1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785
|
/*
-- MAGMA (version 2.9.0) --
Univ. of Tennessee, Knoxville
Univ. of California, Berkeley
Univ. of Colorado, Denver
@date January 2025
@author Azzam Haidar
@author Ahmad Abdelfattah
*/
#include <vector>
#include <cmath>
#include "magma_internal.h"
#include "geqrf_batched_panel_decision.h"
#ifdef __cplusplus
extern "C" {
#endif
// Definition of blocking sizes for NVIDIA cards
#if defined(MAGMA_HAVE_CUDA) || defined(MAGMA_HAVE_HIP)
// =============================================================================
/// @addtogroup magma_tuning
/// @{
#define ZPOTRF_SWITCH 160
#define CPOTRF_SWITCH 224
#define DPOTRF_SWITCH 384
#define SPOTRF_SWITCH 432
#define ZPOTRF_VBATCHED_SWITCH 448
#define CPOTRF_VBATCHED_SWITCH 384
#define DPOTRF_VBATCHED_SWITCH 480
#define SPOTRF_VBATCHED_SWITCH 704
/***************************************************************************//**
Returns in nb and recnb the crossover points for potrf based on n
*******************************************************************************/
void magma_get_zpotrf_batched_nbparam(magma_int_t n, magma_int_t *nb, magma_int_t *recnb)
{
if (n <= ZPOTRF_SWITCH)
{
*nb = ZPOTRF_SWITCH;
*recnb = ZPOTRF_SWITCH;
return;
}
*nb = 64;
*recnb = 32;
return;
}
/// @see magma_get_zpotrf_batched_nbparam
void magma_get_cpotrf_batched_nbparam(magma_int_t n, magma_int_t *nb, magma_int_t *recnb)
{
if (n <= CPOTRF_SWITCH)
{
*nb = CPOTRF_SWITCH;
*recnb = CPOTRF_SWITCH;
return;
}
if (n <= 256)
{
*nb = 256;
*recnb = 256;
}
else {
*nb = 128;
*recnb = 32;
}
return;
}
/// @see magma_get_zpotrf_batched_nbparam
void magma_get_dpotrf_batched_nbparam(magma_int_t n, magma_int_t *nb, magma_int_t *recnb)
{
if (n <= DPOTRF_SWITCH)
{
*nb = DPOTRF_SWITCH;
*recnb = DPOTRF_SWITCH;
return;
}
if (n <= 384)
{
*nb = 384;
*recnb = 384;
}
else {
*nb = 128;
*recnb = 32;
}
return;
}
/// @see magma_get_zpotrf_batched_nbparam
void magma_get_spotrf_batched_nbparam(magma_int_t n, magma_int_t *nb, magma_int_t *recnb)
{
if (n <= SPOTRF_SWITCH)
{
*nb = SPOTRF_SWITCH;
*recnb = SPOTRF_SWITCH;
return;
}
if (n <= 464)
{
*nb = 512;
*recnb = 512;
}
else {
*nb = 256;
*recnb = 64;
}
return;
}
/***************************************************************************//**
Returns in nb and recnb the crossover points for getrf
*******************************************************************************/
void magma_get_zgetrf_batched_nbparam(magma_int_t n, magma_int_t *nb, magma_int_t *recnb)
{
*nb = 64;
*recnb = 32;
return;
}
/// @see magma_get_zgetrf_batched_nbparam
void magma_get_cgetrf_batched_nbparam(magma_int_t n, magma_int_t *nb, magma_int_t *recnb)
{
*nb = 128;
*recnb = 32;
return;
}
/// @see magma_get_zgetrf_batched_nbparam
void magma_get_dgetrf_batched_nbparam(magma_int_t n, magma_int_t *nb, magma_int_t *recnb)
{
*nb = 128;
*recnb = 32;
return;
}
/// @see magma_get_zgetrf_batched_nbparam
void magma_get_sgetrf_batched_nbparam(magma_int_t n, magma_int_t *nb, magma_int_t *recnb)
{
*nb = 128;
*recnb = 32;
return;
}
/***************************************************************************//**
Returns in nb and recnb the crossover points for getrf
*******************************************************************************/
void magma_get_zgetrf_vbatched_nbparam(magma_int_t max_m, magma_int_t max_n, magma_int_t *nb, magma_int_t *recnb)
{
*nb = (max_m <= 192) ? 32 :
