|\^/| 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(neg(cos(c(x)))/c(2.0)); > end; exact_soln_y := proc(x) return neg(cos(c(x)))/c(2.0) 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, 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0.0001 + 0.005*I, 0.0001 + 0.003*I, 0.001 + 0.001*I, 0.001 + 0.003*I, 0.0001 + 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_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_g, > array_tmp1, > array_tmp2, > array_tmp3, > 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_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_g, array_tmp1, array_tmp2, array_tmp3, 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_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_g, > array_tmp1, > array_tmp2, > array_tmp3, > 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_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_g, array_tmp1, array_tmp2, array_tmp3, 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_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_g, > array_tmp1, > array_tmp2, > array_tmp3, > 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_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_g, array_tmp1, array_tmp2, array_tmp3, 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_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_g, > array_tmp1, > array_tmp2, > array_tmp3, > 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_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_g, array_tmp1, array_tmp2, array_tmp3, 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_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_g, > array_tmp1, > array_tmp2, > array_tmp3, > 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_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_g, array_tmp1, array_tmp2, array_tmp3, 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_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_g, > array_tmp1, > array_tmp2, > array_tmp3, > 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_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_g, array_tmp1, array_tmp2, array_tmp3, 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_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_g, > array_tmp1, > array_tmp2, > array_tmp3, > 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_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_g, array_tmp1, array_tmp2, array_tmp3, 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_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_g, > array_tmp1, > array_tmp2, > array_tmp3, > 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 sin 1 $eq_no = 1 > array_tmp1[1] := sin(array_x[1]); > array_tmp1_g[1] := cos(array_x[1]); > #emit pre div $eq_no = 1 i = 1 > array_tmp2[1] := array_tmp1[1] / array_const_2D0[1]; > #emit pre add CONST FULL $eq_no = 1 i = 1 > array_tmp3[1] := array_const_0D0[1] + array_tmp2[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_tmp3[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 sin ID_LINEAR iii = 2 $eq_no = 1 > array_tmp1[2] := array_tmp1_g[1] * array_x[2] / c(1); > array_tmp1_g[2] := neg(array_tmp1[1]) * array_x[2] / c(1); > #emit pre div $eq_no = 1 i = 2 > array_tmp2[2] := array_tmp1[2] / array_const_2D0[1]; > #emit pre add CONST FULL $eq_no = 1 i = 2 > array_tmp3[2] := array_tmp2[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_tmp3[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 sin ID_LINEAR iii = 3 $eq_no = 1 > array_tmp1[3] := array_tmp1_g[2] * array_x[2] / c(2); > array_tmp1_g[3] := neg(array_tmp1[2]) * array_x[2] / c(2); > #emit pre div $eq_no = 1 i = 3 > array_tmp2[3] := array_tmp1[3] / array_const_2D0[1]; > #emit pre add CONST FULL $eq_no = 1 i = 3 > array_tmp3[3] := array_tmp2[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_tmp3[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 sin ID_LINEAR iii = 4 $eq_no = 1 > array_tmp1[4] := array_tmp1_g[3] * array_x[2] / c(3); > array_tmp1_g[4] := neg(array_tmp1[3]) * array_x[2] / c(3); > #emit pre div $eq_no = 1 i = 4 > array_tmp2[4] := array_tmp1[4] / array_const_2D0[1]; > #emit pre add CONST FULL $eq_no = 1 i = 4 > array_tmp3[4] := array_tmp2[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_tmp3[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 sin ID_LINEAR iii = 5 $eq_no = 1 > array_tmp1[5] := array_tmp1_g[4] * array_x[2] / c(4); > array_tmp1_g[5] := neg(array_tmp1[4]) * array_x[2] / c(4); > #emit pre div $eq_no = 1 i = 5 > array_tmp2[5] := array_tmp1[5] / array_const_2D0[1]; > #emit pre add CONST FULL $eq_no = 1 i = 5 > array_tmp3[5] := array_tmp2[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_tmp3[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 sin LINEAR $eq_no = 1 > array_tmp1[kkk] := array_tmp1_g[kkk - 1] * array_x[2] / c(kkk - 1); > array_tmp1_g[kkk] := neg(array_tmp1[kkk - 1]) * array_x[2] / c(kkk - 1); > #emit div FULL CONST $eq_no = 1 i = 1 > array_tmp2[kkk] := array_tmp1[kkk] / array_const_2D0[1]; > #emit NOT FULL - FULL add $eq_no = 1 > array_tmp3[kkk] := array_tmp2[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_tmp3[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_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_g, array_tmp1, array_tmp2, array_tmp3, 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] := sin(array_x[1]); array_tmp1_g[1] := cos(array_x[1]); array_tmp2[1] := array_tmp1[1]/array_const_2D0[1]; array_tmp3[1] := array_const_0D0[1] + array_tmp2[1]; if not array_y_set_initial[1, 2] then if 1 <= ATS_MAX_TERMS then temporary := c(array_tmp3[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_tmp1_g[1]*array_x[2]/c(1); array_tmp1_g[2] := neg(array_tmp1[1])*array_x[2]/c(1); array_tmp2[2] := array_tmp1[2]/array_const_2D0[1]; array_tmp3[2] := array_tmp2[2]; if not array_y_set_initial[1, 3] then if 2 <= ATS_MAX_TERMS then temporary := c(array_tmp3[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_tmp1[3] := array_tmp1_g[2]*array_x[2]/c(2); array_tmp1_g[3] := neg(array_tmp1[2])*array_x[2]/c(2); array_tmp2[3] := array_tmp1[3]/array_const_2D0[1]; array_tmp3[3] := array_tmp2[3]; if not array_y_set_initial[1, 4] then if 3 <= ATS_MAX_TERMS then temporary := c(array_tmp3[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_tmp1[4] := array_tmp1_g[3]*array_x[2]/c(3); array_tmp1_g[4] := neg(array_tmp1[3])*array_x[2]/c(3); array_tmp2[4] := array_tmp1[4]/array_const_2D0[1]; array_tmp3[4] := array_tmp2[4]; if not array_y_set_initial[1, 5] then if 4 <= ATS_MAX_TERMS then temporary := c(array_tmp3[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_tmp1[5] := array_tmp1_g[4]*array_x[2]/c(4); array_tmp1_g[5] := neg(array_tmp1[4])*array_x[2]/c(4); array_tmp2[5] := array_tmp1[5]/array_const_2D0[1]; array_tmp3[5] := array_tmp2[5]; if not array_y_set_initial[1, 6] then if 5 <= ATS_MAX_TERMS then temporary := c(array_tmp3[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_tmp1[kkk] := array_tmp1_g[kkk - 1]*array_x[2]/c(kkk - 1); array_tmp1_g[kkk] := neg(array_tmp1[kkk - 1])*array_x[2]/c(kkk - 1) ; array_tmp2[kkk] := array_tmp1[kkk]/array_const_2D0[1]; array_tmp3[kkk] := array_tmp2[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_tmp3[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_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_g, > array_tmp1, > array_tmp2, > array_tmp3, > 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_g:= Array(0..(40),[]); > array_tmp1:= Array(0..(40),[]); > array_tmp2:= Array(0..(40),[]); > array_tmp3:= 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_g[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_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_g); > zero_ats_ar(array_tmp1); > zero_ats_ar(array_tmp2); > zero_ats_ar(array_tmp3); > 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_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/div_sin_cpostcpx.cpx#################"); > omniout_str(ALWAYS,"diff ( y , x , 1 ) = sin ( x ) / 2.0 ; "); > 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 := -5.1 + 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,""); > 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 := 3;"); > 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(neg(cos(c(x)))/c(2.0));"); > 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 := -5.1 + 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_type_given_pole := 3; > #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 ) = sin ( x ) / 2.0 ; "); > 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,"2017-11-26T14:48:01-06:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"div_sin_c") > ; > logitem_str(html_log_file,"diff ( y , x , 1 ) = sin ( x ) / 2.0 ; ") > ; > 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,"div_sin_c diffeq.mxt") > ; > logitem_str(html_log_file,"div_sin_c maple results") > ; > logitem_str(html_log_file,"OK") > ; > 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_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_g, array_tmp1, array_tmp2, array_tmp3, 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_g := Array(0 .. 40, []); array_tmp1 := Array(0 .. 40, []); array_tmp2 := Array(0 .. 40, []); array_tmp3 := 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_g[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_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_g); zero_ats_ar(array_tmp1); zero_ats_ar(array_tmp2); zero_ats_ar(array_tmp3); 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_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/div_sin_cpostcpx.cpx#################"); omniout_str(ALWAYS, "diff ( y , x , 1 ) = sin ( x ) / 2.0 ; "); 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 := -5.1 + 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, ""); 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 := 3;"); 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(neg(cos(c(x)))/c(2.0));"); 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 * 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I,"); omniout_str(ALWAYS, "0.001 + 0.001 * I,"); omniout_str(ALWAYS, "0.001 + 0.003 * I,"); omniout_str(ALWAYS, "0.0001 + 0.004 * I,"); omniout_str(ALWAYS, "0.003 + 0.006 * I,"); omniout_str(ALWAYS, "0.0001 + 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 := -5.1 + 0.1*I; x_end := 99.0 + 99.0*I; array_y_init[1] := exact_soln_y(x_start); glob_look_poles := true; glob_type_given_pole := 3; 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 ) = sin ( x ) / 2.0 ; "); 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, "2017-11-26T14:48:01-06:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "div_sin_c"); logitem_str(html_log_file, "diff ( y , x , 1 ) = sin ( x ) / 2.0 ; "); 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, "div_sin_c diffeq.mxt"); logitem_str(html_log_file, "div_sin_c maple results"); logitem_str(html_log_file, "OK"); 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=3.9MB, alloc=40.3MB, time=0.08 ##############ECHO OF PROBLEM################# ##############temp/div_sin_cpostcpx.cpx################# diff ( y , x , 1 ) = sin ( x ) / 2.0 ; ! #BEGIN FIRST INPUT BLOCK Digits:=32; max_terms:=40; ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start := -5.1 + 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_type_given_pole := 3; #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(neg(cos(c(x)))/c(2.0)); 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 x[1] = -5.1 0.1 h = 0.0001 0.005 y[1] (numeric) = -0.189934603429 0.0463679239247 y[1] (closed_form) = -0.189934603429 0.0463679239247 absolute error = 0 relative error = 0 % Correct digits = 30 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4551 Order of pole (three term test) = 32.86 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0999 0.105 h = 0.0001 0.003 y[1] (numeric) = -0.189984610405 0.0486964911307 y[1] (closed_form) = -0.18998508292 0.0486966200416 absolute error = 4.898e-07 relative error = 0.0002497 % Correct digits = 6 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2194 Order of pole (three term test) = 32.87 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0998 0.108 h = 0.001 0.001 y[1] (numeric) = -0.189999092978 0.0500953668701 y[1] (closed_form) = -0.189999000463 0.0500953269619 absolute error = 1.008e-07 relative error = 5.128e-05 % Correct digits = 6 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1726 Order of pole (three term test) = 32.87 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0988 0.109 h = 0.001 0.003 y[1] (numeric) = -0.189554082943 0.0505818228231 y[1] (closed_form) = -0.189553743036 0.0505816049447 absolute error = 4.037e-07 relative error = 0.0002058 % Correct digits = 6 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8183 Order of pole (three term test) = 32.87 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0978 0.112 h = 0.0001 0.004 y[1] (numeric) = -0.189150022852 0.052000495594 y[1] (closed_form) = -0.189150199541 0.0520006206365 absolute error = 2.165e-07 relative error = 0.0001103 % Correct digits = 6 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4634 Order of pole (three term test) = 32.87 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0977 0.116 h = 0.003 0.006 y[1] (numeric) = -0.189188798314 0.0538682478297 y[1] (closed_form) = -0.189189454486 0.0538681506539 absolute error = 6.633e-07 relative error = 0.0003372 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.616 Order of pole (three term test) = 32.87 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0947 0.122 h = 0.0001 0.005 y[1] (numeric) = -0.187922400558 0.0567343996024 y[1] (closed_form) = -0.187922719492 0.0567366026525 absolute error = 2.226e-06 relative error = 0.001134 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2739 Order of pole (three term test) = 32.87 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0946 0.127 h = 0.0001 0.003 y[1] (numeric) = -0.187992066512 0.0590757958422 y[1] (closed_form) = -0.187992370694 0.059076492255 absolute error = 7.599e-07 relative error = 0.0003856 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2215 Order of pole (three term test) = 32.87 0 NO COMPLEX POLE (six term test) for Equation 1 memory used=28.3MB, alloc=40.3MB, time=0.36 x[1] = -5.0945 0.13 h = 0.001 0.001 y[1] (numeric) = -0.188017927491 0.060481696776 y[1] (closed_form) = -0.18801767363 0.0604821934099 absolute error = 5.578e-07 relative error = 0.0002824 % Correct digits = 6 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1744 Order of pole (three term test) = 32.87 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0935 0.131 h = 0.001 0.003 y[1] (numeric) = -0.187574545598 0.0609742477149 y[1] (closed_form) = -0.187574052925 0.0609745523986 absolute error = 5.793e-07 relative error = 0.0002937 % Correct digits = 6 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8269 Order of pole (three term test) = 32.87 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0925 0.134 h = 0.0001 0.004 y[1] (numeric) = -0.187179794427 0.0624034586422 y[1] (closed_form) = -0.187179802024 0.0624041354663 absolute error = 6.769e-07 relative error = 0.0003431 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4685 Order of pole (three term test) = 32.88 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0924 0.138 h = 0.003 0.006 y[1] (numeric) = -0.187233655674 0.0642806744719 y[1] (closed_form) = -0.187234156959 0.0642811538006 absolute error = 6.936e-07 relative error = 0.0003504 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6232 Order of pole (three term test) = 32.88 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0894 0.144 h = 0.0001 0.005 y[1] (numeric) = -0.185983242955 0.0671722017995 y[1] (closed_form) = -0.185983281824 0.0671749757987 absolute error = 2.774e-06 relative error = 0.001403 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2774 Order of pole (three term test) = 32.88 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0893 0.149 h = 0.0001 0.003 y[1] (numeric) = -0.186071485839 0.0695258851149 y[1] (closed_form) = -0.18607159079 0.0695271419396 absolute error = 1.261e-06 relative error = 0.0006349 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2246 Order of pole (three term test) = 32.88 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0892 0.152 h = 0.001 0.001 y[1] (numeric) = -0.186108409134 0.0709394582567 y[1] (closed_form) = -0.186107962819 0.0709404841214 absolute error = 1.119e-06 relative error = 0.0005617 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1768 Order of pole (three term test) = 32.88 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0882 0.153 h = 0.001 0.003 y[1] (numeric) = -0.185666338362 0.0714382253422 y[1] (closed_form) = -0.185665661754 0.0714390451336 absolute error = 1.063e-06 relative error = 0.0005343 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8388 Order of pole (three term test) = 32.88 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0872 0.156 h = 0.0001 0.004 y[1] (numeric) = -0.185280382819 0.0728785339727 y[1] (closed_form) = -0.185280190294 0.0728797554102 absolute error = 1.237e-06 relative error = 0.0006211 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4755 Order of pole (three term test) = 32.88 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0871 0.16 h = 0.003 0.006 y[1] (numeric) = -0.185348916607 0.0747660818234 y[1] (closed_form) = -0.185349232247 0.0747671305135 absolute error = 1.095e-06 relative error = 0.000548 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6329 Order of pole (three term test) = 32.89 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0841 0.166 h = 0.0001 0.005 y[1] (numeric) = -0.184113244477 0.0776840114006 y[1] (closed_form) = -0.184112971778 0.0776873501441 absolute error = 3.350e-06 relative error = 0.001676 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.282 Order of pole (three term test) = 32.89 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.084 0.171 h = 0.0001 0.003 y[1] (numeric) = -0.184219555604 0.0800510754694 y[1] (closed_form) = -0.184219430202 0.0800528858248 absolute error = 1.815e-06 relative error = 0.0009035 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2284 Order of pole (three term test) = 32.89 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0839 0.174 h = 0.001 0.001 y[1] (numeric) = -0.184267228378 0.0814729739104 y[1] (closed_form) = -0.184266558293 0.081474521891 absolute error = 1.687e-06 relative error = 0.0008372 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.18 Order of pole (three term test) = 32.89 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0829 0.175 h = 0.001 0.003 y[1] (numeric) = -0.183826150856 0.0819780814432 y[1] (closed_form) = -0.183825258938 0.0819794090796 absolute error = 1.599e-06 relative error = 0.0007946 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8539 Order of pole (three term test) = 32.89 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0819 0.178 h = 0.0001 0.004 y[1] (numeric) = -0.183448479069 0.0834300544347 y[1] (closed_form) = -0.183448055176 0.083431813519 absolute error = 1.809e-06 relative error = 0.0008979 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4842 Order of pole (three term test) = 32.89 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0818 0.182 h = 0.003 0.006 y[1] (numeric) = -0.183531276434 0.0853288108657 y[1] (closed_form) = -0.183531375454 0.0853304219904 absolute error = 1.614e-06 relative error = 0.0007975 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6449 Order of pole (three term test) = 32.89 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0788 0.188 h = 0.0001 0.005 y[1] (numeric) = -0.182309101011 0.0882741848625 y[1] (closed_form) = -0.182308484966 0.0882780823304 absolute error = 3.946e-06 relative error = 0.001948 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2877 Order of pole (three term test) = 32.9 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0787 0.193 h = 0.0001 0.003 y[1] (numeric) = -0.182432976808 0.0906557336768 y[1] (closed_form) = -0.1824325897 0.0906580908806 absolute error = 2.389e-06 relative error = 0.001173 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2332 Order of pole (three term test) = 32.9 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0786 0.196 h = 0.001 0.001 y[1] (numeric) = -0.182491089185 0.0920866168111 y[1] (closed_form) = -0.182490163787 0.0920886799786 absolute error = 2.261e-06 relative error = 0.001106 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1838 Order of pole (three term test) = 32.9 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0776 0.197 h = 0.0001 0.004 y[1] (numeric) = -0.182050686016 0.092598192214 y[1] (closed_form) = -0.182049547196 0.0926000206143 absolute error = 2.154e-06 relative error = 0.001055 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.104 Order of pole (three term test) = 32.9 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0775 0.201 h = 0.003 0.006 y[1] (numeric) = -0.182144866577 0.0945067504124 y[1] (closed_form) = -0.182144981671 0.0945088432652 absolute error = 2.096e-06 relative error = 0.001021 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6576 Order of pole (three term test) = 32.9 0 NO COMPLEX POLE (six term test) for Equation 1 memory used=72.2MB, alloc=52.3MB, time=0.90 x[1] = -5.0745 0.207 h = 0.0001 0.005 y[1] (numeric) = -0.180933656537 0.0974764535395 y[1] (closed_form) = -0.180932946768 0.0974808317679 absolute error = 4.435e-06 relative error = 0.002158 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2936 Order of pole (three term test) = 32.91 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0744 0.212 h = 0.0001 0.003 y[1] (numeric) = -0.181072442355 0.0998711613929 y[1] (closed_form) = -0.181072032015 0.0998739876344 absolute error = 2.856e-06 relative error = 0.001381 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2381 Order of pole (three term test) = 32.91 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0743 0.215 h = 0.001 0.001 y[1] (numeric) = -0.181139412532 0.101310191874 y[1] (closed_form) = -0.181138468881 0.101312696545 absolute error = 2.677e-06 relative error = 0.00129 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1877 Order of pole (three term test) = 32.91 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0733 0.216 h = 0.001 0.003 y[1] (numeric) = -0.180699412715 0.101827436172 y[1] (closed_form) = -0.180698262674 0.101829693436 absolute error = 2.533e-06 relative error = 0.001221 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.891 Order of pole (three term test) = 32.91 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0723 0.219 h = 0.0001 0.004 y[1] (numeric) = -0.180335951269 0.103302562612 y[1] (closed_form) = -0.180335240025 0.103305307789 absolute error = 2.836e-06 relative error = 0.001364 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5057 Order of pole (three term test) = 32.91 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0722 0.223 h = 0.003 0.006 y[1] (numeric) = -0.180444372951 0.105224379136 y[1] (closed_form) = -0.180444213087 0.105227022451 absolute error = 2.648e-06 relative error = 0.001268 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6742 Order of pole (three term test) = 32.91 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0692 0.229 h = 0.0001 0.005 y[1] (numeric) = -0.179244356618 0.108223522584 y[1] (closed_form) = -0.179243243531 0.108228449179 absolute error = 5.051e-06 relative error = 0.002412 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3013 Order of pole (three term test) = 32.92 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0691 0.234 h = 0.0001 0.003 y[1] (numeric) = -0.179399795487 0.110634804111 y[1] (closed_form) = -0.179399064356 0.11063816564 absolute error = 3.440e-06 relative error = 0.001632 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2445 Order of pole (three term test) = 32.92 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.069 0.237 h = 0.001 0.001 y[1] (numeric) = -0.179476643566 0.112084067445 y[1] (closed_form) = -0.179475385195 0.112087075251 absolute error = 3.260e-06 relative error = 0.001541 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1928 Order of pole (three term test) = 32.92 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.068 0.238 h = 0.001 0.003 y[1] (numeric) = -0.179036722982 0.112608028808 y[1] (closed_form) = -0.179035266556 0.112610774489 absolute error = 3.108e-06 relative error = 0.001469 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9154 Order of pole (three term test) = 32.92 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.067 0.241 h = 0.0001 0.004 y[1] (numeric) = -0.178680092571 0.114096487286 y[1] (closed_form) = -0.178679059172 0.114099751581 absolute error = 3.424e-06 relative error = 0.001615 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5198 Order of pole (three term test) = 32.92 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0669 0.245 h = 0.003 0.006 y[1] (numeric) = -0.178801638812 0.116032072408 y[1] (closed_form) = -0.178801172326 0.116035259821 absolute error = 3.221e-06 relative error = 0.001511 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6932 Order of pole (three term test) = 32.93 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0639 0.251 h = 0.0001 0.005 y[1] (numeric) = -0.177611569618 0.11906174369 y[1] (closed_form) = -0.177610020581 0.119067213108 absolute error = 5.685e-06 relative error = 0.002658 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3101 Order of pole (three term test) = 32.93 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0638 0.256 h = 0.0001 0.003 y[1] (numeric) = -0.177783170053 0.121490734498 y[1] (closed_form) = -0.177782086038 0.121494625147 absolute error = 4.039e-06 relative error = 0.001876 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2517 Order of pole (three term test) = 32.93 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0637 0.259 h = 0.001 0.001 y[1] (numeric) = -0.177869593077 0.12295090936 y[1] (closed_form) = -0.177867987734 0.122954413849 absolute error = 3.855e-06 relative error = 0.001783 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1986 Order of pole (three term test) = 32.93 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0627 0.26 h = 0.001 0.003 y[1] (numeric) = -0.17742942896 0.123481724078 y[1] (closed_form) = -0.177427633868 0.123484951558 absolute error = 3.693e-06 relative error = 0.001708 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9429 Order of pole (three term test) = 32.94 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0617 0.263 h = 0.0001 0.004 y[1] (numeric) = -0.177079119852 0.124984110041 y[1] (closed_form) = -0.17707773209 0.124987887173 absolute error = 4.024e-06 relative error = 0.001857 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5356 Order of pole (three term test) = 32.94 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0616 0.267 h = 0.003 0.006 y[1] (numeric) = -0.177213394656 0.126934374587 y[1] (closed_form) = -0.177212589615 0.126938099913 absolute error = 3.811e-06 relative error = 0.001748 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7146 Order of pole (three term test) = 32.94 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0586 0.273 h = 0.0001 0.005 y[1] (numeric) = -0.176032023448 0.129995677453 y[1] (closed_form) = -0.176030005503 0.130001684296 absolute error = 6.337e-06 relative error = 0.002896 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3199 Order of pole (three term test) = 32.94 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0585 0.278 h = 0.0001 0.003 y[1] (numeric) = -0.176219297201 0.132443524996 y[1] (closed_form) = -0.176217827925 0.132447938756 absolute error = 4.652e-06 relative error = 0.00211 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2598 Order of pole (three term test) = 32.95 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0584 0.281 h = 0.001 0.001 y[1] (numeric) = -0.176314994035 0.133915297268 y[1] (closed_form) = -0.176313009194 0.133919292133 absolute error = 4.461e-06 relative error = 0.002015 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2051 Order of pole (three term test) = 32.95 0 NO COMPLEX POLE (six term test) for Equation 1 memory used=116.1MB, alloc=52.3MB, time=1.41 x[1] = -5.0574 0.282 h = 0.001 0.003 y[1] (numeric) = -0.175874261907 0.134453104696 y[1] (closed_form) = -0.175872095603 0.134456807498 absolute error = 4.290e-06 relative error = 0.001938 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9737 Order of pole (three term test) = 32.95 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0564 0.285 h = 0.0001 0.004 y[1] (numeric) = -0.175529764006 0.13597002142 y[1] (closed_form) = -0.175527989392 0.135974305257 absolute error = 4.637e-06 relative error = 0.002088 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5533 Order of pole (three term test) = 32.95 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0563 0.289 h = 0.003 0.006 y[1] (numeric) = -0.175676373755 0.137935885873 y[1] (closed_form) = -0.175675197949 0.137940143094 absolute error = 4.417e-06 relative error = 0.001977 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7384 Order of pole (three term test) = 32.95 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0533 0.295 h = 0.0001 0.005 y[1] (numeric) = -0.17450244797 0.141029940525 y[1] (closed_form) = -0.174499927819 0.141036479532 absolute error = 7.008e-06 relative error = 0.003123 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3308 Order of pole (three term test) = 32.96 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0532 0.3 h = 0.0001 0.003 y[1] (numeric) = -0.174704909541 0.143497804508 y[1] (closed_form) = -0.174703022329 0.143502735518 absolute error = 5.280e-06 relative error = 0.002335 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2688 Order of pole (three term test) = 32.96 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0531 0.303 h = 0.001 0.001 y[1] (numeric) = -0.174809580571 0.144981867522 y[1] (closed_form) = -0.174807183422 0.144986346591 absolute error = 5.080e-06 relative error = 0.002237 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2122 Order of pole (three term test) = 32.96 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0521 0.304 h = 0.0001 0.004 y[1] (numeric) = -0.174367954067 0.145526810074 y[1] (closed_form) = -0.174365383724 0.14553098185 absolute error = 4.900e-06 relative error = 0.002157 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.275 Order of pole (three term test) = 32.96 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.052 0.308 h = 0.003 0.006 y[1] (numeric) = -0.174524386789 0.147506104232 y[1] (closed_form) = -0.174523111425 0.147510873283 absolute error = 4.937e-06 relative error = 0.00216 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7612 Order of pole (three term test) = 32.97 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.049 0.314 h = 0.0001 0.005 y[1] (numeric) = -0.173356272146 0.150629191969 y[1] (closed_form) = -0.1733535384 0.150636245206 absolute error = 7.564e-06 relative error = 0.003294 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3412 Order of pole (three term test) = 32.97 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0489 0.319 h = 0.0001 0.003 y[1] (numeric) = -0.173571677318 0.153115050668 y[1] (closed_form) = -0.173569649389 0.153120481589 absolute error = 5.797e-06 relative error = 0.002505 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2773 Order of pole (three term test) = 32.97 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0488 0.322 h = 0.001 0.001 y[1] (numeric) = -0.173683991848 0.15461015215 y[1] (closed_form) = -0.173681458323 0.154615102359 absolute error = 5.561e-06 relative error = 0.002391 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2189 Order of pole (three term test) = 32.98 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0478 0.323 h = 0.001 0.003 y[1] (numeric) = -0.173241419931 0.155161368725 y[1] (closed_form) = -0.173238720141 0.155165998288 absolute error = 5.359e-06 relative error = 0.002304 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.04 Order of pole (three term test) = 32.98 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0468 0.326 h = 0.0001 0.004 y[1] (numeric) = -0.17290656531 0.156706902052 y[1] (closed_form) = -0.172904228594 0.15671217219 absolute error = 5.765e-06 relative error = 0.00247 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5912 Order of pole (three term test) = 32.98 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0467 0.33 h = 0.003 0.006 y[1] (numeric) = -0.173075298579 0.158704142712 y[1] (closed_form) = -0.173073591654 