(%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 - 1 + 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 - 1 + 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 - 1 + 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 - 1 + 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_g : sin(array_x ), 1 1 1 1 array_tmp2 : cos(array_x ), array_tmp3 : array_tmp1 array_tmp2 , 1 1 1 1 1 array_tmp4 : array_tmp3 + array_const_0D0 , 1 1 1 if not array_y_set_initial then (if 1 <= glob_max_terms 1, 2 1 then (temporary : array_tmp4 glob_h factorial_3(0, 1), 1 array_y : temporary, array_y_higher : temporary, 2 1, 2 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 2, glob_h 2, 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_g : att(1, array_tmp2, array_x, 1), 2 array_tmp2 : - att(1, array_tmp2_g, array_x, 1), 2 array_tmp3 : ats(2, array_tmp1, array_tmp2, 1), 2 array_tmp4 : array_tmp3 + array_const_0D0 , 2 2 2 if not array_y_set_initial then (if 2 <= glob_max_terms 1, 3 1 then (temporary : array_tmp4 glob_h factorial_3(1, 2), 2 array_y : temporary, array_y_higher : temporary, 3 1, 3 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 3, glob_h 2, 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_g : att(2, array_tmp2, array_x, 1), 3 array_tmp2 : - att(2, array_tmp2_g, array_x, 1), 3 array_tmp3 : ats(3, array_tmp1, array_tmp2, 1), 3 array_tmp4 : array_tmp3 + array_const_0D0 , 3 3 3 if not array_y_set_initial then (if 3 <= glob_max_terms 1, 4 1 then (temporary : array_tmp4 glob_h factorial_3(2, 3), 3 array_y : temporary, array_y_higher : temporary, 4 1, 4 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 4, glob_h 2, 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_g : att(3, array_tmp2, array_x, 1), 4 array_tmp2 : - att(3, array_tmp2_g, array_x, 1), 4 array_tmp3 : ats(4, array_tmp1, array_tmp2, 1), 4 array_tmp4 : array_tmp3 + array_const_0D0 , 4 4 4 if not array_y_set_initial then (if 4 <= glob_max_terms 1, 5 1 then (temporary : array_tmp4 glob_h factorial_3(3, 4), 4 array_y : temporary, array_y_higher : temporary, 5 1, 5 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 5, glob_h 2, 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_g : att(4, array_tmp2, array_x, 1), 5 array_tmp2 : - att(4, array_tmp2_g, array_x, 1), 5 array_tmp3 : ats(5, array_tmp1, array_tmp2, 1), 5 array_tmp4 : array_tmp3 + array_const_0D0 , 5 5 5 if not array_y_set_initial then (if 5 <= glob_max_terms 1, 6 1 then (temporary : array_tmp4 glob_h factorial_3(4, 5), 5 array_y : temporary, array_y_higher : temporary, 6 1, 6 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 6, glob_h 2, 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_g : att(kkk - 1, array_tmp2, array_x, 1), kkk array_tmp2 : - att(kkk - 1, array_tmp2_g, array_x, 1), kkk array_tmp3 : ats(kkk, array_tmp1, array_tmp2, 1), kkk array_tmp4 : array_tmp3 + array_const_0D0 , order_d : 1, 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_tmp4 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_g : sin(array_x ), 1 1 1 1 array_tmp2 : cos(array_x ), array_tmp3 : array_tmp1 array_tmp2 , 1 1 1 1 1 array_tmp4 : array_tmp3 + array_const_0D0 , 1 1 1 if not array_y_set_initial then (if 1 <= glob_max_terms 1, 2 1 then (temporary : array_tmp4 glob_h factorial_3(0, 1), 1 array_y : temporary, array_y_higher : temporary, 2 1, 2 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 2, glob_h 2, 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_g : att(1, array_tmp2, array_x, 1), 2 array_tmp2 : - att(1, array_tmp2_g, array_x, 1), 2 array_tmp3 : ats(2, array_tmp1, array_tmp2, 1), 2 array_tmp4 : array_tmp3 + array_const_0D0 , 2 2 2 if not array_y_set_initial then (if 2 <= glob_max_terms 1, 3 1 then (temporary : array_tmp4 glob_h factorial_3(1, 2), 2 array_y : temporary, array_y_higher : temporary, 3 1, 3 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 3, glob_h 2, 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_g : att(2, array_tmp2, array_x, 1), 3 array_tmp2 : - att(2, array_tmp2_g, array_x, 1), 3 array_tmp3 : ats(3, array_tmp1, array_tmp2, 1), 3 array_tmp4 : array_tmp3 + array_const_0D0 , 3 3 3 if not array_y_set_initial then (if 3 <= glob_max_terms 1, 4 1 then (temporary : array_tmp4 glob_h factorial_3(2, 3), 3 array_y : temporary, array_y_higher : temporary, 4 1, 4 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 4, glob_h 2, 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_g : att(3, array_tmp2, array_x, 1), 4 array_tmp2 : - att(3, array_tmp2_g, array_x, 1), 4 array_tmp3 : ats(4, array_tmp1, array_tmp2, 1), 4 array_tmp4 : array_tmp3 + array_const_0D0 , 4 4 4 if not array_y_set_initial then (if 4 <= glob_max_terms 1, 5 1 then (temporary : array_tmp4 glob_h factorial_3(3, 4), 4 array_y : temporary, array_y_higher : temporary, 5 1, 5 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 5, glob_h 2, 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_g : att(4, array_tmp2, array_x, 1), 5 array_tmp2 : - att(4, array_tmp2_g, array_x, 1), 5 array_tmp3 : ats(5, array_tmp1, array_tmp2, 1), 5 array_tmp4 : array_tmp3 + array_const_0D0 , 5 5 5 if not array_y_set_initial then (if 5 <= glob_max_terms 1, 6 1 then (temporary : array_tmp4 glob_h factorial_3(4, 5), 5 array_y : temporary, array_y_higher : temporary, 6 1, 6 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 6, glob_h 2, 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_g : att(kkk - 1, array_tmp2, array_x, 1), kkk array_tmp2 : - att(kkk - 1, array_tmp2_g, array_x, 1), kkk array_tmp3 : ats(kkk, array_tmp1, array_tmp2, 1), kkk array_tmp4 : array_tmp3 + array_const_0D0 , order_d : 1, 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_tmp4 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 (if array_fact_1 = 0 then (ret : nnn!, array_fact_1 : ret) nnn nnn else ret : array_fact_1 ) else ret : nnn!, ret) nnn (%o39) factorial_1(nnn) := (if nnn <= glob_max_terms then (if array_fact_1 = 0 then (ret : nnn!, array_fact_1 : ret) nnn nnn else ret : array_fact_1 ) else ret : nnn!, ret) nnn (%i40) factorial_3(mmm, nnn) := (if (nnn <= glob_max_terms) and (mmm <= glob_max_terms) then (if array_fact_2 = 0 mmm, nnn factorial_1(mmm) then (ret : ----------------, array_fact_2 : ret) factorial_1(nnn) mmm, nnn mmm! else ret : array_fact_2 ) else ret : ----, ret) mmm, nnn nnn! (%o40) factorial_3(mmm, nnn) := (if (nnn <= glob_max_terms) and (mmm <= glob_max_terms) then (if array_fact_2 = 0 mmm, nnn factorial_1(mmm) then (ret : ----------------, array_fact_2 : ret) factorial_1(nnn) mmm, nnn mmm! else ret : array_fact_2 ) else ret : ----, ret) mmm, nnn nnn! (%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) 2 cos (x) (%i47) exact_soln_y(x) := 2.0 - ------- 2.0 2 cos (x) (%o47) exact_soln_y(x) := 2.0 - ------- 2.0 (%i48) mainprog() := (define_variable(INFO, 2, fixnum), define_variable(glob_max_terms, 30, fixnum), define_variable(glob_iolevel, 5, fixnum), define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(DEBUGL, 3, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(glob_log10abserr, 0.0, float), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_large_float, 9.0E+100, float), define_variable(glob_hmax, 1.0, float), define_variable(glob_clock_start_sec, 0.0, float), define_variable(glob_clock_sec, 0.0, float), define_variable(djd_debug, true, boolean), define_variable(glob_max_sec, 10000.0, float), define_variable(glob_hmin_init, 0.001, float), define_variable(glob_optimal_done, false, boolean), define_variable(centuries_in_millinium, 10.0, float), define_variable(min_in_hour, 60.0, float), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_optimal_clock_start_sec, 0.0, float), define_variable(glob_abserr, 1.0E-11, float), define_variable(glob_h, 0.1, 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_dump_analytic, false, boolean), define_variable(glob_hmin, 1.0E-11, float), define_variable(days_in_year, 365.0, float), define_variable(hours_in_day, 24.0, float), define_variable(sec_in_min, 60.0, float), define_variable(glob_warned2, false, boolean), define_variable(glob_small_float, 1.0E-51, float), define_variable(years_in_century, 100.0, float), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_log10_relerr, 1.0E-11, float), define_variable(glob_disp_incr, 0.1, float), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_no_eqs, 0, fixnum), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_not_yet_finished, true, boolean), define_variable(glob_log10normmin, 0.1, float), define_variable(glob_iter, 0, fixnum), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_smallish_float, 1.0E-101, float), define_variable(glob_reached_optimal_h, false, boolean), define_variable(glob_initial_pass, true, boolean), define_variable(djd_debug2, true, boolean), define_variable(glob_display_flag, true, boolean), define_variable(glob_subiter_method, 3, fixnum), define_variable(glob_relerr, 1.0E-11, float), define_variable(glob_log10_abserr, 1.0E-11, float), define_variable(glob_almost_1, 0.999, float), define_variable(glob_max_minutes, 0.0, float), define_variable(glob_warned, false, boolean), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(glob_dump, false, boolean), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_log10relerr, 0.0, float), define_variable(glob_current_iter, 0, fixnum), define_variable(glob_start, 0, fixnum), define_variable(glob_max_hours, 0.0, float), define_variable(glob_look_poles, false, boolean), 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/mult2postode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 1 ) = sin(x) * cos(x) ;"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits : 32,"), omniout_str(ALWAYS, "max_terms : 30,"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "x_start : 0.1,"), omniout_str(ALWAYS, "x_end : 10.0 ,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS, "glob_h : 0.00001 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 100,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_h : 0.001 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 1000,"), omniout_str(ALWAYS, "glob_max_minutes : 15,"), omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"), omniout_str(ALWAYS, "exact_soln_y (x) := ("), omniout_str(ALWAYS, "2.0 - cos(x)^2/2.0 "), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, ""), omniout_str(ALWAYS, "/* END USER DEF BLOCK */"), omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"), glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false, glob_small_float : 1.0E-200, glob_smallish_float : 1.0E-64, glob_large_float : 1.0E+100, glob_almost_1 : 0.99, glob_log10_abserr : - 8.0, glob_log10_relerr : - 8.0, glob_hmax : 0.01, Digits : 32, max_terms : 30, glob_max_terms : max_terms, glob_html_log : true, array(array_1st_rel_error, 1 + max_terms), array(array_tmp1_g, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_tmp2_g, 1 + max_terms), array(array_m1, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms), array(array_tmp3, 1 + max_terms), array(array_tmp4, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_y_init, 1 + max_terms), array(array_fact_1, 1 + max_terms), array(array_pole, 1 + max_terms), array(array_type_pole, 1 + max_terms), array(array_real_pole, 1 + 1, 1 + 3), array(array_poles, 1 + 1, 1 + 3), array(array_y_higher, 1 + 2, 1 + max_terms), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_complex_pole, 1 + 1, 1 + 3), array(array_y_higher_work2, 1 + 2, 1 + max_terms), array(array_fact_2, 1 + max_terms, 1 + max_terms), array(array_y_higher_work, 1 + 2, 1 + max_terms), term : 1, while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp1_g : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_norms : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp2_g : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp3 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp4 : 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_y : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_x : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_y_init : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_fact_1 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_pole : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_type_pole : 0.0, term term : 1 + 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 <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_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_complex_pole : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work2 : 0.0, ord, term term : 1 + 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 : 1 + ord), ord, term ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work : 0.0, ord, term term : 1 + term), ord : 1 + ord), array(array_tmp1_g, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1_g : 0.0, term term : 1 + term), array(array_tmp2_g, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp2_g : 0.0, term : 1 + term), term array(array_tmp4, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp4 : 0.0, term : 1 + term), term array(array_tmp3, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp3 : 0.0, term : 1 + term), term array(array_tmp2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term), term array(array_tmp1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term), term array(array_tmp0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term), term array(array_x, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term), term array(array_y, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term), term array(array_const_0D0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term), term array_const_0D0 : 0.0, array(array_const_1, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term), term array_const_1 : 1, array(array_m1, 1 + 1 + max_terms), term : 1, 1 while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term array_m1 : - 1.0, iiif : 0, while iiif <= glob_max_terms do (jjjf : 0, 1 while jjjf <= glob_max_terms do (array_fact_1 : 0, iiif array_fact_2 : 0, jjjf : 1 + jjjf), iiif : 1 + iiif), x_start : 0.1, iiif, jjjf x_end : 10.0, array_y_init : exact_soln_y(x_start), glob_h : 1.0E-5, 1 + 0 glob_look_poles : true, glob_max_iter : 100, 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 : false, 1, 1 1, 2 array_y_set_initial : false, 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 : 1, 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 : 1, ord : 2, calc_term : 1, 2 iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 2, iii array_y_higher 2, iii -------------------- 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 : 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 , 1 ) = sin(x) * cos(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, "2012-06-18T00:23:43-05:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "mult2"), logitem_str(html_log_file, "diff ( y , x , 1 ) = sin(x) * cos(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, " 092 "), logitem_str(html_log_file, "mult2 diffeq.max"), logitem_str(html_log_file, "mult2 maxima results"), logitem_str(html_log_file, "Mostly affecting speed of factorials"), logend(html_log_file)), if glob_html_log then close(html_log_file)) (%o48) mainprog() := (define_variable(INFO, 2, fixnum), define_variable(glob_max_terms, 30, fixnum), define_variable(glob_iolevel, 5, fixnum), define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(DEBUGL, 3, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(glob_log10abserr, 0.0, float), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_large_float, 9.0E+100, float), define_variable(glob_hmax, 1.0, float), define_variable(glob_clock_start_sec, 0.0, float), define_variable(glob_clock_sec, 0.0, float), define_variable(djd_debug, true, boolean), define_variable(glob_max_sec, 10000.0, float), define_variable(glob_hmin_init, 0.001, float), define_variable(glob_optimal_done, false, boolean), define_variable(centuries_in_millinium, 10.0, float), define_variable(min_in_hour, 60.0, float), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_optimal_clock_start_sec, 0.0, float), define_variable(glob_abserr, 1.0E-11, float), define_variable(glob_h, 0.1, 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_dump_analytic, false, boolean), define_variable(glob_hmin, 1.0E-11, float), define_variable(days_in_year, 365.0, float), define_variable(hours_in_day, 24.0, float), define_variable(sec_in_min, 60.0, float), define_variable(glob_warned2, false, boolean), define_variable(glob_small_float, 1.0E-51, float), define_variable(years_in_century, 100.0, float), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_log10_relerr, 1.0E-11, float), define_variable(glob_disp_incr, 0.1, float), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_no_eqs, 0, fixnum), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_not_yet_finished, true, boolean), define_variable(glob_log10normmin, 0.1, float), define_variable(glob_iter, 0, fixnum), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_smallish_float, 1.0E-101, float), define_variable(glob_reached_optimal_h, false, boolean), define_variable(glob_initial_pass, true, boolean), define_variable(djd_debug2, true, boolean), define_variable(glob_display_flag, true, boolean), define_variable(glob_subiter_method, 3, fixnum), define_variable(glob_relerr, 1.0E-11, float), define_variable(glob_log10_abserr, 1.0E-11, float), define_variable(glob_almost_1, 0.999, float), define_variable(glob_max_minutes, 0.0, float), define_variable(glob_warned, false, boolean), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(glob_dump, false, boolean), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_log10relerr, 0.0, float), define_variable(glob_current_iter, 0, fixnum), define_variable(glob_start, 0, fixnum), define_variable(glob_max_hours, 0.0, float), define_variable(glob_look_poles, false, boolean), 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/mult2postode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 1 ) = sin(x) * cos(x) ;"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits : 32,"), omniout_str(ALWAYS, "max_terms : 30,"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "x_start : 0.1,"), omniout_str(ALWAYS, "x_end : 10.0 ,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS, "glob_h : 0.00001 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 100,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_h : 0.001 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 1000,"), omniout_str(ALWAYS, "glob_max_minutes : 15,"), omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"), omniout_str(ALWAYS, "exact_soln_y (x) := ("), omniout_str(ALWAYS, "2.0 - cos(x)^2/2.0 "), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, ""), omniout_str(ALWAYS, "/* END USER DEF BLOCK */"), omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"), glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false, glob_small_float : 1.0E-200, glob_smallish_float : 1.0E-64, glob_large_float : 1.0E+100, glob_almost_1 : 0.99, glob_log10_abserr : - 8.0, glob_log10_relerr : - 8.0, glob_hmax : 0.01, Digits : 32, max_terms : 30, glob_max_terms : max_terms, glob_html_log : true, array(array_1st_rel_error, 1 + max_terms), array(array_tmp1_g, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_tmp2_g, 1 + max_terms), array(array_m1, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms), array(array_tmp3, 1 + max_terms), array(array_tmp4, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_y_init, 1 + max_terms), array(array_fact_1, 1 + max_terms), array(array_pole, 1 + max_terms), array(array_type_pole, 1 + max_terms), array(array_real_pole, 1 + 1, 1 + 3), array(array_poles, 1 + 1, 1 + 3), array(array_y_higher, 1 + 2, 1 + max_terms), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_complex_pole, 1 + 1, 1 + 3), array(array_y_higher_work2, 1 + 2, 1 + max_terms), array(array_fact_2, 1 + max_terms, 1 + max_terms), array(array_y_higher_work, 1 + 2, 1 + max_terms), term : 1, while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp1_g : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_norms : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp2_g : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp3 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp4 : 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_y : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_x : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_y_init : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_fact_1 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_pole : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_type_pole : 0.0, term term : 1 + 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 <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_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_complex_pole : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work2 : 0.0, ord, term term : 1 + 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 : 1 + ord), ord, term ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work : 0.0, ord, term term : 1 + term), ord : 1 + ord), array(array_tmp1_g, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1_g : 0.0, term term : 1 + term), array(array_tmp2_g, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp2_g : 0.0, term : 1 + term), term array(array_tmp4, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp4 : 0.0, term : 1 + term), term array(array_tmp3, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp3 : 0.0, term : 1 + term), term array(array_tmp2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term), term