|\^/| Maple 2016 (X86 64 LINUX) ._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2016 \ MAPLE / All rights reserved. Maple is a trademark of <____ ____> Waterloo Maple Inc. | Type ? for help. #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; omniout_str := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s\n", str) end if end proc # 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; omniout_str_noeol := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s", str) end if end proc # 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; omniout_labstr := proc(iolevel, label, str) global glob_iolevel; if iolevel <= glob_iolevel then print(label, str) end if end proc # 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; omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then if vallen = 4 then printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel) else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel) end if end if end proc # 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; omniout_complex := proc(iolevel, prelabel, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then 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) end if end if end proc # 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; omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then if vallen = 5 then printf("%-30s = %-32d %s\n", prelabel, value, postlabel) else printf("%-30s = %-32d %s \n", prelabel, value, postlabel) end if end if end proc # 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; logitem_time := proc(fd, secs_in) local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int; global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; fprintf(fd, ""); if 0 <= secs_in then 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 0 < years_int then fprintf(fd, "%d Years %d Days %d Hours %d Minutes %d Seconds", years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < days_int then fprintf(fd, "%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int, minutes_int, sec_int) elif 0 < hours_int then fprintf(fd, "%d Hours %d Minutes %d Seconds", hours_int, minutes_int, sec_int) elif 0 < minutes_int then fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int) else fprintf(fd, "%d Seconds", sec_int) end if else fprintf(fd, " 0.0 Seconds") end if; fprintf(fd, "\n") end proc # 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; omniout_timestr := proc(secs_in) local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int; global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; if 0 <= secs_in then 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 0 < years_int then printf( " = %d Years %d Days %d Hours %d Minutes %d Seconds\n", years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < days_int then printf( " = %d Days %d Hours %d Minutes %d Seconds\n", days_int, hours_int, minutes_int, sec_int) elif 0 < hours_int then printf( " = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int, sec_int) elif 0 < minutes_int then printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int) else printf(" = %d Seconds\n", sec_int) end if else printf(" 0.0 Seconds\n") end if end proc # 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; zero_ats_ar := proc(arr_a) local iii; global ATS_MAX_TERMS; iii := 1; while iii <= ATS_MAX_TERMS do arr_a[iii] := glob__0; iii := iii + 1 end do end proc # 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; ats := proc(mmm_ats, arr_a, arr_b, jjj_ats) local iii_ats, lll_ats, ma_ats, ret_ats; global ATS_MAX_TERMS; ret_ats := glob__0; if jjj_ats <= mmm_ats then ma_ats := mmm_ats + 1; iii_ats := jjj_ats; while iii_ats <= mmm_ats do lll_ats := ma_ats - iii_ats; if lll_ats <= ATS_MAX_TERMS and iii_ats <= ATS_MAX_TERMS then ret_ats := ret_ats + c(arr_a[iii_ats])*c(arr_b[lll_ats]) end if; iii_ats := iii_ats + 1 end do end if; ret_ats end proc # 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; att := proc(mmm_att, arr_aa, arr_bb, jjj_att) local al_att, iii_att, lll_att, ma_att, ret_att; global ATS_MAX_TERMS; ret_att := glob__0; if jjj_att < mmm_att then ma_att := mmm_att + 2; iii_att := jjj_att; while iii_att < mmm_att and iii_att <= ATS_MAX_TERMS do lll_att := ma_att - iii_att; al_att := lll_att - 1; if lll_att <= ATS_MAX_TERMS and iii_att <= ATS_MAX_TERMS then ret_att := ret_att + c(arr_aa[iii_att])*c(arr_bb[lll_att])*c(al_att) end if; iii_att := iii_att + 1 end do; ret_att := ret_att/c(mmm_att) end if; ret_att end proc # End Function number 12 # Begin Function number 13 > logditto := proc(file) > fprintf(file,""); > fprintf(file,"ditto"); > fprintf(file,""); > end; logditto := proc(file) fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, "") end proc # End Function number 13 # Begin Function number 14 > logitem_integer := proc(file,n) > fprintf(file,""); > fprintf(file,"%d",n); > fprintf(file,""); > end; logitem_integer := proc(file, n) fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, "") end proc # End Function number 14 # Begin Function number 15 > logitem_str := proc(file,str) > fprintf(file,""); > fprintf(file,str); > fprintf(file,""); > end; logitem_str := proc(file, str) fprintf(file, ""); fprintf(file, str); fprintf(file, "") end proc # 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; logitem_good_digits := proc(file, rel_error) local good_digits; global glob_small_float, glob_prec; fprintf(file, ""); fprintf(file, "%d", glob_min_good_digits); fprintf(file, "") end proc # End Function number 16 # Begin Function number 17 > log_revs := proc(file,revs) > fprintf(file,revs); > end; log_revs := proc(file, revs) fprintf(file, revs) end proc # End Function number 17 # Begin Function number 18 > logitem_float := proc(file,x) > fprintf(file,""); > fprintf(file,"%g",x); > fprintf(file,""); > end; logitem_float := proc(file, x) fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, "") end proc # 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; logitem_complex := proc(file, x) fprintf(file, ""); fprintf(file, "%g + %g I", Re(x), Im(x)); fprintf(file, "") end proc # 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; logitem_h_reason := proc(file) global glob_h_reason; fprintf(file, ""); if glob_h_reason = 1 then fprintf(file, "Max H") elif glob_h_reason = 2 then fprintf(file, "Display Interval") elif glob_h_reason = 3 then fprintf(file, "Optimal") elif glob_h_reason = 4 then fprintf(file, "Pole Accuracy") elif glob_h_reason = 5 then fprintf(file, "Min H (Pole)") elif glob_h_reason = 6 then fprintf(file, "Pole") elif glob_h_reason = 7 then fprintf(file, "Opt Iter") else fprintf(file, "Impossible") end if; fprintf(file, "") end proc # End Function number 20 # Begin Function number 21 > logstart := proc(file) > fprintf(file,""); > end; logstart := proc(file) fprintf(file, "") end proc # End Function number 21 # Begin Function number 22 > logend := proc(file) > fprintf(file,"\n"); > end; logend := proc(file) fprintf(file, "\n") end proc # 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; chk_data := proc() local errflag; global glob_max_iter, ALWAYS, ATS_MAX_TERMS; errflag := false; if glob_max_iter < 2 then omniout_str(ALWAYS, "Illegal max_iter"); errflag := true end if; if errflag then quit end if end proc # 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; comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec2) local ms2, rrr, sec_left, sub1, sub2; global glob_small_float; ms2 := c(clock_sec2); sub1 := c(t_end2 - t_start2); sub2 := c(t2 - t_start2); if sub1 = glob__0 then sec_left := glob__0 else if glob__0 < sub2 then rrr := sub1/sub2; sec_left := rrr*c(ms2) - c(ms2) else sec_left := glob__0 end if end if; sec_left end proc # 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; comp_percent := proc(t_end2, t_start2, t2) local rrr, sub1, sub2; global glob_small_float; sub1 := t_end2 - t_start2; sub2 := t2 - t_start2; if glob_small_float < sub2 then rrr := glob__100*sub2/sub1 else rrr := 0. end if; rrr end proc # 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; comp_rad_from_ratio := proc(term1, term2, last_no) local ret; global glob_h, glob_larger_float; if glob__0 < float_abs(term2) then ret := float_abs(term1*glob_h/term2) else ret := glob_larger_float end if; ret end proc # 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; comp_ord_from_ratio := proc(term1, term2, last_no) local ret; global glob_h, glob_larger_float; if glob__0 < float_abs(term2) then 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 end if; ret end proc # 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; c := proc(in_val) local ret; ret := evalc(in_val); ret end proc # 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; comp_rad_from_three_terms := proc(term1, term2, term3, last_no) local ret, temp; global glob_h, glob_larger_float; temp := float_abs(term2*term2*c(last_no) + glob__m2*term2*term2 - term1*term3*c(last_no) + term1*term3); if glob__0 < float_abs(temp) then ret := float_abs(term2*glob_h*term1/temp) else ret := glob_larger_float end if; ret end proc # 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; comp_ord_from_three_terms := proc(term1, term2, term3, last_no) 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 end proc # 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; comp_rad_from_six_terms := proc( term1, term2, term3, term4, term5, term6, last_no) local ret, rm0, rm1, rm2, rm3, rm4, nr1, nr2, dr1, dr2, ds2, rad_c, ord_no, ds1, rcs; global glob_h, glob_larger_float, glob_six_term_ord_save; if term5 <> glob__0 and term4 <> glob__0 and term3 <> glob__0 and term2 <> glob__0 and term1 <> glob__0 then 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 rad_c := glob_larger_float; ord_no := glob_larger_float else if glob__0 < float_abs(nr1*dr2 - nr2*dr1) then rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(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 glob__0 < rcs then rad_c := float_abs(sqrt(rcs)*float_abs(glob_h)) else rad_c := glob_larger_float; ord_no := glob_larger_float end if else rad_c := glob_larger_float; ord_no := glob_larger_float end if else rad_c := glob_larger_float; ord_no := glob_larger_float end if end if else rad_c := glob_larger_float; ord_no := glob_larger_float end if; glob_six_term_ord_save := ord_no; rad_c end proc # 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; comp_ord_from_six_terms := proc( term1, term2, term3, term4, term5, term6, last_no) global glob_six_term_ord_save; glob_six_term_ord_save end proc # End Function number 32 # Begin Function number 33 > factorial_2 := proc(nnn) > ret := nnn!; > ret;; > end; Warning, `ret` is implicitly declared local to procedure `factorial_2` factorial_2 := proc(nnn) local ret; ret := nnn!; ret end proc # 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; factorial_1 := proc(nnn) local ret; global ATS_MAX_TERMS, array_fact_1; if nnn <= ATS_MAX_TERMS then if array_fact_1[nnn] = 0 then ret := factorial_2(nnn); array_fact_1[nnn] := ret else ret := array_fact_1[nnn] end if else ret := factorial_2(nnn) end if; ret end proc # 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; factorial_3 := proc(mmm, nnn) local ret; global ATS_MAX_TERMS, array_fact_2; if nnn <= ATS_MAX_TERMS and mmm <= ATS_MAX_TERMS then if array_fact_2[mmm, nnn] = 0 then ret := factorial_1(mmm)/factorial_1(nnn); array_fact_2[mmm, nnn] := ret else ret := array_fact_2[mmm, nnn] end if else ret := factorial_2(mmm)/factorial_2(nnn) end if; ret end proc # End Function number 35 # Begin Function number 36 > convfloat := proc(mmm) > (mmm); > end; convfloat := proc(mmm) mmm end proc # End Function number 36 # Begin Function number 37 > elapsed_time_seconds := proc() > time(); > end; elapsed_time_seconds := proc() time() end proc # End Function number 37 # Begin Function number 38 > float_abs := proc(x) > abs(x); > end; float_abs := proc(x) abs(x) end proc # End Function number 38 # Begin Function number 39 > expt := proc(x,y) > x^y; > end; expt := proc(x, y) x^y end proc # End Function number 39 # Begin Function number 40 > neg := proc(x) > -x; > end; neg := proc(x) -x end proc # End Function number 40 # Begin Function number 41 > int_trunc := proc(x) > trunc(x); > end; int_trunc := proc(x) trunc(x) end proc # 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; 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 proc # 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; exact_soln_y := proc(x) return tan(sqrt(c(2.0)*c(x) + c(1.0))) end proc > 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; Warning, `it` is implicitly declared local to procedure `next_delta` next_delta := proc() local it; 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. + 0.*I]; glob_nxt := glob_nxt + 1; it := x_delta[glob_nxt]; return it end proc #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; 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 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 0. < float_abs(rad_given) then glob_least_given_sing := rad_given end if elif glob_type_given_pole = 3 then omniout_str(ALWAYS, "NO POLE (given) for Equation 1") elif glob_type_given_pole = 5 then omniout_str(ALWAYS, "SOME POLE (given) for Equation 1") else omniout_str(ALWAYS, "NO INFO (given) for Equation 1") end if; if array_rad_test_poles[1, 1] < glob_large_float then 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 glob_least_ratio_sing := array_rad_test_poles[1, 1] end if; 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") end if; if glob__small < array_rad_test_poles[1, 2] and array_rad_test_poles[1, 2] < glob_large_float then 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 glob_least_3_sing := array_rad_test_poles[1, 2] end if; 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") end if; if glob__small < array_rad_test_poles[1, 3] and array_rad_test_poles[1, 3] < glob_large_float then 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 glob_least_6_sing := array_rad_test_poles[1, 3] end if; 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") end if end proc # 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; my_check_sign := proc(x0, xf) local ret; if x0 < xf then ret := glob__1 else ret := glob__m1 end if; ret end proc # 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; est_size_answer := proc() local min_size; 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, 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, array_const_1, array_const_0D0, array_const_1D0, array_const_2D0, 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; min_size := glob_estimated_size_answer; if float_abs(array_y[1]) < min_size then min_size := float_abs(array_y[1]); omniout_float(ALWAYS, "min_size", 32, min_size, 32, "") end if; if min_size < glob__1 then min_size := glob__1; omniout_float(ALWAYS, "min_size", 32, min_size, 32, "") end if; min_size end proc # 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; test_suggested_h := proc() local max_estimated_step_error, hn_div_ho, hn_div_ho_2, hn_div_ho_3, no_terms, est_tmp; 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, 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, array_const_1, array_const_0D0, array_const_1D0, array_const_2D0, 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; 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 max_estimated_step_error <= est_tmp then max_estimated_step_error := est_tmp end if; omniout_float(ALWAYS, "max_estimated_step_error", 32, max_estimated_step_error, 32, ""); max_estimated_step_error end proc # 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; track_estimated_error := proc() local hn_div_ho, hn_div_ho_2, hn_div_ho_3, no_terms, est_tmp; 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, 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, array_const_1, array_const_0D0, array_const_1D0, array_const_2D0, 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; 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 c(est_tmp) < glob_prec*c(float_abs(array_y[1])) then est_tmp := c(glob_prec)*c(float_abs(array_y[1])) end if; if c(array_max_est_error[1]) <= c(est_tmp) then array_max_est_error[1] := c(est_tmp) end if end proc # 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; reached_interval := proc() local ret; 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, 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, array_const_1, array_const_0D0, array_const_1D0, array_const_2D0, 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; if glob_check_sign*glob_next_display - glob_h/glob__10 <= glob_check_sign*array_x[1] then ret := true else ret := false end if; return ret end proc # 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; display_alot := proc(iter) local abserr, closed_form_val_y, ind_var, numeric_val, relerr, term_no, est_rel_err; 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, 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, array_const_1, array_const_0D0, array_const_1D0, array_const_2D0, 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; 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 0. < float_abs(closed_form_val_y) then relerr := abserr/float_abs(closed_form_val_y); if 0. < float_abs(c(relerr)) then glob_good_digits := round(-log10(relerr)) else relerr := 0.; glob_good_digits := Digits - 2 end if else relerr := glob__m1; glob_good_digits := -16 end if; if glob_good_digits < glob_min_good_digits then glob_min_good_digits := glob_good_digits end if; 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, " ") end proc # 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; prog_report := proc(x_start, x_end) local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; 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, 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, array_const_1, array_const_0D0, array_const_1D0, array_const_2D0, 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; 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 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) end if end proc # 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; check_for_pole := proc() 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; 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, 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, array_const_1, array_const_0D0, array_const_1D0, array_const_2D0, 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; 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 - 11; cnt := 0; while last_no < ATS_MAX_TERMS - 3 and found_sing = 1 do tmp_rad := comp_rad_from_ratio(array_y_higher[1, last_no - 1], array_y_higher[1, last_no], last_no); if glob__0 < float_abs(prev_tmp_rad) then tmp_ratio := tmp_rad/prev_tmp_rad else tmp_ratio := glob_large_float end if; if 0 < cnt and tmp_ratio < glob_upper_ratio_limit and glob_lower_ratio_limit < tmp_ratio then rad_c := tmp_rad elif cnt = 0 then rad_c := tmp_rad elif 0 < cnt then found_sing := 0 end if; prev_tmp_rad := tmp_rad; cnt := cnt + 1; last_no := last_no + 1 end do; if found_sing = 1 then if rad_c < array_rad_test_poles[1, 1] then 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 end if end if; 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 - 11; cnt := 0; while last_no < ATS_MAX_TERMS - 4 and found_sing = 1 do 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 glob__0 < float_abs(prev_tmp_rad) then tmp_ratio := tmp_rad/prev_tmp_rad else tmp_ratio := glob_large_float end if; if 0 < cnt and tmp_ratio < glob_upper_ratio_limit and glob_lower_ratio_limit < tmp_ratio then rad_c := tmp_rad elif cnt = 0 then rad_c := tmp_rad elif 0 < cnt then found_sing := 0 end if; prev_tmp_rad := tmp_rad; cnt := cnt + 1; last_no := last_no + 1 end do; if found_sing = 1 then if rad_c < array_rad_test_poles[1, 2] then 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 glob_min_pole_est := rad_c end if; array_ord_test_poles[1, 2] := tmp_ord end if end if; 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 - 11; cnt := 0; while last_no < ATS_MAX_TERMS - 7 and found_sing = 1 do 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 glob__0 < float_abs(prev_tmp_rad) then tmp_ratio := tmp_rad/prev_tmp_rad else tmp_ratio := glob_large_float end if; if 0 < cnt and tmp_ratio < glob_upper_ratio_limit and glob_lower_ratio_limit < tmp_ratio then rad_c := tmp_rad elif cnt = 0 then rad_c := tmp_rad elif 0 < cnt then found_sing := 0 end if; prev_tmp_rad := tmp_rad; cnt := cnt + 1; last_no := last_no + 1 end do; if found_sing = 1 then if rad_c < array_rad_test_poles[1, 3] then 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 glob_min_pole_est := rad_c end if; array_ord_test_poles[1, 3] := tmp_ord end if end if; display_poles() end proc # 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; atomall := proc() local kkk, order_d, adj2, adj3, temporary, term; 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, 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, array_const_1, array_const_0D0, array_const_1D0, array_const_2D0, 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; array_tmp1[1] := array_const_2D0[1]*array_x[1]; array_tmp2[1] := array_tmp1[1] + array_const_1D0[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]; array_tmp5[1] := array_const_2D0[1]*array_x[1]; array_tmp6[1] := array_tmp5[1] + array_const_1D0[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]; array_tmp9[1] := array_tmp4[1]*array_tmp8[1]; array_tmp10[1] := array_const_1D0[1] + array_tmp9[1]; array_tmp11[1] := array_const_2D0[1]*array_x[1]; array_tmp12[1] := array_tmp11[1] + array_const_1D0[1]; array_tmp13[1] := sqrt(array_tmp12[1]); array_tmp14[1] := array_tmp10[1]/array_tmp13[1]; array_tmp15[1] := array_const_0D0[1] + array_tmp14[1]; if not array_y_set_initial[1, 2] then if 1 <= ATS_MAX_TERMS then temporary := c(array_tmp15[1])*expt(glob_h, c(1))*c(factorial_3(0, 1)); if 2 <= ATS_MAX_TERMS then array_y[2] := temporary; array_y_higher[1, 2] := temporary end if; temporary := c(temporary)*c(1)/c(glob_h); array_y_higher[2, 1] := c(temporary) end if end if; kkk := 2; array_tmp1[2] := array_const_2D0[1]*array_x[2]; array_tmp2[2] := array_tmp1[2]; array_tmp3[2] := array_tmp2[2]/(array_tmp3[1]*glob__2); 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]; array_tmp5[2] := array_const_2D0[1]*array_x[2]; array_tmp6[2] := array_tmp5[2]; array_tmp7[2] := array_tmp6[2]/(array_tmp7[1]*glob__2); 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]; array_tmp9[2] := ats(2, array_tmp4, array_tmp8, 1); array_tmp10[2] := array_tmp9[2]; array_tmp11[2] := array_const_2D0[1]*array_x[2]; array_tmp12[2] := array_tmp11[2]; array_tmp13[2] := array_tmp12[2]/(array_tmp13[1]*glob__2); array_tmp14[2] := (array_tmp10[2] - ats(2, array_tmp13, array_tmp14, 2) )/array_tmp13[1]; array_tmp15[2] := array_tmp14[2]; if not array_y_set_initial[1, 3] then if 2 <= ATS_MAX_TERMS then temporary := c(array_tmp15[2])*expt(glob_h, c(1))*c(factorial_3(1, 2)); if 3 <= ATS_MAX_TERMS then array_y[3] := temporary; array_y_higher[1, 3] := temporary end if; temporary := c(temporary)*c(2)/c(glob_h); array_y_higher[2, 2] := c(temporary) end if end if; kkk := 3; array_tmp3[3] := 0; array_tmp3[3] := neg(ats(3, array_tmp3, array_tmp3, 2))/(array_tmp3[1]*glob__2); 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]; array_tmp7[3] := 0; array_tmp7[3] := neg(ats(3, array_tmp7, array_tmp7, 2))/(array_tmp7[1]*glob__2); 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]; array_tmp9[3] := ats(3, array_tmp4, array_tmp8, 1); array_tmp10[3] := array_tmp9[3]; array_tmp13[3] := 0; array_tmp13[3] := neg(ats(3, array_tmp13, array_tmp13, 2))/(array_tmp13[1]*glob__2); array_tmp14[3] := (array_tmp10[3] - ats(3, array_tmp13, array_tmp14, 2) )/array_tmp13[1]; array_tmp15[3] := array_tmp14[3]; if not array_y_set_initial[1, 4] then if 3 <= ATS_MAX_TERMS then temporary := c(array_tmp15[3])*expt(glob_h, c(1))*c(factorial_3(2, 3)); if 4 <= ATS_MAX_TERMS then array_y[4] := temporary; array_y_higher[1, 4] := temporary end if; temporary := c(temporary)*c(3)/c(glob_h); array_y_higher[2, 3] := c(temporary) end if end if; kkk := 4; array_tmp3[4] := 0; array_tmp3[4] := neg(ats(4, array_tmp3, array_tmp3, 2))/(array_tmp3[1]*glob__2); 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]; array_tmp7[4] := 0; array_tmp7[4] := neg(ats(4, array_tmp7, array_tmp7, 2))/(array_tmp7[1]*glob__2); 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]; array_tmp9[4] := ats(4, array_tmp4, array_tmp8, 1); array_tmp10[4] := array_tmp9[4]; array_tmp13[4] := 0; array_tmp13[4] := neg(ats(4, array_tmp13, array_tmp13, 2))/(array_tmp13[1]*glob__2); array_tmp14[4] := (array_tmp10[4] - ats(4, array_tmp13, array_tmp14, 2) )/array_tmp13[1]; array_tmp15[4] := array_tmp14[4]; if not array_y_set_initial[1, 5] then if 4 <= ATS_MAX_TERMS then temporary := c(array_tmp15[4])*expt(glob_h, c(1))*c(factorial_3(3, 4)); if 5 <= ATS_MAX_TERMS then array_y[5] := temporary; array_y_higher[1, 5] := temporary end if; temporary := c(temporary)*c(4)/c(glob_h); array_y_higher[2, 4] := c(temporary) end if end if; kkk := 5; array_tmp3[5] := 0; array_tmp3[5] := neg(ats(5, array_tmp3, array_tmp3, 2))/(array_tmp3[1]*glob__2); 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]; array_tmp7[5] := 0; array_tmp7[5] := neg(ats(5, array_tmp7, array_tmp7, 2))/(array_tmp7[1]*glob__2); 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]; array_tmp9[5] := ats(5, array_tmp4, array_tmp8, 1); array_tmp10[5] := array_tmp9[5]; array_tmp13[5] := 0; array_tmp13[5] := neg(ats(5, array_tmp13, array_tmp13, 2))/(array_tmp13[1]*glob__2); array_tmp14[5] := (array_tmp10[5] - ats(5, array_tmp13, array_tmp14, 2) )/array_tmp13[1]; array_tmp15[5] := array_tmp14[5]; if not array_y_set_initial[1, 6] then if 5 <= ATS_MAX_TERMS then temporary := c(array_tmp15[5])*expt(glob_h, c(1))*c(factorial_3(4, 5)); if 6 <= ATS_MAX_TERMS then array_y[6] := temporary; array_y_higher[1, 6] := temporary end if; temporary := c(temporary)*c(5)/c(glob_h); array_y_higher[2, 5] := c(temporary) end if end if; kkk := 6; while kkk <= ATS_MAX_TERMS do 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]; 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]; array_tmp9[kkk] := ats(kkk, array_tmp4, array_tmp8, 1); array_tmp10[kkk] := array_tmp9[kkk]; array_tmp13[kkk] := 0; array_tmp13[kkk] := neg(ats(kkk, array_tmp13, array_tmp13, 2))/( array_tmp13[1]*glob__2); array_tmp14[kkk] := ( array_tmp10[kkk] - ats(kkk, array_tmp13, array_tmp14, 2))/ array_tmp13[1]; array_tmp15[kkk] := array_tmp14[kkk]; order_d := 1; if kkk + order_d <= ATS_MAX_TERMS then if not array_y_set_initial[1, kkk + order_d] then 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 1 <= term and term <= ATS_MAX_TERMS and adj3 < order_d + 1 do if adj3 <= order_d + 1 then if 0 < adj2 then temporary := c(temporary)*c(adj2)/c(glob_h) else temporary := c(temporary) end if; array_y_higher[adj3, term] := c(temporary) end if; term := term - 1; adj2 := adj2 - 1; adj3 := adj3 + 1 end do end if end if; kkk := kkk + 1 end do end proc # 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,"); > 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,"0.003 + 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,"0.003 + 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,"0.003 + 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,"0.001 + 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; Warning, `h_new` is implicitly declared local to procedure `main` Warning, `ratio` is implicitly declared local to procedure `main` main := proc() 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, h_new, ratio; 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, 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, array_const_1, array_const_0D0, array_const_1D0, array_const_2D0, 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; Digits := 32; max_terms := 40; glob_html_log := true; 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 .. 41, []); array_y_higher_work := Array(0 .. 2, 0 .. 41, []); array_y_higher_work2 := Array(0 .. 2, 0 .. 41, []); array_y_set_initial := Array(0 .. 2, 0 .. 41, []); array_given_rad_poles := Array(0 .. 2, 0 .. 4, []); array_given_ord_poles := Array(0 .. 2, 0 .. 4, []); array_rad_test_poles := Array(0 .. 2, 0 .. 5, []); array_ord_test_poles := Array(0 .. 2, 0 .. 5, []); array_fact_2 := Array(0 .. 40, 0 .. 41, []); term := 1; while term <= 40 do array_y_init[term] := c(0.); term := term + 1 end do; term := 1; while term <= 40 do array_norms[term] := c(0.); term := term + 1 end do ; term := 1; while term <= 40 do array_fact_1[term] := c(0.); term := term + 1 end do; term := 1; while term <= 2 do array_1st_rel_error[term] := c(0.); term := term + 1 end do; term := 1; while term <= 2 do array_last_rel_error[term] := c(0.); term := term + 1 end do; term := 1; while term <= 2 do array_est_rel_error[term] := c(0.); term := term + 1 end do; term := 1; while term <= 2 do array_max_est_error[term] := c(0.); term := term + 1 end do; term := 1; while term <= 2 do array_type_pole[term] := 0; term := term + 1 end do; term := 1; while term <= 2 do array_type_real_pole[term] := 0; term := term + 1 end do; term := 1; while term <= 2 do array_type_complex_pole[term] := 0; term := term + 1 end do; term := 1; while term <= 2 do array_est_digits[term] := 0; term := term + 1 end do ; term := 1; while term <= 40 do array_y[term] := c(0.); term := term + 1 end do; term := 1; while term <= 40 do array_x[term] := c(0.); term := term + 1 end do; term := 1; while term <= 40 do array_tmp0[term] := c(0.); term := term + 1 end do; term := 1; while term <= 40 do array_tmp1[term] := c(0.); term := term + 1 end do; term := 1; while term <= 40 do array_tmp2[term] := c(0.); term := term + 1 end do; term := 1; while term <= 40 do array_tmp3[term] := c(0.); term := term + 1 end do; term := 1; while term <= 40 do array_tmp4_g[term] := c(0.); term := term + 1 end do; term := 1; while term <= 40 do array_tmp4_a1[term] := c(0.); term := term + 1 end do; term := 1; while term <= 40 do array_tmp4_a2[term] := c(0.); term := term + 1 end do; term := 1; while term <= 40 do array_tmp4[term] := c(0.); term := term + 1 end do; term := 1; while term <= 40 do array_tmp5[term] := c(0.); term := term + 1 end do; term := 1; while term <= 40 do array_tmp6[term] := c(0.); term := term + 1 end do; term := 1; while term <= 40 do array_tmp7[term] := c(0.); term := term + 1 end do; term := 1; while term <= 40 do array_tmp8_g[term] := c(0.); term := term + 1 end do; term := 1; while term <= 40 do array_tmp8_a1[term] := c(0.); term := term + 1 end do; term := 1; while term <= 40 do array_tmp8_a2[term] := c(0.); term := term + 1 end do; term := 1; while term <= 40 do array_tmp8[term] := c(0.); term := term + 1 end do; term := 1; while term <= 40 do array_tmp9[term] := c(0.); term := term + 1 end do; term := 1; while term <= 40 do array_tmp10[term] := c(0.); term := term + 1 end do ; term := 1; while term <= 40 do array_tmp11[term] := c(0.); term := term + 1 end do ; term := 1; while term <= 40 do array_tmp12[term] := c(0.); term := term + 1 end do ; term := 1; while term <= 40 do array_tmp13[term] := c(0.); term := term + 1 end do ; term := 1; while term <= 40 do array_tmp14[term] := c(0.); term := term + 1 end do ; term := 1; while term <= 40 do array_tmp15[term] := c(0.); term := term + 1 end do ; term := 1; while term <= 40 do array_m1[term] := c(0.); term := term + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= 40 do array_y_higher[ord, term] := c(0.); term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= 40 do array_y_higher_work[ord, term] := c(0.); term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= 40 do array_y_higher_work2[ord, term] := c(0.); term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= 40 do array_y_set_initial[ord, term] := c(0.); term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= 3 do array_given_rad_poles[ord, term] := c(0.); term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= 3 do array_given_ord_poles[ord, term] := c(0.); term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= 4 do array_rad_test_poles[ord, term] := c(0.); term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= 4 do array_ord_test_poles[ord, term] := c(0.); term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 40 do term := 1; while term <= 40 do array_fact_2[ord, term] := c(0.); term := term + 1 end do; ord := ord + 1 end do; 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.); 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; iiif := 0; while iiif <= ATS_MAX_TERMS do jjjf := 0; while jjjf <= ATS_MAX_TERMS do array_fact_1[iiif] := 0; array_fact_2[iiif, jjjf] := 0; jjjf := jjjf + 1 end do; iiif := iiif + 1 end do; 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(0.1*10^(-50)); glob_small_float := c(0.1*10^(-50)); glob_smallish_float := c(0.1*10^(-60)); glob_large_float := c(0.10*10^101); glob_larger_float := c(0.11*10^101); 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.); 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(0.10*10^(-15)); glob_check_sign := c(1.0); glob_desired_digits_correct := c(8.0); glob_max_estimated_step_error := c(0.); glob_ratio_of_radius := c(0.1); glob_percent_done := c(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.); glob_clock_start_sec := c(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(0.99*10^201); glob_least_ratio_sing := c(0.99*10^201); glob_least_3_sing := c(0.99*10^101); glob_least_6_sing := c(0.99*10^101); glob_last_good_h := c(0.1); glob_max_h := c(0.1); glob_min_h := c(0.1*10^(-5)); glob_display_interval := c(0.1); glob_abserr := c(0.1*10^(-10)); glob_relerr := c(0.1*10^(-10)); glob_min_pole_est := c(0.1*10^10); glob_max_rel_trunc_err := c(0.1*10^(-10)); glob_max_trunc_err := c(0.1*10^(-10)); glob_max_hours := c(0.); glob_optimal_clock_start_sec := c(0.); glob_optimal_start := c(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.); glob_normmax := c(0.); glob_max_minutes := c(0.); glob_next_display := c(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; 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; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; ATS_MAX_TERMS := 40; glob_iolevel := INFO; 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.; 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 + ( t\ an ( 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,"); 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, "0.003 + 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, "0.003 + 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, "0.003 + 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, "0.001 + 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(0.10*10^101); glob_larger_float := c(0.11*10^101); glob_almost_1 := c(0.99); x_start := 1.4 + 0.1*I; x_end := 99.0 + 99.0*I; array_y_init[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.); array_given_ord_poles[1, 1] := c(0.5); array_given_ord_poles[1, 2] := c(0.); 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); glob_last_good_h := glob_h; glob_max_sec := 60.0*glob_max_minutes + 3600.0*glob_max_hours; found_h := true; glob_h := next_delta(); if float_abs(glob_min_pole_est)*glob_ratio_of_radius < float_abs(glob_h) then 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*h_new < glob_check_sign*glob_min_h then omniout_str(ALWAYS, "SETTING H FOR MIN H"); h_new := glob_min_h; glob_h_reason := 5 end if; term := 1; ratio := c(1.0); while term <= ATS_MAX_TERMS do 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 end do; glob_h := h_new end if; if glob_html_log then html_log_file := fopen("entry.html", WRITE, TEXT) end if; found_h := true; if found_h then omniout_str(ALWAYS, "START of Soultion"); 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; term_no := 1; while term_no <= order_diff do 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 end do; rows := order_diff; r_order := 1; while r_order <= rows do term_no := 1; while term_no <= rows - r_order + 1 do it := term_no + r_order - 1; if term_no < ATS_MAX_TERMS then array_y_higher[r_order, term_no] := array_y_init[it]* expt(glob_h, c(term_no - 1))/ c(factorial_1(term_no - 1)) end if; term_no := term_no + 1 end do; r_order := r_order + 1 end do; 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(); if float_abs(glob_min_pole_est)*glob_ratio_of_radius < float_abs(glob_h) then 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*h_new < glob_check_sign*glob_min_h then omniout_str(ALWAYS, "SETTING H FOR MIN H"); h_new := glob_min_h; glob_h_reason := 5 end if; term := 1; ratio := c(1.0); while term <= ATS_MAX_TERMS do 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 end do; glob_h := h_new end if; glob_optimal_clock_start_sec := elapsed_time_seconds(); while glob_iter < glob_max_iter and (glob_iter < 10 or not (Re(glob_h) = 0. and Im(glob_h) = 