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|---|---|---|---|
| 1 | #include "sannikov_i_shtrassen_algorithm/mpi/include/ops_mpi.hpp" | ||
| 2 | |||
| 3 | #include <mpi.h> | ||
| 4 | |||
| 5 | #include <cstddef> | ||
| 6 | #include <cstdint> | ||
| 7 | #include <limits> | ||
| 8 | #include <tuple> | ||
| 9 | #include <utility> | ||
| 10 | #include <vector> | ||
| 11 | |||
| 12 | #include "sannikov_i_shtrassen_algorithm/common/include/common.hpp" | ||
| 13 | |||
| 14 | namespace sannikov_i_shtrassen_algorithm { | ||
| 15 | |||
| 16 |
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24 | SannikovIShtrassenAlgorithmMPI::SannikovIShtrassenAlgorithmMPI(const InType &in) { |
| 17 | SetTypeOfTask(GetStaticTypeOfTask()); | ||
| 18 | auto &input_buffer = GetInput(); | ||
| 19 | InType tmp(in); | ||
| 20 | input_buffer.swap(tmp); | ||
| 21 | GetOutput().clear(); | ||
| 22 | 24 | } | |
| 23 | |||
| 24 |
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24 | bool SannikovIShtrassenAlgorithmMPI::ValidationImpl() { |
| 25 | const auto &input = GetInput(); | ||
| 26 | const auto &mat_a = std::get<0>(input); | ||
| 27 | const auto &mat_b = std::get<1>(input); | ||
| 28 | |||
| 29 |
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24 | if (mat_a.empty() || mat_b.empty()) { |
| 30 | return false; | ||
| 31 | } | ||
| 32 |
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24 | if (mat_a.size() != mat_b.size()) { |
| 33 | return false; | ||
| 34 | } | ||
| 35 |
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24 | if (mat_a.front().empty() || mat_b.front().empty()) { |
| 36 | return false; | ||
| 37 | } | ||
| 38 | |||
| 39 | const auto n = mat_a.size(); | ||
| 40 |
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106 | for (const auto &row : mat_a) { |
| 41 |
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82 | if (row.size() != n) { |
| 42 | return false; | ||
| 43 | } | ||
| 44 | } | ||
| 45 |
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106 | for (const auto &row : mat_b) { |
| 46 |
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82 | if (row.size() != n) { |
| 47 | return false; | ||
| 48 | } | ||
| 49 | } | ||
| 50 | |||
| 51 | 24 | return GetOutput().empty(); | |
| 52 | } | ||
| 53 | |||
| 54 |
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24 | bool SannikovIShtrassenAlgorithmMPI::PreProcessingImpl() { |
| 55 | GetOutput().clear(); | ||
| 56 | 24 | return true; | |
| 57 | } | ||
| 58 | |||
| 59 | namespace { | ||
| 60 | |||
| 61 | using Flat = std::vector<double>; | ||
| 62 | using Matrix = std::vector<std::vector<double>>; | ||
| 63 | |||
| 64 | constexpr std::size_t kClassicThreshold = 2; | ||
| 65 | |||
| 66 | std::size_t NextPow2(std::size_t value) { | ||
| 67 | std::size_t pow2 = 1; | ||
| 68 |
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64 | while (pow2 < value) { |
| 69 | 40 | pow2 <<= 1U; | |
| 70 | } | ||
| 71 | return pow2; | ||
| 72 | } | ||
| 73 | |||
| 74 | bool SizeOkU64(std::uint64_t n64) { | ||
| 75 | 24 | if (n64 == 0U) { | |
| 76 | return false; | ||
| 77 | } | ||
| 78 |
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24 | if (n64 > static_cast<std::uint64_t>(std::numeric_limits<int>::max())) { |
| 79 | return false; | ||
| 80 | } | ||
| 81 | return true; | ||
| 82 | } | ||
| 83 | |||
| 84 | std::size_t Idx(std::size_t row, std::size_t col, std::size_t ld) { | ||
| 85 | 1428 | return (row * ld) + col; | |
| 86 | } | ||
| 87 | |||
| 88 | 196 | Flat MultiplyClassicFlat(const Flat &a, const Flat &b, std::size_t n) { | |
| 89 | 196 | Flat c(n * n, 0.0); | |
| 90 |
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567 | for (std::size_t row = 0; row < n; ++row) { |
| 91 | double *crow = &c[Idx(row, 0, n)]; | ||
| 92 |
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1092 | for (std::size_t mid = 0; mid < n; ++mid) { |
| 93 | 721 | const double aik = a[Idx(row, mid, n)]; | |
| 94 | const double *brow = &b[Idx(mid, 0, n)]; | ||
| 95 |
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2142 | for (std::size_t col = 0; col < n; ++col) { |
| 96 | 1421 | crow[col] += aik * brow[col]; | |
| 97 | } | ||
| 98 | } | ||
| 99 | } | ||
| 100 | 196 | return c; | |
| 101 | } | ||
| 102 | |||
