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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851
|
// Copyright (c) 2017-2023, University of Tennessee. All rights reserved.
// SPDX-License-Identifier: BSD-3-Clause
// This program is free software: you can redistribute it and/or modify it under
// the terms of the BSD 3-Clause license. See the accompanying LICENSE file.
#include <complex>
#include <stdio.h>
#include <string.h>
#include <unistd.h>
#include "test.hh"
// -----------------------------------------------------------------------------
using testsweeper::ParamType;
using testsweeper::DataType;
using testsweeper::DataType_help;
using testsweeper::ansi_bold;
using testsweeper::ansi_red;
using testsweeper::ansi_normal;
using blas::Layout, blas::Layout_help;
using blas::Side, blas::Side_help;
using blas::Uplo, blas::Uplo_help;
using blas::Op, blas::Op_help;
using blas::Diag, blas::Diag_help;
using lapack::itype_help;
using lapack::Job;
using lapack::Job_eig_help;
using lapack::Job_eig_left_help;
using lapack::Job_eig_right_help;
using lapack::Job_svd_left_help;
using lapack::Job_svd_right_help;
using lapack::Range, lapack::Range_help;
using lapack::Norm, lapack::Norm_help;
using lapack::MatrixType, lapack::MatrixType_help;
using lapack::Factored, lapack::Factored_help;
using lapack::Pivot, lapack::Pivot_help;
using lapack::Direction, lapack::Direction_help;
using lapack::StoreV, lapack::StoreV_help;
using lapack::Equed, lapack::Equed_help;
const ParamType PT_Value = ParamType::Value;
const ParamType PT_List = ParamType::List;
const ParamType PT_Out = ParamType::Output;
const double no_data = testsweeper::no_data_flag;
const char* pi_rt2i = "3.141592653589793 + 1.414213562373095i";
const char* e_rt3i = "2.718281828459045 + 1.732050807568877i";
const double pi = 3.141592653589793;
const double e = 2.718281828459045;
// -----------------------------------------------------------------------------
// each section must have a corresponding entry in section_names
enum Section {
newline = 0, // zero flag forces newline
gesv,
posv,
sysv,
hesv,
gels,
qr,
heev,
sygv,
geev,
svd,
aux,
aux_norm,
aux_householder,
aux_givens,
aux_gen,
blas1,
blas2,
blas3,
gpu,
num_sections, // last
};
const char* section_names[] = {
"", // none
"LU",
"Cholesky",
"symmetric indefinite",
"Hermitian indefinite",
"least squares",
"QR, LQ, QL, RQ",
"symmetric eigenvalues",
"generalized symmetric eigenvalues",
"non-symmetric eigenvalues",
"singular value decomposition (SVD)",
"auxiliary",
"matrix norms",
"auxiliary - Householder",
"auxiliary - Givens",
"auxiliary - matrix generation",
"Level 1 BLAS (additional)",
"Level 2 BLAS (additional)",
"Level 3 BLAS (additional)",
"GPU device functions",
};
// { "", nullptr, Section::newline } entries force newline in help
std::vector< testsweeper::routines_t > routines = {
// -----
// LU
{ "gesv", test_gesv, Section::gesv },
{ "gbsv", test_gbsv, Section::gesv },
{ "gtsv", test_gtsv, Section::gesv },
{ "", nullptr, Section::newline },
{ "gesvx", test_gesvx, Section::gesv }, // TODO Set up fact equed, (work array)=(LAPACKE rpivot)
//{ "gbsvx", test_gbsvx, Section::gesv },
//{ "gtsvx", test_gtsvx, Section::gesv },
{ "", nullptr, Section::newline },
{ "getrf", test_getrf, Section::gesv },
{ "gbtrf", test_gbtrf, Section::gesv },
{ "gttrf", test_gttrf, Section::gesv },
{ "", nullptr, Section::newline },
{ "getrs", test_getrs, Section::gesv },
{ "gbtrs", test_gbtrs, Section::gesv },
{ "gttrs", test_gttrs, Section::gesv },
{ "", nullptr, Section::newline },
{ "getri", test_getri, Section::gesv }, // lawn 41 test
{ "", nullptr, Section::newline },
{ "gecon", test_gecon, Section::gesv },
{ "gbcon", test_gbcon, Section::gesv },
{ "gtcon", test_gtcon, Section::gesv },
{ "", nullptr, Section::newline },
