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D.15.13.22 intersectLattices
Procedure from library multigrading.lib (see multigrading_lib).
- Usage:
- intersectLattices(A, B); intmat A, intmat B
- Purpose:
- compute an integral basis for the intersection of the
lattices A and B.
- Returns:
- intmat
Example:
| | LIB "multigrading.lib";
intmat A[3][2] =
1,4,
2,5,
3,6;
intmat B[3][2] =
6,9,
7,10,
8,11;
// should result in a (3x2)-matrix with columns
// e.g. [0, 3, 6], [-3, 0, 3] (the lattice should be the same)
print(intersectLattices(A,B));
==> 3 0
==> 0 3
==> -3 6
// another example
intmat C[2][3] =
1,0,0,
3,2,5;
intmat D[2][3] =
4,5,0,
0,5,0;
// should result in a (3x2)-matrix whose columns generate the
// same lattice as [1,5], [0, 20]
print(intersectLattices(C,D));
==> 1 0
==> 5 20
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