(max_m <= 384) ? 64 : 128;
*recnb = 32;
return;
}
/// @see magma_get_zgetrf_batched_nbparam
void magma_get_cgetrf_vbatched_nbparam(magma_int_t max_m, magma_int_t max_n, magma_int_t *nb, magma_int_t *recnb)
{
*nb = (max_m <= 192) ? 32 :
(max_m <= 384) ? 64 : 128;
*recnb = 32;
return;
}
/// @see magma_get_zgetrf_batched_nbparam
void magma_get_dgetrf_vbatched_nbparam(magma_int_t max_m, magma_int_t max_n, magma_int_t *nb, magma_int_t *recnb)
{
*nb = (max_m <= 192) ? 32 :
(max_m <= 384) ? 64 : 128;
*recnb = 32;
return;
}
/// @see magma_get_zgetrf_batched_nbparam
void magma_get_sgetrf_vbatched_nbparam(magma_int_t max_m, magma_int_t max_n, magma_int_t *nb, magma_int_t *recnb)
{
*nb = (max_m <= 192) ? 32 :
(max_m <= 384) ? 64 : 128;
*recnb = 32;
return;
}
/***************************************************************************//**
@return nb for geqrf_batched based on n
*******************************************************************************/
// TODO: get_geqrf_nb takes (m,n); this should do likewise
magma_int_t magma_get_zgeqrf_batched_nb(magma_int_t m)
{
return 32;
}
/// @see magma_get_zgeqrf_batched_nb
magma_int_t magma_get_cgeqrf_batched_nb(magma_int_t m)
{
return 32;
}
/// @see magma_get_zgeqrf_batched_nb
magma_int_t magma_get_dgeqrf_batched_nb(magma_int_t m)
{
return 32;
}
/// @see magma_get_zgeqrf_batched_nb
magma_int_t magma_get_sgeqrf_batched_nb(magma_int_t m)
{
return 32;
}
/***************************************************************************//**
@return recommendation (1/0) of using the panel code only (with fused
update) over the main blocked code
*******************************************************************************/
// this is a generic search routine for the lookup tables defined in
// geqrf_batched_panel_decision.h
#define GEQRF_BATCHED_LOOKUP_TABLE_BATCH_STEP (100)
#define GEQRF_BATCHED_MAX_TESTED_WIDTH (256)
static magma_int_t magma_geqrf_batched_get_cutoff_width(
magma_int_t m, magma_int_t n, magma_int_t batchCount,
std::vector<std::vector<magma_int_t>>* lookup_table )
{
magma_int_t cutoff_width = 0;
magma_int_t batch_index = (magma_int_t) nearbyint( (double)batchCount / (double)GEQRF_BATCHED_LOOKUP_TABLE_BATCH_STEP );
batch_index = (batch_index == 0) ? 1 : batch_index; // the first column in the table is for 'm', not the cutoff-width
size_t table_size = (magma_int_t) lookup_table->size();
size_t m_index = 0;
// find the closest m
magma_int_t dist = (magma_int_t)(INT_MAX);
for(size_t i = 0; i < table_size; i++) {
double idist = std::abs(m - (*lookup_table)[i][0]);
if(idist < dist) {
m_index = i;
dist = idist;
}
}
// make sure we don't go out-of-bounds
batch_index = min( batch_index, (magma_int_t)((*lookup_table)[m_index].size()-1) );
cutoff_width = (*lookup_table)[m_index][batch_index];
// if the cutoff_width is equal to the maximum tested width during the tuning sweeps,
// this probably means to use the fused update even for larger widths
cutoff_width = ( cutoff_width == GEQRF_BATCHED_MAX_TESTED_WIDTH ) ? n : cutoff_width;
return cutoff_width;
}
magma_int_t magma_use_zgeqrf_batched_fused_update(magma_int_t m, magma_int_t n, magma_int_t batchCount)
{
magma_int_t use_fused_update = 0, cutoff_width = 0;
std::vector<std::vector<magma_int_t>>* data;
#ifdef MAGMA_HAVE_CUDA
// TODO: add more gpus
data = &zgeqrf_panel_decision_a100;
#else
// TODO: add more gpus
data = &zgeqrf_panel_decision_a100;
