y[1] (analytic) = 0.298143813486099 " " y[1] (numeric) = 0.2621949840943427 " " absolute error = 3.594882939175625400E-2 " " relative error = 12.057546648853197 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7790000000000006 " " y[1] (analytic) = 0.29743184585879634 " " y[1] (numeric) = 0.26134044841620235 " " absolute error = 3.609139744259398700E-2 " " relative error = 12.134342016533134 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7800000000000006 " " y[1] (analytic) = 0.2967205807995894 " " y[1] (numeric) = 0.26048629595924133 " " absolute error = 3.623428484034807400E-2 " " relative error = 12.21158463046464 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7810000000000006 " " y[1] (analytic) = 0.296010019019743 " " y[1] (numeric) = 0.2596325274263835 " " absolute error = 3.63774915933595100E-2 " " relative error = 12.289277137924593 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7820000000000006 " " y[1] (analytic) = 0.29530016122981895 " " y[1] (numeric) = 0.25877914352126347 " " absolute error = 3.65210177085554800E-2 " " relative error = 12.367422204057926 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7830000000000006 " " y[1] (analytic) = 0.29459100813967487 " " y[1] (numeric) = 0.25792614494822624 " " absolute error = 3.66648631914486270E-2 " " relative error = 12.44602251201933 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7840000000000006 " " y[1] (analytic) = 0.29388256045846395 " " y[1] (numeric) = 0.25707353241232617 " " absolute error = 3.68090280461377800E-2 " " relative error = 12.52508076311667 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7850000000000006 " " y[1] (analytic) = 0.2931748188946337 " " y[1] (numeric) = 0.2562213066193265 " " absolute error = 3.69535122753071900E-2 " " relative error = 12.604599676955267 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7860000000000006 " " y[1] (analytic) = 0.29246778415592556 " " y[1] (numeric) = 0.25536946827569856 " " absolute error = 3.709831588022699500E-2 " " relative error = 12.684581991583897 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7870000000000006 " " y[1] (analytic) = 0.2917614569493744 " " y[1] (numeric) = 0.254518018088621 " " absolute error = 3.724343886075337500E-2 " " relative error = 12.765030463641999 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7880000000000006 " " y[1] (analytic) = 0.2910558379813073 " " y[1] (numeric) = 0.2536669567659792 " " absolute error = 3.738888121532807400E-2 " " relative error = 12.84594786850808 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7890000000000006 " " y[1] (analytic) = 0.2903509279573431 " " y[1] (numeric) = 0.2528162850163646 " " absolute error = 3.75346429409784700E-2 " " relative error = 12.927337000449633 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7900000000000006 " " y[1] (analytic) = 0.28964672758239174 " " y[1] (numeric) = 0.2519660035490737 " " absolute error = 3.768072403331801400E-2 " " relative error = 13.009200672774563 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7910000000000006 " " y[1] (analytic) = 0.28894323756065365 " " y[1] (numeric) = 0.25111611307410775 " " absolute error = 3.782712448654590400E-2 " " relative error = 13.091541717983764 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7920000000000006 " " y[1] (analytic) = 0.28824045859561875 " " y[1] (numeric) = 0.25026661430217173 " " absolute error = 3.79738442934470230E-2 " " relative error = 13.17436298792519 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7930000000000006 " " y[1] (analytic) = 0.287538391390066 " " y[1] (numeric) = 0.24941750794467382 " " absolute error = 3.81208834453921600E-2 " " relative error = 13.257667353949447 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7940000000000006 " " y[1] (analytic) = 0.2868370366460624 " " y[1] (numeric) = 0.2485687947137246 " " absolute error = 3.826824193233782600E-2 " " relative error = 13.341457707066699 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7950000000000006 " " y[1] (analytic) = 0.2861363950649628 " " y[1] (numeric) = 0.2477204753221363 " " absolute error = 3.84159197428264900E-2 " " relative error = 13.425736958105157 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7960000000000006 " " y[1] (analytic) = 0.2854364673474086 " " y[1] (numeric) = 0.24687255048342227 " " absolute error = 3.8563916863986303E-2 " " relative error = 13.510508037870872 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7970000000000006 " " y[1] (analytic) = 0.2847372541933275 " " y[1] (numeric) = 0.24602502091179604 " " absolute error = 3.87122332815314800E-2 " " relative error = 13.59577389730924 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7980000000000006 " " y[1] (analytic) = 0.28403875630193265 " " y[1] (numeric) = 0.24517788732217075 " " absolute error = 3.8860868979761903E-2 " " relative error = 13.681537507667748 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7990000000000006 " " y[1] (analytic) = 0.2833409743717218 " " y[1] (numeric) = 0.2443311504301584 " " absolute error = 3.90098239415633800E-2 " " relative error = 13.767801860660457 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8000000000000006 " " y[1] (analytic) = 0.2826439091004769 " " y[1] (numeric) = 0.24348481095206914 " " absolute error = 3.915909814840773400E-2 " " relative error = 13.85456996863396 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8010000000000006 " " y[1] (analytic) = 0.281947561185263 " " y[1] (numeric) = 0.24263886960491052 " " absolute error = 3.93086915803524700E-2 " " relative error = 13.941844864734755 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8020000000000006 " " y[1] (analytic) = 0.2812519313224281 " " y[1] (numeric) = 0.2417933271063868 " " absolute error = 3.945860421604130400E-2 " " relative error = 14.029629603078472 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8030000000000006 " " y[1] (analytic) = 0.2805570202076021 " " y[1] (numeric) = 0.24094818417489822 " " absolute error = 3.960883603270387600E-2 " " relative error = 14.117927258920403 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8040000000000006 " " y[1] (analytic) = 0.2798628285356959 " " y[1] (numeric) = 0.24010344152954033 " " absolute error = 3.975938700615555500E-2 " " relative error = 14.206740928827687 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8050000000000006 " " y[1] (analytic) = 0.27916935700090106 " " y[1] (numeric) = 0.2392590998901032 " " absolute error = 3.991025711079787500E-2 " " relative error = 14.296073730853296 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8060000000000006 " " y[1] (analytic) = 0.27847660629668924 " " y[1] (numeric) = 0.23841515997707072 " " absolute error = 4.00614463196185270E-2 " " relative error = 14.385928804711524 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8070000000000006 " " y[1] (analytic) = 0.27778457711581095 " " y[1] (numeric) = 0.23757162251161992 " " absolute error = 4.021295460419102600E-2 " " relative error = 14.476309311955022 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8080000000000006 " " y[1] (analytic) = 0.2770932701502954 " " y[1] (numeric) = 0.23672848821562023 " " absolute error = 4.03647819346751600E-2 " " relative error = 14.567218436153754 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8090000000000006 " " y[1] (analytic) = 0.27640268609144947 " " y[1] (numeric) = 0.23588575781163268 " " absolute error = 4.05169282798167900E-2 " " relative error = 14.658659383075431 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8100000000000006 " " y[1] (analytic) = 0.2757128256298571 " " y[1] (numeric) = 0.23504343202290934 " " absolute error = 4.06693936069477700E-2 " " relative error = 14.750635380867699 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8110000000000006 " " y[1] (analytic) = 0.2750236894553787 " " y[1] (numeric) = 0.23420151157339242 " " absolute error = 4.08221778819862770E-2 " " relative error = 14.843149680242178 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8120000000000006 " " y[1] (analytic) = 0.27433527825715054 " " y[1] (numeric) = 0.23335999718771366 " " absolute error = 4.097528106943687500E-2 " " relative error = 14.936205554660141 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8130000000000006 " " y[1] (analytic) = 0.27364759272358363 " " y[1] (numeric) = 0.2325188895911936 " " absolute error = 4.11287031323900300E-2 " " relative error = 15.029806300519837 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8140000000000006 " " y[1] (analytic) = 0.27296063354236333 " " y[1] (numeric) = 0.2316781895098408 " " absolute error = 4.12824440325225400E-2 " " relative error = 15.123955237345802 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8150000000000006 " " y[1] (analytic) = 0.272274401400449 " " y[1] (numeric) = 0.23083789767035112 " " absolute error = 4.143650373009788400E-2 " " relative error = 15.218655707980027 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8160000000000006 " " y[1] (analytic) = 0.27158889698407274 " " y[1] (numeric) = 0.2299980148001071 " " absolute error = 