array(array_tmp1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term), term array(array_tmp0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term), term array(array_x, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term), term array(array_y, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term), term array(array_const_0D0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term), term array_const_0D0 : 0.0, array(array_const_1, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term), term array_const_1 : 1, array(array_m1, 1 + 1 + max_terms), term : 1, 1 while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term array_m1 : - 1.0, iiif : 0, while iiif <= glob_max_terms do (jjjf : 0, 1 while jjjf <= glob_max_terms do (array_fact_1 : 0, iiif array_fact_2 : 0, jjjf : 1 + jjjf), iiif : 1 + iiif), x_start : 0.1, iiif, jjjf x_end : 10.0, array_y_init : exact_soln_y(x_start), glob_h : 1.0E-5, 1 + 0 glob_look_poles : true, glob_max_iter : 100, 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 : false, 1, 1 1, 2 array_y_set_initial : false, 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 : 1, 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 : 1, ord : 2, calc_term : 1, 2 iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 2, iii array_y_higher 2, iii -------------------- 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 : 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 , 1 ) = sin(x) * cos(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, "2012-06-18T00:23:43-05:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "mult2"), logitem_str(html_log_file, "diff ( y , x , 1 ) = sin(x) * cos(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, " 092 "), logitem_str(html_log_file, "mult2 diffeq.max"), logitem_str(html_log_file, "mult2 maxima results"), logitem_str(html_log_file, "Mostly affecting speed of factorials"), logend(html_log_file)), if glob_html_log then close(html_log_file)) (%i49) mainprog() "##############ECHO OF PROBLEM#################" "##############temp/mult2postode.ode#################" "diff ( y , x , 1 ) = sin(x) * cos(x) ;" "!" "/* BEGIN FIRST INPUT BLOCK */" "Digits : 32," "max_terms : 30," "!" "/* END FIRST INPUT BLOCK */" "/* BEGIN SECOND INPUT BLOCK */" "x_start : 0.1," "x_end : 10.0 ," "array_y_init[0 + 1] : exact_soln_y(x_start)," "glob_h : 0.00001 ," "glob_look_poles : true," "glob_max_iter : 100," "/* END SECOND INPUT BLOCK */" "/* BEGIN OVERRIDE BLOCK */" "glob_h : 0.001 ," "glob_look_poles : true," "glob_max_iter : 1000," "glob_max_minutes : 15," "/* END OVERRIDE BLOCK */" "!" "/* BEGIN USER DEF BLOCK */" "exact_soln_y (x) := (" "2.0 - cos(x)^2/2.0 " ");" "" "/* END USER DEF BLOCK */" "#######END OF ECHO OF PROBLEM#################" "START of Soultion" x[1] = 0.1 " " y[1] (analytic) = 1.5049833555396894 " " y[1] (numeric) = 1.5049833555396894 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.101 " " y[1] (analytic) = 1.5050831801719897 " " y[1] (numeric) = 1.5050831801719895 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.475297896157856700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10200000000000001 " " y[1] (analytic) = 1.5051839844712425 " " y[1] (numeric) = 1.5051839844712422 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.47519909337218700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10300000000000001 " " y[1] (analytic) = 1.5052857680342309 " " y[1] (numeric) = 1.5052857680342306 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.475099344192975500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10400000000000001 " " y[1] (analytic) = 1.5053885304538208 " " y[1] (numeric) = 1.5053885304538206 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.474998649405763800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10500000000000001 " " y[1] (analytic) = 1.505492271318963 " " y[1] (numeric) = 1.5054922713189627 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.474897009803297400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10600000000000001 " " y[1] (analytic) = 1.5055969902146937 " " y[1] (numeric) = 1.5055969902146935 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.474794426185511700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10700000000000001 " " y[1] (analytic) = 1.5057026867221377 " " y[1] (numeric) = 1.5057026867221375 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.47469089935951900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10800000000000001 " " y[1] (analytic) = 1.5058093604185092 " " y[1] (numeric) = 1.505809360418509 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.474586430139592800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10900000000000001 " " y[1] (analytic) = 1.5059170108771134 " " y[1] (numeric) = 1.5059170108771132 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.474481019347159400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11000000000000001 " " y[1] (analytic) = 1.5060256376673486 " " y[1] (numeric) = 1.5060256376673484 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.474374667810778300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11100000000000002 " " y[1] (analytic) = 1.506135240354708 " " y[1] (numeric) = 1.5061352403547077 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.474267376366134600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11200000000000002 " " y[1] (analytic) = 1.5062458185007805 " " y[1] (numeric) = 1.5062458185007803 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.474159145856020500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11300000000000002 " " y[1] (analytic) = 1.5063573716632543 " " y[1] (numeric) = 1.506357371663254 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.94809995426064500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11400000000000002 " " y[1] (analytic) = 1.5064698993959165 " " y[1] (numeric) = 1.506469899395916 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.947879742092020500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11500000000000002 " " y[1] (analytic) = 1.5065834012486563 " " y[1] (numeric) = 1.5065834012486559 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.94765765693423600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11600000000000002 " " y[1] (analytic) = 1.5066978767674666 " " y[1] (numeric) = 1.5066978767674661 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.94743370052946760000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11700000000000002 " " y[1] (analytic) = 1.5068133254944456 " " y[1] (numeric) = 1.506813325494445 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.42081181195095150000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11800000000000002 " " y[1] (analytic) = 1.506929746967798 " " y[1] (numeric) = 1.5069297469677976 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.94698018101803700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11900000000000002 " " y[1] (analytic) = 1.5070471407218389 " " y[1] (numeric) = 1.5070471407218382 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.42012593219898900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12000000000000002 " " y[1] (analytic) = 1.5071655062869926 " " y[1] (numeric) = 1.507165506286992 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.41977879666421700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12100000000000002 " " y[1] (analytic) = 1.5072848431897974 " " y[1] (numeric) = 1.507284843189797 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.9462859117607600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12200000000000003 " " y[1] (analytic) = 1.507405150952906 " " y[1] (numeric) = 1.5074051509529054 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.41907614786905500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12300000000000003 " " y[1] (analytic) = 1.5075264290950874 " " y[1] (numeric) = 1.5075264290950867 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.41872064010811100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12400000000000003 " " y[1] (analytic) = 1.507648677131229 " " y[1] (numeric) = 1.5076486771312283 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.41836234713926130000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12500000000000003 " " y[1] (analytic) = 1.5077718945723388 " " y[1] (numeric) = 1.5077718945723382 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.418001271764219000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12600000000000003 " " y[1] (analytic) = 1.5078960809255475 " " y[1] (numeric) = 1.5078960809255468 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.417637416805411700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12700000000000003 " " y[1] (analytic) = 1.5080212356941096 " " y[1] (numeric) = 1.508021235694109 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.41727078510593340000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12800000000000003 " " y[1] (analytic) = 1.5081473583774063 " " y[1] (numeric) = 1.5081473583774057 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.416901379529501500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12900000000000003 " " y[1] (analytic) = 1.5082744484709472 " " y[1] (numeric) = 1.5082744484709465 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.41652920296040700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13000000000000003 " " y[1] (analytic) = 1.5084025054663717 " " y[1] (numeric) = 1.508402505466371 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.41615425830346900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13100000000000003 " " y[1] (analytic) = 1.5085315288514523 " " y[1] (numeric) = 1.5085315288514516 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.41577654848398800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13200000000000003 " " y[1] (analytic) = 1.5086615181100955 " " y[1] (numeric) = 1.5086615181100949 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.41539607644769500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13300000000000003 " " y[1] (analytic) = 1.5087924727223445 " " y[1] (numeric) = 1.5087924727223438 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.41501284516070850000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13400000000000004 " " y[1] (analytic) = 1.508924392164381 " " y[1] (numeric) = 1.5089243921643802 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.41462685760948200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13500000000000004 " " y[1] (analytic) = 1.5090572759085275 " " y[1] (numeric) = 1.5090572759085266 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.8856508224010110000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13600000000000004 " " y[1] (analytic) = 1.509191123423249 " " y[1] (numeric) = 1.509191123423248 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.88512883434868800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13700000000000004 " " y[1] (analytic) = 1.5093259341731557 " " y[1] (numeric) = 1.5093259341731549 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.88460318338524000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13800000000000004 " " y[1] (analytic) = 1.5094617076190049 " " y[1] (numeric) = 1.509461707619004 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.88407387360041300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13900000000000004 " " y[1] (analytic) = 1.5095984432177028 " " y[1] (numeric) = 1.5095984432177019 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.88354090911074800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14000000000000004 " " y[1] (analytic) = 1.5097361404223073 " " y[1] (numeric) = 1.5097361404223064 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.88300429405950100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14100000000000004 " " y[1] (analytic) = 1.5098747986820298 " " y[1] (numeric) = 1.509874798682029 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.88246403261658800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14200000000000004 " " y[1] (analytic) = 1.5100144174422374 " " y[1] (numeric) = 1.5100144174422365 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.88192012897850800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14300000000000004 " " y[1] (analytic) = 1.5101549961444554 " " y[1] (numeric) = 1.5101549961444545 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.88137258736828100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14400000000000004 " " y[1] (analytic) = 1.5102965342263688 " " y[1] (numeric) = 1.510296534226368 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.88082141203537700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14500000000000005 " " y[1] (analytic) = 1.5104390311218259 " " y[1] (numeric) = 1.510439031121825 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.88026660725565100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14600000000000005 " " y[1] (analytic) = 1.5105824862608388 " " y[1] (numeric) = 1.5105824862608381 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.40978113299845100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14700000000000005 " " y[1] (analytic) = 1.5107268990695877 " " y[1] (numeric) = 1.510726899069587 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.40935959494297870000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14800000000000005 " " y[1] (analytic) = 1.510872268970421 " " y[1] (numeric) = 1.5108722689704206 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.93929022969417360000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14900000000000005 " " y[1] (analytic) = 1.5110185953818598 " " y[1] (numeric) = 1.5110185953818593 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.93900559005254200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15000000000000005 " " y[1] (analytic) = 1.5111658777185986 " " y[1] (numeric) = 1.511165877718598 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.408078719860678600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15100000000000005 " " y[1] (analytic) = 1.5113141153915077 " " y[1] (numeric) = 1.5113141153915073 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.938430901474249300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15200000000000005 " " y[1] (analytic) = 1.5114633078076372 " " y[1] (numeric) = 1.5114633078076367 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.93814085698322200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15300000000000005 " " y[1] (analytic) = 1.5116134543702175 " " y[1] (numeric) = 1.5116134543702169 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.40677352301435300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15400000000000005 " " y[1] (analytic) = 1.5117645544786624 " " y[1] (numeric) = 1.5117645544786618 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.40633306821254730000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15500000000000005 " " y[1] (analytic) = 1.5119166075285717 " " y[1] (numeric) = 1.511916607528571 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.405889924471284600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15600000000000006 " " y[1] (analytic) = 1.5120696129117335 " " y[1] (numeric) = 1.5120696129117328 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.40544409521163500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15700000000000006 " " y[1] (analytic) = 1.5122235700161264 " " y[1] (numeric) = 1.5122235700161257 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.4049955838738203000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15800000000000006 " " y[1] (analytic) = 1.512378478225922 " " y[1] (numeric) = 1.5123784782259215 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.93636292927810200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15900000000000006 " " y[1] (analytic) = 1.512534336921488 " " y[1] (numeric) = 1.5125343369214876 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.93606035254665550000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16000000000000006 " " y[1] (analytic) = 1.5126911454793899 " " y[1] (numeric) = 1.5126911454793894 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.935755994719764000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16100000000000006 " " y[1] (analytic) = 1.5128489032723933 " " y[1] (numeric) = 1.5128489032723929 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.93544985814160300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16200000000000006 " " y[1] (analytic) = 1.5130076096694673 " " y[1] (numeric) = 1.513007609669467 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.93514194516892530000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16300000000000006 " " y[1] (analytic) = 1.5131672640357867 " " y[1] (numeric) = 1.5131672640357863 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.93483225817102960000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16400000000000006 " " y[1] (analytic) = 1.5133278657327343 " " y[1] (numeric) = 1.5133278657327338 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.934520799529718400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16500000000000006 " " y[1] (analytic) = 1.5134894141179034 " " y[1] (numeric) = 1.513489414117903 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.93420757163926400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16600000000000006 " " y[1] (analytic) = 1.5136519085451006 " " y[1] (numeric) = 1.5136519085451001 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.93389257690636730000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16700000000000007 " " y[1] (analytic) = 1.5138153483643484 " " y[1] (numeric) = 1.513815348364348 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.9335758177501200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16800000000000007 " " y[1] (analytic) = 1.513979732921888 " " y[1] (numeric) = 1.5139797329218874 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.399885944902951500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16900000000000007 " " y[1] (analytic) = 1.514145061560181 " " y[1] (numeric) = 1.5141450615601806 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.93293701590567100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17000000000000007 " " y[1] (analytic) = 1.5143113336179135 " " y[1] (numeric) = 1.514311333617913 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.932614978117266700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17100000000000007 " " y[1] (analytic) = 1.5144785484299972 " " y[1] (numeric) = 1.5144785484299967 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.93229118570502800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17200000000000007 " " y[1] (analytic) = 1.5146467053275732 " " y[1] (numeric) = 1.5146467053275727 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.93196564114942770000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17300000000000007 " " y[1] (analytic) = 1.514815803638014 " " y[1] (numeric) = 1.5148158036380135 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.93163834694309700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17400000000000007 " " y[1] (analytic) = 1.5149858426849268 " " y[1] (numeric) = 1.5149858426849263 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.931309305590787400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17500000000000007 " " y[1] (analytic) = 1.5151568217881553 " " y[1] (numeric) = 1.515156821788155 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.465489259804665700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17600000000000007 " " y[1] (analytic) = 1.5153287402637836 " " y[1] (numeric) = 1.5153287402637834 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.465322995763800300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17700000000000007 " " y[1] (analytic) = 1.5155015974241381 " " y[1] (numeric) = 1.5155015974241377 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.93031172388647070000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17800000000000007 " " y[1] (analytic) = 1.5156753925777902 " " y[1] (numeric) = 1.5156753925777897 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.92997571923877700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17900000000000008 " " y[1] (analytic) = 1.5158501250295593 " " y[1] (numeric) = 1.515850125029559 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.464818990074638300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18000000000000008 " " y[1] (analytic) = 1.5160257940805162 " " y[1] (numeric) = 1.516025794080516 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.464649254597303300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18100000000000008 " " y[1] (analytic) = 1.516202399027985 " " y[1] (numeric) = 1.5162023990279847 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.464478654481623800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18200000000000008 " " y[1] (analytic) = 1.516379939165546 " " y[1] (numeric) = 1.5163799391655455 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.92861438205547600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18300000000000008 " " y[1] (analytic) = 1.5165584137830386 " " y[1] (numeric) = 1.5165584137830381 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.928269731083334400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18400000000000008 " " y[1] (analytic) = 1.5167378221665648 " " y[1] (numeric) = 1.5167378221665644 