void findVTpos(magma_int_t N, magma_int_t NB, magma_int_t Vblksiz, magma_int_t sweep, magma_int_t st, magma_int_t *Vpos, magma_int_t *TAUpos, magma_int_t *Tpos, magma_int_t *myblkid)
{
// to be able to use and compare with the old reduction function.
// route the old function to the new ones because the changes are done on the new function.
magma_int_t ldv = NB + Vblksiz;
magma_int_t ldt = Vblksiz;
magma_bulge_findVTAUTpos(N, NB, Vblksiz, sweep, st, ldv, ldt,
Vpos, TAUpos, Tpos, myblkid);
return;
magma_int_t locblknb, prevblkcnt, prevGblkid;
magma_int_t myblknb, nbprevGblk, mastersweep;
magma_int_t blkid, locj, LDV;
locblknb = 0;
prevblkcnt = 0;
myblknb = 0;
nbprevGblk = sweep/Vblksiz;
for (prevGblkid = 0; prevGblkid < nbprevGblk; prevGblkid++)
{
mastersweep = prevGblkid * Vblksiz;
locblknb = plasma_ceildiv((N-(mastersweep+2)),NB);
prevblkcnt = prevblkcnt + locblknb;
}
myblknb = plasma_ceildiv((st-sweep),NB);
blkid = prevblkcnt + myblknb -1;
locj = sweep%Vblksiz;
LDV = NB + Vblksiz;
*myblkid= blkid;
*Vpos = blkid*Vblksiz*LDV + locj*LDV + locj;
*TAUpos = blkid*Vblksiz + locj;
*Tpos = blkid*Vblksiz*Vblksiz + locj*Vblksiz + locj;
//printf("voici blkid %d locj %d vpos %d tpos %d \n",blkid,locj,*Vpos,*Tpos);
}
void findVTsiz(magma_int_t N, magma_int_t NB, magma_int_t Vblksiz, magma_int_t *blkcnt, magma_int_t *LDV)
{
magma_int_t colblk, nbcolblk;
magma_int_t myblknb, mastersweep;
*blkcnt = 0;
nbcolblk = plasma_ceildiv((N-1),Vblksiz);
for (colblk = 0; colblk<nbcolblk; colblk++)
{
mastersweep = colblk * Vblksiz;
if(colblk == (nbcolblk-1))
myblknb = magma_ceildiv((N-(mastersweep+1)),NB);
else
myblknb = magma_ceildiv((N-(mastersweep+2)),NB);
*blkcnt = *blkcnt + myblknb;
//printf("voici nbcolblk %d master sweep %d blkcnt %d \n",nbcolblk, mastersweep,*blkcnt);
}
*LDV= NB+Vblksiz;
}
extern "C" void magma_zbulge_applyQ(
magma_int_t WANTZ, magma_side_t SIDE, magma_int_t NE, magma_int_t N, magma_int_t NB,
magma_int_t Vblksiz, magmaDoubleComplex *E, magma_int_t LDE,
magmaDoubleComplex *V, magmaDoubleComplex *TAU, magmaDoubleComplex *T,
magma_int_t *INFO, magmaDoubleComplex *dV, magmaDoubleComplex *dT,
magmaDoubleComplex *dE, magma_int_t copytype )
{
//%===========================
//% local variables
//%===========================
magmaDoubleComplex c_zero = MAGMA_Z_ZERO;
magmaDoubleComplex c_one = MAGMA_Z_ONE;
magma_int_t LDT, LDV, firstcolj;
magma_int_t bg, nbGblk, rownbm, k, m, n;
magma_int_t st, ed, fst, vlen, vnb, colj, len;
magma_int_t blkid, vpos, taupos, tpos;
//magmaDoubleComplex *WORK;
magma_int_t LWORK;
magma_int_t cur_blksiz, avai_blksiz, ncolinvolvd;
magma_int_t nbgr, colst, coled, versionL, versionR;
magma_int_t blkcnt=-1;
magma_queue_t orig_stream;
magmablasGetKernelStream( &orig_stream );
*INFO=0;
versionL = 113;
versionR = 92;
LDT = Vblksiz;
LDV = NB+Vblksiz-1;
//blklen = LDV*Vblksiz;
nbGblk = plasma_ceildiv((N-1), Vblksiz);
//magma_zmalloc_cpu( &WORK, LWORK );
/* find the size of the matrix T V*/
findVTsiz(N, NB, Vblksiz, &blkcnt, &LDV);
/* Copy E & V & T to the GPU in dE and dV and dT
* depending on copytype:
* 1: mean copy only V
* 2: mean copy V and T
* 3: mean copy V, T and E
* */
if (copytype > 0) magma_zsetmatrix( LDV, blkcnt*Vblksiz, V, LDV, dV, LDV );
if (copytype > 1) magma_zsetmatrix( LDT, blkcnt*Vblksiz, T, LDT, dT, LDT );
if (copytype > 2) magma_zsetmatrix( N, NE, E, N, dE, N );
magmaDoubleComplex *dwork;
//ldwork = NE;
LWORK = 2*N*max(Vblksiz, 64);
if (MAGMA_SUCCESS != magma_zmalloc( &dwork, LWORK )) {
printf ("!!!! magma_zbulge_applyQ magma_alloc failed for: dwork\n" );
exit(-1);
}
/* SIDE LEFT meaning apply E = Q*E = (q_1*q_2*.....*q_n) * E ==> so traverse Vs in reverse order (forward) from q_n to q_1
* Also E is splitten by row meaning each apply consist in a block of row (horizontal block) */
/* SIDE RIGHT meaning apply E = E*Q = E * (q_1*q_2*.....*q_n) ==> so tarverse Vs in normal order (forward) from q_1 to q_n
* Also E is splitten by col meaning each apply consist in a block of col (vertical block) */
/* WANTZ = 1 meaning E is IDENTITY so form Q using optimized update.
