(%i1) batch(diffeq.max)
read and interpret file: /home/dennis/mastersource/mine/omnisode/diffeq.max
(%i2) load(stringproc)
(%o2) /usr/share/maxima/5.27.0/share/stringproc/stringproc.mac
(%i3) check_sign(x0, xf) := block([ret],
if xf > x0 then ret : 1.0 else ret : - 1.0, ret)
(%o3) check_sign(x0, xf) := block([ret],
if xf > x0 then ret : 1.0 else ret : - 1.0, ret)
(%i4) est_size_answer() := block([min_size], min_size : glob_large_float,
if omniabs(array_y ) < min_size then (min_size : omniabs(array_y ),
1 1
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")),
if min_size < 1.0 then (min_size : 1.0,
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")), min_size)
(%o4) est_size_answer() := block([min_size], min_size : glob_large_float,
if omniabs(array_y ) < min_size then (min_size : omniabs(array_y ),
1 1
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")),
if min_size < 1.0 then (min_size : 1.0,
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")), min_size)
(%i5) test_suggested_h() := block([max_value3, hn_div_ho, hn_div_ho_2,
hn_div_ho_3, value3, no_terms], max_value3 : 0.0, no_terms : glob_max_terms,
hn_div_ho : 0.5, hn_div_ho_2 : 0.25, hn_div_ho_3 : 0.125,
omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, ""),
omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, ""),
omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, ""),
value3 : omniabs(array_y hn_div_ho_3 + array_y hn_div_ho_2
no_terms no_terms - 1
+ array_y hn_div_ho + array_y ),
no_terms - 2 no_terms - 3
if value3 > max_value3 then (max_value3 : value3,
omniout_float(ALWAYS, "value3", 32, value3, 32, "")),
omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, ""), max_value3)
(%o5) test_suggested_h() := block([max_value3, hn_div_ho, hn_div_ho_2,
hn_div_ho_3, value3, no_terms], max_value3 : 0.0, no_terms : glob_max_terms,
hn_div_ho : 0.5, hn_div_ho_2 : 0.25, hn_div_ho_3 : 0.125,
omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, ""),
omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, ""),
omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, ""),
value3 : omniabs(array_y hn_div_ho_3 + array_y hn_div_ho_2
no_terms no_terms - 1
+ array_y hn_div_ho + array_y ),
no_terms - 2 no_terms - 3
if value3 > max_value3 then (max_value3 : value3,
omniout_float(ALWAYS, "value3", 32, value3, 32, "")),
omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, ""), max_value3)
(%i6) reached_interval() := block([ret],
if glob_check_sign array_x >= glob_check_sign glob_next_display
1
then ret : true else ret : false, return(ret))
(%o6) reached_interval() := block([ret],
if glob_check_sign array_x >= glob_check_sign glob_next_display
1
then ret : true else ret : false, return(ret))
(%i7) display_alot(iter) := block([abserr, analytic_val_y, ind_var,
numeric_val, relerr, term_no], if reached_interval()
then (if iter >= 0 then (ind_var : array_x ,
1
omniout_float(ALWAYS, "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 : omniabs(numeric_val - analytic_val_y),
omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val,
20, " "), if omniabs(analytic_val_y) # 0.0
abserr 100.0
then (relerr : -----------------------,
omniabs(analytic_val_y)
if relerr > 1.0E-34 then glob_good_digits : 2 - floor(log10(relerr))
else glob_good_digits : 16) else (relerr : - 1.0, glob_good_digits : - 1),
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_int(INFO, "Correct digits ", 32,
glob_good_digits, 4, " "), omniout_float(ALWAYS,
"h ", 4, glob_h, 20, " "))))
(%o7) display_alot(iter) := block([abserr, analytic_val_y, ind_var,
numeric_val, relerr, term_no], if reached_interval()
then (if iter >= 0 then (ind_var : array_x ,
1
omniout_float(ALWAYS, "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 : omniabs(numeric_val - analytic_val_y),
omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val,
20, " "), if omniabs(analytic_val_y) # 0.0
abserr 100.0
then (relerr : -----------------------,
omniabs(analytic_val_y)
if relerr > 1.0E-34 then glob_good_digits : 2 - floor(log10(relerr))
else glob_good_digits : 16) else (relerr : - 1.0, glob_good_digits : - 1),
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_int(INFO, "Correct digits ", 32,
glob_good_digits, 4, " "), omniout_float(ALWAYS,
"h ", 4, glob_h, 20, " "))))
(%i8) adjust_for_pole(h_param) := block([hnew, sz2, tmp],
block(hnew : h_param, glob_normmax : glob_small_float,
if omniabs(array_y_higher ) > glob_small_float
1, 1
then (tmp : omniabs(array_y_higher ),
1, 1
if tmp < glob_normmax then glob_normmax : tmp),
if glob_look_poles and (omniabs(array_pole ) > glob_small_float)
1
array_pole
1
and (array_pole # glob_large_float) then (sz2 : -----------,
1 10.0
if sz2 < hnew then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param,
12, "due to singularity."), omniout_str(INFO, "Reached Optimal"),
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), return(hnew))
1
(%o8) adjust_for_pole(h_param) := block([hnew, sz2, tmp],
block(hnew : h_param, glob_normmax : glob_small_float,
if omniabs(array_y_higher ) > glob_small_float
1, 1
then (tmp : omniabs(array_y_higher ),
1, 1
if tmp < glob_normmax then glob_normmax : tmp),
if glob_look_poles and (omniabs(array_pole ) > glob_small_float)
1
array_pole
1
and (array_pole # glob_large_float) then (sz2 : -----------,
1 10.0
if sz2 < hnew then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param,
12, "due to singularity."), omniout_str(INFO, "Reached Optimal"),
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), return(hnew))
1
(%i9) prog_report(x_start, x_end) := block([clock_sec, opt_clock_sec,
clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec],
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)), glob_total_exp_sec :
total_clock_sec + glob_optimal_expect_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, "Expected Total Time "),
omniout_timestr(convfloat(glob_total_exp_sec))),
omniout_str_noeol(INFO, "Time to Timeout "),
omniout_timestr(convfloat(left_sec)), omniout_float(INFO,
"Percent Done ", 33, percent_done, 4, "%"))
(%o9) prog_report(x_start, x_end) := block([clock_sec, opt_clock_sec,
clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec],
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)), glob_total_exp_sec :
total_clock_sec + glob_optimal_expect_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, "Expected Total Time "),
omniout_timestr(convfloat(glob_total_exp_sec))),
omniout_str_noeol(INFO, "Time to Timeout "),
omniout_timestr(convfloat(left_sec)), omniout_float(INFO,
"Percent Done ", 33, percent_done, 4, "%"))
(%i10) check_for_pole() := block([cnt, dr1, dr2, ds1, ds2, hdrc, hdrc_BBB, m,
n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new,
ratio, term], n : glob_max_terms, m : - 1 - 1 + n,
while (m >= 10) and ((omniabs(array_y_higher ) < glob_small_float glob_small_float)
1, m
or (omniabs(array_y_higher ) < glob_small_float glob_small_float)
1, m - 1
or (omniabs(array_y_higher ) < glob_small_float glob_small_float)) do m
1, m - 2
array_y_higher
1, m
: m - 1, if m > 10 then (rm0 : ----------------------,
array_y_higher
1, m - 1
array_y_higher
1, m - 1
rm1 : ----------------------, hdrc : convfloat(m) rm0 - convfloat(m - 1) rm1,
array_y_higher
1, m - 2
if omniabs(hdrc) > glob_small_float glob_small_float
glob_h
then (rcs : ------, ord_no :
hdrc
rm1 convfloat((m - 2) (m - 2)) - rm0 convfloat(m - 3)
-----------------------------------------------------,
hdrc
array_real_pole : rcs, array_real_pole : ord_no)
1, 1 1, 2
else (array_real_pole : glob_large_float,
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 omniabs(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 (rad_c : glob_large_float, ord_no : glob_large_float)
elseif ((omniabs(array_y_higher ) >= glob_large_float)
1, m
or (omniabs(array_y_higher ) >= glob_large_float)
1, m - 1
or (omniabs(array_y_higher ) >= glob_large_float)
1, m - 2
or (omniabs(array_y_higher ) >= glob_large_float)
1, m - 3
or (omniabs(array_y_higher ) >= glob_large_float)
1, m - 4
or (omniabs(array_y_higher ) >= glob_large_float))
1, m - 5
or ((omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float))
1, m 1, m - 1 1, m - 2 1, m - 3 1, m - 4 1, m - 5
then (rad_c : glob_large_float, ord_no : glob_large_float)
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 (omniabs(nr1 dr2 - nr2 dr1) <= glob_small_float)
rm4 rm3 rm2
or (omniabs(dr1) <= glob_small_float) then (rad_c : glob_large_float,
ord_no : glob_large_float) else (if omniabs(nr1 dr2 - nr2 dr1) >
dr1 dr2 - ds2 dr1 + ds1 dr2
glob_small_float then (rcs : ---------------------------,
nr1 dr2 - nr2 dr1
rcs nr1 - ds1 convfloat(m)
ord_no : ------------- - ------------,
2.0 dr1 2.0
if omniabs(rcs) > glob_small_float then (if rcs > 0.0
then rad_c : sqrt(rcs) omniabs(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, array_complex_pole : ord_no),
1, 1 1, 2
found_sing : 0, if (1 # found_sing) 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_sing : 1,
1, 2 1, 2
array_type_pole : 2, if glob_display_flag
1
then (if reached_interval() then omniout_str(ALWAYS,
"Complex estimate of poles used for equation 1"))),
if (1 # found_sing) and ((array_real_pole # glob_large_float)
1, 1
and (array_real_pole # glob_large_float) and (array_real_pole > 0.0)
1, 2 1, 1
and (array_real_pole > - 1.0 glob_smallish_float)
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_sing : 1, array_type_pole : 1,
1, 2 1, 2 1
if glob_display_flag then (if reached_interval()
then omniout_str(ALWAYS, "Real estimate of pole used for equation 1"))),
if (1 # found_sing) 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_sing : 1, array_type_pole : 3, if reached_interval()
1
then omniout_str(ALWAYS, "NO POLE for equation 1")),
if (1 # found_sing) and ((array_real_pole < array_complex_pole )
1, 1 1, 1
and (array_real_pole > 0.0) and (array_real_pole > - 1.0
1, 1 1, 2
glob_smallish_float))
then (array_poles : array_real_pole ,
1, 1 1, 1
array_poles : array_real_pole , found_sing : 1, array_type_pole : 1,
1, 2 1, 2 1
if glob_display_flag then (if reached_interval()
then omniout_str(ALWAYS, "Real estimate of pole used for equation 1"))),
if (1 # found_sing) 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,
1, 2 1, 2 1
found_sing : 1, if glob_display_flag then (if reached_interval()
then omniout_str(ALWAYS, "Complex estimate of poles used for equation 1"))),
if 1 # found_sing then (array_poles : glob_large_float,
1, 1
array_poles : glob_large_float, array_type_pole : 3,
1, 2 1
if reached_interval() then omniout_str(ALWAYS, "NO POLE for equation 1")),
array_pole : glob_large_float, array_pole : glob_large_float,
1 2
if array_pole > array_poles then (array_pole : array_poles ,
1 1, 1 1 1, 1
array_pole : array_poles ), if array_pole glob_ratio_of_radius <
2 1, 2 1
omniabs(glob_h) then (h_new : array_pole glob_ratio_of_radius, term : 1,
1
ratio : 1.0, while term <= glob_max_terms do (array_y :
term
array_y ratio, array_y_higher : array_y_higher ratio,
term 1, term 1, term
ratio h_new
array_x : array_x ratio, ratio : ---------------, term : 1 + term),
term term omniabs(glob_h)
glob_h : h_new), if reached_interval() then display_pole())
(%o10) check_for_pole() := block([cnt, dr1, dr2, ds1, ds2, hdrc, hdrc_BBB, m,
n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new,
ratio, term], n : glob_max_terms, m : - 1 - 1 + n,
while (m >= 10) and ((omniabs(array_y_higher ) < glob_small_float glob_small_float)
1, m
or (omniabs(array_y_higher ) < glob_small_float glob_small_float)
1, m - 1
or (omniabs(array_y_higher ) < glob_small_float glob_small_float)) do m
1, m - 2
array_y_higher
1, m
: m - 1, if m > 10 then (rm0 : ----------------------,
array_y_higher
1, m - 1
array_y_higher
1, m - 1
rm1 : ----------------------, hdrc : convfloat(m) rm0 - convfloat(m - 1) rm1,
array_y_higher
1, m - 2
if omniabs(hdrc) > glob_small_float glob_small_float
glob_h
then (rcs : ------, ord_no :
hdrc
rm1 convfloat((m - 2) (m - 2)) - rm0 convfloat(m - 3)
-----------------------------------------------------,
hdrc
array_real_pole : rcs, array_real_pole : ord_no)
1, 1 1, 2
else (array_real_pole : glob_large_float,
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 omniabs(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 (rad_c : glob_large_float, ord_no : glob_large_float)
elseif ((omniabs(array_y_higher ) >= glob_large_float)
1, m
or (omniabs(array_y_higher ) >= glob_large_float)
1, m - 1
or (omniabs(array_y_higher ) >= glob_large_float)
1, m - 2
or (omniabs(array_y_higher ) >= glob_large_float)
1, m - 3
or (omniabs(array_y_higher ) >= glob_large_float)
1, m - 4
or (omniabs(array_y_higher ) >= glob_large_float))
1, m - 5
or ((omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float))
1, m 1, m - 1 1, m - 2 1, m - 3 1, m - 4 1, m - 5
then (rad_c : glob_large_float, ord_no : glob_large_float)
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 (omniabs(nr1 dr2 - nr2 dr1) <= glob_small_float)
rm4 rm3 rm2
or (omniabs(dr1) <= glob_small_float) then (rad_c : glob_large_float,
ord_no : glob_large_float) else (if omniabs(nr1 dr2 - nr2 dr1) >
dr1 dr2 - ds2 dr1 + ds1 dr2
glob_small_float then (rcs : ---------------------------,
nr1 dr2 - nr2 dr1
rcs nr1 - ds1 convfloat(m)
ord_no : ------------- - ------------,
2.0 dr1 2.0
if omniabs(rcs) > glob_small_float then (if rcs > 0.0
then rad_c : sqrt(rcs) omniabs(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, array_complex_pole : ord_no),
1, 1 1, 2
found_sing : 0, if (1 # found_sing) 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_sing : 1,
1, 2 1, 2
array_type_pole : 2, if glob_display_flag
1
then (if reached_interval() then omniout_str(ALWAYS,
"Complex estimate of poles used for equation 1"))),
if (1 # found_sing) and ((array_real_pole # glob_large_float)
1, 1
and (array_real_pole # glob_large_float) and (array_real_pole > 0.0)
1, 2 1, 1
and (array_real_pole > - 1.0 glob_smallish_float)
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_sing : 1, array_type_pole : 1,
1, 2 1, 2 1
if glob_display_flag then (if reached_interval()
then omniout_str(ALWAYS, "Real estimate of pole used for equation 1"))),
if (1 # found_sing) 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_sing : 1, array_type_pole : 3, if reached_interval()
1
then omniout_str(ALWAYS, "NO POLE for equation 1")),
if (1 # found_sing) and ((array_real_pole < array_complex_pole )
1, 1 1, 1
and (array_real_pole > 0.0) and (array_real_pole > - 1.0
1, 1 1, 2
glob_smallish_float))
then (array_poles : array_real_pole ,
1, 1 1, 1
array_poles : array_real_pole , found_sing : 1, array_type_pole : 1,
1, 2 1, 2 1
if glob_display_flag then (if reached_interval()
then omniout_str(ALWAYS, "Real estimate of pole used for equation 1"))),
if (1 # found_sing) 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,
1, 2 1, 2 1
found_sing : 1, if glob_display_flag then (if reached_interval()
then omniout_str(ALWAYS, "Complex estimate of poles used for equation 1"))),
if 1 # found_sing then (array_poles : glob_large_float,
1, 1
array_poles : glob_large_float, array_type_pole : 3,
1, 2 1
if reached_interval() then omniout_str(ALWAYS, "NO POLE for equation 1")),
array_pole : glob_large_float, array_pole : glob_large_float,
1 2
if array_pole > array_poles then (array_pole : array_poles ,
1 1, 1 1 1, 1
array_pole : array_poles ), if array_pole glob_ratio_of_radius <
2 1, 2 1
omniabs(glob_h) then (h_new : array_pole glob_ratio_of_radius, term : 1,
1
ratio : 1.0, while term <= glob_max_terms do (array_y :
term
array_y ratio, array_y_higher : array_y_higher ratio,
term 1, term 1, term
ratio h_new
array_x : array_x ratio, ratio : ---------------, term : 1 + term),
term term omniabs(glob_h)
glob_h : h_new), if reached_interval() then display_pole())
(%i11) get_norms() := block([iii], if not glob_initial_pass
then (iii : 1, while iii <= glob_max_terms do (array_norms : 0.0,
iii
iii : 1 + iii), iii : 1, while iii <=
glob_max_terms do (if omniabs(array_y ) > array_norms
iii iii
then array_norms : omniabs(array_y ), iii : 1 + iii)))
iii iii
(%o11) get_norms() := block([iii], if not glob_initial_pass
then (iii : 1, while iii <= glob_max_terms do (array_norms : 0.0,
iii
iii : 1 + iii), iii : 1, while iii <=
glob_max_terms do (if omniabs(array_y ) > array_norms
iii iii
then array_norms : omniabs(array_y ), iii : 1 + iii)))
iii iii
(%i12) atomall() := block([kkk, order_d, adj2, adj3, temporary, term, temp,
temp2], array_tmp1 : array_const_0D1 array_x ,
1 1 1
array_tmp2 : array_const_0D2 + array_tmp1 ,
1 1 1
array_tmp3 : array_const_0D2 array_x ,
1 1 1
array_tmp2
1
array_tmp4 : array_const_0D3 + array_tmp3 , array_tmp5 : -----------,
1 1 1 1 array_tmp4
1
array_tmp6 : array_tmp5 + array_const_0D0 ,
1 1 1
if not array_y_set_initial then (if 1 <= glob_max_terms
1, 2
then (temporary : array_tmp6 expt(glob_h, 1) factorial_3(0, 1),
1
array_y : temporary, array_y_higher : temporary,
2 1, 2
temporary 1.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 2,
glob_h 2, 1
array_tmp1 : array_const_0D1 array_x , array_tmp2 : array_tmp1 ,
2 1 2 2 2
array_tmp3 : array_const_0D2 array_x , array_tmp4 : array_tmp3 ,
2 1 2 2 2
array_tmp2 - array_tmp5 array_tmp4
2 1 2
array_tmp5 : -------------------------------------,
2 array_tmp4
1
array_tmp6 : array_tmp5 , if not array_y_set_initial
2 2 1, 3
then (if 2 <= glob_max_terms then (temporary :
array_tmp6 expt(glob_h, 1) factorial_3(1, 2), array_y : temporary,
2 3
temporary 2.0
array_y_higher : temporary, temporary : -------------,
1, 3 glob_h
array_y_higher : temporary, 0)), kkk : 3,
2, 2
- array_tmp5 array_tmp4
2 2
array_tmp5 : -------------------------, array_tmp6 : array_tmp5 ,
3 array_tmp4 3 3
1
if not array_y_set_initial then (if 3 <= glob_max_terms
1, 4
then (temporary : array_tmp6 expt(glob_h, 1) factorial_3(2, 3),
3
array_y : temporary, array_y_higher : temporary,
4 1, 4
temporary 3.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 4,
glob_h 2, 3
- array_tmp5 array_tmp4
3 2
array_tmp5 : -------------------------, array_tmp6 : array_tmp5 ,
4 array_tmp4 4 4
1
if not array_y_set_initial then (if 4 <= glob_max_terms
1, 5
then (temporary : array_tmp6 expt(glob_h, 1) factorial_3(3, 4),
4
array_y : temporary, array_y_higher : temporary,
5 1, 5
temporary 4.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 5,
glob_h 2, 4
- array_tmp5 array_tmp4
4 2
array_tmp5 : -------------------------, array_tmp6 : array_tmp5 ,
5 array_tmp4 5 5
1
if not array_y_set_initial then (if 5 <= glob_max_terms
1, 6
then (temporary : array_tmp6 expt(glob_h, 1) factorial_3(4, 5),
5
array_y : temporary, array_y_higher : temporary,
6 1, 6
temporary 5.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 6,
glob_h 2, 5
while kkk <= glob_max_terms do (array_tmp5 :
kkk
- array_tmp5 array_tmp4
kkk - 1 2
-------------------------------, array_tmp6 : array_tmp5 , order_d : 1,
array_tmp4 kkk kkk
1
if 1 + order_d + kkk <= glob_max_terms
then (if not array_y_set_initial
1, order_d + kkk
then (temporary : array_tmp6 expt(glob_h, order_d)
kkk
factorial_3(kkk - 1, - 1 + order_d + kkk), array_y : temporary,
order_d + kkk
array_y_higher : temporary, term : - 1 + order_d + kkk,
1, order_d + kkk
adj2 : - 1 + order_d + kkk, adj3 : 2, while term >=
1 do (if adj3 <= 1 + order_d then (if adj2 > 0
temporary convfp(adj2)
then temporary : ---------------------- else temporary : temporary,
glob_h
array_y_higher : temporary), term : term - 1, adj2 : adj2 - 1,
adj3, term
adj3 : 1 + adj3))), kkk : 1 + kkk))
(%o12) atomall() := block([kkk, order_d, adj2, adj3, temporary, term, temp,
temp2], array_tmp1 : array_const_0D1 array_x ,
1 1 1
array_tmp2 : array_const_0D2 + array_tmp1 ,
1 1 1
array_tmp3 : array_const_0D2 array_x ,
1 1 1
array_tmp2
1
array_tmp4 : array_const_0D3 + array_tmp3 , array_tmp5 : -----------,
1 1 1 1 array_tmp4
1
array_tmp6 : array_tmp5 + array_const_0D0 ,
1 1 1
if not array_y_set_initial then (if 1 <= glob_max_terms
1, 2
then (temporary : array_tmp6 expt(glob_h, 1) factorial_3(0, 1),
1
array_y : temporary, array_y_higher : temporary,
2 1, 2
temporary 1.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 2,
glob_h 2, 1
array_tmp1 : array_const_0D1 array_x , array_tmp2 : array_tmp1 ,
2 1 2 2 2
array_tmp3 : array_const_0D2 array_x , array_tmp4 : array_tmp3 ,
2 1 2 2 2
array_tmp2 - array_tmp5 array_tmp4
2 1 2
array_tmp5 : -------------------------------------,
2 array_tmp4
1
array_tmp6 : array_tmp5 , if not array_y_set_initial
2 2 1, 3
then (if 2 <= glob_max_terms then (temporary :
array_tmp6 expt(glob_h, 1) factorial_3(1, 2), array_y : temporary,
2 3
temporary 2.0
array_y_higher : temporary, temporary : -------------,
1, 3 glob_h
array_y_higher : temporary, 0)), kkk : 3,
2, 2
- array_tmp5 array_tmp4
2 2
array_tmp5 : -------------------------, array_tmp6 : array_tmp5 ,
3 array_tmp4 3 3
1
if not array_y_set_initial then (if 3 <= glob_max_terms
1, 4
then (temporary : array_tmp6 expt(glob_h, 1) factorial_3(2, 3),
3
array_y : temporary, array_y_higher : temporary,
4 1, 4
temporary 3.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 4,
glob_h 2, 3
- array_tmp5 array_tmp4
3 2
array_tmp5 : -------------------------, array_tmp6 : array_tmp5 ,
4 array_tmp4 4 4
1
if not array_y_set_initial then (if 4 <= glob_max_terms
1, 5
then (temporary : array_tmp6 expt(glob_h, 1) factorial_3(3, 4),
4
array_y : temporary, array_y_higher : temporary,
5 1, 5
temporary 4.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 5,
glob_h 2, 4
- array_tmp5 array_tmp4
4 2
array_tmp5 : -------------------------, array_tmp6 : array_tmp5 ,
5 array_tmp4 5 5
1
if not array_y_set_initial then (if 5 <= glob_max_terms
1, 6
then (temporary : array_tmp6 expt(glob_h, 1) factorial_3(4, 5),
5
array_y : temporary, array_y_higher : temporary,
6 1, 6
temporary 5.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 6,
glob_h 2, 5
while kkk <= glob_max_terms do (array_tmp5 :
kkk
- array_tmp5 array_tmp4
kkk - 1 2
-------------------------------, array_tmp6 : array_tmp5 , order_d : 1,
array_tmp4 kkk kkk
1
if 1 + order_d + kkk <= glob_max_terms
then (if not array_y_set_initial
1, order_d + kkk
then (temporary : array_tmp6 expt(glob_h, order_d)
kkk
factorial_3(kkk - 1, - 1 + order_d + kkk), array_y : temporary,
order_d + kkk
array_y_higher : temporary, term : - 1 + order_d + kkk,
1, order_d + kkk
adj2 : - 1 + order_d + kkk, adj3 : 2, while term >=
