(%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(glob_iolevel, 5, fixnum), define_variable(INFO, 2, fixnum),
define_variable(ALWAYS, 1, fixnum), define_variable(DEBUGL, 3, fixnum),
define_variable(glob_max_terms, 30, fixnum),
define_variable(glob_unchanged_h_cnt, 0, fixnum),
define_variable(min_in_hour, 60.0, float),
define_variable(djd_debug, true, boolean),
define_variable(glob_iter, 0, fixnum),
define_variable(glob_log10_abserr, 1.0E-11, float),
define_variable(glob_last_good_h, 0.1, float),
define_variable(hours_in_day, 24.0, float),
define_variable(glob_display_flag, true, boolean),
define_variable(glob_html_log, true, boolean),
define_variable(glob_subiter_method, 3, fixnum),
define_variable(glob_start, 0, fixnum),
define_variable(glob_warned, false, boolean),
define_variable(glob_hmin, 1.0E-11, float),
define_variable(glob_disp_incr, 0.1, float),
define_variable(glob_dump, false, boolean),
define_variable(glob_log10relerr, 0.0, float),
define_variable(glob_orig_start_sec, 0.0, float),
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_not_yet_start_msg, true, boolean),
define_variable(glob_initial_pass, true, boolean),
define_variable(glob_not_yet_finished, true, boolean),
define_variable(sec_in_min, 60.0, float),
define_variable(glob_percent_done, 0.0, float),
define_variable(glob_small_float, 1.0E-51, float),
define_variable(glob_optimal_done, false, boolean),
define_variable(glob_optimal_expect_sec, 0.1, float),
define_variable(glob_max_hours, 0.0, float),
define_variable(glob_look_poles, false, boolean),
define_variable(glob_large_float, 9.0E+100, float),
define_variable(glob_hmin_init, 0.001, float),
define_variable(glob_hmax, 1.0, float), define_variable(glob_h, 0.1, float),
define_variable(glob_clock_start_sec, 0.0, float),
define_variable(glob_max_iter, 1000, fixnum),
define_variable(glob_almost_1, 0.999, float),
define_variable(glob_smallish_float, 1.0E-101, float),
define_variable(glob_optimal_start, 0.0, float),
define_variable(glob_dump_analytic, false, boolean),
define_variable(years_in_century, 100.0, float),
define_variable(glob_log10normmin, 0.1, float),
define_variable(glob_log10abserr, 0.0, float),
define_variable(glob_normmax, 0.0, float),
define_variable(MAX_UNCHANGED, 10, fixnum),
define_variable(glob_current_iter, 0, fixnum),
define_variable(glob_reached_optimal_h, false, boolean),
define_variable(glob_clock_sec, 0.0, float),
define_variable(glob_max_sec, 10000.0, float),
define_variable(glob_warned2, false, boolean),
define_variable(glob_max_rel_trunc_err, 1.0E-11, float),
define_variable(glob_log10_relerr, 1.0E-11, float),
define_variable(centuries_in_millinium, 10.0, float),
define_variable(days_in_year, 365.0, float),
define_variable(djd_debug2, true, boolean),
define_variable(glob_max_opt_iter, 10, fixnum),
define_variable(glob_max_minutes, 0.0, float),
define_variable(glob_curr_iter_when_opt, 0, fixnum),
define_variable(glob_no_eqs, 0, fixnum),
define_variable(glob_relerr, 1.0E-11, 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 : 0.0001 ,"),
omniout_str(ALWAYS, "glob_look_poles : true,"),
omniout_str(ALWAYS, "glob_max_iter : 1000,"),
omniout_str(ALWAYS, "glob_max_minutes : 15,"),
omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"),
omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"),
omniout_str(ALWAYS, "exact_soln_y (x) := ("),
omniout_str(ALWAYS, "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_tmp3_g, 1 + max_terms), array(array_type_pole, 1 + max_terms),
array(array_pole, 1 + max_terms), array(array_norms, 1 + max_terms),
array(array_y_init, 1 + max_terms), array(array_last_rel_error,
1 + max_terms), array(array_tmp0, 1 + max_terms),
array(array_tmp1_g, 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_m1, 1 + max_terms),
array(array_y, 1 + max_terms), array(array_x, 1 + max_terms),
array(array_1st_rel_error, 1 + max_terms),
array(array_real_pole, 1 + 1, 1 + 3), array(array_poles, 1 + 1, 1 + 3),
array(array_complex_pole, 1 + 1, 1 + 3),
array(array_y_higher_work, 1 + 2, 1 + max_terms),
array(array_y_higher, 1 + 2, 1 + max_terms),
array(array_y_higher_work2, 1 + 2, 1 + max_terms),
array(array_y_set_initial, 1 + 2, 1 + max_terms), term : 1,
while term <= max_terms do (array_tmp3_g : 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_norms : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_y_init : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_last_rel_error : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp0 : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_tmp1_g : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp3 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp4 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_y : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_x : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term),
term
ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_real_pole : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_poles : 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 <= 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 <= 2 do (term : 1, while term <=
max_terms do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord),
ord, term
ord : 1, while ord <= 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), 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_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_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_tmp0, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term),
term
array(array_x, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term),
term
array(array_y, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term),
term
array(array_const_1, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term),
term
array_const_1 : 1, array(array_const_0D0, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term),
term
array_const_0D0 : 0.0, array(array_m1, 1 + 1 + max_terms), term : 1,
1
while term <= max_terms do (array_m1 : 0.0, term : 1 + term),
term
array_m1 : - 1.0, 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 : 1.0E-4,
glob_look_poles : true, glob_max_iter : 1000, glob_max_minutes : 15,
glob_last_good_h : glob_h, glob_max_terms : max_terms,
glob_max_sec : convfloat(3600.0) convfloat(glob_max_hours)
+ convfloat(60.0) convfloat(glob_max_minutes),
glob_log10_abserr glob_log10_relerr
glob_abserr : 10.0 , glob_relerr : 10.0 ,
chk_data(), array_y_set_initial : true, array_y_set_initial : 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,
"2012-06-13T19:36:09-05:00"), 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(glob_iolevel, 5, fixnum), define_variable(INFO, 2, fixnum),
define_variable(ALWAYS, 1, fixnum), define_variable(DEBUGL, 3, fixnum),
define_variable(glob_max_terms, 30, fixnum),
define_variable(glob_unchanged_h_cnt, 0, fixnum),
define_variable(min_in_hour, 60.0, float),
define_variable(djd_debug, true, boolean),
define_variable(glob_iter, 0, fixnum),
define_variable(glob_log10_abserr, 1.0E-11, float),
define_variable(glob_last_good_h, 0.1, float),
define_variable(hours_in_day, 24.0, float),
define_variable(glob_display_flag, true, boolean),
define_variable(glob_html_log, true, boolean),
define_variable(glob_subiter_method, 3, fixnum),
define_variable(glob_start, 0, fixnum),
define_variable(glob_warned, false, boolean),
define_variable(glob_hmin, 1.0E-11, float),
define_variable(glob_disp_incr, 0.1, float),
define_variable(glob_dump, false, boolean),
define_variable(glob_log10relerr, 0.0, float),
define_variable(glob_orig_start_sec, 0.0, float),
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_not_yet_start_msg, true, boolean),
define_variable(glob_initial_pass, true, boolean),
define_variable(glob_not_yet_finished, true, boolean),
define_variable(sec_in_min, 60.0, float),
define_variable(glob_percent_done, 0.0, float),
define_variable(glob_small_float, 1.0E-51, float),
define_variable(glob_optimal_done, false, boolean),
define_variable(glob_optimal_expect_sec, 0.1, float),
define_variable(glob_max_hours, 0.0, float),
define_variable(glob_look_poles, false, boolean),
define_variable(glob_large_float, 9.0E+100, float),
define_variable(glob_hmin_init, 0.001, float),
define_variable(glob_hmax, 1.0, float), define_variable(glob_h, 0.1, float),
define_variable(glob_clock_start_sec, 0.0, float),
define_variable(glob_max_iter, 1000, fixnum),
define_variable(glob_almost_1, 0.999, float),
define_variable(glob_smallish_float, 1.0E-101, float),
define_variable(glob_optimal_start, 0.0, float),
define_variable(glob_dump_analytic, false, boolean),
define_variable(years_in_century, 100.0, float),
define_variable(glob_log10normmin, 0.1, float),
define_variable(glob_log10abserr, 0.0, float),
define_variable(glob_normmax, 0.0, float),
define_variable(MAX_UNCHANGED, 10, fixnum),
define_variable(glob_current_iter, 0, fixnum),
define_variable(glob_reached_optimal_h, false, boolean),
define_variable(glob_clock_sec, 0.0, float),
define_variable(glob_max_sec, 10000.0, float),
define_variable(glob_warned2, false, boolean),
define_variable(glob_max_rel_trunc_err, 1.0E-11, float),
define_variable(glob_log10_relerr, 1.0E-11, float),
define_variable(centuries_in_millinium, 10.0, float),
define_variable(days_in_year, 365.0, float),
define_variable(djd_debug2, true, boolean),
define_variable(glob_max_opt_iter, 10, fixnum),
define_variable(glob_max_minutes, 0.0, float),
define_variable(glob_curr_iter_when_opt, 0, fixnum),
define_variable(glob_no_eqs, 0, fixnum),
define_variable(glob_relerr, 1.0E-11, 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 : 0.0001 ,"),
omniout_str(ALWAYS, "glob_look_poles : true,"),
omniout_str(ALWAYS, "glob_max_iter : 1000,"),
omniout_str(ALWAYS, "glob_max_minutes : 15,"),
omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"),
omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"),
omniout_str(ALWAYS, "exact_soln_y (x) := ("),
omniout_str(ALWAYS, "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_tmp3_g, 1 + max_terms), array(array_type_pole, 1 + max_terms),
array(array_pole, 1 + max_terms), array(array_norms, 1 + max_terms),
array(array_y_init, 1 + max_terms), array(array_last_rel_error,
1 + max_terms), array(array_tmp0, 1 + max_terms),
array(array_tmp1_g, 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_m1, 1 + max_terms),
array(array_y, 1 + max_terms), array(array_x, 1 + max_terms),
array(array_1st_rel_error, 1 + max_terms),
array(array_real_pole, 1 + 1, 1 + 3), array(array_poles, 1 + 1, 1 + 3),
array(array_complex_pole, 1 + 1, 1 + 3),
array(array_y_higher_work, 1 + 2, 1 + max_terms),
array(array_y_higher, 1 + 2, 1 + max_terms),
array(array_y_higher_work2, 1 + 2, 1 + max_terms),
array(array_y_set_initial, 1 + 2, 1 + max_terms), term : 1,
while term <= max_terms do (array_tmp3_g : 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_norms : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_y_init : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_last_rel_error : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp0 : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_tmp1_g : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp3 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp4 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_y : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_x : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term),
term
ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_real_pole : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_poles : 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 <= 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 <= 2 do (term : 1, while term <=
max_terms do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord),
ord, term
ord : 1, while ord <= 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), 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_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_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_tmp0, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term),
term
array(array_x, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term),
term
array(array_y, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term),
term
array(array_const_1, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term),
term
array_const_1 : 1, array(array_const_0D0, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term),
term
array_const_0D0 : 0.0, array(array_m1, 1 + 1 + max_terms), term : 1,
1
while term <= max_terms do (array_m1 : 0.0, term : 1 + term),
term
array_m1 : - 1.0, 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 : 1.0E-4,
glob_look_poles : true, glob_max_iter : 1000, glob_max_minutes : 15,
glob_last_good_h : glob_h, glob_max_terms : max_terms,
glob_max_sec : convfloat(3600.0) convfloat(glob_max_hours)
+ convfloat(60.0) convfloat(glob_max_minutes),
glob_log10_abserr glob_log10_relerr
glob_abserr : 10.0 , glob_relerr : 10.0 ,
chk_data(), array_y_set_initial : true, array_y_set_initial : 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,
"2012-06-13T19:36:09-05:00"), 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 : 0.0001 ,"
"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 = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.0000E-4 " "
y[1] (analytic) = 0.9999000050001666 " "
y[1] (numeric) = 0.9999000050001666 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.0000E-4 " "
y[1] (analytic) = 0.9998000200013332 " "
y[1] (numeric) = 0.9998000200013333 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.11044509143306090000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.00000000000000040000E-4 " "
y[1] (analytic) = 0.9997000450044997 " "
y[1] (numeric) = 0.9997000450044997 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.0000E-4 " "
y[1] (analytic) = 0.9996000800106657 " "
y[1] (numeric) = 0.9996000800106657 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.0000E-4 " "
y[1] (analytic) = 0.9995001250208307 " "
y[1] (numeric) = 0.9995001250208309 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.110778274892179900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.0000000000000010000E-4 " "
y[1] (analytic) = 0.9994001800359945 " "
y[1] (numeric) = 0.9994001800359947 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.221778716480060400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.0000000000000010000E-4 " "
y[1] (analytic) = 0.9993002450571568 " "
y[1] (numeric) = 0.9993002450571568 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.0000000000000020000E-4 " "
y[1] (analytic) = 0.9992003200853163 " "
y[1] (numeric) = 0.9992003200853163 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.0000000000000020000E-4 " "
y[1] (analytic) = 0.9991004051214727 " "
y[1] (numeric) = 0.9991004051214727 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.0000000000000002000E-3 " "
y[1] (analytic) = 0.999000500166625 " "
y[1] (numeric) = 0.999000500166625 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.1000000000000003000E-3 " "
y[1] (analytic) = 0.9989006052217724 " "
y[1] (numeric) = 0.9989006052217724 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.2000000000000004000E-3 " "
y[1] (analytic) = 0.9988007202879134 " "
y[1] (numeric) = 0.9988007202879137 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.22311218258858400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.3000000000000003000E-3 " "
y[1] (analytic) = 0.9987008453660476 " "
y[1] (numeric) = 0.9987008453660478 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.111667252287378700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.4000000000000004000E-3 " "
y[1] (analytic) = 0.9986009804571733 " "
y[1] (numeric) = 0.9986009804571734 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.111778424368140600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.5000000000000005000E-3 " "
y[1] (analytic) = 0.9985011255622891 " "
y[1] (numeric) = 0.9985011255622892 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.111889607535447700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.6000000000000006000E-3 " "
y[1] (analytic) = 0.9984012806823936 " "
y[1] (numeric) = 0.9984012806823938 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.11200080178816900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.7000000000000007000E-3 " "
y[1] (analytic) = 0.9983014458184851 " "
y[1] (numeric) = 0.9983014458184855 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.336336021375515500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.8000000000000005000E-3 " "
y[1] (analytic) = 0.9982016209715623 " "
y[1] (numeric) = 0.9982016209715627 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.448892894181287000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.9000000000000006000E-3 " "
y[1] (analytic) = 0.9981018061426234 " "
y[1] (numeric) = 0.9981018061426238 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.33700335314244900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.0000000000000004000E-3 " "
y[1] (analytic) = 0.9980020013326664 " "
y[1] (numeric) = 0.9980020013326667 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.33733706889155770000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.1000000000000002000E-3 " "
y[1] (analytic) = 0.9979022065426894 " "
y[1] (numeric) = 0.9979022065426896 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.22511387858658320000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.2000E-3 " "
y[1] (analytic) = 0.99780242177369 " "
y[1] (numeric) = 0.9978024217736904 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.338004600103980400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.3000E-3 " "
y[1] (analytic) = 0.9977026470266668 " "
y[1] (numeric) = 0.997702647026667 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.225558943706966700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.4000E-3 " "
y[1] (analytic) = 0.997602882302617 " "
y[1] (numeric) = 0.9976028823026172 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.22578150949723700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.4999999999999997000E-3 " "
y[1] (analytic) = 0.9975031276025383 " "
y[1] (numeric) = 0.9975031276025385 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.113002048718921100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.5999999999999995000E-3 " "
y[1] (analytic) = 0.9974033829274285 " "
y[1] (numeric) = 0.9974033829274285 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.6999999999999990000E-3 " "
y[1] (analytic) = 0.9973036482782847 " "
y[1] (numeric) = 0.9973036482782847 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.799999999999999000E-3 " "
y[1] (analytic) = 0.9972039236561043 " "
y[1] (numeric) = 0.9972039236561043 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.899999999999998700E-3 " "
y[1] (analytic) = 0.9971042090618847 " "
y[1] (numeric) = 0.9971042090618848 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.113447335328870600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.9999999999999990000E-3 " "
y[1] (analytic) = 0.997004504496623 " "
y[1] (numeric) = 0.9970045044966231 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.113558684657795200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.0999999999999983000E-3 " "
y[1] (analytic) = 0.9969048099613164 " "
y[1] (numeric) = 0.9969048099613165 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.113670045054991200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.1999999999999984000E-3 " "
y[1] (analytic) = 0.9968051254569615 " "
y[1] (numeric) = 0.9968051254569616 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.113781416519303400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.2999999999999985000E-3 " "
y[1] (analytic) = 0.9967054509845553 " "
y[1] (numeric) = 0.9967054509845555 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.227785598099152300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.399999999999998000E-3 " "
y[1] (analytic) = 0.9966057865450948 " "
y[1] (numeric) = 0.9966057865450949 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.114004192644651900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.499999999999998000E-3 " "
y[1] (analytic) = 0.9965061321395763 " "
y[1] (numeric) = 0.9965061321395764 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.114115597303371500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.5999999999999976000E-3 " "
y[1] (analytic) = 0.9964064877689967 " "
y[1] (numeric) = 0.9964064877689967 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.6999999999999980000E-3 " "
y[1] (analytic) = 0.9963068534343518 " "
y[1] (numeric) = 0.996306853434352 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.228676879614200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.7999999999999970000E-3 " "
y[1] (analytic) = 0.9962072291366386 " "
y[1] (numeric) = 0.9962072291366387 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.114449877649783300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.8999999999999974000E-3 " "
y[1] (analytic) = 0.9961076148768531 " "
y[1] (numeric) = 0.9961076148768532 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.114561326551460500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.9999999999999974000E-3 " "
y[1] (analytic) = 0.9960080106559913 " "
y[1] (numeric) = 0.9960080106559915 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.229345573021929700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.099999999999997500E-3 " "
y[1] (analytic) = 0.9959084164750496 " "
y[1] (numeric) = 0.9959084164750498 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.22956851505425700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.199999999999998000E-3 " "
y[1] (analytic) = 0.9958088323350236 " "
y[1] (numeric) = 0.9958088323350238 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.22979147919756600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.299999999999998000E-3 " "
y[1] (analytic) = 0.9957092582369096 " "
y[1] (numeric) = 0.9957092582369095 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.115007232724756500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.3999999999999984000E-3 " "
y[1] (analytic) = 0.9956096941817025 " "
y[1] (numeric) = 0.9956096941817026 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.115118736903878100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.499999999999999000E-3 " "
y[1] (analytic) = 0.9955101401703987 " "
y[1] (numeric) = 0.9955101401703988 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.115230252134973600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.599999999999999000E-3 " "
y[1] (analytic) = 0.9954105962039934 " "
y[1] (numeric) = 0.9954105962039936 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.230683556833735500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.699999999999999000E-3 " "
y[1] (analytic) = 0.9953110622834822 " "
y[1] (numeric) = 0.9953110622834824 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.23090663149676800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.8000E-3 " "
y[1] (analytic) = 0.9952115384098604 " "
y[1] (numeric) = 0.9952115384098605 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.115564864128344400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.9000E-3 " "
y[1] (analytic) = 0.9951120245841231 " "
y[1] (numeric) = 0.9951120245841233 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.231352847111139300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.000E-3 " "
y[1] (analytic) = 0.9950125208072657 " "
y[1] (numeric) = 0.9950125208072658 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.115787994028878400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.1000E-3 " "
y[1] (analytic) = 0.994913027080283 " "
y[1] (numeric) = 0.9949130270802831 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.115899575547088400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.200000000000000000E-3 " "
y[1] (analytic) = 0.99481354340417 " "
y[1] (numeric) = 0.99481354340417 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.300000000000001000E-3 " "
y[1] (analytic) = 0.9947140697799216 " "
y[1] (numeric) = 0.9947140697799216 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.400000000000001000E-3 " "
y[1] (analytic) = 0.9946146062085325 " "
y[1] (numeric) = 0.9946146062085325 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.500000000000002000E-3 " "
y[1] (analytic) = 0.994515152690997 " "
y[1] (numeric) = 0.9945151526909972 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.232692024090478200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.600000000000002000E-3 " "
y[1] (analytic) = 0.9944157092283104 " "
y[1] (numeric) = 0.9944157092283105 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.116457648770166000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.700000000000002000E-3 " "
y[1] (analytic) = 0.9943162758214666 " "
y[1] (numeric) = 0.9943162758214666 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.800000000000002000E-3 " "
y[1] (analytic) = 0.9942168524714599 " "
y[1] (numeric) = 0.9942168524714601 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.23336191066430700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.9000000000000030000E-3 " "
y[1] (analytic) = 0.9941174391792847 " "