0.158709433256 absolute error = 5.559e-06 relative error = 0.002367 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7894 Order of pole (three term test) = 32.98 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0437 0.336 h = 0.0001 0.005 y[1] (numeric) = -0.171912300512 0.161862126259 y[1] (closed_form) = -0.171909001594 0.161869702601 absolute error = 8.263e-06 relative error = 0.0035 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3541 Order of pole (three term test) = 32.99 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0436 0.341 h = 0.0001 0.003 y[1] (numeric) = -0.172142009908 0.164370199106 y[1] (closed_form) = -0.172139502338 0.16437613713 absolute error = 6.446e-06 relative error = 0.002708 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2879 Order of pole (three term test) = 32.99 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0435 0.344 h = 0.001 0.001 y[1] (numeric) = -0.172262752637 0.165878905676 y[1] (closed_form) = -0.172259744865 0.165884329329 absolute error = 6.202e-06 relative error = 0.002593 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2273 Order of pole (three term test) = 32.99 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0425 0.345 h = 0.001 0.003 y[1] (numeric) = -0.17181867518 0.166437534414 y[1] (closed_form) = -0.171815509404 0.166442621851 absolute error = 5.992e-06 relative error = 0.002505 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.08 Order of pole (three term test) = 32.99 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0415 0.348 h = 0.0001 0.004 y[1] (numeric) = -0.17148817464 0.167999375068 y[1] (closed_form) = -0.171485356386 0.168005135511 absolute error = 6.413e-06 relative error = 0.002671 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6141 Order of pole (three term test) = 33 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0414 0.352 h = 0.003 0.006 y[1] (numeric) = -0.171668137796 0.170014909864 y[1] (closed_form) = -0.171665966225 0.170020716305 absolute error = 6.199e-06 relative error = 0.002566 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8201 Order of pole (three term test) = 33 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0384 0.358 h = 0.0001 0.005 y[1] (numeric) = -0.170508989569 0.173208957786 y[1] (closed_form) = -0.170505091136 0.173217052308 absolute error = 8.984e-06 relative error = 0.003696 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.368 Order of pole (three term test) = 33 0 NO COMPLEX POLE (six term test) for Equation 1 memory used=159.9MB, alloc=52.3MB, time=1.92 x[1] = -5.0383 0.363 h = 0.0001 0.003 y[1] (numeric) = -0.170752522994 0.17574044184 y[1] (closed_form) = -0.170749502182 0.175746881481 absolute error = 7.113e-06 relative error = 0.002903 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2993 Order of pole (three term test) = 33.01 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0382 0.366 h = 0.001 0.001 y[1] (numeric) = -0.170881397112 0.177263469513 y[1] (closed_form) = -0.170877881386 0.17726936077 absolute error = 6.861e-06 relative error = 0.002786 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2363 Order of pole (three term test) = 33.01 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0372 0.367 h = 0.001 0.003 y[1] (numeric) = -0.170435481369 0.177829661539 y[1] (closed_form) = -0.170431815904 0.17783520082 absolute error = 6.642e-06 relative error = 0.002697 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.123 Order of pole (three term test) = 33.01 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0362 0.37 h = 0.0001 0.004 y[1] (numeric) = -0.170108819979 0.179408444519 y[1] (closed_form) = -0.170105486486 0.179414689626 absolute error = 7.079e-06 relative error = 0.002863 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6387 Order of pole (three term test) = 33.01 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0361 0.374 h = 0.003 0.006 y[1] (numeric) = -0.170299625012 0.18144323435 y[1] (closed_form) = -0.170296955378 0.181449551219 absolute error = 6.858e-06 relative error = 0.002756 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8531 Order of pole (three term test) = 33.02 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0331 0.38 h = 0.0001 0.005 y[1] (numeric) = -0.169143053234 0.184674532552 y[1] (closed_form) = -0.169138520549 0.184683140425 absolute error = 9.728e-06 relative error = 0.003885 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.383 Order of pole (three term test) = 33.02 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.033 0.385 h = 0.0001 0.003 y[1] (numeric) = -0.169399931332 0.187230638771 y[1] (closed_form) = -0.169396363328 0.18723757465 absolute error = 7.800e-06 relative error = 0.003089 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3115 Order of pole (three term test) = 33.03 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0329 0.388 h = 0.001 0.001 y[1] (numeric) = -0.169536640401 0.188768711985 y[1] (closed_form) = -0.169532582671 0.188775065102 absolute error = 7.538e-06 relative error = 0.002971 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.246 Order of pole (three term test) = 33.03 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0319 0.389 h = 0.001 0.003 y[1] (numeric) = -0.169088551022 0.189342621443 y[1] (closed_form) = -0.169084351833 0.18934860663 absolute error = 7.311e-06 relative error = 0.00288 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.169 Order of pole (three term test) = 33.03 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0309 0.392 h = 0.0001 0.004 y[1] (numeric) = -0.168765211648 0.19093899037 y[1] (closed_form) = -0.168761328868 0.1909457146 absolute error = 7.765e-06 relative error = 0.003047 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6651 Order of pole (three term test) = 33.03 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0308 0.396 h = 0.003 0.006 y[1] (numeric) = -0.168966471003 0.192994007442 y[1] (closed_form) = -0.168963269544 0.193000829386 absolute error = 7.536e-06 relative error = 0.002938 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8885 Order of pole (three term test) = 33.04 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0278 0.402 h = 0.0001 0.005 y[1] (numeric) = -0.167811194771 0.196263759414 y[1] (closed_form) = -0.167805992687 0.196272875895 absolute error = 1.050e-05 relative error = 0.004065 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3991 Order of pole (three term test) = 33.04 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0277 0.407 h = 0.0001 0.003 y[1] (numeric) = -0.16808093853 0.198845713094 y[1] (closed_form) = -0.168076789016 0.19885313993 absolute error = 8.507e-06 relative error = 0.003267 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3246 Order of pole (three term test) = 33.05 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0276 0.41 h = 0.001 0.001 y[1] (numeric) = -0.168225186172 0.200399564973 y[1] (closed_form) = -0.168220552033 0.200406374291 absolute error = 8.237e-06 relative error = 0.003148 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2564 Order of pole (three term test) = 33.05 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0266 0.411 h = 0.0001 0.004 y[1] (numeric) = -0.167774585017 0.20098134902 y[1] (closed_form) = -0.167769817721 0.200987774251 absolute error = 8.001e-06 relative error = 0.003056 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.542 Order of pole (three term test) = 33.05 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0265 0.415 h = 0.003 0.006 y[1] (numeric) = -0.167984139851 0.203053622555 y[1] (closed_form) = -0.167980719328 0.203060991418 absolute error = 8.124e-06 relative error = 0.003083 % Correct digits = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9212 Order of pole (three term test) = 33.05 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0235 0.421 h = 0.0001 0.005 y[1] (numeric) = -0.166829424597 0.206357457068 y[1] (closed_form) = -0.166823883925 0.206367125638 absolute error = 1.114e-05 relative error = 0.004199 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4139 Order of pole (three term test) = 33.06 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0234 0.426 h = 0.0001 0.003 y[1] (numeric) = -0.167110187029 0.208962506353 y[1] (closed_form) = -0.167105775059 0.208970468603 absolute error = 9.103e-06 relative error = 0.003402 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3367 Order of pole (three term test) = 33.06 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0233 0.429 h = 0.001 0.001 y[1] (numeric) = -0.167260886122 0.210530448887 y[1] (closed_form) = -0.167255993435 0.210537763325 absolute error = 8.800e-06 relative error = 0.003273 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.266 Order of pole (three term test) = 33.07 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0223 0.43 h = 0.001 0.003 y[1] (numeric) = -0.166807946274 0.211119174714 y[1] (closed_form) = -0.166802927403 0.211126090894 absolute error = 8.545e-06 relative error = 0.003176 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.264 Order of pole (three term test) = 33.07 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0213 0.433 h = 0.0001 0.004 y[1] (numeric) = -0.166489630881 0.212749985349 y[1] (closed_form) = -0.166484899781 0.212757703673 absolute error = 9.053e-06 relative error = 0.003351 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7193 Order of pole (three term test) = 33.07 0 NO COMPLEX POLE (six term test) for Equation 1 memory used=203.9MB, alloc=52.3MB, time=2.44 x[1] = -5.0212 0.437 h = 0.003 0.006 y[1] (numeric) = -0.166709580498 0.214845154735 y[1] (closed_form) = -0.166705564295 0.214853019399 absolute error = 8.831e-06 relative error = 0.003247 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9611 Order of pole (three term test) = 33.07 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0182 0.443 h = 0.0001 0.005 y[1] (numeric) = -0.165553769207 0.218189745603 y[1] (closed_form) = -0.165547492543 0.218199914579 absolute error = 1.195e-05 relative error = 0.004363 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.432 Order of pole (three term test) = 33.08 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0181 0.448 h = 0.0001 0.003 y[1] (numeric) = -0.16584652017 0.220822967754 y[1] (closed_form) = -0.165841461753 0.220831411783 absolute error = 9.843e-06 relative error = 0.003564 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3515 Order of pole (three term test) = 33.09 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.018 0.451 h = 0.001 0.001 y[1] (numeric) = -0.166004214454 0.222408080704 y[1] (closed_form) = -0.165998680283 0.222415841419 absolute error = 9.532e-06 relative error = 0.003434 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2776 Order of pole (three term test) = 33.09 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.017 0.452 h = 0.001 0.003 y[1] (numeric) = -0.165548127504 0.223004985657 y[1] (closed_form) = -0.165542475507 0.223012331569 absolute error = 9.269e-06 relative error = 0.003337 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.32 Order of pole (three term test) = 33.09 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.016 0.455 h = 0.0001 0.004 y[1] (numeric) = -0.165231647139 0.224655278929 y[1] (closed_form) = -0.165226267235 0.22466346141 absolute error = 9.793e-06 relative error = 0.003511 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.751 Order of pole (three term test) = 33.09 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0159 0.459 h = 0.003 0.006 y[1] (numeric) = -0.16546095331 0.226773527067 y[1] (closed_form) = -0.165456306596 0.22678188246 absolute error = 9.561e-06 relative error = 0.003406 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.004 Order of pole (three term test) = 33.1 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0129 0.465 h = 0.0001 0.005 y[1] (numeric) = -0.164302739003 0.230160129608 y[1] (closed_form) = -0.164295689949 0.230170794443 absolute error = 1.278e-05 relative error = 0.004521 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4511 Order of pole (three term test) = 33.11 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0128 0.47 h = 0.0001 0.003 y[1] (numeric) = -0.164606997854 0.232822793447 y[1] (closed_form) = -0.16460125755 0.232831714203 absolute error = 1.061e-05 relative error = 0.00372 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3671 Order of pole (three term test) = 33.11 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0127 0.473 h = 0.001 0.001 y[1] (numeric) = -0.164771389551 0.23442583628 y[1] (closed_form) = -0.164765178396 0.234434037797 absolute error = 1.029e-05 relative error = 0.00359 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.29 Order of pole (three term test) = 33.11 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0117 0.474 h = 0.001 0.003 y[1] (numeric) = -0.16431180835 0.235031086134 y[1] (closed_form) = -0.164305487771 0.235038856087 absolute error = 1.002e-05 relative error = 0.003493 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.378 Order of pole (three term test) = 33.11 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0107 0.477 h = 0.0001 0.004 y[1] (numeric) = -0.163996633845 0.236701540639 y[1] (closed_form) = -0.16399056961 0.236710182032 absolute error = 1.056e-05 relative error = 0.003666 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7845 Order of pole (three term test) = 33.12 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0106 0.481 h = 0.003 0.006 y[1] (numeric) = -0.164234907103 0.238843886765 y[1] (closed_form) = -0.164229594645 0.238852727892 absolute error = 1.031e-05 relative error = 0.003558 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.048 Order of pole (three term test) = 33.12 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0076 0.487 h = 0.0001 0.005 y[1] (numeric) = -0.163072971908 0.242273774893 y[1] (closed_form) = -0.163065113596 0.242284931083 absolute error = 1.365e-05 relative error = 0.004673 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4714 Order of pole (three term test) = 33.13 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0075 0.492 h = 0.0001 0.003 y[1] (numeric) = -0.163388256385 0.244967165347 y[1] (closed_form) = -0.16338179833 0.244976557838 absolute error = 1.140e-05 relative error = 0.003871 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3836 Order of pole (three term test) = 33.13 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0074 0.495 h = 0.001 0.001 y[1] (numeric) = -0.163559046586 0.246588907265 y[1] (closed_form) = -0.163552122537 0.246597544155 absolute error = 1.107e-05 relative error = 0.003741 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.303 Order of pole (three term test) = 33.14 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0064 0.496 h = 0.001 0.003 y[1] (numeric) = -0.163095620444 0.247202670784 y[1] (closed_form) = -0.163088595425 0.247210859127 absolute error = 1.079e-05 relative error = 0.003643 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.441 Order of pole (three term test) = 33.14 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0054 0.499 h = 0.0001 0.004 y[1] (numeric) = -0.162781218525 0.248893974618 y[1] (closed_form) = -0.162774434013 0.248903069727 absolute error = 1.135e-05 relative error = 0.003815 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8199 Order of pole (three term test) = 33.14 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0053 0.503 h = 0.003 0.006 y[1] (numeric) = -0.16302806787 0.251061451045 y[1] (closed_form) = -0.16302205402 0.251070772978 absolute error = 1.109e-05 relative error = 0.003706 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.096 Order of pole (three term test) = 33.15 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0023 0.509 h = 0.0001 0.005 y[1] (numeric) = -0.161861082124 0.25453591754 y[1] (closed_form) = -0.161852377206 0.25454756062 absolute error = 1.454e-05 relative error = 0.004819 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4928 Order of pole (three term test) = 33.16 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0022 0.514 h = 0.0001 0.003 y[1] (numeric) = -0.162186907827 0.257261336117 y[1] (closed_form) = -0.162179695721 0.2572711954 absolute error = 1.222e-05 relative error = 0.004017 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.401 Order of pole (three term test) = 33.16 0 NO COMPLEX POLE (six term test) for Equation 1 memory used=247.8MB, alloc=52.3MB, time=2.95 x[1] = -5.0021 0.517 h = 0.001 0.001 y[1] (numeric) = -0.16236379618 0.258902556341 y[1] (closed_form) = -0.162356122901 0.258911623206 absolute error = 1.188e-05 relative error = 0.003887 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3168 Order of pole (three term test) = 33.16 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.0011 0.518 h = 0.0001 0.004 y[1] (numeric) = -0.161896170671 0.259525005276 y[1] (closed_form) = -0.161888404933 0.259533606382 absolute error = 1.159e-05 relative error = 0.003788 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.906 Order of pole (three term test) = 33.17 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -5.001 0.522 h = 0.003 0.006 y[1] (numeric) = -0.162149783305 0.261713796749 y[1] (closed_form) = -0.162143425528 0.261723705402 absolute error = 1.177e-05 relative error = 0.003824 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.139 Order of pole (three term test) = 33.17 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.998 0.528 h = 0.0001 0.005 y[1] (numeric) = -0.160977928112 0.265227766603 y[1] (closed_form) = -0.160968752937 0.265240003744 absolute error = 1.529e-05 relative error = 0.00493 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5123 Order of pole (three term test) = 33.18 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9979 0.533 h = 0.0001 0.003 y[1] (numeric) = -0.161312840369 0.267981691481 y[1] (closed_form) = -0.161305238305 0.267992126032 absolute error = 1.291e-05 relative error = 0.004127 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4169 Order of pole (three term test) = 33.19 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9978 0.536 h = 0.001 0.001 y[1] (numeric) = -0.161494980806 0.269640242079 y[1] (closed_form) = -0.161486921252 0.26964985209 absolute error = 1.254e-05 relative error = 0.00399 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3293 Order of pole (three term test) = 33.19 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9968 0.537 h = 0.001 0.003 y[1] (numeric) = -0.161023560103 0.270270362779 y[1] (closed_form) = -0.16101541526 0.270279491927 absolute error = 1.223e-05 relative error = 0.003889 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.566 Order of pole (three term test) = 33.19 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9958 0.54 h = 0.0001 0.004 y[1] (numeric) = -0.160709428868 0.272002333065 y[1] (closed_form) = -0.160701495218 0.272012436167 absolute error = 1.285e-05 relative error = 0.004066 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8913 Order of pole (three term test) = 33.19 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9957 0.544 h = 0.003 0.006 y[1] (numeric) = -0.160971517679 0.274219273978 y[1] (closed_form) = -0.160964390955 0.274229654842 absolute error = 1.259e-05 relative error = 0.00396 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.191 Order of pole (three term test) = 33.2 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9927 0.55 h = 0.0001 0.005 y[1] (numeric) = -0.159792119185 0.277780295152 y[1] (closed_form) = -0.159782026509 0.277793011385 absolute error = 1.623e-05 relative error = 0.005066 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5359 Order of pole (three term test) = 33.21 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9926 0.555 h = 0.0001 0.003 y[1] (numeric) = -0.160136679809 0.280568721591 y[1] (closed_form) = -0.160128254873 0.280579614266 absolute error = 1.377e-05 relative error = 0.004263 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4361 Order of pole (three term test) = 33.21 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9925 0.558 h = 0.001 0.001 y[1] (numeric) = -0.160324364155 0.282248231717 y[1] (closed_form) = -0.160315486505 0.282258262153 absolute error = 1.339e-05 relative error = 0.004126 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3445 Order of pole (three term test) = 33.22 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9915 0.559 h = 0.001 0.003 y[1] (numeric) = -0.159848076066 0.282887369685 y[1] (closed_form) = -0.159839121765 0.282896901604 absolute error = 1.308e-05 relative error = 0.004025 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.638 Order of pole (three term test) = 33.22 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9905 0.562 h = 0.0001 0.004 y[1] (numeric) = -0.159533174127 0.284642218478 y[1] (closed_form) = -0.159524414857 0.284652761057 absolute error = 1.371e-05 relative error = 0.004201 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9325 Order of pole (three term test) = 33.22 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9904 0.566 h = 0.003 0.006 y[1] (numeric) = -0.159802721098 0.286887323298 y[1] (closed_form) = -0.159794788502 0.28689817158 absolute error = 1.344e-05 relative error = 0.004092 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.246 Order of pole (three term test) = 33.23 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9874 0.572 h = 0.0001 0.005 y[1] (numeric) = -0.158614411095 0.290496744284 y[1] (closed_form) = -0.158603362095 0.29050993519 absolute error = 1.721e-05 relative error = 0.005199 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5607 Order of pole (three term test) = 33.24 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9873 0.577 h = 0.0001 0.003 y[1] (numeric) = -0.158968126868 0.293321023949 y[1] (closed_form) = -0.158958841424 0.293332369888 absolute error = 1.466e-05 relative error = 0.004394 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4563 Order of pole (three term test) = 33.25 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9872 0.58 h = 0.001 0.001 y[1] (numeric) = -0.159161049001 0.295022303103 y[1] (closed_form) = -0.159151315614 0.295032748601 absolute error = 1.428e-05 relative error = 0.004259 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3605 Order of pole (three term test) = 33.25 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9862 0.581 h = 0.001 0.003 y[1] (numeric) = -0.158679527316 0.295670638656 y[1] (closed_form) = -0.158669725998 0.295680567741 absolute error = 1.395e-05 relative error = 0.004158 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.714 Order of pole (three term test) = 33.25 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9852 0.584 h = 0.0001 0.004 y[1] (numeric) = -0.158363301841 0.297449092591 y[1] (closed_form) = -0.158353679244 0.297460069548 absolute error = 1.460e-05 relative error = 0.004332 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9757 Order of pole (three term test) = 33.26 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9851 0.588 h = 0.003 0.006 y[1] (numeric) = -0.158639906267 0.299723447776 y[1] (closed_form) = -0.158631130398 0.299734758708 absolute error = 1.432e-05 relative error = 0.004222 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.304 Order of pole (three term test) = 33.26 0 NO COMPLEX POLE (six term test) for Equation 1 memory used=291.8MB, alloc=52.3MB, time=3.46 x[1] = -4.9821 0.594 h = 0.0001 0.005 y[1] (numeric) = -0.157441301196 0.303382637058 y[1] (closed_form) = -0.157429256504 0.30339629821 absolute error = 1.821e-05 relative error = 0.005328 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5867 Order of pole (three term test) = 33.27 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.982 0.599 h = 0.0001 0.003 y[1] (numeric) = -0.157803674714 0.306244140094 y[1] (closed_form) = -0.157793490627 0.30625593444 absolute error = 1.558e-05 relative error = 0.004523 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4775 Order of pole (three term test) = 33.28 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9819 0.602 h = 0.001 0.001 y[1] (numeric) = -0.158001525823 0.30796800892 y[1] (closed_form) = -0.15799089857 0.30797886411 absolute error = 1.519e-05 relative error = 0.004389 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3772 Order of pole (three term test) = 33.28 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9809 0.603 h = 0.001 0.003 y[1] (numeric) = -0.157514399803 0.308625725351 y[1] (closed_form) = -0.157503713427 0.308636045979 absolute error = 1.486e-05 relative error = 0.004288 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.793 Order of pole (three term test) = 33.28 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9799 0.606 h = 0.0001 0.004 y[1] (numeric) = -0.15719629185 0.310428521516 y[1] (closed_form) = -0.157185767724 0.310439927748 absolute error = 1.552e-05 relative error = 0.00446 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.021 Order of pole (three term test) = 33.29 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9798 0.61 h = 0.003 0.006 y[1] (numeric) = -0.15747954942 0.312733228505 y[1] (closed_form) = -0.157469892383 0.312744997334 absolute error = 1.522e-05 relative error = 0.004348 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.365 Order of pole (three term test) = 33.29 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9768 0.616 h = 0.0001 0.005 y[1] (numeric) = -0.156269249423 0.316443574854 y[1] (closed_form) = -0.156256169106 0.316457701809 absolute error = 1.925e-05 relative error = 0.005455 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6141 Order of pole (three term test) = 33.31 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9767 0.621 h = 0.0001 0.003 y[1] (numeric) = -0.156639778547 0.319343690399 y[1] (closed_form) = -0.156628657167 0.31935592829 absolute error = 1.654e-05 relative error = 0.004649 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4997 Order of pole (three term test) = 33.31 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9766 0.624 h = 0.001 0.001 y[1] (numeric) = -0.156842246799 0.32109098099 y[1] (closed_form) = -0.156830687048 0.32110224048 absolute error = 1.614e-05 relative error = 0.004516 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3948 Order of pole (three term test) = 33.32 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9756 0.625 h = 0.0001 0.004 y[1] (numeric) = -0.156349140961 0.32175826456 y[1] (closed_form) = -0.156337530994 0.321768971081 absolute error = 1.579e-05 relative error = 0.004415 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.375 Order of pole (three term test) = 33.32 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9755 0.629 h = 0.003 0.006 y[1] (numeric) = -0.156637586186 0.324088612479 y[1] (closed_form) = -0.156627453435 0.32410101229 absolute error = 1.601e-05 relative error = 0.004449 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.419 Order of pole (three term test) = 33.32 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9725 0.635 h = 0.0001 0.005 y[1] (numeric) = -0.15541671774 0.327844283258 y[1] (closed_form) = -0.155403027168 0.327859050096 absolute error = 2.014e-05 relative error = 0.00555 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6388 Order of pole (three term test) = 33.34 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9724 0.64 h = 0.0001 0.003 y[1] (numeric) = -0.155794343649 0.330778673513 y[1] (closed_form) = -0.155782697452 0.330791530612 absolute error = 1.735e-05 relative error = 0.004744 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5198 Order of pole (three term test) = 33.34 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9723 0.643 h = 0.001 0.001 y[1] (numeric) = -0.156000826631 0.332546750182 y[1] (closed_form) = -0.155988745733 0.332558594602 absolute error = 1.692e-05 relative error = 0.004606 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4107 Order of pole (three term test) = 33.35 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9713 0.644 h = 0.001 0.003 y[1] (numeric) = -0.155502386147 0.333222497656 y[1] (closed_form) = -0.155490262561 0.333233772944 absolute error = 1.656e-05 relative error = 0.004502 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.953 Order of pole (three term test) = 33.35 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9703 0.647 h = 0.0001 0.004 y[1] (numeric) = -0.15517957619 0.33507262594 y[1] (closed_form) = -0.155167584178 0.335085058672 absolute error = 1.727e-05 relative error = 0.004678 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.112 Order of pole (three term test) = 33.36 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9702 0.651 h = 0.003 0.006 y[1] (numeric) = -0.155474516692 0.337436727408 y[1] (closed_form) = -0.155463430838 0.337449576738 absolute error = 1.697e-05 relative error = 0.004568 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.486 Order of pole (three term test) = 33.36 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9672 0.657 h = 0.0001 0.005 y[1] (numeric) = -0.154239318946 0.341246211669 y[1] (closed_form) = -0.154224516831 0.341261436447 absolute error = 2.123e-05 relative error = 0.00567 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6686 Order of pole (three term test) = 33.37 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9671 0.662 h = 0.0001 0.003 y[1] (numeric) = -0.154624168705 0.344221857749 y[1] (closed_form) = -0.154611511815 0.344235149771 absolute error = 1.835e-05 relative error = 0.004864 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5441 Order of pole (three term test) = 33.38 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.967 0.665 h = 0.001 0.001 y[1] (numeric) = -0.154834689638 0.346014939855 y[1] (closed_form) = -0.154821602896 0.346027178918 absolute error = 1.792e-05 relative error = 0.004727 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4298 Order of pole (three term test) = 33.39 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.966 0.666 h = 0.001 0.003 y[1] (numeric) = -0.15432955959 0.346700613569 y[1] (closed_form) = -0.154316439268 0.346712264596 absolute error = 1.755e-05 relative error = 0.004624 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.044 Order of pole (three term test) = 33.39 0 NO COMPLEX POLE (six term test) for Equation 1 memory used=335.6MB, alloc=52.3MB, time=3.97 x[1] = -4.965 0.669 h = 0.0001 0.004 y[1] (numeric) = -0.154003239797 0.348577259242 y[1] (closed_form) = -0.153990234026 0.348590107008 absolute error = 1.828e-05 relative error = 0.004797 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.164 Order of pole (three term test) = 33.39 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9649 0.673 h = 0.003 0.006 y[1] (numeric) = -0.154303666691 0.350974954884 y[1] (closed_form) = -0.154291588341 0.350988248965 absolute error = 1.796e-05 relative error = 0.004685 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.555 Order of pole (three term test) = 33.4 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9619 0.679 h = 0.0001 0.005 y[1] (numeric) = -0.153052688052 0.354839701388 y[1] (closed_form) = -0.153036732751 0.354855379554 absolute error = 2.237e-05 relative error = 0.005788 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6999 Order of pole (three term test) = 33.41 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9618 0.684 h = 0.0001 0.003 y[1] (numeric) = -0.153444243149 0.35785804971 y[1] (closed_form) = -0.153430535353 0.357871771724 absolute error = 1.940e-05 relative error = 0.004981 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5695 Order of pole (three term test) = 33.42 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9617 0.687 h = 0.001 0.001 y[1] (numeric) = -0.153658479835 0.359677003857 y[1] (closed_form) = -0.153644347085 0.359689632051 absolute error = 1.895e-05 relative error = 0.004846 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4499 Order of pole (three term test) = 33.43 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9607 0.688 h = 0.001 0.003 y[1] (numeric) = -0.153146270012 0.36037279862 y[1] (closed_form) = -0.153132112913 0.360384819598 absolute error = 1.857e-05 relative error = 0.004743 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.139 Order of pole (three term test) = 33.43 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9597 0.691 h = 0.0001 0.004 y[1] (numeric) = -0.15281585394 0.362276741186 y[1] (closed_form) = -0.152801794142 0.362289998769 absolute error = 1.932e-05 relative error = 0.004915 