(%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 : array_tmp1 + array_const_0D0 ,
1 1 1 1 1
array_tmp3_g : sin(array_x ), array_tmp3 : cos(array_x ),
1 1 1 1
array_tmp4 : array_tmp2 - array_tmp3 ,
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 : array_tmp1 + array_const_0D0 ,
2 2 2
array_tmp3_g : att(1, array_tmp3, array_x, 1),
2
array_tmp3 : - att(1, array_tmp3_g, array_x, 1),
2
array_tmp4 : array_tmp2 - array_tmp3 ,
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 : array_tmp1 + array_const_0D0 ,
3 3 3
array_tmp3_g : att(2, array_tmp3, array_x, 1),
3
array_tmp3 : - att(2, array_tmp3_g, array_x, 1),
3
array_tmp4 : array_tmp2 - array_tmp3 ,
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 : array_tmp1 + array_const_0D0 ,
4 4 4
array_tmp3_g : att(3, array_tmp3, array_x, 1),
4
array_tmp3 : - att(3, array_tmp3_g, array_x, 1),
4
array_tmp4 : array_tmp2 - array_tmp3 ,
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 : array_tmp1 + array_const_0D0 ,
5 5 5
array_tmp3_g : att(4, array_tmp3, array_x, 1),
5
array_tmp3 : - att(4, array_tmp3_g, array_x, 1),
5
array_tmp4 : array_tmp2 - array_tmp3 ,
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 : array_tmp1 + array_const_0D0 ,
kkk kkk kkk
array_tmp3_g : att(kkk - 1, array_tmp3, array_x, 1),
kkk
array_tmp3 : - att(kkk - 1, array_tmp3_g, array_x, 1),
kkk
array_tmp4 : array_tmp2 - array_tmp3 , 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 : array_tmp1 + array_const_0D0 ,
1 1 1 1 1
array_tmp3_g : sin(array_x ), array_tmp3 : cos(array_x ),
1 1 1 1
array_tmp4 : array_tmp2 - array_tmp3 ,
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 : array_tmp1 + array_const_0D0 ,
2 2 2
array_tmp3_g : att(1, array_tmp3, array_x, 1),
2
array_tmp3 : - att(1, array_tmp3_g, array_x, 1),
2
array_tmp4 : array_tmp2 - array_tmp3 ,
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 : array_tmp1 + array_const_0D0 ,
3 3 3
array_tmp3_g : att(2, array_tmp3, array_x, 1),
3
array_tmp3 : - att(2, array_tmp3_g, array_x, 1),
3
array_tmp4 : array_tmp2 - array_tmp3 ,
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 : array_tmp1 + array_const_0D0 ,
4 4 4
array_tmp3_g : att(3, array_tmp3, array_x, 1),
4
array_tmp3 : - att(3, array_tmp3_g, array_x, 1),
4
array_tmp4 : array_tmp2 - array_tmp3 ,
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 : array_tmp1 + array_const_0D0 ,
5 5 5
array_tmp3_g : att(4, array_tmp3, array_x, 1),
5
array_tmp3 : - att(4, array_tmp3_g, array_x, 1),
5
array_tmp4 : array_tmp2 - array_tmp3 ,
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 : array_tmp1 + array_const_0D0 ,
kkk kkk kkk
array_tmp3_g : att(kkk - 1, array_tmp3, array_x, 1),
kkk
array_tmp3 : - att(kkk - 1, array_tmp3_g, array_x, 1),
kkk
array_tmp4 : array_tmp2 - array_tmp3 , 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) mode_declare(factorial_1, bfloat)
modedeclare: bfloat
is not a built-in type; assuming it is a Maxima extension type.
(%o39) [factorial_1]
(%i40) factorial_1(nnn) := nnn!
(%o40) factorial_1(nnn) := nnn!
(%i41) mode_declare(factorial_3, bfloat)
modedeclare: bfloat
is not a built-in type; assuming it is a Maxima extension type.
(%o41) [factorial_3]
mmm2!
(%i42) factorial_3(mmm2, nnn2) := -----
nnn2!
mmm2!
(%o42) factorial_3(mmm2, nnn2) := -----
nnn2!
(%i43) convfp(mmm) := mmm
(%o43) convfp(mmm) := mmm
(%i44) convfloat(mmm) := mmm
(%o44) convfloat(mmm) := mmm
(%i45) elapsed_time_seconds() := (t : elapsed_real_time(), t)
(%o45) elapsed_time_seconds() := (t : elapsed_real_time(), t)
(%i46) arcsin(x) := asin(x)
(%o46) arcsin(x) := asin(x)
(%i47) arccos(x) := acos(x)
(%o47) arccos(x) := acos(x)
(%i48) arctan(x) := atan(x)
(%o48) arctan(x) := atan(x)
(%i49) exact_soln_y(x) := - sin(x) - cos(x) + 2.0
(%o49) exact_soln_y(x) := - sin(x) - cos(x) + 2.0
(%i50) mainprog() := (define_variable(DEBUGMASSIVE, 4, fixnum),
define_variable(INFO, 2, fixnum), define_variable(glob_iolevel, 5, fixnum),
define_variable(DEBUGL, 3, fixnum), define_variable(ALWAYS, 1, fixnum),
define_variable(glob_max_terms, 30, fixnum),
define_variable(glob_optimal_clock_start_sec, 0.0, float),
define_variable(glob_max_trunc_err, 1.0E-11, float),
define_variable(glob_abserr, 1.0E-11, float),
define_variable(glob_h, 0.1, float), define_variable(days_in_year, 365.0,
float), define_variable(glob_max_minutes, 0.0, float),
define_variable(glob_max_hours, 0.0, float),
define_variable(glob_log10_relerr, 1.0E-11, float),
define_variable(glob_log10normmin, 0.1, float),
define_variable(glob_current_iter, 0, fixnum),
define_variable(glob_no_eqs, 0, fixnum),
define_variable(glob_log10_abserr, 1.0E-11, float),
define_variable(glob_not_yet_finished, true, boolean),
define_variable(glob_clock_start_sec, 0.0, float),
define_variable(glob_iter, 0, fixnum),
define_variable(glob_warned2, false, boolean),
define_variable(glob_max_rel_trunc_err, 1.0E-11, float),
define_variable(glob_hmin_init, 0.001, float),
define_variable(glob_hmin, 1.0E-11, float),
define_variable(glob_disp_incr, 0.1, float),
define_variable(glob_display_flag, true, boolean),
define_variable(glob_percent_done, 0.0, float),
define_variable(glob_unchanged_h_cnt, 0, fixnum),
define_variable(glob_smallish_float, 1.0E-101, float),
define_variable(glob_max_iter, 1000, fixnum),
define_variable(glob_dump_analytic, false, boolean),
define_variable(glob_reached_optimal_h, false, boolean),
define_variable(glob_not_yet_start_msg, true, boolean),
define_variable(glob_initial_pass, true, boolean),
define_variable(sec_in_min, 60.0, float),
define_variable(glob_html_log, true, boolean),
define_variable(glob_log10abserr, 0.0, float),
define_variable(glob_warned, false, boolean),
define_variable(glob_look_poles, false, boolean),
define_variable(glob_optimal_done, false, boolean),
define_variable(years_in_century, 100.0, float),
define_variable(glob_dump, false, boolean),
define_variable(glob_subiter_method, 3, fixnum),
define_variable(MAX_UNCHANGED, 10, fixnum),
define_variable(glob_small_float, 1.0E-51, float),
define_variable(min_in_hour, 60.0, float),
define_variable(djd_debug, true, boolean),
define_variable(glob_log10relerr, 0.0, float),
define_variable(glob_normmax, 0.0, float),
define_variable(glob_orig_start_sec, 0.0, float),
define_variable(glob_max_sec, 10000.0, float),
define_variable(glob_relerr, 1.0E-11, float),
define_variable(glob_last_good_h, 0.1, float),
define_variable(centuries_in_millinium, 10.0, float),
define_variable(glob_max_opt_iter, 10, fixnum),
define_variable(glob_start, 0, fixnum),
define_variable(glob_optimal_start, 0.0, float),
define_variable(glob_hmax, 1.0, float),
define_variable(glob_almost_1, 0.999, float),
define_variable(hours_in_day, 24.0, float),
define_variable(glob_curr_iter_when_opt, 0, fixnum),
define_variable(glob_large_float, 9.0E+100, float),
define_variable(glob_clock_sec, 0.0, float),
define_variable(djd_debug2, true, boolean),
define_variable(glob_optimal_expect_sec, 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/subpostode.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 : 0.0,"), 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) - sin(x) "), 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_tmp1_g, 1 + max_terms), array(array_m1, 1 + max_terms),
array(array_tmp3_g, 1 + max_terms), array(array_1st_rel_error, 1 + max_terms),
array(array_norms, 1 + max_terms), array(array_y, 1 + max_terms),
array(array_x, 1 + max_terms), array(array_tmp0, 1 + max_terms),
array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms),
array(array_tmp3, 1 + max_terms), array(array_tmp4, 1 + max_terms),
array(array_type_pole, 1 + max_terms), array(array_pole, 1 + max_terms),
array(array_last_rel_error, 1 + max_terms),
array(array_y_init, 1 + max_terms), array(array_y_higher_work2, 1 + 2,
1 + max_terms), array(array_y_set_initial, 1 + 2, 1 + max_terms),
array(array_complex_pole, 1 + 1, 1 + 3), array(array_poles, 1 + 1, 1 + 3),
array(array_y_higher, 1 + 2, 1 + max_terms),
array(array_y_higher_work, 1 + 2, 1 + max_terms),
array(array_real_pole, 1 + 1, 1 + 3), term : 1,
while term <= max_terms do (array_tmp1_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_tmp3_g : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_1st_rel_error : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_norms : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_y : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_x : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_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_type_pole : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_pole : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_last_rel_error : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_y_init : 0.0, term : 1 + term),
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 <= 2 do (term : 1, while term <=
max_terms do (array_y_set_initial : 0.0, term : 1 + term),
ord, 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, 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_higher_work : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 1 do (term : 1, while term <=
3 do (array_real_pole : 0.0, term : 1 + term), ord : 1 + ord),
ord, term
array(array_tmp1_g, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp1_g : 0.0, term : 1 + term),
term
array(array_tmp3_g, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp3_g : 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_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_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, x_start : 0.0, x_end : 10.0,
1
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,
convfp(calc_term - 1)!
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 2, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, ord : 1, calc_term : 1, iii : glob_max_terms,
convfp(calc_term - 1)!
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 1, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, term_no : glob_max_terms,
convfp(calc_term - 1)!
while term_no >= 1 do (array_y : array_y_higher_work2 ,
term_no 1, term_no
ord : 1, while ord <= order_diff do (array_y_higher :
ord, term_no
array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1),
ord, term_no
display_alot(current_iter)), omniout_str(ALWAYS, "Finished!"),
if glob_iter >= glob_max_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!"),
if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >=
convfloat(glob_max_sec) then omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!"),
glob_clock_sec : elapsed_time_seconds(),
omniout_str(INFO, "diff ( y , x , 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,
"2012-06-16T01:18:43-05:00"), logitem_str(html_log_file, "Maxima"),
logitem_str(html_log_file, "sub"),
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, " 090 | "),
logitem_str(html_log_file, "sub diffeq.max"),
logitem_str(html_log_file,
"sub maxima results"),
logitem_str(html_log_file,
"Test of revised logic - mostly affecting systems of eqs"),
logend(html_log_file)), if glob_html_log then close(html_log_file))
(%o50) mainprog() := (define_variable(DEBUGMASSIVE, 4, fixnum),
define_variable(INFO, 2, fixnum), define_variable(glob_iolevel, 5, fixnum),
define_variable(DEBUGL, 3, fixnum), define_variable(ALWAYS, 1, fixnum),
define_variable(glob_max_terms, 30, fixnum),
define_variable(glob_optimal_clock_start_sec, 0.0, float),
define_variable(glob_max_trunc_err, 1.0E-11, float),
define_variable(glob_abserr, 1.0E-11, float),
define_variable(glob_h, 0.1, float), define_variable(days_in_year, 365.0,
float), define_variable(glob_max_minutes, 0.0, float),
define_variable(glob_max_hours, 0.0, float),
define_variable(glob_log10_relerr, 1.0E-11, float),
define_variable(glob_log10normmin, 0.1, float),
define_variable(glob_current_iter, 0, fixnum),
define_variable(glob_no_eqs, 0, fixnum),
define_variable(glob_log10_abserr, 1.0E-11, float),
define_variable(glob_not_yet_finished, true, boolean),
define_variable(glob_clock_start_sec, 0.0, float),
define_variable(glob_iter, 0, fixnum),
define_variable(glob_warned2, false, boolean),
define_variable(glob_max_rel_trunc_err, 1.0E-11, float),
define_variable(glob_hmin_init, 0.001, float),
define_variable(glob_hmin, 1.0E-11, float),
define_variable(glob_disp_incr, 0.1, float),
define_variable(glob_display_flag, true, boolean),
define_variable(glob_percent_done, 0.0, float),
define_variable(glob_unchanged_h_cnt, 0, fixnum),
define_variable(glob_smallish_float, 1.0E-101, float),
define_variable(glob_max_iter, 1000, fixnum),
define_variable(glob_dump_analytic, false, boolean),
define_variable(glob_reached_optimal_h, false, boolean),
define_variable(glob_not_yet_start_msg, true, boolean),
define_variable(glob_initial_pass, true, boolean),
define_variable(sec_in_min, 60.0, float),
define_variable(glob_html_log, true, boolean),
define_variable(glob_log10abserr, 0.0, float),
define_variable(glob_warned, false, boolean),
define_variable(glob_look_poles, false, boolean),
define_variable(glob_optimal_done, false, boolean),
define_variable(years_in_century, 100.0, float),
define_variable(glob_dump, false, boolean),
define_variable(glob_subiter_method, 3, fixnum),
define_variable(MAX_UNCHANGED, 10, fixnum),
define_variable(glob_small_float, 1.0E-51, float),
define_variable(min_in_hour, 60.0, float),
define_variable(djd_debug, true, boolean),
define_variable(glob_log10relerr, 0.0, float),
define_variable(glob_normmax, 0.0, float),
define_variable(glob_orig_start_sec, 0.0, float),
define_variable(glob_max_sec, 10000.0, float),
define_variable(glob_relerr, 1.0E-11, float),
define_variable(glob_last_good_h, 0.1, float),
define_variable(centuries_in_millinium, 10.0, float),
define_variable(glob_max_opt_iter, 10, fixnum),
define_variable(glob_start, 0, fixnum),
define_variable(glob_optimal_start, 0.0, float),
define_variable(glob_hmax, 1.0, float),
define_variable(glob_almost_1, 0.999, float),
define_variable(hours_in_day, 24.0, float),
define_variable(glob_curr_iter_when_opt, 0, fixnum),
define_variable(glob_large_float, 9.0E+100, float),
define_variable(glob_clock_sec, 0.0, float),
define_variable(djd_debug2, true, boolean),
define_variable(glob_optimal_expect_sec, 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/subpostode.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 : 0.0,"), 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) - sin(x) "), 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_tmp1_g, 1 + max_terms), array(array_m1, 1 + max_terms),
array(array_tmp3_g, 1 + max_terms), array(array_1st_rel_error, 1 + max_terms),
array(array_norms, 1 + max_terms), array(array_y, 1 + max_terms),
array(array_x, 1 + max_terms), array(array_tmp0, 1 + max_terms),
array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms),
array(array_tmp3, 1 + max_terms), array(array_tmp4, 1 + max_terms),
array(array_type_pole, 1 + max_terms), array(array_pole, 1 + max_terms),
array(array_last_rel_error, 1 + max_terms),
array(array_y_init, 1 + max_terms), array(array_y_higher_work2, 1 + 2,
1 + max_terms), array(array_y_set_initial, 1 + 2, 1 + max_terms),
array(array_complex_pole, 1 + 1, 1 + 3), array(array_poles, 1 + 1, 1 + 3),
array(array_y_higher, 1 + 2, 1 + max_terms),
array(array_y_higher_work, 1 + 2, 1 + max_terms),
array(array_real_pole, 1 + 1, 1 + 3), term : 1,
while term <= max_terms do (array_tmp1_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_tmp3_g : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_1st_rel_error : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_norms : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_y : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_x : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_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_type_pole : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_pole : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_last_rel_error : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_y_init : 0.0, term : 1 + term),
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 <= 2 do (term : 1, while term <=
max_terms do (array_y_set_initial : 0.0, term : 1 + term),
ord, 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, 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_higher_work : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 1 do (term : 1, while term <=
3 do (array_real_pole : 0.0, term : 1 + term), ord : 1 + ord),
ord, term
array(array_tmp1_g, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp1_g : 0.0, term : 1 + term),
term
array(array_tmp3_g, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp3_g : 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_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_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, x_start : 0.0, x_end : 10.0,
1
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,
convfp(calc_term - 1)!
