PaStiX Handbook: Low-rank update kernels

Data Structures
struct	core_clrmm_s
	Structure to store all the parameters of the core_clrmm family functions. More...

struct	core_slrmm_s
	Structure to store all the parameters of the core_slrmm family functions. More...

struct	core_dlrmm_s
	Structure to store all the parameters of the core_dlrmm family functions. More...

struct	core_zlrmm_s
	Structure to store all the parameters of the core_zlrmm family functions. More...

Functions
pastix_fixdbl_t	core_clrmm (core_clrmm_t *params)
	Compute the matrix matrix product when involved matrices are stored in a low-rank structure. More...

pastix_fixdbl_t	core_slrmm (core_slrmm_t *params)
	Compute the matrix matrix product when involved matrices are stored in a low-rank structure. More...

pastix_fixdbl_t	core_dlrmm (core_dlrmm_t *params)
	Compute the matrix matrix product when involved matrices are stored in a low-rank structure. More...

pastix_fixdbl_t	core_zlrmm (core_zlrmm_t *params)
	Compute the matrix matrix product when involved matrices are stored in a low-rank structure. More...

PastixComplex32 LRMM low-rank kernels
typedef struct core_clrmm_s	core_clrmm_t
	Structure to store all the parameters of the core_clrmm family functions.

static pastix_complex32_t *	core_clrmm_getws (core_clrmm_t *params, ssize_t newsize)
	Function to get a workspace pointer if space is available in the one provided. More...

#define	PASTE_CORE_CLRMM_PARAMS(_a_)
	Initialize all the parameters of the core_clrmm family functions to ease the access. More...

#define	PASTE_CORE_CLRMM_VOID
	Void all the parameters of the core_clrmm family functions to silent warnings. More...

PastixFloat LRMM low-rank kernels
typedef struct core_slrmm_s	core_slrmm_t
	Structure to store all the parameters of the core_slrmm family functions.

static float *	core_slrmm_getws (core_slrmm_t *params, ssize_t newsize)
	Function to get a workspace pointer if space is available in the one provided. More...

#define	PASTE_CORE_SLRMM_PARAMS(_a_)
	Initialize all the parameters of the core_slrmm family functions to ease the access. More...

#define	PASTE_CORE_SLRMM_VOID
	Void all the parameters of the core_slrmm family functions to silent warnings. More...

PastixDouble LRMM low-rank kernels
typedef struct core_dlrmm_s	core_dlrmm_t
	Structure to store all the parameters of the core_dlrmm family functions.

static double *	core_dlrmm_getws (core_dlrmm_t *params, ssize_t newsize)
	Function to get a workspace pointer if space is available in the one provided. More...

#define	PASTE_CORE_DLRMM_PARAMS(_a_)
	Initialize all the parameters of the core_dlrmm family functions to ease the access. More...

#define	PASTE_CORE_DLRMM_VOID
	Void all the parameters of the core_dlrmm family functions to silent warnings. More...

PastixComplex64 LRMM low-rank kernels
typedef struct core_zlrmm_s	core_zlrmm_t
	Structure to store all the parameters of the core_zlrmm family functions.

static pastix_complex64_t *	core_zlrmm_getws (core_zlrmm_t *params, ssize_t newsize)
	Function to get a workspace pointer if space is available in the one provided. More...

#define	PASTE_CORE_ZLRMM_PARAMS(_a_)
	Initialize all the parameters of the core_zlrmm family functions to ease the access. More...

#define	PASTE_CORE_ZLRMM_VOID
	Void all the parameters of the core_zlrmm family functions to silent warnings. More...

update_fr Functions to perform the update on a full-rank matrix
pastix_fixdbl_t	core_cfrfr2fr (core_clrmm_t *params)
	Perform the full-rank operation C = alpha * op(A) * op(B) + beta C. More...

pastix_fixdbl_t	core_cfrlr2fr (core_clrmm_t *params)
	Perform the operation C = alpha * op(A) * op(B) + beta C, with A and C full-rank and B low-rank. More...

pastix_fixdbl_t	core_clrfr2fr (core_clrmm_t *params)
	Perform the operation C = alpha * op(A) * op(B) + beta C, with B and C full-rank and A low-rank. More...

pastix_fixdbl_t	core_clrlr2fr (core_clrmm_t *params)
	Perform the operation C = alpha * op(A) * op(B) + beta C, with A and B low-rank and C full-rank. More...

update_lr Functions to prepare the AB product for an update on a low-rank matrix
pastix_fixdbl_t	core_cfrfr2lr (core_clrmm_t params, pastix_lrblock_t AB, int *infomask, pastix_int_t Kmax)
	Perform the operation AB = op(A) * op(B), with A and B full-rank and AB low-rank. More...

pastix_fixdbl_t	core_cfrlr2lr (core_clrmm_t params, pastix_lrblock_t AB, int *infomask, pastix_int_t Brkmin)
	Perform the operation AB = op(A) * op(B), with A full-rank and B and AB low-rank. More...

pastix_fixdbl_t	core_clrfr2lr (core_clrmm_t params, pastix_lrblock_t AB, int *infomask, pastix_int_t Arkmin)
	Perform the operation AB = op(A) * op(B), with B full-rank and A and AB low-rank. More...

pastix_fixdbl_t	core_clrlr2lr (core_clrmm_t params, pastix_lrblock_t AB, int *infomask)
	Perform the operation AB = op(A) * op(B), with A, B, and AB low-rank. More...

add_lr Functions to add the AB contribution in a low-rank format to any C matrix
pastix_fixdbl_t	core_clradd (core_clrmm_t params, const pastix_lrblock_t AB, pastix_trans_t transV, int infomask)
	Perform the addition of two low-rank matrices. More...

update_fr Functions to perform the update on a full-rank matrix
pastix_fixdbl_t	core_sfrfr2fr (core_slrmm_t *params)
	Perform the full-rank operation C = alpha * op(A) * op(B) + beta C. More...

pastix_fixdbl_t	core_sfrlr2fr (core_slrmm_t *params)
	Perform the operation C = alpha * op(A) * op(B) + beta C, with A and C full-rank and B low-rank. More...

pastix_fixdbl_t	core_slrfr2fr (core_slrmm_t *params)
	Perform the operation C = alpha * op(A) * op(B) + beta C, with B and C full-rank and A low-rank. More...

pastix_fixdbl_t	core_slrlr2fr (core_slrmm_t *params)
	Perform the operation C = alpha * op(A) * op(B) + beta C, with A and B low-rank and C full-rank. More...

update_lr Functions to prepare the AB product for an update on a low-rank matrix
pastix_fixdbl_t	core_sfrfr2lr (core_slrmm_t params, pastix_lrblock_t AB, int *infomask, pastix_int_t Kmax)
	Perform the operation AB = op(A) * op(B), with A and B full-rank and AB low-rank. More...

pastix_fixdbl_t	core_sfrlr2lr (core_slrmm_t params, pastix_lrblock_t AB, int *infomask, pastix_int_t Brkmin)
	Perform the operation AB = op(A) * op(B), with A full-rank and B and AB low-rank. More...

pastix_fixdbl_t	core_slrfr2lr (core_slrmm_t params, pastix_lrblock_t AB, int *infomask, pastix_int_t Arkmin)
	Perform the operation AB = op(A) * op(B), with B full-rank and A and AB low-rank. More...

pastix_fixdbl_t	core_slrlr2lr (core_slrmm_t params, pastix_lrblock_t AB, int *infomask)
	Perform the operation AB = op(A) * op(B), with A, B, and AB low-rank. More...

add_lr Functions to add the AB contribution in a low-rank format to any C matrix
pastix_fixdbl_t	core_slradd (core_slrmm_t params, const pastix_lrblock_t AB, pastix_trans_t transV, int infomask)
	Perform the addition of two low-rank matrices. More...

update_fr Functions to perform the update on a full-rank matrix
pastix_fixdbl_t	core_dfrfr2fr (core_dlrmm_t *params)
	Perform the full-rank operation C = alpha * op(A) * op(B) + beta C. More...

pastix_fixdbl_t	core_dfrlr2fr (core_dlrmm_t *params)
	Perform the operation C = alpha * op(A) * op(B) + beta C, with A and C full-rank and B low-rank. More...

pastix_fixdbl_t	core_dlrfr2fr (core_dlrmm_t *params)
	Perform the operation C = alpha * op(A) * op(B) + beta C, with B and C full-rank and A low-rank. More...

pastix_fixdbl_t	core_dlrlr2fr (core_dlrmm_t *params)
	Perform the operation C = alpha * op(A) * op(B) + beta C, with A and B low-rank and C full-rank. More...

update_lr Functions to prepare the AB product for an update on a low-rank matrix
pastix_fixdbl_t	core_dfrfr2lr (core_dlrmm_t params, pastix_lrblock_t AB, int *infomask, pastix_int_t Kmax)
	Perform the operation AB = op(A) * op(B), with A and B full-rank and AB low-rank. More...

pastix_fixdbl_t	core_dfrlr2lr (core_dlrmm_t params, pastix_lrblock_t AB, int *infomask, pastix_int_t Brkmin)
	Perform the operation AB = op(A) * op(B), with A full-rank and B and AB low-rank. More...

