#BEGIN OUTFILE1
# before write maple top matter
# before write_ats library and user def block
#BEGIN ATS LIBRARY BLOCK
# Begin Function number 2
omniout_str := proc(iolevel,str)
global glob_iolevel;
if (glob_iolevel >= iolevel) then # if number 1
printf("%s\n",str);
fi;# end if 1;
end;
# End Function number 2
# Begin Function number 3
omniout_str_noeol := proc(iolevel,str)
global glob_iolevel;
if (glob_iolevel >= iolevel) then # if number 1
printf("%s",str);
fi;# end if 1;
end;
# End Function number 3
# Begin Function number 4
omniout_labstr := proc(iolevel,label,str)
global glob_iolevel;
if (glob_iolevel >= iolevel) then # if number 1
print(label,str);
fi;# end if 1;
end;
# End Function number 4
# Begin Function number 5
omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
global glob_iolevel;
if (glob_iolevel >= iolevel) then # if number 1
if vallen = 4 then
printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel);
else
printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel);
fi;# end if 1;
fi;# end if 0;
end;
# End Function number 5
# Begin Function number 6
omniout_complex := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
global glob_iolevel;
if (glob_iolevel >= iolevel) then # if number 0
if vallen = 4 then
printf("%-30s = %-20.4g %-20g %s \n",prelabel,Re(value), Im(value), postlabel);
else
printf("%-30s = %-20.12g %-20.12g %s \n",prelabel,Re(value),Im(value), postlabel);
fi;# end if 0;
fi;# end if -1;
end;
# End Function number 6
# Begin Function number 7
omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
global glob_iolevel;
if (glob_iolevel >= iolevel) then # if number -1
if vallen = 5 then # if number 0
printf("%-30s = %-32d %s\n",prelabel,value, postlabel);
else
printf("%-30s = %-32d %s \n",prelabel,value, postlabel);
fi;# end if 0;
fi;# end if -1;
end;
# End Function number 7
# Begin Function number 8
logitem_time := proc(fd,secs_in)
global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
fprintf(fd,"| ");
if (secs_in >= 0) then # if number -1
years_int := int_trunc(secs_in / glob_sec_in_year);
sec_temp := int_trunc(secs_in) mod int_trunc(glob_sec_in_year);
days_int := int_trunc(sec_temp / glob_sec_in_day) ;
sec_temp := sec_temp mod int_trunc(glob_sec_in_day) ;
hours_int := int_trunc(sec_temp / glob_sec_in_hour);
sec_temp := sec_temp mod int_trunc(glob_sec_in_hour);
minutes_int := int_trunc(sec_temp / glob_sec_in_minute);
sec_int := sec_temp mod int_trunc(glob_sec_in_minute);
if (years_int > 0) then # if number 0
fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int);
elif
(days_int > 0) then # if number 1
fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int);
elif
(hours_int > 0) then # if number 2
fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int);
elif
(minutes_int > 0) then # if number 3
fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int);
else
fprintf(fd,"%d Seconds",sec_int);
fi;# end if 3
else
fprintf(fd," 0.0 Seconds");
fi;# end if 2
fprintf(fd," | \n");
end;
# End Function number 8
# Begin Function number 9
omniout_timestr := proc(secs_in)
global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
if (secs_in >= 0) then # if number 2
years_int := int_trunc(secs_in / glob_sec_in_year);
sec_temp := (int_trunc(secs_in) mod int_trunc(glob_sec_in_year));
days_int := int_trunc(sec_temp / glob_sec_in_day) ;
sec_temp := (sec_temp mod int_trunc(glob_sec_in_day)) ;
hours_int := int_trunc(sec_temp / glob_sec_in_hour);
sec_temp := (sec_temp mod int_trunc(glob_sec_in_hour));
minutes_int := int_trunc(sec_temp / glob_sec_in_minute);
sec_int := (sec_temp mod int_trunc(glob_sec_in_minute));
if (years_int > 0) then # if number 3
printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int);
elif
(days_int > 0) then # if number 4
printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int);
elif
(hours_int > 0) then # if number 5
printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int);
elif
(minutes_int > 0) then # if number 6
printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int);
else
printf(" = %d Seconds\n",sec_int);
fi;# end if 6
else
printf(" 0.0 Seconds\n");
fi;# end if 5
end;
# End Function number 9
# Begin Function number 10
zero_ats_ar := proc(arr_a)
global ATS_MAX_TERMS;
local iii;
iii := 1;
while (iii <= ATS_MAX_TERMS) do # do number 1
arr_a [iii] := glob__0;
iii := iii + 1;
od;# end do number 1
end;
# End Function number 10
# Begin Function number 11
ats := proc(mmm_ats,arr_a,arr_b,jjj_ats)
global ATS_MAX_TERMS;
local iii_ats, lll_ats,ma_ats, ret_ats;
ret_ats := glob__0;
if (jjj_ats <= mmm_ats) then # if number 5
ma_ats := mmm_ats + 1;
iii_ats := jjj_ats;
while (iii_ats <= mmm_ats) do # do number 1
lll_ats := ma_ats - iii_ats;
if ((lll_ats <= ATS_MAX_TERMS and (iii_ats <= ATS_MAX_TERMS) )) then # if number 6
ret_ats := ret_ats + c(arr_a[iii_ats])*c(arr_b[lll_ats]);
fi;# end if 6;
iii_ats := iii_ats + 1;
od;# end do number 1
fi;# end if 5;
ret_ats;
end;
# End Function number 11
# Begin Function number 12
att := proc(mmm_att,arr_aa,arr_bb,jjj_att)
global ATS_MAX_TERMS;
local al_att, iii_att,lll_att, ma_att, ret_att;
ret_att := glob__0;
if (jjj_att < mmm_att) then # if number 5
ma_att := mmm_att + 2;
iii_att := jjj_att;
while ((iii_att < mmm_att) and (iii_att <= ATS_MAX_TERMS) ) do # do number 1
lll_att := ma_att - iii_att;
al_att := (lll_att - 1);
if ((lll_att <= ATS_MAX_TERMS and (iii_att <= ATS_MAX_TERMS) )) then # if number 6
ret_att := ret_att + c(arr_aa[iii_att])*c(arr_bb[lll_att])* c(al_att);
fi;# end if 6;
iii_att := iii_att + 1;
od;# end do number 1;
ret_att := ret_att / c(mmm_att) ;
fi;# end if 5;
ret_att;
end;
# End Function number 12
# Begin Function number 13
logditto := proc(file)
fprintf(file,"");
fprintf(file,"ditto");
fprintf(file," | ");
end;
# End Function number 13
# Begin Function number 14
logitem_integer := proc(file,n)
fprintf(file,"");
fprintf(file,"%d",n);
fprintf(file," | ");
end;
# End Function number 14
# Begin Function number 15
logitem_str := proc(file,str)
fprintf(file,"");
fprintf(file,str);
fprintf(file," | ");
end;
# End Function number 15
# Begin Function number 16
logitem_good_digits := proc(file,rel_error)
global glob_small_float,glob_prec;
local good_digits;
fprintf(file,"");
fprintf(file,"%d",glob_min_good_digits);
fprintf(file," | ");
end;
# End Function number 16
# Begin Function number 17
log_revs := proc(file,revs)
fprintf(file,revs);
end;
# End Function number 17
# Begin Function number 18
logitem_float := proc(file,x)
fprintf(file,"");
fprintf(file,"%g",x);
fprintf(file," | ");
end;
# End Function number 18
# Begin Function number 19
logitem_complex := proc(file,x)
fprintf(file,"");
fprintf(file,"%g + %g I",Re(x),Im(x));
fprintf(file," | ");
end;
# End Function number 19
# Begin Function number 20
logitem_h_reason := proc(file)
global glob_h_reason;
fprintf(file,"");
if (glob_h_reason = 1) then # if number 5
fprintf(file,"Max H");
elif
(glob_h_reason = 2) then # if number 6
fprintf(file,"Display Interval");
elif
(glob_h_reason = 3) then # if number 7
fprintf(file,"Optimal");
elif
(glob_h_reason = 4) then # if number 8
fprintf(file,"Pole Accuracy");
elif
(glob_h_reason = 5) then # if number 9
fprintf(file,"Min H (Pole)");
elif
(glob_h_reason = 6) then # if number 10
fprintf(file,"Pole");
elif
(glob_h_reason = 7) then # if number 11
fprintf(file,"Opt Iter");
else
fprintf(file,"Impossible");
fi;# end if 11
fprintf(file," | ");
end;
# End Function number 20
# Begin Function number 21
logstart := proc(file)
fprintf(file,"");
end;
# End Function number 21
# Begin Function number 22
logend := proc(file)
fprintf(file,"
\n");
end;
# End Function number 22
# Begin Function number 23
chk_data := proc()
global glob_max_iter,ALWAYS, ATS_MAX_TERMS;
local errflag;
errflag := false;
if (glob_max_iter < 2) then # if number 11
omniout_str(ALWAYS,"Illegal max_iter");
errflag := true;
fi;# end if 11;
if (errflag) then # if number 11
quit;
fi;# end if 11
end;
# End Function number 23
# Begin Function number 24
comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec2)
global glob_small_float;
local ms2, rrr, sec_left, sub1, sub2;
;
ms2 := c(clock_sec2);
sub1 := c(t_end2-t_start2);
sub2 := c(t2-t_start2);
if (sub1 = glob__0) then # if number 11
sec_left := glob__0;
else
if (sub2 > glob__0) then # if number 12
rrr := (sub1/sub2);
sec_left := rrr * c(ms2) - c(ms2);
else
sec_left := glob__0;
fi;# end if 12
fi;# end if 11;
sec_left;
end;
# End Function number 24
# Begin Function number 25
comp_percent := proc(t_end2,t_start2, t2)
global glob_small_float;
local rrr, sub1, sub2;
sub1 := (t_end2-t_start2);
sub2 := (t2-t_start2);
if (sub2 > glob_small_float) then # if number 11
rrr := (glob__100*sub2)/sub1;
else
rrr := 0.0;
fi;# end if 11;
rrr;
end;
# End Function number 25
# Begin Function number 26
comp_rad_from_ratio := proc(term1,term2,last_no)
#TOP TWO TERM RADIUS ANALYSIS
global glob_h,glob_larger_float;
local ret;
if (float_abs(term2) > glob__0) then # if number 11
ret := float_abs(term1 * glob_h / term2);
else
ret := glob_larger_float;
fi;# end if 11;
ret;
#BOTTOM TWO TERM RADIUS ANALYSIS
end;
# End Function number 26
# Begin Function number 27
comp_ord_from_ratio := proc(term1,term2,last_no)
#TOP TWO TERM ORDER ANALYSIS
global glob_h,glob_larger_float;
local ret;
if (float_abs(term2) > glob__0) then # if number 11
ret := glob__1 + float_abs(term2) * c(last_no) * ln(float_abs(term1 * glob_h / term2))/ln(c(last_no));
else
ret := glob_larger_float;
fi;# end if 11;
ret;
#BOTTOM TWO TERM ORDER ANALYSIS
end;
# End Function number 27
# Begin Function number 28
c := proc(in_val)
#To Force Conversion when needed
local ret;
ret := evalc(in_val);
ret;
#End Conversion
end;
# End Function number 28
# Begin Function number 29
comp_rad_from_three_terms := proc(term1,term2,term3,last_no)
#TOP THREE TERM RADIUS ANALYSIS
global glob_h,glob_larger_float;
local ret,temp;
temp := float_abs(term2*term2*c(last_no)+glob__m2*term2*term2-term1*term3*c(last_no)+term1*term3);
if (float_abs(temp) > glob__0) then # if number 11
ret := float_abs((term2*glob_h*term1)/(temp));
else
ret := glob_larger_float;
fi;# end if 11;
ret;
#BOTTOM THREE TERM RADIUS ANALYSIS
end;
# End Function number 29
# Begin Function number 30
comp_ord_from_three_terms := proc(term1,term2,term3,last_no)
#TOP THREE TERM ORDER ANALYSIS
local ret;
ret := float_abs((glob__4*term1*term3*c(last_no)-glob__3*term1*term3-glob__4*term2*term2*c(last_no)+glob__4*term2*term2+term2*term2*c(last_no*last_no)-term1*term3*c(last_no*last_no))/(term2*term2*c(last_no)-glob__2*term2*term2-term1*term3*c(last_no)+term1*term3));
ret;
#TOP THREE TERM ORDER ANALYSIS
end;
# End Function number 30
# Begin Function number 31
comp_rad_from_six_terms := proc(term1,term2,term3,term4,term5,term6,last_no)
#TOP SIX TERM RADIUS ANALYSIS
global glob_h,glob_larger_float,glob_six_term_ord_save;
local ret,rm0,rm1,rm2,rm3,rm4,nr1,nr2,dr1,dr2,ds2,rad_c,ord_no,ds1,rcs;
if ((term5 <> glob__0) and (term4 <> glob__0) and (term3 <> glob__0) and (term2 <> glob__0) and (term1 <> glob__0)) then # if number 11
rm0 := term6/term5;
rm1 := term5/term4;
rm2 := term4/term3;
rm3 := term3/term2;
rm4 := term2/term1;
nr1 := c(last_no-1)*rm0 - glob__2*c(last_no-2)*rm1 + c(last_no-3)*rm2;
nr2 := c(last_no-2)*rm1 - glob__2*c(last_no-3)*rm2 + c(last_no-4)*rm3;
dr1 := glob__m1/rm1 + glob__2/rm2 - glob__1/rm3;
dr2 := glob__m1/rm2 + glob__2/rm3 - glob__1/rm4;
ds1 := glob__3/rm1 - glob__8/rm2 + glob__5/rm3;
ds2 := glob__3/rm2 - glob__8/rm3 + glob__5/rm4;
if ((float_abs(nr1 * dr2 - nr2 * dr1) = glob__0) or (float_abs(dr1) = glob__0)) then # if number 12
rad_c := glob_larger_float;
ord_no := glob_larger_float;
else
if (float_abs(nr1*dr2 - nr2 * dr1) > glob__0) then # if number 13
rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1));
#(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1)
ord_no := (rcs*nr1 - ds1)/(glob__2*dr1) -c(last_no)/glob__2;
if (float_abs(rcs) <> glob__0) then # if number 14
if (rcs > glob__0) then # if number 15
rad_c := float_abs( sqrt(rcs) * float_abs(glob_h));
else
rad_c := glob_larger_float;
ord_no := glob_larger_float;
fi;# end if 15
else
rad_c := glob_larger_float;
