void magmaf_dormqr_m(
magma_int_t *nrgpu, magma_side_t *side, magma_trans_t *trans, magma_int_t *m, magma_int_t *n, magma_int_t *k,
double *a, magma_int_t *lda,
double *tau,
double *c, magma_int_t *ldc,
double *work, magma_int_t *lwork,
magma_int_t *info )
{
magma_dormqr_m(
*nrgpu, *side, *trans, *m, *n, *k,
a, *lda,
tau,
c, *ldc,
work, *lwork,
info );
}
/**
Purpose
-------
DORMTR 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 orthogonal 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]
ngpu INTEGER
Number of GPUs to use. ngpu > 0.
@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]
A DOUBLE PRECISION array, dimension
(LDA,M) if SIDE = MagmaLeft
(LDA,N) if SIDE = MagmaRight
The vectors which define the elementary reflectors, as
returned by SSYTRD.
@param[in]
lda INTEGER
The leading dimension of the array A.
LDA >= max(1,M) if SIDE = MagmaLeft; LDA >= max(1,N) if SIDE = MagmaRight.
@param[in]
tau DOUBLE PRECISION 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]
C DOUBLE PRECISION array, dimension (LDC,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]
ldc INTEGER
The leading dimension of the array C. LDC >= max(1,M).
@param[out]
work (workspace) DOUBLE PRECISION array, dimension (MAX(1,LWORK))
On exit, if INFO = 0, WORK[0] returns the optimal LWORK.
@param[in]
lwork INTEGER
The dimension of the array WORK.
If SIDE = MagmaLeft, LWORK >= max(1,N);
if SIDE = MagmaRight, LWORK >= max(1,M).
For optimum performance LWORK >= N*NB if SIDE = MagmaLeft, and
LWORK >= M*NB if SIDE = MagmaRight, where NB is the optimal
blocksize.
\n
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.
@param[out]
info INTEGER
- = 0: successful exit
- < 0: if INFO = -i, the i-th argument had an illegal value
@ingroup magma_dsyev_comp
********************************************************************/
extern "C" magma_int_t
magma_dormtr_m(
magma_int_t ngpu,
magma_side_t side, magma_uplo_t uplo, magma_trans_t trans,
magma_int_t m, magma_int_t n,
double *A, magma_int_t lda,
double *tau,
double *C, magma_int_t ldc,
double *work, magma_int_t lwork,
magma_int_t *info)
{
#define A(i_,j_) (A + (i_) + (j_)*lda)
#define C(i_,j_) (C + (i_) + (j_)*ldc)
double c_one = MAGMA_D_ONE;
magma_int_t i__2;
magma_int_t i1, i2, nb, mi, ni, nq, nw;
magma_int_t iinfo;
magma_int_t lwkopt;
*info = 0;
bool left = (side == MagmaLeft);
bool upper = (uplo == MagmaUpper);
bool lquery = (lwork == -1);
/* 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 (lda < max(1,nq)) {
*info = -7;
} else if (ldc < max(1,m)) {
*info = -10;
} else if (lwork < max(1,nw) && ! lquery) {
*info = -12;
}
nb = 32;
lwkopt = max(1,nw) * nb;
if (*info == 0) {
work[0] = magma_dmake_lwork( lwkopt );
}
if (*info != 0) {
magma_xerbla( __func__, -(*info) );
return *info;
}
else if (lquery) {
return *info;
}
/* Quick return if possible */
if (m == 0 || n == 0 || nq == 1) {
work[0] = c_one;
return *info;
}
if (left) {
mi = m - 1;
ni = n;
} else {
mi = m;
ni = n - 1;
}
if (upper) {
/* Q was determined by a call to SSYTRD with UPLO = MagmaUpper */
i__2 = nq - 1;
// TODO: upper case is not yet implemented for multiple GPUs -- see above
// for now use one GPU
//lapackf77_dormql(side_, trans_, &mi, &ni, &i__2, A(0,1), &lda,
// tau, C, &ldc, work, &lwork, &iinfo);
//magma_dormql_m(ngpu, side, trans, mi, ni, i__2, A(0,1), lda, tau,
// C, ldc, work, lwork, &iinfo);
magma_dormql(side, trans, mi, ni, i__2, A(0,1), lda, tau,
C, ldc, work, lwork, &iinfo);
}
else {
/* Q was determined by a call to SSYTRD with UPLO = MagmaLower */
if (left) {
i1 = 1;
i2 = 0;
} else {
i1 = 0;
i2 = 1;
}
i__2 = nq - 1;
magma_dormqr_m(ngpu, side, trans, mi, ni, i__2, A(1,0), lda, tau,
C(i1,i2), ldc, work, lwork, &iinfo);
}
work[0] = magma_dmake_lwork( lwkopt );
return *info;
} /* magma_dormtr */