| 103 | 168 | Flat ExtractBlockFlat(const Flat &src, std::size_t src_n, std::size_t row0, std::size_t col0, std::size_t blk_n) { | |
| 104 | 168 | Flat blk(blk_n * blk_n, 0.0); | |
| 105 |
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504 | for (std::size_t row = 0; row < blk_n; ++row) { |
| 106 |
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1008 | for (std::size_t col = 0; col < blk_n; ++col) { |
| 107 | 672 | blk[Idx(row, col, blk_n)] = src[Idx(row + row0, col + col0, src_n)]; | |
| 108 | } | ||
| 109 | } | ||
| 110 | 168 | return blk; | |
| 111 | } | ||
| 112 | |||
| 113 | void PlaceBlockFlat(const Flat &blk, std::size_t blk_n, Flat *dst, std::size_t dst_n, std::size_t row0, | ||
| 114 | std::size_t col0) { | ||
| 115 |
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252 | for (std::size_t row = 0; row < blk_n; ++row) { |
| 116 |
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504 | for (std::size_t col = 0; col < blk_n; ++col) { |
| 117 | 336 | (*dst)[Idx(row + row0, col + col0, dst_n)] = blk[Idx(row, col, blk_n)]; | |
| 118 | } | ||
| 119 | } | ||
| 120 | } | ||
| 121 | |||
| 122 | 126 | void AddFlat(const Flat &a, const Flat &b, Flat *out) { | |
| 123 | const std::size_t n = a.size(); | ||
| 124 | 126 | out->assign(n, 0.0); | |
| 125 |
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630 | for (std::size_t i = 0; i < n; ++i) { |
| 126 | 504 | (*out)[i] = a[i] + b[i]; | |
| 127 | } | ||
| 128 | 126 | } | |
| 129 | |||
| 130 | 84 | void SubFlat(const Flat &a, const Flat &b, Flat *out) { | |
| 131 | const std::size_t n = a.size(); | ||
| 132 | 84 | out->assign(n, 0.0); | |
| 133 |
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420 | for (std::size_t i = 0; i < n; ++i) { |
| 134 | 336 | (*out)[i] = a[i] - b[i]; | |
| 135 | } | ||
| 136 | 84 | } | |
| 137 | |||
| 138 | struct Frame { | ||
| 139 | Flat a; | ||
| 140 | Flat b; | ||
| 141 | std::size_t n = 0; | ||
| 142 | |||
| 143 | bool has_parent = false; | ||
| 144 | std::size_t parent_idx = 0; | ||
| 145 | int parent_slot = 0; | ||
| 146 | |||
| 147 | int stage = 0; | ||
| 148 | Flat res; | ||
| 149 | |||
| 150 | Flat a11, a12, a21, a22; | ||
| 151 | Flat b11, b12, b21, b22; | ||
| 152 | |||
| 153 | Flat m1, m2, m3, m4, m5, m6, m7; | ||
| 154 | }; | ||
| 155 | |||
| 156 | 147 | void AssignToParent(std::vector<Frame> *stack, const Frame &child) { | |
| 157 |
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147 | if (!child.has_parent) { |
| 158 | return; | ||
| 159 | } | ||
| 160 |
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147 | Frame &parent = (*stack)[child.parent_idx]; |
| 161 | 147 | const int slot = child.parent_slot; | |
| 162 | |||
| 163 |
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147 | if (slot == 1) { |
| 164 | 21 | parent.m1 = child.res; | |
| 165 | } | ||
| 166 |
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147 | if (slot == 2) { |
| 167 | 21 | parent.m2 = child.res; | |
| 168 | } | ||
| 169 |
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147 | if (slot == 3) { |
| 170 | 21 | parent.m3 = child.res; | |
| 171 | } | ||
| 172 |
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147 | if (slot == 4) { |
| 173 | 21 | parent.m4 = child.res; | |
| 174 | } | ||
| 175 |
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147 | if (slot == 5) { |
| 176 | 21 | parent.m5 = child.res; | |
| 177 | } | ||
| 178 |
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147 | if (slot == 6) { |
| 179 | 21 | parent.m6 = child.res; | |
| 180 | } | ||
| 181 |
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147 | if (slot == 7) { |
| 182 | 21 | parent.m7 = child.res; | |
| 183 | } | ||
| 184 | } | ||
| 185 | |||
| 186 | bool IsLeaf(const Frame &frame) { | ||
| 187 | 364 | return frame.n <= kClassicThreshold; | |
| 188 | } | ||
| 189 | |||
| 190 | 168 | void SplitIfNeeded(Frame *frame) { | |
| 191 |
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168 | if (frame->stage != 0) { |
| 192 | return; | ||
| 193 | } | ||
| 194 | |||
| 195 | 21 | const std::size_t half = frame->n / 2; | |
| 196 | |||
| 197 | 21 | frame->a11 = ExtractBlockFlat(frame->a, frame->n, 0, 0, half); | |
| 198 | 21 | frame->a12 = ExtractBlockFlat(frame->a, frame->n, 0, half, half); | |
| 199 | 21 | frame->a21 = ExtractBlockFlat(frame->a, frame->n, half, 0, half); | |
