(%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_0D3 array_x ,
1 1 1
array_tmp2 : array_const_0D1 + array_tmp1 , array_tmp3 : sin(array_tmp2 ),
1 1 1 1 1
array_tmp3_g : cos(array_tmp2 ), array_tmp4 :
1 1 1
array_tmp3 + array_const_0D0 , array_tmp5 : array_const_0D1 array_x ,
1 1 1 1 1
array_tmp6 : array_const_0D2 + array_tmp5 ,
1 1 1
array_tmp7 : array_tmp4 - array_tmp6 ,
1 1 1
if not array_y_set_initial then (if 1 <= glob_max_terms
1, 2
then (temporary : array_tmp7 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_0D3 array_x , array_tmp2 : array_tmp1 ,
2 1 2 2 2
array_tmp3_g array_tmp2
1 2
array_tmp3 : -------------------------,
2 1
- array_tmp3 array_tmp2
1 2
array_tmp3_g : -------------------------, array_tmp4 : array_tmp3 ,
2 1 2 2
array_tmp5 : array_const_0D1 array_x , array_tmp6 : array_tmp5 ,
2 1 2 2 2
array_tmp7 : array_tmp4 - array_tmp6 ,
2 2 2
if not array_y_set_initial then (if 2 <= glob_max_terms
1, 3
then (temporary : array_tmp7 expt(glob_h, 1) factorial_3(1, 2),
2
array_y : temporary, array_y_higher : temporary,
3 1, 3
temporary 2.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 3,
glob_h 2, 2
array_tmp3_g array_tmp2
2 2
array_tmp3 : -------------------------,
3 2
- array_tmp3 array_tmp2
2 2
array_tmp3_g : -------------------------, array_tmp4 : array_tmp3 ,
3 2 3 3
array_tmp7 : array_tmp4 , if not array_y_set_initial
3 3 1, 4
then (if 3 <= glob_max_terms then (temporary :
array_tmp7 expt(glob_h, 1) factorial_3(2, 3), array_y : temporary,
3 4
temporary 3.0
array_y_higher : temporary, temporary : -------------,
1, 4 glob_h
array_y_higher : temporary, 0)), kkk : 4,
2, 3
array_tmp3_g array_tmp2
3 2
array_tmp3 : -------------------------,
4 3
- array_tmp3 array_tmp2
3 2
array_tmp3_g : -------------------------, array_tmp4 : array_tmp3 ,
4 3 4 4
array_tmp7 : array_tmp4 , if not array_y_set_initial
4 4 1, 5
then (if 4 <= glob_max_terms then (temporary :
array_tmp7 expt(glob_h, 1) factorial_3(3, 4), array_y : temporary,
4 5
temporary 4.0
array_y_higher : temporary, temporary : -------------,
1, 5 glob_h
array_y_higher : temporary, 0)), kkk : 5,
2, 4
array_tmp3_g array_tmp2
4 2
array_tmp3 : -------------------------,
5 4
- array_tmp3 array_tmp2
4 2
array_tmp3_g : -------------------------, array_tmp4 : array_tmp3 ,
5 4 5 5
array_tmp7 : array_tmp4 , if not array_y_set_initial
5 5 1, 6
then (if 5 <= glob_max_terms then (temporary :
array_tmp7 expt(glob_h, 1) factorial_3(4, 5), array_y : temporary,
5 6
temporary 5.0
array_y_higher : temporary, temporary : -------------,
1, 6 glob_h
array_y_higher : temporary, 0)), kkk : 6,
2, 5
while kkk <= glob_max_terms do (array_tmp3 :
kkk
array_tmp3_g array_tmp2
kkk - 1 2
-------------------------------, array_tmp3_g :
kkk - 1 kkk
- array_tmp3 array_tmp2
kkk - 1 2
-------------------------------, array_tmp4 : array_tmp3 ,
kkk - 1 kkk kkk
array_tmp7 : array_tmp4 , order_d : 1,
kkk kkk
if 1 + order_d + kkk <= glob_max_terms
then (if not array_y_set_initial
1, order_d + kkk
then (temporary : array_tmp7 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_0D3 array_x ,
1 1 1
array_tmp2 : array_const_0D1 + array_tmp1 , array_tmp3 : sin(array_tmp2 ),
1 1 1 1 1
array_tmp3_g : cos(array_tmp2 ), array_tmp4 :
1 1 1
array_tmp3 + array_const_0D0 , array_tmp5 : array_const_0D1 array_x ,
1 1 1 1 1
array_tmp6 : array_const_0D2 + array_tmp5 ,
1 1 1
array_tmp7 : array_tmp4 - array_tmp6 ,
1 1 1
if not array_y_set_initial then (if 1 <= glob_max_terms
1, 2
then (temporary : array_tmp7 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_0D3 array_x , array_tmp2 : array_tmp1 ,
2 1 2 2 2
array_tmp3_g array_tmp2
1 2
array_tmp3 : -------------------------,
2 1
- array_tmp3 array_tmp2
1 2
array_tmp3_g : -------------------------, array_tmp4 : array_tmp3 ,
2 1 2 2
array_tmp5 : array_const_0D1 array_x , array_tmp6 : array_tmp5 ,
2 1 2 2 2
array_tmp7 : array_tmp4 - array_tmp6 ,
2 2 2
if not array_y_set_initial then (if 2 <= glob_max_terms
1, 3
then (temporary : array_tmp7 expt(glob_h, 1) factorial_3(1, 2),
2
array_y : temporary, array_y_higher : temporary,
3 1, 3
temporary 2.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 3,
glob_h 2, 2
array_tmp3_g array_tmp2
2 2
array_tmp3 : -------------------------,
3 2
- array_tmp3 array_tmp2
2 2
array_tmp3_g : -------------------------, array_tmp4 : array_tmp3 ,
3 2 3 3
array_tmp7 : array_tmp4 , if not array_y_set_initial
3 3 1, 4
then (if 3 <= glob_max_terms then (temporary :
array_tmp7 expt(glob_h, 1) factorial_3(2, 3), array_y : temporary,
3 4
temporary 3.0
array_y_higher : temporary, temporary : -------------,
1, 4 glob_h
array_y_higher : temporary, 0)), kkk : 4,
2, 3
array_tmp3_g array_tmp2
3 2
array_tmp3 : -------------------------,
4 3
- array_tmp3 array_tmp2
3 2
array_tmp3_g : -------------------------, array_tmp4 : array_tmp3 ,
4 3 4 4
array_tmp7 : array_tmp4 , if not array_y_set_initial
4 4 1, 5
then (if 4 <= glob_max_terms then (temporary :
array_tmp7 expt(glob_h, 1) factorial_3(3, 4), array_y : temporary,
4 5
temporary 4.0
array_y_higher : temporary, temporary : -------------,
1, 5 glob_h
array_y_higher : temporary, 0)), kkk : 5,
2, 4
array_tmp3_g array_tmp2
4 2
array_tmp3 : -------------------------,
5 4
- array_tmp3 array_tmp2
4 2
array_tmp3_g : -------------------------, array_tmp4 : array_tmp3 ,
5 4 5 5
array_tmp7 : array_tmp4 , if not array_y_set_initial
5 5 1, 6
then (if 5 <= glob_max_terms then (temporary :
array_tmp7 expt(glob_h, 1) factorial_3(4, 5), array_y : temporary,
5 6
temporary 5.0
array_y_higher : temporary, temporary : -------------,
1, 6 glob_h
array_y_higher : temporary, 0)), kkk : 6,
2, 5
while kkk <= glob_max_terms do (array_tmp3 :
kkk
array_tmp3_g array_tmp2
kkk - 1 2
-------------------------------, array_tmp3_g :
kkk - 1 kkk
- array_tmp3 array_tmp2
kkk - 1 2
-------------------------------, array_tmp4 : array_tmp3 ,
kkk - 1 kkk kkk
array_tmp7 : array_tmp4 , order_d : 1,
kkk kkk
if 1 + order_d + kkk <= glob_max_terms
then (if not array_y_set_initial
1, order_d + kkk
then (temporary : array_tmp7 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)
- cos(0.1 + 0.3 x)
(%i56) exact_soln_y(x) := block(------------------ - 0.2 x - 0.05 x x)
0.3
- cos(0.1 + 0.3 x)
(%o56) exact_soln_y(x) := block(------------------ - 0.2 x - 0.05 x x)
0.3
(%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/sub_full_linpostode.ode#################"), omniout_str(ALWAYS, "\
diff ( y , x , 1 ) = sin(0.3 * x + 0.1) - (0.1 * x + 0.2) ;"),
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, "/* 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, " (-0.05 * x * x - 0.2 * x - cos(0.3 * x + 0.1) / 0.3) "),
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_g, 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_tmp7, 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_g : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp3 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp4 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp5 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp6 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp7 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_m1 : 0.0, term : 1 + term),
term
ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_higher : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_higher_work : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 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_g, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp3_g : 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_tmp7, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp7 : 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_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_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_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_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 )\
= sin(0.3 * x + 0.1) - (0.1 * x + 0.2) ;"),
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,
"2013-01-28T19:46:30-06:00"), logitem_str(html_log_file, "Maxima"),
logitem_str(html_log_file, "sub_full_lin"),
logitem_str(html_log_file,
"diff ( y , x , 1 ) = sin(0.3 * x + 0.1) - (0.1 * x + 0.2) ;"),
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, "sub_full_lin diffeq.max"),
logitem_str(html_log_file,
"sub_full_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/sub_full_linpostode.ode#################"), omniout_str(ALWAYS, "\
diff ( y , x , 1 ) = sin(0.3 * x + 0.1) - (0.1 * x + 0.2) ;"),
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, "/* 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, " (-0.05 * x * x - 0.2 * x - cos(0.3 * x + 0.1) / 0.3) "),
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_g, 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_tmp7, 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_g : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp3 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp4 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp5 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp6 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp7 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_m1 : 0.0, term : 1 + term),
term
ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_higher : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_higher_work : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 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_g, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp3_g : 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_tmp7, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp7 : 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_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_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_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_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 )\
= sin(0.3 * x + 0.1) - (0.1 * x + 0.2) ;"),
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,
"2013-01-28T19:46:30-06:00"), logitem_str(html_log_file, "Maxima"),
logitem_str(html_log_file, "sub_full_lin"),
logitem_str(html_log_file,
"diff ( y , x , 1 ) = sin(0.3 * x + 0.1) - (0.1 * x + 0.2) ;"),
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, "sub_full_lin diffeq.max"),
logitem_str(html_log_file,
"sub_full_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/sub_full_linpostode.ode#################"
"diff ( y , x , 1 ) = sin(0.3 * x + 0.1) - (0.1 * x + 0.2) ;"
"!"