4.159088218396564400E-2 " " relative error = 15.313911078774598 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8170000000000006 " " y[1] (analytic) = 0.2709041209787386 " " y[1] (numeric) = 0.22915854162717703 " " absolute error = 4.17455793515615900E-2 " " relative error = 15.409724739786409 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8180000000000006 " " y[1] (analytic) = 0.2702200740692229 " " y[1] (numeric) = 0.22831947888031442 " " absolute error = 4.19005951889084570E-2 " " relative error = 15.506100104973951 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8190000000000006 " " y[1] (analytic) = 0.26953675693957213 " " y[1] (numeric) = 0.2274808272889572 " " absolute error = 4.20559296506149400E-2 " " relative error = 15.603040612395409 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8200000000000006 " " y[1] (analytic) = 0.26885417027310365 " " y[1] (numeric) = 0.22664258758322692 " " absolute error = 4.22115826898767370E-2 " " relative error = 15.700549724409319 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8210000000000006 " " y[1] (analytic) = 0.268172314752404 " " y[1] (numeric) = 0.22580476049392814 " " absolute error = 4.236755425847585400E-2 " " relative error = 15.798630927876589 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8220000000000006 " " y[1] (analytic) = 0.2674911910593286 " " y[1] (numeric) = 0.2249673467525476 " " absolute error = 4.25238443067810200E-2 " " relative error = 15.897287734364824 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8230000000000006 " " y[1] (analytic) = 0.2668107998750011 " " y[1] (numeric) = 0.22413034709125354 " " absolute error = 4.268045278374757400E-2 " " relative error = 15.996523680354414 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8240000000000006 " " y[1] (analytic) = 0.26613114187981257 " " y[1] (numeric) = 0.223293762242895 " " absolute error = 4.28373796369175830E-2 " " relative error = 16.09634232744673 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8250000000000006 " " y[1] (analytic) = 0.265452217753421 " " y[1] (numeric) = 0.22245759294100098 " " absolute error = 4.29946248124200E-2 " " relative error = 16.196747262574306 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8260000000000006 " " y[1] (analytic) = 0.2647740281747505 " " y[1] (numeric) = 0.2216218399197798 " " absolute error = 4.31521882549706900E-2 " " relative error = 16.297742098213014 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8270000000000006 " " y[1] (analytic) = 0.2640965738219906 " " y[1] (numeric) = 0.22078650391411836 " " absolute error = 4.33100699078722300E-2 " " relative error = 16.399330472596205 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8280000000000006 " " y[1] (analytic) = 0.2634198553725955 " " y[1] (numeric) = 0.21995158565958134 " " absolute error = 4.34682697130141500E-2 " " relative error = 16.501516049931105 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8290000000000006 " " y[1] (analytic) = 0.26274387350328365 " " y[1] (numeric) = 0.21911708589241052 " " absolute error = 4.36267876108731300E-2 " " relative error = 16.604302520617253 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8300000000000006 " " y[1] (analytic) = 0.2620686288900369 " " y[1] (numeric) = 0.21828300534952405 " " absolute error = 4.37856235405128500E-2 " " relative error = 16.707693601466946 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8310000000000006 " " y[1] (analytic) = 0.26139412220809966 " " y[1] (numeric) = 0.21744934476851568 " " absolute error = 4.39447774395839700E-2 " " relative error = 16.811693035927906 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8320000000000006 " " y[1] (analytic) = 0.2607203541319788 " " y[1] (numeric) = 0.21661610488765404 " " absolute error = 4.41042492443247670E-2 " " relative error = 16.91630459430829 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8330000000000006 " " y[1] (analytic) = 0.26004732533544206 " " y[1] (numeric) = 0.21578328644588185 " " absolute error = 4.42640388895602100E-2 " " relative error = 17.02153207400339 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8340000000000006 " " y[1] (analytic) = 0.2593750364915184 " " y[1] (numeric) = 0.21495089018281532 " " absolute error = 4.44241463087030600E-2 " " relative error = 17.127379299725224 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8350000000000006 " " y[1] (analytic) = 0.25870348827249656 " " y[1] (numeric) = 0.21411891683874323 " " absolute error = 4.45845714337533300E-2 " " relative error = 17.23385012373381 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8360000000000006 " " y[1] (analytic) = 0.25803268134992463 " " y[1] (numeric) = 0.21328736715462634 " " absolute error = 4.474531419529828600E-2 " " relative error = 17.340948426070895 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8370000000000006 " " y[1] (analytic) = 0.25736261639460956 " " y[1] (numeric) = 0.21245624187209658 " " absolute error = 4.490637452251297600E-2 " " relative error = 17.448678114796138 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8380000000000006 " " y[1] (analytic) = 0.2566932940766161 " " y[1] (numeric) = 0.21162554173345627 " " absolute error = 4.50677523431598500E-2 " " relative error = 17.557043126225313 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8390000000000006 " " y[1] (analytic) = 0.2560247150652667 " " y[1] (numeric) = 0.21079526748167746 " " absolute error = 4.52294475835892400E-2 " " relative error = 17.66604742517112 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8400000000000006 " " y[1] (analytic) = 0.25535688002914025 " " y[1] (numeric) = 0.20996541986040115 " " absolute error = 4.5391460168739100E-2 " " relative error = 17.77569500518616 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8410000000000006 " " y[1] (analytic) = 0.2546897896360717 " " y[1] (numeric) = 0.20913599961393656 " " absolute error = 4.55537900221351400E-2 " " relative error = 17.88598988880839 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8420000000000006 " " y[1] (analytic) = 0.2540234445531514 " " y[1] (numeric) = 0.20830700748726033 " " absolute error = 4.57164370658910700E-2 " " relative error = 17.99693612780904 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8430000000000006 " " y[1] (analytic) = 0.25335784544672435 " " y[1] (numeric) = 0.20747844422601586 " " absolute error = 4.58794012207084930E-2 " " relative error = 18.10853780344289 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8440000000000006 " " y[1] (analytic) = 0.2526929929823897 " " y[1] (numeric) = 0.2066503105765125 " " absolute error = 4.60426824058771670E-2 " " relative error = 18.220799026701112 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8450000000000006 " " y[1] (analytic) = 0.25202888782499977 " " y[1] (numeric) = 0.20582260728572482 " " absolute error = 4.620628053927494600E-2 " " relative error = 18.33372393856652 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8460000000000006 " " y[1] (analytic) = 0.25136553063865963 " " y[1] (numeric) = 0.2049953351012919 " " absolute error = 4.63701955373677370E-2 " " relative error = 18.44731671027136 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8470000000000006 " " y[1] (analytic) = 0.2507029220867265 " " y[1] (numeric) = 0.20416849477151652 " " absolute error = 4.653442731520998600E-2 " " relative error = 18.561581543557825 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8480000000000006 " " y[1] (analytic) = 0.25004106283180894 " " y[1] (numeric) = 0.20334208704536447 " " absolute error = 4.66989757864444700E-2 " " relative error = 18.676522670940937 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8490000000000006 " " y[1] (analytic) = 0.24937995353576592 " " y[1] (numeric) = 0.20251611267246372 " " absolute error = 4.6863840863302200E-2 " " relative error = 18.79214435597407 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8500000000000006 " " y[1] (analytic) = 0.24871959485970685 " " y[1] (numeric) = 0.20169057240310378 " " absolute error = 4.702902245660306500E-2 " " relative error = 18.908450893517387 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8510000000000006 " " y[1] (analytic) = 0.24805998746399038 " " y[1] (numeric) = 0.20086546698823488 " " absolute error = 4.71945204757555100E-2 " " relative error = 19.025446610008597 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8520000000000006 " " y[1] (analytic) = 0.24740113200822367 " " y[1] (numeric) = 0.20004079717946724 " " absolute error = 4.73603348287564300E-2 " " relative error = 19.143135863736532 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8530000000000006 " " y[1] (analytic) = 0.24674302915126234 " " y[1] (numeric) = 0.1992165637290703 " " absolute error = 4.75264654221920500E-2 " " relative error = 19.26152304511777 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8540000000000006 " " y[1] (analytic) = 0.24608567955120897 " " y[1] (numeric) = 0.19839276738997194 " " absolute error = 4.76929121612370300E-2 " " relative error = 19.380612576975416 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8550000000000006 " " y[1] (analytic) = 0.2454290838654133 " " y[1] (numeric) = 0.19756940891575783 " " absolute error = 4.785967494965545600E-2 " " relative error = 19.500408914821364 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8560000000000006 " " y[1] (analytic) = 0.24477324275047085 " " y[1] (numeric) = 0.1967464890606706 " " absolute error = 4.80267536898002500E-2 " " relative error = 19.620916547140798 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8570000000000007 " " y[1] (analytic) = 0.24411815686222282 " " y[1] (numeric) = 0.1959240085796091 " " absolute error = 4.81941482826137300E-2 " " relative error = 19.74213999568 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8580000000000007 " " y[1] (analytic) = 0.24346382685575485 " " y[1] (numeric) = 0.1951019682281276 " " absolute error = 4.83618586276272630E-2 " " relative error = 19.86408381573672 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8590000000000007 " " y[1] (analytic) = 0.24281025338539697 " " y[1] (numeric) = 0.1942803687624351 " " absolute error = 4.85298846229618700E-2 " " relative error = 19.986752596453798 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8600000000000007 " " y[1] (analytic) = 0.2421574371047226 " " y[1] (numeric) = 0.19345921093939458 " " absolute error = 4.86982261653280100E-2 " " relative error = 20.11015096111549 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8610000000000007 " " y[1] (analytic) = 0.24150537866654798 " " y[1] (numeric) = 0.19263849551652218 " " absolute error = 4.8866883150025797E-2 " " relative error = 20.23428356744693 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8620000000000007 " " y[1] (analytic) = 0.24085407872293152 " " y[1] (numeric) = 0.1918182232519865 " " absolute error = 4.90358554709450200E-2 " " relative error = 20.359155107916536 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8630000000000007 " " y[1] (analytic) = 0.24020353792517302 " " y[1] (numeric) = 0.19099839490460782 " " absolute error = 4.920514302056519500E-2 " " relative error = 20.484770310041533 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8640000000000007 " " y[1] (analytic) = 0.2395537569238133 " " y[1] (numeric) = 0.19017901123385733 " " absolute error = 4.93747456899559800E-2 " " relative error = 20.61113393669669 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8650000000000007 " " y[1] (analytic) = 0.2389047363686333 " " y[1] (numeric) = 0.18936007299985638 " " absolute error = 4.954466336877691400E-2 " " relative error = 20.73825078642594 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8660000000000007 " " y[1] (analytic) = 0.23825647690865348 " " y[1] (numeric) = 0.18854158096337573 " " absolute error = 4.971489594527775400E-2 " " relative error = 20.866125693757418 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8670000000000007 " " y[1] (analytic) = 0.2376089791921333 " " y[1] (numeric) = 0.18772353588583476 " " absolute error = 4.988544330629854400E-2 " " relative error = 20.994763529521588 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8680000000000007 " " y[1] (analytic) = 0.2369622438665704 " " y[1] (numeric) = 0.18690593852930074 " " absolute error = 5.00563053372696600E-2 " " relative error = 21.124169201172634 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8690000000000007 " " y[1] (analytic) = 0.23631627157870005 " " y[1] (numeric) = 0.18608878965648806 " " absolute error = 5.02274819222119900E-2 " " relative error = 21.254347653113175 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8700000000000007 " " y[1] (analytic) = 0.23567106297449447 " " y[1] (numeric) = 0.18527209003075748 " " absolute error = 5.03989729437369900E-2 " " relative error = 21.385303867022245 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8710000000000007 " " y[1] (analytic) = 0.2350266186991622 " " y[1] (numeric) = 0.18445584041611532 " " absolute error = 5.057077828304688000E-2 " " relative error = 21.51704286218672 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8720000000000007 " " y[1] (analytic) = 0.2343829393971475 " " y[1] (numeric) = 0.18364004157721273 " " absolute error = 5.07428978199347700E-2 " " relative error = 21.649569695836114 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8730000000000007 " " y[1] (analytic) = 0.2337400257121297 " " y[1] (numeric) = 0.18282469427934495 " " absolute error = 5.09153314327847600E-2 " " relative error = 21.782889463480778 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8740000000000007 " " y[1] (analytic) = 0.23309787828702222 " " y[1] (numeric) = 0.18200979928845049 " " absolute error = 5.108807899857173000E-2 " " relative error = 21.917007299253516 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8750000000000007 " " y[1] (analytic) = 0.23245649776397248 " " y[1] (numeric) = 0.1811953573711104 " " absolute error = 5.12611403928620900E-2 " " relative error = 22.051928376255027 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8760000000000007 " " y[1] (analytic) = 0.2318158847843611 " " y[1] (numeric) = 0.18038136929454748 " " absolute error = 5.14345154898136100E-2 " " relative error = 22.187657906902647 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8770000000000007 " " y[1] (analytic) = 0.23117603998880099 " " y[1] (numeric) = 0.17956783582662555 " " absolute error = 5.16082041621754300E-2 " " relative error = 22.324201143282636 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8780000000000007 " " y[1] (analytic) = 0.23053696401713675 " " y[1] (numeric) = 0.17875475773584865 " " absolute error = 5.1782206281288100E-2 " " relative error = 22.461563377506316 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8790000000000007 " " y[1] (analytic) = 0.2298986575084443 " " y[1] (numeric) = 0.17794213579136026 " " absolute error = 5.19565217170840400E-2 " " relative error = 22.599749942069867 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8800000000000007 " " y[1] (analytic) = 0.22926112110103025 " " y[1] (numeric) = 0.17712997076294257 " " absolute error = 5.213115033808768000E-2 " " relative error = 22.738766210217847 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8810000000000007 " " y[1] (analytic) = 0.22862435543243087 " " y[1] (numeric) = 0.17631826342101573 " " absolute error = 5.230609201141514000E-2 " " relative error = 22.878617596310306 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8820000000000007 " " y[1] (analytic) = 0.2279883611394118 " " y[1] (numeric) = 0.17550701453663695 " " absolute error = 5.24813466027748400E-2 " " relative error = 23.019309556194063 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8830000000000007 " " y[1] (analytic) = 0.22735313885796715 " " y[1] (numeric) = 0.1746962248814999 " " absolute error = 5.26569139764672300E-2 " " relative error = 23.160847587577514 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8840000000000007 " " y[1] (analytic) = 0.2267186892233194 " " y[1] (numeric) = 0.17388589522793385 " " absolute error = 5.28327939953855400E-2 " " relative error = 23.303237230409753 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8850000000000007 " " y[1] (analytic) = 0.2260850128699179 " " y[1] (numeric) = 0.17307602634890284 " " absolute error = 5.300898652101504000E-2 " " relative error = 23.446484067263107 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8860000000000007 " " y[1] (analytic) = 0.2254521104314391 " " y[1] (numeric) = 0.17226661901800505 " " absolute error = 5.31854914134340400E-2 " " relative error = 23.590593723720303 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8870000000000007 " " y[1] (analytic) = 0.22481998254078517 " " y[1] (numeric) = 0.1714576740094719 " " absolute error = 5.33623085313132700E-2 " " relative error = 23.735571868765124 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8880000000000007 " " y[1] (analytic) = 0.22418862983008425 " " y[1] (numeric) = 0.17064919209816737 " " absolute error = 5.353943773191688000E-2 " " relative error = 23.88142421517772 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8890000000000007 " " y[1] (analytic) = 0.22355805293068876 " " y[1] (numeric) = 0.16984117405958712 " " absolute error = 5.37168788711016400E-2 " " relative error = 24.02815651993348 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8900000000000007 " " y[1] (analytic) = 0.22292825247317571 " " y[1] (numeric) = 0.16903362066985783 " " absolute error = 5.38946318033178800E-2 " " relative error = 24.175774584606707 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8910000000000007 " " y[1] (analytic) = 0.22229922908734534 " " y[1] (numeric) = 0.16822653270573634 " " absolute error = 5.407269638160900E-2 " " relative error = 24.324284255777993 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8920000000000007 " " y[1] (analytic) = 0.22167098340222113 " " y[1] (numeric) = 0.16741991094460892 " " absolute error = 5.42510724576122000E-2 " " relative error = 24.473691425446447 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8930000000000007 " " y[1] (analytic) = 0.22104351604604866 " " y[1] (numeric) = 0.16661375616449045 " " absolute error = 5.44297598815582000E-2 " " relative error = 24.624002031445784 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8940000000000007 " " y[1] (analytic) = 0.22041682764629533 " " y[1] (numeric) = 0.16580806914402368 " " absolute error = 5.46087585022716500E-2 " " relative error = 24.775222057865186 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8950000000000007 " " y[1] (analytic) = 0.2197909188296493 " " y[1] (numeric) = 0.16500285066247844 " " absolute error = 5.478806816717086000E-2 " " relative error = 24.927357535474332 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8960000000000007 " " y[1] (analytic) = 0.21916579022201932 " " y[1] (numeric) = 0.16419810149975086 " " absolute error = 5.496768872226845000E-2 " " relative error = 25.080414542153267 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8970000000000007 " " y[1] (analytic) = 0.21854144244853413 " " y[1] (numeric) = 0.1633938224363626 " " absolute error = 5.51476200121715300E-2 " " relative error = 25.234399203326674 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8980000000000007 " " y[1] (analytic) = 0.2179178761335414 " " y[1] (numeric) = 0.16259001425346004 " " absolute error = 5.532786188008137000E-2 " " relative error = 25.389317692402674 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8990000000000007 " " y[1] (analytic) = 0.21729509190060736 " " y[1] (numeric) = 0.1617866777328135 " " absolute error = 5.55084141677938600E-2 " " relative error = 25.54517623121644 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9000000000000007 " " y[1] (analytic) = 0.21667309037251614 " " y[1] (numeric) = 0.1609838136568165 " " absolute error = 5.56892767156996500E-2 " " relative error = 25.701981090478572 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9010000000000007 " " y[1] (analytic) = 0.2160518721712693 " " y[1] (numeric) = 0.16018142280848494 " " absolute error = 5.587044936278438000E-2 " " relative error = 25.859738590228268 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9020000000000007 " " y[1] (analytic) = 0.21543143791808506 " " y[1] (numeric) = 0.15937950597145636 " " absolute error = 5.60519319466287000E-2 " " relative error = 26.01845510029121 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9030000000000007 " " y[1] (analytic) = 0.21481178823339742 " " y[1] (numeric) = 0.1585780639299891 " " absolute error = 5.62337243034083200E-2 " " relative error = 26.178137040742484 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9040000000000007 " " y[1] (analytic) = 0.21419292373685606 " " y[1] (numeric) = 0.15777709746896157 " " absolute error = 5.64158262678944900E-2 " " relative error = 26.338790882374536 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9050000000000007 " " y[1] (analytic) = 0.2135748450473256 " " y[1] (numeric) = 0.15697660737387137 " " absolute error = 5.65982376734542300E-2 " " relative error = 26.50042314717014 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9060000000000007 " " y[1] (analytic) = 0.21295755278288442 " " y[1] (numeric) = 0.15617659443083465 " " absolute error = 5.67809583520497700E-2 " " relative error = 26.66304040878014 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9070000000000007 " " y[1] (analytic) = 0.21234104756082495 " " y[1] (numeric) = 0.15537705942658517 " " absolute error = 5.69639881342397700E-2 " " relative error = 26.826649293007037 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9080000000000007 " " y[1] (analytic) = 0.21172532999765237 " " y[1] (numeric) = 0.15457800314847367 " " absolute error = 5.7147326849178690E-2 " " relative error = 26.991256478293057 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9090000000000007 " " y[1] (analytic) = 0.21111040070908393 " " y[1] (numeric) = 0.15377942638446696 " " absolute error = 5.73309743246169800E-2 " " relative error = 27.15686869621392 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9100000000000007 " " y[1] (analytic) = 0.2104962603100492 " " y[1] (numeric) = 0.15298132992314714 " " absolute error = 5.75149303869020500E-2 " " relative error = 27.323492731978128 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9110000000000007 " " y[1] (analytic) = 0.20988290941468823 " " y[1] (numeric) = 0.1521837145537109 " " absolute error = 5.769919486097732000E-2 " " relative error = 27.49113542493106 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9120000000000007 " " y[1] (analytic) = 0.20927034863635208 " " y[1] (numeric) = 0.15138658106596867 " " absolute error = 5.78837675703834000E-2 " " relative error = 27.659803669065276 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9130000000000007 " " y[1] (analytic) = 0.2086585785876014 " " y[1] (numeric) = 0.1505899302503438 " " absolute error = 5.80686483372575800E-2 " " relative error = 27.829504413535794 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9140000000000007 " " y[1] (analytic) = 0.20804759988020616 " " y[1] (numeric) = 0.14979376289787186 " " absolute error = 5.8253836982334310E-2 " " relative error = 28.00024466318134 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9150000000000007 " " y[1] (analytic) = 0.20743741312514508 " " y[1] (numeric) = 0.14899807980019972 " " absolute error = 5.84393333249453500E-2 " " relative error = 28.1720314790512 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9160000000000007 " " y[1] (analytic) = 0.20682801893260472 " " y[1] (numeric) = 0.14820288174958487 " " absolute error = 5.86251371830198500E-2 " " relative error = 28.344871978937704 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9170000000000007 " " y[1] (analytic) = 0.2062194179119795 " " y[1] (numeric) = 0.14740816953889463 " " absolute error = 5.88112483730848800E-2 " " relative error = 28.518773337914883 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9180000000000007 " " y[1] (analytic) = 0.20561161067187006 " " y[1] (numeric) = 0.14661394396160526 " " absolute error = 5.899766671026480000E-2 " " relative error = 28.69374278888246 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9190000000000007 " " y[1] (analytic) = 0.20500459782008384 " " y[1] (numeric) = 0.14582020581180125 " " absolute error = 5.9184392008282600E-2 " " relative error = 28.869787623116636 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9200000000000007 " " y[1] (analytic) = 0.20439837996363353 " " y[1] (numeric) = 0.1450269558841745 " " absolute error = 5.93714240794590300E-2 " " relative error = 29.046915190826056 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9210000000000007 " " y[1] (analytic) = 0.20379295770873695 " " y[1] (numeric) = 0.1442341949740235 " " absolute error = 5.955876273471344000E-2 " " relative error = 29.22513290171462 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9220000000000007 " " y[1] (analytic) = 0.2031883316608163 " " y[1] (numeric) = 0.14344192387725263 " " absolute error = 5.97464077835636600E-2 " " relative error = 29.404448225550055 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9230000000000007 " " y[1] (analytic) = 0.20258450242449766 " " y[1] (numeric) = 0.1426501433903712 " " absolute error = 5.99343590341264700E-2 " " relative error = 29.584868692739093 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9240000000000007 " " y[1] (analytic) = 0.20198147060361005 " " y[1] (numeric) = 0.14185885431049278 " " absolute error = 6.01226162931172700E-2 " " relative error = 29.766401894908615 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9250000000000007 " " y[1] (analytic) = 0.2013792368011854 " " y[1] (numeric) = 0.14106805743533443 " " absolute error = 6.03111793658509800E-2 " " relative error = 29.94905548549381 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9260000000000007 " " y[1] (analytic) = 0.20077780161945735 " " y[1] (numeric) = 0.14027775356321578 " " absolute error = 6.05000480562415600E-2 " " relative error = 30.13283718033225 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9270000000000007 " " y[1] (analytic) = 0.2001771656598611 " " y[1] (numeric) = 0.1394879434930583 " " absolute error = 6.06892221668028100E-2 " " relative error = 30.317754758265128 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9280000000000007 " " y[1] (analytic) = 0.19957732952303253 " " y[1] (numeric) = 0.1386986280243845 " " absolute error = 6.08787014986480200E-2 " " relative error = 30.50381606174474 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9290000000000007 " " y[1] (analytic) = 0.19897829380880772 " " y[1] (numeric) = 0.13790980795731717 " " absolute error = 6.10684858514905500E-2 " " relative error = 30.691028997449052 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9300000000000007 " " y[1] (analytic) = 0.19838005911622247 " " y[1] (numeric) = 0.13712148409257846 " " absolute error = 6.12585750236440100E-2 " " relative error = 30.879401536903067 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9310000000000007 " " y[1] (analytic) = 0.19778262604351116 " " y[1] (numeric) = 0.1363336572314892 " " absolute error = 6.14489688120219400E-2 " " relative error = 31.068941717106885 