ord_no := glob_larger_float;
fi;# end if 14
else
rad_c := glob_larger_float;
ord_no := glob_larger_float;
fi;# end if 13
fi;# end if 12
else
rad_c := glob_larger_float;
ord_no := glob_larger_float;
fi;# end if 11;
glob_six_term_ord_save := ord_no;
rad_c;
#BOTTOM SIX TERM RADIUS ANALYSIS
end;
# End Function number 31
# Begin Function number 32
comp_ord_from_six_terms := proc(term1,term2,term3,term4,term5,term6,last_no)
global glob_six_term_ord_save;
#TOP SIX TERM ORDER ANALYSIS
#TOP SAVED FROM SIX TERM RADIUS ANALYSIS
glob_six_term_ord_save;
#BOTTOM SIX TERM ORDER ANALYSIS
end;
# End Function number 32
# Begin Function number 33
factorial_2 := proc(nnn)
ret := nnn!;
ret;;
end;
# End Function number 33
# Begin Function number 34
factorial_1 := proc(nnn)
global ATS_MAX_TERMS,array_fact_1;
local ret;
if (nnn <= ATS_MAX_TERMS) then # if number 11
if (array_fact_1[nnn] = 0) then # if number 12
ret := factorial_2(nnn);
array_fact_1[nnn] := ret;
else
ret := array_fact_1[nnn];
fi;# end if 12;
else
ret := factorial_2(nnn);
fi;# end if 11;
ret;
end;
# End Function number 34
# Begin Function number 35
factorial_3 := proc(mmm,nnn)
global ATS_MAX_TERMS,array_fact_2;
local ret;
if ((nnn <= ATS_MAX_TERMS) and (mmm <= ATS_MAX_TERMS)) then # if number 11
if (array_fact_2[mmm,nnn] = 0) then # if number 12
ret := factorial_1(mmm)/factorial_1(nnn);
array_fact_2[mmm,nnn] := ret;
else
ret := array_fact_2[mmm,nnn];
fi;# end if 12;
else
ret := factorial_2(mmm)/factorial_2(nnn);
fi;# end if 11;
ret;
end;
# End Function number 35
# Begin Function number 36
convfloat := proc(mmm)
(mmm);
end;
# End Function number 36
# Begin Function number 37
elapsed_time_seconds := proc()
time();
end;
# End Function number 37
# Begin Function number 38
float_abs := proc(x)
abs(x);
end;
# End Function number 38
# Begin Function number 39
expt := proc(x,y)
x^y;
end;
# End Function number 39
# Begin Function number 40
neg := proc(x)
-x;
end;
# End Function number 40
# Begin Function number 41
int_trunc := proc(x)
trunc(x);
end;
# End Function number 41
# Begin Function number 42
estimated_needed_step_error := proc(x_start,x_end,estimated_h,estimated_answer)
local desired_abs_gbl_error,range,estimated_steps,step_error;
global glob_desired_digits_correct,ALWAYS,ATS_MAX_TERMS;
omniout_float(ALWAYS,"glob_desired_digits_correct",32,glob_desired_digits_correct,32,"");
desired_abs_gbl_error := expt(glob__10,c( -glob_desired_digits_correct)) * c(float_abs(c(estimated_answer)));
omniout_float(ALWAYS,"estimated_h",32,estimated_h,32,"");
omniout_float(ALWAYS,"estimated_answer",32,estimated_answer,32,"");
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,"");
estimated_steps := range / estimated_h;
omniout_float(ALWAYS,"estimated_steps",32,estimated_steps,32,"");
step_error := (c(float_abs(desired_abs_gbl_error) /sqrt(c( estimated_steps))/c(ATS_MAX_TERMS)));
omniout_float(ALWAYS,"step_error",32,step_error,32,"");
(step_error);;
end;
# End Function number 42
#END ATS LIBRARY BLOCK
#BEGIN USER FUNCTION BLOCK
#BEGIN BLOCK 3
#BEGIN USER DEF BLOCK
exact_soln_y := proc(x)
return(tan(sqrt(c(2.0)*c(x) + c(1.0))));
end;
next_delta := proc()
global glob_nxt, x_delta;
x_delta := [ 0.001 + 0.00004 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.0001 + 0.004 * I,
0.003 + 0.006 * I,
0.0001 + 0.005 * I,
0.0001 + 0.003 * I,
0.001 + 0.001 * I,
0.001 + 0.003 * I,
0.000 + 0.000 * I ];
glob_nxt := glob_nxt + 1;
it := x_delta[glob_nxt];
return it;
end;
#END USER DEF BLOCK
#END BLOCK 3
#END USER FUNCTION BLOCK
# before write_aux functions
# Begin Function number 2
display_poles := proc()
local rad_given;
global ALWAYS,glob_display_flag,glob_larger_float, glob_large_float, glob_diff_ord_fm, glob_diff_ord_fmm1, glob_diff_ord_fmm2, glob_diff_rc_fm, glob_diff_rc_fmm1, glob_diff_rc_fmm2, glob_guess_error_ord, glob_guess_error_rc, glob_type_given_pole,array_given_rad_poles,array_given_ord_poles,array_rad_test_poles,array_ord_test_poles,glob_least_3_sing,glob_least_6_sing,glob_least_given_sing,glob_least_ratio_sing,array_x ;
if ((glob_type_given_pole = 1) or (glob_type_given_pole = 2)) then # if number 1
rad_given := float_abs(array_x[1] - (array_given_rad_poles[1,1] + array_given_rad_poles[1,2] * I ));
omniout_float(ALWAYS,"Radius of convergence (given) for eq 1 ",4,rad_given,4," ");
omniout_complex(ALWAYS,"Order of pole (given) ",4,array_given_ord_poles[1,1],4," ");
if ((float_abs(rad_given) < float_abs(glob_least_given_sing)) and
(float_abs(rad_given) > 0.0)) then # if number 2
glob_least_given_sing := rad_given;
fi;# end if 2;
elif
(glob_type_given_pole = 3) then # if number 2
omniout_str(ALWAYS,"NO POLE (given) for Equation 1");
elif
(glob_type_given_pole = 5) then # if number 3
omniout_str(ALWAYS,"SOME POLE (given) for Equation 1");
else
omniout_str(ALWAYS,"NO INFO (given) for Equation 1");
fi;# end if 3;
if (array_rad_test_poles[1,1] < glob_large_float) then # if number 3
omniout_float(ALWAYS,"Radius of convergence (ratio test) for eq 1 ",4,array_rad_test_poles[1,1],4," ");
if ((float_abs(array_rad_test_poles[1,1]) < glob_least_ratio_sing)) then # if number 4
glob_least_ratio_sing := array_rad_test_poles[1,1];
fi;# end if 4;
omniout_complex(ALWAYS,"Order of pole (ratio test) ",4, array_ord_test_poles[1,1],4," ");
else
omniout_str(ALWAYS,"NO POLE (ratio test) for Equation 1");
fi;# end if 3;
if ((array_rad_test_poles[1,2] > glob__small) and (array_rad_test_poles[1,2] < glob_large_float)) then # if number 3
omniout_float(ALWAYS,"Radius of convergence (three term test) for eq 1 ",4,array_rad_test_poles[1,2],4," ");
if ((float_abs(array_rad_test_poles[1,2]) < glob_least_3_sing)) then # if number 4
glob_least_3_sing := array_rad_test_poles[1,2];
fi;# end if 4;
omniout_complex(ALWAYS,"Order of pole (three term test) ",4, array_ord_test_poles[1,2],4," ");
else
omniout_str(ALWAYS,"NO REAL POLE (three term test) for Equation 1");
fi;# end if 3;
if ((array_rad_test_poles[1,3] > glob__small) and (array_rad_test_poles[1,3] < glob_large_float)) then # if number 3
omniout_float(ALWAYS,"Radius of convergence (six term test) for eq 1 ",4,array_rad_test_poles[1,3],4," ");
if ((float_abs(array_rad_test_poles[1,3]) < glob_least_6_sing)) then # if number 4
glob_least_6_sing := array_rad_test_poles[1,3];
fi;# end if 4;
omniout_complex(ALWAYS,"Order of pole (six term test) ",4, array_ord_test_poles[1,3],4," ");
else
omniout_str(ALWAYS,"NO COMPLEX POLE (six term test) for Equation 1");
fi;# end if 3
;
end;
# End Function number 2
# Begin Function number 3
my_check_sign := proc( x0 ,xf)
local ret;
if (xf > x0) then # if number 3
ret := glob__1;
else
ret := glob__m1;
fi;# end if 3;
ret;;
end;
# End Function number 3
# Begin Function number 4
est_size_answer := proc()
global
ALWAYS,
INFO,
DEBUGL,
DEBUGMASSIVE,
glob_iolevel,
glob_yes_pole,
glob_no_pole,
glob_not_given,
glob_no_sing_tests,
glob_ratio_test,
glob_three_term_test,
glob_six_term_test,
glob_log_10,
#Top Generate Globals Decl
MAX_UNCHANGED,
glob__small,
glob_small_float,
glob_smallish_float,
glob_large_float,
glob_larger_float,
glob__m2,
glob__m1,
glob__0,
glob__1,
glob__2,
glob__3,
glob__4,
glob__5,
glob__8,
glob__10,
glob__100,
glob__pi,
glob__0_5,
glob__0_8,
glob__m0_8,
glob__0_25,
glob__0_125,
glob_h,
glob_nxt,
glob_prec,
glob_check_sign,
glob_desired_digits_correct,
glob_max_estimated_step_error,
glob_ratio_of_radius,
glob_percent_done,
glob_total_exp_sec,
glob_optimal_expect_sec,
glob_estimated_size_answer,
glob_almost_1,
glob_clock_sec,
glob_clock_start_sec,
glob_disp_incr,
glob_diff_rc_fm,
glob_diff_rc_fmm1,
glob_diff_rc_fmm2,
glob_diff_ord_fm,
glob_diff_ord_fmm1,
glob_diff_ord_fmm2,
glob_six_term_ord_save,
glob_guess_error_rc,
glob_guess_error_ord,
glob_least_given_sing,
glob_least_ratio_sing,
glob_least_3_sing,
glob_least_6_sing,
glob_last_good_h,
glob_max_h,
glob_min_h,
glob_display_interval,
glob_abserr,
glob_relerr,
glob_min_pole_est,
glob_max_rel_trunc_err,
glob_max_trunc_err,
glob_max_hours,
glob_optimal_clock_start_sec,
glob_optimal_start,
glob_upper_ratio_limit,
glob_lower_ratio_limit,
glob_max_sec,
glob_orig_start_sec,
glob_normmax,
glob_max_minutes,
glob_next_display,
glob_est_digits,
glob_subiter_method,
glob_html_log,
glob_min_good_digits,
glob_good_digits,
glob_min_apfp_est_good_digits,
glob_apfp_est_good_digits,
glob_max_opt_iter,
glob_dump,
glob_djd_debug,
glob_display_flag,
glob_djd_debug2,
glob_h_reason,
glob_sec_in_minute,
glob_min_in_hour,
glob_hours_in_day,
glob_days_in_year,
glob_sec_in_hour,
glob_sec_in_day,
glob_sec_in_year,
glob_not_yet_finished,
glob_initial_pass,
glob_not_yet_start_msg,
glob_reached_optimal_h,
glob_optimal_done,
glob_type_given_pole,
glob_optimize,
glob_look_poles,
glob_dump_closed_form,
glob_max_iter,
glob_no_eqs,
glob_unchanged_h_cnt,
glob_warned,
glob_warned2,
glob_start,
glob_iter,
#Bottom Generate Globals Decl
#BEGIN CONST
array_const_1,
array_const_0D0,
array_const_1D0,
array_const_2D0,
#END CONST
array_y_init,
array_norms,
array_fact_1,
array_1st_rel_error,
array_last_rel_error,
array_est_rel_error,
array_max_est_error,
array_type_pole,
array_type_real_pole,
array_type_complex_pole,
array_est_digits,
array_y,
array_x,
array_tmp0,
array_tmp1,
array_tmp2,
array_tmp3,
array_tmp4_g,
array_tmp4_a1,
array_tmp4_a2,
array_tmp4,
array_tmp5,
array_tmp6,
array_tmp7,
array_tmp8_g,
array_tmp8_a1,
array_tmp8_a2,
array_tmp8,
array_tmp9,
array_tmp10,
array_tmp11,
array_tmp12,
array_tmp13,
array_tmp14,
array_tmp15,
array_m1,
array_y_higher,
array_y_higher_work,
array_y_higher_work2,
array_y_set_initial,
array_given_rad_poles,
array_given_ord_poles,
array_rad_test_poles,
array_ord_test_poles,
array_fact_2,
ATS_MAX_TERMS,
glob_last;
local min_size;
min_size := glob_estimated_size_answer;
if (float_abs(array_y[1]) < min_size) then # if number 3
min_size := float_abs(array_y[1]);
omniout_float(ALWAYS,"min_size",32,min_size,32,"");
fi;# end if 3;
if (min_size < glob__1) then # if number 3
min_size := glob__1;
omniout_float(ALWAYS,"min_size",32,min_size,32,"");
fi;# end if 3;
min_size;
end;
# End Function number 4
# Begin Function number 5
test_suggested_h := proc()
global
ALWAYS,
INFO,
DEBUGL,
DEBUGMASSIVE,
glob_iolevel,
glob_yes_pole,
glob_no_pole,
glob_not_given,
glob_no_sing_tests,
glob_ratio_test,
glob_three_term_test,
glob_six_term_test,
glob_log_10,
#Top Generate Globals Decl
MAX_UNCHANGED,
glob__small,
glob_small_float,
glob_smallish_float,
glob_large_float,
glob_larger_float,
glob__m2,
glob__m1,
glob__0,
glob__1,
glob__2,
glob__3,
glob__4,
glob__5,
glob__8,
glob__10,
glob__100,
glob__pi,
glob__0_5,
glob__0_8,
glob__m0_8,
glob__0_25,
glob__0_125,
glob_h,
glob_nxt,
glob_prec,
glob_check_sign,
glob_desired_digits_correct,
glob_max_estimated_step_error,
glob_ratio_of_radius,
glob_percent_done,
glob_total_exp_sec,
glob_optimal_expect_sec,
glob_estimated_size_answer,
glob_almost_1,
glob_clock_sec,
glob_clock_start_sec,
glob_disp_incr,
glob_diff_rc_fm,
glob_diff_rc_fmm1,
glob_diff_rc_fmm2,
glob_diff_ord_fm,
glob_diff_ord_fmm1,
glob_diff_ord_fmm2,
glob_six_term_ord_save,
glob_guess_error_rc,
glob_guess_error_ord,
glob_least_given_sing,
glob_least_ratio_sing,
glob_least_3_sing,
glob_least_6_sing,
glob_last_good_h,
glob_max_h,
glob_min_h,
glob_display_interval,
glob_abserr,
glob_relerr,
glob_min_pole_est,
glob_max_rel_trunc_err,
glob_max_trunc_err,
glob_max_hours,
glob_optimal_clock_start_sec,
glob_optimal_start,
glob_upper_ratio_limit,
glob_lower_ratio_limit,
glob_max_sec,
glob_orig_start_sec,
glob_normmax,
glob_max_minutes,
glob_next_display,
glob_est_digits,
glob_subiter_method,
glob_html_log,
glob_min_good_digits,
glob_good_digits,
glob_min_apfp_est_good_digits,
glob_apfp_est_good_digits,
glob_max_opt_iter,
glob_dump,
glob_djd_debug,
glob_display_flag,
glob_djd_debug2,
glob_h_reason,
glob_sec_in_minute,
glob_min_in_hour,
glob_hours_in_day,
glob_days_in_year,
glob_sec_in_hour,
glob_sec_in_day,
glob_sec_in_year,
glob_not_yet_finished,
glob_initial_pass,
glob_not_yet_start_msg,
glob_reached_optimal_h,
glob_optimal_done,
glob_type_given_pole,
glob_optimize,
glob_look_poles,
glob_dump_closed_form,
glob_max_iter,
glob_no_eqs,
glob_unchanged_h_cnt,
glob_warned,
glob_warned2,
glob_start,