1 do (if adj3 <= 1 + order_d then (if adj2 > 0
temporary convfp(adj2)
then temporary : ---------------------- else temporary : temporary,
glob_h
array_y_higher : temporary), term : term - 1, adj2 : adj2 - 1,
adj3, term
adj3 : 1 + adj3))), kkk : 1 + kkk))
log(x)
(%i13) log10(x) := ---------
log(10.0)
log(x)
(%o13) log10(x) := ---------
log(10.0)
(%i14) omniout_str(iolevel, str) := if glob_iolevel >= iolevel
then printf(true, "~a~%", string(str))
(%o14) omniout_str(iolevel, str) := if glob_iolevel >= iolevel
then printf(true, "~a~%", string(str))
(%i15) omniout_str_noeol(iolevel, str) :=
if glob_iolevel >= iolevel then printf(true, "~a", string(str))
(%o15) omniout_str_noeol(iolevel, str) :=
if glob_iolevel >= iolevel then printf(true, "~a", string(str))
(%i16) omniout_labstr(iolevel, label, str) :=
if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label),
string(str))
(%o16) omniout_labstr(iolevel, label, str) :=
if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label),
string(str))
(%i17) 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))
(%o17) 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))
(%i18) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) :=
if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value,
postlabel), newline())
(%o18) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) :=
if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value,
postlabel), newline())
(%i19) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen,
postlabel) := if glob_iolevel >= iolevel
then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline())
(%o19) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen,
postlabel) := if glob_iolevel >= iolevel
then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline())
(%i20) dump_series(iolevel, dump_label, series_name, arr_series, numb) :=
block([i], 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
(%o20) dump_series(iolevel, dump_label, series_name, arr_series, numb) :=
block([i], 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
(%i21) dump_series_2(iolevel, dump_label, series_name2, arr_series2, numb,
subnum, arr_x) := (array_series2, numb, subnum) :=
block([i, sub, ts_term], 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
(%o21) dump_series_2(iolevel, dump_label, series_name2, arr_series2, numb,
subnum, arr_x) := (array_series2, numb, subnum) :=
block([i, sub, ts_term], 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
(%i22) 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))
(%o22) 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))
(%i23) logitem_time(fd, secs_in) := block([days, days_int, hours, hours_int,
minutes, minutes_int, sec_int, seconds, secs, years, years_int],
secs : convfloat(secs_in), printf(fd, "| ~%"),
secs
if secs >= 0 then (years_int : trunc(----------------),
glob_sec_in_year
sec_temp : mod(trunc(secs), trunc(glob_sec_in_year)),
sec_temp
days_int : trunc(---------------), sec_temp :
glob_sec_in_day
sec_temp
mod(sec_temp, trunc(glob_sec_in_day)), hours_int : trunc(----------------),
glob_sec_in_hour
sec_temp : mod(sec_temp, trunc(glob_sec_in_hour)),
sec_temp
minutes_int : trunc(------------------),
glob_sec_in_minute
sec_int : mod(sec_temp, trunc(glob_sec_in_minute)),
if 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, " | ~%"))
(%o23) logitem_time(fd, secs_in) := block([days, days_int, hours, hours_int,
minutes, minutes_int, sec_int, seconds, secs, years, years_int],
secs : convfloat(secs_in), printf(fd, "~%"),
secs
if secs >= 0 then (years_int : trunc(----------------),
glob_sec_in_year
sec_temp : mod(trunc(secs), trunc(glob_sec_in_year)),
sec_temp
days_int : trunc(---------------), sec_temp :
glob_sec_in_day
sec_temp
mod(sec_temp, trunc(glob_sec_in_day)), hours_int : trunc(----------------),
glob_sec_in_hour
sec_temp : mod(sec_temp, trunc(glob_sec_in_hour)),
sec_temp
minutes_int : trunc(------------------),
glob_sec_in_minute
sec_int : mod(sec_temp, trunc(glob_sec_in_minute)),
if 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, " | ~%"))
(%i24) omniout_timestr(secs_in) := block([days, days_int, hours, hours_int,
minutes, minutes_int, sec_int, seconds, secs, years, years_int],
secs : convfloat(secs_in), if secs >= 0
secs
then (years_int : trunc(----------------),
glob_sec_in_year
sec_temp : mod(trunc(secs), trunc(glob_sec_in_year)),
sec_temp
days_int : trunc(---------------), sec_temp :
glob_sec_in_day
sec_temp
mod(sec_temp, trunc(glob_sec_in_day)), hours_int : trunc(----------------),
glob_sec_in_hour
sec_temp : mod(sec_temp, trunc(glob_sec_in_hour)),
sec_temp
minutes_int : trunc(------------------),
glob_sec_in_minute
sec_int : mod(sec_temp, trunc(glob_sec_in_minute)),
if 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~%"))
(%o24) omniout_timestr(secs_in) := block([days, days_int, hours, hours_int,
minutes, minutes_int, sec_int, seconds, secs, years, years_int],
secs : convfloat(secs_in), if secs >= 0
secs
then (years_int : trunc(----------------),
glob_sec_in_year
sec_temp : mod(trunc(secs), trunc(glob_sec_in_year)),
sec_temp
days_int : trunc(---------------), sec_temp :
glob_sec_in_day
sec_temp
mod(sec_temp, trunc(glob_sec_in_day)), hours_int : trunc(----------------),
glob_sec_in_hour
sec_temp : mod(sec_temp, trunc(glob_sec_in_hour)),
sec_temp
minutes_int : trunc(------------------),
glob_sec_in_minute
sec_int : mod(sec_temp, trunc(glob_sec_in_minute)),
if 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~%"))
(%i25) ats(mmm_ats, arr_a, arr_b, jjj_ats) :=
block([iii_ats, lll_ats, ma_ats, ret_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 : arr_a arr_b + ret_ats, iii_ats : 1 + iii_ats)),
iii_ats lll_ats
ret_ats)
(%o25) ats(mmm_ats, arr_a, arr_b, jjj_ats) :=
block([iii_ats, lll_ats, ma_ats, ret_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 : arr_a arr_b + ret_ats, iii_ats : 1 + iii_ats)),
iii_ats lll_ats
ret_ats)
(%i26) att(mmm_att, arr_aa, arr_bb, jjj_att) :=
block([al_att, iii_att, lll_att, ma_att, ret_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 : arr_aa arr_bb convfp(al_att) + ret_att,
iii_att lll_att
ret_att
iii_att : 1 + iii_att), ret_att : ---------------), ret_att)
convfp(mmm_att)
(%o26) att(mmm_att, arr_aa, arr_bb, jjj_att) :=
block([al_att, iii_att, lll_att, ma_att, ret_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 : arr_aa arr_bb convfp(al_att) + ret_att,
iii_att lll_att
ret_att
iii_att : 1 + iii_att), ret_att : ---------------), ret_att)
convfp(mmm_att)
(%i27) display_pole_debug(typ, radius, order2) :=
(if typ = 1 then omniout_str(ALWAYS, "Real")
else omniout_str(ALWAYS, "Complex"), omniout_float(ALWAYS,
"DBG Radius of convergence ", 4, radius, 4, " "),
omniout_float(ALWAYS, "DBG Order of pole ", 4, order2, 4, " "))
(%o27) display_pole_debug(typ, radius, order2) :=
(if typ = 1 then omniout_str(ALWAYS, "Real")
else omniout_str(ALWAYS, "Complex"), omniout_float(ALWAYS,
"DBG Radius of convergence ", 4, radius, 4, " "),
omniout_float(ALWAYS, "DBG Order of pole ", 4, order2, 4, " "))
(%i28) 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
(%o28) 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
(%i29) logditto(file) := (printf(file, ""), printf(file, "ditto"),
printf(file, " | "))
(%o29) logditto(file) := (printf(file, ""), printf(file, "ditto"),
printf(file, " | "))
(%i30) logitem_integer(file, n) := (printf(file, ""),
printf(file, "~d", n), printf(file, " | "))
(%o30) logitem_integer(file, n) := (printf(file, ""),
printf(file, "~d", n), printf(file, " | "))
(%i31) logitem_str(file, str) := (printf(file, ""), printf(file, str),
printf(file, " | "))
(%o31) logitem_str(file, str) := (printf(file, ""), printf(file, str),
printf(file, " | "))
(%i32) logitem_good_digits(file, rel_error) :=
block([good_digits], printf(file, ""),
if rel_error # - 1.0 then (if rel_error > + 1.0E-34
then (good_digits : 1 - floor(log10(rel_error)),
printf(file, "~d", good_digits)) else (good_digits : 16,
printf(file, "~d", good_digits))) else printf(file, "Unknown"),
printf(file, " | "))
(%o32) logitem_good_digits(file, rel_error) :=
block([good_digits], printf(file, ""),
if rel_error # - 1.0 then (if rel_error > + 1.0E-34
then (good_digits : 1 - floor(log10(rel_error)),
printf(file, "~d", good_digits)) else (good_digits : 16,
printf(file, "~d", good_digits))) else printf(file, "Unknown"),
printf(file, " | "))
(%i33) log_revs(file, revs) := printf(file, revs)
(%o33) log_revs(file, revs) := printf(file, revs)
(%i34) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x),
printf(file, " | "))
(%o34) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x),
printf(file, " | "))
(%i35) 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, " | "))
(%o35) 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, " | "))
(%i36) logstart(file) := printf(file, "")
(%o36) logstart(file) := printf(file, "
")
(%i37) logend(file) := printf(file, "
~%")
(%o37) logend(file) := printf(file, "~%")
(%i38) chk_data() := block([errflag], 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())
(%o38) chk_data() := block([errflag], 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())
(%i39) comp_expect_sec(t_end2, t_start2, t2, clock_sec2) :=
block([ms2, rrr, sec_left, sub1, sub2], ms2 : clock_sec2,
sub1 : t_end2 - t_start2, sub2 : t2 - t_start2,
if sub1 = 0.0 then sec_left : 0.0 else (if sub2 > 0.0
sub1
then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left)
sub2
(%o39) comp_expect_sec(t_end2, t_start2, t2, clock_sec2) :=
block([ms2, rrr, sec_left, sub1, sub2], ms2 : clock_sec2,
sub1 : t_end2 - t_start2, sub2 : t2 - t_start2,
if sub1 = 0.0 then sec_left : 0.0 else (if sub2 > 0.0
sub1
then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left)
sub2
(%i40) comp_percent(t_end2, t_start2, t2) :=
block([rrr, sub1, sub2], sub1 : t_end2 - t_start2, sub2 : t2 - t_start2,
100.0 sub2
if sub2 > glob_small_float then rrr : ---------- else rrr : 0.0, rrr)
sub1
(%o40) comp_percent(t_end2, t_start2, t2) :=
block([rrr, sub1, sub2], sub1 : t_end2 - t_start2, sub2 : t2 - t_start2,
100.0 sub2
if sub2 > glob_small_float then rrr : ---------- else rrr : 0.0, rrr)
sub1
(%i41) factorial_2(nnn) := nnn!
(%o41) factorial_2(nnn) := nnn!
(%i42) factorial_1(nnn) := block([ret],
if nnn <= glob_max_terms then (if array_fact_1 = 0
nnn
then (ret : factorial_2(nnn), array_fact_1 : ret)
nnn
else ret : array_fact_1 ) else ret : factorial_2(nnn), ret)
nnn
(%o42) factorial_1(nnn) := block([ret],
if nnn <= glob_max_terms then (if array_fact_1 = 0
nnn
then (ret : factorial_2(nnn), array_fact_1 : ret)
nnn
else ret : array_fact_1 ) else ret : factorial_2(nnn), ret)
nnn
(%i43) factorial_3(mmm, nnn) := block([ret],
if (nnn <= glob_max_terms) and (mmm <= glob_max_terms)
factorial_1(mmm)
then (if array_fact_2 = 0 then (ret : ----------------,
mmm, nnn factorial_1(nnn)
array_fact_2 : ret) else ret : array_fact_2 )
mmm, nnn mmm, nnn
factorial_2(mmm)
else ret : ----------------, ret)
factorial_2(nnn)
(%o43) factorial_3(mmm, nnn) := block([ret],
if (nnn <= glob_max_terms) and (mmm <= glob_max_terms)
factorial_1(mmm)
then (if array_fact_2 = 0 then (ret : ----------------,
mmm, nnn factorial_1(nnn)
array_fact_2 : ret) else ret : array_fact_2 )
mmm, nnn mmm, nnn
factorial_2(mmm)
else ret : ----------------, ret)
factorial_2(nnn)
(%i44) convfp(mmm) := mmm
(%o44) convfp(mmm) := mmm
(%i45) convfloat(mmm) := mmm
(%o45) convfloat(mmm) := mmm
(%i46) elapsed_time_seconds() := block([t], t : elapsed_real_time(), t)
(%o46) elapsed_time_seconds() := block([t], t : elapsed_real_time(), t)
(%i47) Si(x) := 0.0
(%o47) Si(x) := 0.0
(%i48) Ci(x) := 0.0
(%o48) Ci(x) := 0.0
(%i49) ln(x) := log(x)
(%o49) ln(x) := log(x)
(%i50) arcsin(x) := asin(x)
(%o50) arcsin(x) := asin(x)
(%i51) arccos(x) := acos(x)
(%o51) arccos(x) := acos(x)
(%i52) arctan(x) := atan(x)
(%o52) arctan(x) := atan(x)
(%i53) omniabs(x) := abs(x)
(%o53) omniabs(x) := abs(x)
(%i54) expt(x, y) := (if (x = 0.0) and (y < 0.0)
y
then print("expt error x = ", x, "y = ", y), x )
(%o54) expt(x, y) := (if (x = 0.0) and (y < 0.0)
y
then print("expt error x = ", x, "y = ", y), x )
(%i55) estimated_needed_step_error(x_start, x_end, estimated_h,
estimated_answer) := block([desired_abs_gbl_error, range, estimated_steps,
step_error], omniout_float(ALWAYS, "glob_desired_digits_correct", 32,
glob_desired_digits_correct, 32, ""), desired_abs_gbl_error :
expt(10.0, - glob_desired_digits_correct) omniabs(estimated_answer),
omniout_float(ALWAYS, "desired_abs_gbl_error", 32, desired_abs_gbl_error, 32,
""), range : x_end - x_start, omniout_float(ALWAYS, "range", 32, range, 32,
range
""), estimated_steps : -----------, omniout_float(ALWAYS, "estimated_steps",
estimated_h
desired_abs_gbl_error
32, estimated_steps, 32, ""), step_error : omniabs(---------------------),
estimated_steps
omniout_float(ALWAYS, "step_error", 32, step_error, 32, ""), step_error)
(%o55) estimated_needed_step_error(x_start, x_end, estimated_h,
estimated_answer) := block([desired_abs_gbl_error, range, estimated_steps,
step_error], omniout_float(ALWAYS, "glob_desired_digits_correct", 32,
glob_desired_digits_correct, 32, ""), desired_abs_gbl_error :
expt(10.0, - glob_desired_digits_correct) omniabs(estimated_answer),
omniout_float(ALWAYS, "desired_abs_gbl_error", 32, desired_abs_gbl_error, 32,
""), range : x_end - x_start, omniout_float(ALWAYS, "range", 32, range, 32,
range
""), estimated_steps : -----------, omniout_float(ALWAYS, "estimated_steps",
estimated_h
desired_abs_gbl_error
32, estimated_steps, 32, ""), step_error : omniabs(---------------------),
estimated_steps
omniout_float(ALWAYS, "step_error", 32, step_error, 32, ""), step_error)
(%i56) exact_soln_y(x) := block(0.25 ln(3.0 + 2.0 x) + 0.5 x)
(%o56) exact_soln_y(x) := block(0.25 ln(3.0 + 2.0 x) + 0.5 x)
(%i57) main() := block([d1, d2, d3, d4, est_err_2, niii, done_once, term, ord,
order_diff, term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter,
calc_term, iii, temp_sum, current_iter, x_start, x_end, it, max_terms,
opt_iter, tmp, subiter, est_needed_step_err, value3, min_value, est_answer,
best_h, found_h, repeat_it], define_variable(glob_max_terms, 30, fixnum),
define_variable(glob_iolevel, 5, fixnum), define_variable(ALWAYS, 1, fixnum),
define_variable(INFO, 2, fixnum), define_variable(DEBUGL, 3, fixnum),
define_variable(DEBUGMASSIVE, 4, fixnum),
define_variable(MAX_UNCHANGED, 10, fixnum),
define_variable(glob_check_sign, 1.0, float),
define_variable(glob_desired_digits_correct, 8.0, float),
define_variable(glob_max_value3, 0.0, float),
define_variable(glob_ratio_of_radius, 0.01, float),
define_variable(glob_percent_done, 0.0, float),
define_variable(glob_subiter_method, 3, fixnum),
define_variable(glob_total_exp_sec, 0.1, float),
define_variable(glob_optimal_expect_sec, 0.1, float),
define_variable(glob_html_log, true, boolean),
define_variable(glob_good_digits, 0, fixnum),
define_variable(glob_max_opt_iter, 10, fixnum),
define_variable(glob_dump, false, boolean),
define_variable(glob_djd_debug, true, boolean),
define_variable(glob_display_flag, true, boolean),
define_variable(glob_djd_debug2, true, boolean),
define_variable(glob_sec_in_minute, 60, fixnum),
define_variable(glob_min_in_hour, 60, fixnum),
define_variable(glob_hours_in_day, 24, fixnum),
define_variable(glob_days_in_year, 365, fixnum),
define_variable(glob_sec_in_hour, 3600, fixnum),
define_variable(glob_sec_in_day, 86400, fixnum),
define_variable(glob_sec_in_year, 31536000, fixnum),
define_variable(glob_almost_1, 0.999, float),
define_variable(glob_clock_sec, 0.0, float),
define_variable(glob_clock_start_sec, 0.0, float),
define_variable(glob_not_yet_finished, true, boolean),
define_variable(glob_initial_pass, true, boolean),
define_variable(glob_not_yet_start_msg, true, boolean),
define_variable(glob_reached_optimal_h, false, boolean),
define_variable(glob_optimal_done, false, boolean),
define_variable(glob_disp_incr, 0.1, float),
define_variable(glob_h, 0.1, float), define_variable(glob_max_h, 0.1, float),
define_variable(glob_large_float, 9.0E+100, float),
define_variable(glob_last_good_h, 0.1, float),
define_variable(glob_look_poles, false, boolean),
define_variable(glob_neg_h, false, boolean),
define_variable(glob_display_interval, 0.0, float),
define_variable(glob_next_display, 0.0, float),
define_variable(glob_dump_analytic, false, boolean),
define_variable(glob_abserr, 1.0E-11, float),
define_variable(glob_relerr, 1.0E-11, float),
define_variable(glob_max_hours, 0.0, float),
define_variable(glob_max_iter, 1000, fixnum),
define_variable(glob_max_rel_trunc_err, 1.0E-11, float),
define_variable(glob_max_trunc_err, 1.0E-11, float),
define_variable(glob_no_eqs, 0, fixnum),
define_variable(glob_optimal_clock_start_sec, 0.0, float),
define_variable(glob_optimal_start, 0.0, float),
define_variable(glob_small_float, 1.0E-201, float),
define_variable(glob_smallish_float, 1.0E-101, float),
define_variable(glob_unchanged_h_cnt, 0, fixnum),
define_variable(glob_warned, false, boolean),
define_variable(glob_warned2, false, boolean),
define_variable(glob_max_sec, 10000.0, float),
define_variable(glob_orig_start_sec, 0.0, float),
define_variable(glob_start, 0, fixnum),
define_variable(glob_curr_iter_when_opt, 0, fixnum),
define_variable(glob_current_iter, 0, fixnum),
define_variable(glob_iter, 0, fixnum),
define_variable(glob_normmax, 0.0, float),
define_variable(glob_max_minutes, 0.0, 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/div_lin_linpostode.ode#################"),
omniout_str(ALWAYS, "diff ( y , x , 1 ) = (0.1 * x + 0.2) / (0.2 * x + 0.3);"),
omniout_str(ALWAYS, "!"), omniout_str(ALWAYS,
"/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits:32,"),
omniout_str(ALWAYS, "max_terms:30,"), omniout_str(ALWAYS, "!"),
omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "x_start:0.1,"), omniout_str(ALWAYS, "x_end:5.0,"),
omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"),
omniout_str(ALWAYS, "glob_look_poles:true,"),
omniout_str(ALWAYS, "glob_max_iter:1000000,"),
omniout_str(ALWAYS, "glob_display_interval:0.1,"),
omniout_str(ALWAYS, "glob_max_minutes:10,"),
omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"),
omniout_str(ALWAYS, "glob_desired_digits_correct:10,"),
omniout_str(ALWAYS, "glob_display_interval:0.001,"),
omniout_str(ALWAYS, "glob_look_poles:true,"),
omniout_str(ALWAYS, "glob_max_iter:10000000,"),
omniout_str(ALWAYS, "glob_max_minutes:3,"),
omniout_str(ALWAYS, "glob_subiter_method:3,"),
omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"),
omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"),
omniout_str(ALWAYS, "exact_soln_y (x) := (block("),
omniout_str(ALWAYS, " (0.5 * x + 0.25 * ln(2.0 * x + 3.0)) "),
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, Digits : 32,
max_terms : 30, glob_max_terms : max_terms, glob_html_log : true,
array(array_y_init, 1 + max_terms), array(array_norms, 1 + max_terms),
array(array_fact_1, 1 + max_terms), array(array_pole, 1 + max_terms),
array(array_1st_rel_error, 1 + max_terms),
array(array_last_rel_error, 1 + max_terms),
array(array_type_pole, 1 + max_terms), array(array_y, 1 + max_terms),
array(array_x, 1 + max_terms), array(array_tmp0, 1 + max_terms),
array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms),
array(array_tmp3, 1 + max_terms), array(array_tmp4, 1 + max_terms),
array(array_tmp5, 1 + max_terms), array(array_tmp6, 1 + max_terms),
array(array_m1, 1 + max_terms), array(array_y_higher, 1 + 2, 1 + max_terms),
array(array_y_higher_work, 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),
array(array_poles, 1 + 1, 1 + 3), array(array_real_pole, 1 + 1, 1 + 3),
array(array_complex_pole, 1 + 1, 1 + 3),
array(array_fact_2, 1 + max_terms, 1 + max_terms), term : 1,
while term <= max_terms do (array_y_init : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_norms : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_fact_1 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_pole : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_1st_rel_error : 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_type_pole : 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_tmp0 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp3 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp4 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp5 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp6 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_m1 : 0.0, term : 1 + term), ord : 1,
term
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_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_work2 : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_set_initial : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 1 do (term : 1, while term <=
3 do (array_real_pole : 0.0, term : 1 + term), ord : 1 + ord),
ord, term
ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_complex_pole : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= max_terms do (term : 1,
while term <= max_terms do (array_fact_2 : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), array(array_y, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_y : 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_tmp0, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp0 : 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_tmp2, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp2 : 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_tmp4, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp4 : 0.0, term : 1 + term),
term
array(array_tmp5, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp5 : 0.0, term : 1 + term),
term
array(array_tmp6, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp6 : 0.0, term : 1 + term),
term
array(array_m1, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_m1 : 0.0, term : 1 + term),
term
array(array_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_const_0D1, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_0D1 : 0.0, term : 1 + term),
term
array_const_0D1 : 0.1, array(array_const_0D2, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_0D2 : 0.0, term : 1 + term),
term
array_const_0D2 : 0.2, array(array_const_0D3, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_0D3 : 0.0, term : 1 + term),
term
array_const_0D3 : 0.3, array(array_m1, 1 + 1 + max_terms), term : 1,
