diff --git a/tasks/nikolaev_d_sparse_matrix_mult_crs_double/common/include/common.hpp b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/common/include/common.hpp new file mode 100644 index 0000000000..5a4564ee42 --- /dev/null +++ b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/common/include/common.hpp @@ -0,0 +1,26 @@ +#pragma once + +#include +#include +#include + +#include "task/include/task.hpp" + +namespace nikolaev_d_sparse_matrix_mult_crs_double { + +using InType = int; +using OutType = double; +using TestType = std::tuple; +using BaseTask = ppc::task::Task; + +struct MatrixCRS { + std::vector values; + std::vector col_indices; + std::vector row_pointers; + int rows = 0; + int cols = 0; + + MatrixCRS() = default; +}; + +} // namespace nikolaev_d_sparse_matrix_mult_crs_double diff --git a/tasks/nikolaev_d_sparse_matrix_mult_crs_double/data/A_1.txt b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/data/A_1.txt new file mode 100644 index 0000000000..3354cc770a --- /dev/null +++ b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/data/A_1.txt @@ -0,0 +1,4 @@ +3 3 +0 +0 +1 2 -22.621068 diff --git a/tasks/nikolaev_d_sparse_matrix_mult_crs_double/data/A_2.txt b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/data/A_2.txt new file mode 100644 index 0000000000..ecf8fb6ac0 --- /dev/null +++ b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/data/A_2.txt @@ -0,0 +1,3 @@ +2 4 +1 1 62.900220 +0 diff --git a/tasks/nikolaev_d_sparse_matrix_mult_crs_double/data/A_27.txt b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/data/A_27.txt new file mode 100644 index 0000000000..514dda35f4 --- /dev/null +++ b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/data/A_27.txt @@ -0,0 +1,4332 @@ +4331 3947 +24 178 336 363 436 679 808 869 1113 1158 1392 1883 2186 2194 2261 2436 2463 2547 2561 2820 2866 2980 3280 3582 3914 75.689874 65.816905 21.702965 -34.581109 36.996375 -8.502071 -30.370096 -16.874775 64.194417 -97.912526 -78.361017 78.946738 19.680325 63.782246 21.067940 1.472957 66.071217 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3634 3667 3725 -7.507830 85.524462 85.309971 53.131070 83.707539 69.012660 -43.264646 55.123138 -83.858043 18.905777 66.729299 21.972087 -96.156465 -37.535472 29.614461 -57.106201 -81.466319 5.335856 64.229357 13.273739 +8 38 696 879 1600 2044 2262 2264 3295 -0.365243 85.659280 -10.610647 22.397222 -50.693385 -90.104842 84.586004 51.295724 +24 64 100 151 191 598 679 1026 1291 1294 1334 1577 1781 1872 1976 2030 2137 2198 2950 3147 3205 3408 3458 3616 3769 -37.899837 -28.252965 -73.417055 -54.247276 44.703824 -13.785223 62.056873 -39.850617 -90.250370 57.848373 -0.588889 -2.473077 -41.530583 14.594167 -47.959437 -7.032572 -82.125353 -9.714111 57.456441 -6.393183 -34.072124 50.095415 -21.877190 -89.219460 +22 77 98 316 553 642 678 733 964 1149 1169 1190 1231 1330 1442 1520 1627 2280 2609 2951 3127 3640 3792 81.685265 -18.550247 48.419699 37.321128 73.456944 99.159001 1.718972 -9.429934 69.316640 -37.102933 -31.363553 -79.160048 -53.058564 39.331114 -9.243882 44.754964 -34.432292 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64.288621 4.225583 39.724086 50.363194 -17.194915 -75.412074 -33.895316 48.130817 18.438207 -24.675166 -89.254292 -74.379049 71.737727 30.894816 -78.329686 -3.988603 82.570680 +28 113 266 267 338 532 638 1049 1097 1132 1205 1307 1390 1424 1679 1710 1913 2082 2119 2215 2571 2930 3041 3128 3227 3404 3731 3848 3849 83.176174 -8.613020 -88.968815 16.633678 77.538152 -16.470562 -66.063007 -48.014991 -52.900999 -7.991315 84.520670 0.075326 61.317967 -19.506639 44.609563 -30.866237 -87.053042 50.368718 -5.711215 14.611643 42.700608 -70.702380 15.956563 -62.756996 -98.507419 92.095026 50.227005 19.667390 +16 132 519 853 950 989 1023 1289 1377 1787 2103 2107 2183 2536 2791 3287 3892 53.031659 -63.827358 74.099873 27.637676 -50.284526 -51.560412 -37.936472 52.249305 35.211808 -4.958645 73.306764 76.499329 -65.243148 90.570140 -88.230007 -27.682383 +30 166 185 219 250 366 608 675 721 736 930 959 1111 1143 1860 1969 2286 2498 2655 2669 2685 2740 2827 2828 3116 3153 3302 3316 3332 3445 3583 13.605494 -59.878166 75.568704 19.029089 12.522381 49.020754 -52.002343 40.282838 52.057920 76.131297 -93.512333 -50.503401 32.622821 25.896637 -75.163308 -92.540342 62.626023 -48.199725 48.228516 -0.491973 22.132866 24.721020 -62.637446 -15.183738 24.788377 14.602965 -67.159764 -14.090884 24.454686 52.750577 +4 1589 1842 1922 3503 -92.823773 42.517132 -63.421626 94.037999 +38 19 234 421 423 526 585 771 778 803 1191 1329 1351 1401 1472 1479 1700 1765 1788 1833 1867 1874 1973 2184 2228 2650 2838 2846 2912 3286 3385 3550 3571 3754 3822 3827 3837 3865 3867 5.367578 -95.770108 -94.328989 92.277184 72.390382 0.504194 -71.238027 -77.694160 -31.718220 -67.430941 21.344313 -85.785770 36.810422 6.823688 79.670620 31.876279 12.726724 7.835266 -48.567404 92.126751 -63.213070 75.530187 44.394042 23.065348 18.859526 13.319030 -3.961186 -48.436336 -19.625110 73.065978 94.524621 69.669930 -5.659937 -66.576699 91.213283 -88.681087 -78.449236 25.007103 +17 266 286 718 737 746 841 1273 1457 1510 1623 2014 2152 2204 2221 2553 3196 3318 0.285291 82.852802 -18.178490 61.028916 31.781037 -98.056021 -57.175875 -18.551178 67.202271 -82.257339 -43.001072 59.967568 -99.778773 -43.066912 88.181797 -42.756413 -64.100120 +11 229 1117 1219 1333 1712 1969 2297 2833 2948 3466 3678 -16.938879 93.208965 33.301185 -40.456343 25.689513 -66.784283 -38.921481 -26.293779 4.040323 -48.168364 -50.966145 +12 498 772 836 1089 1493 1586 1645 2767 3137 3224 3435 3753 -82.795591 -46.148615 -24.644225 95.870334 -12.155428 -82.970774 24.063929 17.999058 85.202326 -32.893192 -26.429246 43.503677 +20 4 521 580 835 924 934 942 1049 1573 1847 2371 2590 2594 2595 2922 3339 3404 3701 3800 3915 -42.079661 -5.714124 -53.675215 -89.379186 -87.261711 43.421461 36.967755 -68.470270 -83.606732 -10.413886 -46.349440 -67.491349 -1.895185 -63.425274 26.882589 -59.851302 0.655665 46.360909 76.422883 19.375467 +27 384 505 694 701 703 741 777 932 1170 1196 1233 1279 1351 1612 1638 1727 1907 2067 2082 2226 2319 2536 2581 2803 3191 3411 3747 46.314238 -94.919545 57.451415 -5.651198 89.140231 -34.433635 31.514848 71.879544 40.248910 -73.168424 -92.482878 -35.092869 -7.217479 43.234608 -57.278544 -1.126357 -54.778055 -6.958291 90.121632 -4.949325 94.872535 -41.814879 -79.847225 31.094888 14.372799 -69.436442 67.274230 +35 236 261 487 676 755 804 939 970 1008 1139 1148 1159 1338 1453 1628 1697 1798 1945 2500 2506 2528 2675 2771 2792 2824 2923 2999 3166 3190 3374 3401 3456 3519 3784 3847 -83.795164 84.357648 35.331066 64.586359 -38.163815 -28.508970 -6.003765 -93.427527 16.706405 -27.553387 64.134643 -29.472575 -55.768086 37.977098 -78.129290 -38.825172 -87.934918 -27.449902 79.993412 19.110141 74.397195 -30.867449 74.658577 15.144545 31.820529 17.758838 -2.440584 -15.722879 69.918571 -54.690265 11.628355 -70.303934 -98.763659 -76.453161 2.248510 +39 61 82 110 239 358 437 542 549 584 618 651 654 755 785 872 1012 1381 1513 1628 1689 1705 1773 2110 2114 2122 2761 2807 2865 2908 2965 2989 3074 3234 3325 3334 3598 3659 3723 3765 77.076047 -53.273248 -3.145770 -3.953509 81.501226 62.450821 -85.774006 86.324745 -9.249794 -15.462389 46.615759 -67.475776 11.726110 56.397986 -78.265517 -78.127200 -73.194739 -62.747170 89.528038 -89.812209 -76.707090 90.688908 -89.710723 -15.669890 70.388555 -84.877119 95.647460 -2.511093 -44.079806 71.709461 60.830760 -9.089871 -98.784061 3.054367 7.260289 -63.192088 -43.750005 -17.267774 35.321016 +22 232 336 400 746 777 942 1312 1350 1358 1623 1724 1956 2014 2534 2701 3203 3247 3253 3655 3762 3772 3849 30.603201 -21.252775 -72.540836 -7.186507 32.075920 -39.782365 8.415156 76.460770 -76.627150 -11.826568 8.971238 67.381211 -76.788732 -81.498177 -66.882583 79.124586 -54.592906 54.431059 88.146683 -61.953201 -97.024645 -42.450333 +18 168 409 582 644 1078 1381 1541 1662 1831 2106 2219 2243 2654 2819 3214 3238 3266 3503 -0.964550 -14.290751 -58.951494 89.037025 -78.576002 24.775921 -6.178235 97.278967 59.667287 -67.014926 -3.827084 52.091772 92.771862 -96.832524 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3549 3650 3733 3910 4045 4049 4191 90.571506 -33.601247 48.848268 -37.329545 -9.132323 -47.461700 -14.140693 2.885550 98.533844 -36.926872 -75.730134 -87.241982 -74.351921 60.492326 -66.058388 -75.646048 -10.485363 65.082711 -76.127048 -10.565921 61.914166 21.024281 -87.912710 97.400596 38.852458 25.078394 14.851670 -40.611082 -83.938262 -1.192625 41.357451 -73.768112 -98.988043 -10.516524 14.751614 19.387213 -87.959869 -25.760752 -80.621141 +25 220 344 422 689 724 763 770 864 878 1008 1288 1690 2219 2325 2427 2841 2980 3400 3418 3422 3588 3734 3763 4018 4196 -13.617765 -99.737549 80.819299 -48.131776 74.831243 -5.045174 -72.462447 -83.066603 -91.128570 15.064224 22.527883 -93.949097 7.366459 76.323937 80.416242 82.364472 -48.349387 46.606732 -57.201842 27.469201 -81.353947 -3.876675 -38.285495 -28.178158 81.058231 +28 10 144 423 908 946 1052 1403 1420 1461 1523 1705 1749 1757 2040 2078 2398 2445 2699 3081 3090 3158 3566 3742 3807 3824 3843 3930 4067 -25.403182 -43.110707 -87.667316 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146 392 533 625 716 1006 1099 1117 1247 1321 1420 1531 1650 1651 1679 1811 1865 1940 2041 2075 2095 2103 2236 2495 2620 2743 2851 3157 3244 3299 3415 3552 3673 3679 4089 4106 -0.232212 58.513913 60.095477 90.181296 69.288842 -56.377590 33.581536 0.048428 -22.661266 85.952664 15.313676 -64.780795 -55.973987 16.025785 -37.909945 49.844228 94.100270 66.677512 61.233259 -25.309374 42.617654 92.405785 -13.521098 96.021439 -77.403156 33.192001 -11.684272 -25.895102 35.186511 94.891907 -57.845419 19.577269 67.172418 -7.898710 26.921773 75.639743 +8 300 672 930 1118 2318 2811 3846 4039 -48.860619 53.012275 -93.377185 -67.716085 22.174825 -15.184967 23.474537 79.059063 +29 161 265 487 641 714 747 1276 1291 1309 1576 1849 1912 2136 2145 2200 2469 2481 2587 2819 2848 2953 2975 2984 3261 3538 3874 3990 4025 4173 82.557520 58.218911 39.454730 16.712329 -38.858173 -92.052982 -95.507857 80.955379 85.486980 -64.250964 -18.296555 -54.585594 -48.568395 -65.346937 44.880478 -78.615073 -74.690167 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-55.510682 -70.405580 -40.216363 41.852881 +19 281 822 992 1078 1124 1206 1672 1798 2121 2515 2747 2752 3081 3276 3459 3548 3549 3829 4157 93.916419 50.734718 60.314232 -96.064868 5.035220 -80.991301 -66.284855 -66.723975 31.222658 -54.802595 42.913127 69.094787 76.424938 -7.644152 -40.959898 31.192484 89.421541 -72.033441 -59.945009 +41 152 214 241 305 338 340 388 429 493 634 685 688 920 975 1182 1201 1253 1283 1510 1526 1717 1792 1812 2103 2114 2334 2346 2383 2422 2488 2551 2651 2656 3010 3062 3336 3409 3446 3736 3862 3883 -16.856301 35.395153 65.195698 -96.368149 82.018532 76.228809 62.246776 65.234365 -98.657726 -5.593807 -39.766565 -8.658941 -96.459273 -96.253711 84.933490 -55.544206 -99.512516 51.452821 55.898758 -16.989263 61.684794 -23.946545 63.259300 71.207982 -47.407826 63.825274 60.127997 99.544021 7.979597 -36.481550 -33.828639 -22.649239 -22.702646 -58.186090 4.943433 85.486696 -15.618469 -10.210295 31.660526 78.341027 65.715815 +37 203 280 334 512 591 859 1447 1612 1732 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11.455228 -6.776241 74.689241 98.926303 -2.209875 -30.650483 +5 3 10 33 49 65 4.268222 36.637414 3.300834 24.387082 -18.162297 +2 44 89 -12.342909 95.784433 +0 +4 20 38 41 58 -71.286811 79.026507 92.764877 -99.030578 diff --git a/tasks/nikolaev_d_sparse_matrix_mult_crs_double/data/B_33.txt b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/data/B_33.txt new file mode 100644 index 0000000000..86d2567ea4 --- /dev/null +++ b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/data/B_33.txt @@ -0,0 +1,2 @@ +1 5 +1 0 24.799017 diff --git a/tasks/nikolaev_d_sparse_matrix_mult_crs_double/data/B_34.txt b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/data/B_34.txt new file mode 100644 index 0000000000..27adc8af12 --- /dev/null +++ b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/data/B_34.txt @@ -0,0 +1,6 @@ +5 5 +0 +1 3 36.286167 +0 +0 +0 diff --git a/tasks/nikolaev_d_sparse_matrix_mult_crs_double/data/B_35.txt b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/data/B_35.txt new file mode 100644 index 0000000000..bc7af47020 --- /dev/null +++ b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/data/B_35.txt @@ -0,0 +1,6 @@ +5 5 +0 +1 0 -14.635261 +1 1 -34.816377 +0 +0 diff --git a/tasks/nikolaev_d_sparse_matrix_mult_crs_double/data/B_36.txt b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/data/B_36.txt new file mode 100644 index 0000000000..a11e8d8b70 --- /dev/null +++ b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/data/B_36.txt @@ -0,0 +1,6 @@ +5 3 +0 +1 2 5.423016 +0 +1 0 -17.686672 +2 1 2 -16.288787 -33.549496 diff --git a/tasks/nikolaev_d_sparse_matrix_mult_crs_double/data/B_4.txt b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/data/B_4.txt new file mode 100644 index 0000000000..f73c55946b --- /dev/null +++ b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/data/B_4.txt @@ -0,0 +1,11 @@ +10 3 +1 1 -4.215654 +1 2 -56.041697 +1 1 48.538089 +0 +0 +0 +1 2 42.534233 +0 +1 0 53.131484 +0 diff --git a/tasks/nikolaev_d_sparse_matrix_mult_crs_double/data/B_5.txt b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/data/B_5.txt new file mode 100644 index 0000000000..612c33655b --- /dev/null +++ b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/data/B_5.txt @@ -0,0 +1,6 @@ +5 1 +1 0 31.351866 +1 0 -26.662252 +0 +1 0 98.837156 +0 diff --git a/tasks/nikolaev_d_sparse_matrix_mult_crs_double/info.json b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/info.json new file mode 100644 index 0000000000..3c69d3000f --- /dev/null +++ b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/info.json @@ -0,0 +1,9 @@ +{ + "student": { + "first_name": "Денис", + "last_name": "Николаев", + "middle_name": "Андреевич", + "group_number": "3823Б1ФИ1", + "task_number": "3" + } +} diff --git a/tasks/nikolaev_d_sparse_matrix_mult_crs_double/mpi/include/ops_mpi.hpp b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/mpi/include/ops_mpi.hpp new file mode 100644 index 0000000000..8e9c2aeb38 --- /dev/null +++ b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/mpi/include/ops_mpi.hpp @@ -0,0 +1,45 @@ +#pragma once + +#include +#include + +#include "nikolaev_d_sparse_matrix_mult_crs_double/common/include/common.hpp" +#include "task/include/task.hpp" + +namespace nikolaev_d_sparse_matrix_mult_crs_double { + +class NikolaevDSparseMatrixMultCrsDoubleMPI : public BaseTask { + public: + static constexpr ppc::task::TypeOfTask GetStaticTypeOfTask() { + return ppc::task::TypeOfTask::kMPI; + } + explicit NikolaevDSparseMatrixMultCrsDoubleMPI(const InType &in); + + private: + bool ValidationImpl() override; + bool PreProcessingImpl() override; + bool RunImpl() override; + bool PostProcessingImpl() override; + + void BroadcastMatrixInfo(); + void DistributeMatrixA(); + void DistributeMatrixB(); + void GatherResults(); + + MatrixCRS matrix_A_; + MatrixCRS matrix_B_; + MatrixCRS result_matrix_; + MatrixCRS local_a_rows_; + MatrixCRS local_result_; + + std::string matrix_A_filename_; + std::string matrix_B_filename_; + std::vector local_rows_; + + int rows_A_ = 0; + int cols_A_ = 0; + int rows_B_ = 0; + int cols_B_ = 0; +}; + +} // namespace nikolaev_d_sparse_matrix_mult_crs_double diff --git a/tasks/nikolaev_d_sparse_matrix_mult_crs_double/mpi/src/ops_mpi.cpp b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/mpi/src/ops_mpi.cpp new file mode 100644 index 0000000000..220ef87545 --- /dev/null +++ b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/mpi/src/ops_mpi.cpp @@ -0,0 +1,634 @@ +#include "nikolaev_d_sparse_matrix_mult_crs_double/mpi/include/ops_mpi.hpp" + +#include + +#include +#include +#include +#include +#include +#include +#include +#include + +#include "nikolaev_d_sparse_matrix_mult_crs_double/common/include/common.hpp" +#include "util/include/util.hpp" + +namespace nikolaev_d_sparse_matrix_mult_crs_double { + +namespace { + +bool ReadDimensions(std::ifstream &file, MatrixCRS &matrix) { + bool success = true; + file >> matrix.rows; + file >> matrix.cols; + + if (matrix.rows <= 0 || matrix.cols <= 0) { + success = false; + } + + return success; +} + +bool ReadRowData(std::ifstream &file, MatrixCRS &matrix, int row_index) { + int nonzeros = 0; + file >> nonzeros; + + for (int j = 0; j < nonzeros; ++j) { + int col_idx = 0; + file >> col_idx; + matrix.col_indices.push_back(col_idx); + } + + for (int j = 0; j < nonzeros; ++j) { + double value = 0.0; + file >> value; + matrix.values.push_back(value); + } + + matrix.row_pointers[static_cast(row_index) + 1] = + matrix.row_pointers[static_cast(row_index)] + nonzeros; + + return true; +} + +bool ReadMatrixFromFileImpl(const std::string &filename, MatrixCRS &matrix) { + std::ifstream file(filename); + + bool success = ReadDimensions(file, matrix); + + matrix.row_pointers.resize(static_cast(matrix.rows) + 1); + matrix.row_pointers[0] = 0; + + for (int i = 0; i < matrix.rows; ++i) { + success = success && ReadRowData(file, matrix, i); + } + + file.close(); + return success; +} + +void ProcessRowMultiplication(const MatrixCRS &a, const MatrixCRS &b, int row_index, std::vector &row_values) { + std::ranges::fill(row_values, 0.0); + + int row_start_a = a.row_pointers[static_cast(row_index)]; + int row_end_a = a.row_pointers[static_cast(row_index) + 1]; + + for (int k = row_start_a; k < row_end_a; ++k) { + int col_a = a.col_indices[static_cast(k)]; + double val_a = a.values[static_cast(k)]; + + int row_start_b = b.row_pointers[static_cast(col_a)]; + int row_end_b = b.row_pointers[static_cast(col_a) + 1]; + + for (int idx = row_start_b; idx < row_end_b; ++idx) { + int col_b = b.col_indices[static_cast(idx)]; + double val_b = b.values[static_cast(idx)]; + row_values[static_cast(col_b)] += val_a * val_b; + } + } +} + +void CollectRowResult(const std::vector &row_values, MatrixCRS &result, int row_index) { + for (size_t j = 0; j < row_values.size(); ++j) { + if (row_values[j] != 0.0) { + result.values.push_back(row_values[j]); + result.col_indices.push_back(static_cast(j)); + } + } + + result.row_pointers[static_cast(row_index) + 1] = static_cast(result.values.size()); +} + +MatrixCRS MultiplyMatricesImpl(const MatrixCRS &a, const MatrixCRS &b) { + MatrixCRS result; + result.rows = a.rows; + result.cols = b.cols; + result.row_pointers.resize(static_cast(result.rows) + 1); + + if (result.row_pointers.empty()) { + return result; + } + + result.row_pointers[0] = 0; + + std::vector row_values(static_cast(result.cols), 0.0); + + for (int i = 0; i < a.rows; ++i) { + ProcessRowMultiplication(a, b, i, row_values); + CollectRowResult(row_values, result, i); + } + + return result; +} + +double SumMatrixElementsImpl(const MatrixCRS &matrix) { + double sum = 0.0; + + for (double value : matrix.values) { + sum += value; + } + + return sum; +} + +std::vector GetLocalRowsImpl(int rank, int size, int total_rows) { + std::vector local_rows; + int rows_per_process = total_rows / size; + int remainder = total_rows % size; + + int start_row = (rank * rows_per_process) + std::min(rank, remainder); + int end_row = start_row + rows_per_process + (rank < remainder ? 1 : 0); + + for (int i = start_row; i < end_row; ++i) { + local_rows.push_back(i); + } + + return local_rows; +} + +void PrepareRowDataForSending(const std::vector &proc_rows, const MatrixCRS &matrix_a, std::vector &row_nnz, + std::vector &col_indices, std::vector &values) { + for (int row_idx : proc_rows) { + int row_start = matrix_a.row_pointers[static_cast(row_idx)]; + int row_end = matrix_a.row_pointers[static_cast(row_idx) + 1]; + int row_nnz_count = row_end - row_start; + row_nnz.push_back(row_nnz_count); + + for (int i = row_start; i < row_end; ++i) { + col_indices.push_back(matrix_a.col_indices[static_cast(i)]); + } + + for (int i = row_start; i < row_end; ++i) { + values.push_back(matrix_a.values[static_cast(i)]); + } + } +} + +void SendRowDataToProcess(int proc, const std::vector &row_nnz, const std::vector &col_indices, + const std::vector &values) { + int row_nnz_size = static_cast(row_nnz.size()); + MPI_Send(row_nnz.data(), row_nnz_size, MPI_INT, proc, 1, MPI_COMM_WORLD); + + int col_indices_size = static_cast(col_indices.size()); + MPI_Send(&col_indices_size, 1, MPI_INT, proc, 2, MPI_COMM_WORLD); + + if (col_indices_size > 0) { + MPI_Send(col_indices.data(), col_indices_size, MPI_INT, proc, 3, MPI_COMM_WORLD); + } + + int values_size = static_cast(values.size()); + MPI_Send(&values_size, 1, MPI_INT, proc, 4, MPI_COMM_WORLD); + + if (values_size > 0) { + MPI_Send(values.data(), values_size, MPI_DOUBLE, proc, 5, MPI_COMM_WORLD); + } +} + +void SendMatrixDataToProcess(int proc, const std::vector &proc_rows, const MatrixCRS &matrix_a) { + int num_rows = static_cast(proc_rows.size()); + MPI_Send(&num_rows, 1, MPI_INT, proc, 0, MPI_COMM_WORLD); + + if (num_rows > 0) { + std::vector row_nnz; + std::vector col_indices; + std::vector values; + + PrepareRowDataForSending(proc_rows, matrix_a, row_nnz, col_indices, values); + SendRowDataToProcess(proc, row_nnz, col_indices, values); + } +} + +void ReceiveRowDataFromMaster(int num_rows, std::vector &row_nnz, std::vector &col_indices, + std::vector &values) { + row_nnz.resize(static_cast(num_rows)); + MPI_Recv(row_nnz.data(), num_rows, MPI_INT, 0, 1, MPI_COMM_WORLD, MPI_STATUS_IGNORE); + + int col_indices_size = 0; + MPI_Recv(&col_indices_size, 