* So we use the reverse order from small q to large one,
* so from q_n to q_1 so Left update to Identity.
* Use versionL 113 because in 114 we need to update the whole matrix and not in icreasing order.
* WANTZ = 2 meaning E is a full matrix and need to be updated from Left or Right so use normal update
* */
if (WANTZ == 1) {
versionL=113;
SIDE = MagmaLeft;
//set the matrix to Identity here to avoid copying it from the CPU
magmablas_zlaset( MagmaFull, N, N, c_zero, c_one, dE, N );
}
printf(" APPLY Q_v115 GPU with N %d NB %d Vblksiz %d SIDE %c versionL %d versionR %d WANTZ %d \n",
(int) N, (int) NB, (int) Vblksiz, SIDE, (int) versionL, (int) versionR, (int) WANTZ);
#if defined(USESTREAM)
magma_int_t N2=N/2;
magma_int_t N1=N-N2;
printf("using stream\n");
magma_queue_t stream[2];
magma_queue_create( &stream[0] );
magma_queue_create( &stream[1] );
#endif
if (SIDE == MagmaLeft) {
if (versionL == 113) {
for (bg = nbGblk; bg > 0; bg--) {
firstcolj = (bg-1)*Vblksiz + 1;
if (bg == nbGblk)
rownbm = plasma_ceildiv((N-(firstcolj)), NB); // last blk has size=1 used for complex to handle A(N,N-1)
else
rownbm = plasma_ceildiv((N-(firstcolj+1)), NB);
for (m = rownbm; m > 0; m--) {
vlen = 0;
vnb = 0;
colj = (bg-1)*Vblksiz; // for k=0; I compute the fst and then can remove it from the loop
fst = (rownbm -m)*NB+colj +1;
for (k=0; k < Vblksiz; k++) {
colj = (bg-1)*Vblksiz + k;
st = (rownbm -m)*NB+colj +1;
ed = min(st+NB-1, N-1);
if (st > ed) break;
if ((st == ed) && (colj != N-2)) break;
vlen=ed-fst+1;
vnb=k+1;
}
colst = (bg-1)*Vblksiz;
findVTpos(N, NB, Vblksiz, colst, fst, &vpos, &taupos, &tpos, &blkid);
printf("voici bg %d m %d vlen %d vnb %d fcolj %d vpos %d taupos %d \n", (int) bg, (int) m, (int) vlen, (int) vnb, (int) colst+1, (int) vpos+1, (int) taupos+1);
if ((vlen > 0) && (vnb > 0)) {
if (WANTZ == 1) {
len = N-colst;
magma_zlarfb_gpu( MagmaLeft, MagmaNoTrans, MagmaForward, MagmaColumnwise, vlen, len, vnb, dV(vpos), LDV, dT(tpos), LDT, dE(fst,colst), LDE, dwork, len);
} else {
magma_zlarfb_gpu( MagmaLeft, MagmaNoTrans, MagmaForward, MagmaColumnwise, vlen, NE, vnb, dV(vpos), LDV, dT(tpos), LDT, dE(fst,0), LDE, dwork, NE);
}
}
}
}
} else if (versionL == 114) {
rownbm = plasma_ceildiv((N-1), NB);
for (m = rownbm; m > 0; m--) {
ncolinvolvd = min(N-1, m*NB);
avai_blksiz=min(Vblksiz, ncolinvolvd);
nbgr = plasma_ceildiv(ncolinvolvd, avai_blksiz);
for (n = nbgr; n > 0; n--) {
vlen = 0;
vnb = 0;
cur_blksiz = min(ncolinvolvd-(n-1)*avai_blksiz, avai_blksiz);
colst = (n-1)*avai_blksiz;
coled = colst + cur_blksiz -1;
fst = (rownbm -m)*NB+colst +1;
for (colj=colst; colj <= coled; colj++) {
st = (rownbm -m)*NB+colj +1;
ed = min(st+NB-1, N-1);
if (st > ed) break;
if ((st == ed) && (colj != N-2)) break;
vlen=ed-fst+1;
vnb=vnb+1;
}
findVTpos(N, NB, Vblksiz, colst, fst, &vpos, &taupos, &tpos, &blkid);
//printf("voici bg %d m %d vlen %d vnb %d fcolj %d vpos %d taupos %d \n", bg, m, vlen, vnb, colst+1, vpos+1, taupos+1);
