#include <stdbool.h>
#include <stdlib.h>
#include <inttypes.h>

Macros
#define	FFPACK_COMPILED

Enumerations
enum	FFLAS_C_ORDER { FflasRowMajor =101 , FflasColMajor =102 , FflasRowMajor =101 , FflasColMajor =102 }

enum	FFLAS_C_TRANSPOSE { FflasNoTrans = 111 , FflasTrans = 112 , FflasNoTrans = 111 , FflasTrans = 112 }

enum	FFLAS_C_UPLO { FflasUpper = 121 , FflasLower = 122 , FflasUpper = 121 , FflasLower = 122 }

enum	FFLAS_C_DIAG { FflasNonUnit = 131 , FflasUnit = 132 , FflasNonUnit = 131 , FflasUnit = 132 }

enum	FFLAS_C_SIDE { FflasLeft = 141 , FflasRight = 142 , FflasLeft = 141 , FflasRight = 142 }

enum	FFPACK_C_LU_TAG { FfpackSlabRecursive = 1 , FfpackTileRecursive = 2 , FfpackSingular = 3 }

enum	FFPACK_C_CHARPOLY_TAG { FfpackLUK =1 , FfpackKG =2 , FfpackHybrid =3 , FfpackKGFast =4 , FfpackDanilevski =5 , FfpackArithProg =6 , FfpackKGFastG =7 }

enum	FFPACK_C_MINPOLY_TAG { FfpackDense =1 , FfpackKGF =2 }

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_C_SIDE Side, const enum FFLAS_C_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_C_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 *	fgetrs_modular_double (const double p, const enum FFLAS_C_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_C_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_C_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)

void	ftrtri_modular_double (const double p, const enum FFLAS_C_UPLO Uplo, const enum FFLAS_C_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 enum FFLAS_C_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_C_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_C_DIAG Diag, const enum FFLAS_C_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	LUdivine_small_modular_double (const double p, const enum FFLAS_C_DIAG Diag, const enum FFLAS_C_TRANSPOSE trans, const size_t M, const size_t N, double A, const size_t lda, size_t P, size_t *Q, const enum FFPACK_C_LU_TAG LuTag, bool positive)

size_t	LUdivine_gauss_modular_double (const double p, const enum FFLAS_C_DIAG Diag, const size_t M, const size_t N, double A, const size_t lda, size_t P, size_t *Q, const enum FFPACK_C_LU_TAG LuTag, 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	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	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_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	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	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	ReducedRowEchelonForm2_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, bool positive)

size_t	REF_modular_double (const double p, const size_t M, const size_t N, double A, const size_t lda, const size_t colbeg, const size_t rowbeg, const size_t colsize, size_t Qt, size_t *P, 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_C_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)

void	solveLB2_modular_double (const double p, const enum FFLAS_C_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_C_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_C_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_C_UPLO Uplo, const enum FFLAS_C_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_C_UPLO Uplo, const enum FFLAS_C_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_C_UPLO Uplo, const enum FFLAS_C_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_C_UPLO Uplo, const enum FFLAS_C_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_C_UPLO Uplo, const enum FFLAS_C_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_C_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_C_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_C_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)

Macro Definition Documentation

◆ FFPACK_COMPILED

#define FFPACK_COMPILED

Enumeration Type Documentation

◆ FFLAS_C_ORDER

enum FFLAS_C_ORDER

Enumerator
FflasRowMajor	row major
FflasColMajor	col major
FflasRowMajor
FflasColMajor

◆ FFLAS_C_TRANSPOSE

enum FFLAS_C_TRANSPOSE

Enumerator
FflasNoTrans	Matrix is not transposed.
FflasTrans	Matrix is transposed.
FflasNoTrans
FflasTrans

◆ FFLAS_C_UPLO

enum FFLAS_C_UPLO

Enumerator
FflasUpper	Triangular matrix is Upper triangular (if then $T_{i,j} = 0$ )
FflasLower	Triangular matrix is Lower triangular (if then $T_{i,j} = 0$ )
FflasUpper
FflasLower

◆ FFLAS_C_DIAG

enum FFLAS_C_DIAG

Enumerator
FflasNonUnit	Triangular matrix has an explicit arbitrary diagonal.
FflasUnit	Triangular matrix has an implicit unit diagonal ( $T_{i,i} = 1$ )
FflasNonUnit
FflasUnit

◆ FFLAS_C_SIDE

enum FFLAS_C_SIDE

Enumerator
FflasLeft	Operator applied on the left.
FflasRight	Operator applied on the rigth.
FflasLeft
FflasRight

◆ FFPACK_C_LU_TAG

enum FFPACK_C_LU_TAG

Enumerator
FfpackSlabRecursive
FfpackTileRecursive
FfpackSingular

◆ FFPACK_C_CHARPOLY_TAG

enum FFPACK_C_CHARPOLY_TAG

Enumerator
FfpackLUK
FfpackKG
FfpackHybrid
FfpackKGFast
FfpackDanilevski
FfpackArithProg
FfpackKGFastG

◆ FFPACK_C_MINPOLY_TAG

enum FFPACK_C_MINPOLY_TAG

Enumerator
FfpackDense
FfpackKGF

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_C_SIDE	Side,
		const enum FFLAS_C_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_C_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
	)

◆ fgetrs_modular_double()

double * fgetrs_modular_double	(	const double	p,
		const enum FFLAS_C_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_C_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_C_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
	)