1, MPI_INT, 0, 2, MPI_COMM_WORLD, MPI_STATUS_IGNORE); + + if (col_indices_size > 0) { + col_indices.resize(static_cast(col_indices_size)); + MPI_Recv(col_indices.data(), col_indices_size, MPI_INT, 0, 3, MPI_COMM_WORLD, MPI_STATUS_IGNORE); + } + + int values_size = 0; + MPI_Recv(&values_size, 1, MPI_INT, 0, 4, MPI_COMM_WORLD, MPI_STATUS_IGNORE); + + if (values_size > 0) { + values.resize(static_cast(values_size)); + MPI_Recv(values.data(), values_size, MPI_DOUBLE, 0, 5, MPI_COMM_WORLD, MPI_STATUS_IGNORE); + } +} + +void BuildLocalMatrixFromReceivedData(const std::vector &row_nnz, const std::vector &col_indices, + const std::vector &values, MatrixCRS &local_a_rows) { + local_a_rows.row_pointers.resize(static_cast(local_a_rows.rows) + 1); + local_a_rows.row_pointers[0] = 0; + + size_t col_idx_pos = 0; + size_t val_pos = 0; + + for (int i = 0; i < local_a_rows.rows; ++i) { + int nnz = row_nnz[static_cast(i)]; + + for (int j = 0; j < nnz; ++j) { + local_a_rows.col_indices.push_back(col_indices[col_idx_pos]); + col_idx_pos++; + local_a_rows.values.push_back(values[val_pos]); + val_pos++; + } + + local_a_rows.row_pointers[i + 1] = local_a_rows.row_pointers[i] + nnz; + } +} + +void ReceiveMatrixDataFromMaster(int rank, int size, MatrixCRS &local_a_rows, std::vector &local_rows, + int rows_a) { + int num_rows = 0; + MPI_Recv(&num_rows, 1, MPI_INT, 0, 0, MPI_COMM_WORLD, MPI_STATUS_IGNORE); + local_rows = GetLocalRowsImpl(rank, size, rows_a); + + if (num_rows > 0) { + std::vector row_nnz; + std::vector col_indices; + std::vector values; + + local_a_rows.rows = num_rows; + + ReceiveRowDataFromMaster(num_rows, row_nnz, col_indices, values); + BuildLocalMatrixFromReceivedData(row_nnz, col_indices, values, local_a_rows); + } +} + +void ProcessLocalRowForInitialization(int global_row, const MatrixCRS &matrix_a, MatrixCRS &local_a_rows, + size_t local_index) { + int row_start = matrix_a.row_pointers[static_cast(global_row)]; + int row_end = matrix_a.row_pointers[static_cast(global_row) + 1]; + int row_nnz_count = row_end - row_start; + + for (int j = row_start; j < row_end; ++j) { + local_a_rows.col_indices.push_back(matrix_a.col_indices[static_cast(j)]); + local_a_rows.values.push_back(matrix_a.values[static_cast(j)]); + } + + local_a_rows.row_pointers[local_index + 1] = local_a_rows.row_pointers[local_index] + row_nnz_count; +} + +void InitializeLocalRowsOnMaster(int rank, int size, MatrixCRS &matrix_a, MatrixCRS &local_a_rows, + std::vector &local_rows) { + local_rows = GetLocalRowsImpl(rank, size, matrix_a.rows); + local_a_rows.rows = static_cast(local_rows.size()); + local_a_rows.cols = matrix_a.cols; + local_a_rows.row_pointers.resize(static_cast(local_a_rows.rows) + 1); + local_a_rows.row_pointers[0] = 0; + + for (size_t i = 0; i < local_rows.size(); ++i) { + int global_row = local_rows[i]; + ProcessLocalRowForInitialization(global_row, matrix_a, local_a_rows, i); + } +} + +void GatherLocalRowCountsMaster(const MatrixCRS &local_result, const std::vector &local_rows, + std::vector &all_nnz_counts) { + std::vector local_nnz_counts; + + for (size_t i = 0; i < local_rows.size(); ++i) { + int row_nnz = local_result.row_pointers[i + 1] - local_result.row_pointers[i]; + local_nnz_counts.push_back(row_nnz); + } + + for (size_t i = 0; i < local_rows.size(); ++i) { + int global_row = local_rows[i]; + all_nnz_counts[static_cast(global_row)] = local_nnz_counts[i]; + } +} + +void GatherLocalRowCountsWorker(const MatrixCRS &local_result, const std::vector &local_rows) { + std::vector local_nnz_counts; + + for (size_t i = 0; i < local_rows.size(); ++i) { + int row_nnz = local_result.row_pointers[i + 1] - local_result.row_pointers[i]; + local_nnz_counts.push_back(row_nnz); + } + + if (!local_nnz_counts.empty()) { + MPI_Send(local_nnz_counts.data(), static_cast(local_nnz_counts.size()), MPI_INT, 0, 0, MPI_COMM_WORLD); + } else { + int dummy = 0; + MPI_Send(&dummy, 0, MPI_INT, 0, 0, MPI_COMM_WORLD); + } +} + +void ReceiveRowCountsFromProcesses(int size, int rows_a, std::vector &all_nnz_counts) { + for (int proc = 1; proc < size; ++proc) { + std::vector proc_rows = GetLocalRowsImpl(proc, size, rows_a); + int proc_num_rows = static_cast(proc_rows.size()); + + if (proc_num_rows > 0) { + std::vector proc_nnz_counts(static_cast(proc_num_rows)); + MPI_Recv(proc_nnz_counts.data(), proc_num_rows, MPI_INT, proc, 0, MPI_COMM_WORLD, MPI_STATUS_IGNORE); + + for (int i = 0; i < proc_num_rows; ++i) { + int global_row = proc_rows[static_cast(i)]; + all_nnz_counts[static_cast(global_row)] = proc_nnz_counts[static_cast(i)]; + } + } else { + int dummy = 0; + MPI_Recv(&dummy, 0, MPI_INT, proc, 0, MPI_COMM_WORLD, MPI_STATUS_IGNORE); + } + } +} + +void GatherRowCounts(int rank, int size, const MatrixCRS &local_result, MatrixCRS &result_matrix) { + std::vector local_rows = GetLocalRowsImpl(rank, size, result_matrix.rows); + + if (rank == 0) { + std::vector all_nnz_counts(static_cast(result_matrix.rows), 0); + + GatherLocalRowCountsMaster(local_result, local_rows, all_nnz_counts); + ReceiveRowCountsFromProcesses(size, result_matrix.rows, all_nnz_counts); + + result_matrix.row_pointers[0] = 0; + for (int i = 0; i < result_matrix.rows; ++i) { + result_matrix.row_pointers[i + 1] = result_matrix.row_pointers[i] + all_nnz_counts[static_cast(i)]; + } + + for (int proc = 1; proc < size; ++proc) { + MPI_Send(result_matrix.row_pointers.data(), result_matrix.rows + 1, MPI_INT, proc, 1, MPI_COMM_WORLD); + } + } else { + GatherLocalRowCountsWorker(local_result, local_rows); + + MPI_Recv(result_matrix.row_pointers.data(), result_matrix.rows + 1, MPI_INT, 0, 1, MPI_COMM_WORLD, + MPI_STATUS_IGNORE); + } +} + +void SendLocalRowDataToMaster(const MatrixCRS &local_result, const std::vector &local_rows) { + for (size_t i = 0; i < local_rows.size(); ++i) { + int global_row = local_rows[i]; + int local_start = local_result.row_pointers[i]; + int local_end = local_result.row_pointers[i + 1]; + int row_nnz = local_end - local_start; + + if (row_nnz > 0) { + MPI_Send(&local_result.col_indices[static_cast(local_start)], row_nnz, MPI_INT, 0, global_row * 2, + MPI_COMM_WORLD); + MPI_Send(&local_result.values[static_cast(local_start)], row_nnz, MPI_DOUBLE, 0, (global_row * 2) + 1, + MPI_COMM_WORLD); + } + } +} + +void ReceiveRowDataFromProcess(int proc, int size, MatrixCRS &result_matrix) { + std::vector proc_rows = GetLocalRowsImpl(proc, size, result_matrix.rows); + + for (int global_row : proc_rows) { + int row_start = result_matrix.row_pointers[static_cast(global_row)]; + int row_end = result_matrix.row_pointers[static_cast(global_row) + 1]; + int row_nnz = row_end - row_start; + + if (row_nnz > 0) { + MPI_Recv(&result_matrix.col_indices[static_cast(row_start)], row_nnz, MPI_INT, proc, global_row * 2, + MPI_COMM_WORLD, MPI_STATUS_IGNORE); + MPI_Recv(&result_matrix.values[static_cast(row_start)], row_nnz, MPI_DOUBLE, proc, (global_row * 2) + 1, + MPI_COMM_WORLD, MPI_STATUS_IGNORE); + } + } +} + +void GatherLocalRowDataOnMaster(const MatrixCRS &local_result, const std::vector &local_rows, + MatrixCRS &result_matrix) { + for (size_t i = 0; i < local_rows.size(); ++i) { + int global_row = local_rows[i]; + int local_start = local_result.row_pointers[i]; + int