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.92792335867057800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18500000000000008 " " y[1] (analytic) = 1.5169181635984914 " " y[1] (numeric) = 1.516918163598491 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.92757526745264340000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18600000000000008 " " y[1] (analytic) = 1.517099437357453 " " y[1] (numeric) = 1.5170994373574525 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.927225460076603400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18700000000000008 " " y[1] (analytic) = 1.5172816427183544 " " y[1] (numeric) = 1.517281642718354 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.926873939201126700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18800000000000008 " " y[1] (analytic) = 1.5174647789523747 " " y[1] (numeric) = 1.5174647789523743 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.926520707496435600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18900000000000008 " " y[1] (analytic) = 1.5176488453269692 " " y[1] (numeric) = 1.5176488453269688 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.92616576764426700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19000000000000009 " " y[1] (analytic) = 1.5178338411058725 " " y[1] (numeric) = 1.517833841105872 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.925809122337827400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1910000000000001 " " y[1] (analytic) = 1.5180197655491017 " " y[1] (numeric) = 1.5180197655491015 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.46272538714087700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1920000000000001 " " y[1] (analytic) = 1.5182066179129596 " " y[1] (numeric) = 1.5182066179129594 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.462545363096035300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1930000000000001 " " y[1] (analytic) = 1.5183943974500367 " " y[1] (numeric) = 1.5183943974500365 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.462364490398073700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1940000000000001 " " y[1] (analytic) = 1.5185831034092154 " " y[1] (numeric) = 1.518583103409215 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.92436554083265800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1950000000000001 " " y[1] (analytic) = 1.5187727350356717 " " y[1] (numeric) = 1.5187727350356715 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.462000204525768800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1960000000000001 " " y[1] (analytic) = 1.5189632915708797 " " y[1] (numeric) = 1.5189632915708793 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.923633588213938600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1970000000000001 " " y[1] (analytic) = 1.5191547722526133 " " y[1] (numeric) = 1.5191547722526129 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.92326508109219200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1980000000000001 " " y[1] (analytic) = 1.51934717631495 " " y[1] (numeric) = 1.5193471763149495 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.922894890469760500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1990000000000001 " " y[1] (analytic) = 1.519540502988274 " " y[1] (numeric) = 1.5195405029882736 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.922523019141199000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2000000000000001 " " y[1] (analytic) = 1.5197347514992787 " " y[1] (numeric) = 1.5197347514992783 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.922149469912107600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2010000000000001 " " y[1] (analytic) = 1.5199299210709705 " " y[1] (numeric) = 1.51992992107097 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.921774245599094700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2020000000000001 " " y[1] (analytic) = 1.520126010922671 " " y[1] (numeric) = 1.5201260109226706 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.92139734902972800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2030000000000001 " " y[1] (analytic) = 1.5203230202700218 " " y[1] (numeric) = 1.520323020270021 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.38152817456373900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2040000000000001 " " y[1] (analytic) = 1.5205209483249849 " " y[1] (numeric) = 1.5205209483249842 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.38095782573012900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2050000000000001 " " y[1] (analytic) = 1.5207197942958488 " " y[1] (numeric) = 1.5207197942958481 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.380384981334048400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2060000000000001 " " y[1] (analytic) = 1.5209195573872298 " " y[1] (numeric) = 1.5209195573872292 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.379809645681968500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2070000000000001 " " y[1] (analytic) = 1.5211202368000758 " " y[1] (numeric) = 1.5211202368000751 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.37923182309647600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2080000000000001 " " y[1] (analytic) = 1.5213218317316695 " " y[1] (numeric) = 1.5213218317316688 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.378651517916207000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2090000000000001 " " y[1] (analytic) = 1.5215243413756312 " " y[1] (numeric) = 1.5215243413756305 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.37806873449578300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2100000000000001 " " y[1] (analytic) = 1.521727764921923 " " y[1] (numeric) = 1.5217277649219223 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.377483477205740000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2110000000000001 " " y[1] (analytic) = 1.5219321015568505 " " y[1] (numeric) = 1.5219321015568499 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.37689575043247100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2120000000000001 " " y[1] (analytic) = 1.522137350463068 " " y[1] (numeric) = 1.5221373504630673 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.37630555857814850000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2130000000000001 " " y[1] (analytic) = 1.5223435108195795 " " y[1] (numeric) = 1.5223435108195789 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.37571290606066640000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2140000000000001 " " y[1] (analytic) = 1.5225505818017444 " " y[1] (numeric) = 1.5225505818017437 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.37511779731356800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2150000000000001 " " y[1] (analytic) = 1.5227585625812787 " " y[1] (numeric) = 1.522758562581278 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.374520236785983000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2160000000000001 " " y[1] (analytic) = 1.52296745232626 " " y[1] (numeric) = 1.522967452326259 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.83189363859007700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2170000000000001 " " y[1] (analytic) = 1.5231772502011287 " " y[1] (numeric) = 1.523177250201128 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.3733177782633900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2180000000000001 " " y[1] (analytic) = 1.5233879553666947 " " y[1] (numeric) = 1.5233879553666938 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.83028385232527200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2190000000000001 " " y[1] (analytic) = 1.5235995669801368 " " y[1] (numeric) = 1.5235995669801359 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.8294740885267290000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2200000000000001 " " y[1] (analytic) = 1.5238120841950091 " " y[1] (numeric) = 1.5238120841950082 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.82866108565694400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2210000000000001 " " y[1] (analytic) = 1.5240255061612433 " " y[1] (numeric) = 1.5240255061612422 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.28480606221359400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22200000000000011 " " y[1] (analytic) = 1.5242398320251513 " " y[1] (numeric) = 1.5242398320251502 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.28378173367953900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22300000000000011 " " y[1] (analytic) = 1.5244550609294303 " " y[1] (numeric) = 1.5244550609294292 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.2827533790879700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22400000000000012 " " y[1] (analytic) = 1.5246711920131648 " " y[1] (numeric) = 1.5246711920131637 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.281721006082800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22500000000000012 " " y[1] (analytic) = 1.524888224411831 " " y[1] (numeric) = 1.5248882244118298 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.28068462233278700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22600000000000012 " " y[1] (analytic) = 1.525106157257299 " " y[1] (numeric) = 1.5251061572572981 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.82371538842513200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22700000000000012 " " y[1] (analytic) = 1.5253249896778382 " " y[1] (numeric) = 1.5253249896778376 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.367159912038070500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22800000000000012 " " y[1] (analytic) = 1.5255447207981194 " " y[1] (numeric) = 1.5255447207981188 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.36653089020289500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22900000000000012 " " y[1] (analytic) = 1.525765349739218 " " y[1] (numeric) = 1.5257653497392174 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.365899480473512400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23000000000000012 " " y[1] (analytic) = 1.5259868756186188 " " y[1] (numeric) = 1.5259868756186181 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.36526568752467370000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23100000000000012 " " y[1] (analytic) = 1.5262092975502182 " " y[1] (numeric) = 1.5262092975502177 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.90975301069708200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23200000000000012 " " y[1] (analytic) = 1.5264326146443292 " " y[1] (numeric) = 1.5264326146443286 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.36399097074002400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23300000000000012 " " y[1] (analytic) = 1.5266568260076834 " " y[1] (numeric) = 1.5266568260076827 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.36335005632589600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23400000000000012 " " y[1] (analytic) = 1.5268819307434358 " " y[1] (numeric) = 1.5268819307434351 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.36270677753554100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23500000000000013 " " y[1] (analytic) = 1.5271079279511677 " " y[1] (numeric) = 1.527107927951167 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.36206113911547230000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23600000000000013 " " y[1] (analytic) = 1.5273348167268908 " " y[1] (numeric) = 1.52733481672689 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.36141314582634900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23700000000000013 " " y[1] (analytic) = 1.5275625961630501 " " y[1] (numeric) = 1.5275625961630492 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.81435040325720500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23800000000000013 " " y[1] (analytic) = 1.527791265348528 " " y[1] (numeric) = 1.5277912653485273 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.3601101137538700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23900000000000013 " " y[1] (analytic) = 1.528020823368648 " " y[1] (numeric) = 1.5280208233686476 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.906303389707944300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24000000000000013 " " y[1] (analytic) = 1.528251269305179 " " y[1] (numeric) = 1.5282512693051784 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.35879771968357200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24100000000000013 " " y[1] (analytic) = 1.528482602236337 " " y[1] (numeric) = 1.5284826022363363 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.3581380239491600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24200000000000013 " " y[1] (analytic) = 1.5287148212367905 " " y[1] (numeric) = 1.5287148212367898 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.35747600220272260000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24300000000000013 " " y[1] (analytic) = 1.5289479253776643 " " y[1] (numeric) = 1.5289479253776634 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.80908221240260300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24400000000000013 " " y[1] (analytic) = 1.5291819137265417 " " y[1] (numeric) = 1.5291819137265408 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.80819333349083200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24500000000000013 " " y[1] (analytic) = 1.5294167853474696 " " y[1] (numeric) = 1.529416785347469 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.35547602953601900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24600000000000014 " " y[1] (analytic) = 1.5296525393009621 " " y[1] (numeric) = 1.5296525393009615 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.35480475245385630000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24700000000000014 " " y[1] (analytic) = 1.5298891746440038 " " y[1] (numeric) = 1.529889174644003 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.35413117378322060000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24800000000000014 " " y[1] (analytic) = 1.5301266904300532 " " y[1] (numeric) = 1.5301266904300526 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.35345529844899400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24900000000000014 " " y[1] (analytic) = 1.5303650857090478 " " y[1] (numeric) = 1.5303650857090472 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.352777131389280500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2500000000000001 " " y[1] (analytic) = 1.5306043595274068 " " y[1] (numeric) = 1.5306043595274061 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.352096677555335500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2510000000000001 " " y[1] (analytic) = 1.530844510928035 " " y[1] (numeric) = 1.5308445109280344 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.35141394191149700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2520000000000001 " " y[1] (analytic) = 1.5310855389503275 " " y[1] (numeric) = 1.5310855389503268 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.350728929435111500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2530000000000001 " " y[1] (analytic) = 1.5313274426301722 " " y[1] (numeric) = 1.5313274426301715 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.35004164511646200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2540000000000001 " " y[1] (analytic) = 1.5315702209999549 " " y[1] (numeric) = 1.5315702209999542 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.34935209395869770000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2550000000000001 " " y[1] (analytic) = 1.5318138730885622 " " y[1] (numeric) = 1.5318138730885615 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.34866028097776100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2560000000000001 " " y[1] (analytic) = 1.5320583979213864 " " y[1] (numeric) = 1.5320583979213855 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.79728828160308700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2570000000000001 " " y[1] (analytic) = 1.5323037945203282 " " y[1] (numeric) = 1.5323037945203273 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.79635985289823300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2580000000000001 " " y[1] (analytic) = 1.5325500619038017 " " y[1] (numeric) = 1.5325500619038008 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.79542842859430400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2590000000000001 " " y[1] (analytic) = 1.5327971990867377 " " y[1] (numeric) = 1.5327971990867368 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.79449401544649600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2600000000000001 " " y[1] (analytic) = 1.5330452050805876 " " y[1] (numeric) = 1.5330452050805867 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.7935566202265800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2610000000000001 " " y[1] (analytic) = 1.533294078893328 " " y[1] (numeric) = 1.5332940788933271 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.79261624972280500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2620000000000001 " " y[1] (analytic) = 1.5335438195294637 " " y[1] (numeric) = 1.533543819529463 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.34375468305485570000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2630000000000001 " " y[1] (analytic) = 1.533794425990033 " " y[1] (numeric) = 1.5337944259900322 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.34304495757388200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2640000000000001 " " y[1] (analytic) = 1.5340458972726099 " " y[1] (numeric) = 1.5340458972726092 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.34233301597701570000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2650000000000001 " " y[1] (analytic) = 1.53429823237131 " " y[1] (numeric) = 1.534298232371309 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.78882515120554700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2660000000000001 " " y[1] (analytic) = 1.5345514302767926 " " y[1] (numeric) = 1.5345514302767918 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.78787000667629100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2670000000000001 " " y[1] (analytic) = 1.534805489976267 " " y[1] (numeric) = 1.5348054899762662 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.78691192793335100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2680000000000001 " " y[1] (analytic) = 1.5350604104534946 " " y[1] (numeric) = 1.5350604104534937 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.78595092187763100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.26900000000000013 " " y[1] (analytic) = 1.5353161906887938 " " y[1] (numeric) = 1.5353161906887929 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.78498699542573600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27000000000000013 " " y[1] (analytic) = 1.5355728296590438 " " y[1] (numeric) = 1.5355728296590432 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.338015116632411600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27100000000000013 " " y[1] (analytic) = 1.5358303263376896 " " y[1] (numeric) = 1.535830326337689 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.33728780680834300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27200000000000013 " " y[1] (analytic) = 1.5360886796947444 " " y[1] (numeric) = 1.5360886796947437 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.336558322319449000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27300000000000013 " " y[1] (analytic) = 1.5363478886967952 " " y[1] (numeric) = 1.5363478886967945 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.3358266683995700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27400000000000013 " " y[1] (analytic) = 1.5366079523070062 " " y[1] (numeric) = 1.5366079523070055 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.33509285029395600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27500000000000013 " " y[1] (analytic) = 1.5368688694851236 " " y[1] (numeric) = 1.536868869485123 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.334356873259198600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27600000000000013 " " y[1] (analytic) = 1.5371306391874788 " " y[1] (numeric) = 1.5371306391874782 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.33361874256315450000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27700000000000014 " " y[1] (analytic) = 1.5373932603669935 " " y[1] (numeric) = 1.5373932603669929 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.33287846348487400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27800000000000014 " " y[1] (analytic) = 1.537656731973183 " " y[1] (numeric) = 1.5376567319731826 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.88809069420968500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27900000000000014 " " y[1] (analytic) = 1.5379210529521619 " " y[1] (numeric) = 1.5379210529521614 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.887594320902220300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28000000000000014 " " y[1] (analytic) = 1.538186222246646 " " y[1] (numeric) = 1.5381862222466456 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.887096525942315400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28100000000000014 " " y[1] (analytic) = 1.5384522387959587 " " y[1] (numeric) = 