ffpack.C File Reference

C functions calls for FFPACK in ffpack-c.h. More...

#include "fflas-ffpack/interfaces/libs/ffpack_c.h"
#include "fflas-ffpack/fflas/fflas.h"
#include "fflas-ffpack/ffpack/ffpack.h"
#include "givaro//modular-balanced.h"
#include "givaro//modular.h"

Functions
void	LAPACKPerm2MathPerm (size_t *MathP, const size_t *LapackP, const size_t N)
void	MathPerm2LAPACKPerm (size_t *LapackP, const size_t *MathP, const size_t N)
void	MatrixApplyS_modular_double (const double p, double *A, const size_t lda, const size_t width, const size_t M2, const size_t R1, const size_t R2, const size_t R3, const size_t R4, bool positive)
void	PermApplyS_double (double *A, const size_t lda, const size_t width, const size_t M2, const size_t R1, const size_t R2, const size_t R3, const size_t R4)
void	MatrixApplyT_modular_double (const double p, double *A, const size_t lda, const size_t width, const size_t N2, const size_t R1, const size_t R2, const size_t R3, const size_t R4, bool positive)
void	PermApplyT_double (double *A, const size_t lda, const size_t width, const size_t N2, const size_t R1, const size_t R2, const size_t R3, const size_t R4)
void	composePermutationsLLM (size_t *MathP, const size_t *P1, const size_t *P2, const size_t R, const size_t N)
void	composePermutationsLLL (size_t *P1, const size_t *P2, const size_t R, const size_t N)
void	composePermutationsMLM (size_t *MathP1, const size_t *P2, const size_t R, const size_t N)
void	cyclic_shift_mathPerm (size_t *P, const size_t s)
void	cyclic_shift_row_modular_double (const double p, double *A, size_t m, size_t n, size_t lda, bool positive)
void	cyclic_shift_col_modular_double (const double p, double *A, size_t m, size_t n, size_t lda, bool positive)
void	applyP_modular_double (const double p, const enum FFLAS::FFLAS_SIDE Side, const enum FFLAS::FFLAS_TRANSPOSE Trans, const size_t M, const size_t ibeg, const size_t iend, double *A, const size_t lda, const size_t *P, bool positive)
void	fgetrsin_modular_double (const double p, const enum FFLAS::FFLAS_SIDE Side, const size_t M, const size_t N, const size_t R, double *A, const size_t lda, const size_t *P, const size_t *Q, double *B, const size_t ldb, int *info, bool positive)
double *	fgetrsv_modular_double (const double p, const enum FFLAS::FFLAS_SIDE Side, const size_t M, const size_t N, const size_t NRHS, const size_t R, double *A, const size_t lda, const size_t *P, const size_t *Q, double *X, const size_t ldx, const double *B, const size_t ldb, int *info, bool positive)
size_t	fgesvin_modular_double (const double p, const enum FFLAS::FFLAS_SIDE Side, const size_t M, const size_t N, double *A, const size_t lda, double *B, const size_t ldb, int *info, bool positive)
size_t	fgesv_modular_double (const double p, const enum FFLAS::FFLAS_SIDE Side, const size_t M, const size_t N, const size_t NRHS, double *A, const size_t lda, double *X, const size_t ldx, const double *B, const size_t ldb, int *info, bool positive)
void	ftrtri_modular_double (const double p, const enum FFLAS::FFLAS_UPLO Uplo, const enum FFLAS::FFLAS_DIAG Diag, const size_t N, double *A, const size_t lda, bool positive)
void	trinv_left_modular_double (const double p, const size_t N, const double *L, const size_t ldl, double *X, const size_t ldx, bool positive)
void	ftrtrm_modular_double (const double p, const FFLAS::FFLAS_SIDE side, const enum FFLAS::FFLAS_DIAG Diag, const size_t N, double *A, const size_t lda, bool positive)
size_t	PLUQ_modular_double (const double p, const enum FFLAS::FFLAS_DIAG Diag, const size_t M, const size_t N, double *A, const size_t lda, size_t *P, size_t *Q, bool positive)
size_t	LUdivine_modular_double (const double p, const enum FFLAS::FFLAS_DIAG Diag, const enum FFLAS::FFLAS_TRANSPOSE Trans, const size_t M, const size_t N, double *A, const size_t lda, size_t *P, size_t *Qt, const enum FFPACK_C_LU_TAG LuTag, const size_t cutoff, bool positive)
size_t	ColumnEchelonForm_modular_double (const double p, const size_t M, const size_t N, double *A, const size_t lda, size_t *P, size_t *Qt, bool transform, const enum FFPACK_C_LU_TAG LuTag, bool positive)
size_t	RowEchelonForm_modular_double (const double p, const size_t M, const size_t N, double *A, const size_t lda, size_t *P, size_t *Qt, const bool transform, const enum FFPACK_C_LU_TAG LuTag, bool positive)
size_t	ReducedColumnEchelonForm_modular_double (const double p, const size_t M, const size_t N, double *A, const size_t lda, size_t *P, size_t *Qt, const bool transform, const enum FFPACK_C_LU_TAG LuTag, bool positive)
size_t	ReducedRowEchelonForm_modular_double (const double p, const size_t M, const size_t N, double *A, const size_t lda, size_t *P, size_t *Qt, const bool transform, const enum FFPACK_C_LU_TAG LuTag, bool positive)
size_t	ColumnEchelonForm_modular_float (const float p, const size_t M, const size_t N, float *A, const size_t lda, size_t *P, size_t *Qt, bool transform, const enum FFPACK_C_LU_TAG LuTag, bool positive)
