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7.7.7.0. ivOrdMisLex
Procedure from library fpadim.lib (see fpadim_lib).
- Usage:
- ivOrdMisLex(M); M a list of intvecs
- Return:
- list, containing the ordered intvecs of M
- Purpose:
- Orders a given set of mistletoes lexicographically
- Assume:
- - basering is a Letterplace ring.
- intvecs correspond to monomials, as explained in the overview
- Note:
- - This is preprocessing, it's not needed if the mistletoes are returned
from the sickle algorithm.
- Each entry of the list returned is an intvec.
Example:
| | LIB "fpadim.lib";
ring r = 0,(x,y),dp;
def R = makeLetterplaceRing(5); // constructs a Letterplace ring
setring R; // sets basering to Letterplace ring
intvec i1 = 1,2,1; intvec i2 = 2,2,1; intvec i3 = 1,1; intvec i4 = 2,1,1,1;
// the corresponding monomials are xyx,y^2x,x^2,yx^3
list M = i1,i2,i3,i4;
M;
==> [1]:
==> 1,2,1
==> [2]:
==> 2,2,1
==> [3]:
==> 1,1
==> [4]:
==> 2,1,1,1
ivOrdMisLex(M);// orders the list of monomials
==> [1]:
==> 1,1
==> [2]:
==> 1,2,1
==> [3]:
==> 2,1,1,1
==> [4]:
==> 2,2,1
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