{ "gerfs", test_gerfs, Section::gesv },
{ "gbrfs", test_gbrfs, Section::gesv },
{ "gtrfs", test_gtrfs, Section::gesv },
{ "", nullptr, Section::newline },
{ "geequ", test_geequ, Section::gesv },
{ "gbequ", test_gbequ, Section::gesv },
{ "", nullptr, Section::newline },
// -----
// Cholesky
{ "posv", test_posv, Section::posv },
{ "ppsv", test_ppsv, Section::posv },
{ "pbsv", test_pbsv, Section::posv },
{ "ptsv", test_ptsv, Section::posv },
{ "", nullptr, Section::newline },
{ "potrf", test_potrf, Section::posv },
{ "pptrf", test_pptrf, Section::posv },
{ "pbtrf", test_pbtrf, Section::posv },
{ "pttrf", test_pttrf, Section::posv },
{ "", nullptr, Section::newline },
{ "potrs", test_potrs, Section::posv },
{ "pptrs", test_pptrs, Section::posv },
{ "pbtrs", test_pbtrs, Section::posv },
{ "pttrs", test_pttrs, Section::posv },
{ "", nullptr, Section::newline },
{ "potri", test_potri, Section::posv }, // lawn 41 test
{ "pptri", test_pptri, Section::posv },
{ "", nullptr, Section::newline },
{ "pocon", test_pocon, Section::posv },
{ "ppcon", test_ppcon, Section::posv },
{ "pbcon", test_pbcon, Section::posv },
{ "ptcon", test_ptcon, Section::posv },
{ "", nullptr, Section::newline },
{ "porfs", test_porfs, Section::posv },
{ "pprfs", test_pprfs, Section::posv },
{ "pbrfs", test_pbrfs, Section::posv },
{ "ptrfs", test_ptrfs, Section::posv },
{ "", nullptr, Section::newline },
{ "poequ", test_poequ, Section::posv },
{ "ppequ", test_ppequ, Section::posv },
{ "pbequ", test_pbequ, Section::posv },
{ "", nullptr, Section::newline },
// -----
// symmetric indefinite
{ "sysv", test_sysv, Section::sysv }, // tested via LAPACKE
{ "spsv", test_spsv, Section::sysv }, // tested via LAPACKE
{ "", nullptr, Section::newline },
{ "sytrf", test_sytrf, Section::sysv }, // tested via LAPACKE
{ "sptrf", test_sptrf, Section::sysv }, // tested via LAPACKE
{ "", nullptr, Section::newline },
{ "sytrs", test_sytrs, Section::sysv }, // tested via LAPACKE
{ "sptrs", test_sptrs, Section::sysv }, // tested via LAPACKE
{ "", nullptr, Section::newline },
{ "sytri", test_sytri, Section::sysv }, // tested via LAPACKE
{ "sptri", test_sptri, Section::sysv }, // tested via LAPACKE
{ "", nullptr, Section::newline },
{ "sycon", test_sycon, Section::sysv }, // tested via LAPACKE
{ "spcon", test_spcon, Section::sysv }, // tested via LAPACKE
{ "", nullptr, Section::newline },
{ "syrfs", test_syrfs, Section::sysv }, // tested via LAPACKE
{ "sprfs", test_sprfs, Section::sysv }, // tested via LAPACKE
{ "", nullptr, Section::newline },
// ----- requires LAPACK >= 3.5
{ "sysv_rook", test_sysv_rook, Section::sysv }, // tested via LAPACKE using gcc/MKL
{ "sysv_rk", test_sysv_rk, Section::sysv }, // tested via LAPACKE using gcc/MKL
{ "sysv_aa", test_sysv_aa, Section::sysv }, // tested via LAPACKE using gcc/MKL
//{ "sysv_aa_2stage", test_sysv_aa_2stage, Section::sysv }, // TODO No automagic generation. No src. New call.
{ "", nullptr, Section::newline },
{ "sytrf_rook", test_sytrf_rook, Section::sysv }, // tested via LAPACKE using gcc/MKL
{ "sytrf_rk", test_sytrf_rk, Section::sysv }, // tested via LAPACKE using gcc/MKL
{ "sytrf_aa", test_sytrf_aa, Section::sysv }, // TODO LAPACKE wrapper broken/bugreport. Call LAPACK. Passes.
//{ "sytrf_aa_2stage", test_sytrf_aa_2stage, Section::sysv }, // TODO No automagic generation. No src. New call.
{ "", nullptr, Section::newline },
{ "sytrs_rook", test_sytrs_rook, Section::sysv }, // tested via LAPACKE using gcc/MKL
//{ "sytrs_rk", test_sytrs_rk, Section::sysv }, // TODO the LAPACKE wrapper seems to be missing
{ "", nullptr, Section::sysv }, // space for sytrs_rk
{ "sytrs_aa", test_sytrs_aa, Section::sysv }, // tested via LAPACKE using gcc/MKL
//{ "sytrs_aa_2stage", test_sytrs_aa_2stage, Section::sysv }, // TODO No automagic generation. No src. New call.