size_t	RowEchelonForm_modular_float (const float p, const size_t M, const size_t N, float *A, const size_t lda, size_t *P, size_t *Qt, const bool transform, const enum FFPACK_C_LU_TAG LuTag, bool positive)
size_t	ReducedColumnEchelonForm_modular_float (const float p, const size_t M, const size_t N, float *A, const size_t lda, size_t *P, size_t *Qt, const bool transform, const enum FFPACK_C_LU_TAG LuTag, bool positive)
size_t	ReducedRowEchelonForm_modular_float (const float p, const size_t M, const size_t N, float *A, const size_t lda, size_t *P, size_t *Qt, const bool transform, const enum FFPACK_C_LU_TAG LuTag, bool positive)
size_t	ColumnEchelonForm_modular_int32_t (const int32_t p, const size_t M, const size_t N, int32_t *A, const size_t lda, size_t *P, size_t *Qt, bool transform, const enum FFPACK_C_LU_TAG LuTag, bool positive)
size_t	RowEchelonForm_modular_int32_t (const int32_t p, const size_t M, const size_t N, int32_t *A, const size_t lda, size_t *P, size_t *Qt, const bool transform, const enum FFPACK_C_LU_TAG LuTag, bool positive)
size_t	ReducedColumnEchelonForm_modular_int32_t (const int32_t p, const size_t M, const size_t N, int32_t *A, const size_t lda, size_t *P, size_t *Qt, const bool transform, const enum FFPACK_C_LU_TAG LuTag, bool positive)
size_t	ReducedRowEchelonForm_modular_int32_t (const int32_t p, const size_t M, const size_t N, int32_t *A, const size_t lda, size_t *P, size_t *Qt, const bool transform, const enum FFPACK_C_LU_TAG LuTag, bool positive)
size_t	pColumnEchelonForm_modular_double (const double p, const size_t M, const size_t N, double *A, const size_t lda, size_t *P, size_t *Qt, bool transform, const enum FFPACK_C_LU_TAG LuTag, bool positive)
size_t	pRowEchelonForm_modular_double (const double p, const size_t M, const size_t N, double *A, const size_t lda, size_t *P, size_t *Qt, const bool transform, const enum FFPACK_C_LU_TAG LuTag, bool positive)
size_t	pReducedColumnEchelonForm_modular_double (const double p, const size_t M, const size_t N, double *A, const size_t lda, size_t *P, size_t *Qt, const bool transform, const enum FFPACK_C_LU_TAG LuTag, bool positive)
size_t	pReducedRowEchelonForm_modular_double (const double p, const size_t M, const size_t N, double *A, const size_t lda, size_t *P, size_t *Qt, const bool transform, const enum FFPACK_C_LU_TAG LuTag, bool positive)
size_t	pColumnEchelonForm_modular_float (const float p, const size_t M, const size_t N, float *A, const size_t lda, size_t *P, size_t *Qt, bool transform, const enum FFPACK_C_LU_TAG LuTag, bool positive)
size_t	pRowEchelonForm_modular_float (const float p, const size_t M, const size_t N, float *A, const size_t lda, size_t *P, size_t *Qt, const bool transform, const enum FFPACK_C_LU_TAG LuTag, bool positive)
size_t	pReducedColumnEchelonForm_modular_float (const float p, const size_t M, const size_t N, float *A, const size_t lda, size_t *P, size_t *Qt, const bool transform, const enum FFPACK_C_LU_TAG LuTag, bool positive)
size_t	pReducedRowEchelonForm_modular_float (const float p, const size_t M, const size_t N, float *A, const size_t lda, size_t *P, size_t *Qt, const bool transform, const enum FFPACK_C_LU_TAG LuTag, bool positive)
size_t	pColumnEchelonForm_modular_int32_t (const int32_t p, const size_t M, const size_t N, int32_t *A, const size_t lda, size_t *P, size_t *Qt, bool transform, const enum FFPACK_C_LU_TAG LuTag, bool positive)
size_t	pRowEchelonForm_modular_int32_t (const int32_t p, const size_t M, const size_t N, int32_t *A, const size_t lda, size_t *P, size_t *Qt, const bool transform, const enum FFPACK_C_LU_TAG LuTag, bool positive)
size_t	pReducedColumnEchelonForm_modular_int32_t (const int32_t p, const size_t M, const size_t N, int32_t *A, const size_t lda, size_t *P, size_t *Qt, const bool transform, const enum FFPACK_C_LU_TAG LuTag, bool positive)
size_t	pReducedRowEchelonForm_modular_int32_t (const int32_t p, const size_t M, const size_t N, int32_t *A, const size_t lda, size_t *P, size_t *Qt, const bool transform, const enum FFPACK_C_LU_TAG LuTag, bool positive)
double *	Invertin_modular_double (const double p, const size_t M, double *A, const size_t lda, int *nullity, bool positive)
double *	Invert_modular_double (const double p, const size_t M, const double *A, const size_t lda, double *X, const size_t ldx, int *nullity, bool positive)
double *	Invert2_modular_double (const double p, const size_t M, double *A, const size_t lda, double *X, const size_t ldx, int *nullity, bool positive)
size_t	KrylovElim_modular_double (const double p, const size_t M, const size_t N, double *A, const size_t lda, size_t *P, size_t *Q, const size_t deg, size_t *iterates, size_t *inviterates, const size_t maxit, size_t virt, bool positive)
size_t	SpecRankProfile_modular_double (const double p, const size_t M, const size_t N, double *A, const size_t lda, const size_t deg, size_t *rankProfile, bool positive)
size_t	Rank_modular_double (const double p, const size_t M, const size_t N, double *A, const size_t lda, bool positive)