y[1] (numeric) = 0.994117439179285 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.233585250333653400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.000000000000003000E-3 " "
y[1] (analytic) = 0.9940180359459352 " "
y[1] (numeric) = 0.9940180359459354 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.233808612071384600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.100000000000003000E-3 " "
y[1] (analytic) = 0.9939186427724053 " "
y[1] (numeric) = 0.9939186427724055 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.23403199587510620000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.200000000000003000E-3 " "
y[1] (analytic) = 0.9938192596596889 " "
y[1] (numeric) = 0.9938192596596891 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.234255401742420400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.3000000000000030000E-3 " "
y[1] (analytic) = 0.9937198866087802 " "
y[1] (numeric) = 0.9937198866087802 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.400000000000003000E-3 " "
y[1] (analytic) = 0.9936205236206721 " "
y[1] (numeric) = 0.9936205236206723 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.23470227965822280000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.500000000000004000E-3 " "
y[1] (analytic) = 0.9935211706963591 " "
y[1] (numeric) = 0.9935211706963593 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.117462875850950600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.600000000000005000E-3 " "
y[1] (analytic) = 0.9934218278368344 " "
y[1] (numeric) = 0.9934218278368344 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.7000000000000050000E-3 " "
y[1] (analytic) = 0.9933224950430912 " "
y[1] (numeric) = 0.9933224950430913 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.117686380974382400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.800000000000005000E-3 " "
y[1] (analytic) = 0.9932231723161232 " "
y[1] (numeric) = 0.9932231723161233 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.117798150073561300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.900000000000005000E-3 " "
y[1] (analytic) = 0.9931238596569235 " "
y[1] (numeric) = 0.9931238596569236 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.117909930196103700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.000000000000005000E-3 " "
y[1] (analytic) = 0.9930245570664852 " "
y[1] (numeric) = 0.9930245570664853 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.118021721340799200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.100000000000005000E-3 " "
y[1] (analytic) = 0.992925264545801 " "
y[1] (numeric) = 0.9929252645458013 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.35440057051930800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.200000000000006000E-3 " "
y[1] (analytic) = 0.9928259820958645 " "
y[1] (numeric) = 0.9928259820958647 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.23649067338359900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.300000000000006000E-3 " "
y[1] (analytic) = 0.9927267097176683 " "
y[1] (numeric) = 0.9927267097176683 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.400000000000007000E-3 " "
y[1] (analytic) = 0.9926274474122044 " "
y[1] (numeric) = 0.9926274474122048 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.355406988350540500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.500000000000007000E-3 " "
y[1] (analytic) = 0.9925281951804664 " "
y[1] (numeric) = 0.9925281951804668 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.355742527062287600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.600000000000007000E-3 " "
y[1] (analytic) = 0.9924289530234465 " "
y[1] (numeric) = 0.9924289530234468 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.35607809881860800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.700000000000007000E-3 " "
y[1] (analytic) = 0.992329720942137 " "
y[1] (numeric) = 0.9923297209421372 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.237609135743892400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.8000000000000070000E-3 " "
y[1] (analytic) = 0.9922304989375302 " "
y[1] (numeric) = 0.9922304989375305 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.237832894300208200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.900000000000008000E-3 " "
y[1] (analytic) = 0.9921312870106187 " "
y[1] (numeric) = 0.9921312870106187 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.000000000000007000E-3 " "
y[1] (analytic) = 0.9920320851623939 " "
y[1] (numeric) = 0.992032085162394 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.119140238738765100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.100000000000006000E-3 " "
y[1] (analytic) = 0.9919328933938485 " "
y[1] (numeric) = 0.9919328933938486 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.119252151046815500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.200000000000006000E-3 " "
y[1] (analytic) = 0.9918337117059741 " "
y[1] (numeric) = 0.9918337117059742 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.119364074362375000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.300000000000005000E-3 " "
y[1] (analytic) = 0.9917345400997626 " "
y[1] (numeric) = 0.9917345400997627 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.119476008684213700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.400000000000005000E-3 " "
y[1] (analytic) = 0.9916353785762055 " "
y[1] (numeric) = 0.9916353785762058 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.239175908022199800000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.500000000000004000E-3 " "
y[1] (analytic) = 0.9915362271362947 " "
y[1] (numeric) = 0.991536227136295 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.239399820683601300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.600000000000003000E-3 " "
y[1] (analytic) = 0.9914370857810219 " "
y[1] (numeric) = 0.991437085781022 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.119811877675081100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.700000000000003000E-3 " "
y[1] (analytic) = 0.9913379545113779 " "
y[1] (numeric) = 0.9913379545113781 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.239847712019411300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.800000000000002000E-3 " "
y[1] (analytic) = 0.9912388333283544 " "
y[1] (numeric) = 0.9912388333283546 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.240071690688873200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.900000000000001000E-3 " "
y[1] (analytic) = 0.9911397222329427 " "
y[1] (numeric) = 0.9911397222329428 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.120147845678034800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"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 = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.1000E-3 " "
y[1] (analytic) = 0.9909415303089185 " "
y[1] (numeric) = 0.9909415303089185 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.2000E-3 " "
y[1] (analytic) = 0.990842449482288 " "
y[1] (numeric) = 0.990842449482288 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.3000E-3 " "
y[1] (analytic) = 0.9907433787472327 " "
y[1] (numeric) = 0.9907433787472328 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.120595956976268200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.399999999999998000E-3 " "
y[1] (analytic) = 0.990644318104744 " "
y[1] (numeric) = 0.990644318104744 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.499999999999998000E-3 " "
y[1] (analytic) = 0.990545267555812 " "
y[1] (numeric) = 0.990545267555812 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.599999999999997000E-3 " "
y[1] (analytic) = 0.9904462271014274 " "
y[1] (numeric) = 0.9904462271014273 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.120932155877113900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.699999999999996000E-3 " "
y[1] (analytic) = 0.9903471967425802 " "
y[1] (numeric) = 0.9903471967425803 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.121044244156865600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.799999999999996000E-3 " "
y[1] (analytic) = 0.9902481764802612 " "
y[1] (numeric) = 0.9902481764802613 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.121156343424265700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.899999999999995000E-3 " "
y[1] (analytic) = 0.9901491663154605 " "
y[1] (numeric) = 0.9901491663154606 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.1212684536780600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.999999999999996000E-3 " "
y[1] (analytic) = 0.9900501662491681 " "
y[1] (numeric) = 0.9900501662491682 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.121380574916992900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.009999999999999500E-2 " "
y[1] (analytic) = 0.9899511762823741 " "
y[1] (numeric) = 0.9899511762823741 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.019999999999999400E-2 " "
y[1] (analytic) = 0.9898521964160681 " "
y[1] (numeric) = 0.9898521964160681 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.029999999999999200E-2 " "
y[1] (analytic) = 0.9897532266512402 " "
y[1] (numeric) = 0.9897532266512403 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.121717004532046100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.039999999999999300E-2 " "
y[1] (analytic) = 0.98965426698888 " "
y[1] (numeric) = 0.9896542669888803 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.243658339397896500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.049999999999999300E-2 " "
y[1] (analytic) = 0.9895553174299774 " "
y[1] (numeric) = 0.9895553174299775 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.121941345844688200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.059999999999999100E-2 " "
y[1] (analytic) = 0.9894563779755212 " "
y[1] (numeric) = 0.9894563779755216 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.366160598904006700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.06999999999999900E-2 " "
y[1] (analytic) = 0.9893574486265017 " "
y[1] (numeric) = 0.9893574486265018 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.12216573106762310000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.07999999999999900E-2 " "
y[1] (analytic) = 0.9892585293839075 " "
y[1] (numeric) = 0.9892585293839075 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.08999999999999900E-2 " "
y[1] (analytic) = 0.9891596202487278 " "
y[1] (numeric) = 0.9891596202487279 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.122390160190715200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.099999999999998900E-2 " "
y[1] (analytic) = 0.9890607212219521 " "
y[1] (numeric) = 0.9890607212219522 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.122502391211646100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.109999999999998800E-2 " "
y[1] (analytic) = 0.988961832304569 " "
y[1] (numeric) = 0.9889618323045692 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.245229266407609600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.119999999999998800E-2 " "
y[1] (analytic) = 0.9888629534975677 " "
y[1] (numeric) = 0.9888629534975679 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.245453772331835000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.129999999999998800E-2 " "
y[1] (analytic) = 0.9887640848019369 " "
y[1] (numeric) = 0.988764084801937 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.122839150096708500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.139999999999998700E-2 " "
y[1] (analytic) = 0.9886652262186651 " "
y[1] (numeric) = 0.9886652262186653 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.122951424994901300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.149999999999998500E-2 " "
y[1] (analytic) = 0.9885663777487411 " "
y[1] (numeric) = 0.9885663777487412 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.123063710859217900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.159999999999998500E-2 " "
y[1] (analytic) = 0.9884675393931533 " "
y[1] (numeric) = 0.9884675393931535 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.12317600768837800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.169999999999998500E-2 " "
y[1] (analytic) = 0.9883687111528902 " "
y[1] (numeric) = 0.9883687111528903 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.123288315481100800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.179999999999998400E-2 " "
y[1] (analytic) = 0.9882698930289399 " "
y[1] (numeric) = 0.98826989302894 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.123400634236102900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.189999999999998300E-2 " "
y[1] (analytic) = 0.9881710850222907 " "
y[1] (numeric) = 0.9881710850222908 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.123512963952100000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.199999999999998300E-2 " "
y[1] (analytic) = 0.9880722871339307 " "
y[1] (numeric) = 0.9880722871339307 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.209999999999998300E-2 " "
y[1] (analytic) = 0.9879734993648476 " "
y[1] (numeric) = 0.9879734993648477 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.123737656261935400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.219999999999998200E-2 " "
y[1] (analytic) = 0.9878747217160295 " "
y[1] (numeric) = 0.9878747217160297 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.24770003770639400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.229999999999998000E-2 " "
y[1] (analytic) = 0.9877759541884643 " "
y[1] (numeric) = 0.9877759541884645 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.247924784800602300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.23999999999999800E-2 " "
y[1] (analytic) = 0.9876771967831396 " "
y[1] (numeric) = 0.9876771967831398 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.24814955380391120000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.24999999999999800E-2 " "
y[1] (analytic) = 0.987578449501043 " "
y[1] (numeric) = 0.9875784495010431 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.12418717235686700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.25999999999999780E-2 " "
y[1] (analytic) = 0.9874797123431617 " "
y[1] (numeric) = 0.9874797123431619 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.248599157527481400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.269999999999997800E-2 " "
y[1] (analytic) = 0.9873809853104834 " "
y[1] (numeric) = 0.9873809853104836 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.248823992242559600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.279999999999997800E-2 " "
y[1] (analytic) = 0.9872822684039951 " "
y[1] (numeric) = 0.9872822684039954 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.24904884885637200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.289999999999997800E-2 " "
y[1] (analytic) = 0.9871835616246842 " "
y[1] (numeric) = 0.9871835616246845 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.249273727366320500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.299999999999997800E-2 " "
y[1] (analytic) = 0.9870848649735376 " "
y[1] (numeric) = 0.9870848649735379 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.249498627769801800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.309999999999997600E-2 " "
y[1] (analytic) = 0.9869861784515426 " "
y[1] (numeric) = 0.9869861784515427 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.124861775032105500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.319999999999997600E-2 " "
y[1] (analytic) = 0.9868875020596856 " "
y[1] (numeric) = 0.9868875020596857 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.124974247123469900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.329999999999997600E-2 " "
y[1] (analytic) = 0.9867888357989535 " "
y[1] (numeric) = 0.9867888357989536 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.125086730157688200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.339999999999997300E-2 " "
y[1] (analytic) = 0.9866901796703331 " "
y[1] (numeric) = 0.9866901796703332 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.125199224133453400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.349999999999997300E-2 " "
y[1] (analytic) = 0.9865915336748108 " "
y[1] (numeric) = 0.986591533674811 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.250623458098913500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.359999999999997300E-2 " "
y[1] (analytic) = 0.9864928978133732 " "
y[1] (numeric) = 0.9864928978133735 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.250848489808774700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.369999999999997300E-2 " "
y[1] (analytic) = 0.9863942720870069 " "
y[1] (numeric) = 0.9863942720870069 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.379999999999997300E-2 " "
y[1] (analytic) = 0.9862956564966976 " "
y[1] (numeric) = 0.9862956564966977 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.125649309425782600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.389999999999997000E-2 " "
y[1] (analytic) = 0.9861970510434317 " "
y[1] (numeric) = 0.9861970510434319 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.25152371617923800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.39999999999999700E-2 " "
y[1] (analytic) = 0.9860984557281954 " "
y[1] (numeric) = 0.9860984557281955 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.125874417687126300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.40999999999999700E-2 " "
y[1] (analytic) = 0.9859998705519744 " "
y[1] (numeric) = 0.9859998705519746 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.251973976433973600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.41999999999999680E-2 " "
y[1] (analytic) = 0.9859012955157547 " "
y[1] (numeric) = 0.9859012955157549 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.252199139355761700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.429999999999996800E-2 " "
y[1] (analytic) = 0.9858027306205221 " "
y[1] (numeric) = 0.9858027306205223 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.12621216206848700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.439999999999996800E-2 " "
y[1] (analytic) = 0.9857041758672623 " "
y[1] (numeric) = 0.9857041758672623 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.449999999999996800E-2 " "
y[1] (analytic) = 0.9856056312569605 " "
y[1] (numeric) = 0.9856056312569607 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.12643737963354500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.459999999999996900E-2 " "
y[1] (analytic) = 0.9855070967906024 " "
y[1] (numeric) = 0.9855070967906027 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.253100009610693700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.469999999999996600E-2 " "
y[1] (analytic) = 0.9854085724691738 " "
y[1] (numeric) = 0.9854085724691737 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.12666264090156090000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.479999999999996600E-2 " "
y[1] (analytic) = 0.9853100582936588 " "
y[1] (numeric) = 0.985310058293659 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.253550575841719600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.489999999999996600E-2 " "
y[1] (analytic) = 0.9852115542650437 " "
y[1] (numeric) = 0.9852115542650437 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.499999999999996300E-2 " "
y[1] (analytic) = 0.9851130603843128 " "
y[1] (numeric) = 0.9851130603843129 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.12700061472338600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.509999999999996300E-2 " "
y[1] (analytic) = 0.9850145766524513 " "
y[1] (numeric) = 0.9850145766524514 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.127113294503948500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.519999999999996400E-2 " "
y[1] (analytic) = 0.9849161030704441 " "
y[1] (numeric) = 0.9849161030704442 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.127225985202264700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.529999999999996400E-2 " "
y[1] (analytic) = 0.9848176396392758 " "
y[1] (numeric) = 0.9848176396392759 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.127338686816997800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.539999999999996400E-2 " "
y[1] (analytic) = 0.9847191863599312 " "
y[1] (numeric) = 0.9847191863599313 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.1274513993468100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.549999999999996000E-2 " "
y[1] (analytic) = 0.9846207432333947 " "
y[1] (numeric) = 0.9846207432333948 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.127564122790361600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.559999999999996000E-2 " "
y[1] (analytic) = 0.9845223102606505 " "
y[1] (numeric) = 0.9845223102606507 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.255353714292624000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.56999999999999600E-2 " "
y[1] (analytic) = 0.9844238874426835 " "
y[1] (numeric) = 0.9844238874426836 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.127789602413317600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.57999999999999590E-2 " "
y[1] (analytic) = 0.9843254747804774 " "
y[1] (numeric) = 0.9843254747804776 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.2558047171800702000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.58999999999999590E-2 " "
y[1] (analytic) = 0.9842270722750167 " "
y[1] (numeric) = 0.9842270722750168 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.128015125675118200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.59999999999999600E-2 " "
y[1] (analytic) = 0.9841286799272853 " "
y[1] (numeric) = 0.9841286799272854 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.128127903667219700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.609999999999996000E-2 " "
y[1] (analytic) = 0.984030297738267 " "
y[1] (numeric) = 0.9840302977382671 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.12824069256499100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.619999999999996000E-2 " "
y[1] (analytic) = 0.9839319257089457 " "
y[1] (numeric) = 0.9839319257089458 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.128353492367081400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.629999999999995600E-2 " "
y[1] (analytic) = 0.9838335638403051 " "
y[1] (numeric) = 0.9838335638403053 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.256932606144278500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.639999999999995600E-2 " "
y[1] (analytic) = 0.983735212133329 " "
y[1] (numeric) = 0.9837352121333292 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.128579124678810600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.649999999999995600E-2 " "
y[1] (analytic) = 0.9836368705890008 " "
y[1] (numeric) = 0.9836368705890008 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.659999999999995400E-2 " "
y[1] (analytic) = 0.9835385392083037 " "
y[1] (numeric) = 0.9835385392083038 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.128804800591573200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.669999999999995400E-2 " "
y[1] (analytic) = 0.9834402179922214 " "
y[1] (numeric) = 0.9834402179922214 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.679999999999995400E-2 " "
y[1] (analytic) = 0.9833419069417365 " "
y[1] (numeric) = 0.9833419069417367 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.25806104018902080000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.689999999999995400E-2 " "
y[1] (analytic) = 0.9832436060578328 " "
y[1] (numeric) = 0.983243606057833 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.258286792377788600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.699999999999995400E-2 " "
y[1] (analytic) = 0.9831453153414933 " "
y[1] (numeric) = 0.9831453153414933 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.709999999999995000E-2 " "
y[1] (analytic) = 0.9830470347937004 " "
y[1] (numeric) = 0.9830470347937004 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.71999999999999510E-2 " "
y[1] (analytic) = 0.982948764415437 " "
y[1] (numeric) = 0.9829487644154371 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.129482089827347200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.72999999999999520E-2 " "
y[1] (analytic) = 0.982850504207686 " "
y[1] (numeric) = 0.9828505042076862 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.129595009487379300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.73999999999999500E-2 " "
y[1] (analytic) = 0.98275225417143 " "
y[1] (numeric) = 0.9827522541714302 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.25941588007080920000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.74999999999999500E-2 " "
y[1] (analytic) = 0.9826540143076514 " "
y[1] (numeric) = 0.9826540143076516 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.259641762940105500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.75999999999999500E-2 " "
y[1] (analytic) = 0.9825557846173328 " "
y[1] (numeric) = 0.982555784617333 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.129933833789951300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.76999999999999500E-2 " "