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 2, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, ord : 1, calc_term : 1, iii : glob_max_terms,
convfp(calc_term - 1)!
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 1, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, term_no : glob_max_terms,
convfp(calc_term - 1)!
while term_no >= 1 do (array_y : array_y_higher_work2 ,
term_no 1, term_no
ord : 1, while ord <= order_diff do (array_y_higher :
ord, term_no
array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1),
ord, term_no
display_alot(current_iter)), omniout_str(ALWAYS, "Finished!"),
if glob_iter >= glob_max_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!"),
if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >=
convfloat(glob_max_sec) then omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!"),
glob_clock_sec : elapsed_time_seconds(),
omniout_str(INFO, "diff ( y , x , 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,
"2012-06-16T01:18:43-05:00"), logitem_str(html_log_file, "Maxima"),
logitem_str(html_log_file, "sub"),
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, " 090 | "),
logitem_str(html_log_file, "sub diffeq.max"),
logitem_str(html_log_file,
"sub maxima results"),
logitem_str(html_log_file,
"Test of revised logic - mostly affecting systems of eqs"),
logend(html_log_file)), if glob_html_log then close(html_log_file))
(%i51) mainprog()
"##############ECHO OF PROBLEM#################"
"##############temp/subpostode.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 : 0.0,"
"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) - sin(x) "
");"
""
"/* END USER DEF BLOCK */"
"#######END OF ECHO OF PROBLEM#################"
"START of Soultion"
x[1] = 0.0 " "
y[1] (analytic) = 1. " "
y[1] (numeric) = 1. " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.000E-3 " "
y[1] (analytic) = 0.999000500166625 " "
y[1] (numeric) = 0.999000500166625 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.000E-3 " "
y[1] (analytic) = 0.9980020013326664 " "
y[1] (numeric) = 0.9980020013326664 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.000E-3 " "
y[1] (analytic) = 0.997004504496623 " "
y[1] (numeric) = 0.9970045044966229 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.113558684657795200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.000E-3 " "
y[1] (analytic) = 0.9960080106559913 " "
y[1] (numeric) = 0.9960080106559914 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.114672786510964900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.000E-3 " "
y[1] (analytic) = 0.9950125208072657 " "
y[1] (numeric) = 0.9950125208072657 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.000E-3 " "
y[1] (analytic) = 0.9940180359459352 " "
y[1] (numeric) = 0.9940180359459353 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.116904306035692300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.000E-3 " "
y[1] (analytic) = 0.9930245570664852 " "
y[1] (numeric) = 0.9930245570664852 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.000E-3 " "
y[1] (analytic) = 0.9920320851623939 " "
y[1] (numeric) = 0.992032085162394 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.119140238738765100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.000000000000001000E-3 " "
y[1] (analytic) = 0.9910406212261336 " "
y[1] (numeric) = 0.9910406212261338 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.2405197140185198000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.000000000000000200E-2 " "
y[1] (analytic) = 0.9900501662491681 " "
y[1] (numeric) = 0.9900501662491682 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.121380574916992900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.100000000000000300E-2 " "
y[1] (analytic) = 0.9890607212219521 " "
y[1] (numeric) = 0.9890607212219522 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.122502391211646100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.200000000000000400E-2 " "
y[1] (analytic) = 0.9880722871339307 " "
y[1] (numeric) = 0.9880722871339307 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.300000000000000600E-2 " "
y[1] (analytic) = 0.9870848649735376 " "
y[1] (numeric) = 0.9870848649735378 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.124749313884900900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.400000000000000700E-2 " "
y[1] (analytic) = 0.9860984557281953 " "
y[1] (numeric) = 0.9860984557281954 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.125874417687126300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.500000000000000800E-2 " "
y[1] (analytic) = 0.9851130603843127 " "
y[1] (numeric) = 0.9851130603843129 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.25400122944677200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.600000000000001000E-2 " "
y[1] (analytic) = 0.9841286799272853 " "
y[1] (numeric) = 0.9841286799272854 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.128127903667219700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.700000000000001000E-2 " "
y[1] (analytic) = 0.9831453153414932 " "
y[1] (numeric) = 0.9831453153414933 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.129256283176737900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.80000000000000100E-2 " "
y[1] (analytic) = 0.982162967610301 " "
y[1] (numeric) = 0.9821629676103011 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.13038575189455400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.90000000000000100E-2 " "
y[1] (analytic) = 0.9811816377160564 " "
y[1] (numeric) = 0.9811816377160565 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.131516308447716200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.00000000000000120E-2 " "
y[1] (analytic) = 0.9802013266400892 " "
y[1] (numeric) = 0.9802013266400893 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.132647951447640600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.10000000000000130E-2 " "
y[1] (analytic) = 0.9792220353627102 " "
y[1] (numeric) = 0.9792220353627105 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.26756135898008600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.200000000000001400E-2 " "
y[1] (analytic) = 0.978243764863211 " "
y[1] (numeric) = 0.9782437648632112 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.269828982309742300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.300000000000001500E-2 " "
y[1] (analytic) = 0.9772665161198617 " "
y[1] (numeric) = 0.9772665161198619 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.272098770012473700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.400000000000001600E-2 " "
y[1] (analytic) = 0.9762902901099112 " "
y[1] (numeric) = 0.9762902901099113 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.137185359592347300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.500000000000001700E-2 " "
y[1] (analytic) = 0.975315087809585 " "
y[1] (numeric) = 0.9753150878095853 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.414967240336315700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.600000000000002000E-2 " "
y[1] (analytic) = 0.9743409101940858 " "
y[1] (numeric) = 0.9743409101940861 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.41838163524511200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.700000000000002000E-2 " "
y[1] (analytic) = 0.9733677582375908 " "
y[1] (numeric) = 0.9733677582375911 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.42179925900368830000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.800000000000002000E-2 " "
y[1] (analytic) = 0.972395632913252 " "
y[1] (numeric) = 0.9723956329132525 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.566960142751690400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.90000000000000200E-2 " "
y[1] (analytic) = 0.9714245351931949 " "
y[1] (numeric) = 0.9714245351931953 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.42864417482833400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.00000000000000200E-2 " "
y[1] (analytic) = 0.9704544660485168 " "
y[1] (numeric) = 0.9704544660485172 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.432071457651426000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.10000000000000200E-2 " "
y[1] (analytic) = 0.9694854264492869 " "
y[1] (numeric) = 0.9694854264492871 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.290334633891954700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.20000000000000230E-2 " "
y[1] (analytic) = 0.9685174173645446 " "
y[1] (numeric) = 0.9685174173645448 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.292623766428920600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.30000000000000240E-2 " "
y[1] (analytic) = 0.9675504397622988 " "
y[1] (numeric) = 0.9675504397622992 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.44237254927373670000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.40000000000000250E-2 " "
y[1] (analytic) = 0.9665844946095273 " "
y[1] (numeric) = 0.9665844946095277 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.4458126448851900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.500000000000002600E-2 " "
y[1] (analytic) = 0.9656195828721751 " "
y[1] (numeric) = 0.9656195828721755 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.599007908778600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.600000000000002600E-2 " "
y[1] (analytic) = 0.9646557055151539 " "
y[1] (numeric) = 0.9646557055151543 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.603603205901386500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.700000000000003000E-2 " "
y[1] (analytic) = 0.963692863502341 " "
y[1] (numeric) = 0.9636928635023413 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.45615205841708400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.80000000000000300E-2 " "
y[1] (analytic) = 0.962731057796578 " "
y[1] (numeric) = 0.9627310577965784 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.61280651801613800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.90000000000000300E-2 " "
y[1] (analytic) = 0.9617702893596707 " "
y[1] (numeric) = 0.9617702893596712 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.7717681493588400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.00000000000000300E-2 " "
y[1] (analytic) = 0.9608105591523879 " "
y[1] (numeric) = 0.9608105591523882 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.466520056579867600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.10000000000000300E-2 " "
y[1] (analytic) = 0.9598518681344591 " "
y[1] (numeric) = 0.9598518681344594 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.46998238420774600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.20000000000000300E-2 " "
y[1] (analytic) = 0.9588942172645757 " "
y[1] (numeric) = 0.9588942172645759 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.315631911499632400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.30000000000000300E-2 " "
y[1] (analytic) = 0.9579376075003878 " "
y[1] (numeric) = 0.9579376075003883 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.63588866720511200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.40000000000000340E-2 " "
y[1] (analytic) = 0.9569820397985059 " "
y[1] (numeric) = 0.9569820397985063 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.48038827831789500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.50000000000000340E-2 " "
y[1] (analytic) = 0.9560275151144972 " "
y[1] (numeric) = 0.9560275151144976 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.483863195586558400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.600000000000003500E-2 " "
y[1] (analytic) = 0.9550740344028864 " "
y[1] (numeric) = 0.9550740344028869 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.649788329003288000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.700000000000003600E-2 " "
y[1] (analytic) = 0.9541215986171543 " "
y[1] (numeric) = 0.9541215986171546 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.49082242630576500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.800000000000003700E-2 " "
y[1] (analytic) = 0.9531702087097362 " "
y[1] (numeric) = 0.9531702087097366 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.49430672868390140000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.90000000000000400E-2 " "
y[1] (analytic) = 0.9522198656320224 " "
y[1] (numeric) = 0.9522198656320225 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.165931382757134400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.00000000000000300E-2 " "
y[1] (analytic) = 0.9512705703343554 " "
y[1] (numeric) = 0.9512705703343556 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.3341897862664500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.10000000000000300E-2 " "
y[1] (analytic) = 0.9503223237660307 " "
y[1] (numeric) = 0.950322323766031 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.504778316346781600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.20000000000000400E-2 " "
y[1] (analytic) = 0.9493751268752948 " "
y[1] (numeric) = 0.9493751268752951 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.50827505333723600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.30000000000000400E-2 " "
y[1] (analytic) = 0.9484289806093446 " "
y[1] (numeric) = 0.9484289806093448 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.34118325636119420000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.40000000000000400E-2 " "
y[1] (analytic) = 0.947483885914326 " "
y[1] (numeric) = 0.9474838859143262 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.343518536051484600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.50000000000000400E-2 " "
y[1] (analytic) = 0.9465398437353338 " "
y[1] (numeric) = 0.9465398437353341 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.34585587067075600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.60000000000000400E-2 " "
y[1] (analytic) = 0.94559685501641 " "
y[1] (numeric) = 0.9455968550164103 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.52229288433670700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.700000000000004000E-2 " "
y[1] (analytic) = 0.9446549207005437 " "
y[1] (numeric) = 0.9446549207005438 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.175268344340841100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.800000000000004000E-2 " "
y[1] (analytic) = 0.9437140417296683 " "
y[1] (numeric) = 0.9437140417296686 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.352880163974895300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.900000000000004000E-2 " "
y[1] (analytic) = 0.9427742190446634 " "
y[1] (numeric) = 0.9427742190446635 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.177612838999960300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.000000000000004000E-2 " "
y[1] (analytic) = 0.941835453585351 " "
y[1] (numeric) = 0.9418354535853514 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.53635983992360700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.10000000000000400E-2 " "
y[1] (analytic) = 0.9408977462904972 " "
y[1] (numeric) = 0.9408977462904975 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.5398842084665205000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.20000000000000400E-2 " "
y[1] (analytic) = 0.9399610980978088 " "
y[1] (numeric) = 0.939961098097809 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.362274410870631400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.30000000000000400E-2 " "
y[1] (analytic) = 0.9390255099439339 " "
y[1] (numeric) = 0.9390255099439342 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.5469420570633200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.40000000000000500E-2 " "
y[1] (analytic) = 0.9380909827644608 " "
y[1] (numeric) = 0.9380909827644609 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.183491841434654600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.50000000000000500E-2 " "
y[1] (analytic) = 0.9371575174939163 " "
y[1] (numeric) = 0.9371575174939164 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.18467067051229600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.60000000000000500E-2 " "
y[1] (analytic) = 0.9362251150657659 " "
y[1] (numeric) = 0.9362251150657659 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.70000000000000500E-2 " "
y[1] (analytic) = 0.9352937764124114 " "
y[1] (numeric) = 0.9352937764124116 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.37406267982181280000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.80000000000000500E-2 " "
y[1] (analytic) = 0.934363502465192 " "
y[1] (numeric) = 0.9343635024651922 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.37642635162007700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.90000000000000500E-2 " "
y[1] (analytic) = 0.9334342941543812 " "
y[1] (numeric) = 0.9334342941543815 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.568188028588339400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.00000000000000500E-2 " "
y[1] (analytic) = 0.9325061524091875 " "
y[1] (numeric) = 0.9325061524091878 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.38115967762105700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.10000000000000500E-2 " "
y[1] (analytic) = 0.9315790781577526 " "
y[1] (numeric) = 0.9315790781577526 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.20000000000000500E-2 " "
y[1] (analytic) = 0.9306530723271502 " "
y[1] (numeric) = 0.9306530723271503 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.192950474927226700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.30000000000000500E-2 " "
y[1] (analytic) = 0.9297281358433866 " "
y[1] (numeric) = 0.9297281358433866 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.40000000000000500E-2 " "
y[1] (analytic) = 0.9288042696313976 " "
y[1] (numeric) = 0.928804269631398 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.58597519711797650000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.50000000000000600E-2 " "
y[1] (analytic) = 0.9278814746150503 " "
y[1] (numeric) = 0.9278814746150503 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.60000000000000600E-2 " "
y[1] (analytic) = 0.9269597517171385 " "
y[1] (numeric) = 0.9269597517171387 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.39540718476402800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.70000000000000600E-2 " "
y[1] (analytic) = 0.9260391018593859 " "
y[1] (numeric) = 0.926039101859386 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.198894325731979800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.80000000000000600E-2 " "
y[1] (analytic) = 0.9251195259624418 " "
y[1] (numeric) = 0.9251195259624418 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.90000000000000600E-2 " "
y[1] (analytic) = 0.9242010249458821 " "
y[1] (numeric) = 0.9242010249458822 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.201278720384634100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.00000000000000600E-2 " "
y[1] (analytic) = 0.923283599728208 " "
y[1] (numeric) = 0.923283599728208 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.10000000000000600E-2 " "
y[1] (analytic) = 0.9223672512268444 " "
y[1] (numeric) = 0.9223672512268443 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.203667002648288500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.20000000000000600E-2 " "
y[1] (analytic) = 0.9214519803581394 " "
y[1] (numeric) = 0.9214519803581396 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.40972519087461920000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.30000000000000600E-2 " "
y[1] (analytic) = 0.9205377880373645 " "
y[1] (numeric) = 0.9205377880373646 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.206059152652723700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.40000000000000600E-2 " "
y[1] (analytic) = 0.9196246751787116 " "
y[1] (numeric) = 0.9196246751787117 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.207256671760580800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.50000000000000600E-2 " "
y[1] (analytic) = 0.9187126426952935 " "
y[1] (numeric) = 0.9187126426952935 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.60000000000000700E-2 " "
y[1] (analytic) = 0.9178016914991424 " "
y[1] (numeric) = 0.9178016914991426 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.41930917083343380000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.70000000000000700E-2 " "
y[1] (analytic) = 0.9168918225012097 " "
y[1] (numeric) = 0.9168918225012099 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.421709949591554500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.80000000000000700E-2 " "
y[1] (analytic) = 0.9159830366113645 " "
y[1] (numeric) = 0.9159830366113645 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.90000000000000700E-2 " "
y[1] (analytic) = 0.9150753347383922 " "
y[1] (numeric) = 0.9150753347383922 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.00000000000000700E-2 " "
y[1] (analytic) = 0.9141687177899948 " "
y[1] (numeric) = 0.9141687177899948 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.10000000000000700E-2 " "
y[1] (analytic) = 0.913263186672789 " "
y[1] (numeric) = 0.9132631866727889 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.215666021390760100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.20000000000000700E-2 " "
y[1] (analytic) = 0.9123587422923058 " "
y[1] (numeric) = 0.912358742292306 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.21687114197614400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.30000000000000700E-2 " "
y[1] (analytic) = 0.91145538555299 " "
y[1] (numeric) = 0.91145538555299 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.40000000000000700E-2 " "
y[1] (analytic) = 0.9105531173581978 " "
y[1] (numeric) = 0.9105531173581978 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.50000000000000700E-2 " "
y[1] (analytic) = 0.9096519386101973 " "
y[1] (numeric) = 0.9096519386101974 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.220492121768464300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.60000000000000700E-2 " "
y[1] (analytic) = 0.9087518502101677 " "
y[1] (numeric) = 0.9087518502101676 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.221700978510684200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.70000000000000800E-2 " "
y[1] (analytic) = 0.9078528530581967 " "
y[1] (numeric) = 0.9078528530581966 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.222910762339133300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.80000000000000800E-2 " "
y[1] (analytic) = 0.9069549480532816 " "
y[1] (numeric) = 0.9069549480532816 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.90000000000000800E-2 " "
y[1] (analytic) = 0.9060581360933274 " "
y[1] (numeric) = 0.9060581360933274 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10000000000000007 " "
y[1] (analytic) = 0.9051624180751461 " "
y[1] (numeric) = 0.905162418075146 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.226545648002131700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10100000000000008 " "
y[1] (analytic) = 0.9042677948944553 " "
y[1] (numeric) = 0.9042677948944552 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.227759111729440800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10200000000000008 " "
