extern "C" magma_int_t
magma_sormtr_gpu(char side, char uplo, char trans,
magma_int_t m, magma_int_t n,
float *da, magma_int_t ldda,
float *tau,
float *dc, magma_int_t lddc,
float *wa, magma_int_t ldwa,
magma_int_t *info)
{
/* -- MAGMA (version 1.3.0) --
Univ. of Tennessee, Knoxville
Univ. of California, Berkeley
Univ. of Colorado, Denver
November 2012
Purpose
=======
SORMTR overwrites the general real M-by-N matrix C with
SIDE = 'L' SIDE = 'R'
TRANS = 'N': Q * C C * Q
TRANS = 'T': Q**T * C C * Q**T
where Q is a real orthogonal matrix of order nq, with nq = m if
SIDE = 'L' and nq = n if SIDE = 'R'. Q is defined as the product of
nq-1 elementary reflectors, as returned by SSYTRD:
if UPLO = 'U', Q = H(nq-1) . . . H(2) H(1);
if UPLO = 'L', Q = H(1) H(2) . . . H(nq-1).
Arguments
=========
SIDE (input) CHARACTER*1
= 'L': apply Q or Q**T from the Left;
= 'R': apply Q or Q**T from the Right.
UPLO (input) CHARACTER*1
= 'U': Upper triangle of A contains elementary reflectors
from SSYTRD;
= 'L': Lower triangle of A contains elementary reflectors
from SSYTRD.
TRANS (input) CHARACTER*1
= 'N': No transpose, apply Q;
= 'T': Transpose, apply Q**T.
M (input) INTEGER
The number of rows of the matrix C. M >= 0.
N (input) INTEGER
The number of columns of the matrix C. N >= 0.
DA (device input) REAL array, dimension
(LDDA,M) if SIDE = 'L'
(LDDA,N) if SIDE = 'R'
The vectors which define the elementary reflectors, as
returned by SSYTRD_GPU. On output the diagonal, the subdiagonal and the
upper part(UPLO='L') or lower part(UPLO='U') are destroyed.
LDDA (input) INTEGER
The leading dimension of the array DA.
LDDA >= max(1,M) if SIDE = 'L'; LDDA >= max(1,N) if SIDE = 'R'.
TAU (input) REAL array, dimension
(M-1) if SIDE = 'L'
(N-1) if SIDE = 'R'
TAU(i) must contain the scalar factor of the elementary
reflector H(i), as returned by SSYTRD.
DC (device input/output) REAL array, dimension (LDDC,N)
On entry, the M-by-N matrix C.
On exit, C is overwritten by Q*C or Q**T * C or C * Q**T or C*Q.
LDDC (input) INTEGER
The leading dimension of the array C. LDDC >= max(1,M).
WA (input/workspace) REAL array, dimension
(LDWA,M) if SIDE = 'L'
(LDWA,N) if SIDE = 'R'
The vectors which define the elementary reflectors, as
returned by SSYTRD_GPU.
LDWA (input) INTEGER
The leading dimension of the array A.
LDWA >= max(1,M) if SIDE = 'L'; LDWA >= max(1,N) if SIDE = 'R'.
WORK (workspace/output) REAL array, dimension (MAX(1,LWORK))
On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
LWORK (input) INTEGER
The dimension of the array WORK.
If SIDE = 'L', LWORK >= max(1,N);
if SIDE = 'R', LWORK >= max(1,M).
For optimum performance LWORK >= N*NB if SIDE = 'L', and
LWORK >= M*NB if SIDE = 'R', where NB is the optimal
blocksize.
If LWORK = -1, then a workspace query is assumed; the routine
only calculates the optimal size of the WORK array, returns
this value as the first entry of the WORK array, and no error
message related to LWORK is issued.
INFO (output) INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value
===================================================================== */
float c_one = MAGMA_S_ONE;
char side_[2] = {side, 0};
char uplo_[2] = {uplo, 0};
char trans_[2] = {trans, 0};
magma_int_t i__2;
magma_int_t i1, i2, mi, ni, nq, nw;
int left, upper;
magma_int_t iinfo;
*info = 0;
left = lapackf77_lsame(side_, "L");
upper = lapackf77_lsame(uplo_, "U");
/* NQ is the order of Q and NW is the minimum dimension of WORK */
if (left) {
nq = m;
nw = n;
} else {
nq = n;
nw = m;
}
if (! left && ! lapackf77_lsame(side_, "R")) {
*info = -1;
} else if (! upper && ! lapackf77_lsame(uplo_, "L")) {
*info = -2;
} else if (! lapackf77_lsame(trans_, "N") &&
! lapackf77_lsame(trans_, "C")) {
*info = -3;
} else if (m < 0) {
*info = -4;
} else if (n < 0) {
*info = -5;
} else if (ldda < max(1,nq)) {
*info = -7;
} else if (lddc < max(1,m)) {
*info = -10;
} else if (ldwa < max(1,nq)) {
*info = -12;
}
if (*info != 0) {
magma_xerbla( __func__, -(*info) );
return *info;
}
/* Quick return if possible */
if (m == 0 || n == 0 || nq == 1) {
return *info;
}
if (left) {
mi = m - 1;
ni = n;
} else {
mi = m;
ni = n - 1;
}
if (upper)
{
i__2 = nq - 1;
magma_sormql2_gpu(side, trans, mi, ni, i__2, &da[ldda], ldda, tau,
dc, lddc, &wa[ldwa], ldwa, &iinfo);
}
else
{
/* Q was determined by a call to SSYTRD with UPLO = 'L' */
if (left) {
i1 = 1;
i2 = 0;
} else {
i1 = 0;
i2 = 1;
}
i__2 = nq - 1;
magma_sormqr2_gpu(side, trans, mi, ni, i__2, &da[1], ldda, tau,
&dc[i1 + i2 * lddc], lddc, &wa[1], ldwa, &iinfo);
}
return *info;
} /* sormtr */
/**
Purpose
-------
SORMTR overwrites the general real M-by-N matrix C with
SIDE = MagmaLeft SIDE = MagmaRight
TRANS = MagmaNoTrans: Q * C C * Q
TRANS = MagmaTrans: Q**H * C C * Q**H
where Q is a real unitary matrix of order nq, with nq = m if
SIDE = MagmaLeft and nq = n if SIDE = MagmaRight. Q is defined as the product of
nq-1 elementary reflectors, as returned by SSYTRD:
if UPLO = MagmaUpper, Q = H(nq-1) . . . H(2) H(1);
if UPLO = MagmaLower, Q = H(1) H(2) . . . H(nq-1).
