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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805
|
/*! \file */
/* ************************************************************************
* Copyright (C) 2020-2022 Advanced Micro Devices, Inc. All rights Reserved.
*
* Permission is hereby granted, free of charge, to any person obtaining a copy
* of this software and associated documentation files (the "Software"), to deal
* in the Software without restriction, including without limitation the rights
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
* copies of the Software, and to permit persons to whom the Software is
* furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in
* all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
* THE SOFTWARE.
*
* ************************************************************************ */
/*! \file
* \brief gbyte.hpp provides data transfer counts of Sparse Linear Algebra Subprograms
* of Level 1, 2 and 3.
*/
#pragma once
#ifndef GBYTE_HPP
#define GBYTE_HPP
#include <rocsparse.h>
/*
* ===========================================================================
* level 1 SPARSE
* ===========================================================================
*/
template <typename T, typename I>
constexpr double axpby_gbyte_count(I nnz)
{
return (nnz * sizeof(I) + (3.0 * nnz) * sizeof(T)) / 1e9;
}
template <typename T, typename I>
constexpr double doti_gbyte_count(I nnz)
{
return (nnz * sizeof(I) + (2.0 * nnz) * sizeof(T)) / 1e9;
}
template <typename T, typename I>
constexpr double gthr_gbyte_count(I nnz)
{
return (nnz * sizeof(I) + (2.0 * nnz) * sizeof(T)) / 1e9;
}
template <typename T>
constexpr double gthrz_gbyte_count(rocsparse_int nnz)
{
return (nnz * sizeof(rocsparse_int) + (2.0 * nnz) * sizeof(T)) / 1e9;
}
template <typename T, typename I>
constexpr double roti_gbyte_count(I nnz)
{
return (nnz * sizeof(I) + (3.0 * nnz) * sizeof(T)) / 1e9;
}
template <typename T, typename I>
constexpr double sctr_gbyte_count(I nnz)
{
return (nnz * sizeof(I) + (2.0 * nnz) * sizeof(T)) / 1e9;
}
/*
* ===========================================================================
* level 2 SPARSE
* ===========================================================================
*/
template <typename T>
constexpr double bsrmv_gbyte_count(rocsparse_int mb,
rocsparse_int nb,
rocsparse_int nnzb,
rocsparse_int bsr_dim,
bool beta = false)
{
return ((mb + 1 + nnzb) * sizeof(rocsparse_int)
+ ((mb + nb) * bsr_dim + nnzb * bsr_dim * bsr_dim + (beta ? mb * bsr_dim : 0))
* sizeof(T))
/ 1e9;
}
template <typename T, typename I>
constexpr double coomv_gbyte_count(I M, I N, I nnz, bool beta = false)
{
return (2.0 * nnz * sizeof(I) + (M + N + nnz + (beta ? M : 0)) * sizeof(T)) / 1e9;
}
template <typename T, typename I, typename J>
constexpr double csrmv_gbyte_count(J M, J N, I nnz, bool beta = false)
{
return ((M + 1) * sizeof(I) + nnz * sizeof(J) + (M + N + nnz + (beta ? M : 0)) * sizeof(T))
/ 1e9;
}
template <typename T, typename I, typename J>
constexpr double cscmv_gbyte_count(J M, J N, I nnz, bool beta = false)
{
return ((N + 1) * sizeof(I) + nnz * sizeof(J) + (M + N + nnz + (beta ? M : 0)) * sizeof(T))
/ 1e9;