if ((vlen > 0) && (vnb > 0)) {
#if defined(USESTREAM)
magmablasSetKernelStream(stream[0]);
magma_zlarfb_gpu( MagmaLeft, MagmaNoTrans, MagmaForward, MagmaColumnwise, vlen, N1, vnb, dV(vpos), LDV, dT(tpos), LDT, dE(fst,0), LDE, dwork, N1);
magmablasSetKernelStream(stream[1]);
magma_zlarfb_gpu( MagmaLeft, MagmaNoTrans, MagmaForward, MagmaColumnwise, vlen, N2, vnb, dV(vpos), LDV, dT(tpos), LDT, dE(fst,N1), LDE, &dwork[N1*Vblksiz], N2);
#else
magma_zlarfb_gpu( MagmaLeft, MagmaNoTrans, MagmaForward, MagmaColumnwise, vlen, NE, vnb, dV(vpos), LDV, dT(tpos), LDT, dE(fst,0), LDE, dwork, NE);
#endif
}
}
}
}
} else if (SIDE == MagmaRight) {
if (versionR == 91) {
for (bg =1; bg <= nbGblk; bg++) {
firstcolj = (bg-1)*Vblksiz + 1;
rownbm = plasma_ceildiv((N-(firstcolj+1)), NB);
if (bg == nbGblk) rownbm = plasma_ceildiv((N-(firstcolj)), NB); // last blk has size=1 used for complex to handle A(N,N-1)
for (m = 1; m <= rownbm; m++) {
vlen = 0;
vnb = 0;
// for k=0; I compute the fst and then can remove it from the loop
colj = (bg-1)*Vblksiz;
fst = (rownbm -m)*NB+colj +1;
for (k=0; k < Vblksiz; k++) {
colj = (bg-1)*Vblksiz + k;
st = (rownbm -m)*NB+colj +1;
ed = min(st+NB-1, N-1);
if (st > ed) break;
if ((st == ed) && (colj != N-2)) break;
vlen=ed-fst+1;
vnb=k+1;
}
colj = (bg-1)*Vblksiz;
findVTpos(N, NB, Vblksiz, colj, fst, &vpos, &taupos, &tpos, &blkid);
//printf("voici bg %d m %d vlen %d vnb %d fcolj %d vpos %d taupos %d \n", bg, m, vlen, vnb, colj, vpos, taupos);
if ((vlen > 0) && (vnb > 0)) {
#if defined(USESTREAM)
magmablasSetKernelStream(stream[0]);
magma_zlarfb_gpu( MagmaRight, MagmaNoTrans, MagmaForward, MagmaColumnwise, N1, vlen, vnb, dV(vpos), LDV, dT(tpos), LDT, dE(0, fst), LDE, dwork, N1);
magmablasSetKernelStream(stream[1]);
magma_zlarfb_gpu( MagmaRight, MagmaNoTrans, MagmaForward, MagmaColumnwise, N2, vlen, vnb, dV(vpos), LDV, dT(tpos), LDT, dE(N1, fst), LDE, &dwork[N1*Vblksiz], N2);
#else
magma_zlarfb_gpu( MagmaRight, MagmaNoTrans, MagmaForward, MagmaColumnwise, NE, vlen, vnb, dV(vpos), LDV, dT(tpos), LDT, dE(0, fst), LDE, dwork, NE);
#endif
}
}
}
} else if (versionR == 92) {
rownbm = plasma_ceildiv((N-1), NB);
for (m = 1; m <= rownbm; m++) {
ncolinvolvd = min(N-1, m*NB);
avai_blksiz=min(Vblksiz, ncolinvolvd);
nbgr = plasma_ceildiv(ncolinvolvd, avai_blksiz);
for (n = 1; n <= nbgr; n++) {
vlen = 0;
vnb = 0;
cur_blksiz = min(ncolinvolvd-(n-1)*avai_blksiz, avai_blksiz);
colst = (n-1)*avai_blksiz;
coled = colst + cur_blksiz -1;
fst = (rownbm -m)*NB+colst +1;
for (colj=colst; colj <= coled; colj++) {
st = (rownbm -m)*NB+colj +1;
ed = min(st+NB-1, N-1);
if (st > ed) break;
if ((st == ed) && (colj != N-2)) break;
vlen=ed-fst+1;
vnb=vnb+1;
}
findVTpos(N, NB, Vblksiz, colst, fst, &vpos, &taupos, &tpos, &blkid);
if ((vlen > 0) && (vnb > 0)) {
#if defined(USESTREAM)
magmablasSetKernelStream(stream[0]);
magma_zlarfb_gpu( MagmaRight, MagmaNoTrans, MagmaForward, MagmaColumnwise, N1, vlen, vnb, dV(vpos), LDV, dT(tpos), LDT, dE(0, fst), LDE, dwork, N1);