0.)) do omniout_str(INFO, " "); found_h := true; glob_h := next_delta(); if float_abs(glob_min_pole_est)*glob_ratio_of_radius < float_abs(glob_h) then 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*h_new < glob_check_sign*glob_min_h then omniout_str(ALWAYS, "SETTING H FOR MIN H"); h_new := glob_min_h; glob_h_reason := 5 end if; term := 1; ratio := c(1.0); while term <= ATS_MAX_TERMS do 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 end do; glob_h := h_new end if; glob_iter := glob_iter + 1; glob_clock_sec := elapsed_time_seconds(); atomall(); if not (Re(glob_h) = 0. and Im(glob_h) = 0.) then display_alot(current_iter) end if; if glob_look_poles and not (Re(glob_h) = 0. and Im(glob_h) = 0.) then check_for_pole() end if; glob_next_display := glob_next_display + glob_display_interval; array_x[1] := array_x[1] + glob_h; array_x[2] := glob_h; order_diff := 2; ord := 2; calc_term := 1; iii := ATS_MAX_TERMS; while calc_term <= iii do 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 end do; temp_sum := glob__0; ord := 2; calc_term := 1; iii := ATS_MAX_TERMS; while calc_term <= iii do temp_sum := temp_sum + array_y_higher_work[ord, iii]; iii := iii - 1 end do; array_y_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, c(calc_term - 1))/ c(factorial_1(calc_term - 1)); ord := 1; calc_term := 2; iii := ATS_MAX_TERMS; while calc_term <= iii do 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 end do; temp_sum := glob__0; ord := 1; calc_term := 2; iii := ATS_MAX_TERMS; while calc_term <= iii do temp_sum := temp_sum + array_y_higher_work[ord, iii]; iii := iii - 1 end do; array_y_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, c(calc_term - 1))/ c(factorial_1(calc_term - 1)); ord := 1; calc_term := 1; iii := ATS_MAX_TERMS; while calc_term <= iii do 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 end do; temp_sum := glob__0; ord := 1; calc_term := 1; iii := ATS_MAX_TERMS; while calc_term <= iii do temp_sum := temp_sum + array_y_higher_work[ord, iii]; iii := iii - 1 end do; array_y_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, c(calc_term - 1))/ c(factorial_1(calc_term - 1)); term_no := ATS_MAX_TERMS; while 1 <= term_no do array_y[term_no] := array_y_higher_work2[1, term_no]; ord := 1; while ord <= order_diff do array_y_higher[ord, term_no] := array_y_higher_work2[ord, term_no]; ord := ord + 1 end do; term_no := term_no - 1 end do end do; omniout_str(ALWAYS, "Finished!"); if glob_max_iter <= glob_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!") end if; if glob_max_sec <= elapsed_time_seconds() - glob_orig_start_sec then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!") end if; 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 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.; logitem_float(html_log_file, glob_desired_digits_correct); if array_est_digits[1] <> -16 then logitem_integer(html_log_file, array_est_digits[1]) else logitem_str(html_log_file, "Unknown") end if; if glob_min_good_digits <> -16 then logitem_integer(html_log_file, glob_min_good_digits) else logitem_str(html_log_file, "Unknown") end if; if glob_good_digits <> -16 then logitem_integer(html_log_file, glob_good_digits) else logitem_str(html_log_file, "Unknown") end if; 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 logitem_str(html_log_file, "Not Given"); logitem_str(html_log_file, "NA") elif glob_type_given_pole = 4 then logitem_str(html_log_file, "No Solution"); logitem_str(html_log_file, "NA") elif glob_type_given_pole = 5 then logitem_str(html_log_file, "Some Pole"); logitem_str(html_log_file, "????") elif glob_type_given_pole = 3 then logitem_str(html_log_file, "No Pole"); logitem_str(html_log_file, "NA") elif glob_type_given_pole = 1 then logitem_str(html_log_file, "Real Sing"); logitem_float(html_log_file, glob_least_given_sing) elif glob_type_given_pole = 2 then logitem_str(html_log_file, "Complex Sing"); logitem_float(html_log_file, glob_least_given_sing) end if; if glob_least_ratio_sing < glob_large_float then glob_least_ratio_sing := 0; logitem_float(html_log_file, glob_least_ratio_sing) else logitem_str(html_log_file, "NONE") end if; if glob_least_3_sing < glob_large_float then logitem_float(html_log_file, glob_least_3_sing) else logitem_str(html_log_file, "NONE") end if; if glob_least_6_sing < glob_large_float then glob_least_6_sing := 0.; logitem_float(html_log_file, glob_least_6_sing) else logitem_str(html_log_file, "NONE") end if; logitem_integer(html_log_file, glob_iter); logitem_time(html_log_file, glob_clock_sec); if c(glob_percent_done) < glob__100 then logitem_time(html_log_file, glob_total_exp_sec); 0 else logitem_str(html_log_file, "Done"); 0 end if; 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) end if; if glob_html_log then fclose(html_log_file) end if end if end proc # End Function number 12 > main(); memory used=3.7MB, alloc=40.3MB, time=0.08 ##############ECHO OF PROBLEM################# ##############temp/tan_sqrtpostcpx.cpx################# 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 ) ; ! #BEGIN FIRST INPUT BLOCK Digits:=32; max_terms:=40; ! #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 ! #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 OF ECHO OF PROBLEM################# START of Soultion memory used=39.4MB, alloc=40.3MB, time=0.50 x[1] = 1.4 0.1 h = 0.0001 0.005 y[1] (numeric) = -2.46195285409 0.367754104928 y[1] (closed_form) = -2.46195285409 0.367754104928 absolute error = 0 relative error = 0 % Correct digits = 30 Radius of convergence (given) for eq 1 = 3.401 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=85.0MB, alloc=44.3MB, time=1.08 x[1] = 1.4001 0.105 h = 0.0001 0.003 y[1] (numeric) = -2.45648498841 0.385272668433 y[1] (closed_form) = -2.45638031504 0.385215316265 absolute error = 0.0001194 relative error = 0.0048 % Correct digits = 4 Radius of convergence (given) for eq 1 = 3.402 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=130.5MB, alloc=44.3MB, time=1.64 x[1] = 1.4002 0.108 h = 0.001 0.001 y[1] (numeric) = -2.45292698799 0.39566681201 y[1] (closed_form) = -2.45278917715 0.395588610341 absolute error = 0.0001585 relative error = 0.006378 % Correct digits = 4 Radius of convergence (given) for eq 1 = 3.402 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=176.1MB, alloc=44.3MB, time=2.21 x[1] = 1.4012 0.109 h = 0.001 0.003 y[1] (numeric) = -2.44834590178 0.398057159904 y[1] (closed_form) = -2.44821360221 0.397971765614 absolute error = 0.0001575 relative error = 0.006349 % Correct digits = 4 Radius of convergence (given) for eq 1 = 3.403 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=221.7MB, alloc=44.3MB, time=2.77 x[1] = 1.4022 0.112 h = 0.0001 0.004 y[1] (numeric) = -2.44157812761 0.407374063702 y[1] (closed_form) = -2.44142437643 0.407244711586 absolute error = 0.0002009 relative error = 0.008118 % Correct digits = 4 Radius of convergence (given) for eq 1 = 3.404 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=267.2MB, alloc=44.3MB, time=3.33 x[1] = 1.4023 0.116 h = 0.003 0.006 y[1] (numeric) = -2.43674667417 0.421054547769 y[1] (closed_form) = -2.43652838859 0.420886665868 absolute error = 0.0002754 relative error = 0.01114 % Correct digits = 4 Radius of convergence (given) for eq 1 = 3.404 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=312.8MB, alloc=44.3MB, time=3.90 x[1] = 1.4053 0.122 h = 0.0001 0.005 y[1] (numeric) = -2.41951981018 0.438150335909 y[1] (closed_form) = -2.41928208246 0.43776790359 absolute error = 0.0004503 relative error = 0.01832 % Correct digits = 4 Radius of convergence (given) for eq 1 = 3.407 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=358.3MB, alloc=44.3MB, time=4.46 x[1] = 1.4054 0.127 h = 0.0001 0.003 y[1] (numeric) = -2.4132107805 0.454881549689 y[1] (closed_form) = -2.41287943868 0.454442936133 absolute error = 0.0005497 relative error = 0.02239 % Correct digits = 4 Radius of convergence (given) for eq 1 = 3.408 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=403.9MB, alloc=44.3MB, time=5.02 x[1] = 1.4055 0.13 h = 0.001 0.001 y[1] (numeric) = -2.40916747837 0.464792574739 y[1] (closed_form) = -2.40880638535 0.464330999344 absolute error = 0.000586 relative error = 0.02389 % Correct digits = 4 Radius of convergence (given) for eq 1 = 3.408 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=449.4MB, alloc=44.3MB, time=5.58 x[1] = 1.4065 0.131 h = 0.001 0.003 y[1] (numeric) = -2.40457900272 0.466861252792 y[1] (closed_form) = -2.40422385926 0.466393282554 absolute error = 0.0005875 relative error = 0.02399 % Correct digits = 4 Radius of convergence (given) for eq 1 = 3.409 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=494.9MB, alloc=44.3MB, time=6.14 x[1] = 1.4075 0.134 h = 0.0001 0.004 y[1] (numeric) = -2.39747857863 0.475544441865 y[1] (closed_form) = -2.3971067871 0.475032568464 absolute error = 0.0006326 relative error = 0.02589 % Correct digits = 4 Radius of convergence (given) for eq 1 = 3.41 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=540.6MB, alloc=44.3MB, time=6.71 x[1] = 1.4076 0.138 h = 0.003 0.006 y[1] (numeric) = -2.39202240592 0.488577665146 y[1] (closed_form) = -2.39159236873 0.488023298245 absolute error = 0.0007016 relative error = 0.02874 % Correct digits = 4 Radius of convergence (given) for eq 1 = 3.41 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=586.2MB, alloc=44.3MB, time=7.27 x[1] = 1.4106 0.144 h = 0.0001 0.005 y[1] (numeric) = -2.37433459919 0.504243042023 y[1] (closed_form) = -2.37390476171 0.50348183641 absolute error = 0.0008742 relative error = 0.03602 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.414 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=631.8MB, alloc=44.3MB, time=7.83 x[1] = 1.4107 0.149 h = 0.0001 0.003 y[1] (numeric) = -2.36729039712 0.520155926911 y[1] (closed_form) = -2.36677626721 0.519332979283 absolute error = 0.0009703 relative error = 0.04005 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.414 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=677.3MB, alloc=44.3MB, time=8.39 x[1] = 1.4108 0.152 h = 0.001 0.001 y[1] (numeric) = -2.36282479863 0.529563052353 y[1] (closed_form) = -2.36228434323 0.528715555058 memory used=722.9MB, alloc=44.3MB, time=8.96 absolute error = 0.001005 relative error = 0.04152 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.414 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=768.3MB, alloc=44.3MB, time=9.52 x[1] = 1.4118 0.153 h = 0.001 0.003 y[1] (numeric) = -2.35825696788 0.531323611119 y[1] (closed_form) = -2.35772278135 0.530470521411 absolute error = 0.001007 relative error = 0.04165 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.415 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=813.7MB, alloc=44.3MB, time=10.08 x[1] = 1.4128 0.156 h = 0.0001 0.004 y[1] (numeric) = -2.35089303278 0.539372454112 y[1] (closed_form) = -2.35034670304 0.538476058099 absolute error = 0.00105 relative error = 0.04354 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.416 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=859.0MB, alloc=44.3MB, time=10.64 x[1] = 1.4129 0.16 h = 0.003 0.006 y[1] (numeric) = -2.3448952255 0.551733664025 y[1] (closed_form) = -2.34429700185 0.550791769527 absolute error = 0.001116 relative error = 0.04634 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.417 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=904.4MB, alloc=44.3MB, time=11.20 x[1] = 1.4159 0.166 h = 0.0001 0.005 y[1] (numeric) = -2.32688895894 0.56599337281 y[1] (closed_form) = -2.32630850628 0.564854098137 absolute error = 0.001279 relative error = 0.05341 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.42 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=949.9MB, alloc=44.3MB, time=11.76 x[1] = 1.416 0.171 h = 0.0001 0.003 y[1] (numeric) = -2.31921173761 0.5810628265 y[1] (closed_form) = -2.31855634656 0.579857650496 absolute error = 0.001372 relative error = 0.0574 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.42 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=995.3MB, alloc=44.3MB, time=12.32 x[1] = 1.4161 0.174 h = 0.001 0.001 y[1] (numeric) = -2.3143853446 0.589953603454 y[1] (closed_form) = -2.31370701641 0.58872277869 absolute error = 0.001405 relative error = 0.05887 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.421 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=1040.7MB, alloc=44.3MB, time=12.88 x[1] = 1.4171 0.175 h = 0.001 0.003 y[1] (numeric) = -2.3098629615 0.591421897535 y[1] (closed_form) = -2.30919111098 0.590186270345 absolute error = 0.001406 relative error = 0.05901 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.422 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=1086.1MB, alloc=44.3MB, time=13.45 x[1] = 1.4181 0.178 h = 0.0001 0.004 y[1] (numeric) = -2.30230049047 0.598843513016 y[1] (closed_form) = -2.30162065177 0.597565634846 absolute error = 0.001447 relative error = 0.06087 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.423 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=1131.7MB, alloc=44.3MB, time=14.02 x[1] = 1.4182 0.182 h = 0.003 0.006 y[1] (numeric) = -2.29584177137 0.610518704237 y[1] (closed_form) = -2.29511631675 0.609193213968 absolute error = 0.001511 relative error = 0.06363 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.423 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=1177.2MB, alloc=44.3MB, time=14.58 x[1] = 1.4212 0.188 h = 0.0001 0.005 y[1] (numeric) = -2.277647959 0.623411700533 y[1] (closed_form) = -2.27695570106 0.621899614651 absolute error = 0.001663 relative error = 0.07046 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.426 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=1222.6MB, alloc=44.3MB, time=15.14 x[1] = 1.4213 0.193 h = 0.0001 0.003 y[1] (numeric) = -2.2694362457 0.637625360316 y[1] (closed_form) = -2.26867824296 0.636044505868 absolute error = 0.001753 relative error = 0.07441 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.427 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=1268.0MB, alloc=44.3MB, time=15.70 x[1] = 1.4214 0.196 h = 0.001 0.001 y[1] (numeric) = -2.26430804094 0.645994811647 y[1] (closed_form) = -2.26353038854 0.644387653294 absolute error = 0.001785 relative error = 0.07586 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.427 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=1313.5MB, alloc=44.3MB, time=16.26 x[1] = 1.4224 0.197 h = 0.0001 0.004 y[1] (numeric) = -2.25985262001 0.647188379156 y[1] (closed_form) = -2.25908155399 0.64557718183 absolute error = 0.001786 relative error = 0.07602 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.428 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=1358.9MB, alloc=44.3MB, time=16.82 x[1] = 1.4225 0.201 h = 0.003 0.006 y[1] (numeric) = -2.2530535028 0.658275494237 y[1] (closed_form) = -2.25223940731 0.656613399689 absolute error = 0.001851 relative error = 0.07889 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.428 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=1404.4MB, alloc=44.3MB, time=17.39 x[1] = 1.4255 0.207 h = 0.0001 0.005 y[1] (numeric) = -2.23477808541 0.67003248107 y[1] (closed_form) = -2.23400888664 0.668193686668 absolute error = 0.001993 relative error = 0.08548 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.432 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=1450.0MB, alloc=44.3MB, time=17.95 x[1] = 1.4256 0.212 h = 0.0001 0.003 y[1] (numeric) = -2.22617120286 0.683513087739 y[1] (closed_form) = -2.22534390829 0.681603889316 absolute error = 0.002081 relative error = 0.0894 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.432 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=1495.5MB, alloc=44.3MB, time=18.52 x[1] = 1.4257 0.215 h = 0.001 0.001 y[1] (numeric) = -2.22082176655 0.691437530293 y[1] (closed_form) = -2.21997753112 0.689501744582 absolute error = 0.002112 relative error = 0.09085 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.432 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=1541.1MB, alloc=44.3MB, time=19.08 x[1] = 1.4267 0.216 h = 0.001 0.003 y[1] (numeric) = -2.21643576623 0.692408445163 y[1] (closed_form) = -2.21559814796 0.690469247975 absolute error = 0.002112 relative error = 0.09102 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.434 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=1586.4MB, alloc=44.3MB, time=19.64 x[1] = 1.4277 0.219 h = 0.0001 0.004 y[1] (numeric) = -2.20865274161 0.698704305879 y[1] (closed_form) = -2.20781385688 0.696725718617 absolute error = 0.002149 relative error = 0.09283 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.435 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=1632.0MB, alloc=44.3MB, time=20.20 x[1] = 1.4278 0.223 h = 0.003 0.006 y[1] (numeric) = -2.2015299639 0.709100983425 y[1] (closed_form) = -2.20065657652 0.707072865875 absolute error = 0.002208 relative error = 0.09553 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.435 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=1677.5MB, alloc=44.3MB, time=20.76 x[1] = 1.4308 0.229 h = 0.0001 0.005 y[1] (numeric) = -2.18327757747 0.719591251131 y[1] (closed_form) = -2.18246056926 0.717398697472 absolute error = 0.00234 relative error = 0.1018 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.438 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=1723.1MB, alloc=44.3MB, time=21.32 x[1] = 1.4309 0.234 h = 0.0001 0.003 y[1] (numeric) = -2.17430551289 0.732220749301 y[1] (closed_form) = -2.17343892625 0.729956983012 absolute error = 0.002424 relative error = 0.1057 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.439 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=1768.7MB, alloc=44.3MB, time=21.89 x[1] = 1.431 0.237 h = 0.001 0.001 y[1] (numeric) = -2.16875490959 0.739630660625 y[1] (closed_form) = -2.16787436202 0.737340344435 absolute error = 0.002454 relative error = 0.1072 % Correct digits = 3 memory used=1814.3MB, alloc=44.3MB, time=22.45 Radius of convergence (given) for eq 1 = 3.439 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=1859.8MB, alloc=44.3MB, time=23.01 x[1] = 1.432 0.238 h = 0.001 0.003 y[1] (numeric) = -2.1644676049 0.740361895087 y[1] (closed_form) = -2.16359362781 0.738068855129 absolute error = 0.002454 relative error = 0.1073 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.44 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=1905.3MB, alloc=44.3MB, time=23.58 x[1] = 1.433 0.241 h = 0.0001 0.004 y[1] (numeric) = -2.15664383079 0.746082641888 y[1] (closed_form) = -2.15577161644 0.743752133885 absolute error = 0.002488 relative error = 0.1091 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.441 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=1950.8MB, alloc=44.3MB, time=24.14 x[1] = 1.4331 0.245 h = 0.003 0.006 y[1] (numeric) = -2.14926817518 0.755801027372 y[1] (closed_form) = -2.1483669914 0.753420946294 absolute error = 0.002545 relative error = 0.1118 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.442 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=1996.3MB, alloc=44.3MB, time=24.70 x[1] = 1.4361 0.251 h = 0.0001 0.005 y[1] (numeric) = -2.13113300303 0.765089948412 y[1] (closed_form) = -2.13029767845 0.762558007511 absolute error = 0.002666 relative error = 0.1178 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.445 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=2041.7MB, alloc=44.3MB, time=25.26 x[1] = 1.4362 0.256 h = 0.0001 0.003 y[1] (numeric) = -2.12187752414 0.776884020111 y[1] (closed_form) = -2.12100062151 0.774280959582 absolute error = 0.002747 relative error = 0.1217 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.446 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=2087.2MB, alloc=44.3MB, time=25.82 x[1] = 1.4363 0.259 h = 0.001 0.001 y[1] (numeric) = -2.11617401221 0.783790613797 y[1] (closed_form) = -2.11528591683 0.781161336237 absolute error = 0.002775 relative error = 0.1231 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.446 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=2132.7MB, alloc=44.3MB, time=26.39 x[1] = 1.4373 0.26 h = 0.001 0.003 y[1] (numeric) = -2.11199803468 0.784301638954 y[1] (closed_form) = -2.11111639723 0.781670274499 absolute error = 0.002775 relative error = 0.1233 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.447 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=2178.1MB, alloc=44.3MB, time=26.95 x[1] = 1.4383 0.263 h = 0.0001 0.004 y[1] (numeric) = -2.10417785342 0.789473533763 y[1] (closed_form) = -2.10330061168 0.786806783981 absolute error = 0.002807 relative error = 0.125 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.448 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=2223.6MB, alloc=44.3MB, time=27.51 x[1] = 1.4384 0.267 h = 0.003 0.006 y[1] (numeric) = -2.09661181712 0.798529709728 y[1] (closed_form) = -2.09571075706 0.795813883981 absolute error = 0.002861 relative error = 0.1276 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.449 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=2269.2MB, alloc=44.3MB, time=28.07 x[1] = 1.4414 0.273 h = 0.0001 0.005 y[1] (numeric) = -2.07867523386 0.806687355892 y[1] (closed_form) = -2.07784764593 0.80383229141 absolute error = 0.002973 relative error = 0.1334 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.452 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=2314.7MB, alloc=44.3MB, time=28.64 x[1] = 1.4415 0.278 h = 0.0001 0.003 y[1] (numeric) = -2.06921099405 0.817668485522 y[1] (closed_form) = -2.06834924939 0.814743154748 absolute error = 0.00305 relative error = 0.1372 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.453 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=2360.3MB, alloc=44.3MB, time=29.20 x[1] = 1.4416 0.281 h = 0.001 0.001 y[1] (numeric) = -2.0633984323 0.824086819409 y[1] (closed_form) = -2.06252803454 0.821135848552 absolute error = 0.003077 relative error = 0.1386 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.453 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=2405.8MB, alloc=44.3MB, time=29.77 x[1] = 1.4426 0.282 h = 0.001 0.003 y[1] (numeric) = -2.05934368462 0.824396963162 y[1] (closed_form) = -2.05847957811 0.821444487906 absolute error = 0.003076 relative error = 0.1388 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.454 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=2451.3MB, alloc=44.3MB, time=30.33 x[1] = 1.4436 0.285 h = 0.0001 0.004 y[1] (numeric) = -2.05156587719 0.829048668375 y[1] (closed_form) = -2.05070841907 0.826062990715 absolute error = 0.003106 relative error = 0.1405 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.455 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=2496.8MB, alloc=44.3MB, time=30.89 x[1] = 1.4437 0.289 h = 0.003 0.006 y[1] (numeric) = -2.04386610968 0.837463516065 y[1] (closed_form) = -2.04298957276 0.83442970718 absolute error = 0.003158 relative error = 0.1431 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.456 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=2542.4MB, alloc=44.3MB, time=31.46 x[1] = 1.4467 0.295 h = 0.0001 0.005 y[1] (numeric) = -2.02619724054 0.844562741963 y[1] (closed_form) = -2.0254000799 0.841402139456 absolute error = 0.00326 relative error = 0.1486 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.459 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=2587.9MB, alloc=44.3MB, time=32.02 x[1] = 1.4468 0.3 h = 0.0001 0.003 y[1] (numeric) = -2.0165916051 0.854758796033 y[1] (closed_form) = -2.01576709405 0.851529406133 absolute error = 0.003333 relative error = 0.1523 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.46 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=2633.4MB, alloc=44.3MB, time=32.59 x[1] = 1.4469 0.303 h = 0.001 0.001 y[1] (numeric) = -2.0107093926 0.860706927287 y[1] (closed_form) = -2.0098785317 0.857452670091 absolute error = 0.003359 relative error = 0.1537 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.46 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=2679.0MB, alloc=44.3MB, time=33.15 x[1] = 1.4479 0.304 h = 0.0001 0.004 y[1] (numeric) = -2.0067833043 0.860835072572 y[1] (closed_form) = -2.00595852488 0.857579837554 absolute error = 0.003358 relative error = 0.1539 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.461 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=2724.6MB, alloc=44.3MB, time=33.71 x[1] = 1.448 0.308 h = 0.003 0.006 y[1] (numeric) = -1.99900372075 0.868720505767 y[1] (closed_form) = -1.99816195832 0.865415940227 absolute error = 0.00341 relative error = 0.1566 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.462 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=2770.2MB, alloc=44.3MB, time=34.27 x[1] = 1.451 0.314 h = 0.0001 0.005 y[1] (numeric) = -1.98160044209 0.874963834136 y[1] (closed_form) = -1.98084204237 0.871542865036 absolute error = 0.003504 relative error = 0.1619 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.465 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=2815.6MB, alloc=44.3MB, time=34.84 x[1] = 1.4511 0.319 h = 0.0001 0.003 y[1] (numeric) = -1.97191267482 0.884510316532 y[1] (closed_form) = -1.97113230505 0.881022167315 absolute error = 0.003574 relative error = 0.1656 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.466 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=2861.1MB, alloc=44.3MB, time=35.40 x[1] = 1.4512 0.322 h = 0.001 0.001 y[1] (numeric) = -1.96599342781 0.890070171335 y[1] (closed_form) = -1.96520851241 0.886557919439 absolute error = 0.003599 relative error = 0.1669 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.466 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=2906.7MB, alloc=44.3MB, time=35.96 x[1] = 1.4522 0.323 h = 0.001 0.003 memory used=2952.2MB, alloc=44.3MB, time=36.52 y[1] (numeric) = -1.96218046932 0.890054652386 y[1] (closed_form) = -1.96140143341 0.886541834195 absolute error = 0.003598 relative error = 0.1672 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.467 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=2997.7MB, alloc=44.3MB, time=37.08 x[1] = 1.4532 0.326 h = 0.0001 0.004 y[1] (numeric) = -1.95456129067 0.89381811227 y[1] (closed_form) = -1.95379218922 0.890276231539 absolute error = 0.003624 relative error = 0.1688 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.469 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=3043.2MB, alloc=44.3MB, time=37.65 x[1] = 1.4533 0.33 h = 0.003 0.006 y[1] (numeric) = -1.94673648483 0.901107427369 y[1] (closed_form) = -1.94595601033 0.897520029805 absolute error = 0.003671 relative error = 0.1713 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.469 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=3088.7MB, alloc=44.3MB, time=38.21 x[1] = 1.4563 0.336 h = 0.0001 0.005 y[1] (numeric) = -1.92970052869 0.906429383894 y[1] (closed_form) = -1.92900659422 0.902737278857 absolute error = 0.003757 relative error = 0.1764 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.473 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=3134.2MB, alloc=44.3MB, time=38.78 x[1] = 1.4564 0.341 h = 0.0001 0.003 y[1] (numeric) = -1.91997799165 0.915252040104 y[1] (closed_form) = -1.91926772926 0.911495081479 absolute error = 0.003824 relative error = 0.18 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.473 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=3179.8MB, alloc=44.3MB, time=39.34 x[1] = 1.4565 0.344 h = 0.001 0.001 y[1] (numeric) = -1.91405107458 0.920380378178 y[1] (closed_form) = -1.91333813396 0.916600343041 absolute error = 0.003847 relative error = 0.1813 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.474 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=3225.4MB, alloc=44.3MB, time=39.91 x[1] = 1.4575 0.345 h = 0.001 0.003 y[1] (numeric) = -1.91037514214 0.920216019256 y[1] (closed_form) = -1.90966781636 0.916435841834 absolute error = 0.003846 relative error = 0.1816 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.475 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=3270.9MB, alloc=44.3MB, time=40.47 x[1] = 1.4585 0.348 h = 0.0001 0.004 y[1] (numeric) = -1.90288118716 0.923547171077 y[1] (closed_form) = -1.90218509748 0.919740146404 absolute error = 0.00387 relative error = 0.1832 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.476 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=3316.4MB, alloc=44.3MB, time=41.03 x[1] = 1.4586 0.352 h = 0.003 0.006 y[1] (numeric) = -1.89505304157 0.930271667571 y[1] (closed_form) = -1.89434910851 0.926420905524 absolute error = 0.003915 relative error = 0.1856 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.476 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=3361.9MB, alloc=44.3MB, time=41.60 x[1] = 1.4616 0.358 h = 0.0001 0.005 y[1] (numeric) = -1.87842309542 0.934745065895 y[1] (closed_form) = -1.87780766633 0.930800716725 absolute error = 0.003992 relative error = 0.1905 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.48 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=3407.4MB, alloc=44.3MB, time=42.16 x[1] = 1.4617 0.363 h = 0.0001 0.003 y[1] (numeric) = -1.86871305744 0.942880587604 y[1] (closed_form) = -1.86808632993 0.938874011194 absolute error = 0.004055 relative error = 0.194 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.481 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=3452.9MB, alloc=44.3MB, time=42.72 x[1] = 1.4618 0.366 h = 0.001 0.001 y[1] (numeric) = -1.86280574726 0.947600186266 y[1] (closed_form) = -1.86217798466 0.943571641819 absolute error = 0.004077 relative error = 0.1953 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.481 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=3498.4MB, alloc=44.3MB, time=43.28 x[1] = 1.4628 0.367 h = 0.001 0.003 y[1] (numeric) = -1.85926866591 0.94730351528 y[1] (closed_form) = -1.85864623627 0.943275199997 absolute error = 0.004076 relative error = 0.1956 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.482 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=3543.9MB, alloc=44.3MB, time=43.85 x[1] = 1.4638 0.37 h = 0.0001 0.004 y[1] (numeric) = -1.85191991412 0.95023341939 y[1] (closed_form) = -1.85130974644 0.946180416961 absolute error = 0.004099 relative error = 0.1971 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.484 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=3589.4MB, alloc=44.3MB, time=44.41 x[1] = 1.4639 0.374 h = 0.003 0.006 y[1] (numeric) = -1.84412335694 0.956423366582 y[1] (closed_form) = -1.84350847126 0.952328564246 absolute error = 0.004141 relative error = 0.1996 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.484 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=3634.9MB, alloc=44.3MB, time=44.98 x[1] = 1.4669 0.38 h = 0.0001 0.005 y[1] (numeric) = -1.82792934346 0.960118932313 y[1] (closed_form) = -1.8274038804 0.955941016674 absolute error = 0.004211 relative error = 0.2042 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.488 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=3680.5MB, alloc=44.3MB, time=45.54 x[1] = 1.467 0.385 h = 0.0001 0.003 y[1] (numeric) = -1.81827268672 0.967605197771 y[1] (closed_form) = -1.81774036841 0.963367891828 absolute error = 0.004271 relative error = 0.2076 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.488 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=3726.1MB, alloc=44.3MB, time=46.10 x[1] = 1.4671 0.388 h = 0.001 0.001 y[1] (numeric) = -1.81240845288 0.971939381735 y[1] (closed_form) = -1.81187653063 0.967681268318 absolute error = 0.004291 relative error = 0.2089 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.489 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=3771.6MB, alloc=44.3MB, time=46.66 x[1] = 1.4681 0.389 h = 0.001 0.003 y[1] (numeric) = -1.809010591 0.971525874795 y[1] (closed_form) = -1.80848370948 0.967268312394 absolute error = 0.00429 relative error = 0.2092 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.49 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=3817.1MB, alloc=44.3MB, time=47.23 x[1] = 1.4691 0.392 h = 0.0001 0.004 y[1] (numeric) = -1.80182309162 0.974084940247 y[1] (closed_form) = -1.80130925268 0.969804773492 absolute error = 0.004311 relative error = 0.2107 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.491 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=3862.6MB, alloc=44.3MB, time=47.79 x[1] = 1.4692 0.396 h = 0.003 0.006 y[1] (numeric) = -1.79408811357 0.979771194269 y[1] (closed_form) = -1.79357229919 0.975451268847 absolute error = 0.004351 relative error = 0.2131 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.492 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=3908.3MB, alloc=44.3MB, time=48.35 x[1] = 1.4722 0.402 h = 0.0001 0.005 y[1] (numeric) = -1.7783521917 0.982756886348 y[1] (closed_form) = -1.77792583141 0.978363631504 absolute error = 0.004414 relative error = 0.2175 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.495 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=3953.8MB, alloc=44.3MB, time=48.92 x[1] = 1.4723 0.407 h = 0.0001 0.003 y[1] (numeric) = -1.76878387333 0.989632227363 y[1] (closed_form) = -1.76835454836 0.985182553388 absolute error = 0.00447 relative error = 0.2208 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.496 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=3999.4MB, alloc=44.3MB, time=49.48 x[1] = 1.4724 0.41 h = 0.001 0.001 y[1] (numeric) = -1.76298266995 0.993604448948 y[1] (closed_form) = -1.7625549746 0.98913515468 absolute error = 0.00449 relative error = 0.2221 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.497 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=4045.1MB, alloc=44.3MB, time=50.04 x[1] = 1.4734 0.411 h = 0.0001 0.004 y[1] (numeric) = -1.75972317335 0.993088484947 y[1] (closed_form) = -1.75930022195 0.988620017398 absolute error = 0.004488 relative error = 0.2224 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.498 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=4090.6MB, alloc=44.3MB, time=50.60 memory used=4136.2MB, alloc=44.3MB, time=51.17 x[1] = 1.4735 0.415 h = 0.003 0.006 y[1] (numeric) = -1.75205712162 0.998366930688 y[1] (closed_form) = -1.75163340671 0.993858358709 absolute error = 0.004528 relative error = 0.2249 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.498 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=4181.7MB, alloc=44.3MB, time=51.73 x[1] = 1.4765 0.421 h = 0.0001 0.005 y[1] (numeric) = -1.73672062593 1.00078783907 y[1] (closed_form) = -1.7363858984 0.996213801717 absolute error = 0.004586 relative error = 0.2291 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.502 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=4227.2MB, alloc=44.3MB, time=52.30 x[1] = 1.4766 0.426 h = 0.0001 0.003 y[1] (numeric) = -1.7272455195 1.00716639418 y[1] (closed_form) = -1.72691079939 1.00253851529 absolute error = 0.00464 relative error = 0.2324 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.503 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=4272.8MB, alloc=44.3MB, time=52.86 x[1] = 1.4767 0.429 h = 0.001 0.001 y[1] (numeric) = -1.72150815573 1.01084466015 y[1] (closed_form) = -1.72117599502 1.00619817621 absolute error = 0.004658 relative error = 0.2337 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.503 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=4318.4MB, alloc=44.3MB, time=53.43 x[1] = 1.4777 0.43 h = 0.001 0.003 y[1] (numeric) = -1.71836529163 1.01024955407 y[1] (closed_form) = -1.718037622 1.00560410356 absolute error = 0.004657 relative error = 0.2339 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.504 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=4363.8MB, alloc=44.3MB, time=53.99 x[1] = 1.4787 0.433 h = 0.0001 0.004 y[1] (numeric) = -1.71150522563 1.01219378821 y[1] (closed_form) = -1.71119152127 1.00752934757 absolute error = 0.004675 relative error = 0.2354 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.506 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=4409.4MB, alloc=44.3MB, time=54.56 x[1] = 1.4788 0.437 h = 0.003 0.006 y[1] (numeric) = -1.70394424552 1.01702342551 y[1] (closed_form) = -1.70363276354 1.01232312629 absolute error = 0.004711 relative error = 0.2377 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.506 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=4454.8MB, alloc=44.3MB, time=55.12 x[1] = 1.4818 0.443 h = 0.0001 0.005 y[1] (numeric) = -1.68909040616 1.01885190351 y[1] (closed_form) = -1.68886666118 1.01409460421 absolute error = 0.004763 relative error = 0.2418 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.51 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=4500.4MB, alloc=44.3MB, time=55.68 x[1] = 1.4819 0.448 h = 0.0001 0.003 y[1] (numeric) = -1.67975506195 1.02468982497 y[1] (closed_form) = -1.6795342914 1.01988174846 absolute