1.5384522387959583 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.886597312878694000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28200000000000014 " " y[1] (analytic) = 1.5387191015360342 " " y[1] (numeric) = 1.5387191015360338 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.886096685267300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28300000000000014 " " y[1] (analytic) = 1.5389868093994217 " " y[1] (numeric) = 1.5389868093994215 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.44279732333562120000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28400000000000014 " " y[1] (analytic) = 1.5392553613152904 " " y[1] (numeric) = 1.5392553613152902 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.442545600330374700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28500000000000014 " " y[1] (analytic) = 1.5395247562094327 " " y[1] (numeric) = 1.5395247562094325 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.4422931754065602000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28600000000000014 " " y[1] (analytic) = 1.5397949930042698 " " y[1] (numeric) = 1.5397949930042694 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.88408010071267430000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28700000000000014 " " y[1] (analytic) = 1.5400660706188545 " " y[1] (numeric) = 1.540066070618854 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.88357245395070300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28800000000000014 " " y[1] (analytic) = 1.5403379879688766 " " y[1] (numeric) = 1.5403379879688763 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.44153170706270900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28900000000000015 " " y[1] (analytic) = 1.5406107439666674 " " y[1] (numeric) = 1.5406107439666672 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.44127649242095280000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29000000000000015 " " y[1] (analytic) = 1.5408843375212034 " " y[1] (numeric) = 1.540884337521203 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.88204116971207600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29100000000000015 " " y[1] (analytic) = 1.5411587675381102 " " y[1] (numeric) = 1.5411587675381098 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.88152797235461400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29200000000000015 " " y[1] (analytic) = 1.5414340329196685 " " y[1] (numeric) = 1.541434032919668 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.881013396394928600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29300000000000015 " " y[1] (analytic) = 1.541710132564817 " " y[1] (numeric) = 1.5417101325648166 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.88049744546510670000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29400000000000015 " " y[1] (analytic) = 1.5419870653691574 " " y[1] (numeric) = 1.5419870653691572 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.439990061601930700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29500000000000015 " " y[1] (analytic) = 1.542264830224959 " " y[1] (numeric) = 1.5422648302249589 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.439730716628241000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29600000000000015 " " y[1] (analytic) = 1.542543426021163 " " y[1] (numeric) = 1.5425434260211626 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.878941379274790000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29700000000000015 " " y[1] (analytic) = 1.5428228516433862 " " y[1] (numeric) = 1.5428228516433857 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.87841996491708100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29800000000000015 " " y[1] (analytic) = 1.5431031059739264 " " y[1] (numeric) = 1.543103105973926 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.877897193848084600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29900000000000015 " " y[1] (analytic) = 1.543384187891767 " " y[1] (numeric) = 1.5433841878917665 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.877373069738908000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30000000000000016 " " y[1] (analytic) = 1.5436660962725806 " " y[1] (numeric) = 1.54366609627258 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.315271394400489500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30100000000000016 " " y[1] (analytic) = 1.5439488299887338 " " y[1] (numeric) = 1.5439488299887332 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.314481165674089500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30200000000000016 " " y[1] (analytic) = 1.5442323879092923 " " y[1] (numeric) = 1.5442323879092918 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.87579261597606330000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30300000000000016 " " y[1] (analytic) = 1.544516768900025 " " y[1] (numeric) = 1.5445167689000245 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.8752631165431397000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30400000000000016 " " y[1] (analytic) = 1.544801971823408 " " y[1] (numeric) = 1.5448019718234076 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.874732282519562600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30500000000000016 " " y[1] (analytic) = 1.5450879955386303 " " y[1] (numeric) = 1.5450879955386299 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.87420011761368600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30600000000000016 " " y[1] (analytic) = 1.5453748389015969 " " y[1] (numeric) = 1.5453748389015967 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.436833312769952600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30700000000000016 " " y[1] (analytic) = 1.5456625007649352 " " y[1] (numeric) = 1.545662500764935 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.436565905009297400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30800000000000016 " " y[1] (analytic) = 1.545950979977998 " " y[1] (numeric) = 1.5459509799779978 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.436297837388035600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30900000000000016 " " y[1] (analytic) = 1.546240275386869 " " y[1] (numeric) = 1.5462402753868687 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.436029111772268400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31000000000000016 " " y[1] (analytic) = 1.5465303858343664 " " y[1] (numeric) = 1.5465303858343664 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31100000000000017 " " y[1] (analytic) = 1.5468213101600496 " " y[1] (numeric) = 1.5468213101600494 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.43548969403619300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31200000000000017 " " y[1] (analytic) = 1.547113047200221 " " y[1] (numeric) = 1.5471130472002208 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.43521900566258500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31300000000000017 " " y[1] (analytic) = 1.5474055957879331 " " y[1] (numeric) = 1.547405595787933 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.43494766678782100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31400000000000017 " " y[1] (analytic) = 1.547698954752992 " " y[1] (numeric) = 1.5476989547529918 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.434675679292352600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31500000000000017 " " y[1] (analytic) = 1.5479931229219621 " " y[1] (numeric) = 1.547993122921962 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.434403045059426000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31600000000000017 " " y[1] (analytic) = 1.5482880991181711 " " y[1] (numeric) = 1.548288099118171 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.4341297659750600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31700000000000017 " " y[1] (analytic) = 1.5485838821617148 " " y[1] (numeric) = 1.5485838821617146 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.433855843928018600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31800000000000017 " " y[1] (analytic) = 1.5488804708694612 " " y[1] (numeric) = 1.548880470869461 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.433581280809790300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3190000000000002 " " y[1] (analytic) = 1.549177864055056 " " y[1] (numeric) = 1.5491778640550558 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.43330607851455900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3200000000000002 " " y[1] (analytic) = 1.5494760605289268 " " y[1] (numeric) = 1.5494760605289266 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.433030238939183600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3210000000000002 " " y[1] (analytic) = 1.5497750590982884 " " y[1] (numeric) = 1.549775059098288 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.865507527966340600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3220000000000002 " " y[1] (analytic) = 1.5500748585671462 " " y[1] (numeric) = 1.550074858567146 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.432476655548650700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3230000000000002 " " y[1] (analytic) = 1.5503754577363034 " " y[1] (numeric) = 1.5503754577363031 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.432198915540353600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3240000000000002 " " y[1] (analytic) = 1.5506768554033634 " " y[1] (numeric) = 1.5506768554033632 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.43192054586558500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3250000000000002 " " y[1] (analytic) = 1.550979050362736 " " y[1] (numeric) = 1.5509790503627359 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.431641548434200400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3260000000000002 " " y[1] (analytic) = 1.551282041405642 " " y[1] (numeric) = 1.5512820414056416 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.862723850317161500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3270000000000002 " " y[1] (analytic) = 1.5515858273201173 " " y[1] (numeric) = 1.5515858273201169 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.86216335590721900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3280000000000002 " " y[1] (analytic) = 1.5518904068910186 " " y[1] (numeric) = 1.5518904068910182 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.86160161747329300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3290000000000002 " " y[1] (analytic) = 1.5521957789000285 " " y[1] (numeric) = 1.552195778900028 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.86103863885500800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3300000000000002 " " y[1] (analytic) = 1.5525019421256587 " " y[1] (numeric) = 1.5525019421256585 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.430237211948422200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3310000000000002 " " y[1] (analytic) = 1.5528088953432575 " " y[1] (numeric) = 1.552808895343257 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.859908976448090600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3320000000000002 " " y[1] (analytic) = 1.5531166373250116 " " y[1] (numeric) = 1.5531166373250114 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.42967115018139720000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3330000000000002 " " y[1] (analytic) = 1.5534251668399541 " " y[1] (numeric) = 1.553425166839954 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.42938719974985500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3340000000000002 " " y[1] (analytic) = 1.553734482653967 " " y[1] (numeric) = 1.553734482653967 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3350000000000002 " " y[1] (analytic) = 1.5540445835297878 " " y[1] (numeric) = 1.5540445835297876 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.428817469449229500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3360000000000002 " " y[1] (analytic) = 1.554355468227013 " " y[1] (numeric) = 1.5543554682270129 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.42853169345045700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3370000000000002 " " y[1] (analytic) = 1.5546671355021044 " " y[1] (numeric) = 1.5546671355021044 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3380000000000002 " " y[1] (analytic) = 1.5549795841083935 " " y[1] (numeric) = 1.5549795841083935 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3390000000000002 " " y[1] (analytic) = 1.555292812796086 " " y[1] (numeric) = 1.555292812796086 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3400000000000002 " " y[1] (analytic) = 1.555606820312268 " " y[1] (numeric) = 1.555606820312268 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3410000000000002 " " y[1] (analytic) = 1.5559216054009095 " " y[1] (numeric) = 1.5559216054009093 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.427093782580503300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3420000000000002 " " y[1] (analytic) = 1.5562371668028705 " " y[1] (numeric) = 1.5562371668028703 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.42680440784741800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3430000000000002 " " y[1] (analytic) = 1.556553503255906 " " y[1] (numeric) = 1.5565535032559057 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.426514440143378500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3440000000000002 " " y[1] (analytic) = 1.5568706134946704 " " y[1] (numeric) = 1.5568706134946702 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.426223881422060400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3450000000000002 " " y[1] (analytic) = 1.5571884962507234 " " y[1] (numeric) = 1.5571884962507232 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.425932733639202800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3460000000000002 " " y[1] (analytic) = 1.5575071502525344 " " y[1] (numeric) = 1.5575071502525342 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.425640998752583400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3470000000000002 " " y[1] (analytic) = 1.5578265742254875 " " y[1] (numeric) = 1.5578265742254873 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.425348678721996600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3480000000000002 " " y[1] (analytic) = 1.5581467668918878 " " y[1] (numeric) = 1.5581467668918874 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.85011155101845300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3490000000000002 " " y[1] (analytic) = 1.5584677269709644 " " y[1] (numeric) = 1.5584677269709641 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.42476229107802500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3500000000000002 " " y[1] (analytic) = 1.558789453178878 " " y[1] (numeric) = 1.5587894531788777 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.42446822739408620000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3510000000000002 " " y[1] (analytic) = 1.5591119442287238 " " y[1] (numeric) = 1.5591119442287236 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.424173586425023800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3520000000000002 " " y[1] (analytic) = 1.5594351988305382 " " y[1] (numeric) = 1.559435198830538 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.423878370140346200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3530000000000002 " " y[1] (analytic) = 1.5597592156913032 " " y[1] (numeric) = 1.559759215691303 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.423582580511432200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3540000000000002 " " y[1] (analytic) = 1.5600839935149518 " " y[1] (numeric) = 1.5600839935149515 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.423286219511508700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3550000000000002 " " y[1] (analytic) = 1.5604095310023731 " " y[1] (numeric) = 1.560409531002373 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.42298928911562500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3560000000000002 " " y[1] (analytic) = 1.5607358268514175 " " y[1] (numeric) = 1.5607358268514173 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.4226917913006298000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3570000000000002 " " y[1] (analytic) = 1.5610628797569022 " " y[1] (numeric) = 1.561062879756902 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.42239372804514700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3580000000000002 " " y[1] (analytic) = 1.5613906884106161 " " y[1] (numeric) = 1.5613906884106157 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.844190202659102600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3590000000000002 " " y[1] (analytic) = 1.5617192515013247 " " y[1] (numeric) = 1.5617192515013243 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.843591826271893400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3600000000000002 " " y[1] (analytic) = 1.5620485677147764 " " y[1] (numeric) = 1.562048567714776 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.84299233089627900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3610000000000002 " " y[1] (analytic) = 1.5623786357337064 " " y[1] (numeric) = 1.5623786357337062 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.421195860251617300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3620000000000002 " " y[1] (analytic) = 1.5627094542378435 " " y[1] (numeric) = 1.5627094542378432 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.420894999533523200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3630000000000002 " " y[1] (analytic) = 1.563041021903914 " " y[1] (numeric) = 1.5630410219039137 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.42059358528263400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3640000000000002 " " y[1] (analytic) = 1.5633733374056473 " " y[1] (numeric) = 1.563373337405647 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.420291619489334700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3650000000000002 " " y[1] (analytic) = 1.5637063994137825 " " y[1] (numeric) = 1.563706399413782 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.839978208291193000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3660000000000002 " " y[1] (analytic) = 1.5640402065960715 " " y[1] (numeric) = 1.564040206596071 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.839372082489903000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3670000000000002 " " y[1] (analytic) = 1.5643747576172862 " " y[1] (numeric) = 1.5643747576172857 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.838764865564943300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3680000000000002 " " y[1] (analytic) = 1.564710051139223 " " y[1] (numeric) = 1.5647100511392225 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.838156561509484500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3690000000000002 " " y[1] (analytic) = 1.565046085820708 " " y[1] (numeric) = 1.5650460858207076 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.837547174319680600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3700000000000002 " " y[1] (analytic) = 1.565382860317603 " " y[1] (numeric) = 1.5653828603176028 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.418468353997311000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3710000000000002 " " y[1] (analytic) = 1.5657203732828109 " " y[1] (numeric) = 1.5657203732828104 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.836325166536287000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3720000000000002 " " y[1] (analytic) = 1.5660586233662799 " " y[1] (numeric) = 1.5660586233662794 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.835712553949496500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3730000000000002 " " y[1] (analytic) = 1.56639760921501 " " y[1] (numeric) = 1.5663976092150096 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.835098874241866500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3740000000000002 " " y[1] (analytic) = 1.5667373294730584 " " y[1] (numeric) = 1.5667373294730582 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.41724206571188100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3750000000000002 " " y[1] (analytic) = 1.5670777827815447 " " y[1] (numeric) = 1.5670777827815445 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.416934164754124200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3760000000000002 " " y[1] (analytic) = 1.567418967778656 " " y[1] (numeric) = 1.5674189677786559 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.416625736255524600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3770000000000002 " " y[1] (analytic) = 1.5677608830996528 " " y[1] (numeric) = 1.5677608830996526 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.416316782225248000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3780000000000002 " " y[1] (analytic) = 1.5681035273768742 " " y[1] (numeric) = 1.568103527376874 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.416007304673740600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3790000000000002 " " y[1] (analytic) = 1.5684468992397436 " " y[1] (numeric) = 1.5684468992397433 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.415697305612709000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3800000000000002 " " y[1] (analytic) = 1.5687909973147738 " " y[1] (numeric) = 1.5687909973147736 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.415386787055093200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3810000000000002 " " y[1] (analytic) = 1.5691358202255732 " " y[1] (numeric) = 1.569135820225573 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.415075751015045800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38200000000000023 " " y[1] (analytic) = 1.5694813665928506 " " y[1] (numeric) = 1.5694813665928504 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.414764199507908800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38300000000000023 " " y[1] (analytic) = 1.5698276350344207 " " y[1] (numeric) = 1.5698276350344207 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38400000000000023 " " y[1] (analytic) = 1.5701746241652108 " " y[1] (numeric) = 1.5701746241652106 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.4141395581595400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38500000000000023 " " y[1] (analytic) = 1.5705223325972644 " " y[1] (numeric) = 1.5705223325972641 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.413826472354730600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38600000000000023 " " y[1] (analytic) = 1.5708707589397481 " " y[1] (numeric) = 1.570870758939748 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.413512879155630000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38700000000000023 " " y[1] (analytic) = 1.5712199017989572 " " y[1] (numeric) = 1.5712199017989572 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38800000000000023 " " y[1] (analytic) = 1.571569759778321 " " y[1] (numeric) = 1.571569759778321 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38900000000000023 " " y[1] (analytic) = 1.5719203314784076 " " y[1] (numeric) = 1.5719203314784076 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39000000000000024 " " y[1] (analytic) = 1.5722716154969307 " " y[1] (numeric) = 1.572271615496931 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.412253472850822000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39100000000000024 " " y[1] (analytic) = 1.572623610428755 " " y[1] (numeric) = 1.5726236104287552 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.411937373015109400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39200000000000024 " " y[1] (analytic) = 1.572976314865901 " " y[1] (numeric) = 1.5729763148659013 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.411620777926087300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39300000000000024 " " y[1] (analytic) = 1.5733297273975517 " " y[1] (numeric) = 1.573329727397552 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.411303689610669300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39400000000000024 " " y[1] (analytic) = 1.5736838466100571 " " y[1] (numeric) = 1.5736838466100573 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.410986110096685300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39500000000000024 " " y[1] (analytic) = 1.574038671086941 " " y[1] (numeric) = 1.5740386710869412 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.410668041412858000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39600000000000024 " " y[1] (analytic) = 1.5743941994089061 " " y[1] (numeric) = 1.5743941994089061 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39700000000000024 " " y[1] (analytic) = 1.574750430153839 " " y[1] (numeric) = 1.5747504301538393 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.410030444654900300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39800000000000024 " " y[1] (analytic) = 1.575107361896818 " " y[1] (numeric) = 1.575107361896818 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39900000000000024 " " y[1] (analytic) = 1.5754649932101161 " " y[1] (numeric) = 1.5754649932101161 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40000000000000024 " " y[1] (analytic) = 1.5758233226632088 " " y[1] (numeric) = 1.5758233226632088 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40100000000000025 " " y[1] (analytic) = 1.5761823488227784 " " y[1] (numeric) = 1.5761823488227784 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40200000000000025 " " y[1] (analytic) = 1.5765420702527209 " " y[1] (numeric) = 1.576542070252721 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.40842803446049100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40300000000000025 " " y[1] (analytic) = 1.5769024855141514 " " y[1] (numeric) = 1.5769024855141514 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40400000000000025 " " y[1] (analytic) = 1.5772635931654089 " " y[1] (numeric) = 1.5772635931654089 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40500000000000025 " " y[1] (analytic) = 1.5776253917620635 " " y[1] (numeric) = 1.5776253917620633 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.40746089714636100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40600000000000025 " " y[1] (analytic) = 1.577987879856921 " " y[1] (numeric) = 1.577987879856921 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40700000000000025 " " y[1] (analytic) = 1.5783510560000298 " " y[1] (numeric) = 1.5783510560000298 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40800000000000025 " " y[1] (analytic) = 1.5787149187386857 " " y[1] (numeric) = 1.5787149187386857 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40900000000000025 " " y[1] (analytic) = 1.5790794666174384 " " y[1] (numeric) = 1.5790794666174384 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41000000000000025 " " y[1] (analytic) = 1.5794446981780967 " " y[1] (numeric) = 1.5794446981780967 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41100000000000025 " " y[1] (analytic) = 1.579810611959735 " " y[1] (numeric) = 1.5798106119597348 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.405514073928062800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41200000000000025 " " y[1] (analytic) = 1.5801772064986983 " " y[1] (numeric) = 1.5801772064986983 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41300000000000026 " " y[1] (analytic) = 1.5805444803286093 " " y[1] (numeric) = 1.5805444803286093 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41400000000000026 " " y[1] (analytic) = 1.580912431980373 " " y[1] (numeric) = 1.580912431980373 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41500000000000026 " " y[1] (analytic) = 1.5812810599821834 " " y[1] (numeric) = 1.5812810599821832 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.404207073267121400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41600000000000026 " " y[1] (analytic) = 1.5816503628595289 " " y[1] (numeric) = 1.5816503628595286 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.403879201997513500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41700000000000026 " " y[1] (analytic) = 1.5820203391351984 " " y[1] (numeric) = 1.5820203391351981 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.403550886371098300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41800000000000026 " " y[1] (analytic) = 1.5823909873292874 " " y[1] (numeric) = 1.5823909873292872 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.403222128431049800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41900000000000026 " " y[1] (analytic) = 1.5827623059592035 " " y[1] (numeric) = 1.5827623059592035 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42000000000000026 " " y[1] (analytic) = 1.583134293539673 " " y[1] (numeric) = 1.583134293539673 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42100000000000026 " " y[1] (analytic) = 1.583506948582746 " " y[1] (numeric) = 1.5835069485827458 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.402233221166243600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42200000000000026 " " y[1] (analytic) = 1.5838802695978023 " " y[1] (numeric) = 1.5838802695978023 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42300000000000026 " " y[1] (analytic) = 1.584254255091559 " " y[1] (numeric) = 1.5842542550915588 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.401571775561989400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42400000000000027 " " y[1] (analytic) = 1.584628903568074 " " y[1] (numeric) = 1.584628903568074 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42500000000000027 " " y[1] (analytic) = 1.5850042135287545 " " y[1] (numeric) = 1.5850042135287545 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42600000000000027 " " y[1] (analytic) = 1.5853801834723609 " " y[1] (numeric) = 1.5853801834723609 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42700000000000027 " " y[1] (analytic) = 1.5857568118950138 " " y[1] (numeric) = 1.5857568118950138 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42800000000000027 " " y[1] (analytic) = 1.5861340972902003 " " y[1] (numeric) = 1.5861340972902003 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42900000000000027 " " y[1] (analytic) = 1.586512038148779 " " y[1] (numeric) = 1.586512038148779 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.43000000000000027 " " y[1] (analytic) = 1.5868906329589871 " " y[1] (numeric) = 1.5868906329589871 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.43100000000000027 " " y[1] (analytic) = 1.587269880206446 " " y[1] (numeric) = 1.587269880206446 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4320000000000003 " " y[1] (analytic) = 1.587649778374167 " " y[1] (numeric) = 1.587649778374167 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4330000000000003 " " y[1] (analytic) = 1.588030325942558 " " y[1] (numeric) = 1.588030325942558 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4340000000000003 " " y[1] (analytic) = 1.5884115213894294 " " y[1] (numeric) = 1.5884115213894294 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4350000000000003 " " y[1] (analytic) = 1.5887933631899998 " " y[1] (numeric) = 1.5887933631899998 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4360000000000003 " " y[1] (analytic) = 1.5891758498169024 " " y[1] (numeric) = 1.5891758498169024 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4370000000000003 " " y[1] (analytic) = 1.5895589797401914 " " y[1] (numeric) = 1.5895589797401914 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4380000000000003 " " y[1] (analytic) = 1.5899427514273474 " " y[1] (numeric) = 1.5899427514273474 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4390000000000003 " " y[1] (analytic) = 1.5903271633432843 " " y[1] (numeric) = 1.5903271633432843 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4400000000000003 " " y[1] (analytic) = 1.5907122139503551 " " y[1] (numeric) = 1.590712213950355 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.395881687320476800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4410000000000003 " " y[1] (analytic) = 1.5910979017083575 " " y[1] (numeric) = 1.5910979017083573 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.395543320663188700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4420000000000003 " " y[1] (analytic) = 1.5914842250745413 " " y[1] (numeric) = 1.5914842250745411 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.395204560790612200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4430000000000003 " " y[1] (analytic) = 1.5918711825036134 " " y[1] (numeric) = 1.5918711825036131 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.394865409748865000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4440000000000003 " " y[1] (analytic) = 1.5922587724477448 " " y[1] (numeric) = 1.5922587724477444 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.78905173916783600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4450000000000003 " " y[1] (analytic) = 1.592646993356576 " " y[1] (numeric) = 1.5926469933565754 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.78837188468314900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4460000000000003 " " y[1] (analytic) = 1.5930358436772238 " " y[1] (numeric) = 1.5930358436772234 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.787691260134902000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4470000000000003 " " y[1] (analytic) = 1.5934253218542878 " " y[1] (numeric) = 1.5934253218542873 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.787009869613913400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4480000000000003 " " y[1] (analytic) = 1.5938154263298556 " " y[1] (numeric) = 1.5938154263298552 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.7863277172105500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4490000000000003 " " y[1] (analytic) = 1.5942061555435096 " " y[1] (numeric) = 1.5942061555435094 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.392822403507343600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4500000000000003 " " y[1] (analytic) = 1.594597507932334 " " y[1] (numeric) = 1.5945975079323338 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.392480571557833400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4510000000000003 " " y[1] (analytic) = 1.5949894819309194 " " y[1] (numeric) = 1.5949894819309192 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.39213836480113100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4520000000000003 " " y[1] (analytic) = 1.5953820759713704 " " y[1] (numeric) = 1.5953820759713702 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.391795785281318100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4530000000000003 " " y[1] (analytic) = 1.5957752884833112 " " y[1] (numeric) = 1.5957752884833112 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4540000000000003 " " y[1] (analytic) = 1.5961691178938926 " " y[1] (numeric) = 1.5961691178938926 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4550000000000003 " " y[1] (analytic) = 1.5965635626277972 " " y[1] (numeric) = 1.5965635626277972 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4560000000000003 " " y[1] (analytic) = 1.5969586211072468 " " y[1] (numeric) = 1.5969586211072468 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4570000000000003 " " y[1] (analytic) = 1.5973542917520078 " " y[1] (numeric) = 1.5973542917520078 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4580000000000003 " " y[1] (analytic) = 1.5977505729793986 " " y[1] (numeric) = 1.5977505729793984 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.389732594562457800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4590000000000003 " " y[1] (analytic) = 1.598147463204294 " " y[1] (numeric) = 1.598147463204294 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4600000000000003 " " y[1] (analytic) = 1.5985449608391344 " " y[1] (numeric) = 1.5985449608391344 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4610000000000003 " " y[1] (analytic) = 1.5989430642939295 " " y[1] (numeric) = 1.5989430642939295 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4620000000000003 " " y[1] (analytic) = 1.599341771976266 " " y[1] (numeric) = 1.599341771976266 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4630000000000003 " " y[1] (analytic) = 1.5997410822913136 " " y[1] (numeric) = 1.5997410822913136 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4640000000000003 " " y[1] (analytic) = 1.6001409936418316 " " y[1] (numeric) = 1.6001409936418318 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.387656499066811400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4650000000000003 " " y[1] (analytic) = 1.6005415044281754 " " y[1] (numeric) = 1.6005415044281757 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.387309259464415000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4660000000000003 " " y[1] (analytic) = 1.6009426130483024 " " y[1] (numeric) = 1.6009426130483024 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4670000000000003 " " y[1] (analytic) = 1.6013443178977782 " " y[1] (numeric) = 1.6013443178977782 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4680000000000003 " " y[1] (analytic) = 1.6017466173697843 " " y[1] (numeric) = 1.6017466173697843 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4690000000000003 " " y[1] (analytic) = 1.6021495098551233 " " y[1] (numeric) = 1.6021495098551233 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4700000000000003 " " y[1] (analytic) = 1.6025529937422256 " " y[1] (numeric) = 1.6025529937422256 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4710000000000003 " " y[1] (analytic) = 1.6029570674171563 " " y[1] (numeric) = 1.6029570674171565 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.385218665168691200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4720000000000003 " " y[1] (analytic) = 1.6033617292636215 " " y[1] (numeric) = 1.6033617292636215 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4730000000000003 " " y[1] (analytic) = 1.603766977662974 " " y[1] (numeric) = 1.603766977662974 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4740000000000003 " " y[1] (analytic) = 1.6041728109942208 " " y[1] (numeric) = 1.6041728109942208 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4750000000000003 " " y[1] (analytic) = 1.6045792276340292 " " y[1] (numeric) = 1.6045792276340294 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.383818268995284700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4760000000000003 " " y[1] (analytic) = 1.6049862259567331 " " y[1] (numeric) = 1.6049862259567333 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.383467355258269600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4770000000000003 " " y[1] (analytic) = 1.60539380433434 " " y[1] (numeric) = 1.60539380433434 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4780000000000003 " " y[1] (analytic) = 1.6058019611365368 " " y[1] (numeric) = 1.6058019611365368 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4790000000000003 " " y[1] (analytic) = 1.6062106947306967 " " y[1] (numeric) = 1.6062106947306967 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4800000000000003 " " y[1] (analytic) = 1.606620003481886 " " y[1] (numeric) = 1.6066200034818858 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.38206050244496900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4810000000000003 " " y[1] (analytic) = 1.60702988575287 " " y[1] (numeric) = 1.60702988575287 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4820000000000003 " " y[1] (analytic) = 1.6074403399041206 " " y[1] (numeric) = 1.6074403399041204 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.38135518571268180000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4830000000000003 " " y[1] (analytic) = 1.6078513642938215 " " y[1] (numeric) = 1.6078513642938213 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.381002061857594000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4840000000000003 " " y[1] (analytic) = 1.6082629572778755 " " y[1] (numeric) = 1.6082629572778753 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.380648630376098700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4850000000000003 " " y[1] (analytic) = 1.6086751172099114 " " y[1] (numeric) = 1.6086751172099112 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.380294893291728300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4860000000000003 " " y[1] (analytic) = 1.6090878424412902 " " y[1] (numeric) = 1.60908784244129 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.379940852627086500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4870000000000003 " " y[1] (analytic) = 1.6095011313211114 " " y[1] (numeric) = 1.6095011313211112 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.379586510403832700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4880000000000003 " " y[1] (analytic) = 1.6099149821962198 " " y[1] (numeric) = 1.6099149821962195 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.379231868642663800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4890000000000003 " " y[1] (analytic) = 1.6103293934112126 " " y[1] (numeric) = 1.6103293934112124 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.378876929363297000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4900000000000003 " " y[1] (analytic) = 1.610744363308446 " " y[1] (numeric) = 1.6107443633084455 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.757043389168904000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4910000000000003 " " y[1] (analytic) = 1.61115989022804 " " y[1] (numeric) = 1.6111598902280397 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.378166166323838000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4920000000000003 " " y[1] (analytic) = 1.611575972507888 " " y[1] (numeric) = 1.6115759725078878 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.377810346598131000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4930000000000003 " " y[1] (analytic) = 1.6119926084836615 " " y[1] (numeric) = 1.6119926084836613 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.377454237422961700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4940000000000003 " " y[1] (analytic) = 1.612409796488817 " " y[1] (numeric) = 1.6124097964888169 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.377097840812897300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.49500000000000033 " " y[1] (analytic) = 1.612827534854603 " " y[1] (numeric) = 1.612827534854603 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.49600000000000033 " " y[1] (analytic) = 1.6132458219100672 " " y[1] (numeric) = 1.613245821910067 