Michael Somos on Tue, 14 Nov 2000 19:58:25 -0500 |
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[GP/PARI] 2.0.21 bug in exp()? |
I just ran across a problem which I can't overcome. I downloaded the 2.0.21 and tried the following simple function : excalibur:/home1/faculty/somos> /tmp/local/bin/gp-2.0 Reading GPRC: /home1/faculty/somos/.gprc ...Done. GP/PARI CALCULATOR Version 2.0.21 (beta) i686 running linux (ix86 kernel) 32-bit version (readline v2.2 enabled, extended help not available) Copyright (C) 1989-2000 by C. Batut, K. Belabas, D. Bernardi, H. Cohen and M. Olivier. Type ? for help, \q to quit. Type ?12 for how to get moral (and possibly technical) support. realprecision = 28 significant digits seriesprecision = 16 significant terms format = g0.28 parisize = 4000000, primelimit = 500000 gp> f(x,d=10,v=0)= { local(rc); /*DEB*/ if(v,print("f("x","d")")); rc= if(x<=0, error("only positive allowed in f()"), if(d<0, error("recur depth positive"), if(x==1|d==0, 0, if(x<1, -f(1/x,d-1,v), /*x>1*/ exp(f(x-1,d-1,v)) )))); /*DEB*/ if(v,print("f("x","d")="rc)); rc; } /* end f() */ gp> f(16/5,8,1) f(16/5,8) f(11/5,7) f(6/5,6) f(1/5,5) f(5,4) f(4,3) f(3,2) f(2,1) f(1,0) f(1,0)=0 f(2,1)=1.000000000000000000000000000 f(3,2)=2.718281828459045235360287471 f(4,3)=15.15426224147926418976043027 f(5,4)=3814279.104760220592209219594 f(1/5,5)=-3814279.104760220592209219594 f(6/5,6)=4.289076188000423375581902986 E-1656521 f(11/5,7)=1.000000000000000000000000000 At this point the system seems to hang for a long long time. I can only guess that the bug may be in exp() somehow. Who knows? Shalom, Michael -- Michael Somos <somos@grail.cba.csuohio.edu> Cleveland State University http://grail.cba.csuohio.edu/~somos/ Cleveland, Ohio, USA 44115