}
template <typename T>
constexpr double bsrsv_gbyte_count(rocsparse_int mb, rocsparse_int nnzb, rocsparse_int bsr_dim)
{
return ((mb + 1 + nnzb) * sizeof(rocsparse_int)
+ (bsr_dim * (mb + mb + nnzb * bsr_dim)) * sizeof(T))
/ 1e9;
}
template <typename T, typename I, typename J>
constexpr double csrsv_gbyte_count(J M, I nnz)
{
return ((M + 1) * sizeof(I) + nnz * sizeof(J) + (M + M + nnz) * sizeof(T)) / 1e9;
}
template <typename T, typename I>
constexpr double coosv_gbyte_count(I M, I nnz)
{
return (2 * nnz * sizeof(I) + (M + M + nnz) * sizeof(T)) / 1e9;
}
template <typename T, typename I>
constexpr double ellmv_gbyte_count(I M, I N, I nnz, bool beta = false)
{
return (nnz * sizeof(I) + (M + N + nnz + (beta ? M : 0)) * sizeof(T)) / 1e9;
}
template <typename T>
constexpr double gebsrmv_gbyte_count(rocsparse_int mb,
rocsparse_int nb,
rocsparse_int nnzb,
rocsparse_int row_block_dim,
rocsparse_int col_block_dim,
bool beta = false)
{
return ((mb + 1 + nnzb) * sizeof(rocsparse_int)
+ ((mb + nb) * row_block_dim + nnzb * row_block_dim * col_block_dim
+ (beta ? mb * row_block_dim : 0))
* sizeof(T))
/ 1e9;
}
template <typename T, typename I>
constexpr double gemvi_gbyte_count(I m, I nnz, bool beta = false)
{
return ((nnz) * sizeof(I) + (m * nnz + nnz + m + (beta ? m : 0)) * sizeof(T)) / 1e9;
}
/*
* ===========================================================================
* level 3 SPARSE
* ===========================================================================
*/
template <typename T>
constexpr double bsrmm_gbyte_count(rocsparse_int Mb,
rocsparse_int nnzb,
rocsparse_int block_dim,
rocsparse_int nnz_B,
rocsparse_int nnz_C,
bool beta = false)
{
//reads
size_t reads = (Mb + 1 + nnzb) * sizeof(rocsparse_int)
+ (block_dim * block_dim * nnzb + nnz_B + (beta ? nnz_C : 0)) * sizeof(T);
//writes
size_t writes = nnz_C * sizeof(T);
return (reads + writes) / 1e9;
}
template <typename T>
constexpr double gebsrmm_gbyte_count(rocsparse_int Mb,
rocsparse_int nnzb,
rocsparse_int row_block_dim,
rocsparse_int col_block_dim,
rocsparse_int nnz_B,
rocsparse_int nnz_C,
bool beta = false)
{
//reads
size_t reads
= (Mb + 1 + nnzb) * sizeof(rocsparse_int)
+ (row_block_dim * col_block_dim * nnzb + nnz_B + (beta ? nnz_C : 0)) * sizeof(T);
//writes
size_t writes = nnz_C * sizeof(T);
return (reads + writes) / 1e9;
}
template <typename T, typename I, typename J>
constexpr double csrmm_gbyte_count(J M, I nnz_A, I nnz_B, I nnz_C, bool beta = false)
{
return ((M + 1) * sizeof(I) + nnz_A * sizeof(J)
+ (nnz_A + nnz_B + nnz_C + (beta ? nnz_C : 0)) * sizeof(T))
/ 1e9;
}
template <typename T, typename I, typename J>
constexpr double csrmm_batched_gbyte_count(J M,
I nnz_A,
I nnz_B,
I nnz_C,
J batch_count_A,
J batch_count_B,
J batch_count_C,
bool beta = false)
{
// read A matrix
size_t readA = batch_count_A * ((M + 1) * sizeof(I) + nnz_A * sizeof(J) + nnz_A * sizeof(T));
// read B matrix
size_t readB = batch_count_B * nnz_B * sizeof(T);
// read C matrix
size_t readC = batch_count_C * (beta ? nnz_C : 0) * sizeof(T);
// write C matrix
size_t writeC = batch_count_C * nnz_C * sizeof(T);
return (readA + readB + readC + writeC) / 1e9;
}
template <typename T, typename I, typename J>