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.376384193340930000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.49700000000000033 " " y[1] (analytic) = 1.6136646559820609 " " y[1] (numeric) = 1.6136646559820609 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.49800000000000033 " " y[1] (analytic) = 1.614084035395249 " " y[1] (numeric) = 1.614084035395249 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.49900000000000033 " " y[1] (analytic) = 1.6145039584721144 " " y[1] (numeric) = 1.6145039584721144 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5000000000000003 " " y[1] (analytic) = 1.6149244235329652 " " y[1] (numeric) = 1.6149244235329652 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5010000000000003 " " y[1] (analytic) = 1.6153454288959417 " " y[1] (numeric) = 1.6153454288959417 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5020000000000003 " " y[1] (analytic) = 1.6157669728770232 " " y[1] (numeric) = 1.6157669728770232 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5030000000000003 " " y[1] (analytic) = 1.616189053790034 " " y[1] (numeric) = 1.616189053790034 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5040000000000003 " " y[1] (analytic) = 1.6166116699466515 " " y[1] (numeric) = 1.6166116699466515 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5050000000000003 " " y[1] (analytic) = 1.6170348196564113 " " y[1] (numeric) = 1.6170348196564113 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5060000000000003 " " y[1] (analytic) = 1.617458501226715 " " y[1] (numeric) = 1.617458501226715 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5070000000000003 " " y[1] (analytic) = 1.6178827129628373 " " y[1] (numeric) = 1.6178827129628373 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5080000000000003 " " y[1] (analytic) = 1.6183074531679316 " " y[1] (numeric) = 1.6183074531679313 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.372079233092364500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5090000000000003 " " y[1] (analytic) = 1.6187327201430375 " " y[1] (numeric) = 1.6187327201430373 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.371718765933208400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5100000000000003 " " y[1] (analytic) = 1.6191585121870877 " " y[1] (numeric) = 1.6191585121870875 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.371358043414188700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5110000000000003 " " y[1] (analytic) = 1.619584827596915 " " y[1] (numeric) = 1.6195848275969147 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.370997067529297300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5120000000000003 " " y[1] (analytic) = 1.6200116646672578 " " y[1] (numeric) = 1.6200116646672575 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.370635840271175700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5130000000000003 " " y[1] (analytic) = 1.6204390216907687 " " y[1] (numeric) = 1.6204390216907685 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.370274363631095700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5140000000000003 " " y[1] (analytic) = 1.62086689695802 " " y[1] (numeric) = 1.6208668969580198 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.369912639598945300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5150000000000003 " " y[1] (analytic) = 1.6212952887575112 " " y[1] (numeric) = 1.6212952887575112 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5160000000000003 " " y[1] (analytic) = 1.621724195375676 " " y[1] (numeric) = 1.6217241953756758 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.369188457310980500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5170000000000003 " " y[1] (analytic) = 1.6221536150968883 " " y[1] (numeric) = 1.622153615096888 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.368826003027888400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5180000000000003 " " y[1] (analytic) = 1.6225835462034697 " " y[1] (numeric) = 1.6225835462034695 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.36846330929814100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5190000000000003 " " y[1] (analytic) = 1.623013986975696 " " y[1] (numeric) = 1.623013986975696 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5200000000000004 " " y[1] (analytic) = 1.6234449356918055 " " y[1] (numeric) = 1.6234449356918055 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5210000000000004 " " y[1] (analytic) = 1.6238763906280034 " " y[1] (numeric) = 1.6238763906280034 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5220000000000004 " " y[1] (analytic) = 1.6243083500584707 " " y[1] (numeric) = 1.6243083500584705 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.36701017954527100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5230000000000004 " " y[1] (analytic) = 1.6247408122553701 " " y[1] (numeric) = 1.62474081225537 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.366646318293697500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5240000000000004 " " y[1] (analytic) = 1.6251737754888533 " " y[1] (numeric) = 1.6251737754888533 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5250000000000004 " " y[1] (analytic) = 1.6256072380270683 " " y[1] (numeric) = 1.6256072380270683 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5260000000000004 " " y[1] (analytic) = 1.6260411981361655 " " y[1] (numeric) = 1.6260411981361653 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.36555337699652300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5270000000000004 " " y[1] (analytic) = 1.6264756540803047 " " y[1] (numeric) = 1.6264756540803045 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.365188617290352700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5280000000000004 " " y[1] (analytic) = 1.6269106041216628 " " y[1] (numeric) = 1.6269106041216626 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.364823637896864200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5290000000000004 " " y[1] (analytic) = 1.6273460465204403 " " y[1] (numeric) = 1.6273460465204401 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.364458440783401800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5300000000000004 " " y[1] (analytic) = 1.6277819795348683 " " y[1] (numeric) = 1.627781979534868 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.364093027915689300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5310000000000004 " " y[1] (analytic) = 1.628218401421215 " " y[1] (numeric) = 1.6282184014212149 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.363727401257818500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5320000000000004 " " y[1] (analytic) = 1.628655310433794 " " y[1] (numeric) = 1.6286553104337937 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.363361562772232600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5330000000000004 " " y[1] (analytic) = 1.629092704824969 " " y[1] (numeric) = 1.629092704824969 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5340000000000004 " " y[1] (analytic) = 1.629530582845164 " " y[1] (numeric) = 1.6295305828451638 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.362629258159370700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5350000000000004 " " y[1] (analytic) = 1.6299689427428665 " " y[1] (numeric) = 1.6299689427428665 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5360000000000004 " " y[1] (analytic) = 1.6304077827646384 " " y[1] (numeric) = 1.6304077827646382 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.361896129743175600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5370000000000004 " " y[1] (analytic) = 1.6308471011551195 " " y[1] (numeric) = 1.6308471011551193 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.361529261497036700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5380000000000004 " " y[1] (analytic) = 1.6312868961570373 " " y[1] (numeric) = 1.631286896157037 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.361162193162471000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5390000000000004 " " y[1] (analytic) = 1.631727166011212 " " y[1] (numeric) = 1.6317271660112118 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.360794926690002700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5400000000000004 " " y[1] (analytic) = 1.632167908956565 " " y[1] (numeric) = 1.6321679089565648 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.360427464028398000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5410000000000004 " " y[1] (analytic) = 1.6326091232301252 " " y[1] (numeric) = 1.632609123230125 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.360059807124653000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5420000000000004 " " y[1] (analytic) = 1.633050807067036 " " y[1] (numeric) = 1.6330508070670358 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.359691957923979400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5430000000000004 " " y[1] (analytic) = 1.6334929587005624 " " y[1] (numeric) = 1.6334929587005622 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.359323918369792000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5440000000000004 " " y[1] (analytic) = 1.6339355763620989 " " y[1] (numeric) = 1.6339355763620986 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.358955690403693400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5450000000000004 " " y[1] (analytic) = 1.6343786582811748 " " y[1] (numeric) = 1.6343786582811748 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5460000000000004 " " y[1] (analytic) = 1.6348222026854637 " " y[1] (numeric) = 1.6348222026854637 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5470000000000004 " " y[1] (analytic) = 1.6352662078007882 " " y[1] (numeric) = 1.6352662078007882 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5480000000000004 " " y[1] (analytic) = 1.6357106718511287 " " y[1] (numeric) = 1.6357106718511285 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.357480933188166500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5490000000000004 " " y[1] (analytic) = 1.6361555930586293 " " y[1] (numeric) = 1.6361555930586291 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.357111792222285600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5500000000000004 " " y[1] (analytic) = 1.636600969643606 " " y[1] (numeric) = 1.6366009696436057 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.356742474455363600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5510000000000004 " " y[1] (analytic) = 1.6370467998245526 " " y[1] (numeric) = 1.6370467998245524 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.356372981815966000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5520000000000004 " " y[1] (analytic) = 1.6374930818181495 " " y[1] (numeric) = 1.6374930818181492 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.356003316230744700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5530000000000004 " " y[1] (analytic) = 1.6379398138392691 " " y[1] (numeric) = 1.637939813839269 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.355633479624426300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5540000000000004 " " y[1] (analytic) = 1.6383869941009839 " " y[1] (numeric) = 1.6383869941009837 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.355263473919797000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5550000000000004 " " y[1] (analytic) = 1.6388346208145734 " " y[1] (numeric) = 1.6388346208145732 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.354893301037693000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5560000000000004 " " y[1] (analytic) = 1.6392826921895316 " " y[1] (numeric) = 1.6392826921895314 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.354522962896986500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5570000000000004 " " y[1] (analytic) = 1.6397312064335734 " " y[1] (numeric) = 1.6397312064335732 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.354152461414574500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5580000000000004 " " y[1] (analytic) = 1.6401801617526424 " " y[1] (numeric) = 1.6401801617526421 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.353781798505365200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5590000000000004 " " y[1] (analytic) = 1.640629556350918 " " y[1] (numeric) = 1.6406295563509177 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.353410976082267400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5600000000000004 " " y[1] (analytic) = 1.6410793884308221 " " y[1] (numeric) = 1.641079388430822 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.35303999605617700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5610000000000004 " " y[1] (analytic) = 1.6415296561930275 " " y[1] (numeric) = 1.6415296561930273 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.352668860335966300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5620000000000004 " " y[1] (analytic) = 1.6419803578364633 " " y[1] (numeric) = 1.6419803578364631 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.352297570828471200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5630000000000004 " " y[1] (analytic) = 1.642431491558324 " " y[1] (numeric) = 1.6424314915583238 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.351926129438479000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5640000000000004 " " y[1] (analytic) = 1.642883055554075 " " y[1] (numeric) = 1.6428830555540748 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.351554538068718800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5650000000000004 " " y[1] (analytic) = 1.6433350480174609 " " y[1] (numeric) = 1.6433350480174607 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.351182798619846900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5660000000000004 " " y[1] (analytic) = 1.6437874671405126 " " y[1] (numeric) = 1.6437874671405122 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.70162182598087300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5670000000000004 " " y[1] (analytic) = 1.644240311113554 " " y[1] (numeric) = 1.6442403111135535 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.700877766153934600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5680000000000004 " " y[1] (analytic) = 1.6446935781252097 " " y[1] (numeric) = 1.6446935781252094 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.350066710773811800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5690000000000004 " " y[1] (analytic) = 1.645147266362413 " " y[1] (numeric) = 1.6451472663624125 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.69938879594644900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5700000000000004 " " y[1] (analytic) = 1.6456013740104107 " " y[1] (numeric) = 1.6456013740104103 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.69864389313066500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5710000000000004 " " y[1] (analytic) = 1.6460558992527732 " " y[1] (numeric) = 1.6460558992527727 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.697898716876242500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5720000000000004 " " y[1] (analytic) = 1.6465108402714002 " " y[1] (numeric) = 1.6465108402713997 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.697153270954850700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5730000000000004 " " y[1] (analytic) = 1.646966195246528 " " y[1] (numeric) = 1.6469661952465275 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.69640755913383300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5740000000000004 " " y[1] (analytic) = 1.6474219623567374 " " y[1] (numeric) = 1.647421962356737 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.695661585176186000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5750000000000004 " " y[1] (analytic) = 1.6478781397789608 " " y[1] (numeric) = 1.6478781397789604 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.694915352840537300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5760000000000004 " " y[1] (analytic) = 1.648334725688489 " " y[1] (numeric) = 1.6483347256884884 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.04125329882168200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5770000000000004 " " y[1] (analytic) = 1.6487917182589786 " " y[1] (numeric) = 1.6487917182589782 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.693422128047763000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5780000000000004 " " y[1] (analytic) = 1.6492491156624602 " " y[1] (numeric) = 1.64924911566246 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.346337571542925000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5790000000000004 " " y[1] (analytic) = 1.6497069160693452 " " y[1] (numeric) = 1.6497069160693447 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.69192791473631300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5800000000000004 " " y[1] (analytic) = 1.6501651176484318 " " y[1] (numeric) = 1.6501651176484315 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.345590223367804600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5810000000000004 " " y[1] (analytic) = 1.6506237185669148 " " y[1] (numeric) = 1.6506237185669146 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.345216371407847400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5820000000000004 " " y[1] (analytic) = 1.6510827169903912 " " y[1] (numeric) = 1.6510827169903908 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.689684806704006300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5830000000000004 " " y[1] (analytic) = 1.6515421110828676 " " y[1] (numeric) = 1.6515421110828672 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.688936642123442000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5840000000000004 " " y[1] (analytic) = 1.6520018990067684 " " y[1] (numeric) = 1.652001899006768 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.688188252792336000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5850000000000004 " " y[1] (analytic) = 1.6524620789229427 " " y[1] (numeric) = 1.652462078922942 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.031159463636665400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5860000000000004 " " y[1] (analytic) = 1.652922648990671 " " y[1] (numeric) = 1.6529226489906705 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.686690814728917600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5870000000000004 " " y[1] (analytic) = 1.653383607367674 " " y[1] (numeric) = 1.6533836073676735 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.68594177341028600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5880000000000004 " " y[1] (analytic) = 1.6538449522101186 " " y[1] (numeric) = 1.6538449522101182 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.685192522168437000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5890000000000004 " " y[1] (analytic) = 1.6543066816726264 " " y[1] (numeric) = 1.6543066816726257 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.026664597047890400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5900000000000004 " " y[1] (analytic) = 1.6547687939082798 " " y[1] (numeric) = 1.6547687939082791 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.02554010703694900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5910000000000004 " " y[1] (analytic) = 1.6552312870686305 " " y[1] (numeric) = 1.6552312870686299 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.02441531874858870000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5920000000000004 " " y[1] (analytic) = 1.6556941593037067 " " y[1] (numeric) = 1.655694159303706 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.02329023770448600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5930000000000004 " " y[1] (analytic) = 1.65615740876202 " " y[1] (numeric) = 1.6561574087620192 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.022164869419205000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5940000000000004 " " y[1] (analytic) = 1.656621033590573 " " y[1] (numeric) = 1.6566210335905722 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.021039219400170000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5950000000000004 " " y[1] (analytic) = 1.657085031934867 " " y[1] (numeric) = 1.6570850319348664 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.679942195431754000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5960000000000004 " " y[1] (analytic) = 1.6575494019389094 " " y[1] (numeric) = 1.657549401938909 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.679191397436430000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5970000000000004 " " y[1] (analytic) = 1.658014141745221 " " y[1] (numeric) = 1.6580141417452205 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.678440422604692600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5980000000000004 " " y[1] (analytic) = 1.6584792494948428 " " y[1] (numeric) = 1.6584792494948424 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.677689274588922500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5990000000000004 " " y[1] (analytic) = 1.6589447233273447 " " y[1] (numeric) = 1.6589447233273442 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.676937957036646400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6000000000000004 " " y[1] (analytic) = 1.6594105613808319 " " y[1] (numeric) = 1.6594105613808314 