#endif
cutoff_width = magma_geqrf_batched_get_cutoff_width(m, n, batchCount, data);
use_fused_update = (n <= cutoff_width) ? 1 : 0;
return use_fused_update;
}
magma_int_t magma_use_cgeqrf_batched_fused_update(magma_int_t m, magma_int_t n, magma_int_t batchCount)
{
magma_int_t use_fused_update = 0, cutoff_width = 0;
std::vector<std::vector<magma_int_t>>* data;
#ifdef MAGMA_HAVE_CUDA
// TODO: add more gpus
data = &cgeqrf_panel_decision_a100;
#else
// TODO: add more gpus
data = &cgeqrf_panel_decision_a100;
#endif
cutoff_width = magma_geqrf_batched_get_cutoff_width(m, n, batchCount, data);
use_fused_update = (n <= cutoff_width) ? 1 : 0;
return use_fused_update;
}
magma_int_t magma_use_dgeqrf_batched_fused_update(magma_int_t m, magma_int_t n, magma_int_t batchCount)
{
magma_int_t use_fused_update = 0, cutoff_width = 0;
std::vector<std::vector<magma_int_t>>* data;
#ifdef MAGMA_HAVE_CUDA
// TODO: add more gpus
data = &dgeqrf_panel_decision_a100;
#else
// TODO: add more gpus
data = &dgeqrf_panel_decision_a100;
#endif
cutoff_width = magma_geqrf_batched_get_cutoff_width(m, n, batchCount, data);
use_fused_update = (n <= cutoff_width) ? 1 : 0;
return use_fused_update;
}
magma_int_t magma_use_sgeqrf_batched_fused_update(magma_int_t m, magma_int_t n, magma_int_t batchCount)
{
magma_int_t use_fused_update = 0, cutoff_width = 0;
std::vector<std::vector<magma_int_t>>* data;
#ifdef MAGMA_HAVE_CUDA
// TODO: add more gpus
data = &sgeqrf_panel_decision_a100;
#else
// TODO: add more gpus
data = &sgeqrf_panel_decision_a100;
#endif
cutoff_width = magma_geqrf_batched_get_cutoff_width(m, n, batchCount, data);
use_fused_update = (n <= cutoff_width) ? 1 : 0;
return use_fused_update;
}
/***************************************************************************//**
@return the recommended #threads for geqr2_fused_sm_batched
*******************************************************************************/
magma_int_t magma_get_zgeqr2_fused_sm_batched_nthreads(magma_int_t m, magma_int_t n)
{
#ifdef MAGMA_HAVE_HIP
// based on MI100, rocm-4.5.0
if ( n <= 4 ) {
if ( m <= 160 ) return 32;
else if ( m <= 288 ) return 64;
else if ( m <= 320 ) return 32;
else if ( m <= 448 ) return 128;
else if ( m <= 480 ) return 64;
else if ( m <= 480 ) return 64;
else return 128;
}
else if ( n <= 8 ) {
if ( m <= 160 ) return 32;
else return 128;
}
else {
return 128; // panel is wide, use a large number of threads
}
#else
// based on A100, cuda-11.2.0
if ( n <= 4 ) {
if ( m <= 224 ) return 32;
else if ( m <= 480 ) return 64;
else if ( m <= 800 ) return 128;
else return 256;
}
else if ( n <= 8 ) {
if ( m <= 96 ) return 32;
else if ( m <= 224 ) return 64;
else if ( m <= 608 ) return 128;
else return 256;
}
else {
return 512; // panel is wide, use a large number of threads
}
#endif
}
magma_int_t magma_get_cgeqr2_fused_sm_batched_nthreads(magma_int_t m, magma_int_t n)
{
#ifdef MAGMA_HAVE_HIP
// based on MI100, rocm-4.5.0
if ( n <= 4 ) {
if ( m <= 192 ) return 32;
else if ( m <= 352 ) return 64;
else if ( m <= 384 ) return 32;
else if ( m <= 608 ) return 128;
else if ( m <= 640 ) return 64;
else return 128;
}
else if ( n <= 8 ) {
if ( m <= 192 ) return 32;
else if ( m <= 288 ) return 128;
else if ( m <= 320 ) return 64;
else if ( m <= 640 ) return 128;
else return 256;
}
else {
return 512; // panel is wide, use a large number of threads
}
#else
// based on A100, cuda-11.2.0
