//===================================================================================================================
//===================================================================================================================
//===================================================================================================================
extern "C" void
magma_zlarft_sm32x32_batched(magma_int_t n, magma_int_t k,
magmaDoubleComplex **v_array, magma_int_t ldv,
magmaDoubleComplex **tau_array,
magmaDoubleComplex **T_array, magma_int_t ldt,
magma_int_t batchCount, magma_queue_t queue)
{
if ( k <= 0) return;
//==================================
// GEMV
//==================================
#define USE_GEMV2
#define use_gemm_larft_sm32
#if defined(use_gemm_larft_sm32)
magma_zgemm_batched( MagmaConjTrans, MagmaNoTrans,
k, k, n,
MAGMA_Z_ONE, v_array, ldv,
v_array, ldv,
MAGMA_Z_ZERO, T_array, ldt,
batchCount, queue );
magmablas_zlaset_batched( MagmaLower, k, k,
MAGMA_Z_ZERO, MAGMA_Z_ZERO,
T_array, ldt, batchCount, queue );
#else
#if 1
for (magma_int_t i=0; i < k; i++)
{
//W(1:i-1) := - tau(i) * V(i:n,1:i-1)' * V(i:n,i)
//T( i, i ) = tau( i )
//custom implementation.
#ifdef USE_GEMV2
magmablas_zlarft_gemvrowwise_batched( n-i, i,
tau_array,
v_array, ldv,
T_array, ldt,
batchCount, queue);
#else
magmablas_zlarft_gemvcolwise_batched( n-i, i, v_array, ldv, T_array, ldt, tau_array, batchCount, queue);
#endif
}
#else
//seems to be very slow when k=32 while the one by one loop above is faster
zlarft_gemv_loop_inside_kernel_batched(n, k, tau_array, v_array, ldv, T_array, ldt, batchCount, queue);
#endif
#endif
//==================================
// TRMV
//==================================
//T(1:i-1,i) := T(1:i-1,1:i-1) * W(1:i-1) i=[1:k]
magmablas_zlarft_ztrmv_sm32x32_batched(k, k, tau_array, T_array, ldt, T_array, ldt, batchCount, queue);
}
extern "C" magma_int_t
magma_zgeqrf_batched(
magma_int_t m, magma_int_t n,
magmaDoubleComplex **dA_array,
magma_int_t ldda,
magmaDoubleComplex **tau_array,
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
magma_int_t min_mn = min(m, n);
cudaMemset(info_array, 0, batchCount*sizeof(magma_int_t));
/* Check arguments */
magma_int_t arginfo = 0;
if (m < 0)
arginfo = -1;
else if (n < 0)
arginfo = -2;
else if (ldda < max(1,m))
arginfo = -4;
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 nb = 32;
magma_int_t nnb = 8;
magma_int_t i, k, ib=nb, jb=nnb;
magma_int_t ldw, ldt, ldr, offset;
cublasHandle_t myhandle;
cublasCreate_v2(&myhandle);
magmaDoubleComplex **dW0_displ = NULL;
magmaDoubleComplex **dW1_displ = NULL;
magmaDoubleComplex **dW2_displ = NULL;
magmaDoubleComplex **dW3_displ = NULL;
magmaDoubleComplex **dW4_displ = NULL;
magmaDoubleComplex **dW5_displ = NULL;
magmaDoubleComplex *dwork = NULL;
magmaDoubleComplex *dT = NULL;
magmaDoubleComplex *dR = NULL;
magmaDoubleComplex **dR_array = NULL;
magmaDoubleComplex **dT_array = NULL;
magmaDoubleComplex **cpuAarray = NULL;
magmaDoubleComplex **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)); // used in zlarfb
magma_malloc((void**)&dW5_displ, batchCount * sizeof(*dW5_displ));
magma_malloc((void**)&dR_array, batchCount * sizeof(*dR_array));
magma_malloc((void**)&dT_array, batchCount * sizeof(*dT_array));
ldt = ldr = min(nb, min_mn);
magma_zmalloc(&dwork, (2 * nb * n) * batchCount);
magma_zmalloc(&dR, ldr * n * batchCount);
magma_zmalloc(&dT, ldt * ldt * batchCount);
magma_malloc_cpu((void**) &cpuAarray, batchCount*sizeof(magmaDoubleComplex*));
magma_malloc_cpu((void**) &cpuTarray, batchCount*sizeof(magmaDoubleComplex*));
