extern "C" magma_int_t
magma_sgeqrf_expert_batched(
magma_int_t m, magma_int_t n,
float **dA_array, magma_int_t ldda,
float **dR_array, magma_int_t lddr,
float **dT_array, magma_int_t lddt,
float **dtau_array, magma_int_t provide_RT,
magma_int_t *info_array, magma_int_t batchCount, magma_queue_t queue)
{
#define dA(i, j) (dA + (i) + (j)*ldda) // A(i, j) means at i row, j column
/* Local Parameter */
magma_int_t nb = magma_get_sgeqrf_batched_nb(m);
magma_int_t nnb = 8;
magma_int_t min_mn = min(m, n);
/* Check arguments */
cudaMemset(info_array, 0, batchCount*sizeof(magma_int_t));
magma_int_t arginfo = 0;
if (m < 0)
arginfo = -1;
else if (n < 0)
arginfo = -2;
else if (ldda < max(1,m))
arginfo = -4;
else if (lddr < min_mn && provide_RT == 1)
arginfo = -6;
else if (lddr < min(min_mn, nb))
arginfo = -6;
else if (lddt < min(min_mn, nb))
arginfo = -8;
if (arginfo != 0) {
magma_xerbla( __func__, -(arginfo) );
return arginfo;
}
/* Quick return if possible */
if (m == 0 || n == 0)
if (min_mn == 0 ) return arginfo;
if ( m > 2048 || n > 2048 ) {
printf("=========================================================================================\n");
printf(" WARNING batched routines are designed for small sizes it might be better to use the\n Native/Hybrid classical routines if you want performance\n");
printf("=========================================================================================\n");
}
magma_int_t i, k, ib=nb, jb=nnb, offset_RT=0, use_stream;
magma_int_t ldw, offset;
float **dW0_displ = NULL;
float **dW1_displ = NULL;
float **dW2_displ = NULL;
float **dW3_displ = NULL;
float **dW4_displ = NULL;
float **dW5_displ = NULL;
float **dR_displ = NULL;
float **dT_displ = NULL;
float *dwork = NULL;
float **cpuAarray = NULL;
float **cpuTarray = NULL;
magma_malloc((void**)&dW0_displ, batchCount * sizeof(*dW0_displ));
magma_malloc((void**)&dW1_displ, batchCount * sizeof(*dW1_displ));
magma_malloc((void**)&dW2_displ, batchCount * sizeof(*dW2_displ));
magma_malloc((void**)&dW3_displ, batchCount * sizeof(*dW3_displ));
magma_malloc((void**)&dW4_displ, batchCount * sizeof(*dW4_displ));
magma_malloc((void**)&dW5_displ, batchCount * sizeof(*dW5_displ));
magma_malloc((void**)&dR_displ, batchCount * sizeof(*dR_displ));
magma_malloc((void**)&dT_displ, batchCount * sizeof(*dT_displ));
magma_smalloc(&dwork, (2 * nb * n) * batchCount);
magma_malloc_cpu((void**) &cpuAarray, batchCount*sizeof(float*));
magma_malloc_cpu((void**) &cpuTarray, batchCount*sizeof(float*));
/* check allocation */
if ( dW0_displ == NULL || dW1_displ == NULL || dW2_displ == NULL ||
dW3_displ == NULL || dW4_displ == NULL || dW5_displ == NULL ||
dR_displ == NULL || dT_displ == NULL || dwork == NULL ||
cpuAarray == NULL || cpuTarray == NULL ) {
magma_free(dW0_displ);
magma_free(dW1_displ);
magma_free(dW2_displ);
magma_free(dW3_displ);
magma_free(dW4_displ);
magma_free(dW5_displ);
magma_free(dR_displ);
magma_free(dT_displ);
magma_free(dwork);
magma_free_cpu(cpuAarray);
magma_free_cpu(cpuTarray);
magma_int_t info = MAGMA_ERR_DEVICE_ALLOC;
magma_xerbla( __func__, -(info) );
return info;
}
magma_sdisplace_pointers(dR_displ, dR_array, lddr, 0, 0, batchCount, queue);
magma_sdisplace_pointers(dT_displ, dT_array, lddt, 0, 0, batchCount, queue);
// set dR and dT to zero. if provide_RT == 0 only a tile of size nbxnb is used and overwritten at each step
magmablas_slaset_batched( MagmaFull, lddr, (provide_RT > 0 ? n:min(min_mn,nb)), MAGMA_S_ZERO, MAGMA_S_ZERO, dR_displ, lddr, batchCount, queue );
magmablas_slaset_batched( MagmaFull, lddt, (provide_RT > 0 ? n:min(min_mn,nb)), MAGMA_S_ZERO, MAGMA_S_ZERO, dT_displ, lddt, batchCount, queue );
/*
if ( provide_RT > 0 )
{
magmablas_slaset_q( MagmaFull, lddr, n*batchCount, MAGMA_S_ZERO, MAGMA_S_ZERO, dR, lddr, queue );
magmablas_slaset_q( MagmaFull, lddt, n*batchCount, MAGMA_S_ZERO, MAGMA_S_ZERO, dT, lddt, queue );