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.218 Order of pole (three term test) = 33.43 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9596 0.695 h = 0.003 0.006 y[1] (numeric) = -0.153121345012 0.36470919423 y[1] (closed_form) = -0.153108234216 0.364722928267 absolute error = 1.899e-05 relative error = 0.0048 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.628 Order of pole (three term test) = 33.44 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9566 0.701 h = 0.0001 0.005 y[1] (numeric) = -0.151853113802 0.368630673252 y[1] (closed_form) = -0.151835963043 0.368646800193 absolute error = 2.354e-05 relative error = 0.005905 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7326 Order of pole (three term test) = 33.45 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9565 0.706 h = 0.0001 0.003 y[1] (numeric) = -0.152250848825 0.371693191268 y[1] (closed_form) = -0.152236049331 0.371707338294 absolute error = 2.047e-05 relative error = 0.005097 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5961 Order of pole (three term test) = 33.46 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9564 0.709 h = 0.001 0.001 y[1] (numeric) = -0.152468474726 0.373538896723 y[1] (closed_form) = -0.152453255238 0.373551908469 absolute error = 2.002e-05 relative error = 0.004963 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4709 Order of pole (three term test) = 33.47 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9554 0.71 h = 0.001 0.003 y[1] (numeric) = -0.151948789329 0.374245010308 y[1] (closed_form) = -0.151933554852 0.374257395376 absolute error = 1.963e-05 relative error = 0.004861 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.239 Order of pole (three term test) = 33.47 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9544 0.713 h = 0.0001 0.004 y[1] (numeric) = -0.151613682299 0.376177040756 y[1] (closed_form) = -0.15159852763 0.376190702883 absolute error = 2.040e-05 relative error = 0.005031 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.275 Order of pole (three term test) = 33.48 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9543 0.717 h = 0.003 0.006 y[1] (numeric) = -0.151923809539 0.378645431459 y[1] (closed_form) = -0.151909625775 0.378659600616 absolute error = 2.005e-05 relative error = 0.004914 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.704 Order of pole (three term test) = 33.48 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9513 0.723 h = 0.0001 0.005 y[1] (numeric) = -0.150636832985 0.382625135117 y[1] (closed_form) = -0.150618443845 0.382641706147 absolute error = 2.475e-05 relative error = 0.00602 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7669 Order of pole (three term test) = 33.5 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9512 0.728 h = 0.0001 0.003 y[1] (numeric) = -0.151040215035 0.385733311859 y[1] (closed_form) = -0.151024282454 0.385747878853 absolute error = 2.159e-05 relative error = 0.005211 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.624 Order of pole (three term test) = 33.51 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9511 0.731 h = 0.001 0.001 y[1] (numeric) = -0.151260898922 0.387606660875 y[1] (closed_form) = -0.15124455138 0.387620050516 absolute error = 2.113e-05 relative error = 0.005079 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4929 Order of pole (three term test) = 33.51 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9501 0.732 h = 0.0001 0.004 y[1] (numeric) = -0.150733336336 0.388323294014 y[1] (closed_form) = -0.150716983304 0.388336037226 absolute error = 2.073e-05 relative error = 0.004977 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.966 Order of pole (three term test) = 33.52 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.95 0.736 h = 0.003 0.006 y[1] (numeric) = -0.151046991481 0.390821956969 y[1] (closed_form) = -0.151032191625 0.390836805586 absolute error = 2.096e-05 relative error = 0.005003 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.772 Order of pole (three term test) = 33.52 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.947 0.742 h = 0.0001 0.005 y[1] (numeric) = -0.149743385492 0.394853238126 y[1] (closed_form) = -0.149724236007 0.394870498439 absolute error = 2.578e-05 relative error = 0.006105 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7978 Order of pole (three term test) = 33.54 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9469 0.747 h = 0.0001 0.003 y[1] (numeric) = -0.150151763872 0.398001867157 y[1] (closed_form) = -0.150135162557 0.398017101121 absolute error = 2.253e-05 relative error = 0.005297 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6491 Order of pole (three term test) = 33.55 0 NO COMPLEX POLE (six term test) for Equation 1 memory used=379.6MB, alloc=52.3MB, time=4.48 x[1] = -4.9468 0.75 h = 0.001 0.001 y[1] (numeric) = -0.150375154884 0.399899704516 y[1] (closed_form) = -0.150358142496 0.399913724343 absolute error = 2.204e-05 relative error = 0.00516 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5128 Order of pole (three term test) = 33.55 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9458 0.751 h = 0.001 0.003 y[1] (numeric) = -0.149840614282 0.400625655994 y[1] (closed_form) = -0.149823604459 0.400639012038 absolute error = 2.163e-05 relative error = 0.005056 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.438 Order of pole (three term test) = 33.56 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9448 0.754 h = 0.0001 0.004 y[1] (numeric) = -0.149495522994 0.402612169993 y[1] (closed_form) = -0.149478560218 0.402626880196 absolute error = 2.245e-05 relative error = 0.005228 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.388 Order of pole (three term test) = 33.56 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9447 0.758 h = 0.0001 0.004 y[1] (numeric) = -0.149813578178 0.405150590856 y[1] (closed_form) = -0.149797628307 0.405165865947 absolute error = 2.208e-05 relative error = 0.005113 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.107 Order of pole (three term test) = 33.57 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9446 0.762 h = 0.003 0.006 y[1] (numeric) = -0.1501347174 0.407696175055 y[1] (closed_form) = -0.150118767529 0.407711450147 absolute error = 2.208e-05 relative error = 0.005083 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.871 Order of pole (three term test) = 33.58 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9416 0.768 h = 0.0001 0.005 y[1] (numeric) = -0.148807967731 0.411800089303 y[1] (closed_form) = -0.148787468821 0.411817793244 absolute error = 2.709e-05 relative error = 0.006186 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8421 Order of pole (three term test) = 33.59 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9415 0.773 h = 0.0001 0.003 y[1] (numeric) = -0.149223584307 0.415005594674 y[1] (closed_form) = -0.149205759816 0.415021239132 absolute error = 2.372e-05 relative error = 0.005378 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6852 Order of pole (three term test) = 33.6 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9414 0.776 h = 0.001 0.001 y[1] (numeric) = -0.149450913065 0.41693786009 y[1] (closed_form) = -0.149432681982 0.416952239399 absolute error = 2.322e-05 relative error = 0.005242 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5412 Order of pole (three term test) = 33.61 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9404 0.777 h = 0.001 0.003 y[1] (numeric) = -0.148906608577 0.417676954815 y[1] (closed_form) = -0.148888390784 0.417690646121 absolute error = 2.279e-05 relative error = 0.005139 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.574 Order of pole (three term test) = 33.61 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9394 0.78 h = 0.0001 0.004 y[1] (numeric) = -0.148555059917 0.419699490392 y[1] (closed_form) = -0.148536869281 0.419714586121 absolute error = 2.364e-05 relative error = 0.005309 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.465 Order of pole (three term test) = 33.62 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9393 0.784 h = 0.003 0.006 y[1] (numeric) = -0.148878539512 0.422284154064 y[1] (closed_form) = -0.148861389806 0.422299851331 absolute error = 2.325e-05 relative error = 0.005192 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.958 Order of pole (three term test) = 33.63 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9363 0.79 h = 0.0001 0.005 y[1] (numeric) = -0.147528453314 0.426451033778 y[1] (closed_form) = -0.147506581397 0.426469169232 absolute error = 2.841e-05 relative error = 0.006296 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8814 Order of pole (three term test) = 33.64 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9362 0.795 h = 0.0001 0.003 y[1] (numeric) = -0.147948125357 0.429706880453 y[1] (closed_form) = -0.147929038123 0.429722931229 absolute error = 2.494e-05 relative error = 0.005487 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7171 Order of pole (three term test) = 33.65 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9361 0.798 h = 0.001 0.001 y[1] (numeric) = -0.148177520952 0.431669596251 y[1] (closed_form) = -0.148158032424 0.43168433782 absolute error = 2.444e-05 relative error = 0.005354 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5664 Order of pole (three term test) = 33.66 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9351 0.799 h = 0.001 0.003 y[1] (numeric) = -0.147624093322 0.432419858359 y[1] (closed_form) = -0.147604628045 0.432433891246 absolute error = 2.400e-05 relative error = 0.005252 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.694 Order of pole (three term test) = 33.66 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9341 0.802 h = 0.0001 0.004 y[1] (numeric) = -0.147265403465 0.434473824876 y[1] (closed_form) = -0.14724594672 0.43448930517 absolute error = 2.486e-05 relative error = 0.00542 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.534 Order of pole (three term test) = 33.67 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.934 0.806 h = 0.003 0.006 y[1] (numeric) = -0.147591786134 0.437099391398 y[1] (closed_form) = -0.147573393574 0.437115505754 absolute error = 2.445e-05 relative error = 0.0053 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.049 Order of pole (three term test) = 33.68 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.931 0.812 h = 0.0001 0.005 y[1] (numeric) = -0.146216776081 0.441330821491 y[1] (closed_form) = -0.146193485419 0.441349383382 absolute error = 2.978e-05 relative error = 0.006406 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9224 Order of pole (three term test) = 33.7 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9309 0.817 h = 0.0001 0.003 y[1] (numeric) = -0.146639935609 0.444638591759 y[1] (closed_form) = -0.146619541648 0.444655043477 absolute error = 2.620e-05 relative error = 0.005596 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7505 Order of pole (three term test) = 33.71 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9308 0.82 h = 0.001 0.001 y[1] (numeric) = -0.146871044888 0.446632706285 y[1] (closed_form) = -0.146850255051 0.446647804047 absolute error = 2.569e-05 relative error = 0.005465 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5928 Order of pole (three term test) = 33.72 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9298 0.821 h = 0.001 0.003 y[1] (numeric) = -0.146308066821 0.44739434877 y[1] (closed_form) = -0.146287310374 0.447408716852 absolute error = 2.524e-05 relative error = 0.005363 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.819 Order of pole (three term test) = 33.72 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9288 0.824 h = 0.0001 0.004 y[1] (numeric) = -0.145941593211 0.449480599024 y[1] (closed_form) = -0.145920826337 0.449496458159 absolute error = 2.613e-05 relative error = 0.005529 % Correct digits = 4 memory used=423.6MB, alloc=52.3MB, time=5.00 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.605 Order of pole (three term test) = 33.73 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9287 0.828 h = 0.003 0.006 y[1] (numeric) = -0.14627041543 0.45214834157 y[1] (closed_form) = -0.146250736334 0.452164867829 absolute error = 2.570e-05 relative error = 0.005407 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.145 Order of pole (three term test) = 33.74 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9257 0.834 h = 0.0001 0.005 y[1] (numeric) = -0.14486886778 0.456445930569 y[1] (closed_form) = -0.144844111885 0.456464913686 absolute error = 3.120e-05 relative error = 0.006514 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9653 Order of pole (three term test) = 33.75 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9256 0.839 h = 0.0001 0.003 y[1] (numeric) = -0.145294936289 0.459807231206 y[1] (closed_form) = -0.145273190928 0.459824078367 absolute error = 2.751e-05 relative error = 0.005704 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7854 Order of pole (three term test) = 33.77 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9255 0.842 h = 0.001 0.001 y[1] (numeric) = -0.145527399557 0.461833707522 y[1] (closed_form) = -0.145505263875 0.461849155268 absolute error = 2.699e-05 relative error = 0.005574 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6203 Order of pole (three term test) = 33.77 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9245 0.843 h = 0.001 0.003 y[1] (numeric) = -0.14495443675 0.462606946336 y[1] (closed_form) = -0.14493234478 0.462621643081 absolute error = 2.653e-05 relative error = 0.005473 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.95 Order of pole (three term test) = 33.78 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9235 0.846 h = 0.0001 0.004 y[1] (numeric) = -0.144579525753 0.46472634603 y[1] (closed_form) = -0.144557404045 0.464742578149 absolute error = 2.744e-05 relative error = 0.005638 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.68 Order of pole (three term test) = 33.78 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9234 0.85 h = 0.003 0.006 y[1] (numeric) = -0.144910315275 0.46743755757 y[1] (closed_form) = -0.144889305277 0.467454490435 absolute error = 2.698e-05 relative error = 0.005514 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.244 Order of pole (three term test) = 33.79 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9204 0.856 h = 0.0001 0.005 y[1] (numeric) = -0.143480588757 0.47180293798 y[1] (closed_form) = -0.143454320376 0.47182233696 absolute error = 3.265e-05 relative error = 0.006622 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.01 Order of pole (three term test) = 33.81 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9203 0.861 h = 0.0001 0.003 y[1] (numeric) = -0.143908976587 0.475219400846 y[1] (closed_form) = -0.143885834443 0.475236637817 absolute error = 2.886e-05 relative error = 0.005811 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8218 Order of pole (three term test) = 33.83 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9202 0.864 h = 0.001 0.001 y[1] (numeric) = -0.144142427219 0.477279217083 y[1] (closed_form) = -0.144118900457 0.477295008451 absolute error = 2.834e-05 relative error = 0.005683 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6491 Order of pole (three term test) = 33.83 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9192 0.865 h = 0.0001 0.004 y[1] (numeric) = -0.143559038113 0.478064271139 y[1] (closed_form) = -0.143535565581 0.478079289852 absolute error = 2.787e-05 relative error = 0.005583 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.906 Order of pole (three term test) = 33.84 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9191 0.869 h = 0.003 0.006 y[1] (numeric) = -0.143891150012 0.480812004024 y[1] (closed_form) = -0.143869335421 0.48082968315 absolute error = 2.808e-05 relative error = 0.005595 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.334 Order of pole (three term test) = 33.85 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9161 0.875 h = 0.0001 0.005 y[1] (numeric) = -0.142436666374 0.485237425659 y[1] (closed_form) = -0.14240943483 0.485257581001 absolute error = 3.388e-05 relative error = 0.006699 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.051 Order of pole (three term test) = 33.87 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.916 0.88 h = 0.0001 0.003 y[1] (numeric) = -0.142867253439 0.488702678832 y[1] (closed_form) = -0.142843248953 0.488720648123 absolute error = 2.999e-05 relative error = 0.005889 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8547 Order of pole (three term test) = 33.88 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9159 0.883 h = 0.001 0.001 y[1] (numeric) = -0.143101668082 0.490791982312 y[1] (closed_form) = -0.143077283454 0.490808465574 absolute error = 2.943e-05 relative error = 0.005757 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6751 Order of pole (three term test) = 33.89 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9149 0.884 h = 0.001 0.003 y[1] (numeric) = -0.142509089395 0.491587515585 y[1] (closed_form) = -0.142484767951 0.491603207153 absolute error = 2.894e-05 relative error = 0.005655 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.21 Order of pole (three term test) = 33.89 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9139 0.887 h = 0.0001 0.004 y[1] (numeric) = -0.142117118526 0.49377106739 y[1] (closed_form) = -0.142092730955 0.493788378903 absolute error = 2.991e-05 relative error = 0.00582 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.828 Order of pole (three term test) = 33.9 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9138 0.891 h = 0.003 0.006 y[1] (numeric) = -0.142450834918 0.496566665981 y[1] (closed_form) = -0.142427604923 0.496584742061 absolute error = 2.943e-05 relative error = 0.005698 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.442 Order of pole (three term test) = 33.91 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9108 0.897 h = 0.0001 0.005 y[1] (numeric) = -0.140965061376 0.501063002161 y[1] (closed_form) = -0.140936227242 0.50108356353 absolute error = 3.541e-05 relative error = 0.006804 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.099 Order of pole (three term test) = 33.93 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9107 0.902 h = 0.0001 0.003 y[1] (numeric) = -0.141396858784 0.50458653029 y[1] (closed_form) = -0.141371371046 0.504604879065 absolute error = 3.141e-05 relative error = 0.005993 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8943 Order of pole (three term test) = 33.94 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9106 0.905 h = 0.001 0.001 y[1] (numeric) = -0.141631570877 0.506711039695 y[1] (closed_form) = -0.141605709002 0.506727854841 absolute error = 3.085e-05 relative error = 0.005863 % Correct digits = 4 memory used=467.5MB, alloc=52.3MB, time=5.51 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7063 Order of pole (three term test) = 33.95 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9096 0.906 h = 0.001 0.003 y[1] (numeric) = -0.14102772676 0.507518808892 y[1] (closed_form) = -0.141001938973 0.50753481005 absolute error = 3.035e-05 relative error = 0.005761 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.359 Order of pole (three term test) = 33.96 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9086 0.909 h = 0.0001 0.004 y[1] (numeric) = -0.140625393775 0.509738068416 y[1] (closed_form) = -0.140599519443 0.509755735871 absolute error = 3.133e-05 relative error = 0.005925 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.912 Order of pole (three term test) = 33.97 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9085 0.913 h = 0.003 0.006 y[1] (numeric) = -0.140959689879 0.512580954562 y[1] (closed_form) = -0.140934998055 0.512599421913 absolute error = 3.083e-05 relative error = 0.0058 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.555 Order of pole (three term test) = 33.98 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9055 0.919 h = 0.0001 0.005 y[1] (numeric) = -0.139440900411 0.517149908761 y[1] (closed_form) = -0.139410414126 0.517170870301 absolute error = 3.700e-05 relative error = 0.006907 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.15 Order of pole (three term test) = 34 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9054 0.924 h = 0.0001 0.003 y[1] (numeric) = -0.139873283279 0.520733419004 y[1] (closed_form) = -0.13984626477 0.52075214118 absolute error = 3.287e-05 relative error = 0.006096 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9356 Order of pole (three term test) = 34.01 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9053 0.927 h = 0.001 0.001 y[1] (numeric) = -0.140107904358 0.522894157685 y[1] (closed_form) = -0.140080517906 0.522911297845 absolute error = 3.231e-05 relative error = 0.005968 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.739 Order of pole (three term test) = 34.02 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9043 0.928 h = 0.001 0.003 y[1] (numeric) = -0.139492331118 0.52371439026 y[1] (closed_form) = -0.139465029881 0.523730693784 absolute error = 3.180e-05 relative error = 0.005867 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.514 Order of pole (three term test) = 34.02 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9033 0.931 h = 0.0001 0.004 y[1] (numeric) = -0.139078935014 0.525970275483 y[1] (closed_form) = -0.139051526386 0.525988292397 absolute error = 3.280e-05 relative error = 0.006029 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.001 Order of pole (three term test) = 34.03 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9032 0.935 h = 0.003 0.006 y[1] (numeric) = -0.139413300232 0.528861823284 y[1] (closed_form) = -0.139387099395 0.528880676063 absolute error = 3.228e-05 relative error = 0.005902 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.673 Order of pole (three term test) = 34.05 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9002 0.941 h = 0.0001 0.005 y[1] (numeric) = -0.137859736826 0.533505124384 y[1] (closed_form) = -0.137827547984 0.533526480037 absolute error = 3.863e-05 relative error = 0.00701 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.203 Order of pole (three term test) = 34.07 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9001 0.946 h = 0.0001 0.003 y[1] (numeric) = -0.138292066549 0.537150351385 y[1] (closed_form) = -0.138263468966 0.53716944069 absolute error = 3.438e-05 relative error = 0.006199 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9788 Order of pole (three term test) = 34.08 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.9 0.949 h = 0.001 0.001 y[1] (numeric) = -0.138526199662 0.539348359189 y[1] (closed_form) = -0.138497240529 0.539365817287 absolute error = 3.381e-05 relative error = 0.006072 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7731 Order of pole (three term test) = 34.09 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.899 0.95 h = 0.001 0.003 y[1] (numeric) = -0.137898425353 0.540181285543 y[1] (closed_form) = -0.137869562796 0.540197883993 absolute error = 3.329e-05 relative error = 0.005972 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.677 Order of pole (three term test) = 34.1 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.898 0.953 h = 0.0001 0.004 y[1] (numeric) = -0.13747325154 0.542474728562 y[1] (closed_form) = -0.137444260298 0.542493088251 absolute error = 3.432e-05 relative error = 0.006132 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.093 Order of pole (three term test) = 34.11 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8979 0.957 h = 0.003 0.006 y[1] (numeric) = -0.137807163956 0.545416334321 y[1] (closed_form) = -0.137779406145 0.545435566508 absolute error = 3.377e-05 relative error = 0.006003 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.797 Order of pole (three term test) = 34.12 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8949 0.963 h = 0.0001 0.005 y[1] (numeric) = -0.136217035407 0.550135736989 y[1] (closed_form) = -0.136183092732 0.55015748048 absolute error = 4.031e-05 relative error = 0.007112 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.259 Order of pole (three term test) = 34.14 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8948 0.968 h = 0.0001 0.003 y[1] (numeric) = -0.136648658963 0.553844443518 y[1] (closed_form) = -0.136618433197 0.553863893482 absolute error = 3.594e-05 relative error = 0.006301 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.024 Order of pole (three term test) = 34.16 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8947 0.971 h = 0.001 0.001 y[1] (numeric) = -0.136881898241 0.556080777171 y[1] (closed_form) = -0.136851317534 0.556098545906 absolute error = 3.537e-05 relative error = 0.006176 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8088 Order of pole (three term test) = 34.17 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8937 0.972 h = 0.0001 0.004 y[1] (numeric) = -0.136241442393 0.556926630645 y[1] (closed_form) = -0.136210969868 0.556943516353 absolute error = 3.484e-05 relative error = 0.006076 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.867 Order of pole (three term test) = 34.17 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8936 0.976 h = 0.003 0.006 y[1] (numeric) = -0.136574669802 0.559910228556 y[1] (closed_form) = -0.136545941117 0.559930264127 absolute error = 3.503e-05 relative error = 0.006077 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.908 Order of pole (three term test) = 34.18 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8906 0.982 h = 0.0001 0.005 y[1] (numeric) = -0.134952542052 0.564697027218 y[1] (closed_form) = -0.134917456426 0.564719583514 absolute error = 4.171e-05 relative error = 0.007184 % Correct digits = 4 memory used=511.4MB, alloc=52.3MB, time=6.02 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.309 Order of pole (three term test) = 34.21 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8905 0.987 h = 0.0001 0.003 y[1] (numeric) = -0.135383808587 0.568461827618 y[1] (closed_form) = -0.13535254948 0.568482065315 absolute error = 3.724e-05 relative error = 0.006372 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.065 Order of pole (three term test) = 34.22 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8904 0.99 h = 0.001 0.001 y[1] (numeric) = -0.135616420338 0.570732027654 y[1] (closed_form) = -0.135584811554 0.570750540305 absolute error = 3.663e-05 relative error = 0.006244 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8408 Order of pole (three term test) = 34.24 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8894 0.991 h = 0.001 0.003 y[1] (numeric) = -0.134964815012 0.571589356473 y[1] (closed_form) = -0.134933324319 0.571606965528 absolute error = 3.608e-05 relative error = 0.006143 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.999 Order of pole (three term test) = 34.24 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8884 0.994 h = 0.0001 0.004 y[1] (numeric) = -0.134516249203 0.573955377101 y[1] (closed_form) = -0.134484589527 0.573974838767 absolute error = 3.716e-05 relative error = 0.006304 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.277 Order of pole (three term test) = 34.25 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8883 0.998 h = 0.003 0.006 y[1] (numeric) = -0.134848525474 0.576993944182 y[1] (closed_form) = -0.134818148352 0.577014348036 absolute error = 3.659e-05 relative error = 0.006176 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.041 Order of pole (three term test) = 34.26 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8853 1.004 h = 0.0001 0.005 y[1] (numeric) = -0.133186428652 0.581860201713 y[1] (closed_form) = -0.133149491315 0.581883134176 absolute error = 4.348e-05 relative error = 0.007284 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.369 Order of pole (three term test) = 34.29 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8852 1.009 h = 0.0001 0.003 y[1] (numeric) = -0.133615754905 0.585691847055 y[1] (closed_form) = -0.133582773935 0.585712433394 absolute error = 3.888e-05 relative error = 0.006472 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.114 Order of pole (three term test) = 34.31 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8851 1.012 h = 0.001 0.001 y[1] (numeric) = -0.133846705468 0.588002390618 y[1] (closed_form) = -0.133813381859 0.588021200289 absolute error = 3.827e-05 relative error = 0.006345 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8795 Order of pole (three term test) = 34.32 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8841 1.013 h = 0.001 0.003 y[1] (numeric) = -0.133181503797 0.588873094538 y[1] (closed_form) = -0.133148310365 0.588890976522 absolute error = 3.770e-05 relative error = 0.006245 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.183 Order of pole (three term test) = 34.32 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8831 1.016 h = 0.0001 0.004 y[1] (numeric) = -0.132719047773 0.591279428873 y[1] (closed_form) = -0.132685662673 0.59129921358 absolute error = 3.881e-05 relative error = 0.006404 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.381 Order of pole (three term test) = 34.33 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.883 1.02 h = 0.003 0.006 y[1] (numeric) = -0.133049328146 0.594372182373 y[1] (closed_form) = -0.133017252283 0.594392947917 absolute error = 3.821e-05 relative error = 0.006273 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.181 Order of pole (three term test) = 34.35 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.88 1.026 h = 0.0001 0.005 y[1] (numeric) = -0.131345369565 0.59931972978 y[1] (closed_form) = -0.131306526632 0.599343031441 absolute error = 4.530e-05 relative error = 0.007383 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.432 Order of pole (three term test) = 34.37 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8799 1.031 h = 0.0001 0.003 y[1] (numeric) = -0.131772057669 0.603220067125 y[1] (closed_form) = -0.131737303302 0.603240994989 absolute error = 4.057e-05 relative error = 0.00657 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.165 Order of pole (three term test) = 34.39 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8798 1.034 h = 0.001 0.001 y[1] (numeric) = -0.132000913479 0.605572061506 y[1] (closed_form) = -0.131965823771 0.605591160191 absolute error = 3.995e-05 relative error = 0.006446 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9199 Order of pole (three term test) = 34.4 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8788 1.035 h = 0.001 0.003 y[1] (numeric) = -0.13132160912 0.606456382364 y[1] (closed_form) = -0.131286661948 0.606474528878 absolute error = 3.938e-05 relative error = 0.006346 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.375 Order of pole (three term test) = 34.41 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8778 1.038 h = 0.0001 0.004 y[1] (numeric) = -0.130844490836 0.608904019656 y[1] (closed_form) = -0.130809328782 0.608924119827 absolute error = 4.050e-05 relative error = 0.006503 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.491 Order of pole (three term test) = 34.42 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8777 1.042 h = 0.003 0.006 y[1] (numeric) = -0.131172204609 0.612052446658 y[1] (closed_form) = -0.131138378842 0.612073567069 absolute error = 3.988e-05 relative error = 0.006371 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.327 Order of pole (three term test) = 34.44 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8747 1.048 h = 0.0001 0.005 y[1] (numeric) = -0.12942445354 0.617083142247 y[1] (closed_form) = -0.129383650173 0.617106805861 absolute error = 4.717e-05 relative error = 0.007481 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.498 Order of pole (three term test) = 34.46 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8746 1.053 h = 0.0001 0.003 y[1] (numeric) = -0.129847788403 0.62105404936 y[1] (closed_form) = -0.129811208218 0.621075311375 absolute error = 4.231e-05 relative error = 0.006668 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.218 Order of pole (three term test) = 34.48 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8745 1.056 h = 0.001 0.001 y[1] (numeric) = -0.130074105274 0.62344862026 y[1] (closed_form) = -0.13003719732 0.623467999673 absolute error = 4.169e-05 relative error = 0.006545 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9621 Order of pole (three term test) = 34.49 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8735 