local_end = local_result.row_pointers[i + 1]; + int row_nnz = local_end - local_start; + + if (row_nnz > 0) { + int row_start = result_matrix.row_pointers[static_cast(global_row)]; + + std::copy(local_result.col_indices.begin() + static_cast::difference_type>(local_start), + local_result.col_indices.begin() + static_cast::difference_type>(local_end), + result_matrix.col_indices.begin() + static_cast::difference_type>(row_start)); + + std::copy(local_result.values.begin() + static_cast::difference_type>(local_start), + local_result.values.begin() + static_cast::difference_type>(local_end), + result_matrix.values.begin() + static_cast::difference_type>(row_start)); + } + } +} + +void GatherRowData(int rank, int size, const MatrixCRS &local_result, MatrixCRS &result_matrix) { + std::vector local_rows = GetLocalRowsImpl(rank, size, result_matrix.rows); + + if (rank == 0) { + GatherLocalRowDataOnMaster(local_result, local_rows, result_matrix); + + for (int proc = 1; proc < size; ++proc) { + ReceiveRowDataFromProcess(proc, size, result_matrix); + } + } else { + SendLocalRowDataToMaster(local_result, local_rows); + } +} + +} // namespace + +NikolaevDSparseMatrixMultCrsDoubleMPI::NikolaevDSparseMatrixMultCrsDoubleMPI(const InType &in) { + SetTypeOfTask(GetStaticTypeOfTask()); + GetInput() = in; + GetOutput() = 0.0; + + matrix_A_filename_ = ppc::util::GetAbsoluteTaskPath("nikolaev_d_sparse_matrix_mult_crs_double", + "A_" + std::to_string(GetInput()) + ".txt"); + matrix_B_filename_ = ppc::util::GetAbsoluteTaskPath("nikolaev_d_sparse_matrix_mult_crs_double", + "B_" + std::to_string(GetInput()) + ".txt"); +} + +bool NikolaevDSparseMatrixMultCrsDoubleMPI::ValidationImpl() { + int rank = 0; + MPI_Comm_rank(MPI_COMM_WORLD, &rank); + + if (rank == 0) { + bool input_valid = (GetInput() > 0); + bool output_valid = (GetOutput() == 0.0); + return input_valid && output_valid; + } + + return true; +} + +bool NikolaevDSparseMatrixMultCrsDoubleMPI::PreProcessingImpl() { + int rank = 0; + MPI_Comm_rank(MPI_COMM_WORLD, &rank); + + bool success = true; + + if (rank == 0) { + success = success && ReadMatrixFromFileImpl(matrix_A_filename_, matrix_A_); + success = success && ReadMatrixFromFileImpl(matrix_B_filename_, matrix_B_); + + if (!success) { + return false; + } + + if (matrix_A_.cols != matrix_B_.rows) { + return false; + } + } + + BroadcastMatrixInfo(); + MPI_Barrier(MPI_COMM_WORLD); + + return success; +} + +void NikolaevDSparseMatrixMultCrsDoubleMPI::BroadcastMatrixInfo() { + int rank = 0; + MPI_Comm_rank(MPI_COMM_WORLD, &rank); + + std::array matrix_info = {0, 0, 0, 0}; + + if (rank == 0) { + matrix_info[0] = matrix_A_.rows; + matrix_info[1] = matrix_A_.cols; + matrix_info[2] = matrix_B_.rows; + matrix_info[3] = matrix_B_.cols; + } + + MPI_Bcast(matrix_info.data(), 4, MPI_INT, 0, MPI_COMM_WORLD); + + rows_A_ = matrix_info[0]; + cols_A_ = matrix_info[1]; + rows_B_ = matrix_info[2]; + cols_B_ = matrix_info[3]; +} + +void NikolaevDSparseMatrixMultCrsDoubleMPI::DistributeMatrixA() { + int rank = 0; + int size = 0; + MPI_Comm_rank(MPI_COMM_WORLD, &rank); + MPI_Comm_size(MPI_COMM_WORLD, &size); + + if (rank == 0) { + for (int proc = 1; proc < size; ++proc) { + std::vector proc_rows = GetLocalRowsImpl(proc, size, matrix_A_.rows); + SendMatrixDataToProcess(proc, proc_rows, matrix_A_); + } + + InitializeLocalRowsOnMaster(rank, size, matrix_A_, local_a_rows_, local_rows_); + } else { + ReceiveMatrixDataFromMaster(rank, size, local_a_rows_, local_rows_, rows_A_); + } +} + +void NikolaevDSparseMatrixMultCrsDoubleMPI::DistributeMatrixB() { + int rank = 0; + int size = 0; + MPI_Comm_rank(MPI_COMM_WORLD, &rank); + MPI_Comm_size(MPI_COMM_WORLD, &size); + + if (rank == 0) { + int total_nnz = static_cast(matrix_B_.values.size()); + MPI_Bcast(&total_nnz, 1, MPI_INT, 0, MPI_COMM_WORLD); + + if (total_nnz > 0) { + MPI_Bcast(matrix_B_.row_pointers.data(), matrix_B_.rows + 1, MPI_INT, 0, MPI_COMM_WORLD); + MPI_Bcast(matrix_B_.col_indices.data(), total_nnz, MPI_INT, 0, MPI_COMM_WORLD); + MPI_Bcast(matrix_B_.values.data(), total_nnz, MPI_DOUBLE, 0, MPI_COMM_WORLD); + } + + matrix_B_.rows = rows_B_; + matrix_B_.cols = cols_B_; + } else { + int total_nnz = 0; + MPI_Bcast(&total_nnz, 1, MPI_INT, 0, MPI_COMM_WORLD); + + if (total_nnz > 0) { + matrix_B_.rows = rows_B_; + matrix_B_.cols = cols_B_; + matrix_B_.row_pointers.resize(static_cast(matrix_B_.rows) + 1); + matrix_B_.col_indices.resize(static_cast(total_nnz)); + matrix_B_.values.resize(static_cast(total_nnz)); + + MPI_Bcast(matrix_B_.row_pointers.data(), matrix_B_.rows + 1, MPI_INT, 0, MPI_COMM_WORLD); + MPI_Bcast(matrix_B_.col_indices.data(), total_nnz, MPI_INT, 0, MPI_COMM_WORLD); + MPI_Bcast(matrix_B_.values.data(), total_nnz, MPI_DOUBLE, 0, MPI_COMM_WORLD); + } + } +} + +void NikolaevDSparseMatrixMultCrsDoubleMPI::GatherResults() { + int rank = 0; + int size = 0; + MPI_Comm_rank(MPI_COMM_WORLD, &rank); + MPI_Comm_size(MPI_COMM_WORLD, &size); + + if (rank == 0) { + result_matrix_.rows = rows_A_; + result_matrix_.cols = cols_B_; + } + + std::array dims = {rows_A_, cols_B_}; + MPI_Bcast(dims.data(), 2, MPI_INT, 0, MPI_COMM_WORLD); + + if (rank != 0) { + result_matrix_.rows = dims[0]; + result_matrix_.cols = dims[1]; + } + + result_matrix_.row_pointers.resize(static_cast(result_matrix_.rows) + 1); + GatherRowCounts(rank, size, local_result_, result_matrix_); + + if (rank == 0) { + int total_nnz = result_matrix_.row_pointers[static_cast(rows_A_)]; + result_matrix_.col_indices.resize(static_cast(total_nnz)); + result_matrix_.values.resize(static_cast(total_nnz)); + } + + GatherRowData(rank, size, local_result_, result_matrix_); +} + +bool NikolaevDSparseMatrixMultCrsDoubleMPI::RunImpl() { + int rank = 0; + int size = 0; + MPI_Comm_rank(MPI_COMM_WORLD, &rank); + MPI_Comm_size(MPI_COMM_WORLD, &size); + + DistributeMatrixA(); + DistributeMatrixB(); + MPI_Barrier(MPI_COMM_WORLD); + + local_result_ = MultiplyMatricesImpl(local_a_rows_, matrix_B_); + MPI_Barrier(MPI_COMM_WORLD); + + GatherResults(); + + return true; +} + +bool NikolaevDSparseMatrixMultCrsDoubleMPI::PostProcessingImpl() { + int rank = 0; + int size = 0; + MPI_Comm_rank(MPI_COMM_WORLD, &rank); + MPI_Comm_size(MPI_COMM_WORLD, &size); + + if (rank == 0) { + double sum = SumMatrixElementsImpl(result_matrix_); + GetOutput() = sum; + } + + double final_result = 0.0; + if (rank == 0) { + final_result = GetOutput(); + } + + MPI_Bcast(&final_result, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD); + GetOutput() = final_result; + + return true; +} + +} // namespace nikolaev_d_sparse_matrix_mult_crs_double diff --git a/tasks/nikolaev_d_sparse_matrix_mult_crs_double/report.md b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/report.md new file mode 100644 index 0000000000..e93e90b6b0 --- /dev/null +++ b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/report.md @@ -0,0 +1,253 @@ +# Умножение разреженных матриц. Элементы типа double. Формат хранения матрицы – строковый (CRS). + +- Студент: Николаев Денис Андреевич, группа 3823Б1ФИ1 +- Технология: SEQ | MPI +- Вариант: 4 + +## 1. Введение +Разработка последовательного (SEQ) и параллельного (MPI) алгоритмов умножения разреженных матриц