y[1] (analytic) = 0.9824575651014562 " "
y[1] (numeric) = 0.9824575651014564 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.260093593987454000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.779999999999995000E-2 " "
y[1] (analytic) = 0.9823593557610041 " "
y[1] (numeric) = 0.9823593557610042 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.13015977108000400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.789999999999994700E-2 " "
y[1] (analytic) = 0.9822611565969585 " "
y[1] (numeric) = 0.9822611565969585 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.799999999999994700E-2 " "
y[1] (analytic) = 0.982162967610301 " "
y[1] (numeric) = 0.9821629676103011 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.13038575189455400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.809999999999994700E-2 " "
y[1] (analytic) = 0.9820647888020142 " "
y[1] (numeric) = 0.9820647888020141 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.130498758620068400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.819999999999994400E-2 " "
y[1] (analytic) = 0.9819666201730791 " "
y[1] (numeric) = 0.9819666201730791 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.829999999999994400E-2 " "
y[1] (analytic) = 0.981868461724478 " "
y[1] (numeric) = 0.981868461724478 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.839999999999994400E-2 " "
y[1] (analytic) = 0.9817703134571922 " "
y[1] (numeric) = 0.9817703134571922 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.849999999999994400E-2 " "
y[1] (analytic) = 0.9816721753722033 " "
y[1] (numeric) = 0.9816721753722033 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.859999999999994400E-2 " "
y[1] (analytic) = 0.9815740474704927 " "
y[1] (numeric) = 0.9815740474704926 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.13106395537472800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.869999999999994200E-2 " "
y[1] (analytic) = 0.9814759297530415 " "
y[1] (numeric) = 0.9814759297530414 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.131177027341373800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.879999999999994200E-2 " "
y[1] (analytic) = 0.981377822220831 " "
y[1] (numeric) = 0.981377822220831 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.88999999999999420E-2 " "
y[1] (analytic) = 0.9812797248748423 " "
y[1] (numeric) = 0.9812797248748424 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.131403203879261200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.89999999999999400E-2 " "
y[1] (analytic) = 0.9811816377160564 " "
y[1] (numeric) = 0.9811816377160565 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.131516308447716200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.90999999999999400E-2 " "
y[1] (analytic) = 0.9810835607454542 " "
y[1] (numeric) = 0.9810835607454541 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.131629423880651500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.91999999999999400E-2 " "
y[1] (analytic) = 0.9809854939640164 " "
y[1] (numeric) = 0.9809854939640161 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.263485100353340700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.92999999999999400E-2 " "
y[1] (analytic) = 0.9808874373727231 " "
y[1] (numeric) = 0.9808874373727232 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.131855687334374400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.939999999999994000E-2 " "
y[1] (analytic) = 0.980789390972556 " "
y[1] (numeric) = 0.9807893909725559 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.13196883535236200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.949999999999993700E-2 " "
y[1] (analytic) = 0.9806913547644946 " "
y[1] (numeric) = 0.9806913547644948 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.132081994229232200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.959999999999993700E-2 " "
y[1] (analytic) = 0.98059332874952 " "
y[1] (numeric) = 0.98059332874952 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.969999999999993700E-2 " "
y[1] (analytic) = 0.9804953129286119 " "
y[1] (numeric) = 0.9804953129286119 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.979999999999993400E-2 " "
y[1] (analytic) = 0.9803973073027509 " "
y[1] (numeric) = 0.9803973073027508 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.132421535999093700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.989999999999993400E-2 " "
y[1] (analytic) = 0.9802993118729166 " "
y[1] (numeric) = 0.9802993118729165 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.132534738297442400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.999999999999993400E-2 " "
y[1] (analytic) = 0.9802013266400892 " "
y[1] (numeric) = 0.9802013266400892 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.009999999999993500E-2 " "
y[1] (analytic) = 0.9801033516052486 " "
y[1] (numeric) = 0.9801033516052485 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.132761175448276200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.019999999999993500E-2 " "
y[1] (analytic) = 0.9800053867693744 " "
y[1] (numeric) = 0.9800053867693743 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.132874410297936800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.029999999999993200E-2 " "
y[1] (analytic) = 0.9799074321334461 " "
y[1] (numeric) = 0.9799074321334462 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.13298765599520800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.039999999999993200E-2 " "
y[1] (analytic) = 0.979809487698444 " "
y[1] (numeric) = 0.9798094876984438 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.26620182507734580000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.04999999999999320E-2 " "
y[1] (analytic) = 0.9797115534653467 " "
y[1] (numeric) = 0.9797115534653466 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.133214179926914800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.05999999999999300E-2 " "
y[1] (analytic) = 0.9796136294351339 " "
y[1] (numeric) = 0.9796136294351337 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.133327458158513900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.06999999999999300E-2 " "
y[1] (analytic) = 0.9795157156087846 " "
y[1] (numeric) = 0.9795157156087846 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.07999999999999300E-2 " "
y[1] (analytic) = 0.9794178119872784 " "
y[1] (numeric) = 0.9794178119872783 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.13355404714609890000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.08999999999999300E-2 " "
y[1] (analytic) = 0.9793199185715941 " "
y[1] (numeric) = 0.9793199185715938 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.267334715798477200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.09999999999999300E-2 " "
y[1] (analytic) = 0.9792220353627104 " "
y[1] (numeric) = 0.9792220353627102 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.133780679490042900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.109999999999992700E-2 " "
y[1] (analytic) = 0.9791241623616063 " "
y[1] (numeric) = 0.9791241623616063 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.119999999999992700E-2 " "
y[1] (analytic) = 0.9790262995692609 " "
y[1] (numeric) = 0.9790262995692607 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.268014710357868500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.129999999999992700E-2 " "
y[1] (analytic) = 0.978928446986652 " "
y[1] (numeric) = 0.978928446986652 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.139999999999992500E-2 " "
y[1] (analytic) = 0.9788306046147591 " "
y[1] (numeric) = 0.9788306046147589 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.268468148402674500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.149999999999992500E-2 " "
y[1] (analytic) = 0.97873277245456 " "
y[1] (numeric) = 0.9787327724545598 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.268694899918049200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.159999999999992500E-2 " "
y[1] (analytic) = 0.9786349505070331 " "
y[1] (numeric) = 0.978634950507033 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.1344608365457900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.169999999999992500E-2 " "
y[1] (analytic) = 0.9785371387731566 " "
y[1] (numeric) = 0.9785371387731566 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.179999999999992500E-2 " "
y[1] (analytic) = 0.9784393372539089 " "
y[1] (numeric) = 0.9784393372539089 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.189999999999992200E-2 " "
y[1] (analytic) = 0.9783415459502678 " "
y[1] (numeric) = 0.9783415459502677 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.134801061266177300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.199999999999992200E-2 " "
y[1] (analytic) = 0.9782437648632111 " "
y[1] (numeric) = 0.9782437648632111 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.209999999999992200E-2 " "
y[1] (analytic) = 0.9781459939937169 " "
y[1] (numeric) = 0.9781459939937168 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.13502793186544300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.21999999999999200E-2 " "
y[1] (analytic) = 0.9780482333427626 " "
y[1] (numeric) = 0.9780482333427626 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.22999999999999200E-2 " "
y[1] (analytic) = 0.977950482911326 " "
y[1] (numeric) = 0.977950482911326 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.23999999999999200E-2 " "
y[1] (analytic) = 0.9778527427003847 " "
y[1] (numeric) = 0.9778527427003846 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.135368318913976100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.24999999999999200E-2 " "
y[1] (analytic) = 0.9777550127109157 " "
y[1] (numeric) = 0.9777550127109157 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.25999999999999200E-2 " "
y[1] (analytic) = 0.9776572929438968 " "
y[1] (numeric) = 0.9776572929438967 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.135595297695863500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.269999999999991700E-2 " "
y[1] (analytic) = 0.9775595834003049 " "
y[1] (numeric) = 0.9775595834003048 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.135708803307313900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.279999999999991800E-2 " "
y[1] (analytic) = 0.977461884081117 " "
y[1] (numeric) = 0.977461884081117 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.289999999999991800E-2 " "
y[1] (analytic) = 0.9773641949873105 " "
y[1] (numeric) = 0.9773641949873104 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.13593584696395700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.299999999999991500E-2 " "
y[1] (analytic) = 0.9772665161198618 " "
y[1] (numeric) = 0.9772665161198618 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.309999999999991500E-2 " "
y[1] (analytic) = 0.9771688474797482 " "
y[1] (numeric) = 0.9771688474797481 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.136162933855876800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.319999999999991500E-2 " "
y[1] (analytic) = 0.977071189067946 " "
y[1] (numeric) = 0.9770711890679459 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.136276493511417200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.329999999999991500E-2 " "
y[1] (analytic) = 0.9769735408854316 " "
y[1] (numeric) = 0.9769735408854318 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.136390063971395600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.339999999999991500E-2 " "
y[1] (analytic) = 0.9768759029331823 " "
y[1] (numeric) = 0.9768759029331822 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.136503645234347700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.349999999999991300E-2 " "
y[1] (analytic) = 0.9767782752121735 " "
y[1] (numeric) = 0.9767782752121735 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.359999999999991300E-2 " "
y[1] (analytic) = 0.9766806577233822 " "
y[1] (numeric) = 0.9766806577233822 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.369999999999991300E-2 " "
y[1] (analytic) = 0.9765830504677843 " "
y[1] (numeric) = 0.9765830504677843 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.37999999999999100E-2 " "
y[1] (analytic) = 0.9764854534463558 " "
y[1] (numeric) = 0.9764854534463558 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.38999999999999100E-2 " "
y[1] (analytic) = 0.9763878666600729 " "
y[1] (numeric) = 0.9763878666600728 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.137071713542378400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.39999999999999100E-2 " "
y[1] (analytic) = 0.9762902901099113 " "
y[1] (numeric) = 0.9762902901099112 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.137185359592347300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.40999999999999100E-2 " "
y[1] (analytic) = 0.9761927237968466 " "
y[1] (numeric) = 0.9761927237968466 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.41999999999999100E-2 " "
y[1] (analytic) = 0.9760951677218549 " "
y[1] (numeric) = 0.9760951677218548 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.137412684068857400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.42999999999999080E-2 " "
y[1] (analytic) = 0.9759976218859113 " "
y[1] (numeric) = 0.9759976218859113 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.439999999999990800E-2 " "
y[1] (analytic) = 0.9759000862899915 " "
y[1] (numeric) = 0.9759000862899916 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.137640051704279400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.449999999999990800E-2 " "
y[1] (analytic) = 0.9758025609350709 " "
y[1] (numeric) = 0.975802560935071 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.137753751702881400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.459999999999990500E-2 " "
y[1] (analytic) = 0.9757050458221246 " "
y[1] (numeric) = 0.9757050458221248 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.275734924973535600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.469999999999990500E-2 " "
y[1] (analytic) = 0.9756075409521281 " "
y[1] (numeric) = 0.9756075409521281 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.479999999999990500E-2 " "
y[1] (analytic) = 0.975510046326056 " "
y[1] (numeric) = 0.975510046326056 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.489999999999990600E-2 " "
y[1] (analytic) = 0.9754125619448835 " "
y[1] (numeric) = 0.9754125619448833 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.138208659535277400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.499999999999990600E-2 " "
y[1] (analytic) = 0.9753150878095851 " "
y[1] (numeric) = 0.9753150878095851 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.509999999999990600E-2 " "
y[1] (analytic) = 0.975217623921136 " "
y[1] (numeric) = 0.975217623921136 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.519999999999990000E-2 " "
y[1] (analytic) = 0.9751201702805106 " "
y[1] (numeric) = 0.9751201702805107 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.138549953597802500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.529999999999990000E-2 " "
y[1] (analytic) = 0.9750227268886837 " "
y[1] (numeric) = 0.9750227268886836 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.138663739837018500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.539999999999990000E-2 " "
y[1] (analytic) = 0.9749252937466293 " "
y[1] (numeric) = 0.9749252937466293 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.5499999999999900E-2 " "
y[1] (analytic) = 0.9748278708553221 " "
y[1] (numeric) = 0.974827870855322 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.138891344634040500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.5599999999999900E-2 " "
y[1] (analytic) = 0.9747304582157359 " "
y[1] (numeric) = 0.974730458215736 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.139005163188849800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.5699999999999900E-2 " "
y[1] (analytic) = 0.9746330558288455 " "
y[1] (numeric) = 0.9746330558288454 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.139118992512523500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.5799999999999900E-2 " "
y[1] (analytic) = 0.9745356636956245 " "
y[1] (numeric) = 0.9745356636956243 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.2784656652071200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.5899999999999900E-2 " "
y[1] (analytic) = 0.9744382818170466 " "
y[1] (numeric) = 0.9744382818170465 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.139346683460455300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.599999999999990000E-2 " "
y[1] (analytic) = 0.9743409101940859 " "
y[1] (numeric) = 0.9743409101940859 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.609999999999989600E-2 " "
y[1] (analytic) = 0.9742435488277164 " "
y[1] (numeric) = 0.9742435488277161 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.279148834931595800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.619999999999989600E-2 " "
y[1] (analytic) = 0.9741461977189109 " "
y[1] (numeric) = 0.9741461977189109 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.629999999999989600E-2 " "
y[1] (analytic) = 0.9740488568686437 " "
y[1] (numeric) = 0.9740488568686436 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.13980219451648800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.639999999999989600E-2 " "
y[1] (analytic) = 0.9739515262778881 " "
y[1] (numeric) = 0.9739515262778878 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.279832198360121400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.649999999999989600E-2 " "
y[1] (analytic) = 0.973854205947617 " "
y[1] (numeric) = 0.9738542059476167 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.280060029200869400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.659999999999989600E-2 " "
y[1] (analytic) = 0.9737568958788038 " "
y[1] (numeric) = 0.9737568958788037 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.140143940776094700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.669999999999989600E-2 " "
y[1] (analytic) = 0.9736595960724217 " "
y[1] (numeric) = 0.9736595960724216 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.140257877705523200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.679999999999989000E-2 " "
y[1] (analytic) = 0.9735623065294436 " "
y[1] (numeric) = 0.9735623065294435 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.140371825387202100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.689999999999989000E-2 " "
y[1] (analytic) = 0.9734650272508425 " "
y[1] (numeric) = 0.9734650272508424 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.140485783819611500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.699999999999989000E-2 " "
y[1] (analytic) = 0.9733677582375909 " "
y[1] (numeric) = 0.9733677582375909 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.70999999999998900E-2 " "
y[1] (analytic) = 0.973270499490662 " "
y[1] (numeric) = 0.9732704994906619 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.14071373293053200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.71999999999998900E-2 " "
y[1] (analytic) = 0.973173251011028 " "
y[1] (numeric) = 0.9731732510110279 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.140827723605995000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.72999999999998900E-2 " "
y[1] (analytic) = 0.9730760127996615 " "
y[1] (numeric) = 0.9730760127996614 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.140941725026091300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.73999999999998900E-2 " "
y[1] (analytic) = 0.9729787848575349 " "
y[1] (numeric) = 0.9729787848575348 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.141055737189292700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.74999999999998900E-2 " "
y[1] (analytic) = 0.9728815671856202 " "
y[1] (numeric) = 0.9728815671856202 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.75999999999998900E-2 " "
y[1] (analytic) = 0.97278435978489 " "
y[1] (numeric) = 0.9727843597848901 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.1412837937388899000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.769999999999988600E-2 " "
y[1] (analytic) = 0.972687162656316 " "
y[1] (numeric) = 0.9726871626563163 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.282795676244442600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.779999999999988600E-2 " "
y[1] (analytic) = 0.9725899758008707 " "
y[1] (numeric) = 0.9725899758008708 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.141511893242528200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.789999999999988600E-2 " "
y[1] (analytic) = 0.9724927992195256 " "
y[1] (numeric) = 0.9724927992195256 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.799999999999988600E-2 " "
y[1] (analytic) = 0.9723956329132523 " "
y[1] (numeric) = 0.9723956329132524 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.141740035687922500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.809999999999988600E-2 " "
y[1] (analytic) = 0.972298476883023 " "
y[1] (numeric) = 0.9722984768830228 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.141854123009931700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.819999999999988600E-2 " "
y[1] (analytic) = 0.9722013311298086 " "
y[1] (numeric) = 0.9722013311298086 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.829999999999988600E-2 " "
y[1] (analytic) = 0.972104195654581 " "
y[1] (numeric) = 0.972104195654581 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.839999999999988000E-2 " "
y[1] (analytic) = 0.9720070704583111 " "
y[1] (numeric) = 0.9720070704583114 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.284392898709420300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.849999999999988000E-2 " "
y[1] (analytic) = 0.9719099555419707 " "
y[1] (numeric) = 0.971909955541971 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.42693173877221300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.859999999999988000E-2 " "
y[1] (analytic) = 0.9718128509065309 " "
y[1] (numeric) = 0.9718128509065311 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.284849441102807500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.869999999999988000E-2 " "
y[1] (analytic) = 0.9717157565529624 " "
y[1] (numeric) = 0.9717157565529627 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.427616616705478300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.87999999999998800E-2 " "
y[1] (analytic) = 0.9716186724822364 " "
y[1] (numeric) = 0.9716186724822368 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.42795910392136100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.88999999999998800E-2 " "
y[1] (analytic) = 0.9715215986953236 " "
y[1] (numeric) = 0.9715215986953241 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.571068831062934400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.89999999999998800E-2 " "
y[1] (analytic) = 0.971424535193195 " "
y[1] (numeric) = 0.9714245351931954 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.428644174828333600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.90999999999998800E-2 " "
y[1] (analytic) = 0.9713274819768212 " "
y[1] (numeric) = 0.9713274819768213 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.142995586170030600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.91999999999998800E-2 " "
y[1] (analytic) = 0.9712304390471721 " "
y[1] (numeric) = 0.9712304390471723 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.286219582891869700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.929999999999987600E-2 " "
y[1] (analytic) = 0.9711334064052187 " "
y[1] (numeric) = 0.9711334064052191 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.429672022306791700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.939999999999987600E-2 " "
y[1] (analytic) = 0.9710363840519315 " "
y[1] (numeric) = 0.9710363840519317 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.286676468274913300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.949999999999987600E-2 " "
y[1] (analytic) = 0.9709393719882804 " "
y[1] (numeric) = 0.9709393719882805 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.14345247154995100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.959999999999987600E-2 " "
y[1] (analytic) = 0.9708423702152352 " "
y[1] (numeric) = 0.9708423702152356 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.4307001590145497000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.969999999999987600E-2 " "
y[1] (analytic) = 0.9707453787337665 " "
y[1] (numeric) = 0.9707453787337669 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.43104293550175900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.979999999999987700E-2 " "
y[1] (analytic) = 0.9706483975448441 " "
y[1] (numeric) = 0.9706483975448444 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.43138574410678100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.989999999999987700E-2 " "
y[1] (analytic) = 0.9705514266494377 " "