"/* 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,"
"/* 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("
" (-0.05 * x * x - 0.2 * x - cos(0.3 * x + 0.1) / 0.3) "
"));"
"/* 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 = 2.0832042551106870000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-118 ""
max_value3 = 2.0832042551106870000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-118 ""
value3 = 2.0832042551106870000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-118 ""
best_h = 1.000E-3 ""
"START of Soultion"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1 " "
y[1] (analytic) = -3.325706312382627 " "
y[1] (numeric) = -3.325706312382627 " "
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) = -3.3257865795076684 " "
y[1] (numeric) = -3.325786579507669 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.335290762751839600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.10200000000000001 " "
y[1] (analytic) = -3.325866649175825 " "
y[1] (numeric) = -3.3258666491758255 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.335258615856144700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.10300000000000001 " "
y[1] (analytic) = -3.3259465213988033 " "
y[1] (numeric) = -3.3259465213988038 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.335226549774139700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.10400000000000001 " "
y[1] (analytic) = -3.3260261961883377 " "
y[1] (numeric) = -3.3260261961883377 " "
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) = -3.3261056735561882 " "
y[1] (numeric) = -3.3261056735561882 " "
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) = -3.3261849535141432 " "
y[1] (numeric) = -3.326184953514143 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.335130836247931700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.10700000000000001 " "
y[1] (analytic) = -3.326264036074016 " "
y[1] (numeric) = -3.326264036074016 " "
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) = -3.3263429212476487 " "
y[1] (numeric) = -3.3263429212476487 " "
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] = 0.10900000000000001 " "
y[1] (analytic) = -3.3264216090469088 " "
y[1] (numeric) = -3.3264216090469088 " "
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] = 0.11000000000000001 " "
y[1] (analytic) = -3.326500099483691 " "
y[1] (numeric) = -3.326500099483691 " "
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] = 0.11100000000000002 " "
y[1] (analytic) = -3.3265783925699153 " "
y[1] (numeric) = -3.326578392569916 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 2.66994585693190800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.11200000000000002 " "
y[1] (analytic) = -3.3266564883175325 " "
y[1] (numeric) = -3.326656488317533 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.33494158897861500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.11300000000000002 " "
y[1] (analytic) = -3.326734386738515 " "
y[1] (numeric) = -3.326734386738516 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 2.669820660286868500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.11400000000000002 " "
y[1] (analytic) = -3.326812087844866 " "
y[1] (numeric) = -3.326812087844867 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 2.669758303888735700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.11500000000000002 " "
y[1] (analytic) = -3.326889591648613 " "
y[1] (numeric) = -3.326889591648614 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 2.669696108730784700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.11600000000000002 " "
y[1] (analytic) = -3.3269668981618112 " "
y[1] (numeric) = -3.3269668981618126 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 4.00445111217151430000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.11700000000000002 " "
y[1] (analytic) = -3.3270440073965437 " "
y[1] (numeric) = -3.3270440073965446 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 2.66957220200744140000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.11800000000000002 " "
y[1] (analytic) = -3.327120919364918 " "
y[1] (numeric) = -3.3271209193649187 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 2.669510490378153000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.11900000000000002 " "
y[1] (analytic) = -3.327197634079069 " "
y[1] (numeric) = -3.32719763407907 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 2.669448939861256400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.12000000000000002 " "
y[1] (analytic) = -3.3272741515511597 " "
y[1] (numeric) = -3.3272741515511615 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.33877510084980900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.12100000000000002 " "
y[1] (analytic) = -3.32735047179338 " "
y[1] (numeric) = -3.3273504717933813 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 4.003989483055929700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.12200000000000003 " "
y[1] (analytic) = -3.3274265948179442 " "
y[1] (numeric) = -3.327426594817945 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 2.669265254666634600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.12300000000000003 " "
y[1] (analytic) = -3.3275025206370947 " "
y[1] (numeric) = -3.3275025206370956 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 2.669204348281219400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.12400000000000003 " "
y[1] (analytic) = -3.3275782492631008 " "
y[1] (numeric) = -3.327578249263102 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 4.00371540427402800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.12500000000000003 " "
y[1] (analytic) = -3.32765378070826 " "
y[1] (numeric) = -3.3276537807082605 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.334541509169690200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.12600000000000003 " "
y[1] (analytic) = -3.3277291149848924 " "
y[1] (numeric) = -3.3277291149848933 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 2.66902259471969500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.12700000000000003 " "
y[1] (analytic) = -3.327804252105349 " "
y[1] (numeric) = -3.32780425210535 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 2.66896233195872470000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.12800000000000003 " "
y[1] (analytic) = -3.3278791920820057 " "
y[1] (numeric) = -3.3278791920820066 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 2.668902230024937600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.12900000000000003 " "
y[1] (analytic) = -3.3279539349272658 " "
y[1] (numeric) = -3.327953934927266 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.334421144443420400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.13000000000000003 " "
y[1] (analytic) = -3.328028480653558 " "
y[1] (numeric) = -3.3280284806535585 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.334391254256491200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.13100000000000003 " "
y[1] (analytic) = -3.3281028292733392 " "
y[1] (numeric) = -3.3281028292733397 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.334361444435974400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.13200000000000003 " "
y[1] (analytic) = -3.3281769807990926 " "
y[1] (numeric) = -3.328176980799093 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.33433171496618300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.13300000000000003 " "
y[1] (analytic) = -3.3282509352433283 " "
y[1] (numeric) = -3.3282509352433283 " "
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] = 0.13400000000000004 " "
y[1] (analytic) = -3.328324692618582 " "
y[1] (numeric) = -3.3283246926185823 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.334272497016126300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.13500000000000004 " "
y[1] (analytic) = -3.328398252937417 " "
y[1] (numeric) = -3.328398252937418 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 2.668486017009171000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.13600000000000004 " "
y[1] (analytic) = -3.3284716162124255 " "
y[1] (numeric) = -3.328471616212426 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.334213600281218300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.13700000000000004 " "
y[1] (analytic) = -3.328544782456222 " "
y[1] (numeric) = -3.3285447824562224 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.334184272330436700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.13800000000000004 " "
y[1] (analytic) = -3.328617751681451 " "
y[1] (numeric) = -3.3286177516814512 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.334155024636671000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.13900000000000004 " "
y[1] (analytic) = -3.3286905239007822 " "
y[1] (numeric) = -3.3286905239007827 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.334125857184371700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.14000000000000004 " "
y[1] (analytic) = -3.3287630991269133 " "
y[1] (numeric) = -3.3287630991269137 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.334096769958009000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.14100000000000004 " "
y[1] (analytic) = -3.3288354773725675 " "
y[1] (numeric) = -3.328835477372568 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.334067762942072200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.14200000000000004 " "
y[1] (analytic) = -3.3289076586504955 " "
y[1] (numeric) = -3.328907658650496 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.334038836121071000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.14300000000000004 " "
y[1] (analytic) = -3.3289796429734744 " "
y[1] (numeric) = -3.328979642973475 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.334009989479533800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.14400000000000004 " "
y[1] (analytic) = -3.329051430354308 " "
y[1] (numeric) = -3.329051430354309 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 2.667962446004017400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.14500000000000005 " "
y[1] (analytic) = -3.329123020805828 " "
y[1] (numeric) = -3.3291230208058282 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.333952536673063700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.14600000000000005 " "
y[1] (analytic) = -3.32919441434089 " "
y[1] (numeric) = -3.3291944143408903 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.33392393047728600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.14700000000000005 " "
y[1] (analytic) = -3.3292656109723793 " "
y[1] (numeric) = -3.3292656109723793 " "
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] = 0.14800000000000005 " "
y[1] (analytic) = -3.3293366107132054 " "
y[1] (numeric) = -3.3293366107132063 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 2.667733916847359600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.14900000000000005 " "
y[1] (analytic) = -3.3294074135763077 " "
y[1] (numeric) = -3.3294074135763085 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 2.667677185070246000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.15000000000000005 " "
y[1] (analytic) = -3.329478019574649 " "
y[1] (numeric) = -3.3294780195746503 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 4.00143092015483300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.15100000000000005 " "
y[1] (analytic) = -3.329548428721221 " "
y[1] (numeric) = -3.3295484287212225 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 4.001346302873484700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.15200000000000005 " "
y[1] (analytic) = -3.329618641029042 " "
y[1] (numeric) = -3.3296186410290427 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 2.667507950476958000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.15300000000000005 " "
y[1] (analytic) = -3.3296886565111543 " "
y[1] (numeric) = -3.3296886565111556 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 4.0011777886348600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.15400000000000005 " "
y[1] (analytic) = -3.329758475180631 " "
y[1] (numeric) = -3.329758475180632 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 4.00109389158598300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.15500000000000005 " "
y[1] (analytic) = -3.329828097050569 " "
y[1] (numeric) = -3.3298280970505703 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 4.00101023452309200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.15600000000000006 " "
y[1] (analytic) = -3.3298975221340927 " "
y[1] (numeric) = -3.329897522134094 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 4.00092681740053300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.15700000000000006 " "
y[1] (analytic) = -3.3299667504443535 " "
y[1] (numeric) = -3.3299667504443553 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.33445818689694700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.15800000000000006 " "
y[1] (analytic) = -3.33003578199453 " "
y[1] (numeric) = -3.3300357819945314 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 4.00076070279408300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.15900000000000006 " "
y[1] (analytic) = -3.330104616797826 " "
y[1] (numeric) = -3.3301046167978274 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 4.00067800521917100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.16000000000000006 " "
y[1] (analytic) = -3.3301732548674736 " "
y[1] (numeric) = -3.330173254867475 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 4.00059554740255230000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.16100000000000006 " "
y[1] (analytic) = -3.33024169621673 " "
y[1] (numeric) = -3.3302416962167314 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 4.00051332929886150000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.16200000000000006 " "
y[1] (analytic) = -3.3303099408588808 " "
y[1] (numeric) = -3.330309940858882 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 4.000431350862792600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.16300000000000006 " "
y[1] (analytic) = -3.330377988807237 " "
y[1] (numeric) = -3.3303779888072382 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 4.00034961204909560000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.16400000000000006 " "
y[1] (analytic) = -3.330445840075137 " "
y[1] (numeric) = -3.330445840075138 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 2.666845408541720400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.16500000000000006 " "
y[1] (analytic) = -3.3305134946759454 " "
y[1] (numeric) = -3.3305134946759467 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 4.000186853108115000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.16600000000000006 " "
y[1] (analytic) = -3.3305809526230545 " "
y[1] (numeric) = -3.3305809526230554 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 2.6667372219270800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.16700000000000007 " "
y[1] (analytic) = -3.330648213929882 " "
y[1] (numeric) = -3.3306482139298828 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 2.66668336807672100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.16800000000000007 " "
y[1] (analytic) = -3.3307152786098726 " "
y[1] (numeric) = -3.3307152786098735 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 2.666629673824358300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.16900000000000007 " "
y[1] (analytic) = -3.330782146676498 " "
y[1] (numeric) = -3.3307821466764995 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.999864208710088000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.17000000000000007 " "
y[1] (analytic) = -3.330848818143258 " "
y[1] (numeric) = -3.330848818143259 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 2.666522763993923000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.17100000000000007 " "
y[1] (analytic) = -3.3309152930236756 " "
y[1] (numeric) = -3.330915293023677 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.99970432253414330000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.17200000000000007 " "
y[1] (analytic) = -3.330981571331304 " "
y[1] (numeric) = -3.3309815713313053 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.999624738295133300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.17300000000000007 " "
y[1] (analytic) = -3.3310476530797213 " "
y[1] (numeric) = -3.3310476530797226 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.99954539322918200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.17400000000000007 " "
y[1] (analytic) = -3.331113538282532 " "
y[1] (numeric) = -3.331113538282534 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.33262171638890200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.17500000000000007 " "
y[1] (analytic) = -3.331179226953369 " "
y[1] (numeric) = -3.331179226953371 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.33251656058407600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.17600000000000007 " "
y[1] (analytic) = -3.3312447191058903 " "
y[1] (numeric) = -3.331244719105892 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.33241172349843600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.17700000000000007 " "
y[1] (analytic) = -3.331310014753781 " "
y[1] (numeric) = -3.331310014753783 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.332307205072723000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.17800000000000007 " "
y[1] (analytic) = -3.3313751139107532 " "
y[1] (numeric) = -3.331375113910755 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.332203005247756000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.17900000000000008 " "
y[1] (analytic) = -3.331440016590545 " "
y[1] (numeric) = -3.331440016590547 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.332099123964433000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.18000000000000008 " "
y[1] (analytic) = -3.3315047228069226 " "
y[1] (numeric) = -3.3315047228069243 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.33199556116372700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.18100000000000008 " "
y[1] (analytic) = -3.331569232573677 " "
y[1] (numeric) = -3.331569232573679 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.33189231678668600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.18200000000000008 " "
y[1] (analytic) = -3.331633545904628 " "
y[1] (numeric) = -3.331633545904629 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.99884204308082600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.18300000000000008 " "
y[1] (analytic) = -3.331697662813619 " "
y[1] (numeric) = -3.3316976628136206 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.33168678306817600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.18400000000000008 " "
y[1] (analytic) = -3.3317615833145235 " "
y[1] (numeric) = -3.331761583314525 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.998688370206890000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.18500000000000008 " "
y[1] (analytic) = -3.3318253074212394 " "
y[1] (numeric) = -3.331825307421241 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.3314825223388210000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.18600000000000008 " "
y[1] (analytic) = -3.3318888351476925 " "
y[1] (numeric) = -3.3318888351476943 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.33138086919850700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.18700000000000008 " "
y[1] (analytic) = -3.3319521665078344 " "
y[1] (numeric) = -3.3319521665078367 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.6640994176621890000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.18800000000000008 " "
y[1] (analytic) = -3.3320153015156446 " "
y[1] (numeric) = -3.332015301515647 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.6639731463426700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.18900000000000008 " "
y[1] (analytic) = -3.332078240185128 " "
y[1] (numeric) = -3.33207824018513 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.66384727246664800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.19000000000000009 " "
y[1] (analytic) = -3.332140982530316 " "
y[1] (numeric) = -3.3321409825303183 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.66372179596128800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1910000000000001 " "
y[1] (analytic) = -3.3322035285652682 " "
y[1] (numeric) = -3.3322035285652705 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.66359671675385600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1920000000000001 " "
y[1] (analytic) = -3.332265878304069 " "
y[1] (numeric) = -3.3322658783040717 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.99616644172604400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1930000000000001 " "
y[1] (analytic) = -3.3323280317608317 " "
y[1] (numeric) = -3.332328031760834 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.66334774994228200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1940000000000001 " "
y[1] (analytic) = -3.3323899889496937 " "
y[1] (numeric) = -3.332389988949696 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.66322386219314000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1950000000000001 " "
y[1] (analytic) = -3.332451749884821 " "
y[1] (numeric) = -3.3324517498848234 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.66310037145191300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1960000000000001 " "
y[1] (analytic) = -3.332513314580406 " "
y[1] (numeric) = -3.332513314580408 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.66297727764633900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1970000000000001 " "
y[1] (analytic) = -3.332574683050666 " "
y[1] (numeric) = -3.3325746830506686 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.99542549684509600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1980000000000001 " "
y[1] (analytic) = -3.332635855309848 " "
y[1] (numeric) = -3.3326358553098503 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.66273228055355500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1990000000000001 " "
y[1] (analytic) = -3.332696831372223 " "
y[1] (numeric) = -3.332696831372225 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.66261037712228400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2000000000000001 " "