{ "", nullptr, Section::newline },
//{ "sytri_rook", test_sytri_rook, Section::sysv }, // TODO lapack_fortran.h header missing
{ "", nullptr, Section::newline },
// -----
// Hermitian indefinite
{ "hesv", test_hesv, Section::hesv }, // tested via LAPACKE
{ "hpsv", test_hpsv, Section::hesv }, // tested via LAPACKE
{ "", nullptr, Section::newline },
{ "hetrf", test_hetrf, Section::hesv }, // tested via LAPACKE
{ "hptrf", test_hptrf, Section::hesv }, // tested via LAPACKE
{ "", nullptr, Section::newline },
{ "hetrs", test_hetrs, Section::hesv }, // tested via LAPACKE
{ "hptrs", test_hptrs, Section::hesv }, // tested via LAPACKE
{ "", nullptr, Section::newline },
{ "hetri", test_hetri, Section::hesv }, // tested via LAPACKE
{ "hptri", test_hptri, Section::hesv }, // tested via LAPACKE
{ "", nullptr, Section::newline },
{ "hecon", test_hecon, Section::hesv }, // tested via LAPACKE
{ "hpcon", test_hpcon, Section::hesv }, // tested via LAPACKE, error < 3*eps
{ "", nullptr, Section::newline },
{ "herfs", test_herfs, Section::hesv }, // tested via LAPACKE
{ "hprfs", test_hprfs, Section::hesv }, // tested via LAPACKE, error < 3*eps
{ "", nullptr, Section::newline },
// -----
// least squares
{ "gels", test_gels, Section::gels }, // tested via LAPACKE using gcc/MKL
{ "gelsy", test_gelsy, Section::gels }, // tested via LAPACKE using gcc/MKL TODO jpvt[i]=i rcond=0
{ "gelsd", test_gelsd, Section::gels }, // TODO: Segfaults for some Z sizes. src/gelsd.cc:275 lrwork_ too small?
{ "gelss", test_gelss, Section::gels }, // tested via LAPACKE using gcc/MKL TODO rcond=n
{ "getsls", test_getsls, Section::gels }, // tested via LAPACKE using gcc/MKL
{ "", nullptr, Section::newline },
{ "gglse", test_gglse, Section::gels }, // tested via LAPACKE using gcc/MKL
{ "ggglm", test_ggglm, Section::gels }, // tested via LAPACKE using gcc/MKL
{ "", nullptr, Section::newline },
// -----
// QR, LQ, RQ, QL
{ "geqr", test_geqr, Section::qr }, // tested numerically
{ "geqrf", test_geqrf, Section::qr }, // tested numerically
{ "gelqf", test_gelqf, Section::qr }, // tested numerically
{ "geqlf", test_geqlf, Section::qr }, // tested numerically
{ "gerqf", test_gerqf, Section::qr }, // tested numerically; R, Q are full sizeof(A), could be smaller
{ "gemqrt", test_gemqrt, Section::qr }, // tested via LAPACKE
{ "", nullptr, Section::newline },
{ "ggqrf", test_ggqrf, Section::qr }, // tested via LAPACKE using gcc/MKL, TODO for now use p=param.k
//{ "gglqf", test_gglqf, Section::qr }, // TODO No automagic generation. No src
{ "", nullptr, Section::qr }, // space for gglqf
//{ "ggqlf", test_ggqlf, Section::qr }, // TODO No automagic generation. No src
{ "", nullptr, Section::qr }, // space for ggqlf
{ "ggrqf", test_ggrqf, Section::qr }, // tested via LAPACKE using gcc/MKL, TODO for now use p=param.k
{ "", nullptr, Section::newline },
{ "ungqr", test_ungqr, Section::qr }, // tested numerically based on lapack; R, Q full sizes
{ "unglq", test_unglq, Section::qr }, // tested numerically based on lapack; R, Q full; m<=n, k<=m
{ "ungql", test_ungql, Section::qr }, // tested numerically based on lapack; R, Q full sizes
{ "ungrq", test_ungrq, Section::qr }, // tested numerically based on lapack; R, Q full sizes
{ "", nullptr, Section::newline },
{ "orhr_col", test_orhr_col, Section::qr },
{ "unhr_col", test_unhr_col, Section::qr },
{ "", nullptr, Section::newline },
//{ "unmqr", test_unmqr, Section::qr }, // TODO segfaults
//{ "unmlq", test_unmlq, Section::qr },
//{ "unmql", test_unmql, Section::qr },
//{ "unmrq", test_unmrq, Section::qr },
//{ "", nullptr, Section::newline },
{ "tpqrt", test_tpqrt, Section::qr },
{ "tplqt", test_tplqt, Section::qr },
{ "", nullptr, Section::newline },
{ "tpqrt2", test_tpqrt2, Section::qr },
{ "tplqt2", test_tplqt2, Section::qr },
{ "", nullptr, Section::newline },
{ "tpmqrt", test_tpmqrt, Section::qr },
{ "tpmlqt", test_tpmlqt, Section::qr },
{ "", nullptr, Section::newline },