1
while term <= max_terms do (array_m1 : 0.0, term : 1 + term),
term
array_m1 : - 1.0, iiif : 0, while iiif <= glob_max_terms do (jjjf : 0,
1
while jjjf <= glob_max_terms do (array_fact_1 : 0,
iiif
array_fact_2 : 0, jjjf : 1 + jjjf), iiif : 1 + iiif), x_start : 0.1,
iiif, jjjf
x_end : 5.0, array_y_init : exact_soln_y(x_start),
1 + 0
glob_look_poles : true, glob_max_iter : 1000000, glob_display_interval : 0.1,
glob_max_minutes : 10, glob_desired_digits_correct : 10,
glob_display_interval : 0.001, glob_look_poles : true,
glob_max_iter : 10000000, glob_max_minutes : 3, glob_subiter_method : 3,
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),
if glob_h > 0.0 then (glob_neg_h : false,
glob_display_interval : omniabs(glob_display_interval))
else (glob_neg_h : true, glob_display_interval :
- omniabs(glob_display_interval)), chk_data(), array_y_set_initial : true,
1, 1
array_y_set_initial : false, array_y_set_initial : false,
1, 2 1, 3
array_y_set_initial : false, array_y_set_initial : false,
1, 4 1, 5
array_y_set_initial : false, array_y_set_initial : false,
1, 6 1, 7
array_y_set_initial : false, array_y_set_initial : false,
1, 8 1, 9
array_y_set_initial : false, array_y_set_initial : false,
1, 10 1, 11
array_y_set_initial : false, array_y_set_initial : false,
1, 12 1, 13
array_y_set_initial : false, array_y_set_initial : false,
1, 14 1, 15
array_y_set_initial : false, array_y_set_initial : false,
1, 16 1, 17
array_y_set_initial : false, array_y_set_initial : false,
1, 18 1, 19
array_y_set_initial : false, array_y_set_initial : false,
1, 20 1, 21
array_y_set_initial : false, array_y_set_initial : false,
1, 22 1, 23
array_y_set_initial : false, array_y_set_initial : false,
1, 24 1, 25
array_y_set_initial : false, array_y_set_initial : false,
1, 26 1, 27
array_y_set_initial : false, array_y_set_initial : false,
1, 28 1, 29
array_y_set_initial : false, omniout_str(ALWAYS, "START of Optimize"),
1, 30
glob_check_sign : check_sign(x_start, x_end),
glob_h : check_sign(x_start, x_end), if glob_display_interval < glob_h
then glob_h : glob_display_interval, if glob_max_h < glob_h
then glob_h : glob_max_h, found_h : - 1.0, best_h : 0.0,
min_value : glob_large_float, est_answer : est_size_answer(), opt_iter : 1,
while (opt_iter <= 20) and (found_h < 0.0) do (omniout_int(ALWAYS,
"opt_iter", 32, opt_iter, 4, ""), array_x : x_start, array_x : glob_h,
1 2
glob_next_display : x_start, order_diff : 1, term_no : 1,
while term_no <= order_diff do (array_y :
term_no
array_y_init expt(glob_h, term_no - 1)
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,
array_y_init expt(glob_h, term_no - 1)
it
array_y_higher : ----------------------------------------,
r_order, term_no factorial_1(term_no - 1)
term_no : 1 + term_no), r_order : 1 + r_order), atomall(),
est_needed_step_err : estimated_needed_step_error(x_start, x_end, glob_h,
est_answer), omniout_float(ALWAYS, "est_needed_step_err", 32,
est_needed_step_err, 16, ""), value3 : test_suggested_h(),
omniout_float(ALWAYS, "value3", 32, value3, 32, ""),
if (value3 < est_needed_step_err) and (found_h < 0.0)
then (best_h : glob_h, found_h : 1.0),
omniout_float(ALWAYS, "best_h", 32, best_h, 32, ""), opt_iter : 1 + opt_iter,
glob_h : glob_h 0.5), if found_h > 0.0 then glob_h : best_h
else omniout_str(ALWAYS, "No increment to obtain desired accuracy found"),
if glob_html_log then html_log_file : openw("html/entry.html"),
if found_h > 0.0 then (omniout_str(ALWAYS, "START of Soultion"),
array_x : x_start, array_x : glob_h, glob_next_display : x_start,
1 2
order_diff : 1, term_no : 1, while term_no <=
order_diff do (array_y : (array_y_init expt(glob_h, term_no - 1))
term_no term_no
/factorial_1(term_no - 1), term_no : 1 + term_no), 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,
array_y_init expt(glob_h, term_no - 1)
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(),
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 (glob_check_sign array_x < glob_check_sign x_end)
1
and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < convfloat(glob_max_sec)) do (if reached_interval
() then (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(),
display_alot(current_iter), if glob_look_poles then check_for_pole(),
if reached_interval() then glob_next_display :
glob_display_interval + glob_next_display, array_x : glob_h + array_x ,
1 1
array_x : glob_h, order_diff : 2, 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
---------------------------
expt(glob_h, calc_term - 1)
-------------------------------------, 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
temp_sum expt(glob_h, calc_term - 1)
------------------------------------, ord : 1, calc_term : 2,
factorial_1(calc_term - 1)
iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
---------------------------
expt(glob_h, calc_term - 1)
-------------------------------------, 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
temp_sum expt(glob_h, calc_term - 1)
------------------------------------, ord : 1, calc_term : 1,
factorial_1(calc_term - 1)
iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
---------------------------
expt(glob_h, calc_term - 1)
-------------------------------------, 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
temp_sum expt(glob_h, calc_term - 1)
------------------------------------, term_no : glob_max_terms,
factorial_1(calc_term - 1)
while term_no >= 1 do (array_y : array_y_higher_work2 ,
term_no 1, term_no
ord : 1, while ord <= order_diff do (array_y_higher :
ord, term_no
array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1)),
ord, term_no
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 ) = (0.1 * x + 0.2) / (0.2 * x + 0.3);"),
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,
"2013-01-28T13:13:35-06:00"), logitem_str(html_log_file, "Maxima"),
logitem_str(html_log_file, "div_lin_lin"),
logitem_str(html_log_file,
"diff ( y , x , 1 ) = (0.1 * x + 0.2) / (0.2 * x + 0.3);"),
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_good_digits(html_log_file,
array_last_rel_error ), logitem_integer(html_log_file, glob_max_terms),
1
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_total_exp_sec)), 0) else (logitem_str(html_log_file, "Done"),
0), log_revs(html_log_file, " 165 | "), logitem_str(html_log_file, "div_lin_lin diffeq.max"),
logitem_str(html_log_file,
"div_lin_lin maxima results"),
logitem_str(html_log_file, "All Tests - All Languages"),
logend(html_log_file)), if glob_html_log then close(html_log_file)))
(%o57) main() := block([d1, d2, d3, d4, est_err_2, niii, done_once, term, ord,
order_diff, term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter,
calc_term, iii, temp_sum, current_iter, x_start, x_end, it, max_terms,
opt_iter, tmp, subiter, est_needed_step_err, value3, min_value, est_answer,
best_h, found_h, repeat_it], define_variable(glob_max_terms, 30, fixnum),
define_variable(glob_iolevel, 5, fixnum), define_variable(ALWAYS, 1, fixnum),
define_variable(INFO, 2, fixnum), define_variable(DEBUGL, 3, fixnum),
define_variable(DEBUGMASSIVE, 4, fixnum),
define_variable(MAX_UNCHANGED, 10, fixnum),
define_variable(glob_check_sign, 1.0, float),
define_variable(glob_desired_digits_correct, 8.0, float),
define_variable(glob_max_value3, 0.0, float),
define_variable(glob_ratio_of_radius, 0.01, float),
define_variable(glob_percent_done, 0.0, float),
define_variable(glob_subiter_method, 3, fixnum),
define_variable(glob_total_exp_sec, 0.1, float),
define_variable(glob_optimal_expect_sec, 0.1, float),
define_variable(glob_html_log, true, boolean),
define_variable(glob_good_digits, 0, fixnum),
define_variable(glob_max_opt_iter, 10, fixnum),
define_variable(glob_dump, false, boolean),
define_variable(glob_djd_debug, true, boolean),
define_variable(glob_display_flag, true, boolean),
define_variable(glob_djd_debug2, true, boolean),
define_variable(glob_sec_in_minute, 60, fixnum),
define_variable(glob_min_in_hour, 60, fixnum),
define_variable(glob_hours_in_day, 24, fixnum),
define_variable(glob_days_in_year, 365, fixnum),
define_variable(glob_sec_in_hour, 3600, fixnum),
define_variable(glob_sec_in_day, 86400, fixnum),
define_variable(glob_sec_in_year, 31536000, fixnum),
define_variable(glob_almost_1, 0.999, float),
define_variable(glob_clock_sec, 0.0, float),
define_variable(glob_clock_start_sec, 0.0, float),
define_variable(glob_not_yet_finished, true, boolean),
define_variable(glob_initial_pass, true, boolean),
define_variable(glob_not_yet_start_msg, true, boolean),
define_variable(glob_reached_optimal_h, false, boolean),
define_variable(glob_optimal_done, false, boolean),
define_variable(glob_disp_incr, 0.1, float),
define_variable(glob_h, 0.1, float), define_variable(glob_max_h, 0.1, float),
define_variable(glob_large_float, 9.0E+100, float),
define_variable(glob_last_good_h, 0.1, float),
define_variable(glob_look_poles, false, boolean),
define_variable(glob_neg_h, false, boolean),
define_variable(glob_display_interval, 0.0, float),
define_variable(glob_next_display, 0.0, float),
define_variable(glob_dump_analytic, false, boolean),
define_variable(glob_abserr, 1.0E-11, float),
define_variable(glob_relerr, 1.0E-11, float),
define_variable(glob_max_hours, 0.0, float),
define_variable(glob_max_iter, 1000, fixnum),
define_variable(glob_max_rel_trunc_err, 1.0E-11, float),
define_variable(glob_max_trunc_err, 1.0E-11, float),
define_variable(glob_no_eqs, 0, fixnum),
define_variable(glob_optimal_clock_start_sec, 0.0, float),
define_variable(glob_optimal_start, 0.0, float),
define_variable(glob_small_float, 1.0E-201, float),
define_variable(glob_smallish_float, 1.0E-101, float),
define_variable(glob_unchanged_h_cnt, 0, fixnum),
define_variable(glob_warned, false, boolean),
define_variable(glob_warned2, false, boolean),
define_variable(glob_max_sec, 10000.0, float),
define_variable(glob_orig_start_sec, 0.0, float),
define_variable(glob_start, 0, fixnum),
define_variable(glob_curr_iter_when_opt, 0, fixnum),
define_variable(glob_current_iter, 0, fixnum),
define_variable(glob_iter, 0, fixnum),
define_variable(glob_normmax, 0.0, float),
define_variable(glob_max_minutes, 0.0, 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/div_lin_linpostode.ode#################"),
omniout_str(ALWAYS, "diff ( y , x , 1 ) = (0.1 * x + 0.2) / (0.2 * x + 0.3);"),
omniout_str(ALWAYS, "!"), omniout_str(ALWAYS,
"/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits:32,"),
omniout_str(ALWAYS, "max_terms:30,"), omniout_str(ALWAYS, "!"),
omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "x_start:0.1,"), omniout_str(ALWAYS, "x_end:5.0,"),
omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"),
omniout_str(ALWAYS, "glob_look_poles:true,"),
omniout_str(ALWAYS, "glob_max_iter:1000000,"),
omniout_str(ALWAYS, "glob_display_interval:0.1,"),
omniout_str(ALWAYS, "glob_max_minutes:10,"),
omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"),
omniout_str(ALWAYS, "glob_desired_digits_correct:10,"),
omniout_str(ALWAYS, "glob_display_interval:0.001,"),
omniout_str(ALWAYS, "glob_look_poles:true,"),
omniout_str(ALWAYS, "glob_max_iter:10000000,"),
omniout_str(ALWAYS, "glob_max_minutes:3,"),
omniout_str(ALWAYS, "glob_subiter_method:3,"),
omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"),
omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"),
omniout_str(ALWAYS, "exact_soln_y (x) := (block("),
omniout_str(ALWAYS, " (0.5 * x + 0.25 * ln(2.0 * x + 3.0)) "),
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, Digits : 32,
max_terms : 30, glob_max_terms : max_terms, glob_html_log : true,
array(array_y_init, 1 + max_terms), array(array_norms, 1 + max_terms),
array(array_fact_1, 1 + max_terms), array(array_pole, 1 + max_terms),
array(array_1st_rel_error, 1 + max_terms),
array(array_last_rel_error, 1 + max_terms),
array(array_type_pole, 1 + max_terms), array(array_y, 1 + max_terms),
array(array_x, 1 + max_terms), array(array_tmp0, 1 + max_terms),
array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms),
array(array_tmp3, 1 + max_terms), array(array_tmp4, 1 + max_terms),
array(array_tmp5, 1 + max_terms), array(array_tmp6, 1 + max_terms),
array(array_m1, 1 + max_terms), array(array_y_higher, 1 + 2, 1 + max_terms),
array(array_y_higher_work, 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),
array(array_poles, 1 + 1, 1 + 3), array(array_real_pole, 1 + 1, 1 + 3),
array(array_complex_pole, 1 + 1, 1 + 3),
array(array_fact_2, 1 + max_terms, 1 + max_terms), term : 1,
while term <= max_terms do (array_y_init : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_norms : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_fact_1 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_pole : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_1st_rel_error : 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_type_pole : 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_tmp0 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp3 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp4 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp5 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp6 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_m1 : 0.0, term : 1 + term), ord : 1,
term
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_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_work2 : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_set_initial : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 1 do (term : 1, while term <=
3 do (array_real_pole : 0.0, term : 1 + term), ord : 1 + ord),
ord, term
ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_complex_pole : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= max_terms do (term : 1,
while term <= max_terms do (array_fact_2 : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), array(array_y, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_y : 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_tmp0, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp0 : 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_tmp2, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp2 : 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_tmp4, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp4 : 0.0, term : 1 + term),
term
array(array_tmp5, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp5 : 0.0, term : 1 + term),
term
array(array_tmp6, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp6 : 0.0, term : 1 + term),
term
array(array_m1, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_m1 : 0.0, term : 1 + term),
term
array(array_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_const_0D1, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_0D1 : 0.0, term : 1 + term),
term
array_const_0D1 : 0.1, array(array_const_0D2, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_0D2 : 0.0, term : 1 + term),
term
array_const_0D2 : 0.2, array(array_const_0D3, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_0D3 : 0.0, term : 1 + term),
term
array_const_0D3 : 0.3, array(array_m1, 1 + 1 + max_terms), term : 1,
1
while term <= max_terms do (array_m1 : 0.0, term : 1 + term),
term
array_m1 : - 1.0, iiif : 0, while iiif <= glob_max_terms do (jjjf : 0,
1
while jjjf <= glob_max_terms do (array_fact_1 : 0,
iiif
array_fact_2 : 0, jjjf : 1 + jjjf), iiif : 1 + iiif), x_start : 0.1,
iiif, jjjf
x_end : 5.0, array_y_init : exact_soln_y(x_start),
1 + 0
glob_look_poles : true, glob_max_iter : 1000000, glob_display_interval : 0.1,
glob_max_minutes : 10, glob_desired_digits_correct : 10,
glob_display_interval : 0.001, glob_look_poles : true,
glob_max_iter : 10000000, glob_max_minutes : 3, glob_subiter_method : 3,
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),
if glob_h > 0.0 then (glob_neg_h : false,
glob_display_interval : omniabs(glob_display_interval))
else (glob_neg_h : true, glob_display_interval :
- omniabs(glob_display_interval)), chk_data(), array_y_set_initial : true,
1, 1
array_y_set_initial : false, array_y_set_initial : false,
1, 2 1, 3
array_y_set_initial : false, array_y_set_initial : false,
1, 4 1, 5
array_y_set_initial : false, array_y_set_initial : false,
1, 6 1, 7
array_y_set_initial : false, array_y_set_initial : false,
1, 8 1, 9
array_y_set_initial : false, array_y_set_initial : false,
1, 10 1, 11
array_y_set_initial : false, array_y_set_initial : false,
1, 12 1, 13
array_y_set_initial : false, array_y_set_initial : false,
1, 14 1, 15
array_y_set_initial : false, array_y_set_initial : false,
1, 16 1, 17
array_y_set_initial : false, array_y_set_initial : false,
1, 18 1, 19
array_y_set_initial : false, array_y_set_initial : false,
1, 20 1, 21
array_y_set_initial : false, array_y_set_initial : false,
1, 22 1, 23
array_y_set_initial : false, array_y_set_initial : false,
1, 24 1, 25
array_y_set_initial : false, array_y_set_initial : false,
1, 26 1, 27
array_y_set_initial : false, array_y_set_initial : false,
1, 28 1, 29
array_y_set_initial : false, omniout_str(ALWAYS, "START of Optimize"),
1, 30
glob_check_sign : check_sign(x_start, x_end),
glob_h : check_sign(x_start, x_end), if glob_display_interval < glob_h
then glob_h : glob_display_interval, if glob_max_h < glob_h
then glob_h : glob_max_h, found_h : - 1.0, best_h : 0.0,
min_value : glob_large_float, est_answer : est_size_answer(), opt_iter : 1,
while (opt_iter <= 20) and (found_h < 0.0) do (omniout_int(ALWAYS,
"opt_iter", 32, opt_iter, 4, ""), array_x : x_start, array_x : glob_h,
1 2
glob_next_display : x_start, order_diff : 1, term_no : 1,
while term_no <= order_diff do (array_y :
term_no
array_y_init expt(glob_h, term_no - 1)
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,
array_y_init expt(glob_h, term_no - 1)
it
array_y_higher : ----------------------------------------,
r_order, term_no factorial_1(term_no - 1)
term_no : 1 + term_no), r_order : 1 + r_order), atomall(),
est_needed_step_err : estimated_needed_step_error(x_start, x_end, glob_h,
est_answer), omniout_float(ALWAYS, "est_needed_step_err", 32,
est_needed_step_err, 16, ""), value3 : test_suggested_h(),
omniout_float(ALWAYS, "value3", 32, value3, 32, ""),
if (value3 < est_needed_step_err) and (found_h < 0.0)
then (best_h : glob_h, found_h : 1.0),
omniout_float(ALWAYS, "best_h", 32, best_h, 32, ""), opt_iter : 1 + opt_iter,
glob_h : glob_h 0.5), if found_h > 0.0 then glob_h : best_h
else omniout_str(ALWAYS, "No increment to obtain desired accuracy found"),
if glob_html_log then html_log_file : openw("html/entry.html"),
if found_h > 0.0 then (omniout_str(ALWAYS, "START of Soultion"),
array_x : x_start, array_x : glob_h, glob_next_display : x_start,
1 2
order_diff : 1, term_no : 1, while term_no <=
order_diff do (array_y : (array_y_init expt(glob_h, term_no - 1))
term_no term_no
/factorial_1(term_no - 1), term_no : 1 + term_no), 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,
array_y_init expt(glob_h, term_no - 1)
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(),
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 (glob_check_sign array_x < glob_check_sign x_end)
1
and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < convfloat(glob_max_sec)) do (if reached_interval
() then (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(),
display_alot(current_iter), if glob_look_poles then check_for_pole(),
if reached_interval() then glob_next_display :
glob_display_interval + glob_next_display, array_x : glob_h + array_x ,
1 1
array_x : glob_h, order_diff : 2, 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
---------------------------
expt(glob_h, calc_term - 1)
-------------------------------------, 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
temp_sum expt(glob_h, calc_term - 1)
------------------------------------, ord : 1, calc_term : 2,
factorial_1(calc_term - 1)
iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
---------------------------
expt(glob_h, calc_term - 1)
-------------------------------------, 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
temp_sum expt(glob_h, calc_term - 1)
------------------------------------, ord : 1, calc_term : 1,
factorial_1(calc_term - 1)
iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
---------------------------
expt(glob_h, calc_term - 1)
-------------------------------------, 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
temp_sum expt(glob_h, calc_term - 1)
------------------------------------, term_no : glob_max_terms,
factorial_1(calc_term - 1)
while term_no >= 1 do (array_y : array_y_higher_work2 ,
term_no 1, term_no
ord : 1, while ord <= order_diff do (array_y_higher :
ord, term_no
array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1)),
ord, term_no
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 ) = (0.1 * x + 0.2) / (0.2 * x + 0.3);"),
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,
"2013-01-28T13:13:35-06:00"), logitem_str(html_log_file, "Maxima"),
logitem_str(html_log_file, "div_lin_lin"),
logitem_str(html_log_file,
"diff ( y , x , 1 ) = (0.1 * x + 0.2) / (0.2 * x + 0.3);"),
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_good_digits(html_log_file,
array_last_rel_error ), logitem_integer(html_log_file, glob_max_terms),
1
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_total_exp_sec)), 0) else (logitem_str(html_log_file, "Done"),
0), log_revs(html_log_file, " 165 | "), logitem_str(html_log_file, "div_lin_lin diffeq.max"),
logitem_str(html_log_file,
"div_lin_lin maxima results"),
logitem_str(html_log_file, "All Tests - All Languages"),
logend(html_log_file)), if glob_html_log then close(html_log_file)))
(%i58) main()
"##############ECHO OF PROBLEM#################"
"##############temp/div_lin_linpostode.ode#################"
"diff ( y , x , 1 ) = (0.1 * x + 0.2) / (0.2 * x + 0.3);"
"!"
"/* BEGIN FIRST INPUT BLOCK */"
"Digits:32,"
"max_terms:30,"
"!"
"/* END FIRST INPUT BLOCK */"
"/* BEGIN SECOND INPUT BLOCK */"
"x_start:0.1,"
"x_end:5.0,"
"array_y_init[0 + 1] : exact_soln_y(x_start),"
"glob_look_poles:true,"
"glob_max_iter:1000000,"
"glob_display_interval:0.1,"
"glob_max_minutes:10,"
"/* END SECOND INPUT BLOCK */"
"/* BEGIN OVERRIDE BLOCK */"
"glob_desired_digits_correct:10,"
"glob_display_interval:0.001,"
"glob_look_poles:true,"
"glob_max_iter:10000000,"
"glob_max_minutes:3,"
"glob_subiter_method:3,"
"/* END OVERRIDE BLOCK */"
"!"