1.057 h = 0.001 0.003 y[1] (numeric) = -0.129380182277 0.624346802812 y[1] (closed_form) = -0.129343429506 0.624365205169 absolute error = 4.110e-05 relative error = 0.006446 % Correct digits = 4 memory used=555.2MB, alloc=52.3MB, time=6.53 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.576 Order of pole (three term test) = 34.5 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8725 1.06 h = 0.0001 0.004 y[1] (numeric) = -0.128887613373 0.626836747722 y[1] (closed_form) = -0.12885062195 0.626857155511 absolute error = 4.225e-05 relative error = 0.006602 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.605 Order of pole (three term test) = 34.51 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8724 1.064 h = 0.003 0.006 y[1] (numeric) = -0.129212175688 0.630042360094 y[1] (closed_form) = -0.129176547975 0.630063828303 absolute error = 4.160e-05 relative error = 0.006467 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.48 Order of pole (three term test) = 34.53 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8694 1.07 h = 0.0001 0.005 y[1] (numeric) = -0.127418662044 0.635158089868 y[1] (closed_form) = -0.127375842425 0.635182107897 absolute error = 4.910e-05 relative error = 0.007579 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.566 Order of pole (three term test) = 34.55 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8693 1.075 h = 0.0001 0.003 y[1] (numeric) = -0.127837910589 0.639201475904 y[1] (closed_form) = -0.127799451254 0.639223064424 absolute error = 4.410e-05 relative error = 0.006766 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.274 Order of pole (three term test) = 34.58 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8692 1.078 h = 0.001 0.001 y[1] (numeric) = -0.128061233248 0.641639767844 y[1] (closed_form) = -0.128022454005 0.641659419402 absolute error = 4.347e-05 relative error = 0.006644 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.006 Order of pole (three term test) = 34.59 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8682 1.079 h = 0.0001 0.004 y[1] (numeric) = -0.127352165766 0.642552059757 y[1] (closed_form) = -0.127313554652 0.642570708966 absolute error = 4.288e-05 relative error = 0.006546 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 6.055 Order of pole (three term test) = 34.59 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8681 1.083 h = 0.003 0.006 y[1] (numeric) = -0.127673798724 0.645805585111 y[1] (closed_form) = -0.127637018973 0.645827917201 absolute error = 4.303e-05 relative error = 0.006536 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.617 Order of pole (three term test) = 34.61 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8651 1.089 h = 0.0001 0.005 y[1] (numeric) = -0.125840329574 0.650996618993 y[1] (closed_form) = -0.125796170422 0.651021508805 absolute error = 5.069e-05 relative error = 0.007645 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.628 Order of pole (three term test) = 34.64 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.865 1.094 h = 0.0001 0.003 y[1] (numeric) = -0.126256354329 0.655104006664 y[1] (closed_form) = -0.126216675183 0.655126441193 absolute error = 4.558e-05 relative error = 0.006832 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.324 Order of pole (three term test) = 34.66 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8649 1.097 h = 0.001 0.001 y[1] (numeric) = -0.126477265999 0.657580906656 y[1] (closed_form) = -0.126437273292 0.657601356569 absolute error = 4.492e-05 relative error = 0.006708 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.046 Order of pole (three term test) = 34.67 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8639 1.098 h = 0.001 0.003 y[1] (numeric) = -0.125754905928 0.658505733091 y[1] (closed_form) = -0.125715092433 0.658525158389 absolute error = 4.430e-05 relative error = 0.006608 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.974 Order of pole (three term test) = 34.68 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8629 1.101 h = 0.0001 0.004 y[1] (numeric) = -0.125231963359 0.6610773375 y[1] (closed_form) = -0.125191866073 0.661098867169 absolute error = 4.551e-05 relative error = 0.006764 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.832 Order of pole (three term test) = 34.69 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8628 1.105 h = 0.003 0.006 y[1] (numeric) = -0.125549778764 0.664393524284 y[1] (closed_form) = -0.125511097716 0.664416190954 absolute error = 4.483e-05 relative error = 0.00663 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.783 Order of pole (three term test) = 34.71 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8598 1.111 h = 0.0001 0.005 y[1] (numeric) = -0.123666795078 0.669673201486 y[1] (closed_form) = -0.123620513028 0.669698431547 absolute error = 5.271e-05 relative error = 0.00774 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.703 Order of pole (three term test) = 34.74 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8597 1.116 h = 0.0001 0.003 y[1] (numeric) = -0.124077342531 0.673856715805 y[1] (closed_form) = -0.124035682397 0.673879462487 absolute error = 4.747e-05 relative error = 0.006927 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.385 Order of pole (three term test) = 34.76 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8596 1.119 h = 0.001 0.001 y[1] (numeric) = -0.124294395873 0.676379523796 y[1] (closed_form) = -0.124252430609 0.676400229699 absolute error = 4.680e-05 relative error = 0.006804 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.094 Order of pole (three term test) = 34.77 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8586 1.12 h = 0.001 0.003 y[1] (numeric) = -0.123555888501 0.677318934711 y[1] (closed_form) = -0.123514115979 0.677338589916 absolute error = 4.617e-05 relative error = 0.006705 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 5.202 Order of pole (three term test) = 34.78 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8576 1.123 h = 0.0001 0.004 y[1] (numeric) = -0.123015157132 0.679935818509 y[1] (closed_form) = -0.122973075348 0.679957632374 absolute error = 4.740e-05 relative error = 0.00686 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.961 Order of pole (three term test) = 34.8 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8575 1.127 h = 0.003 0.006 y[1] (numeric) = -0.123328083234 0.683313665201 y[1] (closed_form) = -0.1232874462 0.683336658602 absolute error = 4.669e-05 relative error = 0.006724 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.956 Order of pole (three term test) = 34.81 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8545 1.133 h = 0.0001 0.005 y[1] (numeric) = -0.121393495202 0.688683953703 y[1] (closed_form) = -0.121345031501 0.68870951556 absolute error = 5.479e-05 relative error = 0.007835 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.781 Order of pole (three term test) = 34.84 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8544 1.138 h = 0.0001 0.003 y[1] (numeric) = -0.121797776861 0.692945597776 y[1] (closed_form) = -0.121754079673 0.692968648104 absolute error = 4.940e-05 relative error = 0.007022 % Correct digits = 4 memory used=598.9MB, alloc=52.3MB, time=7.04 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.448 Order of pole (three term test) = 34.87 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8543 1.141 h = 0.001 0.001 y[1] (numeric) = -0.12201048247 0.695515514593 y[1] (closed_form) = -0.121966488921 0.695536466978 absolute error = 4.873e-05 relative error = 0.006901 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.144 Order of pole (three term test) = 34.88 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8533 1.142 h = 0.001 0.003 y[1] (numeric) = -0.12125527201 0.696469766054 y[1] (closed_form) = -0.121211485063 0.696489641224 absolute error = 4.809e-05 relative error = 0.006802 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 5.439 Order of pole (three term test) = 34.89 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8523 1.145 h = 0.0001 0.004 y[1] (numeric) = -0.120695895004 0.699132996229 y[1] (closed_form) = -0.120651772681 0.699155085259 absolute error = 4.934e-05 relative error = 0.006955 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.097 Order of pole (three term test) = 34.9 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8522 1.149 h = 0.003 0.006 y[1] (numeric) = -0.121003286699 0.702574115846 y[1] (closed_form) = -0.120960638022 0.702597427822 absolute error = 4.860e-05 relative error = 0.006817 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.137 Order of pole (three term test) = 34.92 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8492 1.155 h = 0.0001 0.005 y[1] (numeric) = -0.119014959853 0.708037012905 y[1] (closed_form) = -0.118964254677 0.708062897748 absolute error = 5.693e-05 relative error = 0.007929 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.862 Order of pole (three term test) = 34.96 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8491 1.16 h = 0.0001 0.003 y[1] (numeric) = -0.119412166148 0.712378823998 y[1] (closed_form) = -0.119366374841 0.712402169129 absolute error = 5.140e-05 relative error = 0.007116 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.514 Order of pole (three term test) = 34.98 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.849 1.163 h = 0.001 0.001 y[1] (numeric) = -0.119620021651 0.714997070932 y[1] (closed_form) = -0.119573943106 0.715018259928 absolute error = 5.072e-05 relative error = 0.006996 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.196 Order of pole (three term test) = 34.99 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.848 1.164 h = 0.001 0.003 y[1] (numeric) = -0.118847541236 0.715966421875 y[1] (closed_form) = -0.1188016835 0.715986506698 absolute error = 5.006e-05 relative error = 0.006898 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 5.687 Order of pole (three term test) = 35 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.847 1.167 h = 0.0001 0.004 y[1] (numeric) = -0.11826864245 0.718677082199 y[1] (closed_form) = -0.118222422553 0.718699437012 absolute error = 5.134e-05 relative error = 0.007049 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.238 Order of pole (three term test) = 35.02 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8469 1.171 h = 0.003 0.006 y[1] (numeric) = -0.118569837354 0.722183115315 y[1] (closed_form) = -0.118525120386 0.722206737386 absolute error = 5.057e-05 relative error = 0.00691 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.325 Order of pole (three term test) = 35.04 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8439 1.177 h = 0.0001 0.005 y[1] (numeric) = -0.116525591124 0.727740647877 y[1] (closed_form) = -0.116472583553 0.72776684652 absolute error = 5.913e-05 relative error = 0.008023 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.947 Order of pole (three term test) = 35.07 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8438 1.182 h = 0.0001 0.003 y[1] (numeric) = -0.116914890565 0.732164698157 y[1] (closed_form) = -0.11686694705 0.732188328891 absolute error = 5.345e-05 relative error = 0.007209 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.583 Order of pole (three term test) = 35.1 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8437 1.185 h = 0.001 0.001 y[1] (numeric) = -0.117117380106 0.734832517401 y[1] (closed_form) = -0.117069158849 0.734853932761 absolute error = 5.276e-05 relative error = 0.007091 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.25 Order of pole (three term test) = 35.11 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8427 1.186 h = 0.0001 0.004 y[1] (numeric) = -0.116327051475 0.735817229619 y[1] (closed_form) = -0.116279065591 0.735837513394 absolute error = 5.210e-05 relative error = 0.006993 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 7.525 Order of pole (three term test) = 35.12 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8426 1.19 h = 0.003 0.006 y[1] (numeric) = -0.116622779085 0.739377598279 y[1] (closed_form) = -0.116576711744 0.739402147765 absolute error = 5.220e-05 relative error = 0.006974 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.495 Order of pole (three term test) = 35.14 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8396 1.196 h = 0.0001 0.005 y[1] (numeric) = -0.114529777612 0.745018938369 y[1] (closed_form) = -0.114475214684 0.74504606987 absolute error = 6.094e-05 relative error = 0.008084 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.023 Order of pole (three term test) = 35.17 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8395 1.201 h = 0.0001 0.003 y[1] (numeric) = -0.11491260177 0.749515572023 y[1] (closed_form) = -0.114863234167 0.749540109517 absolute error = 5.513e-05 relative error = 0.00727 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.646 Order of pole (three term test) = 35.2 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8394 1.204 h = 0.001 0.001 y[1] (numeric) = -0.115110659745 0.752227145005 y[1] (closed_form) = -0.11506102216 0.752249415154 absolute error = 5.440e-05 relative error = 0.007149 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.3 Order of pole (three term test) = 35.22 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8384 1.205 h = 0.001 0.003 y[1] (numeric) = -0.114304683249 0.753225513703 y[1] (closed_form) = -0.114255293536 0.753246628124 absolute error = 5.371e-05 relative error = 0.00705 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 6.18 Order of pole (three term test) = 35.22 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8374 1.208 h = 0.0001 0.004 y[1] (numeric) = -0.113687654495 0.756027631779 y[1] (closed_form) = -0.11363785161 0.756051123521 absolute error = 5.507e-05 relative error = 0.007202 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.518 Order of pole (three term test) = 35.24 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8373 1.212 h = 0.003 0.006 y[1] (numeric) = -0.113976314326 0.75965901038 y[1] (closed_form) = -0.113928070453 0.759683853964 absolute error = 5.426e-05 relative error = 0.007064 % Correct digits = 4 memory used=642.6MB, alloc=52.3MB, time=7.55 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.7 Order of pole (three term test) = 35.26 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8343 1.218 h = 0.0001 0.005 y[1] (numeric) = -0.111823233202 0.765398865432 y[1] (closed_form) = -0.111766251389 0.765426293335 absolute error = 6.324e-05 relative error = 0.008175 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.115 Order of pole (three term test) = 35.3 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8342 1.223 h = 0.0001 0.003 y[1] (numeric) = -0.112196567679 0.769981700119 y[1] (closed_form) = -0.112144936851 0.770006505821 absolute error = 5.728e-05 relative error = 0.007361 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.72 Order of pole (three term test) = 35.33 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8341 1.226 h = 0.001 0.001 y[1] (numeric) = -0.112388277521 0.772745220562 y[1] (closed_form) = -0.112336386933 0.772767697654 absolute error = 5.655e-05 relative error = 0.007242 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.359 Order of pole (three term test) = 35.35 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8331 1.227 h = 0.001 0.003 y[1] (numeric) = -0.111563348552 0.773759452443 y[1] (closed_form) = -0.111511721097 0.773780745526 absolute error = 5.585e-05 relative error = 0.007144 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 6.462 Order of pole (three term test) = 35.35 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8321 1.23 h = 0.0001 0.004 y[1] (numeric) = -0.110924192652 0.776612207631 y[1] (closed_form) = -0.110872123197 0.776635936946 absolute error = 5.722e-05 relative error = 0.007294 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.679 Order of pole (three term test) = 35.37 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.832 1.234 h = 0.003 0.006 y[1] (numeric) = -0.111204679857 0.780313359196 y[1] (closed_form) = -0.11115419983 0.780338487389 absolute error = 5.639e-05 relative error = 0.007154 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.914 Order of pole (three term test) = 35.39 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.829 1.24 h = 0.0001 0.005 y[1] (numeric) = -0.108989198807 0.786153844004 y[1] (closed_form) = -0.1089297339 0.786181557961 absolute error = 6.561e-05 relative error = 0.008266 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.212 Order of pole (three term test) = 35.43 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8289 1.245 h = 0.0001 0.003 y[1] (numeric) = -0.109352145016 0.790825056212 y[1] (closed_form) = -0.109298189806 0.790850119826 absolute error = 5.949e-05 relative error = 0.007452 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.799 Order of pole (three term test) = 35.46 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8288 1.248 h = 0.001 0.001 y[1] (numeric) = -0.109536949628 0.793641828778 y[1] (closed_form) = -0.109482745304 0.793664501394 absolute error = 5.876e-05 relative error = 0.007334 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.421 Order of pole (three term test) = 35.48 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8278 1.249 h = 0.001 0.003 y[1] (numeric) = -0.108692455545 0.794672193866 y[1] (closed_form) = -0.108638530011 0.794693653713 absolute error = 5.804e-05 relative error = 0.007236 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 6.755 Order of pole (three term test) = 35.49 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8268 1.252 h = 0.0001 0.004 y[1] (numeric) = -0.108030215781 0.797576737738 y[1] (closed_form) = -0.107975818649 0.797600693738 absolute error = 5.944e-05 relative error = 0.007385 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.846 Order of pole (three term test) = 35.5 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8267 1.256 h = 0.003 0.006 y[1] (numeric) = -0.108301795065 0.801349415122 y[1] (closed_form) = -0.108249018176 0.801374818044 absolute error = 5.857e-05 relative error = 0.007243 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 5.137 Order of pole (three term test) = 35.53 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8237 1.262 h = 0.0001 0.005 y[1] (numeric) = -0.106021541898 0.807292675808 y[1] (closed_form) = -0.105959528488 0.80732066502 absolute error = 6.804e-05 relative error = 0.008356 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.312 Order of pole (three term test) = 35.57 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8236 1.267 h = 0.0001 0.003 y[1] (numeric) = -0.106373175904 0.812054479894 y[1] (closed_form) = -0.106316834034 0.812079790697 absolute error = 6.177e-05 relative error = 0.007542 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.881 Order of pole (three term test) = 35.6 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8235 1.27 h = 0.001 0.001 y[1] (numeric) = -0.106550502622 0.814925831912 y[1] (closed_form) = -0.106493922728 0.814948688183 absolute error = 6.102e-05 relative error = 0.007425 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.485 Order of pole (three term test) = 35.62 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8225 1.271 h = 0.001 0.003 y[1] (numeric) = -0.105685818102 0.815972603023 y[1] (closed_form) = -0.105629533064 0.815994217278 absolute error = 6.029e-05 relative error = 0.007328 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 7.063 Order of pole (three term test) = 35.63 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8215 1.274 h = 0.0001 0.004 y[1] (numeric) = -0.104999515152 0.818930105383 y[1] (closed_form) = -0.104942728121 0.818954276736 absolute error = 6.172e-05 relative error = 0.007475 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.021 Order of pole (three term test) = 35.65 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8214 1.278 h = 0.003 0.006 y[1] (numeric) = -0.105261430479 0.822776091972 y[1] (closed_form) = -0.105206294909 0.82280175933 absolute error = 6.082e-05 relative error = 0.007332 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 5.371 Order of pole (three term test) = 35.67 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8184 1.284 h = 0.0001 0.005 y[1] (numeric) = -0.102913979501 0.828824306407 y[1] (closed_form) = -0.102849350956 0.828852559608 absolute error = 7.053e-05 relative error = 0.008445 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.417 Order of pole (three term test) = 35.71 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8183 1.289 h = 0.0001 0.003 y[1] (numeric) = -0.103253351086 0.833678955393 y[1] (closed_form) = -0.103194559132 0.833704502222 absolute error = 6.410e-05 relative error = 0.007631 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.966 Order of pole (three term test) = 35.74 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8182 1.292 h = 0.001 0.001 y[1] (numeric) = -0.103422611106 0.836606237336 y[1] (closed_form) = -0.103363592683 0.836629264921 absolute error = 6.335e-05 relative error = 0.007515 % Correct digits = 4 memory used=686.4MB, alloc=52.3MB, time=8.07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.553 Order of pole (three term test) = 35.76 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8172 1.293 h = 0.0001 0.004 y[1] (numeric) = -0.102537097794 0.837669690057 y[1] (closed_form) = -0.102478390718 0.837691445881 absolute error = 6.261e-05 relative error = 0.007419 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 9.342 Order of pole (three term test) = 35.77 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8171 1.297 h = 0.003 0.006 y[1] (numeric) = -0.102790651768 0.841576992013 y[1] (closed_form) = -0.102733947826 0.841603652959 absolute error = 6.266e-05 relative error = 0.00739 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 5.581 Order of pole (three term test) = 35.8 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8141 1.303 h = 0.0001 0.005 y[1] (numeric) = -0.100384660797 0.847718156483 y[1] (closed_form) = -0.100318239166 0.847747405195 absolute error = 7.258e-05 relative error = 0.008502 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.512 Order of pole (three term test) = 35.84 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.814 1.308 h = 0.0001 0.003 y[1] (numeric) = -0.100713838836 0.852654719518 y[1] (closed_form) = -0.100653398171 0.85268123587 absolute error = 6.600e-05 relative error = 0.007687 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.043 Order of pole (three term test) = 35.87 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8139 1.311 h = 0.001 0.001 y[1] (numeric) = -0.10087635963 0.855631349461 y[1] (closed_form) = -0.100815702038 0.855655289762 absolute error = 6.521e-05 relative error = 0.007569 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.613 Order of pole (three term test) = 35.89 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8129 1.312 h = 0.001 0.003 y[1] (numeric) = -0.0999725994289 0.856709642647 y[1] (closed_form) = -0.0999122673667 0.856732284974 absolute error = 6.444e-05 relative error = 0.007471 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 7.672 Order of pole (three term test) = 35.9 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8119 1.315 h = 0.0001 0.004 y[1] (numeric) = -0.0992394981922 0.859769180854 y[1] (closed_form) = -0.0991786061171 0.859794496882 absolute error = 6.595e-05 relative error = 0.007619 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.368 Order of pole (three term test) = 35.92 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8118 1.319 h = 0.003 0.006 y[1] (numeric) = -0.0994822695883 0.863756569953 y[1] (closed_form) = -0.0994230887535 0.863783475796 absolute error = 6.501e-05 relative error = 0.007477 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 5.834 Order of pole (three term test) = 35.95 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8088 1.325 h = 0.0001 0.005 y[1] (numeric) = -0.0970044460686 0.870006857134 y[1] (closed_form) = -0.0969352818057 0.87003634838 absolute error = 7.519e-05 relative error = 0.008589 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.626 Order of pole (three term test) = 36 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8087 1.33 h = 0.0001 0.003 y[1] (numeric) = -0.0973195482555 0.875040575197 y[1] (closed_form) = -0.0972565362053 0.875067306337 absolute error = 6.845e-05 relative error = 0.007774 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.135 Order of pole (three term test) = 36.03 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8086 1.333 h = 0.001 0.001 y[1] (numeric) = -0.0974728785265 0.878075718701 y[1] (closed_form) = -0.0974096620072 0.878099806817 absolute error = 6.765e-05 relative error = 0.007657 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.686 Order of pole (three term test) = 36.05 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8076 1.334 h = 0.001 0.003 y[1] (numeric) = -0.0965470691577 0.879171221582 y[1] (closed_form) = -0.0964841954803 0.879193981021 absolute error = 6.687e-05 relative error = 0.00756 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 8.02 Order of pole (three term test) = 36.06 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8066 1.337 h = 0.0001 0.004 y[1] (numeric) = -0.0957869865001 0.882287180841 y[1] (closed_form) = -0.0957235199902 0.882312677996 absolute error = 6.840e-05 relative error = 0.007707 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.566 Order of pole (three term test) = 36.08 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8065 1.341 h = 0.003 0.006 y[1] (numeric) = -0.0960178321958 0.886353165249 y[1] (closed_form) = -0.0959561093197 0.88638030443 absolute error = 6.743e-05 relative error = 0.007563 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 6.099 Order of pole (three term test) = 36.11 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8035 1.347 h = 0.0001 0.005 y[1] (numeric) = -0.0934655887533 0.892714846917 y[1] (closed_form) = -0.093393611556 0.89274456799 absolute error = 7.787e-05 relative error = 0.008675 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.745 Order of pole (three term test) = 36.16 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8034 1.352 h = 0.0001 0.003 y[1] (numeric) = -0.0937655847977 0.897848088482 y[1] (closed_form) = -0.0936999345087 0.89787502188 absolute error = 7.096e-05 relative error = 0.00786 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.232 Order of pole (three term test) = 36.2 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8033 1.355 h = 0.001 0.001 y[1] (numeric) = -0.0939090866035 0.900943165098 y[1] (closed_form) = -0.0938432448261 0.900967387245 absolute error = 7.016e-05 relative error = 0.007745 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.763 Order of pole (three term test) = 36.22 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8023 1.356 h = 0.001 0.003 y[1] (numeric) = -0.0929605504788 0.902056161223 y[1] (closed_form) = -0.0928950693217 0.902079023466 absolute error = 6.936e-05 relative error = 0.007648 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 8.384 Order of pole (three term test) = 36.23 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8013 1.359 h = 0.0001 0.004 y[1] (numeric) = -0.0921724131642 0.905229784907 y[1] (closed_form) = -0.0921063054464 0.905255449988 absolute error = 7.091e-05 relative error = 0.007793 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.773 Order of pole (three term test) = 36.25 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.8012 1.363 h = 0.003 0.006 y[1] (numeric) = -0.0923904901477 0.909376272236 y[1] (closed_form) = -0.0923261588692 0.90940363271 absolute error = 6.991e-05 relative error = 0.007648 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 6.375 Order of pole (three term test) = 36.28 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7982 1.369 h = 0.0001 0.005 y[1] (numeric) = -0.0897611794998 0.915851653598 y[1] (closed_form) = -0.0896863177295 0.915881591239 absolute error = 8.063e-05 relative error = 0.008761 % Correct digits = 4 memory used=730.2MB, alloc=52.3MB, time=8.58 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.869 Order of pole (three term test) = 36.33 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7981 1.374 h = 0.0001 0.003 y[1] (numeric) = -0.0900450090137 0.921086828992 y[1] (closed_form) = -0.0899766523821 0.921113951591 absolute error = 7.354e-05 relative error = 0.007946 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.333 Order of pole (three term test) = 36.37 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.798 1.377 h = 0.001 0.001 y[1] (numeric) = -0.0901780259533 0.924243283303 y[1] (closed_form) = -0.0901094913591 0.924267625144 absolute error = 7.273e-05 relative error = 0.007832 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.843 Order of pole (three term test) = 36.39 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.797 1.378 h = 0.001 0.003 y[1] (numeric) = -0.089206071043 0.925374058897 y[1] (closed_form) = -0.089137915329 0.925397009071 absolute error = 7.192e-05 relative error = 0.007736 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 8.764 Order of pole (three term test) = 36.4 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.796 1.381 h = 0.0001 0.004 y[1] (numeric) = -0.0883887795965 0.928606610124 y[1] (closed_form) = -0.0883199626542 0.928632429394 absolute error = 7.350e-05 relative error = 0.007879 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.989 Order of pole (three term test) = 36.42 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7959 1.385 h = 0.003 0.006 y[1] (numeric) = -0.0885932202598 0.932835541713 y[1] (closed_form) = -0.0885262129767 0.932863110928 absolute error = 7.246e-05 relative error = 0.007732 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 6.664 Order of pole (three term test) = 36.46 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7929 1.391 h = 0.0001 0.005 y[1] (numeric) = -0.08588413347 0.939426961841 y[1] (closed_form) = -0.0858063141225 0.939457102216 absolute error = 8.345e-05 relative error = 0.008846 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.999 Order of pole (three term test) = 36.51 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7928 1.396 h = 0.0001 0.003 y[1] (numeric) = -0.0861507049222 0.944766524093 y[1] (closed_form) = -0.0860795725662 0.944793822295 absolute error = 7.619e-05 relative error = 0.008031 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.439 Order of pole (three term test) = 36.55 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7927 1.399 h = 0.001 0.001 y[1] (numeric) = -0.0862725614999 0.94798582622 y[1] (closed_form) = -0.0862012652744 0.948010272848 absolute error = 7.537e-05 relative error = 0.007918 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.926 Order of pole (three term test) = 36.57 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7917 1.4 h = 0.003 0.006 y[1] (numeric) = -0.0852764809507 0.949134670153 y[1] (closed_form) = -0.0852055823628 0.949157692803 absolute error = 7.454e-05 relative error = 0.007822 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 19.43 Order of pole (three term test) = 36.58 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7887 1.406 h = 0.0001 0.005 y[1] (numeric) = -0.0825087509774 0.955795198639 y[1] (closed_form) = -0.08242601098 0.955830775745 absolute error = 9.006e-05 relative error = 0.009388 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.091 Order of pole (three term test) = 36.63 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7886 1.411 h = 0.0001 0.003 y[1] (numeric) = -0.08276009643 0.961207544712 y[1] (closed_form) = -0.0826841713418 0.961240265826 absolute error = 8.268e-05 relative error = 0.008569 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.514 Order of pole (three term test) = 36.67 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7885 1.414 h = 0.001 0.001 y[1] (numeric) = -0.0828722457623 0.964470643559 y[1] (closed_form) = -0.0827961686642 0.964500463983 absolute error = 8.171e-05 relative error = 0.008441 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.985 Order of pole (three term test) = 36.7 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7875 1.415 h = 0.001 0.003 y[1] (numeric) = -0.0818586875985 0.965631456051 y[1] (closed_form) = -0.0817830221685 0.965659830437 absolute error = 8.081e-05 relative error = 0.008339 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 9.441 Order of pole (three term