| 200 | 21 | frame->a22 = ExtractBlockFlat(frame->a, frame->n, half, half, half); | |
| 201 | |||
| 202 | 21 | frame->b11 = ExtractBlockFlat(frame->b, frame->n, 0, 0, half); | |
| 203 | 21 | frame->b12 = ExtractBlockFlat(frame->b, frame->n, 0, half, half); | |
| 204 | 21 | frame->b21 = ExtractBlockFlat(frame->b, frame->n, half, 0, half); | |
| 205 | 21 | frame->b22 = ExtractBlockFlat(frame->b, frame->n, half, half, half); | |
| 206 | |||
| 207 | 21 | frame->stage = 1; | |
| 208 | } | ||
| 209 | |||
| 210 |
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147 | void BuildChildOperands(const Frame &parent, int slot, Flat *left, Flat *right) { |
| 211 | if (slot == 1) { | ||
| 212 | 21 | AddFlat(parent.a11, parent.a22, left); | |
| 213 | 21 | AddFlat(parent.b11, parent.b22, right); | |
| 214 | 21 | return; | |
| 215 | } | ||
| 216 | if (slot == 2) { | ||
| 217 | 21 | AddFlat(parent.a21, parent.a22, left); | |
| 218 | 21 | *right = parent.b11; | |
| 219 | 21 | return; | |
| 220 | } | ||
| 221 | if (slot == 3) { | ||
| 222 | 21 | *left = parent.a11; | |
| 223 | 21 | SubFlat(parent.b12, parent.b22, right); | |
| 224 | 21 | return; | |
| 225 | } | ||
| 226 | if (slot == 4) { | ||
| 227 | 21 | *left = parent.a22; | |
| 228 | 21 | SubFlat(parent.b21, parent.b11, right); | |
| 229 | 21 | return; | |
| 230 | } | ||
| 231 | if (slot == 5) { | ||
| 232 | 21 | AddFlat(parent.a11, parent.a12, left); | |
| 233 | 21 | *right = parent.b22; | |
| 234 | 21 | return; | |
| 235 | } | ||
| 236 | if (slot == 6) { | ||
| 237 | 21 | SubFlat(parent.a21, parent.a11, left); | |
| 238 | 21 | AddFlat(parent.b11, parent.b12, right); | |
| 239 | 21 | return; | |
| 240 | } | ||
| 241 | 21 | SubFlat(parent.a12, parent.a22, left); | |
| 242 | 21 | AddFlat(parent.b21, parent.b22, right); | |
| 243 | } | ||
| 244 | |||
| 245 | 147 | Frame MakeChild(const Frame &parent, std::size_t parent_idx, int slot) { | |
| 246 | 147 | Flat left; | |
| 247 | 147 | Flat right; | |
| 248 |
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147 | BuildChildOperands(parent, slot, &left, &right); |
| 249 | |||
| 250 | 147 | Frame child; | |
| 251 | 147 | child.a = std::move(left); | |
| 252 | 147 | child.b = std::move(right); | |
| 253 | 147 | child.n = parent.n / 2; | |
| 254 | |||
| 255 | 147 | child.has_parent = true; | |
| 256 | 147 | child.parent_idx = parent_idx; | |
| 257 | 147 | child.parent_slot = slot; | |
| 258 |
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147 | child.stage = 0; |
| 259 | 147 | return child; | |
| 260 | } | ||
| 261 | |||
| 262 | 21 | void CombineOnFrame(Frame *frame) { | |
| 263 | 21 | const std::size_t half = frame->n / 2; | |
| 264 | 21 | const std::size_t kk = half * half; | |
| 265 | |||
| 266 | 21 | Flat c11(kk, 0.0); | |
| 267 |
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21 | Flat c12(kk, 0.0); |
| 268 |
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21 | Flat c21(kk, 0.0); |
| 269 |
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21 | Flat c22(kk, 0.0); |
| 270 | |||
| 271 |
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105 | for (std::size_t i = 0; i < kk; ++i) { |
| 272 | 84 | c11[i] = frame->m1[i] + frame->m4[i] - frame->m5[i] + frame->m7[i]; | |
| 273 | } | ||
| 274 |
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105 | for (std::size_t i = 0; i < kk; ++i) { |
| 275 | 84 | c12[i] = frame->m3[i] + frame->m5[i]; | |
| 276 | } | ||
| 277 |
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105 | for (std::size_t i = 0; i < kk; ++i) { |
| 278 | 84 | c21[i] = frame->m2[i] + frame->m4[i]; | |
| 279 | } | ||
| 280 |
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105 | for (std::size_t i = 0; i < kk; ++i) { |
| 281 | 84 | c22[i] = frame->m1[i] - frame->m2[i] + frame->m3[i] + frame->m6[i]; | |
| 282 | } | ||
| 283 | |||
| 284 |
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21 | frame->res.assign(frame->n * frame->n, 0.0); |
| 285 | 21 | PlaceBlockFlat(c11, half, &frame->res, frame->n, 0, 0); | |
| 286 | PlaceBlockFlat(c12, half, &frame->res, frame->n, 0, half); | ||
| 287 | PlaceBlockFlat(c21, half, &frame->res, frame->n, half, 0); | ||
| 288 | PlaceBlockFlat(c22, half, &frame->res, frame->n, half, half); | ||