y[1] (analytic) = -3.33275761125209 " "
y[1] (numeric) = -3.332757611252092 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.66248887033854700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2010000000000001 " "
y[1] (analytic) = -3.332818194963774 " "
y[1] (numeric) = -3.3328181949637763 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.66236776013054600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2020000000000001 " "
y[1] (analytic) = -3.3328785825216274 " "
y[1] (numeric) = -3.3328785825216296 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.66224704642658400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2030000000000001 " "
y[1] (analytic) = -3.3329387739400285 " "
y[1] (numeric) = -3.3329387739400307 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.66212672915505200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2040000000000001 " "
y[1] (analytic) = -3.3329987692333827 " "
y[1] (numeric) = -3.332998769233385 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.6620068082444400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2050000000000001 " "
y[1] (analytic) = -3.3330585684161216 " "
y[1] (numeric) = -3.3330585684161242 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.99426474034799200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2060000000000001 " "
y[1] (analytic) = -3.3331181715027047 " "
y[1] (numeric) = -3.333118171502707 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.66176815522038900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2070000000000001 " "
y[1] (analytic) = -3.333177578507616 " "
y[1] (numeric) = -3.3331775785076183 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.66164942296439900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2080000000000001 " "
y[1] (analytic) = -3.333236789445368 " "
y[1] (numeric) = -3.3332367894453703 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.66153108678421500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2090000000000001 " "
y[1] (analytic) = -3.3332958043304997 " "
y[1] (numeric) = -3.3332958043305014 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.329130517287036000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2100000000000001 " "
y[1] (analytic) = -3.3333546231775752 " "
y[1] (numeric) = -3.333354623177577 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.329036481893754000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2110000000000001 " "
y[1] (analytic) = -3.333413246001187 " "
y[1] (numeric) = -3.333413246001189 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.32894276319083700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2120000000000001 " "
y[1] (analytic) = -3.3334716728159535 " "
y[1] (numeric) = -3.3334716728159552 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.32884936112167800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2130000000000001 " "
y[1] (analytic) = -3.3335299036365194 " "
y[1] (numeric) = -3.333529903636521 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.3287562756297400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2140000000000001 " "
y[1] (analytic) = -3.3335879384775566 " "
y[1] (numeric) = -3.3335879384775584 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.32866350665856200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2150000000000001 " "
y[1] (analytic) = -3.333645777353764 " "
y[1] (numeric) = -3.3336457773537655 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.996428290613819000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2160000000000001 " "
y[1] (analytic) = -3.3337034202798663 " "
y[1] (numeric) = -3.3337034202798677 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.99635918853976300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2170000000000001 " "
y[1] (analytic) = -3.3337608672706143 " "
y[1] (numeric) = -3.333760867270616 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.32838709830610300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2180000000000001 " "
y[1] (analytic) = -3.333818118340788 " "
y[1] (numeric) = -3.333818118340789 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.99622169614113730000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2190000000000001 " "
y[1] (analytic) = -3.33387517350519 " "
y[1] (numeric) = -3.333875173505192 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.328204407643173000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2200000000000001 " "
y[1] (analytic) = -3.3339320327786535 " "
y[1] (numeric) = -3.3339320327786557 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.66014192076882400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2210000000000001 " "
y[1] (analytic) = -3.3339886961760365 " "
y[1] (numeric) = -3.3339886961760388 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.66002872714320800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.22200000000000011 " "
y[1] (analytic) = -3.3340451637122235 " "
y[1] (numeric) = -3.3340451637122257 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.65991592860728800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.22300000000000011 " "
y[1] (analytic) = -3.334101435402126 " "
y[1] (numeric) = -3.334101435402128 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.65980352509132800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.22400000000000012 " "
y[1] (analytic) = -3.334157511260682 " "
y[1] (numeric) = -3.3341575112606843 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.65969151652567800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.22500000000000012 " "
y[1] (analytic) = -3.3342133913028564 " "
y[1] (numeric) = -3.3342133913028587 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.65957990284078900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.22600000000000012 " "
y[1] (analytic) = -3.33426907554364 " "
y[1] (numeric) = -3.3342690755436424 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.65946868396719800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.22700000000000012 " "
y[1] (analytic) = -3.3343245639980514 " "
y[1] (numeric) = -3.3343245639980537 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.65935785983553900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.22800000000000012 " "
y[1] (analytic) = -3.3343798566811342 " "
y[1] (numeric) = -3.334379856681137 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.99109691645184500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.22900000000000012 " "
y[1] (analytic) = -3.3344349536079605 " "
y[1] (numeric) = -3.334434953607963 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.99096487462521200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.23000000000000012 " "
y[1] (analytic) = -3.3344898547936275 " "
y[1] (numeric) = -3.33448985479363 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.99083330623983700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.23100000000000012 " "
y[1] (analytic) = -3.33454456025326 " "
y[1] (numeric) = -3.3345445602532626 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.99070221121292600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.23200000000000012 " "
y[1] (analytic) = -3.3345990700020085 " "
y[1] (numeric) = -3.334599070002011 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.9905715894617900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.23300000000000012 " "
y[1] (analytic) = -3.3346533840550516 " "
y[1] (numeric) = -3.334653384055054 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.65870120075321100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.23400000000000012 " "
y[1] (analytic) = -3.3347075024275923 " "
y[1] (numeric) = -3.3347075024275945 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.65859313788054300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.23500000000000013 " "
y[1] (analytic) = -3.334761425134862 " "
y[1] (numeric) = -3.334761425134864 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.65848546919819200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.23600000000000013 " "
y[1] (analytic) = -3.334815152192118 " "
y[1] (numeric) = -3.33481515219212 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.6583781946376200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.23700000000000013 " "
y[1] (analytic) = -3.3348686836146446 " "
y[1] (numeric) = -3.334868683614647 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.6582713141303800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.23800000000000013 " "
y[1] (analytic) = -3.3349220194177525 " "
y[1] (numeric) = -3.3349220194177547 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.65816482760812200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.23900000000000013 " "
y[1] (analytic) = -3.3349751596167794 " "
y[1] (numeric) = -3.334975159616781 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.326446988002066000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.24000000000000013 " "
y[1] (analytic) = -3.3350281042270877 " "
y[1] (numeric) = -3.33502810422709 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.65795303624559500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.24100000000000013 " "
y[1] (analytic) = -3.33508085326407 " "
y[1] (numeric) = -3.3350808532640714 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.99470863876144700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.24200000000000013 " "
y[1] (analytic) = -3.3351334067431413 " "
y[1] (numeric) = -3.335133406743143 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.3261942560040400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.24300000000000013 " "
y[1] (analytic) = -3.3351857646797463 " "
y[1] (numeric) = -3.335185764679748 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.326110641908490000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.24400000000000013 " "
y[1] (analytic) = -3.335237927089355 " "
y[1] (numeric) = -3.335237927089357 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.65753417834296800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.24500000000000013 " "
y[1] (analytic) = -3.335289893987465 " "
y[1] (numeric) = -3.3352898939874667 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.32594435824751900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.24600000000000014 " "
y[1] (analytic) = -3.335341665389599 " "
y[1] (numeric) = -3.335341665389601 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.325861688573832000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.24700000000000014 " "
y[1] (analytic) = -3.335393241311307 " "
y[1] (numeric) = -3.3353932413113094 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.65722416699911100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.24800000000000014 " "
y[1] (analytic) = -3.335444621768167 " "
y[1] (numeric) = -3.335444621768169 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.3256972932699400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.24900000000000014 " "
y[1] (analytic) = -3.3354958067757807 " "
y[1] (numeric) = -3.3354958067757825 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.3256155675319100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2500000000000001 " "
y[1] (analytic) = -3.3355467963497785 " "
y[1] (numeric) = -3.3355467963497802 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.32553415633139500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2510000000000001 " "
y[1] (analytic) = -3.3355975905058166 " "
y[1] (numeric) = -3.3355975905058184 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.325453059614664000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2520000000000001 " "
y[1] (analytic) = -3.3356481892595786 " "
y[1] (numeric) = -3.3356481892595804 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.32537227732806100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2530000000000001 " "
y[1] (analytic) = -3.3356985926267737 " "
y[1] (numeric) = -3.3356985926267755 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.32529180941799900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2540000000000001 " "
y[1] (analytic) = -3.335748800623138 " "
y[1] (numeric) = -3.33574880062314 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.32521165583096700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2550000000000001 " "
y[1] (analytic) = -3.335798813264435 " "
y[1] (numeric) = -3.3357988132644367 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.32513181651352600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2560000000000001 " "
y[1] (analytic) = -3.3358486305664528 " "
y[1] (numeric) = -3.335848630566455 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.65631536426538700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2570000000000001 " "
y[1] (analytic) = -3.3358982525450087 " "
y[1] (numeric) = -3.3358982525450105 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.324973080474023000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2580000000000001 " "
y[1] (analytic) = -3.335947679215944 " "
y[1] (numeric) = -3.335947679215946 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.65611772955680700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2590000000000001 " "
y[1] (analytic) = -3.3359969105951284 " "
y[1] (numeric) = -3.3359969105951306 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.65601950109178800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2600000000000001 " "
y[1] (analytic) = -3.3360459466984578 " "
y[1] (numeric) = -3.33604594669846 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.65592166513112300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2610000000000001 " "
y[1] (analytic) = -3.3360947875418545 " "
y[1] (numeric) = -3.3360947875418563 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.32465937728684700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2620000000000001 " "
y[1] (analytic) = -3.3361434331412667 " "
y[1] (numeric) = -3.3361434331412685 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.32458173636634500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2630000000000001 " "
y[1] (analytic) = -3.33619188351267 " "
y[1] (numeric) = -3.336191883512672 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.324504409290535000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2640000000000001 " "
y[1] (analytic) = -3.336240138672067 " "
y[1] (numeric) = -3.3362401386720686 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.32442739600662800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2650000000000001 " "
y[1] (analytic) = -3.3362881986354855 " "
y[1] (numeric) = -3.336288198635487 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.99326302234643400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2660000000000001 " "
y[1] (analytic) = -3.3363360634189805 " "
y[1] (numeric) = -3.3363360634189823 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.32427431060374500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2670000000000001 " "
y[1] (analytic) = -3.3363837330386343 " "
y[1] (numeric) = -3.336383733038636 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.324198238379556000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2680000000000001 " "
y[1] (analytic) = -3.3364312075105547 " "
y[1] (numeric) = -3.3364312075105564 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.324122479736849000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.26900000000000013 " "
y[1] (analytic) = -3.3364784868508766 " "
y[1] (numeric) = -3.3364784868508783 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.324047034623198000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.27000000000000013 " "
y[1] (analytic) = -3.3365255710757613 " "
y[1] (numeric) = -3.336525571075763 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.323971902986250000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.27100000000000013 " "
y[1] (analytic) = -3.3365724602013973 " "
y[1] (numeric) = -3.3365724602013986 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.992922813580292000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.27200000000000013 " "
y[1] (analytic) = -3.3366191542439987 " "
y[1] (numeric) = -3.3366191542439996 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 2.66191128996670300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.27300000000000013 " "
y[1] (analytic) = -3.336665653219806 " "
y[1] (numeric) = -3.336665653219807 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.99281129130987460000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.27400000000000013 " "
y[1] (analytic) = -3.336711957145087 " "
y[1] (numeric) = -3.3367119571450883 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.99275588262070100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.27500000000000013 " "
y[1] (analytic) = -3.3367580660361362 " "
y[1] (numeric) = -3.3367580660361376 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.99270070884353960000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.27600000000000013 " "
y[1] (analytic) = -3.336803979909275 " "
y[1] (numeric) = -3.3368039799092757 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 2.66176384662629830000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.27700000000000014 " "
y[1] (analytic) = -3.3368496987808487 " "
y[1] (numeric) = -3.33684969878085 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.99259106586953900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.27800000000000014 " "
y[1] (analytic) = -3.3368952226672324 " "
y[1] (numeric) = -3.336895222667234 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.32338212879330600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.27900000000000014 " "
y[1] (analytic) = -3.336940551584827 " "
y[1] (numeric) = -3.3369405515848283 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.992482362076988400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.28000000000000014 " "
y[1] (analytic) = -3.336985685550058 " "
y[1] (numeric) = -3.3369856855500597 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.32323781636912100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.28100000000000014 " "
y[1] (analytic) = -3.33703062457938 " "
y[1] (numeric) = -3.3370306245793815 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.992374597155863000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.28200000000000014 " "
y[1] (analytic) = -3.3370753686892716 " "
y[1] (numeric) = -3.337075368689274 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.6538684444590600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.28300000000000014 " "
y[1] (analytic) = -3.337119917896241 " "
y[1] (numeric) = -3.337119917896243 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.32302369439599400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.28400000000000014 " "
y[1] (analytic) = -3.3371642722168207 " "
y[1] (numeric) = -3.3371642722168224 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.32295294597603700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.28500000000000014 " "
y[1] (analytic) = -3.3372084316675696 " "
y[1] (numeric) = -3.3372084316675714 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.322882510256103000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.28600000000000014 " "
y[1] (analytic) = -3.3372523962650744 " "
y[1] (numeric) = -3.337252396265076 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.322812387184982000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.28700000000000014 " "
y[1] (analytic) = -3.337296166025948 " "
y[1] (numeric) = -3.3372961660259497 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.322742576711542000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.28800000000000014 " "
y[1] (analytic) = -3.3373397409668293 " "
y[1] (numeric) = -3.337339740966831 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.322673078784718000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.28900000000000015 " "
y[1] (analytic) = -3.3373831211043843 " "
y[1] (numeric) = -3.3373831211043856 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.99195292001513700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.29000000000000015 " "
y[1] (analytic) = -3.337426306455305 " "
y[1] (numeric) = -3.3374263064553062 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.99190126527526300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.29100000000000015 " "
y[1] (analytic) = -3.3374692970363102 " "
y[1] (numeric) = -3.3374692970363116 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.99184984483077700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.29200000000000015 " "
y[1] (analytic) = -3.3375120928641455 " "
y[1] (numeric) = -3.337512092864147 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.991798658643596600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.29300000000000015 " "
y[1] (analytic) = -3.3375546939555822 " "
y[1] (numeric) = -3.337554693955584 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.32233027556758600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.29400000000000015 " "
y[1] (analytic) = -3.33759710032742 " "
y[1] (numeric) = -3.337597100327421 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.991696988889077400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.29500000000000015 " "
y[1] (analytic) = -3.3376393119964822 " "
y[1] (numeric) = -3.3376393119964836 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.991646505245837000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.29600000000000015 " "
y[1] (analytic) = -3.337681328979621 " "
y[1] (numeric) = -3.3376813289796226 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.99159625570809600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.29700000000000015 " "
y[1] (analytic) = -3.337723151293715 " "
y[1] (numeric) = -3.337723151293716 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.991546240238036400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.29800000000000015 " "
y[1] (analytic) = -3.3377647789556675 " "
y[1] (numeric) = -3.337764778955669 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.99149645879789300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.29900000000000015 " "
y[1] (analytic) = -3.337806211982411 " "
y[1] (numeric) = -3.3378062119824117 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 2.66096460756663500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.30000000000000016 " "