y[1] (analytic) = 0.9033742674458782 " "
y[1] (numeric) = 0.9033742674458782 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10300000000000008 " "
y[1] (analytic) = 0.9024818366229425 " "
y[1] (numeric) = 0.9024818366229425 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10400000000000008 " "
y[1] (analytic) = 0.9015905033180787 " "
y[1] (numeric) = 0.9015905033180786 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.231404967709018700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10500000000000008 " "
y[1] (analytic) = 0.9007002684226202 " "
y[1] (numeric) = 0.9007002684226199 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.69786619438718400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10600000000000008 " "
y[1] (analytic) = 0.8998111328268014 " "
y[1] (numeric) = 0.8998111328268011 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.46768012557776600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10700000000000008 " "
y[1] (analytic) = 0.8989230974197578 " "
y[1] (numeric) = 0.8989230974197578 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10800000000000008 " "
y[1] (analytic) = 0.8980361630895257 " "
y[1] (numeric) = 0.8980361630895254 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.708836248216246000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10900000000000008 " "
y[1] (analytic) = 0.8971503307230384 " "
y[1] (numeric) = 0.8971503307230381 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.71249829578861200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11000000000000008 " "
y[1] (analytic) = 0.8962656012061283 " "
y[1] (numeric) = 0.8962656012061281 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.477442006322902700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11100000000000008 " "
y[1] (analytic) = 0.8953819754235252 " "
y[1] (numeric) = 0.8953819754235249 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.479886919993021500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11200000000000009 " "
y[1] (analytic) = 0.8944994542588545 " "
y[1] (numeric) = 0.8944994542588544 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.241166799307934400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11300000000000009 " "
y[1] (analytic) = 0.8936180385946375 " "
y[1] (numeric) = 0.8936180385946373 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.484782035893470500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11400000000000009 " "
y[1] (analytic) = 0.8927377293122896 " "
y[1] (numeric) = 0.8927377293122895 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.243616112741649500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11500000000000009 " "
y[1] (analytic) = 0.8918585272921205 " "
y[1] (numeric) = 0.89185852729212 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.97936832199626500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11600000000000009 " "
y[1] (analytic) = 0.8909804334133312 " "
y[1] (numeric) = 0.890980433413331 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.492137836005916800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11700000000000009 " "
y[1] (analytic) = 0.8901034485540162 " "
y[1] (numeric) = 0.8901034485540161 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.247296622014808600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11800000000000009 " "
y[1] (analytic) = 0.8892275735911604 " "
y[1] (numeric) = 0.8892275735911602 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.49705037854708500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11900000000000009 " "
y[1] (analytic) = 0.8883528094006383 " "
y[1] (numeric) = 0.8883528094006382 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.249754616495456900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12000000000000009 " "
y[1] (analytic) = 0.8874791568572145 " "
y[1] (numeric) = 0.8874791568572141 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.75295470112244800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1210000000000001 " "
y[1] (analytic) = 0.8866066168345406 " "
y[1] (numeric) = 0.8866066168345405 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.252216037580450000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1220000000000001 " "
y[1] (analytic) = 0.8857351902051573 " "
y[1] (numeric) = 0.8857351902051571 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.506896049524695000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1230000000000001 " "
y[1] (analytic) = 0.884864877840491 " "
y[1] (numeric) = 0.8848648778404907 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.509361717089848000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1240000000000001 " "
y[1] (analytic) = 0.8839956806108539 " "
y[1] (numeric) = 0.8839956806108537 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.51182907106056500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12500000000000008 " "
y[1] (analytic) = 0.883127599385443 " "
y[1] (numeric) = 0.8831275993854429 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.25714905229747800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12600000000000008 " "
y[1] (analytic) = 0.8822606350323401 " "
y[1] (numeric) = 0.8822606350323398 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.77515321620734100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12700000000000009 " "
y[1] (analytic) = 0.8813947884185086 " "
y[1] (numeric) = 0.8813947884185084 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.51924118275588100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12800000000000009 " "
y[1] (analytic) = 0.8805300604097956 " "
y[1] (numeric) = 0.8805300604097954 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.521715213466903500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1290000000000001 " "
y[1] (analytic) = 0.8796664518709291 " "
y[1] (numeric) = 0.8796664518709287 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.786286343865446500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1300000000000001 " "
y[1] (analytic) = 0.8788039636655172 " "
y[1] (numeric) = 0.8788039636655168 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.79000233451741700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1310000000000001 " "
y[1] (analytic) = 0.877942596656048 " "
y[1] (numeric) = 0.8779425966560478 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.529147187649466000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1320000000000001 " "
y[1] (analytic) = 0.8770823517038887 " "
y[1] (numeric) = 0.8770823517038886 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.265813891327707800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1330000000000001 " "
y[1] (analytic) = 0.8762232296692843 " "
y[1] (numeric) = 0.8762232296692841 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.53411000081381400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1340000000000001 " "
y[1] (analytic) = 0.8753652314113567 " "
y[1] (numeric) = 0.8753652314113564 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.804890752292517000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1350000000000001 " "
y[1] (analytic) = 0.8745083577881038 " "
y[1] (numeric) = 0.8745083577881034 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.808618916232818000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1360000000000001 " "
y[1] (analytic) = 0.8736526096563992 " "
y[1] (numeric) = 0.8736526096563989 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.812349482004518400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1370000000000001 " "
y[1] (analytic) = 0.8727979878719913 " "
y[1] (numeric) = 0.8727979878719909 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.81608243849888600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1380000000000001 " "
y[1] (analytic) = 0.8719444932895015 " "
y[1] (numeric) = 0.8719444932895011 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 5.093090366047153000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1390000000000001 " "
y[1] (analytic) = 0.8710921267624242 " "
y[1] (numeric) = 0.871092126762424 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.549036985907579500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1400000000000001 " "
y[1] (analytic) = 0.8702408891431264 " "
y[1] (numeric) = 0.870240889143126 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.82729554015208200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1410000000000001 " "
y[1] (analytic) = 0.8693907812828451 " "
y[1] (numeric) = 0.8693907812828447 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.83103794701025200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1420000000000001 " "
y[1] (analytic) = 0.8685418040316881 " "
y[1] (numeric) = 0.868541804031688 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.278260895988664300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1430000000000001 " "
y[1] (analytic) = 0.8676939582386332 " "
y[1] (numeric) = 0.8676939582386329 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.559019834317719500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1440000000000001 " "
y[1] (analytic) = 0.8668472447515254 " "
y[1] (numeric) = 0.8668472447515253 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.280759708642083500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1450000000000001 " "
y[1] (analytic) = 0.8660016644170787 " "
y[1] (numeric) = 0.8660016644170785 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.564020533084004300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1460000000000001 " "
y[1] (analytic) = 0.865157218080873 " "
y[1] (numeric) = 0.8651572180808728 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.566523173875607000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1470000000000001 " "
y[1] (analytic) = 0.8643139065873547 " "
y[1] (numeric) = 0.8643139065873544 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.8535409976523904000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1480000000000001 " "
y[1] (analytic) = 0.863471730779835 " "
y[1] (numeric) = 0.8634717307798347 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.571532998822025000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1490000000000001 " "
y[1] (analytic) = 0.8626306915004898 " "
y[1] (numeric) = 0.8626306915004897 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.287020083523803300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1500000000000001 " "
y[1] (analytic) = 0.8617907895903583 " "
y[1] (numeric) = 0.8617907895903583 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1510000000000001 " "
y[1] (analytic) = 0.8609520258893424 " "
y[1] (numeric) = 0.8609520258893424 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1520000000000001 " "
y[1] (analytic) = 0.8601144012362059 " "
y[1] (numeric) = 0.8601144012362058 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.290785299059613600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1530000000000001 " "
y[1] (analytic) = 0.8592779164685729 " "
y[1] (numeric) = 0.8592779164685729 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1540000000000001 " "
y[1] (analytic) = 0.8584425724229285 " "
y[1] (numeric) = 0.8584425724229284 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.293299121328041000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1550000000000001 " "
y[1] (analytic) = 0.8576083699346166 " "
y[1] (numeric) = 0.8576083699346164 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.589114247356981700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1560000000000001 " "
y[1] (analytic) = 0.8567753098378396 " "
y[1] (numeric) = 0.8567753098378393 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.591631695911701000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1570000000000001 " "
y[1] (analytic) = 0.8559433929656574 " "
y[1] (numeric) = 0.8559433929656571 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.594150579931403500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1580000000000001 " "
y[1] (analytic) = 0.8551126201499869 " "
y[1] (numeric) = 0.8551126201499867 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.596670890976730500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1590000000000001 " "
y[1] (analytic) = 0.8542829922216008 " "
y[1] (numeric) = 0.8542829922216006 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.299596310278836600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.16000000000000011 " "
y[1] (analytic) = 0.8534545100101271 " "
y[1] (numeric) = 0.8534545100101268 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.601715760133443400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.16100000000000012 " "
y[1] (analytic) = 0.8526271743440477 " "
y[1] (numeric) = 0.8526271743440476 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.30212015055617390000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.16200000000000012 " "
y[1] (analytic) = 0.8518009860506985 " "
y[1] (numeric) = 0.8518009860506983 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.606766234851663000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.16300000000000012 " "
y[1] (analytic) = 0.8509759459562675 " "
y[1] (numeric) = 0.8509759459562674 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.304646776328754200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.16400000000000012 " "
y[1] (analytic) = 0.8501520548857946 " "
y[1] (numeric) = 0.8501520548857946 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.16500000000000012 " "
y[1] (analytic) = 0.8493293136631712 " "
y[1] (numeric) = 0.8493293136631712 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.16600000000000012 " "
y[1] (analytic) = 0.8485077231111382 " "
y[1] (numeric) = 0.8485077231111382 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.16700000000000012 " "
y[1] (analytic) = 0.8476872840512863 " "
y[1] (numeric) = 0.8476872840512861 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.619416488871116300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.16800000000000012 " "
y[1] (analytic) = 0.8468679973040539 " "
y[1] (numeric) = 0.846867997304054 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.310975297401100500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.16900000000000012 " "
y[1] (analytic) = 0.8460498636887287 " "
y[1] (numeric) = 0.8460498636887285 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.624486031555275400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.17000000000000012 " "
y[1] (analytic) = 0.8452328840234433 " "
y[1] (numeric) = 0.8452328840234431 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.627022790074891600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.17100000000000012 " "
y[1] (analytic) = 0.8444170591251774 " "
y[1] (numeric) = 0.8444170591251775 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.314780430626728800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.17200000000000013 " "
y[1] (analytic) = 0.8436023898097565 " "
y[1] (numeric) = 0.8436023898097564 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.316050117965558000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.17300000000000013 " "
y[1] (analytic) = 0.8427888768918492 " "
y[1] (numeric) = 0.8427888768918492 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.17400000000000013 " "
y[1] (analytic) = 0.8419765211849686 " "
y[1] (numeric) = 0.8419765211849687 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.318591429441128800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.17500000000000013 " "
y[1] (analytic) = 0.8411653235014706 " "
y[1] (numeric) = 0.8411653235014704 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.319863044286817300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.17600000000000013 " "
y[1] (analytic) = 0.840355284652552 " "
y[1] (numeric) = 0.8403552846525522 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.321135292299830400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.17700000000000013 " "
y[1] (analytic) = 0.8395464054482527 " "
y[1] (numeric) = 0.8395464054482525 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.32240816876868600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.17800000000000013 " "
y[1] (analytic) = 0.8387386866974508 " "
y[1] (numeric) = 0.8387386866974508 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.17900000000000013 " "
y[1] (analytic) = 0.8379321292078656 " "
y[1] (numeric) = 0.8379321292078655 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.324955788095510000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.18000000000000013 " "
y[1] (analytic) = 0.8371267337860544 " "
y[1] (numeric) = 0.8371267337860543 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.326230521397848100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.18100000000000013 " "
y[1] (analytic) = 0.8363225012374123 " "
y[1] (numeric) = 0.8363225012374124 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.327505864044653300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.18200000000000013 " "
y[1] (analytic) = 0.8355194323661723 " "
y[1] (numeric) = 0.8355194323661722 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.328781811191428200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.18300000000000013 " "
y[1] (analytic) = 0.8347175279754026 " "
y[1] (numeric) = 0.8347175279754027 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.330058357966903400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.18400000000000014 " "
y[1] (analytic) = 0.8339167888670079 " "
y[1] (numeric) = 0.833916788867008 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.33133549947297400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.18500000000000014 " "
y[1] (analytic) = 0.8331172158417272 " "
y[1] (numeric) = 0.8331172158417274 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.665226461569300000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.18600000000000014 " "
y[1] (analytic) = 0.8323188096991335 " "
y[1] (numeric) = 0.8323188096991336 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.33389154694999600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.18700000000000014 " "
y[1] (analytic) = 0.8315215712376326 " "
y[1] (numeric) = 0.8315215712376328 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.670340885980158000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.18800000000000014 " "
y[1] (analytic) = 0.8307255012544632 " "
y[1] (numeric) = 0.8307255012544634 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.672899827797820500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.18900000000000014 " "
y[1] (analytic) = 0.8299306005456952 " "
y[1] (numeric) = 0.8299306005456953 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.337729954643392700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.19000000000000014 " "
y[1] (analytic) = 0.8291368699062289 " "
y[1] (numeric) = 0.8291368699062291 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.67802112032653200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.19100000000000014 " "
y[1] (analytic) = 0.8283443101297954 " "
y[1] (numeric) = 0.8283443101297955 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.340291725371051000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.19200000000000014 " "
y[1] (analytic) = 0.827552922008954 " "
y[1] (numeric) = 0.8275529220089541 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.341573445151999800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.19300000000000014 " "
y[1] (analytic) = 0.8267627063350929 " "
y[1] (numeric) = 0.8267627063350931 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.68571142872807600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.19400000000000014 " "
y[1] (analytic) = 0.8259736638984277 " "
y[1] (numeric) = 0.8259736638984279 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.344138527837715200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.19500000000000015 " "
y[1] (analytic) = 0.8251857954880006 " "
y[1] (numeric) = 0.8251857954880009 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.690843760752304000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.19600000000000015 " "
y[1] (analytic) = 0.8243991018916803 " "
y[1] (numeric) = 0.8243991018916805 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.693411533509970600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.19700000000000015 " "
y[1] (analytic) = 0.8236135838961604 " "
y[1] (numeric) = 0.8236135838961604 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.19800000000000015 " "
y[1] (analytic) = 0.8228292422869581 " "
y[1] (numeric) = 0.8228292422869582 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.349275119998677700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.19900000000000015 " "
y[1] (analytic) = 0.8220460778484155 " "
y[1] (numeric) = 0.8220460778484157 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.350560576276942600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.20000000000000015 " "
y[1] (analytic) = 0.821264091363697 " "
y[1] (numeric) = 0.8212640913636972 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.351846545222313800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.20100000000000015 " "
y[1] (analytic) = 0.820483283614789 " "
y[1] (numeric) = 0.8204832836147891 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.353133021472255000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.20200000000000015 " "
y[1] (analytic) = 0.8197036553824989 " "
y[1] (numeric) = 0.819703655382499 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.354419999636444800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.20300000000000015 " "
y[1] (analytic) = 0.818925207446455 " "
y[1] (numeric) = 0.8189252074464552 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.711414948593453600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.20400000000000015 " "
y[1] (analytic) = 0.8181479405851054 " "
y[1] (numeric) = 0.8181479405851056 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.713990880014123000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.20500000000000015 " "
y[1] (analytic) = 0.8173718555757168 " "
y[1] (numeric) = 0.8173718555757169 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.358283891293479400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.20600000000000016 " "
y[1] (analytic) = 0.8165969531943741 " "
y[1] (numeric) = 0.8165969531943741 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.20700000000000016 " "
y[1] (analytic) = 0.8158232342159794 " "
y[1] (numeric) = 0.8158232342159795 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.3608622285587400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.20800000000000016 " "
y[1] (analytic) = 0.8150506994142518 " "
y[1] (numeric) = 0.8150506994142519 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.36215210344955800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.20900000000000016 " "
y[1] (analytic) = 0.8142793495617261 " "
y[1] (numeric) = 0.8142793495617262 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.363442441740316500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.21000000000000016 " "
y[1] (analytic) = 0.8135091854297521 " "
y[1] (numeric) = 0.8135091854297521 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.21100000000000016 " "
y[1] (analytic) = 0.8127402077884938 " "
