/usr/include/NTL/HNF.h is in libntl-dev 5.5.2-2.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 | #ifndef NTL_HNF__H
#define NTL_HNF__H
#include <NTL/mat_ZZ.h>
NTL_OPEN_NNS
void HNF(mat_ZZ& W, const mat_ZZ& A, const ZZ& D);
// The input matrix A is an n x m matrix of rank m (so n >= m), and
// D is a multiple of the determinant of the lattice L spanned by
// the rows of A.
// W is computed as the Hermite Normal Form of A;
// that is, W is the unique m x m matrix whose rows span L, such that
// - W is lower triangular,
// - the diagonal entries are positive,
// - any entry below the diagonal is a non-negative number
// strictly less than the diagonal entry in its column.
// Currently, this is implemented using the algorithm of
// [P. Domich, R. Kannan and L. Trotter, Math. Oper. Research 12:50-59, 1987].
NTL_CLOSE_NNS
#endif
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