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|---|---|---|---|
| 1 | #include "akhmetov_daniil_strassen_dense_double/all/include/ops_all.hpp" | ||
| 2 | |||
| 3 | #include <mpi.h> | ||
| 4 | |||
| 5 | #include <atomic> | ||
| 6 | #include <cstddef> | ||
| 7 | #include <thread> | ||
| 8 | #include <utility> | ||
| 9 | #include <vector> | ||
| 10 | |||
| 11 | #include "akhmetov_daniil_strassen_dense_double/common/include/common.hpp" | ||
| 12 | #include "oneapi/tbb/parallel_for.h" | ||
| 13 | #include "util/include/util.hpp" | ||
| 14 | |||
| 15 | namespace akhmetov_daniil_strassen_dense_double { | ||
| 16 | |||
| 17 |
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6 | AkhmetovDStrassenDenseDoubleALL::AkhmetovDStrassenDenseDoubleALL(const InType &in) { |
| 18 | SetTypeOfTask(GetStaticTypeOfTask()); | ||
| 19 |
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6 | GetInput() = in; |
| 20 | 6 | } | |
| 21 | |||
| 22 |
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6 | bool AkhmetovDStrassenDenseDoubleALL::ValidationImpl() { |
| 23 | const auto &input = GetInput(); | ||
| 24 |
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6 | if (input.empty()) { |
| 25 | return false; | ||
| 26 | } | ||
| 27 | 6 | const size_t n = format::GetN(input); | |
| 28 |
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6 | if (n == 0) { |
| 29 | return false; | ||
| 30 | } | ||
| 31 | 6 | const size_t expected_size = 1 + (2 * n * n); | |
| 32 | 6 | return input.size() == expected_size; | |
| 33 | } | ||
| 34 | |||
| 35 | 6 | bool AkhmetovDStrassenDenseDoubleALL::PreProcessingImpl() { | |
| 36 | const auto &input = GetInput(); | ||
| 37 | 6 | const size_t n = format::GetN(input); | |
| 38 | 6 | GetOutput().assign(n * n, 0.0); | |
| 39 | 6 | return true; | |
| 40 | } | ||
| 41 | |||
| 42 | namespace { | ||
| 43 | |||
| 44 | constexpr size_t kThreshold = 64; | ||
| 45 | [[maybe_unused]] constexpr size_t kParallelThreshold = 256; | ||
| 46 | |||
| 47 | inline size_t NextPow2(size_t n) { | ||
| 48 | size_t p = 1; | ||
| 49 |
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34 | while (p < n) { |
| 50 | 30 | p <<= 1; | |
| 51 | } | ||
| 52 | return p; | ||
| 53 | } | ||
| 54 | |||
| 55 | 114 | Matrix StandardMultiply(const Matrix &a, const Matrix &b, size_t size) { | |
| 56 | 114 | Matrix c(size * size, 0.0); | |
| 57 | 114 | #pragma omp parallel for default(none) shared(a, b, c, size) schedule(static) if (size >= kParallelThreshold) | |
| 58 | for (size_t i = 0; i < size; ++i) { | ||
| 59 | for (size_t k = 0; k < size; ++k) { | ||
| 60 | const double aik = a.at((i * size) + k); | ||
| 61 | const size_t bk = k * size; | ||
| 62 | const size_t ci = i * size; | ||
| 63 | for (size_t j = 0; j < size; ++j) { | ||
| 64 | c.at(ci + j) += aik * b.at(bk + j); | ||
| 65 | } | ||
| 66 | } | ||
| 67 | } | ||
| 68 | 114 | return c; | |
| 69 | } | ||
| 70 | |||
| 71 | 36 | void Split(const Matrix &src, Matrix &a11, Matrix &a12, Matrix &a21, Matrix &a22, size_t size) { | |
| 72 | 36 | const size_t half = size / 2; | |
| 73 | 36 | const size_t block = half * half; | |
| 74 | 36 | a11.assign(block, 0.0); | |
| 75 | 36 | a12.assign(block, 0.0); | |
| 76 | 36 | a21.assign(block, 0.0); | |
| 77 | 36 | a22.assign(block, 0.0); | |
| 78 | |||
| 79 | 36 | #pragma omp parallel for default(none) shared(src, a11, a12, a21, a22, size, half) \ | |
| 80 | schedule(static) if (size >= kParallelThreshold) | ||
| 81 | for (size_t i = 0; i < half; ++i) { | ||
| 82 | const size_t is = i * size; | ||
| 83 | const size_t ih = i * half; | ||
| 84 | const size_t is2 = (i + half) * size; | ||
| 85 | for (size_t j = 0; j < half; ++j) { | ||
| 86 | a11.at(ih + j) = src.at(is + j); | ||