error = 0.004813 relative error = 0.245 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.511 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=4545.9MB, alloc=44.3MB, time=56.25 x[1] = 1.482 0.451 h = 0.001 0.001 y[1] (numeric) = -1.67410982681 1.02804883796 y[1] (closed_form) = -1.67389252364 1.02322334207 absolute error = 0.00483 relative error = 0.2462 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.511 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=4591.3MB, alloc=44.3MB, time=56.81 x[1] = 1.483 0.452 h = 0.001 0.003 y[1] (numeric) = -1.67110134049 1.0273751148 y[1] (closed_form) = -1.67088823464 1.02255085211 absolute error = 0.004829 relative error = 0.2465 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.512 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=4637.0MB, alloc=44.3MB, time=57.38 x[1] = 1.484 0.455 h = 0.0001 0.004 y[1] (numeric) = -1.66443075437 1.02902930238 y[1] (closed_form) = -1.66423185044 1.02418784004 absolute error = 0.004846 relative error = 0.248 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.514 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=4682.4MB, alloc=44.3MB, time=57.94 x[1] = 1.4841 0.459 h = 0.003 0.006 y[1] (numeric) = -1.65699379472 1.03344225705 y[1] (closed_form) = -1.65679890661 1.02856705076 absolute error = 0.004879 relative error = 0.2502 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.514 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=4728.0MB, alloc=44.3MB, time=58.50 x[1] = 1.4871 0.465 h = 0.0001 0.005 y[1] (numeric) = -1.64262768277 1.03473623023 y[1] (closed_form) = -1.64251877449 1.0298117835 absolute error = 0.004926 relative error = 0.2541 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.518 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=4773.6MB, alloc=44.3MB, time=59.07 x[1] = 1.4872 0.47 h = 0.0001 0.003 y[1] (numeric) = -1.63345285386 1.04007027884 y[1] (closed_form) = -1.63334945004 1.03509809856 absolute error = 0.004973 relative error = 0.2572 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.519 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=4819.1MB, alloc=44.3MB, time=59.63 x[1] = 1.4873 0.473 h = 0.001 0.001 y[1] (numeric) = -1.62791133927 1.04313223737 y[1] (closed_form) = -1.62781215907 1.03814379997 absolute error = 0.004989 relative error = 0.2584 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.519 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=4864.8MB, alloc=44.3MB, time=60.20 x[1] = 1.4883 0.474 h = 0.001 0.003 y[1] (numeric) = -1.62503397131 1.04239114559 y[1] (closed_form) = -1.62493870141 1.03740410583 absolute error = 0.004988 relative error = 0.2587 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.52 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=4910.4MB, alloc=44.3MB, time=60.77 x[1] = 1.4893 0.477 h = 0.0001 0.004 y[1] (numeric) = -1.61855753383 1.04378088465 y[1] (closed_form) = -1.61847656261 1.03877832058 absolute error = 0.005003 relative error = 0.2602 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.522 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=4955.9MB, alloc=44.3MB, time=61.33 x[1] = 1.4894 0.481 h = 0.003 0.006 y[1] (numeric) = -1.61125926903 1.04780622445 y[1] (closed_form) = -1.61118382987 1.04277199807 absolute error = 0.005035 relative error = 0.2623 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.522 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=5001.4MB, alloc=44.3MB, time=61.90 x[1] = 1.4924 0.487 h = 0.0001 0.005 y[1] (numeric) = -1.59738160785 1.04861974805 y[1] (closed_form) = -1.59738999057 1.04354335622 absolute error = 0.005076 relative error = 0.2661 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.526 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=5046.9MB, alloc=44.3MB, time=62.46 x[1] = 1.4925 0.492 h = 0.0001 0.003 y[1] (numeric) = -1.58838404157 1.05348542543 y[1] (closed_form) = -1.58840006389 1.04836428806 absolute error = 0.005121 relative error = 0.2691 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.527 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=5092.5MB, alloc=44.3MB, time=63.02 x[1] = 1.4926 0.495 h = 0.001 0.001 y[1] (numeric) = -1.58295549973 1.05627169565 y[1] (closed_form) = -1.58297636607 1.05113542925 absolute error = 0.005136 relative error = 0.2703 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.528 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=5138.0MB, alloc=44.3MB, time=63.58 x[1] = 1.4936 0.496 h = 0.001 0.003 y[1] (numeric) = -1.58020547295 1.05547344665 y[1] (closed_form) = -1.58022997171 1.05033871074 absolute error = 0.005135 relative error = 0.2706 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.529 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=5183.6MB, alloc=44.3MB, time=64.15 x[1] = 1.4946 0.499 h = 0.0001 0.004 y[1] (numeric) = -1.57392579895 1.05662278801 y[1] (closed_form) = -1.57396457549 1.0514740869 absolute error = 0.005149 relative error = 0.272 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.53 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=5229.3MB, alloc=44.3MB, time=64.72 memory used=5274.8MB, alloc=44.3MB, time=65.29 x[1] = 1.4947 0.503 h = 0.003 0.006 y[1] (numeric) = -1.56677790062 1.06028844817 y[1] (closed_form) = -1.56682347634 1.05511011358 absolute error = 0.005179 relative error = 0.2741 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.531 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=5320.3MB, alloc=44.3MB, time=65.86 x[1] = 1.4977 0.509 h = 0.0001 0.005 y[1] (numeric) = -1.55338578127 1.06067169735 y[1] (closed_form) = -1.55351271256 1.05545761681 absolute error = 0.005216 relative error = 0.2777 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.535 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=5365.8MB, alloc=44.3MB, time=66.43 x[1] = 1.4978 0.514 h = 0.0001 0.003 y[1] (numeric) = -1.54457868481 1.06510303085 y[1] (closed_form) = -1.54471503679 1.05984711009 absolute error = 0.005258 relative error = 0.2807 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.535 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=5411.3MB, alloc=44.3MB, time=67.00 x[1] = 1.4979 0.517 h = 0.001 0.001 y[1] (numeric) = -1.53927030776 1.06763403124 y[1] (closed_form) = -1.53941200357 1.06236406736 absolute error = 0.005272 relative error = 0.2819 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.536 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=5456.9MB, alloc=44.3MB, time=67.84 x[1] = 1.4989 0.518 h = 0.0001 0.004 y[1] (numeric) = -1.53664345817 1.06678785124 y[1] (closed_form) = -1.53678851948 1.06151952269 absolute error = 0.00527 relative error = 0.2822 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.537 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=5502.5MB, alloc=44.3MB, time=68.43 x[1] = 1.499 0.522 h = 0.003 0.006 y[1] (numeric) = -1.52962881713 1.07016522485 y[1] (closed_form) = -1.52978125119 1.06486709949 absolute error = 0.0053 relative error = 0.2844 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.538 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=5548.0MB, alloc=44.3MB, time=69.02 x[1] = 1.502 0.528 h = 0.0001 0.005 y[1] (numeric) = -1.51664562238 1.07020968582 y[1] (closed_form) = -1.51687716981 1.06488087464 absolute error = 0.005334 relative error = 0.2878 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.542 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=5593.4MB, alloc=44.3MB, time=69.62 x[1] = 1.5021 0.533 h = 0.0001 0.003 y[1] (numeric) = -1.50800601795 1.07429073734 y[1] (closed_form) = -1.50824829836 1.06892248872 absolute error = 0.005374 relative error = 0.2907 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.542 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=5639.0MB, alloc=44.3MB, time=70.22 x[1] = 1.5022 0.536 h = 0.001 0.001 y[1] (numeric) = -1.5028027241 1.07661606509 y[1] (closed_form) = -1.50305070512 1.07123466562 absolute error = 0.005387 relative error = 0.2919 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.543 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=5684.5MB, alloc=44.3MB, time=70.81 x[1] = 1.5032 0.537 h = 0.001 0.003 y[1] (numeric) = -1.50027791589 1.07573391183 y[1] (closed_form) = -1.50052904322 1.07035422106 absolute error = 0.005386 relative error = 0.2922 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.544 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=5730.3MB, alloc=44.3MB, time=71.40 x[1] = 1.5042 0.54 h = 0.0001 0.004 y[1] (numeric) = -1.49436330857 1.0764922139 y[1] (closed_form) = -1.49462844365 1.07110115776 absolute error = 0.005398 relative error = 0.2935 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.546 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=5775.7MB, alloc=44.3MB, time=71.99 x[1] = 1.5043 0.544 h = 0.003 0.006 y[1] (numeric) = -1.48751391658 1.07955651769 y[1] (closed_form) = -1.48778765857 1.07413940488 absolute error = 0.005424 relative error = 0.2956 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.546 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=5821.3MB, alloc=44.3MB, time=72.58 x[1] = 1.5073 0.55 h = 0.0001 0.005 y[1] (numeric) = -1.47500380878 1.079254095 y[1] (closed_form) = -1.47535382033 1.07381159304 absolute error = 0.005454 relative error = 0.2989 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.55 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=5866.9MB, alloc=44.3MB, time=73.20 x[1] = 1.5074 0.555 h = 0.0001 0.003 y[1] (numeric) = -1.46657165348 1.08295965417 y[1] (closed_form) = -1.46693362066 1.07748041993 absolute error = 0.005491 relative error = 0.3017 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.551 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=5912.4MB, alloc=44.3MB, time=73.81 x[1] = 1.5075 0.558 h = 0.001 0.001 y[1] (numeric) = -1.46149751325 1.0850649062 y[1] (closed_form) = -1.46186549321 1.07957351589 absolute error = 0.005504 relative error = 0.3029 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.552 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=5957.9MB, alloc=44.3MB, time=74.42 x[1] = 1.5085 0.559 h = 0.001 0.003 y[1] (numeric) = -1.45908756013 1.08414962687 y[1] (closed_form) = -1.45945844256 1.07866000661 absolute error = 0.005502 relative error = 0.3032 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.553 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=6003.6MB, alloc=44.3MB, time=75.03 x[1] = 1.5095 0.562 h = 0.0001 0.004 y[1] (numeric) = -1.45336873152 1.08472770923 y[1] (closed_form) = -1.45375336535 1.07922796298 absolute error = 0.005513 relative error = 0.3045 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.554 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=6049.2MB, alloc=44.3MB, time=75.64 x[1] = 1.5096 0.566 h = 0.003 0.006 y[1] (numeric) = -1.44668992508 1.08750489568 y[1] (closed_form) = -1.44708386223 1.08198090301 absolute error = 0.005538 relative error = 0.3065 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.555 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=6094.8MB, alloc=44.3MB, time=76.23 x[1] = 1.5126 0.572 h = 0.0001 0.005 y[1] (numeric) = -1.43464283777 1.08689518738 y[1] (closed_form) = -1.43511009026 1.08135055365 absolute error = 0.005564 relative error = 0.3097 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.559 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=6140.3MB, alloc=44.3MB, time=76.84 x[1] = 1.5127 0.577 h = 0.0001 0.003 y[1] (numeric) = -1.42642348112 1.09025445894 y[1] (closed_form) = -1.42690366253 1.08467567162 absolute error = 0.005599 relative error = 0.3124 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.56 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=6185.8MB, alloc=44.3MB, time=77.44 x[1] = 1.5128 0.58 h = 0.001 0.001 y[1] (numeric) = -1.42148114423 1.09215704038 y[1] (closed_form) = -1.42196756819 1.08656703802 absolute error = 0.005611 relative error = 0.3135 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.56 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=6231.4MB, alloc=44.3MB, time=78.05 x[1] = 1.5138 0.581 h = 0.001 0.003 y[1] (numeric) = -1.41918132638 1.09121537881 y[1] (closed_form) = -1.41967042242 1.08562718876 absolute error = 0.00561 relative error = 0.3139 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.562 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=6277.0MB, alloc=44.3MB, time=78.65 x[1] = 1.5148 0.584 h = 0.0001 0.004 y[1] (numeric) = -1.41365558597 1.09163133931 y[1] (closed_form) = -1.41415812432 1.08603415883 absolute error = 0.00562 relative error = 0.3152 % Correct digits = 3 Radius of convergence (given) for eq 1 = 3.563 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=6322.5MB, alloc=44.3MB, time=79.25 x[1] = 1.5149 0.588 h = 0.003 0.006 y[1] (numeric) = -1.40715058737 1.09414408262 y[1] (closed_form) = -1.40766297088 1.08852437527 absolute error = 0.005643 relative error = 0.3171 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.564 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=6368.0MB, alloc=44.3MB, time=79.83 x[1] = 1.5179 0.594 h = 0.0001 0.005 y[1] (numeric) = -1.39555489269 1.09326327755 y[1] (closed_form) = -1.39613757592 1.08762716951 absolute error = 0.005666 relative error = 0.3202 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.568 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=6413.5MB, alloc=44.3MB, time=80.41 memory used=6459.1MB, alloc=44.3MB, time=80.99 x[1] = 1.518 0.599 h = 0.0001 0.003 y[1] (numeric) = -1.3875516378 1.0963036921 y[1] (closed_form) = -1.38814800535 1.09063587643 absolute error = 0.005699 relative error = 0.3228 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.569 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=6504.5MB, alloc=44.3MB, time=81.57 x[1] = 1.5181 0.602 h = 0.001 0.001 y[1] (numeric) = -1.38274258064 1.09801991882 y[1] (closed_form) = -1.38334534936 1.09234177426 absolute error = 0.00571 relative error = 0.324 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.569 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=6550.0MB, alloc=44.3MB, time=82.15 x[1] = 1.5191 0.603 h = 0.001 0.003 y[1] (numeric) = -1.38054813458 1.09705787297 y[1] (closed_form) = -1.38115335861 1.09138156661 absolute error = 0.005708 relative error = 0.3243 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.57 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=6595.5MB, alloc=44.3MB, time=82.73 x[1] = 1.5201 0.606 h = 0.0001 0.004 y[1] (numeric) = -1.37521196587 1.0973283715 y[1] (closed_form) = -1.37583028227 1.09164411196 absolute error = 0.005718 relative error = 0.3256 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.572 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=6641.0MB, alloc=44.3MB, time=83.31 x[1] = 1.5202 0.61 h = 0.003 0.006 y[1] (numeric) = -1.36888250024 1.09959791591 y[1] (closed_form) = -1.36951106917 1.09389275573 absolute error = 0.00574 relative error = 0.3275 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.573 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=6686.6MB, alloc=44.3MB, time=83.90 x[1] = 1.5232 0.616 h = 0.0001 0.005 y[1] (numeric) = -1.35772538477 1.09847898688 y[1] (closed_form) = -1.35842121687 1.09276119929 absolute error = 0.00576 relative error = 0.3304 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.577 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=6732.2MB, alloc=44.3MB, time=84.47 x[1] = 1.5233 0.621 h = 0.0001 0.003 y[1] (numeric) = -1.34993979135 1.10122621629 y[1] (closed_form) = -1.35064987393 1.09547903122 absolute error = 0.005791 relative error = 0.333 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.578 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=6777.8MB, alloc=44.3MB, time=85.04 x[1] = 1.5234 0.624 h = 0.001 0.001 y[1] (numeric) = -1.34526449507 1.10277133066 y[1] (closed_form) = -1.34598107641 1.09701464798 absolute error = 0.005801 relative error = 0.3341 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.578 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=6823.2MB, alloc=44.3MB, time=85.61 x[1] = 1.5244 0.625 h = 0.0001 0.004 y[1] (numeric) = -1.34317066828 1.1017942155 y[1] (closed_form) = -1.34388950176 1.09603938285 absolute error = 0.0058 relative error = 0.3344 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.579 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=6868.8MB, alloc=44.3MB, time=86.19 x[1] = 1.5245 0.629 h = 0.003 0.006 y[1] (numeric) = -1.33699015962 1.10386979806 y[1] (closed_form) = -1.33771948481 1.09809385263 absolute error = 0.005822 relative error = 0.3364 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.58 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=6914.4MB, alloc=44.3MB, time=86.76 x[1] = 1.5275 0.635 h = 0.0001 0.005 y[1] (numeric) = -1.32619727207 1.10256499668 y[1] (closed_form) = -1.32699129335 1.09677936384 absolute error = 0.00584 relative error = 0.3392 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.584 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=6959.8MB, alloc=44.3MB, time=87.34 x[1] = 1.5276 0.64 h = 0.0001 0.003 y[1] (numeric) = -1.31859604352 1.10507651314 y[1] (closed_form) = -1.31940469617 1.09926335803 absolute error = 0.005869 relative error = 0.3418 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.585 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=7005.4MB, alloc=44.3MB, time=87.90 x[1] = 1.5277 0.643 h = 0.001 0.001 y[1] (numeric) = -1.3140338158 1.10648416056 y[1] (closed_form) = -1.31484901833 1.10066217966 absolute error = 0.005879 relative error = 0.3428 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.586 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=7050.9MB, alloc=44.3MB, time=88.47 x[1] = 1.5287 0.644 h = 0.001 0.003 y[1] (numeric) = -1.31202272916 1.10549673085 y[1] (closed_form) = -1.31284001961 1.09967660278 absolute error = 0.005877 relative error = 0.3432 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.587 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=7096.5MB, alloc=44.3MB, time=89.05 x[1] = 1.5297 0.647 h = 0.0001 0.004 y[1] (numeric) = -1.30702648728 1.10553414059 y[1] (closed_form) = -1.30785615384 1.09970775321 absolute error = 0.005885 relative error = 0.3444 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.589 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=7142.1MB, alloc=44.3MB, time=89.63 x[1] = 1.5298 0.651 h = 0.003 0.006 y[1] (numeric) = -1.30102167933 1.10740082201 y[1] (closed_form) = -1.30186207611 1.10155630831 absolute error = 0.005905 relative error = 0.3462 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.589 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=7187.6MB, alloc=44.3MB, time=90.20 x[1] = 1.5328 0.657 h = 0.0001 0.005 y[1] (numeric) = -1.29064174619 1.10591156266 y[1] (closed_form) = -1.29154384181 1.10006036912 absolute error = 0.00592 relative error = 0.349 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.593 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=7233.3MB, alloc=44.3MB, time=90.78 x[1] = 1.5329 0.662 h = 0.0001 0.003 y[1] (numeric) = -1.28325760138 1.10817314343 y[1] (closed_form) = -1.28417460745 1.10229648707 absolute error = 0.005948 relative error = 0.3514 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.594 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=7278.8MB, alloc=44.3MB, time=91.36 x[1] = 1.533 0.665 h = 0.001 0.001 y[1] (numeric) = -1.27882806166 1.10943530277 y[1] (closed_form) = -1.27975162443 1.10355055281 absolute error = 0.005957 relative error = 0.3525 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.595 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=7324.2MB, alloc=44.3MB, time=91.93 x[1] = 1.534 0.666 h = 0.001 0.003 y[1] (numeric) = -1.27690897082 1.10844113542 y[1] (closed_form) = -1.27783444279 1.10255822933 absolute error = 0.005955 relative error = 0.3529 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.596 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=7369.8MB, alloc=44.3MB, time=92.51 x[1] = 1.535 0.669 h = 0.0001 0.004 y[1] (numeric) = -1.27208925704 1.10837351801 y[1] (closed_form) = -1.27302668852 1.10248514213 absolute error = 0.005963 relative error = 0.3541 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.598 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=7415.4MB, alloc=44.3MB, time=93.09 x[1] = 1.5351 0.673 h = 0.003 0.006 y[1] (numeric) = -1.26625878683 1.11005018002 y[1] (closed_form) = -1.26720706413 1.10414503873 absolute error = 0.005981 relative error = 0.3558 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.599 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=7461.0MB, alloc=44.3MB, time=93.66 x[1] = 1.5381 0.679 h = 0.0001 0.005 y[1] (numeric) = -1.25627717829 1.10840137003 y[1] (closed_form) = -1.25728421439 1.1024921978 absolute error = 0.005994 relative error = 0.3585 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.603 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=7506.6MB, alloc=44.3MB, time=94.24 x[1] = 1.5382 0.684 h = 0.0001 0.003 y[1] (numeric) = -1.24910805667 1.11043393109 y[1] (closed_form) = -1.25013015995 1.10450122319 absolute error = 0.00602 relative error = 0.3609 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.604 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=7552.2MB, alloc=44.3MB, time=94.82 memory used=7597.8MB, alloc=44.3MB, time=95.39 x[1] = 1.5383 0.687 h = 0.001 0.001 y[1] (numeric) = -1.24480963807 1.11156296562 y[1] (closed_form) = -1.24583826718 1.1056228451 absolute error = 0.006029 relative error = 0.3619 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.604 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=7643.4MB, alloc=44.3MB, time=95.96 x[1] = 1.5393 0.688 h = 0.001 0.003 y[1] (numeric) = -1.24297802833 1.11056574404 y[1] (closed_form) = -1.24400840052 1.10462744987 absolute error = 0.006027 relative error = 0.3623 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.606 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=7689.1MB, alloc=44.3MB, time=96.54 x[1] = 1.5403 0.691 h = 0.0001 0.004 y[1] (numeric) = -1.23832952436 1.11040491505 y[1] (closed_form) = -1.23937143018 1.10446186562 absolute error = 0.006034 relative error = 0.3635 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.607 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=7734.5MB, alloc=44.3MB, time=97.11 x[1] = 1.5404 0.695 h = 0.003 0.006 y[1] (numeric) = -1.23267124265 1.11190763981 y[1] (closed_form) = -1.23372403566 1.10594909661 absolute error = 0.006051 relative error = 0.3652 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.608 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=7780.1MB, alloc=44.3MB, time=97.70 x[1] = 1.5434 0.701 h = 0.0001 0.005 y[1] (numeric) = -1.22307312969 1.11012175793 y[1] (closed_form) = -1.22418181543 1.10416150818 absolute error = 0.006062 relative error = 0.3677 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.612 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=7825.5MB, alloc=44.3MB, time=98.28 x[1] = 1.5435 0.706 h = 0.0001 0.003 y[1] (numeric) = -1.21611610663 1.11194467875 y[1] (closed_form) = -1.21723991252 1.10596269238 absolute error = 0.006087 relative error = 0.3701 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.613 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=7871.1MB, alloc=44.3MB, time=98.86 x[1] = 1.5436 0.709 h = 0.001 0.001 y[1] (numeric) = -1.21194676017 1.11295202796 y[1] (closed_form) = -1.21307702971 1.10696326085 absolute error = 0.006094 relative error = 0.3711 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.614 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=7916.6MB, alloc=44.3MB, time=99.43 x[1] = 1.5446 0.71 h = 0.001 0.003 y[1] (numeric) = -1.21019825185 1.11195496839 y[1] (closed_form) = -1.21133011042 1.10596800305 absolute error = 0.006093 relative error = 0.3715 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.615 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=7962.1MB, alloc=44.3MB, time=100.00 x[1] = 1.5456 0.713 h = 0.0001 0.004 y[1] (numeric) = -1.20571544391 1.11171168123 y[1] (closed_form) = -1.20685840608 1.10572060605 absolute error = 0.006099 relative error = 0.3726 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.617 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=8007.7MB, alloc=44.3MB, time=100.57 x[1] = 1.5457 0.717 h = 0.003 0.006 y[1] (numeric) = -1.20022658973 1.11305534856 y[1] (closed_form) = -1.20138041787 1.10704996527 absolute error = 0.006115 relative error = 0.3743 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.617 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=8053.3MB, alloc=44.3MB, time=101.14 x[1] = 1.5487 0.723 h = 0.0001 0.005 y[1] (numeric) = -1.19099710395 1.1111526404 y[1] (closed_form) = -1.19220404541 1.10514758234 absolute error = 0.006125 relative error = 0.3768 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.622 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=8098.9MB, alloc=44.3MB, time=101.71 x[1] = 1.5488 0.728 h = 0.0001 0.003 y[1] (numeric) = -1.18424855377 1.11278384414 y[1] (closed_form) = -1.18547058095 1.10675872542 absolute error = 0.006148 relative error = 0.3791 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.623 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=8144.4MB, alloc=44.3MB, time=102.29 x[1] = 1.5489 0.731 h = 0.001 0.001 y[1] (numeric) = -1.18020584267 1.1136800742 y[1] (closed_form) = -1.18143424557 1.10764875993 absolute error = 0.006155 relative error = 0.3801 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.623 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=8189.9MB, alloc=44.3MB, time=102.87 x[1] = 1.5499 0.732 h = 0.0001 0.004 y[1] (numeric) = -1.1785362066 1.11268597313 y[1] (closed_form) = -1.17976605594 1.10665643029 absolute error = 0.006154 relative error = 0.3804 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.625 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=8235.5MB, alloc=44.3MB, time=103.45 x[1] = 1.55 0.736 h = 0.003 0.006 y[1] (numeric) = -1.17318877596 1.11390305815 y[1] (closed_form) = -1.1744295942 1.1078589158 absolute error = 0.00617 relative error = 0.3822 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.625 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=8281.1MB, alloc=44.3MB, time=104.03 x[1] = 1.553 0.742 h = 0.0001 0.005 y[1] (numeric) = -1.16426365117 1.11191028259 y[1] (closed_form) = -1.16555528679 1.10586803417 absolute error = 0.006179 relative error = 0.3846 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.63 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=8326.6MB, alloc=44.3MB, time=104.61 x[1] = 1.5531 0.747 h = 0.0001 0.003 y[1] (numeric) = -1.15768919454 1.11338734995 y[1] (closed_form) = -1.15899584536 1.10732639076 absolute error = 0.0062 relative error = 0.3868 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.631 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=8372.3MB, alloc=44.3MB, time=105.19 x[1] = 1.5532 0.75 h = 0.001 0.001 y[1] (numeric) = -1.15375213221 1.11419430144 y[1] (closed_form) = -1.15506507243 1.10812761629 absolute error = 0.006207 relative error = 0.3878 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.631 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=8417.8MB, alloc=44.3MB, time=106.03 x[1] = 1.5542 0.751 h = 0.001 0.003 y[1] (numeric) = -1.1521471966 1.11320382405 y[1] (closed_form) = -1.15346146883 1.10713888199 absolute error = 0.006206 relative error = 0.3881 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.633 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=8463.3MB, alloc=44.3MB, time=107.09 x[1] = 1.5552 0.754 h = 0.0001 0.004 y[1] (numeric) = -1.14795695481 1.11283059551 y[1] (closed_form) = -1.14928153951 1.10676258473 absolute error = 0.006211 relative error = 0.3893 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.634 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=8508.9MB, alloc=44.3MB, time=108.01 x[1] = 1.5553 0.758 h = 0.0001 0.004 y[1] (numeric) = -1.14277288403 1.1139121381 y[1] (closed_form) = -1.14410817449 1.10783181131 absolute error = 0.006225 relative error = 0.3909 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.635 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=8554.3MB, alloc=44.3MB, time=108.59 x[1] = 1.5554 0.762 h = 0.003 0.006 y[1] (numeric) = -1.13761151972 1.11496504674 y[1] (closed_form) = -1.13895796944 1.10887325536 absolute error = 0.006239 relative error = 0.3925 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.636 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=8599.8MB, alloc=44.3MB, time=109.18 x[1] = 1.5584 0.768 h = 0.0001 0.005 y[1] (numeric) = -1.12908269549 1.11286263735 y[1] (closed_form) = -1.13047697793 1.10677464443 absolute error = 0.006246 relative error = 0.3948 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.64 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=8645.5MB, alloc=44.3MB, time=109.76 x[1] = 1.5585 0.773 h = 0.0001 0.003 y[1] (numeric) = -1.12273727415 1.11414396228 y[1] (closed_form) = -1.12414642855 1.10803897076 absolute error = 0.006266 relative error = 0.3969 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.641 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=8691.0MB, alloc=44.3MB, time=110.34 memory used=8736.7MB, alloc=44.3MB, time=110.93 x[1] = 1.5586 0.776 h = 0.001 0.001 y[1] (numeric) = -1.11893907879 1.11483760201 y[1] (closed_form) = -1.12035439353 1.10872747795 absolute error = 0.006272 relative error = 0.3979 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.642 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=8782.2MB, alloc=44.3MB, time=111.52 x[1] = 1.5596 0.777 h = 0.001 0.003 y[1] (numeric) = -1.11741789028 1.11385324815 y[1] (closed_form) = -1.11883439233 1.10774482627 absolute error = 0.006271 relative error = 0.3983 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.643 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=8827.7MB, alloc=44.3MB, time=112.10 x[1] = 1.5606 0.78 h = 0.0001 0.004 y[1] (numeric) = -1.11340059234 1.11340875388 y[1] (closed_form) = -1.11482692973 1.10729783395 absolute error = 0.006275 relative error = 0.3994 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.645 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=8873.2MB, alloc=44.3MB, time=112.69 x[1] = 1.5607 0.784 h = 0.003 0.006 y[1] (numeric) = -1.10839867816 1.11434195436 y[1] (closed_form) = -1.10983557715 1.10821984557 absolute error = 0.006288 relative error = 0.4009 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.646 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=8918.7MB, alloc=44.3MB, time=113.28 x[1] = 1.5637 0.79 h = 0.0001 0.005 y[1] (numeric) = -1.10019501836 1.11217302952 y[1] (closed_form) = -1.10167726892 1.10605602894 absolute error = 0.006294 relative error = 0.4032 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.65 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=8964.2MB, alloc=44.3MB, time=113.87 x[1] = 1.5638 0.795 h = 0.0001 0.003 y[1] (numeric) = -1.09404478916 1.11330920739 y[1] (closed_form) = -1.09554168774 1.10717654863 absolute error = 0.006313 relative error = 0.4053 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.651 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=9009.8MB, alloc=44.3MB, time=114.45 x[1] = 1.5639 0.798 h = 0.001 0.001 y[1] (numeric) = -1.09036462875 1.11391912947 y[1] (closed_form) = -1.0918675468 1.10778179776 absolute error = 0.006319 relative error = 0.4062 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.652 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=9055.3MB, alloc=44.3MB, time=115.04 x[1] = 1.5649 0.799 h = 0.001 0.003 y[1] (numeric) = -1.08891057367 1.11294425718 y[1] (closed_form) = -1.0904145673 1.10680858569 absolute error = 0.006317 relative error = 0.4066 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.653 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=9100.9MB, alloc=44.3MB, time=115.69 x[1] = 1.5659 0.802 h = 0.0001 0.004 y[1] (numeric) = -1.08503647618 1.11245173449 y[1] (closed_form) = -1.08654989192 1.10631398521 absolute error = 0.006322 relative error = 0.4077 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.655 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=9146.4MB, alloc=44.3MB, time=116.34 x[1] = 1.566 0.806 h = 0.003 0.006 y[1] (numeric) = -1.08018936264 1.1132752749 y[1] (closed_form) = -1.08171315408 1.10712721742 absolute error = 0.006334 relative error = 0.4092 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.656 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=9191.9MB, alloc=44.3MB, time=116.92 x[1] = 1.569 0.812 h = 0.0001 0.005 y[1] (numeric) = -1.07229684864 1.11105284072 y[1] (closed_form) = -1.07386361996 1.10491101356 absolute error = 0.006339 relative error = 0.4114 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.66 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=9237.4MB, alloc=44.3MB, time=117.49 x[1] = 1.5691 0.817 h = 0.0001 0.003 y[1] (numeric) = -1.06633654773 1.11205677575 y[1] (closed_form) = -1.06791770365 1.10590053154 absolute error = 0.006356 relative error = 0.4134 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.661 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=9283.0MB, alloc=44.3MB, time=118.07 x[1] = 1.5692 0.82 h = 0.001 0.001 y[1] (numeric) = -1.0627711053 1.11259055143 y[1] (closed_form) = -1.06435813006 1.10643005729 absolute error = 0.006362 relative error = 0.4144 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.662 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=9328.6MB, alloc=44.3MB, time=118.65 x[1] = 1.5702 0.821 h = 0.001 0.003 y[1] (numeric) = -1.06138062154 1.11162666189 y[1] (closed_form) = -1.0629686191 1.105467784 absolute error = 0.00636 relative error = 0.4147 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.663 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=9374.1MB, alloc=44.3MB, time=119.23 x[1] = 1.5712 0.824 h = 0.0001 0.004 y[1] (numeric) = -1.05764413116 1.11109264406 y[1] (closed_form) = -1.05924114815 1.10493206467 absolute error = 0.006364 relative error = 0.4158 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.665 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=9419.8MB, alloc=44.3MB, time=119.81 x[1] = 1.5713 0.828 h = 0.003 0.006 y[1] (numeric) = -1.0529474573 1.1118163785 y[1] (closed_form) = -1.05455464136 1.10564630606 absolute error = 0.006376 relative error = 0.4173 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.666 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=9465.3MB, alloc=44.3MB, time=120.39 x[1] = 1.5743 0.834 h = 0.0001 0.005 y[1] (numeric) = -1.04535247154 1.10955203675 y[1] (closed_form) = -1.0470003737 1.1033891497 absolute error = 0.006379 relative error = 0.4194 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.67 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=9510.9MB, alloc=44.3MB, time=120.97 x[1] = 1.5744 0.839 h = 0.0001 0.003 y[1] (numeric) = -1.03957667114 1.1104355872 y[1] (closed_form) = -1.04123866315 1.10425943115 absolute error = 0.006396 relative error = 0.4214 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.672 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=9556.5MB, alloc=44.3MB, time=121.55 x[1] = 1.5745 0.842 h = 0.001 0.001 y[1] (numeric) = -1.03612255046 1.11090016665 y[1] (closed_form) = -1.0377902535 1.10472014964 absolute error = 0.006401 relative error = 0.4223 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.672 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=9602.1MB, alloc=44.3MB, time=122.13 x[1] = 1.5755 0.843 h = 0.001 0.003 y[1] (numeric) = -1.03479224897 1.10994852554 y[1] (closed_form) = -1.03646083041 1.10377007941 absolute error = 0.0064 relative error = 0.4227 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.674 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=9647.7MB, alloc=44.3MB, time=122.70 x[1] = 1.5765 0.846 h = 0.0001 0.004 y[1] (numeric) = -1.03118788216 1.10937890569 y[1] (closed_form) = -1.03286509214 1.10319909447 absolute error = 0.006403 relative error = 0.4237 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.675 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=9693.2MB, alloc=44.3MB, time=123.28 x[1] = 1.5766 0.85 h = 0.003 0.006 y[1] (numeric) = -1.02663718954 1.11001188227 y[1] (closed_form) = -1.02832434024 1.10382333182 absolute error = 0.006414 relative error = 0.4252 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.676 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=9738.9MB, alloc=44.3MB, time=123.86 x[1] = 1.5796 0.856 h = 0.0001 0.005 y[1] (numeric) = -1.0193265508 1.10771596283 y[1] (closed_form) = -1.0210522669 1.1015354045 absolute error = 0.006417 relative error = 0.4272 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.681 