{ "tprfb", test_tprfb, Section::qr },
{ "", nullptr, Section::newline },
// -----
// symmetric/Hermitian eigenvalues
{ "heev", test_heev, Section::heev }, // backward error check
{ "hpev", test_hpev, Section::heev }, // tested via LAPACKE
{ "hbev", test_hbev, Section::heev }, // tested via LAPACKE
{ "sturm", test_sturm, Section::heev },
{ "", nullptr, Section::newline },
{ "heevx", test_heevx, Section::heev }, // backward error check
{ "hpevx", test_hpevx, Section::heev }, // tested via LAPACKE
{ "hbevx", test_hbevx, Section::heev }, // tested via LAPACKE
{ "", nullptr, Section::newline },
{ "heevd", test_heevd, Section::heev }, // backward error check
{ "hpevd", test_hpevd, Section::heev }, // tested via LAPACKE using gcc/MKL
{ "hbevd", test_hbevd, Section::heev }, // tested via LAPACKE using gcc/MKL
{ "", nullptr, Section::newline },
{ "heevr", test_heevr, Section::heev }, // backward error check
{ "lae2", test_lae2, Section::heev }, // forward error check, compared to laev2
{ "laev2", test_laev2, Section::heev }, // backward error check
{ "", nullptr, Section::newline },
{ "hetrd", test_hetrd, Section::heev }, // tested via LAPACKE using gcc/MKL
{ "hptrd", test_hptrd, Section::heev }, // tested via LAPACKE using gcc/MKL
//{ "hbtrd", test_hbtrd, Section::heev }, // Need to add to test.cc params a new vect option v,n,u for forming Q
{ "", nullptr, Section::newline },
{ "ungtr", test_ungtr, Section::heev }, // tested via LAPACKE using gcc/MKL
{ "upgtr", test_upgtr, Section::heev }, // tested via LAPACKE using gcc/MKL
{ "", nullptr, Section::newline },
{ "unmtr", test_unmtr, Section::heev }, // tested via LAPACKE using gcc/MKL
{ "upmtr", test_upmtr, Section::heev },
{ "", nullptr, Section::newline },
// -----
// generalized symmetric eigenvalues
{ "hegv", test_hegv, Section::sygv }, // tested via LAPACKE using gcc/MKL
{ "hpgv", test_hpgv, Section::sygv }, // tested via LAPACKE using gcc/MKL
{ "hbgv", test_hbgv, Section::sygv }, // tested via LAPACKE using gcc/MKL
{ "", nullptr, Section::newline },
{ "hegvx", test_hegvx, Section::sygv }, // tested via LAPACKE using gcc/MKL
{ "hpgvx", test_hpgvx, Section::sygv }, // tested via LAPACKE using gcc/MKL
{ "hbgvx", test_hbgvx, Section::sygv }, // tested via LAPACKE using gcc/MKL
{ "", nullptr, Section::newline },
{ "hegvd", test_hegvd, Section::sygv }, // tested via LAPACKE using gcc/MKL
{ "hpgvd", test_hpgvd, Section::sygv }, // tested via LAPACKE using gcc/MKL
{ "hbgvd", test_hbgvd, Section::sygv }, // TODO Segfaults.. is the src correct?
{ "", nullptr, Section::newline },
{ "hegst", test_hegst, Section::sygv }, // tested via LAPACKE using gcc/MKL
{ "hpgst", test_hpgst, Section::sygv }, // tested via LAPACKE using gcc/MKL
//{ "hbgst", test_hbgst, Section::sygv }, // TODO This test requires non-working --vect flag
//{ "hgeqz", test_hgeqz, Section::sygv }, // TODO Needs params job compq compz...
{ "", nullptr, Section::newline },
// -----
// non-symmetric eigenvalues
{ "geev", test_geev, Section::geev },
{ "ggev", test_ggev, Section::geev }, // tested via LAPACKE using gcc/MKL. NOTE: No doxygen in src/ggev.cc
{ "", nullptr, Section::newline },
//{ "geevx", test_geevx, Section::geev }, // TODO No src
//{ "ggevx", test_ggevx, Section::geev }, // TODO No src
{ "", nullptr, Section::newline },
//{ "gees", test_gees, Section::geev }, // TODO needs --sort --select, external SELECT logical function
//{ "gges", test_gges, Section::geev }, // TODO needs SELCTG (external sort procedure) LOGICAL FUNCTION
{ "", nullptr, Section::newline },
//{ "geesx", test_geesx, Section::geev }, // TODO needs external select function
//{ "ggesx", test_ggesx, Section::geev }, // TODO needs external select function
{ "", nullptr, Section::newline },
{ "gehrd", test_gehrd, Section::geev }, // TODO Fixed ilo=1, ihi=n, should these vary?
{ "unghr", test_unghr, Section::geev }, // TODO Fixed ilo=1, ihi=n, should these vary?