| 87 | a12.at(ih + j) = src.at(is + j + half); | ||
| 88 | a21.at(ih + j) = src.at(is2 + j); | ||
| 89 | a22.at(ih + j) = src.at(is2 + j + half); | ||
| 90 | } | ||
| 91 | } | ||
| 92 | 36 | } | |
| 93 | |||
| 94 | void Merge(Matrix &dst, const Matrix &c11, const Matrix &c12, const Matrix &c21, const Matrix &c22, size_t size) { | ||
| 95 | 18 | const size_t half = size / 2; | |
| 96 | 18 | #pragma omp parallel for default(none) shared(dst, c11, c12, c21, c22, size, half) \ | |
| 97 | schedule(static) if (size >= kParallelThreshold) | ||
| 98 | for (size_t i = 0; i < half; ++i) { | ||
| 99 | const size_t is = i * size; | ||
| 100 | const size_t ih = i * half; | ||
| 101 | const size_t is2 = (i + half) * size; | ||
| 102 | for (size_t j = 0; j < half; ++j) { | ||
| 103 | dst.at(is + j) = c11.at(ih + j); | ||
| 104 | dst.at(is + j + half) = c12.at(ih + j); | ||
| 105 | dst.at(is2 + j) = c21.at(ih + j); | ||
| 106 | dst.at(is2 + j + half) = c22.at(ih + j); | ||
| 107 | } | ||
| 108 | } | ||
| 109 | } | ||
| 110 | |||
| 111 | 108 | inline void AddInto(const Matrix &a, const Matrix &b, Matrix &c) { | |
| 112 | const size_t n = a.size(); | ||
| 113 | 108 | #pragma omp parallel for default(none) shared(a, b, c, n) \ | |
| 114 | schedule(static) if (n >= (kParallelThreshold * kParallelThreshold)) | ||
| 115 | for (size_t i = 0; i < n; ++i) { | ||
| 116 | c.at(i) = a.at(i) + b.at(i); | ||
| 117 | } | ||
| 118 | 108 | } | |
| 119 | |||
| 120 | 72 | inline void SubInto(const Matrix &a, const Matrix &b, Matrix &c) { | |
| 121 | const size_t n = a.size(); | ||
| 122 | 72 | #pragma omp parallel for default(none) shared(a, b, c, n) \ | |
| 123 | schedule(static) if (n >= (kParallelThreshold * kParallelThreshold)) | ||
| 124 | for (size_t i = 0; i < n; ++i) { | ||
| 125 | c.at(i) = a.at(i) - b.at(i); | ||
| 126 | } | ||
| 127 | 72 | } | |
| 128 | |||
| 129 | struct Frame { | ||
| 130 | Matrix a; | ||
| 131 | Matrix b; | ||
| 132 | Matrix result; | ||
| 133 | size_t size; | ||
| 134 | size_t stage{0}; | ||
| 135 | |||
| 136 | Matrix a11; | ||
| 137 | Matrix a12; | ||
| 138 | Matrix a21; | ||
| 139 | Matrix a22; | ||
| 140 | Matrix b11; | ||
| 141 | Matrix b12; | ||
| 142 | Matrix b21; | ||
| 143 | Matrix b22; | ||
| 144 | |||
| 145 | Matrix m1; | ||
| 146 | Matrix m2; | ||
| 147 | Matrix m3; | ||
| 148 | Matrix m4; | ||
| 149 | Matrix m5; | ||
| 150 | Matrix m6; | ||
| 151 | Matrix m7; | ||
| 152 | |||
| 153 | Matrix temp_a; | ||
| 154 | Matrix temp_b; | ||
| 155 | |||
| 156 | 130 | Frame(Matrix aa, Matrix bb, size_t s) : a(std::move(aa)), b(std::move(bb)), size(s) {} | |
| 157 | }; | ||
| 158 | |||
| 159 |
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274 | void ProcessTopFrame(std::vector<Frame> &stack, Matrix &final_result) { |
| 160 |
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274 | if (stack.empty()) { |
| 161 | return; | ||
| 162 | } | ||
| 163 | |||
| 164 |
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274 | const size_t current_index = stack.size() - 1; |
| 165 | Frame &frame = stack.at(current_index); | ||
| 166 | |||
| 167 |
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274 | if (frame.size <= kThreshold) { |
| 168 | 112 | Matrix base = StandardMultiply(frame.a, frame.b, frame.size); | |
| 169 | stack.pop_back(); | ||
| 170 |
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112 | if (stack.empty()) { |
| 171 | final_result = std::move(base); | ||
| 172 | } else { | ||
| 173 | 112 | stack.back().temp_a = std::move(base); | |
| 174 | } | ||
| 175 | return; | ||
| 176 | } | ||
| 177 | |||
| 178 | 162 | const size_t half = frame.size / 2; | |
| 179 | 162 | const size_t block_size = half * half; | |
| 180 | |||
| 181 |