/* check allocation */
if ( dW0_displ == NULL || dW1_displ == NULL || dW2_displ == NULL || dW3_displ == NULL ||
dW4_displ == NULL || dW5_displ == NULL || dR_array == NULL || dT_array == NULL ||
dR == NULL || dT == 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_array);
magma_free(dT_array);
magma_free(dR);
magma_free(dT);
magma_free(dwork);
free(cpuAarray);
free(cpuTarray);
magma_int_t info = MAGMA_ERR_DEVICE_ALLOC;
magma_xerbla( __func__, -(info) );
return info;
}
magmablas_zlaset_q(MagmaFull, ldr, n*batchCount , MAGMA_Z_ZERO, MAGMA_Z_ZERO, dR, ldr, queue);
magmablas_zlaset_q(MagmaFull, ldt, ldt*batchCount, MAGMA_Z_ZERO, MAGMA_Z_ZERO, dT, ldt, queue);
zset_pointer(dR_array, dR, 1, 0, 0, ldr*min(nb, min_mn), batchCount, queue);
zset_pointer(dT_array, dT, 1, 0, 0, ldt*min(nb, min_mn), batchCount, queue);
magma_queue_t cstream;
magmablasGetKernelStream(&cstream);
magma_int_t streamid;
const magma_int_t nbstreams=32;
magma_queue_t stream[nbstreams];
for(i=0; i<nbstreams; i++) {
magma_queue_create( &stream[i] );
}
magma_getvector( batchCount, sizeof(magmaDoubleComplex*), dA_array, 1, cpuAarray, 1);
magma_getvector( batchCount, sizeof(magmaDoubleComplex*), dT_array, 1, cpuTarray, 1);
magmablasSetKernelStream(NULL);
for(i=0; i<min_mn; i+=nb)
{
ib = min(nb, min_mn-i);
//===============================================
// panel factorization
//===============================================
magma_zdisplace_pointers(dW0_displ, dA_array, ldda, i, i, batchCount, queue);
magma_zdisplace_pointers(dW2_displ, tau_array, 1, i, 0, batchCount, queue);
//dwork is used in panel factorization and trailing matrix update
//dW4_displ, dW5_displ are used as workspace and configured inside
magma_zgeqrf_panel_batched(m-i, ib, jb,
dW0_displ, ldda,
dW2_displ,
dT_array, ldt,
dR_array, ldr,
dW1_displ,
dW3_displ,
dwork,
dW4_displ, dW5_displ,
info_array,
batchCount, myhandle, queue);
//===============================================
// end of panel
//===============================================
//direct panel matrix V in dW0_displ,
magma_zdisplace_pointers(dW0_displ, dA_array, ldda, i, i, batchCount, queue);
// copy the upper part of V into dR
zgeqrf_copy_upper_batched(ib, jb, dW0_displ, ldda, dR_array, ldr, batchCount, queue);
//===============================================
// update trailing matrix
//===============================================
//dwork is used in panel factorization and trailing matrix update
//reset dW4_displ
ldw = nb;
zset_pointer(dW4_displ, dwork, 1, 0, 0, ldw*n, batchCount, queue );
offset = ldw*n*batchCount;
zset_pointer(dW5_displ, dwork + offset, 1, 0, 0, ldw*n, batchCount, queue );
if( (n-ib-i) > 0)
{
// set the diagonal of v as one and the upper triangular part as zero
magmablas_zlaset_batched(MagmaUpper, ib, ib, MAGMA_Z_ZERO, MAGMA_Z_ONE, dW0_displ, ldda, batchCount, queue);
magma_zdisplace_pointers(dW2_displ, tau_array, 1, i, 0, batchCount, queue);
// it is faster since it is using BLAS-3 GEMM routines, different from lapack implementation
magma_zlarft_batched(m-i, ib, 0,
dW0_displ, ldda,
dW2_displ,
dT_array, ldt,
dW4_displ, nb*ldt,
batchCount, myhandle, queue);
// perform C = (I-V T^H V^H) * C, C is the trailing matrix
//-------------------------------------------
// USE STREAM GEMM
//-------------------------------------------
if( (m-i) > 100 && (n-i-ib) > 100)
{
// But since the code use the NULL stream everywhere,
// so I don't need it, because the NULL stream do the sync by itself
//magma_device_sync();
for(k=0; k<batchCount; k++)