"/* BEGIN USER DEF BLOCK */"
"exact_soln_y (x) := (block("
" (0.5 * x + 0.25 * ln(2.0 * x + 3.0)) "
"));"
"/* END USER DEF BLOCK */"
"#######END OF ECHO OF PROBLEM#################"
"START of Optimize"
min_size = 0.0 ""
min_size = 1. ""
opt_iter = 1
glob_desired_digits_correct = 10. ""
desired_abs_gbl_error = 1.0000000000E-10 ""
range = 4.9 ""
estimated_steps = 4900. ""
step_error = 2.040816326530612300000000000000E-14 ""
est_needed_step_err = 2.040816326530612300000000000000E-14 ""
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
value3 = 4.73932444745927440000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-86 ""
max_value3 = 4.73932444745927440000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-86 ""
value3 = 4.73932444745927440000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-86 ""
best_h = 1.000E-3 ""
"START of Soultion"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1 " "
y[1] (analytic) = 0.3407877024514202 " "
y[1] (numeric) = 0.3407877024514202 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.101 " "
y[1] (analytic) = 0.3414439036436307 " "
y[1] (numeric) = 0.3414439036436307 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.10200000000000001 " "
y[1] (analytic) = 0.3421000073015282 " "
y[1] (numeric) = 0.3421000073015282 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.10300000000000001 " "
y[1] (analytic) = 0.34275601354684027 " "
y[1] (numeric) = 0.34275601354684027 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.10400000000000001 " "
y[1] (analytic) = 0.343411922501067 " "
y[1] (numeric) = 0.343411922501067 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.10500000000000001 " "
y[1] (analytic) = 0.3440677342854811 " "
y[1] (numeric) = 0.3440677342854811 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.10600000000000001 " "
y[1] (analytic) = 0.34472344902112884 " "
y[1] (numeric) = 0.3447234490211288 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.61030969575427480000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.10700000000000001 " "
y[1] (analytic) = 0.3453790668288302 " "
y[1] (numeric) = 0.3453790668288302 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.10800000000000001 " "
y[1] (analytic) = 0.34603458782918 " "
y[1] (numeric) = 0.34603458782917995 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.604208168307756000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.10900000000000001 " "
y[1] (analytic) = 0.34669001214254785 " "
y[1] (numeric) = 0.34669001214254785 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 2.3116581718315494 " "
Order of pole = 5.61044544156175100000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.11000000000000001 " "
y[1] (analytic) = 0.34734533988907923 " "
y[1] (numeric) = 0.34734533988907923 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 10.996936716526474 " "
Order of pole = 4.14459577768866440000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.11100000000000002 " "
y[1] (analytic) = 0.34800057118869565 " "
y[1] (numeric) = 0.34800057118869565 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.11200000000000002 " "
y[1] (analytic) = 0.3486557061610955 " "
y[1] (numeric) = 0.3486557061610955 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.11300000000000002 " "
y[1] (analytic) = 0.34931074492575426 " "
y[1] (numeric) = 0.3493107449257543 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.589162430232619300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.11400000000000002 " "
y[1] (analytic) = 0.3499656876019256 " "
y[1] (numeric) = 0.34996568760192565 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.586188394972021500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.11500000000000002 " "
y[1] (analytic) = 0.35062053430864126 " "
y[1] (numeric) = 0.3506205343086414 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 3.16645180754832500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.11600000000000002 " "
y[1] (analytic) = 0.35127528516471224 " "
y[1] (numeric) = 0.3512752851647123 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.580274889115206600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.11700000000000002 " "
y[1] (analytic) = 0.35192994028872876 " "
y[1] (numeric) = 0.3519299402887288 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.57733528399759400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.11800000000000002 " "
y[1] (analytic) = 0.3525844997990613 " "
y[1] (numeric) = 0.35258449979906137 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.57440702194491700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 5.686131068381676 " "
Order of pole = 9.24433862792284300000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.11900000000000002 " "
y[1] (analytic) = 0.35323896381386083 " "
y[1] (numeric) = 0.3532389638138609 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.571490036996864800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.12000000000000002 " "
y[1] (analytic) = 0.35389333245105953 " "
y[1] (numeric) = 0.35389333245105953 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.12100000000000002 " "
y[1] (analytic) = 0.3545476058283711 " "
y[1] (numeric) = 0.35454760582837114 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.56568963712392400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.12200000000000003 " "
y[1] (analytic) = 0.3552017840632916 " "
y[1] (numeric) = 0.35520178406329167 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.562806092814178500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.12300000000000003 " "
y[1] (analytic) = 0.35585586727309987 " "
y[1] (numeric) = 0.3558558672730999 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.559933566829630500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.12400000000000003 " "
y[1] (analytic) = 0.35650985557485787 " "
y[1] (numeric) = 0.3565098555748579 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.55707199571659300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.12500000000000003 " "
y[1] (analytic) = 0.35716374908541154 " "
y[1] (numeric) = 0.3571637490854116 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.554221316508327700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.12600000000000003 " "
y[1] (analytic) = 0.35781754792139103 " "
y[1] (numeric) = 0.3578175479213911 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.551381466720382400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.12700000000000003 " "
y[1] (analytic) = 0.3584712521992115 " "
y[1] (numeric) = 0.35847125219921155 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.548552384345980600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.271575033092973 " "
Order of pole = 2.58815191500616500000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.12800000000000003 " "
y[1] (analytic) = 0.3591248620350735 " "
y[1] (numeric) = 0.3591248620350735 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.12900000000000003 " "
y[1] (analytic) = 0.35977837754496333 " "
y[1] (numeric) = 0.3597783775449634 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.54292627617178900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.13000000000000003 " "
y[1] (analytic) = 0.3604317988446541 " "
y[1] (numeric) = 0.3604317988446541 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.13100000000000003 " "
y[1] (analytic) = 0.36108512604970555 " "
y[1] (numeric) = 0.36108512604970555 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.13200000000000003 " "
y[1] (analytic) = 0.36173835927546516 " "
y[1] (numeric) = 0.36173835927546516 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 3.1414073641885794 " "
Order of pole = 8.35722602232635800000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.13300000000000003 " "
y[1] (analytic) = 0.3623914986370683 " "
y[1] (numeric) = 0.3623914986370684 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.531800592454066500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.13400000000000004 " "
y[1] (analytic) = 0.36304454424943916 " "
y[1] (numeric) = 0.36304454424943916 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.13500000000000004 " "
y[1] (analytic) = 0.36369749622729053 " "
y[1] (numeric) = 0.36369749622729053 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.13600000000000004 " "
y[1] (analytic) = 0.36435035468512517 " "
y[1] (numeric) = 0.36435035468512517 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.13700000000000004 " "
y[1] (analytic) = 0.3650031197372358 " "
y[1] (numeric) = 0.3650031197372358 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.13800000000000004 " "
y[1] (analytic) = 0.3656557914977058 " "
y[1] (numeric) = 0.3656557914977058 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.13900000000000004 " "
y[1] (analytic) = 0.3663083700804095 " "
y[1] (numeric) = 0.3663083700804095 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.14000000000000004 " "
y[1] (analytic) = 0.3669608555990131 " "
y[1] (numeric) = 0.3669608555990131 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 7.804197088551822 " "
Order of pole = 4.13908907148652360000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.14100000000000004 " "
y[1] (analytic) = 0.36761324816697477 " "
y[1] (numeric) = 0.36761324816697477 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.14200000000000004 " "
y[1] (analytic) = 0.36826554789754545 " "
y[1] (numeric) = 0.36826554789754545 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.14300000000000004 " "
y[1] (analytic) = 0.3689177549037691 " "
y[1] (numeric) = 0.3689177549037691 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.14400000000000004 " "
y[1] (analytic) = 0.3695698692984834 " "
y[1] (numeric) = 0.3695698692984834 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.14500000000000005 " "
y[1] (analytic) = 0.37022189119432014 " "
y[1] (numeric) = 0.37022189119432014 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.14600000000000005 " "
y[1] (analytic) = 0.3708738207037059 " "
y[1] (numeric) = 0.37087382070370584 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.496766504735478300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.14700000000000005 " "
y[1] (analytic) = 0.37152565793886216 " "
y[1] (numeric) = 0.37152565793886216 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 0.6887492002451578 " "
Order of pole = 8.80007178238884100000000000E-12 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.14800000000000005 " "
y[1] (analytic) = 0.37217740301180635 " "
y[1] (numeric) = 0.37217740301180635 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.14900000000000005 " "
y[1] (analytic) = 0.3728290560343518 " "
y[1] (numeric) = 0.37282905603435185 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.488916980390689600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.15000000000000005 " "
y[1] (analytic) = 0.37348061711810865 " "
y[1] (numeric) = 0.3734806171181087 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.48631946845324800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.15100000000000005 " "
y[1] (analytic) = 0.3741320863744841 " "
y[1] (numeric) = 0.37413208637448414 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.4837313679558200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.15200000000000005 " "
y[1] (analytic) = 0.3747834639146829 " "
y[1] (numeric) = 0.374783463914683 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.481152627478105300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.15300000000000005 " "
y[1] (analytic) = 0.37543474984970815 " "
y[1] (numeric) = 0.3754347498497082 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.4785831959742599000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.15400000000000005 " "
y[1] (analytic) = 0.37608594429036124 " "
y[1] (numeric) = 0.3760859442903613 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.476023022769493200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.15500000000000005 " "
y[1] (analytic) = 0.3767370473472429 " "
y[1] (numeric) = 0.37673704734724295 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.47347205755670120000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.15600000000000006 " "
y[1] (analytic) = 0.37738805913075335 " "
y[1] (numeric) = 0.3773880591307534 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.47093025039313490000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 0.7997949737276725 " "
Order of pole = 4.1566750041965860000000000000E-13 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.15700000000000006 " "
y[1] (analytic) = 0.3780389797510928 " "
y[1] (numeric) = 0.3780389797510929 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 2.93679510339422130000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.15800000000000006 " "
y[1] (analytic) = 0.3786898093182622 " "
y[1] (numeric) = 0.37868980931826224 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.46587391224474700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.15900000000000006 " "
y[1] (analytic) = 0.37934054794206323 " "
y[1] (numeric) = 0.3793405479420633 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.463359283166745800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 0.8990147309354092 " "
Order of pole = 1.90709670278010900000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.16000000000000006 " "
y[1] (analytic) = 0.37999119573209933 " "
y[1] (numeric) = 0.3799911957320994 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.460853615945201800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.16100000000000006 " "
y[1] (analytic) = 0.3806417527977758 " "
y[1] (numeric) = 0.3806417527977759 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 2.91671372482089900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.16200000000000006 " "
y[1] (analytic) = 0.3812922192483005 " "
y[1] (numeric) = 0.38129221924830053 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.455868974737943300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.16300000000000006 " "
y[1] (analytic) = 0.38194259519268403 " "
y[1] (numeric) = 0.3819425951926841 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.453389905445171300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 3.1156894314451904 " "
Order of pole = 8.97113494602308500000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.16400000000000006 " "
y[1] (analytic) = 0.38259288073974057 " "
y[1] (numeric) = 0.3825928807397406 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.45091960738860100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 7.86274375935228 " "
Order of pole = 4.1830716668300740000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.16500000000000006 " "
y[1] (analytic) = 0.38324307599808816 " "
y[1] (numeric) = 0.3832430759980882 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.44845803376066100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.16600000000000006 " "
y[1] (analytic) = 0.3838931810761491 " "
y[1] (numeric) = 0.38389318107614917 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.446005138086748600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.16700000000000007 " "
y[1] (analytic) = 0.3845431960821506 " "
y[1] (numeric) = 0.38454319608215065 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.44356087422227800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.16800000000000007 " "
y[1] (analytic) = 0.3851931211241251 " "
y[1] (numeric) = 0.3851931211241252 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.44112519634975100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 3.629728570639592 " "
Order of pole = 1.15479181772570880000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.16900000000000007 " "
y[1] (analytic) = 0.38584295630991083 " "
y[1] (numeric) = 0.38584295630991094 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 2.8773961179517304000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.17000000000000007 " "
y[1] (analytic) = 0.3864927017471523 " "
y[1] (numeric) = 0.3864927017471524 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 2.872558833857299000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.17100000000000007 " "
y[1] (analytic) = 0.3871423575433005 " "
y[1] (numeric) = 0.3871423575433006 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 2.86773845070926400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 0.682350972411679 " "
Order of pole = 8.2778228716051670000000000000E-13 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.17200000000000007 " "
y[1] (analytic) = 0.38779192380561384 " "
y[1] (numeric) = 0.38779192380561395 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 2.86293487943207300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.780512049354957 " "
Order of pole = 1.527666881884215400000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.17300000000000007 " "
y[1] (analytic) = 0.38844140064115806 " "
y[1] (numeric) = 0.38844140064115823 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 4.287222047364024300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.17400000000000007 " "
y[1] (analytic) = 0.38909078815680725 " "
y[1] (numeric) = 0.3890907881568074 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 4.28006672896760900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.17500000000000007 " "
y[1] (analytic) = 0.3897400864592438 " "
y[1] (numeric) = 0.38974008645924396 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 4.27293623313721800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.17600000000000007 " "
y[1] (analytic) = 0.3903892956549592 " "
y[1] (numeric) = 0.39038929565495933 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 2.84388695331035300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.6383707606665032 " "
Order of pole = 1.72981629020796400000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.17700000000000007 " "
y[1] (analytic) = 0.3910384158502543 " "
y[1] (numeric) = 0.39103841585025445 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 4.2587491904515695000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.17800000000000007 " "
y[1] (analytic) = 0.39168744715124 " "
y[1] (numeric) = 0.3916874471512401 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 2.834461590995211400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.17900000000000008 " "
y[1] (analytic) = 0.3923363896638373 " "
y[1] (numeric) = 0.39233638966383744 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 2.829773260584929600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.18000000000000008 " "
y[1] (analytic) = 0.3929852434937783 " "
y[1] (numeric) = 0.3929852434937784 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 2.82510105151755800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.18100000000000008 " "
y[1] (analytic) = 0.393634008746606 " "
y[1] (numeric) = 0.39363400874660615 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 4.23066732023594200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.18200000000000008 " "
y[1] (analytic) = 0.3942826855276755 " "
y[1] (numeric) = 0.3942826855276756 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 2.815804663446799000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.18300000000000008 " "
y[1] (analytic) = 0.3949312739421536 " "
y[1] (numeric) = 0.39493127394215377 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 4.21677047835330400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.18400000000000008 " "
y[1] (analytic) = 0.3955797740950201 " "
y[1] (numeric) = 0.39557977409502026 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 4.20985764691223500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 0.9345101640926521 " "
Order of pole = 8.064660050877137000000000000E-12 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.18500000000000008 " "
y[1] (analytic) = 0.39622818609106764 " "
y[1] (numeric) = 0.3962281860910678 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 4.20296837881942200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 0.8447225694510294 " "
Order of pole = 2.012079391988663700000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.18600000000000008 " "
y[1] (analytic) = 0.3968765100349023 " "
y[1] (numeric) = 0.3968765100349025 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 4.196102552885483400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.18700000000000008 " "
y[1] (analytic) = 0.3975247460309442 " "
y[1] (numeric) = 0.39752474603094434 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 4.189260048752039000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.18800000000000008 " "
y[1] (analytic) = 0.3981728941834277 " "
y[1] (numeric) = 0.3981728941834279 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 4.18244074688459200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.345612959572371 " "
Order of pole = 1.55413459879127900000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.18900000000000008 " "
y[1] (analytic) = 0.3988209545964021 " "
y[1] (numeric) = 0.3988209545964023 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 5.56752603808732900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.19000000000000009 " "
y[1] (analytic) = 0.3994689273737319 " "
y[1] (numeric) = 0.3994689273737321 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 4.16887127588698400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1910000000000001 " "
y[1] (analytic) = 0.40011681261909715 " "
y[1] (numeric) = 0.4001168126190974 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 5.54949449565902500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1920000000000001 " "
y[1] (analytic) = 0.40076461043599426 " "
y[1] (numeric) = 0.40076461043599443 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 4.15539319982871500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1930000000000001 " "
y[1] (analytic) = 0.40141232092773593 " "
y[1] (numeric) = 0.4014123209277361 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 4.14868814462109100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 8.226590888066655 " "
Order of pole = 4.45115944103235960000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1940000000000001 " "
y[1] (analytic) = 0.40205994419745206 " "
y[1] (numeric) = 0.4020599441974522 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 4.14200559138486860000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1950000000000001 " "
y[1] (analytic) = 0.4027074803480898 " "
y[1] (numeric) = 0.40270748034808995 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 4.13534542615961200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1960000000000001 " "
y[1] (analytic) = 0.4033549294824142 " "
y[1] (numeric) = 0.4033549294824144 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 5.50494338100588900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 0.9986566351297979 " "
Order of pole = 8.707701226740028000000000000E-12 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1970000000000001 " "
y[1] (analytic) = 0.40400229170300866 " "
y[1] (numeric) = 0.4040022917030089 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 5.49612241032190400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1980000000000001 " "
y[1] (analytic) = 0.4046495671122753 " "
y[1] (numeric) = 0.40464956711227545 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 4.11549813044941700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1990000000000001 " "
y[1] (analytic) = 0.4052967558124351 " "
y[1] (numeric) = 0.4052967558124353 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 4.10892639295742400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.057989738159471 " "
Order of pole = 2.843947299879801000000000000E-12 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2000000000000001 " "
y[1] (analytic) = 0.405943857905529 " "
y[1] (numeric) = 0.40594385790552917 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 4.102376485088463600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2010000000000001 " "
y[1] (analytic) = 0.40659087349341755 " "
y[1] (numeric) = 0.40659087349341777 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 5.461131063204400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2020000000000001 " "
y[1] (analytic) = 0.407237802677782 " "
y[1] (numeric) = 0.4072378026777822 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 5.452455628259031000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2030000000000001 " "
y[1] (analytic) = 0.40788464556012416 " "
y[1] (numeric) = 0.40788464556012444 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 6.80476108079866700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2040000000000001 " "
y[1] (analytic) = 0.40853140224176737 " "
y[1] (numeric) = 0.40853140224176765 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 6.79398828665887200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2050000000000001 " "
y[1] (analytic) = 0.4091780728238564 " "
y[1] (numeric) = 0.40917807282385665 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 6.78325097532222400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2060000000000001 " "
y[1] (analytic) = 0.40982465740735824 " "
y[1] (numeric) = 0.40982465740735846 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 5.41803917630858900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2070000000000001 " "
y[1] (analytic) = 0.4104711560930623 " "
y[1] (numeric) = 0.4104711560930625 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 5.409505677292686000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2080000000000001 " "
y[1] (analytic) = 0.4111175689815809 " "
y[1] (numeric) = 0.41111756898158114 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 5.401000143951022000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2090000000000001 " "
y[1] (analytic) = 0.41176389617334985 " "
y[1] (numeric) = 0.4117638961733501 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 5.39252243794468100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2100000000000001 " "
y[1] (analytic) = 0.4124101377686285 " "
y[1] (numeric) = 0.4124101377686287 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 5.38407242184728700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2110000000000001 " "
y[1] (analytic) = 0.4130562938675005 " "
y[1] (numeric) = 0.4130562938675007 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 5.375649959137493000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2120000000000001 " "
y[1] (analytic) = 0.41370236456987397 " "
y[1] (numeric) = 0.4137023645698742 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 5.36725491419153300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2130000000000001 " "
y[1] (analytic) = 0.4143483499754821 " "
y[1] (numeric) = 0.4143483499754823 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 5.35888715227586100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2140000000000001 " "
y[1] (analytic) = 0.4149942501838834 " "
y[1] (numeric) = 0.4149942501838836 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 4.01290990465488900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2150000000000001 " "
y[1] (analytic) = 0.4156400652944622 " "
y[1] (numeric) = 0.4156400652944624 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 5.3422329430085800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.28721618862471 " "
Order of pole = 1.917754843816510400000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2160000000000001 " "
y[1] (analytic) = 0.416285795406429 " "
y[1] (numeric) = 0.41628579540642924 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 5.333946230575661000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2170000000000001 " "
y[1] (analytic) = 0.416931440618821 " "
y[1] (numeric) = 0.4169314406188212 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 5.32568627099617800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2180000000000001 " "
y[1] (analytic) = 0.4175770010305023 " "
y[1] (numeric) = 0.4175770010305025 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 3.988089700409742600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2190000000000001 " "
y[1] (analytic) = 0.41822247674016444 " "
y[1] (numeric) = 0.41822247674016466 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 5.30924608968313300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2200000000000001 " "
y[1] (analytic) = 0.4188678678463268 " "
y[1] (numeric) = 0.418867867846327 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 5.301065609704263000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2210000000000001 " "
y[1] (analytic) = 0.419513174447337 " "
y[1] (numeric) = 0.4195131744473372 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 5.29291136607452100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.22200000000000011 " "
y[1] (analytic) = 0.42015839664137117 " "
y[1] (numeric) = 0.4201583966413714 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 5.284783231752449000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.22300000000000011 " "
y[1] (analytic) = 0.42080353452643454 " "
y[1] (numeric) = 0.42080353452643476 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 5.27668108051698500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.22400000000000012 " "
y[1] (analytic) = 0.42144858820036174 " "
y[1] (numeric) = 0.42144858820036196 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 5.268604786960839000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.22500000000000012 " "
y[1] (analytic) = 0.42209355776081714 " "
y[1] (numeric) = 0.4220935577608174 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 6.57569278310493600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.22600000000000012 " "
y[1] (analytic) = 0.4227384433052955 " "
y[1] (numeric) = 0.4227384433052957 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 5.25252927528698800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.22700000000000012 " "
y[1] (analytic) = 0.4233832449311218 " "
y[1] (numeric) = 0.42338324493112206 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 6.55566226295618700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.22800000000000012 " "
y[1] (analytic) = 0.42402796273545235 " "
y[1] (numeric) = 0.4240279627354526 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 6.54569463687596300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.247383242119245 " "
Order of pole = 1.083577672034152800000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.22900000000000012 " "
y[1] (analytic) = 0.42467259681527475 " "
y[1] (numeric) = 0.424672596815275 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 6.53575856407379900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 7.753564059376587 " "
Order of pole = 5.789075885331840000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.23000000000000012 " "
y[1] (analytic) = 0.4253171472674083 " "
y[1] (numeric) = 0.42531714726740855 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 5.22068311497974700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.23100000000000012 " "
y[1] (analytic) = 0.4259616141885044 " "
y[1] (numeric) = 0.4259616141885047 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 6.51598047596514300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.23200000000000012 " "
y[1] (analytic) = 0.42660599767504725 " "
y[1] (numeric) = 0.4266059976750475 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 5.204910529508455000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 2.4189846704849503 " "
Order of pole = 2.775735197246831400000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.23300000000000012 " "
y[1] (analytic) = 0.42725029782335366 " "
y[1] (numeric) = 0.4272502978233539 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 5.197061442818127000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 0.3351350032458778 " "
Order of pole = 1.280398009839700500000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.23400000000000012 " "
y[1] (analytic) = 0.42789451472957396 " "
y[1] (numeric) = 0.4278945147295742 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 5.18923700308151400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.23500000000000013 " "
y[1] (analytic) = 0.42853864848969203 " "
y[1] (numeric) = 0.4285386484896923 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 6.47679636678009900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.23600000000000013 " "
y[1] (analytic) = 0.429182699199526 " "
y[1] (numeric) = 0.4291826991995263 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 6.46707699713809100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.23700000000000013 " "
y[1] (analytic) = 0.4298266669547284 " "
y[1] (numeric) = 0.42982666695472865 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 6.45738800067336900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.23800000000000013 " "
y[1] (analytic) = 0.4304705518507865 " "
y[1] (numeric) = 0.43047055185078675 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 6.4477292340428900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 3.3153638734062314 " "
Order of pole = 6.6672001253209600000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.23900000000000013 " "
y[1] (analytic) = 0.4311143539830229 " "
y[1] (numeric) = 0.43111435398302317 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 6.43810055480591100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.24000000000000013 " "
y[1] (analytic) = 0.43175807344659584 " "
y[1] (numeric) = 0.4317580734465961 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 6.42850182141689500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.24100000000000013 " "
y[1] (analytic) = 0.4324017103364994 " "
y[1] (numeric) = 0.4324017103364997 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 7.70271947186219300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.24200000000000013 " "
y[1] (analytic) = 0.43304526474756416 " "
y[1] (numeric) = 0.4330452647475645 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 7.69127235652148800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 0.5985362781271222 " "
Order of pole = 1.9806378759312793000000000000E-12 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.24300000000000013 " "
y[1] (analytic) = 0.43368873677445735 " "
y[1] (numeric) = 0.4336887367744577 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 7.67986067299600200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.24400000000000013 " "
y[1] (analytic) = 0.4343321265116834 " "
y[1] (numeric) = 0.4343321265116837 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 6.39040354637047400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.6255418727583926 " "
Order of pole = 4.90807394726289200000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.24500000000000013 " "