constexpr double cscmm_gbyte_count(J N, I nnz_A, I nnz_B, I nnz_C, bool beta = false)
{
return csrmm_gbyte_count<T>(N, nnz_A, nnz_B, nnz_C, beta);
}
template <typename T, typename I, typename J>
constexpr double cscmm_batched_gbyte_count(J N,
I nnz_A,
I nnz_B,
I nnz_C,
J batch_count_A,
J batch_count_B,
J batch_count_C,
bool beta = false)
{
// read A matrix
size_t readA = batch_count_A * ((N + 1) * sizeof(I) + nnz_A * sizeof(J) + nnz_A * sizeof(T));
// read B matrix
size_t readB = batch_count_B * nnz_B * sizeof(T);
// read C matrix
size_t readC = batch_count_C * (beta ? nnz_C : 0) * sizeof(T);
// write C matrix
size_t writeC = batch_count_C * nnz_C * sizeof(T);
return (readA + readB + readC + writeC) / 1e9;
}
template <typename T, typename I>
constexpr double coomm_gbyte_count(I nnz_A, I nnz_B, I nnz_C, bool beta = false)
{
return (2.0 * nnz_A * sizeof(I) + (nnz_A + nnz_B + nnz_C + (beta ? nnz_C : 0)) * sizeof(T))
/ 1e9;
}
template <typename T, typename I>
constexpr double coomm_batched_gbyte_count(I M,
I nnz_A,
I nnz_B,
I nnz_C,
I batch_count_A,
I batch_count_B,
I batch_count_C,
bool beta = false)
{
// read A matrix
size_t readA = batch_count_A * (nnz_A * sizeof(I) + nnz_A * sizeof(I) + nnz_A * sizeof(T));
// read B matrix
size_t readB = batch_count_B * nnz_B * sizeof(T);
// read C matrix
size_t readC = batch_count_C * (beta ? nnz_C : 0) * sizeof(T);
// write C matrix
size_t writeC = batch_count_C * nnz_C * sizeof(T);
return (readA + readB + readC + writeC) / 1e9;
}
template <rocsparse_format FORMAT>
struct rocsparse_gbyte_count
{
template <typename T, typename I, typename J>
static constexpr double sddmm(J M, J N, I nnz, J K, bool beta = false);
};
template <>
struct rocsparse_gbyte_count<rocsparse_format_csr>
{
template <typename T, typename I, typename J>
static constexpr double sddmm(J M, J N, I nnz, J K, bool beta = false)
{
size_t l = ((size_t)nnz);
return ((size_t(M) + 1) * sizeof(I) + l * sizeof(J)
+ (l * (K * 2 + ((beta) ? 1 : 0)) * sizeof(T)))
/ 1e9;
}
};
template <>
struct rocsparse_gbyte_count<rocsparse_format_csc>
{
template <typename T, typename I, typename J>
static constexpr double sddmm(J M, J N, I nnz, J K, bool beta = false)
{
size_t l = ((size_t)nnz);
return ((size_t(N) + 1) * sizeof(I) + l * sizeof(J)
+ (l * (K * 2 + ((beta) ? 1 : 0)) * sizeof(T)))
/ 1e9;
}
};
template <>
struct rocsparse_gbyte_count<rocsparse_format_coo>
{
template <typename T, typename I, typename J>
static constexpr double sddmm(J M, J N, I nnz, J K, bool beta = false)
{
size_t l = ((size_t)nnz);
return (l * 2 * sizeof(I) + l * (K * 2 + ((beta) ? 1 : 0)) * sizeof(T)) / 1e9;
}
};
template <>
struct rocsparse_gbyte_count<rocsparse_format_coo_aos>
{
template <typename T, typename I, typename J>
static constexpr double sddmm(J M, J N, I nnz, J K, bool beta = false)
{
size_t l = ((size_t)nnz);
return (l * 2 * sizeof(I) + (l * (K * 2 + ((beta) ? 1 : 0)) * sizeof(T))) / 1e9;
}
};
template <>
struct rocsparse_gbyte_count<rocsparse_format_ell>
{
template <typename T, typename I, typename J>
static constexpr double sddmm(J M, J N, I nnz, J K, bool beta = false)
{
size_t l = ((size_t)nnz);
return (l * sizeof(J) + (l * (K * 2 + ((beta) ? 1 : 0)) * sizeof(T)))