{
streamid = k%nbstreams;
magmablasSetKernelStream(stream[streamid]);
// the stream gemm must take cpu pointer
magma_zlarfb_gpu_gemm(MagmaLeft, MagmaConjTrans, MagmaForward, MagmaColumnwise,
m-i, n-i-ib, ib,
cpuAarray[k] + i + i * ldda, ldda,
cpuTarray[k], ldt,
cpuAarray[k] + i + (i+ib) * ldda, ldda,
dwork + nb * n * k, -1,
dwork + nb * n * batchCount + nb * n * k, -1);
}
// need to synchronise to be sure that panel does not start before
// finishing the update at least of the next panel
// BUT no need for it as soon as the other portion of the code
// use the NULL stream which do the sync by itself
//magma_device_sync();
magmablasSetKernelStream(NULL);
}
//-------------------------------------------
// USE BATCHED GEMM
//-------------------------------------------
else
{
//direct trailing matrix in dW1_displ
magma_zdisplace_pointers(dW1_displ, dA_array, ldda, i, i+ib, batchCount, queue);
magma_zlarfb_gemm_batched(
MagmaLeft, MagmaConjTrans, MagmaForward, MagmaColumnwise,
m-i, n-i-ib, ib,
(const magmaDoubleComplex**)dW0_displ, ldda,
(const magmaDoubleComplex**)dT_array, ldt,
dW1_displ, ldda,
dW4_displ, ldw,
dW5_displ, ldw,
batchCount, myhandle, queue);
}
}// update the trailing matrix
//===============================================
// copy dR back to V after the trailing matrix update
magmablas_zlacpy_batched(MagmaUpper, ib, ib, dR_array, ldr, dW0_displ, ldda, batchCount, queue);
}
for(k=0; k<nbstreams; k++) {
magma_queue_destroy( stream[k] );
}
magmablasSetKernelStream(cstream);
cublasDestroy_v2(myhandle);
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_array);
magma_free(dT_array);
magma_free(dR);
magma_free(dT);
magma_free(dwork);
free(cpuAarray);
free(cpuTarray);
return arginfo;
}
//===================================================================================================================
//===================================================================================================================
//===================================================================================================================
extern "C" magma_int_t
magma_zlarft_batched(magma_int_t n, magma_int_t k, magma_int_t stair_T,
magmaDoubleComplex **v_array, magma_int_t ldv,
magmaDoubleComplex **tau_array, magmaDoubleComplex **T_array, magma_int_t ldt,
magmaDoubleComplex **work_array, magma_int_t lwork,
magma_int_t batchCount, magma_queue_t queue)
{
magmaDoubleComplex c_one = MAGMA_Z_ONE;
magmaDoubleComplex c_zero = MAGMA_Z_ZERO;
if ( k <= 0) return 0;
if ( stair_T > 0 && k <= stair_T) return 0;
magma_int_t maxnb = max_shared_bsiz;
if ( lwork < k*ldt)
{
magma_xerbla( __func__, -(10) );
return -10;
}
if ( stair_T > 0 && stair_T > maxnb)
{
magma_xerbla( __func__, -(3) );
return -3;
}
magma_int_t DEBUG=0;
magma_int_t nb = stair_T == 0 ? min(k,maxnb) : stair_T;
magma_int_t i, j, prev_n, mycol, rows;
magmaDoubleComplex **dW1_displ = NULL;
magmaDoubleComplex **dW2_displ = NULL;
magmaDoubleComplex **dW3_displ = NULL;
magmaDoubleComplex **dTstep_array = NULL;
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**)&dTstep_array, batchCount * sizeof(*dTstep_array));
//magmaDoubleComplex *Tstep = k > nb ? work : T;
if (k > nb)
{
magma_zdisplace_pointers(dTstep_array, work_array, lwork, 0, 0, batchCount, queue);
}
else
{
magma_zdisplace_pointers(dTstep_array, T_array, ldt, 0, 0, batchCount, queue);
}
//magma_int_t ldtstep = k > nb ? k : ldt;
magma_int_t ldtstep = ldt; //a enlever
// stair_T = 0 meaning all T
// stair_T > 0 meaning the triangular portion of T has been computed.