test) = 36.71 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7865 1.418 h = 0.0001 0.004 y[1] (numeric) = -0.0809880619872 0.968965593906 y[1] (closed_form) = -0.0809116728624 0.96899695092 absolute error = 8.257e-05 relative error = 0.008492 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 5.375 Order of pole (three term test) = 36.73 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7864 1.422 h = 0.003 0.006 y[1] (numeric) = -0.0811652600599 0.973337787925 y[1] (closed_form) = -0.0810907361702 0.973370990609 absolute error = 8.159e-05 relative error = 0.008353 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 7.179 Order of pole (three term test) = 36.77 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7834 1.428 h = 0.0001 0.005 y[1] (numeric) = -0.0783121432746 0.980128304959 y[1] (closed_form) = -0.078226319678 0.980164058166 absolute error = 9.297e-05 relative error = 0.009455 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.231 Order of pole (three term test) = 36.82 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7833 1.433 h = 0.0001 0.003 y[1] (numeric) = -0.0785442504303 0.985649248291 y[1] (closed_form) = -0.0784654299055 0.985682118934 absolute error = 8.540e-05 relative error = 0.008637 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.628 Order of pole (three term test) = 36.87 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7832 1.436 h = 0.001 0.001 y[1] (numeric) = -0.0786440156244 0.988977717584 y[1] (closed_form) = -0.0785650582274 0.989007614459 absolute error = 8.443e-05 relative error = 0.00851 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.075 Order of pole (three term test) = 36.89 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7822 1.437 h = 0.001 0.003 y[1] (numeric) = -0.0776050966022 0.99015707324 y[1] (closed_form) = -0.0775265705209 0.990185490835 absolute error = 8.351e-05 relative error = 0.008408 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 9.869 Order of pole (three term test) = 36.9 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7812 1.44 h = 0.0001 0.004 y[1] (numeric) = -0.0767021918762 0.993553604175 y[1] (closed_form) = -0.0766229047204 0.993585073782 absolute error = 8.530e-05 relative error = 0.00856 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 5.618 Order of pole (three term test) = 36.93 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7811 1.444 h = 0.003 0.006 y[1] (numeric) = -0.0768632413363 0.998013609034 y[1] (closed_form) = -0.076785853729 0.99804698223 absolute error = 8.428e-05 relative error = 0.008419 % Correct digits = 4 memory used=774.1MB, alloc=52.3MB, time=9.09 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 7.504 Order of pole (three term test) = 36.97 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7781 1.45 h = 0.0001 0.005 y[1] (numeric) = -0.0739226859156 1.00492654971 y[1] (closed_form) = -0.0738337019109 1.00496246348 absolute error = 9.596e-05 relative error = 0.009523 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.377 Order of pole (three term test) = 37.02 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.778 1.455 h = 0.0001 0.003 y[1] (numeric) = -0.0741343730156 1.01055866155 y[1] (closed_form) = -0.0740525841102 1.01059166651 absolute error = 8.820e-05 relative error = 0.008704 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.747 Order of pole (three term test) = 37.07 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7779 1.458 h = 0.001 0.001 y[1] (numeric) = -0.0742210232986 1.01395404208 y[1] (closed_form) = -0.07413911329 1.01398399881 absolute error = 8.722e-05 relative error = 0.008578 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.169 Order of pole (three term test) = 37.1 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7769 1.459 h = 0.001 0.003 y[1] (numeric) = -0.0731559947046 1.0151522363 y[1] (closed_form) = -0.0730745362009 1.01518067993 absolute error = 8.628e-05 relative error = 0.008477 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 10.31 Order of pole (three term test) = 37.11 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7759 1.462 h = 0.0001 0.004 y[1] (numeric) = -0.0722196070777 1.0186124983 y[1] (closed_form) = -0.0721373490612 1.01864406454 absolute error = 8.811e-05 relative error = 0.008628 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 5.872 Order of pole (three term test) = 37.13 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7758 1.466 h = 0.003 0.006 y[1] (numeric) = -0.0723635411993 1.02316238498 y[1] (closed_form) = -0.0722832174667 1.02319591404 absolute error = 8.704e-05 relative error = 0.008486 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 7.843 Order of pole (three term test) = 37.17 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7728 1.472 h = 0.0001 0.005 y[1] (numeric) = -0.0693325942567 1.03020021526 y[1] (closed_form) = -0.0692403715566 1.03023627342 absolute error = 9.902e-05 relative error = 0.00959 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.53 Order of pole (three term test) = 37.23 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7727 1.477 h = 0.0001 0.003 y[1] (numeric) = -0.0695226443056 1.0359461128 y[1] (closed_form) = -0.0694378126914 1.03597923624 absolute error = 9.107e-05 relative error = 0.008771 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.871 Order of pole (three term test) = 37.28 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7726 1.48 h = 0.001 0.001 y[1] (numeric) = -0.0695954273205 1.03940997281 y[1] (closed_form) = -0.0695104910276 1.03943997213 absolute error = 9.008e-05 relative error = 0.008647 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.267 Order of pole (three term test) = 37.31 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7716 1.481 h = 0.0001 0.004 y[1] (numeric) = -0.0685035241436 1.04062730349 y[1] (closed_form) = -0.0684190601038 1.04065575532 absolute error = 8.913e-05 relative error = 0.008546 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 13.64 Order of pole (three term test) = 37.32 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7715 1.485 h = 0.003 0.006 y[1] (numeric) = -0.0686328681161 1.04525228841 y[1] (closed_form) = -0.068550536026 1.04528693041 absolute error = 8.932e-05 relative error = 0.008527 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 8.149 Order of pole (three term test) = 37.36 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7685 1.491 h = 0.0001 0.005 y[1] (numeric) = -0.0655232252441 1.05240074749 y[1] (closed_form) = -0.0654287287696 1.0524379111 absolute error = 0.0001015 relative error = 0.00963 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.667 Order of pole (three term test) = 37.42 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7684 1.496 h = 0.0001 0.003 y[1] (numeric) = -0.0656950472511 1.0582469976 y[1] (closed_form) = -0.0656081135018 1.0582812021 absolute error = 9.342e-05 relative error = 0.008811 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.983 Order of pole (three term test) = 37.47 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7683 1.499 h = 0.001 0.001 y[1] (numeric) = -0.0657561159831 1.06177125741 y[1] (closed_form) = -0.0656690913097 1.06180227112 absolute error = 9.239e-05 relative error = 0.008684 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.355 Order of pole (three term test) = 37.5 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7673 1.5 h = 0.001 0.003 y[1] (numeric) = -0.0646406875376 1.0630056334 y[1] (closed_form) = -0.0645541530177 1.06303506927 absolute error = 9.140e-05 relative error = 0.008583 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 11.2 Order of pole (three term test) = 37.51 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7663 1.503 h = 0.0001 0.004 y[1] (numeric) = -0.0636394860691 1.06658855227 y[1] (closed_form) = -0.0635520784527 1.06662124591 absolute error = 9.332e-05 relative error = 0.008734 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 6.377 Order of pole (three term test) = 37.54 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7662 1.507 h = 0.003 0.006 y[1] (numeric) = -0.0637500309932 1.07131155967 y[1] (closed_form) = -0.0636646241694 1.07134632953 absolute error = 9.221e-05 relative error = 0.008592 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 8.517 Order of pole (three term test) = 37.58 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7632 1.513 h = 0.0001 0.005 y[1] (numeric) = -0.0605443436535 1.07858962993 y[1] (closed_form) = -0.0604464585523 1.07862690691 absolute error = 0.0001047 relative error = 0.009696 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.833 Order of pole (three term test) = 37.64 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7631 1.518 h = 0.0001 0.003 y[1] (numeric) = -0.0606921987806 1.08455467658 y[1] (closed_form) = -0.0606020800179 1.08458896925 absolute error = 9.642e-05 relative error = 0.008876 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.117 Order of pole (three term test) = 37.69 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.763 1.521 h = 0.001 0.001 y[1] (numeric) = -0.0607379598745 1.08815041851 y[1] (closed_form) = -0.060647767882 1.08818144177 absolute error = 9.538e-05 relative error = 0.008751 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.462 Order of pole (three term test) = 37.73 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.762 1.522 h = 0.001 0.003 y[1] (numeric) = -0.0595941921412 1.08940450138 y[1] (closed_form) = -0.0595045121296 1.08943391127 absolute error = 9.438e-05 relative error = 0.00865 % Correct digits = 4 memory used=817.8MB, alloc=52.3MB, time=9.60 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 11.71 Order of pole (three term test) = 37.74 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.761 1.525 h = 0.0001 0.004 y[1] (numeric) = -0.0585559114178 1.09305511304 y[1] (closed_form) = -0.0584653166673 1.09308785491 absolute error = 9.633e-05 relative error = 0.0088 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 6.665 Order of pole (three term test) = 37.77 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7609 1.529 h = 0.003 0.006 y[1] (numeric) = -0.0586464395046 1.09787414631 y[1] (closed_form) = -0.0585578815175 1.09790902758 absolute error = 9.518e-05 relative error = 0.008657 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 8.902 Order of pole (three term test) = 37.81 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7579 1.535 h = 0.0001 0.005 y[1] (numeric) = -0.0553415487763 1.10528439837 y[1] (closed_form) = -0.0552401923449 1.1053217705 absolute error = 0.000108 relative error = 0.009761 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.006 Order of pole (three term test) = 37.88 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7578 1.54 h = 0.0001 0.003 y[1] (numeric) = -0.0554641132795 1.11137099564 y[1] (closed_form) = -0.0553707310367 1.1114053587 absolute error = 9.950e-05 relative error = 0.008942 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.258 Order of pole (three term test) = 37.93 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7577 1.543 h = 0.001 0.001 y[1] (numeric) = -0.055493749008 1.11503986974 y[1] (closed_form) = -0.0554003119589 1.11507088326 absolute error = 9.845e-05 relative error = 0.008818 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.573 Order of pole (three term test) = 37.96 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7567 1.544 h = 0.001 0.003 y[1] (numeric) = -0.0543208280428 1.11631396451 y[1] (closed_form) = -0.0542279254117 1.11634332854 absolute error = 9.743e-05 relative error = 0.008718 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.24 Order of pole (three term test) = 37.98 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7557 1.547 h = 0.0001 0.004 y[1] (numeric) = -0.0532441433014 1.1200336912 y[1] (closed_form) = -0.0531502830949 1.12006646272 absolute error = 9.942e-05 relative error = 0.008866 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 6.966 Order of pole (three term test) = 38.01 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7556 1.551 h = 0.003 0.006 y[1] (numeric) = -0.0533135719407 1.12495096857 y[1] (closed_form) = -0.0532217848979 1.1249859441 absolute error = 9.822e-05 relative error = 0.008721 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 9.304 Order of pole (three term test) = 38.05 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7526 1.557 h = 0.0001 0.005 y[1] (numeric) = -0.0499062428467 1.13249601018 y[1] (closed_form) = -0.0498013307769 1.13253345846 absolute error = 0.0001114 relative error = 0.009826 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.187 Order of pole (three term test) = 38.12 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7525 1.562 h = 0.0001 0.003 y[1] (numeric) = -0.0500021531036 1.13870696167 y[1] (closed_form) = -0.0499054274099 1.13874137662 absolute error = 0.0001027 relative error = 0.009007 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.405 Order of pole (three term test) = 38.18 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7524 1.565 h = 0.001 0.001 y[1] (numeric) = -0.0500148213318 1.14245064757 y[1] (closed_form) = -0.0499180600115 1.14248163133 absolute error = 0.0001016 relative error = 0.008885 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.689 Order of pole (three term test) = 38.21 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7514 1.566 h = 0.001 0.003 y[1] (numeric) = -0.048811915232 1.14374506159 y[1] (closed_form) = -0.0487157113949 1.14377435907 absolute error = 0.0001006 relative error = 0.008785 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.79 Order of pole (three term test) = 38.23 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7504 1.569 h = 0.0001 0.004 y[1] (numeric) = -0.0476954680812 1.14753534811 y[1] (closed_form) = -0.0475982626009 1.14756812995 absolute error = 0.0001026 relative error = 0.008932 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 7.28 Order of pole (three term test) = 38.26 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7503 1.573 h = 0.003 0.006 y[1] (numeric) = -0.0477426821309 1.15255312767 y[1] (closed_form) = -0.0476475866461 1.15258817962 absolute error = 0.0001013 relative error = 0.008786 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 9.724 Order of pole (three term test) = 38.31 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7473 1.579 h = 0.0001 0.005 y[1] (numeric) = -0.0442296015548 1.16023560412 y[1] (closed_form) = -0.0441210478994 1.16027310878 absolute error = 0.0001148 relative error = 0.009891 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.376 Order of pole (three term test) = 38.38 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7472 1.584 h = 0.0001 0.003 y[1] (numeric) = -0.0442974527891 1.16657376392 y[1] (closed_form) = -0.0441973021371 1.16660821151 absolute error = 0.0001059 relative error = 0.009072 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.559 Order of pole (three term test) = 38.44 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7471 1.587 h = 0.001 0.001 y[1] (numeric) = -0.044292286199 1.17039397141 y[1] (closed_form) = -0.044192119884 1.17042490457 absolute error = 0.0001048 relative error = 0.008951 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.811 Order of pole (three term test) = 38.47 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7461 1.588 h = 0.0001 0.004 y[1] (numeric) = -0.0430585446518 1.17170901429 y[1] (closed_form) = -0.0429589595328 1.17173822378 absolute error = 0.0001038 relative error = 0.008851 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 16.91 Order of pole (three term test) = 38.49 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.746 1.592 h = 0.003 0.006 y[1] (numeric) = -0.0430869017881 1.17681072725 y[1] (closed_form) = -0.0429895108253 1.17684696261 absolute error = 0.0001039 relative error = 0.008824 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 10.1 Order of pole (three term test) = 38.53 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.743 1.598 h = 0.0001 0.005 y[1] (numeric) = -0.0394817602888 1.18461496524 y[1] (closed_form) = -0.0393706187588 1.18465363852 absolute error = 0.0001177 relative error = 0.009928 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.546 Order of pole (three term test) = 38.61 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7429 1.603 h = 0.0001 0.003 y[1] (numeric) = -0.0395258644866 1.19106530424 y[1] (closed_form) = -0.039423315787 1.1911008978 absolute error = 0.0001086 relative error = 0.009108 % Correct digits = 4 memory used=861.6MB, alloc=52.3MB, time=10.11 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.697 Order of pole (three term test) = 38.67 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7428 1.606 h = 0.001 0.001 y[1] (numeric) = -0.0395055717529 1.19495299855 y[1] (closed_form) = -0.0394030242063 1.19498500451 absolute error = 0.0001074 relative error = 0.008985 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.92 Order of pole (three term test) = 38.71 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7418 1.607 h = 0.001 0.003 y[1] (numeric) = -0.0382448435689 1.19628642913 y[1] (closed_form) = -0.0381428977067 1.1963166784 absolute error = 0.0001063 relative error = 0.008884 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 13.89 Order of pole (three term test) = 38.72 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7408 1.61 h = 0.0001 0.004 y[1] (numeric) = -0.0370515554814 1.20021244862 y[1] (closed_form) = -0.0369485235223 1.20024632943 absolute error = 0.0001085 relative error = 0.009032 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 7.905 Order of pole (three term test) = 38.76 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7407 1.614 h = 0.003 0.006 y[1] (numeric) = -0.0370556122148 1.20542368662 y[1] (closed_form) = -0.0369547607695 1.20545996421 absolute error = 0.0001072 relative error = 0.008887 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 10.56 Order of pole (three term test) = 38.81 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7377 1.62 h = 0.0001 0.005 y[1] (numeric) = -0.0333383715933 1.21337042499 y[1] (closed_form) = -0.0332234238101 1.2134091167 absolute error = 0.0001213 relative error = 0.009992 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.752 Order of pole (three term test) = 38.89 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7376 1.625 h = 0.0001 0.003 y[1] (numeric) = -0.0333517242416 1.21995343873 y[1] (closed_form) = -0.0332455944639 1.21998902802 absolute error = 0.0001119 relative error = 0.009172 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.864 Order of pole (three term test) = 38.95 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7375 1.628 h = 0.001 0.001 y[1] (numeric) = -0.0333119342942 1.22392092944 y[1] (closed_form) = -0.0332058271488 1.22395284487 absolute error = 0.0001108 relative error = 0.00905 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.051 Order of pole (three term test) = 38.99 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7365 1.629 h = 0.001 0.003 y[1] (numeric) = -0.0320187415988 1.22527558152 y[1] (closed_form) = -0.0319132610997 1.22530570163 absolute error = 0.0001097 relative error = 0.00895 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 14.51 Order of pole (three term test) = 39 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7355 1.632 h = 0.0001 0.004 y[1] (numeric) = -0.0307816288556 1.22927643934 y[1] (closed_form) = -0.0306750144733 1.22931027178 absolute error = 0.0001119 relative error = 0.009096 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 8.261 Order of pole (three term test) = 39.04 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7354 1.636 h = 0.003 0.006 y[1] (numeric) = -0.0307601203839 1.23459488118 y[1] (closed_form) = -0.0306557246068 1.23463118099 absolute error = 0.0001105 relative error = 0.008949 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 11.03 Order of pole (three term test) = 39.09 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7324 1.642 h = 0.0001 0.005 y[1] (numeric) = -0.0269272325453 1.24268687609 y[1] (closed_form) = -0.0268083876698 1.24272556404 absolute error = 0.000125 relative error = 0.01005 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.966 Order of pole (three term test) = 39.18 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7323 1.647 h = 0.0001 0.003 y[1] (numeric) = -0.0269083044563 1.24940556903 y[1] (closed_form) = -0.0267985075053 1.24944113249 absolute error = 0.0001154 relative error = 0.009235 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.038 Order of pole (three term test) = 39.24 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7322 1.65 h = 0.001 0.001 y[1] (numeric) = -0.026848073865 1.25345465575 y[1] (closed_form) = -0.0267383218927 1.25348645742 absolute error = 0.0001143 relative error = 0.009114 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.189 Order of pole (three term test) = 39.28 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7312 1.651 h = 0.001 0.003 y[1] (numeric) = -0.0255215111334 1.25483084534 y[1] (closed_form) = -0.0254124114736 1.25486081238 absolute error = 0.0001131 relative error = 0.009014 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 15.17 Order of pole (three term test) = 39.3 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7302 1.654 h = 0.0001 0.004 y[1] (numeric) = -0.0242390766356 1.25890807705 y[1] (closed_form) = -0.0241287939235 1.25894183867 absolute error = 0.0001153 relative error = 0.00916 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 8.634 Order of pole (three term test) = 39.34 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7301 1.658 h = 0.003 0.006 y[1] (numeric) = -0.0241907527976 1.26433614251 y[1] (closed_form) = -0.0240827272185 1.26437244371 absolute error = 0.000114 relative error = 0.009012 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 11.53 Order of pole (three term test) = 39.39 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7271 1.664 h = 0.0001 0.005 y[1] (numeric) = -0.0202385830445 1.2725761894 y[1] (closed_form) = -0.0201157484615 1.27261485048 absolute error = 0.0001288 relative error = 0.01012 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 5.19 Order of pole (three term test) = 39.48 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.727 1.669 h = 0.0001 0.003 y[1] (numeric) = -0.0201857986702 1.27943362032 y[1] (closed_form) = -0.0200722467847 1.27946913553 absolute error = 0.000119 relative error = 0.009298 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.221 Order of pole (three term test) = 39.55 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7269 1.672 h = 0.001 0.001 y[1] (numeric) = -0.0201041556557 1.28356613507 y[1] (closed_form) = -0.0199906719931 1.28359779886 absolute error = 0.0001178 relative error = 0.009178 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.333 Order of pole (three term test) = 39.59 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7259 1.673 h = 0.001 0.003 y[1] (numeric) = -0.0187432971258 1.28496418023 y[1] (closed_form) = -0.0186304921673 1.2849939694 absolute error = 0.0001167 relative error = 0.009079 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 15.85 Order of pole (three term test) = 39.6 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7249 1.676 h = 0.0001 0.004 y[1] (numeric) = -0.0174140052996 1.28911934565 y[1] (closed_form) = -0.0172999666955 1.28915301308 absolute error = 0.0001189 relative error = 0.009223 % Correct digits = 4 memory used=905.4MB, alloc=52.3MB, time=10.63 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 9.023 Order of pole (three term test) = 39.65 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7248 1.68 h = 0.003 0.006 y[1] (numeric) = -0.0173375781425 1.29465949825 y[1] (closed_form) = -0.0172258356356 1.29469577917 absolute error = 0.0001175 relative error = 0.009074 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.05 Order of pole (three term test) = 39.7 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7218 1.686 h = 0.0001 0.005 y[1] (numeric) = -0.0132624028655 1.30305043221 y[1] (closed_form) = -0.0131354841475 1.30308904239 absolute error = 0.0001327 relative error = 0.01018 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 5.424 Order of pole (three term test) = 39.79 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7217 1.691 h = 0.0001 0.003 y[1] (numeric) = -0.013174138866 1.31004971528 y[1] (closed_form) = -0.0130567425842 1.31008515892 absolute error = 0.0001226 relative error = 0.00936 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.411 Order of pole (three term test) = 39.86 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7216 1.694 h = 0.001 0.001 y[1] (numeric) = -0.0130700824298 1.31426752311 y[1] (closed_form) = -0.0129527785443 1.31429902396 absolute error = 0.0001215 relative error = 0.009241 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.483 Order of pole (three term test) = 39.91 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7206 1.695 h = 0.0001 0.004 y[1] (numeric) = -0.0116739816062 1.31568774387 y[1] (closed_form) = -0.0115573835631 1.31571732941 absolute error = 0.0001203 relative error = 0.009142 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 20.96 Order of pole (three term test) = 39.92 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7205 1.699 h = 0.003 0.006 y[1] (numeric) = -0.0115737681545 1.32132146894 y[1] (closed_form) = -0.0114594117749 1.32135900397 absolute error = 0.0001204 relative error = 0.009108 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.52 Order of pole (three term test) = 39.98 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7175 1.705 h = 0.0001 0.005 y[1] (numeric) = -0.00739150650204 1.32984610966 y[1] (closed_form) = -0.0072616514564 1.32988595008 absolute error = 0.0001358 relative error = 0.01021 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 5.635 Order of pole (three term test) = 40.07 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7174 1.71 h = 0.0001 0.003 y[1] (numeric) = -0.00727310659712 1.33697048094 y[1] (closed_form) = -0.0071529841771 1.33700713474 absolute error = 0.0001256 relative error = 0.009393 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.582 Order of pole (three term test) = 40.15 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7173 1.713 h = 0.001 0.001 y[1] (numeric) = -0.007149979765 1.34126350918 y[1] (closed_form) = -0.00702997020059 1.34129613981 absolute error = 0.0001244 relative error = 0.009272 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.618 Order of pole (three term test) = 40.2 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7163 1.714 h = 0.001 0.003 y[1] (numeric) = -0.00572303879696 1.34270351121 y[1] (closed_form) = -0.005603758553 1.34273419061 absolute error = 0.0001232 relative error = 0.009172 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 17.21 Order of pole (three term test) = 40.21 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7153 1.717 h = 0.0001 0.004 y[1] (numeric) = -0.0043033065682 1.34700853233 y[1] (closed_form) = -0.00418269563767 1.34704325033 absolute error = 0.0001255 relative error = 0.009317 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 9.796 Order of pole (three term test) = 40.26 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7152 1.721 h = 0.003 0.006 y[1] (numeric) = -0.00417243001485 1.35276433568 y[1] (closed_form) = -0.00405418977911 1.35280180884 absolute error = 0.000124 relative error = 0.009169 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 13.08 Order of pole (three term test) = 40.32 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7122 1.727 h = 0.0001 0.005 y[1] (numeric) = 0.000139975780689 1.361445293 y[1] (closed_form) = 0.000274095937245 1.36148503631 absolute error = 0.0001399 relative error = 0.01027 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 5.889 Order of pole (three term test) = 40.41 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7121 1.732 h = 0.0001 0.003 y[1] (numeric) = 0.00029696951549 1.36871748278 y[1] (closed_form) = 0.000421107751948 1.36875402025 absolute error = 0.0001294 relative error = 0.009454 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.789 Order of pole (three term test) = 40.49 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.712 1.735 h = 0.001 0.001 y[1] (numeric) = 0.000444430056434 1.37309937742 y[1] (closed_form) = 0.000568429469583 1.373131797 absolute error = 0.0001282 relative error = 0.009334 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.782 Order of pole (three term test) = 40.54 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.711 1.736 h = 0.001 0.003 y[1] (numeric) = 0.00190842758491 1.37456216739 y[1] (closed_form) = 0.00203166910014 1.37459259371 absolute error = 0.0001269 relative error = 0.009235 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 17.98 Order of pole (three term test) = 40.56 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.71 1.739 h = 0.0001 0.004 y[1] (numeric) = 0.00337961256704 1.37894974151 y[1] (closed_form) = 0.0035042396572 1.37898429444 absolute error = 0.0001293 relative error = 0.009378 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 10.24 Order of pole (three term test) = 40.61 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7099 1.743 h = 0.003 0.006 y[1] (numeric) = 0.00354246501535 1.38482494535 y[1] (closed_form) = 0.00366468117272 1.38486233241 absolute error = 0.0001278 relative error = 0.009229 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 13.67 Order of pole (three term test) = 40.67 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7069 1.749 h = 0.0001 0.005 y[1] (numeric) = 0.00798900563108 1.39366517137 y[1] (closed_form) = 0.00812749073356 1.39370479068 absolute error = 0.000144 relative error = 0.01033 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 6.154 Order of pole (three term test) = 40.77 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7068 1.754 h = 0.0001 0.003 y[1] (numeric) = 0.0081863607763 1.40108845861 y[1] (closed_form) = 0.00831460936555 1.4011248537 absolute error = 0.0001333 relative error = 0.009515 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 5.005 Order of pole (three term test) = 40.85 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7067 1.757 h = 0.001 0.001 y[1] (numeric) = 0.00835924419216 1.40556118306 y[1] (closed_form) = 0.00848732696675 1.4055933637 absolute error = 0.0001321 relative error = 0.009395 % Correct digits = 4 memory used=949.1MB, alloc=52.3MB, time=11.14 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.952 Order of pole (three term test) = 40.9 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7057 1.758 h = 0.001 0.003 y[1] (numeric) = 0.00986130689946 1.40704708646 y[1] (closed_form) = 0.00998860238826 1.40707723108 absolute error = 0.0001308 relative error = 0.009297 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 18.79 Order of pole (three term test) = 40.92 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7047 1.761 h = 0.0001 0.004 y[1] (numeric) = 0.0113856386417 1.41151887086 y[1] (closed_form) = 0.0115143761879 1.41155323167 absolute error = 0.0001332 relative error = 0.009439 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 10.7 Order of pole (three term test) = 40.97 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7046 1.765 h = 0.003 0.006 y[1] (numeric) = 0.0115819114348 1.41751611585 y[1] (closed_form) = 0.011708197372 1.4175533916 absolute error = 0.0001317 relative error = 0.009288 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 14.29 Order of pole (three term test) = 41.04 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7016 1.771 h = 0.0001 0.005 y[1] (numeric) = 0.0161666758473 1.42651860403 y[1] (closed_form) = 0.0163096276919 1.42655807134 absolute error = 0.0001483 relative error = 0.01039 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 6.431 Order of pole (three term test) = 41.14 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7015 1.776 h = 0.0001 0.003 y[1] (numeric) = 0.0164062136237 1.43409632713 y[1] (closed_form) = 0.016538668943 1.43413255278 absolute error = 0.0001373 relative error = 0.009574 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 5.23 Order of pole (three term test) = 41.23 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7014 1.779 h = 0.001 0.001 y[1] (numeric) = 0.0166056418546 1.43866188029 y[1] (closed_form) = 0.0167379033093 1.43869379305 absolute error = 0.0001361 relative error = 0.009456 