y[1] (numeric) = 0.9705514266494379 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.28781905654993800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.999999999999987000E-2 " "
y[1] (analytic) = 0.9704544660485169 " "
y[1] (numeric) = 0.9704544660485173 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.43207145765142550000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.009999999999987000E-2 " "
y[1] (analytic) = 0.9703575157430516 " "
y[1] (numeric) = 0.9703575157430518 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.28827624172107900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.019999999999987000E-2 " "
y[1] (analytic) = 0.970260575734011 " "
y[1] (numeric) = 0.9702605757340113 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.288504866407176400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.029999999999987000E-2 " "
y[1] (analytic) = 0.9701636460223646 " "
y[1] (numeric) = 0.9701636460223649 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.433100268734136700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.03999999999998700E-2 " "
y[1] (analytic) = 0.9700667266090819 " "
y[1] (numeric) = 0.9700667266090821 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.288962179964667600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.04999999999998700E-2 " "
y[1] (analytic) = 0.969969817495132 " "
y[1] (numeric) = 0.969969817495132 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.05999999999998700E-2 " "
y[1] (analytic) = 0.9698729186814835 " "
y[1] (numeric) = 0.9698729186814837 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.289419579081505600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.06999999999998700E-2 " "
y[1] (analytic) = 0.9697760301691061 " "
y[1] (numeric) = 0.9697760301691063 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.28964831071677400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.07999999999998700E-2 " "
y[1] (analytic) = 0.9696791519589685 " "
y[1] (numeric) = 0.9696791519589686 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.14493853186619310000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.08999999999998660E-2 " "
y[1] (analytic) = 0.9695822840520392 " "
y[1] (numeric) = 0.9695822840520393 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.145052919062585600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.099999999999986700E-2 " "
y[1] (analytic) = 0.969485426449287 " "
y[1] (numeric) = 0.9694854264492871 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.145167316945977200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.109999999999986700E-2 " "
y[1] (analytic) = 0.9693885791516808 " "
y[1] (numeric) = 0.9693885791516808 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.119999999999986700E-2 " "
y[1] (analytic) = 0.9692917421601884 " "
y[1] (numeric) = 0.9692917421601885 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.145396144767400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.12999999999998700E-2 " "
y[1] (analytic) = 0.9691949154757787 " "
y[1] (numeric) = 0.9691949154757789 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.145510574702248600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.13999999999998700E-2 " "
y[1] (analytic) = 0.96909809909942 " "
y[1] (numeric) = 0.96909809909942 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.149999999999987000E-2 " "
y[1] (analytic) = 0.9690012930320803 " "
y[1] (numeric) = 0.9690012930320803 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.15999999999998800E-2 " "
y[1] (analytic) = 0.9689044972747274 " "
y[1] (numeric) = 0.9689044972747275 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.145853928584211200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.16999999999998840E-2 " "
y[1] (analytic) = 0.9688077118283297 " "
y[1] (numeric) = 0.9688077118283298 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.145968401232013900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.179999999999988400E-2 " "
y[1] (analytic) = 0.9687109366938548 " "
y[1] (numeric) = 0.968710936693855 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.29216576910811600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.18999999999998840E-2 " "
y[1] (analytic) = 0.9686141718722706 " "
y[1] (numeric) = 0.9686141718722707 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.146197378548741300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.19999999999998900E-2 " "
y[1] (analytic) = 0.9685174173645447 " "
y[1] (numeric) = 0.9685174173645448 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.146311883214460200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.20999999999998950E-2 " "
y[1] (analytic) = 0.9684206731716444 " "
y[1] (numeric) = 0.9684206731716446 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.292852797099218500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.219999999999989500E-2 " "
y[1] (analytic) = 0.9683239392945375 " "
y[1] (numeric) = 0.9683239392945377 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.293081849105162400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.2299999999999895E-2 " "
y[1] (analytic) = 0.9682272157341913 " "
y[1] (numeric) = 0.9682272157341915 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.14665546122176700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.2399999999999900E-2 " "
y[1] (analytic) = 0.9681305024915728 " "
y[1] (numeric) = 0.9681305024915731 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.293540017111113700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.249999999999990700E-2 " "
y[1] (analytic) = 0.9680337995676495 " "
y[1] (numeric) = 0.9680337995676496 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.14688456655233800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.25999999999999070E-2 " "
y[1] (analytic) = 0.9679371069633878 " "
y[1] (numeric) = 0.9679371069633881 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.440997405631492400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.26999999999999070E-2 " "
y[1] (analytic) = 0.9678404246797553 " "
y[1] (numeric) = 0.9678404246797555 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.294227429056838000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.27999999999999100E-2 " "
y[1] (analytic) = 0.9677437527177185 " "
y[1] (numeric) = 0.9677437527177187 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.294456609008971600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.289999999999992000E-2 " "
y[1] (analytic) = 0.9676470910782441 " "
y[1] (numeric) = 0.9676470910782444 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.442028715411238000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.29999999999999200E-2 " "
y[1] (analytic) = 0.9675504397622989 " "
y[1] (numeric) = 0.9675504397622992 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.294915032849157400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.30999999999999200E-2 " "
y[1] (analytic) = 0.9674537987708494 " "
y[1] (numeric) = 0.9674537987708495 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.147572138365362300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.319999999999992400E-2 " "
y[1] (analytic) = 0.9673571681048614 " "
y[1] (numeric) = 0.9673571681048618 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.590747083831226400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.32999999999999300E-2 " "
y[1] (analytic) = 0.9672605477653022 " "
y[1] (numeric) = 0.9672605477653025 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.295602828400570600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.33999999999999300E-2 " "
y[1] (analytic) = 0.9671639377531374 " "
y[1] (numeric) = 0.9671639377531376 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.295832136182344200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.34999999999999300E-2 " "
y[1] (analytic) = 0.967067338069333 " "
y[1] (numeric) = 0.9670673380693333 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.44409219788651400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.359999999999993500E-2 " "
y[1] (analytic) = 0.9669707487148553 " "
y[1] (numeric) = 0.9669707487148557 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.44443622343495800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.36999999999999400E-2 " "
y[1] (analytic) = 0.9668741696906705 " "
y[1] (numeric) = 0.9668741696906705 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.37999999999999400E-2 " "
y[1] (analytic) = 0.9667776009977437 " "
y[1] (numeric) = 0.9667776009977437 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.389999999999994000E-2 " "
y[1] (analytic) = 0.9666810426370407 " "
y[1] (numeric) = 0.9666810426370408 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.148489497214658400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.39999999999999470E-2 " "
y[1] (analytic) = 0.9665844946095274 " "
y[1] (numeric) = 0.9665844946095276 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.148604214961729800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.40999999999999500E-2 " "
y[1] (analytic) = 0.9664879569161692 " "
y[1] (numeric) = 0.9664879569161693 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.148718943345772700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.41999999999999500E-2 " "
y[1] (analytic) = 0.9663914295579314 " "
y[1] (numeric) = 0.9663914295579314 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.429999999999995000E-2 " "
y[1] (analytic) = 0.9662949125357793 " "
y[1] (numeric) = 0.9662949125357794 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.148948432018209600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.43999999999999600E-2 " "
y[1] (analytic) = 0.9661984058506782 " "
y[1] (numeric) = 0.9661984058506782 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.44999999999999640E-2 " "
y[1] (analytic) = 0.9661019095035929 " "
y[1] (numeric) = 0.9661019095035929 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.459999999999996400E-2 " "
y[1] (analytic) = 0.9660054234954882 " "
y[1] (numeric) = 0.9660054234954885 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.29858548952617100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.46999999999999640E-2 " "
y[1] (analytic) = 0.9659089478273295 " "
y[1] (numeric) = 0.9659089478273298 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.448222610803348000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.47999999999999700E-2 " "
y[1] (analytic) = 0.9658124825000814 " "
y[1] (numeric) = 0.9658124825000817 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.29904467946253300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.48999999999999750E-2 " "
y[1] (analytic) = 0.9657160275147084 " "
y[1] (numeric) = 0.9657160275147086 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.299274306303769600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.499999999999997600E-2 " "
y[1] (analytic) = 0.9656195828721751 " "
y[1] (numeric) = 0.9656195828721754 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.449255931583950500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.50999999999999760E-2 " "
y[1] (analytic) = 0.9655231485734461 " "
y[1] (numeric) = 0.9655231485734463 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.299733623715813400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.51999999999999800E-2 " "
y[1] (analytic) = 0.9654267246194854 " "
y[1] (numeric) = 0.9654267246194858 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.449944971419994000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.529999999999998700E-2 " "
y[1] (analytic) = 0.9653303110112577 " "
y[1] (numeric) = 0.9653303110112579 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.300193026078529700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.53999999999999870E-2 " "
y[1] (analytic) = 0.9652339077497267 " "
y[1] (numeric) = 0.965233907749727 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.300422759108093400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.54999999999999870E-2 " "
y[1] (analytic) = 0.9651375148358567 " "
y[1] (numeric) = 0.9651375148358569 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.15032625668268100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.55999999999999900E-2 " "
y[1] (analytic) = 0.9650411322706113 " "
y[1] (numeric) = 0.9650411322706116 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.45132343327051300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.570000000000000000E-2 " "
y[1] (analytic) = 0.9649447600549548 " "
y[1] (numeric) = 0.9649447600549551 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.45166812832455150000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.5800E-2 " "
y[1] (analytic) = 0.9648483981898507 " "
y[1] (numeric) = 0.9648483981898509 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.301341903470105200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.5900E-2 " "
y[1] (analytic) = 0.9647520466762627 " "
y[1] (numeric) = 0.9647520466762628 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.150785871302441400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.600000000000000400E-2 " "
y[1] (analytic) = 0.9646557055151539 " "
y[1] (numeric) = 0.9646557055151542 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.452702404426039600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.61000000000000100E-2 " "
y[1] (analytic) = 0.9645593747074882 " "
y[1] (numeric) = 0.9645593747074885 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.45304722675628600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.62000000000000100E-2 " "
y[1] (analytic) = 0.964463054254229 " "
y[1] (numeric) = 0.9644630542542291 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.151130693631013700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.63000000000000100E-2 " "
y[1] (analytic) = 0.9643667441563389 " "
y[1] (numeric) = 0.964366744156339 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.151245655610426100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.640000000000001600E-2 " "
y[1] (analytic) = 0.9642704444147815 " "
y[1] (numeric) = 0.9642704444147816 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.151360628188655100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.65000000000000200E-2 " "
y[1] (analytic) = 0.9641741550305196 " "
y[1] (numeric) = 0.9641741550305197 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.151475611364021600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.66000000000000200E-2 " "
y[1] (analytic) = 0.9640778760045161 " "
y[1] (numeric) = 0.9640778760045163 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.303181210269689400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.670000000000002000E-2 " "
y[1] (analytic) = 0.9639816073377339 " "
y[1] (numeric) = 0.9639816073377341 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.30341121899888400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.68000000000000270E-2 " "
y[1] (analytic) = 0.9638853490311354 " "
y[1] (numeric) = 0.9638853490311358 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.45546187336838800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.69000000000000300E-2 " "
y[1] (analytic) = 0.9637891010856837 " "
y[1] (numeric) = 0.9637891010856839 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.303871300006440600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.70000000000000330E-2 " "
y[1] (analytic) = 0.963692863502341 " "
y[1] (numeric) = 0.9636928635023411 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.15205068613902800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.710000000000003300E-2 " "
y[1] (analytic) = 0.9635966362820695 " "
y[1] (numeric) = 0.9635966362820696 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.15216573286186300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.72000000000000400E-2 " "
y[1] (analytic) = 0.9635004194258316 " "
y[1] (numeric) = 0.9635004194258318 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.152280790170034100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.73000000000000440E-2 " "
y[1] (analytic) = 0.9634042129345897 " "
y[1] (numeric) = 0.9634042129345897 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.740000000000004400E-2 " "
y[1] (analytic) = 0.9633080168093054 " "
y[1] (numeric) = 0.9633080168093054 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.75000000000000440E-2 " "
y[1] (analytic) = 0.9632118310509409 " "
y[1] (numeric) = 0.9632118310509411 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.305252051179260700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.76000000000000500E-2 " "
y[1] (analytic) = 0.9631156556604582 " "
y[1] (numeric) = 0.9631156556604584 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.305482250444406400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.77000000000000560E-2 " "
y[1] (analytic) = 0.9630194906388192 " "
y[1] (numeric) = 0.9630194906388192 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.780000000000005600E-2 " "
y[1] (analytic) = 0.962923335986985 " "
y[1] (numeric) = 0.9629233359869851 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.152971356216215400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.79000000000000560E-2 " "
y[1] (analytic) = 0.9628271917059176 " "
y[1] (numeric) = 0.9628271917059176 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.80000000000000600E-2 " "
y[1] (analytic) = 0.9627310577965779 " "
y[1] (numeric) = 0.9627310577965781 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.306403259008069400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.810000000000006700E-2 " "
y[1] (analytic) = 0.9626349342599281 " "
y[1] (numeric) = 0.9626349342599281 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.82000000000000700E-2 " "
y[1] (analytic) = 0.9625388210969286 " "
y[1] (numeric) = 0.9625388210969287 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.153431945072017100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.83000000000000700E-2 " "
y[1] (analytic) = 0.962442718308541 " "
y[1] (numeric) = 0.9624427183085411 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.153547118706798700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.84000000000000730E-2 " "
y[1] (analytic) = 0.9623466258957263 " "
y[1] (numeric) = 0.9623466258957263 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.850000000000008000E-2 " "
y[1] (analytic) = 0.9622505438594452 " "
y[1] (numeric) = 0.9622505438594452 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.86000000000000800E-2 " "
y[1] (analytic) = 0.9621544722006584 " "
y[1] (numeric) = 0.9621544722006586 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.30778540598752900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.87000000000000800E-2 " "
y[1] (analytic) = 0.9620584109203274 " "
y[1] (numeric) = 0.9620584109203274 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.880000000000008400E-2 " "
y[1] (analytic) = 0.961962360019412 " "
y[1] (numeric) = 0.961962360019412 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.89000000000000900E-2 " "
y[1] (analytic) = 0.961866319498873 " "
y[1] (numeric) = 0.961866319498873 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.90000000000000900E-2 " "
y[1] (analytic) = 0.9617702893596707 " "
y[1] (numeric) = 0.9617702893596709 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.308707259743536200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.91000000000000900E-2 " "
y[1] (analytic) = 0.9616742696027657 " "
y[1] (numeric) = 0.9616742696027658 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.154468887977788100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.920000000000009600E-2 " "
y[1] (analytic) = 0.961578260229118 " "
y[1] (numeric) = 0.9615782602291181 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.154584156634968600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.9300000000000100E-2 " "
y[1] (analytic) = 0.9614822612396876 " "
y[1] (numeric) = 0.9614822612396877 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.154699435841582700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.9400000000000100E-2 " "
y[1] (analytic) = 0.9613862726354345 " "
y[1] (numeric) = 0.9613862726354347 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.309629451191804200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.950000000000010000E-2 " "
y[1] (analytic) = 0.9612902944173188 " "
y[1] (numeric) = 0.961290294417319 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.154930025896196700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.96000000000001100E-2 " "
y[1] (analytic) = 0.9611943265863002 " "
y[1] (numeric) = 0.9611943265863002 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.97000000000001130E-2 " "
y[1] (analytic) = 0.9610983691433382 " "
y[1] (numeric) = 0.9610983691433382 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.98000000000001130E-2 " "
y[1] (analytic) = 0.9610024220893925 " "
y[1] (numeric) = 0.9610024220893926 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.155275990055604200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.990000000000011300E-2 " "
y[1] (analytic) = 0.9609064854254226 " "
y[1] (numeric) = 0.9609064854254227 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.15539133252246390000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.00000000000001200E-2 " "
y[1] (analytic) = 0.9608105591523878 " "
y[1] (numeric) = 0.9608105591523879 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.155506685526622600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.01000000000001240E-2 " "
y[1] (analytic) = 0.9607146432712473 " "
y[1] (numeric) = 0.9607146432712476 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.311244098132679600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.020000000000012500E-2 " "
y[1] (analytic) = 0.9606187377829605 " "
y[1] (numeric) = 0.9606187377829607 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.31147484627974710000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.03000000000001250E-2 " "
y[1] (analytic) = 0.9605228426884864 " "
y[1] (numeric) = 0.9605228426884865 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.155852807745479500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.04000000000001300E-2 " "
y[1] (analytic) = 0.9604269579887837 " "
y[1] (numeric) = 0.9604269579887839 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.155968202881412800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.05000000000001360E-2 " "
y[1] (analytic) = 0.9603310836848115 " "
y[1] (numeric) = 0.9603310836848117 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.312167217091852200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.060000000000013600E-2 " "
y[1] (analytic) = 0.9602352197775285 " "
y[1] (numeric) = 0.9602352197775286 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.1561990247372700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.07000000000001360E-2 " "
y[1] (analytic) = 0.9601393662678933 " "
y[1] (numeric) = 0.9601393662678933 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.08000000000001400E-2 " "
y[1] (analytic) = 0.9600435231568645 " "
y[1] (numeric) = 0.9600435231568644 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.15642988869344600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.090000000000015000E-2 " "
y[1] (analytic) = 0.9599476904454001 " "
y[1] (numeric) = 0.9599476904454002 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.15654533645477190000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.10000000000001500E-2 " "
y[1] (analytic) = 0.959851868134459 " "
y[1] (numeric) = 0.9598518681344591 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.156660794735915600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.11000000000001500E-2 " "
y[1] (analytic) = 0.9597560562249993 " "
y[1] (numeric) = 0.9597560562249994 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.156776263535119200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.12000000000001530E-2 " "
y[1] (analytic) = 0.9596602547179789 " "
y[1] (numeric) = 0.959660254717979 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.156891742850624200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.130000000000016000E-2 " "
y[1] (analytic) = 0.9595644636143559 " "
y[1] (numeric) = 0.9595644636143561 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.314014465361338400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.14000000000001600E-2 " "
y[1] (analytic) = 0.9594686829150885 " "
y[1] (numeric) = 0.9594686829150886 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.157122733023491100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.15000000000001600E-2 " "
y[1] (analytic) = 0.959372912621134 " "
y[1] (numeric) = 0.9593729126211342 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.314476487754652300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.160000000000016500E-2 " "
y[1] (analytic) = 0.9592771527334504 " "
y[1] (numeric) = 0.9592771527334507 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.472061295721223000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.17000000000001700E-2 " "
y[1] (analytic) = 0.9591814032529954 " "
y[1] (numeric) = 0.9591814032529956 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.31493859422193600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.18000000000001700E-2 " "