bool	IsSingular_modular_double (const double p, const size_t M, const size_t N, double *A, const size_t lda, bool positive)
double	Det_modular_double (const double p, const size_t N, double *A, const size_t lda, bool positive)
double *	Solve_modular_double (const double p, const size_t M, double *A, const size_t lda, double *x, const int incx, const double *b, const int incb, bool positive)
void	solveLB_modular_double (const double p, const enum FFLAS::FFLAS_SIDE Side, const size_t M, const size_t N, const size_t R, double *L, const size_t ldl, const size_t *Q, double *B, const size_t ldb, bool positive)
void	solveLB2_modular_double (const double p, const enum FFLAS::FFLAS_SIDE Side, const size_t M, const size_t N, const size_t R, double *L, const size_t ldl, const size_t *Q, double *B, const size_t ldb, bool positive)
void	RandomNullSpaceVector_modular_double (const double p, const enum FFLAS::FFLAS_SIDE Side, const size_t M, const size_t N, double *A, const size_t lda, double *X, const size_t incX, bool positive)
size_t	NullSpaceBasis_modular_double (const double p, const enum FFLAS::FFLAS_SIDE Side, const size_t M, const size_t N, double *A, const size_t lda, double **NS, size_t *ldn, size_t *NSdim, bool positive)
size_t	RowRankProfile_modular_double (const double p, const size_t M, const size_t N, double *A, const size_t lda, size_t **rkprofile, const enum FFPACK_C_LU_TAG LuTag, bool positive)
size_t	ColumnRankProfile_modular_double (const double p, const size_t M, const size_t N, double *A, const size_t lda, size_t **rkprofile, const enum FFPACK_C_LU_TAG LuTag, bool positive)
void	RankProfileFromLU (const size_t *P, const size_t N, const size_t R, size_t *rkprofile, const enum FFPACK_C_LU_TAG LuTag)
size_t	LeadingSubmatrixRankProfiles (const size_t M, const size_t N, const size_t R, const size_t LSm, const size_t LSn, const size_t *P, const size_t *Q, size_t *RRP, size_t *CRP)
size_t	RowRankProfileSubmatrixIndices_modular_double (const double p, const size_t M, const size_t N, double *A, const size_t lda, size_t **rowindices, size_t **colindices, size_t *R, bool positive)
size_t	ColRankProfileSubmatrixIndices_modular_double (const double p, const size_t M, const size_t N, double *A, const size_t lda, size_t **rowindices, size_t **colindices, size_t *R, bool positive)
size_t	RowRankProfileSubmatrix_modular_double (const double p, const size_t M, const size_t N, double *A, const size_t lda, double **X, size_t *R, bool positive)
size_t	ColRankProfileSubmatrix_modular_double (const double p, const size_t M, const size_t N, double *A, const size_t lda, double **X, size_t *R, bool positive)
void	getTriangular_modular_double (const double p, const enum FFLAS::FFLAS_UPLO Uplo, const enum FFLAS::FFLAS_DIAG Diag, const size_t M, const size_t N, const size_t R, const double *A, const size_t lda, double *T, const size_t ldt, const bool OnlyNonZeroVectors, bool positive)
void	getTriangularin_modular_double (const double p, const enum FFLAS::FFLAS_UPLO Uplo, const enum FFLAS::FFLAS_DIAG Diag, const size_t M, const size_t N, const size_t R, double *A, const size_t lda, bool positive)
void	getEchelonForm_modular_double (const double p, const enum FFLAS::FFLAS_UPLO Uplo, const enum FFLAS::FFLAS_DIAG Diag, const size_t M, const size_t N, const size_t R, const size_t *P, const double *A, const size_t lda, double *T, const size_t ldt, const bool OnlyNonZeroVectors, const enum FFPACK_C_LU_TAG LuTag, bool positive)
void	getEchelonFormin_modular_double (const double p, const enum FFLAS::FFLAS_UPLO Uplo, const enum FFLAS::FFLAS_DIAG Diag, const size_t M, const size_t N, const size_t R, const size_t *P, double *A, const size_t lda, const enum FFPACK_C_LU_TAG LuTag, bool positive)
void	getEchelonTransform_modular_double (const double p, const enum FFLAS::FFLAS_UPLO Uplo, const enum FFLAS::FFLAS_DIAG Diag, const size_t M, const size_t N, const size_t R, const size_t *P, const size_t *Q, const double *A, const size_t lda, double *T, const size_t ldt, const enum FFPACK_C_LU_TAG LuTag, bool positive)
void	getReducedEchelonForm_modular_double (const double p, const enum FFLAS::FFLAS_UPLO Uplo, const size_t M, const size_t N, const size_t R, const size_t *P, const double *A, const size_t lda, double *T, const size_t ldt, const bool OnlyNonZeroVectors, const enum FFPACK_C_LU_TAG LuTag, bool positive)
void	getReducedEchelonFormin_modular_double (const double p, const enum FFLAS::FFLAS_UPLO Uplo, const size_t M, const size_t N, const size_t R, const size_t *P, double *A, const size_t lda, const enum FFPACK_C_LU_TAG LuTag, bool positive)
void	getReducedEchelonTransform_modular_double (const double p, const enum FFLAS::FFLAS_UPLO Uplo, const size_t M, const size_t N, const size_t R, const size_t *P, const size_t *Q, const double *A, const size_t lda, double *T, const size_t ldt, const enum FFPACK_C_LU_TAG LuTag, bool positive)
void	PLUQtoEchelonPermutation (const size_t N, const size_t R, const size_t *P, size_t *outPerm)