// the value of stair_T is the nb of these triangulars
//GEMV compute the whole triangular upper portion of T (phase 1)
// TODO addcublas to check perf
magma_zgemm_batched( MagmaConjTrans, MagmaNoTrans,
k, k, n,
c_one, v_array, ldv,
v_array, ldv,
c_zero, dTstep_array, ldtstep,
batchCount, queue );
magmablas_zlaset_batched( MagmaLower, k, k, MAGMA_Z_ZERO, MAGMA_Z_ZERO, dTstep_array, ldtstep, batchCount, queue );
// no need for it as T is expected to be lower zero
//if (k > nb) magmablas_zlaset_batched( MagmaLower, k, k, MAGMA_Z_ZERO, MAGMA_Z_ZERO, dTstep_array, ldtstep, batchCount, queue );
//TRMV
//T(1:i-1,i) := T(1:i-1,1:i-1) * W(1:i-1) i=[1:k]
// TRMV is split over block of column of size nb
// the update should be done from top to bottom so:
// 1- a gemm using the previous computed columns
// of T to update rectangular upper protion above
// the triangle of my columns
// 2- the columns need to be updated by a serial
// loop over of gemv over itself. since we limit the
// shared memory to nb, this nb column
// are split vertically by chunk of nb rows
dim3 grid(1, 1, batchCount);
for (j=0; j < k; j += nb)
{
prev_n = j;
mycol = min(nb, k-j);
// note that myrow = prev_n + mycol;
if (prev_n > 0 && mycol > 0) {
if (DEBUG == 3) {
printf("doing gemm on the rectangular portion of size %d %d of T(%d,%d)\n",
(int) prev_n, (int) mycol, 0, (int) j );
}
magma_zdisplace_pointers(dW1_displ, dTstep_array, ldtstep, 0, j, batchCount, queue);
magma_zdisplace_pointers(dW2_displ, T_array, ldt, 0, j, batchCount, queue);
magma_zgemm_batched( MagmaNoTrans, MagmaNoTrans,
prev_n, mycol, prev_n,
c_one, T_array, ldt,
dW1_displ, ldtstep,
c_zero, dW2_displ, ldt,
batchCount, queue );
// update my rectangular portion (prev_n,mycol) using sequence of gemv
magma_zdisplace_pointers(dW1_displ, dTstep_array, ldtstep, j, j, batchCount, queue);
magma_zdisplace_pointers(dW3_displ, tau_array, 1, j, 0, batchCount, queue);
for (i=0; i < prev_n; i += nb)
{
rows = min(nb,prev_n-i);
if (DEBUG == 3) {
printf(" doing recztrmv on the rectangular portion of size %d %d of T(%d,%d)\n",
(int) rows, (int) mycol, (int) i, (int) j );
}
if (rows > 0 && mycol > 0)
{
magma_zdisplace_pointers(dW2_displ, T_array, ldt, i, j, batchCount, queue);
magmablas_zlarft_recztrmv_sm32x32_batched(rows, mycol, dW3_displ, dW2_displ, ldt, dW1_displ, ldtstep, batchCount, queue);
}
}
}
// the upper rectangular protion is updated, now if needed update the triangular portion
if (stair_T == 0) {
if (DEBUG == 3) {
printf("doing ztrmv on the triangular portion of size %d %d of T(%d,%d)\n",
(int) mycol, (int) mycol, (int) j, (int) j );
}
if (mycol > 0)
{
magma_zdisplace_pointers(dW1_displ, dTstep_array, ldtstep, j, j, batchCount, queue);