| 289 | 21 | } | |
| 290 | |||
| 291 | 70 | Flat ShtrassenIterativeFlat(const Flat &a0, const Flat &b0, std::size_t n0) { | |
| 292 | 70 | std::vector<Frame> frames; | |
| 293 |
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70 | frames.reserve(64); |
| 294 | |||
| 295 | 70 | Frame root; | |
| 296 |
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70 | root.a = a0; |
| 297 |
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70 | root.b = b0; |
| 298 | 70 | root.n = n0; | |
| 299 | 70 | root.has_parent = false; | |
| 300 |
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70 | root.stage = 0; |
| 301 | frames.push_back(std::move(root)); | ||
| 302 | |||
| 303 |
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364 | while (!frames.empty()) { |
| 304 | Frame &cur = frames.back(); | ||
| 305 | |||
| 306 |
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364 | if (IsLeaf(cur)) { |
| 307 |
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196 | cur.res = MultiplyClassicFlat(cur.a, cur.b, cur.n); |
| 308 | |||
| 309 |
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196 | const Frame finished = cur; |
| 310 | frames.pop_back(); | ||
| 311 | |||
| 312 |
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196 | if (frames.empty()) { |
| 313 |
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49 | return finished.res; |
| 314 | } | ||
| 315 |
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147 | AssignToParent(&frames, finished); |
| 316 | continue; | ||
| 317 | 196 | } | |
| 318 | |||
| 319 |
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168 | SplitIfNeeded(&cur); |
| 320 | |||
| 321 |
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168 | if ((cur.stage >= 1) && (cur.stage <= 7)) { |
| 322 | const int slot = cur.stage; | ||
| 323 | 147 | const std::size_t parent_idx = frames.size() - 1; | |
| 324 | |||
| 325 |
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147 | Frame child = MakeChild(cur, parent_idx, slot); |
| 326 |
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147 | cur.stage += 1; |
| 327 | frames.push_back(std::move(child)); | ||
| 328 | continue; | ||
| 329 | 147 | } | |
| 330 | |||
| 331 |
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21 | if (cur.stage != 8) { |
| 332 | ✗ | cur.stage = 8; | |
| 333 | ✗ | continue; | |
| 334 | } | ||
| 335 | |||
| 336 |
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21 | CombineOnFrame(&cur); |
| 337 | |||
| 338 |
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21 | const Frame finished = cur; |
| 339 | frames.pop_back(); | ||
| 340 | |||
| 341 |
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21 | if (frames.empty()) { |
| 342 |
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21 | return finished.res; |
| 343 | } | ||
| 344 | ✗ | AssignToParent(&frames, finished); | |
| 345 | 21 | } | |
| 346 | |||
| 347 | ✗ | return Flat{}; | |
| 348 | 70 | } | |
| 349 | 70 | void MulStrassenOrClassic(const Flat &left, const Flat &right, int k, Flat *out) { | |
| 350 | 70 | const auto kk = static_cast<std::size_t>(k); | |
| 351 | 70 | *out = ShtrassenIterativeFlat(left, right, kk); | |
| 352 | 70 | } | |
| 353 | |||
| 354 | 20 | void PadToFlatOnRoot(const Matrix &src, int n0, int m, Flat *flat) { | |
| 355 | 20 | flat->assign(static_cast<std::size_t>(m) * static_cast<std::size_t>(m), 0.0); | |
| 356 | const auto mm = static_cast<std::size_t>(m); | ||
| 357 |
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98 | for (int row = 0; row < n0; ++row) { |
| 358 |
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452 | for (int col = 0; col < n0; ++col) { |
| 359 | 374 | const auto rr = static_cast<std::size_t>(row); | |
| 360 | 374 | const auto cc = static_cast<std::size_t>(col); | |
| 361 | 374 | (*flat)[Idx(rr, cc, mm)] = src[rr][cc]; | |
| 362 | } | ||
| 363 | } | ||
| 364 | 20 | } | |
| 365 | |||
| 366 | 160 | void ExtractBlock(const Flat &src, int m, int block_row, int block_col, int k, Flat *block) { | |
| 367 | 160 | block->assign(static_cast<std::size_t>(k) * static_cast<std::size_t>(k), 0.0); | |
| 368 | |||
| 369 | 160 | const auto mm = static_cast<std::size_t>(m); | |
| 370 | const auto kk = static_cast<std::size_t>(k); | ||