Detailed Description

C functions calls for FFPACK in ffpack-c.h.

Author

Brice Boyer

See also

ffpack/ffpack.h

Function Documentation

LAPACKPerm2MathPerm()

void LAPACKPerm2MathPerm	(	size_t *	MathP,
		const size_t *	LapackP,
		const size_t	N
	)

MathPerm2LAPACKPerm()

void MathPerm2LAPACKPerm	(	size_t *	LapackP,
		const size_t *	MathP,
		const size_t	N
	)

MatrixApplyS_modular_double()

void MatrixApplyS_modular_double	(	const double	p,
		double *	A,
		const size_t	lda,
		const size_t	width,
		const size_t	M2,
		const size_t	R1,
		const size_t	R2,
		const size_t	R3,
		const size_t	R4,
		bool	positive
	)

PermApplyS_double()

void PermApplyS_double	(	double *	A,
		const size_t	lda,
		const size_t	width,
		const size_t	M2,
		const size_t	R1,
		const size_t	R2,
		const size_t	R3,
		const size_t	R4
	)

MatrixApplyT_modular_double()

void MatrixApplyT_modular_double	(	const double	p,
		double *	A,
		const size_t	lda,
		const size_t	width,
		const size_t	N2,
		const size_t	R1,
		const size_t	R2,
		const size_t	R3,
		const size_t	R4,
		bool	positive
	)

PermApplyT_double()

void PermApplyT_double	(	double *	A,
		const size_t	lda,
		const size_t	width,
		const size_t	N2,
		const size_t	R1,
		const size_t	R2,
		const size_t	R3,
		const size_t	R4
	)

composePermutationsLLM()

void composePermutationsLLM	(	size_t *	MathP,
		const size_t *	P1,
		const size_t *	P2,
		const size_t	R,
		const size_t	N
	)

composePermutationsLLL()

void composePermutationsLLL	(	size_t *	P1,
		const size_t *	P2,
		const size_t	R,
		const size_t	N
	)

composePermutationsMLM()

void composePermutationsMLM	(	size_t *	MathP1,
		const size_t *	P2,
		const size_t	R,
		const size_t	N
	)

cyclic_shift_mathPerm()

void cyclic_shift_mathPerm	(	size_t *	P,
		const size_t	s
	)

cyclic_shift_row_modular_double()

void cyclic_shift_row_modular_double	(	const double	p,
		double *	A,
		size_t	m,
		size_t	n,
		size_t	lda,
		bool	positive
	)

cyclic_shift_col_modular_double()

void cyclic_shift_col_modular_double	(	const double	p,
		double *	A,
		size_t	m,
		size_t	n,
		size_t	lda,
		bool	positive
	)