y[1] (numeric) = 0.8127402077884938 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.21200000000000016 " "
y[1] (analytic) = 0.8119724174069286 " "
y[1] (numeric) = 0.8119724174069287 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.367316180727795000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.21300000000000016 " "
y[1] (analytic) = 0.8112058150528471 " "
y[1] (numeric) = 0.8112058150528472 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.368608316192641600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.21400000000000016 " "
y[1] (analytic) = 0.8104404014928515 " "
y[1] (numeric) = 0.8104404014928516 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.369900886703202300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.21500000000000016 " "
y[1] (analytic) = 0.8096761774923552 " "
y[1] (numeric) = 0.8096761774923553 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.371193886503643800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.21600000000000016 " "
y[1] (analytic) = 0.8089131438155822 " "
y[1] (numeric) = 0.8089131438155824 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.744974619619403000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.21700000000000016 " "
y[1] (analytic) = 0.8081513012255663 " "
y[1] (numeric) = 0.8081513012255664 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.373781150808637800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.21800000000000017 " "
y[1] (analytic) = 0.8073906504841496 " "
y[1] (numeric) = 0.8073906504841499 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.12522621097760170000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.21900000000000017 " "
y[1] (analytic) = 0.8066311923519832 " "
y[1] (numeric) = 0.8066311923519836 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.12911018747473900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.22000000000000017 " "
y[1] (analytic) = 0.8058729275885251 " "
y[1] (numeric) = 0.8058729275885254 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.75533024281473600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.22100000000000017 " "
y[1] (analytic) = 0.8051158569520397 " "
y[1] (numeric) = 0.80511585695204 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.13688172343856300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.22200000000000017 " "
y[1] (analytic) = 0.804359981199598 " "
y[1] (numeric) = 0.8043599811995982 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.7605128315046300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.22300000000000017 " "
y[1] (analytic) = 0.8036053010870753 " "
y[1] (numeric) = 0.8036053010870755 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.763105278482620000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.22400000000000017 " "
y[1] (analytic) = 0.8028518173691516 " "
y[1] (numeric) = 0.802851817369152 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 5.531396955733242000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.22500000000000017 " "
y[1] (analytic) = 0.8020995307993112 " "
y[1] (numeric) = 0.8020995307993114 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.768292417572650000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.22600000000000017 " "
y[1] (analytic) = 0.8013484421298398 " "
y[1] (numeric) = 0.8013484421298401 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.15633062818859600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.22700000000000017 " "
y[1] (analytic) = 0.8005985521118266 " "
y[1] (numeric) = 0.8005985521118268 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.773482469326480000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.22800000000000017 " "
y[1] (analytic) = 0.7998498614951614 " "
y[1] (numeric) = 0.7998498614951616 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.77607855691770400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.22900000000000018 " "
y[1] (analytic) = 0.7991023710285345 " "
y[1] (numeric) = 0.7991023710285348 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.778675335917662000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.23000000000000018 " "
y[1] (analytic) = 0.7983560814594366 " "
y[1] (numeric) = 0.7983560814594368 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.78127279395332200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.23100000000000018 " "
y[1] (analytic) = 0.7976109935341571 " "
y[1] (numeric) = 0.7976109935341573 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.783870918593631700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.23200000000000018 " "
y[1] (analytic) = 0.7968671079977839 " "
y[1] (numeric) = 0.796867107997784 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.393234848674722900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.23300000000000018 " "
y[1] (analytic) = 0.7961244255942023 " "
y[1] (numeric) = 0.7961244255942025 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.789069117673461700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.23400000000000018 " "
y[1] (analytic) = 0.7953829470660949 " "
y[1] (numeric) = 0.795382947066095 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.395834583480074200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.23500000000000018 " "
y[1] (analytic) = 0.7946426731549401 " "
y[1] (numeric) = 0.7946426731549402 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.397134916272844400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.23600000000000018 " "
y[1] (analytic) = 0.7939036046010117 " "
y[1] (numeric) = 0.7939036046010117 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.23700000000000018 " "
y[1] (analytic) = 0.793165742143378 " "
y[1] (numeric) = 0.7931657421433781 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.399736480833113400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.23800000000000018 " "
y[1] (analytic) = 0.7924290865199017 " "
y[1] (numeric) = 0.7924290865199018 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.401037699790785600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.23900000000000018 " "
y[1] (analytic) = 0.7916936384672384 " "
y[1] (numeric) = 0.7916936384672384 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.24000000000000019 " "
y[1] (analytic) = 0.7909593987208358 " "
y[1] (numeric) = 0.7909593987208358 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2410000000000002 " "
y[1] (analytic) = 0.7902263680149335 " "
y[1] (numeric) = 0.7902263680149337 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.80988605180073100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2420000000000002 " "
y[1] (analytic) = 0.7894945470825626 " "
y[1] (numeric) = 0.7894945470825628 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.81249067198193900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2430000000000002 " "
y[1] (analytic) = 0.7887639366555438 " "
y[1] (numeric) = 0.788763936655544 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.815095805045648700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2440000000000002 " "
y[1] (analytic) = 0.7880345374644874 " "
y[1] (numeric) = 0.7880345374644876 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.81770143780072200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2450000000000002 " "
y[1] (analytic) = 0.7873063502387925 " "
y[1] (numeric) = 0.7873063502387927 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.82030755699715200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2460000000000002 " "
y[1] (analytic) = 0.786579375706646 " "
y[1] (numeric) = 0.7865793757066465 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 5.64582829865202600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2470000000000002 " "
y[1] (analytic) = 0.7858536145950232 " "
y[1] (numeric) = 0.7858536145950235 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.82552120141940600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2480000000000002 " "
y[1] (analytic) = 0.7851290676296842 " "
y[1] (numeric) = 0.7851290676296846 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 5.65625739970084500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2490000000000002 " "
y[1] (analytic) = 0.7844057355351767 " "
y[1] (numeric) = 0.7844057355351769 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.830736631133081700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.25000000000000017 " "
y[1] (analytic) = 0.7836836190348323 " "
y[1] (numeric) = 0.7836836190348324 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.416672490861150300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.25100000000000017 " "
y[1] (analytic) = 0.7829627188507673 " "
y[1] (numeric) = 0.7829627188507675 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.835953738013840500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.25200000000000017 " "
y[1] (analytic) = 0.7822430357038821 " "
y[1] (numeric) = 0.7822430357038823 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.838562886344267000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.25300000000000017 " "
y[1] (analytic) = 0.7815245703138597 " "
y[1] (numeric) = 0.7815245703138599 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.841172412990910500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.25400000000000017 " "
y[1] (analytic) = 0.7808073233991655 " "
y[1] (numeric) = 0.7808073233991657 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.84378230417182350000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.25500000000000017 " "
y[1] (analytic) = 0.7800912956770463 " "
y[1] (numeric) = 0.7800912956770465 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.846392546045747000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.25600000000000017 " "
y[1] (analytic) = 0.7793764878635296 " "
y[1] (numeric) = 0.77937648786353 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.27350468706810200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2570000000000002 " "
y[1] (analytic) = 0.7786629006734235 " "
y[1] (numeric) = 0.7786629006734238 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.27742103931618430000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2580000000000002 " "
y[1] (analytic) = 0.7779505348203151 " "
y[1] (numeric) = 0.7779505348203152 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.427112618261246200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2590000000000002 " "
y[1] (analytic) = 0.7772393910165698 " "
y[1] (numeric) = 0.7772393910165699 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.428418370784153800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2600000000000002 " "
y[1] (analytic) = 0.7765294699733314 " "
y[1] (numeric) = 0.7765294699733317 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.289172790814823600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2610000000000002 " "
y[1] (analytic) = 0.7758207724005215 " "
y[1] (numeric) = 0.7758207724005216 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.43103028962467380000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2620000000000002 " "
y[1] (analytic) = 0.7751132990068368 " "
y[1] (numeric) = 0.7751132990068371 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.29700932514395100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2630000000000002 " "
y[1] (analytic) = 0.7744070504997513 " "
y[1] (numeric) = 0.7744070504997516 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.86728542543276600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2640000000000002 " "
y[1] (analytic) = 0.7737020275855132 " "
y[1] (numeric) = 0.7737020275855133 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.434949095441590300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2650000000000002 " "
y[1] (analytic) = 0.7729982309691452 " "
y[1] (numeric) = 0.7729982309691453 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.436255582672183200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2660000000000002 " "
y[1] (analytic) = 0.772295661354444 " "
y[1] (numeric) = 0.7722956613544442 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.437562167160254500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2670000000000002 " "
y[1] (analytic) = 0.771594319443979 " "
y[1] (numeric) = 0.7715943194439793 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.877737683256138500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2680000000000002 " "
y[1] (analytic) = 0.7708942059390924 " "
y[1] (numeric) = 0.7708942059390926 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.8803511975361096000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2690000000000002 " "
y[1] (analytic) = 0.7701953215398973 " "
y[1] (numeric) = 0.7701953215398976 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.88296486248558800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2700000000000002 " "
y[1] (analytic) = 0.7694976669452782 " "
y[1] (numeric) = 0.7694976669452784 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.885578663370030300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2710000000000002 " "
y[1] (analytic) = 0.7688012428528896 " "
y[1] (numeric) = 0.7688012428528899 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.888192585395177300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2720000000000002 " "
y[1] (analytic) = 0.7681060499591557 " "
y[1] (numeric) = 0.7681060499591559 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.890806613707034300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2730000000000002 " "
y[1] (analytic) = 0.7674120889592692 " "
y[1] (numeric) = 0.7674120889592693 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.446710366695933600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2740000000000002 " "
y[1] (analytic) = 0.7667193605471907 " "
y[1] (numeric) = 0.7667193605471909 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.8960349294761900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2750000000000002 " "
y[1] (analytic) = 0.7660278654156492 " "
y[1] (numeric) = 0.7660278654156493 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.4493245934633803000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2760000000000002 " "
y[1] (analytic) = 0.7653376042561392 " "
y[1] (numeric) = 0.7653376042561394 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.901263490650572400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2770000000000002 " "
y[1] (analytic) = 0.7646485777589223 " "
y[1] (numeric) = 0.7646485777589224 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.451938912747427800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2780000000000002 " "
y[1] (analytic) = 0.7639607866130245 " "
y[1] (numeric) = 0.7639607866130247 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.9064921762470700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2790000000000002 " "
y[1] (analytic) = 0.7632742315062372 " "
y[1] (numeric) = 0.7632742315062373 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.454553263817454400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2800000000000002 " "
y[1] (analytic) = 0.7625889131251153 " "
y[1] (numeric) = 0.7625889131251153 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2810000000000002 " "
y[1] (analytic) = 0.7619048321549768 " "
y[1] (numeric) = 0.7619048321549772 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.371502756394105600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2820000000000002 " "
y[1] (analytic) = 0.7612219892799035 " "
y[1] (numeric) = 0.7612219892799037 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.91694943199262800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2830000000000002 " "
y[1] (analytic) = 0.7605403851827377 " "
y[1] (numeric) = 0.7605403851827377 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2840000000000002 " "
y[1] (analytic) = 0.7598600205450832 " "
y[1] (numeric) = 0.7598600205450833 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.4610888776971598000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2850000000000002 " "
y[1] (analytic) = 0.7591808960473047 " "
y[1] (numeric) = 0.7591808960473049 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.92479178653088300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2860000000000002 " "
y[1] (analytic) = 0.7585030123685269 " "
y[1] (numeric) = 0.758503012368527 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.463702854861890500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2870000000000002 " "
y[1] (analytic) = 0.7578263701866335 " "
y[1] (numeric) = 0.7578263701866333 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.46500975461138500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2880000000000002 " "
y[1] (analytic) = 0.7571509701782662 " "
y[1] (numeric) = 0.757150970178266 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.46631658460896100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2890000000000002 " "
y[1] (analytic) = 0.756476813018825 " "
y[1] (numeric) = 0.756476813018825 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2900000000000002 " "
y[1] (analytic) = 0.7558038993824674 " "
y[1] (numeric) = 0.7558038993824673 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.468930003579326200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2910000000000002 " "
y[1] (analytic) = 0.7551322299421064 " "
y[1] (numeric) = 0.7551322299421065 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.470236576593047500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2920000000000002 " "
y[1] (analytic) = 0.7544618053694119 " "
y[1] (numeric) = 0.754461805369412 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.471543047936735800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2930000000000002 " "
y[1] (analytic) = 0.7537926263348085 " "
y[1] (numeric) = 0.7537926263348084 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.472849409556355000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2940000000000002 " "
y[1] (analytic) = 0.7531246935074742 " "
y[1] (numeric) = 0.7531246935074746 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.422466960104284000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2950000000000002 " "
y[1] (analytic) = 0.7524580075553433 " "
y[1] (numeric) = 0.7524580075553433 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2960000000000002 " "
y[1] (analytic) = 0.7517925691451006 " "
y[1] (numeric) = 0.7517925691451005 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.47676775508388480000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2970000000000002 " "
y[1] (analytic) = 0.7511283789421848 " "
y[1] (numeric) = 0.7511283789421845 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.95614719334312800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2980000000000002 " "
y[1] (analytic) = 0.7504654376107855 " "
y[1] (numeric) = 0.7504654376107857 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.479379287818651500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.2990000000000002 " "
y[1] (analytic) = 0.7498037458138449 " "
y[1] (numeric) = 0.749803745813845 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.48068482029268700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3000000000000002 " "
y[1] (analytic) = 0.7491433042130542 " "
y[1] (numeric) = 0.7491433042130543 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.48199018583153800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3010000000000002 " "
y[1] (analytic) = 0.7484841134688551 " "
y[1] (numeric) = 0.7484841134688552 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.48329537614341600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3020000000000002 " "
y[1] (analytic) = 0.7478261742404384 " "
y[1] (numeric) = 0.7478261742404384 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3030000000000002 " "
y[1] (analytic) = 0.7471694871857429 " "
y[1] (numeric) = 0.7471694871857429 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3040000000000002 " "
y[1] (analytic) = 0.7465140529614557 " "
y[1] (numeric) = 0.7465140529614559 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.97441962470994470000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3050000000000002 " "
y[1] (analytic) = 0.7458598722230114 " "
y[1] (numeric) = 0.7458598722230114 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3060000000000002 " "
y[1] (analytic) = 0.74520694562459 " "
y[1] (numeric) = 0.7452069456245902 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.979636814025212000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3070000000000002 " "
y[1] (analytic) = 0.7445552738191186 " "
y[1] (numeric) = 0.7445552738191188 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.982244740354556600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3080000000000002 " "
y[1] (analytic) = 0.743904857458269 " "
y[1] (numeric) = 0.743904857458269 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3090000000000002 " "
y[1] (analytic) = 0.7432556971924569 " "
y[1] (numeric) = 0.743255697192457 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.49372958568480100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3100000000000002 " "
y[1] (analytic) = 0.7426077936708428 " "
y[1] (numeric) = 0.7426077936708431 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.99006564188378900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3110000000000002 " "
y[1] (analytic) = 0.7419611475413307 " "
y[1] (numeric) = 0.7419611475413307 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3120000000000002 " "
y[1] (analytic) = 0.7413157594505659 " "
y[1] (numeric) = 0.7413157594505659 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3130000000000002 " "
y[1] (analytic) = 0.7406716300439369 " "
y[1] (numeric) = 0.7406716300439369 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3140000000000002 " "
y[1] (analytic) = 0.7400287599655728 " "
y[1] (numeric) = 0.7400287599655728 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3150000000000002 " "
y[1] (analytic) = 0.7393871498583438 " "
y[1] (numeric) = 0.7393871498583439 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.501544927901248500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3160000000000002 " "
y[1] (analytic) = 0.73874680036386 " "
y[1] (numeric) = 0.73874680036386 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3170000000000002 " "
y[1] (analytic) = 0.7381077121224704 " "
y[1] (numeric) = 0.7381077121224706 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.00829541919470700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3180000000000002 " "
y[1] (analytic) = 0.7374698857732638 " "
y[1] (numeric) = 0.7374698857732639 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.505448623791665300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.31900000000000023 " "
y[1] (analytic) = 0.7368333219540661 " "
y[1] (numeric) = 0.7368333219540663 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.506749208465313300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.32000000000000023 " "
y[1] (analytic) = 0.7361980213014411 " "
y[1] (numeric) = 0.7361980213014414 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.524148364304969600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.32100000000000023 " "
y[1] (analytic) = 0.7355639844506896 " "