{ "unmhr", test_unmhr, Section::geev },
//{ "hsein", test_hsein, Section::geev }, // TODO error in automagic generation KeyError eigsrc
//{ "trevc", test_trevc, Section::geev }, // TODO --howmany, need to setup a bool select array
{ "", nullptr, Section::newline },
{ "tgexc", test_tgexc, Section::geev },
{ "tgsen", test_tgsen, Section::geev },
{ "", nullptr, Section::newline },
// -----
// driver: singular value decomposition
{ "gesvd", test_gesvd, Section::svd },
//{ "gesvd_2stage", test_gesvd_2stage, Section::svd }, // TODO No src
{ "", nullptr, Section::newline },
{ "gesdd", test_gesdd, Section::svd },
//{ "gesdd_2stage", test_gesdd_2stage, Section::svd }, // TODO No src
{ "", nullptr, Section::newline },
{ "gesvdx", test_gesvdx, Section::svd }, // tested via LAPACKE using gcc/MKL
//{ "gesvdx_2stage", test_gesvdx_2stage, Section::svd }, // TODO No src
{ "", nullptr, Section::newline },
//{ "gejsv", test_gejsv, Section::svd }, // TODO No src
//{ "gesvj", test_gesvj, Section::svd }, // TODO No src
{ "", nullptr, Section::newline },
// -----
// auxiliary
{ "lacpy", test_lacpy, Section::aux },
{ "laed4", test_laed4, Section::aux },
{ "laset", test_laset, Section::aux },
{ "laswp", test_laswp, Section::aux },
{ "", nullptr, Section::newline },
// auxiliary: Householder
{ "larfg", test_larfg, Section::aux_householder },
{ "larfgp", test_larfgp, Section::aux_householder },
{ "larf", test_larf, Section::aux_householder },
{ "larfx", test_larfx, Section::aux_householder },
{ "larfy", test_larfy, Section::aux_householder },
{ "larfb", test_larfb, Section::aux_householder },
{ "larft", test_larft, Section::aux_householder },
{ "", nullptr, Section::newline },
// auxiliary: Givens rotations
{ "lasr", test_lasr, Section::aux_givens }, // forward error check, compared to rot
{ "", nullptr, Section::newline },
// auxiliary: norms
{ "lange", test_lange, Section::aux_norm },
{ "lanhe", test_lanhe, Section::aux_norm },
{ "lansy", test_lansy, Section::aux_norm },
{ "lantr", test_lantr, Section::aux_norm },
{ "lanhs", test_lanhs, Section::aux_norm },
{ "", nullptr, Section::newline },
// auxiliary: norms - packed
{ "", nullptr, Section::aux_norm },
{ "lanhp", test_lanhp, Section::aux_norm },
{ "lansp", test_lansp, Section::aux_norm },
{ "lantp", test_lantp, Section::aux_norm },
{ "", nullptr, Section::newline },
// auxiliary: norms - banded
{ "langb", test_langb, Section::aux_norm },
{ "lanhb", test_lanhb, Section::aux_norm },
{ "lansb", test_lansb, Section::aux_norm },
{ "lantb", test_lantb, Section::aux_norm },
{ "", nullptr, Section::newline },
// auxiliary: norms - tridiagonal
{ "langt", test_langt, Section::aux_norm },
{ "lanht", test_lanht, Section::aux_norm },
{ "lanst", test_lanst, Section::aux_norm },
{ "", nullptr, Section::newline },
// auxiliary: matrix generation
//{ "lagge", test_lagge, Section::aux_gen },
//{ "lagsy", test_lagsy, Section::aux_gen },
//{ "laghe", test_laghe, Section::aux_gen },
//{ "lagtr", test_lagtr, Section::aux_gen },
{ "", nullptr, Section::newline },
// additional BLAS
{ "syr", test_syr, Section::blas2 },
{ "symv", test_symv, Section::blas2 },
{ "", nullptr, Section::newline },
//----------------------------------------
// GPU device functions
{ "dev-potrf", test_potrf_device, Section::gpu },
{ "dev-getrf", test_getrf_device, Section::gpu },
{ "dev-geqrf", test_geqrf_device, Section::gpu },
{ "dev-heevd", test_heevd_device, Section::gpu },
{ "", nullptr, Section::newline },
};
// -----------------------------------------------------------------------------
// Params class
// List of parameters
Params::Params():
ParamsBase(),
// w = width
// p = precision
//----- test framework parameters
// name, w, type, default, valid, help
check ( "check", 0, PT_Value, 'y', "ny", "check the results" ),
error_exit( "error-exit", 0, PT_Value, 'n', "ny", "check error exits" ),
ref ( "ref", 0, PT_Value, 'n', "ny", "run reference; sometimes check implies ref" ),