applyP_modular_double()

void applyP_modular_double	(	const double	p,
		const enum FFLAS::FFLAS_SIDE	Side,
		const enum FFLAS::FFLAS_TRANSPOSE	Trans,
		const size_t	M,
		const size_t	ibeg,
		const size_t	iend,
		double *	A,
		const size_t	lda,
		const size_t *	P,
		bool	positive
	)

fgetrsin_modular_double()

void fgetrsin_modular_double	(	const double	p,
		const enum FFLAS::FFLAS_SIDE	Side,
		const size_t	M,
		const size_t	N,
		const size_t	R,
		double *	A,
		const size_t	lda,
		const size_t *	P,
		const size_t *	Q,
		double *	B,
		const size_t	ldb,
		int *	info,
		bool	positive
	)

fgetrsv_modular_double()

double * fgetrsv_modular_double	(	const double	p,
		const enum FFLAS::FFLAS_SIDE	Side,
		const size_t	M,
		const size_t	N,
		const size_t	NRHS,
		const size_t	R,
		double *	A,
		const size_t	lda,
		const size_t *	P,
		const size_t *	Q,
		double *	X,
		const size_t	ldx,
		const double *	B,
		const size_t	ldb,
		int *	info,
		bool	positive
	)

fgesvin_modular_double()

size_t fgesvin_modular_double	(	const double	p,
		const enum FFLAS::FFLAS_SIDE	Side,
		const size_t	M,
		const size_t	N,
		double *	A,
		const size_t	lda,
		double *	B,
		const size_t	ldb,
		int *	info,
		bool	positive
	)

fgesv_modular_double()

size_t fgesv_modular_double	(	const double	p,
		const enum FFLAS::FFLAS_SIDE	Side,
		const size_t	M,
		const size_t	N,
		const size_t	NRHS,
		double *	A,
		const size_t	lda,
		double *	X,
		const size_t	ldx,
		const double *	B,
		const size_t	ldb,
		int *	info,
		bool	positive
	)

ftrtri_modular_double()

void ftrtri_modular_double	(	const double	p,
		const enum FFLAS::FFLAS_UPLO	Uplo,
		const enum FFLAS::FFLAS_DIAG	Diag,
		const size_t	N,
		double *	A,
		const size_t	lda,
		bool	positive
	)

trinv_left_modular_double()

void trinv_left_modular_double	(	const double	p,
		const size_t	N,
		const double *	L,
		const size_t	ldl,
		double *	X,
		const size_t	ldx,
		bool	positive
	)

ftrtrm_modular_double()

void ftrtrm_modular_double	(	const double	p,
		const FFLAS::FFLAS_SIDE	side,
		const enum FFLAS::FFLAS_DIAG	Diag,
		const size_t	N,
		double *	A,
		const size_t	lda,
		bool	positive
	)

PLUQ_modular_double()

size_t PLUQ_modular_double	(	const double	p,
		const enum FFLAS::FFLAS_DIAG	Diag,
		const size_t	M,
		const size_t	N,
		double *	A,
		const size_t	lda,
		size_t *	P,
		size_t *	Q,
		bool	positive
	)

LUdivine_modular_double()

size_t LUdivine_modular_double	(	const double	p,
		const enum FFLAS::FFLAS_DIAG	Diag,
		const enum FFLAS::FFLAS_TRANSPOSE	Trans,
		const size_t	M,
		const size_t	N,
		double *	A,
		const size_t	lda,
		size_t *	P,
		size_t *	Qt,
		const enum FFPACK_C_LU_TAG	LuTag,
		const size_t	cutoff,
		bool	positive
	)

ColumnEchelonForm_modular_double()

size_t ColumnEchelonForm_modular_double	(	const double	p,
		const size_t	M,
		const size_t	N,
		double *	A,
		const size_t	lda,
		size_t *	P,
		size_t *	Qt,
		bool	transform,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

RowEchelonForm_modular_double()

size_t RowEchelonForm_modular_double	(	const double	p,
		const size_t	M,
		const size_t	N,
		double *	A,
		const size_t	lda,
		size_t *	P,
		size_t *	Qt,
		const bool	transform,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

ReducedColumnEchelonForm_modular_double()

size_t ReducedColumnEchelonForm_modular_double	(	const double	p,
		const size_t	M,
		const size_t	N,
		double *	A,
		const size_t	lda,
		size_t *	P,
		size_t *	Qt,
		const bool	transform,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

ReducedRowEchelonForm_modular_double()

size_t ReducedRowEchelonForm_modular_double	(	const double	p,
		const size_t	M,
		const size_t	N,
		double *	A,
		const size_t	lda,
		size_t *	P,
		size_t *	Qt,
		const bool	transform,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

ColumnEchelonForm_modular_float()

size_t ColumnEchelonForm_modular_float	(	const float	p,
		const size_t	M,
		const size_t	N,
		float *	A,
		const size_t	lda,
		size_t *	P,
		size_t *	Qt,
		bool	transform,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