if ( n <= 4 ) {
if ( m <= 288 ) return 32;
else if ( m <= 448 ) return 64;
else if ( m <= 960 ) return 128;
else return 256;
}
else if ( n <= 8 ) {
if ( m <= 160 ) return 32;
else if ( m <= 256 ) return 64;
else if ( m <= 608 ) return 128;
else return 256;
}
else if (n <= 16) {
if ( m <= 288 ) return 128;
else if ( m <= 608 ) return 256;
else return 512;
}
else {
return 512; // panel is too wide, use a large number of threads
}
#endif
}
magma_int_t magma_get_dgeqr2_fused_sm_batched_nthreads(magma_int_t m, magma_int_t n)
{
#ifdef MAGMA_HAVE_HIP
// based on MI100, rocm-4.5.0
if ( n <= 4 ) {
if ( m <= 192 ) return 32;
else if ( m <= 352 ) return 64;
else if ( m <= 384 ) return 32;
else if ( m <= 608 ) return 128;
else if ( m <= 640 ) return 64;
else return 128;
}
else if ( n <= 8 ) {
if ( m <= 192 ) return 32;
else if ( m <= 320 ) return 64;
else if ( m <= 640 ) return 128;
else return 256;
}
else {
return 512; // panel is wide, use a large number of threads
}
#else
// based on A100, cuda-11.2.0
if ( n <= 4 ) {
if ( m <= 224 ) return 32;
else if ( m <= 448 ) return 64;
else if ( m <= 960 ) return 128;
else return 256;
}
else if ( n <= 8 ) {
if ( m <= 160 ) return 32;
else if ( m <= 256 ) return 64;
else if ( m <= 608 ) return 128;
else return 256;
}
else if ( n <= 16 ) {
if ( m <= 224 ) return 128;
else if ( m <= 608 ) return 256;
else return 512;
}
else {
return 512; // panel is too wide, use a large number of threads
}
#endif
}
magma_int_t magma_get_sgeqr2_fused_sm_batched_nthreads(magma_int_t m, magma_int_t n)
{
#ifdef MAGMA_HAVE_HIP
// based on MI100, rocm-4.5.0
if ( n <= 4 ) {
if ( m <= 192 ) return 32;
else if ( m <= 448 ) return 64;
else if ( m <= 736 ) return 128;
else if ( m <= 768 ) return 64;
else return 128;
}
else if ( n <= 8 ) {
if ( m <= 384 ) return 64;
else if ( m <= 640 ) return 128;
else if ( m <= 960 ) return 256;
else if ( m <= 1024 ) return 128;
else return 256;
}
else {
return 512; // panel is wide, use a large number of threads
}
#else
// based on A100, cuda-11.2.0
if ( n <= 4 ) {
if ( m <= 192 ) return 32;
else if ( m <= 960 ) return 64;
else return 128;
}
else if ( n <= 8 ) {
if ( m <= 160 ) return 32;
else if ( m <= 480 ) return 64;
else if ( m <= 992 ) return 128;
else return 256;
}
else if ( n <= 16 ) {
if ( m <= 224 ) return 64;
else if ( m <= 480 ) return 128;
else if ( m <= 1024 ) return 256;
else return 512;
}
else {
return 512; // panel is too wide, use a large number of threads
}
#endif
}
/***************************************************************************//**
@return the crossover point between the _lg or the kernel directly
*******************************************************************************/
magma_int_t magma_get_zpotrf_batched_crossover()
{
magma_int_t arch = magma_getdevice_arch();
if(arch >= 700){
return 352;
}
else if(arch >= 600){
return 352;
}
else{
return 160;
}
}
/// @see magma_get_zpotrf_batched_crossover
magma_int_t magma_get_cpotrf_batched_crossover()
{
magma_int_t arch = magma_getdevice_arch();
if(arch >= 700){
return 576;
}
else if(arch >= 600){
return 544;
}
else{
return 224;
}
}
/// @see magma_get_zpotrf_batched_crossover
magma_int_t magma_get_dpotrf_batched_crossover()
{
magma_int_t arch = magma_getdevice_arch();
if(arch >= 700){
return 640;
}
else if(arch >= 600){
return 576;
}
else{
return 384;
}
}
/// @see magma_get_zpotrf_batched_crossover