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=9784.5MB, alloc=44.3MB, time=124.44 x[1] = 1.5797 0.861 h = 0.0001 0.003 y[1] (numeric) = -1.01372972227 1.10849001709 y[1] (closed_form) = -1.01546920909 1.10229725083 absolute error = 0.006432 relative error = 0.4292 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.682 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=9829.9MB, alloc=44.3MB, time=125.01 x[1] = 1.5798 0.864 h = 0.001 0.001 y[1] (numeric) = -1.01038348356 1.10889177545 y[1] (closed_form) = -1.01212851869 1.10269550557 absolute error = 0.006437 relative error = 0.4301 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.683 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=9875.5MB, alloc=44.3MB, time=125.59 memory used=9921.2MB, alloc=44.3MB, time=126.17 x[1] = 1.5808 0.865 h = 0.0001 0.004 y[1] (numeric) = -1.00911014562 1.10795343997 y[1] (closed_form) = -1.0108559725 1.10175869469 absolute error = 0.006436 relative error = 0.4304 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.684 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=9966.8MB, alloc=44.3MB, time=126.74 x[1] = 1.5809 0.869 h = 0.003 0.006 y[1] (numeric) = -1.00468028725 1.10851425622 y[1] (closed_form) = -1.00643611958 1.10231042494 absolute error = 0.006448 relative error = 0.432 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.685 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=10012.3MB, alloc=44.3MB, time=127.32 x[1] = 1.5839 0.875 h = 0.0001 0.005 y[1] (numeric) = -0.9976039712 1.10619536437 y[1] (closed_form) = -0.999396609456 1.10000013761 absolute error = 0.006449 relative error = 0.434 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.689 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=10057.7MB, alloc=44.3MB, time=127.90 x[1] = 1.584 0.88 h = 0.0001 0.003 y[1] (numeric) = -0.992155586141 1.10688115851 y[1] (closed_form) = -0.993961716868 1.1006745761 absolute error = 0.006464 relative error = 0.4359 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.69 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=10103.4MB, alloc=44.3MB, time=128.48 x[1] = 1.5841 0.883 h = 0.001 0.001 y[1] (numeric) = -0.988898788206 1.1072323116 y[1] (closed_form) = -0.990710328449 1.10102251157 absolute error = 0.006469 relative error = 0.4367 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.691 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=10149.0MB, alloc=44.3MB, time=129.07 x[1] = 1.5851 0.884 h = 0.001 0.003 y[1] (numeric) = -0.987672204488 1.10630550503 y[1] (closed_form) = -0.989484467123 1.10009719031 absolute error = 0.006467 relative error = 0.4371 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.692 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=10194.6MB, alloc=44.3MB, time=129.65 x[1] = 1.5861 0.887 h = 0.0001 0.004 y[1] (numeric) = -0.984299270739 1.10568193589 y[1] (closed_form) = -0.986119471938 1.09947279275 absolute error = 0.00647 relative error = 0.4381 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.694 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=10240.3MB, alloc=44.3MB, time=130.22 x[1] = 1.5862 0.891 h = 0.003 0.006 y[1] (numeric) = -0.98000733881 1.10616598919 y[1] (closed_form) = -0.981837033986 1.09994936329 absolute error = 0.00648 relative error = 0.4395 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.695 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=10285.7MB, alloc=44.3MB, time=130.79 x[1] = 1.5892 0.897 h = 0.0001 0.005 y[1] (numeric) = -0.973192173775 1.10383190936 y[1] (closed_form) = -0.975056718515 1.09762446096 absolute error = 0.006481 relative error = 0.4415 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.7 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=10331.3MB, alloc=44.3MB, time=131.36 x[1] = 1.5893 0.902 h = 0.0001 0.003 y[1] (numeric) = -0.967912484661 1.10442619815 y[1] (closed_form) = -0.969790171786 1.09820830895 absolute error = 0.006495 relative error = 0.4433 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.701 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=10376.9MB, alloc=44.3MB, time=131.93 x[1] = 1.5894 0.905 h = 0.001 0.001 y[1] (numeric) = -0.96475721236 1.10472505074 y[1] (closed_form) = -0.96664014156 1.09850424845 absolute error = 0.0065 relative error = 0.4442 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.702 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=10422.5MB, alloc=44.3MB, time=132.53 x[1] = 1.5904 0.906 h = 0.001 0.003 y[1] (numeric) = -0.963582049683 1.10381307722 y[1] (closed_form) = -0.965465627587 1.09759371334 absolute error = 0.006498 relative error = 0.4445 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.703 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=10467.9MB, alloc=44.3MB, time=133.09 x[1] = 1.5914 0.909 h = 0.0001 0.004 y[1] (numeric) = -0.96032637815 1.10316777632 y[1] (closed_form) = -0.962217541223 1.09694782576 absolute error = 0.006501 relative error = 0.4455 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.705 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=10513.5MB, alloc=44.3MB, time=133.66 x[1] = 1.5915 0.913 h = 0.003 0.006 y[1] (numeric) = -0.956167592026 1.10358308046 y[1] (closed_form) = -0.958067992969 1.09735624774 absolute error = 0.00651 relative error = 0.4469 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.706 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=10559.0MB, alloc=44.3MB, time=134.23 x[1] = 1.5945 0.919 h = 0.0001 0.005 y[1] (numeric) = -0.949601739873 1.10124113622 y[1] (closed_form) = -0.951535136333 1.09502394944 absolute error = 0.006511 relative error = 0.4488 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.71 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=10604.6MB, alloc=44.3MB, time=134.80 x[1] = 1.5946 0.924 h = 0.0001 0.003 y[1] (numeric) = -0.944485182853 1.10175241897 y[1] (closed_form) = -0.946431362141 1.09552563544 absolute error = 0.006524 relative error = 0.4506 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.711 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=10650.2MB, alloc=44.3MB, time=135.37 x[1] = 1.5947 0.927 h = 0.001 0.001 y[1] (numeric) = -0.941428014302 1.10200393295 y[1] (closed_form) = -0.943379267923 1.09577451547 absolute error = 0.006528 relative error = 0.4515 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.712 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=10695.8MB, alloc=44.3MB, time=135.94 x[1] = 1.5957 0.928 h = 0.001 0.003 y[1] (numeric) = -0.940301514591 1.10110737717 y[1] (closed_form) = -0.942253349455 1.09487935141 absolute error = 0.006527 relative error = 0.4518 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.714 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=10741.3MB, alloc=44.3MB, time=136.50 x[1] = 1.5967 0.931 h = 0.0001 0.004 y[1] (numeric) = -0.937158198431 1.10044425634 y[1] (closed_form) = -0.939117278987 1.09421585854 absolute error = 0.006529 relative error = 0.4528 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.715 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=10786.8MB, alloc=44.3MB, time=137.07 x[1] = 1.5968 0.935 h = 0.003 0.006 y[1] (numeric) = -0.933128080473 1.10079727919 y[1] (closed_form) = -0.935096138416 1.09456255337 absolute error = 0.006538 relative error = 0.4541 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.716 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=10832.4MB, alloc=44.3MB, time=137.63 x[1] = 1.5998 0.941 h = 0.0001 0.005 y[1] (numeric) = -0.926800190869 1.09845393802 y[1] (closed_form) = -0.928799489155 1.09222923451 absolute error = 0.006538 relative error = 0.456 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.721 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=10878.0MB, alloc=44.3MB, time=138.20 x[1] = 1.5999 0.946 h = 0.0001 0.003 y[1] (numeric) = -0.921841260896 1.09889000107 y[1] (closed_form) = -0.923852976716 1.09265647914 absolute error = 0.00655 relative error = 0.4578 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.722 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=10923.7MB, alloc=44.3MB, time=138.76 x[1] = 1.6 0.949 h = 0.001 0.001 y[1] (numeric) = -0.918878820243 1.09909871753 y[1] (closed_form) = -0.920895443464 1.09286281739 absolute error = 0.006554 relative error = 0.4586 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.723 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=10969.4MB, alloc=44.3MB, time=139.33 x[1] = 1.601 0.95 h = 0.001 0.003 y[1] (numeric) = -0.917798376316 1.09821803656 y[1] (closed_form) = -0.919815519065 1.09198348187 absolute error = 0.006553 relative error = 0.459 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.724 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=11015.0MB, alloc=44.3MB, time=139.90 x[1] = 1.602 0.953 h = 0.0001 0.004 y[1] (numeric) = -0.914762681597 1.09754060359 y[1] (closed_form) = -0.916786744522 1.09130586712 absolute error = 0.006555 relative error = 0.4599 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.726 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=11060.6MB, alloc=44.3MB, time=140.46 memory used=11106.2MB, alloc=44.3MB, time=141.03 x[1] = 1.6021 0.957 h = 0.003 0.006 y[1] (numeric) = -0.910856816266 1.0978372669 y[1] (closed_form) = -0.91288959398 1.09159671346 absolute error = 0.006563 relative error = 0.4612 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.727 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=11151.8MB, alloc=44.3MB, time=141.60 x[1] = 1.6051 0.963 h = 0.0001 0.005 y[1] (numeric) = -0.904756024631 1.09549822595 y[1] (closed_form) = -0.906818382642 1.08926799019 absolute error = 0.006563 relative error = 0.463 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.732 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=11197.3MB, alloc=44.3MB, time=142.17 x[1] = 1.6052 0.968 h = 0.0001 0.003 y[1] (numeric) = -0.899949300181 1.09586619941 y[1] (closed_form) = -0.902023707822 1.08962786275 absolute error = 0.006574 relative error = 0.4648 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.733 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=11242.8MB, alloc=44.3MB, time=142.73 x[1] = 1.6053 0.971 h = 0.001 0.001 y[1] (numeric) = -0.8970782712 1.0960362726 y[1] (closed_form) = -0.899157421041 1.08979579191 absolute error = 0.006578 relative error = 0.4656 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.734 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=11288.4MB, alloc=44.3MB, time=143.30 x[1] = 1.6063 0.972 h = 0.0001 0.004 y[1] (numeric) = -0.89604142045 1.09517181164 y[1] (closed_form) = -0.898121033398 1.08893263079 absolute error = 0.006577 relative error = 0.4659 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.735 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=11333.9MB, alloc=44.3MB, time=143.86 x[1] = 1.6064 0.976 h = 0.003 0.006 y[1] (numeric) = -0.89223815349 1.09542367484 y[1] (closed_form) = -0.89432655427 1.08917832311 absolute error = 0.006585 relative error = 0.4673 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.736 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=11379.4MB, alloc=44.3MB, time=144.43 x[1] = 1.6094 0.982 h = 0.0001 0.005 y[1] (numeric) = -0.8863246375 1.09308982881 y[1] (closed_form) = -0.888441265224 1.08685501005 absolute error = 0.006584 relative error = 0.469 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.741 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=11424.9MB, alloc=44.3MB, time=145.00 x[1] = 1.6095 0.987 h = 0.0001 0.003 y[1] (numeric) = -0.881643956837 1.09340271347 y[1] (closed_form) = -0.88377232508 1.08716037057 absolute error = 0.006595 relative error = 0.4707 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.742 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=11470.5MB, alloc=44.3MB, time=145.56 x[1] = 1.6096 0.99 h = 0.001 0.001 y[1] (numeric) = -0.878848610393 1.09354154187 y[1] (closed_form) = -0.88098158306 1.08729724245 absolute error = 0.006599 relative error = 0.4715 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.743 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=11516.2MB, alloc=44.3MB, time=146.14 x[1] = 1.6106 0.991 h = 0.001 0.003 y[1] (numeric) = -0.877847613822 1.09269076209 y[1] (closed_form) = -0.87998100442 1.08644772451 absolute error = 0.006597 relative error = 0.4719 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.744 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=11561.7MB, alloc=44.3MB, time=146.72 x[1] = 1.6116 0.994 h = 0.0001 0.004 y[1] (numeric) = -0.875000093694 1.09199364756 y[1] (closed_form) = -0.87713983723 1.08575072875 absolute error = 0.006599 relative error = 0.4728 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.746 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=11607.2MB, alloc=44.3MB, time=147.28 x[1] = 1.6117 0.998 h = 0.003 0.006 y[1] (numeric) = -0.871313435896 1.09219814999 y[1] (closed_form) = -0.873461411204 1.08595026454 absolute error = 0.006607 relative error = 0.4741 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.747 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=11652.7MB, alloc=44.3MB, time=147.85 x[1] = 1.6147 1.004 h = 0.0001 0.005 y[1] (numeric) = -0.865608121181 1.08987753226 y[1] (closed_form) = -0.867782829121 1.08364034898 absolute error = 0.006605 relative error = 0.4758 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.752 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=11698.3MB, alloc=44.3MB, time=148.41 x[1] = 1.6148 1.009 h = 0.0001 0.003 y[1] (numeric) = -0.86106991358 1.0901340879 y[1] (closed_form) = -0.863255995299 1.0838899967 absolute error = 0.006616 relative error = 0.4774 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.753 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=11743.9MB, alloc=44.3MB, time=148.98 x[1] = 1.6149 1.012 h = 0.001 0.001 y[1] (numeric) = -0.858360041894 1.09024111707 y[1] (closed_form) = -0.860550567702 1.08399526781 absolute error = 0.006619 relative error = 0.4782 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.754 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=11789.6MB, alloc=44.3MB, time=149.54 x[1] = 1.6159 1.013 h = 0.001 0.003 y[1] (numeric) = -0.857398420253 1.08940697471 y[1] (closed_form) = -0.85958931634 1.08316234326 absolute error = 0.006618 relative error = 0.4786 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.755 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=11835.2MB, alloc=44.3MB, time=150.11 x[1] = 1.6169 1.016 h = 0.0001 0.004 y[1] (numeric) = -0.854645982635 1.08870372544 y[1] (closed_form) = -0.85684294506 1.08245934556 absolute error = 0.00662 relative error = 0.4795 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.757 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=11880.8MB, alloc=44.3MB, time=150.68 x[1] = 1.617 1.02 h = 0.003 0.006 y[1] (numeric) = -0.851071480765 1.08886622215 y[1] (closed_form) = -0.853276415273 1.08261728047 absolute error = 0.006627 relative error = 0.4807 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.758 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=11926.3MB, alloc=44.3MB, time=151.25 x[1] = 1.62 1.026 h = 0.0001 0.005 y[1] (numeric) = -0.845564842843 1.08656272601 y[1] (closed_form) = -0.847795099381 1.08032460037 absolute error = 0.006625 relative error = 0.4824 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.763 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=11971.8MB, alloc=44.3MB, time=151.81 x[1] = 1.6201 1.031 h = 0.0001 0.003 y[1] (numeric) = -0.841164014993 1.08676848283 y[1] (closed_form) = -0.843405282347 1.0805240169 absolute error = 0.006635 relative error = 0.484 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.764 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=12017.4MB, alloc=44.3MB, time=152.38 x[1] = 1.6202 1.034 h = 0.001 0.001 y[1] (numeric) = -0.838536520405 1.08684692544 y[1] (closed_form) = -0.840782075007 1.08060088293 absolute error = 0.006637 relative error = 0.4848 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.765 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=12063.1MB, alloc=44.3MB, time=152.94 x[1] = 1.6212 1.035 h = 0.001 0.003 y[1] (numeric) = -0.837612187815 1.08602951692 y[1] (closed_form) = -0.839858069212 1.07978464926 absolute error = 0.006636 relative error = 0.4851 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.766 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=12108.6MB, alloc=44.3MB, time=153.51 x[1] = 1.6222 1.038 h = 0.0001 0.004 y[1] (numeric) = -0.834950776225 1.0853224046 y[1] (closed_form) = -0.837202450505 1.07907790503 absolute error = 0.006638 relative error = 0.486 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.768 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=12154.3MB, alloc=44.3MB, time=154.07 x[1] = 1.6223 1.042 h = 0.003 0.006 y[1] (numeric) = -0.831484381946 1.08544709226 y[1] (closed_form) = -0.8337437722 1.07919840395 absolute error = 0.006645 relative error = 0.4872 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.769 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=12199.9MB, alloc=44.3MB, time=154.64 x[1] = 1.6253 1.048 h = 0.0001 0.005 y[1] (numeric) = -0.826167344865 1.08316410317 y[1] (closed_form) = -0.828450726162 1.07692629653 absolute error = 0.006643 relative error = 0.4889 % Correct digits = 2 memory used=12245.5MB, alloc=44.3MB, time=155.20 Radius of convergence (given) for eq 1 = 3.774 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=12291.1MB, alloc=44.3MB, time=155.77 x[1] = 1.6254 1.053 h = 0.0001 0.003 y[1] (numeric) = -0.821898942579 1.08332411866 y[1] (closed_form) = -0.824192976997 1.07708049455 absolute error = 0.006652 relative error = 0.4905 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.775 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=12336.6MB, alloc=44.3MB, time=156.34 x[1] = 1.6255 1.056 h = 0.001 0.001 y[1] (numeric) = -0.819350816798 1.08337690969 y[1] (closed_form) = -0.821648985493 1.07713187487 absolute error = 0.006654 relative error = 0.4912 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.776 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=12382.2MB, alloc=44.3MB, time=156.90 x[1] = 1.6265 1.057 h = 0.001 0.003 y[1] (numeric) = -0.81846180691 1.08257626605 y[1] (closed_form) = -0.820760262746 1.07633236425 absolute error = 0.006654 relative error = 0.4916 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.777 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=12427.8MB, alloc=44.3MB, time=157.47 x[1] = 1.6275 1.06 h = 0.0001 0.004 y[1] (numeric) = -0.81588753742 1.0818673132 y[1] (closed_form) = -0.818191525447 1.07562388141 absolute error = 0.006655 relative error = 0.4924 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.779 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=12473.4MB, alloc=44.3MB, time=158.04 x[1] = 1.6276 1.064 h = 0.003 0.006 y[1] (numeric) = -0.812525319454 1.08195802772 y[1] (closed_form) = -0.814836771802 1.07571075089 absolute error = 0.006661 relative error = 0.4936 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.78 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=12519.0MB, alloc=44.3MB, time=158.60 x[1] = 1.6306 1.07 h = 0.0001 0.005 y[1] (numeric) = -0.807389241284 1.0796984762 y[1] (closed_form) = -0.809723429258 1.07346210482 absolute error = 0.006659 relative error = 0.4952 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.785 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=12564.5MB, alloc=44.3MB, time=159.17 x[1] = 1.6307 1.075 h = 0.0001 0.003 y[1] (numeric) = -0.803248456163 1.07981737431 y[1] (closed_form) = -0.805592946032 1.07357566693 absolute error = 0.006667 relative error = 0.4968 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.787 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=12610.1MB, alloc=44.3MB, time=159.74 x[1] = 1.6308 1.078 h = 0.001 0.001 y[1] (numeric) = -0.800776783571 1.07984719428 y[1] (closed_form) = -0.803125258898 1.07360422775 absolute error = 0.00667 relative error = 0.4975 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.787 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=12655.7MB, alloc=44.3MB, time=160.30 x[1] = 1.6318 1.079 h = 0.0001 0.004 y[1] (numeric) = -0.799921243223 1.07906329007 y[1] (closed_form) = -0.80226996955 1.07282141592 absolute error = 0.006669 relative error = 0.4978 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.789 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=12701.2MB, alloc=44.3MB, time=160.87 x[1] = 1.6319 1.083 h = 0.003 0.006 y[1] (numeric) = -0.796644995286 1.07912701666 y[1] (closed_form) = -0.799001274329 1.07288095835 absolute error = 0.006676 relative error = 0.499 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.79 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=12746.7MB, alloc=44.3MB, time=161.44 x[1] = 1.6349 1.089 h = 0.0001 0.005 y[1] (numeric) = -0.791658399486 1.07688765079 y[1] (closed_form) = -0.794036390729 1.07065250297 absolute error = 0.006673 relative error = 0.5006 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.795 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=12792.4MB, alloc=44.3MB, time=162.01 x[1] = 1.635 1.094 h = 0.0001 0.003 y[1] (numeric) = -0.787623304999 1.07697310973 y[1] (closed_form) = -0.790011306851 1.0707330138 absolute error = 0.006681 relative error = 0.5021 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.796 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=12838.0MB, alloc=44.3MB, time=162.58 x[1] = 1.6351 1.097 h = 0.001 0.001 y[1] (numeric) = -0.785214943823 1.07698425977 y[1] (closed_form) = -0.787606808114 1.07074302629 absolute error = 0.006684 relative error = 0.5028 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.797 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=12883.7MB, alloc=44.3MB, time=163.14 x[1] = 1.6361 1.098 h = 0.001 0.003 y[1] (numeric) = -0.784387008947 1.07621433597 y[1] (closed_form) = -0.786779095256 1.06997416125 absolute error = 0.006683 relative error = 0.5032 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.798 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=12929.2MB, alloc=44.3MB, time=163.71 x[1] = 1.6371 1.101 h = 0.0001 0.004 y[1] (numeric) = -0.7819651532 1.07550564977 y[1] (closed_form) = -0.78436232001 1.06926610365 absolute error = 0.006684 relative error = 0.504 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.8 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=12974.8MB, alloc=44.3MB, time=164.27 x[1] = 1.6372 1.105 h = 0.003 0.006 y[1] (numeric) = -0.778786425094 1.07554110911 y[1] (closed_form) = -0.781190605463 1.06929828991 absolute error = 0.00669 relative error = 0.5052 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.801 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=13020.2MB, alloc=44.3MB, time=164.84 x[1] = 1.6402 1.111 h = 0.0001 0.005 y[1] (numeric) = -0.773965833589 1.07332967467 y[1] (closed_form) = -0.776390600547 1.06709772549 absolute error = 0.006687 relative error = 0.5067 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.806 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=13066.0MB, alloc=44.3MB, time=165.40 x[1] = 1.6403 1.116 h = 0.0001 0.003 y[1] (numeric) = -0.770049855463 1.07338164089 y[1] (closed_form) = -0.772484295805 1.06714515648 absolute error = 0.006695 relative error = 0.5082 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.808 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=13111.6MB, alloc=44.3MB, time=165.97 x[1] = 1.6404 1.119 h = 0.001 0.001 y[1] (numeric) = -0.767712800879 1.07337423444 y[1] (closed_form) = -0.770150962923 1.06713674044 absolute error = 0.006697 relative error = 0.5089 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.809 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=13157.3MB, alloc=44.3MB, time=166.54 x[1] = 1.6414 1.12 h = 0.001 0.003 y[1] (numeric) = -0.766915165982 1.07262089783 y[1] (closed_form) = -0.7693535197 1.06638442425 absolute error = 0.006696 relative error = 0.5092 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.81 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=13202.9MB, alloc=44.3MB, time=167.11 x[1] = 1.6424 1.123 h = 0.0001 0.004 y[1] (numeric) = -0.764570274217 1.07191502679 y[1] (closed_form) = -0.767013481758 1.06567924959 absolute error = 0.006697 relative error = 0.5101 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.812 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=13248.5MB, alloc=44.3MB, time=167.67 x[1] = 1.6425 1.127 h = 0.003 0.006 y[1] (numeric) = -0.761485186744 1.07192579519 y[1] (closed_form) = -0.763935172014 1.06568701662 absolute error = 0.006703 relative error = 0.5112 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.813 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=13294.1MB, alloc=44.3MB, time=168.24 x[1] = 1.6455 1.133 h = 0.0001 0.005 y[1] (numeric) = -0.756823108217 1.06974416478 y[1] (closed_form) = -0.759292619058 1.06351618837 absolute error = 0.0067 relative error = 0.5127 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.818 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=13339.7MB, alloc=44.3MB, time=168.80 x[1] = 1.6456 1.138 h = 0.0001 0.003 y[1] (numeric) = -0.753021869922 1.06976620965 y[1] (closed_form) = -0.755500725606 1.06353407818 absolute error = 0.006707 relative error = 0.5141 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.819 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=13385.3MB, alloc=44.3MB, time=169.37 x[1] = 1.6457 1.141 h = 0.001 0.001 y[1] (numeric) = -0.750753477168 1.06974231035 y[1] (closed_form) = -0.7532359184 1.06350928606 memory used=13430.9MB, alloc=44.3MB, time=169.94 absolute error = 0.006709 relative error = 0.5148 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.82 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=13476.5MB, alloc=44.3MB, time=170.50 x[1] = 1.6467 1.142 h = 0.001 0.003 y[1] (numeric) = -0.749984579166 1.06900541325 y[1] (closed_form) = -0.752467184468 1.0627733723 absolute error = 0.006708 relative error = 0.5152 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.821 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=13522.1MB, alloc=44.3MB, time=171.07 x[1] = 1.6477 1.145 h = 0.0001 0.004 y[1] (numeric) = -0.747713391438 1.06830362253 y[1] (closed_form) = -0.750200634945 1.06207233619 absolute error = 0.006709 relative error = 0.516 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.823 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=13567.8MB, alloc=44.3MB, time=171.64 x[1] = 1.6478 1.149 h = 0.003 0.006 y[1] (numeric) = -0.744718488117 1.06829240283 y[1] (closed_form) = -0.747212279926 1.06205836538 absolute error = 0.006714 relative error = 0.5171 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.824 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=13613.2MB, alloc=44.3MB, time=172.20 x[1] = 1.6508 1.155 h = 0.0001 0.005 y[1] (numeric) = -0.740207803471 1.06614215424 y[1] (closed_form) = -0.742720120811 1.05991882768 absolute error = 0.006711 relative error = 0.5186 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.829 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=13658.8MB, alloc=44.3MB, time=172.78 x[1] = 1.6509 1.16 h = 0.0001 0.003 y[1] (numeric) = -0.736517082765 1.06613753965 y[1] (closed_form) = -0.739038425517 1.05991040807 absolute error = 0.006718 relative error = 0.5199 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.831 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=13704.5MB, alloc=44.3MB, time=173.34 x[1] = 1.651 1.163 h = 0.001 0.001 y[1] (numeric) = -0.734314802818 1.06609903006 y[1] (closed_form) = -0.736839599589 1.05987111221 absolute error = 0.00672 relative error = 0.5206 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.832 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=13750.1MB, alloc=44.3MB, time=173.91 x[1] = 1.652 1.164 h = 0.001 0.003 y[1] (numeric) = -0.733573169281 1.06537839408 y[1] (closed_form) = -0.736098105028 1.05915142378 absolute error = 0.006719 relative error = 0.521 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.833 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=13795.9MB, alloc=44.3MB, time=174.48 x[1] = 1.653 1.167 h = 0.0001 0.004 y[1] (numeric) = -0.731372575392 1.06468179745 y[1] (closed_form) = -0.733901944317 1.0584556314 absolute error = 0.00672 relative error = 0.5218 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.835 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=13841.5MB, alloc=44.3MB, time=175.05 x[1] = 1.6531 1.171 h = 0.003 0.006 y[1] (numeric) = -0.728464524584 1.06465105679 y[1] (closed_form) = -0.731000219006 1.05842237014 absolute error = 0.006725 relative error = 0.5228 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.836 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=13887.2MB, alloc=44.3MB, time=175.62 x[1] = 1.6561 1.177 h = 0.0001 0.005 y[1] (numeric) = -0.7240984704 1.06253350494 y[1] (closed_form) = -0.726651747829 1.05631541801 absolute error = 0.006722 relative error = 0.5243 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.841 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=13932.7MB, alloc=44.3MB, time=176.18 x[1] = 1.6562 1.182 h = 0.0001 0.003 y[1] (numeric) = -0.720514198269 1.06250520934 y[1] (closed_form) = -0.723076191085 1.0562836397 absolute error = 0.006728 relative error = 0.5256 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.843 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=13978.3MB, alloc=44.3MB, time=176.75 x[1] = 1.6563 1.185 h = 0.001 0.001 y[1] (numeric) = -0.71837557682 1.06245380631 y[1] (closed_form) = -0.720940896754 1.05623154756 absolute error = 0.00673 relative error = 0.5263 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.844 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=14023.9MB, alloc=44.3MB, time=177.32 x[1] = 1.6573 1.186 h = 0.0001 0.004 y[1] (numeric) = -0.717659820698 1.06174922724 y[1] (closed_form) = -0.720225256812 1.05552788152 absolute error = 0.00673 relative error = 0.5266 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.845 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=14069.5MB, alloc=44.3MB, time=177.88 x[1] = 1.6574 1.19 h = 0.003 0.006 y[1] (numeric) = -0.714823474311 1.06170301013 y[1] (closed_form) = -0.717395337239 1.05547883112 absolute error = 0.006735 relative error = 0.5277 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.846 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=14115.1MB, alloc=44.3MB, time=178.45 x[1] = 1.6604 1.196 h = 0.0001 0.005 y[1] (numeric) = -0.710577163248 1.05961285647 y[1] (closed_form) = -0.713165839825 1.05339917828 absolute error = 0.006731 relative error = 0.5291 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.851 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=14160.7MB, alloc=44.3MB, time=179.01 x[1] = 1.6605 1.201 h = 0.0001 0.003 y[1] (numeric) = -0.707081137141 1.05956515846 y[1] (closed_form) = -0.709678273349 1.053348258 absolute error = 0.006738 relative error = 0.5305 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.852 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=14206.3MB, alloc=44.3MB, time=179.58 x[1] = 1.6606 1.204 h = 0.001 0.001 y[1] (numeric) = -0.704995288129 1.0595031956 y[1] (closed_form) = -0.707595646928 1.05328568419 absolute error = 0.006739 relative error = 0.5311 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.854 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=14252.0MB, alloc=44.3MB, time=180.15 x[1] = 1.6616 1.205 h = 0.001 0.003 y[1] (numeric) = -0.704300944754 1.05881197045 y[1] (closed_form) = -0.706901401413 1.05259534361 absolute error = 0.006739 relative error = 0.5315 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.855 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=14297.5MB, alloc=44.3MB, time=180.72 x[1] = 1.6626 1.208 h = 0.0001 0.004 y[1] (numeric) = -0.702224008052 1.05812678554 y[1] (closed_form) = -0.704828543361 1.05191103772 absolute error = 0.006739 relative error = 0.5322 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.857 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=14343.1MB, alloc=44.3MB, time=181.28 x[1] = 1.6627 1.212 h = 0.003 0.006 y[1] (numeric) = -0.699468950765 1.05806461515 y[1] (closed_form) = -0.702079417318 1.05184673086 absolute error = 0.006744 relative error = 0.5332 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.858 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=14388.7MB, alloc=44.3MB, time=181.85 x[1] = 1.6657 1.218 h = 0.0001 0.005 y[1] (numeric) = -0.695355585456 1.05600907276 y[1] (closed_form) = -0.69798202131 1.04980154845 absolute error = 0.00674 relative error = 0.5347 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.863 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=14434.3MB, alloc=44.3MB, time=182.41 x[1] = 1.6658 1.223 h = 0.0001 0.003 y[1] (numeric) = -0.691958865781 1.05594260614 y[1] (closed_form) = -0.694593468884 1.04973213587 absolute error = 0.006746 relative error = 0.536 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.864 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=14479.9MB, alloc=44.3MB, time=182.97 x[1] = 1.6659 1.226 h = 0.001 0.001 y[1] (numeric) = -0.689932371495 1.05587057742 y[1] (closed_form) = -0.692570078714 1.04965957789 absolute error = 0.006748 relative error = 0.5366 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.865 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=14525.4MB, alloc=44.3MB, time=183.53 x[1] = 1.6669 1.227 h = 0.001 0.003 y[1] (numeric) = -0.689261531796 1.05519498911 y[1] (closed_form) = -0.691899317866 1.04898484195 absolute error = 0.006747 relative error = 0.5369 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.867 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=14571.0MB, alloc=44.3MB, time=184.10 x[1] = 1.6679 1.23 h = 0.0001 0.004 y[1] (numeric) = -0.687247075988 1.05451750766 y[1] (closed_form) = -0.689888763348 1.04830826925 absolute error = 0.006748 relative error = 0.5377 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.869 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=14616.6MB, alloc=44.3MB, time=184.66 memory used=14662.2MB, alloc=44.3MB, time=185.22 x[1] = 1.668 1.234 h = 0.003 0.006 y[1] (numeric) = -0.684570036424 1.05444177891 y[1] (closed_form) = -0.687217451563 1.04823058618 absolute error = 0.006752 relative error = 0.5387 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.87 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=14707.9MB, alloc=44.3MB, time=185.79 x[1] = 1.671 1.24 h = 0.0001 0.005 y[1] (numeric) = -0.680583779683 1.05242155579 y[1] (closed_form) = -0.683246368268 1.04622057026 absolute error = 0.006748 relative error = 0.5401 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.875 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=14753.3MB, alloc=44.3MB, time=186.35 x[1] = 1.6711 1.245 h = 0.0001 0.003 y[1] (numeric) = -0.677282720443 1.0523386116 y[1] (closed_form) = -0.679953193611 1.04613493452 absolute error = 0.006754 relative error = 0.5413 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.876 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=14799.0MB, alloc=44.3MB, time=186.92 x[1] = 1.6712 1.248 h = 0.001 0.001 y[1] (numeric) = -0.675313386611 1.05225783247 y[1] (closed_form) = -0.677986849908 1.04605370055 absolute error = 0.006756 relative error = 0.5419 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.878 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=14844.6MB, alloc=44.3MB, time=187.48 x[1] = 1.6722 1.249 h = 0.001 0.003 y[1] (numeric) = -0.674664880739 1.05159762403 y[1] (closed_form) = -0.677338405663 1.04539431351 absolute error = 0.006755 relative error = 0.5423 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.879 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=14890.2MB, alloc=44.3MB, time=188.04 x[1] = 1.6732 1.252 h = 0.0001 0.004 y[1] (numeric) = -0.672710319268 1.05092850171 y[1] (closed_form) = -0.675387576955 1.04472612412 absolute error = 0.006756 relative error = 0.543 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.881 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=14935.8MB, alloc=44.3MB, time=188.61 x[1] = 1.6733 1.256 h = 0.003 0.006 y[1] (numeric) = -0.670108428079 1.05084094296 y[1] (closed_form) = -0.672791216939 1.04463677885 absolute error = 0.006759 relative error = 0.544 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.882 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=14981.4MB, alloc=44.3MB, time=189.17 x[1] = 1.6763 1.262 h = 0.0001 0.005 y[1] (numeric) = -0.666243737495 1.04885658012 y[1] (closed_form) = -0.66894094957 1.04266246064 absolute error = 0.006756 relative error = 0.5454 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.887 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=15027.0MB, alloc=44.3MB, time=189.74 