y[1] (analytic) = 0.434975434053584 " "
y[1] (numeric) = 0.43497543405358435 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 7.65714293985891900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.24600000000000014 " "
y[1] (analytic) = 0.43561865949433903 " "
y[1] (numeric) = 0.43561865949433937 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 7.64583656205560800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.24700000000000014 " "
y[1] (analytic) = 0.4362618029279663 " "
y[1] (numeric) = 0.4362618029279666 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 7.63456495966807200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.24800000000000014 " "
y[1] (analytic) = 0.4369048644483223 " "
y[1] (numeric) = 0.43690486444832266 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 7.62332797113872700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.24900000000000014 " "
y[1] (analytic) = 0.43754784414910264 " "
y[1] (numeric) = 0.43754784414910297 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 7.61212543591114600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 9.99526714036677 " "
Order of pole = 9.73553682115380100000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2500000000000001 " "
y[1] (analytic) = 0.43819074212384207 " "
y[1] (numeric) = 0.4381907421238424 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 7.60095719442231300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 0.5696064930702649 " "
Order of pole = 2.211208993685431800000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2510000000000001 " "
y[1] (analytic) = 0.4388335584659151 " "
y[1] (numeric) = 0.43883355846591543 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 7.58982308809495500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2520000000000001 " "
y[1] (analytic) = 0.4394762932685363 " "
y[1] (numeric) = 0.43947629326853666 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 7.5787229593299300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2530000000000001 " "
y[1] (analytic) = 0.44011894662476075 " "
y[1] (numeric) = 0.4401189466247611 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 7.56765665149869400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 6.079691648616055 " "
Order of pole = 1.08292042000357470000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2540000000000001 " "
y[1] (analytic) = 0.4407615186274842 " "
y[1] (numeric) = 0.4407615186274845 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 7.55662400893584300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2550000000000001 " "
y[1] (analytic) = 0.4414040093694437 " "
y[1] (numeric) = 0.44140400936944396 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 6.28802073077642100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2560000000000001 " "
y[1] (analytic) = 0.44204641894321767 " "
y[1] (numeric) = 0.4420464189432179 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 5.02310606781668500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2570000000000001 " "
y[1] (analytic) = 0.44268874744122644 " "
y[1] (numeric) = 0.4426887474412267 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 6.26977210874642400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2580000000000001 " "
y[1] (analytic) = 0.4433309949557327 " "
y[1] (numeric) = 0.44333099495573297 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 6.26068917613133700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2590000000000001 " "
y[1] (analytic) = 0.4439731615788417 " "
y[1] (numeric) = 0.4439731615788419 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 5.0013069289009300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2600000000000001 " "
y[1] (analytic) = 0.4446152474025015 " "
y[1] (numeric) = 0.44461524740250175 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.994084350958361600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2610000000000001 " "
y[1] (analytic) = 0.4452572525185037 " "
y[1] (numeric) = 0.4452572525185039 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.986883507659512500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.8711598624804944 " "
Order of pole = 4.199307568342192000000000000E-12 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2620000000000001 " "
y[1] (analytic) = 0.4458991770184833 " "
y[1] (numeric) = 0.4458991770184836 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 6.22463037523803200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2630000000000001 " "
y[1] (analytic) = 0.4465410209939197 " "
y[1] (numeric) = 0.44654102099391996 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 6.21568328792056300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2640000000000001 " "
y[1] (analytic) = 0.4471827845361363 " "
y[1] (numeric) = 0.4471827845361366 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 6.20676300059713500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 4.834522771808880 " "
Order of pole = 1.532569626760960000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2650000000000001 " "
y[1] (analytic) = 0.4478244677363014 " "
y[1] (numeric) = 0.4478244677363017 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 6.19786939198074600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2660000000000001 " "
y[1] (analytic) = 0.4484660706854285 " "
y[1] (numeric) = 0.4484660706854287 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.95120187321332500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2670000000000001 " "
y[1] (analytic) = 0.44910759347437623 " "
y[1] (numeric) = 0.44910759347437645 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.94412938350150700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2680000000000001 " "
y[1] (analytic) = 0.44974903619384937 " "
y[1] (numeric) = 0.44974903619384954 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 3.702808461872829600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 11.80929942657697 " "
Order of pole = 4.4900794193836190000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.26900000000000013 " "
y[1] (analytic) = 0.4503903989343985 " "
y[1] (numeric) = 0.4503903989343987 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.93004747548744240000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.27000000000000013 " "
y[1] (analytic) = 0.45103168178642083 " "
y[1] (numeric) = 0.45103168178642106 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.923037868328219400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.27100000000000013 " "
y[1] (analytic) = 0.45167288484016055 " "
y[1] (numeric) = 0.4516728848401607 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 3.68703677557945200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 8.500937763552363 " "
Order of pole = 4.5475800902750050000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.27200000000000013 " "
y[1] (analytic) = 0.4523140081857087 " "
y[1] (numeric) = 0.4523140081857089 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 3.681810659850248700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.27300000000000013 " "
y[1] (analytic) = 0.4529550519130041 " "
y[1] (numeric) = 0.4529550519130043 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 3.67659998471014700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.27400000000000013 " "
y[1] (analytic) = 0.4535960161118333 " "
y[1] (numeric) = 0.45359601611183353 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.895206241632567600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 8.922148500490152 " "
Order of pole = 7.6852479935496380000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.27500000000000013 " "
y[1] (analytic) = 0.4542369008718312 " "
y[1] (numeric) = 0.4542369008718314 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 3.6662246808689597000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.27600000000000013 " "
y[1] (analytic) = 0.45487770628248103 " "
y[1] (numeric) = 0.4548777062824812 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 3.661059915527174500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.27700000000000014 " "
y[1] (analytic) = 0.45551843243311496 " "
y[1] (numeric) = 0.4555184324331152 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.87454708998268100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.27800000000000014 " "
y[1] (analytic) = 0.4561590794129146 " "
y[1] (numeric) = 0.45615907941291484 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.867701092583905400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.27900000000000014 " "
y[1] (analytic) = 0.45679964731091094 " "
y[1] (numeric) = 0.45679964731091116 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.86087513929058250000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.28000000000000014 " "
y[1] (analytic) = 0.4574401362159849 " "
y[1] (numeric) = 0.45744013621598506 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 3.64055185606063800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.28100000000000014 " "
y[1] (analytic) = 0.45808054621686756 " "
y[1] (numeric) = 0.4580805462168678 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.847283010789754700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 2.020070937688286 " "
Order of pole = 2.175681856897426800000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.28200000000000014 " "
y[1] (analytic) = 0.4587208774021408 " "
y[1] (numeric) = 0.458720877402141 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.84051665977204670000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 2.6823921251906686 " "
Order of pole = 8.78568329198969900000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.28300000000000014 " "
y[1] (analytic) = 0.45936112986023725 " "
y[1] (numeric) = 0.45936112986023747 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.83377000123169800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.28400000000000014 " "
y[1] (analytic) = 0.46000130367944086 " "
y[1] (numeric) = 0.46000130367944103 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 3.620282211413577400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.28500000000000014 " "
y[1] (analytic) = 0.460641398947887 " "
y[1] (numeric) = 0.46064139894788725 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.82033541562232700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.28600000000000014 " "
y[1] (analytic) = 0.46128141575356324 " "
y[1] (numeric) = 0.46128141575356346 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.813647316840037000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.4271384755683283 " "
Order of pole = 2.202860116540250600000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.28700000000000014 " "
y[1] (analytic) = 0.4619213541843092 " "
y[1] (numeric) = 0.4619213541843094 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.806978567101149500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.28800000000000014 " "
y[1] (analytic) = 0.46256121432781705 " "
y[1] (numeric) = 0.46256121432781727 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.800329081799502600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 0.9456892213211389 " "
Order of pole = 1.248956493782316100000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.28900000000000015 " "
y[1] (analytic) = 0.46320099627163197 " "
y[1] (numeric) = 0.4632009962716322 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.79369877682255900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.29000000000000015 " "
y[1] (analytic) = 0.4638407001031523 " "
y[1] (numeric) = 0.4638407001031526 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 5.98385946068476300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.29100000000000015 " "
y[1] (analytic) = 0.4644803259096301 " "
y[1] (numeric) = 0.46448032590963034 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.78049537383920530000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 8.321604946331203 " "
Order of pole = 8.8005869258722670000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.29200000000000015 " "
y[1] (analytic) = 0.4651198737781711 " "
y[1] (numeric) = 0.4651198737781713 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.773922110043629700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.29300000000000015 " "
y[1] (analytic) = 0.46575934379573536 " "
y[1] (numeric) = 0.4657593437957356 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.767367694987387000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.29400000000000015 " "
y[1] (analytic) = 0.4663987360491375 " "
y[1] (numeric) = 0.46639873604913773 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.76083204697273830000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.29500000000000015 " "
y[1] (analytic) = 0.467038050625047 " "
y[1] (numeric) = 0.46703805062504716 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 3.56573631358083600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.29600000000000015 " "
y[1] (analytic) = 0.4676772876099884 " "
y[1] (numeric) = 0.46767728760998856 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 3.56086254572728470000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.29700000000000015 " "
y[1] (analytic) = 0.4683164470903419 " "
y[1] (numeric) = 0.4683164470903421 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 3.55600267145108100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.29800000000000015 " "
y[1] (analytic) = 0.46895552915234356 " "
y[1] (numeric) = 0.46895552915234373 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 3.551156630881174300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.29900000000000015 " "
y[1] (analytic) = 0.46959453388208544 " "
y[1] (numeric) = 0.4695945338820856 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 3.546324364490789000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.30000000000000016 " "
y[1] (analytic) = 0.4702334613655162 " "
y[1] (numeric) = 0.47023346136551636 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 3.54150581309494950000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.30100000000000016 " "
y[1] (analytic) = 0.4708723116884412 " "
y[1] (numeric) = 0.47087231168844135 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 3.53670091784803240000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.30200000000000016 " "
y[1] (analytic) = 0.47151108493652294 " "
y[1] (numeric) = 0.4715110849365231 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 3.53190962024133500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.30300000000000016 " "
y[1] (analytic) = 0.4721497811952815 " "
y[1] (numeric) = 0.4721497811952816 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 2.351421241400443500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.30400000000000016 " "
y[1] (analytic) = 0.4727884005500944 " "
y[1] (numeric) = 0.4727884005500945 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 2.348245057055968500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.30500000000000016 " "
y[1] (analytic) = 0.4734269430861975 " "
y[1] (numeric) = 0.4734269430861976 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 2.345077822119255300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.30600000000000016 " "
y[1] (analytic) = 0.4740654088886848 " "
y[1] (numeric) = 0.4740654088886849 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 2.341919498467030500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.30700000000000016 " "
y[1] (analytic) = 0.4747037980425093 " "
y[1] (numeric) = 0.47470379804250934 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.169385024096370300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.30800000000000016 " "
y[1] (analytic) = 0.47534211063248266 " "
y[1] (numeric) = 0.47534211063248266 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.30900000000000016 " "
y[1] (analytic) = 0.47598034674327594 " "
y[1] (numeric) = 0.475980346743276 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.166248808613063200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.31000000000000016 " "
y[1] (analytic) = 0.47661850645942 " "
y[1] (numeric) = 0.47661850645942005 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.164687280895252600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.31100000000000017 " "
y[1] (analytic) = 0.4772565898653055 " "
y[1] (numeric) = 0.47725658986530556 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.163130115121606800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.31200000000000017 " "
y[1] (analytic) = 0.47789459704518333 " "
y[1] (numeric) = 0.4778945970451834 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.161577292869235700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 8.345319979724936 " "
Order of pole = 2.127098497339830000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.31300000000000017 " "
y[1] (analytic) = 0.47853252808316493 " "
y[1] (numeric) = 0.478532528083165 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.160028795819089300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.31400000000000017 " "
y[1] (analytic) = 0.4791703830632226 " "
y[1] (numeric) = 0.4791703830632227 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.158484605755226300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 2.1393523734379887 " "
Order of pole = 1.636202284771570700000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.31500000000000017 " "
y[1] (analytic) = 0.47980816206918997 " "
y[1] (numeric) = 0.47980816206918997 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 2.024846104142465 " "
Order of pole = 1.635491742035810600000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.31600000000000017 " "
y[1] (analytic) = 0.48044586518476184 " "
y[1] (numeric) = 0.48044586518476184 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.31700000000000017 " "
y[1] (analytic) = 0.48108349249349497 " "
y[1] (numeric) = 0.48108349249349497 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.31800000000000017 " "
y[1] (analytic) = 0.48172104407880817 " "
y[1] (numeric) = 0.4817210440788082 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.152350554612191000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3190000000000002 " "
y[1] (analytic) = 0.4823585200239827 " "
y[1] (numeric) = 0.4823585200239828 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.150827629799051300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3200000000000002 " "
y[1] (analytic) = 0.48299592041216244 " "
y[1] (numeric) = 0.4829959204121625 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.149308904801672700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3210000000000002 " "
y[1] (analytic) = 0.48363324532635416 " "
y[1] (numeric) = 0.4836332453263542 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.147794362105919500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3220000000000002 " "
y[1] (analytic) = 0.4842704948494281 " "
y[1] (numeric) = 0.48427049484942813 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.146283984295133300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3230000000000002 " "
y[1] (analytic) = 0.4849076690641179 " "
y[1] (numeric) = 0.484907669064118 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.14477775404945700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3240000000000002 " "
y[1] (analytic) = 0.4855447680530214 " "
y[1] (numeric) = 0.4855447680530214 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3250000000000002 " "
y[1] (analytic) = 0.48618179189860017 " "
y[1] (numeric) = 0.48618179189860017 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.6701438002235958 " "
Order of pole = 4.54036808150704000000000000E-12 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3260000000000002 " "
y[1] (analytic) = 0.4868187406831806 " "
y[1] (numeric) = 0.48681874068318065 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.140283776942437600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3270000000000002 " "
y[1] (analytic) = 0.48745561448895386 " "
y[1] (numeric) = 0.48745561448895386 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3280000000000002 " "
y[1] (analytic) = 0.48809241339797604 " "
y[1] (numeric) = 0.488092413397976 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.137308216794504600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3290000000000002 " "
y[1] (analytic) = 0.4887291374921686 " "
y[1] (numeric) = 0.48872913749216856 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.135826513559309400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3300000000000002 " "
y[1] (analytic) = 0.48936578685331883 " "
y[1] (numeric) = 0.4893657868533188 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.134348839304873300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3310000000000002 " "
y[1] (analytic) = 0.49000236156307986 " "
y[1] (numeric) = 0.4900023615630798 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.132875177462010400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 0.21113614661595148 " "
Order of pole = 2.0055068716828828000000000000E-12 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3320000000000002 " "
y[1] (analytic) = 0.4906388617029711 " "
y[1] (numeric) = 0.490638861702971 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 2.262811023104967200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3330000000000002 " "
y[1] (analytic) = 0.4912752873543784 " "
y[1] (numeric) = 0.49127528735437836 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.129939825188381500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3340000000000002 " "
y[1] (analytic) = 0.4919116385985547 " "
y[1] (numeric) = 0.49191163859855463 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 1.128478102071499300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 7.9865043747301545 " "
Order of pole = 1.94457783209145420000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3350000000000002 " "
y[1] (analytic) = 0.49254791551661986 " "
y[1] (numeric) = 0.49254791551661975 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 2.254040651985450600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 2.8494196038211435 " "
Order of pole = 1.22973631278000540000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3360000000000002 " "
y[1] (analytic) = 0.49318411818956115 " "
y[1] (numeric) = 0.49318411818956104 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 2.251132961662867800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 2.8297706663386673 " "
Order of pole = 5.60902435609023100000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3370000000000002 " "
y[1] (analytic) = 0.4938202466982336 " "
y[1] (numeric) = 0.4938202466982335 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 2.248233101109760300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3380000000000002 " "
y[1] (analytic) = 0.49445630112336025 " "
y[1] (numeric) = 0.49445630112336014 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 2.245341038435205700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 3.9052744828042267 " "
Order of pole = 7.71276376099194700000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3390000000000002 " "
y[1] (analytic) = 0.4950922815455325 " "
y[1] (numeric) = 0.4950922815455323 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 3.36368511288249200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3400000000000002 " "
y[1] (analytic) = 0.49572818804521 " "
y[1] (numeric) = 0.49572818804520985 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 3.359370270035678000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3410000000000002 " "
y[1] (analytic) = 0.4963640207027217 " "
y[1] (numeric) = 0.4963640207027215 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 3.35506698205090800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.776499144445469 " "
Order of pole = 1.199751409330929200000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3420000000000002 " "
y[1] (analytic) = 0.4969997795982652 " "
y[1] (numeric) = 0.4969997795982651 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 2.23385013474768900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3430000000000002 " "
y[1] (analytic) = 0.497635464811908 " "
y[1] (numeric) = 0.49763546481190785 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 3.34649488369399800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3440000000000002 " "
y[1] (analytic) = 0.498271076423587 " "
y[1] (numeric) = 0.4982710764235868 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 3.342225980466125300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.040429570716241 " "
Order of pole = 1.075939337624731700000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3450000000000002 " "
y[1] (analytic) = 0.4989066145131091 " "
y[1] (numeric) = 0.4989066145131089 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 3.33796844638542500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3460000000000002 " "
y[1] (analytic) = 0.49954207916015153 " "
y[1] (numeric) = 0.49954207916015136 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 3.33372223564740800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3470000000000002 " "
y[1] (analytic) = 0.5001774704442622 " "
y[1] (numeric) = 0.500177470444262 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.439316403591894000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3480000000000002 " "
y[1] (analytic) = 0.5008127884448595 " "
y[1] (numeric) = 0.5008127884448593 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.43368480294865360000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.0891714766259306 " "
Order of pole = 1.197086874071828800000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3490000000000002 " "
y[1] (analytic) = 0.5014480332412334 " "
y[1] (numeric) = 0.5014480332412332 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.42806811883957500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 0.9930789331377305 " "
Order of pole = 1.4956924587750110000000000000E-12 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3500000000000002 " "
y[1] (analytic) = 0.5020832049125448 " "
y[1] (numeric) = 0.5020832049125447 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 2.21123314574631220000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3510000000000002 " "
y[1] (analytic) = 0.5027183035378266 " "
y[1] (numeric) = 0.5027183035378264 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.41687926145549140000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3520000000000002 " "
y[1] (analytic) = 0.5033533291959833 " "
y[1] (numeric) = 0.5033533291959832 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 2.205653484796730700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3530000000000002 " "
y[1] (analytic) = 0.5039882819657922 " "
y[1] (numeric) = 0.5039882819657919 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.40574935708728300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3540000000000002 " "
y[1] (analytic) = 0.5046231619259023 " "
y[1] (numeric) = 0.5046231619259021 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.400206365431078600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3550000000000002 " "
y[1] (analytic) = 0.505257969154836 " "
y[1] (numeric) = 0.5052579691548358 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.39467793643024900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3560000000000002 " "
y[1] (analytic) = 0.5058927037309886 " "
y[1] (numeric) = 0.5058927037309884 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.38916401219940900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3570000000000002 " "
y[1] (analytic) = 0.5065273657326286 " "
y[1] (numeric) = 0.5065273657326284 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.38366453516033700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3580000000000002 " "
y[1] (analytic) = 0.5071619552378981 " "
y[1] (numeric) = 0.5071619552378979 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.37817944803993160000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3590000000000002 " "
y[1] (analytic) = 0.5077964723248132 " "
y[1] (numeric) = 0.507796472324813 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.372708693868199000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 0.35228787512879023 " "
Order of pole = 1.043787278831587200000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3600000000000002 " "
y[1] (analytic) = 0.508430917071264 " "
y[1] (numeric) = 0.5084309170712636 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 6.5508783239643700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3610000000000002 " "
y[1] (analytic) = 0.509065289555015 " "
y[1] (numeric) = 0.5090652895550146 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 6.54271493699144200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 13.384050562711579 " "
Order of pole = 5.4403948013259650000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3620000000000002 " "
y[1] (analytic) = 0.5096995898537053 " "
y[1] (numeric) = 0.509699589853705 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 6.53457279577455100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3630000000000002 " "
y[1] (analytic) = 0.5103338180448493 " "
y[1] (numeric) = 0.510333818044849 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 6.52645181664751600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3640000000000002 " "
y[1] (analytic) = 0.5109679742058364 " "
y[1] (numeric) = 0.5109679742058361 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 6.51835191638401100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.805556205796812 " "
Order of pole = 3.513456192649755400000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3650000000000002 " "
y[1] (analytic) = 0.5116020584139311 " "
y[1] (numeric) = 0.5116020584139309 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 4.340182008129796500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3660000000000002 " "
y[1] (analytic) = 0.5122360707462745 " "
y[1] (numeric) = 0.5122360707462742 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 6.50221502172432400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3670000000000002 " "
y[1] (analytic) = 0.5128700112798829 " "
y[1] (numeric) = 0.5128700112798825 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 6.49417786304892900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3680000000000002 " "
y[1] (analytic) = 0.5135038800916492 " "
y[1] (numeric) = 0.5135038800916488 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 6.48616145467297800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3690000000000002 " "
y[1] (analytic) = 0.5141376772583429 " "
y[1] (numeric) = 0.5141376772583426 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 6.47816571552658500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3700000000000002 " "
y[1] (analytic) = 0.5147714028566103 " "
y[1] (numeric) = 0.5147714028566099 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 6.47019056496273300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3710000000000002 " "
y[1] (analytic) = 0.5154050569629747 " "
y[1] (numeric) = 0.5154050569629742 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 8.6163145636726800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3720000000000002 " "
y[1] (analytic) = 0.5160386396538366 " "
y[1] (numeric) = 0.5160386396538361 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 8.60573561212318800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3730000000000002 " "
y[1] (analytic) = 0.5166721510054744 " "
y[1] (numeric) = 0.5166721510054739 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 8.59518379277533900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.9000117458259114 " "
Order of pole = 1.6751044995544362000000000000E-12 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3740000000000002 " "
y[1] (analytic) = 0.5173055910940441 " "
y[1] (numeric) = 0.5173055910940436 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 8.58465900031861400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3750000000000002 " "
y[1] (analytic) = 0.5179389599955799 " "
y[1] (numeric) = 0.5179389599955795 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 8.57416112998822100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3760000000000002 " "
y[1] (analytic) = 0.5185722577859947 " "
y[1] (numeric) = 0.5185722577859941 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 1.07046125969519690000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.6804896128870348 " "
Order of pole = 1.030109331168205200000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3770000000000002 " "
y[1] (analytic) = 0.5192054845410794 " "
y[1] (numeric) = 0.5192054845410788 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 1.06915571741934860000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3780000000000002 " "
y[1] (analytic) = 0.5198386403365043 " "
y[1] (numeric) = 0.5198386403365037 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 1.06785350152739890000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3790000000000002 " "
y[1] (analytic) = 0.5204717252478186 " "
y[1] (numeric) = 0.520471725247818 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 1.06655459919223510000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3800000000000002 " "
y[1] (analytic) = 0.5211047393504509 " "
y[1] (numeric) = 0.5211047393504504 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 8.52207198122229800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3810000000000002 " "
y[1] (analytic) = 0.5217376827197098 " "
y[1] (numeric) = 0.5217376827197093 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 8.51173347370882100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.38200000000000023 " "
y[1] (analytic) = 0.5223705554307834 " "
y[1] (numeric) = 0.5223705554307829 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 8.50142116995540800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.38300000000000023 " "
y[1] (analytic) = 0.5230033575587403 " "
y[1] (numeric) = 0.5230033575587398 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 8.49113496943823100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.38400000000000023 " "
y[1] (analytic) = 0.5236360891785293 " "
y[1] (numeric) = 0.5236360891785288 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 1.06010934651854680000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.38500000000000023 " "
y[1] (analytic) = 0.52426875036498 " "
y[1] (numeric) = 0.5242687503649794 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 1.05883005982356660000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.38600000000000023 " "