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.13 Order of pole (three term test) = 41.28 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.7004 1.78 h = 0.001 0.003 y[1] (numeric) = 0.0181468011044 1.44017122428 y[1] (closed_form) = 0.0182782450516 1.44020105751 absolute error = 0.0001348 relative error = 0.009358 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 19.64 Order of pole (three term test) = 41.3 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6994 1.783 h = 0.0001 0.004 y[1] (numeric) = 0.0197260174837 1.44472890224 y[1] (closed_form) = 0.0198589616116 1.44476304283 absolute error = 0.0001373 relative error = 0.009499 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 11.18 Order of pole (three term test) = 41.35 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6993 1.787 h = 0.003 0.006 y[1] (numeric) = 0.0199571987706 1.45085087689 y[1] (closed_form) = 0.0200876501753 1.45088801512 absolute error = 0.0001356 relative error = 0.009348 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 14.93 Order of pole (three term test) = 41.42 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6963 1.793 h = 0.0001 0.005 y[1] (numeric) = 0.0246843768182 1.46001866242 y[1] (closed_form) = 0.024831899202 1.46005794865 absolute error = 0.0001527 relative error = 0.01045 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 6.721 Order of pole (three term test) = 41.53 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6962 1.798 h = 0.0001 0.003 y[1] (numeric) = 0.0249679736959 1.46775422038 y[1] (closed_form) = 0.0251047340007 1.46779024847 absolute error = 0.0001414 relative error = 0.009634 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 5.466 Order of pole (three term test) = 41.62 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6961 1.801 h = 0.001 0.001 y[1] (numeric) = 0.0251951024336 1.47241463728 y[1] (closed_form) = 0.0253316397298 1.47244625211 absolute error = 0.0001401 relative error = 0.009517 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.316 Order of pole (three term test) = 41.67 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6951 1.802 h = 0.0001 0.004 y[1] (numeric) = 0.0267764128811 1.47394775057 y[1] (closed_form) = 0.0269121015906 1.47397724162 absolute error = 0.0001389 relative error = 0.009419 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.97 Order of pole (three term test) = 41.69 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.695 1.806 h = 0.003 0.006 y[1] (numeric) = 0.0270370784225 1.48017381785 y[1] (closed_form) = 0.0271704971963 1.48021228015 absolute error = 0.0001389 relative error = 0.009379 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 15.51 Order of pole (three term test) = 41.76 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.692 1.812 h = 0.0001 0.005 y[1] (numeric) = 0.0318882564234 1.48948811477 y[1] (closed_form) = 0.0320391020436 1.48952869012 absolute error = 0.0001562 relative error = 0.01048 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 6.982 Order of pole (three term test) = 41.87 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6919 1.817 h = 0.0001 0.003 y[1] (numeric) = 0.0322093875593 1.49736285692 y[1] (closed_form) = 0.0323492381673 1.49740015751 absolute error = 0.0001447 relative error = 0.009664 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 5.678 Order of pole (three term test) = 41.97 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6918 1.82 h = 0.001 0.001 y[1] (numeric) = 0.0324601482365 1.50210693638 y[1] (closed_form) = 0.0325997510728 1.50213973538 absolute error = 0.0001434 relative error = 0.009544 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.484 Order of pole (three term test) = 42.02 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6908 1.821 h = 0.001 0.003 y[1] (numeric) = 0.0340765937352 1.50366126966 y[1] (closed_form) = 0.0342153210669 1.50369190579 absolute error = 0.0001421 relative error = 0.009446 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 21.32 Order of pole (three term test) = 42.04 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6898 1.824 h = 0.0001 0.004 y[1] (numeric) = 0.035761646516 1.50838405099 y[1] (closed_form) = 0.0359019855816 1.50841916915 absolute error = 0.0001447 relative error = 0.009588 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.14 Order of pole (three term test) = 42.1 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6897 1.828 h = 0.003 0.006 y[1] (numeric) = 0.0360603365837 1.51474590135 y[1] (closed_form) = 0.0361981042178 1.51478417579 absolute error = 0.000143 relative error = 0.009437 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 16.21 Order of pole (three term test) = 42.18 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6867 1.834 h = 0.0001 0.005 y[1] (numeric) = 0.0410619646401 1.52423130875 y[1] (closed_form) = 0.0412175797867 1.52427164709 absolute error = 0.0001608 relative error = 0.01054 % Correct digits = 4 memory used=993.0MB, alloc=52.3MB, time=11.66 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 7.296 Order of pole (three term test) = 42.29 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6866 1.839 h = 0.0001 0.003 y[1] (numeric) = 0.0414307570287 1.53227039951 y[1] (closed_form) = 0.0415751009503 1.5323074485 absolute error = 0.000149 relative error = 0.009722 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 5.933 Order of pole (three term test) = 42.39 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6865 1.842 h = 0.001 0.001 y[1] (numeric) = 0.0417114366768 1.53711324262 y[1] (closed_form) = 0.0418555015722 1.53714568596 absolute error = 0.0001477 relative error = 0.009603 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.686 Order of pole (three term test) = 42.45 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6855 1.843 h = 0.001 0.003 y[1] (numeric) = 0.0433700557954 1.53869197396 y[1] (closed_form) = 0.0435132124546 1.53872220871 absolute error = 0.0001463 relative error = 0.009505 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.28 Order of pole (three term test) = 42.47 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6845 1.846 h = 0.0001 0.004 y[1] (numeric) = 0.0451151967278 1.54350563373 y[1] (closed_form) = 0.0452600281857 1.54354044639 absolute error = 0.000149 relative error = 0.009646 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.68 Order of pole (three term test) = 42.53 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6844 1.85 h = 0.003 0.006 y[1] (numeric) = 0.0454532716531 1.55000019666 y[1] (closed_form) = 0.0455954892918 1.55003825401 absolute error = 0.0001472 relative error = 0.009494 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 16.94 Order of pole (three term test) = 42.61 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6814 1.856 h = 0.0001 0.005 y[1] (numeric) = 0.0506098422863 1.5596598727 y[1] (closed_form) = 0.0507703367221 1.55969994158 absolute error = 0.0001654 relative error = 0.0106 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 7.625 Order of pole (three term test) = 42.73 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6813 1.861 h = 0.0001 0.003 y[1] (numeric) = 0.0510283389269 1.56786689127 y[1] (closed_form) = 0.0511772800189 1.56790365733 absolute error = 0.0001534 relative error = 0.009779 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 6.201 Order of pole (three term test) = 42.83 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6812 1.864 h = 0.001 0.001 y[1] (numeric) = 0.051340194951 1.57281064053 y[1] (closed_form) = 0.0514888245609 1.57284269484 absolute error = 0.000152 relative error = 0.009662 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.897 Order of pole (three term test) = 42.89 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6802 1.865 h = 0.001 0.003 y[1] (numeric) = 0.0530421120799 1.57441410288 y[1] (closed_form) = 0.0531897997928 1.5744439021 absolute error = 0.0001507 relative error = 0.009564 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.29 Order of pole (three term test) = 42.91 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6792 1.868 h = 0.0001 0.004 y[1] (numeric) = 0.0548492594442 1.57932042875 y[1] (closed_form) = 0.0549986868517 1.57935490345 absolute error = 0.0001534 relative error = 0.009704 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 13.26 Order of pole (three term test) = 42.97 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6791 1.872 h = 0.003 0.006 y[1] (numeric) = 0.0552283880104 1.58595058644 y[1] (closed_form) = 0.0553751587761 1.58598839632 absolute error = 0.0001516 relative error = 0.009551 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 17.71 Order of pole (three term test) = 43.05 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6761 1.878 h = 0.0001 0.005 y[1] (numeric) = 0.0605445050261 1.59578773257 y[1] (closed_form) = 0.0607099906753 1.59582749826 absolute error = 0.0001702 relative error = 0.01066 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 7.968 Order of pole (three term test) = 43.18 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.676 1.883 h = 0.0001 0.003 y[1] (numeric) = 0.061014810743 1.60416632311 y[1] (closed_form) = 0.061168454892 1.60420277371 absolute error = 0.0001579 relative error = 0.009836 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 6.48 Order of pole (three term test) = 43.29 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6759 1.886 h = 0.001 0.001 y[1] (numeric) = 0.0613591382953 1.60921315976 y[1] (closed_form) = 0.0615124372654 1.60924479045 absolute error = 0.0001565 relative error = 0.00972 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 5.117 Order of pole (three term test) = 43.35 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6749 1.887 h = 0.001 0.003 y[1] (numeric) = 0.063105503333 1.61084168727 y[1] (closed_form) = 0.0632578257901 1.61087101554 absolute error = 0.0001551 relative error = 0.009622 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.33 Order of pole (three term test) = 43.37 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6739 1.89 h = 0.0001 0.004 y[1] (numeric) = 0.0649766252911 1.61584249469 y[1] (closed_form) = 0.0651307542223 1.61587659773 absolute error = 0.0001579 relative error = 0.009761 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 13.85 Order of pole (three term test) = 43.44 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6738 1.894 h = 0.003 0.006 y[1] (numeric) = 0.0653985266218 1.62261118154 y[1] (closed_form) = 0.0655499556551 1.62264871241 absolute error = 0.000156 relative error = 0.009607 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 18.5 Order of pole (three term test) = 43.52 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6708 1.9 h = 0.0001 0.005 y[1] (numeric) = 0.0708789079557 1.63262904294 y[1] (closed_form) = 0.0710494989476 1.63266847043 absolute error = 0.0001751 relative error = 0.01071 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 8.327 Order of pole (three term test) = 43.65 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6707 1.905 h = 0.0001 0.003 y[1] (numeric) = 0.0714031912077 1.64118291576 y[1] (closed_form) = 0.0715616463711 1.64121901714 absolute error = 0.0001625 relative error = 0.009893 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 6.772 Order of pole (three term test) = 43.76 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6706 1.908 h = 0.001 0.001 y[1] (numeric) = 0.0717813242867 1.64633506046 y[1] (closed_form) = 0.0719393992929 1.64636623163 absolute error = 0.0001611 relative error = 0.009777 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 5.348 Order of pole (three term test) = 43.83 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6696 1.909 h = 0.0001 0.004 y[1] (numeric) = 0.0735733132424 1.64798898832 y[1] (closed_form) = 0.0737303761373 1.64801780894 absolute error = 0.0001597 relative error = 0.00968 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 32.18 Order of pole (three term test) = 43.85 0 NO COMPLEX POLE (six term test) for Equation 1 memory used=1037.0MB, alloc=52.3MB, time=12.18 x[1] = -4.6695 1.913 h = 0.003 0.006 y[1] (numeric) = 0.0740312844504 1.65487325162 y[1] (closed_form) = 0.0741860736529 1.65491217461 absolute error = 0.0001596 relative error = 0.009635 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 19.22 Order of pole (three term test) = 43.94 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6665 1.919 h = 0.0001 0.005 y[1] (numeric) = 0.0796547202097 1.66505133435 y[1] (closed_form) = 0.0798290643049 1.66509210561 absolute error = 0.000179 relative error = 0.01074 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 8.65 Order of pole (three term test) = 44.08 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6664 1.924 h = 0.0001 0.003 y[1] (numeric) = 0.080225102563 1.67375978616 y[1] (closed_form) = 0.0803870525449 1.67379721924 absolute error = 0.0001662 relative error = 0.009919 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 7.034 Order of pole (three term test) = 44.19 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6663 1.927 h = 0.001 0.001 y[1] (numeric) = 0.0806321418603 1.67900481044 y[1] (closed_form) = 0.0807936818678 1.67903721623 absolute error = 0.0001648 relative error = 0.009801 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 5.555 Order of pole (three term test) = 44.26 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6653 1.928 h = 0.001 0.003 y[1] (numeric) = 0.0824640564488 1.68068143426 y[1] (closed_form) = 0.0826245534827 1.68071144694 absolute error = 0.0001633 relative error = 0.009703 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.42 Order of pole (three term test) = 44.29 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6643 1.931 h = 0.0001 0.004 y[1] (numeric) = 0.0844584570653 1.68586379821 y[1] (closed_form) = 0.0846208887994 1.68589877599 absolute error = 0.0001662 relative error = 0.009843 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 15.04 Order of pole (three term test) = 44.36 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6642 1.935 h = 0.003 0.006 y[1] (numeric) = 0.0849629674193 1.69289880876 y[1] (closed_form) = 0.0851226164531 1.69293739209 absolute error = 0.0001642 relative error = 0.00969 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 20.09 Order of pole (three term test) = 44.45 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6612 1.941 h = 0.0001 0.005 y[1] (numeric) = 0.0907597203391 1.70326382241 y[1] (closed_form) = 0.0909393886201 1.70330418812 absolute error = 0.0001841 relative error = 0.0108 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 9.039 Order of pole (three term test) = 44.59 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6611 1.946 h = 0.0001 0.003 y[1] (numeric) = 0.0913882448602 1.71215466833 y[1] (closed_form) = 0.0915552128321 1.71219168726 absolute error = 0.000171 relative error = 0.009974 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 7.351 Order of pole (three term test) = 44.71 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.661 1.949 h = 0.001 0.001 y[1] (numeric) = 0.0918316516182 1.71750925719 y[1] (closed_form) = 0.0919981721677 1.71754113446 absolute error = 0.0001695 relative error = 0.009857 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 5.805 Order of pole (three term test) = 44.78 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.66 1.95 h = 0.001 0.003 y[1] (numeric) = 0.0937114459936 1.71921192226 y[1] (closed_form) = 0.0938768860802 1.71924135671 absolute error = 0.000168 relative error = 0.009759 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.61 Order of pole (three term test) = 44.81 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.659 1.953 h = 0.0001 0.004 y[1] (numeric) = 0.0957757162885 1.72449414365 y[1] (closed_form) = 0.0959431635219 1.72452864761 absolute error = 0.000171 relative error = 0.009898 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 15.72 Order of pole (three term test) = 44.88 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6589 1.957 h = 0.003 0.006 y[1] (numeric) = 0.0963281715716 1.73167639764 y[1] (closed_form) = 0.0964927915927 1.73171460621 absolute error = 0.000169 relative error = 0.009744 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 20.99 Order of pole (three term test) = 44.98 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6559 1.963 h = 0.0001 0.005 y[1] (numeric) = 0.102303301829 1.74223171594 y[1] (closed_form) = 0.102488414994 1.74227163715 absolute error = 0.0001894 relative error = 0.01085 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 9.446 Order of pole (three term test) = 45.12 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6558 1.968 h = 0.0001 0.003 y[1] (numeric) = 0.102992328579 1.75130886294 y[1] (closed_form) = 0.103164428669 1.75134543019 absolute error = 0.0001759 relative error = 0.01003 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 7.682 Order of pole (three term test) = 45.25 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6557 1.971 h = 0.001 0.001 y[1] (numeric) = 0.103473553742 1.75677535423 y[1] (closed_form) = 0.103645167558 1.75680666324 absolute error = 0.0001744 relative error = 0.009913 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 6.066 Order of pole (three term test) = 45.33 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6547 1.972 h = 0.001 0.003 y[1] (numeric) = 0.105402482037 1.75850439845 y[1] (closed_form) = 0.105572976839 1.75853321405 absolute error = 0.0001729 relative error = 0.009815 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.85 Order of pole (three term test) = 45.35 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6537 1.975 h = 0.0001 0.004 y[1] (numeric) = 0.107538795066 1.76388840412 y[1] (closed_form) = 0.107711371559 1.76392239551 absolute error = 0.0001759 relative error = 0.009953 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 16.42 Order of pole (three term test) = 45.42 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6536 1.979 h = 0.003 0.006 y[1] (numeric) = 0.108141122184 1.77122104726 y[1] (closed_form) = 0.108310826527 1.77125884465 absolute error = 0.0001739 relative error = 0.009797 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 21.93 Order of pole (three term test) = 45.53 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6506 1.985 h = 0.0001 0.005 y[1] (numeric) = 0.114299815663 1.78197008913 y[1] (closed_form) = 0.114490496791 1.78200952541 absolute error = 0.0001947 relative error = 0.0109 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 9.872 Order of pole (three term test) = 45.68 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6505 1.99 h = 0.0001 0.003 y[1] (numeric) = 0.115051775737 1.79123751498 y[1] (closed_form) = 0.115229124308 1.79127359164 absolute error = 0.000181 relative error = 0.01008 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 8.028 Order of pole (three term test) = 45.81 0 NO COMPLEX POLE (six term test) for Equation 1 memory used=1080.7MB, alloc=52.3MB, time=12.70 x[1] = -4.6504 1.993 h = 0.001 0.001 y[1] (numeric) = 0.11557231359 1.79681828879 y[1] (closed_form) = 0.115749135588 1.79684898832 absolute error = 0.0001795 relative error = 0.009967 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 6.339 Order of pole (three term test) = 45.89 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6494 1.994 h = 0.001 0.003 y[1] (numeric) = 0.11755165849 1.7985740506 y[1] (closed_form) = 0.11772732183 1.79860220526 absolute error = 0.0001779 relative error = 0.00987 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.15 Order of pole (three term test) = 45.92 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6484 1.997 h = 0.0001 0.004 y[1] (numeric) = 0.119762243892 1.80406179703 y[1] (closed_form) = 0.119940065624 1.80409523562 absolute error = 0.0001809 relative error = 0.01001 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 17.16 Order of pole (three term test) = 45.99 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6483 2.001 h = 0.003 0.006 y[1] (numeric) = 0.120416427563 1.81154803196 y[1] (closed_form) = 0.120591331786 1.81158538036 absolute error = 0.0001788 relative error = 0.009851 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.92 Order of pole (three term test) = 46.1 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6453 2.007 h = 0.0001 0.005 y[1] (numeric) = 0.12676399902 1.82249426181 y[1] (closed_form) = 0.126960373614 1.82253317121 absolute error = 0.0002002 relative error = 0.01096 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 10.32 Order of pole (three term test) = 46.26 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6452 2.012 h = 0.0001 0.003 y[1] (numeric) = 0.127581396582 1.83195601638 y[1] (closed_form) = 0.127764112274 1.83199156207 absolute error = 0.0001861 relative error = 0.01014 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 8.389 Order of pole (three term test) = 46.4 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6451 2.015 h = 0.001 0.001 y[1] (numeric) = 0.128142785984 1.83765349569 y[1] (closed_form) = 0.12832493331 1.83768354305 absolute error = 0.0001846 relative error = 0.01002 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 6.625 Order of pole (three term test) = 46.48 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6441 2.016 h = 0.0001 0.004 y[1] (numeric) = 0.130173859393 1.83943631397 y[1] (closed_form) = 0.130354807297 1.83946376412 absolute error = 0.000183 relative error = 0.009925 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 39.86 Order of pole (three term test) = 46.51 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.644 2.02 h = 0.003 0.006 y[1] (numeric) = 0.13087172017 1.84705066088 y[1] (closed_form) = 0.131050421283 1.84708946612 absolute error = 0.0001829 relative error = 0.009875 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.81 Order of pole (three term test) = 46.62 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.641 2.026 h = 0.0001 0.005 y[1] (numeric) = 0.137383822272 1.85817177131 y[1] (closed_form) = 0.137584427738 1.85821207311 absolute error = 0.0002046 relative error = 0.01098 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 10.72 Order of pole (three term test) = 46.78 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6409 2.031 h = 0.0001 0.003 y[1] (numeric) = 0.138257226981 1.86780491801 y[1] (closed_form) = 0.138443887052 1.86784184991 absolute error = 0.0001903 relative error = 0.01016 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 8.714 Order of pole (three term test) = 46.92 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6408 2.034 h = 0.001 0.001 y[1] (numeric) = 0.138853616996 1.87360533957 y[1] (closed_form) = 0.139039672977 1.87363666637 absolute error = 0.0001887 relative error = 0.01004 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 6.881 Order of pole (three term test) = 47.01 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6398 2.035 h = 0.001 0.003 y[1] (numeric) = 0.140929962131 1.87541235673 y[1] (closed_form) = 0.141114783316 1.87544104004 absolute error = 0.000187 relative error = 0.009945 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 32.73 Order of pole (three term test) = 47.04 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6388 2.038 h = 0.0001 0.004 y[1] (numeric) = 0.143283593134 1.88109940083 y[1] (closed_form) = 0.143470720035 1.88113357537 absolute error = 0.0001902 relative error = 0.01008 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 18.63 Order of pole (three term test) = 47.12 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6387 2.042 h = 0.003 0.006 y[1] (numeric) = 0.144037834687 1.88888083374 y[1] (closed_form) = 0.144221957261 1.88891911728 absolute error = 0.0001881 relative error = 0.009927 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.88 Order of pole (three term test) = 47.24 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6357 2.048 h = 0.0001 0.005 y[1] (numeric) = 0.150749015837 1.90020576799 y[1] (closed_form) = 0.150955555464 1.90024546221 absolute error = 0.0002103 relative error = 0.01103 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 11.2 Order of pole (three term test) = 47.41 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6356 2.053 h = 0.0001 0.003 y[1] (numeric) = 0.151692669029 1.91004100741 y[1] (closed_form) = 0.151884923727 1.91007733069 absolute error = 0.0001957 relative error = 0.01021 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 9.106 Order of pole (three term test) = 47.56 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6355 2.056 h = 0.001 0.001 y[1] (numeric) = 0.152332866951 1.9159627796 y[1] (closed_form) = 0.152524472888 1.9159933721 absolute error = 0.000194 relative error = 0.0101 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 7.191 Order of pole (three term test) = 47.65 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6345 2.057 h = 0.001 0.003 y[1] (numeric) = 0.154463457791 1.91779750087 y[1] (closed_form) = 0.154653786008 1.91782539583 absolute error = 0.0001924 relative error = 0.009998 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 34.2 Order of pole (three term test) = 47.68 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6335 2.06 h = 0.0001 0.004 y[1] (numeric) = 0.156898040913 1.92359407848 y[1] (closed_form) = 0.157090758029 1.92362757837 absolute error = 0.0001956 relative error = 0.01013 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 19.47 Order of pole (three term test) = 47.76 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6334 2.064 h = 0.003 0.006 y[1] (numeric) = 0.157710110514 1.93153861469 y[1] (closed_form) = 0.157899776725 1.93157633459 absolute error = 0.0001934 relative error = 0.009978 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26 Order of pole (three term test) = 47.89 0 NO COMPLEX POLE (six term test) for Equation 1 memory used=1124.6MB, alloc=52.3MB, time=13.21 x[1] = -4.6304 2.07 h = 0.0001 0.005 y[1] (numeric) = 0.164626071667 1.9430709709 y[1] (closed_form) = 0.164838678181 1.94311001102 absolute error = 0.0002162 relative error = 0.01108 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 11.7 Order of pole (three term test) = 48.06 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6303 2.075 h = 0.0001 0.003 y[1] (numeric) = 0.165642697327 1.95311256707 y[1] (closed_form) = 0.16584067208 1.95314823699 absolute error = 0.0002012 relative error = 0.01026 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 9.516 Order of pole (three term test) = 48.22 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6302 2.078 h = 0.001 0.001 y[1] (numeric) = 0.1663283761 1.95915824046 y[1] (closed_form) = 0.166525655787 1.95918805146 absolute error = 0.0001995 relative error = 0.01015 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 7.515 Order of pole (three term test) = 48.31 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6292 2.079 h = 0.001 0.003 y[1] (numeric) = 0.16851461192 1.96102100545 y[1] (closed_form) = 0.168710569752 1.96104806392 absolute error = 0.0001978 relative error = 0.01005 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 35.74 Order of pole (three term test) = 48.34 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6282 2.082 h = 0.0001 0.004 y[1] (numeric) = 0.171032609008 1.96692919157 y[1] (closed_form) = 0.171231041317 1.96696197068 absolute error = 0.0002011 relative error = 0.01019 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 20.34 Order of pole (three term test) = 48.43 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6281 2.086 h = 0.003 0.006 y[1] (numeric) = 0.171904729703 1.9750402638 y[1] (closed_form) = 0.172100064126 1.97507737655 absolute error = 0.0001988 relative error = 0.01003 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.17 Order of pole (three term test) = 48.56 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6251 2.092 h = 0.0001 0.005 y[1] (numeric) = 0.179031313554 1.9867836869 y[1] (closed_form) = 0.179250122296 1.98682202466 absolute error = 0.0002221 relative error = 0.01114 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.23 Order of pole (three term test) = 48.74 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.625 2.097 h = 0.0001 0.003 y[1] (numeric) = 0.180123717063 1.99703598091 y[1] (closed_form) = 0.180327539753 1.9970709511 absolute error = 0.0002068 relative error = 0.01031 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 9.945 Order of pole (three term test) = 48.91 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6249 2.1 h = 0.001 0.001 y[1] (numeric) = 0.180856599261 2.00320815195 y[1] (closed_form) = 0.181059678898 2.00323713257 absolute error = 0.0002051 relative error = 0.0102 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 7.853 Order of pole (three term test) = 49.01 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6239 2.101 h = 0.001 0.003 y[1] (numeric) = 0.183099911245 2.00509930006 y[1] (closed_form) = 0.183301623647 2.00512547221 absolute error = 0.0002034 relative error = 0.0101 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 37.35 Order of pole (three term test) = 49.04 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6229 2.104 h = 0.0001 0.004 y[1] (numeric) = 0.185703848205 2.01112120113 y[1] (closed_form) = 0.185908123125 2.01115321166 absolute error = 0.0002068 relative error = 0.01024 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 21.26 Order of pole (three term test) = 49.13 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6228 2.108 h = 0.003 0.006 y[1] (numeric) = 0.186638309261 2.019402304 y[1] (closed_form) = 0.18683943891 2.01943876451 absolute error = 0.0002044 relative error = 0.01008 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.4 Order of pole (three term test) = 49.27 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6198 2.114 h = 0.0001 0.005 y[1] (numeric) = 0.193981503755 2.03136048605 y[1] (closed_form) = 0.194206652729 2.03139807143 absolute error = 0.0002283 relative error = 0.01119 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.78 Order of pole (three term test) = 49.46 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6197 2.119 h = 0.0001 0.003 y[1] (numeric) = 0.195152574182 2.04182789738 y[1] (closed_form) = 0.195362375195 2.0418621198 absolute error = 0.0002126 relative error = 0.01036 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 10.39 Order of pole (three term test) = 49.63 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6196 2.122 h = 0.001 0.001 y[1] (numeric) = 0.195934433403 2.04812920919 y[1] (closed_form) = 0.196143441641 2.04815730881 absolute error = 0.0002109 relative error = 0.01025 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 8.206 Order of pole (three term test) = 49.73 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6186 2.123 h = 0.0001 0.004 y[1] (numeric) = 0.198236285377 2.05004907945 y[1] (closed_form) = 0.198443879721 2.05007431372 absolute error = 0.0002091 relative error = 0.01015 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 49.38 Order of pole (three term test) = 49.76 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6185 2.127 h = 0.003 0.006 y[1] (numeric) = 0.19922320311 2.05847197544 y[1] (closed_form) = 0.199428615363 2.05850995249 absolute error = 0.0002089 relative error = 0.0101 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.5 Order of pole (three term test) = 49.9 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6155 2.133 h = 0.0001 0.005 y[1] (numeric) = 0.206755138424 2.0706206876 y[1] (closed_form) = 0.20698504937 2.07065970594 absolute error = 0.0002332 relative error = 0.01121 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 13.27 Order of pole (three term test) = 50.1 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6154 2.138 h = 0.0001 0.003 y[1] (numeric) = 0.207993666228 2.08127785011 y[1] (closed_form) = 0.208207911382 2.08131350664 absolute error = 0.0002172 relative error = 0.01038 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 10.79 Order of pole (three term test) = 50.27 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6153 2.141 h = 0.001 0.001 y[1] (numeric) = 0.208817561442 2.08769308786 y[1] (closed_form) = 0.209030971219 2.08772250423 absolute error = 0.0002154 relative error = 0.01027 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 8.524 Order of pole (three term test) = 50.38 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6143 2.142 h = 0.001 0.003 y[1] (numeric) = 0.21117065273 2.08963867396 y[1] (closed_form) = 0.211382608095 2.08966517463 absolute error = 0.0002136 relative error = 0.01017 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 