x[1] = 1.6764 1.267 h = 0.0001 0.003 y[1] (numeric) = -0.663034835422 1.04875924773 y[1] (closed_form) = -0.665739659087 1.04256267096 absolute error = 0.006761 relative error = 0.5466 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.889 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=15072.7MB, alloc=44.3MB, time=190.31 x[1] = 1.6765 1.27 h = 0.001 0.001 y[1] (numeric) = -0.66112055506 1.04867091611 y[1] (closed_form) = -0.663828259267 1.04247395225 absolute error = 0.006763 relative error = 0.5472 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.89 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=15118.3MB, alloc=44.3MB, time=190.88 x[1] = 1.6775 1.271 h = 0.001 0.003 y[1] (numeric) = -0.660493280571 1.04802581867 y[1] (closed_form) = -0.66320103081 1.04182964641 absolute error = 0.006762 relative error = 0.5475 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.891 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=15163.9MB, alloc=44.3MB, time=191.44 x[1] = 1.6785 1.274 h = 0.0001 0.004 y[1] (numeric) = -0.65859614913 1.04736562024 y[1] (closed_form) = -0.66130747201 1.04117040019 absolute error = 0.006763 relative error = 0.5483 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.893 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=15209.5MB, alloc=44.3MB, time=192.00 x[1] = 1.6786 1.278 h = 0.003 0.006 y[1] (numeric) = -0.656066650691 1.04726780654 y[1] (closed_form) = -0.658783314935 1.04107095453 absolute error = 0.006766 relative error = 0.5492 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.894 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=15255.0MB, alloc=44.3MB, time=192.58 x[1] = 1.6816 1.284 h = 0.0001 0.005 y[1] (numeric) = -0.652318263846 1.04531969698 y[1] (closed_form) = -0.655048643987 1.03913271912 absolute error = 0.006763 relative error = 0.5505 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.899 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=15300.6MB, alloc=44.3MB, time=193.14 x[1] = 1.6817 1.289 h = 0.0001 0.003 y[1] (numeric) = -0.649198154533 1.04520988112 y[1] (closed_form) = -0.651935882846 1.03902066169 absolute error = 0.006768 relative error = 0.5517 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.901 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=15346.1MB, alloc=44.3MB, time=193.70 x[1] = 1.6818 1.292 h = 0.001 0.001 y[1] (numeric) = -0.647336905418 1.04511508737 y[1] (closed_form) = -0.65007740898 1.03892554247 absolute error = 0.006769 relative error = 0.5523 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.902 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=15391.7MB, alloc=44.3MB, time=194.27 x[1] = 1.6828 1.293 h = 0.0001 0.004 y[1] (numeric) = -0.646729823197 1.04448482271 y[1] (closed_form) = -0.64947035869 1.03829604081 absolute error = 0.006768 relative error = 0.5527 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.903 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=15437.4MB, alloc=44.3MB, time=194.83 x[1] = 1.6829 1.297 h = 0.003 0.006 y[1] (numeric) = -0.644260151073 1.04437892314 y[1] (closed_form) = -0.647006137069 1.03818822748 absolute error = 0.006772 relative error = 0.5536 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.905 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=15483.0MB, alloc=44.3MB, time=195.40 x[1] = 1.6859 1.303 h = 0.0001 0.005 y[1] (numeric) = -0.640608299699 1.04246092843 y[1] (closed_form) = -0.643367423029 1.0362799629 absolute error = 0.006769 relative error = 0.5549 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.909 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=15528.7MB, alloc=44.3MB, time=195.96 x[1] = 1.686 1.308 h = 0.0001 0.003 y[1] (numeric) = -0.637561908159 1.04234075734 y[1] (closed_form) = -0.640328162779 1.03615772519 absolute error = 0.006774 relative error = 0.5561 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.911 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=15574.3MB, alloc=44.3MB, time=196.53 x[1] = 1.6861 1.311 h = 0.001 0.001 y[1] (numeric) = -0.635744688874 1.04224059852 y[1] (closed_form) = -0.638513632106 1.03605729064 absolute error = 0.006775 relative error = 0.5567 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.912 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=15619.9MB, alloc=44.3MB, time=197.09 x[1] = 1.6871 1.312 h = 0.001 0.003 y[1] (numeric) = -0.635154372964 1.04162264843 y[1] (closed_form) = -0.637923336763 1.03544007996 absolute error = 0.006774 relative error = 0.557 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.914 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=15665.5MB, alloc=44.3MB, time=197.66 x[1] = 1.6881 1.315 h = 0.0001 0.004 y[1] (numeric) = -0.633358060931 1.04097966451 y[1] (closed_form) = -0.636130320483 1.03479807452 absolute error = 0.006775 relative error = 0.5577 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.916 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=15711.1MB, alloc=44.3MB, time=198.22 x[1] = 1.6882 1.319 h = 0.003 0.006 y[1] (numeric) = -0.630956225768 1.04086569898 y[1] (closed_form) = -0.633733492766 1.03468273501 absolute error = 0.006778 relative error = 0.5586 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.917 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=15756.7MB, alloc=44.3MB, time=198.79 x[1] = 1.6912 1.325 h = 0.0001 0.005 y[1] (numeric) = -0.627411584142 1.03898440736 y[1] (closed_form) = -0.63020135424 1.03281099214 absolute error = 0.006775 relative error = 0.5599 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.922 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=15802.3MB, alloc=44.3MB, time=199.35 memory used=15847.9MB, alloc=44.3MB, time=199.91 x[1] = 1.6913 1.33 h = 0.0001 0.003 y[1] (numeric) = -0.624448098573 1.03885489444 y[1] (closed_form) = -0.627244753781 1.03267959753 absolute error = 0.006779 relative error = 0.5611 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.924 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=15893.5MB, alloc=44.3MB, time=200.48 x[1] = 1.6914 1.333 h = 0.001 0.001 y[1] (numeric) = -0.622680374466 1.03875006876 y[1] (closed_form) = -0.625479620615 1.03257454768 absolute error = 0.00678 relative error = 0.5616 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.925 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=15939.2MB, alloc=44.3MB, time=201.04 x[1] = 1.6924 1.334 h = 0.001 0.003 y[1] (numeric) = -0.622108469376 1.03814642725 y[1] (closed_form) = -0.624907724448 1.03197161904 absolute error = 0.00678 relative error = 0.562 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.926 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=15984.9MB, alloc=44.3MB, time=201.61 x[1] = 1.6934 1.337 h = 0.0001 0.004 y[1] (numeric) = -0.620363167683 1.03751358439 y[1] (closed_form) = -0.623165580135 1.03133976255 absolute error = 0.00678 relative error = 0.5627 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.928 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=16030.4MB, alloc=44.3MB, time=202.17 x[1] = 1.6935 1.341 h = 0.003 0.006 y[1] (numeric) = -0.618026453611 1.03739316334 y[1] (closed_form) = -0.620833702434 1.03121808967 absolute error = 0.006783 relative error = 0.5635 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.929 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=16076.0MB, alloc=44.3MB, time=202.74 x[1] = 1.6965 1.347 h = 0.0001 0.005 y[1] (numeric) = -0.614584482459 1.03554862971 y[1] (closed_form) = -0.617403636118 1.02938291974 absolute error = 0.00678 relative error = 0.5648 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.934 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=16121.7MB, alloc=44.3MB, time=203.30 x[1] = 1.6966 1.352 h = 0.0001 0.003 y[1] (numeric) = -0.611700910848 1.03541123168 y[1] (closed_form) = -0.61452671254 1.0292438103 absolute error = 0.006784 relative error = 0.5659 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.936 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=16167.3MB, alloc=44.3MB, time=203.87 x[1] = 1.6967 1.355 h = 0.001 0.001 y[1] (numeric) = -0.609980886322 1.03530256886 y[1] (closed_form) = -0.612809185237 1.02913497013 absolute error = 0.006785 relative error = 0.5665 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.937 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=16213.0MB, alloc=44.3MB, time=204.44 x[1] = 1.6977 1.356 h = 0.001 0.003 y[1] (numeric) = -0.609426513645 1.03471294193 y[1] (closed_form) = -0.612254810993 1.02854603059 absolute error = 0.006785 relative error = 0.5668 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.938 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=16258.5MB, alloc=44.3MB, time=205.00 x[1] = 1.6987 1.359 h = 0.0001 0.004 y[1] (numeric) = -0.607730178775 1.03409053136 y[1] (closed_form) = -0.610561502015 1.02792461121 absolute error = 0.006785 relative error = 0.5675 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.94 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=16304.1MB, alloc=44.3MB, time=205.56 x[1] = 1.6988 1.363 h = 0.003 0.006 y[1] (numeric) = -0.605456235847 1.03396474914 y[1] (closed_form) = -0.608292230708 1.02779768966 absolute error = 0.006788 relative error = 0.5684 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.942 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=16349.7MB, alloc=44.3MB, time=206.13 x[1] = 1.7018 1.369 h = 0.0001 0.005 y[1] (numeric) = -0.602112624196 1.03215693719 y[1] (closed_form) = -0.604959959434 1.02599905381 absolute error = 0.006784 relative error = 0.5696 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.947 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=16395.4MB, alloc=44.3MB, time=206.70 x[1] = 1.7019 1.374 h = 0.0001 0.003 y[1] (numeric) = -0.599306096937 1.03201297944 y[1] (closed_form) = -0.602159852011 1.02585354147 absolute error = 0.006788 relative error = 0.5707 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.949 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=16441.0MB, alloc=44.3MB, time=207.26 x[1] = 1.702 1.377 h = 0.001 0.001 y[1] (numeric) = -0.597632050667 1.03190123295 y[1] (closed_form) = -0.600488213071 1.0257416601 absolute error = 0.00679 relative error = 0.5712 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.95 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=16486.6MB, alloc=44.3MB, time=207.83 x[1] = 1.703 1.378 h = 0.001 0.003 y[1] (numeric) = -0.597094381726 1.03132532451 y[1] (closed_form) = -0.599950533128 1.02516641461 absolute error = 0.006789 relative error = 0.5715 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.951 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=16532.2MB, alloc=44.3MB, time=208.39 x[1] = 1.704 1.381 h = 0.0001 0.004 y[1] (numeric) = -0.595445067077 1.03071358373 y[1] (closed_form) = -0.598304119408 1.02455566707 absolute error = 0.006789 relative error = 0.5722 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.953 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=16577.7MB, alloc=44.3MB, time=208.96 x[1] = 1.7041 1.385 h = 0.003 0.006 y[1] (numeric) = -0.593231642123 1.03058343501 y[1] (closed_form) = -0.596095207488 1.02442448266 absolute error = 0.006792 relative error = 0.5731 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.955 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=16623.4MB, alloc=44.3MB, time=209.52 x[1] = 1.7071 1.391 h = 0.0001 0.005 y[1] (numeric) = -0.589982295267 1.02881222835 y[1] (closed_form) = -0.592856668312 1.02266226294 absolute error = 0.006789 relative error = 0.5743 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.959 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=16669.0MB, alloc=44.3MB, time=210.09 x[1] = 1.7072 1.396 h = 0.0001 0.003 y[1] (numeric) = -0.587250060693 1.02866291605 y[1] (closed_form) = -0.590130634019 1.02251154045 absolute error = 0.006792 relative error = 0.5753 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.961 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=16714.6MB, alloc=44.3MB, time=210.66 x[1] = 1.7073 1.399 h = 0.001 0.001 y[1] (numeric) = -0.585620342829 1.0285487696 y[1] (closed_form) = -0.588503237281 1.02239729762 absolute error = 0.006794 relative error = 0.5759 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.962 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=16760.3MB, alloc=44.3MB, time=211.22 x[1] = 1.7083 1.4 h = 0.003 0.006 y[1] (numeric) = -0.585098595649 1.0279862828 y[1] (closed_form) = -0.587981470627 1.02183545032 absolute error = 0.006793 relative error = 0.5762 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.964 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=16805.9MB, alloc=44.3MB, time=211.79 x[1] = 1.7113 1.406 h = 0.0001 0.005 y[1] (numeric) = -0.581910147564 1.02624318667 y[1] (closed_form) = -0.584804245353 1.02010042203 absolute error = 0.00679 relative error = 0.5775 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.969 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=16851.5MB, alloc=44.3MB, time=212.35 x[1] = 1.7114 1.411 h = 0.0001 0.003 y[1] (numeric) = -0.579227582834 1.02609262547 y[1] (closed_form) = -0.582127731461 1.019948538 absolute error = 0.006794 relative error = 0.5785 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.971 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=16897.1MB, alloc=44.3MB, time=212.91 x[1] = 1.7115 1.414 h = 0.001 0.001 y[1] (numeric) = -0.577627478448 1.02597826089 y[1] (closed_form) = -0.580529890112 1.01983409934 absolute error = 0.006795 relative error = 0.5791 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.972 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=16942.8MB, alloc=44.3MB, time=213.48 x[1] = 1.7125 1.415 h = 0.001 0.003 y[1] (numeric) = -0.577115923588 1.02542521362 y[1] (closed_form) = -0.580018311028 1.01928167581 absolute error = 0.006795 relative error = 0.5794 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.973 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=16988.4MB, alloc=44.3MB, time=214.04 x[1] = 1.7135 1.418 h = 0.0001 0.004 y[1] (numeric) = -0.575541535596 1.02483297415 y[1] (closed_form) = -0.57844662698 1.01869042487 absolute error = 0.006795 relative error = 0.58 % Correct digits = 2 memory used=17034.2MB, alloc=44.3MB, time=214.61 Radius of convergence (given) for eq 1 = 3.975 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=17079.9MB, alloc=44.3MB, time=215.17 x[1] = 1.7136 1.422 h = 0.003 0.006 y[1] (numeric) = -0.573425468494 1.02469886893 y[1] (closed_form) = -0.576334816539 1.01855543703 absolute error = 0.006798 relative error = 0.5808 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.977 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=17125.6MB, alloc=44.3MB, time=215.74 x[1] = 1.7166 1.428 h = 0.0001 0.005 y[1] (numeric) = -0.570325598471 1.02299115925 y[1] (closed_form) = -0.573244926603 1.01685638192 absolute error = 0.006794 relative error = 0.582 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.981 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=17171.1MB, alloc=44.3MB, time=216.30 x[1] = 1.7167 1.433 h = 0.0001 0.003 y[1] (numeric) = -0.567712912449 1.02283696965 y[1] (closed_form) = -0.570638086137 1.0167009953 absolute error = 0.006798 relative error = 0.583 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.983 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=17216.7MB, alloc=44.3MB, time=216.86 x[1] = 1.7168 1.436 h = 0.001 0.001 y[1] (numeric) = -0.566154492234 1.02272117932 y[1] (closed_form) = -0.569081848761 1.01658516353 absolute error = 0.006799 relative error = 0.5835 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.985 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=17262.2MB, alloc=44.3MB, time=217.43 x[1] = 1.7178 1.437 h = 0.001 0.003 y[1] (numeric) = -0.565657644755 1.02218103654 y[1] (closed_form) = -0.568584970005 1.01604562267 absolute error = 0.006798 relative error = 0.5839 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.986 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=17307.8MB, alloc=44.3MB, time=217.99 x[1] = 1.7188 1.44 h = 0.0001 0.004 y[1] (numeric) = -0.564125486502 1.02159983845 y[1] (closed_form) = -0.567055406682 1.01546540942 absolute error = 0.006798 relative error = 0.5845 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.988 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=17353.3MB, alloc=44.3MB, time=218.56 x[1] = 1.7189 1.444 h = 0.003 0.006 y[1] (numeric) = -0.562064314349 1.02146355971 y[1] (closed_form) = -0.564998348457 1.01532833129 absolute error = 0.006801 relative error = 0.5853 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.989 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=17398.9MB, alloc=44.3MB, time=219.12 x[1] = 1.7219 1.45 h = 0.0001 0.005 y[1] (numeric) = -0.559048695647 1.01979173214 y[1] (closed_form) = -0.561992253322 1.01366496945 absolute error = 0.006797 relative error = 0.5865 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.994 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=17444.5MB, alloc=44.3MB, time=219.69 x[1] = 1.722 1.455 h = 0.0001 0.003 y[1] (numeric) = -0.556503434037 1.01963484663 y[1] (closed_form) = -0.559452639914 1.01350700279 absolute error = 0.006801 relative error = 0.5874 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.996 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=17490.1MB, alloc=44.3MB, time=220.26 x[1] = 1.7221 1.458 h = 0.001 0.001 y[1] (numeric) = -0.554985227957 1.01951815634 y[1] (closed_form) = -0.557936539801 1.01339030055 absolute error = 0.006802 relative error = 0.5879 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.997 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=17535.7MB, alloc=44.3MB, time=220.82 x[1] = 1.7231 1.459 h = 0.001 0.003 y[1] (numeric) = -0.55450241774 1.0189906252 y[1] (closed_form) = -0.557453692009 1.01286335041 absolute error = 0.006801 relative error = 0.5883 % Correct digits = 2 Radius of convergence (given) for eq 1 = 3.999 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=17581.3MB, alloc=44.3MB, time=221.38 x[1] = 1.7241 1.462 h = 0.0001 0.004 y[1] (numeric) = -0.553010861481 1.01842055418 y[1] (closed_form) = -0.555964627013 1.01229425883 absolute error = 0.006801 relative error = 0.5889 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.001 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=17626.8MB, alloc=44.3MB, time=221.95 x[1] = 1.7242 1.466 h = 0.003 0.006 y[1] (numeric) = -0.551002658658 1.0182827986 y[1] (closed_form) = -0.55396040086 1.01215578052 absolute error = 0.006804 relative error = 0.5896 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.002 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=17672.4MB, alloc=44.3MB, time=222.51 x[1] = 1.7272 1.472 h = 0.0001 0.005 y[1] (numeric) = -0.548067900419 1.01664652452 y[1] (closed_form) = -0.551034734907 1.01052778431 absolute error = 0.0068 relative error = 0.5908 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.007 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=17718.1MB, alloc=44.3MB, time=223.08 x[1] = 1.7273 1.477 h = 0.0001 0.003 y[1] (numeric) = -0.545587710545 1.01648778859 y[1] (closed_form) = -0.548560003543 1.01036807391 absolute error = 0.006803 relative error = 0.5918 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.009 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=17763.7MB, alloc=44.3MB, time=223.64 x[1] = 1.7274 1.48 h = 0.001 0.001 y[1] (numeric) = -0.54410830993 1.01637067376 y[1] (closed_form) = -0.547082635217 1.01025097378 absolute error = 0.006804 relative error = 0.5923 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.01 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=17809.5MB, alloc=44.3MB, time=224.21 x[1] = 1.7284 1.481 h = 0.0001 0.004 y[1] (numeric) = -0.543638903892 1.015855464 y[1] (closed_form) = -0.546613185998 1.00973632494 absolute error = 0.006804 relative error = 0.5926 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.012 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=17855.1MB, alloc=44.3MB, time=224.78 x[1] = 1.7285 1.485 h = 0.003 0.006 y[1] (numeric) = -0.541674582651 1.01571663408 y[1] (closed_form) = -0.544652952676 1.00959654421 absolute error = 0.006806 relative error = 0.5933 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.013 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=17900.6MB, alloc=44.3MB, time=225.34 x[1] = 1.7315 1.491 h = 0.0001 0.005 y[1] (numeric) = -0.538807256332 1.01410975678 y[1] (closed_form) = -0.541794364245 1.00799778899 absolute error = 0.006803 relative error = 0.5945 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.018 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=17946.3MB, alloc=44.3MB, time=225.90 x[1] = 1.7316 1.496 h = 0.0001 0.003 y[1] (numeric) = -0.536381258787 1.01394930527 y[1] (closed_form) = -0.539373668997 1.00783645016 absolute error = 0.006806 relative error = 0.5954 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.02 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=17992.0MB, alloc=44.3MB, time=226.47 x[1] = 1.7317 1.499 h = 0.001 0.001 y[1] (numeric) = -0.534934179362 1.01383172996 y[1] (closed_form) = -0.537928561178 1.00771891119 absolute error = 0.006807 relative error = 0.5959 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.022 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=18037.7MB, alloc=44.3MB, time=227.03 x[1] = 1.7327 1.5 h = 0.001 0.003 y[1] (numeric) = -0.534475972992 1.01332674595 y[1] (closed_form) = -0.537470307082 1.00721447156 absolute error = 0.006806 relative error = 0.5962 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.023 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=18083.2MB, alloc=44.3MB, time=227.60 x[1] = 1.7337 1.503 h = 0.0001 0.004 y[1] (numeric) = -0.533056027321 1.01277706001 y[1] (closed_form) = -0.536052672937 1.00666575226 absolute error = 0.006806 relative error = 0.5968 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.025 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=18128.8MB, alloc=44.3MB, time=228.16 x[1] = 1.7338 1.507 h = 0.003 0.006 y[1] (numeric) = -0.531141533576 1.01263760831 y[1] (closed_form) = -0.534141915156 1.00652570622 absolute error = 0.006809 relative error = 0.5975 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.026 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=18174.6MB, alloc=44.3MB, time=228.72 x[1] = 1.7368 1.513 h = 0.0001 0.005 y[1] (numeric) = -0.528349190981 1.01106560249 y[1] (closed_form) = -0.531357922185 1.00496163743 absolute error = 0.006805 relative error = 0.5986 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.031 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=18220.3MB, alloc=44.3MB, time=229.30 memory used=18266.0MB, alloc=44.3MB, time=229.86 x[1] = 1.7369 1.518 h = 0.0001 0.003 y[1] (numeric) = -0.525984151614 1.01090469218 y[1] (closed_form) = -0.528998008884 1.00479993118 absolute error = 0.006808 relative error = 0.5996 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.033 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=18311.6MB, alloc=44.3MB, time=230.43 x[1] = 1.737 1.521 h = 0.001 0.001 y[1] (numeric) = -0.524573415492 1.0107874726 y[1] (closed_form) = -0.527589176267 1.00468276984 absolute error = 0.006809 relative error = 0.6 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.035 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=18357.2MB, alloc=44.3MB, time=230.99 x[1] = 1.738 1.522 h = 0.001 0.003 y[1] (numeric) = -0.524127522926 1.01029428535 y[1] (closed_form) = -0.527143231508 1.00419010841 absolute error = 0.006808 relative error = 0.6003 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.036 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=18402.7MB, alloc=44.3MB, time=231.56 x[1] = 1.739 1.525 h = 0.0001 0.004 y[1] (numeric) = -0.522743930935 1.00975582395 y[1] (closed_form) = -0.525761861142 1.00365260439 absolute error = 0.006809 relative error = 0.6009 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.038 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=18448.3MB, alloc=44.3MB, time=232.12 x[1] = 1.7391 1.529 h = 0.003 0.006 y[1] (numeric) = -0.520877334212 1.00961656282 y[1] (closed_form) = -0.52389887771 1.00351280941 absolute error = 0.006811 relative error = 0.6016 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.04 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=18493.9MB, alloc=44.3MB, time=232.69 x[1] = 1.7421 1.535 h = 0.0001 0.005 y[1] (numeric) = -0.518157038632 1.00807899421 y[1] (closed_form) = -0.521186564635 1.001982995 absolute error = 0.006807 relative error = 0.6027 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.045 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=18539.6MB, alloc=44.3MB, time=233.27 x[1] = 1.7422 1.54 h = 0.0001 0.003 y[1] (numeric) = -0.515850872074 1.00791825893 y[1] (closed_form) = -0.518885354824 1.00182154788 absolute error = 0.00681 relative error = 0.6036 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.047 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=18585.2MB, alloc=44.3MB, time=233.84 x[1] = 1.7423 1.543 h = 0.001 0.001 y[1] (numeric) = -0.514475231789 1.00780174827 y[1] (closed_form) = -0.517511552782 1.00170511513 absolute error = 0.006811 relative error = 0.6041 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.048 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=18630.9MB, alloc=44.3MB, time=234.41 x[1] = 1.7433 1.544 h = 0.001 0.003 y[1] (numeric) = -0.514041114049 1.00732007765 y[1] (closed_form) = -0.517077378911 1.00122395254 absolute error = 0.00681 relative error = 0.6044 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.049 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=18676.6MB, alloc=44.3MB, time=234.99 x[1] = 1.7443 1.547 h = 0.0001 0.004 y[1] (numeric) = -0.512692521785 1.00679282088 y[1] (closed_form) = -0.515730922707 1.0006976429 absolute error = 0.006811 relative error = 0.605 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.051 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=18722.2MB, alloc=44.3MB, time=235.62 x[1] = 1.7444 1.551 h = 0.003 0.006 y[1] (numeric) = -0.510872186739 1.00665422066 y[1] (closed_form) = -0.513914083046 1.00055856453 absolute error = 0.006813 relative error = 0.6057 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.053 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=18767.8MB, alloc=44.3MB, time=236.22 x[1] = 1.7474 1.557 h = 0.0001 0.005 y[1] (numeric) = -0.508221144218 1.00515062878 y[1] (closed_form) = -0.511270675794 0.999062546516 absolute error = 0.006809 relative error = 0.6067 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.058 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=18813.4MB, alloc=44.3MB, time=236.78 x[1] = 1.7475 1.562 h = 0.0001 0.003 y[1] (numeric) = -0.505971851323 1.00499064042 y[1] (closed_form) = -0.509026176977 0.998901923704 absolute error = 0.006812 relative error = 0.6076 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.06 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=18859.1MB, alloc=44.3MB, time=237.37 x[1] = 1.7476 1.565 h = 0.001 0.001 y[1] (numeric) = -0.504630111335 1.00487515616 y[1] (closed_form) = -0.507686212687 0.998786534993 absolute error = 0.006813 relative error = 0.608 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.061 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=18904.7MB, alloc=44.3MB, time=237.95 x[1] = 1.7486 1.566 h = 0.001 0.003 y[1] (numeric) = -0.504207258577 1.00440472655 y[1] (closed_form) = -0.507263300347 0.998316596356 absolute error = 0.006812 relative error = 0.6083 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.063 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=18950.5MB, alloc=44.3MB, time=238.53 x[1] = 1.7496 1.569 h = 0.0001 0.004 y[1] (numeric) = -0.502892374609 1.00388863438 y[1] (closed_form) = -0.505950470977 0.997801440206 absolute error = 0.006812 relative error = 0.6089 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.065 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=18996.0MB, alloc=44.3MB, time=239.10 x[1] = 1.7497 1.573 h = 0.003 0.006 y[1] (numeric) = -0.501116733643 1.00375111853 y[1] (closed_form) = -0.504178212077 0.997663497473 absolute error = 0.006814 relative error = 0.6096 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.066 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=19041.7MB, alloc=44.3MB, time=239.67 x[1] = 1.7527 1.579 h = 0.0001 0.005 y[1] (numeric) = -0.498532285322 1.00228102097 y[1] (closed_form) = -0.501601070486 0.996200796201 absolute error = 0.006811 relative error = 0.6106 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.071 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=19087.4MB, alloc=44.3MB, time=240.24 x[1] = 1.7528 1.584 h = 0.0001 0.003 y[1] (numeric) = -0.496337949458 1.00212229467 y[1] (closed_form) = -0.499411372426 0.996041506641 absolute error = 0.006813 relative error = 0.6115 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.073 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=19133.1MB, alloc=44.3MB, time=240.81 x[1] = 1.7529 1.587 h = 0.001 0.001 y[1] (numeric) = -0.49502896388 1.00200812161 y[1] (closed_form) = -0.498104102605 0.995927444914 absolute error = 0.006814 relative error = 0.6119 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.075 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=19178.7MB, alloc=44.3MB, time=241.38 x[1] = 1.7539 1.588 h = 0.0001 0.004 y[1] (numeric) = -0.494616893655 1.0015486622 y[1] (closed_form) = -0.497691969787 0.995468460122 absolute error = 0.006814 relative error = 0.6122 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.076 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=19224.4MB, alloc=44.3MB, time=241.95 x[1] = 1.754 1.592 h = 0.003 0.006 y[1] (numeric) = -0.492878335695 1.00141212079 y[1] (closed_form) = -0.495956901859 0.995331290916 absolute error = 0.006816 relative error = 0.6129 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.078 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=19270.1MB, alloc=44.3MB, time=242.52 x[1] = 1.757 1.598 h = 0.0001 0.005 y[1] (numeric) = -0.490349568945 0.999969701254 y[1] (closed_form) = -0.493435171098 0.993896120814 absolute error = 0.006812 relative error = 0.6139 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.083 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=19315.6MB, alloc=44.3MB, time=243.08 x[1] = 1.7571 1.603 h = 0.0001 0.003 y[1] (numeric) = -0.488201086254 0.999811808951 y[1] (closed_form) = -0.491291197383 0.993737723704 absolute error = 0.006815 relative error = 0.6148 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.085 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=19361.2MB, alloc=44.3MB, time=243.65 x[1] = 1.7572 1.606 h = 0.001 0.001 y[1] (numeric) = -0.486919432975 0.999698597224 y[1] (closed_form) = -0.490011210423 0.9936246362 absolute error = 0.006816 relative error = 0.6152 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.086 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=19406.8MB, alloc=44.3MB, time=244.22 x[1] = 1.7582 1.607 h = 0.001 0.003 y[1] (numeric) = -0.486516403754 0.999248246502 y[1] (closed_form) = -0.489608116159 0.993174746585 absolute error = 0.006815 relative error = 0.6155 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.087 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=19452.6MB, alloc=44.3MB, time=244.79 memory used=19498.3MB, alloc=44.3MB, time=245.36 x[1] = 1.7592 1.61 h = 0.0001 0.004 y[1] (numeric) = -0.485261138015 0.998752395317 y[1] (closed_form) = -0.488354763476 0.992679809776 absolute error = 0.006815 relative error = 0.616 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.089 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=19543.9MB, alloc=44.3MB, time=245.96 x[1] = 1.7593 1.614 h = 0.003 0.006 y[1] (numeric) = -0.483564732842 0.998617388621 y[1] (closed_form) = -0.486661541612 0.992544462149 absolute error = 0.006817 relative error = 0.6167 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.091 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=19589.6MB, alloc=44.3MB, time=246.53 x[1] = 1.7623 1.62 h = 0.0001 0.005 y[1] (numeric) = -0.481097941657 0.997207548344 y[1] (closed_form) = -0.484201489801 0.991141699189 absolute error = 0.006814 relative error = 0.6177 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.096 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=19635.2MB, alloc=44.3MB, time=247.09 x[1] = 1.7624 1.625 h = 0.0001 0.003 y[1] (numeric) = -0.47900106178 0.99705176234 y[1] (closed_form) = -0.482108973805 0.990985469228 absolute error = 0.006816 relative error = 0.6185 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.098 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=19680.9MB, alloc=44.3MB, time=247.66 x[1] = 1.7625 1.628 h = 0.001 0.001 y[1] (numeric) = -0.47775015803 0.996940326512 y[1] (closed_form) = -0.48085968096 0.990874170325 absolute error = 0.006817 relative error = 0.6189 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.1 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=19726.5MB, alloc=44.3MB, time=248.22 x[1] = 1.7635 1.629 h = 0.001 0.003 y[1] (numeric) = -0.477357077923 0.996500460743 y[1] (closed_form) = -0.480466533529 0.99043475053 absolute error = 0.006816 relative error = 0.6192 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.101 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=19772.2MB, alloc=44.3MB, time=248.79 x[1] = 1.7645 1.632 h = 0.0001 0.004 y[1] (numeric) = -0.476132142491 0.996015581797 y[1] (closed_form) = -0.479243440267 0.989950773031 absolute error = 0.006816 relative error = 0.6197 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.103 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=19817.9MB, alloc=44.3MB, time=249.36 x[1] = 1.7646 1.636 h = 0.003 0.006 y[1] (numeric) = -0.474476298586 0.995882662189 y[1] (closed_form) = -0.477590678469 0.98981755281 absolute error = 0.006818 relative error = 0.6204 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.105 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=19863.5MB, alloc=44.3MB, time=249.92 x[1] = 1.7676 1.642 h = 0.0001 0.005 y[1] (numeric) = -0.472069171849 0.994504874369 y[1] (closed_form) = -0.475190010194 0.988446673445 absolute error = 0.006815 relative error = 0.6214 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.11 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=19909.0MB, alloc=44.3MB, time=250.48 x[1] = 1.7677 1.647 h = 0.0001 0.003 y[1] (numeric) = -0.470022194364 0.994351571626 y[1] (closed_form) = -0.473147257195 0.988292982677 absolute error = 0.006817 relative error = 0.6222 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.112 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=19954.7MB, alloc=44.3MB, time=251.05 x[1] = 1.7678 1.65 h = 0.001 0.001 y[1] (numeric) = -0.468801024253 0.994242117084 y[1] (closed_form) = -0.471927644868 0.988183676322 absolute error = 0.006818 relative error = 0.6226 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.113 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=20000.3MB, alloc=44.3MB, time=251.61 x[1] = 1.7688 1.651 h = 0.001 0.003 y[1] (numeric) = -0.468417480568 0.993812480138 y[1] (closed_form) = -0.471544031918 0.987754470838 absolute error = 0.006817 relative error = 0.6228 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.115 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=20046.0MB, alloc=44.3MB, time=252.18 x[1] = 1.7698 1.654 h = 0.0001 0.004 y[1] (numeric) = -0.467221796945 0.993338475214 y[1] (closed_form) = -0.470350122909 0.987281353999 absolute error = 0.006817 relative error = 0.6234 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.117 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=20091.7MB, alloc=44.3MB, time=252.75 x[1] = 1.7699 1.658 h = 0.003 0.006 y[1] (numeric) = -0.465605181224 0.993207918729 y[1] (closed_form) = -0.468736492021 0.987150533962 absolute error = 0.006819 relative error = 0.624 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.118 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=20137.4MB, alloc=44.3MB, time=253.32 x[1] = 1.7729 1.664 h = 0.0001 0.005 y[1] (numeric) = -0.46325551714 0.991861647277 y[1] (closed_form) = -0.466393020266 0.985811005465 absolute error = 0.006816 relative error = 0.625 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.124 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=20183.1MB, alloc=44.3MB, time=253.89 x[1] = 1.773 1.669 h = 0.0001 0.003 y[1] (numeric) = -0.461256811075 0.991711164379 y[1] (closed_form) = -0.464398404762 0.985660185935 absolute error = 0.006818 relative error = 0.6257 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.126 