| 371 | 160 | const auto ro = static_cast<std::size_t>(block_row) * static_cast<std::size_t>(k); | |
| 372 | 160 | const auto co = static_cast<std::size_t>(block_col) * static_cast<std::size_t>(k); | |
| 373 | |||
| 374 |
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528 | for (int row = 0; row < k; ++row) { |
| 375 |
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1440 | for (int col = 0; col < k; ++col) { |
| 376 | 1072 | const auto rr = ro + static_cast<std::size_t>(row); | |
| 377 | 1072 | const auto cc = co + static_cast<std::size_t>(col); | |
| 378 | 1072 | (*block)[Idx(static_cast<std::size_t>(row), static_cast<std::size_t>(col), kk)] = src[Idx(rr, cc, mm)]; | |
| 379 | } | ||
| 380 | } | ||
| 381 | 160 | } | |
| 382 | |||
| 383 | 60 | void AddVec(const Flat &a, const Flat &b, Flat *out) { | |
| 384 | const auto n = a.size(); | ||
| 385 | 60 | out->assign(n, 0.0); | |
| 386 |
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462 | for (std::size_t ii = 0; ii < n; ++ii) { |
| 387 | 402 | (*out)[ii] = a[ii] + b[ii]; | |
| 388 | } | ||
| 389 | 60 | } | |
| 390 | |||
| 391 | 40 | void SubVec(const Flat &a, const Flat &b, Flat *out) { | |
| 392 | const auto n = a.size(); | ||
| 393 | 40 | out->assign(n, 0.0); | |
| 394 |
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308 | for (std::size_t ii = 0; ii < n; ++ii) { |
| 395 | 268 | (*out)[ii] = a[ii] - b[ii]; | |
| 396 | } | ||
| 397 | 40 | } | |
| 398 | |||
| 399 | int OwnerForTask(int task_id, int comm_size) { | ||
| 400 |
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140 | if (comm_size <= 0) { |
| 401 | return 0; | ||
| 402 | } | ||
| 403 | 140 | return (task_id - 1) % comm_size; | |
| 404 | } | ||
| 405 | |||
| 406 | 70 | void ComputeOneStrassenTask(int task_id, const Flat &a11, const Flat &a12, const Flat &a21, const Flat &a22, | |
| 407 | const Flat &b11, const Flat &b12, const Flat &b21, const Flat &b22, int k, Flat *out_m) { | ||
| 408 | 70 | Flat tmp1; | |
| 409 |
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70 | Flat tmp2; |
| 410 | |||
| 411 | if (task_id == 1) { | ||
| 412 |
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10 | AddVec(a11, a22, &tmp1); |
| 413 |
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10 | AddVec(b11, b22, &tmp2); |
| 414 |
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10 | MulStrassenOrClassic(tmp1, tmp2, k, out_m); |
| 415 | return; | ||
| 416 | } | ||
| 417 | if (task_id == 2) { | ||
| 418 |
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10 | AddVec(a21, a22, &tmp1); |
| 419 |
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10 | MulStrassenOrClassic(tmp1, b11, k, out_m); |
| 420 | return; | ||
| 421 | } | ||
| 422 | if (task_id == 3) { | ||
| 423 |
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10 | SubVec(b12, b22, &tmp2); |
| 424 |
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10 | MulStrassenOrClassic(a11, tmp2, k, out_m); |
| 425 | return; | ||
| 426 | } | ||
| 427 | if (task_id == 4) { | ||
| 428 |
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10 | SubVec(b21, b11, &tmp2); |
| 429 |
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10 | MulStrassenOrClassic(a22, tmp2, k, out_m); |
| 430 | return; | ||
| 431 | } | ||
| 432 | if (task_id == 5) { | ||
| 433 |
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10 | AddVec(a11, a12, &tmp1); |
| 434 |
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10 | MulStrassenOrClassic(tmp1, b22, k, out_m); |
| 435 | return; | ||
| 436 | } | ||
| 437 | if (task_id == 6) { | ||
| 438 |
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10 | SubVec(a21, a11, &tmp1); |
| 439 |
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10 | AddVec(b11, b12, &tmp2); |
| 440 |
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10 | MulStrassenOrClassic(tmp1, tmp2, k, out_m); |
| 441 | return; | ||
| 442 | } | ||
| 443 | |||
| 444 |
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10 | SubVec(a12, a22, &tmp1); |
| 445 |
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10 | AddVec(b21, b22, &tmp2); |
| 446 |
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10 | MulStrassenOrClassic(tmp1, tmp2, k, out_m); |
| 447 | } | ||
| 448 | |||
| 449 | 10 | void AssembleCOnRoot(const Flat &m1, const Flat &m2, const Flat &m3, const Flat &m4, const Flat &m5, const Flat &m6, | |
