#include "interface/mutable-matrix.h"
#include <assert.h>
#include <algorithm>
#include <vector>
#include "LLL.hpp"
#include "aring-zzp-ffpack.hpp"
#include "buffer.hpp"
#include "error.h"
#include "exceptions.hpp"
#include "finalize.hpp"
#include "fractionfreeLU.hpp"
#include "interface/gmp-util.h"
#include "interface/random.h"
#include "mat.hpp"
#include "matrix.hpp"
#include "relem.hpp"
#include "ring.hpp"
#include "ringelem.hpp"
#include "util.hpp"
#include <fplll-interface.hpp>
#include "ntl-interface.hpp"

Go to the source code of this file.

Functions
MutableMatrix *	IM2_MutableMatrix_identity (const Ring *R, int n, M2_bool is_dense)
MutableMatrix *	IM2_MutableMatrix_make (const Ring *R, int nrows, int ncols, M2_bool is_dense)
MutableMatrix *	IM2_MutableMatrix_from_matrix (const Matrix *M, M2_bool is_dense)
const Matrix *	IM2_MutableMatrix_to_matrix (const MutableMatrix *M)
M2_string	IM2_MutableMatrix_to_string (const MutableMatrix *M)
unsigned int	rawMutableMatrixHash (const MutableMatrix *M)
MutableMatrix *	rawMutableMatrixPromote (const Ring S, const MutableMatrix f)
MutableMatrix *	rawMutableMatrixLift (int success_return, const Ring R, const MutableMatrix *f)
int	IM2_MutableMatrix_n_rows (const MutableMatrix *M)
int	IM2_MutableMatrix_n_cols (const MutableMatrix *M)
void	rawMutableMatrixFillRandom (MutableMatrix *M, long nelems)
void	rawMutableMatrixFillRandomDensity (MutableMatrix *M, double density, int special_type)
const RingElement *	IM2_MutableMatrix_get_entry (const MutableMatrix *M, int r, int c)
engine_RawRingElementArrayArrayOrNull	IM2_MutableMatrix_get_entries (const MutableMatrix *M)
M2_bool	IM2_MutableMatrix_set_entry (MutableMatrix M, int r, int c, const RingElement a)
M2_bool	IM2_MutableMatrix_row_swap (MutableMatrix *M, int i, int j)
M2_bool	IM2_MutableMatrix_column_swap (MutableMatrix *M, int i, int j)
M2_bool	IM2_MutableMatrix_row_operation (MutableMatrix M, int i, const RingElement r, int j, M2_bool opposite_mult)
M2_bool	IM2_MutableMatrix_column_operation (MutableMatrix M, int i, const RingElement r, int j, M2_bool opposite_mult)
M2_bool	IM2_MutableMatrix_row_scale (MutableMatrix M, const RingElement r, int i, M2_bool opposite_mult)
M2_bool	IM2_MutableMatrix_column_scale (MutableMatrix M, const RingElement r, int i, M2_bool opposite_mult)
M2_bool	IM2_MutableMatrix_insert_columns (MutableMatrix *M, int i, int n_to_add)
M2_bool	IM2_MutableMatrix_insert_rows (MutableMatrix *M, int i, int n_to_add)
M2_bool	IM2_MutableMatrix_delete_columns (MutableMatrix *M, int i, int j)
M2_bool	IM2_MutableMatrix_delete_rows (MutableMatrix *M, int i, int j)
M2_bool	IM2_MutableMatrix_column_2by2 (MutableMatrix M, int c1, int c2, const RingElement a1, const RingElement a2, const RingElement b1, const RingElement *b2, M2_bool opposite_mult)
M2_bool	IM2_MutableMatrix_row_2by2 (MutableMatrix M, int r1, int r2, const RingElement a1, const RingElement a2, const RingElement b1, const RingElement *b2, M2_bool opposite_mult)
M2_bool	IM2_MutableMatrix_sort_columns (MutableMatrix *M, int lo, int hi)
M2_bool	IM2_MutableMatrix_row_permute (MutableMatrix *M, int start, M2_arrayint perm)
M2_bool	IM2_MutableMatrix_column_permute (MutableMatrix *M, int start, M2_arrayint perm)
const RingElement *	IM2_Matrix_dot_product (const MutableMatrix *M, int c1, int c2)