}
else
{
magmablas_slaset_q( MagmaFull, lddr, nb*batchCount, MAGMA_S_ZERO, MAGMA_S_ZERO, dR, lddr, queue );
magmablas_slaset_q( MagmaFull, lddt, nb*batchCount, MAGMA_S_ZERO, MAGMA_S_ZERO, dT, lddt, queue );
}
*/
magma_int_t streamid;
const magma_int_t nbstreams=10;
magma_queue_t queues[nbstreams];
for (i=0; i < nbstreams; i++) {
magma_device_t cdev;
magma_getdevice( &cdev );
magma_queue_create( cdev, &queues[i] );
}
magma_getvector( batchCount, sizeof(float*), dA_array, 1, cpuAarray, 1, queue);
magma_getvector( batchCount, sizeof(float*), dT_array, 1, cpuTarray, 1, queue);
for (i=0; i < min_mn; i += nb)
{
ib = min(nb, min_mn-i);
//===============================================
// panel factorization
//===============================================
magma_sdisplace_pointers(dW0_displ, dA_array, ldda, i, i, batchCount, queue);
magma_sdisplace_pointers(dW2_displ, dtau_array, 1, i, 0, batchCount, queue);
if ( provide_RT > 0 )
{
offset_RT = i;
magma_sdisplace_pointers(dR_displ, dR_array, lddr, (provide_RT == 1 ? offset_RT:0), offset_RT, batchCount, queue);
magma_sdisplace_pointers(dT_displ, dT_array, lddt, 0, offset_RT, batchCount, queue);
}
//dwork is used in panel factorization and trailing matrix update
//dW4_displ, dW5_displ are used as workspace and configured inside
magma_sgeqrf_panel_batched(m-i, ib, jb,
dW0_displ, ldda,
dW2_displ,
dT_displ, lddt,
dR_displ, lddr,
dW1_displ,
dW3_displ,
dwork,
dW4_displ, dW5_displ,
info_array,
batchCount, queue);
//===============================================
// end of panel
//===============================================
//===============================================
// update trailing matrix
//===============================================
if ( (n-ib-i) > 0)
{
//dwork is used in panel factorization and trailing matrix update
//reset dW4_displ
ldw = nb;
magma_sset_pointer( dW4_displ, dwork, 1, 0, 0, ldw*n, batchCount, queue );
offset = ldw*n*batchCount;
magma_sset_pointer( dW5_displ, dwork + offset, 1, 0, 0, ldw*n, batchCount, queue );
// set the diagonal of v as one and the upper triangular part as zero already set inside geqrf_panel
//magmablas_slaset_batched( MagmaUpper, ib, ib, MAGMA_S_ZERO, MAGMA_S_ONE, dW0_displ, ldda, batchCount, queue );
//magma_sdisplace_pointers(dW2_displ, dtau_array, 1, i, 0, batchCount, queue);
// it is faster since it is using BLAS-3 GEMM routines, different from lapack implementation
magma_slarft_batched(m-i, ib, 0,
dW0_displ, ldda,
dW2_displ,
dT_displ, lddt,
dW4_displ, nb*lddt,
batchCount, queue);
// perform C = (I-V T^H V^H) * C, C is the trailing matrix
//-------------------------------------------
// USE STREAM GEMM
//-------------------------------------------
use_stream = magma_srecommend_cublas_gemm_stream(MagmaNoTrans, MagmaNoTrans, m-i-ib, n-i-ib, ib);
if ( use_stream )
{
magma_queue_sync(queue);
for (k=0; k < batchCount; k++)
{
streamid = k%nbstreams;
// the queue gemm must take cpu pointer
magma_slarfb_gpu_gemm( MagmaLeft, MagmaConjTrans, MagmaForward, MagmaColumnwise,
m-i, n-i-ib, ib,
cpuAarray[k] + i + i * ldda, ldda,
cpuTarray[k] + offset_RT*lddt, lddt,
cpuAarray[k] + i + (i+ib) * ldda, ldda,
dwork + nb * n * k, -1,
dwork + nb * n * batchCount + nb * n * k, -1, queues[streamid] );
}
// need to synchronise to be sure that panel does not start before
// finishing the update at least of the next panel
// if queue is NULL, no need to sync
if ( queue != NULL ) {
for (magma_int_t s=0; s < nbstreams; s++)
magma_queue_sync(queues[s]);
}
}
//-------------------------------------------
// USE BATCHED GEMM
//-------------------------------------------
else
{
//direct trailing matrix in dW1_displ
magma_sdisplace_pointers(dW1_displ, dA_array, ldda, i, i+ib, batchCount, queue);
magma_slarfb_gemm_batched(
MagmaLeft, MagmaConjTrans, MagmaForward, MagmaColumnwise,