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.676186473590515500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6010000000000004 " " y[1] (analytic) = 1.6598767617919525 " " y[1] (numeric) = 1.6598767617919523 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.337717413944145600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6020000000000004 " " y[1] (analytic) = 1.6603433226959061 " " y[1] (numeric) = 1.660343322695906 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.337341511781410300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6030000000000004 " " y[1] (analytic) = 1.6608102422264492 " " y[1] (numeric) = 1.660810242226449 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.33696553212101300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6040000000000004 " " y[1] (analytic) = 1.6612775185159045 " " y[1] (numeric) = 1.6612775185159043 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.3365894767744402000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6050000000000004 " " y[1] (analytic) = 1.6617451496951676 " " y[1] (numeric) = 1.6617451496951674 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.336213347550696500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6060000000000004 " " y[1] (analytic) = 1.6622131338937143 " " y[1] (numeric) = 1.6622131338937138 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.671674292512591400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6070000000000004 " " y[1] (analytic) = 1.6626814692396081 " " y[1] (numeric) = 1.6626814692396077 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.67092174939050300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6080000000000004 " " y[1] (analytic) = 1.6631501538595086 " " y[1] (numeric) = 1.6631501538595082 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.670169069338138600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6090000000000004 " " y[1] (analytic) = 1.663619185878678 " " y[1] (numeric) = 1.6636191858786775 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.669416255953473400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6100000000000004 " " y[1] (analytic) = 1.6640885634209885 " " y[1] (numeric) = 1.664088563420988 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.668663312829432400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6110000000000004 " " y[1] (analytic) = 1.6645582846089308 " " y[1] (numeric) = 1.6645582846089304 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.667910243553871000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6120000000000004 " " y[1] (analytic) = 1.665028347563621 " " y[1] (numeric) = 1.6650283475636205 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.66715705170955900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6130000000000004 " " y[1] (analytic) = 1.665498750404807 " " y[1] (numeric) = 1.6654987504048069 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.333201870437083000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6140000000000004 " " y[1] (analytic) = 1.6659694912508793 " " y[1] (numeric) = 1.6659694912508791 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.332825157310119600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6150000000000004 " " y[1] (analytic) = 1.6664405682188745 " " y[1] (numeric) = 1.6664405682188743 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.332448388257597000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6160000000000004 " " y[1] (analytic) = 1.6669119794244853 " " y[1] (numeric) = 1.666911979424485 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.332071565060645700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6170000000000004 " " y[1] (analytic) = 1.6673837229820676 " " y[1] (numeric) = 1.6673837229820674 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.331694689497813500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6180000000000004 " " y[1] (analytic) = 1.667855797004648 " " y[1] (numeric) = 1.6678557970046477 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.331317763345055700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6190000000000004 " " y[1] (analytic) = 1.6683281996039308 " " y[1] (numeric) = 1.6683281996039305 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.330940788375727000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6200000000000004 " " y[1] (analytic) = 1.668800928890306 " " y[1] (numeric) = 1.6688009288903058 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.330563766360576000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6210000000000004 " " y[1] (analytic) = 1.6692739829728578 " " y[1] (numeric) = 1.6692739829728573 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.660373398135466000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6220000000000004 " " y[1] (analytic) = 1.6697473599593697 " " y[1] (numeric) = 1.6697473599593693 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.65961917652541600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6230000000000004 " " y[1] (analytic) = 1.670221057956335 " " y[1] (numeric) = 1.6702210579563346 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.658864871416754500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6240000000000004 " " y[1] (analytic) = 1.670695075068962 " " y[1] (numeric) = 1.6706950750689615 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.658110486329959000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6250000000000004 " " y[1] (analytic) = 1.671169409401183 " " y[1] (numeric) = 1.6711694094011826 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.65735602478021400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6260000000000004 " " y[1] (analytic) = 1.6716440590556614 " " y[1] (numeric) = 1.671644059055661 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.656601490277396600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6270000000000004 " " y[1] (analytic) = 1.672119022133799 " " y[1] (numeric) = 1.6721190221337985 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.6558468863260600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6280000000000004 " " y[1] (analytic) = 1.6725942967357441 " " y[1] (numeric) = 1.6725942967357437 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.655092216425421500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6290000000000004 " " y[1] (analytic) = 1.6730698809603992 " " y[1] (numeric) = 1.6730698809603988 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.65433748406934600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6300000000000004 " " y[1] (analytic) = 1.673545772905428 " " y[1] (numeric) = 1.6735457729054275 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.653582692746331300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6310000000000004 " " y[1] (analytic) = 1.674021970667263 " " y[1] (numeric) = 1.6740219706672625 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.652827845939496600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6320000000000005 " " y[1] (analytic) = 1.674498472341114 " " y[1] (numeric) = 1.6744984723411136 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.652072947126563000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6330000000000005 " " y[1] (analytic) = 1.6749752760209753 " " y[1] (numeric) = 1.6749752760209746 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.97697699966976800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6340000000000005 " " y[1] (analytic) = 1.6754523797996321 " " y[1] (numeric) = 1.6754523797996317 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.65056300736623400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6350000000000005 " " y[1] (analytic) = 1.6759297817686705 " " y[1] (numeric) = 1.67592978176867 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.649807973347182400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6360000000000005 " " y[1] (analytic) = 1.676407480018483 " " y[1] (numeric) = 1.6764074800184825 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.649052901178694500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6370000000000005 " " y[1] (analytic) = 1.6768854726382774 " " y[1] (numeric) = 1.676885472638277 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.648297794311308400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6380000000000005 " " y[1] (analytic) = 1.6773637577160838 " " y[1] (numeric) = 1.6773637577160831 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.97131398428513100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6390000000000005 " " y[1] (analytic) = 1.6778423333387624 " " y[1] (numeric) = 1.6778423333387618 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.97018123538190100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6400000000000005 " " y[1] (analytic) = 1.6783211975920114 " " y[1] (numeric) = 1.6783211975920107 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.969048449908374500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6410000000000005 " " y[1] (analytic) = 1.6788003485603744 " " y[1] (numeric) = 1.6788003485603737 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.96791563300737500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6420000000000005 " " y[1] (analytic) = 1.6792797843272484 " " y[1] (numeric) = 1.6792797843272476 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.28904371975124100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6430000000000005 " " y[1] (analytic) = 1.6797595029748906 " " y[1] (numeric) = 1.67975950297489 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.9656499254527600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6440000000000005 " " y[1] (analytic) = 1.6802395025844274 " " y[1] (numeric) = 1.6802395025844268 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.964517045043240400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6450000000000005 " " y[1] (analytic) = 1.6807197812358607 " " y[1] (numeric) = 1.68071978123586 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.963384153694406400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6460000000000005 " " y[1] (analytic) = 1.681200337008077 " " y[1] (numeric) = 1.6812003370080761 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.283001675343217000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6470000000000005 " " y[1] (analytic) = 1.6816811679788533 " " y[1] (numeric) = 1.6816811679788524 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.281491144766711000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6480000000000005 " " y[1] (analytic) = 1.6821622722248666 " " y[1] (numeric) = 1.6821622722248657 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.279980619975503000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6490000000000005 " " y[1] (analytic) = 1.6826436478217004 " " y[1] (numeric) = 1.6826436478216997 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.95885258080313500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6500000000000005 " " y[1] (analytic) = 1.6831252928438534 " " y[1] (numeric) = 1.6831252928438527 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.95771971110704670000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6510000000000005 " " y[1] (analytic) = 1.6836072053647457 " " y[1] (numeric) = 1.683607205364745 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.95658686095239800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6520000000000005 " " y[1] (analytic) = 1.684089383456728 " " y[1] (numeric) = 1.6840893834567274 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.95545403538974300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6530000000000005 " " y[1] (analytic) = 1.6845718251910888 " " y[1] (numeric) = 1.6845718251910882 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.95432123946113900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6540000000000005 " " y[1] (analytic) = 1.6850545286380614 " " y[1] (numeric) = 1.6850545286380607 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.95318847820013200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6550000000000005 " " y[1] (analytic) = 1.6855374918668329 " " y[1] (numeric) = 1.6855374918668322 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.952055756631739000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6560000000000005 " " y[1] (analytic) = 1.686020712945551 " " y[1] (numeric) = 1.6860207129455502 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.95092307977242700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6570000000000005 " " y[1] (analytic) = 1.6865041899413318 " " y[1] (numeric) = 1.6865041899413311 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.949790452630103600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6580000000000005 " " y[1] (analytic) = 1.6869879209202685 " " y[1] (numeric) = 1.6869879209202676 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.26487717360545900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6590000000000005 " " y[1] (analytic) = 1.6874719039474373 " " y[1] (numeric) = 1.6874719039474364 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.2633671566468400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6600000000000005 " " y[1] (analytic) = 1.687956137086907 " " y[1] (numeric) = 1.687956137086906 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.261857225940440000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6610000000000005 " " y[1] (analytic) = 1.6884406184017458 " " y[1] (numeric) = 1.6884406184017446 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.57543423514697300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6620000000000005 " " y[1] (analytic) = 1.6889253459540285 " " y[1] (numeric) = 1.6889253459540277 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.25883764979805600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6630000000000005 " " y[1] (analytic) = 1.6894103178048463 " " y[1] (numeric) = 1.6894103178048454 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.25732801759012400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6640000000000005 " " y[1] (analytic) = 1.689895532014312 " " y[1] (numeric) = 1.6898955320143112 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.255818498090467000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6650000000000005 " " y[1] (analytic) = 1.6903809866415693 " " y[1] (numeric) = 1.6903809866415687 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.94073182341314330000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6660000000000005 " " y[1] (analytic) = 1.6908666797448009 " " y[1] (numeric) = 1.6908666797448 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.252799823544788000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6670000000000005 " " y[1] (analytic) = 1.6913526093812346 " " y[1] (numeric) = 1.6913526093812337 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.251290681634132000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6680000000000005 " " y[1] (analytic) = 1.6918387736071523 " " y[1] (numeric) = 1.6918387736071516 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.937336259026838500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6690000000000005 " " y[1] (analytic) = 1.6923251704778983 " " y[1] (numeric) = 1.6923251704778974 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.24827282128830600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6700000000000005 " " y[1] (analytic) = 1.6928117980478854 " " y[1] (numeric) = 1.6928117980478845 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.24676411591857800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6710000000000005 " " y[1] (analytic) = 1.6932986543706041 " " y[1] (numeric) = 1.6932986543706032 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.24525556910844800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6720000000000005 " " y[1] (analytic) = 1.6937857374986296 " " y[1] (numeric) = 1.6937857374986287 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.24374718736137600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6730000000000005 " " y[1] (analytic) = 1.6942730454836301 " " y[1] (numeric) = 1.6942730454836292 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.24223897716908200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6740000000000005 " " y[1] (analytic) = 1.6947605763763747 " " y[1] (numeric) = 1.6947605763763736 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.5509136812644200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6750000000000005 " " y[1] (analytic) = 1.6952483282267399 " " y[1] (numeric) = 1.6952483282267388 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.54902887169615900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6760000000000005 " " y[1] (analytic) = 1.6957362990837193 " " y[1] (numeric) = 1.6957362990837181 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.54714430082707200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6770000000000005 " " y[1] (analytic) = 1.6962244869954297 " " y[1] (numeric) = 1.6962244869954288 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.23620798137032400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6780000000000005 " " y[1] (analytic) = 1.6967128900091208 " " y[1] (numeric) = 1.6967128900091197 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.54337590739461200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6790000000000005 " " y[1] (analytic) = 1.6972015061711807 " " y[1] (numeric) = 1.6972015061711796 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.54149210089835200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6800000000000005 " " y[1] (analytic) = 1.6976903335271454 " " y[1] (numeric) = 1.6976903335271445 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.23168685218836700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6810000000000005 " " y[1] (analytic) = 1.6981793701217063 " " y[1] (numeric) = 1.6981793701217054 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.230180246721938000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6820000000000005 " " y[1] (analytic) = 1.6986686139987177 " " y[1] (numeric) = 1.6986686139987168 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.22867387070469300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6830000000000005 " " y[1] (analytic) = 1.6991580632012047 " " y[1] (numeric) = 1.6991580632012038 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.22716773051002600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6840000000000005 " " y[1] (analytic) = 1.6996477157713707 " " y[1] (numeric) = 1.69964771577137 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.91924637437455540000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6850000000000005 " " y[1] (analytic) = 1.700137569750607 " " y[1] (numeric) = 1.7001375697506063 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.918117137266774500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6860000000000005 " " y[1] (analytic) = 1.7006276231794977 " " y[1] (numeric) = 1.7006276231794968 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.222650788416483000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6870000000000005 " " y[1] (analytic) = 1.7011178740978297 " " y[1] (numeric) = 1.7011178740978288 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.22114565500736800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6880000000000005 " " y[1] (analytic) = 1.7016083205446002 " " y[1] (numeric) = 1.7016083205445993 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.21964078910864500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6890000000000005 " " y[1] (analytic) = 1.702098960558024 " " y[1] (numeric) = 1.702098960558023 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.21813619702194500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6900000000000005 " " y[1] (analytic) = 1.7025897921755417 " " y[1] (numeric) = 1.7025897921755406 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.52078985629610500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6910000000000005 " " y[1] (analytic) = 1.7030808134338273 " " y[1] (numeric) = 1.7030808134338264 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.21512785943105200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6920000000000005 " " y[1] (analytic) = 1.703572022368797 " " y[1] (numeric) = 1.703572022368796 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.21362412647000100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6930000000000005 " " y[1] (analytic) = 1.704063417015615 " " y[1] (numeric) = 1.7040634170156141 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.21212069240722700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6940000000000005 " " y[1] (analytic) = 1.7045549954087038 " " y[1] (numeric) = 1.704554995408703 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.210617563484159000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6950000000000005 " " y[1] (analytic) = 1.7050467555817503 " " y[1] (numeric) = 1.7050467555817495 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.20911474593014800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6960000000000005 " " y[1] (analytic) = 1.7055386955677148 " " y[1] (numeric) = 1.7055386955677136 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.50951530745306100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6970000000000005 " " y[1] (analytic) = 1.7060308133988373 " " y[1] (numeric) = 1.7060308133988364 