glob_iter,
#Bottom Generate Globals Decl
#BEGIN CONST
array_const_1,
array_const_0D0,
array_const_1D0,
array_const_2D0,
#END CONST
array_y_init,
array_norms,
array_fact_1,
array_1st_rel_error,
array_last_rel_error,
array_est_rel_error,
array_max_est_error,
array_type_pole,
array_type_real_pole,
array_type_complex_pole,
array_est_digits,
array_y,
array_x,
array_tmp0,
array_tmp1,
array_tmp2,
array_tmp3,
array_tmp4_g,
array_tmp4_a1,
array_tmp4_a2,
array_tmp4,
array_tmp5,
array_tmp6,
array_tmp7,
array_tmp8_g,
array_tmp8_a1,
array_tmp8_a2,
array_tmp8,
array_tmp9,
array_tmp10,
array_tmp11,
array_tmp12,
array_tmp13,
array_tmp14,
array_tmp15,
array_m1,
array_y_higher,
array_y_higher_work,
array_y_higher_work2,
array_y_set_initial,
array_given_rad_poles,
array_given_ord_poles,
array_rad_test_poles,
array_ord_test_poles,
array_fact_2,
ATS_MAX_TERMS,
glob_last;
local max_estimated_step_error,hn_div_ho,hn_div_ho_2,hn_div_ho_3,no_terms,est_tmp;
max_estimated_step_error := glob__small;
no_terms := ATS_MAX_TERMS;
hn_div_ho := glob__0_5;
hn_div_ho_2 := glob__0_25;
hn_div_ho_3 := glob__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,"");
est_tmp := float_abs(array_y[no_terms-3] + array_y[no_terms - 2] * hn_div_ho + array_y[no_terms - 1] * hn_div_ho_2 + array_y[no_terms] * hn_div_ho_3);
if (est_tmp >= max_estimated_step_error) then # if number 3
max_estimated_step_error := est_tmp;
fi;# end if 3;
omniout_float(ALWAYS,"max_estimated_step_error",32,max_estimated_step_error,32,"");
max_estimated_step_error;
end;
# End Function number 5
# Begin Function number 6
track_estimated_error := proc()
global
ALWAYS,
INFO,
DEBUGL,
DEBUGMASSIVE,
glob_iolevel,
glob_yes_pole,
glob_no_pole,
glob_not_given,
glob_no_sing_tests,
glob_ratio_test,
glob_three_term_test,
glob_six_term_test,
glob_log_10,
#Top Generate Globals Decl
MAX_UNCHANGED,
glob__small,
glob_small_float,
glob_smallish_float,
glob_large_float,
glob_larger_float,
glob__m2,
glob__m1,
glob__0,
glob__1,
glob__2,
glob__3,
glob__4,
glob__5,
glob__8,
glob__10,
glob__100,
glob__pi,
glob__0_5,
glob__0_8,
glob__m0_8,
glob__0_25,
glob__0_125,
glob_h,
glob_nxt,
glob_prec,
glob_check_sign,
glob_desired_digits_correct,
glob_max_estimated_step_error,
glob_ratio_of_radius,
glob_percent_done,
glob_total_exp_sec,
glob_optimal_expect_sec,
glob_estimated_size_answer,
glob_almost_1,
glob_clock_sec,
glob_clock_start_sec,
glob_disp_incr,
glob_diff_rc_fm,
glob_diff_rc_fmm1,
glob_diff_rc_fmm2,
glob_diff_ord_fm,
glob_diff_ord_fmm1,
glob_diff_ord_fmm2,
glob_six_term_ord_save,
glob_guess_error_rc,
glob_guess_error_ord,
glob_least_given_sing,
glob_least_ratio_sing,
glob_least_3_sing,
glob_least_6_sing,
glob_last_good_h,
glob_max_h,
glob_min_h,
glob_display_interval,
glob_abserr,
glob_relerr,
glob_min_pole_est,
glob_max_rel_trunc_err,
glob_max_trunc_err,
glob_max_hours,
glob_optimal_clock_start_sec,
glob_optimal_start,
glob_upper_ratio_limit,
glob_lower_ratio_limit,
glob_max_sec,
glob_orig_start_sec,
glob_normmax,
glob_max_minutes,
glob_next_display,
glob_est_digits,
glob_subiter_method,
glob_html_log,
glob_min_good_digits,
glob_good_digits,
glob_min_apfp_est_good_digits,
glob_apfp_est_good_digits,
glob_max_opt_iter,
glob_dump,
glob_djd_debug,
glob_display_flag,
glob_djd_debug2,
glob_h_reason,
glob_sec_in_minute,
glob_min_in_hour,
glob_hours_in_day,
glob_days_in_year,
glob_sec_in_hour,
glob_sec_in_day,
glob_sec_in_year,
glob_not_yet_finished,
glob_initial_pass,
glob_not_yet_start_msg,
glob_reached_optimal_h,
glob_optimal_done,
glob_type_given_pole,
glob_optimize,
glob_look_poles,
glob_dump_closed_form,
glob_max_iter,
glob_no_eqs,
glob_unchanged_h_cnt,
glob_warned,
glob_warned2,
glob_start,
glob_iter,
#Bottom Generate Globals Decl
#BEGIN CONST
array_const_1,
array_const_0D0,
array_const_1D0,
array_const_2D0,
#END CONST
array_y_init,
array_norms,
array_fact_1,
array_1st_rel_error,
array_last_rel_error,
array_est_rel_error,
array_max_est_error,
array_type_pole,
array_type_real_pole,
array_type_complex_pole,
array_est_digits,
array_y,
array_x,
array_tmp0,
array_tmp1,
array_tmp2,
array_tmp3,
array_tmp4_g,
array_tmp4_a1,
array_tmp4_a2,
array_tmp4,
array_tmp5,
array_tmp6,
array_tmp7,
array_tmp8_g,
array_tmp8_a1,
array_tmp8_a2,
array_tmp8,
array_tmp9,
array_tmp10,
array_tmp11,
array_tmp12,
array_tmp13,
array_tmp14,
array_tmp15,
array_m1,
array_y_higher,
array_y_higher_work,
array_y_higher_work2,
array_y_set_initial,
array_given_rad_poles,
array_given_ord_poles,
array_rad_test_poles,
array_ord_test_poles,
array_fact_2,
ATS_MAX_TERMS,
glob_last;
local hn_div_ho,hn_div_ho_2,hn_div_ho_3,no_terms,est_tmp;
no_terms := ATS_MAX_TERMS;
hn_div_ho := glob__0_5;
hn_div_ho_2 := glob__0_25;
hn_div_ho_3 := glob__0_125;
est_tmp := c(float_abs(array_y[no_terms-3])) + c(float_abs(array_y[no_terms - 2])) * c(hn_div_ho) + c(float_abs(array_y[no_terms - 1])) * c(hn_div_ho_2) + c(float_abs(array_y[no_terms])) * c(hn_div_ho_3);
if (glob_prec * c(float_abs(array_y[1])) > c(est_tmp)) then # if number 3
est_tmp := c(glob_prec) * c(float_abs(array_y[1]));
fi;# end if 3;
if (c(est_tmp) >= c(array_max_est_error[1])) then # if number 3
array_max_est_error[1] := c(est_tmp);
fi;# end if 3
;
end;
# End Function number 6
# Begin Function number 7
reached_interval := proc()
global
ALWAYS,
INFO,
DEBUGL,
DEBUGMASSIVE,
glob_iolevel,
glob_yes_pole,
glob_no_pole,
glob_not_given,
glob_no_sing_tests,
glob_ratio_test,
glob_three_term_test,
glob_six_term_test,
glob_log_10,
#Top Generate Globals Decl
MAX_UNCHANGED,
glob__small,
glob_small_float,
glob_smallish_float,
glob_large_float,
glob_larger_float,
glob__m2,
glob__m1,
glob__0,
glob__1,
glob__2,
glob__3,
glob__4,
glob__5,
glob__8,
glob__10,
glob__100,
glob__pi,
glob__0_5,
glob__0_8,
glob__m0_8,
glob__0_25,
glob__0_125,
glob_h,
glob_nxt,
glob_prec,
glob_check_sign,
glob_desired_digits_correct,
glob_max_estimated_step_error,
glob_ratio_of_radius,
glob_percent_done,
glob_total_exp_sec,
glob_optimal_expect_sec,
glob_estimated_size_answer,
glob_almost_1,
glob_clock_sec,
glob_clock_start_sec,
glob_disp_incr,
glob_diff_rc_fm,
glob_diff_rc_fmm1,
glob_diff_rc_fmm2,
glob_diff_ord_fm,
glob_diff_ord_fmm1,
glob_diff_ord_fmm2,
glob_six_term_ord_save,
glob_guess_error_rc,
glob_guess_error_ord,
glob_least_given_sing,
glob_least_ratio_sing,
glob_least_3_sing,
glob_least_6_sing,
glob_last_good_h,
glob_max_h,
glob_min_h,
glob_display_interval,
glob_abserr,
glob_relerr,
glob_min_pole_est,
glob_max_rel_trunc_err,
glob_max_trunc_err,
glob_max_hours,
glob_optimal_clock_start_sec,
glob_optimal_start,
glob_upper_ratio_limit,
glob_lower_ratio_limit,
glob_max_sec,
glob_orig_start_sec,
glob_normmax,
glob_max_minutes,
glob_next_display,
glob_est_digits,
glob_subiter_method,
glob_html_log,
glob_min_good_digits,
glob_good_digits,
glob_min_apfp_est_good_digits,
glob_apfp_est_good_digits,
glob_max_opt_iter,
glob_dump,
glob_djd_debug,
glob_display_flag,
glob_djd_debug2,
glob_h_reason,
glob_sec_in_minute,
glob_min_in_hour,
glob_hours_in_day,
glob_days_in_year,
glob_sec_in_hour,
glob_sec_in_day,
glob_sec_in_year,
glob_not_yet_finished,
glob_initial_pass,
glob_not_yet_start_msg,
glob_reached_optimal_h,
glob_optimal_done,
glob_type_given_pole,
glob_optimize,
glob_look_poles,
glob_dump_closed_form,
glob_max_iter,
glob_no_eqs,
glob_unchanged_h_cnt,
glob_warned,
glob_warned2,
glob_start,
glob_iter,
#Bottom Generate Globals Decl
#BEGIN CONST
array_const_1,
array_const_0D0,
array_const_1D0,
array_const_2D0,
#END CONST
array_y_init,
array_norms,
array_fact_1,
array_1st_rel_error,
array_last_rel_error,
array_est_rel_error,
array_max_est_error,
array_type_pole,
array_type_real_pole,
array_type_complex_pole,
array_est_digits,
array_y,
array_x,
array_tmp0,
array_tmp1,
array_tmp2,
array_tmp3,
array_tmp4_g,
array_tmp4_a1,
array_tmp4_a2,
array_tmp4,
array_tmp5,
array_tmp6,
array_tmp7,
array_tmp8_g,
array_tmp8_a1,
array_tmp8_a2,
array_tmp8,
array_tmp9,
array_tmp10,
array_tmp11,
array_tmp12,
array_tmp13,
array_tmp14,
array_tmp15,
array_m1,
array_y_higher,
array_y_higher_work,
array_y_higher_work2,
array_y_set_initial,
array_given_rad_poles,
array_given_ord_poles,
array_rad_test_poles,
array_ord_test_poles,
array_fact_2,
ATS_MAX_TERMS,
glob_last;
local ret;
if ((glob_check_sign * array_x[1]) >= (glob_check_sign * glob_next_display - glob_h/glob__10)) then # if number 3
ret := true;
else
ret := false;
fi;# end if 3;
return(ret);
end;
# End Function number 7
# Begin Function number 8
display_alot := proc(iter)
global
ALWAYS,
INFO,
DEBUGL,
DEBUGMASSIVE,
glob_iolevel,
glob_yes_pole,
glob_no_pole,
glob_not_given,
glob_no_sing_tests,
glob_ratio_test,
glob_three_term_test,
glob_six_term_test,
glob_log_10,
#Top Generate Globals Decl
MAX_UNCHANGED,
glob__small,
glob_small_float,
glob_smallish_float,
glob_large_float,
glob_larger_float,
glob__m2,
glob__m1,
glob__0,
glob__1,
glob__2,
glob__3,
glob__4,
glob__5,
glob__8,
glob__10,
glob__100,
glob__pi,
glob__0_5,
glob__0_8,
glob__m0_8,
glob__0_25,
glob__0_125,
glob_h,
glob_nxt,
glob_prec,
glob_check_sign,
glob_desired_digits_correct,
glob_max_estimated_step_error,
glob_ratio_of_radius,
glob_percent_done,
glob_total_exp_sec,
glob_optimal_expect_sec,
glob_estimated_size_answer,
glob_almost_1,
glob_clock_sec,
glob_clock_start_sec,
glob_disp_incr,
glob_diff_rc_fm,
glob_diff_rc_fmm1,
glob_diff_rc_fmm2,
glob_diff_ord_fm,
glob_diff_ord_fmm1,
glob_diff_ord_fmm2,
glob_six_term_ord_save,
glob_guess_error_rc,
glob_guess_error_ord,
glob_least_given_sing,
glob_least_ratio_sing,
glob_least_3_sing,
glob_least_6_sing,
glob_last_good_h,
glob_max_h,
glob_min_h,
glob_display_interval,
glob_abserr,
glob_relerr,
glob_min_pole_est,
glob_max_rel_trunc_err,
glob_max_trunc_err,
glob_max_hours,
glob_optimal_clock_start_sec,
glob_optimal_start,
glob_upper_ratio_limit,
glob_lower_ratio_limit,
glob_max_sec,
glob_orig_start_sec,
glob_normmax,
glob_max_minutes,
glob_next_display,
glob_est_digits,
glob_subiter_method,
glob_html_log,
glob_min_good_digits,
glob_good_digits,
glob_min_apfp_est_good_digits,
glob_apfp_est_good_digits,
glob_max_opt_iter,
glob_dump,
glob_djd_debug,
glob_display_flag,
glob_djd_debug2,
glob_h_reason,
glob_sec_in_minute,
glob_min_in_hour,
glob_hours_in_day,
glob_days_in_year,
glob_sec_in_hour,
glob_sec_in_day,
glob_sec_in_year,
glob_not_yet_finished,
glob_initial_pass,
glob_not_yet_start_msg,
glob_reached_optimal_h,
glob_optimal_done,
glob_type_given_pole,
glob_optimize,
glob_look_poles,
glob_dump_closed_form,
glob_max_iter,
glob_no_eqs,
glob_unchanged_h_cnt,
glob_warned,
glob_warned2,
glob_start,
glob_iter,
#Bottom Generate Globals Decl
#BEGIN CONST
array_const_1,
array_const_0D0,
array_const_1D0,
array_const_2D0,
#END CONST
array_y_init,
array_norms,
array_fact_1,
array_1st_rel_error,
array_last_rel_error,
array_est_rel_error,
array_max_est_error,
array_type_pole,
array_type_real_pole,
array_type_complex_pole,
array_est_digits,
array_y,
array_x,
array_tmp0,
array_tmp1,
array_tmp2,
array_tmp3,
array_tmp4_g,
array_tmp4_a1,
array_tmp4_a2,
array_tmp4,
array_tmp5,
array_tmp6,
array_tmp7,
array_tmp8_g,
array_tmp8_a1,
array_tmp8_a2,
array_tmp8,
array_tmp9,
array_tmp10,
array_tmp11,
array_tmp12,
array_tmp13,
array_tmp14,
array_tmp15,
array_m1,
array_y_higher,
array_y_higher_work,
array_y_higher_work2,
array_y_set_initial,
array_given_rad_poles,
array_given_ord_poles,
array_rad_test_poles,
array_ord_test_poles,
array_fact_2,
ATS_MAX_TERMS,
glob_last;
local abserr, closed_form_val_y, ind_var, numeric_val, relerr, term_no, est_rel_err;
#TOP DISPLAY ALOT
ind_var := array_x[1];
omniout_complex(ALWAYS,"x[1] ",33,ind_var,20," ");
term_no := 1;
numeric_val := array_y[term_no];
omniout_complex(ALWAYS,"h ",33,glob_h,20," ");
omniout_complex(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," ");
closed_form_val_y := evalf(exact_soln_y(ind_var));
omniout_complex(ALWAYS,"y[1] (closed_form) ",33,closed_form_val_y,20," ");
abserr := float_abs(numeric_val - closed_form_val_y);
if (float_abs(closed_form_val_y) > 0.0) then # if number 3
relerr := abserr/float_abs(closed_form_val_y);
if (float_abs(c(relerr)) > 0.0) then # if number 4
glob_good_digits := round(-log10(relerr));
else
relerr := 0.0 ;
glob_good_digits := Digits - 2;