y[1] (numeric) = 0.7355639844506899 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.528048061465072500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.32200000000000023 " "
y[1] (analytic) = 0.7349312120358484 " "
y[1] (numeric) = 0.7349312120358487 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.02129779343485560000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.32300000000000023 " "
y[1] (analytic) = 0.7342997046896897 " "
y[1] (numeric) = 0.7342997046896899 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.51194807451860480000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.32400000000000023 " "
y[1] (analytic) = 0.7336694630437206 " "
y[1] (numeric) = 0.7336694630437209 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.53974063477818400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.32500000000000023 " "
y[1] (analytic) = 0.7330404877281831 " "
y[1] (numeric) = 0.7330404877281834 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.543635896835356000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.32600000000000023 " "
y[1] (analytic) = 0.7324127793720523 " "
y[1] (numeric) = 0.7324127793720526 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.54752998265688500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.32700000000000023 " "
y[1] (analytic) = 0.7317863386030364 " "
y[1] (numeric) = 0.7317863386030368 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.5514228650860600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.32800000000000024 " "
y[1] (analytic) = 0.7311611660475765 " "
y[1] (numeric) = 0.7311611660475766 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.518438172293349600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.32900000000000024 " "
y[1] (analytic) = 0.7305372623308446 " "
y[1] (numeric) = 0.7305372623308447 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.519734970236686600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.33000000000000024 " "
y[1] (analytic) = 0.7299146280767446 " "
y[1] (numeric) = 0.7299146280767447 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.521031339720493600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.33100000000000024 " "
y[1] (analytic) = 0.7292932639079106 " "
y[1] (numeric) = 0.7292932639079107 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.522327271578017300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.33200000000000024 " "
y[1] (analytic) = 0.7286731704457068 " "
y[1] (numeric) = 0.728673170445707 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.047245513228016000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.33300000000000024 " "
y[1] (analytic) = 0.7280543483102266 " "
y[1] (numeric) = 0.7280543483102269 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.04983557120954540000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.33400000000000024 " "
y[1] (analytic) = 0.7274367981202924 " "
y[1] (numeric) = 0.7274367981202924 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.33500000000000024 " "
y[1] (analytic) = 0.7268205204934537 " "
y[1] (numeric) = 0.7268205204934538 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.527506438413988300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.33600000000000024 " "
y[1] (analytic) = 0.7262055160459886 " "
y[1] (numeric) = 0.7262055160459886 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.33700000000000024 " "
y[1] (analytic) = 0.7255917853929013 " "
y[1] (numeric) = 0.7255917853929013 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.33800000000000024 " "
y[1] (analytic) = 0.7249793291479222 " "
y[1] (numeric) = 0.7249793291479223 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.531385765067283200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.33900000000000025 " "
y[1] (analytic) = 0.7243681479235078 " "
y[1] (numeric) = 0.7243681479235079 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.53267786250368700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.34000000000000025 " "
y[1] (analytic) = 0.7237582423308393 " "
y[1] (numeric) = 0.7237582423308393 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.34100000000000025 " "
y[1] (analytic) = 0.723149612979822 " "
y[1] (numeric) = 0.723149612979822 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.34200000000000025 " "
y[1] (analytic) = 0.7225422604790853 " "
y[1] (numeric) = 0.7225422604790854 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.53655098857334300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.34300000000000025 " "
y[1] (analytic) = 0.7219361854359816 " "
y[1] (numeric) = 0.7219361854359818 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.07568188718698500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.34400000000000025 " "
y[1] (analytic) = 0.7213313884565862 " "
y[1] (numeric) = 0.7213313884565863 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.539130339247639600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.34500000000000025 " "
y[1] (analytic) = 0.7207278701456956 " "
y[1] (numeric) = 0.7207278701456957 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.540419165975535400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.34600000000000025 " "
y[1] (analytic) = 0.7201256311068281 " "
y[1] (numeric) = 0.7201256311068284 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.083414828378629500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.34700000000000025 " "
y[1] (analytic) = 0.7195246719422232 " "
y[1] (numeric) = 0.7195246719422232 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.34800000000000025 " "
y[1] (analytic) = 0.7189249932528394 " "
y[1] (numeric) = 0.7189249932528395 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.544282136585424200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.34900000000000025 " "
y[1] (analytic) = 0.7183265956383558 " "
y[1] (numeric) = 0.7183265956383558 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.35000000000000026 " "
y[1] (analytic) = 0.7177294796971694 " "
y[1] (numeric) = 0.7177294796971696 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.09370885836705900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.35100000000000026 " "
y[1] (analytic) = 0.7171336460263968 " "
y[1] (numeric) = 0.7171336460263968 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.35200000000000026 " "
y[1] (analytic) = 0.7165390952218711 " "
y[1] (numeric) = 0.7165390952218712 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.549424214294105300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.35300000000000026 " "
y[1] (analytic) = 0.7159458278781433 " "
y[1] (numeric) = 0.7159458278781433 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.35400000000000026 " "
y[1] (analytic) = 0.7153538445884806 " "
y[1] (numeric) = 0.7153538445884806 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.35500000000000026 " "
y[1] (analytic) = 0.7147631459448662 " "
y[1] (numeric) = 0.7147631459448662 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.35600000000000026 " "
y[1] (analytic) = 0.7141737325379989 " "
y[1] (numeric) = 0.7141737325379989 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.35700000000000026 " "
y[1] (analytic) = 0.7135856049572917 " "
y[1] (numeric) = 0.7135856049572917 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.35800000000000026 " "
y[1] (analytic) = 0.7129987637908726 " "
y[1] (numeric) = 0.7129987637908725 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.557117741301993000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.35900000000000026 " "
y[1] (analytic) = 0.7124132096255822 " "
y[1] (numeric) = 0.7124132096255822 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.36000000000000026 " "
y[1] (analytic) = 0.711828943046975 " "
y[1] (numeric) = 0.711828943046975 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.36100000000000027 " "
y[1] (analytic) = 0.7112459646393172 " "
y[1] (numeric) = 0.7112459646393173 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.560955112326248600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.36200000000000027 " "
y[1] (analytic) = 0.7106642749855877 " "
y[1] (numeric) = 0.7106642749855877 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.36300000000000027 " "
y[1] (analytic) = 0.7100838746674756 " "
y[1] (numeric) = 0.7100838746674756 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.36400000000000027 " "
y[1] (analytic) = 0.7095047642653813 " "
y[1] (numeric) = 0.7095047642653813 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.36500000000000027 " "
y[1] (analytic) = 0.7089269443584152 " "
y[1] (numeric) = 0.7089269443584153 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.56606126126284800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.36600000000000027 " "
y[1] (analytic) = 0.7083504155243974 " "
y[1] (numeric) = 0.7083504155243973 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.5673358838975900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.36700000000000027 " "
y[1] (analytic) = 0.7077751783398563 " "
y[1] (numeric) = 0.7077751783398561 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.568609720433081800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.36800000000000027 " "
y[1] (analytic) = 0.7072012333800292 " "
y[1] (numeric) = 0.7072012333800289 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.139765521388890000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.36900000000000027 " "
y[1] (analytic) = 0.7066285812188607 " "
y[1] (numeric) = 0.7066285812188606 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.571154994481170600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3700000000000003 " "
y[1] (analytic) = 0.7060572224290034 " "
y[1] (numeric) = 0.7060572224290034 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3710000000000003 " "
y[1] (analytic) = 0.7054871575818158 " "
y[1] (numeric) = 0.7054871575818158 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3720000000000003 " "
y[1] (analytic) = 0.704918387247363 " "
y[1] (numeric) = 0.7049183872473628 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.149933509212231600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3730000000000003 " "
y[1] (analytic) = 0.7043509119944147 " "
y[1] (numeric) = 0.7043509119944146 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.57623565998017800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3740000000000003 " "
y[1] (analytic) = 0.7037847323904465 " "
y[1] (numeric) = 0.7037847323904465 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3750000000000003 " "
y[1] (analytic) = 0.7032198490016381 " "
y[1] (numeric) = 0.7032198490016379 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.15754177360420440000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3760000000000003 " "
y[1] (analytic) = 0.7026562623928723 " "
y[1] (numeric) = 0.7026562623928723 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3770000000000003 " "
y[1] (analytic) = 0.7020939731277362 " "
y[1] (numeric) = 0.7020939731277361 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.58130259925072320000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3780000000000003 " "
y[1] (analytic) = 0.7015329817685187 " "
y[1] (numeric) = 0.7015329817685187 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3790000000000003 " "
y[1] (analytic) = 0.7009732888762115 " "
y[1] (numeric) = 0.7009732888762114 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.58383071401343580000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3800000000000003 " "
y[1] (analytic) = 0.700414895010507 " "
y[1] (numeric) = 0.7004148950105068 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.17018679223976800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3810000000000003 " "
y[1] (analytic) = 0.6998578007297991 " "
y[1] (numeric) = 0.699857800729799 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.586355147384848600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3820000000000003 " "
y[1] (analytic) = 0.6993020065911822 " "
y[1] (numeric) = 0.699302006591182 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.17523191456878600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3830000000000003 " "
y[1] (analytic) = 0.6987475131504503 " "
y[1] (numeric) = 0.6987475131504501 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.588875815270500700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3840000000000003 " "
y[1] (analytic) = 0.6981943209620968 " "
y[1] (numeric) = 0.6981943209620967 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.590134710771197700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3850000000000003 " "
y[1] (analytic) = 0.6976424305793139 " "
y[1] (numeric) = 0.6976424305793137 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.591392633190674400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3860000000000003 " "
y[1] (analytic) = 0.6970918425539918 " "
y[1] (numeric) = 0.6970918425539917 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.592649571909409400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3870000000000003 " "
y[1] (analytic) = 0.6965425574367188 " "
y[1] (numeric) = 0.6965425574367186 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.1878110325685900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3880000000000003 " "
y[1] (analytic) = 0.6959945757767796 " "
y[1] (numeric) = 0.6959945757767794 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.1903209112975300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3890000000000003 " "
y[1] (analytic) = 0.6954478981221559 " "
y[1] (numeric) = 0.6954478981221557 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.192828758625840000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3900000000000003 " "
y[1] (analytic) = 0.6949025250195254 " "
y[1] (numeric) = 0.6949025250195252 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.19533455312732250000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3910000000000003 " "
y[1] (analytic) = 0.6943584570142609 " "
y[1] (numeric) = 0.6943584570142609 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3920000000000003 " "
y[1] (analytic) = 0.693815694650431 " "
y[1] (numeric) = 0.6938156946504308 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.20033989771455500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3930000000000003 " "
y[1] (analytic) = 0.6932742384707975 " "
y[1] (numeric) = 0.6932742384707972 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.80425910707738770000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3940000000000003 " "
y[1] (analytic) = 0.6927340890168164 " "
y[1] (numeric) = 0.6927340890168162 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.205336772731579600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3950000000000003 " "
y[1] (analytic) = 0.6921952468286376 " "
y[1] (numeric) = 0.6921952468286373 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.81174797015042450000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3960000000000003 " "
y[1] (analytic) = 0.6916577124451029 " "
y[1] (numeric) = 0.6916577124451025 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.81548750768802600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3970000000000003 " "
y[1] (analytic) = 0.6911214864037467 " "
y[1] (numeric) = 0.6911214864037464 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.81922373909487100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3980000000000003 " "
y[1] (analytic) = 0.6905865692407951 " "
y[1] (numeric) = 0.6905865692407948 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.822956631689321300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.3990000000000003 " "
y[1] (analytic) = 0.690052961491165 " "
y[1] (numeric) = 0.6900529614911647 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.8266861527238200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4000000000000003 " "
y[1] (analytic) = 0.6895206636884641 " "
y[1] (numeric) = 0.689520663688464 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.61013742312844180000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4010000000000003 " "
y[1] (analytic) = 0.6889896763649908 " "
y[1] (numeric) = 0.6889896763649904 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.834134948795742500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4020000000000003 " "
y[1] (analytic) = 0.6884600000517314 " "
y[1] (numeric) = 0.6884600000517312 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.612618052670792300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4030000000000003 " "
y[1] (analytic) = 0.6879316352783629 " "
y[1] (numeric) = 0.6879316352783627 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.22771324268557200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4040000000000003 " "
y[1] (analytic) = 0.6874045825732499 " "
y[1] (numeric) = 0.6874045825732495 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.845282033773106000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4050000000000003 " "
y[1] (analytic) = 0.6868788424634447 " "
y[1] (numeric) = 0.6868788424634444 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.23266042274185200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4060000000000003 " "
y[1] (analytic) = 0.6863544154746876 " "
y[1] (numeric) = 0.6863544154746875 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.617565210616906400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4070000000000003 " "
y[1] (analytic) = 0.6858313021314058 " "
y[1] (numeric) = 0.6858313021314055 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.23759799581861900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4080000000000003 " "
y[1] (analytic) = 0.6853095029567122 " "
y[1] (numeric) = 0.6853095029567119 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.86009468642353300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4090000000000003 " "
y[1] (analytic) = 0.684789018472406 " "
y[1] (numeric) = 0.6847890184724058 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.24252578437016400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4100000000000003 " "
y[1] (analytic) = 0.6842698491989718 " "
y[1] (numeric) = 0.6842698491989716 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.244985953786563000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4110000000000003 " "
y[1] (analytic) = 0.6837519956555789 " "
y[1] (numeric) = 0.6837519956555785 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.871165415293649500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4120000000000003 " "
y[1] (analytic) = 0.6832354583600805 " "
y[1] (numeric) = 0.6832354583600802 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.87484809683301270000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4130000000000003 " "
y[1] (analytic) = 0.682720237829014 " "
y[1] (numeric) = 0.6827202378290137 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.878526941674796000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4140000000000003 " "
y[1] (analytic) = 0.6822063345775999 " "
y[1] (numeric) = 0.6822063345775996 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.88220191613687070000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4150000000000003 " "
y[1] (analytic) = 0.6816937491197416 " "
y[1] (numeric) = 0.6816937491197411 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.51449731530480900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4160000000000003 " "
y[1] (analytic) = 0.6811824819680241 " "
y[1] (numeric) = 0.6811824819680237 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.5193868252018390000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4170000000000003 " "
y[1] (analytic) = 0.6806725336337147 " "
y[1] (numeric) = 0.6806725336337144 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.89320327954907300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4180000000000003 " "
y[1] (analytic) = 0.680163904626762 " "
y[1] (numeric) = 0.6801639046267615 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.16143739084763800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4190000000000003 " "
y[1] (analytic) = 0.6796565954557945 " "
y[1] (numeric) = 0.6796565954557939 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.16752924968390500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4200000000000003 " "
y[1] (analytic) = 0.6791506066281214 " "
y[1] (numeric) = 0.679150606628121 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.53889145523843900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4210000000000003 " "
y[1] (analytic) = 0.6786459386497317 " "
y[1] (numeric) = 0.6786459386497313 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.90781552528309200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4220000000000003 " "
y[1] (analytic) = 0.6781425920252933 " "
y[1] (numeric) = 0.6781425920252929 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.911458317237273300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4230000000000003 " "
y[1] (analytic) = 0.6776405672581525 " "
y[1] (numeric) = 0.6776405672581522 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.27673128873410050000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4240000000000003 " "
y[1] (analytic) = 0.6771398648503346 " "
y[1] (numeric) = 0.6771398648503342 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.55830845150754500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4250000000000003 " "
y[1] (analytic) = 0.6766404853025414 " "
y[1] (numeric) = 0.6766404853025411 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.92236149952844100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4260000000000003 " "
y[1] (analytic) = 0.6761424291141527 " "
y[1] (numeric) = 0.6761424291141523 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.925987381444383300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4270000000000003 " "
y[1] (analytic) = 0.6756456967832246 " "
y[1] (numeric) = 0.6756456967832242 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.5728119333015600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4280000000000003 " "
y[1] (analytic) = 0.6751502888064892 " "
y[1] (numeric) = 0.6751502888064889 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.93322617066983500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4290000000000003 " "
y[1] (analytic) = 0.6746562056793546 " "
y[1] (numeric) = 0.6746562056793544 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.29122600601354230000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4300000000000003 " "
y[1] (analytic) = 0.6741634478959039 " "
y[1] (numeric) = 0.6741634478959037 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.29363162031467370000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4310000000000003 " "
y[1] (analytic) = 0.6736720159488949 " "
y[1] (numeric) = 0.6736720159488946 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.94405140041936300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.43200000000000033 " "
y[1] (analytic) = 0.6731819103297594 " "
y[1] (numeric) = 0.673181910329759 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.947650884207413500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.43300000000000033 " "
y[1] (analytic) = 0.6726931315286031 " "
y[1] (numeric) = 0.6726931315286027 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.60166112950983500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.43400000000000033 " "