40.54 Order of pole (three term test) = 50.41 0 NO COMPLEX POLE (six term test) for Equation 1 memory used=1168.6MB, alloc=52.3MB, time=13.73 x[1] = -4.6133 2.145 h = 0.0001 0.004 y[1] (numeric) = 0.213940037508 2.09587898543 y[1] (closed_form) = 0.21415472454 2.0959115502 absolute error = 0.0002171 relative error = 0.01031 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.08 Order of pole (three term test) = 50.52 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6132 2.149 h = 0.003 0.006 y[1] (numeric) = 0.214994700327 2.10448680344 y[1] (closed_form) = 0.215206151402 2.10452404149 absolute error = 0.0002147 relative error = 0.01015 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.82 Order of pole (three term test) = 50.66 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6102 2.155 h = 0.0001 0.005 y[1] (numeric) = 0.222754742091 2.11685734653 y[1] (closed_form) = 0.222991257976 2.11689551626 absolute error = 0.0002396 relative error = 0.01126 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 13.87 Order of pole (three term test) = 50.87 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6101 2.16 h = 0.0001 0.003 y[1] (numeric) = 0.224077488603 2.12773810013 y[1] (closed_form) = 0.224297962149 2.12777291641 absolute error = 0.0002232 relative error = 0.01043 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 11.28 Order of pole (three term test) = 51.05 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.61 2.163 h = 0.001 0.001 y[1] (numeric) = 0.224953768961 2.1342875464 y[1] (closed_form) = 0.225173354066 2.1343159844 absolute error = 0.0002214 relative error = 0.01032 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 8.908 Order of pole (three term test) = 51.16 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.609 2.164 h = 0.001 0.003 y[1] (numeric) = 0.227368209505 2.13626250228 y[1] (closed_form) = 0.227586291079 2.13628796585 absolute error = 0.0002196 relative error = 0.01022 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 42.36 Order of pole (three term test) = 51.2 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.608 2.167 h = 0.0001 0.004 y[1] (numeric) = 0.230231102411 2.14262276441 y[1] (closed_form) = 0.230452011091 2.14265441584 absolute error = 0.0002232 relative error = 0.01036 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.12 Order of pole (three term test) = 51.3 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6079 2.171 h = 0.003 0.006 y[1] (numeric) = 0.231354992943 2.15141099196 y[1] (closed_form) = 0.231572617129 2.15144744108 absolute error = 0.0002207 relative error = 0.0102 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 32.21 Order of pole (three term test) = 51.46 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6049 2.177 h = 0.0001 0.005 y[1] (numeric) = 0.239349564166 2.1640071962 y[1] (closed_form) = 0.239592830924 2.16404446197 absolute error = 0.0002461 relative error = 0.0113 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 14.5 Order of pole (three term test) = 51.67 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6048 2.182 h = 0.0001 0.003 y[1] (numeric) = 0.240759670041 2.17511619317 y[1] (closed_form) = 0.240986509817 2.17515011609 absolute error = 0.0002294 relative error = 0.01048 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 11.79 Order of pole (three term test) = 51.86 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6047 2.185 h = 0.001 0.001 y[1] (numeric) = 0.241690262507 2.18180262964 y[1] (closed_form) = 0.241916158884 2.18183003346 absolute error = 0.0002276 relative error = 0.01037 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 9.309 Order of pole (three term test) = 51.98 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6037 2.186 h = 0.001 0.003 y[1] (numeric) = 0.2441676137 2.18380729265 y[1] (closed_form) = 0.244391956049 2.18383166228 absolute error = 0.0002257 relative error = 0.01027 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 44.27 Order of pole (three term test) = 52.01 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6027 2.189 h = 0.0001 0.004 y[1] (numeric) = 0.247126803318 2.19028973755 y[1] (closed_form) = 0.247354070944 2.19032042096 absolute error = 0.0002293 relative error = 0.0104 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.2 Order of pole (three term test) = 52.13 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.6026 2.193 h = 0.003 0.006 y[1] (numeric) = 0.248322483539 2.19926211927 y[1] (closed_form) = 0.248546417757 2.19929772774 absolute error = 0.0002267 relative error = 0.01024 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 33.66 Order of pole (three term test) = 52.28 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5996 2.199 h = 0.0001 0.005 y[1] (numeric) = 0.256558166787 2.2120878631 y[1] (closed_form) = 0.25680833322 2.21212416758 absolute error = 0.0002528 relative error = 0.01135 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 15.15 Order of pole (three term test) = 52.51 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5995 2.204 h = 0.0001 0.003 y[1] (numeric) = 0.25805886574 2.22342983943 y[1] (closed_form) = 0.258292212277 2.22346281395 absolute error = 0.0002357 relative error = 0.01053 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.32 Order of pole (three term test) = 52.71 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5994 2.207 h = 0.001 0.001 y[1] (numeric) = 0.259045753988 2.23025609757 y[1] (closed_form) = 0.259278100218 2.23028240941 absolute error = 0.0002338 relative error = 0.01041 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 9.728 Order of pole (three term test) = 52.83 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5984 2.208 h = 0.001 0.003 y[1] (numeric) = 0.261587612833 2.2322908039 y[1] (closed_form) = 0.261818353123 2.2323140208 absolute error = 0.0002319 relative error = 0.01032 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 46.26 Order of pole (three term test) = 52.87 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5974 2.211 h = 0.0001 0.004 y[1] (numeric) = 0.264645960146 2.23889769694 y[1] (closed_form) = 0.264879726689 2.23892735574 absolute error = 0.0002356 relative error = 0.01045 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.33 Order of pole (three term test) = 52.98 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5973 2.215 h = 0.003 0.006 y[1] (numeric) = 0.265916067713 2.24805804469 y[1] (closed_form) = 0.266146451562 2.24809275893 absolute error = 0.000233 relative error = 0.01029 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 35.17 Order of pole (three term test) = 53.15 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5943 2.221 h = 0.0001 0.005 y[1] (numeric) = 0.274399609012 2.26111725494 y[1] (closed_form) = 0.274656826842 2.26115253876 absolute error = 0.0002596 relative error = 0.0114 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 15.83 Order of pole (three term test) = 53.38 0 NO COMPLEX POLE (six term test) for Equation 1 memory used=1212.4MB, alloc=52.3MB, time=14.24 x[1] = -4.5942 2.226 h = 0.0001 0.003 y[1] (numeric) = 0.275994230396 2.2726970317 y[1] (closed_form) = 0.276234226972 2.27272900086 absolute error = 0.0002421 relative error = 0.01058 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.87 Order of pole (three term test) = 53.59 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5941 2.229 h = 0.001 0.001 y[1] (numeric) = 0.277039456374 2.2796659936 y[1] (closed_form) = 0.277278393726 2.27969115369 absolute error = 0.0002403 relative error = 0.01046 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 10.17 Order of pole (three term test) = 53.72 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5931 2.23 h = 0.0001 0.004 y[1] (numeric) = 0.279647456292 2.28173107813 y[1] (closed_form) = 0.279884734337 2.28175308148 absolute error = 0.0002383 relative error = 0.01037 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 61.17 Order of pole (three term test) = 53.76 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.593 2.234 h = 0.003 0.006 y[1] (numeric) = 0.280980142111 2.29104814558 y[1] (closed_form) = 0.281215348846 2.29108442904 absolute error = 0.000238 relative error = 0.01031 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 36.54 Order of pole (three term test) = 53.93 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.59 2.24 h = 0.0001 0.005 y[1] (numeric) = 0.289679715532 2.30431456252 y[1] (closed_form) = 0.289942285725 2.30435130931 absolute error = 0.0002651 relative error = 0.01142 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 16.44 Order of pole (three term test) = 54.17 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5899 2.245 h = 0.0001 0.003 y[1] (numeric) = 0.291355010802 2.31610413118 y[1] (closed_form) = 0.291600007144 2.31613757356 absolute error = 0.0002473 relative error = 0.01059 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 13.37 Order of pole (three term test) = 54.39 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5898 2.248 h = 0.001 0.001 y[1] (numeric) = 0.292450385206 2.32319900401 y[1] (closed_form) = 0.292694271743 2.32322550831 absolute error = 0.0002453 relative error = 0.01048 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 10.56 Order of pole (three term test) = 54.52 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5888 2.249 h = 0.001 0.003 y[1] (numeric) = 0.295116286303 2.32529131907 y[1] (closed_form) = 0.295358467156 2.32531461192 absolute error = 0.0002433 relative error = 0.01038 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 50.22 Order of pole (three term test) = 54.56 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5878 2.252 h = 0.0001 0.004 y[1] (numeric) = 0.298365465491 2.3321371909 y[1] (closed_form) = 0.298610866631 2.3321671713 absolute error = 0.0002472 relative error = 0.01051 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.59 Order of pole (three term test) = 54.68 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5877 2.256 h = 0.003 0.006 y[1] (numeric) = 0.299779003695 2.34165864433 y[1] (closed_form) = 0.300020927829 2.34169393048 absolute error = 0.0002445 relative error = 0.01036 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 38.18 Order of pole (three term test) = 54.86 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5847 2.262 h = 0.0001 0.005 y[1] (numeric) = 0.308739388594 2.35516604938 y[1] (closed_form) = 0.309009301238 2.35520166125 absolute error = 0.0002723 relative error = 0.01146 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 17.18 Order of pole (three term test) = 55.11 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5846 2.267 h = 0.0001 0.003 y[1] (numeric) = 0.310515005198 2.36720266321 y[1] (closed_form) = 0.310766926407 2.3672349906 absolute error = 0.000254 relative error = 0.01064 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 13.97 Order of pole (three term test) = 55.34 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5845 2.27 h = 0.001 0.001 y[1] (numeric) = 0.311672641751 2.37444576632 y[1] (closed_form) = 0.311923390369 2.37447100386 absolute error = 0.000252 relative error = 0.01052 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 11.03 Order of pole (three term test) = 55.48 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5835 2.271 h = 0.001 0.003 y[1] (numeric) = 0.314407819153 2.37656909882 y[1] (closed_form) = 0.314656805923 2.37659106113 absolute error = 0.00025 relative error = 0.01043 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 52.47 Order of pole (three term test) = 55.52 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5825 2.274 h = 0.0001 0.004 y[1] (numeric) = 0.317764728675 2.38354612346 y[1] (closed_form) = 0.318017045135 2.38357490794 absolute error = 0.000254 relative error = 0.01056 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.87 Order of pole (three term test) = 55.65 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5824 2.278 h = 0.003 0.006 y[1] (numeric) = 0.319260628597 2.39326686369 y[1] (closed_form) = 0.31950941771 2.39330109336 absolute error = 0.0002511 relative error = 0.0104 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 39.9 Order of pole (three term test) = 55.84 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5794 2.284 h = 0.0001 0.005 y[1] (numeric) = 0.328489060384 2.40701932546 y[1] (closed_form) = 0.328766475896 2.40705373685 absolute error = 0.0002795 relative error = 0.01151 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 17.96 Order of pole (three term test) = 56.1 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5793 2.289 h = 0.0001 0.003 y[1] (numeric) = 0.330368615018 2.41930805811 y[1] (closed_form) = 0.330627612541 2.41933920767 absolute error = 0.0002609 relative error = 0.01068 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 14.6 Order of pole (three term test) = 56.34 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5792 2.292 h = 0.001 0.001 y[1] (numeric) = 0.331590730734 2.42670242382 y[1] (closed_form) = 0.331848490692 2.4267263288 absolute error = 0.0002589 relative error = 0.01057 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 11.53 Order of pole (three term test) = 56.48 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5782 2.293 h = 0.001 0.003 y[1] (numeric) = 0.334396926669 2.42885710395 y[1] (closed_form) = 0.334652867047 2.42887766882 absolute error = 0.0002568 relative error = 0.01047 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 54.84 Order of pole (three term test) = 56.53 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5772 2.296 h = 0.0001 0.004 y[1] (numeric) = 0.337864724182 2.43596767948 y[1] (closed_form) = 0.338124106763 2.4359952035 absolute error = 0.0002608 relative error = 0.01061 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.22 Order of pole (three term test) = 56.66 0 NO COMPLEX POLE (six term test) for Equation 1 memory used=1256.3MB, alloc=52.3MB, time=14.77 x[1] = -4.5771 2.3 h = 0.003 0.006 y[1] (numeric) = 0.339445934886 2.44589178955 y[1] (closed_form) = 0.33970173944 2.44592490148 absolute error = 0.0002579 relative error = 0.01045 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 41.69 Order of pole (three term test) = 56.86 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5741 2.306 h = 0.0001 0.005 y[1] (numeric) = 0.348949828331 2.45989342587 y[1] (closed_form) = 0.349234910266 2.45992656894 absolute error = 0.000287 relative error = 0.01155 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 18.76 Order of pole (three term test) = 57.13 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.574 2.311 h = 0.0001 0.003 y[1] (numeric) = 0.350937043877 2.47243944172 y[1] (closed_form) = 0.351203272113 2.4724693484 absolute error = 0.0002679 relative error = 0.01073 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 15.26 Order of pole (three term test) = 57.38 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5739 2.314 h = 0.001 0.001 y[1] (numeric) = 0.352225920442 2.47998815626 y[1] (closed_form) = 0.352490843885 2.48001066063 absolute error = 0.0002659 relative error = 0.01061 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.05 Order of pole (three term test) = 57.53 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5729 2.315 h = 0.001 0.003 y[1] (numeric) = 0.355104916828 2.48217451193 y[1] (closed_form) = 0.355367961352 2.48219361021 absolute error = 0.0002637 relative error = 0.01052 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 57.3 Order of pole (three term test) = 57.57 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5719 2.318 h = 0.0001 0.004 y[1] (numeric) = 0.358686841694 2.48942107147 y[1] (closed_form) = 0.358953444124 2.48944726824 absolute error = 0.0002679 relative error = 0.01065 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 32.62 Order of pole (three term test) = 57.72 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5718 2.322 h = 0.003 0.006 y[1] (numeric) = 0.360356398568 2.49955270725 y[1] (closed_form) = 0.360619371964 2.49958463804 absolute error = 0.0002649 relative error = 0.01049 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 43.57 Order of pole (three term test) = 57.92 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5688 2.328 h = 0.0001 0.005 y[1] (numeric) = 0.370143352142 2.5138076853 y[1] (closed_form) = 0.370436267257 2.51383948984 absolute error = 0.0002946 relative error = 0.0116 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 19.61 Order of pole (three term test) = 58.21 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5687 2.333 h = 0.0001 0.003 y[1] (numeric) = 0.37224206057 2.5266162409 y[1] (closed_form) = 0.372515676924 2.52664483742 absolute error = 0.0002751 relative error = 0.01077 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 15.95 Order of pole (three term test) = 58.47 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5686 2.336 h = 0.001 0.001 y[1] (numeric) = 0.373600046107 2.53432244533 y[1] (closed_form) = 0.373872288119 2.53434347872 absolute error = 0.0002731 relative error = 0.01066 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.59 Order of pole (three term test) = 58.62 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5676 2.337 h = 0.0001 0.004 y[1] (numeric) = 0.376553665442 2.53654080192 y[1] (closed_form) = 0.376823967545 2.53655836213 absolute error = 0.0002709 relative error = 0.01056 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 75.77 Order of pole (three term test) = 58.67 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5675 2.341 h = 0.003 0.006 y[1] (numeric) = 0.378297455121 2.54684543538 y[1] (closed_form) = 0.378565852381 2.54687897868 absolute error = 0.0002705 relative error = 0.0105 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 45.26 Order of pole (three term test) = 58.88 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5645 2.347 h = 0.0001 0.005 y[1] (numeric) = 0.388331199323 2.56132535478 y[1] (closed_form) = 0.388630123028 2.56135863886 absolute error = 0.0003008 relative error = 0.01161 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 20.37 Order of pole (three term test) = 59.18 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5644 2.352 h = 0.0001 0.003 y[1] (numeric) = 0.390525816804 2.57436556897 y[1] (closed_form) = 0.390805050629 2.5743956664 absolute error = 0.0002809 relative error = 0.01079 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 16.56 Order of pole (three term test) = 59.45 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5643 2.355 h = 0.001 0.001 y[1] (numeric) = 0.391943293436 2.58221075575 y[1] (closed_form) = 0.392221093109 2.58223314827 absolute error = 0.0002787 relative error = 0.01067 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 13.08 Order of pole (three term test) = 59.61 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5633 2.356 h = 0.001 0.003 y[1] (numeric) = 0.394962250358 2.58445783529 y[1] (closed_form) = 0.395238057085 2.58447669523 absolute error = 0.0002765 relative error = 0.01057 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 62.2 Order of pole (three term test) = 59.66 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5623 2.359 h = 0.0001 0.004 y[1] (numeric) = 0.398763759735 2.59196548118 y[1] (closed_form) = 0.399043346729 2.59199170679 absolute error = 0.0002808 relative error = 0.01071 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 35.41 Order of pole (three term test) = 59.81 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5622 2.363 h = 0.003 0.006 y[1] (numeric) = 0.400603500132 2.60249573117 y[1] (closed_form) = 0.400879360504 2.60252797134 absolute error = 0.0002777 relative error = 0.01055 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 47.29 Order of pole (three term test) = 60.03 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5592 2.369 h = 0.0001 0.005 y[1] (numeric) = 0.410934896606 2.61723697416 y[1] (closed_form) = 0.411241973412 2.61726878459 absolute error = 0.0003087 relative error = 0.01165 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 21.28 Order of pole (three term test) = 60.34 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5591 2.374 h = 0.0001 0.003 y[1] (numeric) = 0.41324837267 2.63054980872 y[1] (closed_form) = 0.413535296573 2.63057846651 absolute error = 0.0002884 relative error = 0.01083 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 17.31 Order of pole (three term test) = 60.62 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.559 2.377 h = 0.001 0.001 y[1] (numeric) = 0.41473947161 2.63855850895 y[1] (closed_form) = 0.415024887343 2.63857929512 absolute error = 0.0002862 relative error = 0.01071 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 13.67 Order of pole (three term test) = 60.79 0 NO COMPLEX POLE (six term test) for Equation 1 memory used=1300.2MB, alloc=52.3MB, time=15.28 x[1] = -4.558 2.378 h = 0.001 0.003 y[1] (numeric) = 0.417836550051 2.64083821004 y[1] (closed_form) = 0.418119908674 2.6408553944 absolute error = 0.0002839 relative error = 0.01062 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 65 Order of pole (three term test) = 60.84 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.557 2.381 h = 0.0001 0.004 y[1] (numeric) = 0.421761893091 2.64848903917 y[1] (closed_form) = 0.422049157266 2.64851373556 absolute error = 0.0002883 relative error = 0.01075 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 37 Order of pole (three term test) = 61 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5569 2.385 h = 0.003 0.006 y[1] (numeric) = 0.423699108678 2.65923915646 y[1] (closed_form) = 0.423982594303 2.65927002364 absolute error = 0.0002852 relative error = 0.01059 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 49.42 Order of pole (three term test) = 61.24 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5539 2.391 h = 0.0001 0.005 y[1] (numeric) = 0.434336305662 2.67424603444 y[1] (closed_form) = 0.434651711843 2.67427629389 absolute error = 0.0003169 relative error = 0.01169 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.24 Order of pole (three term test) = 61.56 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5538 2.396 h = 0.0001 0.003 y[1] (numeric) = 0.436772799865 2.68783701946 y[1] (closed_form) = 0.437067580194 2.68786416353 absolute error = 0.000296 relative error = 0.01087 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 18.09 Order of pole (three term test) = 61.85 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5537 2.399 h = 0.001 0.001 y[1] (numeric) = 0.438340068709 2.69601253673 y[1] (closed_form) = 0.43863326433 2.69603163924 absolute error = 0.0002938 relative error = 0.01076 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 14.28 Order of pole (three term test) = 62.03 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5527 2.4 h = 0.001 0.003 y[1] (numeric) = 0.441517212365 2.69832517645 y[1] (closed_form) = 0.441808284932 2.69834060676 absolute error = 0.0002915 relative error = 0.01066 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 67.92 Order of pole (three term test) = 62.08 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5517 2.403 h = 0.0001 0.004 y[1] (numeric) = 0.44556996303 2.70612176154 y[1] (closed_form) = 0.445865069966 2.70614485276 absolute error = 0.000296 relative error = 0.01079 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 38.67 Order of pole (three term test) = 62.25 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5516 2.407 h = 0.003 0.006 y[1] (numeric) = 0.447608044146 2.71709619557 y[1] (closed_form) = 0.447899320321 2.7171256175 absolute error = 0.0002928 relative error = 0.01063 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 51.64 Order of pole (three term test) = 62.49 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5486 2.413 h = 0.0001 0.005 y[1] (numeric) = 0.458559391251 2.73237306974 y[1] (closed_form) = 0.458883306514 2.73240169822 absolute error = 0.0003252 relative error = 0.01174 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.24 Order of pole (three term test) = 62.83 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5485 2.418 h = 0.0001 0.003 y[1] (numeric) = 0.461123184104 2.74624783343 y[1] (closed_form) = 0.461425990438 2.74627338718 absolute error = 0.0003039 relative error = 0.01091 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 18.9 Order of pole (three term test) = 63.14 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5484 2.421 h = 0.001 0.001 y[1] (numeric) = 0.462769244082 2.75459352963 y[1] (closed_form) = 0.46307038657 2.75461086858 absolute error = 0.0003016 relative error = 0.0108 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 14.93 Order of pole (three term test) = 63.32 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5474 2.422 h = 0.001 0.003 y[1] (numeric) = 0.466028440834 2.75693942139 y[1] (closed_form) = 0.4663273925 2.75695301657 absolute error = 0.0002993 relative error = 0.0107 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 70.98 Order of pole (three term test) = 63.37 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5464 2.425 h = 0.0001 0.004 y[1] (numeric) = 0.470212265166 2.76488437191 y[1] (closed_form) = 0.470515383646 2.76490577943 absolute error = 0.0003039 relative error = 0.01083 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 40.41 Order of pole (three term test) = 63.55 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5463 2.429 h = 0.003 0.006 y[1] (numeric) = 0.472354700451 2.77608765086 y[1] (closed_form) = 0.472653935688 2.77611555279 absolute error = 0.0003005 relative error = 0.01067 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 53.97 Order of pole (three term test) = 63.8 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5433 2.435 h = 0.0001 0.005 y[1] (numeric) = 0.483628753483 2.79163893224 y[1] (closed_form) = 0.483961361037 2.79166584704 absolute error = 0.0003337 relative error = 0.01178 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.29 Order of pole (three term test) = 64.15 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5432 2.44 h = 0.0001 0.003 y[1] (numeric) = 0.486324249719 2.80580320249 y[1] (closed_form) = 0.486635254925 2.80582708673 absolute error = 0.0003119 relative error = 0.01095 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 19.75 Order of pole (three term test) = 64.48 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5431 2.443 h = 0.001 0.001 y[1] (numeric) = 0.488051797671 2.81432249872 y[1] (closed_form) = 0.488361057219 2.81433799156 absolute error = 0.0003096 relative error = 0.01084 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 15.6 Order of pole (three term test) = 64.67 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5421 2.444 h = 0.0001 0.004 y[1] (numeric) = 0.491395080564 2.81670195198 y[1] (closed_form) = 0.491702079651 2.81671362828 absolute error = 0.0003072 relative error = 0.01074 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 93.85 Order of pole (three term test) = 64.72 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.542 2.448 h = 0.003 0.006 y[1] (numeric) = 0.493625151114 2.8280959702 y[1] (closed_form) = 0.493930478617 2.82812551567 absolute error = 0.0003068 relative error = 0.01068 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 56.06 Order of pole (three term test) = 64.99 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.539 2.454 h = 0.0001 0.005 y[1] (numeric) = 0.505180649811 2.84389100914 y[1] (closed_form) = 0.505519995199 2.84391940316 absolute error = 0.0003405 relative error = 0.01179 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.23 Order of pole (three term test) = 65.35 0 NO COMPLEX POLE (six term test) for Equation 1 memory used=1344.0MB, alloc=52.3MB, time=15.80 x[1] = -4.5389 2.459 h = 0.0001 0.003 y[1] (numeric) = 0.507989593096 2.85831078364 y[1] (closed_form) = 0.508306902387 2.858336182 absolute error = 0.0003183 relative error = 0.01096 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 20.52 Order of pole (three term test) = 65.68 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5388 2.462 h = 0.001 0.001 y[1] (numeric) = 0.509787377464 2.86698331026 y[1] (closed_form) = 0.510102870634 2.86700016146 absolute error = 0.0003159 relative error = 0.01085 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 16.2 Order of pole (three term test) = 65.89 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5378 2.463 h = 0.001 0.003 y[1] (numeric) = 0.513204297413 2.86939293209 y[1] (closed_form) = 0.513517469529 2.86940590229 absolute error = 0.0003134 relative error = 0.01075 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 77.04 Order of pole (three term test) = 65.94 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5368 2.466 h = 0.0001 0.004 y[1] (numeric) = 0.517640259038 2.87762269737 y[1] (closed_form) = 0.517957852516 2.87764377029 absolute error = 0.0003183 relative error = 0.01089 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 43.86 Order of pole (three term test) = 66.13 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5367 2.47 h = 0.003 0.006 y[1] (numeric) = 0.519983648885 2.88926547611 y[1] (closed_form) = 0.520297258737 2.88929335777 absolute error = 0.0003148 relative error = 0.01072 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 58.58 Order of pole (three term test) = 66.41 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5337 2.476 h = 0.0001 0.005 y[1] (numeric) = 0.531878285686 2.90534337077 y[1] (closed_form) = 0.532226674871 2.90536989194 absolute error = 0.0003494 relative error = 0.01183 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.36 Order of pole (three term test) = 66.79 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5336 2.481 h = 0.0001 0.003 y[1] (numeric) = 0.534827399556 2.92006363702 y[1] (closed_form) = 0.535153239363 2.92008721348 absolute error = 0.0003267 relative error = 0.011 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 21.44 Order of pole (three term test) = 67.14 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5335 2.484 h = 0.001 0.001 y[1] (numeric) = 0.536711855852 2.92891632469 y[1] (closed_form) = 0.53703579258 2.92893117095 absolute error = 0.0003243 relative error = 0.01089 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 16.93 Order of pole (three term test) = 67.35 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5325 2.485 h = 0.001 0.003 y[1] (numeric) = 0.540216765052 2.9313600976 y[1] (closed_form) = 0.540538307488 2.93137098781 absolute error = 0.0003217 relative error = 0.01079 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 80.51 Order of pole (three term test) = 67.41 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5315 2.488 h = 0.0001 0.004 y[1] (numeric) = 0.54479478457 2.93974594681 y[1] (closed_form) = 0.545120891689 2.93976509872 absolute error = 0.0003267 relative error = 0.01093 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 45.83 Order of pole (three term test) = 67.61 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5314 2.492 h = 0.003 0.006 y[1] (numeric) = 0.547253018372 2.95163101637 y[1] (closed_form) = 0.547575088643 2.95165715202 absolute error = 0.0003231 relative error = 0.01076 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 61.22 Order of pole (three term test) = 67.89 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5284 2.498 h = 0.0001 0.005 y[1] (numeric) = 0.559495965961 2.96799632299 y[1] (closed_form) = 0.559853592555 2.96802088038 absolute error = 0.0003585 relative error = 0.01187 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.55 Order of pole (three term test) = 68.29 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5283 2.503 h = 0.0001 0.003 y[1] (numeric) = 0.562590028012 2.98302310449 y[1] (closed_form) = 0.562924580978 2.98304477205 absolute error = 0.0003353 relative error = 0.01104 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.4 Order of pole (three term test) = 68.65 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5282 2.506 h = 0.001 0.001 y[1] (numeric) = 0.564564080005 2.99205954987 y[1] (closed_form) = 0.564896640033 2.99207230064 absolute error = 0.0003328 relative error = 0.01093 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 17.69 Order of pole (three term test) = 68.87 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5272 2.507 h = 0.001 0.003 y[1] (numeric) = 0.568159146355 2.99453777064 y[1] (closed_form) = 0.568489236837 2.99454648905 absolute error = 0.0003302 relative error = 0.01083 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 84.13 Order of pole (three term test) = 68.94 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5262 2.51 h = 0.0001 0.004 y[1] (numeric) = 