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9320000000000007 " " y[1] (analytic) = 0.19718599518810698 " " y[1] (numeric) = 0.13554632817596807 " " absolute error = 6.16396670121389100E-2 " " relative error = 31.259657641171376 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9330000000000007 " " y[1] (analytic) = 0.1965901671466408 " " y[1] (numeric) = 0.13475949772853074 " " absolute error = 6.18306694181100500E-2 " " relative error = 31.4515574789604 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9340000000000007 " " y[1] (analytic) = 0.19599514251494043 " " y[1] (numeric) = 0.13397316669228912 " " absolute error = 6.202197582265132000E-2 " " relative error = 31.64464946774049 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9350000000000007 " " y[1] (analytic) = 0.1954009218880305 " " y[1] (numeric) = 0.13318733587095058 " " absolute error = 6.22135860170799100E-2 " " relative error = 31.83894191283796 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9360000000000007 " " y[1] (analytic) = 0.19480750586013174 " " y[1] (numeric) = 0.13240200606881708 " " absolute error = 6.240549979131466000E-2 " " relative error = 32.03444318830337 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9370000000000007 " " y[1] (analytic) = 0.19421489502465994 " " y[1] (numeric) = 0.13161717809078438 " " absolute error = 6.25977169338755600E-2 " " relative error = 32.23116173758320 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9380000000000007 " " y[1] (analytic) = 0.19362308997422606 " " y[1] (numeric) = 0.13083285274234133 " " absolute error = 6.27902372318847300E-2 " " relative error = 32.429106074199616 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9390000000000007 " " y[1] (analytic) = 0.19303209130063492 " " y[1] (numeric) = 0.1300490308295689 " " absolute error = 6.29830604710660300E-2 " " relative error = 32.628284782437554 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9400000000000007 " " y[1] (analytic) = 0.19244189959488534 " " y[1] (numeric) = 0.1292657131591395 " " absolute error = 6.31761864357458300E-2 " " relative error = 32.82870651803985 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9410000000000007 " " y[1] (analytic) = 0.19185251544716875 " " y[1] (numeric) = 0.12848290053831615 " " absolute error = 6.3369614908852600E-2 " " relative error = 33.03038000891 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9420000000000007 " " y[1] (analytic) = 0.19126393944686937 " " y[1] (numeric) = 0.12770059377495163 " " absolute error = 6.35633456719177400E-2 " " relative error = 33.233314055823264 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9430000000000007 " " y[1] (analytic) = 0.19067617218256327 " " y[1] (numeric) = 0.12691879367748773 " " absolute error = 6.37573785050755500E-2 " " relative error = 33.43751753314563 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9440000000000007 " " y[1] (analytic) = 0.1900892142420174 " " y[1] (numeric) = 0.1261375010549544 " " absolute error = 6.39517131870630300E-2 " " relative error = 33.6429993895609 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9450000000000007 " " y[1] (analytic) = 0.18950306621218993 " " y[1] (numeric) = 0.12535671671696888 " " absolute error = 6.41463494952210400E-2 " " relative error = 33.84976864880658 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9460000000000007 " " y[1] (analytic) = 0.18891772867922862 " " y[1] (numeric) = 0.1245764414737351 " " absolute error = 6.43412872054935200E-2 " " relative error = 34.05783441041751 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9470000000000007 " " y[1] (analytic) = 0.18833320222847105 " " y[1] (numeric) = 0.12379667613604264 " " absolute error = 6.45365260924284100E-2 " " relative error = 34.267205850478646 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9480000000000007 " " y[1] (analytic) = 0.18774948744444364 " " y[1] (numeric) = 0.12301742151526604 " " absolute error = 6.4732065929177600E-2 " " relative error = 34.4778922223861 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9490000000000007 " " y[1] (analytic) = 0.18716658491086102 " " y[1] (numeric) = 0.12223867842336394 " " absolute error = 6.49279064874970800E-2 " " relative error = 34.68990285761708 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9500000000000007 " " y[1] (analytic) = 0.1865844952106258 " " y[1] (numeric) = 0.12146044767287832 " " absolute error = 6.51240475377474900E-2 " " relative error = 34.9032471665088 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9510000000000007 " " y[1] (analytic) = 0.1860032189258276 " " y[1] (numeric) = 0.12068273007693364 " " absolute error = 6.53204888488939700E-2 " " relative error = 35.117934639046105 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9520000000000007 " " y[1] (analytic) = 0.18542275663774266 " " y[1] (numeric) = 0.11990552644923604 " " absolute error = 6.55172301885066300E-2 " " relative error = 35.33397484565853 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9530000000000007 " " y[1] (analytic) = 0.1848431089268332 " " y[1] (numeric) = 0.11912883760407252 " " absolute error = 6.57142713227606900E-2 " " relative error = 35.55137743802637 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9540000000000007 " " y[1] (analytic) = 0.18426427637274678 " " y[1] (numeric) = 0.11835266435631016 " " absolute error = 6.59116120164366300E-2 " " relative error = 35.77015214989613 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9550000000000007 " " y[1] (analytic) = 0.18368625955431617 " " y[1] (numeric) = 0.11757700752139526 " " absolute error = 6.61092520329209100E-2 " " relative error = 35.990308797905676 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9560000000000007 " " y[1] (analytic) = 0.18310905904955788 " " y[1] (numeric) = 0.11680186791535256 " " absolute error = 6.63071911342053100E-2 " " relative error = 36.2118572824185 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9570000000000007 " " y[1] (analytic) = 0.18253267543567253 " " y[1] (numeric) = 0.1160272463547844 " " absolute error = 6.65054290808881300E-2 " " relative error = 36.43480758836832 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9580000000000007 " " y[1] (analytic) = 0.18195710928904352 " " y[1] (numeric) = 0.11525314365686991 " " absolute error = 6.67039656321736100E-2 " " relative error = 36.659169786112976 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9590000000000007 " " y[1] (analytic) = 0.1813823611852371 " " y[1] (numeric) = 0.1144795606393642 " " absolute error = 6.6902800545872900E-2 " " relative error = 36.88495403229881 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9600000000000007 " " y[1] (analytic) = 0.1808084316990013 " " y[1] (numeric) = 0.11370649812059752 " " absolute error = 6.71019335784037700E-2 " " relative error = 37.11217057073473 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9610000000000007 " " y[1] (analytic) = 0.18023532140426557 " " y[1] (numeric) = 0.1129339569194745 " " absolute error = 6.73013644847910700E-2 " " relative error = 37.34082973327684 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9620000000000007 " " y[1] (analytic) = 0.17966303087414004 " " y[1] (numeric) = 0.11216193785547324 " " absolute error = 6.7501093018666800E-2 " " relative error = 37.57094194072323 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9630000000000007 " " y[1] (analytic) = 0.17909156068091525 " " y[1] (numeric) = 0.11139044174864457 " " absolute error = 6.77011189322706900E-2 " " relative error = 37.80251770371958 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9640000000000007 " " y[1] (analytic) = 0.17852091139606152 " " y[1] (numeric) = 0.1106194694196112 " " absolute error = 6.79014419764503200E-2 " " relative error = 38.03556762367523 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9650000000000007 " " y[1] (analytic) = 0.17795108359022782 " " y[1] (numeric) = 0.1098490216895669 " " absolute error = 6.81020619006609300E-2 " " relative error = 38.27010239368992 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9660000000000007 " " y[1] (analytic) = 0.177382077833242 " " y[1] (numeric) = 0.10907909938027566 " " absolute error = 6.83029784529663500E-2 " " relative error = 38.50613279949195 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9670000000000007 " " y[1] (analytic) = 0.1768138946941099 " " y[1] (numeric) = 0.1083097033140709 " " absolute error = 6.850419138003900E-2 " " relative error = 38.7436697203871 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9680000000000007 " " y[1] (analytic) = 0.17624653474101437 " " y[1] (numeric) = 0.10754083431385464 " " absolute error = 6.87057004271597300E-2 " " relative error = 38.98272413021873 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9690000000000007 " " y[1] (analytic) = 0.17567999854131555 " " y[1] (numeric) = 0.10677249320309666 " " absolute error = 6.89075053382188900E-2 " " relative error = 39.223307098339696 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9700000000000008 " " y[1] (analytic) = 0.1751142866615495 " " y[1] (numeric) = 0.1060046808058337 " " absolute error = 6.9109605855715790E-2 " " relative error = 39.46542979059541 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9710000000000008 " " y[1] (analytic) = 0.174549399667428 " " y[1] (numeric) = 0.1052373979466686 " " absolute error = 6.9312001720759400E-2 " " relative error = 39.709103470318865 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9720000000000008 " " y[1] (analytic) = 0.1739853381238381 " " y[1] (numeric) = 0.10447064545076953 " " absolute error = 6.95146926730685600E-2 " " relative error = 39.95433949933751 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9730000000000008 " " y[1] (analytic) = 0.17342210259484125 " " y[1] (numeric) = 0.10370442414386913 " " absolute error = 6.97176784509721200E-2 " " relative error = 40.20114933899204 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9740000000000008 " " y[1] (analytic) = 0.17285969364367293 " " y[1] (numeric) = 0.10293873485226367 " " absolute error = 6.99209587914092600E-2 " " relative error = 40.44954455116757 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9750000000000008 " " y[1] (analytic) = 0.1722981118327419 " " y[1] (numeric) = 0.10217357840281224 " " absolute error = 7.01245334299296600E-2 " " relative error = 40.69953679933703 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9760000000000008 " " y[1] (analytic) = 0.1717373577236302 " " y[1] (numeric) = 0.10140895562293596 " " absolute error = 7.03284021006942300E-2 " " relative error = 40.951137849617325 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9770000000000008 " " y[1] (analytic) = 0.17117743187709167 " " y[1] (numeric) = 0.10064486734061709 " " absolute error = 7.05325645364745800E-2 " " relative error = 41.20435957183781 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9780000000000008 " " y[1] (analytic) = 0.17061833485305233 " " y[1] (numeric) = 9.98813143843982200E-2 " " absolute error = 7.07370204686541100E-2 " " relative error = 41.459213940622185 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9790000000000008 " " y[1] (analytic) = 0.17006006721060885 " " y[1] (numeric) = 9.91182975833814900E-2 " " absolute error = 7.09417696272273600E-2 " " relative error = 41.715713036482796 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9800000000000008 " " y[1] (analytic) = 0.16950262950802908 " " y[1] (numeric) = 9.83558177672276800E-2 " " absolute error = 7.1146811740801400E-2 " " relative error = 41.973869046929025 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9810000000000008 " " y[1] (analytic) = 0.16894602230275058 " " y[1] (numeric) = 9.75938757661554600E-2 " " absolute error = 7.13521465365951200E-2 " " relative error = 42.23369426758824 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9820000000000008 " " y[1] (analytic) = 0.16839024615138054 " " y[1] (numeric) = 9.68324724109404800E-2 " " absolute error = 7.15577737404400600E-2 " " relative error = 42.49520110334098 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9830000000000008 " " y[1] (analytic) = 0.16783530160969506 " " y[1] (numeric) = 9.60716085329146200E-2 " " absolute error = 7.17636930767804400E-2 " " relative error = 42.75840206946963 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9840000000000008 " " y[1] (analytic) = 0.16728118923263857 " " y[1] (numeric) = 9.5311284963965100E-2 " " absolute error = 7.19699042686734700E-2 " " relative error = 43.02330979282115 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9850000000000008 " " y[1] (analytic) = 0.16672790957432349 " " y[1] (numeric) = 9.45515025365336700E-2 " " absolute error = 7.21764070377898100E-2 " " relative error = 43.289937012984154 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9860000000000008 " " y[1] (analytic) = 0.16617546318802945 " " y[1] (numeric) = 9.3792262083615800E-2 " " absolute error = 7.23832011044136500E-2 " " relative error = 43.55829658348010 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9870000000000008 " " y[1] (analytic) = 0.16562385062620266 " " y[1] (numeric) = 9.30335644387597700E-2 " " absolute error = 7.25902861874428900E-2 " " relative error = 43.82840147296918 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9880000000000008 " " y[1] (analytic) = 0.16507307244045577 " " y[1] (numeric) = 9.22754104360659600E-2 " " absolute error = 7.27976620043898100E-2 " " relative error = 44.100264766471206 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9890000000000008 " " y[1] (analytic) = 0.16452312918156686 " " y[1] (numeric) = 9.1517800910185900E-2 " " absolute error = 7.30053282713809600E-2 " " relative error = 44.37389966660108 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9900000000000008 " " y[1] (analytic) = 0.16397402139947903 " " y[1] (numeric) = 9.07607366963214600E-2 " " absolute error = 7.32132847031575700E-2 " " relative error = 44.64931949481979 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9910000000000008 " " y[1] (analytic) = 0.16342574964330026 " " y[1] (numeric) = 9.00042186302241200E-2 " " absolute error = 7.34215310130761400E-2 " " relative error = 44.926537692700805 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9920000000000008 " " y[1] (analytic) = 0.16287831446130208 " " y[1] (numeric) = 8.92482475481939500E-2 " " absolute error = 7.36300669131081300E-2 " " relative error = 45.205567823211815 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9930000000000008 " " y[1] (analytic) = 0.1623317164009197 " " y[1] (numeric) = 8.84928242870789300E-2 " " absolute error = 7.38388921138407700E-2 " " relative error = 45.48642357201272 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9940000000000008 " " y[1] (analytic) = 0.16178595600875112 " " y[1] (numeric) = 8.77379496842740400E-2 " " absolute error = 7.40480063244770800E-2 " " relative error = 45.76911874876937 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9950000000000008 " " y[1] (analytic) = 0.16124103383055666 " " y[1] (numeric) = 8.69836245777204500E-2 " " absolute error = 7.4257409252836200E-2 " " relative error = 46.05366728848382 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9960000000000008 " " y[1] (analytic) = 0.16069695041125842 " " y[1] (numeric) = 8.62298498059046600E-2 " " absolute error = 7.44671006053537600E-2 " " relative error = 46.340083252841 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9970000000000008 " " y[1] (analytic) = 0.16015370629493986 " " y[1] (numeric) = 8.54766262078576900E-2 " " absolute error = 7.46770800870821700E-2 " " relative error = 46.628380831572194 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9980000000000008 " " y[1] (analytic) = 0.15961130202484508 " " y[1] (numeric) = 8.4723954623154200E-2 " " absolute error = 7.48873474016908800E-2 " " relative error = 46.91857434383557 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9990000000000008 " " y[1] (analytic) = 0.15906973814337821 " " y[1] (numeric) = 8.39718358919117000E-2 " " absolute error = 7.50979022514665200E-2 " " relative error = 47.210678239613806 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0000000000000007 " " y[1] (analytic) = 0.15852901519210316 " " y[1] (numeric) = 8.32202708547896500E-2 " " absolute error = 7.53087443373135200E-2 " " relative error = 47.50470710112939 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0010000000000006 " " y[1] (analytic) = 0.15798913371174272 " " y[1] (numeric) = 8.24692603529886700E-2 " " absolute error = 7.55198733587540500E-2 " " relative error = 47.800675644277526 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0020000000000004 " " y[1] (analytic) = 0.15745009424217848 " " y[1] (numeric) = 8.1718805228249700E-2 " " absolute error = 7.57312890139287800E-2 " " relative error = 48.098598720077185 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0030000000000003 " " y[1] (analytic) = 0.1569118973224498 " " y[1] (numeric) = 8.09689063228531300E-2 " " absolute error = 7.59429909995966800E-2 " " relative error = 48.39849131614019 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0040000000000002 " " y[1] (analytic) = 0.15637454349075353 " " y[1] (numeric) = 8.02195644796179600E-2 " " absolute error = 7.61549790111355700E-2 " " relative error = 48.700368558158985 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0050000000000001 " " y[1] (analytic) = 0.15583803328444357 " " y[1] (numeric) = 7.94707805419009500E-2 " " absolute error = 7.63672527425426100E-2 " " relative error = 49.0042457114132 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.006 " " y[1] (analytic) = 0.15530236724002977 " " y[1] (numeric) = 7.87225553535958500E-2 " " absolute error = 7.65798118864339200E-2 " " relative error = 49.310138182295006 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.007 " " y[1] (analytic) = 0.15476754589317854 " " y[1] (numeric) = 7.79748897591324300E-2 " " absolute error = 7.67926561340461100E-2 " " relative error = 49.61806151985433 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0079999999999998 " " y[1] (analytic) = 0.15423356977871083 " " y[1] (numeric) = 7.72277846034757500E-2 " " absolute error = 7.70057851752350900E-2 " " relative error = 49.92803141736291 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0089999999999997 " " y[1] (analytic) = 0.15370043943060296 " " y[1] (numeric) = 7.64812407321252400E-2 " " absolute error = 7.72191986984777200E-2 " " relative error = 50.24006371389903 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0099999999999996 " " y[1] (analytic) = 0.15316815538198503 " " y[1] (numeric) = 7.5735258991113900E-2 " " absolute error = 7.74328963908711300E-2 " " relative error = 50.55417439595179 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0109999999999995 " " y[1] (analytic) = 0.15263671816514124 " " y[1] (numeric) = 7.49898402270074300E-2 " " absolute error = 7.76468779381338100E-2 " " relative error = 50.8703795990463 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0119999999999993 " " y[1] (analytic) = 0.1521061283115086 " " y[1] (numeric) = 7.42449852869033900E-2 " " absolute error = 7.78611430246052200E-2 " " relative error = 51.18869560938927 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0129999999999992 " " y[1] (analytic) = 0.15157638635167703 " " y[1] (numeric) = 7.35006950184303700E-2 " " absolute error = 7.80756913332466600E-2 " " relative error = 51.50913886553599 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0139999999999991 " " y[1] (analytic) = 0.15104749281538843 " " y[1] (numeric) = 7.2756970269747100E-2 " " absolute error = 7.82905225456413300E-2 " " relative error = 51.83172596007846 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.014999999999999 " " y[1] (analytic) = 0.15051944823153618 " " y[1] (numeric) = 7.20138118895416600E-2 " " absolute error = 7.85056363419945200E-2 " " relative error = 52.15647364135525 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.015999999999999 " " y[1] (analytic) = 0.149992253128165 " " y[1] (numeric) = 7.12712207270305600E-2 " " absolute error = 7.87210324011344400E-2 " " relative error = 52.483398815183534 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0169999999999988 " " y[1] (analytic) = 0.14946590803246984 " " y[1] (numeric) = 7.05291976319579500E-2 " " absolute error = 7.8936710400511890E-2 " " relative error = 52.812518546613155 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0179999999999987 " " y[1] (analytic) = 0.14894041347079578 " " y[1] (numeric) = 6.97877434545947500E-2 " " absolute error = 7.91526700162010300E-2 " " relative error = 53.14385006170355 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0189999999999986 " " y[1] (analytic) = 0.14841576996863726 " " y[1] (numeric) = 6.9046859045737810E-2 " " absolute error = 7.93689109228994500E-2 " " relative error = 53.47741074932363 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0199999999999985 " " y[1] (analytic) = 0.14789197805063792 " " y[1] (numeric) = 6.83065452567090300E-2 " " absolute error = 7.95854327939288900E-2 " " relative error = 53.813218162975005 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0209999999999984 " " y[1] (analytic) = 0.14736903824058945 " " y[1] (numeric) = 6.75668029393545300E-2 " " absolute error = 7.98022353012349100E-2 " " relative error = 54.1512900226387 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0219999999999982 " " y[1] (analytic) = 0.14684695106143164 " " y[1] (numeric) = 6.68276329460438100E-2 " " absolute error = 8.00193181153878300E-2 " " relative error = 54.491644216646165 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0229999999999981 " " y[1] (analytic) = 0.14632571703525177 " " y[1] (numeric) = 6.60890361296688800E-2 " " absolute error = 8.02366809055828900E-2 " " relative error = 54.83429880357451 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.023999999999998 " " y[1] (analytic) = 0.14580533668328366 " " y[1] (numeric) = 6.53510133436433900E-2 " " absolute error = 8.04543233396402700E-2 " " relative error = 55.179272014166415 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.024999999999998 " " y[1] (analytic) = 0.14528581052590772 " " y[1] (numeric) = 6.46135654419018300E-2 " " absolute error = 8.06722450840058900E-2 " " relative error = 55.52658225327532 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0259999999999978 " " y[1] (analytic) = 0.14476713908264993 " " y[1] (numeric) = 6.38766932788986200E-2 " " absolute error = 8.0890445803751310E-2 " " relative error = 55.87624810183589 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0269999999999977 " " y[1] (analytic) = 0.14424932287218184 " " y[1] (numeric) = 6.31403977096072900E-2 " " absolute error = 8.11089251625745500E-2 " " relative error = 56.228288318860606 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0279999999999976 " " y[1] (analytic) = 0.14373236241231968 " " y[1] (numeric) = 6.2404679589519600E-2 " " absolute error = 8.13276828228001000E-2 " " relative error = 56.582721843462366 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0289999999999975 " " y[1] (analytic) = 0.1432162582200236 " " y[1] (numeric) = 6.166953977464471000E-2 " " absolute error = 8.15467184453788900E-2 " " relative error = 56.93956779690362 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0299999999999974 " " y[1] (analytic) = 0.14270101081139797 " " y[1] (numeric) = 6.093497912150830000E-2 " " absolute error = 8.17660316898896600E-2 " " relative error = 57.298845484673166 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0309999999999973 " " y[1] (analytic) = 0.14218662070169008 " " y[1] (numeric) = 6.02009984871517600E-2 " " absolute error = 8.19856222145383100E-2 " " relative error = 57.66057439858954 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0319999999999971 " " y[1] (analytic) = 0.14167308840529003 " " y[1] (numeric) = 5.94675987291312500E-2 " " absolute error = 8.22054896761587600E-2 " " relative error = 58.02477421893291 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.032999999999997 " " y[1] (analytic) = 0.14116041443573002 " " y[1] (numeric) = 5.873478070551694000E-2 " " absolute error = 8.24256337302130800E-2 " " relative error = 58.39146481660499 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.033999999999997 " " y[1] (analytic) = 0.14064859930568396 " " y[1] (numeric) = 5.80025452748920600E-2 " " absolute error = 8.2646054030791890E-2 " " relative error = 58.760666255317595 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0349999999999968 " " y[1] (analytic) = 0.140137643526967 " " y[1] (numeric) = 5.72708932963521100E-2 " " absolute error = 8.28667502306148900E-2 " " relative error = 59.132398793810644 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0359999999999967 " " y[1] (analytic) = 0.13962754761053497 " " y[1] (numeric) = 5.653982562950397000E-2 " " absolute error = 8.30877219810310000E-2 " " relative error = 59.50668288809937 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0369999999999966 " " y[1] (analytic) = 0.1391183120664835 " " y[1] (numeric) = 5.580934313446504000E-2 " " absolute error = 8.33089689320184700E-2 " " relative error = 59.883539193751716 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0379999999999965 " " y[1] (analytic) = 0.13860993740404826 " " y[1] (numeric) = 5.50794466718623900E-2 " " absolute error = 8.35304907321858800E-2 " " relative error = 60.26298856819648 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0389999999999964 " " y[1] (analytic) = 0.1381024241316039 " " y[1] (numeric) = 5.43501371028318900E-2 " " absolute error = 8.37522870287720100E-2 " " relative error = 60.64505207306191 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0399999999999963 " " y[1] (analytic) = 0.13759577275666346 " " y[1] (numeric) = 5.36214152890173700E-2 " " absolute error = 8.39743574676460900E-2 " " relative error = 61.02975097654619 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0409999999999962 " " y[1] (analytic) = 0.13708998378587844 " " y[1] (numeric) = 5.28932820925697300E-2 " " absolute error = 8.41967016933087200E-2 " " relative error = 61.417106755819574 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.041999999999996 " " y[1] (analytic) = 0.13658505772503782 " " y[1] (numeric) = 5.21657383761460900E-2 " " absolute error = 8.44193193488917400E-2 " " relative error = 61.807141099459066 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.042999999999996 " " y[1] (analytic) = 0.13608099507906746 " " y[1] (numeric) = 5.14387850029089200E-2 " " absolute error = 8.46422100761585500E-2 " " relative error = 62.199875909915775 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0439999999999958 " " y[1] (analytic) = 0.13557779635202993 " " y[1] (numeric) = 5.0712422836525210E-2 " " absolute error = 8.48653735155047300E-2 " " relative error = 62.59533330601599 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0449999999999957 " " y[1] (analytic) = 0.13507546204712417 " " y[1] (numeric) = 4.998665274116554400E-2 " " absolute error = 8.50888093059586300E-2 " " relative error = 62.9935356254961 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0459999999999956 " " y[1] (analytic) = 0.13457399266668424 " " y[1] (numeric) = 4.92614755815033170E-2 " " absolute error = 