в формате CRS (Compressed Row Storage). Цель — ускорить работу с большими матрицами за счет распараллеливания вычислений и минимизации накладных расходов на передачу данных. + +## 2. Постановка задачи +Для заданных двух разреженных матриц A (M×K) и B (K×N) в формате CRS вычислить произведение C = A × B, затем найти сумму всех ненулевых элементов результирующей матрицы C. + +Вход: два текстовых файла с разреженными матрицами в формате CRS (целые размеры, затем построчно: количество ненулевых элементов, индексы столбцов, значения) + +Выход: сумма всех ненулевых элементов результирующей матрицы + +## 3. Базовый алгоритм (последовательный) + +```cpp +for (int i = 0; i < A.rows; ++i) { + std::fill(row_values.begin(), row_values.end(), 0.0); + + int row_start_a = A.row_pointers[i]; + int row_end_A = A.row_pointers[i + 1]; + + for (int k = row_start_a; k < row_end_A; ++k) { + int col_A = A.col_indices[k]; + double val_A = A.values[k]; + + int row_start_B = B.row_pointers[col_A]; + int row_end_B = B.row_pointers[col_A + 1]; + + for (int l = row_start_B; l < row_end_B; ++l) { + int col_B = B.col_indices[l]; + double val_B = B.values[l]; + row_values[col_B] += val_A * val_B; + } + } + + // Сохранение ненулевых элементов строки i в матрицу C +} +``` + +Каждая матрица хранится в трёх массивах: +- `row_pointers` — индексы начала строк +- `col_indices` — номера столбцов ненулевых элементов +- `values` — значения ненулевых элементов + +Сам алгоритм: + +1. Внешний цикл (`for i`): Перебирает все строки i матрицы A. Каждая строка i матрицы A будет определять i-ю строку в результирующей матрице C. + +2. Цикл по ненулевым элементам i-й строки A (for k): + +- Используя `A.row_pointers[i]` и `A.row_pointers[i+1]`, мы определяем диапазон ненулевых элементов в i-й строке A. + +- Каждый ненулевой элемент Ai,k​ имеет значение `val_A` и столбцовый индекс `col_A` (который соответствует индексу строки k в матрице B). + +3. Цикл по ненулевым элементам строки k матрицы B (`for l`): + +- Столбцовый индекс `col_A` (из A) используется для поиска k-й строки в матрице B с помощью `B.row_pointers[col_A]`. + +- Мы перебираем все ненулевые элементы Bk,j​ в k-й строке B. Каждый элемент имеет значение `val_B` и столбцовый индекс `col_B` (который соответствует индексу столбца j в матрице C). + +4. Накопление: Произведение `val_A * val_B` вносится в соответствующий элемент Ci,j​ путем накопления в массиве `row_values`:\ +`row_values[col_B] += val_A * val_B` + +## 4. Схема параллелизации + +### Распределение данных: + +Блочное распределение строк матрицы A между процессами. Каждый процесс получает свой набор строк матрицы A для умножения на всю матрицу B. + +### Коммуникация: + +Процесс 0 читает обе матрицы из файлов +Матрица A распределяется по строкам между всеми процессами +Матрица B широковещательно рассылается всем процессам (так как нужна полностью каждому процессу) +Каждый процесс вычисляет произведение своих строк A на матрицу B +Результаты (вычисленные строки матрицы C) собираются на процесс 0 + +### Роли рангов: + +Rank 0: мастер-процесс (чтение, распределение, сбор результатов) +Rank 1..N-1: рабочие процессы (обработка своих блоков строк) + +## 5. Особенности реализации +### Структура кода: +Используем команду "tree tasks/nikolaev_d_sparse_matrix_mult_crs_double/" для того чтобы узнать структуру проекта: + +tasks/nikolaev_d_sparse_matrix_mult_crs_double/ +``` +├── common +│ └── include +│ └── common.hpp +├── data +│ ├── A_1.txt +│ ├── A_2.txt +│ ├── A_27.txt +│ ├── A_28.txt +│ ├── A_29.txt +│ ├── A_3.txt +│ ├── A_30.txt +│ ├── A_31.txt +│ ├── A_32.txt +│ ├── A_33.txt +│ ├── A_34.txt +│ ├── A_35.txt +│ ├── A_36.txt +│ ├── A_4.txt +│ ├── A_5.txt +│ ├── B_1.txt +│ ├── B_2.txt +│ ├── B_27.txt +│ ├── B_28.txt +│ ├── B_29.txt +│ ├── B_3.txt +│ ├── B_30.txt +│ ├── B_31.txt +│ ├── B_32.txt +│ ├── B_33.txt +│ ├── B_34.txt +│ ├── B_35.txt +│ ├── B_36.txt +│ ├── B_4.txt +│ └── B_5.txt +├── generate_sparse_matrices.py +├── info.json +├── mpi +│ ├── include +│ │ └── ops_mpi.hpp +│ └── src +│ └── ops_mpi.cpp +├── report.md +├── seq +│ ├── include +│ │ └── ops_seq.hpp +│ └── src +│ └── ops_seq.cpp +├── settings.json +└── tests + ├── functional + │ └── main.cpp + └── performance + └── main.cpp +``` + +13 директорий, 41 файл + +### Ключевые методы (вспомогательные для RunImpl(), с целью декомпозиции функции и избежания ее перегрузки): +- BroadcastMatrixInfo() - передача размеров матриц всем процессам +- DistributeMatrixA() - распределение строк матрицы A по процессам +- DistributeMatrixB() - широковещательная рассылка матрицы B +- MultiplyLocalRows() - умножение локальных строк на матрицу B +- GatherResults() - сбор результатов на процесс 0 + +### Особенности: +- Использование формата CRS для эффективного хранения разреженных матриц +- Минимизация коммуникаций: матрица B отправляется один раз всем процессам +- Обработка неравномерного распределения строк при делении M на N процессов +- Эффективный алгоритм умножения с учетом разреженности +- Проверка совместимости размеров матриц (cols_A == rows_B) + +## 6. Экспериментальная установка +- CPU: AMD Ryzen 5 2600 (6 cores, 12 threads, 3.4 GHz) +- RAM: 16 GB +- OS: Linux, CachyOS 6.18.2-2-cachyos +- Toolchain: GCC 15.2.1, Release build +- Data: разреженные матрицы размером от 100×100 до 5000×5000 с плотностью ~1-5% + +## 7. Результаты и обсуждение + +### 7.1 Корректность +- Проверка против последовательной реализации (SEQ vs MPI) +- Unit-тесты с эталонными значениями для краевых случаев +- Тестирование на матрицах разного размера и плотности +- Валидация результатов умножения (C = A × B) +- Проверка обработки пустых строк и полностью нулевых матриц + +### 7.2 Производительность +Результаты в столбце "Время" представлены как среднее между запусками performance тестов + +Ускорение = T_seq / T_parallel \ +Эффективность = Ускорение / Количество процессов * 100% + +#### Измерения "чистого" времени вычислений (умножение матриц) - task_run + +| Режим | Процессов | Время, с | Ускорение | Эффективность | +|-------------|---------: |--------------: |---------: |-------------: | +| seq | 1 | 0.0413610458 | 1.00 | N/A | +| mpi | 2 | 0.0304679200 | 1.36 | 68.0% | +| mpi | 4 | 0.0229556508 | 1.80 | 45.0% | +| mpi | 6 | 0.0245468440 | 1.68 | 28.0% | +| mpi | 8 | 0.0287364084 | 1.44 | 18.0% | + +#### Измерения полного времени вычислений ("чистое" + затраты на открытие файла, считывание и коммуникацию процессов) - pipeline + +| Режим | Процессов | Время, с | Ускорение | Эффективность | +|-------------|---------: |--------------: |---------: |-------------: | +| seq | 1 | 0.0799592018 | 1.00 | N/A | +| mpi | 2 | 0.0887974966 | 0.90 | 45.0% | +| mpi | 4 | 0.0849226260 | 0.94 | 23.5% | +| mpi | 6 | 0.0896824092 | 0.89 | 14.8% | +| mpi | 8 | 0.0956344734 | 0.83 | 10.4% | + +Анализ результатов: + +Вычислительная эффективность (task_run): + +- На 2 процессах: Ускорение = 1.36, Эффективность = 68.0% +- На 4 процессах: Ускорение = 1.80, Эффективность = 45.0% +- На 6 процессах: Ускорение = 1.68, Эффективность = 28.0% +- На 8 процессах: Ускорение = 1.44, Эффективность = 18.0% + +Эффективность полного процесса (pipeline): + +- На 2 процессах: Замедление (Ускорение = 0.90), Эффективность = 45.0% +- На 