y[1] (analytic) = 0.6722056800342044 " "
y[1] (numeric) = 0.6722056800342041 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.9548362544422300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.43500000000000033 " "
y[1] (analytic) = 0.671719556334015 " "
y[1] (numeric) = 0.6717195563340149 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.652807357112428500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.43600000000000033 " "
y[1] (analytic) = 0.6712347609141587 " "
y[1] (numeric) = 0.6712347609141587 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.43700000000000033 " "
y[1] (analytic) = 0.670751294259431 " "
y[1] (numeric) = 0.6707512942594308 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.31038652963298760000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.43800000000000033 " "
y[1] (analytic) = 0.6702691568532979 " "
y[1] (numeric) = 0.6702691568532979 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.43900000000000033 " "
y[1] (analytic) = 0.6697883491778973 " "
y[1] (numeric) = 0.6697883491778973 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.44000000000000034 " "
y[1] (analytic) = 0.6693088717140369 " "
y[1] (numeric) = 0.6693088717140366 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.317520718893147700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.44100000000000034 " "
y[1] (analytic) = 0.6688307249411938 " "
y[1] (numeric) = 0.6688307249411934 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.97983861935815700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.44200000000000034 " "
y[1] (analytic) = 0.6683539093375145 " "
y[1] (numeric) = 0.6683539093375144 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.661130441693131600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.44300000000000034 " "
y[1] (analytic) = 0.667878425379815 " "
y[1] (numeric) = 0.667878425379815 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.44400000000000034 " "
y[1] (analytic) = 0.6674042735435792 " "
y[1] (numeric) = 0.6674042735435792 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.44500000000000034 " "
y[1] (analytic) = 0.6669314543029587 " "
y[1] (numeric) = 0.6669314543029589 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.664673359551623600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.44600000000000034 " "
y[1] (analytic) = 0.6664599681307732 " "
y[1] (numeric) = 0.666459968130773 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.33170206078246500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.44700000000000034 " "
y[1] (analytic) = 0.665989815498508 " "
y[1] (numeric) = 0.665989815498508 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.44800000000000034 " "
y[1] (analytic) = 0.6655209968763165 " "
y[1] (numeric) = 0.6655209968763163 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.33640269754399800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.44900000000000034 " "
y[1] (analytic) = 0.6650535127330164 " "
y[1] (numeric) = 0.6650535127330165 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.669373972723984500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.45000000000000034 " "
y[1] (analytic) = 0.6645873635360927 " "
y[1] (numeric) = 0.6645873635360927 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.45100000000000035 " "
y[1] (analytic) = 0.6641225497516943 " "
y[1] (numeric) = 0.6641225497516942 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.671714091081913700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.45200000000000035 " "
y[1] (analytic) = 0.6636590718446345 " "
y[1] (numeric) = 0.6636590718446345 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.45300000000000035 " "
y[1] (analytic) = 0.6631969302783914 " "
y[1] (numeric) = 0.6631969302783915 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.674047291140379800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.45400000000000035 " "
y[1] (analytic) = 0.6627361255151069 " "
y[1] (numeric) = 0.662736125515107 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.675211267172502200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.45500000000000035 " "
y[1] (analytic) = 0.6622766580155854 " "
y[1] (numeric) = 0.6622766580155854 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.45600000000000035 " "
y[1] (analytic) = 0.6618185282392943 " "
y[1] (numeric) = 0.6618185282392944 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.67753391186976900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.45700000000000035 " "
y[1] (analytic) = 0.6613617366443637 " "
y[1] (numeric) = 0.6613617366443637 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.45800000000000035 " "
y[1] (analytic) = 0.6609062836875848 " "
y[1] (numeric) = 0.6609062836875848 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.45900000000000035 " "
y[1] (analytic) = 0.6604521698244106 " "
y[1] (numeric) = 0.6604521698244105 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.681004432039829900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.46000000000000035 " "
y[1] (analytic) = 0.6599993955089549 " "
y[1] (numeric) = 0.6599993955089548 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.682157638597553700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.46100000000000035 " "
y[1] (analytic) = 0.659547961193992 " "
y[1] (numeric) = 0.659547961193992 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.46200000000000035 " "
y[1] (analytic) = 0.6590978673309562 " "
y[1] (numeric) = 0.6590978673309562 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.46300000000000036 " "
y[1] (analytic) = 0.6586491143699413 " "
y[1] (numeric) = 0.6586491143699413 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.46400000000000036 " "
y[1] (analytic) = 0.6582017027597005 " "
y[1] (numeric) = 0.6582017027597004 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.686751978869435200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.46500000000000036 " "
y[1] (analytic) = 0.6577556329476447 " "
y[1] (numeric) = 0.6577556329476448 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.687895882624127500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.46600000000000036 " "
y[1] (analytic) = 0.6573109053798443 " "
y[1] (numeric) = 0.6573109053798445 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.378075779782126500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.46700000000000036 " "
y[1] (analytic) = 0.6568675205010268 " "
y[1] (numeric) = 0.6568675205010268 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.46800000000000036 " "
y[1] (analytic) = 0.6564254787545767 " "
y[1] (numeric) = 0.6564254787545768 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.691316166964696700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.46900000000000036 " "
y[1] (analytic) = 0.6559847805825358 " "
y[1] (numeric) = 0.6559847805825361 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.384904825502940700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.47000000000000036 " "
y[1] (analytic) = 0.6555454264256025 " "
y[1] (numeric) = 0.6555454264256027 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.69358671401112300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.47100000000000036 " "
y[1] (analytic) = 0.6551074167231308 " "
y[1] (numeric) = 0.6551074167231308 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.47200000000000036 " "
y[1] (analytic) = 0.6546707519131301 " "
y[1] (numeric) = 0.6546707519131302 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.69584943482013800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.47300000000000036 " "
y[1] (analytic) = 0.6542354324322655 " "
y[1] (numeric) = 0.6542354324322656 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.696977830286042500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.47400000000000037 " "
y[1] (analytic) = 0.6538014587158563 " "
y[1] (numeric) = 0.6538014587158564 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.698104233058406500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.47500000000000037 " "
y[1] (analytic) = 0.653368831197876 " "
y[1] (numeric) = 0.6533688311978763 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.39845726215525560000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.47600000000000037 " "
y[1] (analytic) = 0.6529375503109527 " "
y[1] (numeric) = 0.6529375503109527 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.47700000000000037 " "
y[1] (analytic) = 0.6525076164863665 " "
y[1] (numeric) = 0.6525076164863666 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.701471364584988800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.47800000000000037 " "
y[1] (analytic) = 0.6520790301540518 " "
y[1] (numeric) = 0.6520790301540517 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.70258967592144400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.47900000000000037 " "
y[1] (analytic) = 0.6516517917425944 " "
y[1] (numeric) = 0.6516517917425942 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.703705934201896800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.48000000000000037 " "
y[1] (analytic) = 0.6512259016792326 " "
y[1] (numeric) = 0.6512259016792328 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.409640254671588000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.48100000000000037 " "
y[1] (analytic) = 0.650801360389857 " "
y[1] (numeric) = 0.6508013603898573 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.41186448645432100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4820000000000004 " "
y[1] (analytic) = 0.6503781682990089 " "
y[1] (numeric) = 0.6503781682990089 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4830000000000004 " "
y[1] (analytic) = 0.6499563258298798 " "
y[1] (numeric) = 0.6499563258298797 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.708150194872858600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4840000000000004 " "
y[1] (analytic) = 0.6495358334043123 " "
y[1] (numeric) = 0.6495358334043122 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.70925600641047800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4850000000000004 " "
y[1] (analytic) = 0.6491166914427988 " "
y[1] (numeric) = 0.6491166914427988 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4860000000000004 " "
y[1] (analytic) = 0.6486989003644814 " "
y[1] (numeric) = 0.6486989003644814 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4870000000000004 " "
y[1] (analytic) = 0.6482824605871511 " "
y[1] (numeric) = 0.648282460587151 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.712560638490241700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4880000000000004 " "
y[1] (analytic) = 0.6478673725272472 " "
y[1] (numeric) = 0.6478673725272474 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.713657874596029300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4890000000000004 " "
y[1] (analytic) = 0.6474536365998587 " "
y[1] (numeric) = 0.6474536365998586 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.714752936527716200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4900000000000004 " "
y[1] (analytic) = 0.6470412532187203 " "
y[1] (numeric) = 0.6470412532187204 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.71584581215236100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4910000000000004 " "
y[1] (analytic) = 0.6466302227962162 " "
y[1] (numeric) = 0.6466302227962163 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.716936489334245600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4920000000000004 " "
y[1] (analytic) = 0.6462205457433765 " "
y[1] (numeric) = 0.6462205457433766 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.718024955935155400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4930000000000004 " "
y[1] (analytic) = 0.6458122224698782 " "
y[1] (numeric) = 0.6458122224698783 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.719111199814647400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4940000000000004 " "
y[1] (analytic) = 0.6454052533840444 " "
y[1] (numeric) = 0.6454052533840448 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.16058562649098200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4950000000000004 " "
y[1] (analytic) = 0.644999638892845 " "
y[1] (numeric) = 0.644999638892845 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4960000000000004 " "
y[1] (analytic) = 0.6445953794018933 " "
y[1] (numeric) = 0.6445953794018933 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4970000000000004 " "
y[1] (analytic) = 0.6441924753154493 " "
y[1] (numeric) = 0.6441924753154492 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.723433705247023600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4980000000000004 " "
y[1] (analytic) = 0.6437909270364169 " "
y[1] (numeric) = 0.6437909270364169 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.4990000000000004 " "
y[1] (analytic) = 0.6433907349663444 " "
y[1] (numeric) = 0.6433907349663446 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.45116261173152300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5000000000000003 " "
y[1] (analytic) = 0.6429918995054242 " "
y[1] (numeric) = 0.6429918995054242 " "
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) = 0.642594421052491 " "
y[1] (numeric) = 0.6425944210524913 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.183159026529115000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5020000000000003 " "
y[1] (analytic) = 0.6421983000050242 " "
y[1] (numeric) = 0.6421983000050242 " "
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) = 0.6418035367591438 " "
y[1] (numeric) = 0.6418035367591439 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.729848716994218000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5040000000000003 " "
y[1] (analytic) = 0.6414101317096134 " "
y[1] (numeric) = 0.6414101317096137 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.19272912792616900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5050000000000003 " "
y[1] (analytic) = 0.6410180852498382 " "
y[1] (numeric) = 0.6410180852498385 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.19590499943123200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5060000000000003 " "
y[1] (analytic) = 0.6406273977718646 " "
y[1] (numeric) = 0.6406273977718648 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.466049152710515000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5070000000000003 " "
y[1] (analytic) = 0.6402380696663801 " "
y[1] (numeric) = 0.6402380696663801 " "
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) = 0.6398501013227125 " "
y[1] (numeric) = 0.6398501013227124 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.73512987234053500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5090000000000003 " "
y[1] (analytic) = 0.6394634931288301 " "
y[1] (numeric) = 0.63946349312883 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.736178900835992600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5100000000000003 " "
y[1] (analytic) = 0.6390782454713411 " "
y[1] (numeric) = 0.6390782454713412 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.737225500151911600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5110000000000003 " "
y[1] (analytic) = 0.6386943587354934 " "
y[1] (numeric) = 0.6386943587354934 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5120000000000003 " "
y[1] (analytic) = 0.6383118333051734 " "
y[1] (numeric) = 0.6383118333051735 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.739311362718173300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5130000000000003 " "
y[1] (analytic) = 0.6379306695629068 " "
y[1] (numeric) = 0.6379306695629068 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5140000000000003 " "
y[1] (analytic) = 0.6375508678898569 " "
y[1] (numeric) = 0.637550867889857 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.74138736301894300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5150000000000003 " "
y[1] (analytic) = 0.6371724286658256 " "
y[1] (numeric) = 0.6371724286658258 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.48484326903425800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5160000000000003 " "
y[1] (analytic) = 0.6367953522692522 " "
y[1] (numeric) = 0.6367953522692523 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.74345340409414300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5170000000000003 " "
y[1] (analytic) = 0.636419639077213 " "
y[1] (numeric) = 0.636419639077213 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5180000000000003 " "
y[1] (analytic) = 0.6360452894654212 " "
y[1] (numeric) = 0.6360452894654209 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.491018778107039500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5190000000000003 " "
y[1] (analytic) = 0.6356723038082259 " "
y[1] (numeric) = 0.6356723038082258 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.746533580233026000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5200000000000004 " "
y[1] (analytic) = 0.6353006824786132 " "
y[1] (numeric) = 0.6353006824786132 " "
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) = 0.6349304258482044 " "
y[1] (numeric) = 0.6349304258482044 " "
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) = 0.634561534287256 " "
y[1] (numeric) = 0.6345615342872559 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.74959080347056800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5230000000000004 " "
y[1] (analytic) = 0.6341940081646593 " "
y[1] (numeric) = 0.6341940081646594 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.750604720845774800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5240000000000004 " "
y[1] (analytic) = 0.6338278478479409 " "
y[1] (numeric) = 0.6338278478479409 " "
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) = 0.6334630537032608 " "
y[1] (numeric) = 0.6334630537032607 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.75262474762297480000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5260000000000004 " "
y[1] (analytic) = 0.633099626095413 " "
y[1] (numeric) = 0.6330996260954129 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.753630832910707300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5270000000000004 " "
y[1] (analytic) = 0.6327375653878252 " "
y[1] (numeric) = 0.6327375653878251 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.754634283400994300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5280000000000004 " "
y[1] (analytic) = 0.6323768719425579 " "
y[1] (numeric) = 0.632376871942558 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.75563508705613100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5290000000000004 " "
y[1] (analytic) = 0.6320175461203049 " "
y[1] (numeric) = 0.6320175461203049 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5300000000000004 " "
y[1] (analytic) = 0.6316595882803919 " "
y[1] (numeric) = 0.6316595882803918 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.757628705752079200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5310000000000004 " "
y[1] (analytic) = 0.6313029987807764 " "
y[1] (numeric) = 0.6313029987807763 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.75862149676036600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5320000000000004 " "
y[1] (analytic) = 0.6309477779780481 " "
y[1] (numeric) = 0.630947777978048 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.759611592869074500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5330000000000004 " "
y[1] (analytic) = 0.6305939262274279 " "
y[1] (numeric) = 0.6305939262274277 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.52119796417051800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5340000000000004 " "
y[1] (analytic) = 0.6302414438827671 " "
y[1] (numeric) = 0.630241443882767 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.761583652425866300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5350000000000004 " "
y[1] (analytic) = 0.6298903312965485 " "
y[1] (numeric) = 0.6298903312965483 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.525131183836096600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5360000000000004 " "
y[1] (analytic) = 0.6295405888198842 " "
y[1] (numeric) = 0.6295405888198841 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.76354478859948300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5370000000000004 " "
y[1] (analytic) = 0.6291922168025169 " "
y[1] (numeric) = 0.6291922168025168 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.764521230518685300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5380000000000004 " "
y[1] (analytic) = 0.6288452155928187 " "
y[1] (numeric) = 0.6288452155928186 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.765494905735329700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5390000000000004 " "
y[1] (analytic) = 0.6284995855377904 " "
y[1] (numeric) = 0.6284995855377905 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.766465802320566800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5400000000000004 " "
y[1] (analytic) = 0.6281553269830626 " "
y[1] (numeric) = 0.6281553269830625 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.76743390835733900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5410000000000004 " "
y[1] (analytic) = 0.6278124402728933 " "
y[1] (numeric) = 0.6278124402728933 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5420000000000004 " "
y[1] (analytic) = 0.6274709257501695 " "
y[1] (numeric) = 0.6274709257501694 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.76936170117816300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5430000000000004 " "
y[1] (analytic) = 0.6271307837564055 " "
y[1] (numeric) = 0.6271307837564054 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.770321364189956500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5440000000000004 " "
y[1] (analytic) = 0.6267920146317432 " "
y[1] (numeric) = 0.6267920146317433 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.77127818910941600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5450000000000004 " "
y[1] (analytic) = 0.626454618714952 " "
y[1] (numeric) = 0.626454618714952 " "
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) = 0.6261185963434277 " "
y[1] (numeric) = 0.6261185963434276 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.773183277271956600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5470000000000004 " "
y[1] (analytic) = 0.6257839478531925 " "
y[1] (numeric) = 0.6257839478531924 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.774131516849985500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5480000000000004 " "
y[1] (analytic) = 0.6254506735788951 " "
y[1] (numeric) = 0.6254506735788947 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.325230613018654000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5490000000000004 " "
y[1] (analytic) = 0.6251187738538091 " "
y[1] (numeric) = 0.625118773853809 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.776019327944219400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5500000000000004 " "
y[1] (analytic) = 0.6247882490098349 " "
y[1] (numeric) = 0.6247882490098349 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5510000000000004 " "
y[1] (analytic) = 0.6244590993774972 " "