pastix_fixdbl_t	core_dlrfr2lr (core_dlrmm_t params, pastix_lrblock_t AB, int *infomask, pastix_int_t Arkmin)
	Perform the operation AB = op(A) * op(B), with B full-rank and A and AB low-rank. More...

pastix_fixdbl_t	core_dlrlr2lr (core_dlrmm_t params, pastix_lrblock_t AB, int *infomask)
	Perform the operation AB = op(A) * op(B), with A, B, and AB low-rank. More...

add_lr Functions to add the AB contribution in a low-rank format to any C matrix
pastix_fixdbl_t	core_dlradd (core_dlrmm_t params, const pastix_lrblock_t AB, pastix_trans_t transV, int infomask)
	Perform the addition of two low-rank matrices. More...

update_fr Functions to perform the update on a full-rank matrix
pastix_fixdbl_t	core_zfrfr2fr (core_zlrmm_t *params)
	Perform the full-rank operation C = alpha * op(A) * op(B) + beta C. More...

pastix_fixdbl_t	core_zfrlr2fr (core_zlrmm_t *params)
	Perform the operation C = alpha * op(A) * op(B) + beta C, with A and C full-rank and B low-rank. More...

pastix_fixdbl_t	core_zlrfr2fr (core_zlrmm_t *params)
	Perform the operation C = alpha * op(A) * op(B) + beta C, with B and C full-rank and A low-rank. More...

pastix_fixdbl_t	core_zlrlr2fr (core_zlrmm_t *params)
	Perform the operation C = alpha * op(A) * op(B) + beta C, with A and B low-rank and C full-rank. More...

update_lr Functions to prepare the AB product for an update on a low-rank matrix
pastix_fixdbl_t	core_zfrfr2lr (core_zlrmm_t params, pastix_lrblock_t AB, int *infomask, pastix_int_t Kmax)
	Perform the operation AB = op(A) * op(B), with A and B full-rank and AB low-rank. More...

pastix_fixdbl_t	core_zfrlr2lr (core_zlrmm_t params, pastix_lrblock_t AB, int *infomask, pastix_int_t Brkmin)
	Perform the operation AB = op(A) * op(B), with A full-rank and B and AB low-rank. More...

pastix_fixdbl_t	core_zlrfr2lr (core_zlrmm_t params, pastix_lrblock_t AB, int *infomask, pastix_int_t Arkmin)
	Perform the operation AB = op(A) * op(B), with B full-rank and A and AB low-rank. More...

pastix_fixdbl_t	core_zlrlr2lr (core_zlrmm_t params, pastix_lrblock_t AB, int *infomask)
	Perform the operation AB = op(A) * op(B), with A, B, and AB low-rank. More...

add_lr Functions to add the AB contribution in a low-rank format to any C matrix
pastix_fixdbl_t	core_zlradd (core_zlrmm_t params, const pastix_lrblock_t AB, pastix_trans_t transV, int infomask)
	Perform the addition of two low-rank matrices. More...

Detailed Description

This are the kernels to compute the low-rank updates

Data Type Documentation

◆ core_clrmm_s

struct core_clrmm_s

Structure to store all the parameters of the core_clrmm family functions.

Definition at line 80 of file pastix_clrcores.h.

Data Fields
const pastix_lr_t *	lowrank	The lowrank structure
pastix_trans_t	transA	Specify op(A) and is equal to PastixNoTrans, PastixTrans, or PastixConjTrans
pastix_trans_t	transB	Specify op(B) and is equal to PastixNoTrans, PastixTrans, or PastixConjTrans
pastix_int_t	M	Number of rows of the A matrix
pastix_int_t	N	Number of columns of the B matrix
pastix_int_t	K	Number of columns of the A matrix (= number of rows of the B matrix)
pastix_int_t	Cm	Number of rows of the C matrix that receives the AB contribution
pastix_int_t	Cn	Number of columns of the C matrix that receives the AB contribution
pastix_int_t	offx	Horizontal offsets of the AB product in the C matrix
pastix_int_t	offy	Vertical offsets of the AB product in the C matrix
pastix_complex32_t	alpha	The alpha factor
const pastix_lrblock_t *	A	The A matrix described in a low-rank structure
const pastix_lrblock_t *	B	The B matrix described in a low-rank structure
pastix_complex32_t	beta	The beta factor
pastix_lrblock_t *	C	The C matrix described in a low-rank structure
pastix_complex32_t *	work	The pointer to an available workspace
pastix_int_t	lwork	The size of the given workspace
pastix_int_t	lwused	The size of the workspace that is already used
pastix_atomic_lock_t *	lock	The lock to protect the concurrent accesses on the C matrix

◆ core_slrmm_s

struct core_slrmm_s

Structure to store all the parameters of the core_slrmm family functions.

Definition at line 80 of file pastix_slrcores.h.

Data Fields
const pastix_lr_t *	lowrank	The lowrank structure
pastix_trans_t	transA	Specify op(A) and is equal to PastixNoTrans, PastixTrans, or PastixTrans
pastix_trans_t	transB	Specify op(B) and is equal to PastixNoTrans, PastixTrans, or PastixTrans
pastix_int_t	M	Number of rows of the A matrix
pastix_int_t	N	Number of columns of the B matrix
pastix_int_t	K	Number of columns of the A matrix (= number of rows of the B matrix)
pastix_int_t	Cm	Number of rows of the C matrix that receives the AB contribution
pastix_int_t	Cn	Number of columns of the C matrix that receives the AB contribution
pastix_int_t	offx	Horizontal offsets of the AB product in the C matrix
pastix_int_t	offy	Vertical offsets of the AB product in the C matrix
float	alpha	The alpha factor
const pastix_lrblock_t *	A	The A matrix described in a low-rank structure
const pastix_lrblock_t *	B	The B matrix described in a low-rank structure
float	beta	The beta factor
pastix_lrblock_t *	C	The C matrix described in a low-rank structure
float *	work	The pointer to an available workspace
pastix_int_t	lwork	The size of the given workspace
pastix_int_t	lwused	The size of the workspace that is already used
pastix_atomic_lock_t *	lock	The lock to protect the concurrent accesses on the C matrix

◆ core_dlrmm_s

struct core_dlrmm_s

Structure to store all the parameters of the core_dlrmm family functions.

Definition at line 80 of file pastix_dlrcores.h.

Data Fields
const pastix_lr_t *	lowrank	The lowrank structure
pastix_trans_t	transA	Specify op(A) and is equal to PastixNoTrans, PastixTrans, or PastixTrans
pastix_trans_t	transB	Specify op(B) and is equal to PastixNoTrans, PastixTrans, or PastixTrans
pastix_int_t	M	Number of rows of the A matrix
pastix_int_t	N	Number of columns of the B matrix
pastix_int_t	K	Number of columns of the A matrix (= number of rows of the B matrix)
pastix_int_t	Cm	Number of rows of the C matrix that receives the AB contribution
pastix_int_t	Cn	Number of columns of the C matrix that receives the AB contribution
pastix_int_t	offx	Horizontal offsets of the AB product in the C matrix
pastix_int_t	offy	Vertical offsets of the AB product in the C matrix
double	alpha	The alpha factor
const pastix_lrblock_t *	A	The A matrix described in a low-rank structure
const pastix_lrblock_t *	B	The B matrix described in a low-rank structure
double	beta	The beta factor
pastix_lrblock_t *	C	The C matrix described in a low-rank structure
double *	work	The pointer to an available workspace
pastix_int_t	lwork	The size of the given workspace
pastix_int_t	lwused	The size of the workspace that is already used
pastix_atomic_lock_t *	lock	The lock to protect the concurrent accesses on the C matrix

◆ core_zlrmm_s

struct core_zlrmm_s

Structure to store all the parameters of the core_zlrmm family functions.

Definition at line 80 of file pastix_zlrcores.h.

Data Fields
const pastix_lr_t *	lowrank	The lowrank structure
pastix_trans_t	transA	Specify op(A) and is equal to PastixNoTrans, PastixTrans, or PastixConjTrans
pastix_trans_t	transB	Specify op(B) and is equal to PastixNoTrans, PastixTrans, or PastixConjTrans
pastix_int_t	M	Number of rows of the A matrix
pastix_int_t	N	Number of columns of the B matrix
pastix_int_t	K	Number of columns of the A matrix (= number of rows of the B matrix)
pastix_int_t	Cm	Number of rows of the C matrix that receives the AB contribution
pastix_int_t	Cn	Number of columns of the C matrix that receives the AB contribution
pastix_int_t	offx	Horizontal offsets of the AB product in the C matrix
pastix_int_t	offy	Vertical offsets of the AB product in the C matrix
pastix_complex64_t	alpha	The alpha factor
const pastix_lrblock_t *	A	The A matrix described in a low-rank structure
const pastix_lrblock_t *	B	The B matrix described in a low-rank structure
pastix_complex64_t	beta	The beta factor
pastix_lrblock_t *	C	The C matrix described in a low-rank structure
pastix_complex64_t *	work	The pointer to an available workspace
pastix_int_t	lwork	The size of the given workspace
pastix_int_t	lwused	The size of the workspace that is already used
pastix_atomic_lock_t *	lock	The lock to protect the concurrent accesses on the C matrix

Macro Definition Documentation

◆ PASTE_CORE_CLRMM_PARAMS

#define PASTE_CORE_CLRMM_PARAMS ( _a_ )

Value:

    const pastix_lr_t      *lowrank = (_a_)->lowrank;  \
    pastix_trans_t          transA  = (_a_)->transA;   \
    pastix_trans_t          transB  = (_a_)->transB;   \
    pastix_int_t            M       = (_a_)->M;        \
    pastix_int_t            N       = (_a_)->N;        \
    pastix_int_t            K       = (_a_)->K;        \
    pastix_int_t            Cm      = (_a_)->Cm;       \
    pastix_int_t            Cn      = (_a_)->Cn;       \
    pastix_int_t            offx    = (_a_)->offx;     \
    pastix_int_t            offy    = (_a_)->offy;     \
    pastix_complex32_t      alpha   = (_a_)->alpha;    \
    const pastix_lrblock_t *A       = (_a_)->A;        \
    const pastix_lrblock_t *B       = (_a_)->B;        \
    pastix_complex32_t      beta    = (_a_)->beta;     \
    pastix_lrblock_t       *C       = (_a_)->C;        \
    pastix_complex32_t     *work    = (_a_)->work;     \
    pastix_int_t            lwork   = (_a_)->lwork;    \
    pastix_atomic_lock_t   *lock    = (_a_)->lock;

Initialize all the parameters of the core_clrmm family functions to ease the access.