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=20228.8MB, alloc=44.3MB, time=254.45 x[1] = 1.7731 1.672 h = 0.001 0.001 y[1] (numeric) = -0.460064400423 0.991603873364 y[1] (closed_form) = -0.463207500967 0.985553053051 absolute error = 0.006818 relative error = 0.6261 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.127 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=20274.5MB, alloc=44.3MB, time=255.02 x[1] = 1.7741 1.673 h = 0.001 0.003 y[1] (numeric) = -0.459690002106 0.991184214617 y[1] (closed_form) = -0.462833031749 0.985133811846 absolute error = 0.006818 relative error = 0.6264 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.128 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=20320.3MB, alloc=44.3MB, time=255.58 x[1] = 1.7751 1.676 h = 0.0001 0.004 y[1] (numeric) = -0.458522540382 0.990720974848 y[1] (closed_form) = -0.461667280238 0.98467144645 absolute error = 0.006818 relative error = 0.6269 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.13 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=20365.9MB, alloc=44.3MB, time=256.15 x[1] = 1.7752 1.68 h = 0.003 0.006 y[1] (numeric) = -0.456943874236 0.990593027025 y[1] (closed_form) = -0.460091505423 0.984543269129 absolute error = 0.00682 relative error = 0.6275 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.132 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=20411.7MB, alloc=44.3MB, time=256.71 x[1] = 1.7782 1.686 h = 0.0001 0.005 y[1] (numeric) = -0.454649574521 0.989277728984 y[1] (closed_form) = -0.457803145818 0.983234551986 absolute error = 0.006817 relative error = 0.6285 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.137 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=20457.2MB, alloc=44.3MB, time=257.28 x[1] = 1.7783 1.691 h = 0.0001 0.003 y[1] (numeric) = -0.452697575279 0.989130365547 y[1] (closed_form) = -0.455855108456 0.983086899115 absolute error = 0.006819 relative error = 0.6292 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.139 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=20502.8MB, alloc=44.3MB, time=257.84 x[1] = 1.7784 1.694 h = 0.001 0.001 y[1] (numeric) = -0.451532989749 0.989025399132 y[1] (closed_form) = -0.454691980949 0.982982099573 absolute error = 0.006819 relative error = 0.6296 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.141 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=20548.5MB, alloc=44.3MB, time=258.40 x[1] = 1.7794 1.695 h = 0.0001 0.004 y[1] (numeric) = -0.451167366111 0.988615473536 y[1] (closed_form) = -0.454326285057 0.982572578163 absolute error = 0.006819 relative error = 0.6299 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.142 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=20594.3MB, alloc=44.3MB, time=258.97 x[1] = 1.7795 1.699 h = 0.003 0.006 y[1] (numeric) = -0.449620236254 0.988489719081 y[1] (closed_form) = -0.452782149218 0.982446417381 absolute error = 0.00682 relative error = 0.6305 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.144 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=20640.0MB, alloc=44.3MB, time=259.53 x[1] = 1.7825 1.705 h = 0.0001 0.005 y[1] (numeric) = -0.447372347153 0.98720001617 y[1] (closed_form) = -0.45053999177 0.981163161466 absolute error = 0.006817 relative error = 0.6314 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.149 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=20685.7MB, alloc=44.3MB, time=260.09 x[1] = 1.7826 1.71 h = 0.0001 0.003 y[1] (numeric) = -0.445459388589 0.987055019676 y[1] (closed_form) = -0.448630888856 0.981017914505 absolute error = 0.006819 relative error = 0.6322 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.151 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=20731.4MB, alloc=44.3MB, time=260.66 memory used=20776.9MB, alloc=44.3MB, time=261.22 x[1] = 1.7827 1.713 h = 0.001 0.001 y[1] (numeric) = -0.444318064852 0.986951851347 y[1] (closed_form) = -0.447490982803 0.980914920238 absolute error = 0.00682 relative error = 0.6326 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.152 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=20822.6MB, alloc=44.3MB, time=261.78 x[1] = 1.7837 1.714 h = 0.001 0.003 y[1] (numeric) = -0.443959824075 0.986550012915 y[1] (closed_form) = -0.44713266866 0.980513474943 absolute error = 0.00682 relative error = 0.6328 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.154 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=20868.3MB, alloc=44.3MB, time=262.35 x[1] = 1.7847 1.717 h = 0.0001 0.004 y[1] (numeric) = -0.442842416647 0.986106174822 y[1] (closed_form) = -0.446016859271 0.980070485711 absolute error = 0.00682 relative error = 0.6333 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.156 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=20913.9MB, alloc=44.3MB, time=262.91 x[1] = 1.7848 1.721 h = 0.003 0.006 y[1] (numeric) = -0.441331176009 0.985983222309 y[1] (closed_form) = -0.444508345824 0.979947360849 absolute error = 0.006821 relative error = 0.6339 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.158 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=20959.5MB, alloc=44.3MB, time=263.48 x[1] = 1.7878 1.727 h = 0.0001 0.005 y[1] (numeric) = -0.439134997242 0.984723493699 y[1] (closed_form) = -0.4423176703 0.978693923571 absolute error = 0.006818 relative error = 0.6348 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.163 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=21005.2MB, alloc=44.3MB, time=264.04 x[1] = 1.7879 1.732 h = 0.0001 0.003 y[1] (numeric) = -0.437266003452 0.984582103193 y[1] (closed_form) = -0.440452412625 0.978552322774 absolute error = 0.00682 relative error = 0.6355 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.165 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=21050.8MB, alloc=44.3MB, time=264.61 x[1] = 1.788 1.735 h = 0.001 0.001 y[1] (numeric) = -0.436150867639 0.984481519041 y[1] (closed_form) = -0.439338649305 0.978451919429 absolute error = 0.00682 relative error = 0.6359 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.166 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=21096.3MB, alloc=44.3MB, time=265.18 x[1] = 1.789 1.736 h = 0.001 0.003 y[1] (numeric) = -0.435800759203 0.984088976651 y[1] (closed_form) = -0.438988466611 0.978059757808 absolute error = 0.00682 relative error = 0.6362 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.168 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=21141.9MB, alloc=44.3MB, time=265.74 x[1] = 1.79 1.739 h = 0.0001 0.004 y[1] (numeric) = -0.434708872635 0.983655556075 y[1] (closed_form) = -0.437898121818 0.977627171726 absolute error = 0.00682 relative error = 0.6367 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.17 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=21187.6MB, alloc=44.3MB, time=266.31 x[1] = 1.7901 1.743 h = 0.003 0.006 y[1] (numeric) = -0.433232205216 0.983535781781 y[1] (closed_form) = -0.436424098016 0.977507251701 absolute error = 0.006821 relative error = 0.6372 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.172 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=21233.3MB, alloc=44.3MB, time=266.87 x[1] = 1.7931 1.749 h = 0.0001 0.005 y[1] (numeric) = -0.431085905371 0.982305474834 y[1] (closed_form) = -0.434283084728 0.976283083977 absolute error = 0.006818 relative error = 0.6381 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.177 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=21278.9MB, alloc=44.3MB, time=267.44 x[1] = 1.7932 1.754 h = 0.0001 0.003 y[1] (numeric) = -0.429259485431 0.98216789987 y[1] (closed_form) = -0.432460286015 0.976145335558 absolute error = 0.00682 relative error = 0.6388 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.179 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=21324.6MB, alloc=44.3MB, time=268.00 x[1] = 1.7933 1.757 h = 0.001 0.001 y[1] (numeric) = -0.428169707393 0.982070009515 y[1] (closed_form) = -0.431371837119 0.976047631829 absolute error = 0.006821 relative error = 0.6392 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.18 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=21370.1MB, alloc=44.3MB, time=268.57 x[1] = 1.7943 1.758 h = 0.001 0.003 y[1] (numeric) = -0.427827412622 0.981686534025 y[1] (closed_form) = -0.431029467411 0.975664525236 absolute error = 0.00682 relative error = 0.6394 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.182 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=21415.7MB, alloc=44.3MB, time=269.14 x[1] = 1.7953 1.761 h = 0.0001 0.004 y[1] (numeric) = -0.426760182635 0.981263392593 y[1] (closed_form) = -0.429963725498 0.975242203825 absolute error = 0.00682 relative error = 0.6399 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.184 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=21461.4MB, alloc=44.3MB, time=269.71 x[1] = 1.7954 1.765 h = 0.003 0.006 y[1] (numeric) = -0.425316998023 0.981146946228 y[1] (closed_form) = -0.428523104136 0.97512563613 absolute error = 0.006822 relative error = 0.6405 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.186 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=21507.0MB, alloc=44.3MB, time=270.27 x[1] = 1.7984 1.771 h = 0.0001 0.005 y[1] (numeric) = -0.423218829685 0.979945508471 y[1] (closed_form) = -0.426430016718 0.973930189051 absolute error = 0.006819 relative error = 0.6413 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.191 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=21552.6MB, alloc=44.3MB, time=270.84 x[1] = 1.7985 1.776 h = 0.0001 0.003 y[1] (numeric) = -0.421433648356 0.979811932365 y[1] (closed_form) = -0.424648346181 0.97379647324 absolute error = 0.006821 relative error = 0.642 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.193 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=21598.2MB, alloc=44.3MB, time=271.40 x[1] = 1.7986 1.779 h = 0.001 0.001 y[1] (numeric) = -0.420368431321 0.979716830491 y[1] (closed_form) = -0.423584416695 0.973701562961 absolute error = 0.006821 relative error = 0.6424 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.195 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=21643.7MB, alloc=44.3MB, time=271.97 x[1] = 1.7996 1.78 h = 0.001 0.003 y[1] (numeric) = -0.420033647712 0.979342198382 y[1] (closed_form) = -0.423249557661 0.973327288353 absolute error = 0.006821 relative error = 0.6426 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.196 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=21689.4MB, alloc=44.3MB, time=272.53 x[1] = 1.8006 1.783 h = 0.0001 0.004 y[1] (numeric) = -0.418990247849 0.978929192766 y[1] (closed_form) = -0.422207594604 0.972915088221 absolute error = 0.006821 relative error = 0.6431 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.198 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=21735.1MB, alloc=44.3MB, time=273.10 x[1] = 1.8007 1.787 h = 0.003 0.006 y[1] (numeric) = -0.417579499267 0.978816204284 y[1] (closed_form) = -0.420799331977 0.972802000765 absolute error = 0.006822 relative error = 0.6436 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.2 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=21780.7MB, alloc=44.3MB, time=273.66 x[1] = 1.8037 1.793 h = 0.0001 0.005 y[1] (numeric) = -0.415527794628 0.977643084723 y[1] (closed_form) = -0.418752513036 0.971634726889 absolute error = 0.006819 relative error = 0.6445 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.205 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=21826.3MB, alloc=44.3MB, time=274.22 x[1] = 1.8038 1.798 h = 0.0001 0.003 y[1] (numeric) = -0.413782569867 0.977513666793 y[1] (closed_form) = -0.417010692895 0.971505200155 absolute error = 0.006821 relative error = 0.6452 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.207 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=21871.9MB, alloc=44.3MB, time=274.78 x[1] = 1.8039 1.801 h = 0.001 0.001 y[1] (numeric) = -0.412741148938 0.97742143444 y[1] (closed_form) = -0.415970519599 0.97141316359 absolute error = 0.006821 relative error = 0.6455 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.209 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=21917.5MB, alloc=44.3MB, time=275.36 memory used=21963.3MB, alloc=44.3MB, time=275.92 x[1] = 1.8049 1.802 h = 0.0001 0.004 y[1] (numeric) = -0.412413589227 0.97705542777 y[1] (closed_form) = -0.415642884153 0.97104750348 absolute error = 0.006821 relative error = 0.6457 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.21 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=22009.0MB, alloc=44.3MB, time=276.48 x[1] = 1.805 1.806 h = 0.003 0.006 y[1] (numeric) = -0.411029836942 0.976945310203 y[1] (closed_form) = -0.41426171405 0.970937131103 absolute error = 0.006822 relative error = 0.6463 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.212 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=22054.7MB, alloc=44.3MB, time=277.05 x[1] = 1.808 1.812 h = 0.0001 0.005 y[1] (numeric) = -0.40901717734 0.975795598918 y[1] (closed_form) = -0.412253778322 0.969793145695 absolute error = 0.006819 relative error = 0.6471 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.217 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=22100.2MB, alloc=44.3MB, time=277.61 x[1] = 1.8081 1.817 h = 0.0001 0.003 y[1] (numeric) = -0.407305409808 0.975669414855 y[1] (closed_form) = -0.410545327624 0.969666878506 absolute error = 0.006821 relative error = 0.6478 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.219 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=22145.8MB, alloc=44.3MB, time=278.18 x[1] = 1.8082 1.82 h = 0.001 0.001 y[1] (numeric) = -0.40628391781 0.975579436219 y[1] (closed_form) = -0.409525050226 0.969577099152 absolute error = 0.006822 relative error = 0.6481 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.221 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=22191.4MB, alloc=44.3MB, time=278.74 x[1] = 1.8092 1.821 h = 0.001 0.003 y[1] (numeric) = -0.405962456472 0.975220602078 y[1] (closed_form) = -0.409203512888 0.969218602502 absolute error = 0.006821 relative error = 0.6484 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.222 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=22237.0MB, alloc=44.3MB, time=279.30 x[1] = 1.8102 1.824 h = 0.0001 0.004 y[1] (numeric) = -0.404961437576 0.974825799585 y[1] (closed_form) = -0.408203841272 0.968824578962 absolute error = 0.006821 relative error = 0.6488 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.224 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=22282.6MB, alloc=44.3MB, time=279.87 x[1] = 1.8103 1.828 h = 0.003 0.006 y[1] (numeric) = -0.403608444246 0.974719171757 y[1] (closed_form) = -0.406853198026 0.968717889671 absolute error = 0.006822 relative error = 0.6493 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.226 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=22328.2MB, alloc=44.3MB, time=280.44 x[1] = 1.8133 1.834 h = 0.0001 0.005 y[1] (numeric) = -0.401639336322 0.973596778972 y[1] (closed_form) = -0.404888636623 0.967601084211 absolute error = 0.00682 relative error = 0.6502 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.231 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=22373.9MB, alloc=44.3MB, time=281.00 x[1] = 1.8134 1.839 h = 0.0001 0.003 y[1] (numeric) = -0.39996527461 0.97347500646 y[1] (closed_form) = -0.403217793003 0.967479254685 absolute error = 0.006821 relative error = 0.6508 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.234 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=22419.7MB, alloc=44.3MB, time=281.57 x[1] = 1.8135 1.842 h = 0.001 0.001 y[1] (numeric) = -0.398966236028 0.973388024111 y[1] (closed_form) = -0.402219932024 0.967392474528 absolute error = 0.006822 relative error = 0.6511 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.235 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=22465.4MB, alloc=44.3MB, time=282.13 x[1] = 1.8145 1.843 h = 0.001 0.003 y[1] (numeric) = -0.398651499251 0.973037427555 y[1] (closed_form) = -0.401905119222 0.967042205312 absolute error = 0.006821 relative error = 0.6514 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.236 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=22510.9MB, alloc=44.3MB, time=282.70 x[1] = 1.8155 1.846 h = 0.0001 0.004 y[1] (numeric) = -0.397672136767 0.972652339161 y[1] (closed_form) = -0.400927059035 0.966657881343 absolute error = 0.006821 relative error = 0.6518 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.239 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=22556.6MB, alloc=44.3MB, time=283.26 x[1] = 1.8156 1.85 h = 0.003 0.006 y[1] (numeric) = -0.396348809606 0.972549457411 y[1] (closed_form) = -0.399606012742 0.96655495541 absolute error = 0.006822 relative error = 0.6523 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.24 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=22602.2MB, alloc=44.3MB, time=283.83 x[1] = 1.8186 1.856 h = 0.0001 0.005 y[1] (numeric) = -0.394421791247 0.97145384142 y[1] (closed_form) = -0.397683372364 0.965464791667 absolute error = 0.00682 relative error = 0.6531 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.246 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=22647.9MB, alloc=44.3MB, time=284.40 x[1] = 1.8187 1.861 h = 0.0001 0.003 y[1] (numeric) = -0.392784292519 0.971336581354 y[1] (closed_form) = -0.396048996754 0.965347498424 absolute error = 0.006821 relative error = 0.6537 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.248 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=22693.6MB, alloc=44.3MB, time=284.96 x[1] = 1.8188 1.864 h = 0.001 0.001 y[1] (numeric) = -0.391807025824 0.971252643209 y[1] (closed_form) = -0.395072872136 0.965263764788 absolute error = 0.006821 relative error = 0.654 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.249 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=22739.2MB, alloc=44.3MB, time=285.53 x[1] = 1.8198 1.865 h = 0.001 0.003 y[1] (numeric) = -0.391498765396 0.970910081762 y[1] (closed_form) = -0.394764535791 0.964921520929 absolute error = 0.006821 relative error = 0.6543 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.251 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=22784.9MB, alloc=44.3MB, time=286.09 x[1] = 1.8208 1.868 h = 0.0001 0.004 y[1] (numeric) = -0.390540362058 0.97053455182 y[1] (closed_form) = -0.39380739175 0.964546740953 absolute error = 0.006821 relative error = 0.6547 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.253 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=22830.5MB, alloc=44.3MB, time=286.66 x[1] = 1.8209 1.872 h = 0.003 0.006 y[1] (numeric) = -0.389245805017 0.970435484144 y[1] (closed_form) = -0.392515048966 0.964447644866 absolute error = 0.006822 relative error = 0.6552 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.255 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=22876.2MB, alloc=44.3MB, time=287.22 x[1] = 1.8239 1.878 h = 0.0001 0.005 y[1] (numeric) = -0.38735947897 0.969366108436 y[1] (closed_form) = -0.390632940673 0.963383589758 absolute error = 0.00682 relative error = 0.656 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.26 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=22921.9MB, alloc=44.3MB, time=287.78 x[1] = 1.824 1.883 h = 0.0001 0.003 y[1] (numeric) = -0.385757445004 0.969253444781 y[1] (closed_form) = -0.38903393846 0.96327091466 absolute error = 0.006821 relative error = 0.6566 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.262 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=22967.5MB, alloc=44.3MB, time=288.35 x[1] = 1.8241 1.886 h = 0.001 0.001 y[1] (numeric) = -0.384801295368 0.969172589202 y[1] (closed_form) = -0.388078896781 0.963190265368 absolute error = 0.006821 relative error = 0.6569 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.264 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=23013.1MB, alloc=44.3MB, time=288.91 x[1] = 1.8251 1.887 h = 0.001 0.003 y[1] (numeric) = -0.38449927525 0.968837865699 y[1] (closed_form) = -0.387776800971 0.962855850081 absolute error = 0.006821 relative error = 0.6571 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.265 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=23058.8MB, alloc=44.3MB, time=289.47 x[1] = 1.8261 1.89 h = 0.0001 0.004 y[1] (numeric) = -0.383561163347 0.96847173698 y[1] (closed_form) = -0.386839907251 0.962490456966 absolute error = 0.006821 relative error = 0.6576 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.267 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=23104.4MB, alloc=44.3MB, time=290.04 x[1] = 1.8262 1.894 h = 0.003 0.006 y[1] (numeric) = -0.382294515322 0.968376538685 y[1] (closed_form) = -0.385575409366 0.962395244632 absolute error = 0.006822 relative error = 0.658 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.269 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=23150.0MB, alloc=44.3MB, time=290.60 memory used=23195.7MB, alloc=44.3MB, time=291.16 x[1] = 1.8292 1.9 h = 0.0001 0.005 y[1] (numeric) = -0.380447545868 0.967332872605 y[1] (closed_form) = -0.383732505291 0.961356770885 absolute error = 0.006819 relative error = 0.6588 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.275 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=23241.4MB, alloc=44.3MB, time=291.73 x[1] = 1.8293 1.905 h = 0.0001 0.003 y[1] (numeric) = -0.378879921073 0.967224873871 y[1] (closed_form) = -0.382167824337 0.961248780498 absolute error = 0.006821 relative error = 0.6594 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.277 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=23287.0MB, alloc=44.3MB, time=292.29 x[1] = 1.8294 1.908 h = 0.001 0.001 y[1] (numeric) = -0.377944259175 0.967147130519 y[1] (closed_form) = -0.381233237619 0.961171244716 absolute error = 0.006821 relative error = 0.6597 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.278 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=23332.7MB, alloc=44.3MB, time=292.86 x[1] = 1.8304 1.909 h = 0.0001 0.004 y[1] (numeric) = -0.37764825482 0.966820053011 y[1] (closed_form) = -0.380937157903 0.960844466417 absolute error = 0.006821 relative error = 0.6599 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.28 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=23378.4MB, alloc=44.3MB, time=293.43 x[1] = 1.8305 1.913 h = 0.003 0.006 y[1] (numeric) = -0.376404870388 0.966728051406 y[1] (closed_form) = -0.379696012802 0.960752313085 absolute error = 0.006822 relative error = 0.6604 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.282 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=23424.0MB, alloc=44.3MB, time=293.99 x[1] = 1.8335 1.919 h = 0.0001 0.005 y[1] (numeric) = -0.37459105062 0.965705647027 y[1] (closed_form) = -0.377886131732 0.959734994991 absolute error = 0.00682 relative error = 0.6612 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.287 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=23469.5MB, alloc=44.3MB, time=294.56 x[1] = 1.8336 1.924 h = 0.0001 0.003 y[1] (numeric) = -0.373052286374 0.965601314238 y[1] (closed_form) = -0.376350238516 0.95963068713 absolute error = 0.006821 relative error = 0.6617 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.289 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=23515.0MB, alloc=44.3MB, time=295.12 x[1] = 1.8337 1.927 h = 0.001 0.001 y[1] (numeric) = -0.372133811737 0.965526033167 y[1] (closed_form) = -0.375432811882 0.959555614745 absolute error = 0.006821 relative error = 0.662 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.291 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=23560.7MB, alloc=44.3MB, time=295.68 x[1] = 1.8347 1.928 h = 0.001 0.003 y[1] (numeric) = -0.371842902104 0.965205319059 y[1] (closed_form) = -0.375141827149 0.959235192368 absolute error = 0.006821 relative error = 0.6622 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.292 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=23606.3MB, alloc=44.3MB, time=296.25 x[1] = 1.8357 1.931 h = 0.0001 0.004 y[1] (numeric) = -0.370940973482 0.964856037737 y[1] (closed_form) = -0.374241044726 0.958886620692 absolute error = 0.006821 relative error = 0.6627 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.294 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=23652.0MB, alloc=44.3MB, time=296.82 x[1] = 1.8358 1.935 h = 0.003 0.006 y[1] (numeric) = -0.369724126133 0.964767838006 y[1] (closed_form) = -0.37302623463 0.958798431 absolute error = 0.006822 relative error = 0.6631 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.296 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=23697.7MB, alloc=44.3MB, time=297.38 x[1] = 1.8388 1.941 h = 0.0001 0.005 y[1] (numeric) = -0.367947324555 0.963770187619 y[1] (closed_form) = -0.371253232879 0.957805744684 absolute error = 0.006819 relative error = 0.6639 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.302 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=23743.3MB, alloc=44.3MB, time=297.95 x[1] = 1.8389 1.946 h = 0.0001 0.003 y[1] (numeric) = -0.366441112753 0.963670622121 y[1] (closed_form) = -0.369749810216 0.95770622063 absolute error = 0.006821 relative error = 0.6644 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.304 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=23789.0MB, alloc=44.3MB, time=298.51 x[1] = 1.839 1.949 h = 0.001 0.001 y[1] (numeric) = -0.365542019001 0.963598494757 y[1] (closed_form) = -0.368851734027 0.957634302422 absolute error = 0.006821 relative error = 0.6647 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.305 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=23834.7MB, alloc=44.3MB, time=299.08 x[1] = 1.84 1.95 h = 0.001 0.003 y[1] (numeric) = -0.365256733582 0.963285085398 y[1] (closed_form) = -0.368566374013 0.957321176419 absolute error = 0.006821 relative error = 0.6649 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.307 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=23880.4MB, alloc=44.3MB, time=299.64 x[1] = 1.841 1.953 h = 0.0001 0.004 y[1] (numeric) = -0.364373334927 0.962944757866 y[1] (closed_form) = -0.367684085322 0.956981544535 absolute error = 0.006821 relative error = 0.6653 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.309 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=23926.0MB, alloc=44.3MB, time=300.21 x[1] = 1.8411 1.957 h = 0.003 0.006 y[1] (numeric) = -0.363182112739 0.962860534264 y[1] (closed_form) = -0.366494842829 0.956897341876 absolute error = 0.006822 relative error = 0.6657 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.311 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=23971.7MB, alloc=44.3MB, time=300.78 x[1] = 1.8441 1.963 h = 0.0001 0.005 y[1] (numeric) = -0.361441153061 0.961887126192 y[1] (closed_form) = -0.364757550775 0.955928778876 absolute error = 0.006819 relative error = 0.6665 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.316 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=24017.3MB, alloc=44.3MB, time=301.34 x[1] = 1.8442 1.968 h = 0.0001 0.003 y[1] (numeric) = -0.359966549772 0.961792358959 y[1] (closed_form) = -0.363285657785 0.955834068049 absolute error = 0.00682 relative error = 0.667 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.319 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=24062.8MB, alloc=44.3MB, time=301.90 x[1] = 1.8443 1.971 h = 0.001 0.001 y[1] (numeric) = -0.359086274367 0.961723393898 y[1] (closed_form) = -0.36240637068 0.955765312239 absolute error = 0.006821 relative error = 0.6673 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.32 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=24108.4MB, alloc=44.3MB, time=302.47 x[1] = 1.8453 1.972 h = 0.001 0.003 y[1] (numeric) = -0.358806418153 0.961417111587 y[1] (closed_form) = -0.362126440454 0.955459305231 absolute error = 0.00682 relative error = 0.6675 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.321 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=24154.1MB, alloc=44.3MB, time=303.03 x[1] = 1.8463 1.975 h = 0.0001 0.004 y[1] (numeric) = -0.35794098296 0.961085578403 y[1] (closed_form) = -0.361262080535 0.955128453863 absolute error = 0.00682 relative error = 0.6679 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.324 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=24199.7MB, alloc=44.3MB, time=303.60 x[1] = 1.8464 1.979 h = 0.003 0.006 y[1] (numeric) = -0.356774645654 0.961005346602 y[1] (closed_form) = -0.360097667479 0.955048252874 absolute error = 0.006821 relative error = 0.6683 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.326 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=24245.4MB, alloc=44.3MB, time=304.16 x[1] = 1.8494 1.985 h = 0.0001 0.005 y[1] (numeric) = -0.355068401957 0.960055676801 y[1] (closed_form) = -0.358394965508 0.954103312295 absolute error = 0.006819 relative error = 0.669 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.331 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=24291.1MB, alloc=44.3MB, time=304.72 x[1] = 1.8495 1.99 h = 0.0001 0.003 y[1] (numeric) = -0.353624499057 0.959965728021 y[1] (closed_form) = -0.356953696988 0.954013433447 absolute error = 0.00682 relative error = 0.6695 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.333 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=24336.9MB, alloc=44.3MB, time=305.29 x[1] = 1.8496 1.993 h = 0.001 0.001 y[1] (numeric) = -0.352762500865 0.959899927844 y[1] (closed_form) = -0.356092658958 0.953947842277 absolute error = 0.00682 relative error = 0.6698 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.335 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=24382.6MB, alloc=44.3MB, time=305.85 x[1] = 1.8506 1.994 h = 0.001 0.003 y[1] (numeric) = -0.352487888078 0.959600599699 y[1] (closed_form) = -0.355817972812 0.953648781687 absolute error = 0.00682 relative error = 0.67 % Correct digits = 2 memory used=24428.4MB, alloc=44.3MB, time=306.42 Radius of convergence (given) for eq 1 = 4.336 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=24474.0MB, alloc=44.3MB, time=306.98 x[1] = 1.8516 1.997 h = 0.0001 0.004 y[1] (numeric) = -0.351639873052 0.959277701797 y[1] (closed_form) = -0.354970999837 0.953326551944 absolute error = 0.00682 relative error = 0.6704 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.339 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=24519.8MB, alloc=44.3MB, time=307.55 x[1] = 1.8517 2.001 h = 0.003 0.006 y[1] (numeric) = -0.350497708384 0.959201469432 y[1] (closed_form) = -0.353830705999 0.953250359307 absolute error = 0.006821 relative error = 0.6708 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.34 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=24565.4MB, alloc=44.3MB, time=308.12 x[1] = 1.8547 2.007 h = 0.0001 0.005 y[1] (numeric) = -0.348825102612 0.958275041773 y[1] (closed_form) = -0.352161522013 0.952328548099 absolute error = 0.006819 relative error = 0.6715 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.346 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=24611.0MB, alloc=44.3MB, time=308.68 x[1] = 1.8548 2.012 h = 0.0001 0.003 y[1] (numeric) = -0.347411026207 0.958189921827 y[1] (closed_form) = -0.350750006867 0.952243510282 absolute error = 0.00682 relative error = 0.672 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.348 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=24656.7MB, alloc=44.3MB, time=309.24 x[1] = 1.8549 2.015 h = 0.001 0.001 y[1] (numeric) = -0.34656678455 0.958127283661 y[1] (closed_form) = -0.349906698311 0.952181080572 absolute error = 0.00682 relative error = 0.6723 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.35 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=24702.2MB, alloc=44.3MB, time=309.82 x[1] = 1.8559 2.016 h = 0.0001 0.004 y[1] (numeric) = -0.346297238143 0.957834741504 y[1] (closed_form) = -0.349637079258 0.951888798516 absolute error = 0.00682 relative error = 0.6725 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.351 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=24747.9MB, alloc=44.3MB, time=310.38 x[1] = 1.856 2.02 h = 0.003 0.006 y[1] (numeric) = -0.345175251933 0.95776180499 y[1] (closed_form) = -0.348517045868 0.95181577966 absolute error = 0.006821 relative error = 0.6729 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.353 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=24793.5MB, alloc=44.3MB, time=310.94 x[1] = 1.859 2.026 h = 0.0001 0.005 y[1] (numeric) = -0.343531041045 0.956854608254 y[1] (closed_form) = -0.346876156759 0.950913106056 absolute error = 0.006818 relative error = 0.6736 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.359 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=24839.1MB, alloc=44.3MB, time=311.51 x[1] = 1.8591 2.031 h = 0.0001 0.003 y[1] (numeric) = -0.342142021058 0.956773304556 y[1] (closed_form) = -0.345489637364 0.950831894828 absolute error = 0.00682 relative error = 0.6741 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.361 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=24884.8MB, alloc=44.3MB, time=312.07 x[1] = 1.8592 2.034 h = 0.001 0.001 y[1] (numeric) = -0.341312699174 0.956713178621 y[1] (closed_form) = -0.344661226101 0.950771976958 absolute error = 0.00682 relative error = 0.6744 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.362 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=24930.4MB, alloc=44.3MB, time=312.66 x[1] = 1.8602 2.035 h = 0.001 0.003 y[1] (numeric) = -0.341047456473 0.956426288818 y[1] (closed_form) = -0.34439591133 0.950485341054 absolute error = 0.00682 relative error = 0.6746 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.364 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=24976.0MB, alloc=44.3MB, time=313.22 x[1] = 1.8612 2.038 h = 0.0001 0.004 y[1] (numeric) = -0.340230583651 0.956118844966 y[1] (closed_form) = -0.343580022239 0.950178540811 absolute error = 0.00682 relative error = 0.6749 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.366 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=25021.7MB, alloc=44.3MB, time=313.78 x[1] = 1.8613 2.042 h = 0.003 0.006 y[1] (numeric) = -0.339131641419 0.956049781313 y[1] (closed_form) = -0.342482856617 0.950109531758 absolute error = 0.00682 relative error = 0.6753 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.368 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=25067.4MB, alloc=44.3MB, time=314.35 x[1] = 1.8643 2.048 h = 0.0001 0.005 y[1] (numeric) = -0.337519176101 0.955164936951 y[1] (closed_form) = -0.340873603418 0.949229103241 absolute error = 0.006818 relative error = 0.676 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.373 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=25112.9MB, alloc=44.3MB, time=314.92 x[1] = 1.8644 2.053 h = 0.0001 0.003 y[1] (numeric) = -0.336158442406 0.955088467826 y[1] (closed_form) = -0.339515302073 0.949152736542 absolute error = 0.006819 relative error = 0.6765 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.376 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=25158.5MB, alloc=44.3MB, time=315.48 x[1] = 1.8645 2.056 h = 0.001 0.001 y[1] (numeric) = -0.335345959429 0.95503149144 y[1] (closed_form) = -0.338703704529 0.949095967164 absolute error = 0.006819 relative error = 0.6767 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.377 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=25204.2MB, alloc=44.3MB, time=316.04 x[1] = 1.8655 2.057 h = 0.001 0.003 y[1] (numeric) = -0.335085473426 0.954751088703 y[1] (closed_form) = -0.33844314727 0.94881581138 absolute error = 0.006819 relative error = 0.6769 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.379 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=25249.8MB, alloc=44.3MB, time=316.61 x[1] = 1.8665 2.06 h = 0.0001 0.004 y[1] (numeric) = -0.334284583141 0.954451835126 y[1] (closed_form) = -0.337643211306 0.948517188296 absolute error = 0.006819 relative error = 0.6773 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.381 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=25295.5MB, alloc=44.3MB, time=317.18 x[1] = 1.8666 2.064 h = 0.003 0.006 y[1] (numeric) = -0.333207919839 0.954386762214 y[1] (closed_form) = -0.336568276519 0.948452176525 absolute error = 0.00682 relative error = 0.6777 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.383 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=25341.2MB, alloc=44.3MB, time=317.74 x[1] = 1.8696 2.07 h = 0.0001 0.005 y[1] (numeric) = -0.331626246366 0.953523797352 y[1] (closed_form) = -0.334989710592 0.947593523103 absolute error = 0.006818 relative error = 0.6783 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.388 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=25386.7MB, alloc=44.3MB, time=318.31 x[1] = 1.8697 2.075 h = 0.0001 0.003 y[1] (numeric) = -0.330293014866 0.953452149472 y[1] (closed_form) = -0.333658845671 0.947521986545 