| 450 | const Flat &m7, int m, int k, Flat *c_full) { | ||
| 451 | 10 | c_full->assign(static_cast<std::size_t>(m) * static_cast<std::size_t>(m), 0.0); | |
| 452 | const auto mm = static_cast<std::size_t>(m); | ||
| 453 | 10 | const auto kk = static_cast<std::size_t>(k); | |
| 454 | |||
| 455 |
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33 | for (int row = 0; row < k; ++row) { |
| 456 | 23 | const auto rr = static_cast<std::size_t>(row); | |
| 457 |
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90 | for (int col = 0; col < k; ++col) { |
| 458 | 67 | const auto cc = static_cast<std::size_t>(col); | |
| 459 | const auto id = Idx(rr, cc, kk); | ||
| 460 | 67 | const double c11 = m1[id] + m4[id] - m5[id] + m7[id]; | |
| 461 | 67 | const double c12 = m3[id] + m5[id]; | |
| 462 | 67 | const double c21 = m2[id] + m4[id]; | |
| 463 | 67 | const double c22 = m1[id] - m2[id] + m3[id] + m6[id]; | |
| 464 | 67 | (*c_full)[Idx(rr, cc, mm)] = c11; | |
| 465 | 67 | (*c_full)[Idx(rr, cc + kk, mm)] = c12; | |
| 466 | 67 | (*c_full)[Idx(rr + kk, cc, mm)] = c21; | |
| 467 | 67 | (*c_full)[Idx(rr + kk, cc + kk, mm)] = c22; | |
| 468 | } | ||
| 469 | } | ||
| 470 | 10 | } | |
| 471 | |||
| 472 | 4 | bool FastPath1x1(int rank, const Matrix &a, const Matrix &b, Matrix *out) { | |
| 473 | 4 | double value = 0.0; | |
| 474 |
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4 | if (rank == 0) { |
| 475 | 2 | value = a[0][0] * b[0][0]; | |
| 476 | } | ||
| 477 | 4 | MPI_Bcast(&value, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD); | |
| 478 |
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4 | *out = Matrix(1, std::vector<double>(1, value)); |
| 479 | 4 | return true; | |
| 480 | } | ||
| 481 | |||
| 482 | 20 | void BroadcastFullPads(int rank, int m, const Matrix &a_in, const Matrix &b_in, int n0, Flat *a_full, Flat *b_full) { | |
| 483 | 20 | const auto total = static_cast<std::size_t>(m) * static_cast<std::size_t>(m); | |
| 484 |
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20 | if (rank == 0) { |
| 485 | 10 | PadToFlatOnRoot(a_in, n0, m, a_full); | |
| 486 | 10 | PadToFlatOnRoot(b_in, n0, m, b_full); | |
| 487 | } else { | ||
| 488 | 10 | a_full->assign(total, 0.0); | |
| 489 | 10 | b_full->assign(total, 0.0); | |
| 490 | } | ||
| 491 | |||
| 492 | 20 | MPI_Bcast(a_full->data(), static_cast<int>(a_full->size()), MPI_DOUBLE, 0, MPI_COMM_WORLD); | |
| 493 | 20 | MPI_Bcast(b_full->data(), static_cast<int>(b_full->size()), MPI_DOUBLE, 0, MPI_COMM_WORLD); | |
| 494 | 20 | } | |
| 495 | |||
| 496 | 20 | void SplitBlocks(const Flat &a_full, const Flat &b_full, int m, int k, Flat *a11, Flat *a12, Flat *a21, Flat *a22, | |
| 497 | Flat *b11, Flat *b12, Flat *b21, Flat *b22) { | ||
| 498 | 20 | ExtractBlock(a_full, m, 0, 0, k, a11); | |
| 499 | 20 | ExtractBlock(a_full, m, 0, 1, k, a12); | |
| 500 | 20 | ExtractBlock(a_full, m, 1, 0, k, a21); | |
| 501 | 20 | ExtractBlock(a_full, m, 1, 1, k, a22); | |
| 502 | |||
| 503 | 20 | ExtractBlock(b_full, m, 0, 0, k, b11); | |
| 504 | 20 | ExtractBlock(b_full, m, 0, 1, k, b12); | |
| 505 | 20 | ExtractBlock(b_full, m, 1, 0, k, b21); | |
| 506 | 20 | ExtractBlock(b_full, m, 1, 1, k, b22); | |
| 507 | 20 | } | |
| 508 | |||
| 509 | 20 | void ComputeLocalMi(int rank, int comm_size, int k, const Flat &a11, const Flat &a12, const Flat &a21, const Flat &a22, | |
| 510 | const Flat &b11, const Flat &b12, const Flat &b21, const Flat &b22, Flat *m1_loc, Flat *m2_loc, | ||
| 511 | Flat *m3_loc, Flat *m4_loc, Flat *m5_loc, Flat *m6_loc, Flat *m7_loc) { | ||
| 512 |
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160 | for (int task_id = 1; task_id <= 7; ++task_id) { |
| 513 | const int owner = OwnerForTask(task_id, comm_size); | ||
| 514 |
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140 | if (rank != owner) { |
| 515 | 70 | continue; | |
| 516 | } | ||
| 517 | |||
| 518 | 70 | Flat tmp_out; | |
| 519 |
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70 | ComputeOneStrassenTask(task_id, a11, a12, a21, a22, b11, b12, b21, b22, k, &tmp_out); |
| 520 | |||
| 521 | if (task_id == 1) { | ||
| 522 | m1_loc->swap(tmp_out); | ||
| 523 | } else if (task_id == 2) { | ||