y[1] (numeric) = 0.6244590993774971 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.777895503055206500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5520000000000004 " "
y[1] (analytic) = 0.6241313252859454 " "
y[1] (numeric) = 0.6241313252859453 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.77882919771172900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5530000000000004 " "
y[1] (analytic) = 0.6238049270629537 " "
y[1] (numeric) = 0.6238049270629535 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.779759948117745600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5540000000000004 " "
y[1] (analytic) = 0.6234799050349203 " "
y[1] (numeric) = 0.6234799050349201 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.5613754851103800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5550000000000004 " "
y[1] (analytic) = 0.6231562595268672 " "
y[1] (numeric) = 0.6231562595268669 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.56322513864530900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5560000000000004 " "
y[1] (analytic) = 0.6228339908624395 " "
y[1] (numeric) = 0.6228339908624394 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.782534416735715400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5570000000000004 " "
y[1] (analytic) = 0.6225130993639065 " "
y[1] (numeric) = 0.6225130993639063 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.56690654625452700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5580000000000004 " "
y[1] (analytic) = 0.6221935853521592 " "
y[1] (numeric) = 0.6221935853521591 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.784369126847835700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5590000000000004 " "
y[1] (analytic) = 0.6218754491467119 " "
y[1] (numeric) = 0.6218754491467117 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.570563932531880500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5600000000000004 " "
y[1] (analytic) = 0.6215586910657004 " "
y[1] (numeric) = 0.6215586910657003 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.786191779768393800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5610000000000004 " "
y[1] (analytic) = 0.6212433114258828 " "
y[1] (numeric) = 0.621243311425883 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.78709855576064600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5620000000000004 " "
y[1] (analytic) = 0.6209293105426392 " "
y[1] (numeric) = 0.6209293105426393 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.788002282667114600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5630000000000004 " "
y[1] (analytic) = 0.6206166887299701 " "
y[1] (numeric) = 0.6206166887299702 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.788902948931516400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5640000000000004 " "
y[1] (analytic) = 0.6203054463004973 " "
y[1] (numeric) = 0.6203054463004974 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.789800543017199500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5650000000000004 " "
y[1] (analytic) = 0.6199955835654631 " "
y[1] (numeric) = 0.6199955835654634 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.58139010681495300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5660000000000004 " "
y[1] (analytic) = 0.6196871008347306 " "
y[1] (numeric) = 0.6196871008347307 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.791586468605953800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5670000000000004 " "
y[1] (analytic) = 0.6193799984167823 " "
y[1] (numeric) = 0.6193799984167822 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.7924747771368700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5680000000000004 " "
y[1] (analytic) = 0.61907427661872 " "
y[1] (numeric) = 0.6190742766187202 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.793359967545427300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5690000000000004 " "
y[1] (analytic) = 0.6187699357462665 " "
y[1] (numeric) = 0.6187699357462665 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5700000000000004 " "
y[1] (analytic) = 0.6184669761037619 " "
y[1] (numeric) = 0.618466976103762 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.795120948283084000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5710000000000004 " "
y[1] (analytic) = 0.6181653979941661 " "
y[1] (numeric) = 0.6181653979941663 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.795996715810408700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5720000000000004 " "
y[1] (analytic) = 0.6178652017190572 " "
y[1] (numeric) = 0.6178652017190573 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.796869319612490500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5730000000000004 " "
y[1] (analytic) = 0.6175663875786314 " "
y[1] (numeric) = 0.6175663875786316 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.5954774966887200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5740000000000004 " "
y[1] (analytic) = 0.6172689558717029 " "
y[1] (numeric) = 0.6172689558717029 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5750000000000004 " "
y[1] (analytic) = 0.616972906895703 " "
y[1] (numeric) = 0.6169729068957033 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.59893607066553270000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5760000000000004 " "
y[1] (analytic) = 0.6166782409466813 " "
y[1] (numeric) = 0.6166782409466814 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.800327871015555400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5770000000000004 " "
y[1] (analytic) = 0.6163849583193034 " "
y[1] (numeric) = 0.6163849583193034 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5780000000000004 " "
y[1] (analytic) = 0.6160930593068515 " "
y[1] (numeric) = 0.6160930593068518 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.60407574100651700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5790000000000004 " "
y[1] (analytic) = 0.6158025442012252 " "
y[1] (numeric) = 0.6158025442012255 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.408664035637876000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5800000000000004 " "
y[1] (analytic) = 0.6155134132929395 " "
y[1] (numeric) = 0.6155134132929396 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.80373489943227500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5810000000000004 " "
y[1] (analytic) = 0.6152256668711249 " "
y[1] (numeric) = 0.6152256668711251 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.60915704402079760000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5820000000000004 " "
y[1] (analytic) = 0.6149393052235281 " "
y[1] (numeric) = 0.6149393052235284 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.61083773697501600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5830000000000004 " "
y[1] (analytic) = 0.6146543286365107 " "
y[1] (numeric) = 0.6146543286365109 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.61251185552688500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5840000000000004 " "
y[1] (analytic) = 0.6143707373950491 " "
y[1] (numeric) = 0.6143707373950494 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.42126906629311400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5850000000000004 " "
y[1] (analytic) = 0.6140885317827348 " "
y[1] (numeric) = 0.614088531782735 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.61584028088625700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5860000000000004 " "
y[1] (analytic) = 0.6138077120817729 " "
y[1] (numeric) = 0.6138077120817733 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.23498908711821400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5870000000000004 " "
y[1] (analytic) = 0.6135282785729836 " "
y[1] (numeric) = 0.6135282785729841 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.23828428712328700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5880000000000004 " "
y[1] (analytic) = 0.6132502315358006 " "
y[1] (numeric) = 0.6132502315358007 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.810391529481784600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5890000000000004 " "
y[1] (analytic) = 0.6129735712482701 " "
y[1] (numeric) = 0.6129735712482702 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.811208633945308500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5900000000000004 " "
y[1] (analytic) = 0.6126982979870527 " "
y[1] (numeric) = 0.6126982979870529 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.62404474852521100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5910000000000004 " "
y[1] (analytic) = 0.6124244120274217 " "
y[1] (numeric) = 0.612424412027422 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.438498218660717000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5920000000000004 " "
y[1] (analytic) = 0.6121519136432632 " "
y[1] (numeric) = 0.6121519136432635 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.440919156901379000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5930000000000004 " "
y[1] (analytic) = 0.6118808031070753 " "
y[1] (numeric) = 0.6118808031070756 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.44332990504463300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5940000000000004 " "
y[1] (analytic) = 0.6116110806899686 " "
y[1] (numeric) = 0.611611080689969 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.44573043071438000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5950000000000004 " "
y[1] (analytic) = 0.6113427466616657 " "
y[1] (numeric) = 0.6113427466616659 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.632080467749740000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5960000000000004 " "
y[1] (analytic) = 0.6110758012905001 " "
y[1] (numeric) = 0.6110758012905004 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.450500685580411000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5970000000000004 " "
y[1] (analytic) = 0.6108102448434178 " "
y[1] (numeric) = 0.610810244843418 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.817623450159654700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5980000000000004 " "
y[1] (analytic) = 0.6105460775859748 " "
y[1] (numeric) = 0.6105460775859749 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.818409888103521800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.5990000000000004 " "
y[1] (analytic) = 0.6102832997823383 " "
y[1] (numeric) = 0.6102832997823384 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.81919286505320600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6000000000000004 " "
y[1] (analytic) = 0.6100219116952861 " "
y[1] (numeric) = 0.6100219116952864 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.45991711120564200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6010000000000004 " "
y[1] (analytic) = 0.6097619135862066 " "
y[1] (numeric) = 0.6097619135862069 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.462245180724277000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6020000000000004 " "
y[1] (analytic) = 0.6095033057150977 " "
y[1] (numeric) = 0.6095033057150979 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.64304184805885900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6030000000000004 " "
y[1] (analytic) = 0.6092460883405671 " "
y[1] (numeric) = 0.6092460883405674 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.6445799025123800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6040000000000004 " "
y[1] (analytic) = 0.6089902617198324 " "
y[1] (numeric) = 0.6089902617198325 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.823055464778380300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6050000000000004 " "
y[1] (analytic) = 0.6087358261087198 " "
y[1] (numeric) = 0.60873582610872 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.647634908305434400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6060000000000004 " "
y[1] (analytic) = 0.6084827817616653 " "
y[1] (numeric) = 0.6084827817616655 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.649151817939250700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6070000000000004 " "
y[1] (analytic) = 0.608231128931713 " "
y[1] (numeric) = 0.6082311289317133 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.650661637707144400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6080000000000004 " "
y[1] (analytic) = 0.6079808678705161 " "
y[1] (numeric) = 0.6079808678705161 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6090000000000004 " "
y[1] (analytic) = 0.607731998828335 " "
y[1] (numeric) = 0.6077319988283351 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.8268299624926600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6100000000000004 " "
y[1] (analytic) = 0.6074845220540391 " "
y[1] (numeric) = 0.6074845220540392 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.827574175669937600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6110000000000004 " "
y[1] (analytic) = 0.6072384377951052 " "
y[1] (numeric) = 0.6072384377951053 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.8283148027591900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6120000000000004 " "
y[1] (analytic) = 0.6069937462976175 " "
y[1] (numeric) = 0.6069937462976175 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6130000000000004 " "
y[1] (analytic) = 0.6067504478062672 " "
y[1] (numeric) = 0.6067504478062673 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.829785257908282700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6140000000000004 " "
y[1] (analytic) = 0.6065085425643529 " "
y[1] (numeric) = 0.6065085425643532 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.661030131351719600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6150000000000004 " "
y[1] (analytic) = 0.6062680308137803 " "
y[1] (numeric) = 0.6062680308137803 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6160000000000004 " "
y[1] (analytic) = 0.6060289127950605 " "
y[1] (numeric) = 0.6060289127950605 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6170000000000004 " "
y[1] (analytic) = 0.6057911887473119 " "
y[1] (numeric) = 0.6057911887473119 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6180000000000004 " "
y[1] (analytic) = 0.605554858908258 " "
y[1] (numeric) = 0.6055548589082582 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.666795859343789400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6190000000000004 " "
y[1] (analytic) = 0.6053199235142296 " "
y[1] (numeric) = 0.6053199235142295 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.83410950391269900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6200000000000004 " "
y[1] (analytic) = 0.6050863828001609 " "
y[1] (numeric) = 0.605086382800161 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.83481740158714600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6210000000000004 " "
y[1] (analytic) = 0.6048542369995935 " "
y[1] (numeric) = 0.6048542369995935 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6220000000000004 " "
y[1] (analytic) = 0.6046234863446724 " "
y[1] (numeric) = 0.6046234863446727 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.67244425563800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6230000000000004 " "
y[1] (analytic) = 0.604394131066149 " "
y[1] (numeric) = 0.6043941310661493 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.67383787353039670000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6240000000000004 " "
y[1] (analytic) = 0.6041661713933784 " "
y[1] (numeric) = 0.6041661713933785 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.837612029923270400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6250000000000004 " "
y[1] (analytic) = 0.6039396075543199 " "
y[1] (numeric) = 0.60393960755432 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.838301397586844500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6260000000000004 " "
y[1] (analytic) = 0.6037144397755374 " "
y[1] (numeric) = 0.6037144397755376 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.67797406017964500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6270000000000004 " "
y[1] (analytic) = 0.603490668282199 " "
y[1] (numeric) = 0.6034906682821991 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.83966891780670220000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6280000000000004 " "
y[1] (analytic) = 0.6032682932980759 " "
y[1] (numeric) = 0.603268293298076 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.840347051152899600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6290000000000004 " "
y[1] (analytic) = 0.6030473150455428 " "
y[1] (numeric) = 0.6030473150455431 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.52306426175520600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6300000000000004 " "
y[1] (analytic) = 0.6028277337455786 " "
y[1] (numeric) = 0.6028277337455787 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.841692016601416700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6310000000000004 " "
y[1] (analytic) = 0.602609549617764 " "
y[1] (numeric) = 0.6026095496177643 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.684717659484063600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6320000000000005 " "
y[1] (analytic) = 0.6023927628802834 " "
y[1] (numeric) = 0.6023927628802836 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.68604370117838500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6330000000000005 " "
y[1] (analytic) = 0.6021773737499235 " "
y[1] (numeric) = 0.6021773737499237 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.68736213953537840000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6340000000000005 " "
y[1] (analytic) = 0.6019633824420734 " "
y[1] (numeric) = 0.6019633824420736 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.688672955890278700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6350000000000005 " "
y[1] (analytic) = 0.6017507891707242 " "
y[1] (numeric) = 0.6017507891707244 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.689976131664606000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6360000000000005 " "
y[1] (analytic) = 0.6015395941484692 " "
y[1] (numeric) = 0.6015395941484697 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.3825432967335900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6370000000000005 " "
y[1] (analytic) = 0.601329797586504 " "
y[1] (numeric) = 0.6013297975865042 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.692559487592816400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6380000000000005 " "
y[1] (analytic) = 0.6011213996946243 " "
y[1] (numeric) = 0.6011213996946245 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.69383963102681400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6390000000000005 " "
y[1] (analytic) = 0.6009144006812285 " "
y[1] (numeric) = 0.6009144006812286 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.84755603022085800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6400000000000005 " "
y[1] (analytic) = 0.6007088007533153 " "
y[1] (numeric) = 0.6007088007533155 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.84818837884993180000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6410000000000005 " "
y[1] (analytic) = 0.6005046001164849 " "
y[1] (numeric) = 0.6005046001164849 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6420000000000005 " "
y[1] (analytic) = 0.6003017989749375 " "
y[1] (numeric) = 0.6003017989749376 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.849441441823012300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6430000000000005 " "
y[1] (analytic) = 0.6001003975314744 " "
y[1] (numeric) = 0.6001003975314747 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.550186414767008000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6440000000000005 " "
y[1] (analytic) = 0.5999003959874973 " "
y[1] (numeric) = 0.5999003959874977 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.552036798363581000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6450000000000005 " "
y[1] (analytic) = 0.5997017945430076 " "
y[1] (numeric) = 0.599701794543008 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.553875449736728000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6460000000000005 " "
y[1] (analytic) = 0.5995045933966068 " "
y[1] (numeric) = 0.599504593396607 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.7038015616693704000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6470000000000005 " "
y[1] (analytic) = 0.5993087927454956 " "
y[1] (numeric) = 0.5993087927454959 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.70501163361581900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6480000000000005 " "
y[1] (analytic) = 0.5991143927854751 " "
y[1] (numeric) = 0.5991143927854753 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.706213831596912300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6490000000000005 " "
y[1] (analytic) = 0.5989213937109449 " "
y[1] (numeric) = 0.5989213937109452 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.561112207460963000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6500000000000005 " "
y[1] (analytic) = 0.5987297957149045 " "
y[1] (numeric) = 0.5987297957149047 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.70859453653717400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6510000000000005 " "
y[1] (analytic) = 0.5985395989889515 " "
y[1] (numeric) = 0.5985395989889517 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.709773009172782600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6520000000000005 " "
y[1] (analytic) = 0.5983508037232826 " "
y[1] (numeric) = 0.5983508037232829 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.71094353919710850000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6530000000000005 " "
y[1] (analytic) = 0.5981634101066934 " "
y[1] (numeric) = 0.5981634101066935 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.856053054845210300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6540000000000005 " "
y[1] (analytic) = 0.5979774183265771 " "
y[1] (numeric) = 0.5979774183265772 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.856630351915435600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6550000000000005 " "
y[1] (analytic) = 0.5977928285689257 " "
y[1] (numeric) = 0.5977928285689258 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.857203652447542700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6560000000000005 " "
y[1] (analytic) = 0.5976096410183287 " "
y[1] (numeric) = 0.5976096410183289 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.71554589625874500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6570000000000005 " "
y[1] (analytic) = 0.597427855857974 " "
y[1] (numeric) = 0.5974278558579742 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.716676461397169000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6580000000000005 " "
y[1] (analytic) = 0.5972474732696467 " "
y[1] (numeric) = 0.5972474732696468 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.858899491942949700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6590000000000005 " "
y[1] (analytic) = 0.597068493433729 " "
y[1] (numeric) = 0.5970684934337291 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.859456723700636200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6600000000000005 " "