y[1] (analytic) = 0.9590856641807263 " "
y[1] (numeric) = 0.9590856641807265 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.31516967897447500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.19000000000001700E-2 " "
y[1] (analytic) = 0.9589899355176004 " "
y[1] (numeric) = 0.9589899355176007 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.47310117710233400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.200000000000017600E-2 " "
y[1] (analytic) = 0.9588942172645755 " "
y[1] (numeric) = 0.9588942172645756 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.157815955749816300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.21000000000001800E-2 " "
y[1] (analytic) = 0.9587985094226081 " "
y[1] (numeric) = 0.9587985094226082 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.157931529632578200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.22000000000001800E-2 " "
y[1] (analytic) = 0.9587028119926557 " "
y[1] (numeric) = 0.9587028119926558 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.158047114013953200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.230000000000018000E-2 " "
y[1] (analytic) = 0.958607124975675 " "
y[1] (numeric) = 0.9586071249756754 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.474488126676490400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.24000000000001900E-2 " "
y[1] (analytic) = 0.9585114483726234 " "
y[1] (numeric) = 0.9585114483726236 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.31655662853085700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.25000000000001930E-2 " "
y[1] (analytic) = 0.9584157821844571 " "
y[1] (numeric) = 0.9584157821844573 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.31678786026393400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.26000000000001930E-2 " "
y[1] (analytic) = 0.9583201264121329 " "
y[1] (numeric) = 0.9583201264121333 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.475528669469986600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.270000000000019300E-2 " "
y[1] (analytic) = 0.9582244810566076 " "
y[1] (numeric) = 0.9582244810566078 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.31725038667545680000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.2800000000000200E-2 " "
y[1] (analytic) = 0.9581288461188373 " "
y[1] (numeric) = 0.9581288461188376 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.47622252202013800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.2900000000000205E-2 " "
y[1] (analytic) = 0.9580332215997788 " "
y[1] (numeric) = 0.958033221599779 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.317712996990318500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.300000000000020500E-2 " "
y[1] (analytic) = 0.9579376075003877 " "
y[1] (numeric) = 0.9579376075003881 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.635888667205112500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.31000000000002050E-2 " "
y[1] (analytic) = 0.9578420038216208 " "
y[1] (numeric) = 0.9578420038216212 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.63635138235977300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.32000000000002100E-2 " "
y[1] (analytic) = 0.9577464105644335 " "
y[1] (numeric) = 0.9577464105644342 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.95522120915616800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.33000000000002160E-2 " "
y[1] (analytic) = 0.9576508277297826 " "
y[1] (numeric) = 0.957650827729783 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.637276938430944000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.340000000000021600E-2 " "
y[1] (analytic) = 0.9575552553186233 " "
y[1] (numeric) = 0.9575552553186236 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.47830483449981240000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.35000000000002160E-2 " "
y[1] (analytic) = 0.9574596933319112 " "
y[1] (numeric) = 0.9574596933319116 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.63820266213666570000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.36000000000002200E-2 " "
y[1] (analytic) = 0.9573641417706023 " "
y[1] (numeric) = 0.9573641417706027 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.63866558683448800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.370000000000023000E-2 " "
y[1] (analytic) = 0.9572686006356517 " "
y[1] (numeric) = 0.9572686006356523 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.9586928301290100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.38000000000002300E-2 " "
y[1] (analytic) = 0.9571730699280154 " "
y[1] (numeric) = 0.957173069928016 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.79948945235500200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.39000000000002300E-2 " "
y[1] (analytic) = 0.9570775496486484 " "
y[1] (numeric) = 0.9570775496486489 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.64005461222125270000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.40000000000002330E-2 " "
y[1] (analytic) = 0.9569820397985057 " "
y[1] (numeric) = 0.9569820397985063 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.80064713052982700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.410000000000024000E-2 " "
y[1] (analytic) = 0.9568865403785427 " "
y[1] (numeric) = 0.9568865403785433 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.80122604810573500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.42000000000002400E-2 " "
y[1] (analytic) = 0.9567910513897145 " "
y[1] (numeric) = 0.9567910513897149 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.48108301079714130000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.43000000000002400E-2 " "
y[1] (analytic) = 0.9566955728329755 " "
y[1] (numeric) = 0.9566955728329759 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.641907232151411500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.440000000000024500E-2 " "
y[1] (analytic) = 0.9566001047092807 " "
y[1] (numeric) = 0.9566001047092813 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.80296311467874600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.45000000000002500E-2 " "
y[1] (analytic) = 0.9565046470195849 " "
y[1] (numeric) = 0.9565046470195855 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.803542241454600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.46000000000002500E-2 " "
y[1] (analytic) = 0.9564091997648427 " "
y[1] (numeric) = 0.9564091997648433 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.80412142050773200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.47000000000002500E-2 " "
y[1] (analytic) = 0.9563137629460087 " "
y[1] (numeric) = 0.9563137629460091 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.64376052146323500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.480000000000025600E-2 " "
y[1] (analytic) = 0.9562183365640369 " "
y[1] (numeric) = 0.9562183365640373 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.64422394832754200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.49000000000002600E-2 " "
y[1] (analytic) = 0.9561229206198816 " "
y[1] (numeric) = 0.9561229206198821 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.80585927123976600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.50000000000002600E-2 " "
y[1] (analytic) = 0.9560275151144972 " "
y[1] (numeric) = 0.9560275151144977 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.64515092744874500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.510000000000026000E-2 " "
y[1] (analytic) = 0.9559321200488375 " "
y[1] (numeric) = 0.9559321200488381 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.80701809961379100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.52000000000002700E-2 " "
y[1] (analytic) = 0.9558367354238566 " "
y[1] (numeric) = 0.9558367354238573 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.96911711056703900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.53000000000002730E-2 " "
y[1] (analytic) = 0.9557413612405086 " "
y[1] (numeric) = 0.9557413612405091 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.80817713687800300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.540000000000027300E-2 " "
y[1] (analytic) = 0.9556459974997467 " "
y[1] (numeric) = 0.9556459974997473 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.97050808058525400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.550000000000027400E-2 " "
y[1] (analytic) = 0.9555506442025249 " "
y[1] (numeric) = 0.9555506442025256 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.97120365955098100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.56000000000002800E-2 " "
y[1] (analytic) = 0.9554553013497966 " "
y[1] (numeric) = 0.9554553013497973 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.97189930113977500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.57000000000002850E-2 " "
y[1] (analytic) = 0.9553599689425155 " "
y[1] (numeric) = 0.9553599689425161 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.81049583778383800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.580000000000028500E-2 " "
y[1] (analytic) = 0.9552646469816345 " "
y[1] (numeric) = 0.9552646469816352 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.97329077214244200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.59000000000002850E-2 " "
y[1] (analytic) = 0.955169335468107 " "
y[1] (numeric) = 0.9551693354681078 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.13631770178994400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.60000000000002900E-2 " "
y[1] (analytic) = 0.9550740344028862 " "
y[1] (numeric) = 0.955074034402887 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.13712957575575600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.610000000000029600E-2 " "
y[1] (analytic) = 0.9549787437869253 " "
y[1] (numeric) = 0.9549787437869258 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.81281537336955300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.620000000000029600E-2 " "
y[1] (analytic) = 0.9548834636211766 " "
y[1] (numeric) = 0.9548834636211773 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.97607446513875300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.6300000000000296E-2 " "
y[1] (analytic) = 0.9547881939065934 " "
y[1] (numeric) = 0.9547881939065941 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.9767705447797100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.6400000000000300E-2 " "
y[1] (analytic) = 0.954692934644128 " "
y[1] (numeric) = 0.9546929346441289 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.3032889159403210000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.650000000000031000E-2 " "
y[1] (analytic) = 0.9545976858347336 " "
y[1] (numeric) = 0.9545976858347344 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.14119004026326600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.66000000000003100E-2 " "
y[1] (analytic) = 0.9545024474793623 " "
y[1] (numeric) = 0.954502447479363 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.97885915886555900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.67000000000003100E-2 " "
y[1] (analytic) = 0.9544072195789662 " "
y[1] (numeric) = 0.9544072195789671 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.30607398477080200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.680000000000031400E-2 " "
y[1] (analytic) = 0.9543120021344982 " "
y[1] (numeric) = 0.9543120021344991 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.30700250770761800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.690000000000032000E-2 " "
y[1] (analytic) = 0.9542167951469103 " "
y[1] (numeric) = 0.9542167951469109 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.98094833546224300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.70000000000003200E-2 " "
y[1] (analytic) = 0.954121598617154 " "
y[1] (numeric) = 0.9541215986171548 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.30885980348204400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.71000000000003200E-2 " "
y[1] (analytic) = 0.9540264125461819 " "
y[1] (numeric) = 0.9540264125461828 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.30978857628987100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.720000000000032500E-2 " "
y[1] (analytic) = 0.9539312369349459 " "
y[1] (numeric) = 0.9539312369349466 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.14687775331345400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.73000000000003300E-2 " "
y[1] (analytic) = 0.9538360717843972 " "
y[1] (numeric) = 0.953836071784398 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.1476905752131800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.74000000000003300E-2 " "
y[1] (analytic) = 0.9537409170954878 " "
y[1] (numeric) = 0.9537409170954887 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.3125753942168500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.750000000000033000E-2 " "
y[1] (analytic) = 0.9536457728691693 " "
y[1] (numeric) = 0.9536457728691702 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.3135044999772100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.760000000000033600E-2 " "
y[1] (analytic) = 0.9535506391063933 " "
y[1] (numeric) = 0.9535506391063939 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.98582526670373700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.77000000000003400E-2 " "
y[1] (analytic) = 0.9534555158081105 " "
y[1] (numeric) = 0.9534555158081113 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.15094259094954500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.78000000000003400E-2 " "
y[1] (analytic) = 0.9533604029752727 " "
y[1] (numeric) = 0.9533604029752735 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.15175577685248800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.790000000000034000E-2 " "
y[1] (analytic) = 0.9532653006088309 " "
y[1] (numeric) = 0.9532653006088316 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.15256903551672400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.80000000000003500E-2 " "
y[1] (analytic) = 0.953170208709736 " "
y[1] (numeric) = 0.9531702087097368 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.15338236692910400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.81000000000003540E-2 " "
y[1] (analytic) = 0.953075127278939 " "
y[1] (numeric) = 0.9530751272789398 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.31908088123025500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.820000000000035400E-2 " "
y[1] (analytic) = 0.9529800563173909 " "
y[1] (numeric) = 0.9529800563173916 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.99000792681056300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.83000000000003540E-2 " "
y[1] (analytic) = 0.952884995826042 " "
y[1] (numeric) = 0.9528849958260428 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.15582279752347600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.84000000000003600E-2 " "
y[1] (analytic) = 0.9527899458058433 " "
y[1] (numeric) = 0.9527899458058441 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.15663641979673200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.85000000000003650E-2 " "
y[1] (analytic) = 0.952694906257745 " "
y[1] (numeric) = 0.9526949062577459 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.32280013114539200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.860000000000036500E-2 " "
y[1] (analytic) = 0.9525998771826977 " "
y[1] (numeric) = 0.9525998771826986 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.32373015128767400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.87000000000003650E-2 " "
y[1] (analytic) = 0.9525048585816516 " "
y[1] (numeric) = 0.9525048585816525 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.32466025446512700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.88000000000003700E-2 " "
y[1] (analytic) = 0.9524098504555568 " "
y[1] (numeric) = 0.9524098504555578 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 1.04912892457454430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.890000000000037600E-2 " "
y[1] (analytic) = 0.9523148528053637 " "
y[1] (numeric) = 0.9523148528053647 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 1.04923357985981120000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.90000000000003770E-2 " "
y[1] (analytic) = 0.952219865632022 " "
y[1] (numeric) = 0.9522198656320229 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.32745106205707800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.91000000000003770E-2 " "
y[1] (analytic) = 0.9521248889364814 " "
y[1] (numeric) = 0.9521248889364825 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.16604768715296360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.92000000000003800E-2 " "
y[1] (analytic) = 0.9520299227196922 " "
y[1] (numeric) = 0.9520299227196932 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 1.04954760172683900000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.930000000000039000E-2 " "
y[1] (analytic) = 0.9519349669826036 " "
y[1] (numeric) = 0.9519349669826047 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.16628032705247350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.94000000000003900E-2 " "
y[1] (analytic) = 0.9518400217261656 " "
y[1] (numeric) = 0.9518400217261666 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 1.04975699629711570000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.95000000000003900E-2 " "
y[1] (analytic) = 0.951745086951327 " "
y[1] (numeric) = 0.9517450869513281 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.16651300841643780000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.960000000000039400E-2 " "
y[1] (analytic) = 0.9516501626590378 " "
y[1] (numeric) = 0.9516501626590388 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 1.04996642817854470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.9700000000000400E-2 " "
y[1] (analytic) = 0.9515552488502468 " "
y[1] (numeric) = 0.9515552488502479 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.1667457312296120000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.9800000000000400E-2 " "
y[1] (analytic) = 0.9514603455259035 " "
y[1] (numeric) = 0.9514603455259044 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.33489686539904900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.9900000000000400E-2 " "
y[1] (analytic) = 0.9513654526869565 " "
y[1] (numeric) = 0.9513654526869575 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 1.05028064592905120000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.000000000000040000E-2 " "
y[1] (analytic) = 0.951270570334355 " "
y[1] (numeric) = 0.951270570334356 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 1.05038540381990290000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.01000000000004100E-2 " "
y[1] (analytic) = 0.9511756984690479 " "
y[1] (numeric) = 0.9511756984690488 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.33769040913977200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.02000000000004100E-2 " "
y[1] (analytic) = 0.9510808370919837 " "
y[1] (numeric) = 0.9510808370919847 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 1.05059494755229020000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.030000000000041000E-2 " "
y[1] (analytic) = 0.9509859862041113 " "
y[1] (numeric) = 0.9509859862041121 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.1721090374806790000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.04000000000004200E-2 " "
y[1] (analytic) = 0.9508911458063788 " "
y[1] (numeric) = 0.9508911458063797 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.34048469813995700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.05000000000004200E-2 " "
y[1] (analytic) = 0.950796315899735 " "
y[1] (numeric) = 0.9507963158997358 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.17373925667969800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.06000000000004200E-2 " "
y[1] (analytic) = 0.9507014964851278 " "
y[1] (numeric) = 0.9507014964851288 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 1.05101414677143280000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.070000000000042000E-2 " "
y[1] (analytic) = 0.9506066875635059 " "
y[1] (numeric) = 0.9506066875635067 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.34327973198473700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.08000000000004200E-2 " "
y[1] (analytic) = 0.9505118891358172 " "
y[1] (numeric) = 0.9505118891358179 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.00815868153660800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.09000000000004300E-2 " "
y[1] (analytic) = 0.9504171012030094 " "
y[1] (numeric) = 0.95041710120301 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.00885762610880800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.100000000000043000E-2 " "
y[1] (analytic) = 0.9503223237660303 " "
y[1] (numeric) = 0.9503223237660312 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.34607551025808700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.11000000000004300E-2 " "
y[1] (analytic) = 0.9502275568258283 " "
y[1] (numeric) = 0.9502275568258292 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.34700760170570000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.12000000000004500E-2 " "
y[1] (analytic) = 0.9501328003833507 " "
y[1] (numeric) = 0.9501328003833516 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.34793977580577500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.13000000000004500E-2 " "
y[1] (analytic) = 0.950038054439545 " "
y[1] (numeric) = 0.9500380544395459 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.34887203254281700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.140000000000045000E-2 " "
y[1] (analytic) = 0.9499433189953587 " "
y[1] (numeric) = 0.9499433189953597 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 1.05185299183889830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.15000000000004500E-2 " "
y[1] (analytic) = 0.9498485940517394 " "
y[1] (numeric) = 0.9498485940517403 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.35073679386575200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.16000000000004500E-2 " "
y[1] (analytic) = 0.9497538796096341 " "
y[1] (numeric) = 0.9497538796096349 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.18271063611800900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.170000000000046000E-2 " "
y[1] (analytic) = 0.9496591756699898 " "
y[1] (numeric) = 0.9496591756699907 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.3526018855502600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.18000000000004600E-2 " "
y[1] (analytic) = 0.9495644822337538 " "
y[1] (numeric) = 0.9495644822337548 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 1.0522726374644119000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.19000000000004600E-2 " "
y[1] (analytic) = 0.9494697993018734 " "
y[1] (numeric) = 0.949469799301874 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.01585048060390300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.20000000000004700E-2 " "
y[1] (analytic) = 0.9493751268752946 " "
y[1] (numeric) = 0.9493751268752952 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.01655010667447300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.210000000000047000E-2 " "
y[1] (analytic) = 0.9492804649549643 " "
y[1] (numeric) = 0.9492804649549652 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.35633305950588700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.22000000000004700E-2 " "
y[1] (analytic) = 0.9491858135418296 " "
y[1] (numeric) = 0.9491858135418305 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.35726605927601300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.23000000000004700E-2 " "
y[1] (analytic) = 0.9490911726368368 " "
y[1] (numeric) = 0.9490911726368377 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.35819914152737100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.240000000000047000E-2 " "
y[1] (analytic) = 0.9489965422409322 " "
y[1] (numeric) = 0.9489965422409332 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 1.0529023844524850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.25000000000004800E-2 " "
y[1] (analytic) = 0.9489019223550623 " "
y[1] (numeric) = 0.9489019223550632 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.36006555341116200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.26000000000004800E-2 " "
y[1] (analytic) = 0.9488073129801731 " "
y[1] (numeric) = 0.948807312980174 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.36099888301224800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.27000000000004800E-2 " "
y[1] (analytic) = 0.9487127141172107 " "
y[1] (numeric) = 0.9487127141172116 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.3619322950318700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.280000000000049000E-2 " "
y[1] (analytic) = 0.9486181257671211 " "
y[1] (numeric) = 0.948618125767122 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.36286578945431900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.29000000000004900E-2 " "