y[1] (analytic) = 0.524901341192803 " "
y[1] (numeric) = 0.5249013411928024 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 1.05755399872121640000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.38700000000000023 " "
y[1] (analytic) = 0.5255338617365898 " "
y[1] (numeric) = 0.5255338617365892 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 1.05628115090101190000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.38800000000000023 " "
y[1] (analytic) = 0.5261663120708138 " "
y[1] (numeric) = 0.5261663120708132 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 1.05501150411520250000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.38900000000000023 " "
y[1] (analytic) = 0.5267986922698296 " "
y[1] (numeric) = 0.5267986922698291 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 8.42996036942698800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.39000000000000024 " "
y[1] (analytic) = 0.5274310024078742 " "
y[1] (numeric) = 0.5274310024078738 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 8.41985411973637600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.39100000000000024 " "
y[1] (analytic) = 0.5280632425590666 " "
y[1] (numeric) = 0.5280632425590661 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 8.40977318735433500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.39200000000000024 " "
y[1] (analytic) = 0.5286954127974082 " "
y[1] (numeric) = 0.5286954127974076 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 1.04996468453433050000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.39300000000000024 " "
y[1] (analytic) = 0.529327513196783 " "
y[1] (numeric) = 0.5293275131967824 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 1.04871086137215370000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.39400000000000024 " "
y[1] (analytic) = 0.5299595438309581 " "
y[1] (numeric) = 0.5299595438309576 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 1.04746016705313430000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.39500000000000024 " "
y[1] (analytic) = 0.5305915047735839 " "
y[1] (numeric) = 0.5305915047735833 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 1.04621258975764740000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.39600000000000024 " "
y[1] (analytic) = 0.531223396098194 " "
y[1] (numeric) = 0.5312233960981934 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.25396174127082760000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.9451053007498962 " "
Order of pole = 1.596944798620825200000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.39700000000000024 " "
y[1] (analytic) = 0.5318552178782058 " "
y[1] (numeric) = 0.5318552178782051 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.2524720871078070000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.39800000000000024 " "
y[1] (analytic) = 0.5324869701869205 " "
y[1] (numeric) = 0.5324869701869198 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.25098613124985770000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.39900000000000024 " "
y[1] (analytic) = 0.5331186530975237 " "
y[1] (numeric) = 0.533118653097523 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.24950385979692530000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.40000000000000024 " "
y[1] (analytic) = 0.5337502666830851 " "
y[1] (numeric) = 0.5337502666830846 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 1.04002104909893460000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.40100000000000025 " "
y[1] (analytic) = 0.5343818110165595 " "
y[1] (numeric) = 0.5343818110165589 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 1.03879192904523550000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 8.534257407811882 " "
Order of pole = 4.2063064142894290000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.40200000000000025 " "
y[1] (analytic) = 0.5350132861707861 " "
y[1] (numeric) = 0.5350132861707855 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.2450790139115380000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.40300000000000025 " "
y[1] (analytic) = 0.5356446922184896 " "
y[1] (numeric) = 0.535644692218489 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.24361134246687860000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.40400000000000025 " "
y[1] (analytic) = 0.5362760292322799 " "
y[1] (numeric) = 0.5362760292322792 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.24214728696472860000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.40500000000000025 " "
y[1] (analytic) = 0.5369072972846525 " "
y[1] (numeric) = 0.5369072972846519 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 1.03390569493093410000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.40600000000000025 " "
y[1] (analytic) = 0.537538496447989 " "
y[1] (numeric) = 0.5375384964479885 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 1.03269164158606370000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.40700000000000025 " "
y[1] (analytic) = 0.538169626794557 " "
y[1] (numeric) = 0.5381696267945564 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.23777668156918570000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.40800000000000025 " "
y[1] (analytic) = 0.5388006883965102 " "
y[1] (numeric) = 0.5388006883965095 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.23632695562719430000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.40900000000000025 " "
y[1] (analytic) = 0.5394316813258891 " "
y[1] (numeric) = 0.5394316813258885 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.23488077885558920000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.41000000000000025 " "
y[1] (analytic) = 0.5400626056546212 " "
y[1] (numeric) = 0.5400626056546205 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.23343813809819180000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.41100000000000025 " "
y[1] (analytic) = 0.5406934614545205 " "
y[1] (numeric) = 0.5406934614545199 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 1.02666585021995980000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.41200000000000025 " "
y[1] (analytic) = 0.5413242487972889 " "
y[1] (numeric) = 0.5413242487972882 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.23056341232654210000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.41300000000000026 " "
y[1] (analytic) = 0.5419549677545155 " "
y[1] (numeric) = 0.5419549677545148 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.2291313013239628000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.41400000000000026 " "
y[1] (analytic) = 0.5425856183976772 " "
y[1] (numeric) = 0.5425856183976765 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.2277026743581410000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.41500000000000026 " "
y[1] (analytic) = 0.5432162007981388 " "
y[1] (numeric) = 0.5432162007981381 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.2262775185945379000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.41600000000000026 " "
y[1] (analytic) = 0.5438467150271538 " "
y[1] (numeric) = 0.543846715027153 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 1.4289984581387180000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.41700000000000026 " "
y[1] (analytic) = 0.5444771611558634 " "
y[1] (numeric) = 0.5444771611558626 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 1.42734383125968950000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.41800000000000026 " "
y[1] (analytic) = 0.5451075392552981 " "
y[1] (numeric) = 0.5451075392552974 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.22202275111647980000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.41900000000000026 " "
y[1] (analytic) = 0.5457378493963772 " "
y[1] (numeric) = 0.5457378493963765 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.22061135307342670000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.9157352445322877 " "
Order of pole = 3.59730023546944700000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.42000000000000026 " "
y[1] (analytic) = 0.5463680916499091 " "
y[1] (numeric) = 0.5463680916499083 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 1.42240392349921560000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.42100000000000026 " "
y[1] (analytic) = 0.5469982660865914 " "
y[1] (numeric) = 0.5469982660865906 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 1.42076522983819370000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.42200000000000026 " "
y[1] (analytic) = 0.5476283727770117 " "
y[1] (numeric) = 0.5476283727770109 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 1.41913048313524660000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.42300000000000026 " "
y[1] (analytic) = 0.5482584117916471 " "
y[1] (numeric) = 0.5482584117916464 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 1.4174996689935870000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.42400000000000027 " "
y[1] (analytic) = 0.5488883832008652 " "
y[1] (numeric) = 0.5488883832008644 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 1.4158727730865640000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.42500000000000027 " "
y[1] (analytic) = 0.5495182870749233 " "
y[1] (numeric) = 0.5495182870749226 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 1.41424978115723600000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 8.735705210693212 " "
Order of pole = 6.6938454779119640000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.42600000000000027 " "
y[1] (analytic) = 0.5501481234839699 " "
y[1] (numeric) = 0.5501481234839691 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 1.41263067901794660000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.42700000000000027 " "
y[1] (analytic) = 0.5507778924980438 " "
y[1] (numeric) = 0.550777892498043 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 1.4110154525499040000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 9.004895399363685 " "
Order of pole = 2.20902407477296950000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.42800000000000027 " "
y[1] (analytic) = 0.551407594187075 " "
y[1] (numeric) = 0.5514075941870741 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 1.61074752880315720000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 3.475218441029936 " "
Order of pole = 6.521361228806200000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.42900000000000027 " "
y[1] (analytic) = 0.5520372286208846 " "
y[1] (numeric) = 0.5520372286208837 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 1.60891036627909740000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.43000000000000027 " "
y[1] (analytic) = 0.5526667958691851 " "
y[1] (numeric) = 0.5526667958691842 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 1.60707758515377660000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.43100000000000027 " "
y[1] (analytic) = 0.5532962960015808 " "
y[1] (numeric) = 0.55329629600158 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 1.40459302340131540000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 2.123211267608669 " "
Order of pole = 4.776268269779393400000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4320000000000003 " "
y[1] (analytic) = 0.5539257290875681 " "
y[1] (numeric) = 0.5539257290875672 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 1.6034251038729352000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.2202166084067159 " "
Order of pole = 2.442490654175344400000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4330000000000003 " "
y[1] (analytic) = 0.554555095196535 " "
y[1] (numeric) = 0.5545550951965341 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 1.60160537229462050000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4340000000000003 " "
y[1] (analytic) = 0.5551843943977621 " "
y[1] (numeric) = 0.5551843943977613 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 1.3998162143599730000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4350000000000003 " "
y[1] (analytic) = 0.5558136267604228 " "
y[1] (numeric) = 0.555813626760422 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 1.39823149311269770000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 2.4864523347211924 " "
Order of pole = 5.2500226388474400000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4360000000000003 " "
y[1] (analytic) = 0.5564427923535828 " "
y[1] (numeric) = 0.5564427923535821 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 1.39665052349851960000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4370000000000003 " "
y[1] (analytic) = 0.5570718912462012 " "
y[1] (numeric) = 0.5570718912462005 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.1957771074841259000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4380000000000003 " "
y[1] (analytic) = 0.5577009235071302 " "
y[1] (numeric) = 0.5577009235071294 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 1.39349978542338520000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 0.9037644187691222 " "
Order of pole = 6.851408329566766000000000000E-12 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4390000000000003 " "
y[1] (analytic) = 0.5583298892051152 " "
y[1] (numeric) = 0.5583298892051145 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.1930828487857911000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4400000000000003 " "
y[1] (analytic) = 0.5589587884087956 " "
y[1] (numeric) = 0.558958788408795 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.19174047995809580000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4410000000000003 " "
y[1] (analytic) = 0.5595876211867048 " "
y[1] (numeric) = 0.5595876211867041 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.190401269710789900000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4420000000000003 " "
y[1] (analytic) = 0.5602163876072698 " "
y[1] (numeric) = 0.5602163876072691 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.18906520678591050000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.8396607070539688 " "
Order of pole = 2.23305818281005490000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4430000000000003 " "
y[1] (analytic) = 0.5608450877388123 " "
y[1] (numeric) = 0.5608450877388116 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.18773227997909290000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 0.156686008960746 " "
Order of pole = 1.314681696840125400000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4440000000000003 " "
y[1] (analytic) = 0.5614737216495483 " "
y[1] (numeric) = 0.5614737216495477 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.1864024781392540000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4450000000000003 " "
y[1] (analytic) = 0.5621022894075889 " "
y[1] (numeric) = 0.5621022894075882 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.18507579016827360000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 0.5843315557213636 " "
Order of pole = 1.114308645355777100000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4460000000000003 " "
y[1] (analytic) = 0.5627307910809398 " "
y[1] (numeric) = 0.5627307910809392 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.18375220502067960000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4470000000000003 " "
y[1] (analytic) = 0.5633592267375022 " "
y[1] (numeric) = 0.5633592267375015 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.18243171170333850000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4480000000000003 " "
y[1] (analytic) = 0.5639875964450723 " "
y[1] (numeric) = 0.5639875964450717 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.18111429927514330000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 4.356126095899906 " "
Order of pole = 1.39461775461313660000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4490000000000003 " "
y[1] (analytic) = 0.5646159002713425 " "
y[1] (numeric) = 0.5646159002713418 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.1797999568467060000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 2.483057685699235 " "
Order of pole = 2.337507964966789600000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4500000000000003 " "
y[1] (analytic) = 0.5652441382839004 " "
y[1] (numeric) = 0.5652441382838997 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.1784886735800530000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4510000000000003 " "
y[1] (analytic) = 0.5658723105502301 " "
y[1] (numeric) = 0.5658723105502295 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.17718043868832150000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4520000000000003 " "
y[1] (analytic) = 0.5665004171377117 " "
y[1] (numeric) = 0.5665004171377112 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.79896034529547700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4530000000000003 " "
y[1] (analytic) = 0.567128458113622 " "
y[1] (numeric) = 0.5671284581136214 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.78810892613263600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4540000000000003 " "
y[1] (analytic) = 0.5677564335451342 " "
y[1] (numeric) = 0.5677564335451337 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.82182611436246200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4550000000000003 " "
y[1] (analytic) = 0.5683843434993188 " "
y[1] (numeric) = 0.5683843434993182 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.76648140754502700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4560000000000003 " "
y[1] (analytic) = 0.5690121880431429 " "
y[1] (numeric) = 0.5690121880431424 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.75570513211026800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.4299993393114057 " "
Order of pole = 1.059063947650429300000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4570000000000003 " "
y[1] (analytic) = 0.5696399672434713 " "
y[1] (numeric) = 0.5696399672434708 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.74495372926170800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4580000000000003 " "
y[1] (analytic) = 0.5702676811670662 " "
y[1] (numeric) = 0.5702676811670656 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.73422711202096400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.273993180799416 " "
Order of pole = 2.961186851280217500000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4590000000000003 " "
y[1] (analytic) = 0.5708953298805874 " "
y[1] (numeric) = 0.5708953298805869 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.7235251938159910000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4600000000000003 " "
y[1] (analytic) = 0.571522913450593 " "
y[1] (numeric) = 0.5715229134505925 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.71284788847869200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4610000000000003 " "
y[1] (analytic) = 0.5721504319435389 " "
y[1] (numeric) = 0.5721504319435383 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.7021951102425800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4620000000000003 " "
y[1] (analytic) = 0.5727778854257793 " "
y[1] (numeric) = 0.5727778854257789 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.7532534189923400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4630000000000003 " "
y[1] (analytic) = 0.5734052739635676 " "
y[1] (numeric) = 0.5734052739635671 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.74477023520154600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.1958251371056767 " "
Order of pole = 6.3931082650015010000000000000E-12 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4640000000000003 " "
y[1] (analytic) = 0.5740325976230551 " "
y[1] (numeric) = 0.5740325976230547 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.73630646916115800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.3865825131789267 " "
Order of pole = 1.171684971268405200000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4650000000000003 " "
y[1] (analytic) = 0.5746598564702927 " "
y[1] (numeric) = 0.5746598564702923 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.72786205352452700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4660000000000003 " "
y[1] (analytic) = 0.5752870505712302 " "
y[1] (numeric) = 0.5752870505712299 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.78957769094278700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4670000000000003 " "
y[1] (analytic) = 0.575914179991717 " "
y[1] (numeric) = 0.5759141799917167 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.78327325422578100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4680000000000003 " "
y[1] (analytic) = 0.576541244797502 " "
y[1] (numeric) = 0.5765412447975016 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.70264424024060300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4690000000000003 " "
y[1] (analytic) = 0.5771682450542337 " "
y[1] (numeric) = 0.5771682450542333 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.69427655896650500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4700000000000003 " "
y[1] (analytic) = 0.5777951808274608 " "
y[1] (numeric) = 0.5777951808274604 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.68592789600775400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4710000000000003 " "
y[1] (analytic) = 0.5784220521826323 " "
y[1] (numeric) = 0.5784220521826319 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.67759818586316400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4720000000000003 " "
y[1] (analytic) = 0.5790488591850975 " "
y[1] (numeric) = 0.579048859185097 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.58660920416618100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4730000000000003 " "
y[1] (analytic) = 0.5796756019001061 " "
y[1] (numeric) = 0.5796756019001056 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.57624420439622100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.0576088437108997 " "
Order of pole = 6.998845947236987000000000000E-12 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4740000000000003 " "
y[1] (analytic) = 0.580302280392809 " "
y[1] (numeric) = 0.5803022803928085 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.65272212181308100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 0.43886067160390185 " "
Order of pole = 9.276135415348108000000000000E-12 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4750000000000003 " "
y[1] (analytic) = 0.5809288947282578 " "
y[1] (numeric) = 0.5809288947282574 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.64446757391530800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4760000000000003 " "
y[1] (analytic) = 0.5815554449714055 " "
y[1] (numeric) = 0.5815554449714051 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.6362316558122500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4770000000000003 " "
y[1] (analytic) = 0.5821819311871065 " "
y[1] (numeric) = 0.582181931187106 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.6280143037853500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 4.197951795311154 " "
Order of pole = 1.44170897442563730000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4780000000000003 " "
y[1] (analytic) = 0.5828083534401166 " "
y[1] (numeric) = 0.5828083534401162 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.6198154544072200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 0.47635030597425604 " "
Order of pole = 1.47508671943796800000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4790000000000003 " "
y[1] (analytic) = 0.5834347117950938 " "
y[1] (numeric) = 0.5834347117950932 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.5145438056749900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 0.5168925973839319 " "
Order of pole = 5.595524044110789000000000000E-12 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4800000000000003 " "
y[1] (analytic) = 0.5840610063165975 " "
y[1] (numeric) = 0.584061006316597 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.50434126416707100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4810000000000003 " "
y[1] (analytic) = 0.58468723706909 " "
y[1] (numeric) = 0.5846872370690894 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.49416161528053200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 0.486474005231121 " "
Order of pole = 9.194423000735696000000000000E-12 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4820000000000003 " "
y[1] (analytic) = 0.5853134041169356 " "
y[1] (numeric) = 0.585313404116935 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.48400478116637400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4830000000000003 " "
y[1] (analytic) = 0.5859395075244013 " "
y[1] (numeric) = 0.5859395075244007 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.47387068432931700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4840000000000003 " "
y[1] (analytic) = 0.5865655473556568 " "
y[1] (numeric) = 0.5865655473556562 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.46375924762579400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4850000000000003 " "
y[1] (analytic) = 0.5871915236747749 " "
y[1] (numeric) = 0.5871915236747745 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.56293631540955900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4860000000000003 " "
y[1] (analytic) = 0.5878174365457317 " "
y[1] (numeric) = 0.5878174365457313 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.55488323823331900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4870000000000003 " "
y[1] (analytic) = 0.5884432860324065 " "
y[1] (numeric) = 0.588443286032406 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.54684810569163300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 2.476680935644342 " "
Order of pole = 2.43165487745500290000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4880000000000003 " "
y[1] (analytic) = 0.5890690721985821 " "
y[1] (numeric) = 0.5890690721985816 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.53883085717925700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4890000000000003 " "
y[1] (analytic) = 0.5896947951079453 " "
y[1] (numeric) = 0.5896947951079449 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.53083143236444500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4900000000000003 " "
y[1] (analytic) = 0.5903204548240868 " "
y[1] (numeric) = 0.5903204548240863 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.52284977118740500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4910000000000003 " "
y[1] (analytic) = 0.5909460514105014 " "
y[1] (numeric) = 0.5909460514105009 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.51488581385875900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4920000000000003 " "
y[1] (analytic) = 0.5915715849305881 " "
y[1] (numeric) = 0.5915715849305877 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.50693950085803500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 0.8920300279649186 " "
Order of pole = 4.1318060084449826000000000000E-12 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4930000000000003 " "
y[1] (analytic) = 0.592197055447651 " "
y[1] (numeric) = 0.5921970554476504 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.37376346616517500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4940000000000003 " "
y[1] (analytic) = 0.5928224630248982 " "
y[1] (numeric) = 0.5928224630248977 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.4910995710938700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.49500000000000033 " "
y[1] (analytic) = 0.5934478077254433 " "
y[1] (numeric) = 0.5934478077254428 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.48320583662041500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.49600000000000033 " "
y[1] (analytic) = 0.5940730896123045 " "
y[1] (numeric) = 0.5940730896123042 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.606497133288908000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.49700000000000033 " "
y[1] (analytic) = 0.5946983087484061 " "
y[1] (numeric) = 0.5946983087484057 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.46747053618979800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 2.5725259322823555 " "
Order of pole = 3.75006692365786900000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.49800000000000033 " "
y[1] (analytic) = 0.595323465196577 " "
y[1] (numeric) = 0.5953234651965765 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.45962885409570600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.49900000000000033 " "
y[1] (analytic) = 0.5959485590195523 " "
y[1] (numeric) = 0.5959485590195518 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.31475550886206100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.121722680026777 " "
Order of pole = 6.906475391588174000000000000E-12 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5000000000000003 " "
y[1] (analytic) = 0.5965735902799729 " "
y[1] (numeric) = 0.5965735902799724 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.30499642218596300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5010000000000003 " "
y[1] (analytic) = 0.5971985590403857 " "
y[1] (numeric) = 0.5971985590403851 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.29525873613232800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5020000000000003 " "
y[1] (analytic) = 0.5978234653632437 " "
y[1] (numeric) = 0.5978234653632433 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.42843390364795100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5030000000000003 " "
y[1] (analytic) = 0.5984483093109068 " "
y[1] (numeric) = 0.5984483093109063 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.4206778253148800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5040000000000003 " "
y[1] (analytic) = 0.5990730909456412 " "
y[1] (numeric) = 0.5990730909456407 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.26617337187238300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5050000000000003 " "
y[1] (analytic) = 0.5996978103296197 " "
y[1] (numeric) = 0.5996978103296192 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.40521646403831400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5060000000000003 " "
y[1] (analytic) = 0.6003224675249225 " "
y[1] (numeric) = 0.600322467524922 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.39751106902601800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5070000000000003 " "
y[1] (analytic) = 0.6009470625935369 " "
y[1] (numeric) = 0.6009470625935364 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.23727807099773800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5080000000000003 " "
y[1] (analytic) = 0.6015715955973573 " "
y[1] (numeric) = 0.6015715955973567 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.22768821492237500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 2.4714651648647603 " "
Order of pole = 5.039701989062451000000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5090000000000003 " "
y[1] (analytic) = 0.6021960665981858 " "
y[1] (numeric) = 0.6021960665981854 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.37449535927275100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5100000000000003 " "
y[1] (analytic) = 0.6028204756577327 " "
y[1] (numeric) = 0.6028204756577321 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.20857095484191100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 2.067202120538509 " "
Order of pole = 1.94404492503963400000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5110000000000003 " "
y[1] (analytic) = 0.6034448228376152 " "
y[1] (numeric) = 0.6034448228376148 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.35923473105287300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5120000000000003 " "
y[1] (analytic) = 0.6040691081993598 " "
y[1] (numeric) = 0.6040691081993592 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.18953650795491300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5130000000000003 " "
y[1] (analytic) = 0.6046933318044001 " "
y[1] (numeric) = 0.6046933318043997 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.34404013559904700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5140000000000003 " "
y[1] (analytic) = 0.6053174937140792 " "
y[1] (numeric) = 0.6053174937140787 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.33646746478844500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5150000000000003 " "
y[1] (analytic) = 0.6059415939896482 " "
y[1] (numeric) = 0.6059415939896476 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.16113892524865500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5160000000000003 " "
y[1] (analytic) = 0.606565632692267 " "
y[1] (numeric) = 0.6065656326922666 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.32137110833256400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 2.1880919863844883 " "
Order of pole = 8.398615136684384000000000000E-12 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5170000000000003 " "
y[1] (analytic) = 0.6071896098830052 " "
y[1] (numeric) = 0.6071896098830047 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.3138473159254300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5180000000000003 " "
y[1] (analytic) = 0.6078135256228409 " "
y[1] (numeric) = 0.6078135256228404 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.30633970994630200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5190000000000003 " "
y[1] (analytic) = 0.6084373799726617 " "
y[1] (numeric) = 0.6084373799726612 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.29884823759540200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5200000000000004 " "
y[1] (analytic) = 0.6090611729932649 " "
y[1] (numeric) = 0.6090611729932645 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.29137284630313200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5210000000000004 " "
y[1] (analytic) = 0.6096849047453575 " "
y[1] (numeric) = 0.6096849047453571 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.28391348372881200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5220000000000004 " "
y[1] (analytic) = 0.6103085752895565 " "
y[1] (numeric) = 0.6103085752895561 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.27647009775944300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5230000000000004 " "
y[1] (analytic) = 0.6109321846863887 " "
y[1] (numeric) = 0.6109321846863882 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.2690426365084700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5240000000000004 " "
y[1] (analytic) = 0.6115557329962913 " "
y[1] (numeric) = 0.6115557329962908 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.26163104831454200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5250000000000004 " "