y[1] (analytic) = -3.3378474503909015 " "
y[1] (numeric) = -3.3378474503909024 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 2.660931731904371000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.30100000000000016 " "
y[1] (analytic) = -3.3378884941981233 " "
y[1] (numeric) = -3.3378884941981246 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.991348518280102000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.30200000000000016 " "
y[1] (analytic) = -3.337929343421088 " "
y[1] (numeric) = -3.3379293434210893 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.99129967258303100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.30300000000000016 " "
y[1] (analytic) = -3.3379699980768316 " "
y[1] (numeric) = -3.337969998076833 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.991251060727845000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.30400000000000016 " "
y[1] (analytic) = -3.3380104581824184 " "
y[1] (numeric) = -3.3380104581824197 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.991202682677098500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.30500000000000016 " "
y[1] (analytic) = -3.338050723754938 " "
y[1] (numeric) = -3.3380507237549395 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.99115453839339500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.30600000000000016 " "
y[1] (analytic) = -3.338090794811507 " "
y[1] (numeric) = -3.338090794811509 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.32147550378586000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.30700000000000016 " "
y[1] (analytic) = -3.3381306713692687 " "
y[1] (numeric) = -3.338130671369271 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.65176491829634700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.30800000000000016 " "
y[1] (analytic) = -3.338170353445393 " "
y[1] (numeric) = -3.338170353445395 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.65168584628566400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.30900000000000016 " "
y[1] (analytic) = -3.3382098410570755 " "
y[1] (numeric) = -3.3382098410570777 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.65160716363830600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.31000000000000016 " "
y[1] (analytic) = -3.338249134221539 " "
y[1] (numeric) = -3.3382491342215412 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.65152887029238700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.31100000000000017 " "
y[1] (analytic) = -3.3382882329560326 " "
y[1] (numeric) = -3.338288232956035 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.65145096618611200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.31200000000000017 " "
y[1] (analytic) = -3.338327137277832 " "
y[1] (numeric) = -3.338327137277834 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.65137345125777200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.31300000000000017 " "
y[1] (analytic) = -3.3383658472042397 " "
y[1] (numeric) = -3.3383658472042415 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.32103706035659600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.31400000000000017 " "
y[1] (analytic) = -3.3384043627525832 " "
y[1] (numeric) = -3.338404362752585 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.320975670950800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.31500000000000017 " "
y[1] (analytic) = -3.338442683940219 " "
y[1] (numeric) = -3.33844268394022 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.990685944554754000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.31600000000000017 " "
y[1] (analytic) = -3.3384808107845267 " "
y[1] (numeric) = -3.3384808107845285 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.32085382567412400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.31700000000000017 " "
y[1] (analytic) = -3.3385187433029166 " "
y[1] (numeric) = -3.3385187433029184 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.32079336970514300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.31800000000000017 " "
y[1] (analytic) = -3.338556481512822 " "
y[1] (numeric) = -3.338556481512824 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.32073322478377900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3190000000000002 " "
y[1] (analytic) = -3.3385940254317044 " "
y[1] (numeric) = -3.338594025431706 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.320673390861157000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3200000000000002 " "
y[1] (analytic) = -3.338631375077051 " "
y[1] (numeric) = -3.338631375077053 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.320613867888468000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3210000000000002 " "
y[1] (analytic) = -3.3386685304663763 " "
y[1] (numeric) = -3.338668530466378 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.320554655816977000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3220000000000002 " "
y[1] (analytic) = -3.3387054916172203 " "
y[1] (numeric) = -3.3387054916172225 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.6506196932475200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3230000000000002 " "
y[1] (analytic) = -3.338742258547151 " "
y[1] (numeric) = -3.338742258547153 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.320437164182986000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3240000000000002 " "
y[1] (analytic) = -3.3387788312737605 " "
y[1] (numeric) = -3.3387788312737623 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.32037888452336200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3250000000000002 " "
y[1] (analytic) = -3.3388152098146695 " "
y[1] (numeric) = -3.3388152098146713 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.32032091557068300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3260000000000002 " "
y[1] (analytic) = -3.3388513941875244 " "
y[1] (numeric) = -3.338851394187526 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.32026325727656100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3270000000000002 " "
y[1] (analytic) = -3.3388873844099978 " "
y[1] (numeric) = -3.3388873844099995 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.320205909592677000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3280000000000002 " "
y[1] (analytic) = -3.3389231804997896 " "
y[1] (numeric) = -3.338923180499791 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.990111654353084600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3290000000000002 " "
y[1] (analytic) = -3.3389587824746254 " "
y[1] (numeric) = -3.3389587824746267 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.99006910939701700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3300000000000002 " "
y[1] (analytic) = -3.338994190352257 " "
y[1] (numeric) = -3.3389941903522584 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 3.99002679729022300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3310000000000002 " "
y[1] (analytic) = -3.339029404150464 " "
y[1] (numeric) = -3.3390294041504656 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.319979623995561000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3320000000000002 " "
y[1] (analytic) = -3.3390644238870513 " "
y[1] (numeric) = -3.339064423887053 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.319923828640505000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3330000000000002 " "
y[1] (analytic) = -3.3390992495798506 " "
y[1] (numeric) = -3.3390992495798524 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.3198683436072300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3340000000000002 " "
y[1] (analytic) = -3.33913388124672 " "
y[1] (numeric) = -3.339133881246722 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.64976646105987600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3350000000000002 " "
y[1] (analytic) = -3.3391683189055446 " "
y[1] (numeric) = -3.3391683189055468 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.64969788039344100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3360000000000002 " "
y[1] (analytic) = -3.339202562574235 " "
y[1] (numeric) = -3.339202562574237 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.64962968745011400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3370000000000002 " "
y[1] (analytic) = -3.3392366122707293 " "
y[1] (numeric) = -3.339236612270731 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.31964950573628900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3380000000000002 " "
y[1] (analytic) = -3.339270468012991 " "
y[1] (numeric) = -3.3392704680129928 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.31959557159578900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3390000000000002 " "
y[1] (analytic) = -3.3393041298190105 " "
y[1] (numeric) = -3.3393041298190127 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.6494274343638790000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3400000000000002 " "
y[1] (analytic) = -3.3393375977068054 " "
y[1] (numeric) = -3.3393375977068076 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.64936079171851600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3410000000000002 " "
y[1] (analytic) = -3.3393708716944186 " "
y[1] (numeric) = -3.339370871694421 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.64929453649945800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3420000000000002 " "
y[1] (analytic) = -3.33940395179992 " "
y[1] (numeric) = -3.3394039517999223 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.64922866864760400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3430000000000002 " "
y[1] (analytic) = -3.339436838041406 " "
y[1] (numeric) = -3.3394368380414083 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.64916318810393800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3440000000000002 " "
y[1] (analytic) = -3.339469530436999 " "
y[1] (numeric) = -3.3394695304370017 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97891771377143700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3450000000000002 " "
y[1] (analytic) = -3.339502029004849 " "
y[1] (numeric) = -3.3395020290048514 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.64903338870553900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3460000000000002 " "
y[1] (analytic) = -3.3395343337631305 " "
y[1] (numeric) = -3.339534333763133 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97876288367984200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3470000000000002 " "
y[1] (analytic) = -3.339566444730047 " "
y[1] (numeric) = -3.3395664447300493 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.64890513783384900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3480000000000002 " "
y[1] (analytic) = -3.339598361923825 " "
y[1] (numeric) = -3.339598361923828 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97860991153867500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3490000000000002 " "
y[1] (analytic) = -3.3396300853627214 " "
y[1] (numeric) = -3.339630085362724 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97853412202380800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3500000000000002 " "
y[1] (analytic) = -3.339661615065017 " "
y[1] (numeric) = -3.3396616150650194 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.64871566398826600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3510000000000002 " "
y[1] (analytic) = -3.339692951049019 " "
y[1] (numeric) = -3.3396929510490216 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97838393575501700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3520000000000002 " "
y[1] (analytic) = -3.339724093333062 " "
y[1] (numeric) = -3.3397240933330647 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97830953886120500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3530000000000002 " "
y[1] (analytic) = -3.3397550419355073 " "
y[1] (numeric) = -3.33975504193551 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97823560603469500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3540000000000002 " "
y[1] (analytic) = -3.3397857968747418 " "
y[1] (numeric) = -3.339785796874744 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.64846844767149800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3550000000000002 " "
y[1] (analytic) = -3.339816358169178 " "
y[1] (numeric) = -3.3398163581691804 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.6484076102541100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3560000000000002 " "
y[1] (analytic) = -3.3398467258372566 " "
y[1] (numeric) = -3.3398467258372593 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97801659126261600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3570000000000002 " "
y[1] (analytic) = -3.3398768998974444 " "
y[1] (numeric) = -3.339876899897447 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97794451400946500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3580000000000002 " "
y[1] (analytic) = -3.3399068803682344 " "
y[1] (numeric) = -3.3399068803682366 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.64822741706350400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3590000000000002 " "
y[1] (analytic) = -3.3399366672681445 " "
y[1] (numeric) = -3.339936667268147 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.9778017505936590000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3600000000000002 " "
y[1] (analytic) = -3.339966260615722 " "
y[1] (numeric) = -3.3399662606157245 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97773106429275500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3610000000000002 " "
y[1] (analytic) = -3.3399956604295378 " "
y[1] (numeric) = -3.3399956604295404 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97766084150452100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3620000000000002 " "
y[1] (analytic) = -3.340024866728191 " "
y[1] (numeric) = -3.3400248667281938 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97759108216008800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3630000000000002 " "
y[1] (analytic) = -3.340053879530306 " "
y[1] (numeric) = -3.340053879530309 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 9.30710875055580700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3640000000000002 " "
y[1] (analytic) = -3.340082698854535 " "
y[1] (numeric) = -3.340082698854538 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 9.30702844578227400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3650000000000002 " "
y[1] (analytic) = -3.3401113247195555 " "
y[1] (numeric) = -3.340111324719558 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97738458410243800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3660000000000002 " "
y[1] (analytic) = -3.340139757144071 " "
y[1] (numeric) = -3.340139757144074 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.9773166778465600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3670000000000002 " "
y[1] (analytic) = -3.3401679961468127 " "
y[1] (numeric) = -3.3401679961468154 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97724923469166600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3680000000000002 " "
y[1] (analytic) = -3.3401960417465375 " "
y[1] (numeric) = -3.34019604174654 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97718225456949800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3690000000000002 " "
y[1] (analytic) = -3.340223893962029 " "
y[1] (numeric) = -3.3402238939620315 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.977115737411900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3700000000000002 " "
y[1] (analytic) = -3.340251552812096 " "
y[1] (numeric) = -3.340251552812099 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 9.30655796367595400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3710000000000002 " "
y[1] (analytic) = -3.340279018315576 " "
y[1] (numeric) = -3.340279018315579 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 9.30648144033801300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3720000000000002 " "
y[1] (analytic) = -3.3403062904913314 " "
y[1] (numeric) = -3.340306290491334 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97691896304648300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3730000000000002 " "
y[1] (analytic) = -3.34033336935825 " "
y[1] (numeric) = -3.340333369358253 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 9.3063300132455700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3740000000000002 " "
y[1] (analytic) = -3.340360254935249 " "
y[1] (numeric) = -3.3403602549352516 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97679009371408800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3750000000000002 " "
y[1] (analytic) = -3.340386947241268 " "
y[1] (numeric) = -3.3403869472412713 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 9.30618074507135700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3760000000000002 " "
y[1] (analytic) = -3.3404134462952775 " "
y[1] (numeric) = -3.3404134462952806 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 9.30610692038164500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3770000000000002 " "
y[1] (analytic) = -3.340439752116271 " "
y[1] (numeric) = -3.3404397521162736 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.9766002587303400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3780000000000002 " "
y[1] (analytic) = -3.340465864723269 " "
y[1] (numeric) = -3.3404658647232717 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97653790520356500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3790000000000002 " "
y[1] (analytic) = -3.3404917841353194 " "
y[1] (numeric) = -3.340491784135322 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97647601396536900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3800000000000002 " "
y[1] (analytic) = -3.3405175103714964 " "
y[1] (numeric) = -3.340517510371499 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.9764145849487100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3810000000000002 " "
y[1] (analytic) = -3.340543043450899 " "
y[1] (numeric) = -3.340543043450902 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97635361808664700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.38200000000000023 " "
y[1] (analytic) = -3.340568383392655 " "
y[1] (numeric) = -3.3405683833926574 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.6469109277602800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.38300000000000023 " "
y[1] (analytic) = -3.3405935302159167 " "
y[1] (numeric) = -3.340593530215919 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.64686089213253200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.38400000000000023 " "
y[1] (analytic) = -3.3406184839398634 " "
y[1] (numeric) = -3.340618483939865 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.317448993173408000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.38500000000000023 " "
y[1] (analytic) = -3.3406432445837 " "
y[1] (numeric) = -3.340643244583702 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.64676197570751900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.38600000000000023 " "
y[1] (analytic) = -3.34066781216666 " "
y[1] (numeric) = -3.340667812166662 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.64671309479943900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.38700000000000023 " "
y[1] (analytic) = -3.340692186708001 " "
y[1] (numeric) = -3.340692186708003 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.6466645986872400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.38800000000000023 " "
y[1] (analytic) = -3.3407163682270076 " "
y[1] (numeric) = -3.34071636822701 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.64661648731572200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.38900000000000023 " "
y[1] (analytic) = -3.3407403567429914 " "
y[1] (numeric) = -3.3407403567429936 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.64656876062977300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.39000000000000024 " "
y[1] (analytic) = -3.3407641522752898 " "
y[1] (numeric) = -3.340764152275292 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.64652141857436000000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.39100000000000024 " "
y[1] (analytic) = -3.3407877548432667 " "
y[1] (numeric) = -3.340787754843269 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.64647446109453700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.39200000000000024 " "
y[1] (analytic) = -3.3408111644663125 " "
y[1] (numeric) = -3.3408111644663148 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.64642788813543900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.39300000000000024 " "
y[1] (analytic) = -3.3408343811638432 " "
y[1] (numeric) = -3.340834381163846 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97565803957074300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.39400000000000024 " "
y[1] (analytic) = -3.3408574049553033 " "
y[1] (numeric) = -3.3408574049553055 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.6463358955603800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.39500000000000024 " "
y[1] (analytic) = -3.34088023586016 " "
y[1] (numeric) = -3.340880235860163 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97554857100212900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.39600000000000024 " "
y[1] (analytic) = -3.3409028738979107 " "
y[1] (numeric) = -3.3409028738979134 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97549452849432600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.39700000000000024 " "
y[1] (analytic) = -3.340925319088077 " "
y[1] (numeric) = -3.3409253190880794 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.64620078923642400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.39800000000000024 " "
y[1] (analytic) = -3.3409475714502075 " "
y[1] (numeric) = -3.3409475714502097 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.64615652225420100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.39900000000000024 " "
y[1] (analytic) = -3.340969631003876 " "
y[1] (numeric) = -3.340969631003879 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97533516729318700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.40000000000000024 " "
y[1] (analytic) = -3.340991497768685 " "