/ static_cast<size_t>(1e9);
}
};
/*
* ===========================================================================
* extra SPARSE
* ===========================================================================
*/
template <typename T>
constexpr double csrgeam_gbyte_count(rocsparse_int M,
rocsparse_int nnz_A,
rocsparse_int nnz_B,
rocsparse_int nnz_C,
const T* alpha,
const T* beta)
{
double size_A = alpha ? (M + 1.0 + nnz_A) * sizeof(rocsparse_int) + nnz_A * sizeof(T) : 0.0;
double size_B = alpha ? (M + 1.0 + nnz_B) * sizeof(rocsparse_int) + nnz_B * sizeof(T) : 0.0;
double size_C = (M + 1.0 + nnz_C) * sizeof(rocsparse_int) + nnz_C * sizeof(T);
return (size_A + size_B + size_C) / 1e9;
}
template <typename T, typename I = rocsparse_int, typename J = rocsparse_int>
constexpr double csrgemm_gbyte_count(
J M, J N, J K, I nnz_A, I nnz_B, I nnz_C, I nnz_D, const T* alpha, const T* beta)
{
double size_A = alpha ? (M + 1.0) * sizeof(I) + nnz_A * sizeof(J) + nnz_A * sizeof(T) : 0.0;
double size_B = alpha ? (K + 1.0) * sizeof(I) + nnz_B * sizeof(J) + nnz_B * sizeof(T) : 0.0;
double size_C = (M + 1.0) * sizeof(I) + nnz_C * sizeof(J) + nnz_C * sizeof(T);
double size_D = beta ? (M + 1.0) * sizeof(I) + nnz_D * sizeof(J) + nnz_D * sizeof(T) : 0.0;
return (size_A + size_B + size_C + size_D) / 1e9;
}
/*
* ===========================================================================
* precond SPARSE
* ===========================================================================
*/
template <typename T>
constexpr double bsric0_gbyte_count(rocsparse_int Mb, rocsparse_int block_dim, rocsparse_int nnzb)
{
return ((Mb + 1 + nnzb) * sizeof(rocsparse_int)
+ 2.0 * block_dim * block_dim * nnzb * sizeof(T))
/ 1e9;
}
template <typename T>
constexpr double bsrilu0_gbyte_count(rocsparse_int Mb, rocsparse_int block_dim, rocsparse_int nnzb)
{
return ((Mb + 1 + nnzb) * sizeof(rocsparse_int)
+ 2.0 * block_dim * block_dim * nnzb * sizeof(T))
/ 1e9;
}
template <typename T>
constexpr double csric0_gbyte_count(rocsparse_int M, rocsparse_int nnz)
{
return ((M + 1 + nnz) * sizeof(rocsparse_int) + 2.0 * nnz * sizeof(T)) / 1e9;
}
template <typename T>
constexpr double csrilu0_gbyte_count(rocsparse_int M, rocsparse_int nnz)
{
return ((M + 1 + nnz) * sizeof(rocsparse_int) + 2.0 * nnz * sizeof(T)) / 1e9;
}
template <typename T>
constexpr double gtsv_gbyte_count(rocsparse_int M, rocsparse_int N)
{
return ((3 * M + 2 * M * N) * sizeof(T)) / 1e9;
}
template <typename T>
constexpr double gtsv_strided_batch_gbyte_count(rocsparse_int M, rocsparse_int N)
{
return ((3 * M * N + 2 * M * N) * sizeof(T)) / 1e9;
}
template <typename T>
constexpr double gtsv_interleaved_batch_gbyte_count(rocsparse_int M, rocsparse_int N)
{
return ((3 * M * N + 2 * M * N) * sizeof(T)) / 1e9;
}
template <typename T>
constexpr double gpsv_interleaved_batch_gbyte_count(rocsparse_int M, rocsparse_int N)
{
return ((5 * M * N + 2 * M * N) * sizeof(T)) / 1e9;
}
/*
* ===========================================================================
* conversion SPARSE
* ===========================================================================
*/
template <typename T>