RowEchelonForm_modular_float()

size_t RowEchelonForm_modular_float	(	const float	p,
		const size_t	M,
		const size_t	N,
		float *	A,
		const size_t	lda,
		size_t *	P,
		size_t *	Qt,
		const bool	transform,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

ReducedColumnEchelonForm_modular_float()

size_t ReducedColumnEchelonForm_modular_float	(	const float	p,
		const size_t	M,
		const size_t	N,
		float *	A,
		const size_t	lda,
		size_t *	P,
		size_t *	Qt,
		const bool	transform,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

ReducedRowEchelonForm_modular_float()

size_t ReducedRowEchelonForm_modular_float	(	const float	p,
		const size_t	M,
		const size_t	N,
		float *	A,
		const size_t	lda,
		size_t *	P,
		size_t *	Qt,
		const bool	transform,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

ColumnEchelonForm_modular_int32_t()

size_t ColumnEchelonForm_modular_int32_t	(	const int32_t	p,
		const size_t	M,
		const size_t	N,
		int32_t *	A,
		const size_t	lda,
		size_t *	P,
		size_t *	Qt,
		bool	transform,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

RowEchelonForm_modular_int32_t()

size_t RowEchelonForm_modular_int32_t	(	const int32_t	p,
		const size_t	M,
		const size_t	N,
		int32_t *	A,
		const size_t	lda,
		size_t *	P,
		size_t *	Qt,
		const bool	transform,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

ReducedColumnEchelonForm_modular_int32_t()

size_t ReducedColumnEchelonForm_modular_int32_t	(	const int32_t	p,
		const size_t	M,
		const size_t	N,
		int32_t *	A,
		const size_t	lda,
		size_t *	P,
		size_t *	Qt,
		const bool	transform,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

ReducedRowEchelonForm_modular_int32_t()

size_t ReducedRowEchelonForm_modular_int32_t	(	const int32_t	p,
		const size_t	M,
		const size_t	N,
		int32_t *	A,
		const size_t	lda,
		size_t *	P,
		size_t *	Qt,
		const bool	transform,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

pColumnEchelonForm_modular_double()

size_t pColumnEchelonForm_modular_double	(	const double	p,
		const size_t	M,
		const size_t	N,
		double *	A,
		const size_t	lda,
		size_t *	P,
		size_t *	Qt,
		bool	transform,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

pRowEchelonForm_modular_double()

size_t pRowEchelonForm_modular_double	(	const double	p,
		const size_t	M,
		const size_t	N,
		double *	A,
		const size_t	lda,
		size_t *	P,
		size_t *	Qt,
		const bool	transform,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

pReducedColumnEchelonForm_modular_double()

size_t pReducedColumnEchelonForm_modular_double	(	const double	p,
		const size_t	M,
		const size_t	N,
		double *	A,
		const size_t	lda,
		size_t *	P,
		size_t *	Qt,
		const bool	transform,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

pReducedRowEchelonForm_modular_double()

size_t pReducedRowEchelonForm_modular_double	(	const double	p,
		const size_t	M,
		const size_t	N,
		double *	A,
		const size_t	lda,
		size_t *	P,
		size_t *	Qt,
		const bool	transform,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

pColumnEchelonForm_modular_float()

size_t pColumnEchelonForm_modular_float	(	const float	p,
		const size_t	M,
		const size_t	N,
		float *	A,
		const size_t	lda,
		size_t *	P,
		size_t *	Qt,
		bool	transform,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

pRowEchelonForm_modular_float()

size_t pRowEchelonForm_modular_float	(	const float	p,
		const size_t	M,
		const size_t	N,
		float *	A,
		const size_t	lda,
		size_t *	P,
		size_t *	Qt,
		const bool	transform,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

pReducedColumnEchelonForm_modular_float()

size_t pReducedColumnEchelonForm_modular_float	(	const float	p,
		const size_t	M,
		const size_t	N,
		float *	A,
		const size_t	lda,
		size_t *	P,
		size_t *	Qt,
		const bool	transform,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

pReducedRowEchelonForm_modular_float()

size_t pReducedRowEchelonForm_modular_float	(	const float	p,
		const size_t	M,
		const size_t	N,
		float *	A,
		const size_t	lda,
		size_t *	P,
		size_t *	Qt,
		const bool	transform,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

pColumnEchelonForm_modular_int32_t()

size_t pColumnEchelonForm_modular_int32_t	(	const int32_t	p,
		const size_t	M,
		const size_t	N,
		int32_t *	A,
		const size_t	lda,
		size_t *	P,
		size_t *	Qt,
		bool	transform,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

pRowEchelonForm_modular_int32_t()

size_t pRowEchelonForm_modular_int32_t	(	const int32_t	p,
		const size_t	M,
		const size_t	N,
		int32_t *	A,
		const size_t	lda,
		size_t *	P,
		size_t *	Qt,
		const bool	transform,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

pReducedColumnEchelonForm_modular_int32_t()

size_t pReducedColumnEchelonForm_modular_int32_t	(	const int32_t	p,
		const size_t	M,
		const size_t	N,
		int32_t *	A,
		const size_t	lda,
		size_t *	P,
		size_t *	Qt,
		const bool	transform,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

pReducedRowEchelonForm_modular_int32_t()

size_t pReducedRowEchelonForm_modular_int32_t	(	const int32_t	p,
		const size_t	M,
		const size_t	N,
		int32_t *	A,
		const size_t	lda,
		size_t *	P,
		size_t *	Qt,
		const bool	transform,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