M2_bool	IM2_MutableMatrix_is_zero (const MutableMatrix *M)
M2_bool	IM2_MutableMatrix_is_equal (const MutableMatrix M, const MutableMatrix N)
MutableMatrix *	rawMutableMatrixTranspose (MutableMatrix *M)
M2_bool	rawMutableMatrixIsDense (const MutableMatrix *M)
MutableMatrix *	IM2_MutableMatrix_copy (MutableMatrix *M, M2_bool prefer_dense)
M2_bool	IM2_MutableMatrix_set_values (MutableMatrix *M, M2_arrayint rows, M2_arrayint cols, engine_RawRingElementArray values)
M2_bool	IM2_MutableMatrix_reduce_by_pivots (MutableMatrix *M)
MutableMatrix *	IM2_MutableMatrix_submatrix (const MutableMatrix *M, M2_arrayint rows, M2_arrayint cols)
MutableMatrix *	IM2_MutableMatrix_submatrix1 (const MutableMatrix *M, M2_arrayint cols)
M2_arrayintOrNull	IM2_FF_LU (MutableMatrix *M)
M2_bool	rawLLL (MutableMatrix M, MutableMatrix U, gmp_QQ threshold, int strategy)
M2_bool	IM2_SmithNormalForm (MutableMatrix *M)
M2_bool	IM2_HermiteNormalForm (MutableMatrix *M)
M2_arrayintOrNull	rawLU (const MutableMatrix A, MutableMatrix L, MutableMatrix *U)
M2_arrayintOrNull	rawLUincremental (M2_arrayintOrNull P, MutableMatrix LU, const MutableMatrix v, int i)
void	rawTriangularSolve (MutableMatrix Lv, MutableMatrix x, int m, int strategy)
M2_bool	rawEigenvalues (MutableMatrix A, MutableMatrix eigenvalues, M2_bool is_symm_or_hermitian)
M2_bool	rawEigenvectors (MutableMatrix A, MutableMatrix eigenvalues, MutableMatrix *eigenvectors, M2_bool is_symm_or_hermitian)
M2_bool	rawSVD (MutableMatrix A, MutableMatrix Sigma, MutableMatrix U, MutableMatrix VT, M2_bool use_divide_and_conquer)
M2_bool	rawLeastSquares (MutableMatrix A, MutableMatrix b, MutableMatrix *x, M2_bool assume_full_rank)
M2_bool	rawQR (const MutableMatrix A, MutableMatrix Q, MutableMatrix *R, M2_bool return_QR)
long	rawLinAlgRank (MutableMatrix *M)
const RingElement *	rawLinAlgDeterminant (MutableMatrix *A)
MutableMatrix *	rawLinAlgInverse (MutableMatrix *A)
MutableMatrix *	rawLinAlgRREF (MutableMatrix *A)
M2_arrayintOrNull	rawLinAlgRankProfile (MutableMatrix *A, M2_bool row_profile)
MutableMatrix *	rawLinAlgNullSpace (MutableMatrix *A)
MutableMatrix *	rawLinAlgSolve (const MutableMatrix A, const MutableMatrix B, int *success)
MutableMatrix *	rawLinAlgSolveInvertible (const MutableMatrix A, const MutableMatrix B, int *success)
M2_bool	rawLinAlgAddMult (MutableMatrix C, const MutableMatrix A, const MutableMatrix *B)
M2_bool	rawLinAlgSubMult (MutableMatrix C, const MutableMatrix A, const MutableMatrix *B)
MutableMatrix *	rawLinAlgMult (const MutableMatrix A, const MutableMatrix B)
engine_RawRingElementArray	convertRingelemsToArray (const Ring *R, std::vector< M2::ARingZZpFFPACK::ElementType > &elems)
engine_RawRingElementArrayOrNull	rawLinAlgCharPoly (MutableMatrix *A)
engine_RawRingElementArrayOrNull	rawLinAlgMinPoly (MutableMatrix *A)
const Matrix *	rawMatrixClean (gmp_RR epsilon, const Matrix *M)
const RingElement *	rawRingElementClean (gmp_RR epsilon, const RingElement *f)
MutableMatrix *	rawMutableMatrixClean (gmp_RR epsilon, MutableMatrix *M)
static gmp_RRmutable	get_norm_start (gmp_RR p, const Ring *R)
gmp_RRorNull	rawMatrixNorm (gmp_RR p, const Matrix *M)
gmp_RRorNull	rawRingElementNorm (gmp_RR p, const RingElement *f)
gmp_RRorNull	rawMutableMatrixNorm (gmp_RR p, const MutableMatrix *M)

Functions