// name, w, p, type, default, min, max, help
tol ( "tol", 0, 0, PT_Value, 50, 1, 1000, "tolerance (e.g., error < tol*epsilon to pass)" ),
repeat ( "repeat", 0, PT_Value, 1, 1, 1000, "times to repeat each test" ),
verbose ( "verbose", 0, PT_Value, 0, 0, 10, "verbose level" ),
cache ( "cache", 0, PT_Value, 20, 1, 1024, "total cache size, in MiB" ),
//----- routine parameters, enums
// name, w, type, default, help
datatype ( "type", 4, PT_List, DataType::Double, DataType_help ),
// BLAS & LAPACK options
layout ( "layout", 6, PT_List, Layout::ColMajor, Layout_help ),
ijob ( "ijob", 5, PT_List, 0, 0, 5,
"condition numbers to compute, 0 to 5; see tgsen docs" ),
itype ( "itype", 5, PT_List, 1, 1, 3, itype_help ),
jobz ( "jobz", 5, PT_List, Job::NoVec, Job_eig_help ),
jobvl ( "jobvl", 5, PT_List, Job::NoVec, Job_eig_left_help ),
jobvr ( "jobvr", 5, PT_List, Job::NoVec, Job_eig_right_help ),
jobu ( "jobu", 9, PT_List, Job::NoVec, Job_svd_left_help ),
jobvt ( "jobvt", 9, PT_List, Job::NoVec, Job_svd_right_help ),
// range is set by vl, vu, il, iu, fraction
range ( "range", 9, PT_List, Range::All, Range_help ),
norm ( "norm", 4, PT_List, Norm::One, Norm_help ),
matrixtype( "matrixtype", 10, PT_List, MatrixType::General, MatrixType_help ),
factored ( "factored", 11, PT_List, Factored::NotFactored, Factored_help ),
side ( "side", 6, PT_List, Side::Left, Side_help ),
uplo ( "uplo", 6, PT_List, Uplo::Lower, Uplo_help ),
trans ( "trans", 7, PT_List, Op::NoTrans, Op_help ),
transA ( "transA", 7, PT_List, Op::NoTrans, Op_help ),
transB ( "transB", 7, PT_List, Op::NoTrans, Op_help ),
diag ( "diag", 7, PT_List, Diag::NonUnit, Diag_help ),
pivot ( "pivot", 8, PT_List, Pivot::Variable, Pivot_help ),
direction ( "direction", 8, PT_List, Direction::Forward, Direction_help ),
storev ( "storev", 7, PT_List, StoreV::Columnwise, StoreV_help ),
equed ( "equed", 5, PT_List, Equed::Both, Equed_help ),
//----- routine parameters, numeric
// name, w, p, type, default, min, max, help
dim ( "dim", 6, PT_List, 0, 1e10, "m by n by k dimensions" ),
i ( "i", 6, PT_List, 1, 0, 1e10, "i index (e.g., laed4)" ),
l ( "l", 6, PT_List, 10, 0, 1e10, "l dimension (e.g., tpqrt)" ),
ka ( "ka", 6, PT_List, 10, 0, 1e6, "bandwidth of A" ),
kb ( "kb", 6, PT_List, 10, 0, 1e6, "bandwidth of B" ),
kd ( "kd", 6, PT_List, 10, 0, 1e6, "bandwidth" ),
kl ( "kl", 6, PT_List, 10, 0, 1e6, "lower bandwidth" ),
ku ( "ku", 6, PT_List, 10, 0, 1e6, "upper bandwidth" ),
nrhs ( "nrhs", 6, PT_List, 10, 0, 1e10, "number of right hand sides" ),
nb ( "nb", 4, PT_List, 384, 0, 1e6, "block size" ),
vl ( "vl", 6, 3, PT_List, -inf, -inf, inf, "lower bound of eigen/singular values to find" ),
vu ( "vu", 6, 3, PT_List, inf, -inf, inf, "upper bound of eigen/singular values to find" ),
// input il, iu, or fraction; output {il, iu}_out adjusted for matrix size or set by fraction
il ( "il", 0, PT_List, 1, 1, 1e10, "1-based index of smallest eigen/singular value to find" ),
iu ( "iu", 0, PT_List, -1, -1, 1e10, "1-based index of largest eigen/singular value to find; -1 is all" ),
il_out ( "il", 6, PT_Out, 1, 1, 1e10, "1-based index of smallest eigen/singular value to find (actual value used)" ),
iu_out ( "iu", 6, PT_Out, -1, -1, 1e10, "1-based index of largest eigen/singular value to find (actual value used)" ),
fraction_start( "fraction-start",
0, 0, PT_List, 0, 0, 1, "index of smallest eigen/singular value to find, as fraction of n; sets il = 1 + fraction_start*n" ),
fraction ( "fraction", 0, 0, PT_List, 1, 0, 1, "fraction of eigen/singular values to find; sets iu = il - 1 + fraction*n" ),
alpha ( "alpha", 3, 1, PT_List, pi_rt2i, -inf, inf, "scalar alpha" ),
beta ( "beta", 3, 1, PT_List, e_rt3i, -inf, inf, "scalar beta" ),
incx ( "incx", 4, PT_List, 1, -1e3, 1e3, "stride of x vector" ),
incy ( "incy", 4, PT_List, 1, -1e3, 1e3, "stride of y vector" ),
align ( "align", 0, PT_List, 1, 1, 1024, "column alignment (sets lda, ldb, etc. to multiple of align)" ),