fi;# end if 4;
else
;
relerr := glob__m1 ;
glob_good_digits := -16;
fi;# end if 3;
if (glob_good_digits < glob_min_good_digits) then # if number 3
glob_min_good_digits := glob_good_digits;
fi;# end if 3;
omniout_float(ALWAYS,"absolute error ",4,abserr,4," ");
omniout_float(ALWAYS,"relative error ",4,relerr * glob__100 ,4,"%");
omniout_int(INFO,"Correct digits ",32,glob_good_digits,4," ")
;
#BOTTOM DISPLAY ALOT
end;
# End Function number 8
# Begin Function number 9
prog_report := proc(x_start,x_end)
global
ALWAYS,
INFO,
DEBUGL,
DEBUGMASSIVE,
glob_iolevel,
glob_yes_pole,
glob_no_pole,
glob_not_given,
glob_no_sing_tests,
glob_ratio_test,
glob_three_term_test,
glob_six_term_test,
glob_log_10,
#Top Generate Globals Decl
MAX_UNCHANGED,
glob__small,
glob_small_float,
glob_smallish_float,
glob_large_float,
glob_larger_float,
glob__m2,
glob__m1,
glob__0,
glob__1,
glob__2,
glob__3,
glob__4,
glob__5,
glob__8,
glob__10,
glob__100,
glob__pi,
glob__0_5,
glob__0_8,
glob__m0_8,
glob__0_25,
glob__0_125,
glob_h,
glob_nxt,
glob_prec,
glob_check_sign,
glob_desired_digits_correct,
glob_max_estimated_step_error,
glob_ratio_of_radius,
glob_percent_done,
glob_total_exp_sec,
glob_optimal_expect_sec,
glob_estimated_size_answer,
glob_almost_1,
glob_clock_sec,
glob_clock_start_sec,
glob_disp_incr,
glob_diff_rc_fm,
glob_diff_rc_fmm1,
glob_diff_rc_fmm2,
glob_diff_ord_fm,
glob_diff_ord_fmm1,
glob_diff_ord_fmm2,
glob_six_term_ord_save,
glob_guess_error_rc,
glob_guess_error_ord,
glob_least_given_sing,
glob_least_ratio_sing,
glob_least_3_sing,
glob_least_6_sing,
glob_last_good_h,
glob_max_h,
glob_min_h,
glob_display_interval,
glob_abserr,
glob_relerr,
glob_min_pole_est,
glob_max_rel_trunc_err,
glob_max_trunc_err,
glob_max_hours,
glob_optimal_clock_start_sec,
glob_optimal_start,
glob_upper_ratio_limit,
glob_lower_ratio_limit,
glob_max_sec,
glob_orig_start_sec,
glob_normmax,
glob_max_minutes,
glob_next_display,
glob_est_digits,
glob_subiter_method,
glob_html_log,
glob_min_good_digits,
glob_good_digits,
glob_min_apfp_est_good_digits,
glob_apfp_est_good_digits,
glob_max_opt_iter,
glob_dump,
glob_djd_debug,
glob_display_flag,
glob_djd_debug2,
glob_h_reason,
glob_sec_in_minute,
glob_min_in_hour,
glob_hours_in_day,
glob_days_in_year,
glob_sec_in_hour,
glob_sec_in_day,
glob_sec_in_year,
glob_not_yet_finished,
glob_initial_pass,
glob_not_yet_start_msg,
glob_reached_optimal_h,
glob_optimal_done,
glob_type_given_pole,
glob_optimize,
glob_look_poles,
glob_dump_closed_form,
glob_max_iter,
glob_no_eqs,
glob_unchanged_h_cnt,
glob_warned,
glob_warned2,
glob_start,
glob_iter,
#Bottom Generate Globals Decl
#BEGIN CONST
array_const_1,
array_const_0D0,
array_const_1D0,
array_const_2D0,
#END CONST
array_y_init,
array_norms,
array_fact_1,
array_1st_rel_error,
array_last_rel_error,
array_est_rel_error,
array_max_est_error,
array_type_pole,
array_type_real_pole,
array_type_complex_pole,
array_est_digits,
array_y,
array_x,
array_tmp0,
array_tmp1,
array_tmp2,
array_tmp3,
array_tmp4_g,
array_tmp4_a1,
array_tmp4_a2,
array_tmp4,
array_tmp5,
array_tmp6,
array_tmp7,
array_tmp8_g,
array_tmp8_a1,
array_tmp8_a2,
array_tmp8,
array_tmp9,
array_tmp10,
array_tmp11,
array_tmp12,
array_tmp13,
array_tmp14,
array_tmp15,
array_m1,
array_y_higher,
array_y_higher_work,
array_y_higher_work2,
array_y_set_initial,
array_given_rad_poles,
array_given_ord_poles,
array_rad_test_poles,
array_ord_test_poles,
array_fact_2,
ATS_MAX_TERMS,
glob_last;
local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec;
#TOP PROGRESS REPORT
clock_sec1 := elapsed_time_seconds();
total_clock_sec := (clock_sec1) - (glob_orig_start_sec);
glob_clock_sec := (clock_sec1) - (glob_clock_start_sec);
left_sec := (glob_max_sec) + (glob_orig_start_sec) - (clock_sec1);
expect_sec := comp_expect_sec((x_end),(x_start),(array_x[1]) + (glob_h) ,( clock_sec1) - (glob_orig_start_sec));
opt_clock_sec := ( clock_sec1) - (glob_optimal_clock_start_sec);
glob_optimal_expect_sec := comp_expect_sec((x_end),(x_start),(array_x[1]) +( glob_h) ,( opt_clock_sec));
glob_total_exp_sec := glob_optimal_expect_sec + c(total_clock_sec);
percent_done := comp_percent((x_end),(x_start),(array_x[1]) + (glob_h));
glob_percent_done := percent_done;
omniout_str_noeol(INFO,"Total Elapsed Time ");
omniout_timestr((total_clock_sec));
if (c(percent_done) < glob__100) then # if number 3
omniout_str_noeol(INFO,"Expected Time Remaining ");
omniout_timestr((expect_sec));
omniout_str_noeol(INFO,"Optimized Time Remaining ");
omniout_timestr((glob_optimal_expect_sec));
omniout_str_noeol(INFO,"Expected Total Time ");
omniout_timestr((glob_total_exp_sec));
fi;# end if 3;
#BOTTOM PROGRESS REPORT
end;
# End Function number 9
# Begin Function number 10
check_for_pole := proc()
global
ALWAYS,
INFO,
DEBUGL,
DEBUGMASSIVE,
glob_iolevel,
glob_yes_pole,
glob_no_pole,
glob_not_given,
glob_no_sing_tests,
glob_ratio_test,
glob_three_term_test,
glob_six_term_test,
glob_log_10,
#Top Generate Globals Decl
MAX_UNCHANGED,
glob__small,
glob_small_float,
glob_smallish_float,
glob_large_float,
glob_larger_float,
glob__m2,
glob__m1,
glob__0,
glob__1,
glob__2,
glob__3,
glob__4,
glob__5,
glob__8,
glob__10,
glob__100,
glob__pi,
glob__0_5,
glob__0_8,
glob__m0_8,
glob__0_25,
glob__0_125,
glob_h,
glob_nxt,
glob_prec,
glob_check_sign,
glob_desired_digits_correct,
glob_max_estimated_step_error,
glob_ratio_of_radius,
glob_percent_done,
glob_total_exp_sec,
glob_optimal_expect_sec,
glob_estimated_size_answer,
glob_almost_1,
glob_clock_sec,
glob_clock_start_sec,
glob_disp_incr,
glob_diff_rc_fm,
glob_diff_rc_fmm1,
glob_diff_rc_fmm2,
glob_diff_ord_fm,
glob_diff_ord_fmm1,
glob_diff_ord_fmm2,
glob_six_term_ord_save,
glob_guess_error_rc,
glob_guess_error_ord,
glob_least_given_sing,
glob_least_ratio_sing,
glob_least_3_sing,
glob_least_6_sing,
glob_last_good_h,
glob_max_h,
glob_min_h,
glob_display_interval,
glob_abserr,
glob_relerr,
glob_min_pole_est,
glob_max_rel_trunc_err,
glob_max_trunc_err,
glob_max_hours,
glob_optimal_clock_start_sec,
glob_optimal_start,
glob_upper_ratio_limit,
glob_lower_ratio_limit,
glob_max_sec,
glob_orig_start_sec,
glob_normmax,
glob_max_minutes,
glob_next_display,
glob_est_digits,
glob_subiter_method,
glob_html_log,
glob_min_good_digits,
glob_good_digits,
glob_min_apfp_est_good_digits,
glob_apfp_est_good_digits,
glob_max_opt_iter,
glob_dump,
glob_djd_debug,
glob_display_flag,
glob_djd_debug2,
glob_h_reason,
glob_sec_in_minute,
glob_min_in_hour,
glob_hours_in_day,
glob_days_in_year,
glob_sec_in_hour,
glob_sec_in_day,
glob_sec_in_year,
glob_not_yet_finished,
glob_initial_pass,
glob_not_yet_start_msg,
glob_reached_optimal_h,
glob_optimal_done,
glob_type_given_pole,
glob_optimize,
glob_look_poles,
glob_dump_closed_form,
glob_max_iter,
glob_no_eqs,
glob_unchanged_h_cnt,
glob_warned,
glob_warned2,
glob_start,
glob_iter,
#Bottom Generate Globals Decl
#BEGIN CONST
array_const_1,
array_const_0D0,
array_const_1D0,
array_const_2D0,
#END CONST
array_y_init,
array_norms,
array_fact_1,
array_1st_rel_error,
array_last_rel_error,
array_est_rel_error,
array_max_est_error,
array_type_pole,
array_type_real_pole,
array_type_complex_pole,
array_est_digits,
array_y,
array_x,
array_tmp0,
array_tmp1,
array_tmp2,
array_tmp3,
array_tmp4_g,
array_tmp4_a1,
array_tmp4_a2,
array_tmp4,
array_tmp5,
array_tmp6,
array_tmp7,
array_tmp8_g,
array_tmp8_a1,
array_tmp8_a2,
array_tmp8,
array_tmp9,
array_tmp10,
array_tmp11,
array_tmp12,
array_tmp13,
array_tmp14,
array_tmp15,
array_m1,
array_y_higher,
array_y_higher_work,
array_y_higher_work2,
array_y_set_initial,
array_given_rad_poles,
array_given_ord_poles,
array_rad_test_poles,
array_ord_test_poles,
array_fact_2,
ATS_MAX_TERMS,
glob_last;
local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, term1, term2, term3, part1, part2, part3, part4, part5, part6, part7, part8, part9, part10, part11, part12, part13, part14, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term, local_test, tmp_rad,tmp_ord, tmp_ratio, prev_tmp_rad, last_no;
#TOP CHECK FOR POLE
tmp_rad := glob_larger_float;
prev_tmp_rad := glob_larger_float;
tmp_ratio := glob_larger_float;
rad_c := glob_larger_float;
array_rad_test_poles[1,1] := glob_larger_float;
array_ord_test_poles[1,1] := glob_larger_float;
found_sing := 1;
last_no := ATS_MAX_TERMS - 1 - 10;
cnt := 0;
while (last_no < ATS_MAX_TERMS-3 and found_sing = 1) do # do number 1
tmp_rad := comp_rad_from_ratio(array_y_higher[1,last_no-1],array_y_higher[1,last_no],last_no);
if (float_abs(prev_tmp_rad) > glob__0) then # if number 3
tmp_ratio := tmp_rad / prev_tmp_rad;
else
tmp_ratio := glob_large_float;
fi;# end if 3;
if ((cnt > 0 ) and (tmp_ratio < glob_upper_ratio_limit) and (tmp_ratio > glob_lower_ratio_limit)) then # if number 3
rad_c := tmp_rad;
elif
(cnt = 0) then # if number 4
rad_c := tmp_rad;
elif
(cnt > 0) then # if number 5
found_sing := 0;
fi;# end if 5;
prev_tmp_rad := tmp_rad;;
cnt := cnt + 1;
last_no := last_no + 1;
od;# end do number 1;
if (found_sing = 1) then # if number 5
if (rad_c < array_rad_test_poles[1,1]) then # if number 6
array_rad_test_poles[1,1] := rad_c;
last_no := last_no - 1;
tmp_ord := comp_ord_from_ratio(array_y_higher[1,last_no-1],array_y_higher[1,last_no],last_no);
array_rad_test_poles[1,1] := rad_c;
array_ord_test_poles[1,1] := tmp_ord;
fi;# end if 6;
fi;# end if 5;
#BOTTOM general radius test1
tmp_rad := glob_larger_float;
prev_tmp_rad := glob_larger_float;
tmp_ratio := glob_larger_float;
rad_c := glob_larger_float;
array_rad_test_poles[1,2] := glob_larger_float;
array_ord_test_poles[1,2] := glob_larger_float;
found_sing := 1;
last_no := ATS_MAX_TERMS - 1 - 10;
cnt := 0;
while (last_no < ATS_MAX_TERMS-4 and found_sing = 1) do # do number 1
tmp_rad := comp_rad_from_three_terms(array_y_higher[1,last_no-2],array_y_higher[1,last_no-1],array_y_higher[1,last_no],last_no);
if (float_abs(prev_tmp_rad) > glob__0) then # if number 5
tmp_ratio := tmp_rad / prev_tmp_rad;
else
tmp_ratio := glob_large_float;
fi;# end if 5;
if ((cnt > 0 ) and (tmp_ratio < glob_upper_ratio_limit) and (tmp_ratio > glob_lower_ratio_limit)) then # if number 5
rad_c := tmp_rad;
elif
(cnt = 0) then # if number 6
rad_c := tmp_rad;
elif
(cnt > 0) then # if number 7
found_sing := 0;
fi;# end if 7;
prev_tmp_rad := tmp_rad;;
cnt := cnt + 1;
last_no := last_no + 1;
od;# end do number 1;
if (found_sing = 1) then # if number 7
if (rad_c < array_rad_test_poles[1,2]) then # if number 8
array_rad_test_poles[1,2] := rad_c;
last_no := last_no - 1;
tmp_ord := comp_ord_from_three_terms(array_y_higher[1,last_no-2],array_y_higher[1,last_no-1],array_y_higher[1,last_no],last_no);
array_rad_test_poles[1,2] := rad_c;
if (rad_c < glob_min_pole_est) then # if number 9
glob_min_pole_est := rad_c;
fi;# end if 9;
array_ord_test_poles[1,2] := tmp_ord;
fi;# end if 8;
fi;# end if 7;
#BOTTOM general radius test1
tmp_rad := glob_larger_float;
prev_tmp_rad := glob_larger_float;
tmp_ratio := glob_larger_float;
rad_c := glob_larger_float;
array_rad_test_poles[1,3] := glob_larger_float;
array_ord_test_poles[1,3] := glob_larger_float;
found_sing := 1;
last_no := ATS_MAX_TERMS - 1 - 10;
cnt := 0;
while (last_no < ATS_MAX_TERMS-7 and found_sing = 1) do # do number 1
tmp_rad := comp_rad_from_six_terms(array_y_higher[1,last_no-5],array_y_higher[1,last_no-4],array_y_higher[1,last_no-3],array_y_higher[1,last_no-2],array_y_higher[1,last_no-1],array_y_higher[1,last_no],last_no);
if (float_abs(prev_tmp_rad) > glob__0) then # if number 7
tmp_ratio := tmp_rad / prev_tmp_rad;
else
tmp_ratio := glob_large_float;
fi;# end if 7;
if ((cnt > 0 ) and (tmp_ratio < glob_upper_ratio_limit) and (tmp_ratio > glob_lower_ratio_limit)) then # if number 7
rad_c := tmp_rad;
elif
(cnt = 0) then # if number 8
rad_c := tmp_rad;
elif
(cnt > 0) then # if number 9
found_sing := 0;
fi;# end if 9;
prev_tmp_rad := tmp_rad;;
cnt := cnt + 1;
last_no := last_no + 1;
od;# end do number 1;
if (found_sing = 1) then # if number 9
if (rad_c < array_rad_test_poles[1,3]) then # if number 10
array_rad_test_poles[1,3] := rad_c;
last_no := last_no - 1;
tmp_ord := comp_ord_from_six_terms(array_y_higher[1,last_no-5],array_y_higher[1,last_no-4],array_y_higher[1,last_no-3],array_y_higher[1,last_no-2],array_y_higher[1,last_no-1],array_y_higher[1,last_no],last_no);