constexpr double nnz_gbyte_count(rocsparse_int M, rocsparse_int N, rocsparse_direction dir)
{
return ((M * N) * sizeof(T)
+ ((rocsparse_direction_row == dir) ? M : N) * sizeof(rocsparse_int))
/ 1e9;
}
template <rocsparse_direction DIRA, typename T, typename I, typename J>
constexpr double dense2csx_gbyte_count(J M, J N, I nnz)
{
const J L = (rocsparse_direction_row == DIRA) ? M : N;
const size_t write_csx_ptr = (L + 1) * sizeof(I);
const size_t read_csx_ptr = (L + 1) * sizeof(I);
const size_t build_csx_ptr = write_csx_ptr + read_csx_ptr;
const size_t write_csx = nnz * sizeof(T) + nnz * sizeof(J) + (L + 1) * sizeof(I);
const size_t read_dense = M * N * sizeof(T);
return (read_dense + build_csx_ptr + write_csx) / 1e9;
}
template <typename T, typename I>
constexpr double dense2coo_gbyte_count(I M, I N, I nnz)
{
size_t reads = (M * N) * sizeof(T);
size_t writes = 2 * nnz * sizeof(I) + nnz * sizeof(T);
return (reads + writes) / 1e9;
}
template <typename T>
constexpr double prune_dense2csr_gbyte_count(rocsparse_int M, rocsparse_int N, rocsparse_int nnz)
{
size_t reads = M * N * sizeof(T);
size_t writes = (M + 1 + nnz) * sizeof(rocsparse_int) + nnz * sizeof(T);
return (reads + writes) / 1e9;
}
template <typename T>
constexpr double
prune_dense2csr_by_percentage_gbyte_count(rocsparse_int M, rocsparse_int N, rocsparse_int nnz)
{
size_t reads = M * N * sizeof(T);
size_t writes = (M + 1 + nnz) * sizeof(rocsparse_int) + nnz * sizeof(T);
return (reads + writes) / 1e9;
}
template <rocsparse_direction DIRA, typename T, typename I, typename J>
constexpr double csx2dense_gbyte_count(J M, J N, I nnz)
{
const J L = (rocsparse_direction_row == DIRA) ? M : N;
const size_t read_csx = nnz * sizeof(T) + nnz * sizeof(J) + (L + 1) * sizeof(I);
const size_t write_dense
= M * N * sizeof(T) + nnz * sizeof(T); // set to zero + nnz assignments.
return (read_csx + write_dense) / 1e9;
}
template <typename T, typename I>
constexpr double coo2dense_gbyte_count(I M, I N, I nnz)
{
size_t reads = 2 * nnz * sizeof(I) + nnz * sizeof(T);
size_t writes = (M * N) * sizeof(T);
return (reads + writes) / 1e9;
}
template <typename T>
constexpr double csr2coo_gbyte_count(rocsparse_int M, rocsparse_int nnz)
{
return (M + 1 + nnz) * sizeof(rocsparse_int) / 1e9;
}
template <typename T>
constexpr double coo2csr_gbyte_count(rocsparse_int M, rocsparse_int nnz)
{
return (M + 1 + nnz) * sizeof(rocsparse_int) / 1e9;
}
template <typename T>
constexpr double csr2csc_gbyte_count(rocsparse_int M,
rocsparse_int N,
rocsparse_int nnz,
rocsparse_action action)
{
return ((M + N + 2 + 2.0 * nnz) * sizeof(rocsparse_int)
+ (action == rocsparse_action_numeric ? (2.0 * nnz) * sizeof(T) : 0.0))
/ 1e9;
}
template <typename T>
constexpr double gebsr2gebsc_gbyte_count(rocsparse_int Mb,
rocsparse_int Nb,
rocsparse_int nnzb,
rocsparse_int row_block_dim,
rocsparse_int col_block_dim,
rocsparse_action action)
{
return ((Mb + Nb + 2 + 2.0 * nnzb) * sizeof(rocsparse_int)
+ (action == rocsparse_action_numeric
? (2.0 * nnzb * row_block_dim * col_block_dim) * sizeof(T)
: 0.0))
/ 1e9;
}
template <typename T>
constexpr double csr2ell_gbyte_count(rocsparse_int M, rocsparse_int nnz, rocsparse_int ell_nnz)
{