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162 | switch (frame.stage) { |
| 182 | 18 | case 0: { | |
| 183 | 18 | Split(frame.a, frame.a11, frame.a12, frame.a21, frame.a22, frame.size); | |
| 184 | 18 | Split(frame.b, frame.b11, frame.b12, frame.b21, frame.b22, frame.size); | |
| 185 | |||
| 186 | 18 | frame.temp_a.assign(block_size, 0.0); | |
| 187 | 18 | frame.temp_b.assign(block_size, 0.0); | |
| 188 | 18 | frame.m1.assign(block_size, 0.0); | |
| 189 | 18 | frame.m2.assign(block_size, 0.0); | |
| 190 | 18 | frame.m3.assign(block_size, 0.0); | |
| 191 | 18 | frame.m4.assign(block_size, 0.0); | |
| 192 | 18 | frame.m5.assign(block_size, 0.0); | |
| 193 | 18 | frame.m6.assign(block_size, 0.0); | |
| 194 | 18 | frame.m7.assign(block_size, 0.0); | |
| 195 | |||
| 196 | 18 | frame.stage = 1; | |
| 197 | 18 | return; | |
| 198 | } | ||
| 199 | |||
| 200 | 18 | case 1: { | |
| 201 | 18 | AddInto(frame.a11, frame.a22, frame.temp_a); | |
| 202 | 18 | AddInto(frame.b11, frame.b22, frame.temp_b); | |
| 203 | |||
| 204 | 18 | stack.emplace_back(frame.temp_a, frame.temp_b, half); | |
| 205 | 18 | stack.at(current_index).stage = 2; | |
| 206 | 18 | return; | |
| 207 | } | ||
| 208 | |||
| 209 | 18 | case 2: { | |
| 210 | 18 | frame.m1 = frame.temp_a; | |
| 211 | 18 | AddInto(frame.a21, frame.a22, frame.temp_a); | |
| 212 | |||
| 213 | 18 | stack.emplace_back(frame.temp_a, frame.b11, half); | |
| 214 | 18 | stack.at(current_index).stage = 3; | |
| 215 | 18 | return; | |
| 216 | } | ||
| 217 | |||
| 218 | 18 | case 3: { | |
| 219 | 18 | frame.m2 = frame.temp_a; | |
| 220 | 18 | SubInto(frame.b12, frame.b22, frame.temp_b); | |
| 221 | |||
| 222 | 18 | stack.emplace_back(frame.a11, frame.temp_b, half); | |
| 223 | 18 | stack.at(current_index).stage = 4; | |
| 224 | 18 | return; | |
| 225 | } | ||
| 226 | |||
| 227 | 18 | case 4: { | |
| 228 | 18 | frame.m3 = frame.temp_a; | |
| 229 | 18 | SubInto(frame.b21, frame.b11, frame.temp_b); | |
| 230 | |||
| 231 | 18 | stack.emplace_back(frame.a22, frame.temp_b, half); | |
| 232 | 18 | stack.at(current_index).stage = 5; | |
| 233 | 18 | return; | |
| 234 | } | ||
| 235 | |||
| 236 | 18 | case 5: { | |
| 237 | 18 | frame.m4 = frame.temp_a; | |
| 238 | 18 | AddInto(frame.a11, frame.a12, frame.temp_a); | |
| 239 | |||
| 240 | 18 | stack.emplace_back(frame.temp_a, frame.b22, half); | |
| 241 | 18 | stack.at(current_index).stage = 6; | |
| 242 | 18 | return; | |
| 243 | } | ||
| 244 | |||
| 245 | 18 | case 6: { | |
| 246 | 18 | frame.m5 = frame.temp_a; | |
| 247 | 18 | SubInto(frame.a21, frame.a11, frame.temp_a); | |
| 248 | 18 | AddInto(frame.b11, frame.b12, frame.temp_b); | |
| 249 | |||
| 250 | 18 | stack.emplace_back(frame.temp_a, frame.temp_b, half); | |
| 251 | 18 | stack.at(current_index).stage = 7; | |
| 252 | 18 | return; | |
| 253 | } | ||
| 254 | |||
| 255 | 18 | case 7: { | |
| 256 | 18 | frame.m6 = frame.temp_a; | |
| 257 | 18 | SubInto(frame.a12, frame.a22, frame.temp_a); | |
| 258 | 18 | AddInto(frame.b21, frame.b22, frame.temp_b); | |
| 259 | |||
| 260 | 18 | stack.emplace_back(frame.temp_a, frame.temp_b, half); | |
| 261 | 18 | stack.at(current_index).stage = 8; | |
| 262 | 18 | return; | |
| 263 | } | ||
| 264 | |||
| 265 | 18 | case 8: { | |
| 266 | 18 | frame.m7 = frame.temp_a; | |
| 267 | |||
| 268 | 18 | Matrix c11(block_size); | |
| 269 |
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18 | Matrix c12(block_size); |
| 270 |
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18 | Matrix c21(block_size); |
| 271 |
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18 | Matrix c22(block_size); |
| 272 | |||
| 273 | 18 | #pragma omp parallel for default(none) shared(c11, c12, c21, c22, frame, block_size) \ | |