y[1] (numeric) = -3.340991497768688 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97528296878310600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.40100000000000025 " "
y[1] (analytic) = -3.3410131717642613 " "
y[1] (numeric) = -3.341013171764264 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97523123110986400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.40200000000000025 " "
y[1] (analytic) = -3.341034653010259 " "
y[1] (numeric) = -3.3410346530102615 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97517995420861700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.40300000000000025 " "
y[1] (analytic) = -3.341055941526358 " "
y[1] (numeric) = -3.3410559415263603 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.64594094834552300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.40400000000000025 " "
y[1] (analytic) = -3.341077037332265 " "
y[1] (numeric) = -3.3410770373322674 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.6458989853860500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.40500000000000025 " "
y[1] (analytic) = -3.3410979404477126 " "
y[1] (numeric) = -3.3410979404477152 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97502888748997200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.40600000000000025 " "
y[1] (analytic) = -3.34111865089246 " "
y[1] (numeric) = -3.341118650892463 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97497945303032100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.40700000000000025 " "
y[1] (analytic) = -3.341139168686294 " "
y[1] (numeric) = -3.341139168686296 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.64577539918330500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.40800000000000025 " "
y[1] (analytic) = -3.341159493849024 " "
y[1] (numeric) = -3.341159493849027 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 9.30402895962711200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.40900000000000025 " "
y[1] (analytic) = -3.3411796264004914 " "
y[1] (numeric) = -3.341179626400494 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97483391209027600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.41000000000000025 " "
y[1] (analytic) = -3.341199566360558 " "
y[1] (numeric) = -3.341199566360561 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 9.30391737221654500000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.41100000000000025 " "
y[1] (analytic) = -3.3412193137491166 " "
y[1] (numeric) = -3.3412193137491193 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97473918618814900000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.41200000000000025 " "
y[1] (analytic) = -3.341238868586083 " "
y[1] (numeric) = -3.341238868586086 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97469251346262100000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.41300000000000026 " "
y[1] (analytic) = -3.341258230891402 " "
y[1] (numeric) = -3.3412582308914045 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.9746463008024200000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.41400000000000026 " "
y[1] (analytic) = -3.3412774006850423 " "
y[1] (numeric) = -3.341277400685045 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97460054814389800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.41500000000000026 " "
y[1] (analytic) = -3.341296377987001 " "
y[1] (numeric) = -3.3412963779870037 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97455525542350300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.41600000000000026 " "
y[1] (analytic) = -3.341315162817301 " "
y[1] (numeric) = -3.341315162817303 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.64542535214815400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.41700000000000026 " "
y[1] (analytic) = -3.34133375519599 " "
y[1] (numeric) = -3.341333755195992 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 6.64538837461949400000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.41800000000000026 " "
y[1] (analytic) = -3.341352155143143 " "
y[1] (numeric) = -3.3413521551431455 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97442213625707300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.41900000000000026 " "
y[1] (analytic) = -3.341370362678863 " "
y[1] (numeric) = -3.3413703626788656 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97437868265566600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.42000000000000026 " "
y[1] (analytic) = -3.341388377823277 " "
y[1] (numeric) = -3.3413883778232796 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97433568867611700000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.42100000000000026 " "
y[1] (analytic) = -3.3414062005965386 " "
y[1] (numeric) = -3.3414062005965417 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 9.30334201329804800000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.42200000000000026 " "
y[1] (analytic) = -3.3414238310188296 " "
y[1] (numeric) = -3.3414238310188327 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 9.30329292588600300000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.42300000000000026 " "
y[1] (analytic) = -3.3414412691103563 " "
y[1] (numeric) = -3.341441269110359 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 7.97420946383952600000000000000E-14 "%"
Correct digits = 16
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.42400000000000027 " "
y[1] (analytic) = -3.3414585148913503 " "
y[1] (numeric) = -3.341458514891354 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.06322244102917420000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.42500000000000027 " "
y[1] (analytic) = -3.341475568382073 " "
y[1] (numeric) = -3.3414755683820765 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.06321701478748460000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.42600000000000027 " "
y[1] (analytic) = -3.341492429602809 " "
y[1] (numeric) = -3.3414924296028126 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.06321164977853890000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.42700000000000027 " "
y[1] (analytic) = -3.3415090985738707 " "
y[1] (numeric) = -3.3415090985738742 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.06320634599402140000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.42800000000000027 " "
y[1] (analytic) = -3.341525575315596 " "
y[1] (numeric) = -3.3415255753155995 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.06320110342562890000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.42900000000000027 " "
y[1] (analytic) = -3.3415418598483497 " "
y[1] (numeric) = -3.3415418598483533 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.06319592206507180000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.43000000000000027 " "
y[1] (analytic) = -3.341557952192523 " "
y[1] (numeric) = -3.3415579521925265 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.06319080190407310000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.43100000000000027 " "
y[1] (analytic) = -3.3415738523685325 " "
y[1] (numeric) = -3.341573852368536 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.06318574293436930000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4320000000000003 " "
y[1] (analytic) = -3.341589560396822 " "
y[1] (numeric) = -3.3415895603968258 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.06318074514770970000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4330000000000003 " "
y[1] (analytic) = -3.3416050762978613 " "
y[1] (numeric) = -3.3416050762978653 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.19607278460283860000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4340000000000003 " "
y[1] (analytic) = -3.341620400092147 " "
y[1] (numeric) = -3.3416204000921503 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.06317093309058470000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4350000000000003 " "
y[1] (analytic) = -3.3416355318002 " "
y[1] (numeric) = -3.3416355318002036 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.06316611880368340000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4360000000000003 " "
y[1] (analytic) = -3.34165047144257 " "
y[1] (numeric) = -3.341650471442574 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.19605653637532240000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4370000000000003 " "
y[1] (analytic) = -3.3416652190398324 " "
y[1] (numeric) = -3.341665219039836 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.06315667367220870000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4380000000000003 " "
y[1] (analytic) = -3.341679774612587 " "
y[1] (numeric) = -3.341679774612591 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.1960460481626871000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4390000000000003 " "
y[1] (analytic) = -3.341694138181462 " "
y[1] (numeric) = -3.341694138181466 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.19604090721049910000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4400000000000003 " "
y[1] (analytic) = -3.341708309767112 " "
y[1] (numeric) = -3.3417083097671156 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.06314296445822770000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4410000000000003 " "
y[1] (analytic) = -3.341722289390216 " "
y[1] (numeric) = -3.3417222893902196 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.06313851694982880000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4420000000000003 " "
y[1] (analytic) = -3.34173607707148 " "
y[1] (numeric) = -3.3417360770714843 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.32891766317835250000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4430000000000003 " "
y[1] (analytic) = -3.3417496728316385 " "
y[1] (numeric) = -3.341749672831642 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.06312980522867890000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4440000000000003 " "
y[1] (analytic) = -3.341763076691448 " "
y[1] (numeric) = -3.341763076691452 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.19601623362469050000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4450000000000003 " "
y[1] (analytic) = -3.3417762886716953 " "
y[1] (numeric) = -3.3417762886716993 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.19601150507870510000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4460000000000003 " "
y[1] (analytic) = -3.3417893087931914 " "
y[1] (numeric) = -3.3417893087931954 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.19600684523522970000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4470000000000003 " "
y[1] (analytic) = -3.3418021370767734 " "
y[1] (numeric) = -3.341802137076778 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.32889139342800140000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4480000000000003 " "
y[1] (analytic) = -3.3418147735433066 " "
y[1] (numeric) = -3.3418147735433106 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.19599773161957050000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4490000000000003 " "
y[1] (analytic) = -3.3418272182136795 " "
y[1] (numeric) = -3.341827218213684 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.32888141981033800000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4500000000000003 " "
y[1] (analytic) = -3.3418394711088104 " "
y[1] (numeric) = -3.3418394711088144 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.19598889270538150000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4510000000000003 " "
y[1] (analytic) = -3.34185153224964 " "
y[1] (numeric) = -3.3418515322496445 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.32887175137644230000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4520000000000003 " "
y[1] (analytic) = -3.341863401657139 " "
y[1] (numeric) = -3.3418634016571436 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.32886703157840300000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4530000000000003 " "
y[1] (analytic) = -3.341875079352302 " "
y[1] (numeric) = -3.3418750793523064 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.32886238804633240000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4540000000000003 " "
y[1] (analytic) = -3.3418865653561505 " "
y[1] (numeric) = -3.341886565356155 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.32885782077027280000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4550000000000003 " "
y[1] (analytic) = -3.341897859689732 " "
y[1] (numeric) = -3.3418978596897366 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.3288533297402830000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4560000000000003 " "
y[1] (analytic) = -3.3419089623741214 " "
y[1] (numeric) = -3.341908962374126 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.32884891494643750000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4570000000000003 " "
y[1] (analytic) = -3.341919873430418 " "
y[1] (numeric) = -3.3419198734304225 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.32884457637882670000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4580000000000003 " "
y[1] (analytic) = -3.3419305928797494 " "
y[1] (numeric) = -3.3419305928797534 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.19595628262480140000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4590000000000003 " "
y[1] (analytic) = -3.3419411207432663 " "
y[1] (numeric) = -3.3419411207432708 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.3288361278827520000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4600000000000003 " "
y[1] (analytic) = -3.3419514570421502 " "
y[1] (numeric) = -3.3419514570421542 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.1959488161410940000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4610000000000003 " "
y[1] (analytic) = -3.3419616017976046 " "
y[1] (numeric) = -3.3419616017976086 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.1959451857557930000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4620000000000003 " "
y[1] (analytic) = -3.3419715550308617 " "
y[1] (numeric) = -3.3419715550308657 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.19594162392972690000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4630000000000003 " "
y[1] (analytic) = -3.341981316763179 " "
y[1] (numeric) = -3.341981316763183 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.1959381306540640000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4640000000000003 " "
y[1] (analytic) = -3.34199088701584 " "
y[1] (numeric) = -3.3419908870158443 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.3288163399110960000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4650000000000003 " "
y[1] (analytic) = -3.3420002658101557 " "
y[1] (numeric) = -3.34200026581016 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.32881261079854570000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4660000000000003 " "
y[1] (analytic) = -3.3420094531674622 " "
y[1] (numeric) = -3.3420094531674667 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.3288089578237650000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4670000000000003 " "
y[1] (analytic) = -3.342018449109122 " "
y[1] (numeric) = -3.3420184491091267 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46168591907470560000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4680000000000003 " "
y[1] (analytic) = -3.3420272536565245 " "
y[1] (numeric) = -3.342027253656529 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.32880188024853160000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4690000000000003 " "
y[1] (analytic) = -3.342035866831084 " "
y[1] (numeric) = -3.3420358668310883 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.32879845562862750000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4700000000000003 " "
y[1] (analytic) = -3.3420442886542423 " "
y[1] (numeric) = -3.3420442886542467 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.3287951071075910000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4710000000000003 " "
y[1] (analytic) = -3.3420525191474666 " "
y[1] (numeric) = -3.342052519147471 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.32879183467573580000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4720000000000003 " "
y[1] (analytic) = -3.342060558332251 " "
y[1] (numeric) = -3.3420605583322556 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.32878863832339180000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4730000000000003 " "
y[1] (analytic) = -3.3420684062301156 " "
y[1] (numeric) = -3.34206840623012 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.32878551804090530000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4740000000000003 " "
y[1] (analytic) = -3.342076062862606 " "
y[1] (numeric) = -3.3420760628626103 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.32878247381863770000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4750000000000003 " "
y[1] (analytic) = -3.3420835282512944 " "
y[1] (numeric) = -3.3420835282512993 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46165745621166380000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4760000000000003 " "
y[1] (analytic) = -3.342090802417781 " "
y[1] (numeric) = -3.3420908024177853 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.32877661351628620000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4770000000000003 " "
y[1] (analytic) = -3.3420978853836885 " "
y[1] (numeric) = -3.3420978853836933 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46165117715870570000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4780000000000003 " "
y[1] (analytic) = -3.34210477717067 " "
y[1] (numeric) = -3.3421047771706744 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.32877105733954800000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4790000000000003 " "
y[1] (analytic) = -3.3421114778004015 " "
y[1] (numeric) = -3.342111477800406 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.3287683932743570000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4800000000000003 " "
y[1] (analytic) = -3.342117987294586 " "
y[1] (numeric) = -3.342117987294591 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46164238573307700000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4810000000000003 " "
y[1] (analytic) = -3.3421243056749548 " "
y[1] (numeric) = -3.342124305674959 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.32876329314261400000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4820000000000003 " "
y[1] (analytic) = -3.342130432963262 " "
y[1] (numeric) = -3.3421304329632666 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.32876085705702360000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4830000000000003 " "
y[1] (analytic) = -3.342136369181291 " "
y[1] (numeric) = -3.3421363691812953 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.32875849694562100000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4840000000000003 " "
y[1] (analytic) = -3.342142114350849 " "
y[1] (numeric) = -3.3421421143508536 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.3287562127989250000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4850000000000003 " "
y[1] (analytic) = -3.3421476684937708 " "
y[1] (numeric) = -3.3421476684937756 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.461629405068220200000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4860000000000003 " "
y[1] (analytic) = -3.3421530316319177 " "
y[1] (numeric) = -3.342153031631922 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.32875187236181470000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4870000000000003 " "
y[1] (analytic) = -3.342158203787175 " "
y[1] (numeric) = -3.34215820378718 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.4616247976577710000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4880000000000003 " "
y[1] (analytic) = -3.3421631849814575 " "
y[1] (numeric) = -3.3421631849814624 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46162261923718450000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4890000000000003 " "
y[1] (analytic) = -3.3421679752367037 " "
y[1] (numeric) = -3.342167975236708 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.328745931205359800000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4900000000000003 " "
y[1] (analytic) = -3.342172574574878 " "
y[1] (numeric) = -3.342172574574883 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46161851291358140000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4910000000000003 " "
y[1] (analytic) = -3.3421769830179735 " "
y[1] (numeric) = -3.342176983017978 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.32874234999084850000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4920000000000003 " "
y[1] (analytic) = -3.3421812005880067 " "
y[1] (numeric) = -3.342181200588011 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.32874067322242050000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4930000000000003 " "
y[1] (analytic) = -3.3421852273070223 " "
y[1] (numeric) = -3.3421852273070267 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.3287390723340880000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4940000000000003 " "
y[1] (analytic) = -3.34218906319709 " "
y[1] (numeric) = -3.3421890631970945 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.3287375473165280000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.49500000000000033 " "
y[1] (analytic) = -3.3421927082803062 " "
y[1] (numeric) = -3.3421927082803107 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.32873609816043350000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.49600000000000033 " "
y[1] (analytic) = -3.342196162578793 " "
y[1] (numeric) = -3.342196162578798 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46160819734216440000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.49700000000000033 " "
y[1] (analytic) = -3.3421994261147 " "
y[1] (numeric) = -3.3421994261147048 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46160677013503940000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.49800000000000033 " "
y[1] (analytic) = -3.342202498910201 " "
y[1] (numeric) = -3.342202498910206 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46160542634491630000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.49900000000000033 " "
y[1] (analytic) = -3.3422053809874974 " "
y[1] (numeric) = -3.3422053809875023 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46160416596162550000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5000000000000003 " "