y[1] (analytic) = 0.9485235479308504 " "
y[1] (numeric) = 0.9485235479308513 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.36379936626386900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.30000000000004900E-2 " "
y[1] (analytic) = 0.9484289806093441 " "
y[1] (numeric) = 0.948428980609345 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.3647330254447800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.310000000000049000E-2 " "
y[1] (analytic) = 0.948334423803548 " "
y[1] (numeric) = 0.9483344238035489 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.36566676698130200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.3200000000000490E-2 " "
y[1] (analytic) = 0.9482398775144076 " "
y[1] (numeric) = 0.9482398775144086 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 1.05374256647148760000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.3300000000000500E-2 " "
y[1] (analytic) = 0.9481453417428686 " "
y[1] (numeric) = 0.9481453417428695 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.36753449705808900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.3400000000000500E-2 " "
y[1] (analytic) = 0.9480508164898761 " "
y[1] (numeric) = 0.9480508164898769 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.19740992487092600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.350000000000050000E-2 " "
y[1] (analytic) = 0.9479563017563754 " "
y[1] (numeric) = 0.9479563017563761 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.19822723682192100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.36000000000005100E-2 " "
y[1] (analytic) = 0.9478617975433116 " "
y[1] (numeric) = 0.9478617975433123 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.19904462076496100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.37000000000005100E-2 " "
y[1] (analytic) = 0.9477673038516298 " "
y[1] (numeric) = 0.9477673038516307 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.37127094478421700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.380000000000051000E-2 " "
y[1] (analytic) = 0.947672820682275 " "
y[1] (numeric) = 0.9476728206822759 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.37220526236769300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.39000000000005100E-2 " "
y[1] (analytic) = 0.9475783480361922 " "
y[1] (numeric) = 0.9475783480361929 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.0298547466351700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.40000000000005100E-2 " "
y[1] (analytic) = 0.9474838859143255 " "
y[1] (numeric) = 0.9474838859143264 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.37407414420594300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.41000000000005300E-2 " "
y[1] (analytic) = 0.9473894343176201 " "
y[1] (numeric) = 0.947389434317621 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.37500870842893700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.420000000000053000E-2 " "
y[1] (analytic) = 0.9472949932470204 " "
y[1] (numeric) = 0.9472949932470213 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.37594335483329500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.43000000000005300E-2 " "
y[1] (analytic) = 0.9472005627034706 " "
y[1] (numeric) = 0.9472005627034716 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 1.05489878438284820000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.44000000000005400E-2 " "
y[1] (analytic) = 0.9471061426879154 " "
y[1] (numeric) = 0.9471061426879164 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 1.05500395058876890000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.450000000000054000E-2 " "
y[1] (analytic) = 0.9470117332012987 " "
y[1] (numeric) = 0.9470117332012996 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.37874778697522400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.46000000000005400E-2 " "
y[1] (analytic) = 0.9469173342445648 " "
y[1] (numeric) = 0.9469173342445656 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.20722241670242500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.47000000000005400E-2 " "
y[1] (analytic) = 0.9468229458186572 " "
y[1] (numeric) = 0.9468229458186582 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 1.05531950463948240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.48000000000005400E-2 " "
y[1] (analytic) = 0.9467285679245204 " "
y[1] (numeric) = 0.9467285679245213 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.38155295817519700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.490000000000055000E-2 " "
y[1] (analytic) = 0.9466342005630978 " "
y[1] (numeric) = 0.9466342005630988 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 1.05552992018276360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.50000000000005500E-2 " "
y[1] (analytic) = 0.9465398437353334 " "
y[1] (numeric) = 0.9465398437353342 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.21049554734765000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.51000000000005500E-2 " "
y[1] (analytic) = 0.9464454974421704 " "
y[1] (numeric) = 0.9464454974421711 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.0382691510009100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.520000000000056000E-2 " "
y[1] (analytic) = 0.9463511616845524 " "
y[1] (numeric) = 0.9463511616845531 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.21213254342323500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.53000000000005600E-2 " "
y[1] (analytic) = 0.9462568364634227 " "
y[1] (numeric) = 0.9462568364634235 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.21295114910010300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.54000000000005600E-2 " "
y[1] (analytic) = 0.9461625217797248 " "
y[1] (numeric) = 0.9461625217797255 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.04037413701507700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.55000000000005600E-2 " "
y[1] (analytic) = 0.9460682176344013 " "
y[1] (numeric) = 0.9460682176344023 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 1.056161388299350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.560000000000056000E-2 " "
y[1] (analytic) = 0.9459739240283959 " "
y[1] (numeric) = 0.9459739240283969 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 1.05626666526660760000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.57000000000005700E-2 " "
y[1] (analytic) = 0.9458796409626514 " "
y[1] (numeric) = 0.9458796409626522 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.21622628907281900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.58000000000005700E-2 " "
y[1] (analytic) = 0.9457853684381102 " "
y[1] (numeric) = 0.9457853684381111 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.39090886092773500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.590000000000057000E-2 " "
y[1] (analytic) = 0.9456911064557155 " "
y[1] (numeric) = 0.9456911064557163 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.21786428922076300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.60000000000005800E-2 " "
y[1] (analytic) = 0.9455968550164097 " "
y[1] (numeric) = 0.9455968550164104 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.21868339678565200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.61000000000005800E-2 " "
y[1] (analytic) = 0.9455026141211351 " "
y[1] (numeric) = 0.945502614121136 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.39371722970545200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.62000000000005800E-2 " "
y[1] (analytic) = 0.9454083837708348 " "
y[1] (numeric) = 0.9454083837708355 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.04599013727980200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.630000000000058000E-2 " "
y[1] (analytic) = 0.9453141639664503 " "
y[1] (numeric) = 0.9453141639664511 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.2211411492739610000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.64000000000005800E-2 " "
y[1] (analytic) = 0.9452199547089242 " "
y[1] (numeric) = 0.9452199547089251 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.39652633522358700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.65000000000005900E-2 " "
y[1] (analytic) = 0.9451257559991986 " "
y[1] (numeric) = 0.9451257559991995 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.39746286737400500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.660000000000059000E-2 " "
y[1] (analytic) = 0.9450315678382154 " "
y[1] (numeric) = 0.9450315678382163 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.39839948131951500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.6700000000000590E-2 " "
y[1] (analytic) = 0.9449373902269165 " "
y[1] (numeric) = 0.9449373902269175 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 1.05742531991743240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.6800000000000610E-2 " "
y[1] (analytic) = 0.9448432231662436 " "
y[1] (numeric) = 0.9448432231662447 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.17503411931633730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.6900000000000610E-2 " "
y[1] (analytic) = 0.9447490666571389 " "
y[1] (numeric) = 0.9447490666571396 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.22605858704329600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.700000000000061000E-2 " "
y[1] (analytic) = 0.9446549207005431 " "
y[1] (numeric) = 0.9446549207005439 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.22687841038589300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.71000000000006100E-2 " "
y[1] (analytic) = 0.9445607852973981 " "
y[1] (numeric) = 0.944560785297399 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.40308377740326500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.72000000000006100E-2 " "
y[1] (analytic) = 0.9444666604486452 " "
y[1] (numeric) = 0.9444666604486461 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.40402088177700500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.730000000000062000E-2 " "
y[1] (analytic) = 0.9443725461552259 " "
y[1] (numeric) = 0.9443725461552267 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.22933830935264200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.74000000000006200E-2 " "
y[1] (analytic) = 0.944278442418081 " "
y[1] (numeric) = 0.9442784424180819 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.4058953355506400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.75000000000006200E-2 " "
y[1] (analytic) = 0.9441843492381518 " "
y[1] (numeric) = 0.9441843492381526 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.40683268491776100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.76000000000006300E-2 " "
y[1] (analytic) = 0.944090266616379 " "
y[1] (numeric) = 0.9440902666163798 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.40777011591654400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.770000000000063000E-2 " "
y[1] (analytic) = 0.9439961945537036 " "
y[1] (numeric) = 0.9439961945537044 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.23261917496424300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.78000000000006300E-2 " "
y[1] (analytic) = 0.9439021330510661 " "
y[1] (numeric) = 0.943902133051067 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.40964522274338100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.79000000000006300E-2 " "
y[1] (analytic) = 0.9438080821094073 " "
y[1] (numeric) = 0.9438080821094083 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 1.05869057608558650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.800000000000063000E-2 " "
y[1] (analytic) = 0.9437140417296678 " "
y[1] (numeric) = 0.9437140417296687 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.41152065589958600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.81000000000006400E-2 " "
y[1] (analytic) = 0.9436200119127877 " "
y[1] (numeric) = 0.9436200119127887 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 1.05890158066612760000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.82000000000006400E-2 " "
y[1] (analytic) = 0.9435259926597075 " "
y[1] (numeric) = 0.9435259926597085 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 1.05900709671600230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.83000000000006400E-2 " "
y[1] (analytic) = 0.9434319839713675 " "
y[1] (numeric) = 0.9434319839713684 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.41433441721306800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.840000000000065000E-2 " "
y[1] (analytic) = 0.9433379858487076 " "
y[1] (numeric) = 0.9433379858487084 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.2383634380885600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.85000000000006500E-2 " "
y[1] (analytic) = 0.9432439982926677 " "
y[1] (numeric) = 0.9432439982926686 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.41621066561552800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.86000000000006500E-2 " "
y[1] (analytic) = 0.943150021304188 " "
y[1] (numeric) = 0.9431500213041888 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.24000529802202600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.870000000000065000E-2 " "
y[1] (analytic) = 0.943056054884208 " "
y[1] (numeric) = 0.9430560548842087 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.2408263348993790000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.88000000000006500E-2 " "
y[1] (analytic) = 0.9429620990336676 " "
y[1] (numeric) = 0.9429620990336681 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.88689103073652400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.89000000000006600E-2 " "
y[1] (analytic) = 0.9428681537535059 " "
y[1] (numeric) = 0.9428681537535065 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.06497310491665400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.90000000000006600E-2 " "
y[1] (analytic) = 0.9427742190446627 " "
y[1] (numeric) = 0.9427742190446634 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.06567703399976800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.910000000000066000E-2 " "
y[1] (analytic) = 0.9426802949080774 " "
y[1] (numeric) = 0.9426802949080781 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.24411119480747700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.92000000000006700E-2 " "
y[1] (analytic) = 0.9425863813446892 " "
y[1] (numeric) = 0.9425863813446899 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.06708507526695500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.93000000000006700E-2 " "
y[1] (analytic) = 0.9424924783554371 " "
y[1] (numeric) = 0.9424924783554378 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.0677891874260500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.940000000000067000E-2 " "
y[1] (analytic) = 0.9423985859412602 " "
y[1] (numeric) = 0.9423985859412609 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.06849336058547600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.95000000000006700E-2 " "
y[1] (analytic) = 0.9423047041030973 " "
y[1] (numeric) = 0.9423047041030982 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.42559679297695500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.96000000000006700E-2 " "
y[1] (analytic) = 0.9422108328418876 " "
y[1] (numeric) = 0.9422108328418883 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.24821887149777900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.97000000000006900E-2 " "
y[1] (analytic) = 0.9421169721585694 " "
y[1] (numeric) = 0.9421169721585702 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.24904062026392400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.980000000000069000E-2 " "
y[1] (analytic) = 0.9420231220540817 " "
y[1] (numeric) = 0.9420231220540823 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.07131066297596800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.99000000000006900E-2 " "
y[1] (analytic) = 0.9419292825293625 " "
y[1] (numeric) = 0.9419292825293633 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.2506843311072410000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.00000000000007000E-2 " "
y[1] (analytic) = 0.9418354535853506 " "
y[1] (numeric) = 0.9418354535853514 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.25150629315508600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.010000000000070000E-2 " "
y[1] (analytic) = 0.9417416352229843 " "
y[1] (numeric) = 0.9417416352229849 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.07342427965784600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.0200000000000700E-2 " "
y[1] (analytic) = 0.9416478274432014 " "
y[1] (numeric) = 0.9416478274432021 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.07412894036835600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.0300000000000700E-2 " "
y[1] (analytic) = 0.9415540302469402 " "
y[1] (numeric) = 0.941554030246941 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.25397260562716600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.0400000000000700E-2 " "
y[1] (analytic) = 0.9414602436351386 " "
y[1] (numeric) = 0.9414602436351395 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.43405125925144600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.050000000000071000E-2 " "
y[1] (analytic) = 0.9413664676087347 " "
y[1] (numeric) = 0.9413664676087355 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 9.43499105036407200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.06000000000007100E-2 " "
y[1] (analytic) = 0.9412727021686663 " "
y[1] (numeric) = 0.941272702168667 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.07694819195691100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.07000000000007100E-2 " "
y[1] (analytic) = 0.9411789473158706 " "
y[1] (numeric) = 0.9411789473158714 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.2572620164737600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.080000000000072000E-2 " "
y[1] (analytic) = 0.9410852030512855 " "
y[1] (numeric) = 0.9410852030512863 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.25808454662587700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.09000000000007200E-2 " "
y[1] (analytic) = 0.9409914693758485 " "
y[1] (numeric) = 0.9409914693758492 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.07906326947825200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.10000000000007200E-2 " "
y[1] (analytic) = 0.9408977462904967 " "
y[1] (numeric) = 0.9408977462904974 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.07976841693304400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.11000000000007200E-2 " "
y[1] (analytic) = 0.9408040337961675 " "
y[1] (numeric) = 0.9408040337961681 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.90039468764488200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.120000000000072000E-2 " "
y[1] (analytic) = 0.9407103318937977 " "
y[1] (numeric) = 0.9407103318937984 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.0811788941879890000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.13000000000007300E-2 " "
y[1] (analytic) = 0.9406166405843249 " "
y[1] (numeric) = 0.9406166405843254 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.721256149308477600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.14000000000007300E-2 " "
y[1] (analytic) = 0.9405229598686855 " "
y[1] (numeric) = 0.940522959868686 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.721726409656875600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.150000000000073000E-2 " "
y[1] (analytic) = 0.9404292897478164 " "
y[1] (numeric) = 0.9404292897478169 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.902745888119201000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.16000000000007400E-2 " "
y[1] (analytic) = 0.9403356302226545 " "
y[1] (numeric) = 0.940335630222655 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.72266705181542800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.17000000000007400E-2 " "
y[1] (analytic) = 0.9402419812941363 " "
y[1] (numeric) = 0.9402419812941368 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.90392179201071600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.18000000000007400E-2 " "
y[1] (analytic) = 0.9401483429631983 " "
y[1] (numeric) = 0.9401483429631988 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.90450981983284600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.190000000000074000E-2 " "
y[1] (analytic) = 0.9400547152307769 " "
y[1] (numeric) = 0.9400547152307773 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.72407831858001840000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.20000000000007400E-2 " "
y[1] (analytic) = 0.9399610980978081 " "
y[1] (numeric) = 0.9399610980978087 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.90568602717658200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.21000000000007500E-2 " "
y[1] (analytic) = 0.9398674915652286 " "
y[1] (numeric) = 0.9398674915652291 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.72501936534148100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.220000000000075000E-2 " "
y[1] (analytic) = 0.939773895633974 " "
y[1] (numeric) = 0.9397738956339745 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.90686243671514800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.23000000000007500E-2 " "
y[1] (analytic) = 0.9396803103049806 " "
y[1] (numeric) = 0.939680310304981 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.725960573824623500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.24000000000007700E-2 " "
y[1] (analytic) = 0.939586735579184 " "
y[1] (numeric) = 0.9395867355791844 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.544823429017827000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.25000000000007700E-2 " "
y[1] (analytic) = 0.9394931714575199 " "
y[1] (numeric) = 0.9394931714575204 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.90862742995123600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.26000000000007700E-2 " "
y[1] (analytic) = 0.9393996179409243 " "
y[1] (numeric) = 0.9393996179409247 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.727372689627705000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.27000000000007700E-2 " "
y[1] (analytic) = 0.9393060750303325 " "
y[1] (numeric) = 0.9393060750303328 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.545882606761501000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.28000000000007700E-2 " "
y[1] (analytic) = 0.9392125427266799 " "
y[1] (numeric) = 0.9392125427266802 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.54623572658646600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.29000000000007800E-2 " "
y[1] (analytic) = 0.9391190210309017 " "
y[1] (numeric) = 0.9391190210309022 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.728785168918966000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.30000000000007800E-2 " "
y[1] (analytic) = 0.9390255099439332 " "
y[1] (numeric) = 0.9390255099439339 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.09388411412664500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.31000000000007800E-2 " "
y[1] (analytic) = 0.93893200946671 " "
y[1] (numeric) = 0.9389320094667104 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.729727023603065000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.32000000000007900E-2 " "
y[1] (analytic) = 0.9388385196001664 " "
y[1] (numeric) = 0.9388385196001668 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.73019801146625100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.33000000000007900E-2 " "
y[1] (analytic) = 0.9387450403452376 " "
y[1] (numeric) = 0.9387450403452381 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.73066903966536100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.34000000000007900E-2 " "
y[1] (analytic) = 0.9386515717028584 " "
y[1] (numeric) = 0.938651571702859 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.91392513523969900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.35000000000007900E-2 " "
y[1] (analytic) = 0.9385581136739635 " "
y[1] (numeric) = 0.9385581136739641 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.09741682555520200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.3600000000000790E-2 " "
y[1] (analytic) = 0.9384646662594877 " "
y[1] (numeric) = 0.9384646662594881 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.73208236619183400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.3700000000000800E-2 " "
y[1] (analytic) = 0.9383712294603649 " "
y[1] (numeric) = 0.9383712294603654 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.91569194456025500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.3800000000000800E-2 " "
y[1] (analytic) = 0.9382778032775299 " "
y[1] (numeric) = 0.9382778032775304 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.91628098174655200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.3900000000000800E-2 " "
y[1] (analytic) = 0.938184387711917 " "
y[1] (numeric) = 0.9381843877119174 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.550122041572705300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.4000000000000810E-2 " "
y[1] (analytic) = 0.93809098276446 " "