magma_zdisplace_pointers(dW3_displ, tau_array, 1, j, 0, batchCount, queue);
magma_zdisplace_pointers(dW2_displ, T_array, ldt, j, j, batchCount, queue);
magmablas_zlarft_ztrmv_sm32x32_batched(mycol, mycol, dW3_displ, dW1_displ, ldtstep, dW2_displ, ldt, batchCount, queue);
}
}
}// end of j
magma_free(dW1_displ);
magma_free(dW2_displ);
magma_free(dW3_displ);
magma_free(dTstep_array);
return 0;
}
extern "C" magma_int_t
magma_zgeqrf_panel_batched(
magma_int_t m, magma_int_t n, magma_int_t nb,
magmaDoubleComplex** dA_array, magma_int_t ldda,
magmaDoubleComplex** tau_array,
magmaDoubleComplex** dT_array, magma_int_t ldt,
magmaDoubleComplex** dR_array, magma_int_t ldr,
magmaDoubleComplex** dW0_displ,
magmaDoubleComplex** dW1_displ,
magmaDoubleComplex *dwork,
magmaDoubleComplex** dW2_displ,
magmaDoubleComplex** 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_zdisplace_pointers(dW0_displ, dA_array, ldda, j, j, batchCount, queue);
magma_zdisplace_pointers(dW2_displ, tau_array, 1, j, 0, batchCount, queue);
magma_zdisplace_pointers(dW3_displ, dR_array, ldr, j, j, batchCount, queue); //
//sub-panel factorization
magma_zgeqr2_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_zdisplace_pointers(dW0_displ, dA_array, ldda, 0, j, batchCount, queue);
magma_zdisplace_pointers(dW3_displ, dR_array, ldr, 0, j, batchCount, queue);
magmablas_zlacpy_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_zdisplace_pointers(dW0_displ, dA_array, ldda, j, j, batchCount, queue);
magmablas_zlaset_batched( MagmaUpper, jb, jb, MAGMA_Z_ZERO, MAGMA_Z_ONE, dW0_displ, ldda, batchCount, queue );
if ( (n-j-jb) > 0) //update the trailing matrix inside the panel
{
magma_zlarft_sm32x32_batched(m-j, jb,
dW0_displ, ldda,
dW2_displ,
dT_array, ldt,
batchCount, queue);
magma_zdisplace_pointers( dW1_displ, dA_array, ldda, j, j + jb, batchCount, queue );
magma_zset_pointer( dW2_displ, dwork, 1, 0, 0, ldw*n, batchCount, queue );
magma_zset_pointer( dW3_displ, dwork + ldw*n*batchCount, 1, 0, 0, ldw*n, batchCount, queue );
magma_zlarfb_gemm_batched(
MagmaLeft, MagmaConjTrans, MagmaForward, MagmaColumnwise,
m-j, n-j-jb, jb,
(const magmaDoubleComplex**)dW0_displ, ldda,
(const magmaDoubleComplex**)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_zdisplace_pointers(dW0_displ, dA_array, ldda, 0, minmn, batchCount, queue);
magma_zdisplace_pointers(dW3_displ, dR_array, ldr, 0, minmn, batchCount, queue);
magmablas_zlacpy_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 zgeqrf_batched
magma_zdisplace_pointers(dW0_displ, dA_array, ldda, 0, 0, batchCount, queue);
magmablas_zlaset_batched( MagmaUpper, minmn, n, MAGMA_Z_ZERO, MAGMA_Z_ONE, dW0_displ, ldda, batchCount, queue );
return MAGMA_SUCCESS;
}