y[1] (analytic) = -3.342208072368816 " "
y[1] (numeric) = -3.342208072368821 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.4616029889750160000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5010000000000003 " "
y[1] (analytic) = -3.3422105730764105 " "
y[1] (numeric) = -3.3422105730764153 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46160189537495270000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5020000000000003 " "
y[1] (analytic) = -3.34221288313256 " "
y[1] (numeric) = -3.342212883132565 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46160088515131820000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5030000000000003 " "
y[1] (analytic) = -3.34221500255957 " "
y[1] (numeric) = -3.342215002559575 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.5944726817752860000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5040000000000003 " "
y[1] (analytic) = -3.342216931379773 " "
y[1] (numeric) = -3.342216931379778 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46159911479295080000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5050000000000003 " "
y[1] (analytic) = -3.3422186696155256 " "
y[1] (numeric) = -3.342218669615531 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.5944709323324390000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5060000000000003 " "
y[1] (analytic) = -3.342220217289213 " "
y[1] (numeric) = -3.3422202172892184 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.59447019398471030000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5070000000000003 " "
y[1] (analytic) = -3.342221574423245 " "
y[1] (numeric) = -3.34222157442325 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.59446954653817950000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5080000000000003 " "
y[1] (analytic) = -3.3422227410400582 " "
y[1] (numeric) = -3.342222741040063 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46159657415009500000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5090000000000003 " "
y[1] (analytic) = -3.3422237171621147 " "
y[1] (numeric) = -3.3422237171621196 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46159614727961160000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5100000000000003 " "
y[1] (analytic) = -3.342224502811903 " "
y[1] (numeric) = -3.3422245028119084 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.59446814949661870000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5110000000000003 " "
y[1] (analytic) = -3.3422250980119386 " "
y[1] (numeric) = -3.342225098011944 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.5944678655458158000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5120000000000003 " "
y[1] (analytic) = -3.3422255027847623 " "
y[1] (numeric) = -3.342225502784767 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46159536640495770000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5130000000000003 " "
y[1] (analytic) = -3.34222571715294 " "
y[1] (numeric) = -3.3422257171529455 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.59446757017365520000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5140000000000003 " "
y[1] (analytic) = -3.342225741139067 " "
y[1] (numeric) = -3.342225741139072 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.4615952621697642000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5150000000000003 " "
y[1] (analytic) = -3.3422255747657608 " "
y[1] (numeric) = -3.3422255747657656 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.4615953349268030000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5160000000000003 " "
y[1] (analytic) = -3.3422252180556677 " "
y[1] (numeric) = -3.3422252180556726 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46159549092042230000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5170000000000003 " "
y[1] (analytic) = -3.3422246710314596 " "
y[1] (numeric) = -3.342224671031464 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.32872339103705470000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5180000000000003 " "
y[1] (analytic) = -3.342223933715833 " "
y[1] (numeric) = -3.3422239337158377 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.4615960525779740000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5190000000000003 " "
y[1] (analytic) = -3.342223006131513 " "
y[1] (numeric) = -3.3422230061315177 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46159645822223460000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5200000000000004 " "
y[1] (analytic) = -3.342221888301249 " "
y[1] (numeric) = -3.3422218883012538 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46159694706373270000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5210000000000004 " "
y[1] (analytic) = -3.3422205802478167 " "
y[1] (numeric) = -3.342220580247822 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.59447002082837240000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5220000000000004 " "
y[1] (analytic) = -3.3422190819940196 " "
y[1] (numeric) = -3.3422190819940245 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46159817429928420000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5230000000000004 " "
y[1] (analytic) = -3.342217393562685 " "
y[1] (numeric) = -3.3422173935626898 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.4615989126738022000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5240000000000004 " "
y[1] (analytic) = -3.3422155149766675 " "
y[1] (numeric) = -3.3422155149766724 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46159973420648540000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5250000000000004 " "
y[1] (analytic) = -3.342213446258848 " "
y[1] (numeric) = -3.342213446258853 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46160063888760850000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5260000000000004 " "
y[1] (analytic) = -3.342211187432133 " "
y[1] (numeric) = -3.342211187432138 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46160162670746360000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5270000000000004 " "
y[1] (analytic) = -3.342208738519456 " "
y[1] (numeric) = -3.3422087385194605 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.3287297251421432000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5280000000000004 " "
y[1] (analytic) = -3.3422060995437746 " "
y[1] (numeric) = -3.342206099543779 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.32873077429510630000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5290000000000004 " "
y[1] (analytic) = -3.3422032705280738 " "
y[1] (numeric) = -3.3422032705280786 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.4616050889025830000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5300000000000004 " "
y[1] (analytic) = -3.3422002514953664 " "
y[1] (numeric) = -3.342200251495371 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 1.3287330992551039000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5310000000000004 " "
y[1] (analytic) = -3.3421970424686878 " "
y[1] (numeric) = -3.3421970424686926 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46160781254908750000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5320000000000004 " "
y[1] (analytic) = -3.342193643471102 " "
y[1] (numeric) = -3.342193643471107 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46160929899839480000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5330000000000004 " "
y[1] (analytic) = -3.342190054525699 " "
y[1] (numeric) = -3.342190054525704 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46161086851894550000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5340000000000004 " "
y[1] (analytic) = -3.342186275655594 " "
y[1] (numeric) = -3.3421862756555987 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46161252110116570000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5350000000000004 " "
y[1] (analytic) = -3.342182306883928 " "
y[1] (numeric) = -3.3421823068839327 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46161425673549920000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5360000000000004 " "
y[1] (analytic) = -3.342178148233869 " "
y[1] (numeric) = -3.3421781482338737 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46161607541240580000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5370000000000004 " "
y[1] (analytic) = -3.3421737997286103 " "
y[1] (numeric) = -3.3421737997286156 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.594492338678940000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5380000000000004 " "
y[1] (analytic) = -3.342169261391373 " "
y[1] (numeric) = -3.342169261391378 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46161996185586060000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5390000000000004 " "
y[1] (analytic) = -3.3421645332454024 " "
y[1] (numeric) = -3.3421645332454073 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46162202960341330000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5400000000000004 " "
y[1] (analytic) = -3.3421596153139697 " "
y[1] (numeric) = -3.342159615313975 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.59449910584241400000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5410000000000004 " "
y[1] (analytic) = -3.3421545076203745 " "
y[1] (numeric) = -3.34215450762038 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.59450154265760370000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5420000000000004 " "
y[1] (analytic) = -3.34214921018794 " "
y[1] (numeric) = -3.3421492101879453 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.59450407000263170000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5430000000000004 " "
y[1] (analytic) = -3.342143723040017 " "
y[1] (numeric) = -3.342143723040022 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.59450668786721840000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5440000000000004 " "
y[1] (analytic) = -3.3421380461999814 " "
y[1] (numeric) = -3.342138046199987 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.59450939624110280000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5450000000000004 " "
y[1] (analytic) = -3.3421321796912355 " "
y[1] (numeric) = -3.3421321796912413 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.7273882113735461000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5460000000000004 " "
y[1] (analytic) = -3.342126123537209 " "
y[1] (numeric) = -3.342126123537214 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.59451508447581210000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5470000000000004 " "
y[1] (analytic) = -3.342119877761355 " "
y[1] (numeric) = -3.3421198777613603 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.59451806431620630000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5480000000000004 " "
y[1] (analytic) = -3.3421134423871544 " "
y[1] (numeric) = -3.34211344238716 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.72739789584378940000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5490000000000004 " "
y[1] (analytic) = -3.3421068174381148 " "
y[1] (numeric) = -3.34210681743812 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.59452429539213200000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5500000000000004 " "
y[1] (analytic) = -3.3421000029377677 " "
y[1] (numeric) = -3.3421000029377734 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.72740484215795460000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5510000000000004 " "
y[1] (analytic) = -3.342092998909673 " "
y[1] (numeric) = -3.3420929989096786 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.7274084622822450000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5520000000000004 " "
y[1] (analytic) = -3.3420858053774145 " "
y[1] (numeric) = -3.3420858053774203 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.7274121803700560000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5530000000000004 " "
y[1] (analytic) = -3.342078422364604 " "
y[1] (numeric) = -3.34207842236461 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.7274159964104490000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5540000000000004 " "
y[1] (analytic) = -3.3420708498948786 " "
y[1] (numeric) = -3.342070849894884 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.59454145574692760000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5550000000000004 " "
y[1] (analytic) = -3.3420630879919004 " "
y[1] (numeric) = -3.3420630879919058 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.59454515905106900000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5560000000000004 " "
y[1] (analytic) = -3.3420551366793587 " "
y[1] (numeric) = -3.3420551366793645 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.72742803213802840000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5570000000000004 " "
y[1] (analytic) = -3.3420469959809695 " "
y[1] (numeric) = -3.342046995980975 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.59455283681208180000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5580000000000004 " "
y[1] (analytic) = -3.342038665920473 " "
y[1] (numeric) = -3.3420386659204784 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.59455681124892220000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5590000000000004 " "
y[1] (analytic) = -3.342030146521637 " "
y[1] (numeric) = -3.342030146521642 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.59456087604332750000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5600000000000004 " "
y[1] (analytic) = -3.342021437808254 " "
y[1] (numeric) = -3.3420214378082593 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.59456503118532740000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5610000000000004 " "
y[1] (analytic) = -3.342012539804144 " "
y[1] (numeric) = -3.3420125398041494 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.59456927666496970000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5620000000000004 " "
y[1] (analytic) = -3.3420034525331515 " "
y[1] (numeric) = -3.3420034525331577 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.86033588121770620000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5630000000000004 " "
y[1] (analytic) = -3.341994176019149 " "
y[1] (numeric) = -3.3419941760191554 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.86034104503037060000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5640000000000004 " "
y[1] (analytic) = -3.3419847102860336 " "
y[1] (numeric) = -3.34198471028604 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.86034631420224400000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5650000000000004 " "
y[1] (analytic) = -3.3419750553577283 " "
y[1] (numeric) = -3.3419750553577345 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.86035168872179880000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5660000000000004 " "
y[1] (analytic) = -3.341965211258183 " "
y[1] (numeric) = -3.341965211258189 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.7274745136791340000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5670000000000004 " "
y[1] (analytic) = -3.3419551780113723 " "
y[1] (numeric) = -3.341955178011378 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.72747969991809660000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5680000000000004 " "
y[1] (analytic) = -3.3419449556412983 " "
y[1] (numeric) = -3.341944955641304 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.7274849839479120000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5690000000000004 " "
y[1] (analytic) = -3.3419345441719885 " "
y[1] (numeric) = -3.3419345441719943 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.72749036575795520000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5700000000000004 " "
y[1] (analytic) = -3.341923943627496 " "
y[1] (numeric) = -3.3419239436275023 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.86038014113282140000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5710000000000004 " "
y[1] (analytic) = -3.341913154031902 " "
y[1] (numeric) = -3.3419131540319076 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.72750142267631880000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5720000000000004 " "
y[1] (analytic) = -3.3419021754093095 " "
y[1] (numeric) = -3.3419021754093157 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.86039225912990700000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5730000000000004 " "
y[1] (analytic) = -3.3418910077838517 " "
y[1] (numeric) = -3.341891007783858 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.8603984760184610000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5740000000000004 " "
y[1] (analytic) = -3.341879651179686 " "
y[1] (numeric) = -3.3418796511796924 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.8604047981518970000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5750000000000004 " "
y[1] (analytic) = -3.3418681056209962 " "
y[1] (numeric) = -3.3418681056210024 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.86041122551889840000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5760000000000004 " "
y[1] (analytic) = -3.3418563711319913 " "
y[1] (numeric) = -3.3418563711319975 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.86041775810816800000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5770000000000004 " "
y[1] (analytic) = -3.341844447736907 " "
y[1] (numeric) = -3.3418444477369134 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.86042439590843020000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5780000000000004 " "
y[1] (analytic) = -3.3418323354600052 " "
y[1] (numeric) = -3.3418323354600115 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.86043113890843020000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5790000000000004 " "
y[1] (analytic) = -3.3418200343255733 " "
y[1] (numeric) = -3.3418200343255795 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.8604379870969340000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5800000000000004 " "
y[1] (analytic) = -3.341807544357925 " "
y[1] (numeric) = -3.3418075443579314 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.86044494046272820000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5810000000000004 " "
y[1] (analytic) = -3.3417948655814 " "
y[1] (numeric) = -3.3417948655814063 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.8604519989946208000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5820000000000004 " "
y[1] (analytic) = -3.341781998020364 " "
y[1] (numeric) = -3.34178199802037 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.86045916268144000000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5830000000000004 " "
y[1] (analytic) = -3.3417689416992076 " "
y[1] (numeric) = -3.3417689416992142 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99335689090575250000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5840000000000004 " "
y[1] (analytic) = -3.3417556966423496 " "
y[1] (numeric) = -3.3417556966423563 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99336479158065350000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5850000000000004 " "
y[1] (analytic) = -3.341742262874233 " "
y[1] (numeric) = -3.3417422628742397 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99337280488577270000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5860000000000004 " "
y[1] (analytic) = -3.341728640419327 " "
y[1] (numeric) = -3.3417286404193343 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12627299286317820000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5870000000000004 " "
y[1] (analytic) = -3.3417148293021284 " "
y[1] (numeric) = -3.341714829302135 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.9933891693391650000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5880000000000004 " "
y[1] (analytic) = -3.3417008295471575 " "
y[1] (numeric) = -3.341700829547164 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99339752046374390000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5890000000000004 " "
y[1] (analytic) = -3.3416866411789616 " "
y[1] (numeric) = -3.3416866411789687 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12629971644922900000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5900000000000004 " "
y[1] (analytic) = -3.3416722642221153 " "
y[1] (numeric) = -3.3416722642221224 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12630886447957080000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5910000000000004 " "
y[1] (analytic) = -3.341657698701217 " "
y[1] (numeric) = -3.341657698701224 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12631813257313230000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5920000000000004 " "
y[1] (analytic) = -3.341642944640893 " "
y[1] (numeric) = -3.3416429446408995 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99343205067254600000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5930000000000004 " "
y[1] (analytic) = -3.3416280020657934 " "
y[1] (numeric) = -3.3416280020658005 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12633702889981430000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5940000000000004 " "
y[1] (analytic) = -3.3416128710005966 " "
y[1] (numeric) = -3.3416128710006037 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.1263466571079450000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5950000000000004 " "
y[1] (analytic) = -3.341597551470006 " "
y[1] (numeric) = -3.3415975514700125 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99345912999623260000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5960000000000004 " "
y[1] (analytic) = -3.3415820434987498 " "
y[1] (numeric) = -3.3415820434987564 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99346838145451980000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5970000000000004 " "
y[1] (analytic) = -3.341566347111584 " "
y[1] (numeric) = -3.341566347111591 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99347774540192260000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5980000000000004 " "
y[1] (analytic) = -3.3415504623332897 " "
y[1] (numeric) = -3.3415504623332963 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.9934872218268270000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5990000000000004 " "
y[1] (analytic) = -3.3415343891886744 " "
y[1] (numeric) = -3.3415343891886806 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.8605970233364638000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6000000000000004 " "