y[1] (numeric) = 0.9380909827644605 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.73396736573862200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.41000000000008100E-2 " "
y[1] (analytic) = 0.9379975884360932 " "
y[1] (numeric) = 0.9379975884360937 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.91804839539199500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.42000000000008100E-2 " "
y[1] (analytic) = 0.9379042047277505 " "
y[1] (numeric) = 0.937904204727751 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.91863763393312500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.43000000000008100E-2 " "
y[1] (analytic) = 0.9378108316403659 " "
y[1] (numeric) = 0.9378108316403664 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.735381538228629600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.44000000000008100E-2 " "
y[1] (analytic) = 0.9377174691748729 " "
y[1] (numeric) = 0.9377174691748733 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.73585300955127460000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.45000000000008200E-2 " "
y[1] (analytic) = 0.9376241173322051 " "
y[1] (numeric) = 0.9376241173322056 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.92040565138214500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.46000000000008200E-2 " "
y[1] (analytic) = 0.9375307761132963 " "
y[1] (numeric) = 0.9375307761132967 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.736796072883227600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.47000000000008200E-2 " "
y[1] (analytic) = 0.9374374455190797 " "
y[1] (numeric) = 0.93743744551908 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.552950748656306700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.48000000000008300E-2 " "
y[1] (analytic) = 0.9373441255504886 " "
y[1] (numeric) = 0.9373441255504888 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.36886964853625900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.49000000000008300E-2 " "
y[1] (analytic) = 0.9372508162084561 " "
y[1] (numeric) = 0.9372508162084564 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.55365822710010600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.50000000000008300E-2 " "
y[1] (analytic) = 0.9371575174939155 " "
y[1] (numeric) = 0.9371575174939158 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.55401201153689100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.51000000000008300E-2 " "
y[1] (analytic) = 0.9370642294077998 " "
y[1] (numeric) = 0.9370642294078001 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.5543658261081700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.52000000000008400E-2 " "
y[1] (analytic) = 0.9369709519510416 " "
y[1] (numeric) = 0.9369709519510421 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.73962622774315300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.53000000000008500E-2 " "
y[1] (analytic) = 0.936877685124574 " "
y[1] (numeric) = 0.9368776851245745 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.74009806083718700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.54000000000008500E-2 " "
y[1] (analytic) = 0.9367844289293298 " "
y[1] (numeric) = 0.93678442892933 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.370284967042104500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.55000000000008500E-2 " "
y[1] (analytic) = 0.9366911833662408 " "
y[1] (numeric) = 0.9366911833662412 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.74104184747542700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.56000000000008600E-2 " "
y[1] (analytic) = 0.9365979484362403 " "
y[1] (numeric) = 0.9365979484362407 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.556135350751526400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.57000000000008600E-2 " "
y[1] (analytic) = 0.9365047241402603 " "
y[1] (numeric) = 0.9365047241402605 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.370992897327613100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.58000000000008600E-2 " "
y[1] (analytic) = 0.9364115104792329 " "
y[1] (numeric) = 0.9364115104792332 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.55684337131963850000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.59000000000008600E-2 " "
y[1] (analytic) = 0.9363183074540903 " "
y[1] (numeric) = 0.9363183074540907 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.74292990230608400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.60000000000008600E-2 " "
y[1] (analytic) = 0.936225115065765 " "
y[1] (numeric) = 0.9362251150657652 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.37170100814304480000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.61000000000008700E-2 " "
y[1] (analytic) = 0.9361319333151883 " "
y[1] (numeric) = 0.9361319333151885 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.37193708517868300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.62000000000008700E-2 " "
y[1] (analytic) = 0.9360387622032921 " "
y[1] (numeric) = 0.9360387622032925 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.74434636451106500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.63000000000008700E-2 " "
y[1] (analytic) = 0.9359456017310086 " "
y[1] (numeric) = 0.9359456017310088 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.372409299369164500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.64000000000008800E-2 " "
y[1] (analytic) = 0.9358524518992688 " "
y[1] (numeric) = 0.9358524518992691 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.558968154772723000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.65000000000008800E-2 " "
y[1] (analytic) = 0.9357593127090046 " "
y[1] (numeric) = 0.9357593127090049 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.559322390533575000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.66000000000008800E-2 " "
y[1] (analytic) = 0.9356661841611472 " "
y[1] (numeric) = 0.9356661841611476 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.559676656329644500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.67000000000008800E-2 " "
y[1] (analytic) = 0.9355730662566282 " "
y[1] (numeric) = 0.9355730662566284 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.373353968102843400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.68000000000008800E-2 " "
y[1] (analytic) = 0.9354799589963783 " "
y[1] (numeric) = 0.9354799589963785 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.37359018533384700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.69000000000008900E-2 " "
y[1] (analytic) = 0.9353868623813287 " "
y[1] (numeric) = 0.9353868623813291 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.560739633862483600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.70000000000008900E-2 " "
y[1] (analytic) = 0.9352937764124105 " "
y[1] (numeric) = 0.935293776412411 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.748125359643630000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.7100000000000890E-2 " "
y[1] (analytic) = 0.9352007010905546 " "
y[1] (numeric) = 0.9352007010905551 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.74859791413973600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.7200000000000900E-2 " "
y[1] (analytic) = 0.9351076364166919 " "
y[1] (numeric) = 0.9351076364166921 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.374535254314684400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.7300000000000900E-2 " "
y[1] (analytic) = 0.9350145823917527 " "
y[1] (numeric) = 0.9350145823917528 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.187385785775900300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.7400000000000900E-2 " "
y[1] (analytic) = 0.9349215390166676 " "
y[1] (numeric) = 0.9349215390166677 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.187503954388373200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.7500000000000900E-2 " "
y[1] (analytic) = 0.9348285062923668 " "
y[1] (numeric) = 0.9348285062923672 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.750488531970099600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.76000000000009000E-2 " "
y[1] (analytic) = 0.9347354842197815 " "
y[1] (numeric) = 0.9347354842197817 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.375480643172230800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.77000000000009200E-2 " "
y[1] (analytic) = 0.934642472799841 " "
y[1] (numeric) = 0.9346424727998413 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.375717040333811500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.78000000000009200E-2 " "
y[1] (analytic) = 0.9345494720334757 " "
y[1] (numeric) = 0.934549472033476 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.563930186197959400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.79000000000009200E-2 " "
y[1] (analytic) = 0.9344564819216159 " "
y[1] (numeric) = 0.9344564819216161 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.37618989456222600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.80000000000009300E-2 " "
y[1] (analytic) = 0.9343635024651913 " "
y[1] (numeric) = 0.9343635024651914 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.188213175810039500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.81000000000009300E-2 " "
y[1] (analytic) = 0.9342705336651314 " "
y[1] (numeric) = 0.9342705336651317 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.56499424295155400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.82000000000009300E-2 " "
y[1] (analytic) = 0.9341775755223664 " "
y[1] (numeric) = 0.9341775755223666 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.376899325600596600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.83000000000009300E-2 " "
y[1] (analytic) = 0.9340846280378253 " "
y[1] (numeric) = 0.9340846280378258 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.75427168502851550000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.84000000000009300E-2 " "
y[1] (analytic) = 0.9339916912124382 " "
y[1] (numeric) = 0.9339916912124386 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.75474475874168860000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.85000000000009400E-2 " "
y[1] (analytic) = 0.9338987650471342 " "
y[1] (numeric) = 0.9338987650471345 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.56641340424876700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.86000000000009400E-2 " "
y[1] (analytic) = 0.9338058495428425 " "
y[1] (numeric) = 0.9338058495428428 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.56676826934211700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.87000000000009400E-2 " "
y[1] (analytic) = 0.9337129447004922 " "
y[1] (numeric) = 0.9337129447004926 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.75616421910604940000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.88000000000009500E-2 " "
y[1] (analytic) = 0.9336200505210125 " "
y[1] (numeric) = 0.9336200505210129 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.756637452272322600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.89000000000009500E-2 " "
y[1] (analytic) = 0.9335271670053323 " "
y[1] (numeric) = 0.9335271670053328 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.75711072527925660000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.90000000000009500E-2 " "
y[1] (analytic) = 0.9334342941543803 " "
y[1] (numeric) = 0.933434294154381 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.13637605717668500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.91000000000009500E-2 " "
y[1] (analytic) = 0.9333414319690857 " "
y[1] (numeric) = 0.9333414319690861 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.75805739077885300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.92000000000009500E-2 " "
y[1] (analytic) = 0.9332485804503763 " "
y[1] (numeric) = 0.933248580450377 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.13779617488005700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.93000000000009600E-2 " "
y[1] (analytic) = 0.9331557395991814 " "
y[1] (numeric) = 0.933155739599182 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.94875526941532200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.94000000000009600E-2 " "
y[1] (analytic) = 0.9330629094164291 " "
y[1] (numeric) = 0.9330629094164296 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.759477687606421500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.95000000000009600E-2 " "
y[1] (analytic) = 0.9329700899030478 " "
y[1] (numeric) = 0.9329700899030481 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.569963399600072400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.96000000000009700E-2 " "
y[1] (analytic) = 0.9328772810599651 " "
y[1] (numeric) = 0.9328772810599657 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.95053093888022100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.97000000000009700E-2 " "
y[1] (analytic) = 0.93278448288811 " "
y[1] (numeric) = 0.9327844828881104 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.76089834250954500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.98000000000009700E-2 " "
y[1] (analytic) = 0.9326916953884101 " "
y[1] (numeric) = 0.9326916953884103 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.380685986836872700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.99000000000009700E-2 " "
y[1] (analytic) = 0.9325989185617929 " "
y[1] (numeric) = 0.9325989185617933 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.7618456445876500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.00000000000009700E-2 " "
y[1] (analytic) = 0.9325061524091868 " "
y[1] (numeric) = 0.9325061524091871 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.571739516431588500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.01000000000009800E-2 " "
y[1] (analytic) = 0.9324133969315189 " "
y[1] (numeric) = 0.9324133969315194 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.762793105628005000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.02000000000009800E-2 " "
y[1] (analytic) = 0.9323206521297173 " "
y[1] (numeric) = 0.9323206521297176 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.572450171802117000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.03000000000009800E-2 " "
y[1] (analytic) = 0.932227918004709 " "
y[1] (numeric) = 0.9322279180047094 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.57280554416805700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.04000000000010000E-2 " "
y[1] (analytic) = 0.9321351945574217 " "
y[1] (numeric) = 0.932135194557422 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.57316094631194900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.05000000000010000E-2 " "
y[1] (analytic) = 0.9320424817887821 " "
y[1] (numeric) = 0.9320424817887826 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.76468850430254660000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.060000000000100E-2 " "
y[1] (analytic) = 0.9319497796997179 " "
y[1] (numeric) = 0.9319497796997184 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.765162453208067000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.070000000000100E-2 " "
y[1] (analytic) = 0.931857088291156 " "
y[1] (numeric) = 0.9318570882911563 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.57422733134247700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.080000000000100E-2 " "
y[1] (analytic) = 0.931764407564023 " "
y[1] (numeric) = 0.9317644075640235 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.76611047003905400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.090000000000101E-2 " "
y[1] (analytic) = 0.931671737519246 " "
y[1] (numeric) = 0.9316717375192465 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.766584537946111400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.100000000000101E-2 " "
y[1] (analytic) = 0.9315790781577518 " "
y[1] (numeric) = 0.9315790781577521 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.575293984126446000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.11000000000010100E-2 " "
y[1] (analytic) = 0.9314864294804664 " "
y[1] (numeric) = 0.9314864294804669 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.7675327926972800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.12000000000010200E-2 " "
y[1] (analytic) = 0.9313937914883171 " "
y[1] (numeric) = 0.9313937914883175 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.57600523464220170000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.13000000000010200E-2 " "
y[1] (analytic) = 0.9313011641822294 " "
y[1] (numeric) = 0.9313011641822301 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.15272180895449100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.14000000000010200E-2 " "
y[1] (analytic) = 0.9312085475631304 " "
y[1] (numeric) = 0.931208547563131 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.96119434003525300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.15000000000010200E-2 " "
y[1] (analytic) = 0.931115941631946 " "
y[1] (numeric) = 0.9311159416319464 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.769429777689311300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.16000000000010200E-2 " "
y[1] (analytic) = 0.931023346389602 " "
y[1] (numeric) = 0.9310233463896025 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.769904122943724500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.17000000000010300E-2 " "
y[1] (analytic) = 0.9309307618370246 " "
y[1] (numeric) = 0.9309307618370251 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.77037850778217250000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.18000000000010300E-2 " "
y[1] (analytic) = 0.9308381879751395 " "
y[1] (numeric) = 0.93083818797514 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.770852932195377400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.19000000000010300E-2 " "
y[1] (analytic) = 0.9307456248048727 " "
y[1] (numeric) = 0.930745624804873 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.578495547130541000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.20000000000010400E-2 " "
y[1] (analytic) = 0.9306530723271493 " "
y[1] (numeric) = 0.9306530723271498 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.771801899708912000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.21000000000010400E-2 " "
y[1] (analytic) = 0.9305605305428953 " "
y[1] (numeric) = 0.9305605305428959 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.96534555348830900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.22000000000010400E-2 " "
y[1] (analytic) = 0.9304679994530363 " "
y[1] (numeric) = 0.9304679994530366 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.57956326905746400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.23000000000010400E-2 " "
y[1] (analytic) = 0.9303754790584968 " "
y[1] (numeric) = 0.9303754790584974 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.96653205944689300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.24000000000010400E-2 " "
y[1] (analytic) = 0.9302829693602028 " "
y[1] (numeric) = 0.9302829693602033 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.77370030922400500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.25000000000010500E-2 " "
y[1] (analytic) = 0.930190470359079 " "
y[1] (numeric) = 0.9301904703590795 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.96771876300012000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.26000000000010500E-2 " "
y[1] (analytic) = 0.9300979820560507 " "
y[1] (numeric) = 0.9300979820560511 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.77464975107644500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.27000000000010500E-2 " "
y[1] (analytic) = 0.9300055044520422 " "
y[1] (numeric) = 0.9300055044520428 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.96890566405463500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.28000000000010600E-2 " "
y[1] (analytic) = 0.9299130375479789 " "
y[1] (numeric) = 0.9299130375479794 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.77559935089252700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.29000000000010600E-2 " "
y[1] (analytic) = 0.9298205813447851 " "
y[1] (numeric) = 0.9298205813447856 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.97009276251692600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.30000000000010600E-2 " "
y[1] (analytic) = 0.9297281358433857 " "
y[1] (numeric) = 0.9297281358433861 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.776549108597378000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.31000000000010600E-2 " "
y[1] (analytic) = 0.9296357010447047 " "
y[1] (numeric) = 0.9296357010447052 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.77702404663466200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.32000000000010600E-2 " "
y[1] (analytic) = 0.9295432769496665 " "
y[1] (numeric) = 0.9295432769496672 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.16624853617400900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.33000000000010800E-2 " "
y[1] (analytic) = 0.9294508635591958 " "
y[1] (numeric) = 0.9294508635591965 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.16696106154802200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.34000000000010800E-2 " "
y[1] (analytic) = 0.9293584608742166 " "
y[1] (numeric) = 0.9293584608742171 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.97306137171660700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.35000000000010800E-2 " "
y[1] (analytic) = 0.9292660688956528 " "
y[1] (numeric) = 0.9292660688956531 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.58419314484780760000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.36000000000010900E-2 " "
y[1] (analytic) = 0.929173687624428 " "
y[1] (numeric) = 0.9291736876244284 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.77939932829397400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.37000000000010900E-2 " "
y[1] (analytic) = 0.9290813170614662 " "
y[1] (numeric) = 0.9290813170614669 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.16981175428182500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.38000000000010900E-2 " "
y[1] (analytic) = 0.9289889572076917 " "
y[1] (numeric) = 0.9289889572076921 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.780349716802701500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.39000000000010900E-2 " "
y[1] (analytic) = 0.9288966080640273 " "
y[1] (numeric) = 0.9288966080640279 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.97603121266124100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.40000000000010900E-2 " "
y[1] (analytic) = 0.9288042696313968 " "
y[1] (numeric) = 0.9288042696313974 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.97662532852996600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.4100000000001100E-2 " "
y[1] (analytic) = 0.9287119419107237 " "
y[1] (numeric) = 0.9287119419107243 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.97721949359773200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.4200000000001100E-2 " "
y[1] (analytic) = 0.9286196249029313 " "
y[1] (numeric) = 0.9286196249029317 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.782250966282166600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.4300000000001100E-2 " "
y[1] (analytic) = 0.9285273186089422 " "
y[1] (numeric) = 0.9285273186089429 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.17408956553966900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.4400000000001110E-2 " "
y[1] (analytic) = 0.9284350230296803 " "
y[1] (numeric) = 0.9284350230296808 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.97900228387692400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.45000000000011100E-2 " "
y[1] (analytic) = 0.9283427381660679 " "
y[1] (numeric) = 0.9283427381660686 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.17551597474694300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.46000000000011100E-2 " "
y[1] (analytic) = 0.9282504640190283 " "
y[1] (numeric) = 0.928250464019029 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.17622926780932600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.47000000000011100E-2 " "
y[1] (analytic) = 0.9281582005894841 " "
y[1] (numeric) = 0.9281582005894847 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.17694261982520400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.48000000000011100E-2 " "
y[1] (analytic) = 0.9280659478783577 " "
y[1] (numeric) = 0.9280659478783584 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.1776560307803100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.49000000000011200E-2 " "
y[1] (analytic) = 0.9279737058865719 " "
y[1] (numeric) = 0.9279737058865726 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.17836950066036400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.50000000000011200E-2 " "
y[1] (analytic) = 0.9278814746150492 " "
y[1] (numeric) = 0.9278814746150497 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.78605535296738400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.51000000000011200E-2 " "
y[1] (analytic) = 0.9277892540647115 " "