array_rad_test_poles[1,3] := rad_c;
if (rad_c < glob_min_pole_est) then # if number 11
glob_min_pole_est := rad_c;
fi;# end if 11;
array_ord_test_poles[1,3] := tmp_ord;
fi;# end if 10;
fi;# end if 9;
#BOTTOM general radius test1
;
if (true) then # if number 9
display_poles();
fi;# end if 9
end;
# End Function number 10
# Begin Function number 11
atomall := proc()
global
ALWAYS,
INFO,
DEBUGL,
DEBUGMASSIVE,
glob_iolevel,
glob_yes_pole,
glob_no_pole,
glob_not_given,
glob_no_sing_tests,
glob_ratio_test,
glob_three_term_test,
glob_six_term_test,
glob_log_10,
#Top Generate Globals Decl
MAX_UNCHANGED,
glob__small,
glob_small_float,
glob_smallish_float,
glob_large_float,
glob_larger_float,
glob__m2,
glob__m1,
glob__0,
glob__1,
glob__2,
glob__3,
glob__4,
glob__5,
glob__8,
glob__10,
glob__100,
glob__pi,
glob__0_5,
glob__0_8,
glob__m0_8,
glob__0_25,
glob__0_125,
glob_h,
glob_nxt,
glob_prec,
glob_check_sign,
glob_desired_digits_correct,
glob_max_estimated_step_error,
glob_ratio_of_radius,
glob_percent_done,
glob_total_exp_sec,
glob_optimal_expect_sec,
glob_estimated_size_answer,
glob_almost_1,
glob_clock_sec,
glob_clock_start_sec,
glob_disp_incr,
glob_diff_rc_fm,
glob_diff_rc_fmm1,
glob_diff_rc_fmm2,
glob_diff_ord_fm,
glob_diff_ord_fmm1,
glob_diff_ord_fmm2,
glob_six_term_ord_save,
glob_guess_error_rc,
glob_guess_error_ord,
glob_least_given_sing,
glob_least_ratio_sing,
glob_least_3_sing,
glob_least_6_sing,
glob_last_good_h,
glob_max_h,
glob_min_h,
glob_display_interval,
glob_abserr,
glob_relerr,
glob_min_pole_est,
glob_max_rel_trunc_err,
glob_max_trunc_err,
glob_max_hours,
glob_optimal_clock_start_sec,
glob_optimal_start,
glob_upper_ratio_limit,
glob_lower_ratio_limit,
glob_max_sec,
glob_orig_start_sec,
glob_normmax,
glob_max_minutes,
glob_next_display,
glob_est_digits,
glob_subiter_method,
glob_html_log,
glob_min_good_digits,
glob_good_digits,
glob_min_apfp_est_good_digits,
glob_apfp_est_good_digits,
glob_max_opt_iter,
glob_dump,
glob_djd_debug,
glob_display_flag,
glob_djd_debug2,
glob_h_reason,
glob_sec_in_minute,
glob_min_in_hour,
glob_hours_in_day,
glob_days_in_year,
glob_sec_in_hour,
glob_sec_in_day,
glob_sec_in_year,
glob_not_yet_finished,
glob_initial_pass,
glob_not_yet_start_msg,
glob_reached_optimal_h,
glob_optimal_done,
glob_type_given_pole,
glob_optimize,
glob_look_poles,
glob_dump_closed_form,
glob_max_iter,
glob_no_eqs,
glob_unchanged_h_cnt,
glob_warned,
glob_warned2,
glob_start,
glob_iter,
#Bottom Generate Globals Decl
#BEGIN CONST
array_const_1,
array_const_0D0,
array_const_1D0,
array_const_2D0,
#END CONST
array_y_init,
array_norms,
array_fact_1,
array_1st_rel_error,
array_last_rel_error,
array_est_rel_error,
array_max_est_error,
array_type_pole,
array_type_real_pole,
array_type_complex_pole,
array_est_digits,
array_y,
array_x,
array_tmp0,
array_tmp1,
array_tmp2,
array_tmp3,
array_tmp4_g,
array_tmp4_a1,
array_tmp4_a2,
array_tmp4,
array_tmp5,
array_tmp6,
array_tmp7,
array_tmp8_g,
array_tmp8_a1,
array_tmp8_a2,
array_tmp8,
array_tmp9,
array_tmp10,
array_tmp11,
array_tmp12,
array_tmp13,
array_tmp14,
array_tmp15,
array_m1,
array_y_higher,
array_y_higher_work,
array_y_higher_work2,
array_y_set_initial,
array_given_rad_poles,
array_given_ord_poles,
array_rad_test_poles,
array_ord_test_poles,
array_fact_2,
ATS_MAX_TERMS,
glob_last;
local kkk, order_d, adj2, adj3 , temporary, term;
#TOP ATOMALL
# before write maple main top matter
# before generate constants assign
# before generate globals assign
#END OUTFILE1
#BEGIN OUTFILE2
#END OUTFILE2
#BEGIN ATOMHDR1
#emit pre mult CONST - LINEAR $eq_no = 1 i = 1
array_tmp1[1] := array_const_2D0[1] * array_x[1];
#emit pre add LINEAR - CONST $eq_no = 1 i = 1
array_tmp2[1] := array_tmp1[1] + array_const_1D0[1];
#emit pre sqrt 1 $eq_no = 1
array_tmp3[1] := sqrt(array_tmp2[1]);
array_tmp4_a1[1] := sin(array_tmp3[1]);
array_tmp4_a2[1] := cos(array_tmp3[1]);
array_tmp4[1] := (array_tmp4_a1[1] / array_tmp4_a2[1]);
#emit pre mult CONST - LINEAR $eq_no = 1 i = 1
array_tmp5[1] := array_const_2D0[1] * array_x[1];
#emit pre add LINEAR - CONST $eq_no = 1 i = 1
array_tmp6[1] := array_tmp5[1] + array_const_1D0[1];
#emit pre sqrt 1 $eq_no = 1
array_tmp7[1] := sqrt(array_tmp6[1]);
array_tmp8_a1[1] := sin(array_tmp7[1]);
array_tmp8_a2[1] := cos(array_tmp7[1]);
array_tmp8[1] := (array_tmp8_a1[1] / array_tmp8_a2[1]);
# emit pre mult FULL FULL $eq_no = 1 i = 1
array_tmp9[1] := (array_tmp4[1] * (array_tmp8[1]));
#emit pre add CONST FULL $eq_no = 1 i = 1
array_tmp10[1] := array_const_1D0[1] + array_tmp9[1];
#emit pre mult CONST - LINEAR $eq_no = 1 i = 1
array_tmp11[1] := array_const_2D0[1] * array_x[1];
#emit pre add LINEAR - CONST $eq_no = 1 i = 1
array_tmp12[1] := array_tmp11[1] + array_const_1D0[1];
#emit pre sqrt 1 $eq_no = 1
array_tmp13[1] := sqrt(array_tmp12[1]);
#emit pre div FULL - FULL $eq_no = 1 i = 1
array_tmp14[1] := (array_tmp10[1] / (array_tmp13[1]));
#emit pre add CONST FULL $eq_no = 1 i = 1
array_tmp15[1] := array_const_0D0[1] + array_tmp14[1];
#emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5
if ( not array_y_set_initial[1,2]) then # if number 1
if (1 <= ATS_MAX_TERMS) then # if number 2
temporary := c(array_tmp15[1]) * (expt((glob_h) , c(1))) * c(factorial_3(0,1));
if (2 <= ATS_MAX_TERMS) then # if number 3
array_y[2] := temporary;
array_y_higher[1,2] := temporary;
fi;# end if 3;
temporary := c(temporary) / c(glob_h) * c(1);
array_y_higher[2,1] := c(temporary);
fi;# end if 2;
fi;# end if 1;
kkk := 2;
#END ATOMHDR1
#BEGIN ATOMHDR2
#emit pre mult CONST - LINEAR $eq_no = 1 i = 2
array_tmp1[2] := array_const_2D0[1] * array_x[2];
#emit pre add LINEAR - CONST $eq_no = 1 i = 2
array_tmp2[2] := array_tmp1[2];
#emit pre sqrt 2 $eq_no = 1
array_tmp3[2] := array_tmp2[2] / array_tmp3[1]/glob__2;
#emit pre tan $eq_no = 1
array_tmp4_a1[2] := att(1,array_tmp4_a2,array_tmp3,1);
array_tmp4_a2[2] := neg(att(1,array_tmp4_a1,array_tmp3,1));
array_tmp4[2] := (array_tmp4_a1[2] - ats(2,array_tmp4_a2,array_tmp4,2)) / array_tmp4_a2[1];
#emit pre mult CONST - LINEAR $eq_no = 1 i = 2
array_tmp5[2] := array_const_2D0[1] * array_x[2];
#emit pre add LINEAR - CONST $eq_no = 1 i = 2
array_tmp6[2] := array_tmp5[2];
#emit pre sqrt 2 $eq_no = 1
array_tmp7[2] := array_tmp6[2] / array_tmp7[1]/glob__2;
#emit pre tan $eq_no = 1
array_tmp8_a1[2] := att(1,array_tmp8_a2,array_tmp7,1);
array_tmp8_a2[2] := neg(att(1,array_tmp8_a1,array_tmp7,1));
array_tmp8[2] := (array_tmp8_a1[2] - ats(2,array_tmp8_a2,array_tmp8,2)) / array_tmp8_a2[1];
# emit pre mult FULL FULL $eq_no = 1 i = 2
array_tmp9[2] := ats(2,array_tmp4,array_tmp8,1);
#emit pre add CONST FULL $eq_no = 1 i = 2
array_tmp10[2] := array_tmp9[2];
#emit pre mult CONST - LINEAR $eq_no = 1 i = 2
array_tmp11[2] := array_const_2D0[1] * array_x[2];
#emit pre add LINEAR - CONST $eq_no = 1 i = 2
array_tmp12[2] := array_tmp11[2];
#emit pre sqrt 2 $eq_no = 1
array_tmp13[2] := array_tmp12[2] / array_tmp13[1]/glob__2;
#emit pre div FULL - FULL $eq_no = 1 i = 2
array_tmp14[2] := ((array_tmp10[2] - ats(2,array_tmp13,array_tmp14,2))/array_tmp13[1]);
#emit pre add CONST FULL $eq_no = 1 i = 2
array_tmp15[2] := array_tmp14[2];
#emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5
if ( not array_y_set_initial[1,3]) then # if number 1
if (2 <= ATS_MAX_TERMS) then # if number 2
temporary := c(array_tmp15[2]) * (expt((glob_h) , c(1))) * c(factorial_3(1,2));
if (3 <= ATS_MAX_TERMS) then # if number 3
array_y[3] := temporary;
array_y_higher[1,3] := temporary;
fi;# end if 3;
temporary := c(temporary) / c(glob_h) * c(2);
array_y_higher[2,2] := c(temporary);
fi;# end if 2;
fi;# end if 1;
kkk := 3;
#END ATOMHDR2
#BEGIN ATOMHDR3
#emit pre sqrt ID_LINEAR iii = 3 $eq_no = 1
array_tmp3[3] := 0;
array_tmp3[3] := neg(ats(3,array_tmp3,array_tmp3,2)) / array_tmp3[1] /glob__2;
#emit pre tan $eq_no = 1
array_tmp4_a1[3] := att(2,array_tmp4_a2,array_tmp3,1);
array_tmp4_a2[3] := neg(att(2,array_tmp4_a1,array_tmp3,1));
array_tmp4[3] := (array_tmp4_a1[3] - ats(3,array_tmp4_a2,array_tmp4,2)) / array_tmp4_a2[1];
#emit pre sqrt ID_LINEAR iii = 3 $eq_no = 1
array_tmp7[3] := 0;
array_tmp7[3] := neg(ats(3,array_tmp7,array_tmp7,2)) / array_tmp7[1] /glob__2;
#emit pre tan $eq_no = 1
array_tmp8_a1[3] := att(2,array_tmp8_a2,array_tmp7,1);
array_tmp8_a2[3] := neg(att(2,array_tmp8_a1,array_tmp7,1));
array_tmp8[3] := (array_tmp8_a1[3] - ats(3,array_tmp8_a2,array_tmp8,2)) / array_tmp8_a2[1];
# emit pre mult FULL FULL $eq_no = 1 i = 3
array_tmp9[3] := ats(3,array_tmp4,array_tmp8,1);
#emit pre add CONST FULL $eq_no = 1 i = 3
array_tmp10[3] := array_tmp9[3];
#emit pre sqrt ID_LINEAR iii = 3 $eq_no = 1
array_tmp13[3] := 0;
array_tmp13[3] := neg(ats(3,array_tmp13,array_tmp13,2)) / array_tmp13[1] /glob__2;
#emit pre div FULL - FULL $eq_no = 1 i = 3
array_tmp14[3] := ((array_tmp10[3] - ats(3,array_tmp13,array_tmp14,2))/array_tmp13[1]);
#emit pre add CONST FULL $eq_no = 1 i = 3
array_tmp15[3] := array_tmp14[3];
#emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5
if ( not array_y_set_initial[1,4]) then # if number 1
if (3 <= ATS_MAX_TERMS) then # if number 2
temporary := c(array_tmp15[3]) * (expt((glob_h) , c(1))) * c(factorial_3(2,3));
if (4 <= ATS_MAX_TERMS) then # if number 3
array_y[4] := temporary;
array_y_higher[1,4] := temporary;
fi;# end if 3;
temporary := c(temporary) / c(glob_h) * c(3);
array_y_higher[2,3] := c(temporary);
fi;# end if 2;
fi;# end if 1;
kkk := 4;
#END ATOMHDR3
#BEGIN ATOMHDR4
#emit pre sqrt ID_LINEAR iii = 4 $eq_no = 1
array_tmp3[4] := 0;
array_tmp3[4] := neg(ats(4,array_tmp3,array_tmp3,2)) / array_tmp3[1] /glob__2;
#emit pre tan $eq_no = 1
array_tmp4_a1[4] := att(3,array_tmp4_a2,array_tmp3,1);
array_tmp4_a2[4] := neg(att(3,array_tmp4_a1,array_tmp3,1));
array_tmp4[4] := (array_tmp4_a1[4] - ats(4,array_tmp4_a2,array_tmp4,2)) / array_tmp4_a2[1];
#emit pre sqrt ID_LINEAR iii = 4 $eq_no = 1
array_tmp7[4] := 0;
array_tmp7[4] := neg(ats(4,array_tmp7,array_tmp7,2)) / array_tmp7[1] /glob__2;
#emit pre tan $eq_no = 1
array_tmp8_a1[4] := att(3,array_tmp8_a2,array_tmp7,1);
array_tmp8_a2[4] := neg(att(3,array_tmp8_a1,array_tmp7,1));
array_tmp8[4] := (array_tmp8_a1[4] - ats(4,array_tmp8_a2,array_tmp8,2)) / array_tmp8_a2[1];
# emit pre mult FULL FULL $eq_no = 1 i = 4
array_tmp9[4] := ats(4,array_tmp4,array_tmp8,1);
#emit pre add CONST FULL $eq_no = 1 i = 4
array_tmp10[4] := array_tmp9[4];
#emit pre sqrt ID_LINEAR iii = 4 $eq_no = 1
array_tmp13[4] := 0;
array_tmp13[4] := neg(ats(4,array_tmp13,array_tmp13,2)) / array_tmp13[1] /glob__2;
#emit pre div FULL - FULL $eq_no = 1 i = 4
array_tmp14[4] := ((array_tmp10[4] - ats(4,array_tmp13,array_tmp14,2))/array_tmp13[1]);
#emit pre add CONST FULL $eq_no = 1 i = 4
array_tmp15[4] := array_tmp14[4];
#emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5
if ( not array_y_set_initial[1,5]) then # if number 1
if (4 <= ATS_MAX_TERMS) then # if number 2
temporary := c(array_tmp15[4]) * (expt((glob_h) , c(1))) * c(factorial_3(3,4));
if (5 <= ATS_MAX_TERMS) then # if number 3
array_y[5] := temporary;
array_y_higher[1,5] := temporary;
fi;# end if 3;
temporary := c(temporary) / c(glob_h) * c(4);
array_y_higher[2,4] := c(temporary);
fi;# end if 2;
fi;# end if 1;
kkk := 5;
#END ATOMHDR4
#BEGIN ATOMHDR5
#emit pre sqrt ID_LINEAR iii = 5 $eq_no = 1
array_tmp3[5] := 0;
array_tmp3[5] := neg(ats(5,array_tmp3,array_tmp3,2)) / array_tmp3[1] /glob__2;
#emit pre tan $eq_no = 1
array_tmp4_a1[5] := att(4,array_tmp4_a2,array_tmp3,1);
array_tmp4_a2[5] := neg(att(4,array_tmp4_a1,array_tmp3,1));
array_tmp4[5] := (array_tmp4_a1[5] - ats(5,array_tmp4_a2,array_tmp4,2)) / array_tmp4_a2[1];
#emit pre sqrt ID_LINEAR iii = 5 $eq_no = 1
array_tmp7[5] := 0;
array_tmp7[5] := neg(ats(5,array_tmp7,array_tmp7,2)) / array_tmp7[1] /glob__2;
#emit pre tan $eq_no = 1
array_tmp8_a1[5] := att(4,array_tmp8_a2,array_tmp7,1);
array_tmp8_a2[5] := neg(att(4,array_tmp8_a1,array_tmp7,1));
array_tmp8[5] := (array_tmp8_a1[5] - ats(5,array_tmp8_a2,array_tmp8,2)) / array_tmp8_a2[1];
# emit pre mult FULL FULL $eq_no = 1 i = 5
array_tmp9[5] := ats(5,array_tmp4,array_tmp8,1);
#emit pre add CONST FULL $eq_no = 1 i = 5
array_tmp10[5] := array_tmp9[5];