Arguments
---------
@param[in]
side magma_side_t
- = MagmaLeft: apply Q or Q**H from the Left;
- = MagmaRight: apply Q or Q**H from the Right.
@param[in]
uplo magma_uplo_t
- = MagmaUpper: Upper triangle of A contains elementary reflectors
from SSYTRD;
- = MagmaLower: Lower triangle of A contains elementary reflectors
from SSYTRD.
@param[in]
trans magma_trans_t
- = MagmaNoTrans: No transpose, apply Q;
- = MagmaTrans: Conjugate transpose, apply Q**H.
@param[in]
m INTEGER
The number of rows of the matrix C. M >= 0.
@param[in]
n INTEGER
The number of columns of the matrix C. N >= 0.
@param[in]
dA REAL array, dimension
(LDDA,M) if SIDE = MagmaLeft
(LDDA,N) if SIDE = MagmaRight
The vectors which define the elementary reflectors, as
returned by SSYTRD_GPU. On output the diagonal, the subdiagonal and the
upper part (UPLO=MagmaLower) or lower part (UPLO=MagmaUpper) are destroyed.
@param[in]
ldda INTEGER
The leading dimension of the array DA.
LDDA >= max(1,M) if SIDE = MagmaLeft; LDDA >= max(1,N) if SIDE = MagmaRight.
@param[in]
tau REAL array, dimension
(M-1) if SIDE = MagmaLeft
(N-1) if SIDE = MagmaRight
TAU(i) must contain the scalar factor of the elementary
reflector H(i), as returned by SSYTRD.
@param[in,out]
dC REAL array, dimension (LDDC,N)
On entry, the M-by-N matrix C.
On exit, C is overwritten by (Q*C) or (Q**H * C) or (C * Q**H) or (C*Q).
@param[in]
lddc INTEGER
The leading dimension of the array C. LDDC >= max(1,M).
@param[in]
wA (workspace) REAL array, dimension
(LDWA,M) if SIDE = MagmaLeft
(LDWA,N) if SIDE = MagmaRight
The vectors which define the elementary reflectors, as
returned by SSYTRD_GPU.
@param[in]
ldwa INTEGER
The leading dimension of the array wA.
LDWA >= max(1,M) if SIDE = MagmaLeft; LDWA >= max(1,N) if SIDE = MagmaRight.
@param[out]
info INTEGER
- = 0: successful exit
- < 0: if INFO = -i, the i-th argument had an illegal value
@ingroup magma_ssyev_comp
********************************************************************/
extern "C" magma_int_t
magma_sormtr_gpu(
magma_side_t side, magma_uplo_t uplo, magma_trans_t trans,
magma_int_t m, magma_int_t n,
magmaFloat_ptr dA, magma_int_t ldda,
float *tau,
magmaFloat_ptr dC, magma_int_t lddc,
float *wA, magma_int_t ldwa,
magma_int_t *info)
{
#define dA(i_,j_) (dA + (i_) + (j_)*ldda)
#define dC(i_,j_) (dC + (i_) + (j_)*lddc)
#define wA(i_,j_) (wA + (i_) + (j_)*ldwa)
magma_int_t i1, i2, mi, ni, nq, nw;
int left, upper;
magma_int_t iinfo;
*info = 0;
left = (side == MagmaLeft);
upper = (uplo == MagmaUpper);
/* NQ is the order of Q and NW is the minimum dimension of WORK */
if (left) {
nq = m;
nw = n;
} else {
nq = n;
nw = m;
}
if (! left && side != MagmaRight) {
*info = -1;
} else if (! upper && uplo != MagmaLower) {
*info = -2;
} else if (trans != MagmaNoTrans &&
trans != MagmaTrans) {
*info = -3;
} else if (m < 0) {
*info = -4;
} else if (n < 0) {
*info = -5;
} else if (ldda < max(1,nq)) {
*info = -7;
} else if (lddc < max(1,m)) {
*info = -10;
} else if (ldwa < max(1,nq)) {
*info = -12;
}
if (*info != 0) {
magma_xerbla( __func__, -(*info) );
return *info;
}
/* Quick return if possible */
if (m == 0 || n == 0 || nq == 1) {
return *info;
}
if (left) {
mi = m - 1;
ni = n;
} else {
mi = m;
ni = n - 1;
}
if (upper) {
magma_sormql2_gpu(side, trans, mi, ni, nq-1, dA(0,1), ldda, tau,
dC, lddc, wA(0,1), ldwa, &iinfo);
}
else {
/* Q was determined by a call to SSYTRD with UPLO = 'L' */
if (left) {
i1 = 1;
i2 = 0;
} else {
i1 = 0;
i2 = 1;
}
magma_sormqr2_gpu(side, trans, mi, ni, nq-1, dA(1,0), ldda, tau,
dC(i1,i2), lddc, wA(1,0), ldwa, &iinfo);
}
return *info;
} /* magma_sormtr */