y[1] (analytic) = 0.5968909165292012 " "
y[1] (numeric) = 0.5968909165292011 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.860009917860497300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6610000000000005 " "
y[1] (analytic) = 0.5967147427336398 " "
y[1] (numeric) = 0.5967147427336397 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.8605590663623600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6620000000000005 " "
y[1] (analytic) = 0.5965399722232186 " "
y[1] (numeric) = 0.5965399722232185 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.861104161197304500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6630000000000005 " "
y[1] (analytic) = 0.5963666051727081 " "
y[1] (numeric) = 0.5963666051727082 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.86164519440795200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6640000000000005 " "
y[1] (analytic) = 0.5961946417554757 " "
y[1] (numeric) = 0.5961946417554758 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.862182158088743000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6650000000000005 " "
y[1] (analytic) = 0.5960240821434846 " "
y[1] (numeric) = 0.5960240821434846 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6660000000000005 " "
y[1] (analytic) = 0.5958549265072943 " "
y[1] (numeric) = 0.5958549265072942 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.863243845499304400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6670000000000005 " "
y[1] (analytic) = 0.5956871750160605 " "
y[1] (numeric) = 0.5956871750160604 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.863768553679577600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6680000000000005 " "
y[1] (analytic) = 0.5955208278375347 " "
y[1] (numeric) = 0.5955208278375346 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.864289161231551300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6690000000000005 " "
y[1] (analytic) = 0.5953558851380639 " "
y[1] (numeric) = 0.5953558851380638 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.864805660512945700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6700000000000005 " "
y[1] (analytic) = 0.595192347082591 " "
y[1] (numeric) = 0.5951923470825908 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.865318043934960400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6710000000000005 " "
y[1] (analytic) = 0.595030213834654 " "
y[1] (numeric) = 0.5950302138346537 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.59747891188764100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6720000000000005 " "
y[1] (analytic) = 0.5948694855563859 " "
y[1] (numeric) = 0.5948694855563857 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.8663304331146802000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6730000000000005 " "
y[1] (analytic) = 0.5947101624085153 " "
y[1] (numeric) = 0.594710162408515 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.7336608479292400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6740000000000005 " "
y[1] (analytic) = 0.5945522445503649 " "
y[1] (numeric) = 0.5945522445503649 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6750000000000005 " "
y[1] (analytic) = 0.5943957321398533 " "
y[1] (numeric) = 0.5943957321398531 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.735635922648032000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6760000000000005 " "
y[1] (analytic) = 0.5942406253334921 " "
y[1] (numeric) = 0.594240625333492 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.868305493253833700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6770000000000005 " "
y[1] (analytic) = 0.5940869242863885 " "
y[1] (numeric) = 0.5940869242863884 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.868788857722707400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6780000000000005 " "
y[1] (analytic) = 0.5939346291522435 " "
y[1] (numeric) = 0.5939346291522434 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.869268047579311400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6790000000000005 " "
y[1] (analytic) = 0.5937837400833522 " "
y[1] (numeric) = 0.593783740083352 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.73948611145636700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6800000000000005 " "
y[1] (analytic) = 0.5936342572306035 " "
y[1] (numeric) = 0.5936342572306034 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.870213875129983800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6810000000000005 " "
y[1] (analytic) = 0.5934861807434805 " "
y[1] (numeric) = 0.5934861807434804 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.87068049880174500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6820000000000005 " "
y[1] (analytic) = 0.5933395107700595 " "
y[1] (numeric) = 0.5933395107700593 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.7422858396342595000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6830000000000005 " "
y[1] (analytic) = 0.5931942474570104 " "
y[1] (numeric) = 0.5931942474570103 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.871601131306682000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6840000000000005 " "
y[1] (analytic) = 0.5930503909495968 " "
y[1] (numeric) = 0.5930503909495967 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.872055126458072300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6850000000000005 " "
y[1] (analytic) = 0.5929079413916749 " "
y[1] (numeric) = 0.5929079413916748 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.872504898516350600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6860000000000005 " "
y[1] (analytic) = 0.5927668989256942 " "
y[1] (numeric) = 0.5927668989256942 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6870000000000005 " "
y[1] (analytic) = 0.5926272636926977 " "
y[1] (numeric) = 0.5926272636926975 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.7467834932442595000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6880000000000005 " "
y[1] (analytic) = 0.5924890358323199 " "
y[1] (numeric) = 0.5924890358323197 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.74765761889764400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6890000000000005 " "
y[1] (analytic) = 0.5923522154827888 " "
y[1] (numeric) = 0.5923522154827888 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6900000000000005 " "
y[1] (analytic) = 0.5922168027809254 " "
y[1] (numeric) = 0.5922168027809253 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.87469018003505300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6910000000000005 " "
y[1] (analytic) = 0.5920827978621417 " "
y[1] (numeric) = 0.5920827978621416 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.875114474924598000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6920000000000005 " "
y[1] (analytic) = 0.5919502008604429 " "
y[1] (numeric) = 0.5919502008604427 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.751069002126753400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6930000000000005 " "
y[1] (analytic) = 0.5918190119084258 " "
y[1] (numeric) = 0.5918190119084256 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.75190050432832430000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6940000000000005 " "
y[1] (analytic) = 0.5916892311372794 " "
y[1] (numeric) = 0.5916892311372792 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.75272344399849500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6950000000000005 " "
y[1] (analytic) = 0.5915608586767845 " "
y[1] (numeric) = 0.5915608586767843 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.753537808801367700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6960000000000005 " "
y[1] (analytic) = 0.5914338946553136 " "
y[1] (numeric) = 0.5914338946553134 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.75434358652099950000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6970000000000005 " "
y[1] (analytic) = 0.5913083391998305 " "
y[1] (numeric) = 0.5913083391998304 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.87757038253093300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6980000000000005 " "
y[1] (analytic) = 0.591184192435891 " "
y[1] (numeric) = 0.5911841924358908 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.755929332449297600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.6990000000000005 " "
y[1] (analytic) = 0.5910614544876417 " "
y[1] (numeric) = 0.5910614544876415 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.75670927682992700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7000000000000005 " "
y[1] (analytic) = 0.5909401254778204 " "
y[1] (numeric) = 0.5909401254778202 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.757480586472128000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7010000000000005 " "
y[1] (analytic) = 0.5908202055277563 " "
y[1] (numeric) = 0.5908202055277559 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.63736487464966600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7020000000000005 " "
y[1] (analytic) = 0.5907016947573691 " "
y[1] (numeric) = 0.5907016947573688 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.63849588283904100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7030000000000005 " "
y[1] (analytic) = 0.5905845932851698 " "
y[1] (numeric) = 0.5905845932851694 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.63961388723058500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7040000000000005 " "
y[1] (analytic) = 0.5904689012282597 " "
y[1] (numeric) = 0.5904689012282593 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.64071887096374100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7050000000000005 " "
y[1] (analytic) = 0.590354618702331 " "
y[1] (numeric) = 0.5903546187023306 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.641810817363762000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7060000000000005 " "
y[1] (analytic) = 0.590241745821666 " "
y[1] (numeric) = 0.5902417458216657 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.6428897099423200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7070000000000005 " "
y[1] (analytic) = 0.590130282699138 " "
y[1] (numeric) = 0.5901302826991375 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.40659255399687500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7080000000000005 " "
y[1] (analytic) = 0.5900202294462095 " "
y[1] (numeric) = 0.590020229446209 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.52667769149005100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7090000000000005 " "
y[1] (analytic) = 0.5899115861729342 " "
y[1] (numeric) = 0.5899115861729337 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.52806387023354100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7100000000000005 " "
y[1] (analytic) = 0.589804352987955 " "
y[1] (numeric) = 0.5898043529879546 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.64707441883442500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7110000000000005 " "
y[1] (analytic) = 0.5896985299985055 " "
y[1] (numeric) = 0.5896985299985051 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.64808780154820900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7120000000000005 " "
y[1] (analytic) = 0.5895941173104086 " "
y[1] (numeric) = 0.5895941173104081 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.53211738061252200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7130000000000005 " "
y[1] (analytic) = 0.5894911150280766 " "
y[1] (numeric) = 0.5894911150280762 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.5334334738685800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7140000000000005 " "
y[1] (analytic) = 0.5893895232545121 " "
y[1] (numeric) = 0.5893895232545117 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.53473199519860800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7150000000000005 " "
y[1] (analytic) = 0.5892893420913068 " "
y[1] (numeric) = 0.5892893420913063 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.53601292489104100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7160000000000005 " "
y[1] (analytic) = 0.589190571638642 " "
y[1] (numeric) = 0.5891905716386414 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.42159530436334300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7170000000000005 " "
y[1] (analytic) = 0.5890932119952877 " "
y[1] (numeric) = 0.5890932119952873 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.53852193179939300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7180000000000005 " "
y[1] (analytic) = 0.5889972632586041 " "
y[1] (numeric) = 0.5889972632586036 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.42468746359610800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7190000000000005 " "
y[1] (analytic) = 0.5889027255245395 " "
y[1] (numeric) = 0.588902725524539 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.5409603420413700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7200000000000005 " "
y[1] (analytic) = 0.5888095988876318 " "
y[1] (numeric) = 0.5888095988876314 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.54215302687027700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7210000000000005 " "
y[1] (analytic) = 0.5887178834410076 " "
y[1] (numeric) = 0.5887178834410073 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.65749600540072400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7220000000000005 " "
y[1] (analytic) = 0.5886275792763824 " "
y[1] (numeric) = 0.5886275792763821 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.65836394884854300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7230000000000005 " "
y[1] (analytic) = 0.5885386864840604 " "
y[1] (numeric) = 0.58853868648406 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.659218587265590000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7240000000000005 " "
y[1] (analytic) = 0.5884512051529343 " "
y[1] (numeric) = 0.5884512051529338 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.54674654349033100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7250000000000005 " "
y[1] (analytic) = 0.5883651353704852 " "
y[1] (numeric) = 0.5883651353704848 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.66088789706785400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7260000000000005 " "
y[1] (analytic) = 0.5882804772227831 " "
y[1] (numeric) = 0.5882804772227829 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.77446836198411800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7270000000000005 " "
y[1] (analytic) = 0.5881972307944863 " "
y[1] (numeric) = 0.588197230794486 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.775002555267261700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7280000000000005 " "
y[1] (analytic) = 0.588115396168841 " "
y[1] (numeric) = 0.5881153961688408 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.775527836399047400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7290000000000005 " "
y[1] (analytic) = 0.5880349734276817 " "
y[1] (numeric) = 0.5880349734276816 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.888022098674875800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7300000000000005 " "
y[1] (analytic) = 0.5879559626514319 " "
y[1] (numeric) = 0.5879559626514315 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.55310326044502900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7310000000000005 " "
y[1] (analytic) = 0.5878783639191012 " "
y[1] (numeric) = 0.587878363919101 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.77705012725365700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7320000000000005 " "
y[1] (analytic) = 0.5878021773082889 " "
y[1] (numeric) = 0.5878021773082889 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7330000000000005 " "
y[1] (analytic) = 0.5877274028951819 " "
y[1] (numeric) = 0.5877274028951818 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.88901014170196700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7340000000000005 " "
y[1] (analytic) = 0.5876540407545543 " "
y[1] (numeric) = 0.5876540407545541 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.778491927664167600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7350000000000005 " "
y[1] (analytic) = 0.587582090959768 " "
y[1] (numeric) = 0.5875820909597679 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.889477303182771600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7360000000000005 " "
y[1] (analytic) = 0.5875115535827732 " "
y[1] (numeric) = 0.5875115535827731 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.889704156207269700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7370000000000005 " "
y[1] (analytic) = 0.5874424286941071 " "
y[1] (numeric) = 0.587442428694107 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.889926519426249300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7380000000000005 " "
y[1] (analytic) = 0.5873747163628946 " "
y[1] (numeric) = 0.5873747163628945 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.89014438942794600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7390000000000005 " "
y[1] (analytic) = 0.587308416656848 " "
y[1] (numeric) = 0.587308416656848 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7400000000000005 " "
y[1] (analytic) = 0.5872435296422669 " "
y[1] (numeric) = 0.587243529642267 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.890566636471030800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7410000000000005 " "
y[1] (analytic) = 0.5871800553840386 " "
y[1] (numeric) = 0.5871800553840386 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7420000000000005 " "
y[1] (analytic) = 0.5871179939456371 " "
y[1] (numeric) = 0.5871179939456371 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7430000000000005 " "
y[1] (analytic) = 0.587057345389124 " "
y[1] (numeric) = 0.587057345389124 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7440000000000005 " "
y[1] (analytic) = 0.5869981097751478 " "
y[1] (numeric) = 0.5869981097751478 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7450000000000006 " "
y[1] (analytic) = 0.586940287162944 " "
y[1] (numeric) = 0.586940287162944 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7460000000000006 " "
y[1] (analytic) = 0.5868838776103352 " "
y[1] (numeric) = 0.5868838776103352 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7470000000000006 " "
y[1] (analytic) = 0.586828881173731 " "
y[1] (numeric) = 0.5868288811737311 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.891902495331470300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7480000000000006 " "
y[1] (analytic) = 0.5867752979081279 " "
y[1] (numeric) = 0.5867752979081281 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.78415052093411600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7490000000000006 " "
y[1] (analytic) = 0.5867231278671092 " "
y[1] (numeric) = 0.5867231278671093 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.89224349935054600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7500000000000006 " "
y[1] (analytic) = 0.5866723711028449 " "
y[1] (numeric) = 0.586672371102845 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.892407209390353800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7510000000000006 " "
y[1] (analytic) = 0.5866230276660916 " "
y[1] (numeric) = 0.5866230276660918 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.892566388063954800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7520000000000006 " "
y[1] (analytic) = 0.5865750976061931 " "
y[1] (numeric) = 0.5865750976061931 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7530000000000006 " "
y[1] (analytic) = 0.5865285809710791 " "
y[1] (numeric) = 0.586528580971079 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.892871141568291400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7540000000000006 " "
y[1] (analytic) = 0.5864834778072661 " "
y[1] (numeric) = 0.5864834778072662 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.893016711700112300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7550000000000006 " "
y[1] (analytic) = 0.5864397881598575 " "
y[1] (numeric) = 0.5864397881598578 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.78631548213615100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7560000000000006 " "
y[1] (analytic) = 0.5863975120725431 " "
y[1] (numeric) = 0.5863975120725433 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.78658845499266400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7570000000000006 " "
y[1] (analytic) = 0.5863566495875988 " "
y[1] (numeric) = 0.586356649587599 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.7868523377572600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7580000000000006 " "
y[1] (analytic) = 0.5863172007458874 " "
y[1] (numeric) = 0.5863172007458873 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.893553563178393400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7590000000000006 " "
y[1] (analytic) = 0.586279165586857 " "
y[1] (numeric) = 0.5862791655868571 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.89367640842880600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7600000000000006 " "
y[1] (analytic) = 0.5862425441485434 " "
y[1] (numeric) = 0.5862425441485435 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.893794702732877800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7610000000000006 " "
y[1] (analytic) = 0.5862073364675681 " "
y[1] (numeric) = 0.586207336467568 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.89390844426352500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7620000000000006 " "
y[1] (analytic) = 0.5861735425791379 " "
y[1] (numeric) = 0.5861735425791381 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.78803526252728500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7630000000000006 " "
y[1] (analytic) = 0.5861411625170476 " "
y[1] (numeric) = 0.5861411625170478 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.788244524092321000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7640000000000006 " "
y[1] (analytic) = 0.5861101963136771 " "
y[1] (numeric) = 0.5861101963136772 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.89422233499412170000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7650000000000006 " "
y[1] (analytic) = 0.5860806439999925 " "
y[1] (numeric) = 0.5860806439999925 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7660000000000006 " "
y[1] (analytic) = 0.5860525056055459 " "
y[1] (numeric) = 0.5860525056055459 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.7670000000000006 " "
y[1] (analytic) = 0.5860257811584758 " "
y[1] (numeric) = 0.5860257811584759 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.894495191713971300000000000000E-14 "%"
h = 1.000E-3 " "
"Finished!"
"Maximum Time Reached before Solution Completed!"
"diff ( y , x , 1 ) = sin ( x ) - cos ( x );"
Iterations = 767
"Total Elapsed Time "= 15 Minutes 1 Seconds
"Elapsed Time(since restart) "= 15 Minutes 0 Seconds
"Expected Time Remaining "= 3 Hours 0 Minutes 31 Seconds
"Optimized Time Remaining "= 3 Hours 0 Minutes 25 Seconds
"Time to Timeout " Unknown
Percent Done = 7.680000000000005 "%"
(%o51) true
(%o51) diffeq.max