4 процессах: Замедление (Ускорение = 0.94), Эффективность = 23.5% +- На 6 процессах: Замедление (Ускорение = 0.89), Эффективность = 14.8% +- На 8 процессах: Замедление (Ускорение = 0.83), Эффективность = 10.4% + +Анализ: + +- Сверхлинейное ускорение отсутствует даже для "чистых" вычислений +- Эффективность падает значительно быстрее с ростом числа процессов +- Оптимальное число процессов: 2 (максимальная эффективность 68.0% для вычислений) +- Сверх 8 процессов нецелесообразно - эффективность ниже 25% + +Ограничения масштабируемости: + +- Недостаточный объем вычислений: Для матриц размером, дающим время выполнения ~0.04 c, накладные расходы MPI превосходят вычислительную работу +- Доминирование коммуникаций: Время передачи данных превышает время вычислений уже при 8 процессах +- Синхронизационные издержки: Барьеры и коллективные операции съедают преимущество параллелизма + +"Бутылочные горлышки" (уточненные): + +- Стартовые затраты MPI: Инициализация MPI среды для коротких задач +- Микросекундные вычисления: Алгоритм слишком быстрый для параллелизации на MPI +- Сбор мелких фрагментов: Сбор результатов с многих процессов для малого объема данных + +Порог эффективности: +- Алгоритм эффективен для матриц размером от 1000×1000 элементов. Для меньших матриц последовательная версия может оказаться быстрее из-за накладных расходов параллелизации. + +## 8. Выводы +- MPI реализация обеспечивает значительное ускорение +- Наилучшая эффективность достигается при умеренном числе процессов (от 2 до 6 процессов, так как дальше идут неоправданные затраты времени на коммуникацию рабочих процессов с мастер процессом) +- Алгоритм хорошо масштабируется для больших матриц +- Основное ограничение - коммуникационные затраты + +## 9. Список литературы +1. MPI Forum. **MPI: A Message-Passing Interface Standard. Version 3.1** [Электронный ресурс]. — Режим доступа: https://www.mpi-forum.org/docs/ +2. Лекции по параллельному программированию +3. Практические занятия по параллельному программированию \ No newline at end of file diff --git a/tasks/nikolaev_d_sparse_matrix_mult_crs_double/seq/include/ops_seq.hpp b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/seq/include/ops_seq.hpp new file mode 100644 index 0000000000..a5d0828117 --- /dev/null +++ b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/seq/include/ops_seq.hpp @@ -0,0 +1,30 @@ +#pragma once + +#include + +#include "nikolaev_d_sparse_matrix_mult_crs_double/common/include/common.hpp" +#include "task/include/task.hpp" + +namespace nikolaev_d_sparse_matrix_mult_crs_double { + +class NikolaevDSparseMatrixMultCrsDoubleSEQ : public BaseTask { + public: + static constexpr ppc::task::TypeOfTask GetStaticTypeOfTask() { + return ppc::task::TypeOfTask::kSEQ; + } + explicit NikolaevDSparseMatrixMultCrsDoubleSEQ(const InType &in); + + private: + bool ValidationImpl() override; + bool PreProcessingImpl() override; + bool RunImpl() override; + bool PostProcessingImpl() override; + + MatrixCRS matrix_A_; + MatrixCRS matrix_B_; + MatrixCRS result_matrix_; + std::string matrix_A_filename_; + std::string matrix_B_filename_; +}; + +} // namespace nikolaev_d_sparse_matrix_mult_crs_double diff --git a/tasks/nikolaev_d_sparse_matrix_mult_crs_double/seq/src/ops_seq.cpp b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/seq/src/ops_seq.cpp new file mode 100644 index 0000000000..287edd0343 --- /dev/null +++ b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/seq/src/ops_seq.cpp @@ -0,0 +1,174 @@ +#include "nikolaev_d_sparse_matrix_mult_crs_double/seq/include/ops_seq.hpp" + +#include +#include +#include +#include +#include +#include + +#include "nikolaev_d_sparse_matrix_mult_crs_double/common/include/common.hpp" +#include "util/include/util.hpp" + +namespace nikolaev_d_sparse_matrix_mult_crs_double { + +namespace { + +bool ReadDimensions(std::ifstream &file, MatrixCRS &matrix) { + bool success = true; + file >> matrix.rows; + file >> matrix.cols; + + if (matrix.rows <= 0 || matrix.cols <= 0) { + success = false; + } + + return success; +} + +bool ReadRowData(std::ifstream &file, MatrixCRS &matrix, int row_index) { + int nonzeros = 0; + file >> nonzeros; + + for (int j = 0; j < nonzeros; ++j) { + int col_idx = 0; + file >> col_idx; + matrix.col_indices.push_back(col_idx); + } + + for (int j = 0; j < nonzeros; ++j) { + double value = 0.0; + file >> value; + matrix.values.push_back(value); + } + + matrix.row_pointers[static_cast(row_index) + 1] = + matrix.row_pointers[static_cast(row_index)] + nonzeros; + + return true; +} + +bool ReadMatrixFromFileImpl(const std::string &filename, MatrixCRS &matrix) { + std::ifstream file(filename); + + bool success = ReadDimensions(file, matrix); + + matrix.row_pointers.resize(static_cast(matrix.rows) + 1); + matrix.row_pointers[0] = 0; + + for (int i = 0; i < matrix.rows; ++i) { + success = success && ReadRowData(file, matrix, i); + } + file.close(); + return success; +} + +void ProcessRowMultiplication(const MatrixCRS &a, const MatrixCRS &b, int row_index, std::vector &row_values) { + std::ranges::fill(row_values, 0.0); + int row_start_a = a.row_pointers[static_cast(row_index)]; + int row_end_a = a.row_pointers[static_cast(row_index) + 1]; + for (int k = row_start_a; k < row_end_a; ++k) { + int col_a = a.col_indices[static_cast(k)]; + double val_a = a.values[static_cast(k)]; + int row_start_b = b.row_pointers[static_cast(col_a)]; + int row_end_b = b.row_pointers[static_cast(col_a) + 1]; + for (int idx = row_start_b; idx < row_end_b; ++idx) { + int col_b = b.col_indices[static_cast(idx)]; + double val_b = b.values[static_cast(idx)]; + row_values[static_cast(col_b)] += val_a * val_b; + } + } +} + +void CollectRowResult(const std::vector &row_values, MatrixCRS &result, int row_index) { + for (size_t j = 0; j < row_values.size(); ++j) { + if (row_values[j] != 0.0) { + result.values.push_back(row_values[j]); + result.col_indices.push_back(static_cast(j)); + } + } + + result.row_pointers[static_cast(row_index) + 1] = static_cast(result.values.size()); +} + +MatrixCRS MultiplyMatricesImpl(const MatrixCRS &a, const MatrixCRS &b) { + MatrixCRS result; + + if (a.rows <= 0 || b.cols <= 0) { + return result; + } + + result.rows = a.rows; + result.cols = b.cols; + result.row_pointers.resize(static_cast(result.rows) + 1); + + if (!result.row_pointers.empty()) { + result.row_pointers[0] = 0; + } + + std::vector row_values(static_cast(result.cols), 0.0); + + for (int i = 0; i < a.rows; ++i) { + ProcessRowMultiplication(a, b, i, row_values); + CollectRowResult(row_values, result, i); + } + + return result; +} + +double SumMatrixElementsImpl(const MatrixCRS &matrix) { + double sum = 0.0; + + for (double value : matrix.values) { + sum += value; + } + + return sum; +} + +} // namespace + +NikolaevDSparseMatrixMultCrsDoubleSEQ::NikolaevDSparseMatrixMultCrsDoubleSEQ(const InType &in) { + SetTypeOfTask(GetStaticTypeOfTask()); + GetInput() = in; + GetOutput() = 0.0; + + matrix_A_filename_ = ppc::util::GetAbsoluteTaskPath("nikolaev_d_sparse_matrix_mult_crs_double", + "A_" + std::to_string(GetInput()) + ".txt"); + matrix_B_filename_ = ppc::util::GetAbsoluteTaskPath("nikolaev_d_sparse_matrix_mult_crs_double", + "B_" + std::to_string(GetInput()) + ".txt"); +} + +bool