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.20611006978621400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6980000000000005 " " y[1] (analytic) = 1.7065231071066478 " " y[1] (numeric) = 1.706523107106647 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.20460822359447400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6990000000000005 " " y[1] (analytic) = 1.707015574721972 " " y[1] (numeric) = 1.707015574721971 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.2031067135681310000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7000000000000005 " " y[1] (analytic) = 1.70750821427494 " " y[1] (numeric) = 1.707508214274939 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.50200693234492600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7010000000000005 " " y[1] (analytic) = 1.7080010237949943 " " y[1] (numeric) = 1.7080010237949932 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.50013090834313800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7020000000000005 " " y[1] (analytic) = 1.7084940013108971 " " y[1] (numeric) = 1.7084940013108962 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.19860426210827600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7030000000000005 " " y[1] (analytic) = 1.7089871448507397 " " y[1] (numeric) = 1.7089871448507385 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.4963801978868710000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7040000000000005 " " y[1] (analytic) = 1.709480452441948 " " y[1] (numeric) = 1.709480452441947 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.49450552674780200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7050000000000005 " " y[1] (analytic) = 1.7099739221112924 " " y[1] (numeric) = 1.7099739221112915 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.19410505748238400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7060000000000005 " " y[1] (analytic) = 1.710467551884895 " " y[1] (numeric) = 1.7104675518848942 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.192606072657582000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7070000000000005 " " y[1] (analytic) = 1.7109613397882377 " " y[1] (numeric) = 1.7109613397882366 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.48888434125908800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7080000000000005 " " y[1] (analytic) = 1.711455283846169 " " y[1] (numeric) = 1.7114552838461679 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.48701158075332500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7090000000000005 " " y[1] (analytic) = 1.7119493820829135 " " y[1] (numeric) = 1.7119493820829124 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.48513931687838900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7100000000000005 " " y[1] (analytic) = 1.7124436325220787 " " y[1] (numeric) = 1.7124436325220778 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.18661404575413900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7110000000000005 " " y[1] (analytic) = 1.712938033186664 " " y[1] (numeric) = 1.712938033186663 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.18511704739139200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7120000000000005 " " y[1] (analytic) = 1.7134325820990672 " " y[1] (numeric) = 1.7134325820990661 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.4795255805458100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7130000000000005 " " y[1] (analytic) = 1.7139272772810932 " " y[1] (numeric) = 1.713927277281092 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.47765537862476100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7140000000000005 " " y[1] (analytic) = 1.714422116753962 " " y[1] (numeric) = 1.7144221167539608 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.47578571097310100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7150000000000005 " " y[1] (analytic) = 1.714917098538316 " " y[1] (numeric) = 1.714917098538315 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.17913326805797700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7160000000000005 " " y[1] (analytic) = 1.7154122206542295 " " y[1] (numeric) = 1.7154122206542284 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.47204800838912100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7170000000000005 " " y[1] (analytic) = 1.715907481121214 " " y[1] (numeric) = 1.715907481121213 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.47017998837391200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7180000000000005 " " y[1] (analytic) = 1.7164028779582288 " " y[1] (numeric) = 1.7164028779582277 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.46831253246229700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7190000000000005 " " y[1] (analytic) = 1.7168984091836867 " " y[1] (numeric) = 1.7168984091836856 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.46644564807431500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7200000000000005 " " y[1] (analytic) = 1.717394072815464 " " y[1] (numeric) = 1.7173940728154629 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.46457934261457800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7210000000000005 " " y[1] (analytic) = 1.7178898668709062 " " y[1] (numeric) = 1.7178898668709053 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.17017089877781400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7220000000000005 " " y[1] (analytic) = 1.7183857893668384 " " y[1] (numeric) = 1.7183857893668375 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.168678798416891000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7230000000000005 " " y[1] (analytic) = 1.718881838319571 " " y[1] (numeric) = 1.71888183831957 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.167187178895521000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7240000000000005 " " y[1] (analytic) = 1.7193780117449087 " " y[1] (numeric) = 1.7193780117449078 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.1656960460879600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7250000000000005 " " y[1] (analytic) = 1.7198743076581586 " " y[1] (numeric) = 1.7198743076581577 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.16420540585608400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7260000000000005 " " y[1] (analytic) = 1.7203707240741377 " " y[1] (numeric) = 1.7203707240741368 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.1627152640493900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7270000000000005 " " y[1] (analytic) = 1.7208672590071812 " " y[1] (numeric) = 1.72086725900718 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.4515320331312300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7280000000000005 " " y[1] (analytic) = 1.7213639104711496 " " y[1] (numeric) = 1.7213639104711485 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.44967062380946800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7290000000000005 " " y[1] (analytic) = 1.721860676479438 " " y[1] (numeric) = 1.7218606764794369 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.44780985936183800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7300000000000005 " " y[1] (analytic) = 1.722357555044983 " " y[1] (numeric) = 1.722357555044982 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.44594974703821400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7310000000000005 " " y[1] (analytic) = 1.722854544180271 " " y[1] (numeric) = 1.7228545441802698 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.44409029407295300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7320000000000005 " " y[1] (analytic) = 1.7233516418973458 " " y[1] (numeric) = 1.723351641897345 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.15378520614791100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7330000000000005 " " y[1] (analytic) = 1.7238488462078176 " " y[1] (numeric) = 1.7238488462078168 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.15229871606185700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7340000000000005 " " y[1] (analytic) = 1.7243461551228698 " " y[1] (numeric) = 1.724346155122869 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.15081277075041500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7350000000000005 " " y[1] (analytic) = 1.7248435666532673 " " y[1] (numeric) = 1.7248435666532664 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.14932737595135900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7360000000000005 " " y[1] (analytic) = 1.7253410788093646 " " y[1] (numeric) = 1.7253410788093637 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.14784253739003000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7370000000000005 " " y[1] (analytic) = 1.725838689601114 " " y[1] (numeric) = 1.7258386896011129 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.43294782597415200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7380000000000005 " " y[1] (analytic) = 1.7263363970380725 " " y[1] (numeric) = 1.7263363970380714 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.43109318977459800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7390000000000005 " " y[1] (analytic) = 1.7268341991294114 " " y[1] (numeric) = 1.7268341991294103 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.42923927024886900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7400000000000005 " " y[1] (analytic) = 1.727332093883923 " " y[1] (numeric) = 1.7273320938839218 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.42738607449138100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7410000000000005 " " y[1] (analytic) = 1.7278300793100285 " " y[1] (numeric) = 1.7278300793100276 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.140426887664787000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7420000000000005 " " y[1] (analytic) = 1.7283281534157875 " " y[1] (numeric) = 1.7283281534157866 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.13894550606475200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7430000000000005 " " y[1] (analytic) = 1.728826314208904 " " y[1] (numeric) = 1.7288263142089029 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.42183090053893100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7440000000000005 " " y[1] (analytic) = 1.7293245596967353 " " y[1] (numeric) = 1.7293245596967342 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.41998067048704900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7450000000000006 " " y[1] (analytic) = 1.7298228878863 " " y[1] (numeric) = 1.7298228878862991 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.134504959553434000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7460000000000006 " " y[1] (analytic) = 1.7303212967842867 " " y[1] (numeric) = 1.7303212967842856 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.41628249440406900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7470000000000006 " " y[1] (analytic) = 1.7308197843970596 " " y[1] (numeric) = 1.7308197843970587 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.13154764988734500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7480000000000006 " " y[1] (analytic) = 1.7313183487306696 " " y[1] (numeric) = 1.7313183487306687 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.130069928221466000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7490000000000006 " " y[1] (analytic) = 1.7318169877908598 " " y[1] (numeric) = 1.731816987790859 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.12859283608889400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7500000000000006 " " y[1] (analytic) = 1.7323156995830746 " " y[1] (numeric) = 1.7323156995830735 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.4088954738005300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7510000000000006 " " y[1] (analytic) = 1.7328144821124674 " " y[1] (numeric) = 1.7328144821124662 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.40705070326794600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7520000000000006 " " y[1] (analytic) = 1.7333133333839088 " " y[1] (numeric) = 1.7333133333839077 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.40520674042063100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7530000000000006 " " y[1] (analytic) = 1.7338122514019945 " " y[1] (numeric) = 1.7338122514019934 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.40336359215023700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7540000000000006 " " y[1] (analytic) = 1.734311234171053 " " y[1] (numeric) = 1.7343112341710518 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.40152126533279800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7550000000000006 " " y[1] (analytic) = 1.7348102796951537 " " y[1] (numeric) = 1.7348102796951528 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.11974381346298500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7560000000000006 " " y[1] (analytic) = 1.7353093859781157 " " y[1] (numeric) = 1.7353093859781146 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.39783910348282900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7570000000000006 " " y[1] (analytic) = 1.735808551023514 " " y[1] (numeric) = 1.7358085510235128 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.3959992821242700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7580000000000006 " " y[1] (analytic) = 1.7363077728346892 " " y[1] (numeric) = 1.736307772834688 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.3941603095666100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7590000000000006 " " y[1] (analytic) = 1.736807049414755 " " y[1] (numeric) = 1.7368070494147538 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.39232219260777400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7600000000000006 " " y[1] (analytic) = 1.7373063787666054 " " y[1] (numeric) = 1.7373063787666043 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.39048493803007500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7610000000000006 " " y[1] (analytic) = 1.7378057588929239 " " y[1] (numeric) = 1.7378057588929228 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.38864855260019800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7620000000000006 " " y[1] (analytic) = 1.7383051877961906 " " y[1] (numeric) = 1.7383051877961895 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.386813043069199000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7630000000000006 " " y[1] (analytic) = 1.7388046634786904 " " y[1] (numeric) = 1.7388046634786893 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.38497841617252300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7640000000000006 " " y[1] (analytic) = 1.7393041839425214 " " y[1] (numeric) = 1.7393041839425203 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.3831446786299810000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7650000000000006 " " y[1] (analytic) = 1.7398037471896024 " " y[1] (numeric) = 1.7398037471896013 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.38131183714576300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7660000000000006 " " y[1] (analytic) = 1.7403033512216812 " " y[1] (numeric) = 1.74030335122168 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.65537587809013300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7670000000000006 " " y[1] (analytic) = 1.740802994040342 " " y[1] (numeric) = 1.7408029940403407 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.65317864290916600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7680000000000006 " " y[1] (analytic) = 1.7413026736470145 " " y[1] (numeric) = 1.741302673647013 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 8.92614625819094800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7690000000000006 " " y[1] (analytic) = 1.7418023880429807 " " y[1] (numeric) = 1.7418023880429792 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 8.9235853914609810000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7700000000000006 " " y[1] (analytic) = 1.7423021352293837 " " y[1] (numeric) = 1.7423021352293824 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.6465935649834200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7710000000000006 " " y[1] (analytic) = 1.7428019132072357 " " y[1] (numeric) = 1.7428019132072343 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.64440077471827100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7720000000000006 " " y[1] (analytic) = 1.7433017199774252 " " y[1] (numeric) = 1.743301719977424 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.64220911551352200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7730000000000006 " " y[1] (analytic) = 1.7438015535407259 " " y[1] (numeric) = 1.7438015535407245 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.64001859526427600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7740000000000006 " " y[1] (analytic) = 1.7443014118978042 " " y[1] (numeric) = 1.7443014118978029 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.63782922184691300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7750000000000006 " " y[1] (analytic) = 1.7448012930492272 " " y[1] (numeric) = 1.7448012930492258 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.63564100311908600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7760000000000006 " " y[1] (analytic) = 1.745301194995471 " " y[1] (numeric) = 1.7453011949954698 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.63345394691971700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7770000000000006 " " y[1] (analytic) = 1.7458011157369289 " " y[1] (numeric) = 1.7458011157369275 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.63126806106901600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7780000000000006 " " y[1] (analytic) = 1.746301053273918 " " y[1] (numeric) = 1.7463010532739167 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.62908335336847300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7790000000000006 " " y[1] (analytic) = 1.746801005606689 " " y[1] (numeric) = 1.7468010056066878 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.35574985966738800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7800000000000006 " " y[1] (analytic) = 1.7473009707354334 " " y[1] (numeric) = 1.7473009707354323 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.35393125294188600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7810000000000006 " " y[1] (analytic) = 1.7478009466602913 " " y[1] (numeric) = 1.7478009466602902 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.3521136474183590000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7820000000000006 " " y[1] (analytic) = 1.7483009313813596 " " y[1] (numeric) = 1.7483009313813584 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.350297049535700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7830000000000006 " " y[1] (analytic) = 1.7488009228987 " " y[1] (numeric) = 1.748800922898699 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.34848146571722000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7840000000000006 " " y[1] (analytic) = 1.7493009192123474 " " y[1] (numeric) = 1.7493009192123463 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.34666690237065300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7850000000000006 " " y[1] (analytic) = 1.7498009183223169 " " y[1] (numeric) = 1.7498009183223158 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.34485336588817100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7860000000000006 " " y[1] (analytic) = 1.750300918228613 " " y[1] (numeric) = 1.7503009182286118 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.34304086264637600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7870000000000006 " " y[1] (analytic) = 1.7508009169312364 " " y[1] (numeric) = 1.7508009169312353 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.34122939900631300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7880000000000006 " " y[1] (analytic) = 1.7513009124301933 " " y[1] (numeric) = 1.7513009124301921 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.33941898131346900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7890000000000006 " " y[1] (analytic) = 1.7518009027255022 " " y[1] (numeric) = 1.751800902725501 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.33760961589778700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7900000000000006 " " y[1] (analytic) = 1.7523008858172024 " " y[1] (numeric) = 1.7523008858172013 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.3358013090736610000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7910000000000006 " " y[1] (analytic) = 1.7528008597053626 " " y[1] (numeric) = 1.7528008597053615 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.33399406713994800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7920000000000006 " " y[1] (analytic) = 1.7533008223900874 " " y[1] (numeric) = 1.7533008223900866 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 5.06575031710397900000000000000E-14 "%" h = 1.000E-3 " " "Finished!" "Maximum Time Reached before Solution Completed!" "diff ( y , x , 1 ) = sin(x) * cos(x) ;" Iterations = 692 "Total Elapsed Time "= 15 Minutes 1 Seconds "Elapsed Time(since restart) "= 15 Minutes 0 Seconds "Expected Time Remaining "= 3 Hours 19 Minutes 33 Seconds "Optimized Time Remaining "= 3 Hours 19 Minutes 28 Seconds "Time to Timeout " Unknown Percent Done = 7.000000000000006 "%" (%o49) true (%o49) diffeq.max