absolute error = 0.006819 relative error = 0.6788 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.391 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=25432.3MB, alloc=44.3MB, time=318.88 x[1] = 1.8698 2.078 h = 0.001 0.001 y[1] (numeric) = -0.329496903767 0.95339830665 y[1] (closed_form) = -0.332863595763 0.947468349444 absolute error = 0.006819 relative error = 0.679 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.392 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=25478.1MB, alloc=44.3MB, time=319.44 x[1] = 1.8708 2.079 h = 0.001 0.003 y[1] (numeric) = -0.32924101993 0.953124235543 y[1] (closed_form) = -0.332607641527 0.947194518602 absolute error = 0.006819 relative error = 0.6792 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.394 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=25523.7MB, alloc=44.3MB, time=320.00 x[1] = 1.8718 2.082 h = 0.0001 0.004 y[1] (numeric) = -0.328455648591 0.952833016719 y[1] (closed_form) = -0.331823196308 0.946903917363 absolute error = 0.006819 relative error = 0.6796 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.396 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=25569.3MB, alloc=44.3MB, time=320.56 x[1] = 1.8719 2.086 h = 0.003 0.006 y[1] (numeric) = -0.327400649088 0.9527719173 y[1] (closed_form) = -0.330769878943 0.946842884921 absolute error = 0.006819 relative error = 0.6799 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.398 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=25615.0MB, alloc=44.3MB, time=321.13 x[1] = 1.8749 2.092 h = 0.0001 0.005 y[1] (numeric) = -0.325848853114 0.951930367633 y[1] (closed_form) = -0.329221090754 0.946005545099 absolute error = 0.006817 relative error = 0.6806 % Correct digits = 2 memory used=25660.7MB, alloc=44.3MB, time=321.69 Radius of convergence (given) for eq 1 = 4.404 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=25706.1MB, alloc=44.3MB, time=322.26 x[1] = 1.875 2.097 h = 0.0001 0.003 y[1] (numeric) = -0.324542368537 0.951863520953 y[1] (closed_form) = -0.327916909354 0.945938817657 absolute error = 0.006818 relative error = 0.681 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.406 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=25751.8MB, alloc=44.3MB, time=322.82 x[1] = 1.8751 2.1 h = 0.001 0.001 y[1] (numeric) = -0.323762179503 0.951812792027 y[1] (closed_form) = -0.327137558171 0.94588829296 absolute error = 0.006819 relative error = 0.6813 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.408 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=25797.5MB, alloc=44.3MB, time=323.39 x[1] = 1.8761 2.101 h = 0.001 0.003 y[1] (numeric) = -0.323510750354 0.951544901384 y[1] (closed_form) = -0.326886059519 0.945620636139 absolute error = 0.006818 relative error = 0.6815 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.409 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=25843.1MB, alloc=44.3MB, time=323.96 x[1] = 1.8771 2.104 h = 0.0001 0.004 y[1] (numeric) = -0.3227404527 0.951261563244 y[1] (closed_form) = -0.326116660932 0.94533790289 absolute error = 0.006818 relative error = 0.6818 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.411 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=25888.7MB, alloc=44.3MB, time=324.52 x[1] = 1.8772 2.108 h = 0.003 0.006 y[1] (numeric) = -0.321706524434 0.951204415115 y[1] (closed_form) = -0.325084370073 0.945280826922 absolute error = 0.006819 relative error = 0.6822 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.413 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=25934.3MB, alloc=44.3MB, time=325.08 x[1] = 1.8802 2.114 h = 0.0001 0.005 y[1] (numeric) = -0.320183729075 0.950383824971 y[1] (closed_form) = -0.323564487298 0.944464347768 absolute error = 0.006817 relative error = 0.6828 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.419 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=25979.9MB, alloc=44.3MB, time=325.65 x[1] = 1.8803 2.119 h = 0.0001 0.003 y[1] (numeric) = -0.31890326373 0.950321753378 y[1] (closed_form) = -0.322286263995 0.94440240242 absolute error = 0.006818 relative error = 0.6832 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.421 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=26025.5MB, alloc=44.3MB, time=326.21 x[1] = 1.8804 2.122 h = 0.001 0.001 y[1] (numeric) = -0.318138563411 0.950274115369 y[1] (closed_form) = -0.321522379053 0.944354966964 absolute error = 0.006818 relative error = 0.6835 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.423 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=26071.2MB, alloc=44.3MB, time=326.78 x[1] = 1.8814 2.123 h = 0.0001 0.004 y[1] (numeric) = -0.317891448157 0.950012258179 y[1] (closed_form) = -0.321275195224 0.944093337387 absolute error = 0.006818 relative error = 0.6837 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.424 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=26116.8MB, alloc=44.3MB, time=327.35 x[1] = 1.8815 2.127 h = 0.003 0.006 y[1] (numeric) = -0.316875133856 0.94995836132 y[1] (closed_form) = -0.320260593228 0.944039404044 absolute error = 0.006819 relative error = 0.684 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.426 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=26162.4MB, alloc=44.3MB, time=327.92 x[1] = 1.8845 2.133 h = 0.0001 0.005 y[1] (numeric) = -0.315376868789 0.949155122263 y[1] (closed_form) = -0.318765161131 0.943240194091 absolute error = 0.006817 relative error = 0.6846 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.432 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=26208.0MB, alloc=44.3MB, time=328.48 x[1] = 1.8846 2.138 h = 0.0001 0.003 y[1] (numeric) = -0.314118293752 0.949096837161 y[1] (closed_form) = -0.31750877733 0.943182041287 absolute error = 0.006818 relative error = 0.6851 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.434 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=26253.7MB, alloc=44.3MB, time=329.05 x[1] = 1.8847 2.141 h = 0.001 0.001 y[1] (numeric) = -0.313366627031 0.949051661262 y[1] (closed_form) = -0.316757907279 0.943137066619 absolute error = 0.006818 relative error = 0.6853 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.436 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=26299.2MB, alloc=44.3MB, time=329.61 x[1] = 1.8857 2.142 h = 0.001 0.003 y[1] (numeric) = -0.313123186697 0.94879483361 y[1] (closed_form) = -0.316514399121 0.942880461406 absolute error = 0.006818 relative error = 0.6855 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.437 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=26344.9MB, alloc=44.3MB, time=330.19 x[1] = 1.8867 2.145 h = 0.0001 0.004 y[1] (numeric) = -0.312379901434 0.94852558726 y[1] (closed_form) = -0.315771965317 0.942611797194 absolute error = 0.006818 relative error = 0.6858 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.439 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=26390.6MB, alloc=44.3MB, time=330.75 x[1] = 1.8868 2.149 h = 0.003 0.006 y[1] (numeric) = -0.311383724217 0.948475482166 y[1] (closed_form) = -0.314777346463 0.942561772827 absolute error = 0.006818 relative error = 0.6861 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.441 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=26436.3MB, alloc=44.3MB, time=331.32 x[1] = 1.8898 2.155 h = 0.0001 0.005 y[1] (numeric) = -0.309912916485 0.947692387295 y[1] (closed_form) = -0.313309284383 0.941782613064 absolute error = 0.006816 relative error = 0.6868 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.447 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=26481.9MB, alloc=44.3MB, time=331.89 x[1] = 1.8899 2.16 h = 0.0001 0.003 y[1] (numeric) = -0.308679075537 0.947638822471 y[1] (closed_form) = -0.312077577499 0.941729186014 absolute error = 0.006817 relative error = 0.6871 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.449 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=26527.5MB, alloc=44.3MB, time=332.45 x[1] = 1.89 2.163 h = 0.001 0.001 y[1] (numeric) = -0.307942132235 0.947596691789 y[1] (closed_form) = -0.311341409901 0.941687254582 absolute error = 0.006817 relative error = 0.6874 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.451 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=26573.2MB, alloc=44.3MB, time=333.02 x[1] = 1.891 2.164 h = 0.001 0.003 y[1] (numeric) = -0.307702758773 0.94734563621 y[1] (closed_form) = -0.311101969594 0.941436415646 absolute error = 0.006817 relative error = 0.6876 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.452 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=26618.8MB, alloc=44.3MB, time=333.58 x[1] = 1.892 2.167 h = 0.0001 0.004 y[1] (numeric) = -0.306973365374 0.947083843686 y[1] (closed_form) = -0.310373403601 0.941175193178 absolute error = 0.006817 relative error = 0.6879 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.455 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=26664.4MB, alloc=44.3MB, time=334.14 x[1] = 1.8921 2.171 h = 0.003 0.006 y[1] (numeric) = -0.305996679887 0.947037609433 y[1] (closed_form) = -0.309398236078 0.941129043213 absolute error = 0.006818 relative error = 0.6882 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.457 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=26710.1MB, alloc=44.3MB, time=334.71 x[1] = 1.8951 2.177 h = 0.0001 0.005 y[1] (numeric) = -0.304552550211 0.946274227512 y[1] (closed_form) = -0.307956768641 0.940369504944 absolute error = 0.006816 relative error = 0.6888 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.462 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=26755.6MB, alloc=44.3MB, time=335.27 x[1] = 1.8952 2.182 h = 0.0001 0.003 y[1] (numeric) = -0.303342788138 0.946225342313 y[1] (closed_form) = -0.30674908547 0.940320762274 absolute error = 0.006817 relative error = 0.6892 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.465 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=26801.3MB, alloc=44.3MB, time=335.83 x[1] = 1.8953 2.185 h = 0.001 0.001 y[1] (numeric) = -0.302620178174 0.946186226002 y[1] (closed_form) = -0.306027231002 0.940281843099 absolute error = 0.006817 relative error = 0.6894 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.466 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=26847.0MB, alloc=44.3MB, time=336.39 memory used=26892.8MB, alloc=44.3MB, time=336.96 x[1] = 1.8963 2.186 h = 0.001 0.003 y[1] (numeric) = -0.302384748084 0.945940806684 y[1] (closed_form) = -0.305791735069 0.940036634835 absolute error = 0.006817 relative error = 0.6896 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.468 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=26938.3MB, alloc=44.3MB, time=337.52 x[1] = 1.8973 2.189 h = 0.0001 0.004 y[1] (numeric) = -0.301668864425 0.945686320554 y[1] (closed_form) = -0.305076655713 0.9397827069 absolute error = 0.006817 relative error = 0.6899 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.47 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=26984.0MB, alloc=44.3MB, time=338.10 x[1] = 1.8974 2.193 h = 0.003 0.006 y[1] (numeric) = -0.300711156453 0.945643919815 y[1] (closed_form) = -0.304120426707 0.93974039353 absolute error = 0.006817 relative error = 0.6902 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.472 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=27029.7MB, alloc=44.3MB, time=338.66 x[1] = 1.9004 2.199 h = 0.0001 0.005 y[1] (numeric) = -0.299292956541 0.944899828264 y[1] (closed_form) = -0.302704809324 0.939000056647 absolute error = 0.006815 relative error = 0.6908 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.478 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=27075.3MB, alloc=44.3MB, time=339.23 x[1] = 1.9005 2.204 h = 0.0001 0.003 y[1] (numeric) = -0.298106641432 0.944855578018 y[1] (closed_form) = -0.301520519878 0.938955953015 absolute error = 0.006816 relative error = 0.6912 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.48 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=27121.0MB, alloc=44.3MB, time=339.80 x[1] = 1.9006 2.207 h = 0.001 0.001 y[1] (numeric) = -0.297397988625 0.944819443088 y[1] (closed_form) = -0.300812603089 0.938920012989 absolute error = 0.006816 relative error = 0.6914 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.482 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=27166.7MB, alloc=44.3MB, time=340.36 x[1] = 1.9016 2.208 h = 0.001 0.003 y[1] (numeric) = -0.297166383843 0.944579527949 y[1] (closed_form) = -0.300580933482 0.938680303513 absolute error = 0.006816 relative error = 0.6916 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.483 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=27212.2MB, alloc=44.3MB, time=340.92 x[1] = 1.9026 2.211 h = 0.0001 0.004 y[1] (numeric) = -0.29646364236 0.944332202784 y[1] (closed_form) = -0.299878974108 0.938433524904 absolute error = 0.006816 relative error = 0.6919 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.485 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=27257.8MB, alloc=44.3MB, time=341.48 x[1] = 1.9027 2.215 h = 0.003 0.006 y[1] (numeric) = -0.295524415933 0.944293595311 y[1] (closed_form) = -0.298941188988 0.938395007438 absolute error = 0.006817 relative error = 0.6922 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.487 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=27303.3MB, alloc=44.3MB, time=342.05 x[1] = 1.9057 2.221 h = 0.0001 0.005 y[1] (numeric) = -0.294131427016 0.943568380156 y[1] (closed_form) = -0.297550706404 0.937673460367 absolute error = 0.006815 relative error = 0.6927 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.493 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=27349.0MB, alloc=44.3MB, time=342.61 x[1] = 1.9058 2.226 h = 0.0001 0.003 y[1] (numeric) = -0.292967949271 0.943528716592 y[1] (closed_form) = -0.296389202928 0.937633946887 absolute error = 0.006816 relative error = 0.6931 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.496 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=27394.6MB, alloc=44.3MB, time=343.18 x[1] = 1.9059 2.229 h = 0.001 0.001 y[1] (numeric) = -0.292272890754 0.943495528153 y[1] (closed_form) = -0.295694861647 0.937600951016 absolute error = 0.006816 relative error = 0.6933 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.497 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=27440.3MB, alloc=44.3MB, time=343.74 x[1] = 1.9069 2.23 h = 0.0001 0.004 y[1] (numeric) = -0.29204499837 0.943260988734 y[1] (closed_form) = -0.295466905471 0.937366612058 absolute error = 0.006816 relative error = 0.6935 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.499 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=27485.9MB, alloc=44.3MB, time=344.31 x[1] = 1.907 2.234 h = 0.003 0.006 y[1] (numeric) = -0.291121241477 0.943225499185 y[1] (closed_form) = -0.294544657978 0.937331115419 absolute error = 0.006816 relative error = 0.6938 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.501 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=27531.5MB, alloc=44.3MB, time=344.87 x[1] = 1.91 2.24 h = 0.0001 0.005 y[1] (numeric) = -0.289749617595 0.94251591804 y[1] (closed_form) = -0.293175476521 0.936625130555 absolute error = 0.006815 relative error = 0.6943 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.506 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=27577.2MB, alloc=44.3MB, time=345.44 x[1] = 1.9101 2.245 h = 0.0001 0.003 y[1] (numeric) = -0.288605379479 0.942479898878 y[1] (closed_form) = -0.292033169889 0.936589264591 absolute error = 0.006815 relative error = 0.6947 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.509 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=27622.8MB, alloc=44.3MB, time=346.00 x[1] = 1.9102 2.248 h = 0.001 0.001 y[1] (numeric) = -0.28792177615 0.942449061164 y[1] (closed_form) = -0.291350268136 0.936558617571 absolute error = 0.006816 relative error = 0.6949 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.51 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=27668.6MB, alloc=44.3MB, time=346.56 x[1] = 1.9112 2.249 h = 0.001 0.003 y[1] (numeric) = -0.287697054621 0.942219006325 y[1] (closed_form) = -0.291125483654 0.936328758851 absolute error = 0.006815 relative error = 0.6951 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.512 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=27714.3MB, alloc=44.3MB, time=347.13 x[1] = 1.9122 2.252 h = 0.0001 0.004 y[1] (numeric) = -0.287017917826 0.941984479254 y[1] (closed_form) = -0.29044708981 0.93609475751 absolute error = 0.006815 relative error = 0.6954 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.514 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=27759.9MB, alloc=44.3MB, time=347.69 x[1] = 1.9123 2.256 h = 0.003 0.006 y[1] (numeric) = -0.28611186444 0.941952607347 y[1] (closed_form) = -0.28954241106 0.936062979867 absolute error = 0.006816 relative error = 0.6956 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.516 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=27805.5MB, alloc=44.3MB, time=348.26 x[1] = 1.9153 2.262 h = 0.0001 0.005 y[1] (numeric) = -0.284764183272 0.941261162745 y[1] (closed_form) = -0.288197102209 0.935375049216 absolute error = 0.006814 relative error = 0.6962 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.522 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=27851.1MB, alloc=44.3MB, time=348.82 x[1] = 1.9154 2.267 h = 0.0001 0.003 y[1] (numeric) = -0.283641703738 0.941229638876 y[1] (closed_form) = -0.287076505994 0.935343680971 absolute error = 0.006815 relative error = 0.6965 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.524 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=27896.8MB, alloc=44.3MB, time=349.38 x[1] = 1.9155 2.27 h = 0.001 0.001 y[1] (numeric) = -0.282971052551 0.941201682391 y[1] (closed_form) = -0.286406538818 0.935315912673 absolute error = 0.006815 relative error = 0.6967 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.526 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=27942.6MB, alloc=44.3MB, time=349.95 x[1] = 1.9165 2.271 h = 0.001 0.003 y[1] (numeric) = -0.282749844721 0.940976774737 y[1] (closed_form) = -0.286185269089 0.93509119627 absolute error = 0.006815 relative error = 0.6969 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.527 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=27988.3MB, alloc=44.3MB, time=350.52 x[1] = 1.9175 2.274 h = 0.0001 0.004 y[1] (numeric) = -0.282082871563 0.940749008046 y[1] (closed_form) = -0.285519019059 0.934863944292 absolute error = 0.006815 relative error = 0.6972 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.53 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=28034.0MB, alloc=44.3MB, time=351.08 x[1] = 1.9176 2.278 h = 0.003 0.006 y[1] (numeric) = -0.281193974291 0.940720806138 y[1] (closed_form) = -0.284631462303 0.934835838184 absolute error = 0.006815 relative error = 0.6974 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.532 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=28079.7MB, alloc=44.3MB, time=351.64 x[1] = 1.9206 2.284 h = 0.0001 0.005 y[1] (numeric) = -0.279869594204 0.940047108006 y[1] (closed_form) = -0.283309387448 0.934165573886 absolute error = 0.006814 relative error = 0.698 % Correct digits = 2 memory used=28125.6MB, alloc=44.3MB, time=352.21 Radius of convergence (given) for eq 1 = 4.537 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=28171.3MB, alloc=44.3MB, time=352.78 x[1] = 1.9207 2.289 h = 0.0001 0.003 y[1] (numeric) = -0.278768322412 0.940020022701 y[1] (closed_form) = -0.282209952447 0.934138646143 absolute error = 0.006814 relative error = 0.6983 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.54 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=28216.8MB, alloc=44.3MB, time=353.35 x[1] = 1.9208 2.292 h = 0.001 0.001 y[1] (numeric) = -0.278110295549 0.939994908143 y[1] (closed_form) = -0.281552592645 0.934113717195 absolute error = 0.006815 relative error = 0.6985 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.542 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=28262.5MB, alloc=44.3MB, time=353.92 x[1] = 1.9218 2.293 h = 0.001 0.003 y[1] (numeric) = -0.277892501893 0.939775028958 y[1] (closed_form) = -0.281334738151 0.933894024561 absolute error = 0.006814 relative error = 0.6987 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.543 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=28308.1MB, alloc=44.3MB, time=354.48 x[1] = 1.9228 2.296 h = 0.0001 0.004 y[1] (numeric) = -0.277237375128 0.939553885327 y[1] (closed_form) = -0.280680315447 0.933673384845 absolute error = 0.006814 relative error = 0.6989 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.545 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=28353.7MB, alloc=44.3MB, time=355.04 x[1] = 1.9229 2.3 h = 0.003 0.006 y[1] (numeric) = -0.27636520149 0.939529304499 y[1] (closed_form) = -0.279809449346 0.933648901028 absolute error = 0.006815 relative error = 0.6992 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.547 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=28399.3MB, alloc=44.3MB, time=355.61 x[1] = 1.9259 2.306 h = 0.0001 0.005 y[1] (numeric) = -0.275063505401 0.938872971051 y[1] (closed_form) = -0.278509994275 0.932995923447 absolute error = 0.006813 relative error = 0.6997 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.553 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=28445.0MB, alloc=44.3MB, time=356.17 x[1] = 1.926 2.311 h = 0.0001 0.003 y[1] (numeric) = -0.273982909432 0.938850265342 y[1] (closed_form) = -0.277431190138 0.932973376787 absolute error = 0.006814 relative error = 0.7 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.556 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=28490.6MB, alloc=44.3MB, time=356.74 x[1] = 1.9261 2.314 h = 0.001 0.001 y[1] (numeric) = -0.273337190356 0.938827952275 y[1] (closed_form) = -0.276786121763 0.932951246691 absolute error = 0.006814 relative error = 0.7002 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.557 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=28536.4MB, alloc=44.3MB, time=357.30 x[1] = 1.9271 2.315 h = 0.001 0.003 y[1] (numeric) = -0.273122715567 0.938612986076 y[1] (closed_form) = -0.276571587201 0.932736462503 absolute error = 0.006814 relative error = 0.7004 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.559 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=28582.1MB, alloc=44.3MB, time=357.87 x[1] = 1.9281 2.318 h = 0.0001 0.004 y[1] (numeric) = -0.272479129591 0.938398330415 y[1] (closed_form) = -0.275928686941 0.932522300177 absolute error = 0.006814 relative error = 0.7007 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.561 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=28627.7MB, alloc=44.3MB, time=358.44 x[1] = 1.9282 2.322 h = 0.003 0.006 y[1] (numeric) = -0.271623261925 0.938377320165 y[1] (closed_form) = -0.27507409493 0.932501387851 absolute error = 0.006814 relative error = 0.7009 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.563 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=28673.1MB, alloc=44.3MB, time=359.00 x[1] = 1.9312 2.328 h = 0.0001 0.005 y[1] (numeric) = -0.270343656172 0.937737977793 y[1] (closed_form) = -0.273796668705 0.931865325466 absolute error = 0.006813 relative error = 0.7014 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.569 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=28718.8MB, alloc=44.3MB, time=359.56 x[1] = 1.9313 2.333 h = 0.0001 0.003 y[1] (numeric) = -0.269283222244 0.937719590752 y[1] (closed_form) = -0.272737983158 0.931847098545 absolute error = 0.006813 relative error = 0.7017 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.571 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=28764.3MB, alloc=44.3MB, time=360.13 x[1] = 1.9314 2.336 h = 0.001 0.001 y[1] (numeric) = -0.268649505233 0.937700037764 y[1] (closed_form) = -0.272104901052 0.931827725837 absolute error = 0.006814 relative error = 0.7019 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.573 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=28810.0MB, alloc=44.3MB, time=360.69 x[1] = 1.9324 2.337 h = 0.0001 0.004 y[1] (numeric) = -0.268438258011 0.937489872205 y[1] (closed_form) = -0.271893595125 0.931617737904 absolute error = 0.006813 relative error = 0.7021 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.574 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=28855.8MB, alloc=44.3MB, time=361.26 x[1] = 1.9325 2.341 h = 0.003 0.006 y[1] (numeric) = -0.267596055818 0.937471794238 y[1] (closed_form) = -0.271052730258 0.931599670718 absolute error = 0.006814 relative error = 0.7023 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.577 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=28901.4MB, alloc=44.3MB, time=361.82 x[1] = 1.9355 2.347 h = 0.0001 0.005 y[1] (numeric) = -0.266335202886 0.936846530266 y[1] (closed_form) = -0.269794005132 0.930977623734 absolute error = 0.006812 relative error = 0.7028 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.582 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=28947.1MB, alloc=44.3MB, time=362.39 x[1] = 1.9356 2.352 h = 0.0001 0.003 y[1] (numeric) = -0.265291776072 0.93683157833 y[1] (closed_form) = -0.268752290463 0.930962833026 absolute error = 0.006813 relative error = 0.7031 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.585 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=28992.9MB, alloc=44.3MB, time=362.95 x[1] = 1.9357 2.355 h = 0.001 0.001 y[1] (numeric) = -0.264668185345 0.93681422912 y[1] (closed_form) = -0.268129321445 0.930945661924 absolute error = 0.006813 relative error = 0.7033 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.586 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=29038.6MB, alloc=44.3MB, time=363.52 x[1] = 1.9367 2.356 h = 0.001 0.003 y[1] (numeric) = -0.264459701527 0.936608071118 y[1] (closed_form) = -0.267920779792 0.930739677879 absolute error = 0.006813 relative error = 0.7034 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.588 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=29084.3MB, alloc=44.3MB, time=364.08 x[1] = 1.9377 2.359 h = 0.0001 0.004 y[1] (numeric) = -0.263836888222 0.936405006831 y[1] (closed_form) = -0.267298619753 0.93053708801 absolute error = 0.006813 relative error = 0.7037 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.59 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=29129.8MB, alloc=44.3MB, time=364.65 x[1] = 1.9378 2.363 h = 0.003 0.006 y[1] (numeric) = -0.263010339814 0.936390318489 y[1] (closed_form) = -0.266473290451 0.930522498924 absolute error = 0.006813 relative error = 0.7039 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.592 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=29175.6MB, alloc=44.3MB, time=365.21 x[1] = 1.9408 2.369 h = 0.0001 0.005 y[1] (numeric) = -0.261770527037 0.935781378206 y[1] (closed_form) = -0.265235548728 0.929916703444 absolute error = 0.006812 relative error = 0.7044 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.598 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=29221.3MB, alloc=44.3MB, time=365.77 x[1] = 1.9409 2.374 h = 0.0001 0.003 y[1] (numeric) = -0.260746351207 0.935770632859 y[1] (closed_form) = -0.264213044231 0.929906119692 absolute error = 0.006813 relative error = 0.7047 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.601 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=29267.0MB, alloc=44.3MB, time=366.34 x[1] = 1.941 2.377 h = 0.001 0.001 y[1] (numeric) = -0.260134220421 0.935755967917 y[1] (closed_form) = -0.263601520346 0.929891630085 absolute error = 0.006813 relative error = 0.7049 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.602 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=29312.8MB, alloc=44.3MB, time=366.90 x[1] = 1.942 2.378 h = 0.001 0.003 y[1] (numeric) = -0.259928803019 0.93555441052 y[1] (closed_form) = -0.263396046179 0.929690242531 absolute error = 0.006813 relative error = 0.705 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.604 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=29358.4MB, alloc=44.3MB, time=367.46 x[1] = 1.943 2.381 h = 0.0001 0.004 y[1] (numeric) = -0.259316714496 0.935357463416 y[1] (closed_form) = -0.262784594465 0.929493759865 absolute error = 0.006812 relative error = 0.7053 % Correct digits = 2 memory used=29404.1MB, alloc=44.3MB, time=368.03 Radius of convergence (given) for eq 1 = 4.606 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=29449.7MB, alloc=44.3MB, time=368.59 x[1] = 1.9431 2.385 h = 0.003 0.006 y[1] (numeric) = -0.258505353042 0.935346198696 y[1] (closed_form) = -0.261974423134 0.929482594572 absolute error = 0.006813 relative error = 0.7055 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.608 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=29495.3MB, alloc=44.3MB, time=369.16 x[1] = 1.9461 2.391 h = 0.0001 0.005 y[1] (numeric) = -0.257286048126 0.934753230967 y[1] (closed_form) = -0.260757134876 0.928892701378 absolute error = 0.006811 relative error = 0.706 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.614 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=29541.0MB, alloc=44.3MB, time=369.72 x[1] = 1.9462 2.396 h = 0.0001 0.003 y[1] (numeric) = -0.256280657366 0.934746626838 y[1] (closed_form) = -0.259753375975 0.928886258883 absolute error = 0.006812 relative error = 0.7063 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.617 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=29586.6MB, alloc=44.3MB, time=370.28 x[1] = 1.9463 2.399 h = 0.001 0.001 y[1] (numeric) = -0.255679709333 0.934734602607 y[1] (closed_form) = -0.259153020534 0.928874407184 absolute error = 0.006812 relative error = 0.7064 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.618 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=29632.2MB, alloc=44.3MB, time=370.86 x[1] = 1.9473 2.4 h = 0.001 0.003 y[1] (numeric) = -0.255477277482 0.934537541895 y[1] (closed_form) = -0.258950532985 0.928677512336 absolute error = 0.006812 relative error = 0.7066 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.62 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=29677.9MB, alloc=44.3MB, time=371.42 x[1] = 1.9483 2.403 h = 0.0001 0.004 y[1] (numeric) = -0.25487564849 0.934346585497 y[1] (closed_form) = -0.258349524949 0.928487010603 absolute error = 0.006812 relative error = 0.7068 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.622 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=29723.6MB, alloc=44.3MB, time=371.99 x[1] = 1.9484 2.407 h = 0.003 0.006 y[1] (numeric) = -0.254079108025 0.934338689473 y[1] (closed_form) = -0.257554146563 0.928479213961 absolute error = 0.006812 relative error = 0.707 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.624 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=29769.3MB, alloc=44.3MB, time=372.56 x[1] = 1.9514 2.413 h = 0.0001 0.005 y[1] (numeric) = -0.252879798259 0.933761350859 y[1] (closed_form) = -0.256356801297 0.927904881476 absolute error = 0.006811 relative error = 0.7075 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.63 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=29815.0MB, alloc=44.3MB, time=373.12 x[1] = 1.9515 2.418 h = 0.0001 0.003 y[1] (numeric) = -0.251892742091 0.933758821506 y[1] (closed_form) = -0.255371338802 0.927902513496 absolute error = 0.006812 relative error = 0.7078 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.633 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=29860.6MB, alloc=44.3MB, time=373.68 x[1] = 1.9516 2.421 h = 0.001 0.001 y[1] (numeric) = -0.251302708823 0.933749393951 y[1] (closed_form) = -0.254781884297 0.927893255646 absolute error = 0.006812 relative error = 0.7079 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.634 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=29906.2MB, alloc=44.3MB, time=374.25 x[1] = 1.9526 2.422 h = 0.001 0.003 y[1] (numeric) = -0.251103184956 0.933556728794 y[1] (closed_form) = -0.254582305795 0.927700752507 absolute error = 0.006812 relative error = 0.7081 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.636 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=29951.8MB, alloc=44.3MB, time=374.82 x[1] = 1.9536 2.425 h = 0.0001 0.004 y[1] (numeric) = -0.250511759607 0.933371638893 y[1] (closed_form) = -0.253991486125 0.927516107703 absolute error = 0.006811 relative error = 0.7083 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.638 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=29997.5MB, alloc=44.3MB, time=375.38 x[1] = 1.9537 2.429 h = 0.003 0.006 y[1] (numeric) = -0.249729686263 0.933367055937 y[1] (closed_form) = -0.253210547716 0.927511623884 absolute error = 0.006812 relative error = 0.7085 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.64 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=30043.2MB, alloc=44.3MB, time=375.94 x[1] = 1.9567 2.435 h = 0.0001 0.005 y[1] (numeric) = -0.248549877638 0.932805010555 y[1] (closed_form) = -0.252032653565 0.92695251803 absolute error = 0.00681 relative error = 0.709 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.646 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=30088.8MB, alloc=44.3MB, time=376.51 x[1] = 1.9568 2.44 h = 0.0001 0.003 y[1] (numeric) = -0.247580720404 0.932806488652 y[1] (closed_form) = -0.251065053052 0.926954156963 absolute error = 0.006811 relative error = 0.7092 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.649 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=30134.5MB, alloc=44.3MB, time=377.08 x[1] = 1.9569 2.443 h = 0.001 0.001 y[1] (numeric) = -0.247001342745 0.932799613366 y[1] (closed_form) = -0.250486240784 0.926947448536 absolute error = 0.006811 relative error = 0.7094 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.65 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=30180.1MB, alloc=44.3MB, time=377.64 x[1] = 1.9579 2.444 h = 0.0001 0.004 y[1] (numeric) = -0.246804652429 0.932611245339 y[1] (closed_form) = -0.250289496893 0.926759238806 absolute error = 0.006811 relative error = 0.7095 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.652 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=30225.8MB, alloc=44.3MB, time=378.21 x[1] = 1.958 2.448 h = 0.003 0.006 y[1] (numeric) = -0.246034717601 0.932609380856 y[1] (closed_form) = -0.249520752683 0.926757394926 absolute error = 0.006812 relative error = 0.7097 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.654 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=30271.4MB, alloc=44.3MB, time=378.77 x[1] = 1.961 2.454 h = 0.0001 0.005 y[1] (numeric) = -0.244871489857 0.932060011456 y[1] (closed_form) = -0.248359397213 0.926210909694 absolute error = 0.00681 relative error = 0.7102 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.66 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=30317.1MB, alloc=44.3MB, time=379.33 x[1] = 1.9611 2.459 h = 0.0001 0.003 y[1] (numeric) = -0.24391744807 0.932064678153 y[1] (closed_form) = -0.247406881282 0.926215736981 absolute error = 0.006811 relative error = 0.7104 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.662 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=30362.7MB, alloc=44.3MB, time=379.90 x[1] = 1.9612 2.462 h = 0.001 0.001 y[1] (numeric) = -0.243347071033 0.932059841111 y[1] (closed_form) = -0.246837058447 0.926211064492 absolute error = 0.006811 relative error = 0.7105 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.664 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=30408.3MB, alloc=44.3MB, time=380.46 x[1] = 1.9622 2.463 h = 0.001 0.003 y[1] (numeric) = -0.243152812066 0.931875062499 y[1] (closed_form) = -0.246642746768 0.926026441057 absolute error = 0.006811 relative error = 0.7107 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.665 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=30453.9MB, alloc=44.3MB, time=381.03 x[1] = 1.9632 2.466 h = 0.0001 0.004 y[1] (numeric) = -0.242579789158 0.931700451162 y[1] (closed_form) = -0.246070302451 0.925852257713 absolute error = 0.006811 relative error = 0.7109 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.668 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=30499.6MB, alloc=44.3MB, time=381.59 x[1] = 1.9633 2.47 h = 0.003 0.006 y[1] (numeric) = -0.241823771205 0.931701720235 y[1] (closed_form) = -0.245315371195 0.925853625295 absolute error = 0.006811 relative error = 0.7111 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.67 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=30545.2MB, alloc=44.3MB, time=382.16 x[1] = 1.9663 2.476 h = 0.0001 0.005 y[1] (numeric) = -0.240679168545 0.931167044091 y[1] (closed_form) = -0.244172594494 0.925321769913 absolute error = 0.00681 relative error = 0.7116 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.676 