8.53125170851809300E-2 " " relative error = 63.39450542757157 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0469999999999955 " " y[1] (analytic) = 0.13407338871217944 " " y[1] (numeric) = 4.85368922227137840E-2 " " absolute error = 8.55364964894656500E-2 " " relative error = 63.798265495541536 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0479999999999954 " " y[1] (analytic) = 0.1335736506842139 " " y[1] (numeric) = 4.78129035304732600E-2 " " absolute error = 8.57607471537406200E-2 " " relative error = 64.20483883942843 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0489999999999953 " " y[1] (analytic) = 0.1330747790825253 " " y[1] (numeric) = 4.708951037095822000E-2 " " absolute error = 8.59852687115670800E-2 " " relative error = 64.61424869865384 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0499999999999952 " " y[1] (analytic) = 0.13257677440598548 " " y[1] (numeric) = 4.63667136108444600E-2 " " absolute error = 8.62100607951410200E-2 " " relative error = 65.02651854475113 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.050999999999995 " " y[1] (analytic) = 0.13207963715259896 " " y[1] (numeric) = 4.5644514117306195E-2 " " absolute error = 8.64351230352927700E-2 " " relative error = 65.44167208411503 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.051999999999995 " " y[1] (analytic) = 0.13158336781950297 " " y[1] (numeric) = 4.49229127580152300E-2 " " absolute error = 8.66604550614877400E-2 " " relative error = 65.85973326078917 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0529999999999948 " " y[1] (analytic) = 0.13108796690296676 " " y[1] (numeric) = 4.42019104011400500E-2 " " absolute error = 8.68860565018267000E-2 " " relative error = 66.28072625929201 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0539999999999947 " " y[1] (analytic) = 0.13059343489839137 " " y[1] (numeric) = 4.34815079153449900E-2 " " absolute error = 8.71119269830463700E-2 " " relative error = 66.70467550748174 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0549999999999946 " " y[1] (analytic) = 0.13009977230030845 " " y[1] (numeric) = 4.27617061697893540E-2 " " absolute error = 8.73380661305190900E-2 " " relative error = 67.13160567946053 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0559999999999945 " " y[1] (analytic) = 0.12960697960238088 " " y[1] (numeric) = 4.20425060341265260E-2 " " absolute error = 8.75644735682543500E-2 " " relative error = 67.56154169851959 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0569999999999944 " " y[1] (analytic) = 0.12911505729740103 " " y[1] (numeric) = 4.13239083785031500E-2 " " absolute error = 8.77911489188978800E-2 " " relative error = 67.99450874012432 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0579999999999943 " " y[1] (analytic) = 0.1286240058772914 " " y[1] (numeric) = 4.060591407355819000E-2 " " absolute error = 8.8018091803733200E-2 " " relative error = 68.43053223494171 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0589999999999942 " " y[1] (analytic) = 0.1281338258331033 " " y[1] (numeric) = 3.98885239904221300E-2 " " absolute error = 8.82453018426811600E-2 " " relative error = 68.86963787190928 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.059999999999994 " " y[1] (analytic) = 0.1276445176550166 " " y[1] (numeric) = 3.917173900071603000E-2 " " absolute error = 8.84727786543005800E-2 " " relative error = 69.31185160134721 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.060999999999994 " " y[1] (analytic) = 0.12715608183233962 " " y[1] (numeric) = 3.84555599765507500E-2 " " absolute error = 8.87005218557888600E-2 " " relative error = 69.75719963811409 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0619999999999938 " " y[1] (analytic) = 0.12666851885350816 " " y[1] (numeric) = 3.77399877905259640E-2 " " absolute error = 8.8928531062982200E-2 " " relative error = 70.20570846480634 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0629999999999937 " " y[1] (analytic) = 0.1261818292060849 " " y[1] (numeric) = 3.70250233157293900E-2 " " absolute error = 8.9156805890355510E-2 " " relative error = 70.65740483500305 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0639999999999936 " " y[1] (analytic) = 0.12569601337675973 " " y[1] (numeric) = 3.63106674257358430E-2 " " absolute error = 8.93853459510238900E-2 " " relative error = 71.11231577655636 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0649999999999935 " " y[1] (analytic) = 0.12521107185134828 " " y[1] (numeric) = 3.5596920994606400E-2 " " absolute error = 8.96141508567418700E-2 " " relative error = 71.57046859492795 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0659999999999934 " " y[1] (analytic) = 0.12472700511479207 " " y[1] (numeric) = 3.488378489688752600E-2 " " absolute error = 8.98432202179045400E-2 " " relative error = 72.03189087657292 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0669999999999933 " " y[1] (analytic) = 0.12424381365115789 " " y[1] (numeric) = 3.41712600076101770E-2 " " absolute error = 9.00725536435477100E-2 " " relative error = 72.49661049237142 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0679999999999932 " " y[1] (analytic) = 0.123761497943637 " " y[1] (numeric) = 3.34593472022889470E-2 " " absolute error = 9.03021507413480500E-2 " " relative error = 72.96465560110877 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.068999999999993 " " y[1] (analytic) = 0.12328005847454515 " " y[1] (numeric) = 3.27480473569211840E-2 " " absolute error = 9.05320111176239700E-2 " " relative error = 73.43605465300537 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.069999999999993 " " y[1] (analytic) = 0.12279949572532178 " " y[1] (numeric) = 3.2037361347986100E-2 " " absolute error = 9.07621343773356900E-2 " " relative error = 73.91083639329648 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0709999999999928 " " y[1] (analytic) = 0.1223198101765296 " " y[1] (numeric) = 3.132729005244392400E-2 " " absolute error = 9.09925201240856700E-2 " " relative error = 74.38902986586312 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0719999999999927 " " y[1] (analytic) = 0.12184100230785411 " " y[1] (numeric) = 3.061783434773500700E-2 " " absolute error = 9.1223167960119100E-2 " " relative error = 74.87066441691499 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0729999999999926 " " y[1] (analytic) = 0.12136307259810308 " " y[1] (numeric) = 2.99089951117789300E-2 " " absolute error = 9.14540774863241600E-2 " " relative error = 75.35576969872596 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0739999999999925 " " y[1] (analytic) = 0.12088602152520622 " " y[1] (numeric) = 2.920077322297366400E-2 " " absolute error = 9.16852483022325600E-2 " " relative error = 75.84437567342313 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0749999999999924 " " y[1] (analytic) = 0.12040984956621459 " " y[1] (numeric) = 2.849316956019466400E-2 " " absolute error = 9.19166800060199200E-2 " " relative error = 76.3365126168304 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0759999999999923 " " y[1] (analytic) = 0.11993455719730017 " " y[1] (numeric) = 2.77861850027939900E-2 " " absolute error = 9.21483721945061800E-2 " " relative error = 76.83221112236743 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0769999999999922 " " y[1] (analytic) = 0.11946014489375512 " " y[1] (numeric) = 2.70798204305994400E-2 " " absolute error = 9.23803244631556800E-2 " " relative error = 77.33150210500452 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.077999999999992 " " y[1] (analytic) = 0.11898661312999181 " " y[1] (numeric) = 2.63740767239136640E-2 " " absolute error = 9.26125364060781500E-2 " " relative error = 77.83441680527521 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.078999999999992 " " y[1] (analytic) = 0.11851396237954204 " " y[1] (numeric) = 2.566895476351328000E-2 " " absolute error = 9.28450076160287600E-2 " " relative error = 78.34098679334659 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0799999999999919 " " y[1] (analytic) = 0.11804219311505637 " " y[1] (numeric) = 2.496445543064800E-2 " " absolute error = 9.30777376844083700E-2 " " relative error = 78.85124397314864 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0809999999999917 " " y[1] (analytic) = 0.1175713058083041 " " y[1] (numeric) = 2.426057960703975300E-2 " " absolute error = 9.33107262012643500E-2 " " relative error = 79.36522058656405 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0819999999999916 " " y[1] (analytic) = 0.11710130093017246 " " y[1] (numeric) = 2.355732817488178600E-2 " " absolute error = 9.35439727552906700E-2 " " relative error = 79.8829492176786 "%" h = 1.000E-3 " " "Finished!" "Maximum Time Reached before Solution Completed!" "diff ( y , x , 3 ) = sin(x);" Iterations = 982 "Total Elapsed Time "= 15 Minutes 2 Seconds "Elapsed Time(since restart) "= 15 Minutes 1 Seconds "Expected Time Remaining "= 59 Minutes 55 Seconds "Optimized Time Remaining "= 59 Minutes 53 Seconds "Time to Timeout " Unknown Percent Done = 20.061224489795745 "%" (%o51) true (%o51) diffeq.max