return ((M + 1.0 + ell_nnz) * sizeof(rocsparse_int) + (nnz + ell_nnz) * sizeof(T)) / 1e9;
}
template <typename T>
constexpr double ell2csr_gbyte_count(rocsparse_int M, rocsparse_int csr_nnz, rocsparse_int ell_nnz)
{
return ((M + 1.0 + ell_nnz) * sizeof(rocsparse_int) + (csr_nnz + ell_nnz) * sizeof(T)) / 1e9;
}
template <typename T>
constexpr double csr2hyb_gbyte_count(rocsparse_int M,
rocsparse_int nnz,
rocsparse_int ell_nnz,
rocsparse_int coo_nnz)
{
return ((M + 1.0 + ell_nnz + 2.0 * coo_nnz) * sizeof(rocsparse_int)
+ (nnz + ell_nnz + coo_nnz) * sizeof(T))
/ 1e9;
}
template <typename T>
constexpr double hyb2csr_gbyte_count(rocsparse_int M,
rocsparse_int csr_nnz,
rocsparse_int ell_nnz,
rocsparse_int coo_nnz)
{
return ((M + 1.0 + csr_nnz + ell_nnz + 2.0 * coo_nnz) * sizeof(rocsparse_int)
+ (csr_nnz + ell_nnz + coo_nnz) * sizeof(T))
/ 1e9;
}
template <typename T>
constexpr double bsr2csr_gbyte_count(rocsparse_int Mb, rocsparse_int block_dim, rocsparse_int nnzb)
{
// reads
size_t reads
= nnzb * block_dim * block_dim * sizeof(T) + (Mb + 1 + nnzb) * sizeof(rocsparse_int);
// writes
size_t writes = nnzb * block_dim * block_dim * sizeof(T)
+ (Mb * block_dim + 1 + nnzb * block_dim * block_dim) * sizeof(rocsparse_int);
return (reads + writes) / 1e9;
}
template <typename T>
constexpr double gebsr2csr_gbyte_count(rocsparse_int Mb,
rocsparse_int row_block_dim,
rocsparse_int col_block_dim,
rocsparse_int nnzb)
{
// reads
size_t reads = nnzb * row_block_dim * col_block_dim * sizeof(T)
+ (Mb + 1 + nnzb) * sizeof(rocsparse_int);
// writes
size_t writes
= nnzb * row_block_dim * col_block_dim * sizeof(T)
+ (Mb * row_block_dim + 1 + nnzb * row_block_dim * col_block_dim) * sizeof(rocsparse_int);
return (reads + writes) / 1e9;
}
template <typename T>
constexpr double gebsr2gebsr_gbyte_count(rocsparse_int Mb_A,
rocsparse_int Mb_C,
rocsparse_int row_block_dim_A,
rocsparse_int col_block_dim_A,
rocsparse_int row_block_dim_C,
rocsparse_int col_block_dim_C,
rocsparse_int nnzb_A,
rocsparse_int nnzb_C)
{
// reads
size_t reads = nnzb_A * row_block_dim_A * col_block_dim_A * sizeof(T)
+ (Mb_A + 1 + nnzb_A) * sizeof(rocsparse_int);
// writes
size_t writes = nnzb_C * row_block_dim_C * col_block_dim_C * sizeof(T)
+ (Mb_C + 1 + nnzb_C) * sizeof(rocsparse_int);
return (reads + writes) / 1e9;
}
template <typename T>
constexpr double csr2bsr_gbyte_count(rocsparse_int M,
rocsparse_int Mb,
rocsparse_int nnz,
rocsparse_int nnzb,
rocsparse_int block_dim)
{
// reads
size_t reads = (M + 1 + nnz) * sizeof(rocsparse_int) + nnz * sizeof(T);
// writes
size_t writes = (Mb + 1 + nnzb * block_dim * block_dim) * sizeof(rocsparse_int)
+ (nnzb * block_dim * block_dim) * sizeof(T);
return (reads + writes) / 1e9;
}
template <typename T>
constexpr double csr2gebsr_gbyte_count(rocsparse_int M,
rocsparse_int Mb,
rocsparse_int nnz,
rocsparse_int nnzb,
rocsparse_int row_block_dim,
rocsparse_int col_block_dim)
{
// reads
size_t reads = (M + 1 + nnz) * sizeof(rocsparse_int) + nnz * sizeof(T);
// writes
size_t writes = (Mb + 1 + nnzb * row_block_dim * col_block_dim) * sizeof(rocsparse_int)
+ (nnzb * row_block_dim * col_block_dim) * sizeof(T);
return (reads + writes) / 1e9;
}
template <typename T>
constexpr double