y[1] (analytic) = -3.34151812770257 " "
y[1] (numeric) = -3.3415181277025767 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99350651206279120000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6010000000000004 " "
y[1] (analytic) = -3.3415016778998363 " "
y[1] (numeric) = -3.3415016778998434 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12641741424078130000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6020000000000004 " "
y[1] (analytic) = -3.341485039805359 " "
y[1] (numeric) = -3.3414850398053657 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99352625206993620000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6030000000000004 " "
y[1] (analytic) = -3.341468213444047 " "
y[1] (numeric) = -3.3414682134440543 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12643871008949270000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6040000000000004 " "
y[1] (analytic) = -3.34145119884084 " "
y[1] (numeric) = -3.3414511988408466 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99354644175613850000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6050000000000004 " "
y[1] (analytic) = -3.341433996020698 " "
y[1] (numeric) = -3.3414339960207053 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.25936426589355280000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6060000000000004 " "
y[1] (analytic) = -3.341416605008612 " "
y[1] (numeric) = -3.341416605008619 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12647155309826720000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6070000000000004 " "
y[1] (analytic) = -3.341399025829595 " "
y[1] (numeric) = -3.341399025829602 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12648274051521950000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6080000000000004 " "
y[1] (analytic) = -3.341381258508689 " "
y[1] (numeric) = -3.3413812585086955 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.9935881697989770000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6090000000000004 " "
y[1] (analytic) = -3.341363303070959 " "
y[1] (numeric) = -3.341363303070966 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12650547489720480000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6100000000000004 " "
y[1] (analytic) = -3.341345159541499 " "
y[1] (numeric) = -3.341345159541506 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99360970797312380000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6110000000000004 " "
y[1] (analytic) = -3.3413268279454265 " "
y[1] (numeric) = -3.3413268279454336 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12652868859587480000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6120000000000004 " "
y[1] (analytic) = -3.3413083083078865 " "
y[1] (numeric) = -3.341308308307893 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99363169546134760000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6130000000000004 " "
y[1] (analytic) = -3.3412896006540485 " "
y[1] (numeric) = -3.3412896006540556 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12655238151465030000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6140000000000004 " "
y[1] (analytic) = -3.3412707050091095 " "
y[1] (numeric) = -3.341270705009116 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.993654132173280000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6150000000000004 " "
y[1] (analytic) = -3.3412516213982912 " "
y[1] (numeric) = -3.341251621398298 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.9936655189599920000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6160000000000004 " "
y[1] (analytic) = -3.3412323498468406 " "
y[1] (numeric) = -3.341232349846848 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.25950062042142270000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6170000000000004 " "
y[1] (analytic) = -3.341212890380034 " "
y[1] (numeric) = -3.341212890380041 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99368862933881150000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6180000000000004 " "
y[1] (analytic) = -3.3411932430231692 " "
y[1] (numeric) = -3.3411932430231763 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.1266137097691150000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6190000000000004 " "
y[1] (analytic) = -3.3411734078015733 " "
y[1] (numeric) = -3.34117340780158 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99371218871694820000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6200000000000004 " "
y[1] (analytic) = -3.341153384740597 " "
y[1] (numeric) = -3.3411533847406036 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.9937241367528888000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6210000000000004 " "
y[1] (analytic) = -3.3411331738656185 " "
y[1] (numeric) = -3.3411331738656247 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.8608204505382390000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6220000000000004 " "
y[1] (analytic) = -3.34111277520204 " "
y[1] (numeric) = -3.341112775202047 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99374836946296180000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6230000000000004 " "
y[1] (analytic) = -3.341092188775293 " "
y[1] (numeric) = -3.3410921887752996 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99376065411493830000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6240000000000004 " "
y[1] (analytic) = -3.341071414610832 " "
y[1] (numeric) = -3.341071414610838 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.86085484755346420000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6250000000000004 " "
y[1] (analytic) = -3.341050452734136 " "
y[1] (numeric) = -3.341050452734143 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12670459728804830000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6260000000000004 " "
y[1] (analytic) = -3.3410293031707154 " "
y[1] (numeric) = -3.341029303170722 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99379818112614960000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6270000000000004 " "
y[1] (analytic) = -3.3410079659461016 " "
y[1] (numeric) = -3.341007965946108 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.8608901868153088000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6280000000000004 " "
y[1] (analytic) = -3.340986441085853 " "
y[1] (numeric) = -3.3409864410858594 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.86090217590952260000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6290000000000004 " "
y[1] (analytic) = -3.340964728615555 " "
y[1] (numeric) = -3.3409647286155617 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.9938367174894710000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6300000000000004 " "
y[1] (analytic) = -3.3409428285608183 " "
y[1] (numeric) = -3.340942828560825 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.9938497871932910000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6310000000000004 " "
y[1] (analytic) = -3.340920740947279 " "
y[1] (numeric) = -3.340920740947286 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.9938629690036270000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6320000000000005 " "
y[1] (analytic) = -3.3408984658005996 " "
y[1] (numeric) = -3.3408984658006067 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12680134710358070000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6330000000000005 " "
y[1] (analytic) = -3.3408760031464686 " "
y[1] (numeric) = -3.3408760031464757 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12681564682707270000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6340000000000005 " "
y[1] (analytic) = -3.3408533530106004 " "
y[1] (numeric) = -3.340853353010607 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99390318696511900000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6350000000000005 " "
y[1] (analytic) = -3.340830515418734 " "
y[1] (numeric) = -3.340830515418741 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.1268446048992162000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6360000000000005 " "
y[1] (analytic) = -3.3408074903966356 " "
y[1] (numeric) = -3.340807490396643 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.25978796717638850000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6370000000000005 " "
y[1] (analytic) = -3.340784277970098 " "
y[1] (numeric) = -3.3407842779701054 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.25980366862784830000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6380000000000005 " "
y[1] (analytic) = -3.3407608781649376 " "
y[1] (numeric) = -3.340760878164945 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.25981949704762300000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6390000000000005 " "
y[1] (analytic) = -3.3407372910069983 " "
y[1] (numeric) = -3.340737291007006 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.2598354524235620000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6400000000000005 " "
y[1] (analytic) = -3.3407135165221495 " "
y[1] (numeric) = -3.340713516522157 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.2598515347435388000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6410000000000005 " "
y[1] (analytic) = -3.3406895547362865 " "
y[1] (numeric) = -3.340689554736294 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.25986774399545230000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6420000000000005 " "
y[1] (analytic) = -3.34066540567533 " "
y[1] (numeric) = -3.3406654056753378 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.25988408016722510000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6430000000000005 " "
y[1] (analytic) = -3.3406410693652275 " "
y[1] (numeric) = -3.340641069365235 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.25990054324680470000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6440000000000005 " "
y[1] (analytic) = -3.340616545831951 " "
y[1] (numeric) = -3.340616545831959 " "
absolute error = 7.993605777301127000000000000000E-15 " "
relative error = 2.39285343517640720000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6450000000000005 " "
y[1] (analytic) = -3.3405918351015 " "
y[1] (numeric) = -3.340591835101508 " "
absolute error = 7.993605777301127000000000000000E-15 " "
relative error = 2.39287113538019260000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6460000000000005 " "
y[1] (analytic) = -3.340566937199898 " "
y[1] (numeric) = -3.340566937199906 " "
absolute error = 7.993605777301127000000000000000E-15 " "
relative error = 2.3928889699188188000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6470000000000005 " "
y[1] (analytic) = -3.340541852153196 " "
y[1] (numeric) = -3.340541852153204 " "
absolute error = 7.993605777301127000000000000000E-15 " "
relative error = 2.3929069387796262000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6480000000000005 " "
y[1] (analytic) = -3.34051657998747 " "
y[1] (numeric) = -3.340516579987478 " "
absolute error = 7.993605777301127000000000000000E-15 " "
relative error = 2.39292504194998170000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6490000000000005 " "
y[1] (analytic) = -3.3404911207288217 " "
y[1] (numeric) = -3.34049112072883 " "
absolute error = 8.43769498715119000000000000000E-15 " "
relative error = 2.5258845727182390000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6500000000000005 " "
y[1] (analytic) = -3.3404654744033797 " "
y[1] (numeric) = -3.3404654744033877 " "
absolute error = 7.993605777301127000000000000000E-15 " "
relative error = 2.39296165116893360000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6510000000000005 " "
y[1] (analytic) = -3.340439641037297 " "
y[1] (numeric) = -3.340439641037305 " "
absolute error = 7.993605777301127000000000000000E-15 " "
relative error = 2.3929801571923917000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6520000000000005 " "
y[1] (analytic) = -3.340413620656753 " "
y[1] (numeric) = -3.340413620656761 " "
absolute error = 7.993605777301127000000000000000E-15 " "
relative error = 2.3929987974751218000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6530000000000005 " "
y[1] (analytic) = -3.3403874132879534 " "
y[1] (numeric) = -3.3403874132879614 " "
absolute error = 7.993605777301127000000000000000E-15 " "
relative error = 2.3930175720046187000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6540000000000005 " "
y[1] (analytic) = -3.34036101895713 " "
y[1] (numeric) = -3.3403610189571373 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.2600900096146032000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6550000000000005 " "
y[1] (analytic) = -3.3403344376905375 " "
y[1] (numeric) = -3.3403344376905455 " "
absolute error = 7.993605777301127000000000000000E-15 " "
relative error = 2.39305552375402240000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6560000000000005 " "
y[1] (analytic) = -3.3403076695144613 " "
y[1] (numeric) = -3.340307669514469 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.26012610645187770000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6570000000000005 " "
y[1] (analytic) = -3.340280714455209 " "
y[1] (numeric) = -3.3402807144552162 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12719467763651050000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6580000000000005 " "
y[1] (analytic) = -3.340253572539115 " "
y[1] (numeric) = -3.340253572539122 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12721196259353620000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6590000000000005 " "
y[1] (analytic) = -3.3402262437925394 " "
y[1] (numeric) = -3.3402262437925465 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.1272293668148060000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6600000000000005 " "
y[1] (analytic) = -3.3401987282418686 " "
y[1] (numeric) = -3.3401987282418757 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12724689028936350000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6610000000000005 " "
y[1] (analytic) = -3.3401710259135142 " "
y[1] (numeric) = -3.3401710259135213 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.1272645330062748000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6620000000000005 " "
y[1] (analytic) = -3.3401431368339143 " "
y[1] (numeric) = -3.3401431368339214 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.1272822949546288000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6630000000000005 " "
y[1] (analytic) = -3.3401150610295325 " "
y[1] (numeric) = -3.340115061029539 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99434391511581570000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6640000000000005 " "
y[1] (analytic) = -3.3400867985268574 " "
y[1] (numeric) = -3.340086798526864 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99436079047074970000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6650000000000005 " "
y[1] (analytic) = -3.3400583493524043 " "
y[1] (numeric) = -3.3400583493524114 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12733629607957470000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6660000000000005 " "
y[1] (analytic) = -3.340029713532715 " "
y[1] (numeric) = -3.340029713532722 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12735453484504000000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6670000000000005 " "
y[1] (analytic) = -3.3400008910943555 " "
y[1] (numeric) = -3.3400008910943626 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.1273728927877320000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6680000000000005 " "
y[1] (analytic) = -3.3399718820639186 " "
y[1] (numeric) = -3.3399718820639257 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12739136989687440000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6690000000000005 " "
y[1] (analytic) = -3.3399426864680226 " "
y[1] (numeric) = -3.3399426864680293 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99444684327660740000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6700000000000005 " "
y[1] (analytic) = -3.339913304333311 " "
y[1] (numeric) = -3.339913304333318 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99446438897330190000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6710000000000005 " "
y[1] (analytic) = -3.3398837356864544 " "
y[1] (numeric) = -3.339883735686461 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99448204635836480000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6720000000000005 " "
y[1] (analytic) = -3.3398539805541483 " "
y[1] (numeric) = -3.339853980554155 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.9944998154217780000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6730000000000005 " "
y[1] (analytic) = -3.3398240389631138 " "
y[1] (numeric) = -3.339824038963121 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.1274855425637820000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6740000000000005 " "
y[1] (analytic) = -3.3397939109400987 " "
y[1] (numeric) = -3.339793910940106 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12750473444660470000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6750000000000005 " "
y[1] (analytic) = -3.3397635965118755 " "
y[1] (numeric) = -3.3397635965118826 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12752404542108030000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6760000000000005 " "
y[1] (analytic) = -3.3397330957052436 " "
y[1] (numeric) = -3.3397330957052507 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.1275434754766132000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6770000000000005 " "
y[1] (analytic) = -3.339702408547027 " "
y[1] (numeric) = -3.3397024085470344 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.26053571364029480000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6780000000000005 " "
y[1] (analytic) = -3.339671535064076 " "
y[1] (numeric) = -3.3396715350640838 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.26055661108786750000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6790000000000005 " "
y[1] (analytic) = -3.339640475283268 " "
y[1] (numeric) = -3.339640475283275 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12760248002393740000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6800000000000005 " "
y[1] (analytic) = -3.3396092292315034 " "
y[1] (numeric) = -3.3396092292315105 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12762238629819360000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6810000000000005 " "
y[1] (analytic) = -3.33957779693571 " "
y[1] (numeric) = -3.339577796935717 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12764241160086630000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6820000000000005 " "
y[1] (analytic) = -3.3395461784228417 " "
y[1] (numeric) = -3.339546178422849 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12766255592149430000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6830000000000005 " "
y[1] (analytic) = -3.339514373719877 " "
y[1] (numeric) = -3.3395143737198847 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.26066299545274160000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6840000000000005 " "
y[1] (analytic) = -3.3394823828538223 " "
y[1] (numeric) = -3.3394823828538294 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12770320157488450000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6850000000000005 " "
y[1] (analytic) = -3.3394502058517066 " "
y[1] (numeric) = -3.3394502058517137 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12772370288683650000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6860000000000005 " "
y[1] (analytic) = -3.3394178427405867 " "
y[1] (numeric) = -3.3394178427405943 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.2607283433735690000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6870000000000005 " "
y[1] (analytic) = -3.3393852935475463 " "
y[1] (numeric) = -3.339385293547553 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99477974602755880000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6880000000000005 " "
y[1] (analytic) = -3.3393525582996912 " "
y[1] (numeric) = -3.339352558299698 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99479930059936940000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6890000000000005 " "
y[1] (analytic) = -3.3393196370241562 " "
y[1] (numeric) = -3.339319637024163 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99481896668244950000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6900000000000005 " "
y[1] (analytic) = -3.3392865297481005 " "
y[1] (numeric) = -3.339286529748107 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.9948387442671590000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6910000000000005 " "
y[1] (analytic) = -3.3392532364987093 " "
y[1] (numeric) = -3.339253236498716 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99485863334387860000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6920000000000005 " "
y[1] (analytic) = -3.3392197573031934 " "
y[1] (numeric) = -3.3392197573032 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99487863390301100000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6930000000000005 " "
y[1] (analytic) = -3.3391860921887893 " "
y[1] (numeric) = -3.3391860921887964 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12789199566397770000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6940000000000005 " "
y[1] (analytic) = -3.33915224118276 " "
y[1] (numeric) = -3.339152241182767 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12791356739224060000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6950000000000005 " "
y[1] (analytic) = -3.3391182043123933 " "
y[1] (numeric) = -3.3391182043124 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.9949393043792152000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6960000000000005 " "
y[1] (analytic) = -3.339083981605002 " "
y[1] (numeric) = -3.3390839816050093 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12795706749059540000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6970000000000005 " "
y[1] (analytic) = -3.339049573087927 " "
y[1] (numeric) = -3.339049573087934 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12797899584041160000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6980000000000005 " "
y[1] (analytic) = -3.339014978788533 " "