Definition at line 105 of file pastix_clrcores.h.

◆ PASTE_CORE_CLRMM_VOID

#define PASTE_CORE_CLRMM_VOID

Value:

    (void)lowrank;                              \
    (void)transA;                               \
    (void)transB;                               \
    (void)M;                                    \
    (void)N;                                    \
    (void)K;                                    \
    (void)Cm;                                   \
    (void)Cn;                                   \
    (void)offx;                                 \
    (void)offy;                                 \
    (void)alpha;                                \
    (void)A;                                    \
    (void)B;                                    \
    (void)beta;                                 \
    (void)C;                                    \
    (void)work;                                 \
    (void)lwork;                                \
    (void)lock

Void all the parameters of the core_clrmm family functions to silent warnings.

Definition at line 128 of file pastix_clrcores.h.

◆ PASTE_CORE_SLRMM_PARAMS

#define PASTE_CORE_SLRMM_PARAMS ( _a_ )

Value:

    const pastix_lr_t      *lowrank = (_a_)->lowrank;  \
    pastix_trans_t          transA  = (_a_)->transA;   \
    pastix_trans_t          transB  = (_a_)->transB;   \
    pastix_int_t            M       = (_a_)->M;        \
    pastix_int_t            N       = (_a_)->N;        \
    pastix_int_t            K       = (_a_)->K;        \
    pastix_int_t            Cm      = (_a_)->Cm;       \
    pastix_int_t            Cn      = (_a_)->Cn;       \
    pastix_int_t            offx    = (_a_)->offx;     \
    pastix_int_t            offy    = (_a_)->offy;     \
    float      alpha   = (_a_)->alpha;    \
    const pastix_lrblock_t *A       = (_a_)->A;        \
    const pastix_lrblock_t *B       = (_a_)->B;        \
    float      beta    = (_a_)->beta;     \
    pastix_lrblock_t       *C       = (_a_)->C;        \
    float     *work    = (_a_)->work;     \
    pastix_int_t            lwork   = (_a_)->lwork;    \
    pastix_atomic_lock_t   *lock    = (_a_)->lock;

Initialize all the parameters of the core_slrmm family functions to ease the access.

Definition at line 105 of file pastix_slrcores.h.

◆ PASTE_CORE_SLRMM_VOID

#define PASTE_CORE_SLRMM_VOID

Value:

    (void)lowrank;                              \
    (void)transA;                               \
    (void)transB;                               \
    (void)M;                                    \
    (void)N;                                    \
    (void)K;                                    \
    (void)Cm;                                   \
    (void)Cn;                                   \
    (void)offx;                                 \
    (void)offy;                                 \
    (void)alpha;                                \
    (void)A;                                    \
    (void)B;                                    \
    (void)beta;                                 \
    (void)C;                                    \
    (void)work;                                 \
    (void)lwork;                                \
    (void)lock

Void all the parameters of the core_slrmm family functions to silent warnings.

Definition at line 128 of file pastix_slrcores.h.

◆ PASTE_CORE_DLRMM_PARAMS

#define PASTE_CORE_DLRMM_PARAMS ( _a_ )

Value:

    const pastix_lr_t      *lowrank = (_a_)->lowrank;  \
    pastix_trans_t          transA  = (_a_)->transA;   \
    pastix_trans_t          transB  = (_a_)->transB;   \
    pastix_int_t            M       = (_a_)->M;        \
    pastix_int_t            N       = (_a_)->N;        \
    pastix_int_t            K       = (_a_)->K;        \
    pastix_int_t            Cm      = (_a_)->Cm;       \
    pastix_int_t            Cn      = (_a_)->Cn;       \
    pastix_int_t            offx    = (_a_)->offx;     \
    pastix_int_t            offy    = (_a_)->offy;     \
    double      alpha   = (_a_)->alpha;    \
    const pastix_lrblock_t *A       = (_a_)->A;        \
    const pastix_lrblock_t *B       = (_a_)->B;        \
    double      beta    = (_a_)->beta;     \
    pastix_lrblock_t       *C       = (_a_)->C;        \
    double     *work    = (_a_)->work;     \
    pastix_int_t            lwork   = (_a_)->lwork;    \
    pastix_atomic_lock_t   *lock    = (_a_)->lock;

Initialize all the parameters of the core_dlrmm family functions to ease the access.

Definition at line 105 of file pastix_dlrcores.h.

◆ PASTE_CORE_DLRMM_VOID

#define PASTE_CORE_DLRMM_VOID

Value:

    (void)lowrank;                              \
    (void)transA;                               \
    (void)transB;                               \
    (void)M;                                    \
    (void)N;                                    \
    (void)K;                                    \
    (void)Cm;                                   \
    (void)Cn;                                   \
    (void)offx;                                 \
    (void)offy;                                 \
    (void)alpha;                                \
    (void)A;                                    \
    (void)B;                                    \
    (void)beta;                                 \
    (void)C;                                    \
    (void)work;                                 \
    (void)lwork;                                \
    (void)lock

Void all the parameters of the core_dlrmm family functions to silent warnings.

Definition at line 128 of file pastix_dlrcores.h.

◆ PASTE_CORE_ZLRMM_PARAMS

#define PASTE_CORE_ZLRMM_PARAMS ( _a_ )

Value:

    const pastix_lr_t      *lowrank = (_a_)->lowrank;  \
    pastix_trans_t          transA  = (_a_)->transA;   \
    pastix_trans_t          transB  = (_a_)->transB;   \
    pastix_int_t            M       = (_a_)->M;        \
    pastix_int_t            N       = (_a_)->N;        \
    pastix_int_t            K       = (_a_)->K;        \
    pastix_int_t            Cm      = (_a_)->Cm;       \
    pastix_int_t            Cn      = (_a_)->Cn;       \
    pastix_int_t            offx    = (_a_)->offx;     \
    pastix_int_t            offy    = (_a_)->offy;     \
    pastix_complex64_t      alpha   = (_a_)->alpha;    \
    const pastix_lrblock_t *A       = (_a_)->A;        \
    const pastix_lrblock_t *B       = (_a_)->B;        \
    pastix_complex64_t      beta    = (_a_)->beta;     \
    pastix_lrblock_t       *C       = (_a_)->C;        \
    pastix_complex64_t     *work    = (_a_)->work;     \
    pastix_int_t            lwork   = (_a_)->lwork;    \
    pastix_atomic_lock_t   *lock    = (_a_)->lock;

Initialize all the parameters of the core_zlrmm family functions to ease the access.

Definition at line 105 of file pastix_zlrcores.h.

◆ PASTE_CORE_ZLRMM_VOID

#define PASTE_CORE_ZLRMM_VOID

Value:

    (void)lowrank;                              \
    (void)transA;                               \
    (void)transB;                               \
    (void)M;                                    \
    (void)N;                                    \
    (void)K;                                    \
    (void)Cm;                                   \
    (void)Cn;                                   \
    (void)offx;                                 \
    (void)offy;                                 \
    (void)alpha;                                \
    (void)A;                                    \
    (void)B;                                    \
    (void)beta;                                 \
    (void)C;                                    \
    (void)work;                                 \
    (void)lwork;                                \
    (void)lock

Void all the parameters of the core_zlrmm family functions to silent warnings.

Definition at line 128 of file pastix_zlrcores.h.

Function Documentation

◆ core_clrmm_getws()

static pastix_complex32_t* core_clrmm_getws	(	core_clrmm_t *	params,
		ssize_t	newsize
	)

inlinestatic

Function to get a workspace pointer if space is available in the one provided.

Parameters

[in,out]	params	The parameters structure for core_clrmm family functions
[in]	newsize	The required workspace size in number of elements

Returns: The pointer to the workspace if enough space available, NULL otherwise.

Definition at line 155 of file pastix_clrcores.h.

References core_clrmm_s::lwork, core_clrmm_s::lwused, and core_clrmm_s::work.

Referenced by core_cfrfr2lr(), core_cfrlr2fr(), core_cfrlr2lr(), core_clr2lr(), core_clr2null(), core_clrfr2fr(), core_clrfr2lr(), and core_clrlr2lr().