y[1] (numeric) = 0.927789254064712 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.98316384761512200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.52000000000011300E-2 " "
y[1] (analytic) = 0.9276970442364815 " "
y[1] (numeric) = 0.9276970442364818 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.590255131853627400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.53000000000011300E-2 " "
y[1] (analytic) = 0.9276048451312808 " "
y[1] (numeric) = 0.9276048451312812 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.590611984572041300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.54000000000011300E-2 " "
y[1] (analytic) = 0.9275126567500318 " "
y[1] (numeric) = 0.9275126567500321 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.590968866717144700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.55000000000011300E-2 " "
y[1] (analytic) = 0.9274204790936559 " "
y[1] (numeric) = 0.9274204790936564 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.98554296380293900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.56000000000011300E-2 " "
y[1] (analytic) = 0.9273283121630754 " "
y[1] (numeric) = 0.927328312163076 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.98613786543119100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.57000000000011400E-2 " "
y[1] (analytic) = 0.927236155959212 " "
y[1] (numeric) = 0.9272361559592124 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.59203968964081400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.58000000000011400E-2 " "
y[1] (analytic) = 0.9271440104829869 " "
y[1] (numeric) = 0.9271440104829872 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.59239668942086900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.59000000000011400E-2 " "
y[1] (analytic) = 0.9270518757353218 " "
y[1] (numeric) = 0.927051875735322 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.395169145727786800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.60000000000011600E-2 " "
y[1] (analytic) = 0.9269597517171376 " "
y[1] (numeric) = 0.926959751717138 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.59311077714604500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.61000000000011600E-2 " "
y[1] (analytic) = 0.926867638429356 " "
y[1] (numeric) = 0.9268676384293564 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.59346786507675300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.62000000000011600E-2 " "
y[1] (analytic) = 0.926775535872898 " "
y[1] (numeric) = 0.9267755358728984 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.791766643168783000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.63000000000011600E-2 " "
y[1] (analytic) = 0.9266834440486846 " "
y[1] (numeric) = 0.9266834440486851 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.792242838717767400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.64000000000011600E-2 " "
y[1] (analytic) = 0.9265913629576371 " "
y[1] (numeric) = 0.9265913629576373 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.396359536703160400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.65000000000011700E-2 " "
y[1] (analytic) = 0.9264992926006755 " "
y[1] (numeric) = 0.9264992926006759 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.594896510418600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.66000000000011700E-2 " "
y[1] (analytic) = 0.9264072329787212 " "
y[1] (numeric) = 0.9264072329787215 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.59525374512266200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.67000000000011700E-2 " "
y[1] (analytic) = 0.9263151840926945 " "
y[1] (numeric) = 0.9263151840926949 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.595611009159681600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.68000000000011800E-2 " "
y[1] (analytic) = 0.9262231459435158 " "
y[1] (numeric) = 0.9262231459435163 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.794624403363211000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.69000000000011800E-2 " "
y[1] (analytic) = 0.9261311185321058 " "
y[1] (numeric) = 0.9261311185321063 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.79510083360477800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.70000000000011800E-2 " "
y[1] (analytic) = 0.9260391018593848 " "
y[1] (numeric) = 0.9260391018593851 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.596682977195943500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.71000000000011800E-2 " "
y[1] (analytic) = 0.9259470959262724 " "
y[1] (numeric) = 0.9259470959262729 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.79605381132296060000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.72000000000011800E-2 " "
y[1] (analytic) = 0.9258551007336895 " "
y[1] (numeric) = 0.9258551007336897 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.398265179390091400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.73000000000011900E-2 " "
y[1] (analytic) = 0.9257631162825553 " "
y[1] (numeric) = 0.9257631162825555 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.398503472644943000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.74000000000011900E-2 " "
y[1] (analytic) = 0.9256711425737898 " "
y[1] (numeric) = 0.9256711425737901 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.59811267813176460000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.75000000000011900E-2 " "
y[1] (analytic) = 0.9255791796083128 " "
y[1] (numeric) = 0.9255791796083134 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.99745029428482500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.7600000000001200E-2 " "
y[1] (analytic) = 0.9254872273870444 " "
y[1] (numeric) = 0.9254872273870448 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.798436939036672700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.7700000000001200E-2 " "
y[1] (analytic) = 0.9253952859109035 " "
y[1] (numeric) = 0.9253952859109039 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.79891368165905400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.7800000000001200E-2 " "
y[1] (analytic) = 0.9253033551808098 " "
y[1] (numeric) = 0.9253033551808102 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.79939046328525400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.7900000000001200E-2 " "
y[1] (analytic) = 0.9252114351976822 " "
y[1] (numeric) = 0.9252114351976829 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.19980092585827800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.80000000000012000E-2 " "
y[1] (analytic) = 0.9251195259624406 " "
y[1] (numeric) = 0.9251195259624412 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 6.00043017938760400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.81000000000012100E-2 " "
y[1] (analytic) = 0.9250276274760036 " "
y[1] (numeric) = 0.9250276274760042 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 6.0010263026114710000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.82000000000012100E-2 " "
y[1] (analytic) = 0.9249357397392904 " "
y[1] (numeric) = 0.924935739739291 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 6.00162247454127300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.83000000000012100E-2 " "
y[1] (analytic) = 0.92484386275322 " "
y[1] (numeric) = 0.9248438627532204 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.80177495613182070000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.84000000000012200E-2 " "
y[1] (analytic) = 0.9247519965187105 " "
y[1] (numeric) = 0.9247519965187111 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 6.00281496446973800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.85000000000012200E-2 " "
y[1] (analytic) = 0.9246601410366813 " "
y[1] (numeric) = 0.9246601410366818 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 6.00341128244390200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.86000000000012200E-2 " "
y[1] (analytic) = 0.9245682963080505 " "
y[1] (numeric) = 0.9245682963080512 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.20480917889000800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.87000000000012200E-2 " "
y[1] (analytic) = 0.924476462333737 " "
y[1] (numeric) = 0.9244764623337375 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.803683251480619400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.88000000000012200E-2 " "
y[1] (analytic) = 0.9243846391146588 " "
y[1] (numeric) = 0.9243846391146592 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.60312031695535400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.89000000000012400E-2 " "
y[1] (analytic) = 0.9242928266517341 " "
y[1] (numeric) = 0.9242928266517345 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.80463763262972740000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.90000000000012400E-2 " "
y[1] (analytic) = 0.9242010249458811 " "
y[1] (numeric) = 0.9242010249458815 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.805114881538541400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.91000000000012400E-2 " "
y[1] (analytic) = 0.9241092339980178 " "
y[1] (numeric) = 0.9241092339980183 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.805592169323731300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.92000000000012500E-2 " "
y[1] (analytic) = 0.9240174538090624 " "
y[1] (numeric) = 0.9240174538090626 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.403034747987718000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.93000000000012500E-2 " "
y[1] (analytic) = 0.9239256843799323 " "
y[1] (numeric) = 0.9239256843799325 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.40327343074189500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.94000000000012500E-2 " "
y[1] (analytic) = 0.9238339257115452 " "
y[1] (numeric) = 0.9238339257115455 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.605268199379188500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.95000000000012500E-2 " "
y[1] (analytic) = 0.9237421778048189 " "
y[1] (numeric) = 0.9237421778048193 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.605626281773202700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.96000000000012500E-2 " "
y[1] (analytic) = 0.9236504406606708 " "
y[1] (numeric) = 0.9236504406606713 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.80797919104995500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.97000000000012600E-2 " "
y[1] (analytic) = 0.9235587142800186 " "
y[1] (numeric) = 0.9235587142800188 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.40422835594303600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.98000000000012600E-2 " "
y[1] (analytic) = 0.9234669986637788 " "
y[1] (numeric) = 0.9234669986637792 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.808934271529384000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.99000000000012600E-2 " "
y[1] (analytic) = 0.9233752938128693 " "
y[1] (numeric) = 0.9233752938128696 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.60705890247748100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.00000000000012700E-2 " "
y[1] (analytic) = 0.9232835997282067 " "
y[1] (numeric) = 0.9232835997282072 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.809889507197920300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.01000000000012700E-2 " "
y[1] (analytic) = 0.9231919164107082 " "
y[1] (numeric) = 0.9231919164107086 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.81036718320329070000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.02000000000012700E-2 " "
y[1] (analytic) = 0.9231002438612905 " "
y[1] (numeric) = 0.923100243861291 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.81084489797614650000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.03000000000012700E-2 " "
y[1] (analytic) = 0.9230085820808703 " "
y[1] (numeric) = 0.9230085820808708 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.81132265150654100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.04000000000012700E-2 " "
y[1] (analytic) = 0.9229169310703645 " "
y[1] (numeric) = 0.9229169310703648 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.405900221892259300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.05000000000012800E-2 " "
y[1] (analytic) = 0.9228252908306891 " "
y[1] (numeric) = 0.9228252908306894 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.60920870610008900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.06000000000012800E-2 " "
y[1] (analytic) = 0.9227336613627609 " "
y[1] (numeric) = 0.9227336613627612 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.60956710840752540000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.07000000000012800E-2 " "
y[1] (analytic) = 0.922642042667496 " "
y[1] (numeric) = 0.9226420426674964 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.609925539753215400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.08000000000012900E-2 " "
y[1] (analytic) = 0.9225504347458109 " "
y[1] (numeric) = 0.9225504347458111 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.40685600008644470000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.09000000000012900E-2 " "
y[1] (analytic) = 0.9224588375986212 " "
y[1] (numeric) = 0.9224588375986215 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.40709499301959100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.1000000000001290E-2 " "
y[1] (analytic) = 0.9223672512268432 " "
y[1] (numeric) = 0.9223672512268435 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.6110010079448700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.1100000000001290E-2 " "
y[1] (analytic) = 0.9222756756313923 " "
y[1] (numeric) = 0.9222756756313929 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 6.01893259228101700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.1200000000001290E-2 " "
y[1] (analytic) = 0.9221841108131854 " "
y[1] (numeric) = 0.9221841108131856 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.4078120878620599000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.1300000000001300E-2 " "
y[1] (analytic) = 0.9220925567731366 " "
y[1] (numeric) = 0.9220925567731372 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 6.02012789535132300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.1400000000001300E-2 " "
y[1] (analytic) = 0.9220010135121629 " "
y[1] (numeric) = 0.9220010135121631 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.40829024774279300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.15000000000013000E-2 " "
y[1] (analytic) = 0.9219094810311786 " "
y[1] (numeric) = 0.921909481031179 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.612794034995749400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.16000000000013200E-2 " "
y[1] (analytic) = 0.9218179593310997 " "
y[1] (numeric) = 0.9218179593311 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.61315272734793400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.17000000000013200E-2 " "
y[1] (analytic) = 0.921726448412841 " "
y[1] (numeric) = 0.9217264484128415 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.81801526488426400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.18000000000013200E-2 " "
y[1] (analytic) = 0.9216349482773181 " "
y[1] (numeric) = 0.9216349482773184 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.613870198933990500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.19000000000013200E-2 " "
y[1] (analytic) = 0.9215434589254454 " "
y[1] (numeric) = 0.9215434589254459 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.818971970870342700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.20000000000013200E-2 " "
y[1] (analytic) = 0.9214519803581384 " "
y[1] (numeric) = 0.9214519803581387 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.614587786311932400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.21000000000013300E-2 " "
y[1] (analytic) = 0.9213605125763114 " "
y[1] (numeric) = 0.9213605125763117 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.614946623403950000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.22000000000013300E-2 " "
y[1] (analytic) = 0.9212690555808793 " "
y[1] (numeric) = 0.9212690555808796 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.410203659614156300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.23000000000013300E-2 " "
y[1] (analytic) = 0.9211776093727566 " "
y[1] (numeric) = 0.921177609372757 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.61566438435620600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.24000000000013400E-2 " "
y[1] (analytic) = 0.9210861739528579 " "
y[1] (numeric) = 0.9210861739528582 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.616023308201276600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.25000000000013400E-2 " "
y[1] (analytic) = 0.9209947493220975 " "
y[1] (numeric) = 0.9209947493220977 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.41092150729923600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.26000000000013400E-2 " "
y[1] (analytic) = 0.9209033354813894 " "
y[1] (numeric) = 0.9209033354813897 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.6167412425913400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.27000000000013400E-2 " "
y[1] (analytic) = 0.9208119324316479 " "
y[1] (numeric) = 0.9208119324316483 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.617100253121129000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.28000000000013400E-2 " "
y[1] (analytic) = 0.9207205401737871 " "
y[1] (numeric) = 0.9207205401737876 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.82327905670748100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.29000000000013500E-2 " "
y[1] (analytic) = 0.9206291587087211 " "
y[1] (numeric) = 0.9206291587087214 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.61781836081216700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.30000000000013500E-2 " "
y[1] (analytic) = 0.9205377880373634 " "
y[1] (numeric) = 0.9205377880373637 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.61817745795817600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.31000000000013500E-2 " "
y[1] (analytic) = 0.9204464281606277 " "
y[1] (numeric) = 0.9204464281606282 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.824715445281344600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.32000000000013600E-2 " "
y[1] (analytic) = 0.9203550790794279 " "
y[1] (numeric) = 0.9203550790794283 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.61889573881302900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.33000000000013600E-2 " "
y[1] (analytic) = 0.920263740794677 " "
y[1] (numeric) = 0.9202637407946775 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 6.03209153751099400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.34000000000013600E-2 " "
y[1] (analytic) = 0.920172413307289 " "
y[1] (numeric) = 0.9201724133072894 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.61961413503406300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.35000000000013600E-2 " "
y[1] (analytic) = 0.9200810966181767 " "
y[1] (numeric) = 0.9200810966181772 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.82663116851703600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.36000000000013600E-2 " "
y[1] (analytic) = 0.9199897907282534 " "
y[1] (numeric) = 0.9199897907282539 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 6.03388774426679600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.37000000000013700E-2 " "
y[1] (analytic) = 0.9198984956384322 " "
y[1] (numeric) = 0.9198984956384327 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 6.034486575905500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.38000000000013700E-2 " "
y[1] (analytic) = 0.9198072113496263 " "
y[1] (numeric) = 0.9198072113496266 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.6210512733297700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.39000000000013700E-2 " "
y[1] (analytic) = 0.919715937862748 " "
y[1] (numeric) = 0.9197159378627484 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.82854750654908600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.40000000000013800E-2 " "
y[1] (analytic) = 0.9196246751787103 " "
y[1] (numeric) = 0.9196246751787108 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 6.03628335880291200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.41000000000013800E-2 " "
y[1] (analytic) = 0.919533423298426 " "
y[1] (numeric) = 0.9195334232984265 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.82950590590917100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.42000000000013800E-2 " "
y[1] (analytic) = 0.9194421822228074 " "
y[1] (numeric) = 0.9194421822228078 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.8299851631393500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.43000000000013800E-2 " "
y[1] (analytic) = 0.9193509519527668 " "
y[1] (numeric) = 0.9193509519527674 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 6.03808057340324600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.44000000000013900E-2 " "
y[1] (analytic) = 0.9192597324892171 " "
y[1] (numeric) = 0.9192597324892174 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.623207844486474600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.4500000000001400E-2 " "
y[1] (analytic) = 0.9191685238330698 " "
y[1] (numeric) = 0.9191685238330701 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.62356737368038140000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.4600000000001400E-2 " "
y[1] (analytic) = 0.9190773259852371 " "
y[1] (numeric) = 0.9190773259852376 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 6.03987821935991200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.4700000000001400E-2 " "
y[1] (analytic) = 0.9189861389466312 " "
y[1] (numeric) = 0.9189861389466317 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 6.04047753047574100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.4800000000001410E-2 " "
y[1] (analytic) = 0.9188949627181641 " "
y[1] (numeric) = 0.9188949627181645 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.83286151157485470000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.4900000000001410E-2 " "
y[1] (analytic) = 0.918803797300747 " "
y[1] (numeric) = 0.9188037973007477 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.250011555590601000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.50000000000014100E-2 " "
y[1] (analytic) = 0.9187126426952924 " "
y[1] (numeric) = 0.9187126426952928 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.833820600826898600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.51000000000014100E-2 " "
y[1] (analytic) = 0.9186214989027109 " "
y[1] (numeric) = 0.9186214989027116 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.25145030429603100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.52000000000014100E-2 " "
y[1] (analytic) = 0.9185303659239148 " "
y[1] (numeric) = 0.9185303659239153 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 6.04347480395177500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.53000000000014200E-2 " "
y[1] (analytic) = 0.9184392437598147 " "
y[1] (numeric) = 0.9184392437598153 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.25288928256312300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.54000000000014200E-2 " "
y[1] (analytic) = 0.9183481324113223 " "
y[1] (numeric) = 0.918348132411323 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.25360885774346800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.55000000000014200E-2 " "
y[1] (analytic) = 0.9182570318793486 " "
y[1] (numeric) = 0.9182570318793493 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.25432849026761800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.56000000000014300E-2 " "
y[1] (analytic) = 0.9181659421648045 " "
y[1] (numeric) = 0.9181659421648052 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.2550481801200110000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.57000000000014300E-2 " "
y[1] (analytic) = 0.9180748632686011 " "
y[1] (numeric) = 0.9180748632686017 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 6.04647327273755600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.58000000000014300E-2 " "
y[1] (analytic) = 0.9179837951916487 " "
y[1] (numeric) = 0.9179837951916495 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.46590235370507500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.59000000000014300E-2 " "
y[1] (analytic) = 0.9178927379348588 " "
y[1] (numeric) = 0.9178927379348594 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 6.04767299457568600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.60000000000014300E-2 " "
y[1] (analytic) = 0.9178016914991411 " "
y[1] (numeric) = 0.9178016914991419 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.4675820979170300000000000000E-14 "%"
h = 1.0000E-4 " "
"Finished!"
"Maximum Time Reached before Solution Completed!"
"diff ( y , x , 1 ) = sin ( x ) - cos ( x );"
Iterations = 860
"Total Elapsed Time "= 15 Minutes 2 Seconds
"Elapsed Time(since restart) "= 15 Minutes 2 Seconds
"Expected Time Remaining "= 1 Days 4 Hours 52 Minutes 29 Seconds
"Optimized Time Remaining "= 1 Days 4 Hours 51 Minutes 40 Seconds
"Time to Timeout " Unknown
Percent Done = 0.8610000000000143 "%"
(%o51) true
(%o51) diffeq.max