0.572883266719 3.0030824594 y[1] (closed_form) = 0.573218069213 3.00309960121 absolute error = 0.0003352 relative error = 0.01097 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 47.89 Order of pole (three term test) = 69.15 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5261 2.514 h = 0.003 0.006 y[1] (numeric) = 0.575460237048 3.01521466515 y[1] (closed_form) = 0.575790949262 3.01523896981 absolute error = 0.0003316 relative error = 0.0108 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 63.97 Order of pole (three term test) = 69.44 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5231 2.52 h = 0.0001 0.005 y[1] (numeric) = 0.588060893946 3.03187198976 y[1] (closed_form) = 0.588427955314 3.03189448939 absolute error = 0.0003678 relative error = 0.01191 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.79 Order of pole (three term test) = 69.86 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.523 2.525 h = 0.0001 0.003 y[1] (numeric) = 0.591304819342 3.04721141599 y[1] (closed_form) = 0.59164827164 3.04723108473 absolute error = 0.000344 relative error = 0.01108 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.41 Order of pole (three term test) = 70.24 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5229 2.528 h = 0.001 0.001 y[1] (numeric) = 0.593371474507 3.05643527861 y[1] (closed_form) = 0.593712841017 3.05644584038 absolute error = 0.0003415 relative error = 0.01097 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 18.49 Order of pole (three term test) = 70.47 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5219 2.529 h = 0.001 0.003 y[1] (numeric) = 0.597058915044 3.05894823868 y[1] (closed_form) = 0.597397734691 3.05895469052 absolute error = 0.0003389 relative error = 0.01087 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 87.92 Order of pole (three term test) = 70.53 0 NO COMPLEX POLE (six term test) for Equation 1 memory used=1388.0MB, alloc=52.3MB, time=16.31 x[1] = -4.5209 2.532 h = 0.0001 0.004 y[1] (numeric) = 0.601933282861 3.06765456096 y[1] (closed_form) = 0.602276965961 3.06766960063 absolute error = 0.000344 relative error = 0.011 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 50.05 Order of pole (three term test) = 70.75 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5208 2.536 h = 0.003 0.006 y[1] (numeric) = 0.604632994063 3.08003883325 y[1] (closed_form) = 0.604972533255 3.08006121912 absolute error = 0.0003403 relative error = 0.01084 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 66.85 Order of pole (three term test) = 71.06 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5178 2.542 h = 0.0001 0.005 y[1] (numeric) = 0.617600989978 3.09699283162 y[1] (closed_form) = 0.617977687308 3.09701317637 absolute error = 0.0003772 relative error = 0.01195 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.08 Order of pole (three term test) = 71.5 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5177 2.547 h = 0.0001 0.003 y[1] (numeric) = 0.620999835125 3.11265113963 y[1] (closed_form) = 0.621352376518 3.11266871664 absolute error = 0.000353 relative error = 0.01112 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.46 Order of pole (three term test) = 71.9 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5176 2.55 h = 0.001 0.001 y[1] (numeric) = 0.623162186865 3.12206614287 y[1] (closed_form) = 0.623512546547 3.12207441907 absolute error = 0.0003505 relative error = 0.01101 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 19.32 Order of pole (three term test) = 72.14 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5166 2.551 h = 0.0001 0.004 y[1] (numeric) = 0.626944268846 3.12461412798 y[1] (closed_form) = 0.627292002224 3.12461821541 absolute error = 0.0003478 relative error = 0.01091 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 116.2 Order of pole (three term test) = 72.2 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5165 2.555 h = 0.003 0.006 y[1] (numeric) = 0.629747007498 3.13720846316 y[1] (closed_form) = 0.630093382177 3.13723250808 absolute error = 0.0003472 relative error = 0.01085 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 69.44 Order of pole (three term test) = 72.53 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5135 2.561 h = 0.0001 0.005 y[1] (numeric) = 0.643035477994 3.15442613072 y[1] (closed_form) = 0.643419723297 3.15444793355 absolute error = 0.0003849 relative error = 0.01195 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.25 Order of pole (three term test) = 72.98 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5134 2.566 h = 0.0001 0.003 y[1] (numeric) = 0.64656793089 3.17036592943 y[1] (closed_form) = 0.646927539381 3.17038501567 absolute error = 0.0003601 relative error = 0.01113 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.41 Order of pole (three term test) = 73.39 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5133 2.569 h = 0.001 0.001 y[1] (numeric) = 0.648812861026 3.17994968293 y[1] (closed_form) = 0.649170205077 3.17995929733 absolute error = 0.0003575 relative error = 0.01101 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 20.07 Order of pole (three term test) = 73.64 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5123 2.57 h = 0.001 0.003 y[1] (numeric) = 0.652677840179 3.18252920567 y[1] (closed_form) = 0.65303248877 3.1825345614 absolute error = 0.0003547 relative error = 0.01092 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 95.43 Order of pole (three term test) = 73.71 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5113 2.573 h = 0.0001 0.004 y[1] (numeric) = 0.657841179692 3.19154577045 y[1] (closed_form) = 0.658200982813 3.19156002934 absolute error = 0.0003601 relative error = 0.01105 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 54.33 Order of pole (three term test) = 73.95 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5112 2.577 h = 0.003 0.006 y[1] (numeric) = 0.660777190679 3.20441407876 y[1] (closed_form) = 0.661132747344 3.20443603592 absolute error = 0.0003562 relative error = 0.01089 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 72.56 Order of pole (three term test) = 74.28 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5082 2.583 h = 0.0001 0.005 y[1] (numeric) = 0.674451496154 3.22193733669 y[1] (closed_form) = 0.67484576344 3.22195679778 absolute error = 0.0003947 relative error = 0.01199 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 32.65 Order of pole (three term test) = 74.75 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5081 2.588 h = 0.0001 0.003 y[1] (numeric) = 0.678148589055 3.23820797933 y[1] (closed_form) = 0.678517650721 3.2382247951 absolute error = 0.0003694 relative error = 0.01117 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.55 Order of pole (three term test) = 75.19 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.508 2.591 h = 0.001 0.001 y[1] (numeric) = 0.680495162223 3.24799001449 y[1] (closed_form) = 0.680861857611 3.24799715753 absolute error = 0.0003668 relative error = 0.01105 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 20.97 Order of pole (three term test) = 75.45 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.507 2.592 h = 0.001 0.003 y[1] (numeric) = 0.684459135867 3.25060510587 y[1] (closed_form) = 0.684823052281 3.25060790895 absolute error = 0.0003639 relative error = 0.01096 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 99.72 Order of pole (three term test) = 75.52 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.506 2.595 h = 0.0001 0.004 y[1] (numeric) = 0.689785145864 3.2597915653 y[1] (closed_form) = 0.690154380584 3.25980344409 absolute error = 0.0003694 relative error = 0.01109 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 56.77 Order of pole (three term test) = 75.77 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5059 2.599 h = 0.003 0.006 y[1] (numeric) = 0.692855935134 3.2729265783 y[1] (closed_form) = 0.693220869264 3.2729463513 absolute error = 0.0003655 relative error = 0.01092 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 75.82 Order of pole (three term test) = 76.12 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5029 2.605 h = 0.0001 0.005 y[1] (numeric) = 0.706926396751 3.29076022677 y[1] (closed_form) = 0.707330898564 3.29077723955 absolute error = 0.0004049 relative error = 0.01203 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 34.12 Order of pole (three term test) = 76.61 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5028 2.61 h = 0.0001 0.003 y[1] (numeric) = 0.710793609848 3.30736826927 y[1] (closed_form) = 0.711172325126 3.30738271268 absolute error = 0.000379 relative error = 0.0112 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.75 Order of pole (three term test) = 77.06 0 NO COMPLEX POLE (six term test) for Equation 1 memory used=1431.7MB, alloc=52.3MB, time=16.83 x[1] = -4.5027 2.613 h = 0.001 0.001 y[1] (numeric) = 0.713245177247 3.31735249866 y[1] (closed_form) = 0.713621421074 3.3173570646 absolute error = 0.0003763 relative error = 0.01109 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 21.91 Order of pole (three term test) = 77.34 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5017 2.614 h = 0.001 0.003 y[1] (numeric) = 0.717310562534 3.3200034265 y[1] (closed_form) = 0.717683941594 3.32000356985 absolute error = 0.0003734 relative error = 0.01099 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 104.2 Order of pole (three term test) = 77.41 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5007 2.617 h = 0.0001 0.004 y[1] (numeric) = 0.722803813709 3.32936272678 y[1] (closed_form) = 0.723182679392 3.32937212128 absolute error = 0.000379 relative error = 0.01112 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 59.32 Order of pole (three term test) = 77.67 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.5006 2.621 h = 0.003 0.006 y[1] (numeric) = 0.726013844623 3.34276971685 y[1] (closed_form) = 0.726388355463 3.34278720612 absolute error = 0.0003749 relative error = 0.01096 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 79.23 Order of pole (three term test) = 78.04 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4976 2.627 h = 0.0001 0.005 y[1] (numeric) = 0.740491036548 3.36091860514 y[1] (closed_form) = 0.740905989529 3.36093305956 absolute error = 0.0004152 relative error = 0.01206 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 35.66 Order of pole (three term test) = 78.56 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4975 2.632 h = 0.0001 0.003 y[1] (numeric) = 0.744534006281 3.37787071758 y[1] (closed_form) = 0.744922579456 3.37788268341 absolute error = 0.0003888 relative error = 0.01124 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29 Order of pole (three term test) = 79.03 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4974 2.635 h = 0.001 0.001 y[1] (numeric) = 0.747094014136 3.3880611215 y[1] (closed_form) = 0.747480007257 3.3880630012 absolute error = 0.000386 relative error = 0.01113 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.9 Order of pole (three term test) = 79.31 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4964 2.636 h = 0.001 0.003 y[1] (numeric) = 0.751263282811 3.3907481463 y[1] (closed_form) = 0.751646323035 3.39074551943 absolute error = 0.000383 relative error = 0.01103 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 108.9 Order of pole (three term test) = 79.39 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4954 2.639 h = 0.0001 0.004 y[1] (numeric) = 0.756928462418 3.40028327343 y[1] (closed_form) = 0.757317162239 3.40029007608 absolute error = 0.0003888 relative error = 0.01116 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 61.99 Order of pole (three term test) = 79.66 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4953 2.643 h = 0.003 0.006 y[1] (numeric) = 0.760282325248 3.41396760449 y[1] (closed_form) = 0.760666615877 3.41398270717 absolute error = 0.0003846 relative error = 0.011 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 82.8 Order of pole (three term test) = 80.05 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4923 2.649 h = 0.0001 0.005 y[1] (numeric) = 0.775177080606 3.43243663075 y[1] (closed_form) = 0.775602705566 3.43244841314 absolute error = 0.0004258 relative error = 0.0121 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 37.26 Order of pole (three term test) = 80.59 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4922 2.654 h = 0.0001 0.003 y[1] (numeric) = 0.77940160379 3.44973959909 y[1] (closed_form) = 0.779800243064 3.4497489787 absolute error = 0.0003987 relative error = 0.01127 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.3 Order of pole (three term test) = 81.08 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4921 2.657 h = 0.001 0.001 y[1] (numeric) = 0.782073595851 3.46014022654 y[1] (closed_form) = 0.782469542939 3.46013930736 absolute error = 0.0003959 relative error = 0.01116 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.93 Order of pole (three term test) = 81.38 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4911 2.658 h = 0.0001 0.004 y[1] (numeric) = 0.78634927544 3.46286360102 y[1] (closed_form) = 0.786742179103 3.46285808992 absolute error = 0.0003929 relative error = 0.01107 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 144 Order of pole (three term test) = 81.46 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.491 2.662 h = 0.003 0.006 y[1] (numeric) = 0.789823819595 3.47677902529 y[1] (closed_form) = 0.790215771865 3.47679578309 absolute error = 0.0003923 relative error = 0.011 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 86.01 Order of pole (three term test) = 81.86 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.488 2.668 h = 0.0001 0.005 y[1] (numeric) = 0.805082982926 3.49553272961 y[1] (closed_form) = 0.805517055534 3.49554592341 absolute error = 0.0004343 relative error = 0.01211 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 38.71 Order of pole (three term test) = 82.42 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4879 2.673 h = 0.0001 0.003 y[1] (numeric) = 0.809464257185 3.51314548648 y[1] (closed_form) = 0.809870811188 3.51315634809 absolute error = 0.0004067 relative error = 0.01128 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.48 Order of pole (three term test) = 82.93 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4878 2.676 h = 0.001 0.001 y[1] (numeric) = 0.812232984491 3.52373175614 y[1] (closed_form) = 0.812636749485 3.52373213125 absolute error = 0.0004038 relative error = 0.01117 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.86 Order of pole (three term test) = 83.24 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4868 2.677 h = 0.001 0.003 y[1] (numeric) = 0.816601889564 3.5264879249 y[1] (closed_form) = 0.817002532284 3.52648363241 absolute error = 0.0004007 relative error = 0.01107 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 118.2 Order of pole (three term test) = 83.33 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4858 2.68 h = 0.0001 0.004 y[1] (numeric) = 0.822597693939 3.53636049498 y[1] (closed_form) = 0.823004328728 3.53636597411 absolute error = 0.0004067 relative error = 0.0112 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 67.29 Order of pole (three term test) = 83.62 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4857 2.684 h = 0.003 0.006 y[1] (numeric) = 0.82622840137 3.55057733697 y[1] (closed_form) = 0.826630523071 3.5505915103 absolute error = 0.0004024 relative error = 0.01104 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 89.87 Order of pole (three term test) = 84.04 0 NO COMPLEX POLE (six term test) for Equation 1 memory used=1475.5MB, alloc=52.3MB, time=17.34 x[1] = -4.4827 2.69 h = 0.0001 0.005 y[1] (numeric) = 0.841925936494 3.56966055922 y[1] (closed_form) = 0.842371104764 3.5696708623 absolute error = 0.0004453 relative error = 0.01214 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 40.45 Order of pole (three term test) = 84.62 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4826 2.695 h = 0.0001 0.003 y[1] (numeric) = 0.846499907942 3.58763718725 y[1] (closed_form) = 0.846916927517 3.5876452536 absolute error = 0.0004171 relative error = 0.01131 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 32.89 Order of pole (three term test) = 85.16 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4825 2.698 h = 0.001 0.001 y[1] (numeric) = 0.849387431708 3.59844144612 y[1] (closed_form) = 0.849801543357 3.59843880564 absolute error = 0.0004141 relative error = 0.0112 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.97 Order of pole (three term test) = 85.48 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4815 2.699 h = 0.001 0.003 y[1] (numeric) = 0.853867600694 3.60123444426 y[1] (closed_form) = 0.854278494932 3.6012270482 absolute error = 0.000411 relative error = 0.0111 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 123.5 Order of pole (three term test) = 85.57 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4805 2.702 h = 0.0001 0.004 y[1] (numeric) = 0.860049374742 3.61129166631 y[1] (closed_form) = 0.860466447993 3.61129422895 absolute error = 0.0004171 relative error = 0.01123 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 70.32 Order of pole (three term test) = 85.88 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4804 2.706 h = 0.003 0.006 y[1] (numeric) = 0.863837709225 3.62580177205 y[1] (closed_form) = 0.864250214828 3.6258132482 absolute error = 0.0004127 relative error = 0.01107 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 93.92 Order of pole (three term test) = 86.32 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4774 2.712 h = 0.0001 0.005 y[1] (numeric) = 0.879985223552 3.64521955177 y[1] (closed_form) = 0.880441720677 3.64522683961 absolute error = 0.0004566 relative error = 0.01217 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 42.27 Order of pole (three term test) = 86.93 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4773 2.717 h = 0.0001 0.003 y[1] (numeric) = 0.884758170033 3.66356718017 y[1] (closed_form) = 0.885185875021 3.66357233231 absolute error = 0.0004277 relative error = 0.01135 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 34.37 Order of pole (three term test) = 87.49 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4772 2.72 h = 0.001 0.001 y[1] (numeric) = 0.887768326493 3.67459368074 y[1] (closed_form) = 0.888193000812 3.67458790151 absolute error = 0.0004247 relative error = 0.01123 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.14 Order of pole (three term test) = 87.83 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4762 2.721 h = 0.001 0.003 y[1] (numeric) = 0.892362453378 3.67742373679 y[1] (closed_form) = 0.892783812575 3.6774131126 absolute error = 0.0004215 relative error = 0.01114 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 129.1 Order of pole (three term test) = 87.92 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4752 2.724 h = 0.0001 0.004 y[1] (numeric) = 0.898735361036 3.68766875442 y[1] (closed_form) = 0.899163091327 3.6876682791 absolute error = 0.0004277 relative error = 0.01127 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 73.48 Order of pole (three term test) = 88.24 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4751 2.728 h = 0.003 0.006 y[1] (numeric) = 0.902686433771 3.70247785589 y[1] (closed_form) = 0.903109541853 3.70248651853 absolute error = 0.0004232 relative error = 0.0111 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 98.14 Order of pole (three term test) = 88.7 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4721 2.734 h = 0.0001 0.005 y[1] (numeric) = 0.919295817891 3.72223528022 y[1] (closed_form) = 0.919763881529 3.7222394243 absolute error = 0.0004681 relative error = 0.01221 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 44.17 Order of pole (three term test) = 89.34 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.472 2.739 h = 0.0001 0.003 y[1] (numeric) = 0.924274194494 3.74096116096 y[1] (closed_form) = 0.924712808924 3.7409632761 absolute error = 0.0004386 relative error = 0.01138 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 35.92 Order of pole (three term test) = 89.92 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4719 2.742 h = 0.001 0.001 y[1] (numeric) = 0.927410927621 3.75221422844 y[1] (closed_form) = 0.927846384711 3.75220518339 absolute error = 0.0004356 relative error = 0.01127 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.36 Order of pole (three term test) = 90.28 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4709 2.743 h = 0.001 0.003 y[1] (numeric) = 0.932121766993 3.75508156125 y[1] (closed_form) = 0.932553808607 3.75506758043 absolute error = 0.0004323 relative error = 0.01117 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 134.9 Order of pole (three term test) = 90.38 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4699 2.746 h = 0.0001 0.004 y[1] (numeric) = 0.938691103132 3.76551755913 y[1] (closed_form) = 0.939129713195 3.7655139205 absolute error = 0.0004386 relative error = 0.0113 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 76.79 Order of pole (three term test) = 90.71 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4698 2.75 h = 0.003 0.006 y[1] (numeric) = 0.942810169249 3.78063148668 y[1] (closed_form) = 0.943244102564 3.78063721569 absolute error = 0.000434 relative error = 0.01114 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 102.6 Order of pole (three term test) = 91.19 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4668 2.756 h = 0.0001 0.005 y[1] (numeric) = 0.959893603541 3.80073368985 y[1] (closed_form) = 0.960373475887 3.80073455754 absolute error = 0.0004799 relative error = 0.01224 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 46.15 Order of pole (three term test) = 91.86 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4667 2.761 h = 0.0001 0.003 y[1] (numeric) = 0.965084047228 3.81984519945 y[1] (closed_form) = 0.965533799397 3.81984415088 absolute error = 0.0004498 relative error = 0.01142 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 37.53 Order of pole (three term test) = 92.47 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4666 2.764 h = 0.001 0.001 y[1] (numeric) = 0.968351411544 3.83132923283 y[1] (closed_form) = 0.968797875659 3.83131679092 absolute error = 0.0004466 relative error = 0.0113 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.64 Order of pole (three term test) = 92.84 0 NO COMPLEX POLE (six term test) for Equation 1 memory used=1519.4MB, alloc=52.3MB, time=17.86 x[1] = -4.4656 2.765 h = 0.0001 0.004 y[1] (numeric) = 0.973181779895 3.83423405103 y[1] (closed_form) = 0.973624725473 3.83421658107 absolute error = 0.0004433 relative error = 0.01121 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 178.3 Order of pole (three term test) = 92.94 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4655 2.769 h = 0.003 0.006 y[1] (numeric) = 0.97744174864 3.84960193956 y[1] (closed_form) = 0.97788426159 3.84960929575 absolute error = 0.0004426 relative error = 0.01114 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 106.5 Order of pole (three term test) = 93.44 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4625 2.775 h = 0.0001 0.005 y[1] (numeric) = 0.994939018372 3.87001091372 y[1] (closed_form) = 0.99542833704 3.87001311523 absolute error = 0.0004893 relative error = 0.01225 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 47.94 Order of pole (three term test) = 94.13 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4624 2.78 h = 0.0001 0.003 y[1] (numeric) = 1.00031274387 3.8894630003 y[1] (closed_form) = 1.00077135203 3.88946337927 absolute error = 0.0004586 relative error = 0.01142 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 38.99 Order of pole (three term test) = 94.77 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4623 2.783 h = 0.001 0.001 y[1] (numeric) = 1.00369306047 3.90115104505 y[1] (closed_form) = 1.00414826759 3.9011398248 absolute error = 0.0004553 relative error = 0.0113 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.79 Order of pole (three term test) = 95.15 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4613 2.784 h = 0.001 0.003 y[1] (numeric) = 1.00862816929 3.90408975893 y[1] (closed_form) = 1.00907976806 3.90407342875 absolute error = 0.0004519 relative error = 0.01121 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 146.4 Order of pole (three term test) = 95.26 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4603 2.787 h = 0.0001 0.004 y[1] (numeric) = 1.01557520074 3.91489223915 y[1] (closed_form) = 1.01603374729 3.91488662189 absolute error = 0.0004586 relative error = 0.01134 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 83.35 Order of pole (three term test) = 95.63 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4602 2.791 h = 0.003 0.006 y[1] (numeric) = 1.020017559 3.93059139338 y[1] (closed_form) = 1.02047132459 3.93059558487 absolute error = 0.0004538 relative error = 0.01117 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 111.3 Order of pole (three term test) = 96.15 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4572 2.797 h = 0.0001 0.005 y[1] (numeric) = 1.03801227579 3.95135497731 y[1] (closed_form) = 1.0385138679 3.95135364721 absolute error = 0.0005016 relative error = 0.01228 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 50.1 Order of pole (three term test) = 96.87 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4571 2.802 h = 0.0001 0.003 y[1] (numeric) = 1.04361082717 3.97120684082 y[1] (closed_form) = 1.0440810111 3.97120381232 absolute error = 0.0004702 relative error = 0.01145 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 40.74 Order of pole (three term test) = 97.53 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.457 2.805 h = 0.001 0.001 y[1] (numeric) = 1.04712956908 3.9831342885 y[1] (closed_form) = 1.04759621349 3.98311941925 absolute error = 0.0004669 relative error = 0.01134 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 32.17 Order of pole (three term test) = 97.94 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.456 2.806 h = 0.001 0.003 y[1] (numeric) = 1.05218961489 3.98611088219 y[1] (closed_form) = 1.05265254269 3.98609080796 absolute error = 0.0004634 relative error = 0.01124 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 153 Order of pole (three term test) = 98.05 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.455 2.809 h = 0.0001 0.004 y[1] (numeric) = 1.05934893425 3.99711375037 y[1] (closed_form) = 1.05981902298 3.99710459167 absolute error = 0.0004702 relative error = 0.01137 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 87.1 Order of pole (three term test) = 98.43 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4549 2.813 h = 0.003 0.006 y[1] (numeric) = 1.06397507487 4.01313503471 y[1] (closed_form) = 1.06444032826 4.0131359301 absolute error = 0.0004653 relative error = 0.01121 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 116.3 Order of pole (three term test) = 98.98 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4519 2.819 h = 0.0001 0.005 y[1] (numeric) = 1.08248028536 4.03425849831 y[1] (closed_form) = 1.08299440659 4.03425349154 absolute error = 0.0005141 relative error = 0.01231 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 52.35 Order of pole (three term test) = 99.73 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4518 2.824 h = 0.0001 0.003 y[1] (numeric) = 1.08831084492 4.05451788397 y[1] (closed_form) = 1.08879284561 4.05451130949 absolute error = 0.000482 relative error = 0.01148 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 42.57 Order of pole (three term test) = 100.4 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4517 2.827 h = 0.001 0.001 y[1] (numeric) = 1.09197239812 4.06668935194 y[1] (closed_form) = 1.09245071641 4.06667069062 absolute error = 0.0004787 relative error = 0.01137 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 33.62 Order of pole (three term test) = 100.8 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4507 2.828 h = 0.001 0.003 y[1] (numeric) = 1.0971603821 4.06970400245 y[1] (closed_form) = 1.0976348726 4.06968003958 absolute error = 0.0004751 relative error = 0.01127 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 159.9 Order of pole (three term test) = 101 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4497 2.831 h = 0.0001 0.004 y[1] (numeric) = 1.10453781953 4.08091060538 y[1] (closed_form) = 1.10501968993 4.08089776394 absolute error = 0.000482 relative error = 0.0114 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 91.01 Order of pole (three term test) = 101.4 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4496 2.835 h = 0.003 0.006 y[1] (numeric) = 1.10935358811 4.09726024538 y[1] (closed_form) = 1.10983056894 4.09725770911 absolute error = 0.000477 relative error = 0.01124 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 121.6 Order of pole (three term test) = 101.9 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4466 2.841 h = 0.0001 0.005 y[1] (numeric) = 1.12838265563 4.11874890359 y[1] (closed_form) = 1.12890956651 4.11874007048 absolute error = 0.000527 relative error = 0.01234 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 54.71 Order of pole (three term test) = 102.7 0 NO COMPLEX POLE (six term test) for Equation 1 memory used=1563.3MB, alloc=52.3MB, time=18.37 x[1] = -4.4465 2.846 h = 0.0001 0.003 y[1] (numeric) = 1.13445260651 4.13942368833 y[1] (closed_form) = 1.13494666947 4.13941342498 absolute error = 0.0004942 relative error = 0.01151 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 44.49 Order of pole (three term test) = 103.5 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4464 2.849 h = 0.001 0.001 y[1] (numeric) = 1.13826147897 4.15184387191 y[1] (closed_form) = 1.13875171217 4.15182127097 absolute error = 0.0004908 relative error = 0.0114 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 35.13 Order of pole (three term test) = 103.9 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4454 2.85 h = 0.001 0.003 y[1] (numeric) = 1.14358046952 4.15489674375 y[1] (closed_form) = 1.14406676078 4.15486874317 absolute error = 0.0004871 relative error = 0.0113 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 167.1 Order of pole (three term test) = 104 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4444 2.853 h = 0.0001 0.004 y[1] (numeric) = 1.15118200214 4.16631047022 y[1] (closed_form) = 1.15167589821 4.16629380034 absolute error = 0.0004942 relative error = 0.01143 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 95.11 Order of pole (three term test) = 104.4 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4443 2.857 h = 0.003 0.006 y[1] (numeric) = 1.15619340734 4.18299479695 y[1] (closed_form) = 1.15668235978 4.18298868912 absolute error = 0.000489 relative error = 0.01127 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 127 Order of pole (three term test) = 105 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4413 2.863 h = 0.0001 0.005 y[1] (numeric) = 1.17576001918 4.20485400901 y[1] (closed_form) = 1.1762999852 4.20484119517 absolute error = 0.0005401 relative error = 0.01237 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 57.17 Order of pole (three term test) = 105.9 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4412 2.868 h = 0.0001 0.003 y[1] (numeric) = 1.18207695054 4.22595220332 y[1] (closed_form) = 1.18258332594 4.22593810371 absolute error = 0.0005066 relative error = 0.01154 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 46.49 Order of pole (three term test) = 106.6 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4411 2.871 h = 0.001 0.001 y[1] (numeric) = 1.18603777543 4.23862587685 y[1] (closed_form) = 1.18654016908 4.23859918418 absolute error = 0.0005031 relative error = 0.01143 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 36.71 Order of pole (three term test) = 107.1 0 NO COMPLEX POLE (six term test) for Equation 1 x[1] = -4.4401 2.872 h = 0.001 0.003 y[1] (numeric) = 1.19149090957 4.24171712141 y[1] (closed_form) = 1.19198924407 4.24168492947 absolute error = 0.0004994 relative error = 0.01133 % Correct digits = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 174.6 Order of pole (three term test) = 107.2 0 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = sin ( x ) / 2.0 ; Iterations = 754 Total Elapsed Time = 18 Seconds Expected Time Remaining = 0 Seconds Optimized Time Remaining = 0 Seconds Expected Total Time = 18 Seconds > quit memory used=1582.8MB, alloc=52.3MB, time=18.59