◆ core_cfrfr2fr()

pastix_fixdbl_t core_cfrfr2fr ( core_clrmm_t * params )

Perform the full-rank operation C = alpha * op(A) * op(B) + beta C.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_clrmm_t

Returns: The number of flops required to perform the operation.

Definition at line 48 of file core_cxx2fr.c.

References PASTE_CORE_CLRMM_PARAMS, PASTE_CORE_CLRMM_VOID, pastix_int_t, and PastixNoTrans.

◆ core_cfrlr2fr()

pastix_fixdbl_t core_cfrlr2fr ( core_clrmm_t * params )

Perform the operation C = alpha * op(A) * op(B) + beta C, with A and C full-rank and B low-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_clrmm_t

Returns: The number of flops required to perform the operation.

Definition at line 101 of file core_cxx2fr.c.

References core_clrmm_getws(), PASTE_CORE_CLRMM_PARAMS, PASTE_CORE_CLRMM_VOID, pastix_int_t, and PastixNoTrans.

◆ core_clrfr2fr()

pastix_fixdbl_t core_clrfr2fr ( core_clrmm_t * params )

Perform the operation C = alpha * op(A) * op(B) + beta C, with B and C full-rank and A low-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_clrmm_t

Returns: The number of flops required to perform the operation.

Definition at line 202 of file core_cxx2fr.c.

References core_clrmm_getws(), PASTE_CORE_CLRMM_PARAMS, PASTE_CORE_CLRMM_VOID, pastix_int_t, and PastixNoTrans.

◆ core_clrlr2fr()

pastix_fixdbl_t core_clrlr2fr ( core_clrmm_t * params )

Perform the operation C = alpha * op(A) * op(B) + beta C, with A and B low-rank and C full-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_clrmm_t

Returns: The number of flops required to perform the operation.

Definition at line 304 of file core_cxx2fr.c.

References core_clrlr2lr(), PASTE_CORE_CLRMM_PARAMS, PASTE_CORE_CLRMM_VOID, pastix_int_t, PASTIX_LRM3_ALLOCU, PASTIX_LRM3_ALLOCV, PASTIX_LRM3_TRANSB, PastixNoTrans, pastix_lrblock_s::rk, pastix_lrblock_s::rkmax, pastix_lrblock_s::u, and pastix_lrblock_s::v.

◆ core_cfrfr2lr()

pastix_fixdbl_t core_cfrfr2lr	(	core_clrmm_t *	params,
		pastix_lrblock_t *	AB,
		int *	infomask,
		pastix_int_t	Kmax
	)

Perform the operation AB = op(A) * op(B), with A and B full-rank and AB low-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_clrmm_t

Parameters

[in,out]	AB	The low-rank structure of the AB matrix in which to store the AB product.
[in,out]	infomask	The mask of informations returned by the core_cxx2lr() functions. If AB.u is orthogonal on exit, then PASTIX_LRM3_ORTHOU is set. If AB.u is allocated, then PASTIX_LRM3_ALLOCU is set. If AB.v is allocated, then PASTIX_LRM3_ALLOCV is set. If AB.v is inistialized as one of the given pointer and op(B) is not applyed, then PASTIX_LRM3_TRANSB is set.
[in]	Kmax	The maximum K value for which the AB product is contructed as AB.u = A, and AB.v = B

Returns: The number of flops required to perform the operation.

Definition at line 66 of file core_cxx2lr.c.

References core_clrmm_getws(), PASTE_CORE_CLRMM_PARAMS, PASTE_CORE_CLRMM_VOID, pastix_int_t, PASTIX_LRM3_ALLOCU, PASTIX_LRM3_TRANSB, PastixNoTrans, pastix_lrblock_s::rk, pastix_lrblock_s::rkmax, pastix_lrblock_s::u, and pastix_lrblock_s::v.

◆ core_cfrlr2lr()

pastix_fixdbl_t core_cfrlr2lr	(	core_clrmm_t *	params,
		pastix_lrblock_t *	AB,
		int *	infomask,
		pastix_int_t	Brkmin
	)

Perform the operation AB = op(A) * op(B), with A full-rank and B and AB low-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_clrmm_t

Parameters

[in,out]	AB	The low-rank structure of the AB matrix in which to store the AB product.
[in,out]	infomask	The mask of informations returned by the core_cxx2lr() functions. If AB.u is orthogonal on exit, then PASTIX_LRM3_ORTHOU is set. If AB.u is allocated, then PASTIX_LRM3_ALLOCU is set. If AB.v is allocated, then PASTIX_LRM3_ALLOCV is set. If AB.v is inistialized as one of the given pointer and op(B) is not applyed, then PASTIX_LRM3_TRANSB is set.
[in]	Brkmin	Threshold for which B->rk is considered as the final rank of AB

Returns: The number of flops required to perform the operation.

Definition at line 152 of file core_cxx2lr.c.

◆ core_clrfr2lr()

pastix_fixdbl_t core_clrfr2lr	(	core_clrmm_t *	params,
		pastix_lrblock_t *	AB,
		int *	infomask,
		pastix_int_t	Arkmin
	)

Perform the operation AB = op(A) * op(B), with B full-rank and A and AB low-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_clrmm_t

Parameters

[in,out]	AB	The low-rank structure of the AB matrix in which to store the AB product.
[in,out]	infomask	The mask of informations returned by the core_cxx2lr() functions. If AB.u is orthogonal on exit, then PASTIX_LRM3_ORTHOU is set. If AB.u is allocated, then PASTIX_LRM3_ALLOCU is set. If AB.v is allocated, then PASTIX_LRM3_ALLOCV is set. If AB.v is inistialized as one of the given pointer and op(B) is not applyed, then PASTIX_LRM3_TRANSB is set.
[in]	Arkmin	Threshold for which A->rk is considered as the final rank of AB

Returns: The number of flops required to perform the operation.

Definition at line 298 of file core_cxx2lr.c.

References core_clrmm_getws(), PASTE_CORE_CLRMM_PARAMS, PASTE_CORE_CLRMM_VOID, pastix_int_t, PASTIX_LRM3_ALLOCU, PASTIX_LRM3_ALLOCV, PASTIX_LRM3_ORTHOU, PastixNoTrans, pastix_lrblock_s::rk, pastix_lrblock_s::rkmax, pastix_lrblock_s::u, and pastix_lrblock_s::v.

◆ core_clrlr2lr()

pastix_fixdbl_t core_clrlr2lr	(	core_clrmm_t *	params,
		pastix_lrblock_t *	AB,
		int *	infomask
	)

Perform the operation AB = op(A) * op(B), with A, B, and AB low-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_clrmm_t

Parameters

[in,out]	AB	The low-rank structure of the AB matrix in which to store the AB product.
[in,out]	infomask	The mask of informations returned by the core_cxx2lr() functions. If AB.u is orthogonal on exit, then PASTIX_LRM3_ORTHOU is set. If AB.u is allocated, then PASTIX_LRM3_ALLOCU is set. If AB.v is allocated, then PASTIX_LRM3_ALLOCV is set. If AB.v is inistialized as one of the given pointer and op(B) is not applyed, then PASTIX_LRM3_TRANSB is set.

Returns: The number of flops required to perform the operation.

The rank of AB is smaller than min(rankA, rankB)

Definition at line 442 of file core_cxx2lr.c.

References core_clrfree(), core_clrmm_getws(), PASTE_CORE_CLRMM_PARAMS, PASTE_CORE_CLRMM_VOID, pastix_int_t, PASTIX_LRM3_ALLOCU, PASTIX_LRM3_ALLOCV, PASTIX_LRM3_ORTHOU, PASTIX_LRM3_TRANSB, PastixNoTrans, pastix_lrblock_s::rk, pastix_lrblock_s::rkmax, pastix_lrblock_s::u, and pastix_lrblock_s::v.

Referenced by core_clrlr2fr().

◆ core_clradd()

pastix_fixdbl_t core_clradd	(	core_clrmm_t *	params,
		const pastix_lrblock_t *	A,
		pastix_trans_t	transV,
		int	infomask
	)

Perform the addition of two low-rank matrices.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the addition of C and A aligned with its own dimensions.

See also: core_clrmm_t

Parameters

[in]	A	The low-rank structure of the A matrix to add to C.
[in]	transV	Specify if A->v is stored normally or transposed. If PastixNoTrans, AB->v is stored normally for low-rank format. If PastixTrans, AB->v is stored transposed. If PastixConjTrans, AB->v is stored transposed, and conjf() must be applied to the matrix.
[in]	infomask	Mask of informations returned by the core_cxx2lr() functions. If CORE_LRMM_ORTHOU is set, then A.u is orthogonal, otherwise an orthogonalization step is added before adding it to C.

Returns: The number of flops required to perform the operation.

Definition at line 383 of file core_clr2xx.c.

References core_clrmm_s::C, core_clr2fr(), core_clr2lr(), core_clr2null(), core_clrmm_s::lock, pastix_lrblock_s::rk, and pastix_lrblock_s::rkmax.

Referenced by cpublok_cadd_frlr(), cpublok_cadd_lrlr(), cpucblk_cadd_frlr(), and cpucblk_cadd_lrlr().

◆ core_clrmm()

pastix_fixdbl_t core_clrmm ( core_clrmm_t * params )

Compute the matrix matrix product when involved matrices are stored in a low-rank structure.