◆ ftrtri_modular_double()

void ftrtri_modular_double	(	const double	p,
		const enum FFLAS_C_UPLO	Uplo,
		const enum FFLAS_C_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 enum FFLAS_C_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_C_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_C_DIAG	Diag,
		const enum FFLAS_C_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
	)

◆ LUdivine_small_modular_double()

size_t LUdivine_small_modular_double	(	const double	p,
		const enum FFLAS_C_DIAG	Diag,
		const enum FFLAS_C_TRANSPOSE	trans,
		const size_t	M,
		const size_t	N,
		double *	A,
		const size_t	lda,
		size_t *	P,
		size_t *	Q,
		const enum FFPACK_C_LU_TAG	LuTag,
		bool	positive
	)

◆ LUdivine_gauss_modular_double()

size_t LUdivine_gauss_modular_double	(	const double	p,
		const enum FFLAS_C_DIAG	Diag,
		const size_t	M,
		const size_t	N,
		double *	A,
		const size_t	lda,
		size_t *	P,
		size_t *	Q,
		const enum FFPACK_C_LU_TAG	LuTag,
		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
	)

◆ 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
	)

◆ 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_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
	)

◆ 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
	)

◆ 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
	)

◆ ReducedRowEchelonForm2_modular_double()

size_t ReducedRowEchelonForm2_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,
		bool	positive
	)

◆ REF_modular_double()

size_t REF_modular_double	(	const double	p,
		const size_t	M,
		const size_t	N,
		double *	A,
		const size_t	lda,
		const size_t	colbeg,
		const size_t	rowbeg,
		const size_t	colsize,
		size_t *	Qt,
		size_t *	P,
		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_C_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
	)

◆ solveLB2_modular_double()

void solveLB2_modular_double	(	const double	p,
		const enum FFLAS_C_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_C_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_C_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_C_UPLO	Uplo,
		const enum FFLAS_C_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_C_UPLO	Uplo,
		const enum FFLAS_C_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_C_UPLO	Uplo,
		const enum FFLAS_C_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_C_UPLO	Uplo,
		const enum FFLAS_C_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_C_UPLO	Uplo,
		const enum FFLAS_C_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_C_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_C_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_C_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
	)

Macros

Enumerations

Functions

Macro Definition Documentation

◆ FFPACK_COMPILED

Enumeration Type Documentation

◆ FFLAS_C_ORDER

◆ FFLAS_C_TRANSPOSE

◆ FFLAS_C_UPLO

◆ FFLAS_C_DIAG

◆ FFLAS_C_SIDE

◆ FFPACK_C_LU_TAG

◆ FFPACK_C_CHARPOLY_TAG

◆ FFPACK_C_MINPOLY_TAG

Function Documentation

◆ LAPACKPerm2MathPerm()

◆ MathPerm2LAPACKPerm()

◆ MatrixApplyS_modular_double()

◆ PermApplyS_double()

◆ MatrixApplyT_modular_double()

◆ PermApplyT_double()

◆ composePermutationsLLM()

◆ composePermutationsLLL()

◆ composePermutationsMLM()

◆ cyclic_shift_mathPerm()

◆ cyclic_shift_row_modular_double()

◆ cyclic_shift_col_modular_double()

◆ applyP_modular_double()

◆ fgetrsin_modular_double()

◆ fgetrs_modular_double()

◆ fgesvin_modular_double()

◆ fgesv_modular_double()

◆ ftrtri_modular_double()

◆ trinv_left_modular_double()

◆ ftrtrm_modular_double()

◆ PLUQ_modular_double()

◆ LUdivine_modular_double()

◆ LUdivine_small_modular_double()

◆ LUdivine_gauss_modular_double()

◆ ColumnEchelonForm_modular_double()

◆ RowEchelonForm_modular_double()

◆ ColumnEchelonForm_modular_float()

◆ RowEchelonForm_modular_float()

◆ ColumnEchelonForm_modular_int32_t()

◆ RowEchelonForm_modular_int32_t()

◆ ReducedColumnEchelonForm_modular_double()

◆ ReducedRowEchelonForm_modular_double()

◆ ReducedColumnEchelonForm_modular_float()

◆ ReducedRowEchelonForm_modular_float()

◆ ReducedColumnEchelonForm_modular_int32_t()

◆ ReducedRowEchelonForm_modular_int32_t()

◆ ReducedRowEchelonForm2_modular_double()

◆ REF_modular_double()

◆ Invertin_modular_double()

◆ Invert_modular_double()

◆ Invert2_modular_double()

◆ KrylovElim_modular_double()

◆ SpecRankProfile_modular_double()

◆ Rank_modular_double()

◆ IsSingular_modular_double()

◆ Det_modular_double()

◆ Solve_modular_double()

◆ solveLB_modular_double()

◆ solveLB2_modular_double()

◆ RandomNullSpaceVector_modular_double()

◆ NullSpaceBasis_modular_double()

◆ RowRankProfile_modular_double()

◆ ColumnRankProfile_modular_double()

◆ RankProfileFromLU()

◆ LeadingSubmatrixRankProfiles()

◆ RowRankProfileSubmatrixIndices_modular_double()

◆ ColRankProfileSubmatrixIndices_modular_double()

◆ RowRankProfileSubmatrix_modular_double()

◆ ColRankProfileSubmatrix_modular_double()

◆ getTriangular_modular_double()

◆ getTriangularin_modular_double()

◆ getEchelonForm_modular_double()

◆ getEchelonFormin_modular_double()

◆ getEchelonTransform_modular_double()

◆ getReducedEchelonForm_modular_double()