device ( "device", 6, PT_List, 0, 0, 100, "device id" ),
//----- output parameters
// min, max are ignored
// error: %8.2e allows 9.99e-99
// time: %9.3f allows 99999.999 s = 2.9 days
// gflops: %12.3f allows 99999999.999 Gflop/s = 100 Pflop/s
// name, w, p, type, default, min, max, help
error ( "error", 8, 2, PT_Out, no_data, 0, 0, "numerical error" ),
error2 ( "error2", 8, 2, PT_Out, no_data, 0, 0, "numerical error" ),
error3 ( "error3", 8, 2, PT_Out, no_data, 0, 0, "numerical error" ),
error4 ( "error4", 8, 2, PT_Out, no_data, 0, 0, "numerical error" ),
error5 ( "error5", 8, 2, PT_Out, no_data, 0, 0, "numerical error" ),
ortho ( "orth.", 8, 2, PT_Out, no_data, 0, 0, "orthogonality error" ),
ortho_U ( "U orth.", 8, 2, PT_Out, no_data, 0, 0, "U orthogonality error" ),
ortho_V ( "V orth.", 8, 2, PT_Out, no_data, 0, 0, "V orthogonality error" ),
time ( "time (s)", 9, 3, PT_Out, no_data, 0, 0, "time to solution" ),
gflops ( "gflop/s", 12, 3, PT_Out, no_data, 0, 0, "Gflop/s rate" ),
gbytes ( "gbyte/s", 12, 3, PT_Out, no_data, 0, 0, "Gbyte/s rate" ),
iters ( "iters", 5, PT_Out, 0, 0, 0, "iterations to solution" ),
ref_time ( "ref time (s)", 9, 3, PT_Out, no_data, 0, 0, "reference time to solution" ),
ref_gflops( "ref gflop/s", 12, 3, PT_Out, no_data, 0, 0, "reference Gflop/s rate" ),
ref_gbytes( "ref gbyte/s", 12, 3, PT_Out, no_data, 0, 0, "reference Gbyte/s rate" ),
ref_iters ( "ref iters", 5, PT_Out, 0, 0, 0, "reference iterations to solution" ),
// default -1 means "no check"
// name, w, type, default, min, max, help
okay ( "status", 6, PT_Out, -1, 0, 0, "success indicator" ),
msg ( "", 1, PT_Out, "", "error message" )
{
// change names of matrix B's params
matrixB.kind.name( "matrixB" );
matrixB.cond.name( "condB" );
matrixB.condD.name( "condD_B" );
// mark standard set of output fields as used
okay();
error();
time();
// mark framework parameters as used, so they will be accepted on the command line
check();
error_exit();
ref();
repeat();
verbose();
cache();
// routine's parameters are marked by the test routine; see main
}
// -----------------------------------------------------------------------------
// determines the range, il, iu, vl, vu values.
void Params::get_range(
int64_t n, lapack::Range* range_arg,
double* vl_arg, double* vu_arg,
int64_t* il_arg, int64_t* iu_arg )
{
// default assume All
*vl_arg = this->vl();
*vu_arg = this->vu();
*il_arg = std::min( this->il(), n );
*iu_arg = std::min( this->iu(), n );
if (*iu_arg == -1)
*iu_arg = n;
double frac_start = this->fraction_start();
double frac = this->fraction();
if (frac_start + frac > 1)
throw lapack::Error( "Error: fraction_start + fraction > 1" );
// set range based on fraction, il/iu, vl/vu values
if (frac != 1) {
*range_arg = lapack::Range::Index;
*il_arg = std::min( 1 + int64_t( frac_start * n ), n );
*iu_arg = std::min( (*il_arg) - 1 + int64_t( frac * n ), n );
}
else if (*il_arg != 1 || *iu_arg != n) {
*range_arg = lapack::Range::Index;
}
else if (*vl_arg != -inf || *vu_arg != inf) {
*range_arg = lapack::Range::Value;
}
else {
*range_arg = lapack::Range::All;
}
this->range() = *range_arg;
this->il_out() = *il_arg;
this->iu_out() = *iu_arg;
}
// -----------------------------------------------------------------------------
void Params::get_range(
int64_t n, lapack::Range* range_arg,
float* vl_arg, float* vu_arg,
int64_t* il_arg, int64_t* iu_arg )
{
double dvl, dvu;
this->get_range( n, range_arg, &dvl, &dvu, il_arg, iu_arg );
*vl_arg = float(dvl);
*vu_arg = float(dvu);
}
// -----------------------------------------------------------------------------
// Compare a == b, bitwise. Returns true if a and b are both the same NaN value,
// unlike (a == b) which is false for NaNs.
bool same( double a, double b );
bool same( double a, double b )
{
return (memcmp( &a, &b, sizeof(double) ) == 0);
}
// -----------------------------------------------------------------------------
// Prints line describing matrix kind and cond, if kind or cond changed.