| 524 | m2_loc->swap(tmp_out); | ||
| 525 | } else if (task_id == 3) { | ||
| 526 | m3_loc->swap(tmp_out); | ||
| 527 | } else if (task_id == 4) { | ||
| 528 | m4_loc->swap(tmp_out); | ||
| 529 | } else if (task_id == 5) { | ||
| 530 | m5_loc->swap(tmp_out); | ||
| 531 | } else if (task_id == 6) { | ||
| 532 | m6_loc->swap(tmp_out); | ||
| 533 | } else { | ||
| 534 | m7_loc->swap(tmp_out); | ||
| 535 | } | ||
| 536 | } | ||
| 537 | 20 | } | |
| 538 | |||
| 539 | 20 | void ReduceMiToRoot(std::size_t kk, const Flat &m1_loc, const Flat &m2_loc, const Flat &m3_loc, const Flat &m4_loc, | |
| 540 | const Flat &m5_loc, const Flat &m6_loc, const Flat &m7_loc, Flat *m1, Flat *m2, Flat *m3, Flat *m4, | ||
| 541 | Flat *m5, Flat *m6, Flat *m7) { | ||
| 542 | 20 | MPI_Reduce(m1_loc.data(), m1->data(), static_cast<int>(kk), MPI_DOUBLE, MPI_SUM, 0, MPI_COMM_WORLD); | |
| 543 | 20 | MPI_Reduce(m2_loc.data(), m2->data(), static_cast<int>(kk), MPI_DOUBLE, MPI_SUM, 0, MPI_COMM_WORLD); | |
| 544 | 20 | MPI_Reduce(m3_loc.data(), m3->data(), static_cast<int>(kk), MPI_DOUBLE, MPI_SUM, 0, MPI_COMM_WORLD); | |
| 545 | 20 | MPI_Reduce(m4_loc.data(), m4->data(), static_cast<int>(kk), MPI_DOUBLE, MPI_SUM, 0, MPI_COMM_WORLD); | |
| 546 | 20 | MPI_Reduce(m5_loc.data(), m5->data(), static_cast<int>(kk), MPI_DOUBLE, MPI_SUM, 0, MPI_COMM_WORLD); | |
| 547 | 20 | MPI_Reduce(m6_loc.data(), m6->data(), static_cast<int>(kk), MPI_DOUBLE, MPI_SUM, 0, MPI_COMM_WORLD); | |
| 548 | 20 | MPI_Reduce(m7_loc.data(), m7->data(), static_cast<int>(kk), MPI_DOUBLE, MPI_SUM, 0, MPI_COMM_WORLD); | |
| 549 | 20 | } | |
| 550 | |||
| 551 | 20 | void RootCropToFlat(int rank, int m, int n0, const Flat &c_full, Flat *c_crop_flat) { | |
| 552 | 20 | const auto total = static_cast<std::size_t>(n0) * static_cast<std::size_t>(n0); | |
| 553 |
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20 | if (rank != 0) { |
| 554 | 10 | c_crop_flat->assign(total, 0.0); | |
| 555 | 10 | return; | |
| 556 | } | ||
| 557 | |||
| 558 | 10 | c_crop_flat->assign(total, 0.0); | |
| 559 | |||
| 560 | 10 | const auto mm = static_cast<std::size_t>(m); | |
| 561 | const auto nn = static_cast<std::size_t>(n0); | ||
| 562 | |||
| 563 |
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49 | for (int row = 0; row < n0; ++row) { |
| 564 |
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226 | for (int col = 0; col < n0; ++col) { |
| 565 | 187 | const auto rr = static_cast<std::size_t>(row); | |
| 566 | 187 | const auto cc = static_cast<std::size_t>(col); | |
| 567 | 187 | (*c_crop_flat)[Idx(rr, cc, nn)] = c_full[Idx(rr, cc, mm)]; | |
| 568 | } | ||
| 569 | } | ||
| 570 | } | ||
| 571 | |||
| 572 | 20 | Matrix FlatToMatrix(int n0, const Flat &flat) { | |
| 573 |
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20 | Matrix out(static_cast<std::size_t>(n0), std::vector<double>(static_cast<std::size_t>(n0), 0.0)); |
| 574 | const auto nn = static_cast<std::size_t>(n0); | ||
| 575 |
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98 | for (int row = 0; row < n0; ++row) { |
| 576 |
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452 | for (int col = 0; col < n0; ++col) { |
| 577 | 374 | const auto rr = static_cast<std::size_t>(row); | |
| 578 | 374 | const auto cc = static_cast<std::size_t>(col); | |
| 579 | 374 | out[rr][cc] = flat[Idx(rr, cc, nn)]; | |
| 580 | } | ||
| 581 | } | ||
| 582 | 20 | return out; | |
| 583 | } | ||
| 584 | |||
| 585 | } // namespace | ||
| 586 | |||
| 587 | 24 | bool SannikovIShtrassenAlgorithmMPI::RunImpl() { | |
| 588 | const auto &input = GetInput(); | ||
| 589 | const auto &mat_a = std::get<0>(input); | ||
| 590 | const auto &mat_b = std::get<1>(input); | ||
| 591 | |||
| 592 | 24 | int rank = 0; | |
| 593 | 24 | int comm_size = 1; | |
| 594 | 24 | MPI_Comm_rank(MPI_COMM_WORLD, &rank); | |
| 595 | 24 | MPI_Comm_size(MPI_COMM_WORLD, &comm_size); | |
| 596 | |||
| 597 | 24 | std::uint64_t n0_64 = 0U; | |
| 598 |
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24 | if (rank == 0) { |
| 599 | 12 | n0_64 = static_cast<std::uint64_t>(mat_a.size()); | |
| 600 | } | ||
| 601 | 24 | MPI_Bcast(&n0_64, 1, MPI_UINT64_T, 0, MPI_COMM_WORLD); | |
| 602 | |||
| 603 |
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24 | if (!SizeOkU64(n0_64)) { |