#emit pre sqrt ID_LINEAR iii = 5 $eq_no = 1
array_tmp13[5] := 0;
array_tmp13[5] := neg(ats(5,array_tmp13,array_tmp13,2)) / array_tmp13[1] /glob__2;
#emit pre div FULL - FULL $eq_no = 1 i = 5
array_tmp14[5] := ((array_tmp10[5] - ats(5,array_tmp13,array_tmp14,2))/array_tmp13[1]);
#emit pre add CONST FULL $eq_no = 1 i = 5
array_tmp15[5] := array_tmp14[5];
#emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5
if ( not array_y_set_initial[1,6]) then # if number 1
if (5 <= ATS_MAX_TERMS) then # if number 2
temporary := c(array_tmp15[5]) * (expt((glob_h) , c(1))) * c(factorial_3(4,5));
if (6 <= ATS_MAX_TERMS) then # if number 3
array_y[6] := temporary;
array_y_higher[1,6] := temporary;
fi;# end if 3;
temporary := c(temporary) / c(glob_h) * c(5);
array_y_higher[2,5] := c(temporary);
fi;# end if 2;
fi;# end if 1;
kkk := 6;
#END ATOMHDR5
#BEGIN OUTFILE3
#Top Atomall While Loop-- outfile3
while (kkk <= ATS_MAX_TERMS) do # do number 1
#END OUTFILE3
#BEGIN OUTFILE4
#emit sqrt LINEAR $eq_no = 1
array_tmp3[kkk] := 0;
array_tmp3[kkk] := neg(ats(kkk,array_tmp3,array_tmp3,2)) /array_tmp3[1] / glob__2;
array_tmp4_a1[kkk] := att(kkk-1 ,array_tmp4_a2,array_tmp3,1);
array_tmp4_a2[kkk] := neg(att(kkk-1,array_tmp4_a1,array_tmp3,1));
array_tmp4[kkk] := (array_tmp4_a1[kkk] - ats(kkk ,array_tmp4_a2,array_tmp4,2)) / array_tmp4_a2[1];
#emit sqrt LINEAR $eq_no = 1
array_tmp7[kkk] := 0;
array_tmp7[kkk] := neg(ats(kkk,array_tmp7,array_tmp7,2)) /array_tmp7[1] / glob__2;
array_tmp8_a1[kkk] := att(kkk-1 ,array_tmp8_a2,array_tmp7,1);
array_tmp8_a2[kkk] := neg(att(kkk-1,array_tmp8_a1,array_tmp7,1));
array_tmp8[kkk] := (array_tmp8_a1[kkk] - ats(kkk ,array_tmp8_a2,array_tmp8,2)) / array_tmp8_a2[1];
#emit mult FULL FULL $eq_no = 1
array_tmp9[kkk] := ats(kkk,array_tmp4,array_tmp8,1);
#emit NOT FULL - FULL add $eq_no = 1
array_tmp10[kkk] := array_tmp9[kkk];
#emit sqrt LINEAR $eq_no = 1
array_tmp13[kkk] := 0;
array_tmp13[kkk] := neg(ats(kkk,array_tmp13,array_tmp13,2)) /array_tmp13[1] / glob__2;
#emit div FULL FULL $eq_no = 1
array_tmp14[kkk] := ((array_tmp10[kkk] - ats(kkk,array_tmp13,array_tmp14,2)) /array_tmp13[1]);
#emit NOT FULL - FULL add $eq_no = 1
array_tmp15[kkk] := array_tmp14[kkk];
#emit assign $eq_no = 1
order_d := 1;
if (kkk + order_d <= ATS_MAX_TERMS) then # if number 1
if ( not array_y_set_initial[1,kkk + order_d]) then # if number 2
temporary := c(array_tmp15[kkk]) * expt((glob_h) , c(order_d)) * c(factorial_3((kkk - 1),(kkk + order_d - 1)));
array_y[kkk + order_d] := c(temporary);
array_y_higher[1,kkk + order_d] := c(temporary);
term := kkk + order_d - 1;
adj2 := kkk + order_d - 1;
adj3 := 2;
while ((term >= 1) and (term <= ATS_MAX_TERMS) and (adj3 < order_d + 1)) do # do number 1
if (adj3 <= order_d + 1) then # if number 3
if (adj2 > 0) then # if number 4
temporary := c(temporary) / c(glob_h) * c(adj2);
else
temporary := c(temporary);
fi;# end if 4;
array_y_higher[adj3,term] := c(temporary);
fi;# end if 3;
term := term - 1;
adj2 := adj2 - 1;
adj3 := adj3 + 1;
od;# end do number 1
fi;# end if 2
fi;# end if 1;
kkk := kkk + 1;
od;# end do number 1;
#BOTTOM ATOMALL
#END OUTFILE4
#BEGIN OUTFILE5
#BOTTOM ATOMALL ???
end;
# End Function number 12
#END OUTFILE5
# Begin Function number 12
main := proc()
#BEGIN OUTFIEMAIN
local d1,d2,d3,d4,est_err_2,niii,done_once,max_terms,display_max,
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,last_min_pole_est, opt_iter, tmp,subiter, est_needed_step_err,estimated_step_error,min_value,est_answer,found_h,repeat_it;
global
ALWAYS,
INFO,
DEBUGL,
DEBUGMASSIVE,
glob_iolevel,
glob_yes_pole,
glob_no_pole,
glob_not_given,
glob_no_sing_tests,
glob_ratio_test,
glob_three_term_test,
glob_six_term_test,
glob_log_10,
#Top Generate Globals Decl
MAX_UNCHANGED,
glob__small,
glob_small_float,
glob_smallish_float,
glob_large_float,
glob_larger_float,
glob__m2,
glob__m1,
glob__0,
glob__1,
glob__2,
glob__3,
glob__4,
glob__5,
glob__8,
glob__10,
glob__100,
glob__pi,
glob__0_5,
glob__0_8,
glob__m0_8,
glob__0_25,
glob__0_125,
glob_h,
glob_nxt,
glob_prec,
glob_check_sign,
glob_desired_digits_correct,
glob_max_estimated_step_error,
glob_ratio_of_radius,
glob_percent_done,
glob_total_exp_sec,
glob_optimal_expect_sec,
glob_estimated_size_answer,
glob_almost_1,
glob_clock_sec,
glob_clock_start_sec,
glob_disp_incr,
glob_diff_rc_fm,
glob_diff_rc_fmm1,
glob_diff_rc_fmm2,
glob_diff_ord_fm,
glob_diff_ord_fmm1,
glob_diff_ord_fmm2,
glob_six_term_ord_save,
glob_guess_error_rc,
glob_guess_error_ord,
glob_least_given_sing,
glob_least_ratio_sing,
glob_least_3_sing,
glob_least_6_sing,
glob_last_good_h,
glob_max_h,
glob_min_h,
glob_display_interval,
glob_abserr,
glob_relerr,
glob_min_pole_est,
glob_max_rel_trunc_err,
glob_max_trunc_err,
glob_max_hours,
glob_optimal_clock_start_sec,
glob_optimal_start,
glob_upper_ratio_limit,
glob_lower_ratio_limit,
glob_max_sec,
glob_orig_start_sec,
glob_normmax,
glob_max_minutes,
glob_next_display,
glob_est_digits,
glob_subiter_method,
glob_html_log,
glob_min_good_digits,
glob_good_digits,
glob_min_apfp_est_good_digits,
glob_apfp_est_good_digits,
glob_max_opt_iter,
glob_dump,
glob_djd_debug,
glob_display_flag,
glob_djd_debug2,
glob_h_reason,
glob_sec_in_minute,
glob_min_in_hour,
glob_hours_in_day,
glob_days_in_year,
glob_sec_in_hour,
glob_sec_in_day,
glob_sec_in_year,
glob_not_yet_finished,
glob_initial_pass,
glob_not_yet_start_msg,
glob_reached_optimal_h,
glob_optimal_done,
glob_type_given_pole,
glob_optimize,
glob_look_poles,
glob_dump_closed_form,
glob_max_iter,
glob_no_eqs,
glob_unchanged_h_cnt,
glob_warned,
glob_warned2,
glob_start,
glob_iter,
#Bottom Generate Globals Decl
#BEGIN CONST
array_const_1,
array_const_0D0,
array_const_1D0,
array_const_2D0,
#END CONST
array_y_init,
array_norms,
array_fact_1,
array_1st_rel_error,
array_last_rel_error,
array_est_rel_error,
array_max_est_error,
array_type_pole,
array_type_real_pole,
array_type_complex_pole,
array_est_digits,
array_y,
array_x,
array_tmp0,
array_tmp1,
array_tmp2,
array_tmp3,
array_tmp4_g,
array_tmp4_a1,
array_tmp4_a2,
array_tmp4,
array_tmp5,
array_tmp6,
array_tmp7,
array_tmp8_g,
array_tmp8_a1,
array_tmp8_a2,
array_tmp8,
array_tmp9,
array_tmp10,
array_tmp11,
array_tmp12,
array_tmp13,
array_tmp14,
array_tmp15,
array_m1,
array_y_higher,
array_y_higher_work,
array_y_higher_work2,
array_y_set_initial,
array_given_rad_poles,
array_given_ord_poles,
array_rad_test_poles,
array_ord_test_poles,
array_fact_2,
ATS_MAX_TERMS,
glob_last;
ATS_MAX_TERMS := 40;
# before first input block
#BEGIN FIRST INPUT BLOCK
#BEGIN BLOCK 1
#BEGIN FIRST INPUT BLOCK
Digits:=32;
max_terms:=40;
#END BLOCK 1
#END FIRST INPUT BLOCK
#START OF INITS AFTER INPUT BLOCK
glob_html_log := true;
#END OF INITS AFTER INPUT BLOCK
# before generate arrays
array_y_init:= Array(0..(40),[]);
array_norms:= Array(0..(40),[]);
array_fact_1:= Array(0..(40),[]);
array_1st_rel_error:= Array(0..(2),[]);
array_last_rel_error:= Array(0..(2),[]);
array_est_rel_error:= Array(0..(2),[]);
array_max_est_error:= Array(0..(2),[]);
array_type_pole:= Array(0..(2),[]);
array_type_real_pole:= Array(0..(2),[]);
array_type_complex_pole:= Array(0..(2),[]);
array_est_digits:= Array(0..(2),[]);
array_y:= Array(0..(40),[]);
array_x:= Array(0..(40),[]);
array_tmp0:= Array(0..(40),[]);
array_tmp1:= Array(0..(40),[]);
array_tmp2:= Array(0..(40),[]);
array_tmp3:= Array(0..(40),[]);
array_tmp4_g:= Array(0..(40),[]);
array_tmp4_a1:= Array(0..(40),[]);
array_tmp4_a2:= Array(0..(40),[]);
array_tmp4:= Array(0..(40),[]);
array_tmp5:= Array(0..(40),[]);
array_tmp6:= Array(0..(40),[]);
array_tmp7:= Array(0..(40),[]);
array_tmp8_g:= Array(0..(40),[]);
array_tmp8_a1:= Array(0..(40),[]);
array_tmp8_a2:= Array(0..(40),[]);
array_tmp8:= Array(0..(40),[]);
array_tmp9:= Array(0..(40),[]);
array_tmp10:= Array(0..(40),[]);
array_tmp11:= Array(0..(40),[]);
array_tmp12:= Array(0..(40),[]);
array_tmp13:= Array(0..(40),[]);
array_tmp14:= Array(0..(40),[]);
array_tmp15:= Array(0..(40),[]);
array_m1:= Array(0..(40),[]);
array_y_higher := Array(0..(2) ,(0..40+ 1),[]);
array_y_higher_work := Array(0..(2) ,(0..40+ 1),[]);
array_y_higher_work2 := Array(0..(2) ,(0..40+ 1),[]);
array_y_set_initial := Array(0..(2) ,(0..40+ 1),[]);
array_given_rad_poles := Array(0..(2) ,(0..3+ 1),[]);
array_given_ord_poles := Array(0..(2) ,(0..3+ 1),[]);
array_rad_test_poles := Array(0..(2) ,(0..4+ 1),[]);
array_ord_test_poles := Array(0..(2) ,(0..4+ 1),[]);
array_fact_2 := Array(0..(40) ,(0..40+ 1),[]);
# before generate constants
# before generate globals definition
#Top Generate Globals Definition
#Bottom Generate Globals Deninition
# before generate const definition
# before arrays initialized
term := 1;
while (term <= 40) do # do number 1
array_y_init[term] := c(0.0);
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 40) do # do number 1
array_norms[term] := c(0.0);
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 40) do # do number 1
array_fact_1[term] := c(0.0);
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 2) do # do number 1
array_1st_rel_error[term] := c(0.0);
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 2) do # do number 1
array_last_rel_error[term] := c(0.0);
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 2) do # do number 1
array_est_rel_error[term] := c(0.0);
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 2) do # do number 1
array_max_est_error[term] := c(0.0);
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 2) do # do number 1
array_type_pole[term] := 0;
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 2) do # do number 1
array_type_real_pole[term] := 0;
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 2) do # do number 1
array_type_complex_pole[term] := 0;
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 2) do # do number 1
array_est_digits[term] := 0;
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 40) do # do number 1
array_y[term] := c(0.0);
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 40) do # do number 1
array_x[term] := c(0.0);
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 40) do # do number 1
array_tmp0[term] := c(0.0);
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 40) do # do number 1
array_tmp1[term] := c(0.0);
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 40) do # do number 1
array_tmp2[term] := c(0.0);
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 40) do # do number 1
array_tmp3[term] := c(0.0);
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 40) do # do number 1
array_tmp4_g[term] := c(0.0);
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 40) do # do number 1
array_tmp4_a1[term] := c(0.0);
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 40) do # do number 1
array_tmp4_a2[term] := c(0.0);
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 40) do # do number 1
array_tmp4[term] := c(0.0);
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 40) do # do number 1
array_tmp5[term] := c(0.0);
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 40) do # do number 1
array_tmp6[term] := c(0.0);
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 40) do # do number 1
array_tmp7[term] := c(0.0);
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 40) do # do number 1
array_tmp8_g[term] := c(0.0);
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 40) do # do number 1
array_tmp8_a1[term] := c(0.0);
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 40) do # do number 1
array_tmp8_a2[term] := c(0.0);
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 40) do # do number 1
array_tmp8[term] := c(0.0);
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 40) do # do number 1
array_tmp9[term] := c(0.0);
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 40) do # do number 1
array_tmp10[term] := c(0.0);
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 40) do # do number 1
array_tmp11[term] := c(0.0);
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 40) do # do number 1
array_tmp12[term] := c(0.0);
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 40) do # do number 1
array_tmp13[term] := c(0.0);
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 40) do # do number 1