// Updates kind and cond to current values.
void print_matrix_header(
MatrixParams& params, const char* caption,
std::string* matrix, double* cond, double* condD );
void print_matrix_header(
MatrixParams& params, const char* caption,
std::string* matrix, double* cond, double* condD )
{
if (params.kind.used() &&
(*matrix != params.kind() ||
! same( *cond, params.cond_used() ) ||
! same( *condD, params.condD() )))
{
*matrix = params.kind();
*cond = params.cond_used();
*condD = params.condD();
printf( "%s: %s, cond(S) = ", caption, matrix->c_str() );
if (std::isnan( *cond ))
printf( "NA" );
else
printf( "%.2e", *cond );
if (! std::isnan(*condD))
printf( ", cond(D) = %.2e", *condD );
printf( "\n" );
}
}
// -----------------------------------------------------------------------------
int main( int argc, char** argv )
{
using testsweeper::QuitException;
// These may or may not be used; mark unused to silence warnings.
blas_unused( pi_rt2i );
blas_unused( e_rt3i );
blas_unused( pi );
blas_unused( e );
// check that all sections have names
require( sizeof(section_names)/sizeof(*section_names) == Section::num_sections );
int status = 0;
try {
int version = lapack::lapackpp_version();
printf( "LAPACK++ version %d.%02d.%02d, id %s\n",
version / 10000, (version % 10000) / 100, version % 100,
lapack::lapackpp_id() );
// print input so running `test [input] > out.txt` documents input
printf( "input: %s", argv[0] );
for (int i = 1; i < argc; ++i) {
// quote arg if necessary
std::string arg( argv[i] );
const char* wordchars = "abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789_-=";
if (arg.find_first_not_of( wordchars ) != std::string::npos)
printf( " '%s'", argv[i] );
else
printf( " %s", argv[i] );
}
printf( "\n" );
// Usage: test [params] routine
if (argc < 2
|| strcmp( argv[argc-1], "-h" ) == 0
|| strcmp( argv[argc-1], "--help" ) == 0)
{
usage( argc, argv, routines, section_names );
throw QuitException();
}
if (strcmp( argv[argc-1], "--help-matrix" ) == 0) {
lapack::generate_matrix_usage();
throw QuitException();
}
// find routine to test
const char* routine = argv[ argc-1 ];
testsweeper::test_func_ptr test_routine = find_tester( routine, routines );
if (test_routine == nullptr) {
usage( argc, argv, routines, section_names );
throw std::runtime_error(
std::string("routine ") + routine + " not found" );
}
// mark fields that are used (run=false)
Params params;
test_routine( params, false );
// Parse parameters up to routine name.
try {
params.parse( routine, argc-2, argv+1 );
}
catch (const std::exception& ex) {
params.help( routine );
throw;
}
// show align column if it has non-default values
if (params.align.size() != 1 || params.align() != 1) {
params.align.width( 5 );
}
// run tests
int repeat = params.repeat();
testsweeper::DataType last = params.datatype();
std::string matrix, matrixB;
double cond = 0, condD = 0, condB = 0, condD_B = 0;
params.header();
do {
if (params.datatype() != last) {
last = params.datatype();
printf( "\n" );
}
for (int iter = 0; iter < repeat; ++iter) {
try {
test_routine( params, true );
}
catch (const std::exception& ex) {
fprintf( stderr, "%s%sError: %s%s\n",
ansi_bold, ansi_red, ex.what(), ansi_normal );
params.okay() = false;
}
if (iter == 0) {
print_matrix_header( params.matrix, "test matrix A", &matrix, &cond, &condD );
print_matrix_header( params.matrixB, "test matrix B", &matrixB, &condB, &condD_B );
}
params.print();
fflush( stdout );
status += ! params.okay();
params.reset_output();
}
if (repeat > 1) {
printf( "\n" );
}
} while(params.next());
if (status) {
printf( "%d tests FAILED for %s.\n", status, routine );
}
else {
printf( "All tests passed for %s.\n", routine );
}
}
catch (const QuitException& ex) {
// pass: no error to print
}
catch (const std::exception& ex) {
fprintf( stderr, "\n%s%sError: %s%s\n",
ansi_bold, ansi_red, ex.what(), ansi_normal );
status = -1;
}
return status;
}
|