Invertin_modular_double()

double * Invertin_modular_double	(	const double	p,
		const size_t	M,
		double *	A,
		const size_t	lda,
		int *	nullity,
		bool	positive
	)

Invert_modular_double()

double * Invert_modular_double	(	const double	p,
		const size_t	M,
		const double *	A,
		const size_t	lda,
		double *	X,
		const size_t	ldx,
		int *	nullity,
		bool	positive
	)

Invert2_modular_double()

double * Invert2_modular_double	(	const double	p,
		const size_t	M,
		double *	A,
		const size_t	lda,
		double *	X,
		const size_t	ldx,
		int *	nullity,
		bool	positive
	)

KrylovElim_modular_double()

size_t KrylovElim_modular_double	(	const double	p,
		const size_t	M,
		const size_t	N,
		double *	A,
		const size_t	lda,
		size_t *	P,
		size_t *	Q,
		const size_t	deg,
		size_t *	iterates,
		size_t *	inviterates,
		const size_t	maxit,
		size_t	virt,
		bool	positive
	)

SpecRankProfile_modular_double()

size_t SpecRankProfile_modular_double	(	const double	p,
		const size_t	M,
		const size_t	N,
		double *	A,
		const size_t	lda,
		const size_t	deg,
		size_t *	rankProfile,
		bool	positive
	)

Rank_modular_double()

size_t Rank_modular_double	(	const double	p,
		const size_t	M,
		const size_t	N,
		double *	A,
		const size_t	lda,
		bool	positive
	)

IsSingular_modular_double()

bool IsSingular_modular_double	(	const double	p,
		const size_t	M,
		const size_t	N,
		double *	A,
		const size_t	lda,
		bool	positive
	)

Det_modular_double()

double Det_modular_double	(	const double	p,
		const size_t	N,
		double *	A,
		const size_t	lda,
		bool	positive
	)

Solve_modular_double()

double * Solve_modular_double	(	const double	p,
		const size_t	M,
		double *	A,
		const size_t	lda,
		double *	x,
		const int	incx,
		const double *	b,
		const int	incb,
		bool	positive
	)

solveLB_modular_double()

void solveLB_modular_double	(	const double	p,
		const enum FFLAS::FFLAS_SIDE	Side,
		const size_t	M,
		const size_t	N,
		const size_t	R,
		double *	L,
		const size_t	ldl,
		const size_t *	Q,
		double *	B,
		const size_t	ldb,
		bool	positive
	)

solveLB2_modular_double()

void solveLB2_modular_double	(	const double	p,
		const enum FFLAS::FFLAS_SIDE	Side,
		const size_t	M,
		const size_t	N,
		const size_t	R,
		double *	L,
		const size_t	ldl,
		const size_t *	Q,
		double *	B,
		const size_t	ldb,
		bool	positive
	)

RandomNullSpaceVector_modular_double()

void RandomNullSpaceVector_modular_double	(	const double	p,
		const enum FFLAS::FFLAS_SIDE	Side,
		const size_t	M,
		const size_t	N,
		double *	A,
		const size_t	lda,
		double *	X,
		const size_t	incX,
		bool	positive
	)

NullSpaceBasis_modular_double()

size_t NullSpaceBasis_modular_double	(	const double	p,
		const enum FFLAS::FFLAS_SIDE	Side,
		const size_t	M,
		const size_t	N,
		double *	A,
		const size_t	lda,
		double **	NS,
		size_t *	ldn,
		size_t *	NSdim,
		bool	positive
	)

RowRankProfile_modular_double()

size_t RowRankProfile_modular_double	(	const double	p,
		const size_t	M,
		const size_t	N,
		double *	A,
		const size_t	lda,
		size_t **	rkprofile,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

ColumnRankProfile_modular_double()

size_t ColumnRankProfile_modular_double	(	const double	p,
		const size_t	M,
		const size_t	N,
		double *	A,
		const size_t	lda,
		size_t **	rkprofile,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

RankProfileFromLU()

void RankProfileFromLU	(	const size_t *	P,
		const size_t	N,
		const size_t	R,
		size_t *	rkprofile,
		const enum FFPACK_C_LU_TAG	LuTag
	)