y[1] (numeric) = -3.33901497878854 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12800104304383950000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6990000000000005 " "
y[1] (analytic) = -3.338980198734211 " "
y[1] (numeric) = -3.3389801987342183 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12802320909079660000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7000000000000005 " "
y[1] (analytic) = -3.3389452329523786 " "
y[1] (numeric) = -3.338945232952385 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99504265059802100000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7010000000000005 " "
y[1] (analytic) = -3.338910081470476 " "
y[1] (numeric) = -3.338910081470483 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12806789767507900000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7020000000000005 " "
y[1] (analytic) = -3.3388747443159734 " "
y[1] (numeric) = -3.3388747443159805 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12809042019234920000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7030000000000005 " "
y[1] (analytic) = -3.338839221516364 " "
y[1] (numeric) = -3.338839221516371 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.1281130615130392000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7040000000000005 " "
y[1] (analytic) = -3.338803513099167 " "
y[1] (numeric) = -3.3388035130991742 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12813582162717730000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7050000000000005 " "
y[1] (analytic) = -3.3387676190919287 " "
y[1] (numeric) = -3.3387676190919353 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.9951487817420122000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7060000000000005 " "
y[1] (analytic) = -3.338731539522218 " "
y[1] (numeric) = -3.3387315395222252 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12818169819601860000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7070000000000005 " "
y[1] (analytic) = -3.338695274417634 " "
y[1] (numeric) = -3.338695274417641 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.1282048146308880000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7080000000000005 " "
y[1] (analytic) = -3.338658823805798 " "
y[1] (numeric) = -3.3386588238058046 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99521379670581600000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7090000000000005 " "
y[1] (analytic) = -3.338622187714357 " "
y[1] (numeric) = -3.338622187714364 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12825140375210440000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7100000000000005 " "
y[1] (analytic) = -3.3385853661709866 " "
y[1] (numeric) = -3.338585366170993 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99525769664257780000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7110000000000005 " "
y[1] (analytic) = -3.3385483592033856 " "
y[1] (numeric) = -3.3385483592033918 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.86226115933344800000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7120000000000005 " "
y[1] (analytic) = -3.338511166839278 " "
y[1] (numeric) = -3.3385111668392846 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99530204179533540000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7130000000000005 " "
y[1] (analytic) = -3.3384737891064162 " "
y[1] (numeric) = -3.3384737891064225 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.86230275588444850000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7140000000000005 " "
y[1] (analytic) = -3.338436226032576 " "
y[1] (numeric) = -3.338436226032582 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.8623237099513220000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7150000000000005 " "
y[1] (analytic) = -3.3383984776455593 " "
y[1] (numeric) = -3.3383984776455655 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.86234476786775200000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7160000000000005 " "
y[1] (analytic) = -3.338360543973194 " "
y[1] (numeric) = -3.3383605439732005 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.995392067455620000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7170000000000005 " "
y[1] (analytic) = -3.3383224250433345 " "
y[1] (numeric) = -3.3383224250433408 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.86238719521532450000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7180000000000005 " "
y[1] (analytic) = -3.3382841208838587 " "
y[1] (numeric) = -3.3382841208838654 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.9954377478173590000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7190000000000005 " "
y[1] (analytic) = -3.338245631522673 " "
y[1] (numeric) = -3.338245631522679 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.86243003785943830000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7200000000000005 " "
y[1] (analytic) = -3.338206956987707 " "
y[1] (numeric) = -3.3382069569877126 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.7294193566897160000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7210000000000005 " "
y[1] (analytic) = -3.3381680973069163 " "
y[1] (numeric) = -3.338168097306922 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.72943948889462430000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7220000000000005 " "
y[1] (analytic) = -3.3381290525082834 " "
y[1] (numeric) = -3.3381290525082896 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.86249508035922440000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7230000000000005 " "
y[1] (analytic) = -3.3380898226198163 " "
y[1] (numeric) = -3.3380898226198226 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.86251696876791160000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7240000000000005 " "
y[1] (analytic) = -3.3380504076695483 " "
y[1] (numeric) = -3.338050407669554 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.72950046373965080000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7250000000000005 " "
y[1] (analytic) = -3.3380108076855373 " "
y[1] (numeric) = -3.338010807685543 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.72952098140560730000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7260000000000005 " "
y[1] (analytic) = -3.3379710226958683 " "
y[1] (numeric) = -3.337971022695874 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.72954159541750530000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7270000000000005 " "
y[1] (analytic) = -3.3379310527286514 " "
y[1] (numeric) = -3.337931052728657 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.72956230576765260000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7280000000000005 " "
y[1] (analytic) = -3.3378908978120223 " "
y[1] (numeric) = -3.337890897812028 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.72958311244837380000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7290000000000005 " "
y[1] (analytic) = -3.3378505579741424 " "
y[1] (numeric) = -3.337850557974148 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.72960401545201150000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7300000000000005 " "
y[1] (analytic) = -3.3378100332431995 " "
y[1] (numeric) = -3.337810033243205 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.5965769367116242000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7310000000000005 " "
y[1] (analytic) = -3.337769323647405 " "
y[1] (numeric) = -3.337769323647411 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.72964611039749560000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7320000000000005 " "
y[1] (analytic) = -3.3377284292149985 " "
y[1] (numeric) = -3.3377284292150042 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.72966730232411580000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7330000000000005 " "
y[1] (analytic) = -3.337687349974243 " "
y[1] (numeric) = -3.337687349974249 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.7296885905431990000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7340000000000005 " "
y[1] (analytic) = -3.337646085953429 " "
y[1] (numeric) = -3.337646085953435 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.7297099750471770000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7350000000000005 " "
y[1] (analytic) = -3.3376046371808714 " "
y[1] (numeric) = -3.337604637180877 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.7297314558284980000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7360000000000005 " "
y[1] (analytic) = -3.3375630036849113 " "
y[1] (numeric) = -3.337563003684917 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.72975303287962730000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7370000000000005 " "
y[1] (analytic) = -3.3375211854939146 " "
y[1] (numeric) = -3.3375211854939204 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.72977470619304930000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7380000000000005 " "
y[1] (analytic) = -3.337479182636274 " "
y[1] (numeric) = -3.33747918263628 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.72979647576126500000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7390000000000005 " "
y[1] (analytic) = -3.3374369951404077 " "
y[1] (numeric) = -3.337436995140413 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.59675539222473180000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7400000000000005 " "
y[1] (analytic) = -3.3373946230347578 " "
y[1] (numeric) = -3.337394623034763 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.5967756648912330000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7410000000000005 " "
y[1] (analytic) = -3.337352066347794 " "
y[1] (numeric) = -3.3373520663477994 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.59679602638764400000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7420000000000005 " "
y[1] (analytic) = -3.337309325108011 " "
y[1] (numeric) = -3.3373093251080164 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.59681647670710830000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7430000000000005 " "
y[1] (analytic) = -3.337266399343929 " "
y[1] (numeric) = -3.337266399343934 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.46376726452255160000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7440000000000005 " "
y[1] (analytic) = -3.3372232890840934 " "
y[1] (numeric) = -3.3372232890840987 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.5968576437878460000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7450000000000006 " "
y[1] (analytic) = -3.3371799943570757 " "
y[1] (numeric) = -3.3371799943570815 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.7299515572467772000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7460000000000006 " "
y[1] (analytic) = -3.337136515191473 " "
y[1] (numeric) = -3.3371365151914794 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.86304902709206470000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7470000000000006 " "
y[1] (analytic) = -3.337092851615909 " "
y[1] (numeric) = -3.337092851615915 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.72999673211229250000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7480000000000006 " "
y[1] (analytic) = -3.337049003659031 " "
y[1] (numeric) = -3.3370490036590366 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.73001946381986570000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7490000000000006 " "
y[1] (analytic) = -3.337004971349512 " "
y[1] (numeric) = -3.337004971349518 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.86312246798558730000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7500000000000006 " "
y[1] (analytic) = -3.3369607547160522 " "
y[1] (numeric) = -3.3369607547160585 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.86314715542104520000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7510000000000006 " "
y[1] (analytic) = -3.336916353787377 " "
y[1] (numeric) = -3.3369163537873834 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.86317194641224430000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7520000000000006 " "
y[1] (analytic) = -3.336871768592237 " "
y[1] (numeric) = -3.336871768592243 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.8631968409513730000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7530000000000006 " "
y[1] (analytic) = -3.3368269991594075 " "
y[1] (numeric) = -3.3368269991594137 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.8632218390306380000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7540000000000006 " "
y[1] (analytic) = -3.3367820455176904 " "
y[1] (numeric) = -3.336782045517697 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99633600783099860000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7550000000000006 " "
y[1] (analytic) = -3.3367369076959132 " "
y[1] (numeric) = -3.3367369076959204 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12945388088971300000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7560000000000006 " "
y[1] (analytic) = -3.33669158572293 " "
y[1] (numeric) = -3.3366915857229364 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99639012974814370000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7570000000000006 " "
y[1] (analytic) = -3.3366460796276174 " "
y[1] (numeric) = -3.336646079627624 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99641735706484360000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7580000000000006 " "
y[1] (analytic) = -3.33660038943888 " "
y[1] (numeric) = -3.336600389438887 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.12954100829435250000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7590000000000006 " "
y[1] (analytic) = -3.336554515185649 " "
y[1] (numeric) = -3.3365545151856555 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99647214437324920000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7600000000000006 " "
y[1] (analytic) = -3.336508456896877 " "
y[1] (numeric) = -3.3365084568968837 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99649970434851600000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7610000000000006 " "
y[1] (analytic) = -3.3364622146015463 " "
y[1] (numeric) = -3.336462214601553 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99652737519356670000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7620000000000006 " "
y[1] (analytic) = -3.3364157883286634 " "
y[1] (numeric) = -3.3364157883286696 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.8634514797735480000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7630000000000006 " "
y[1] (analytic) = -3.336369178107259 " "
y[1] (numeric) = -3.3363691781072653 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.86347751282966740000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7640000000000006 " "
y[1] (analytic) = -3.336322383966391 " "
y[1] (numeric) = -3.336322383966398 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.996611052865820000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7650000000000006 " "
y[1] (analytic) = -3.336275405935144 " "
y[1] (numeric) = -3.33627540593515 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.86352988930127280000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7660000000000006 " "
y[1] (analytic) = -3.3362282440426236 " "
y[1] (numeric) = -3.3362282440426303 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99666739218032800000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7670000000000006 " "
y[1] (analytic) = -3.336180898317966 " "
y[1] (numeric) = -3.3361808983179726 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99669572807321400000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7680000000000006 " "
y[1] (analytic) = -3.33613336879033 " "
y[1] (numeric) = -3.3361333687903367 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99672417477911450000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7690000000000006 " "
y[1] (analytic) = -3.3360856554889016 " "
y[1] (numeric) = -3.336085655488908 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.86363588347066650000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7700000000000006 " "
y[1] (analytic) = -3.33603775844289 " "
y[1] (numeric) = -3.3360377584428966 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.996781400597860000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7710000000000006 " "
y[1] (analytic) = -3.3359896776815323 " "
y[1] (numeric) = -3.335989677681539 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99681017969470400000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7720000000000006 " "
y[1] (analytic) = -3.3359414132340905 " "
y[1] (numeric) = -3.335941413234097 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.9968390695725620000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7730000000000006 " "
y[1] (analytic) = -3.3358929651298515 " "
y[1] (numeric) = -3.335892965129858 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.9968680702234828000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7740000000000006 " "
y[1] (analytic) = -3.3358443333981285 " "
y[1] (numeric) = -3.335844333398135 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99689718163953600000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7750000000000006 " "
y[1] (analytic) = -3.33579551806826 " "
y[1] (numeric) = -3.335795518068266 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.86379797689195580000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7760000000000006 " "
y[1] (analytic) = -3.3357465191696085 " "
y[1] (numeric) = -3.335746519169615 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99695573673541430000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7770000000000006 " "
y[1] (analytic) = -3.335697336731565 " "
y[1] (numeric) = -3.3356973367315716 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.9969851803994768000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7780000000000006 " "
y[1] (analytic) = -3.3356479707835436 " "
y[1] (numeric) = -3.3356479707835502 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99701473479714680000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7790000000000006 " "
y[1] (analytic) = -3.3355984213549856 " "
y[1] (numeric) = -3.335598421354992 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 1.8639081065925520000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7800000000000006 " "
y[1] (analytic) = -3.335548688475355 " "
y[1] (numeric) = -3.3355486884753622 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.1302124541461330000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7810000000000006 " "
y[1] (analytic) = -3.3354987721741454 " "
y[1] (numeric) = -3.3354987721741525 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.13024433313448400000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7820000000000006 " "
y[1] (analytic) = -3.335448672480873 " "
y[1] (numeric) = -3.33544867248088 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99713405956755520000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7830000000000006 " "
y[1] (analytic) = -3.3353983894250803 " "
y[1] (numeric) = -3.335398389425087 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99716416751617720000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7840000000000006 " "
y[1] (analytic) = -3.3353479230363345 " "
y[1] (numeric) = -3.3353479230363416 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.1303406785618262000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7850000000000006 " "
y[1] (analytic) = -3.3352972733442305 " "
y[1] (numeric) = -3.335297273344237 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99722471546644460000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7860000000000006 " "
y[1] (analytic) = -3.3352464403783864 " "
y[1] (numeric) = -3.335246440378393 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99725515545268240000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7870000000000006 " "
y[1] (analytic) = -3.3351954241684463 " "
y[1] (numeric) = -3.3351954241684534 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.1304380865096012000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7880000000000006 " "
y[1] (analytic) = -3.3351442247440812 " "
y[1] (numeric) = -3.335144224744088 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99731636740899550000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7890000000000006 " "
y[1] (analytic) = -3.3350928421349857 " "
y[1] (numeric) = -3.3350928421349924 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.9973471393637820000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7900000000000006 " "
y[1] (analytic) = -3.335041276370881 " "
y[1] (numeric) = -3.335041276370888 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99737802195949470000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7910000000000006 " "
y[1] (analytic) = -3.334989527481514 " "
y[1] (numeric) = -3.3349895274815204 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99740901518853850000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7920000000000006 " "
y[1] (analytic) = -3.3349375954966556 " "
y[1] (numeric) = -3.3349375954966622 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.9974401190433370000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7930000000000006 " "
y[1] (analytic) = -3.334885480446104 " "
y[1] (numeric) = -3.3348854804461108 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99747133351633380000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7940000000000006 " "
y[1] (analytic) = -3.3348331823596817 " "
y[1] (numeric) = -3.3348331823596884 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.9975026585999930000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7950000000000006 " "
y[1] (analytic) = -3.334780701267237 " "
y[1] (numeric) = -3.3347807012672437 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 1.99753409428679670000000000000E-13 "%"
Correct digits = 15
h = 1.000E-3 " "
"NO POLE for equation 1"
"Finished!"
"Maximum Time Reached before Solution Completed!"
"diff ( y , x , 1 ) = sin(0.3 * x + 0.1) - (0.1 * x + 0.2) ;"
Iterations = 696
"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 18 Minutes 8 Seconds
"Optimized Time Remaining "= 0 Years 0 Days 0 Hours 18 Minutes 4 Seconds
"Expected Total Time "= 0 Years 0 Days 0 Hours 21 Minutes 5 Seconds
"Time to Timeout " Unknown
Percent Done = 14.224489795918378 "%"
(%o58) true
(%o58) diffeq.max