array_tmp14[term] := c(0.0);
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 40) do # do number 1
array_tmp15[term] := c(0.0);
term := term + 1;
od;# end do number 1;
term := 1;
while (term <= 40) do # do number 1
array_m1[term] := c(0.0);
term := term + 1;
od;# end do number 1;
ord := 1;
while (ord <=2) do # do number 1
term := 1;
while (term <= 40) do # do number 2
array_y_higher[ord,term] := c(0.0);
term := term + 1;
od;# end do number 2;
ord := ord + 1;
od;# end do number 1;
ord := 1;
while (ord <=2) do # do number 1
term := 1;
while (term <= 40) do # do number 2
array_y_higher_work[ord,term] := c(0.0);
term := term + 1;
od;# end do number 2;
ord := ord + 1;
od;# end do number 1;
ord := 1;
while (ord <=2) do # do number 1
term := 1;
while (term <= 40) do # do number 2
array_y_higher_work2[ord,term] := c(0.0);
term := term + 1;
od;# end do number 2;
ord := ord + 1;
od;# end do number 1;
ord := 1;
while (ord <=2) do # do number 1
term := 1;
while (term <= 40) do # do number 2
array_y_set_initial[ord,term] := c(0.0);
term := term + 1;
od;# end do number 2;
ord := ord + 1;
od;# end do number 1;
ord := 1;
while (ord <=2) do # do number 1
term := 1;
while (term <= 3) do # do number 2
array_given_rad_poles[ord,term] := c(0.0);
term := term + 1;
od;# end do number 2;
ord := ord + 1;
od;# end do number 1;
ord := 1;
while (ord <=2) do # do number 1
term := 1;
while (term <= 3) do # do number 2
array_given_ord_poles[ord,term] := c(0.0);
term := term + 1;
od;# end do number 2;
ord := ord + 1;
od;# end do number 1;
ord := 1;
while (ord <=2) do # do number 1
term := 1;
while (term <= 4) do # do number 2
array_rad_test_poles[ord,term] := c(0.0);
term := term + 1;
od;# end do number 2;
ord := ord + 1;
od;# end do number 1;
ord := 1;
while (ord <=2) do # do number 1
term := 1;
while (term <= 4) do # do number 2
array_ord_test_poles[ord,term] := c(0.0);
term := term + 1;
od;# end do number 2;
ord := ord + 1;
od;# end do number 1;
ord := 1;
while (ord <=40) do # do number 1
term := 1;
while (term <= 40) do # do number 2
array_fact_2[ord,term] := c(0.0);
term := term + 1;
od;# end do number 2;
ord := ord + 1;
od;# end do number 1;
# before symbols initialized
#BEGIN SYMBOLS INITIALIZATED
zero_ats_ar(array_y);
zero_ats_ar(array_x);
zero_ats_ar(array_tmp0);
zero_ats_ar(array_tmp1);
zero_ats_ar(array_tmp2);
zero_ats_ar(array_tmp3);
zero_ats_ar(array_tmp4_g);
zero_ats_ar(array_tmp4_a1);
zero_ats_ar(array_tmp4_a2);
zero_ats_ar(array_tmp4);
zero_ats_ar(array_tmp5);
zero_ats_ar(array_tmp6);
zero_ats_ar(array_tmp7);
zero_ats_ar(array_tmp8_g);
zero_ats_ar(array_tmp8_a1);
zero_ats_ar(array_tmp8_a2);
zero_ats_ar(array_tmp8);
zero_ats_ar(array_tmp9);
zero_ats_ar(array_tmp10);
zero_ats_ar(array_tmp11);
zero_ats_ar(array_tmp12);
zero_ats_ar(array_tmp13);
zero_ats_ar(array_tmp14);
zero_ats_ar(array_tmp15);
zero_ats_ar(array_m1);
zero_ats_ar(array_const_1);
array_const_1[1] := c(1);
zero_ats_ar(array_const_0D0);
array_const_0D0[1] := c(0.0);
zero_ats_ar(array_const_1D0);
array_const_1D0[1] := c(1.0);
zero_ats_ar(array_const_2D0);
array_const_2D0[1] := c(2.0);
zero_ats_ar(array_m1);
array_m1[1] := glob__m1;
#END SYMBOLS INITIALIZATED
# before generate factorials init
#Initing Factorial Tables
iiif := 0;
while (iiif <= ATS_MAX_TERMS) do # do number 1
jjjf := 0;
while (jjjf <= ATS_MAX_TERMS) do # do number 2
array_fact_1[iiif] := 0;
array_fact_2[iiif,jjjf] := 0;
jjjf := jjjf + 1;
od;# end do number 2;
iiif := iiif + 1;
od;# end do number 1;
#Done Initing Factorial Table
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
glob_iolevel := 5;
glob_yes_pole := 4;
glob_no_pole := 3;
glob_not_given := 0;
glob_no_sing_tests := 4;
glob_ratio_test := 1;
glob_three_term_test := 2;
glob_six_term_test := 3;
glob_log_10 := log(c(10.0));
MAX_UNCHANGED := 10;
glob__small := c(0.1e-50);
glob_small_float := c(0.1e-50);
glob_smallish_float := c(0.1e-60);
glob_large_float := c(1.0e100);
glob_larger_float := c(1.1e100);
glob__m2 := c(-2);
glob__m1 := c(-1);
glob__0 := c(0);
glob__1 := c(1);
glob__2 := c(2);
glob__3 := c(3);
glob__4 := c(4);
glob__5 := c(5);
glob__8 := c(8);
glob__10 := c(10);
glob__100 := c(100);
glob__pi := c(0.0);
glob__0_5 := c(0.5);
glob__0_8 := c(0.8);
glob__m0_8 := c(-0.8);
glob__0_25 := c(0.25);
glob__0_125 := c(0.125);
glob_h := 0.1;
glob_nxt := 1;
glob_prec := c(1.0e-16);
glob_check_sign := c(1.0);
glob_desired_digits_correct := c(8.0);
glob_max_estimated_step_error := c(0.0);
glob_ratio_of_radius := c(0.1);
glob_percent_done := c(0.0);
glob_total_exp_sec := c(0.1);
glob_optimal_expect_sec := c(0.1);
glob_estimated_size_answer := c(100.0);
glob_almost_1 := c(0.9990);
glob_clock_sec := c(0.0);
glob_clock_start_sec := c(0.0);
glob_disp_incr := c(0.1);
glob_diff_rc_fm := c(0.1);
glob_diff_rc_fmm1 := c(0.1);
glob_diff_rc_fmm2 := c(0.1);
glob_diff_ord_fm := c(0.1);
glob_diff_ord_fmm1 := c(0.1);
glob_diff_ord_fmm2 := c(0.1);
glob_six_term_ord_save := c(0.1);
glob_guess_error_rc := c(0.1);
glob_guess_error_ord := c(0.1);
glob_least_given_sing := c(9.9e200);
glob_least_ratio_sing := c(9.9e200);
glob_least_3_sing := c(9.9e100);
glob_least_6_sing := c(9.9e100);
glob_last_good_h := c(0.1);
glob_max_h := c(0.1);
glob_min_h := c(0.000001);
glob_display_interval := c(0.1);
glob_abserr := c(0.1e-10);
glob_relerr := c(0.1e-10);
glob_min_pole_est := c(0.1e+10);
glob_max_rel_trunc_err := c(0.1e-10);
glob_max_trunc_err := c(0.1e-10);
glob_max_hours := c(0.0);
glob_optimal_clock_start_sec := c(0.0);
glob_optimal_start := c(0.0);
glob_upper_ratio_limit := c(1.0001);
glob_lower_ratio_limit := c(0.9999);
glob_max_sec := c(10000.0);
glob_orig_start_sec := c(0.0);
glob_normmax := c(0.0);
glob_max_minutes := c(0.0);
glob_next_display := c(0.0);
glob_est_digits := 1;
glob_subiter_method := 3;
glob_html_log := true;
glob_min_good_digits := 99999;
glob_good_digits := 0;
glob_min_apfp_est_good_digits := 99999;
glob_apfp_est_good_digits := 0;
glob_max_opt_iter := 10;
glob_dump := false;
glob_djd_debug := true;
glob_display_flag := true;
glob_djd_debug2 := true;
glob_h_reason := 0;
glob_sec_in_minute := 60 ;
glob_min_in_hour := 60;
glob_hours_in_day := 24;
glob_days_in_year := 365;
glob_sec_in_hour := 3600;
glob_sec_in_day := 86400;
glob_sec_in_year := 31536000;
glob_not_yet_finished := true;
glob_initial_pass := true;
glob_not_yet_start_msg := true;
glob_reached_optimal_h := false;
glob_optimal_done := false;
glob_type_given_pole := 0;
glob_optimize := false;
glob_look_poles := false;
glob_dump_closed_form := false;
glob_max_iter := 10000;
glob_no_eqs := 0;
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_start := 0;
glob_iter := 0;
# before generate set diff initial
array_y_set_initial[1,1] := true;
array_y_set_initial[1,2] := false;
array_y_set_initial[1,3] := false;
array_y_set_initial[1,4] := false;
array_y_set_initial[1,5] := false;
array_y_set_initial[1,6] := false;
array_y_set_initial[1,7] := false;
array_y_set_initial[1,8] := false;
array_y_set_initial[1,9] := false;
array_y_set_initial[1,10] := false;
array_y_set_initial[1,11] := false;
array_y_set_initial[1,12] := false;
array_y_set_initial[1,13] := false;
array_y_set_initial[1,14] := false;
array_y_set_initial[1,15] := false;
array_y_set_initial[1,16] := false;
array_y_set_initial[1,17] := false;
array_y_set_initial[1,18] := false;
array_y_set_initial[1,19] := false;
array_y_set_initial[1,20] := false;
array_y_set_initial[1,21] := false;
array_y_set_initial[1,22] := false;
array_y_set_initial[1,23] := false;
array_y_set_initial[1,24] := false;
array_y_set_initial[1,25] := false;
array_y_set_initial[1,26] := false;
array_y_set_initial[1,27] := false;
array_y_set_initial[1,28] := false;
array_y_set_initial[1,29] := false;
array_y_set_initial[1,30] := false;
array_y_set_initial[1,31] := false;
array_y_set_initial[1,32] := false;
array_y_set_initial[1,33] := false;
array_y_set_initial[1,34] := false;
array_y_set_initial[1,35] := false;
array_y_set_initial[1,36] := false;
array_y_set_initial[1,37] := false;
array_y_set_initial[1,38] := false;
array_y_set_initial[1,39] := false;
array_y_set_initial[1,40] := false;
# before generate init omniout const
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
ATS_MAX_TERMS := 40;
glob_iolevel := INFO;
# set default block
#Write Set Defaults
glob_orig_start_sec := elapsed_time_seconds();
glob_display_flag := true;
glob_no_eqs := 1;
glob_iter := -1;
opt_iter := -1;
glob_max_iter := 10000;
glob_max_hours := (0.0);
glob_max_minutes := (15.0);
omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################");
omniout_str(ALWAYS,"##############temp/tan_sqrtpostcpx.cpx#################");
omniout_str(ALWAYS,"diff ( y , x , 1 ) = ( 1.0 + ( tan ( sqrt ( 2.0 * x + 1.0 ) ) * tan ( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ; ");
omniout_str(ALWAYS,"!");
omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK");
omniout_str(ALWAYS,"Digits:=32;");
omniout_str(ALWAYS,"max_terms:=40;");
omniout_str(ALWAYS,"!");
omniout_str(ALWAYS,"#END FIRST INPUT BLOCK");
omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK");
omniout_str(ALWAYS,"x_start := 1.4 + 0.1 * I;");
omniout_str(ALWAYS,"x_end := 99.0 + 99.0 * I;");
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_h := c(0.0001);");
omniout_str(ALWAYS,"");
omniout_str(ALWAYS,"");
omniout_str(ALWAYS,"");
omniout_str(ALWAYS,"");
omniout_str(ALWAYS,"");
omniout_str(ALWAYS,"");
omniout_str(ALWAYS,"");
omniout_str(ALWAYS,"");
omniout_str(ALWAYS,"");
omniout_str(ALWAYS,"");
omniout_str(ALWAYS,"");
omniout_str(ALWAYS,"");
omniout_str(ALWAYS,"glob_type_given_pole := 1;");
omniout_str(ALWAYS,"");
omniout_str(ALWAYS,"array_given_rad_poles[1,1] := c(-2.0);");
omniout_str(ALWAYS,"");
omniout_str(ALWAYS,"array_given_rad_poles[1,2] := c(0.0);");
omniout_str(ALWAYS,"");
omniout_str(ALWAYS,"array_given_ord_poles[1,1] := c(0.5);");
omniout_str(ALWAYS,"");
omniout_str(ALWAYS,"array_given_ord_poles[1,2] := c(0.0);");
omniout_str(ALWAYS,"");
omniout_str(ALWAYS,"");
omniout_str(ALWAYS,"#END SECOND INPUT BLOCK");
omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK");
omniout_str(ALWAYS,"glob_desired_digits_correct:=8;");
omniout_str(ALWAYS,"glob_max_minutes:=(3.0);");
omniout_str(ALWAYS,"glob_subiter_method:=3;");
omniout_str(ALWAYS,"glob_max_iter:=10000;");
omniout_str(ALWAYS,"glob_upper_ratio_limit:=c(1.000001);");
omniout_str(ALWAYS,"glob_lower_ratio_limit:=c(0.999999);");
omniout_str(ALWAYS,"glob_look_poles:=true;");
omniout_str(ALWAYS,"glob_h:=c(0.001);");
omniout_str(ALWAYS,"glob_display_interval:=c(0.01);");
omniout_str(ALWAYS,"#END OVERRIDE BLOCK");
omniout_str(ALWAYS,"!");
omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK");
omniout_str(ALWAYS,"exact_soln_y := proc(x)");
omniout_str(ALWAYS,"return(tan(sqrt(c(2.0)*c(x) + c(1.0))));");
omniout_str(ALWAYS,"end;");
omniout_str(ALWAYS,"next_delta := proc()");
omniout_str(ALWAYS,"global glob_nxt, x_delta;");
omniout_str(ALWAYS,"");
omniout_str(ALWAYS,"x_delta := [ 0.001 + 0.00004 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
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omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.0001 + 0.004 * I,");
omniout_str(ALWAYS,"0.003 + 0.006 * I,");
omniout_str(ALWAYS,"0.0001 + 0.005 * I,");
omniout_str(ALWAYS,"0.0001 + 0.003 * I,");
omniout_str(ALWAYS,"0.001 + 0.001 * I,");
omniout_str(ALWAYS,"0.001 + 0.003 * I,");
omniout_str(ALWAYS,"0.000 + 0.000 * I ];");
omniout_str(ALWAYS,"");
omniout_str(ALWAYS,"glob_nxt := glob_nxt + 1;");
omniout_str(ALWAYS,"it := x_delta[glob_nxt];");
omniout_str(ALWAYS,"return it;");
omniout_str(ALWAYS,"end;");
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 := glob__0;
glob_smallish_float := glob__0;
glob_large_float := c(1.0e100);
glob_larger_float := c( 1.1e100);
glob_almost_1 := c( 0.99);
# before second block
#TOP SECOND INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
#BEGIN BLOCK 2
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := 1.4 + 0.1 * I;
x_end := 99.0 + 99.0 * I;
array_y_init[0 + 1] := exact_soln_y(x_start);
glob_look_poles := true;
glob_max_h := c(0.0001);
glob_type_given_pole := 1;
array_given_rad_poles[1,1] := c(-2.0);
