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Topic review - Counting lattice points in the Newton polytope
Author Message
Dmitry
  Post subject:  Re: Counting lattice points in the Newton polytope  Reply with quote
Sorry, I have Singular3.1.5, trying to run the example http://www.singular.uni-kl.de/Manual/3- ... tm#SEC1868

After
LIB "oldpolymake.lib";
ring r=0,(x,y,z),dp;
matrix M[4][1]=1,x,y,z;
poly f=y3+x2+xy+2xz+yz+z2+1;
list np=newtonPolytopeP(f);
I get:
? 'polymakePolytopeP' is not defined......
Post Posted: Sat Sep 22, 2012 8:33 pm
hannes
  Post subject:  Re: Counting lattice points in the Newton polytope  Reply with quote
No, this is not a bug: you mix a library from version 3-1-5 with a command
from version 3-1-1.
The correct usage depends on your version of Singular:
3-1-1 works with newtonPolytope from the library polymake.lib
3-1-5 (the current version) uses newtopPolytopeP for the library oldpolymake.lib
or newtonPolytop from polymake.so
Post Posted: Thu Sep 20, 2012 5:41 pm
Dmitry
  Post subject:  Counting lattice points in the Newton polytope  Reply with quote
1. Is there some standard command to compute the (inner or total) number of lattice points in the Newton polytope of a given polynomial?

2. I tried to list the points as follows:
LIB "oldpolymake.lib";
ring r=0,(x,y,z),dp;
poly f=x^2+y^4+z^4;
list np=newtonPolytope(f);
(according to http://www.singular.uni-kl.de/Manual/3- ... tm#SEC1628)

But this gives the error:
? `newtonPolytope` is not defined
? error occurred in or before STDIN line 11: `list np=newtonPolytope(f);`

Is this a bug?
Post Posted: Tue Sep 18, 2012 8:54 pm


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