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D.15.25.17 intRank

Procedure from library multigrading.lib (see multigrading_lib).

Usage:
intRank(A); intmat A

Purpose:
compute the rank of the integral matrix A
by computing a hermite normalform.

Returns:
int

Example:
 
LIB "multigrading.lib";
intmat A[3][4] =
1,0,1,0,
1,2,0,0,
0,0,0,0;
int r = intRank(A);
print(A);
==>      1     0     1     0
==>      1     2     0     0
==>      0     0     0     0
print(r); // Should be 2
==> 2
// another example
intmat B[2][2] =
1,2,
1,2;
int d = intRank(B);
print(B);
==>      1     2
==>      1     2
print(d); // Should be 1
==> 1
kill A, B, r, d;