| 604 | return false; | ||
| 605 | } | ||
| 606 | |||
| 607 | 24 | const int n0 = static_cast<int>(n0_64); | |
| 608 | |||
| 609 | 24 | const auto m_sz = NextPow2(static_cast<std::size_t>(n0)); | |
| 610 |
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24 | if (m_sz > static_cast<std::size_t>(std::numeric_limits<int>::max())) { |
| 611 | return false; | ||
| 612 | } | ||
| 613 | 24 | const int m = static_cast<int>(m_sz); | |
| 614 | |||
| 615 |
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24 | if (m == 1) { |
| 616 | 4 | Matrix out; | |
| 617 |
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4 | (void)FastPath1x1(rank, mat_a, mat_b, &out); |
| 618 |
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4 | GetOutput() = out; |
| 619 | return true; | ||
| 620 | 4 | } | |
| 621 | |||
| 622 | 20 | Flat a_full; | |
| 623 | 20 | Flat b_full; | |
| 624 |
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20 | BroadcastFullPads(rank, m, mat_a, mat_b, n0, &a_full, &b_full); |
| 625 | |||
| 626 | 20 | const int k = m / 2; | |
| 627 | |||
| 628 | 20 | Flat a11; | |
| 629 | 20 | Flat a12; | |
| 630 | 20 | Flat a21; | |
| 631 | 20 | Flat a22; | |
| 632 | 20 | Flat b11; | |
| 633 | 20 | Flat b12; | |
| 634 | 20 | Flat b21; | |
| 635 | 20 | Flat b22; | |
| 636 |
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20 | SplitBlocks(a_full, b_full, m, k, &a11, &a12, &a21, &a22, &b11, &b12, &b21, &b22); |
| 637 | |||
| 638 | 20 | const auto kk = static_cast<std::size_t>(k) * static_cast<std::size_t>(k); | |
| 639 | |||
| 640 |
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20 | Flat m1_loc(kk, 0.0); |
| 641 |
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20 | Flat m2_loc(kk, 0.0); |
| 642 |
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20 | Flat m3_loc(kk, 0.0); |
| 643 |
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20 | Flat m4_loc(kk, 0.0); |
| 644 |
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20 | Flat m5_loc(kk, 0.0); |
| 645 |
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20 | Flat m6_loc(kk, 0.0); |
| 646 |
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20 | Flat m7_loc(kk, 0.0); |
| 647 | |||
| 648 |
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20 | ComputeLocalMi(rank, comm_size, k, a11, a12, a21, a22, b11, b12, b21, b22, &m1_loc, &m2_loc, &m3_loc, &m4_loc, |
| 649 | &m5_loc, &m6_loc, &m7_loc); | ||
| 650 | |||
| 651 |
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20 | Flat m1(kk, 0.0); |
| 652 |
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20 | Flat m2(kk, 0.0); |
| 653 |
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20 | Flat m3(kk, 0.0); |
| 654 |
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20 | Flat m4(kk, 0.0); |
| 655 |
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20 | Flat m5(kk, 0.0); |
| 656 |
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20 | Flat m6(kk, 0.0); |
| 657 |
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20 | Flat m7(kk, 0.0); |
| 658 | |||
| 659 |
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20 | ReduceMiToRoot(kk, m1_loc, m2_loc, m3_loc, m4_loc, m5_loc, m6_loc, m7_loc, &m1, &m2, &m3, &m4, &m5, &m6, &m7); |
| 660 | |||
| 661 | 20 | Flat c_full; | |
| 662 |
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20 | if (rank == 0) { |
| 663 |
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10 | AssembleCOnRoot(m1, m2, m3, m4, m5, m6, m7, m, k, &c_full); |
| 664 | } | ||
| 665 | |||
| 666 | 20 | Flat c_crop_flat; | |
| 667 |
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20 | RootCropToFlat(rank, m, n0, c_full, &c_crop_flat); |
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20 | MPI_Bcast(c_crop_flat.data(), static_cast<int>(c_crop_flat.size()), MPI_DOUBLE, 0, MPI_COMM_WORLD); |
| 669 | |||
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20 | GetOutput() = FlatToMatrix(n0, c_crop_flat); |
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20 | return !GetOutput().empty(); |
| 672 | } | ||
| 673 | |||
| 674 | 24 | bool SannikovIShtrassenAlgorithmMPI::PostProcessingImpl() { | |
| 675 | 24 | return !GetOutput().empty(); | |
| 676 | } | ||
| 677 | |||
| 678 | } // namespace sannikov_i_shtrassen_algorithm | ||
| 679 |