magma_int_t magma_get_spotrf_batched_crossover()
{
magma_int_t arch = magma_getdevice_arch();
if(arch >= 700){
return 608;
}
else if(arch >= 600){
return 544;
}
else{
return 432;
}
}
/***************************************************************************//**
@return the crossover point between the _lg or the kernel directly
*******************************************************************************/
magma_int_t magma_get_zpotrf_vbatched_crossover()
{
return ZPOTRF_VBATCHED_SWITCH;
}
/// @see magma_get_zpotrf_vbatched_crossover
magma_int_t magma_get_cpotrf_vbatched_crossover()
{
return CPOTRF_VBATCHED_SWITCH;
}
/// @see magma_get_zpotrf_vbatched_crossover
magma_int_t magma_get_dpotrf_vbatched_crossover()
{
return DPOTRF_VBATCHED_SWITCH;
}
/// @see magma_get_zpotrf_vbatched_crossover
magma_int_t magma_get_spotrf_vbatched_crossover()
{
return SPOTRF_VBATCHED_SWITCH;
}
/***************************************************************************//**
@return the ntcol value for very small xgetri_batched ( m = n )
*******************************************************************************/
magma_int_t magma_get_zgetri_batched_ntcol(magma_int_t m, magma_int_t n)
{
magma_int_t ntcol = 1;
// TODO: conduct tuning experiment for ntcol in z precision
if(m == n){
if( m < 16)
ntcol = 2;
else
ntcol = 1;
}
return ntcol;
}
/// @see magma_get_zgetri_batched_ntcol
magma_int_t magma_get_cgetri_batched_ntcol(magma_int_t m, magma_int_t n)
{
magma_int_t ntcol = 1;
// TODO: conduct tuning experiment for ntcol in z precision
if(m == n){
if( m < 16)
ntcol = 2;
else
ntcol = 1;
}
return ntcol;
}
/// @see magma_get_zgetri_batched_ntcol
magma_int_t magma_get_dgetri_batched_ntcol(magma_int_t m, magma_int_t n)
{
// TODO: conduct tuning experiment for ntcol on Kepler
magma_int_t arch = magma_getdevice_arch();
magma_int_t ntcol = 1;
if(m == n ){
switch(m){
case 1: ntcol = (arch >= 600) ? 8: 32 ; break;
case 2: ntcol = (arch >= 600) ? 4: 16 ; break;
case 3: ntcol = (arch >= 600) ? 3: 8 ; break;
case 4: ntcol = (arch >= 600) ? 3: 16 ; break;
case 5: ntcol = (arch >= 600) ? 2: 8 ; break;
case 6: ntcol = (arch >= 600) ? 2: 4 ; break;
case 7: ntcol = (arch >= 600) ? 2: 4 ; break;
case 8: ntcol = (arch >= 600) ? 32: 32 ; break;
case 9: ntcol = (arch >= 600) ? 16: 4 ; break;
case 10: ntcol = (arch >= 600) ? 14: 4 ; break;
case 11: ntcol = (arch >= 600) ? 10: 8 ; break;
case 12: ntcol = (arch >= 600) ? 12: 8 ; break;
case 13: ntcol = (arch >= 600) ? 12: 8 ; break;
case 14: ntcol = (arch >= 600) ? 14: 8 ; break;
case 15: ntcol = (arch >= 600) ? 8: 8 ; break;
case 16: ntcol = (arch >= 600) ? 10: 8 ; break;
case 17: ntcol = (arch >= 600) ? 5: 4 ; break;
case 18: ntcol = (arch >= 600) ? 4: 4 ; break;
case 19: ntcol = (arch >= 600) ? 4: 16 ; break;
case 20: ntcol = (arch >= 600) ? 4: 16 ; break;
case 21: ntcol = (arch >= 600) ? 4: 16 ; break;
case 22: ntcol = (arch >= 600) ? 4: 4 ; break;
case 23: ntcol = (arch >= 600) ? 4: 4 ; break;
case 24: ntcol = (arch >= 600) ? 4: 4 ; break;
case 25: ntcol = (arch >= 600) ? 4: 4 ; break;
case 26: ntcol = (arch >= 600) ? 4: 4 ; break;
case 27: ntcol = (arch >= 600) ? 4: 4 ; break;
case 28: ntcol = (arch >= 600) ? 4: 4 ; break;
case 29: ntcol = (arch >= 600) ? 4: 4 ; break;
case 30: ntcol = (arch >= 600) ? 4: 4 ; break;
case 31: ntcol = (arch >= 600) ? 2: 4 ; break;
case 32: ntcol = (arch >= 600) ? 2: 4 ; break;
default: ntcol = 1;