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=30590.9MB, alloc=44.3MB, time=382.72 x[1] = 1.9664 2.481 h = 0.0001 0.003 y[1] (numeric) = -0.239742251629 0.931175595965 y[1] (closed_form) = -0.243237168648 0.925330481372 absolute error = 0.00681 relative error = 0.7118 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.678 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=30636.6MB, alloc=44.3MB, time=383.29 memory used=30682.3MB, alloc=44.3MB, time=383.86 x[1] = 1.9665 2.484 h = 0.001 0.001 y[1] (numeric) = -0.239182069725 0.931173230731 y[1] (closed_form) = -0.242677528381 0.925328277821 absolute error = 0.00681 relative error = 0.7119 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.68 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=30727.9MB, alloc=44.3MB, time=384.43 x[1] = 1.9675 2.485 h = 0.001 0.003 y[1] (numeric) = -0.238990512546 0.930992573833 y[1] (closed_form) = -0.24248591954 0.9251477726 absolute error = 0.00681 relative error = 0.7121 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.681 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=30773.6MB, alloc=44.3MB, time=385.00 x[1] = 1.9685 2.488 h = 0.0001 0.004 y[1] (numeric) = -0.238427008033 0.930823488798 y[1] (closed_form) = -0.241922979855 0.92497910655 absolute error = 0.00681 relative error = 0.7123 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.684 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=30819.1MB, alloc=44.3MB, time=385.56 x[1] = 1.9686 2.492 h = 0.003 0.006 y[1] (numeric) = -0.237684506705 0.930827912867 y[1] (closed_form) = -0.241181540466 0.924983628393 absolute error = 0.006811 relative error = 0.7125 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.686 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=30864.8MB, alloc=44.3MB, time=386.12 x[1] = 1.9716 2.498 h = 0.0001 0.005 y[1] (numeric) = -0.236558084271 0.930307614734 y[1] (closed_form) = -0.240056899524 0.924466089274 absolute error = 0.006809 relative error = 0.7129 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.692 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=30910.5MB, alloc=44.3MB, time=386.69 x[1] = 1.9717 2.503 h = 0.0001 0.003 y[1] (numeric) = -0.235637895754 0.93031998265 y[1] (closed_form) = -0.239138168393 0.924478615555 absolute error = 0.00681 relative error = 0.7131 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.695 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=30956.1MB, alloc=44.3MB, time=387.26 x[1] = 1.9718 2.506 h = 0.001 0.001 y[1] (numeric) = -0.235087673173 0.930320044143 y[1] (closed_form) = -0.238588475291 0.924478835856 absolute error = 0.00681 relative error = 0.7133 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.696 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=31001.7MB, alloc=44.3MB, time=387.82 x[1] = 1.9728 2.507 h = 0.001 0.003 y[1] (numeric) = -0.234898751547 0.930143417798 y[1] (closed_form) = -0.238399503044 0.9243023578 absolute error = 0.00681 relative error = 0.7134 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.698 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=31047.3MB, alloc=44.3MB, time=388.39 x[1] = 1.9738 2.51 h = 0.0001 0.004 y[1] (numeric) = -0.2343445421 0.929979743406 y[1] (closed_form) = -0.237845845147 0.924139093577 absolute error = 0.00681 relative error = 0.7136 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.7 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=31092.9MB, alloc=44.3MB, time=388.95 x[1] = 1.9739 2.514 h = 0.003 0.006 y[1] (numeric) = -0.233615245841 0.929987265191 y[1] (closed_form) = -0.237117586841 0.924146712261 absolute error = 0.00681 relative error = 0.7138 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.702 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=31138.4MB, alloc=44.3MB, time=389.51 x[1] = 1.9769 2.52 h = 0.0001 0.005 y[1] (numeric) = -0.232506574492 0.929481036838 y[1] (closed_form) = -0.236010654278 0.923643182779 absolute error = 0.006809 relative error = 0.7142 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.708 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=31184.1MB, alloc=44.3MB, time=390.08 x[1] = 1.977 2.525 h = 0.0001 0.003 y[1] (numeric) = -0.231602730567 0.929497151353 y[1] (closed_form) = -0.235108235113 0.923659454242 absolute error = 0.006809 relative error = 0.7144 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.711 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=31229.7MB, alloc=44.3MB, time=390.65 x[1] = 1.9771 2.528 h = 0.001 0.001 y[1] (numeric) = -0.231062239043 0.929499594438 y[1] (closed_form) = -0.234568261302 0.923662053262 absolute error = 0.006809 relative error = 0.7145 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.713 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=31275.3MB, alloc=44.3MB, time=391.22 x[1] = 1.9781 2.529 h = 0.001 0.003 y[1] (numeric) = -0.230875889326 0.929326909889 y[1] (closed_form) = -0.234381861997 0.923489513721 absolute error = 0.006809 relative error = 0.7147 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.714 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=31321.1MB, alloc=44.3MB, time=391.78 x[1] = 1.9791 2.532 h = 0.0001 0.004 y[1] (numeric) = -0.230330759198 0.929168532678 y[1] (closed_form) = -0.233837270604 0.92333153805 absolute error = 0.006809 relative error = 0.7149 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.716 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=31366.7MB, alloc=44.3MB, time=392.35 x[1] = 1.9792 2.536 h = 0.003 0.006 y[1] (numeric) = -0.229614366373 0.929179094767 y[1] (closed_form) = -0.23312189249 0.923342196033 absolute error = 0.00681 relative error = 0.7151 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.719 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=31412.4MB, alloc=44.3MB, time=392.91 x[1] = 1.9822 2.542 h = 0.0001 0.005 y[1] (numeric) = -0.228523032006 0.928686634827 y[1] (closed_form) = -0.232032255877 0.92285237638 absolute error = 0.006808 relative error = 0.7155 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.724 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=31458.0MB, alloc=44.3MB, time=393.48 x[1] = 1.9823 2.547 h = 0.0001 0.003 y[1] (numeric) = -0.227635161031 0.928706426309 y[1] (closed_form) = -0.231145778054 0.922872323215 absolute error = 0.006809 relative error = 0.7157 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.727 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=31503.6MB, alloc=44.3MB, time=394.04 x[1] = 1.9824 2.55 h = 0.001 0.001 y[1] (numeric) = -0.227104179543 0.928711205863 y[1] (closed_form) = -0.230615302889 0.922877255834 absolute error = 0.006809 relative error = 0.7158 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.729 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=31549.4MB, alloc=44.3MB, time=394.61 x[1] = 1.9834 2.551 h = 0.0001 0.004 y[1] (numeric) = -0.226920340567 0.928542376684 y[1] (closed_form) = -0.230431415348 0.922708568484 absolute error = 0.006809 relative error = 0.7159 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.73 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=31595.1MB, alloc=44.3MB, time=395.17 x[1] = 1.9835 2.555 h = 0.003 0.006 y[1] (numeric) = -0.226214786025 0.928555431128 y[1] (closed_form) = -0.229726925668 0.92272164776 absolute error = 0.006809 relative error = 0.7161 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.732 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=31640.7MB, alloc=44.3MB, time=395.74 x[1] = 1.9865 2.561 h = 0.0001 0.005 y[1] (numeric) = -0.225138213403 0.928074386312 y[1] (closed_form) = -0.228652016089 0.922243194481 absolute error = 0.006808 relative error = 0.7165 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.738 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=31686.4MB, alloc=44.3MB, time=396.30 x[1] = 1.9866 2.566 h = 0.0001 0.003 y[1] (numeric) = -0.224263845419 0.928097102521 y[1] (closed_form) = -0.227779014812 0.922266064898 absolute error = 0.006809 relative error = 0.7167 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.741 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=31732.0MB, alloc=44.3MB, time=396.87 x[1] = 1.9867 2.569 h = 0.001 0.001 y[1] (numeric) = -0.223740905292 0.92810374732 y[1] (closed_form) = -0.227256571458 0.922272860427 absolute error = 0.006809 relative error = 0.7168 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.743 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=31777.5MB, alloc=44.3MB, time=397.43 x[1] = 1.9877 2.57 h = 0.001 0.003 y[1] (numeric) = -0.223559224864 0.927938140271 y[1] (closed_form) = -0.227074843302 0.922107392539 absolute error = 0.006809 relative error = 0.717 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.744 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=31823.2MB, alloc=44.3MB, time=397.99 x[1] = 1.9887 2.573 h = 0.0001 0.004 y[1] (numeric) = -0.223030499654 0.927789222899 y[1] (closed_form) = -0.226546634053 0.921958861282 absolute error = 0.006809 relative error = 0.7172 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.747 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=31869.0MB, alloc=44.3MB, time=398.56 memory used=31914.8MB, alloc=44.3MB, time=399.13 x[1] = 1.9888 2.577 h = 0.003 0.006 y[1] (numeric) = -0.222337381279 0.927805143718 y[1] (closed_form) = -0.225854489007 0.921974876078 absolute error = 0.006809 relative error = 0.7173 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.749 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=31960.4MB, alloc=44.3MB, time=399.69 x[1] = 1.9918 2.583 h = 0.0001 0.005 y[1] (numeric) = -0.221277409505 0.927337328851 y[1] (closed_form) = -0.224796142173 0.921509596922 absolute error = 0.006808 relative error = 0.7177 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.755 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=32006.0MB, alloc=44.3MB, time=400.25 x[1] = 1.9919 2.588 h = 0.0001 0.003 y[1] (numeric) = -0.220418352869 0.927363596428 y[1] (closed_form) = -0.223938422423 0.921536016809 absolute error = 0.006808 relative error = 0.7179 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.757 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=32051.6MB, alloc=44.3MB, time=400.82 x[1] = 1.992 2.591 h = 0.001 0.001 y[1] (numeric) = -0.219904529298 0.927372496405 y[1] (closed_form) = -0.223425084894 0.921545064658 absolute error = 0.006808 relative error = 0.718 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.759 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=32097.2MB, alloc=44.3MB, time=401.38 x[1] = 1.993 2.592 h = 0.001 0.003 y[1] (numeric) = -0.21972525101 0.927210590528 y[1] (closed_form) = -0.223245759884 0.921383294944 absolute error = 0.006808 relative error = 0.7181 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.761 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=32142.7MB, alloc=44.3MB, time=401.94 x[1] = 1.994 2.595 h = 0.0001 0.004 y[1] (numeric) = -0.219205025711 0.927066659956 y[1] (closed_form) = -0.222726038953 0.921239742373 absolute error = 0.006808 relative error = 0.7183 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.763 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=32188.4MB, alloc=44.3MB, time=402.52 x[1] = 1.9941 2.599 h = 0.003 0.006 y[1] (numeric) = -0.218523998567 0.927085460073 y[1] (closed_form) = -0.222045963869 0.921258635146 absolute error = 0.006809 relative error = 0.7185 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.765 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=32234.1MB, alloc=44.3MB, time=403.08 x[1] = 1.9971 2.605 h = 0.0001 0.005 y[1] (numeric) = -0.217480253155 0.926630592468 y[1] (closed_form) = -0.221003806752 0.920806248856 absolute error = 0.006807 relative error = 0.7189 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.771 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=32279.7MB, alloc=44.3MB, time=403.64 x[1] = 1.9972 2.61 h = 0.0001 0.003 y[1] (numeric) = -0.216636168474 0.926660341678 y[1] (closed_form) = -0.220161030044 0.920836148342 absolute error = 0.006808 relative error = 0.719 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.774 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=32325.3MB, alloc=44.3MB, time=404.21 x[1] = 1.9973 2.613 h = 0.001 0.001 y[1] (numeric) = -0.216131259642 0.926671451978 y[1] (closed_form) = -0.219656596859 0.920847403667 absolute error = 0.006808 relative error = 0.7191 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.776 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=32370.9MB, alloc=44.3MB, time=404.77 x[1] = 1.9983 2.614 h = 0.001 0.003 y[1] (numeric) = -0.215954328803 0.9265131671 y[1] (closed_form) = -0.219479620294 0.920689252048 absolute error = 0.006808 relative error = 0.7193 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.777 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=32416.6MB, alloc=44.3MB, time=405.34 x[1] = 1.9993 2.617 h = 0.0001 0.004 y[1] (numeric) = -0.215442414099 0.926374118035 y[1] (closed_form) = -0.218968198757 0.920550573043 absolute error = 0.006808 relative error = 0.7195 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.779 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=32462.2MB, alloc=44.3MB, time=405.90 x[1] = 1.9994 2.621 h = 0.003 0.006 y[1] (numeric) = -0.21477321136 0.926395740174 y[1] (closed_form) = -0.218299927448 0.92057228643 absolute error = 0.006808 relative error = 0.7196 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.782 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=32507.8MB, alloc=44.3MB, time=406.47 x[1] = 2.0024 2.627 h = 0.0001 0.005 y[1] (numeric) = -0.213745330522 0.925953543456 y[1] (closed_form) = -0.217273599652 0.920132518016 absolute error = 0.006807 relative error = 0.72 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.788 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=32553.4MB, alloc=44.3MB, time=407.03 x[1] = 2.0025 2.632 h = 0.0001 0.003 y[1] (numeric) = -0.212915888843 0.925986704747 y[1] (closed_form) = -0.21644543791 0.920165827425 absolute error = 0.006807 relative error = 0.7201 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.79 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=32599.0MB, alloc=44.3MB, time=407.60 x[1] = 2.0026 2.635 h = 0.001 0.001 y[1] (numeric) = -0.212419699151 0.925999980728 y[1] (closed_form) = -0.21594971379 0.9201792456 absolute error = 0.006807 relative error = 0.7202 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.792 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=32644.7MB, alloc=44.3MB, time=408.16 x[1] = 2.0036 2.636 h = 0.001 0.003 y[1] (numeric) = -0.212245063128 0.925845238746 y[1] (closed_form) = -0.215775033024 0.92002463406 absolute error = 0.006807 relative error = 0.7204 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.793 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=32690.4MB, alloc=44.3MB, time=408.73 x[1] = 2.0046 2.639 h = 0.0001 0.004 y[1] (numeric) = -0.211741275873 0.925710967965 y[1] (closed_form) = -0.215271728111 0.91989072557 absolute error = 0.006807 relative error = 0.7205 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.796 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=32736.0MB, alloc=44.3MB, time=409.30 x[1] = 2.0047 2.643 h = 0.003 0.006 y[1] (numeric) = -0.211083638897 0.925735355076 y[1] (closed_form) = -0.214615002551 0.919915202441 absolute error = 0.006808 relative error = 0.7207 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.798 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=32781.6MB, alloc=44.3MB, time=409.86 x[1] = 2.0077 2.649 h = 0.0001 0.005 y[1] (numeric) = -0.210071273008 0.925305559039 y[1] (closed_form) = -0.213604155779 0.919487783041 absolute error = 0.006806 relative error = 0.721 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.804 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=32827.1MB, alloc=44.3MB, time=410.42 x[1] = 2.0078 2.654 h = 0.0001 0.003 y[1] (numeric) = -0.209256155421 0.925342063116 y[1] (closed_form) = -0.212790290933 0.919524432966 absolute error = 0.006807 relative error = 0.7212 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.807 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=32872.7MB, alloc=44.3MB, time=410.98 x[1] = 2.0079 2.657 h = 0.001 0.001 y[1] (numeric) = -0.208768495248 0.925357460389 y[1] (closed_form) = -0.212303086566 0.919539969619 absolute error = 0.006807 relative error = 0.7213 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.809 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=32918.3MB, alloc=44.3MB, time=411.55 x[1] = 2.0089 2.658 h = 0.0001 0.004 y[1] (numeric) = -0.208596103368 0.925206185204 y[1] (closed_form) = -0.212130650915 0.919388822146 absolute error = 0.006807 relative error = 0.7214 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.81 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=32964.0MB, alloc=44.3MB, time=412.11 x[1] = 2.009 2.662 h = 0.003 0.006 y[1] (numeric) = -0.207948190895 0.925232836551 y[1] (closed_form) = -0.211483694929 0.919415498708 absolute error = 0.006807 relative error = 0.7216 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.812 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=33009.6MB, alloc=44.3MB, time=412.69 x[1] = 2.012 2.668 h = 0.0001 0.005 y[1] (numeric) = -0.206949052148 0.924813323477 y[1] (closed_form) = -0.210486046518 0.918998319229 absolute error = 0.006806 relative error = 0.7219 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.818 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=33055.4MB, alloc=44.3MB, time=413.26 memory used=33101.0MB, alloc=44.3MB, time=413.82 x[1] = 2.0121 2.673 h = 0.0001 0.003 y[1] (numeric) = -0.206146054974 0.924852484029 y[1] (closed_form) = -0.209684279296 0.919037623906 absolute error = 0.006807 relative error = 0.7221 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.821 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=33146.7MB, alloc=44.3MB, time=414.38 x[1] = 2.0122 2.676 h = 0.001 0.001 y[1] (numeric) = -0.205665613834 0.924869573279 y[1] (closed_form) = -0.209204285761 0.919054850241 absolute error = 0.006807 relative error = 0.7222 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.823 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=33192.3MB, alloc=44.3MB, time=414.95 x[1] = 2.0132 2.677 h = 0.001 0.003 y[1] (numeric) = -0.205495154591 0.924721196803 y[1] (closed_form) = -0.209033783545 0.918906599179 absolute error = 0.006807 relative error = 0.7223 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.824 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=33237.9MB, alloc=44.3MB, time=415.51 x[1] = 2.0142 2.68 h = 0.0001 0.004 y[1] (numeric) = -0.205006077378 0.924595457582 y[1] (closed_form) = -0.20854516939 0.918781208352 absolute error = 0.006807 relative error = 0.7225 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.827 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=33283.4MB, alloc=44.3MB, time=416.08 x[1] = 2.0143 2.684 h = 0.003 0.006 y[1] (numeric) = -0.204369331287 0.924624707964 y[1] (closed_form) = -0.207909299014 0.91881054576 absolute error = 0.006807 relative error = 0.7226 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.829 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=33329.0MB, alloc=44.3MB, time=416.64 x[1] = 2.0173 2.69 h = 0.0001 0.005 y[1] (numeric) = -0.203385084514 0.924217112566 y[1] (closed_form) = -0.206926510976 0.918405234672 absolute error = 0.006806 relative error = 0.7229 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.835 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=33374.5MB, alloc=44.3MB, time=417.20 x[1] = 2.0174 2.695 h = 0.0001 0.003 y[1] (numeric) = -0.202595842626 0.924259491402 y[1] (closed_form) = -0.206138473325 0.918447755175 absolute error = 0.006806 relative error = 0.7231 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.838 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=33420.3MB, alloc=44.3MB, time=417.77 x[1] = 2.0175 2.698 h = 0.001 0.001 y[1] (numeric) = -0.20212359278 0.924278622246 y[1] (closed_form) = -0.205666661862 0.918467020325 absolute error = 0.006806 relative error = 0.7232 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.839 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=33465.8MB, alloc=44.3MB, time=418.34 x[1] = 2.0185 2.699 h = 0.001 0.003 y[1] (numeric) = -0.201955287457 0.924133576651 y[1] (closed_form) = -0.205498314516 0.918322097563 absolute error = 0.006806 relative error = 0.7233 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.841 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=33511.5MB, alloc=44.3MB, time=418.90 x[1] = 2.0195 2.702 h = 0.0001 0.004 y[1] (numeric) = -0.201473844478 0.924012333516 y[1] (closed_form) = -0.205017324762 0.918201195517 absolute error = 0.006806 relative error = 0.7234 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.843 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=33557.3MB, alloc=44.3MB, time=419.47 x[1] = 2.0196 2.706 h = 0.003 0.006 y[1] (numeric) = -0.200847966018 0.924044190166 y[1] (closed_form) = -0.204392303641 0.91823313751 absolute error = 0.006807 relative error = 0.7236 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.846 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=33602.9MB, alloc=44.3MB, time=420.03 x[1] = 2.0226 2.712 h = 0.0001 0.005 y[1] (numeric) = -0.19987829373 0.923648258989 y[1] (closed_form) = -0.203424059646 0.917839442591 absolute error = 0.006805 relative error = 0.7239 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.851 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=33648.5MB, alloc=44.3MB, time=420.60 x[1] = 2.0227 2.717 h = 0.0001 0.003 y[1] (numeric) = -0.19910251489 0.923693787791 y[1] (closed_form) = -0.202649460084 0.917885110522 absolute error = 0.006806 relative error = 0.7241 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.854 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=33694.0MB, alloc=44.3MB, time=421.16 x[1] = 2.0228 2.72 h = 0.001 0.001 y[1] (numeric) = -0.198638282595 0.923714916693 y[1] (closed_form) = -0.202185657224 0.917906370972 absolute error = 0.006806 relative error = 0.7241 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.856 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=33739.6MB, alloc=44.3MB, time=421.72 x[1] = 2.0238 2.721 h = 0.001 0.003 y[1] (numeric) = -0.198472085676 0.923573131269 y[1] (closed_form) = -0.202019419221 0.917764705875 absolute error = 0.006806 relative error = 0.7242 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.857 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=33785.2MB, alloc=44.3MB, time=422.29 x[1] = 2.0248 2.724 h = 0.0001 0.004 y[1] (numeric) = -0.197998115373 0.923456288625 y[1] (closed_form) = -0.201545892629 0.917648197173 absolute error = 0.006806 relative error = 0.7244 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.86 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=33830.8MB, alloc=44.3MB, time=422.86 x[1] = 2.0249 2.728 h = 0.003 0.006 y[1] (numeric) = -0.197382874687 0.923490695753 y[1] (closed_form) = -0.200931491438 0.91768268791 absolute error = 0.006806 relative error = 0.7245 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.862 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=33876.4MB, alloc=44.3MB, time=423.42 x[1] = 2.0279 2.734 h = 0.0001 0.005 y[1] (numeric) = -0.196427469714 0.923106180984 y[1] (closed_form) = -0.199977485424 0.917300362542 absolute error = 0.006805 relative error = 0.7248 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.868 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=33921.9MB, alloc=44.3MB, time=423.98 x[1] = 2.028 2.739 h = 0.0001 0.003 y[1] (numeric) = -0.19566487034 0.92315479192 y[1] (closed_form) = -0.199216041094 0.917349109996 absolute error = 0.006806 relative error = 0.725 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.871 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=33967.6MB, alloc=44.3MB, time=424.55 x[1] = 2.0281 2.742 h = 0.001 0.001 y[1] (numeric) = -0.195208487003 0.923177875719 y[1] (closed_form) = -0.198760078511 0.917372322611 absolute error = 0.006806 relative error = 0.7251 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.873 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=34013.3MB, alloc=44.3MB, time=425.11 x[1] = 2.0291 2.743 h = 0.001 0.003 y[1] (numeric) = -0.195044354611 0.923039281539 y[1] (closed_form) = -0.198595905961 0.917233846325 absolute error = 0.006806 relative error = 0.7252 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.874 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=34059.0MB, alloc=44.3MB, time=425.68 x[1] = 2.0301 2.746 h = 0.0001 0.004 y[1] (numeric) = -0.194577700481 0.922926745704 y[1] (closed_form) = -0.198129686333 0.917121637437 absolute error = 0.006806 relative error = 0.7253 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.877 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=34104.6MB, alloc=44.3MB, time=426.24 x[1] = 2.0302 2.75 h = 0.003 0.006 y[1] (numeric) = -0.193972874494 0.92296364797 y[1] (closed_form) = -0.19752568251 0.917158621532 absolute error = 0.006806 relative error = 0.7254 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.879 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=34150.2MB, alloc=44.3MB, time=426.81 x[1] = 2.0332 2.756 h = 0.0001 0.005 y[1] (numeric) = -0.193031439571 0.922590307303 y[1] (closed_form) = -0.196585618269 0.91678742457 absolute error = 0.006805 relative error = 0.7257 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.885 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=34195.9MB, alloc=44.3MB, time=427.38 x[1] = 2.0333 2.761 h = 0.0001 0.003 y[1] (numeric) = -0.192281744409 0.922641933074 y[1] (closed_form) = -0.195837054617 0.916839184184 absolute error = 0.006805 relative error = 0.7259 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.888 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=34241.6MB, alloc=44.3MB, time=427.94 x[1] = 2.0334 2.764 h = 0.001 0.001 y[1] (numeric) = -0.191833046396 0.922666929009 y[1] (closed_form) = -0.195388768931 0.916864306227 absolute error = 0.006805 relative error = 0.7259 % Correct digits = 2 memory used=34287.3MB, alloc=44.3MB, time=428.50 Radius of convergence (given) for eq 1 = 4.89 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=34333.0MB, alloc=44.3MB, time=429.07 x[1] = 2.0344 2.765 h = 0.0001 0.004 y[1] (numeric) = -0.191670936221 0.922531458873 y[1] (closed_form) = -0.195226619513 0.916728951622 absolute error = 0.006805 relative error = 0.7261 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.891 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=34378.7MB, alloc=44.3MB, time=429.64 x[1] = 2.0345 2.769 h = 0.003 0.006 y[1] (numeric) = -0.191074875087 0.922570401826 y[1] (closed_form) = -0.194631420969 0.91676791757 absolute error = 0.006806 relative error = 0.7262 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.893 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=34424.3MB, alloc=44.3MB, time=430.20 x[1] = 2.0375 2.775 h = 0.0001 0.005 y[1] (numeric) = -0.190145363615 0.922206327762 y[1] (closed_form) = -0.193703256123 0.916405949099 absolute error = 0.006805 relative error = 0.7265 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.899 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=34469.9MB, alloc=44.3MB, time=430.76 x[1] = 2.0376 2.78 h = 0.0001 0.003 y[1] (numeric) = -0.189406596519 0.922260345743 y[1] (closed_form) = -0.192965600787 0.916460098845 absolute error = 0.006805 relative error = 0.7266 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.902 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=34515.4MB, alloc=44.3MB, time=431.33 x[1] = 2.0377 2.783 h = 0.001 0.001 y[1] (numeric) = -0.188964408483 0.922286864676 y[1] (closed_form) = -0.192523817991 0.916486741674 absolute error = 0.006805 relative error = 0.7267 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.904 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=34561.1MB, alloc=44.3MB, time=431.89 x[1] = 2.0387 2.784 h = 0.001 0.003 y[1] (numeric) = -0.188804042386 0.922154007651 y[1] (closed_form) = -0.192363413399 0.916353998191 absolute error = 0.006805 relative error = 0.7268 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.905 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=34606.8MB, alloc=44.3MB, time=432.46 x[1] = 2.0397 2.787 h = 0.0001 0.004 y[1] (numeric) = -0.188350650639 0.922049159886 y[1] (closed_form) = -0.191910439711 0.916249464858 absolute error = 0.006805 relative error = 0.7269 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.908 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=34652.5MB, alloc=44.3MB, time=433.04 x[1] = 2.0398 2.791 h = 0.003 0.006 y[1] (numeric) = -0.18776466064 0.922090441317 y[1] (closed_form) = -0.191325240908 0.916290824895 absolute error = 0.006805 relative error = 0.727 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.91 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=34698.2MB, alloc=44.3MB, time=433.60 x[1] = 2.0428 2.797 h = 0.0001 0.005 y[1] (numeric) = -0.186848588321 0.921737107971 y[1] (closed_form) = -0.190410488793 0.915939553502 absolute error = 0.006804 relative error = 0.7273 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.916 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=34743.8MB, alloc=44.3MB, time=434.17 x[1] = 2.0429 2.802 h = 0.0001 0.003 y[1] (numeric) = -0.186122233595 0.921794020164 y[1] (closed_form) = -0.189685223527 0.915996594678 absolute error = 0.006805 relative error = 0.7274 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.919 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=34789.4MB, alloc=44.3MB, time=434.73 x[1] = 2.043 2.805 h = 0.001 0.001 y[1] (numeric) = -0.185687438467 0.921822374617 y[1] (closed_form) = -0.189250825662 0.916025070367 absolute error = 0.006805 relative error = 0.7275 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.921 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=34835.1MB, alloc=44.3MB, time=435.30 x[1] = 2.044 2.806 h = 0.001 0.003 y[1] (numeric) = -0.18552901904 0.921692521478 y[1] (closed_form) = -0.18909236863 0.915895328531 absolute error = 0.006805 relative error = 0.7276 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.922 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=34880.7MB, alloc=44.3MB, time=435.86 x[1] = 2.045 2.809 h = 0.0001 0.004 y[1] (numeric) = -0.185082520854 0.921591724464 y[1] (closed_form) = -0.188646280105 0.915794839373 absolute error = 0.006805 relative error = 0.7278 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.925 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=34926.4MB, alloc=44.3MB, time=436.43 x[1] = 2.0451 2.813 h = 0.003 0.006 y[1] (numeric) = -0.184506342004 0.92163534788 y[1] (closed_form) = -0.188070876485 0.915838539507 absolute error = 0.006805 relative error = 0.7279 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.927 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=34972.1MB, alloc=44.3MB, time=437.00 x[1] = 2.0481 2.819 h = 0.0001 0.005 y[1] (numeric) = -0.183603437793 0.921292527884 y[1] (closed_form) = -0.187169266986 0.915497738889 absolute error = 0.006804 relative error = 0.7281 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.933 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=35017.8MB, alloc=44.3MB, time=437.56 x[1] = 2.0482 2.824 h = 0.0001 0.003 y[1] (numeric) = -0.182889242361 0.921352268629 y[1] (closed_form) = -0.186456139341 0.915557605792 absolute error = 0.006804 relative error = 0.7283 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.936 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=35063.4MB, alloc=44.3MB, time=438.12 x[1] = 2.0483 2.827 h = 0.001 0.001 y[1] (numeric) = -0.182461689703 0.921382417038 y[1] (closed_form) = -0.186028976199 0.915587872806 absolute error = 0.006805 relative error = 0.7283 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.938 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=35109.2MB, alloc=44.3MB, time=438.69 x[1] = 2.0493 2.828 h = 0.001 0.003 y[1] (numeric) = -0.182305178765 0.921255505231 y[1] (closed_form) = -0.185872428533 0.915461070127 absolute error = 0.006804 relative error = 0.7284 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.939 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=35154.7MB, alloc=44.3MB, time=439.25 x[1] = 2.0503 2.831 h = 0.0001 0.004 y[1] (numeric) = -0.181865435368 0.921158672304 y[1] (closed_form) = -0.18543308666 0.91536453862 absolute error = 0.006804 relative error = 0.7286 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.942 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=35200.4MB, alloc=44.3MB, time=439.82 x[1] = 2.0504 2.835 h = 0.003 0.006 y[1] (numeric) = -0.181298868518 0.921204584306 y[1] (closed_form) = -0.18486727952 0.915410525425 absolute error = 0.006805 relative error = 0.7286 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.944 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=35246.1MB, alloc=44.3MB, time=440.38 x[1] = 2.0534 2.841 h = 0.0001 0.005 y[1] (numeric) = -0.180408869813 0.920872055308 y[1] (closed_form) = -0.18397855092 0.915079974263 absolute error = 0.006804 relative error = 0.7289 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.95 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=35291.8MB, alloc=44.3MB, time=440.95 x[1] = 2.0535 2.846 h = 0.0001 0.003 y[1] (numeric) = -0.179706587807 0.920934559612 y[1] (closed_form) = -0.183277315636 0.915142601862 absolute error = 0.006804 relative error = 0.729 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.953 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=35337.4MB, alloc=44.3MB, time=441.51 x[1] = 2.0536 2.849 h = 0.001 0.001 y[1] (numeric) = -0.179286131469 0.920966460884 y[1] (closed_form) = -0.182857241286 0.915174619138 absolute error = 0.006804 relative error = 0.7291 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.955 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=35383.0MB, alloc=44.3MB, time=442.07 x[1] = 2.0546 2.85 h = 0.001 0.003 y[1] (numeric) = -0.179131492156 0.920842429393 y[1] (closed_form) = -0.182702566108 0.91505069466 absolute error = 0.006804 relative error = 0.7292 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.956 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=35428.7MB, alloc=44.3MB, time=442.63 x[1] = 2.0556 2.853 h = 0.0001 0.004 y[1] (numeric) = -0.17869836894 0.920749475639 y[1] (closed_form) = -0.182269836529 0.914958036028 absolute error = 0.006804 relative error = 0.7293 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.959 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=35474.4MB, alloc=44.3MB, time=443.20 x[1] = 2.0557 2.857 h = 0.003 0.006 y[1] (numeric) = -0.178141220593 0.920797623404 y[1] (closed_form) = -0.181713432803 0.915006256659 absolute error = 0.006804 relative error = 0.7294 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.961 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=35520.0MB, alloc=44.3MB, time=443.76 memory used=35565.7MB, alloc=44.3MB, time=444.35 x[1] = 2.0587 2.863 h = 0.0001 0.005 y[1] (numeric) = -0.1772638729 0.920475167951 y[1] (closed_form) = -0.180837331455 0.914685738502 absolute error = 0.006803 relative error = 0.7297 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.967 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=35611.3MB, alloc=44.3MB, time=444.91 x[1] = 2.0588 2.868 h = 0.0001 0.003 y[1] (numeric) = -0.1765732654 0.920540371513 y[1] (closed_form) = -0.180147750194 0.914751062467 absolute error = 0.006804 relative error = 0.7298 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.97 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=35657.1MB, alloc=44.3MB, time=445.50 x[1] = 2.0589 2.871 h = 0.001 0.001 y[1] (numeric) = -0.176159763364 0.920573985035 y[1] (closed_form) = -0.179734622831 0.914784789421 absolute error = 0.006804 relative error = 0.7298 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.972 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=35702.8MB, alloc=44.3MB, time=446.06 x[1] = 2.0599 2.872 h = 0.001 0.003 y[1] (numeric) = -0.176006960068 0.920452774335 y[1] (closed_form) = -0.179581784522 0.914663683678 absolute error = 0.006804 relative error = 0.7299 % Correct digits = 2 Radius of convergence (given) for eq 1 = 4.973 Order of pole (given) = 0.5 0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=35748.5MB, alloc=44.3MB, time=446.63 Finished! Maximum Time Reached before Solution Completed! 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 ) ; Iterations = 754 Total Elapsed Time = 7 Minutes 26 Seconds Expected Time Remaining = 0 Seconds Optimized Time Remaining = 0 Seconds Expected Total Time = 7 Minutes 26 Seconds > quit memory used=35756.9MB, alloc=44.3MB, time=446.72