csr2csr_compress_gbyte_count(rocsparse_int M, rocsparse_int nnz_A, rocsparse_int nnz_C)
{
size_t reads = (M + 1 + nnz_A) * sizeof(rocsparse_int) + nnz_A * sizeof(T);
size_t writes = (M + 1 + nnz_C) * sizeof(rocsparse_int) + nnz_C * sizeof(T);
return (reads + writes) / 1e9;
}
template <typename T>
constexpr double
prune_csr2csr_gbyte_count(rocsparse_int M, rocsparse_int nnz_A, rocsparse_int nnz_C)
{
// reads
size_t reads = (M + 1 + nnz_A) * sizeof(rocsparse_int) + nnz_A * sizeof(T);
// writes
size_t writes = (M + 1 + nnz_C) * sizeof(rocsparse_int) + nnz_C * sizeof(T);
return (reads + writes) / 1e9;
}
template <typename T>
constexpr double prune_csr2csr_by_percentage_gbyte_count(rocsparse_int M,
rocsparse_int nnz_A,
rocsparse_int nnz_C)
{
// reads
size_t reads = (M + 1 + nnz_A) * sizeof(rocsparse_int) + nnz_A * sizeof(T);
// writes
size_t writes = (M + 1 + nnz_C) * sizeof(rocsparse_int) + nnz_C * sizeof(T);
return (reads + writes) / 1e9;
}
template <typename T>
constexpr double identity_gbyte_count(rocsparse_int N)
{
return N * sizeof(rocsparse_int) / 1e9;
}
template <typename T>
constexpr double csrsort_gbyte_count(rocsparse_int M, rocsparse_int nnz, bool permute)
{
return ((2.0 * M + 2.0 + 2.0 * nnz + (permute ? 2.0 * nnz : 0.0)) * sizeof(rocsparse_int))
/ 1e9;
}
template <typename T>
constexpr double cscsort_gbyte_count(rocsparse_int N, rocsparse_int nnz, bool permute)
{
return ((2.0 * N + 2.0 + 2.0 * nnz + (permute ? 2.0 * nnz : 0.0)) * sizeof(rocsparse_int))
/ 1e9;
}
template <typename T>
constexpr double coosort_gbyte_count(rocsparse_int nnz, bool permute)
{
return ((4.0 * nnz + (permute ? 2.0 * nnz : 0.0)) * sizeof(rocsparse_int)) / 1e9;
}
/*
* ===========================================================================
* utility SPARSE
* ===========================================================================
*/
template <typename T, typename I, typename J>
constexpr double check_matrix_csr_gbyte_count(J m, I nnz)
{
return (sizeof(I) * (m + 1) + sizeof(J) * nnz + sizeof(T) * nnz) / 1e9;
}
template <typename T, typename I, typename J>
constexpr double check_matrix_csc_gbyte_count(J n, I nnz)
{
return check_matrix_csr_gbyte_count<T>(n, nnz);
}
template <typename T, typename I>
constexpr double check_matrix_coo_gbyte_count(I nnz)
{
return (2.0 * sizeof(I) * nnz + sizeof(T) * nnz) / 1e9;
}
template <typename T, typename I, typename J>
constexpr double check_matrix_gebsr_gbyte_count(J mb, I nnzb, J row_block_dim, J col_block_dim)
{
return (sizeof(I) * (mb + 1) + sizeof(J) * nnzb
+ sizeof(T) * nnzb * row_block_dim * col_block_dim)
/ 1e9;
}
template <typename T, typename I, typename J>
constexpr double check_matrix_gebsc_gbyte_count(J nb, I nnzb, J row_block_dim, J col_block_dim)
{
return check_matrix_gebsr_gbyte_count<T>(nb, nnzb, row_block_dim, col_block_dim);
}
template <typename T, typename I>
constexpr double check_matrix_ell_gbyte_count(I ell_nnz)
{
return (sizeof(I) * ell_nnz + sizeof(T) * ell_nnz) / 1e9;
}
template <typename T, typename I>
constexpr double check_matrix_hyb_gbyte_count(I ell_nnz, I coo_nnz)
{
return (sizeof(I) * (ell_nnz + 2.0 * coo_nnz) + sizeof(T) * (ell_nnz + coo_nnz)) / 1e9;
}
#endif // GBYTE_HPP
|