This function considers the generic matrix matrix product added to a third matric C. All matrices are either null, low-rank or full-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family.

See also: core_clrmm_t

Returns: The number of flops required to perform the operation.

Definition at line 278 of file core_clrmm.c.

References core_clrdbg_check_orthogonality(), core_clrmm_Cfr(), core_clrmm_Clr(), core_clrmm_Cnull(), core_clrmm_s::lwused, PASTE_CORE_CLRMM_PARAMS, PASTE_CORE_CLRMM_VOID, PastixCompressMethodSVD, PastixNoTrans, and core_clrmm_s::work.

Referenced by core_cgemmsp_block_frlr(), core_cgemmsp_block_lrlr(), core_cgemmsp_fulllr(), core_cgemmsp_lr(), and core_cgemmsp_lrfr().

◆ core_slrmm_getws()

static float* core_slrmm_getws	(	core_slrmm_t *	params,
		ssize_t	newsize
	)

inlinestatic

Function to get a workspace pointer if space is available in the one provided.

Parameters

[in,out]	params	The parameters structure for core_slrmm family functions
[in]	newsize	The required workspace size in number of elements

Returns: The pointer to the workspace if enough space available, NULL otherwise.

Definition at line 155 of file pastix_slrcores.h.

References core_slrmm_s::lwork, core_slrmm_s::lwused, and core_slrmm_s::work.

Referenced by core_sfrfr2lr(), core_sfrlr2fr(), core_sfrlr2lr(), core_slr2lr(), core_slr2null(), core_slrfr2fr(), core_slrfr2lr(), and core_slrlr2lr().

◆ core_sfrfr2fr()

pastix_fixdbl_t core_sfrfr2fr ( core_slrmm_t * params )

Perform the full-rank operation C = alpha * op(A) * op(B) + beta C.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_slrmm_t

Returns: The number of flops required to perform the operation.

Definition at line 48 of file core_sxx2fr.c.

References PASTE_CORE_SLRMM_PARAMS, PASTE_CORE_SLRMM_VOID, pastix_int_t, and PastixNoTrans.

◆ core_sfrlr2fr()

pastix_fixdbl_t core_sfrlr2fr ( core_slrmm_t * params )

Perform the operation C = alpha * op(A) * op(B) + beta C, with A and C full-rank and B low-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_slrmm_t

Returns: The number of flops required to perform the operation.

Definition at line 101 of file core_sxx2fr.c.

References core_slrmm_getws(), PASTE_CORE_SLRMM_PARAMS, PASTE_CORE_SLRMM_VOID, pastix_int_t, and PastixNoTrans.

◆ core_slrfr2fr()

pastix_fixdbl_t core_slrfr2fr ( core_slrmm_t * params )

Perform the operation C = alpha * op(A) * op(B) + beta C, with B and C full-rank and A low-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_slrmm_t

Returns: The number of flops required to perform the operation.

Definition at line 202 of file core_sxx2fr.c.

References core_slrmm_getws(), PASTE_CORE_SLRMM_PARAMS, PASTE_CORE_SLRMM_VOID, pastix_int_t, and PastixNoTrans.

◆ core_slrlr2fr()

pastix_fixdbl_t core_slrlr2fr ( core_slrmm_t * params )

Perform the operation C = alpha * op(A) * op(B) + beta C, with A and B low-rank and C full-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_slrmm_t

Returns: The number of flops required to perform the operation.

Definition at line 304 of file core_sxx2fr.c.

References core_slrlr2lr(), PASTE_CORE_SLRMM_PARAMS, PASTE_CORE_SLRMM_VOID, pastix_int_t, PASTIX_LRM3_ALLOCU, PASTIX_LRM3_ALLOCV, PASTIX_LRM3_TRANSB, PastixNoTrans, pastix_lrblock_s::rk, pastix_lrblock_s::rkmax, pastix_lrblock_s::u, and pastix_lrblock_s::v.

◆ core_sfrfr2lr()

pastix_fixdbl_t core_sfrfr2lr	(	core_slrmm_t *	params,
		pastix_lrblock_t *	AB,
		int *	infomask,
		pastix_int_t	Kmax
	)

Perform the operation AB = op(A) * op(B), with A and B full-rank and AB low-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_slrmm_t

Parameters

[in,out]	AB	The low-rank structure of the AB matrix in which to store the AB product.
[in,out]	infomask	The mask of informations returned by the core_sxx2lr() functions. If AB.u is orthogonal on exit, then PASTIX_LRM3_ORTHOU is set. If AB.u is allocated, then PASTIX_LRM3_ALLOCU is set. If AB.v is allocated, then PASTIX_LRM3_ALLOCV is set. If AB.v is inistialized as one of the given pointer and op(B) is not applyed, then PASTIX_LRM3_TRANSB is set.
[in]	Kmax	The maximum K value for which the AB product is contructed as AB.u = A, and AB.v = B

Returns: The number of flops required to perform the operation.

Definition at line 66 of file core_sxx2lr.c.

References core_slrmm_getws(), PASTE_CORE_SLRMM_PARAMS, PASTE_CORE_SLRMM_VOID, pastix_int_t, PASTIX_LRM3_ALLOCU, PASTIX_LRM3_TRANSB, PastixNoTrans, pastix_lrblock_s::rk, pastix_lrblock_s::rkmax, pastix_lrblock_s::u, and pastix_lrblock_s::v.

◆ core_sfrlr2lr()

pastix_fixdbl_t core_sfrlr2lr	(	core_slrmm_t *	params,
		pastix_lrblock_t *	AB,
		int *	infomask,
		pastix_int_t	Brkmin
	)

Perform the operation AB = op(A) * op(B), with A full-rank and B and AB low-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_slrmm_t

Parameters

[in,out]	AB	The low-rank structure of the AB matrix in which to store the AB product.
[in,out]	infomask	The mask of informations returned by the core_sxx2lr() functions. If AB.u is orthogonal on exit, then PASTIX_LRM3_ORTHOU is set. If AB.u is allocated, then PASTIX_LRM3_ALLOCU is set. If AB.v is allocated, then PASTIX_LRM3_ALLOCV is set. If AB.v is inistialized as one of the given pointer and op(B) is not applyed, then PASTIX_LRM3_TRANSB is set.
[in]	Brkmin	Threshold for which B->rk is considered as the final rank of AB

Returns: The number of flops required to perform the operation.

Definition at line 152 of file core_sxx2lr.c.

◆ core_slrfr2lr()

pastix_fixdbl_t core_slrfr2lr	(	core_slrmm_t *	params,
		pastix_lrblock_t *	AB,
		int *	infomask,
		pastix_int_t	Arkmin
	)

Perform the operation AB = op(A) * op(B), with B full-rank and A and AB low-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_slrmm_t

Parameters

[in,out]	AB	The low-rank structure of the AB matrix in which to store the AB product.
[in,out]	infomask	The mask of informations returned by the core_sxx2lr() functions. If AB.u is orthogonal on exit, then PASTIX_LRM3_ORTHOU is set. If AB.u is allocated, then PASTIX_LRM3_ALLOCU is set. If AB.v is allocated, then PASTIX_LRM3_ALLOCV is set. If AB.v is inistialized as one of the given pointer and op(B) is not applyed, then PASTIX_LRM3_TRANSB is set.
[in]	Arkmin	Threshold for which A->rk is considered as the final rank of AB

Returns: The number of flops required to perform the operation.

Definition at line 298 of file core_sxx2lr.c.

References core_slrmm_getws(), PASTE_CORE_SLRMM_PARAMS, PASTE_CORE_SLRMM_VOID, pastix_int_t, PASTIX_LRM3_ALLOCU, PASTIX_LRM3_ALLOCV, PASTIX_LRM3_ORTHOU, PastixNoTrans, pastix_lrblock_s::rk, pastix_lrblock_s::rkmax, pastix_lrblock_s::u, and pastix_lrblock_s::v.

◆ core_slrlr2lr()

pastix_fixdbl_t core_slrlr2lr	(	core_slrmm_t *	params,
		pastix_lrblock_t *	AB,
		int *	infomask
	)

Perform the operation AB = op(A) * op(B), with A, B, and AB low-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_slrmm_t

Parameters

[in,out]	AB	The low-rank structure of the AB matrix in which to store the AB product.
[in,out]	infomask	The mask of informations returned by the core_sxx2lr() functions. If AB.u is orthogonal on exit, then PASTIX_LRM3_ORTHOU is set. If AB.u is allocated, then PASTIX_LRM3_ALLOCU is set. If AB.v is allocated, then PASTIX_LRM3_ALLOCV is set. If AB.v is inistialized as one of the given pointer and op(B) is not applyed, then PASTIX_LRM3_TRANSB is set.

Returns: The number of flops required to perform the operation.

The rank of AB is smaller than min(rankA, rankB)

Definition at line 442 of file core_sxx2lr.c.

References core_slrfree(), core_slrmm_getws(), PASTE_CORE_SLRMM_PARAMS, PASTE_CORE_SLRMM_VOID, pastix_int_t, PASTIX_LRM3_ALLOCU, PASTIX_LRM3_ALLOCV, PASTIX_LRM3_ORTHOU, PASTIX_LRM3_TRANSB, PastixNoTrans, pastix_lrblock_s::rk, pastix_lrblock_s::rkmax, pastix_lrblock_s::u, and pastix_lrblock_s::v.