y[1] (analytic) = 0.6121792202796121 " "
y[1] (numeric) = 0.6121792202796117 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.25423528174029400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 8.848464078286241 " "
Order of pole = 2.15901962974385240000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5260000000000004 " "
y[1] (analytic) = 0.6128026465966094 " "
y[1] (numeric) = 0.612802646596609 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.24685528557114700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5270000000000004 " "
y[1] (analytic) = 0.6134260120074523 " "
y[1] (numeric) = 0.6134260120074518 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.23949100881407600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5280000000000004 " "
y[1] (analytic) = 0.6140493165722207 " "
y[1] (numeric) = 0.6140493165722203 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.23214240069643600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5290000000000004 " "
y[1] (analytic) = 0.614672560350906 " "
y[1] (numeric) = 0.6146725603509056 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.22480941066475600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.4395623484965243 " "
Order of pole = 1.50990331349021300000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5300000000000004 " "
y[1] (analytic) = 0.6152957434034105 " "
y[1] (numeric) = 0.6152957434034101 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.21749198838356800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5310000000000004 " "
y[1] (analytic) = 0.6159188657895485 " "
y[1] (numeric) = 0.615918865789548 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.21019008373421300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.6021557884501183 " "
Order of pole = 2.855138347968022600000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5320000000000004 " "
y[1] (analytic) = 0.6165419275690454 " "
y[1] (numeric) = 0.616541927569045 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.40217773511027600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5330000000000004 " "
y[1] (analytic) = 0.617164928801539 " "
y[1] (numeric) = 0.6171649288015385 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.19563262793352800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5340000000000004 " "
y[1] (analytic) = 0.6177878695465786 " "
y[1] (numeric) = 0.6177878695465782 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.18837697761853100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5350000000000004 " "
y[1] (analytic) = 0.6184107498636261 " "
y[1] (numeric) = 0.6184107498636257 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.18113664660574900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5360000000000004 " "
y[1] (analytic) = 0.6190335698120557 " "
y[1] (numeric) = 0.6190335698120552 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.9673894823040900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5370000000000004 " "
y[1] (analytic) = 0.6196563294511537 " "
y[1] (numeric) = 0.6196563294511532 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.1667017464891290000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5380000000000004 " "
y[1] (analytic) = 0.6202790288401199 " "
y[1] (numeric) = 0.6202790288401193 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.94938384988768000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5390000000000004 " "
y[1] (analytic) = 0.6209016680380661 " "
y[1] (numeric) = 0.6209016680380656 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.94040942210104700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5400000000000004 " "
y[1] (analytic) = 0.6215242471040179 " "
y[1] (numeric) = 0.6215242471040173 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.93145383947788500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5410000000000004 " "
y[1] (analytic) = 0.6221467660969136 " "
y[1] (numeric) = 0.622146766096913 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.92251704200142100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5420000000000004 " "
y[1] (analytic) = 0.622769225075605 " "
y[1] (numeric) = 0.6227692250756045 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.13087917592828500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5430000000000004 " "
y[1] (analytic) = 0.6233916240988577 " "
y[1] (numeric) = 0.6233916240988573 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.12375965095801100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5440000000000004 " "
y[1] (analytic) = 0.6240139632253511 " "
y[1] (numeric) = 0.6240139632253505 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.89581876410849000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5450000000000004 " "
y[1] (analytic) = 0.6246362425136778 " "
y[1] (numeric) = 0.6246362425136773 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.10956520971224700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 2.278895637249399 " "
Order of pole = 3.025313333182566600000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5460000000000004 " "
y[1] (analytic) = 0.6252584620223453 " "
y[1] (numeric) = 0.6252584620223447 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.8781127490400900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5470000000000004 " "
y[1] (analytic) = 0.6258806218097748 " "
y[1] (numeric) = 0.6258806218097741 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.06431448995644630000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5480000000000004 " "
y[1] (analytic) = 0.6265027219343019 " "
y[1] (numeric) = 0.6265027219343013 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.8604804556745400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5490000000000004 " "
y[1] (analytic) = 0.6271247624541773 " "
y[1] (numeric) = 0.6271247624541767 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.8516918091420300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5500000000000004 " "
y[1] (analytic) = 0.6277467434275658 " "
y[1] (numeric) = 0.6277467434275652 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.84292141894052400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5510000000000004 " "
y[1] (analytic) = 0.6283686649125475 " "
y[1] (numeric) = 0.6283686649125468 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.06010030730574740000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.338408397629077 " "
Order of pole = 5.607958541986591000000000000E-12 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5520000000000004 " "
y[1] (analytic) = 0.6289905269671173 " "
y[1] (numeric) = 0.6289905269671168 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.825435177684300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5530000000000004 " "
y[1] (analytic) = 0.6296123296491857 " "
y[1] (numeric) = 0.6296123296491851 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.81671921231087400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 2.41026694359959 " "
Order of pole = 4.707345624410664000000000000E-12 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5540000000000004 " "
y[1] (analytic) = 0.6302340730165782 " "
y[1] (numeric) = 0.6302340730165776 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.80802127462848500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5550000000000004 " "
y[1] (analytic) = 0.6308557571270361 " "
y[1] (numeric) = 0.6308557571270355 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.05592095696917580000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5560000000000004 " "
y[1] (analytic) = 0.6314773820382162 " "
y[1] (numeric) = 0.6314773820382157 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.79067925633136300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5570000000000004 " "
y[1] (analytic) = 0.6320989478076916 " "
y[1] (numeric) = 0.632098947807691 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.78203506330569200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5580000000000004 " "
y[1] (analytic) = 0.632720454492951 " "
y[1] (numeric) = 0.6327204544929504 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.77340867314670800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5590000000000004 " "
y[1] (analytic) = 0.6333419021513996 " "
y[1] (numeric) = 0.6333419021513991 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.76480003023516300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5600000000000004 " "
y[1] (analytic) = 0.633963290840359 " "
y[1] (numeric) = 0.6339632908403584 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.75620907918410200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5610000000000004 " "
y[1] (analytic) = 0.6345846206170671 " "
y[1] (numeric) = 0.6345846206170664 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.04971629178051710000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5620000000000004 " "
y[1] (analytic) = 0.6352058915386787 " "
y[1] (numeric) = 0.635205891538678 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.04868960387237210000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 9.42680708189002 " "
Order of pole = 4.8541259900503064000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5630000000000004 " "
y[1] (analytic) = 0.6358271036622654 " "
y[1] (numeric) = 0.6358271036622647 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.0476650192139760000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 10.772325361842842 " "
Order of pole = 3.12306625005476230000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5640000000000004 " "
y[1] (analytic) = 0.6364482570448157 " "
y[1] (numeric) = 0.6364482570448151 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.72202109390787400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5650000000000004 " "
y[1] (analytic) = 0.6370693517432355 " "
y[1] (numeric) = 0.6370693517432351 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.97081422352033500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 2.061413353353442 " "
Order of pole = 1.231548196756193600000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5660000000000004 " "
y[1] (analytic) = 0.6376903878143483 " "
y[1] (numeric) = 0.6376903878143477 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.70503182924232200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5670000000000004 " "
y[1] (analytic) = 0.6383113653148944 " "
y[1] (numeric) = 0.6383113653148939 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.69656318963909300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5680000000000004 " "
y[1] (analytic) = 0.6389322843015323 " "
y[1] (numeric) = 0.6389322843015317 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.68811180701903100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5690000000000004 " "
y[1] (analytic) = 0.639553144830838 " "
y[1] (numeric) = 0.6395531448308375 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.67967762803207500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5700000000000004 " "
y[1] (analytic) = 0.640173946959306 " "
y[1] (numeric) = 0.6401739469593054 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.6712605995486590000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5710000000000004 " "
y[1] (analytic) = 0.6407946907433484 " "
y[1] (numeric) = 0.6407946907433477 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.0395432802390281000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 2.4625394250680466 " "
Order of pole = 3.742073317880567600000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5720000000000004 " "
y[1] (analytic) = 0.6414153762392958 " "
y[1] (numeric) = 0.6414153762392951 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.03853733392037730000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.3161087819295971 " "
Order of pole = 2.1987744958096300000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5730000000000004 " "
y[1] (analytic) = 0.6420360035033972 " "
y[1] (numeric) = 0.6420360035033966 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.64611188910749300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 0.609020742022517 " "
Order of pole = 8.380851568290382000000000000E-12 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5740000000000004 " "
y[1] (analytic) = 0.6426565725918205 " "
y[1] (numeric) = 0.6426565725918199 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.03653155228552350000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 4.209616542736444 " "
Order of pole = 2.995648173964582400000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5750000000000004 " "
y[1] (analytic) = 0.6432770835606519 " "
y[1] (numeric) = 0.6432770835606514 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.6294308704413690000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5760000000000004 " "
y[1] (analytic) = 0.6438975364658972 " "
y[1] (numeric) = 0.6438975364658965 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.03453387697558690000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5770000000000004 " "
y[1] (analytic) = 0.6445179313634803 " "
y[1] (numeric) = 0.6445179313634798 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.61281719716063700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5780000000000004 " "
y[1] (analytic) = 0.6451382683092455 " "
y[1] (numeric) = 0.6451382683092449 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.60453548612755500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5790000000000004 " "
y[1] (analytic) = 0.6457585473589555 " "
y[1] (numeric) = 0.645758547358955 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.59627045716841900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5800000000000004 " "
y[1] (analytic) = 0.6463787685682932 " "
y[1] (numeric) = 0.6463787685682927 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.58802205929707700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5810000000000004 " "
y[1] (analytic) = 0.6469989319928608 " "
y[1] (numeric) = 0.6469989319928604 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.86383219338857900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5820000000000004 " "
y[1] (analytic) = 0.6476190376881809 " "
y[1] (numeric) = 0.6476190376881803 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.57157495391382300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5830000000000004 " "
y[1] (analytic) = 0.6482390857096954 " "
y[1] (numeric) = 0.6482390857096948 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.5633761454670610000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5840000000000004 " "
y[1] (analytic) = 0.6488590761127667 " "
y[1] (numeric) = 0.6488590761127662 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.55519376623629400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 2.2950214832212326 " "
Order of pole = 6.021849685566849000000000000E-12 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5850000000000004 " "
y[1] (analytic) = 0.6494790089526778 " "
y[1] (numeric) = 0.6494790089526772 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.02564333195197930000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5860000000000004 " "
y[1] (analytic) = 0.6500988842846318 " "
y[1] (numeric) = 0.6500988842846311 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.02466537149668690000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5870000000000004 " "
y[1] (analytic) = 0.6507187021637526 " "
y[1] (numeric) = 0.6507187021637519 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.0236893646364910000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5880000000000004 " "
y[1] (analytic) = 0.6513384626450847 " "
y[1] (numeric) = 0.6513384626450841 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.52262754541273500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.2558928817669868 " "
Order of pole = 2.71000999418902200000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5890000000000004 " "
y[1] (analytic) = 0.6519581657835938 " "
y[1] (numeric) = 0.6519581657835932 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.51452656698279500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5900000000000004 " "
y[1] (analytic) = 0.6525778116341665 " "
y[1] (numeric) = 0.652577811634166 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.50644172106440500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.3464968192353213 " "
Order of pole = 1.3749001936957939000000000000E-12 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5910000000000004 " "
y[1] (analytic) = 0.6531974002516108 " "
y[1] (numeric) = 0.6531974002516102 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.49837295890568600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5920000000000004 " "
y[1] (analytic) = 0.6538169316906557 " "
y[1] (numeric) = 0.6538169316906552 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.79225618556139200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5930000000000004 " "
y[1] (analytic) = 0.6544364060059522 " "
y[1] (numeric) = 0.6544364060059518 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.78582679347492700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5940000000000004 " "
y[1] (analytic) = 0.6550558232520729 " "
y[1] (numeric) = 0.6550558232520723 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.47426269041753200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5950000000000004 " "
y[1] (analytic) = 0.655675183483512 " "
y[1] (numeric) = 0.6556751834835113 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.01595093356441640000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5960000000000004 " "
y[1] (analytic) = 0.6562944867546856 " "
y[1] (numeric) = 0.6562944867546849 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.01499224543095410000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 9.187448021537806 " "
Order of pole = 4.6107651030524720000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5970000000000004 " "
y[1] (analytic) = 0.6569137331199323 " "
y[1] (numeric) = 0.6569137331199317 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.45029543949619300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 4.759872943209688 " "
Order of pole = 9.64028856742515900000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5980000000000004 " "
y[1] (analytic) = 0.6575329226335129 " "
y[1] (numeric) = 0.6575329226335124 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.44233791502450800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5990000000000004 " "
y[1] (analytic) = 0.6581520553496105 " "
y[1] (numeric) = 0.65815205534961 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.43439609130602700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6000000000000004 " "
y[1] (analytic) = 0.658771131322331 " "
y[1] (numeric) = 0.6587711313223303 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.01117639055916740000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6010000000000004 " "
y[1] (analytic) = 0.6593901506057025 " "
y[1] (numeric) = 0.6593901506057018 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.01022712299114100000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6020000000000004 " "
y[1] (analytic) = 0.6600091132536765 " "
y[1] (numeric) = 0.6600091132536758 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.0092797226559860000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.1668822667903567 " "
Order of pole = 1.550759520796418700000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6030000000000004 " "
y[1] (analytic) = 0.6606280193201273 " "
y[1] (numeric) = 0.6606280193201267 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.40278486649507700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 4.036700348823175 " "
Order of pole = 3.742073317880567600000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6040000000000004 " "
y[1] (analytic) = 0.6612468688588524 " "
y[1] (numeric) = 0.6612468688588519 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.39492084507806700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6050000000000004 " "
y[1] (analytic) = 0.6618656619235728 " "
y[1] (numeric) = 0.6618656619235722 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.38707224513300600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6060000000000004 " "
y[1] (analytic) = 0.6624843985679325 " "
y[1] (numeric) = 0.662484398567932 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.3792390207609700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6070000000000004 " "
y[1] (analytic) = 0.6631030788454996 " "
y[1] (numeric) = 0.663103078845499 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.37142112624569800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6080000000000004 " "
y[1] (analytic) = 0.6637217028097655 " "
y[1] (numeric) = 0.663721702809765 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.363618516052701000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6090000000000004 " "
y[1] (analytic) = 0.6643402705141459 " "
y[1] (numeric) = 0.6643402705141453 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.35583114482833700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6100000000000004 " "
y[1] (analytic) = 0.6649587820119804 " "
y[1] (numeric) = 0.6649587820119798 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.00176707608787150000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 4.15720123224877 " "
Order of pole = 7.12727654672562500000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6110000000000004 " "
y[1] (analytic) = 0.6655772373565325 " "
y[1] (numeric) = 0.6655772373565318 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.00083623265238450000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6120000000000004 " "
y[1] (analytic) = 0.6661956366009903 " "
y[1] (numeric) = 0.6661956366009897 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 9.99907201694967800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6130000000000004 " "
y[1] (analytic) = 0.6668139797984665 " "
y[1] (numeric) = 0.6668139797984658 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 9.98979977858925300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6140000000000004 " "
y[1] (analytic) = 0.6674322670019981 " "
y[1] (numeric) = 0.6674322670019973 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 1.16439698177685350000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6150000000000004 " "
y[1] (analytic) = 0.6680504982645469 " "
y[1] (numeric) = 0.6680504982645462 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 9.97130930229927200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 2.4463629065728063 " "
Order of pole = 5.080380560684716000000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6160000000000004 " "
y[1] (analytic) = 0.6686686736389998 " "
y[1] (numeric) = 0.6686686736389992 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 9.96209095829013800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 8.56738202632928 " "
Order of pole = 3.9147529662386660000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6170000000000004 " "
y[1] (analytic) = 0.6692867931781686 " "
y[1] (numeric) = 0.669286793178168 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 9.95289047333352300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 8.739108176244558 " "
Order of pole = 2.01083594220108350000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6180000000000004 " "
y[1] (analytic) = 0.6699048569347903 " "
y[1] (numeric) = 0.6699048569347896 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 9.94370779491059200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6190000000000004 " "
y[1] (analytic) = 0.6705228649615271 " "
y[1] (numeric) = 0.6705228649615265 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 9.93454287070903900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6200000000000004 " "
y[1] (analytic) = 0.6711408173109669 " "
y[1] (numeric) = 0.6711408173109662 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 9.92539564862208300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6210000000000004 " "
y[1] (analytic) = 0.6717587140356229 " "
y[1] (numeric) = 0.6717587140356223 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 9.91626607674745100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6220000000000004 " "
y[1] (analytic) = 0.6723765551879344 " "
y[1] (numeric) = 0.6723765551879337 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 9.90715410338637500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.9544864444017789 " "
Order of pole = 1.85895743243236200000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6230000000000004 " "
y[1] (analytic) = 0.6729943408202663 " "
y[1] (numeric) = 0.6729943408202657 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 9.89805967704259500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.333655561853034 " "
Order of pole = 1.1599610161283636000000000000E-12 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6240000000000004 " "
y[1] (analytic) = 0.6736120709849097 " "
y[1] (numeric) = 0.673612070984909 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 9.8889827464213700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6250000000000004 " "
y[1] (analytic) = 0.6742297457340816 " "
y[1] (numeric) = 0.674229745734081 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.23326938369040900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6260000000000004 " "
y[1] (analytic) = 0.6748473651199256 " "
y[1] (numeric) = 0.674847365119925 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.22573430680774300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6270000000000004 " "
y[1] (analytic) = 0.6754649291945116 " "
y[1] (numeric) = 0.6754649291945111 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.21821368245640600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6280000000000004 " "
y[1] (analytic) = 0.676082438009836 " "
y[1] (numeric) = 0.6760824380098355 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.21070746855433400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6290000000000004 " "
y[1] (analytic) = 0.6766998916178222 " "
y[1] (numeric) = 0.6766998916178216 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.20321562318332600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6300000000000004 " "
y[1] (analytic) = 0.67731729007032 " "
y[1] (numeric) = 0.6773172900703195 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.19573810458826200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6310000000000004 " "
y[1] (analytic) = 0.6779346334191065 " "
y[1] (numeric) = 0.6779346334191061 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.55061989694103500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6320000000000005 " "
y[1] (analytic) = 0.6785519217158862 " "
y[1] (numeric) = 0.6785519217158856 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.18082588151606300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6330000000000005 " "
y[1] (analytic) = 0.67916915501229 " "
y[1] (numeric) = 0.6791691550122895 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.17339109433692000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6340000000000005 " "
y[1] (analytic) = 0.679786333359877 " "
y[1] (numeric) = 0.6797863333598765 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.16597046852814200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6350000000000005 " "
y[1] (analytic) = 0.6804034568101336 " "
y[1] (numeric) = 0.680403456810133 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.15856396313815300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6360000000000005 " "
y[1] (analytic) = 0.6810205254144737 " "
y[1] (numeric) = 0.6810205254144732 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.5209372298990100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6370000000000005 " "
y[1] (analytic) = 0.6816375392242393 " "
y[1] (numeric) = 0.6816375392242388 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.14379315059938900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6380000000000005 " "
y[1] (analytic) = 0.6822544982907 " "
y[1] (numeric) = 0.6822544982906995 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.50914300986905100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6390000000000005 " "
y[1] (analytic) = 0.6828714026650538 " "
y[1] (numeric) = 0.6828714026650533 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.50326266580952400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6400000000000005 " "
y[1] (analytic) = 0.6834882523984267 " "
y[1] (numeric) = 0.6834882523984261 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.12174182020887800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6410000000000005 " "
y[1] (analytic) = 0.6841050475418731 " "
y[1] (numeric) = 0.6841050475418725 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.11441918616454400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 0.9550446370502841 " "
Order of pole = 1.096012169909954500000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6420000000000005 " "
y[1] (analytic) = 0.6847217881463759 " "
y[1] (numeric) = 0.6847217881463753 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.10711039027006600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6430000000000005 " "
y[1] (analytic) = 0.6853384742628466 " "
y[1] (numeric) = 0.685338474262846 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.09981539281971500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6440000000000005 " "
y[1] (analytic) = 0.6859551059421255 " "
y[1] (numeric) = 0.6859551059421249 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.09253415426013900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6450000000000005 " "
y[1] (analytic) = 0.6865716832349817 " "
y[1] (numeric) = 0.6865716832349811 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 9.70231996222755800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6460000000000005 " "
y[1] (analytic) = 0.6871882061921133 " "
y[1] (numeric) = 0.6871882061921127 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.07801279635740700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6470000000000005 " "
y[1] (analytic) = 0.6878046748641475 " "
y[1] (numeric) = 0.6878046748641471 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.45661807893029200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6480000000000005 " "
y[1] (analytic) = 0.6884210893016411 " "
y[1] (numeric) = 0.6884210893016407 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.4508368025239100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6490000000000005 " "
y[1] (analytic) = 0.68903744955508 " "
y[1] (numeric) = 0.6890374495550795 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.44506637682489600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6500000000000005 " "
y[1] (analytic) = 0.6896537556748794 " "
y[1] (numeric) = 0.689653755674879 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.43930677090980300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6510000000000005 " "
y[1] (analytic) = 0.6902700077113849 " "
y[1] (numeric) = 0.6902700077113844 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.04194744246632500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6520000000000005 " "
y[1] (analytic) = 0.6908862057148711 " "
y[1] (numeric) = 0.6908862057148706 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.03477486915801800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6530000000000005 " "
y[1] (analytic) = 0.691502349735543 " "
y[1] (numeric) = 0.6915023497355426 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.42209256439836200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6540000000000005 " "
y[1] (analytic) = 0.6921184398235358 " "
y[1] (numeric) = 0.6921184398235353 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.02046991341699900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6550000000000005 " "
y[1] (analytic) = 0.6927344760289144 " "
y[1] (numeric) = 0.6927344760289138 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.01333745499059300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 2.6737042788562464 " "
Order of pole = 1.747224587234086400000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6560000000000005 " "
y[1] (analytic) = 0.6933504584016743 " "
y[1] (numeric) = 0.6933504584016738 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.00621829243803700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6570000000000005 " "
y[1] (analytic) = 0.6939663869917414 " "
y[1] (numeric) = 0.693966386991741 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.3992899104974600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 5.59298222439738 " "
Order of pole = 6.93365365123099800000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6580000000000005 " "
y[1] (analytic) = 0.6945822618489723 " "
y[1] (numeric) = 0.6945822618489719 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.39361576363756800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6590000000000005 " "
y[1] (analytic) = 0.6951980830231542 " "
y[1] (numeric) = 0.6951980830231537 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 7.98494020436028500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6600000000000005 " "
y[1] (analytic) = 0.695813850564005 " "
y[1] (numeric) = 0.6958138505640045 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 7.97787385034980500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6610000000000005 " "
y[1] (analytic) = 0.6964295645211738 " "
y[1] (numeric) = 0.6964295645211733 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.37665648435522200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 15.720051008665862 " "
Order of pole = 6.4953908918141680000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6620000000000005 " "
y[1] (analytic) = 0.6970452249442407 " "
y[1] (numeric) = 0.6970452249442403 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.37102434616903100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 16.266325482314073 " "
Order of pole = 6.9180394746126690000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6630000000000005 " "
y[1] (analytic) = 0.6976608318827171 " "
y[1] (numeric) = 0.6976608318827165 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 7.95675329535910400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 10.019986610443626 " "
Order of pole = 5.2657966875813140000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6640000000000005 " "
y[1] (analytic) = 0.6982763853860454 " "
y[1] (numeric) = 0.6982763853860449 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 7.94973915673350700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6650000000000005 " "