array_given_rad_poles[1,2] := c(0.0);
array_given_ord_poles[1,1] := c(0.5);
array_given_ord_poles[1,2] := c(0.0);
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE BLOCK
glob_desired_digits_correct:=8;
glob_max_minutes:=(3.0);
glob_subiter_method:=3;
glob_max_iter:=10000;
glob_upper_ratio_limit:=c(1.000001);
glob_lower_ratio_limit:=c(0.999999);
glob_look_poles:=true;
glob_h:=c(0.001);
glob_display_interval:=c(0.01);
#END OVERRIDE BLOCK
#END BLOCK 2
#END SECOND INPUT BLOCK
#BEGIN INITS AFTER SECOND INPUT BLOCK
glob_last_good_h := glob_h;
glob_max_sec := (60.0) * (glob_max_minutes) + (3600.0) * (glob_max_hours);
# after second input block
found_h := true;
glob_h := next_delta();
#START ADJUST ALL SERIES
if (float_abs(glob_min_pole_est) * glob_ratio_of_radius < float_abs(glob_h)) then # if number 9
h_new := glob_check_sign * glob_min_pole_est * glob_ratio_of_radius;
omniout_str(ALWAYS,"SETTING H FOR POLE");
glob_h_reason := 6;
if (glob_check_sign * glob_min_h > glob_check_sign * h_new) then # if number 10
omniout_str(ALWAYS,"SETTING H FOR MIN H");
h_new := glob_min_h;
glob_h_reason := 5;
fi;# end if 10;
term := 1;
ratio := c(1.0);
while (term <= ATS_MAX_TERMS) do # do number 1
array_y[term] := array_y[term]* ratio;
array_y_higher[1,term] := array_y_higher[1,term]* ratio;
array_x[term] := array_x[term]* ratio;
ratio := ratio * h_new / float_abs(glob_h);
term := term + 1;
od;# end do number 1;
glob_h := h_new;
fi;# end if 9;
#BOTTOM ADJUST ALL SERIES
#END OPTIMIZE CODE
if (glob_html_log) then # if number 9
html_log_file := fopen("entry.html",WRITE,TEXT);
fi;# end if 9;
#BEGIN SOLUTION CODE
found_h := true;
if (found_h) then # if number 9
omniout_str(ALWAYS,"START of Soultion");
#Start Series -- INITIALIZE FOR SOLUTION
array_x[1] := c(x_start);
array_x[2] := c(glob_h);
glob_next_display := c(x_start);
glob_min_pole_est := glob_larger_float;
glob_least_given_sing := glob_larger_float;
glob_least_ratio_sing := glob_larger_float;
glob_least_3_sing := glob_larger_float;
glob_least_6_sing := glob_larger_float;
order_diff := 1;
#Start Series array_y
term_no := 1;
while (term_no <= order_diff) do # do number 1
array_y[term_no] := array_y_init[term_no] * expt(glob_h , c(term_no - 1)) / c(factorial_1(term_no - 1));
term_no := term_no + 1;
od;# end do number 1;
rows := order_diff;
r_order := 1;
while (r_order <= rows) do # do number 1
term_no := 1;
while (term_no <= (rows - r_order + 1)) do # do number 2
it := term_no + r_order - 1;
if (term_no < ATS_MAX_TERMS) then # if number 10
array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , c(term_no - 1)) / (c(factorial_1(term_no - 1)));
fi;# end if 10;
term_no := term_no + 1;
od;# end do number 2;
r_order := r_order + 1;
od;# end do number 1
;
current_iter := 1;
glob_clock_start_sec := elapsed_time_seconds();
glob_clock_sec := elapsed_time_seconds();
glob_iter := 0;
omniout_str(DEBUGL," ");
glob_reached_optimal_h := true;
found_h := true;
glob_h := next_delta();
#START ADJUST ALL SERIES
if (float_abs(glob_min_pole_est) * glob_ratio_of_radius < float_abs(glob_h)) then # if number 10
h_new := glob_check_sign * glob_min_pole_est * glob_ratio_of_radius;
omniout_str(ALWAYS,"SETTING H FOR POLE");
glob_h_reason := 6;
if (glob_check_sign * glob_min_h > glob_check_sign * h_new) then # if number 11
omniout_str(ALWAYS,"SETTING H FOR MIN H");
h_new := glob_min_h;
glob_h_reason := 5;
fi;# end if 11;
term := 1;
ratio := c(1.0);
while (term <= ATS_MAX_TERMS) do # do number 1
array_y[term] := array_y[term]* ratio;
array_y_higher[1,term] := array_y_higher[1,term]* ratio;
array_x[term] := array_x[term]* ratio;
ratio := ratio * h_new / float_abs(glob_h);
term := term + 1;
od;# end do number 1;
glob_h := h_new;
fi;# end if 10;
#BOTTOM ADJUST ALL SERIES
#END OPTIMIZE CODE
glob_optimal_clock_start_sec := elapsed_time_seconds();
while ((glob_iter < glob_max_iter) and ((glob_iter < 10) or ( not ((Re(glob_h) = 0.0) and (Im(glob_h) = 0.0))))) do # do number 1
#left paren 0001C
if (true) then # if number 10
omniout_str(INFO," ");
fi;# end if 10;
found_h := true;
glob_h := next_delta();
#START ADJUST ALL SERIES
if (float_abs(glob_min_pole_est) * glob_ratio_of_radius < float_abs(glob_h)) then # if number 10
h_new := glob_check_sign * glob_min_pole_est * glob_ratio_of_radius;
omniout_str(ALWAYS,"SETTING H FOR POLE");
glob_h_reason := 6;
if (glob_check_sign * glob_min_h > glob_check_sign * h_new) then # if number 11
omniout_str(ALWAYS,"SETTING H FOR MIN H");
h_new := glob_min_h;
glob_h_reason := 5;
fi;# end if 11;
term := 1;
ratio := c(1.0);
while (term <= ATS_MAX_TERMS) do # do number 2
array_y[term] := array_y[term]* ratio;
array_y_higher[1,term] := array_y_higher[1,term]* ratio;
array_x[term] := array_x[term]* ratio;
ratio := ratio * h_new / float_abs(glob_h);
term := term + 1;
od;# end do number 2;
glob_h := h_new;
fi;# end if 10;
#BOTTOM ADJUST ALL SERIES
#END OPTIMIZE CODE
glob_iter := glob_iter + 1;
glob_clock_sec := elapsed_time_seconds();
atomall();
if ( not ((Re(glob_h) = 0.0) and (Im(glob_h) = 0.0))) then # if number 10
display_alot(current_iter);
fi;# end if 10;
if ((glob_look_poles) and ( not ((Re(glob_h) = 0.0) and (Im(glob_h) = 0.0)))) then # if number 10
check_for_pole();
fi;# end if 10;
if (true) then # if number 10
glob_next_display := glob_next_display + glob_display_interval;
fi;# end if 10;
array_x[1] := array_x[1] + glob_h;
array_x[2] := glob_h;
#Jump Series array_y;
order_diff := 2;
#START PART 1 SUM AND ADJUST
#START SUM AND ADJUST EQ =1
#sum_and_adjust array_y
#BEFORE ADJUST SUBSERIES EQ =1
ord := 2;
calc_term := 1;
#adjust_subseriesarray_y
iii := ATS_MAX_TERMS;
while (iii >= calc_term) do # do number 2
array_y_higher_work[2,iii] := array_y_higher[2,iii] / expt(glob_h , c(calc_term - 1)) / c(factorial_3(iii - calc_term , iii - 1));
iii := iii - 1;
od;# end do number 2;
#AFTER ADJUST SUBSERIES EQ =1
#BEFORE SUM SUBSERIES EQ =1
temp_sum := glob__0;
ord := 2;
calc_term := 1;
#sum_subseriesarray_y
iii := ATS_MAX_TERMS;
while (iii >= calc_term) do # do number 2
temp_sum := temp_sum + array_y_higher_work[ord,iii];
iii := iii - 1;
od;# end do number 2;
array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , c(calc_term - 1)) / c(factorial_1(calc_term - 1));
#AFTER SUM SUBSERIES EQ =1
#BEFORE ADJUST SUBSERIES EQ =1
ord := 1;
calc_term := 2;
#adjust_subseriesarray_y
iii := ATS_MAX_TERMS;
while (iii >= calc_term) do # do number 2
array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , c(calc_term - 1)) / c(factorial_3(iii - calc_term , iii - 1));
iii := iii - 1;
od;# end do number 2;
#AFTER ADJUST SUBSERIES EQ =1
#BEFORE SUM SUBSERIES EQ =1
temp_sum := glob__0;
ord := 1;
calc_term := 2;
#sum_subseriesarray_y
iii := ATS_MAX_TERMS;
while (iii >= calc_term) do # do number 2
temp_sum := temp_sum + array_y_higher_work[ord,iii];
iii := iii - 1;
od;# end do number 2;
array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , c(calc_term - 1)) / c(factorial_1(calc_term - 1));
#AFTER SUM SUBSERIES EQ =1
#BEFORE ADJUST SUBSERIES EQ =1
ord := 1;
calc_term := 1;
#adjust_subseriesarray_y
iii := ATS_MAX_TERMS;
while (iii >= calc_term) do # do number 2
array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , c(calc_term - 1)) / c(factorial_3(iii - calc_term , iii - 1));
iii := iii - 1;
od;# end do number 2;
#AFTER ADJUST SUBSERIES EQ =1
#BEFORE SUM SUBSERIES EQ =1
temp_sum := glob__0;
ord := 1;
calc_term := 1;
#sum_subseriesarray_y
iii := ATS_MAX_TERMS;
while (iii >= calc_term) do # do number 2
temp_sum := temp_sum + array_y_higher_work[ord,iii];
iii := iii - 1;
od;# end do number 2;
array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , c(calc_term - 1)) / c(factorial_1(calc_term - 1));
#AFTER SUM SUBSERIES EQ =1
#END SUM AND ADJUST EQ =1
#END PART 1
#START PART 2 MOVE TERMS to REGULAR Array
term_no := ATS_MAX_TERMS;
while (term_no >= 1) do # do number 2
array_y[term_no] := array_y_higher_work2[1,term_no];
ord := 1;
while (ord <= order_diff) do # do number 3
array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no];
ord := ord + 1;
od;# end do number 3;
term_no := term_no - 1;
od;# end do number 2;
#END PART 2 HEVE MOVED TERMS to REGULAR Array
;
od;# end do number 1;#right paren 0001C
omniout_str(ALWAYS,"Finished!");
if (glob_iter >= glob_max_iter) then # if number 10
omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!");
fi;# end if 10;
if (elapsed_time_seconds() - (glob_orig_start_sec) >= (glob_max_sec )) then # if number 10
omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!");
fi;# end if 10;
glob_clock_sec := elapsed_time_seconds();
omniout_str(INFO,"diff ( y , x , 1 ) = ( 1.0 + ( tan ( sqrt ( 2.0 * x + 1.0 ) ) * tan ( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ; ");
omniout_int(INFO,"Iterations ",32,glob_iter,4," ")
;
prog_report(x_start,x_end);
if (glob_html_log) then # if number 10
logstart(html_log_file);
logitem_str(html_log_file,"2017-11-26T16:41:07-06:00")
;
logitem_str(html_log_file,"Maple")
;
logitem_str(html_log_file,"tan_sqrt")
;
logitem_str(html_log_file,"diff ( y , x , 1 ) = ( 1.0 + ( tan ( sqrt ( 2.0 * x + 1.0 ) ) * tan ( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ; ")
;
logitem_complex(html_log_file,x_start)
;
logitem_complex(html_log_file,x_end)
;
logitem_complex(html_log_file,array_x[1])
;
logitem_complex(html_log_file,glob_h)
;
logitem_h_reason(html_log_file)
;
logitem_integer(html_log_file,Digits)
;
;
glob_desired_digits_correct := 0.0;
logitem_float(html_log_file,glob_desired_digits_correct)
;
if (array_est_digits[1] <> -16) then # if number 11
logitem_integer(html_log_file,array_est_digits[1])
;
else
logitem_str(html_log_file,"Unknown")
;
fi;# end if 11;
if (glob_min_good_digits <> -16) then # if number 11
logitem_integer(html_log_file,glob_min_good_digits)
;
else
logitem_str(html_log_file,"Unknown")
;
fi;# end if 11;
if (glob_good_digits <> -16) then # if number 11
logitem_integer(html_log_file,glob_good_digits)
;
else
logitem_str(html_log_file,"Unknown")
;
fi;# end if 11;
logitem_str(html_log_file,"NA")
;
logitem_str(html_log_file,"NA")
;
logitem_integer(html_log_file,ATS_MAX_TERMS)
;
if (glob_type_given_pole = 0) then # if number 11
logitem_str(html_log_file,"Not Given")
;
logitem_str(html_log_file,"NA")
;
elif
(glob_type_given_pole = 4) then # if number 12
logitem_str(html_log_file,"No Solution")
;
logitem_str(html_log_file,"NA")
;
elif
(glob_type_given_pole = 5) then # if number 13
logitem_str(html_log_file,"Some Pole")
;
logitem_str(html_log_file,"????")
;
elif
(glob_type_given_pole = 3) then # if number 14
logitem_str(html_log_file,"No Pole")
;
logitem_str(html_log_file,"NA")
;
elif
(glob_type_given_pole = 1) then # if number 15
logitem_str(html_log_file,"Real Sing")
;
logitem_float(html_log_file,glob_least_given_sing)
;
elif
(glob_type_given_pole = 2) then # if number 16
logitem_str(html_log_file,"Complex Sing")
;
logitem_float(html_log_file,glob_least_given_sing)
;
fi;# end if 16;
if (glob_least_ratio_sing < glob_large_float) then # if number 16
glob_least_ratio_sing := 0;
logitem_float(html_log_file,glob_least_ratio_sing)
;
else
logitem_str(html_log_file,"NONE")
;
fi;# end if 16;
if (glob_least_3_sing < glob_large_float) then # if number 16
logitem_float(html_log_file,glob_least_3_sing)
;
else
logitem_str(html_log_file,"NONE")
;
fi;# end if 16;
if (glob_least_6_sing < glob_large_float) then # if number 16
glob_least_6_sing := 0.0;
logitem_float(html_log_file,glob_least_6_sing)
;
else
logitem_str(html_log_file,"NONE")
;
fi;# end if 16;
logitem_integer(html_log_file,glob_iter)
;
logitem_time(html_log_file,(glob_clock_sec))
;
if (c(glob_percent_done) < glob__100) then # if number 16
logitem_time(html_log_file,(glob_total_exp_sec))
;
0;
else
logitem_str(html_log_file,"Done")
;
0;
fi;# end if 16;
log_revs(html_log_file," 309 | ")
;
logitem_str(html_log_file,"tan_sqrt diffeq.mxt")
;
logitem_str(html_log_file,"tan_sqrt maple results")
;
logitem_str(html_log_file,"Poor Accuracy")
;
logend(html_log_file)
;
;
fi;# end if 15;
if (glob_html_log) then # if number 15
fclose(html_log_file);
fi;# end if 15
;
;;
end;
# End Function number 12
#END OUTFILEMAIN
end;
# End Function number 12
main();