Referenced by core_slrlr2fr().

◆ core_slradd()

pastix_fixdbl_t core_slradd	(	core_slrmm_t *	params,
		const pastix_lrblock_t *	A,
		pastix_trans_t	transV,
		int	infomask
	)

Perform the addition of two low-rank matrices.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the addition of C and A aligned with its own dimensions.

See also: core_slrmm_t

Parameters

[in]	A	The low-rank structure of the A matrix to add to C.
[in]	transV	Specify if A->v is stored normally or transposed. If PastixNoTrans, AB->v is stored normally for low-rank format. If PastixTrans, AB->v is stored transposed. If PastixTrans, AB->v is stored transposed, and () must be applied to the matrix.
[in]	infomask	Mask of informations returned by the core_sxx2lr() functions. If CORE_LRMM_ORTHOU is set, then A.u is orthogonal, otherwise an orthogonalization step is added before adding it to C.

Returns: The number of flops required to perform the operation.

Definition at line 383 of file core_slr2xx.c.

References core_slrmm_s::C, core_slr2fr(), core_slr2lr(), core_slr2null(), core_slrmm_s::lock, pastix_lrblock_s::rk, and pastix_lrblock_s::rkmax.

Referenced by cpublok_sadd_frlr(), cpublok_sadd_lrlr(), cpucblk_sadd_frlr(), and cpucblk_sadd_lrlr().

◆ core_slrmm()

pastix_fixdbl_t core_slrmm ( core_slrmm_t * params )

Compute the matrix matrix product when involved matrices are stored in a low-rank structure.

This function considers the generic matrix matrix product added to a third matric C. All matrices are either null, low-rank or full-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family.

See also: core_slrmm_t

Returns: The number of flops required to perform the operation.

Definition at line 278 of file core_slrmm.c.

References core_slrdbg_check_orthogonality(), core_slrmm_Cfr(), core_slrmm_Clr(), core_slrmm_Cnull(), core_slrmm_s::lwused, PASTE_CORE_SLRMM_PARAMS, PASTE_CORE_SLRMM_VOID, PastixCompressMethodSVD, PastixNoTrans, and core_slrmm_s::work.

Referenced by core_sgemmsp_block_frlr(), core_sgemmsp_block_lrlr(), core_sgemmsp_fulllr(), core_sgemmsp_lr(), and core_sgemmsp_lrfr().

◆ core_dlrmm_getws()

static double* core_dlrmm_getws	(	core_dlrmm_t *	params,
		ssize_t	newsize
	)

inlinestatic

Function to get a workspace pointer if space is available in the one provided.

Parameters

[in,out]	params	The parameters structure for core_dlrmm family functions
[in]	newsize	The required workspace size in number of elements

Returns: The pointer to the workspace if enough space available, NULL otherwise.

Definition at line 155 of file pastix_dlrcores.h.

References core_dlrmm_s::lwork, core_dlrmm_s::lwused, and core_dlrmm_s::work.

Referenced by core_dfrfr2lr(), core_dfrlr2fr(), core_dfrlr2lr(), core_dlr2lr(), core_dlr2null(), core_dlrfr2fr(), core_dlrfr2lr(), and core_dlrlr2lr().

◆ core_dfrfr2fr()

pastix_fixdbl_t core_dfrfr2fr ( core_dlrmm_t * params )

Perform the full-rank operation C = alpha * op(A) * op(B) + beta C.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_dlrmm_t

Returns: The number of flops required to perform the operation.

Definition at line 48 of file core_dxx2fr.c.

References PASTE_CORE_DLRMM_PARAMS, PASTE_CORE_DLRMM_VOID, pastix_int_t, and PastixNoTrans.

◆ core_dfrlr2fr()

pastix_fixdbl_t core_dfrlr2fr ( core_dlrmm_t * params )

Perform the operation C = alpha * op(A) * op(B) + beta C, with A and C full-rank and B low-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_dlrmm_t

Returns: The number of flops required to perform the operation.

Definition at line 101 of file core_dxx2fr.c.

References core_dlrmm_getws(), PASTE_CORE_DLRMM_PARAMS, PASTE_CORE_DLRMM_VOID, pastix_int_t, and PastixNoTrans.

◆ core_dlrfr2fr()

pastix_fixdbl_t core_dlrfr2fr ( core_dlrmm_t * params )

Perform the operation C = alpha * op(A) * op(B) + beta C, with B and C full-rank and A low-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_dlrmm_t

Returns: The number of flops required to perform the operation.

Definition at line 202 of file core_dxx2fr.c.

References core_dlrmm_getws(), PASTE_CORE_DLRMM_PARAMS, PASTE_CORE_DLRMM_VOID, pastix_int_t, and PastixNoTrans.

◆ core_dlrlr2fr()

pastix_fixdbl_t core_dlrlr2fr ( core_dlrmm_t * params )

Perform the operation C = alpha * op(A) * op(B) + beta C, with A and B low-rank and C full-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_dlrmm_t

Returns: The number of flops required to perform the operation.

Definition at line 304 of file core_dxx2fr.c.

References core_dlrlr2lr(), PASTE_CORE_DLRMM_PARAMS, PASTE_CORE_DLRMM_VOID, pastix_int_t, PASTIX_LRM3_ALLOCU, PASTIX_LRM3_ALLOCV, PASTIX_LRM3_TRANSB, PastixNoTrans, pastix_lrblock_s::rk, pastix_lrblock_s::rkmax, pastix_lrblock_s::u, and pastix_lrblock_s::v.

◆ core_dfrfr2lr()

pastix_fixdbl_t core_dfrfr2lr	(	core_dlrmm_t *	params,
		pastix_lrblock_t *	AB,
		int *	infomask,
		pastix_int_t	Kmax
	)

Perform the operation AB = op(A) * op(B), with A and B full-rank and AB low-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_dlrmm_t

Parameters

[in,out]	AB	The low-rank structure of the AB matrix in which to store the AB product.
[in,out]	infomask	The mask of informations returned by the core_dxx2lr() functions. If AB.u is orthogonal on exit, then PASTIX_LRM3_ORTHOU is set. If AB.u is allocated, then PASTIX_LRM3_ALLOCU is set. If AB.v is allocated, then PASTIX_LRM3_ALLOCV is set. If AB.v is inistialized as one of the given pointer and op(B) is not applyed, then PASTIX_LRM3_TRANSB is set.
[in]	Kmax	The maximum K value for which the AB product is contructed as AB.u = A, and AB.v = B

Returns: The number of flops required to perform the operation.

Definition at line 66 of file core_dxx2lr.c.

References core_dlrmm_getws(), PASTE_CORE_DLRMM_PARAMS, PASTE_CORE_DLRMM_VOID, pastix_int_t, PASTIX_LRM3_ALLOCU, PASTIX_LRM3_TRANSB, PastixNoTrans, pastix_lrblock_s::rk, pastix_lrblock_s::rkmax, pastix_lrblock_s::u, and pastix_lrblock_s::v.

◆ core_dfrlr2lr()

pastix_fixdbl_t core_dfrlr2lr	(	core_dlrmm_t *	params,
		pastix_lrblock_t *	AB,
		int *	infomask,
		pastix_int_t	Brkmin
	)

Perform the operation AB = op(A) * op(B), with A full-rank and B and AB low-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_dlrmm_t

Parameters

[in,out]	AB	The low-rank structure of the AB matrix in which to store the AB product.
[in,out]	infomask	The mask of informations returned by the core_dxx2lr() functions. If AB.u is orthogonal on exit, then PASTIX_LRM3_ORTHOU is set. If AB.u is allocated, then PASTIX_LRM3_ALLOCU is set. If AB.v is allocated, then PASTIX_LRM3_ALLOCV is set. If AB.v is inistialized as one of the given pointer and op(B) is not applyed, then PASTIX_LRM3_TRANSB is set.
[in]	Brkmin	Threshold for which B->rk is considered as the final rank of AB

Returns: The number of flops required to perform the operation.

Definition at line 152 of file core_dxx2lr.c.

◆ core_dlrfr2lr()

pastix_fixdbl_t core_dlrfr2lr	(	core_dlrmm_t *	params,
		pastix_lrblock_t *	AB,
		int *	infomask,
		pastix_int_t	Arkmin
	)

Perform the operation AB = op(A) * op(B), with B full-rank and A and AB low-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_dlrmm_t

Parameters

[in,out]	AB	The low-rank structure of the AB matrix in which to store the AB product.
[in,out]	infomask	The mask of informations returned by the core_dxx2lr() functions. If AB.u is orthogonal on exit, then PASTIX_LRM3_ORTHOU is set. If AB.u is allocated, then PASTIX_LRM3_ALLOCU is set. If AB.v is allocated, then PASTIX_LRM3_ALLOCV is set. If AB.v is inistialized as one of the given pointer and op(B) is not applyed, then PASTIX_LRM3_TRANSB is set.
[in]	Arkmin	Threshold for which A->rk is considered as the final rank of AB

Returns: The number of flops required to perform the operation.

Definition at line 298 of file core_dxx2lr.c.