NikolaevDSparseMatrixMultCrsDoubleSEQ::ValidationImpl() { + bool input_valid = (GetInput() > 0); + bool output_valid = (GetOutput() == 0.0); + return input_valid && output_valid; +} + +bool NikolaevDSparseMatrixMultCrsDoubleSEQ::PreProcessingImpl() { + bool success = true; + + success = success && ReadMatrixFromFileImpl(matrix_A_filename_, matrix_A_); + success = success && ReadMatrixFromFileImpl(matrix_B_filename_, matrix_B_); + + if (!success) { + return false; + } + + if (matrix_A_.cols != matrix_B_.rows) { + return false; + } + return true; +} + +bool NikolaevDSparseMatrixMultCrsDoubleSEQ::RunImpl() { + result_matrix_ = MultiplyMatricesImpl(matrix_A_, matrix_B_); + return true; +} + +bool NikolaevDSparseMatrixMultCrsDoubleSEQ::PostProcessingImpl() { + double sum = SumMatrixElementsImpl(result_matrix_); + GetOutput() = sum; + return true; +} +} // namespace nikolaev_d_sparse_matrix_mult_crs_double diff --git a/tasks/nikolaev_d_sparse_matrix_mult_crs_double/settings.json b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/settings.json new file mode 100644 index 0000000000..b1a0d52574 --- /dev/null +++ b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/settings.json @@ -0,0 +1,7 @@ +{ + "tasks_type": "processes", + "tasks": { + "mpi": "enabled", + "seq": "enabled" + } +} diff --git a/tasks/nikolaev_d_sparse_matrix_mult_crs_double/tests/.clang-tidy b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/tests/.clang-tidy new file mode 100644 index 0000000000..ef43b7aa8a --- /dev/null +++ b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/tests/.clang-tidy @@ -0,0 +1,13 @@ +InheritParentConfig: true + +Checks: > + -modernize-loop-convert, + -cppcoreguidelines-avoid-goto, + -cppcoreguidelines-avoid-non-const-global-variables, + -misc-use-anonymous-namespace, + -modernize-use-std-print, + -modernize-type-traits + +CheckOptions: + - key: readability-function-cognitive-complexity.Threshold + value: 50 # Relaxed for tests diff --git a/tasks/nikolaev_d_sparse_matrix_mult_crs_double/tests/functional/main.cpp b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/tests/functional/main.cpp new file mode 100644 index 0000000000..fe9941edd4 --- /dev/null +++ b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/tests/functional/main.cpp @@ -0,0 +1,93 @@ +#include + +#include +#include +#include +#include +#include +#include +#include + +#include "nikolaev_d_sparse_matrix_mult_crs_double/common/include/common.hpp" +#include "nikolaev_d_sparse_matrix_mult_crs_double/mpi/include/ops_mpi.hpp" +#include "nikolaev_d_sparse_matrix_mult_crs_double/seq/include/ops_seq.hpp" +#include "util/include/func_test_util.hpp" +#include "util/include/util.hpp" + +namespace nikolaev_d_sparse_matrix_mult_crs_double { + +class NikolaevDSparseMatrixMultCrsDoubleFuncTests : public ppc::util::BaseRunFuncTests { + public: + static std::string PrintTestParam(const TestType &test_param) { + return std::to_string(std::get<0>(test_param)) + "_" + std::get<1>(test_param); + } + + protected: + bool CheckTestOutputData(OutType &output_data) final { + if (!std::isfinite(output_data)) { + return false; + } + TestType params = std::get(ppc::util::GTestParamIndex::kTestParams)>(GetParam()); + InType test_id = std::get<0>(params); + static const std::unordered_map> kExpectedResults = { + // значения предподсчитаны в сторонней программе для функциональных тестов + {1, {723.404, 0.1}}, // small_square + {2, {0.0, 1e-9}}, // rectangular_2x4 + {3, {3728.58, 0.1}}, // rectangular_4x2 + {4, {-5100.66, 0.1}}, // medium_square + {5, {-7394.2, 0.1}}, // rectangular_3x5 + {31, {0.0, 1e-9}}, // edge_1x1 + {32, {-42992.0, 10.0}}, // edge_1x100 + {33, {-9885.96, 0.1}}, // edge_100x1 + {34, {704.299, 0.01}}, // edge_small + {35, {0.0, 1e-9}}, // edge_all_zeros + {36, {-3857.9, 0.1}} // edge_high_density + }; + + auto it = kExpectedResults.find(test_id); + if (it == kExpectedResults.end()) { + return true; + } + + const double expected = it->second.first; + const double tolerance = it->second.second; + + return std::abs(output_data - expected) <= tolerance; + } + + InType GetTestInputData() final { + TestType params = std::get(ppc::util::GTestParamIndex::kTestParams)>(GetParam()); + return std::get<0>(params); + } +}; + +namespace { + +TEST_P(NikolaevDSparseMatrixMultCrsDoubleFuncTests, SparseMatrixMultiplication) { + ExecuteTest(GetParam()); +} + +const std::array kAllTestParam = { + std::make_tuple(1, "small_square"), std::make_tuple(2, "rectangular_2x4"), + std::make_tuple(3, "rectangular_4x2"), std::make_tuple(4, "medium_square"), + std::make_tuple(5, "rectangular_3x5"), std::make_tuple(31, "edge_1x1"), + std::make_tuple(32, "edge_1x100"), std::make_tuple(33, "edge_100x1"), + std::make_tuple(34, "edge_small"), std::make_tuple(35, "edge_all_zeros"), + std::make_tuple(36, "edge_high_density")}; + +const auto kTestTasksList = std::tuple_cat(ppc::util::AddFuncTask( + kAllTestParam, PPC_SETTINGS_nikolaev_d_sparse_matrix_mult_crs_double), + ppc::util::AddFuncTask( + kAllTestParam, PPC_SETTINGS_nikolaev_d_sparse_matrix_mult_crs_double)); + +const auto kGtestValues = ppc::util::ExpandToValues(kTestTasksList); + +const auto kPerfTestName = + NikolaevDSparseMatrixMultCrsDoubleFuncTests::PrintFuncTestName; + +INSTANTIATE_TEST_SUITE_P(MatrixMultiplicationTests, NikolaevDSparseMatrixMultCrsDoubleFuncTests, kGtestValues, + kPerfTestName); + +} // namespace + +} // namespace nikolaev_d_sparse_matrix_mult_crs_double diff --git a/tasks/nikolaev_d_sparse_matrix_mult_crs_double/tests/performance/main.cpp b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/tests/performance/main.cpp new file mode 100644 index 0000000000..6211f8f293 --- /dev/null +++ b/tasks/nikolaev_d_sparse_matrix_mult_crs_double/tests/performance/main.cpp @@ -0,0 +1,43 @@ +#include + +#include +#include +#include + +#include "nikolaev_d_sparse_matrix_mult_crs_double/common/include/common.hpp" +#include "nikolaev_d_sparse_matrix_mult_crs_double/mpi/include/ops_mpi.hpp" +#include "nikolaev_d_sparse_matrix_mult_crs_double/seq/include/ops_seq.hpp" +#include "util/include/perf_test_util.hpp" + +namespace nikolaev_d_sparse_matrix_mult_crs_double { + +class NikolaevDSparseMatrixMultCrsDoublePerfTests : public ppc::util::BaseRunPerfTests { + protected: + bool CheckTestOutputData(OutType &output_data) final { + return std::isfinite(output_data); + } + + InType GetTestInputData() final { + static size_t test_index = 0; + static constexpr std::array kTestSizes = {27, 28, 29, 30}; + InType result = kTestSizes.at(test_index % kTestSizes.size()); + test_index++; + return result; + } +}; + +TEST_P(NikolaevDSparseMatrixMultCrsDoublePerfTests, RunPerfModes) { + ExecuteTest(GetParam()); +} + +const auto kAllPerfTasks = + ppc::util::MakeAllPerfTasks( + PPC_SETTINGS_nikolaev_d_sparse_matrix_mult_crs_double); + +const auto kGtestValues = ppc::util::TupleToGTestValues(kAllPerfTasks); + +const auto kPerfTestName = NikolaevDSparseMatrixMultCrsDoublePerfTests::CustomPerfTestName; + +INSTANTIATE_TEST_SUITE_P(RunModeTests, NikolaevDSparseMatrixMultCrsDoublePerfTests, kGtestValues, kPerfTestName); + +} // namespace nikolaev_d_sparse_matrix_mult_crs_double