LeadingSubmatrixRankProfiles()

size_t LeadingSubmatrixRankProfiles	(	const size_t	M,
		const size_t	N,
		const size_t	R,
		const size_t	LSm,
		const size_t	LSn,
		const size_t *	P,
		const size_t *	Q,
		size_t *	RRP,
		size_t *	CRP
	)

RowRankProfileSubmatrixIndices_modular_double()

size_t RowRankProfileSubmatrixIndices_modular_double	(	const double	p,
		const size_t	M,
		const size_t	N,
		double *	A,
		const size_t	lda,
		size_t **	rowindices,
		size_t **	colindices,
		size_t *	R,
		bool	positive
	)

ColRankProfileSubmatrixIndices_modular_double()

size_t ColRankProfileSubmatrixIndices_modular_double	(	const double	p,
		const size_t	M,
		const size_t	N,
		double *	A,
		const size_t	lda,
		size_t **	rowindices,
		size_t **	colindices,
		size_t *	R,
		bool	positive
	)

RowRankProfileSubmatrix_modular_double()

size_t RowRankProfileSubmatrix_modular_double	(	const double	p,
		const size_t	M,
		const size_t	N,
		double *	A,
		const size_t	lda,
		double **	X,
		size_t *	R,
		bool	positive
	)

ColRankProfileSubmatrix_modular_double()

size_t ColRankProfileSubmatrix_modular_double	(	const double	p,
		const size_t	M,
		const size_t	N,
		double *	A,
		const size_t	lda,
		double **	X,
		size_t *	R,
		bool	positive
	)

getTriangular_modular_double()

void getTriangular_modular_double	(	const double	p,
		const enum FFLAS::FFLAS_UPLO	Uplo,
		const enum FFLAS::FFLAS_DIAG	Diag,
		const size_t	M,
		const size_t	N,
		const size_t	R,
		const double *	A,
		const size_t	lda,
		double *	T,
		const size_t	ldt,
		const bool	OnlyNonZeroVectors,
		bool	positive
	)

getTriangularin_modular_double()

void getTriangularin_modular_double	(	const double	p,
		const enum FFLAS::FFLAS_UPLO	Uplo,
		const enum FFLAS::FFLAS_DIAG	Diag,
		const size_t	M,
		const size_t	N,
		const size_t	R,
		double *	A,
		const size_t	lda,
		bool	positive
	)

getEchelonForm_modular_double()

void getEchelonForm_modular_double	(	const double	p,
		const enum FFLAS::FFLAS_UPLO	Uplo,
		const enum FFLAS::FFLAS_DIAG	Diag,
		const size_t	M,
		const size_t	N,
		const size_t	R,
		const size_t *	P,
		const double *	A,
		const size_t	lda,
		double *	T,
		const size_t	ldt,
		const bool	OnlyNonZeroVectors,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

getEchelonFormin_modular_double()

void getEchelonFormin_modular_double	(	const double	p,
		const enum FFLAS::FFLAS_UPLO	Uplo,
		const enum FFLAS::FFLAS_DIAG	Diag,
		const size_t	M,
		const size_t	N,
		const size_t	R,
		const size_t *	P,
		double *	A,
		const size_t	lda,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

getEchelonTransform_modular_double()

void getEchelonTransform_modular_double	(	const double	p,
		const enum FFLAS::FFLAS_UPLO	Uplo,
		const enum FFLAS::FFLAS_DIAG	Diag,
		const size_t	M,
		const size_t	N,
		const size_t	R,
		const size_t *	P,
		const size_t *	Q,
		const double *	A,
		const size_t	lda,
		double *	T,
		const size_t	ldt,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

getReducedEchelonForm_modular_double()

void getReducedEchelonForm_modular_double	(	const double	p,
		const enum FFLAS::FFLAS_UPLO	Uplo,
		const size_t	M,
		const size_t	N,
		const size_t	R,
		const size_t *	P,
		const double *	A,
		const size_t	lda,
		double *	T,
		const size_t	ldt,
		const bool	OnlyNonZeroVectors,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

getReducedEchelonFormin_modular_double()

void getReducedEchelonFormin_modular_double	(	const double	p,
		const enum FFLAS::FFLAS_UPLO	Uplo,
		const size_t	M,
		const size_t	N,
		const size_t	R,
		const size_t *	P,
		double *	A,
		const size_t	lda,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

getReducedEchelonTransform_modular_double()

void getReducedEchelonTransform_modular_double	(	const double	p,
		const enum FFLAS::FFLAS_UPLO	Uplo,
		const size_t	M,
		const size_t	N,
		const size_t	R,
		const size_t *	P,
		const size_t *	Q,
		const double *	A,
		const size_t	lda,
		double *	T,
		const size_t	ldt,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

PLUQtoEchelonPermutation()

void PLUQtoEchelonPermutation	(	const size_t	N,
		const size_t	R,
		const size_t *	P,
		size_t *	outPerm
	)