References core_dlrmm_getws(), PASTE_CORE_DLRMM_PARAMS, PASTE_CORE_DLRMM_VOID, pastix_int_t, PASTIX_LRM3_ALLOCU, PASTIX_LRM3_ALLOCV, PASTIX_LRM3_ORTHOU, PastixNoTrans, pastix_lrblock_s::rk, pastix_lrblock_s::rkmax, pastix_lrblock_s::u, and pastix_lrblock_s::v.

◆ core_dlrlr2lr()

pastix_fixdbl_t core_dlrlr2lr	(	core_dlrmm_t *	params,
		pastix_lrblock_t *	AB,
		int *	infomask
	)

Perform the operation AB = op(A) * op(B), with A, B, and AB low-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_dlrmm_t

Parameters

[in,out]	AB	The low-rank structure of the AB matrix in which to store the AB product.
[in,out]	infomask	The mask of informations returned by the core_dxx2lr() functions. If AB.u is orthogonal on exit, then PASTIX_LRM3_ORTHOU is set. If AB.u is allocated, then PASTIX_LRM3_ALLOCU is set. If AB.v is allocated, then PASTIX_LRM3_ALLOCV is set. If AB.v is inistialized as one of the given pointer and op(B) is not applyed, then PASTIX_LRM3_TRANSB is set.

Returns: The number of flops required to perform the operation.

The rank of AB is smaller than min(rankA, rankB)

Definition at line 442 of file core_dxx2lr.c.

References core_dlrfree(), core_dlrmm_getws(), PASTE_CORE_DLRMM_PARAMS, PASTE_CORE_DLRMM_VOID, pastix_int_t, PASTIX_LRM3_ALLOCU, PASTIX_LRM3_ALLOCV, PASTIX_LRM3_ORTHOU, PASTIX_LRM3_TRANSB, PastixNoTrans, pastix_lrblock_s::rk, pastix_lrblock_s::rkmax, pastix_lrblock_s::u, and pastix_lrblock_s::v.

Referenced by core_dlrlr2fr().

◆ core_dlradd()

pastix_fixdbl_t core_dlradd	(	core_dlrmm_t *	params,
		const pastix_lrblock_t *	A,
		pastix_trans_t	transV,
		int	infomask
	)

Perform the addition of two low-rank matrices.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the addition of C and A aligned with its own dimensions.

See also: core_dlrmm_t

Parameters

[in]	A	The low-rank structure of the A matrix to add to C.
[in]	transV	Specify if A->v is stored normally or transposed. If PastixNoTrans, AB->v is stored normally for low-rank format. If PastixTrans, AB->v is stored transposed. If PastixTrans, AB->v is stored transposed, and () must be applied to the matrix.
[in]	infomask	Mask of informations returned by the core_dxx2lr() functions. If CORE_LRMM_ORTHOU is set, then A.u is orthogonal, otherwise an orthogonalization step is added before adding it to C.

Returns: The number of flops required to perform the operation.

Definition at line 383 of file core_dlr2xx.c.

References core_dlrmm_s::C, core_dlr2fr(), core_dlr2lr(), core_dlr2null(), core_dlrmm_s::lock, pastix_lrblock_s::rk, and pastix_lrblock_s::rkmax.

Referenced by cpublok_dadd_frlr(), cpublok_dadd_lrlr(), cpucblk_dadd_frlr(), and cpucblk_dadd_lrlr().

◆ core_dlrmm()

pastix_fixdbl_t core_dlrmm ( core_dlrmm_t * params )

Compute the matrix matrix product when involved matrices are stored in a low-rank structure.

This function considers the generic matrix matrix product added to a third matric C. All matrices are either null, low-rank or full-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family.

See also: core_dlrmm_t

Returns: The number of flops required to perform the operation.

Definition at line 278 of file core_dlrmm.c.

References core_dlrdbg_check_orthogonality(), core_dlrmm_Cfr(), core_dlrmm_Clr(), core_dlrmm_Cnull(), core_dlrmm_s::lwused, PASTE_CORE_DLRMM_PARAMS, PASTE_CORE_DLRMM_VOID, PastixCompressMethodSVD, PastixNoTrans, and core_dlrmm_s::work.

Referenced by core_dgemmsp_block_frlr(), core_dgemmsp_block_lrlr(), core_dgemmsp_fulllr(), core_dgemmsp_lr(), and core_dgemmsp_lrfr().

◆ core_zlrmm_getws()

static pastix_complex64_t* core_zlrmm_getws	(	core_zlrmm_t *	params,
		ssize_t	newsize
	)

inlinestatic

Function to get a workspace pointer if space is available in the one provided.

Parameters

[in,out]	params	The parameters structure for core_zlrmm family functions
[in]	newsize	The required workspace size in number of elements

Returns: The pointer to the workspace if enough space available, NULL otherwise.

Definition at line 155 of file pastix_zlrcores.h.

References core_zlrmm_s::lwork, core_zlrmm_s::lwused, and core_zlrmm_s::work.

Referenced by core_zfrfr2lr(), core_zfrlr2fr(), core_zfrlr2lr(), core_zlr2lr(), core_zlr2null(), core_zlrfr2fr(), core_zlrfr2lr(), and core_zlrlr2lr().

◆ core_zfrfr2fr()

pastix_fixdbl_t core_zfrfr2fr ( core_zlrmm_t * params )

Perform the full-rank operation C = alpha * op(A) * op(B) + beta C.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_zlrmm_t

Returns: The number of flops required to perform the operation.

Definition at line 48 of file core_zxx2fr.c.

References PASTE_CORE_ZLRMM_PARAMS, PASTE_CORE_ZLRMM_VOID, pastix_int_t, and PastixNoTrans.

◆ core_zfrlr2fr()

pastix_fixdbl_t core_zfrlr2fr ( core_zlrmm_t * params )

Perform the operation C = alpha * op(A) * op(B) + beta C, with A and C full-rank and B low-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_zlrmm_t

Returns: The number of flops required to perform the operation.

Definition at line 101 of file core_zxx2fr.c.

References core_zlrmm_getws(), PASTE_CORE_ZLRMM_PARAMS, PASTE_CORE_ZLRMM_VOID, pastix_int_t, and PastixNoTrans.

◆ core_zlrfr2fr()

pastix_fixdbl_t core_zlrfr2fr ( core_zlrmm_t * params )

Perform the operation C = alpha * op(A) * op(B) + beta C, with B and C full-rank and A low-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_zlrmm_t

Returns: The number of flops required to perform the operation.

Definition at line 202 of file core_zxx2fr.c.

References core_zlrmm_getws(), PASTE_CORE_ZLRMM_PARAMS, PASTE_CORE_ZLRMM_VOID, pastix_int_t, and PastixNoTrans.

◆ core_zlrlr2fr()

pastix_fixdbl_t core_zlrlr2fr ( core_zlrmm_t * params )

Perform the operation C = alpha * op(A) * op(B) + beta C, with A and B low-rank and C full-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_zlrmm_t

Returns: The number of flops required to perform the operation.

Definition at line 304 of file core_zxx2fr.c.

References core_zlrlr2lr(), PASTE_CORE_ZLRMM_PARAMS, PASTE_CORE_ZLRMM_VOID, pastix_int_t, PASTIX_LRM3_ALLOCU, PASTIX_LRM3_ALLOCV, PASTIX_LRM3_TRANSB, PastixNoTrans, pastix_lrblock_s::rk, pastix_lrblock_s::rkmax, pastix_lrblock_s::u, and pastix_lrblock_s::v.

◆ core_zfrfr2lr()

pastix_fixdbl_t core_zfrfr2lr	(	core_zlrmm_t *	params,
		pastix_lrblock_t *	AB,
		int *	infomask,
		pastix_int_t	Kmax
	)

Perform the operation AB = op(A) * op(B), with A and B full-rank and AB low-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_zlrmm_t

Parameters

[in,out]	AB	The low-rank structure of the AB matrix in which to store the AB product.
[in,out]	infomask	The mask of informations returned by the core_zxx2lr() functions. If AB.u is orthogonal on exit, then PASTIX_LRM3_ORTHOU is set. If AB.u is allocated, then PASTIX_LRM3_ALLOCU is set. If AB.v is allocated, then PASTIX_LRM3_ALLOCV is set. If AB.v is inistialized as one of the given pointer and op(B) is not applyed, then PASTIX_LRM3_TRANSB is set.
[in]	Kmax	The maximum K value for which the AB product is contructed as AB.u = A, and AB.v = B

Returns: The number of flops required to perform the operation.

Definition at line 66 of file core_zxx2lr.c.

References core_zlrmm_getws(), PASTE_CORE_ZLRMM_PARAMS, PASTE_CORE_ZLRMM_VOID, pastix_int_t, PASTIX_LRM3_ALLOCU, PASTIX_LRM3_TRANSB, PastixNoTrans, pastix_lrblock_s::rk, pastix_lrblock_s::rkmax, pastix_lrblock_s::u, and pastix_lrblock_s::v.

◆ core_zfrlr2lr()

pastix_fixdbl_t core_zfrlr2lr	(	core_zlrmm_t *	params,
		pastix_lrblock_t *	AB,
		int *	infomask,
		pastix_int_t	Brkmin
	)

Perform the operation AB = op(A) * op(B), with A full-rank and B and AB low-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_zlrmm_t

Parameters

[in,out]	AB	The low-rank structure of the AB matrix in which to store the AB product.
[in,out]	infomask	The mask of informations returned by the core_zxx2lr() functions. If AB.u is orthogonal on exit, then PASTIX_LRM3_ORTHOU is set. If AB.u is allocated, then PASTIX_LRM3_ALLOCU is set. If AB.v is allocated, then PASTIX_LRM3_ALLOCV is set. If AB.v is inistialized as one of the given pointer and op(B) is not applyed, then PASTIX_LRM3_TRANSB is set.
[in]	Brkmin	Threshold for which B->rk is considered as the final rank of AB

Returns: The number of flops required to perform the operation.