magmablasSetKernelStream(stream[1]);
magma_zlarfb_gpu( MagmaRight, MagmaNoTrans, MagmaForward, MagmaColumnwise, N2, vlen, vnb, dV(vpos), LDV, dT(tpos), LDT, dE(N1, fst), LDE, &dwork[N1*Vblksiz], N2);
#else
magma_zlarfb_gpu( MagmaRight, MagmaNoTrans, MagmaForward, MagmaColumnwise, NE, vlen, vnb, dV(vpos), LDV, dT(tpos), LDT, dE(0, fst), LDE, dwork, NE);
#endif
}
}
}
}
} else {
printf("ERROR SIDE %d\n", SIDE);
}
#if defined(USESTREAM)
magma_queue_destroy( stream[0] );
magma_queue_destroy( stream[1] );
#endif
magmablasSetKernelStream( orig_stream );
}
void plasma_pzlarft_blgtrd(plasma_context_t *plasma)
{
int my_core_id = PLASMA_RANK;
int cores_num = plasma->world_size;
/*===========================*/
int N, NB,Vblksiz;
PLASMA_Complex64_t *V;
PLASMA_Complex64_t *T;
PLASMA_Complex64_t *TAU;
PLASMA_sequence *sequence;
PLASMA_request *request;
/*===========================
* local variables
*===========================*/
int LDT, LDV;
int Vm, Vn, mt, nt;
int myrow, mycol, blkj, blki;
int firstrow;
int blkid,vpos,taupos,tpos;
int blkpercore,blkcnt, myid;
plasma_unpack_args_8(N, NB, Vblksiz, V, T, TAU, sequence, request);
if (sequence->status != PLASMA_SUCCESS)
return;
/* Quick return */
if (N == 0){
return;
}
if (NB == 0){
return;
}
if (NB == 1){
return;
}
findVTsiz(N, NB, Vblksiz, &blkcnt, &LDV);
blkpercore = blkcnt/cores_num;
blkpercore = blkpercore==0 ? 1:blkpercore;
LDT = Vblksiz;
LDV = NB+Vblksiz-1;
/*========================================
* compute the T's in parallel.
* The Ts are independent so each core pick
* a T and compute it. The loop is based on
* the version 113 of the pzunmqr_blgtrd.c
* which go over the losange block_column
* by block column. but it is not important
* here the order because Ts are independent.
* ========================================
*/
nt = plasma_ceildiv((N-1),Vblksiz);
for (blkj=nt-1; blkj>=0; blkj--) {
/* the index of the first row on the top of block (blkj) */
firstrow = blkj * Vblksiz + 1;
/*find the number of tile for this block */
if( blkj == nt-1 )
mt = plasma_ceildiv( N - firstrow, NB);
else
mt = plasma_ceildiv( N - (firstrow+1), NB);
/*loop over the tiles find the size of the Vs and apply it */
for (blki=mt; blki>0; blki--) {
/*calculate the size of each losange of Vs= (Vm,Vn)*/
myrow = firstrow + (mt-blki)*NB;
mycol = blkj*Vblksiz;
Vm = min( NB+Vblksiz-1, N-myrow);
if( ( blkj == nt-1 ) && ( blki == mt ) ){
Vn = min (Vblksiz, Vm);
} else {
Vn = min (Vblksiz, Vm-1);
}
/*calculate the pointer to the Vs and the Ts.
* Note that Vs and Ts have special storage done
* by the bulgechasing function*/
findVTpos(N,NB,Vblksiz,mycol,myrow, &vpos, &taupos, &tpos, &blkid);
myid = blkid/blkpercore;
if( my_core_id==(myid%cores_num) ){
if( ( Vm > 0 ) && ( Vn > 0 ) ){
LAPACKE_zlarft_work(LAPACK_COL_MAJOR,
lapack_const(PlasmaForward),
lapack_const(PlasmaColumnwise),
Vm, Vn, V(vpos), LDV, TAU(taupos), T(tpos), LDT);
}
}
}
}
}