}
}
return ntcol;
}
/// @see magma_get_zgetri_batched_ntcol
magma_int_t magma_get_sgetri_batched_ntcol(magma_int_t m, magma_int_t n)
{
// TODO: conduct tuning experiment for ntcol on Kepler
magma_int_t arch = magma_getdevice_arch();
magma_int_t ntcol = 1;
if(m == n ){
switch(m){
case 1: ntcol = (arch >= 600) ? 9 : 32 ; break;
case 2: ntcol = (arch >= 600) ? 4 : 16 ; break;
case 3: ntcol = (arch >= 600) ? 3 : 8 ; break;
case 4: ntcol = (arch >= 600) ? 4 : 8 ; break;
case 5: ntcol = (arch >= 600) ? 4 : 8 ; break;
case 6: ntcol = (arch >= 600) ? 3 : 8 ; break;
case 7: ntcol = (arch >= 600) ? 3 : 8 ; break;
case 8: ntcol = (arch >= 600) ? 14 : 32 ; break;
case 9: ntcol = (arch >= 600) ? 16 : 8 ; break;
case 10: ntcol = (arch >= 600) ? 16 : 16 ; break;
case 11: ntcol = (arch >= 600) ? 32 : 8 ; break;
case 12: ntcol = (arch >= 600) ? 32 : 8 ; break;
case 13: ntcol = (arch >= 600) ? 32 : 8 ; break;
case 14: ntcol = (arch >= 600) ? 16 : 8 ; break;
case 15: ntcol = (arch >= 600) ? 14 : 8 ; break;
case 16: ntcol = (arch >= 600) ? 16 : 8 ; break;
case 17: ntcol = (arch >= 600) ? 9 : 4 ; break;
case 18: ntcol = (arch >= 600) ? 9 : 4 ; break;
case 19: ntcol = (arch >= 600) ? 9 : 4 ; break;
case 20: ntcol = (arch >= 600) ? 8 : 8 ; break;
case 21: ntcol = (arch >= 600) ? 4 : 4 ; break;
case 22: ntcol = (arch >= 600) ? 4 : 4 ; break;
case 23: ntcol = (arch >= 600) ? 8 : 4 ; break;
case 24: ntcol = (arch >= 600) ? 8 : 4 ; break;
case 25: ntcol = (arch >= 600) ? 4 : 4 ; break;
case 26: ntcol = (arch >= 600) ? 4 : 8 ; break;
case 27: ntcol = (arch >= 600) ? 4 : 8 ; break;
case 28: ntcol = (arch >= 600) ? 4 : 8 ; break;
case 29: ntcol = (arch >= 600) ? 4 : 4 ; break;
case 30: ntcol = (arch >= 600) ? 4 : 4 ; break;
case 31: ntcol = (arch >= 600) ? 4 : 4 ; break;
case 32: ntcol = (arch >= 600) ? 4 : 4 ; break;
default: ntcol = 1;
}
}
return ntcol;
}
/***************************************************************************//**
@return the stop nb value for recursive batched trsm
*******************************************************************************/
magma_int_t magma_get_ztrsm_batched_stop_nb(magma_side_t side, magma_int_t m, magma_int_t n)
{
if(side == MagmaLeft){
if (m <= 2) return 2;
else if(m <= 4) return 4;
else if(m <= 8) return 8;
else{
if(n <= 32) return 16;
else return 8;
}
}else{ // side = MagmaRight
if(n <= 2) return 2;
else return 8;
}
}
/// @see magma_get_ztrsm_batched_stop_nb
magma_int_t magma_get_ctrsm_batched_stop_nb(magma_side_t side, magma_int_t m, magma_int_t n)
{
if(side == MagmaLeft){
if(m <= 8) return 8;
else return 16;
}else{ // side = MagmaRight
if(n <= 4) return 4;
else return 16;
}
}
/// @see magma_get_ztrsm_batched_stop_nb
magma_int_t magma_get_dtrsm_batched_stop_nb(magma_side_t side, magma_int_t m, magma_int_t n)
{
if(side == MagmaLeft){
if (m <= 2) return 8;
else if(m <= 4) return 16;
else return 32;
}else{ // side = MagmaRight
if(n <= 4) return 4;
else return 32;
}
}
/// @see magma_get_ztrsm_batched_stop_nb
magma_int_t magma_get_strsm_batched_stop_nb(magma_side_t side, magma_int_t m, magma_int_t n)
{
if(side == MagmaLeft){
return 16;
}else{ // side = MagmaRight
if (n <= 4) return 4;
else if(n <= 8) return 8;
else return 32;
}
}
// =============================================================================
/// @}
// end group magma_tuning
#endif // MAGMA_HAVE_CUDA
#ifdef __cplusplus
} // extern "C"
#endif
|