Definition at line 152 of file core_zxx2lr.c.

◆ core_zlrfr2lr()

pastix_fixdbl_t core_zlrfr2lr	(	core_zlrmm_t *	params,
		pastix_lrblock_t *	AB,
		int *	infomask,
		pastix_int_t	Arkmin
	)

Perform the operation AB = op(A) * op(B), with B full-rank and A and AB low-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_zlrmm_t

Parameters

[in,out]	AB	The low-rank structure of the AB matrix in which to store the AB product.
[in,out]	infomask	The mask of informations returned by the core_zxx2lr() functions. If AB.u is orthogonal on exit, then PASTIX_LRM3_ORTHOU is set. If AB.u is allocated, then PASTIX_LRM3_ALLOCU is set. If AB.v is allocated, then PASTIX_LRM3_ALLOCV is set. If AB.v is inistialized as one of the given pointer and op(B) is not applyed, then PASTIX_LRM3_TRANSB is set.
[in]	Arkmin	Threshold for which A->rk is considered as the final rank of AB

Returns: The number of flops required to perform the operation.

Definition at line 298 of file core_zxx2lr.c.

References core_zlrmm_getws(), PASTE_CORE_ZLRMM_PARAMS, PASTE_CORE_ZLRMM_VOID, pastix_int_t, PASTIX_LRM3_ALLOCU, PASTIX_LRM3_ALLOCV, PASTIX_LRM3_ORTHOU, PastixNoTrans, pastix_lrblock_s::rk, pastix_lrblock_s::rkmax, pastix_lrblock_s::u, and pastix_lrblock_s::v.

◆ core_zlrlr2lr()

pastix_fixdbl_t core_zlrlr2lr	(	core_zlrmm_t *	params,
		pastix_lrblock_t *	AB,
		int *	infomask
	)

Perform the operation AB = op(A) * op(B), with A, B, and AB low-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the product AB aligned with its own dimensions.

See also: core_zlrmm_t

Parameters

[in,out]	AB	The low-rank structure of the AB matrix in which to store the AB product.
[in,out]	infomask	The mask of informations returned by the core_zxx2lr() functions. If AB.u is orthogonal on exit, then PASTIX_LRM3_ORTHOU is set. If AB.u is allocated, then PASTIX_LRM3_ALLOCU is set. If AB.v is allocated, then PASTIX_LRM3_ALLOCV is set. If AB.v is inistialized as one of the given pointer and op(B) is not applyed, then PASTIX_LRM3_TRANSB is set.

Returns: The number of flops required to perform the operation.

The rank of AB is smaller than min(rankA, rankB)

Definition at line 442 of file core_zxx2lr.c.

References core_zlrfree(), core_zlrmm_getws(), PASTE_CORE_ZLRMM_PARAMS, PASTE_CORE_ZLRMM_VOID, pastix_int_t, PASTIX_LRM3_ALLOCU, PASTIX_LRM3_ALLOCV, PASTIX_LRM3_ORTHOU, PASTIX_LRM3_TRANSB, PastixNoTrans, pastix_lrblock_s::rk, pastix_lrblock_s::rkmax, pastix_lrblock_s::u, and pastix_lrblock_s::v.

Referenced by core_zlrlr2fr().

◆ core_zlradd()

pastix_fixdbl_t core_zlradd	(	core_zlrmm_t *	params,
		const pastix_lrblock_t *	A,
		pastix_trans_t	transV,
		int	infomask
	)

Perform the addition of two low-rank matrices.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family. On exit, the C matrix contains the addition of C and A aligned with its own dimensions.

See also: core_zlrmm_t

Parameters

[in]	A	The low-rank structure of the A matrix to add to C.
[in]	transV	Specify if A->v is stored normally or transposed. If PastixNoTrans, AB->v is stored normally for low-rank format. If PastixTrans, AB->v is stored transposed. If PastixConjTrans, AB->v is stored transposed, and conj() must be applied to the matrix.
[in]	infomask	Mask of informations returned by the core_zxx2lr() functions. If CORE_LRMM_ORTHOU is set, then A.u is orthogonal, otherwise an orthogonalization step is added before adding it to C.

Returns: The number of flops required to perform the operation.

Definition at line 383 of file core_zlr2xx.c.

References core_zlrmm_s::C, core_zlr2fr(), core_zlr2lr(), core_zlr2null(), core_zlrmm_s::lock, pastix_lrblock_s::rk, and pastix_lrblock_s::rkmax.

Referenced by cpublok_zadd_frlr(), cpublok_zadd_lrlr(), cpucblk_zadd_frlr(), and cpucblk_zadd_lrlr().

◆ core_zlrmm()

pastix_fixdbl_t core_zlrmm ( core_zlrmm_t * params )

Compute the matrix matrix product when involved matrices are stored in a low-rank structure.

This function considers the generic matrix matrix product added to a third matric C. All matrices are either null, low-rank or full-rank.

Parameters

[in,out] params The LRMM structure that stores all the parameters used in the LRMM functions family.

See also: core_zlrmm_t

Returns: The number of flops required to perform the operation.

Definition at line 278 of file core_zlrmm.c.

References core_zlrdbg_check_orthogonality(), core_zlrmm_Cfr(), core_zlrmm_Clr(), core_zlrmm_Cnull(), core_zlrmm_s::lwused, PASTE_CORE_ZLRMM_PARAMS, PASTE_CORE_ZLRMM_VOID, PastixCompressMethodSVD, PastixNoTrans, and core_zlrmm_s::work.

Referenced by core_zgemmsp_block_frlr(), core_zgemmsp_block_lrlr(), core_zgemmsp_fulllr(), core_zgemmsp_lr(), and core_zgemmsp_lrfr().

Data Structures

Functions

PastixComplex32 LRMM low-rank kernels

PastixFloat LRMM low-rank kernels

PastixDouble LRMM low-rank kernels

PastixComplex64 LRMM low-rank kernels

update_fr Functions to perform the update on a full-rank matrix

update_lr Functions to prepare the AB product for an update on a low-rank matrix

add_lr Functions to add the AB contribution in a low-rank format to any C matrix

update_fr Functions to perform the update on a full-rank matrix

update_lr Functions to prepare the AB product for an update on a low-rank matrix

add_lr Functions to add the AB contribution in a low-rank format to any C matrix

update_fr Functions to perform the update on a full-rank matrix

update_lr Functions to prepare the AB product for an update on a low-rank matrix

add_lr Functions to add the AB contribution in a low-rank format to any C matrix

update_fr Functions to perform the update on a full-rank matrix

update_lr Functions to prepare the AB product for an update on a low-rank matrix

add_lr Functions to add the AB contribution in a low-rank format to any C matrix

Detailed Description

Data Type Documentation

◆ core_clrmm_s

◆ core_slrmm_s

◆ core_dlrmm_s

◆ core_zlrmm_s

Macro Definition Documentation

◆ PASTE_CORE_CLRMM_PARAMS

◆ PASTE_CORE_CLRMM_VOID

◆ PASTE_CORE_SLRMM_PARAMS

◆ PASTE_CORE_SLRMM_VOID

◆ PASTE_CORE_DLRMM_PARAMS

◆ PASTE_CORE_DLRMM_VOID

◆ PASTE_CORE_ZLRMM_PARAMS

◆ PASTE_CORE_ZLRMM_VOID

Function Documentation

◆ core_clrmm_getws()

◆ core_cfrfr2fr()

◆ core_cfrlr2fr()

◆ core_clrfr2fr()

◆ core_clrlr2fr()

◆ core_cfrfr2lr()

◆ core_cfrlr2lr()

◆ core_clrfr2lr()

◆ core_clrlr2lr()

◆ core_clradd()

◆ core_clrmm()

◆ core_slrmm_getws()

◆ core_sfrfr2fr()

◆ core_sfrlr2fr()

◆ core_slrfr2fr()

◆ core_slrlr2fr()

◆ core_sfrfr2lr()

◆ core_sfrlr2lr()

◆ core_slrfr2lr()

◆ core_slrlr2lr()

◆ core_slradd()

◆ core_slrmm()

◆ core_dlrmm_getws()

◆ core_dfrfr2fr()

◆ core_dfrlr2fr()

◆ core_dlrfr2fr()

◆ core_dlrlr2fr()

◆ core_dfrfr2lr()

◆ core_dfrlr2lr()

◆ core_dlrfr2lr()

◆ core_dlrlr2lr()

◆ core_dlradd()

◆ core_dlrmm()

◆ core_zlrmm_getws()

◆ core_zfrfr2fr()

◆ core_zfrlr2fr()

◆ core_zlrfr2fr()

◆ core_zlrlr2fr()

◆ core_zfrfr2lr()

◆ core_zfrlr2lr()

◆ core_zlrfr2lr()

◆ core_zlrlr2lr()

◆ core_zlradd()

◆ core_zlrmm()