y[1] (analytic) = 0.6988918855035999 " "
y[1] (numeric) = 0.6988918855035994 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 7.94273798031840200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6660000000000005 " "
y[1] (analytic) = 0.6995073322846863 " "
y[1] (numeric) = 0.6995073322846858 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 7.93574972973490300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6670000000000005 " "
y[1] (analytic) = 0.7001227257785422 " "
y[1] (numeric) = 0.7001227257785415 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 9.51452924248884600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6680000000000005 " "
y[1] (analytic) = 0.7007380660343365 " "
y[1] (numeric) = 0.700738066034336 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 7.92181186122943600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6690000000000005 " "
y[1] (analytic) = 0.701353353101171 " "
y[1] (numeric) = 0.7013533531011703 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 9.49783460547601300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6700000000000005 " "
y[1] (analytic) = 0.7019685870280787 " "
y[1] (numeric) = 0.7019685870280781 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 9.48951031548721700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 3.706261594201403 " "
Order of pole = 3.81739084787113800000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6710000000000005 " "
y[1] (analytic) = 0.7025837678640253 " "
y[1] (numeric) = 0.7025837678640248 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 7.90100110055505600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6720000000000005 " "
y[1] (analytic) = 0.7031988956579089 " "
y[1] (numeric) = 0.7031988956579083 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 9.47290757832978200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6730000000000005 " "
y[1] (analytic) = 0.7038139704585598 " "
y[1] (numeric) = 0.7038139704585592 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 7.88719087162909600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 11.418054103499758 " "
Order of pole = 6.7770145051326840000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6740000000000005 " "
y[1] (analytic) = 0.7044289923147411 " "
y[1] (numeric) = 0.7044289923147404 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 9.4563656811766100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 0.8481808365429346 " "
Order of pole = 1.476863076277368200000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6750000000000005 " "
y[1] (analytic) = 0.7050439612751485 " "
y[1] (numeric) = 0.7050439612751479 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 7.87343120148988900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 0.7219813688960703 " "
Order of pole = 5.7198690228688060000000000000E-12 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6760000000000005 " "
y[1] (analytic) = 0.7056588773884107 " "
y[1] (numeric) = 0.70565887738841 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 9.43988428573879800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6770000000000005 " "
y[1] (analytic) = 0.7062737407030892 " "
y[1] (numeric) = 0.7062737407030886 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 9.43166617113590500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.7641371054285955 " "
Order of pole = 3.11537462494015900000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6780000000000005 " "
y[1] (analytic) = 0.7068885512676788 " "
y[1] (numeric) = 0.7068885512676781 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 9.42346305624134800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.6168373334890835 " "
Order of pole = 5.723421736547607000000000000E-12 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6790000000000005 " "
y[1] (analytic) = 0.7075033091306073 " "
y[1] (numeric) = 0.7075033091306067 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 9.41527489947221700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6800000000000005 " "
y[1] (analytic) = 0.7081180143402361 " "
y[1] (numeric) = 0.7081180143402354 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 1.09749519359664540000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6810000000000005 " "
y[1] (analytic) = 0.7087326669448597 " "
y[1] (numeric) = 0.7087326669448589 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 1.0965433843873790000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6820000000000005 " "
y[1] (analytic) = 0.7093472669927063 " "
y[1] (numeric) = 0.7093472669927057 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 9.39079976439724900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6830000000000005 " "
y[1] (analytic) = 0.7099618145319384 " "
y[1] (numeric) = 0.7099618145319376 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 1.0946449531936740000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6840000000000005 " "
y[1] (analytic) = 0.7105763096106513 " "
y[1] (numeric) = 0.7105763096106505 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 1.09369832166715430000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6850000000000005 " "
y[1] (analytic) = 0.711190752276875 " "
y[1] (numeric) = 0.7111907522768742 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 1.09275340652215540000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.7928198516856781 " "
Order of pole = 1.167599350537784600000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6860000000000005 " "
y[1] (analytic) = 0.7118051425785733 " "
y[1] (numeric) = 0.7118051425785725 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 1.09181020303154450000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6870000000000005 " "
y[1] (analytic) = 0.7124194805636443 " "
y[1] (numeric) = 0.7124194805636436 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 1.09086870648560530000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.8844326519550152 " "
Order of pole = 5.739408948102209000000000000E-12 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6880000000000005 " "
y[1] (analytic) = 0.7130337662799203 " "
y[1] (numeric) = 0.7130337662799195 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 1.08992891219195980000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6890000000000005 " "
y[1] (analytic) = 0.7136479997751681 " "
y[1] (numeric) = 0.7136479997751674 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 1.08899081547548570000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 10.95721895551523 " "
Order of pole = 2.99582580964852240000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6900000000000005 " "
y[1] (analytic) = 0.714262181097089 " "
y[1] (numeric) = 0.7142621810970883 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 1.08805441167823970000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.114733439480992 " "
Order of pole = 1.071853716894111100000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6910000000000005 " "
y[1] (analytic) = 0.7148763102933191 " "
y[1] (numeric) = 0.7148763102933183 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 1.0871196961593770000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6920000000000005 " "
y[1] (analytic) = 0.7154903874114289 " "
y[1] (numeric) = 0.7154903874114282 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 9.31017140824348500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6930000000000005 " "
y[1] (analytic) = 0.7161044124989244 " "
y[1] (numeric) = 0.7161044124989238 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 9.30218838410096300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6940000000000005 " "
y[1] (analytic) = 0.7167183856032462 " "
y[1] (numeric) = 0.7167183856032456 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 7.74518309371055300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6950000000000005 " "
y[1] (analytic) = 0.7173323067717703 " "
y[1] (numeric) = 0.7173323067717696 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 9.28626535409946600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6960000000000005 " "
y[1] (analytic) = 0.7179461760518078 " "
y[1] (numeric) = 0.717946176051807 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 1.08247128149830720000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6970000000000005 " "
y[1] (analytic) = 0.718559993490605 " "
y[1] (numeric) = 0.7185599934906043 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 9.27039942119743800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6980000000000005 " "
y[1] (analytic) = 0.719173759135344 " "
y[1] (numeric) = 0.7191737591353434 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 7.71873980746994600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 3.0445394009271736 " "
Order of pole = 1.381827985369454800000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6990000000000005 " "
y[1] (analytic) = 0.7197874730331427 " "
y[1] (numeric) = 0.7197874730331421 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 9.25459027465488700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.9795998942805497 " "
Order of pole = 4.266276221187581500000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7000000000000005 " "
y[1] (analytic) = 0.7204011352310542 " "
y[1] (numeric) = 0.7204011352310535 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 9.2467068997808410000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7010000000000005 " "
y[1] (analytic) = 0.7210147457760678 " "
y[1] (numeric) = 0.7210147457760672 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 9.23883760599233600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7020000000000005 " "
y[1] (analytic) = 0.7216283047151086 " "
y[1] (numeric) = 0.7216283047151081 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 7.69248529589939700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7030000000000005 " "
y[1] (analytic) = 0.7222418120950381 " "
y[1] (numeric) = 0.7222418120950376 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 7.68595092414190600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7040000000000005 " "
y[1] (analytic) = 0.7228552679626536 " "
y[1] (numeric) = 0.7228552679626531 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 7.67942819144340900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7050000000000005 " "
y[1] (analytic) = 0.723468672364689 " "
y[1] (numeric) = 0.7234686723646884 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 9.20750047956888500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7060000000000005 " "
y[1] (analytic) = 0.7240820253478143 " "
y[1] (numeric) = 0.7240820253478137 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 7.66641751735142600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7070000000000005 " "
y[1] (analytic) = 0.7246953269586365 " "
y[1] (numeric) = 0.7246953269586359 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 7.65992951330652600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7080000000000005 " "
y[1] (analytic) = 0.7253085772436989 " "
y[1] (numeric) = 0.7253085772436983 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 7.65345302301677300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7090000000000005 " "
y[1] (analytic) = 0.7259217762494816 " "
y[1] (numeric) = 0.7259217762494812 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.11759041235098600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7100000000000005 " "
y[1] (analytic) = 0.7265349240224019 " "
y[1] (numeric) = 0.7265349240224015 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.11242756771276000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7110000000000005 " "
y[1] (analytic) = 0.7271480206088139 " "
y[1] (numeric) = 0.7271480206088135 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.10727385984277800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7120000000000005 " "
y[1] (analytic) = 0.7277610660550087 " "
y[1] (numeric) = 0.7277610660550082 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.1021292641738490000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7130000000000005 " "
y[1] (analytic) = 0.7283740604072149 " "
y[1] (numeric) = 0.7283740604072143 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 7.62124219528397200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7140000000000005 " "
y[1] (analytic) = 0.728987003711598 " "
y[1] (numeric) = 0.7289870037115974 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 7.61483413951494200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7150000000000005 " "
y[1] (analytic) = 0.7295998960142613 " "
y[1] (numeric) = 0.7295998960142609 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.08674990602496100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7160000000000005 " "
y[1] (analytic) = 0.7302127373612459 " "
y[1] (numeric) = 0.7302127373612455 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.08164151525017600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7170000000000005 " "
y[1] (analytic) = 0.7308255277985303 " "
y[1] (numeric) = 0.7308255277985297 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 7.59567764394798500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7180000000000005 " "
y[1] (analytic) = 0.7314382673720304 " "
y[1] (numeric) = 0.7314382673720299 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 7.58931460213350700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7190000000000005 " "
y[1] (analytic) = 0.7320509561276008 " "
y[1] (numeric) = 0.7320509561276003 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 7.58296273867333200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 3.19850433467479 " "
Order of pole = 8.77449224390147700000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7200000000000005 " "
y[1] (analytic) = 0.7326635941110337 " "
y[1] (numeric) = 0.7326635941110331 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 7.57662202372856400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7210000000000005 " "
y[1] (analytic) = 0.7332761813680593 " "
y[1] (numeric) = 0.7332761813680587 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 7.57029242756688700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7220000000000005 " "
y[1] (analytic) = 0.7338887179443462 " "
y[1] (numeric) = 0.7338887179443457 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.05117913644967300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7230000000000005 " "
y[1] (analytic) = 0.7345012038855016 " "
y[1] (numeric) = 0.7345012038855011 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.0461331785548700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7240000000000005 " "
y[1] (analytic) = 0.7351136392370706 " "
y[1] (numeric) = 0.7351136392370702 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.04109604483676200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7250000000000005 " "
y[1] (analytic) = 0.7357260240445376 " "
y[1] (numeric) = 0.7357260240445371 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.0360677118467600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.200856419916138 " "
Order of pole = 7.759126674500294000000000000E-12 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7260000000000005 " "
y[1] (analytic) = 0.736338358353325 " "
y[1] (numeric) = 0.7363383583533245 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.03104815621965300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7270000000000005 " "
y[1] (analytic) = 0.7369506422087942 " "
y[1] (numeric) = 0.7369506422087939 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.519528016004928400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7280000000000005 " "
y[1] (analytic) = 0.737562875656246 " "
y[1] (numeric) = 0.7375628756562457 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.51577646300596300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7290000000000005 " "
y[1] (analytic) = 0.7381750587409196 " "
y[1] (numeric) = 0.7381750587409193 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.512031440829875600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7300000000000005 " "
y[1] (analytic) = 0.7387871915079935 " "
y[1] (numeric) = 0.7387871915079932 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.508292932200127500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7310000000000005 " "
y[1] (analytic) = 0.7393992740025855 " "
y[1] (numeric) = 0.7393992740025852 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.504560919901340000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7320000000000005 " "
y[1] (analytic) = 0.7400113062697529 " "
y[1] (numeric) = 0.7400113062697524 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.00111384903869100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7330000000000005 " "
y[1] (analytic) = 0.7406232883544919 " "
y[1] (numeric) = 0.7406232883544915 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.49711631573928900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7340000000000005 " "
y[1] (analytic) = 0.7412352203017389 " "
y[1] (numeric) = 0.7412352203017386 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.493403689748627000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7350000000000005 " "
y[1] (analytic) = 0.7418471021563697 " "
y[1] (numeric) = 0.7418471021563694 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.489697491833589000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7360000000000005 " "
y[1] (analytic) = 0.7424589339631998 " "
y[1] (numeric) = 0.7424589339631995 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.48599770508055500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7370000000000005 " "
y[1] (analytic) = 0.7430707157669848 " "
y[1] (numeric) = 0.7430707157669845 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.48230431263545400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7380000000000005 " "
y[1] (analytic) = 0.74368244761242 " "
y[1] (numeric) = 0.7436824476124198 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.98574486513567440000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7390000000000005 " "
y[1] (analytic) = 0.7442941295441412 " "
y[1] (numeric) = 0.7442941295441409 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.47493664354898100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7400000000000005 " "
y[1] (analytic) = 0.7449057616067238 " "
y[1] (numeric) = 0.7449057616067235 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.47126233349489200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 11.705435062572528 " "
Order of pole = 3.49270834476556050000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7410000000000005 " "
y[1] (analytic) = 0.7455173438446842 " "
y[1] (numeric) = 0.7455173438446838 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.467594350922784000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 0.8209979747283414 " "
Order of pole = 4.40003589119442040000000000E-12 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7420000000000005 " "
y[1] (analytic) = 0.7461288763024787 " "
y[1] (numeric) = 0.7461288763024784 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.463932679272454300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7430000000000005 " "
y[1] (analytic) = 0.7467403590245045 " "
y[1] (numeric) = 0.7467403590245042 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.460277302041702500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7440000000000005 " "
y[1] (analytic) = 0.7473517920550992 " "
y[1] (numeric) = 0.7473517920550988 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.456628202786075400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7450000000000006 " "
y[1] (analytic) = 0.7479631754385411 " "
y[1] (numeric) = 0.7479631754385407 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.45298536511861350000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7460000000000006 " "
y[1] (analytic) = 0.7485745092190494 " "
y[1] (numeric) = 0.7485745092190492 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.96623251513973400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7470000000000006 " "
y[1] (analytic) = 0.7491857934407847 " "
y[1] (numeric) = 0.7491857934407844 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.44571840928631330000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7480000000000006 " "
y[1] (analytic) = 0.7497970281478479 " "
y[1] (numeric) = 0.7497970281478475 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.44209425863277160000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7490000000000006 " "
y[1] (analytic) = 0.7504082133842813 " "
y[1] (numeric) = 0.750408213384281 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.43847630458949370000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7500000000000006 " "
y[1] (analytic) = 0.7510193491940689 " "
y[1] (numeric) = 0.7510193491940685 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.434864531053247500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7510000000000006 " "
y[1] (analytic) = 0.7516304356211354 " "
y[1] (numeric) = 0.7516304356211352 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.95417261465120430000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7520000000000006 " "
y[1] (analytic) = 0.7522414727093476 " "
y[1] (numeric) = 0.7522414727093474 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.95177297424580200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7530000000000006 " "
y[1] (analytic) = 0.7528524605025135 " "
y[1] (numeric) = 0.7528524605025132 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.424066133292991500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7540000000000006 " "
y[1] (analytic) = 0.7534633990443829 " "
y[1] (numeric) = 0.7534633990443825 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.42047892186900500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 2.2970779335886973 " "
Order of pole = 3.37685435169987600000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7550000000000006 " "
y[1] (analytic) = 0.7540742883786471 " "
y[1] (numeric) = 0.7540742883786468 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.416897811271114400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7560000000000006 " "
y[1] (analytic) = 0.7546851285489398 " "
y[1] (numeric) = 0.7546851285489394 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.41332278572848900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7570000000000006 " "
y[1] (analytic) = 0.7552959195988364 " "
y[1] (numeric) = 0.755295919598836 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.409753829524860600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 2.0066604746312797 " "
Order of pole = 4.50466330903509500000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7580000000000006 " "
y[1] (analytic) = 0.7559066615718542 " "
y[1] (numeric) = 0.7559066615718539 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.93746061799885900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7590000000000006 " "
y[1] (analytic) = 0.7565173545114532 " "
y[1] (numeric) = 0.756517354511453 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.93508937502728050000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 0.892735991841849 " "
Order of pole = 1.466915477976726800000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7600000000000006 " "
y[1] (analytic) = 0.7571279984610353 " "
y[1] (numeric) = 0.7571279984610351 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.93272214706584500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7610000000000006 " "
y[1] (analytic) = 0.7577385934639449 " "
y[1] (numeric) = 0.7577385934639447 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.93035892378097200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7620000000000006 " "
y[1] (analytic) = 0.7583491395634688 " "
y[1] (numeric) = 0.7583491395634686 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.9279996948746800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7630000000000006 " "
y[1] (analytic) = 0.7589596368028368 " "
y[1] (numeric) = 0.7589596368028365 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.388466675126642000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7640000000000006 " "
y[1] (analytic) = 0.7595700852252207 " "
y[1] (numeric) = 0.7595700852252205 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.923293179182967500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7650000000000006 " "
y[1] (analytic) = 0.760180484873736 " "
y[1] (numeric) = 0.7601804848737357 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.38141880796727500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7660000000000006 " "
y[1] (analytic) = 0.7607908357914404 " "
y[1] (numeric) = 0.76079083579144 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.377903777469427400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7670000000000006 " "
y[1] (analytic) = 0.7614011380213346 " "
y[1] (numeric) = 0.7614011380213344 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.916263108064984000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7680000000000006 " "
y[1] (analytic) = 0.7620113916063631 " "
y[1] (numeric) = 0.7620113916063628 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.37089144672001660000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7690000000000006 " "
y[1] (analytic) = 0.7626215965894129 " "
y[1] (numeric) = 0.7626215965894125 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.367394116257456400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7700000000000006 " "
y[1] (analytic) = 0.7632317530133145 " "
y[1] (numeric) = 0.7632317530133141 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.36390265568178840000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7710000000000006 " "
y[1] (analytic) = 0.763841860920842 " "
y[1] (numeric) = 0.7638418609208417 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.36041705001636640000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7720000000000006 " "
y[1] (analytic) = 0.7644519203547129 " "
y[1] (numeric) = 0.7644519203547125 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.35693728433569460000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7730000000000006 " "
y[1] (analytic) = 0.7650619313575882 " "
y[1] (numeric) = 0.7650619313575878 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.353463343765202600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7740000000000006 " "
y[1] (analytic) = 0.7656718939720728 " "
y[1] (numeric) = 0.7656718939720724 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 5.79999361797470400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 3.7343872830701246 " "
Order of pole = 9.105605158765684000000000000E-12 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7750000000000006 " "
y[1] (analytic) = 0.766281808240715 " "
y[1] (numeric) = 0.7662818082407147 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.346532878709804500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7760000000000006 " "
y[1] (analytic) = 0.7668916742060078 " "
y[1] (numeric) = 0.7668916742060073 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 5.79076843297125500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 1.3518411240080144 " "
Order of pole = 1.57545088086408200000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7770000000000006 " "
y[1] (analytic) = 0.7675014919103873 " "
y[1] (numeric) = 0.7675014919103869 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 5.78616738248521900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 13.585070236862782 " "
Order of pole = 4.5476156174117930000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7780000000000006 " "
y[1] (analytic) = 0.7681112613962342 " "
y[1] (numeric) = 0.7681112613962339 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.33618050049304800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7790000000000006 " "
y[1] (analytic) = 0.7687209827058735 " "
y[1] (numeric) = 0.7687209827058731 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 5.77698826805641100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7800000000000006 " "
y[1] (analytic) = 0.769330655881574 " "
y[1] (numeric) = 0.7693306558815737 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.329307623987588000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 5.5461864249109105 " "
Order of pole = 8.07425237780989800000000000E-11 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7810000000000006 " "
y[1] (analytic) = 0.7699402809655495 " "
y[1] (numeric) = 0.7699402809655491 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.32587975485399840000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7820000000000006 " "
y[1] (analytic) = 0.7705498579999577 " "
y[1] (numeric) = 0.7705498579999573 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.32245757921566300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7830000000000006 " "
y[1] (analytic) = 0.7711593870269013 " "
y[1] (numeric) = 0.771159387026901 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.31904108269550500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7840000000000006 " "
y[1] (analytic) = 0.7717688680884276 " "
y[1] (numeric) = 0.7717688680884274 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.87708683397669700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7850000000000006 " "
y[1] (analytic) = 0.7723783012265286 " "
y[1] (numeric) = 0.7723783012265284 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.87481671316279600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7860000000000006 " "
y[1] (analytic) = 0.7729876864831414 " "
y[1] (numeric) = 0.7729876864831411 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.30882552480104800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7870000000000006 " "
y[1] (analytic) = 0.7735970239001477 " "
y[1] (numeric) = 0.7735970239001474 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.305431601951686000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7880000000000006 " "
y[1] (analytic) = 0.7742063135193746 " "
y[1] (numeric) = 0.7742063135193742 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 5.73605771607995600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7890000000000006 " "
y[1] (analytic) = 0.7748155553825942 " "
y[1] (numeric) = 0.7748155553825937 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 5.73154742138310500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7900000000000006 " "
y[1] (analytic) = 0.7754247495315237 " "
y[1] (numeric) = 0.7754247495315234 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.295283424842588600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7910000000000006 " "
y[1] (analytic) = 0.7760338960078264 " "
y[1] (numeric) = 0.7760338960078259 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 5.72254913264232000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7920000000000006 " "
y[1] (analytic) = 0.77664299485311 " "
y[1] (numeric) = 0.7766429948531096 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.28854582600775800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7930000000000006 " "
y[1] (analytic) = 0.7772520461089285 " "
y[1] (numeric) = 0.7772520461089282 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.28518534052040430000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7940000000000006 " "
y[1] (analytic) = 0.7778610498167814 " "
y[1] (numeric) = 0.7778610498167811 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.28183037916602300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7950000000000006 " "
y[1] (analytic) = 0.7784700060181138 " "
y[1] (numeric) = 0.7784700060181134 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.27848092813735200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7960000000000006 " "
y[1] (analytic) = 0.7790789147543167 " "
y[1] (numeric) = 0.7790789147543163 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.275136973673327500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7970000000000006 " "
y[1] (analytic) = 0.779687776066727 " "
y[1] (numeric) = 0.7796877760667267 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.271798502058888000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7980000000000006 " "
y[1] (analytic) = 0.7802965899966277 " "
y[1] (numeric) = 0.7802965899966273 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.268465499624783000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7990000000000006 " "
y[1] (analytic) = 0.7809053565852477 " "
y[1] (numeric) = 0.7809053565852475 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.843425301831589700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8000000000000006 " "
y[1] (analytic) = 0.7815140758737626 " "
y[1] (numeric) = 0.7815140758737624 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.841210565232327000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8010000000000006 " "
y[1] (analytic) = 0.782122747903294 " "
y[1] (numeric) = 0.7821227479032936 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.25849917139514300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8020000000000006 " "
y[1] (analytic) = 0.7827313727149094 " "
y[1] (numeric) = 0.7827313727149091 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.25518790989943300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 11.448623028605615 " "
Order of pole = 6.2972738135158580000000000E-10 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8030000000000006 " "
y[1] (analytic) = 0.7833399503496238 " "
y[1] (numeric) = 0.7833399503496234 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.25188204991831500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8040000000000006 " "
y[1] (analytic) = 0.7839484808483979 " "
y[1] (numeric) = 0.7839484808483976 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.832387718702281700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"Complex estimate of poles used for equation 1"
Radius of convergence = 4.50738727311845 " "
Order of pole = 6.7414518412078900000000000E-11 " "
"Finished!"
"Maximum Time Reached before Solution Completed!"
"diff ( y , x , 1 ) = (0.1 * x + 0.2) / (0.2 * x + 0.3);"
Iterations = 705
"Total Elapsed Time "= 0 Years 0 Days 0 Hours 3 Minutes 0 Seconds
"Elapsed Time(since restart) "= 0 Years 0 Days 0 Hours 2 Minutes 59 Seconds
"Expected Time Remaining "= 0 Years 0 Days 0 Hours 17 Minutes 51 Seconds
"Optimized Time Remaining "= 0 Years 0 Days 0 Hours 17 Minutes 48 Seconds
"Expected Total Time "= 0 Years 0 Days 0 Hours 20 Minutes 48 Seconds
"Time to Timeout " Unknown
Percent Done = 14.408163265306134 "%"
(%o58) true
(%o58) diffeq.max