m-i, n-i-ib, ib,
(const float**)dW0_displ, ldda,
(const float**)dT_displ, lddt,
dW1_displ, ldda,
dW4_displ, ldw,
dW5_displ, ldw,
batchCount, queue );
}
}// update the trailing matrix
//===============================================
// copy dR back to V after the trailing matrix update,
// only when provide_RT=0 otherwise the nbxnb block of V is set to diag=1/0
// The upper portion of V could be set totaly to 0 here
if ( provide_RT == 0 )
{
magmablas_slacpy_batched( MagmaUpper, ib, ib, dR_displ, lddr, dW0_displ, ldda, batchCount, queue );
}
}
magma_queue_sync(queue);
for (k=0; k < nbstreams; k++) {
magma_queue_destroy( queues[k] );
}
magma_free(dW0_displ);
magma_free(dW1_displ);
magma_free(dW2_displ);
magma_free(dW3_displ);
magma_free(dW4_displ);
magma_free(dW5_displ);
magma_free(dR_displ);
magma_free(dT_displ);
magma_free(dwork);
magma_free_cpu(cpuAarray);
magma_free_cpu(cpuTarray);
return arginfo;
}
extern "C" magma_int_t
magma_sgeqrf_panel_batched(
magma_int_t m, magma_int_t n, magma_int_t nb,
float** dA_array, magma_int_t ldda,
float** tau_array,
float** dT_array, magma_int_t ldt,
float** dR_array, magma_int_t ldr,
float** dW0_displ,
float** dW1_displ,
float *dwork,
float** dW2_displ,
float** dW3_displ,
magma_int_t *info_array,
magma_int_t batchCount, magma_queue_t queue)
{
magma_int_t j, jb;
magma_int_t ldw = nb;
magma_int_t minmn = min(m,n);
for( j=0; j < minmn; j += nb)
{
jb = min(nb, minmn-j);
magma_sdisplace_pointers(dW0_displ, dA_array, ldda, j, j, batchCount, queue);
magma_sdisplace_pointers(dW2_displ, tau_array, 1, j, 0, batchCount, queue);
magma_sdisplace_pointers(dW3_displ, dR_array, ldr, j, j, batchCount, queue); //
//sub-panel factorization
magma_sgeqr2_batched(
m-j, jb,
dW0_displ, ldda,
dW2_displ,
info_array,
batchCount,
queue);
//copy th whole rectangular n,jb from of dA to dR (it's lower portion (which is V's) will be set to zero if needed at the end)
magma_sdisplace_pointers(dW0_displ, dA_array, ldda, 0, j, batchCount, queue);
magma_sdisplace_pointers(dW3_displ, dR_array, ldr, 0, j, batchCount, queue);
magmablas_slacpy_batched( MagmaFull, minmn, jb, dW0_displ, ldda, dW3_displ, ldr, batchCount, queue );
//set the upper jbxjb portion of V dA(j,j) to 1/0s (note that the rectangular on the top of this triangular of V still non zero but has been copied to dR).
magma_sdisplace_pointers(dW0_displ, dA_array, ldda, j, j, batchCount, queue);
magmablas_slaset_batched( MagmaUpper, jb, jb, MAGMA_S_ZERO, MAGMA_S_ONE, dW0_displ, ldda, batchCount, queue );
if ( (n-j-jb) > 0) //update the trailing matrix inside the panel
{
magma_slarft_sm32x32_batched(m-j, jb,
dW0_displ, ldda,
dW2_displ,
dT_array, ldt,
batchCount, queue);
magma_sdisplace_pointers( dW1_displ, dA_array, ldda, j, j + jb, batchCount, queue );
magma_sset_pointer( dW2_displ, dwork, 1, 0, 0, ldw*n, batchCount, queue );
magma_sset_pointer( dW3_displ, dwork + ldw*n*batchCount, 1, 0, 0, ldw*n, batchCount, queue );
magma_slarfb_gemm_batched(
MagmaLeft, MagmaConjTrans, MagmaForward, MagmaColumnwise,
m-j, n-j-jb, jb,
(const float**)dW0_displ, ldda,
(const float**)dT_array, ldt,
dW1_displ, ldda,
dW2_displ, ldw,
dW3_displ, ldw,
batchCount, queue );
}
}
// copy the remaining portion of dR from dA in case m < n
if ( m < n )
{
magma_sdisplace_pointers(dW0_displ, dA_array, ldda, 0, minmn, batchCount, queue);
magma_sdisplace_pointers(dW3_displ, dR_array, ldr, 0, minmn, batchCount, queue);
magmablas_slacpy_batched( MagmaFull, minmn, n-minmn, dW0_displ, ldda, dW3_displ, ldr, batchCount, queue );
}
// to be consistent set the whole upper nbxnb of V to 0/1s, in this case no need to set it inside sgeqrf_batched
magma_sdisplace_pointers(dW0_displ, dA_array, ldda, 0, 0, batchCount, queue);
magmablas_slaset_batched( MagmaUpper, minmn, n, MAGMA_S_ZERO, MAGMA_S_ONE, dW0_displ, ldda, batchCount, queue );
return MAGMA_SUCCESS;
}