| 274 | schedule(static) if (block_size >= (kParallelThreshold * kParallelThreshold)) | ||
| 275 | for (size_t i = 0; i < block_size; ++i) { | ||
| 276 | c11.at(i) = frame.m1.at(i) + frame.m4.at(i) - frame.m5.at(i) + frame.m7.at(i); | ||
| 277 | c12.at(i) = frame.m3.at(i) + frame.m5.at(i); | ||
| 278 | c21.at(i) = frame.m2.at(i) + frame.m4.at(i); | ||
| 279 | c22.at(i) = frame.m1.at(i) - frame.m2.at(i) + frame.m3.at(i) + frame.m6.at(i); | ||
| 280 | } | ||
| 281 | |||
| 282 |
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18 | Matrix merged(frame.size * frame.size, 0.0); |
| 283 | 18 | Merge(merged, c11, c12, c21, c22, frame.size); | |
| 284 | |||
| 285 | stack.pop_back(); | ||
| 286 |
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18 | if (stack.empty()) { |
| 287 | final_result = std::move(merged); | ||
| 288 | } else { | ||
| 289 | 14 | stack.back().temp_a = std::move(merged); | |
| 290 | } | ||
| 291 | return; | ||
| 292 | } | ||
| 293 | |||
| 294 | default: | ||
| 295 | return; | ||
| 296 | } | ||
| 297 | } | ||
| 298 | |||
| 299 | 4 | Matrix StrassenMultiply(const Matrix &a_init, const Matrix &b_init, size_t size_init) { | |
| 300 | 4 | std::vector<Frame> stack; | |
| 301 |
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4 | stack.emplace_back(a_init, b_init, size_init); |
| 302 | |||
| 303 | 4 | Matrix result; | |
| 304 |
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278 | while (!stack.empty()) { |
| 305 |
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274 | ProcessTopFrame(stack, result); |
| 306 | } | ||
| 307 | 4 | return result; | |
| 308 | 4 | } | |
| 309 | |||
| 310 | 8 | Matrix PadTo(const Matrix &src, size_t n, size_t new_n) { | |
| 311 |
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8 | if (new_n == n) { |
| 312 | 8 | return src; | |
| 313 | } | ||
| 314 | ✗ | Matrix padded(new_n * new_n, 0.0); | |
| 315 | ✗ | #pragma omp parallel for default(none) shared(padded, src, n, new_n) schedule(static) if (new_n >= kParallelThreshold) | |
| 316 | for (size_t i = 0; i < n; ++i) { | ||
| 317 | const size_t is = i * n; | ||
| 318 | const size_t id = i * new_n; | ||
| 319 | for (size_t j = 0; j < n; ++j) { | ||
| 320 | padded.at(id + j) = src.at(is + j); | ||
| 321 | } | ||
| 322 | } | ||
| 323 | return padded; | ||
| 324 | } | ||
| 325 | |||
| 326 | } // namespace | ||
| 327 | |||
| 328 | 6 | bool AkhmetovDStrassenDenseDoubleALL::RunImpl() { | |
| 329 | const auto &input = GetInput(); | ||
| 330 | auto &output = GetOutput(); | ||
| 331 | |||
| 332 | 6 | const size_t n = format::GetN(input); | |
| 333 | 6 | const Matrix a = format::GetA(input); | |
| 334 |
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6 | const Matrix b = format::GetB(input); |
| 335 | |||
| 336 |
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6 | if (n <= kThreshold) { |
| 337 |
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2 | output = StandardMultiply(a, b, n); |
| 338 | 2 | return true; | |
| 339 | } | ||
| 340 | |||
| 341 | const size_t new_n = NextPow2(n); | ||
| 342 |
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4 | const Matrix a_padded = PadTo(a, n, new_n); |
| 343 |
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4 | const Matrix b_padded = PadTo(b, n, new_n); |
| 344 | |||
| 345 |
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4 | const Matrix result_padded = StrassenMultiply(a_padded, b_padded, new_n); |
| 346 | |||
| 347 |
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4 | output.assign(n * n, 0.0); |
| 348 | 4 | #pragma omp parallel for default(none) shared(output, result_padded, n, new_n) \ | |
| 349 | schedule(static) if (n >= kParallelThreshold) | ||
| 350 | for (size_t i = 0; i < n; ++i) { | ||
| 351 | const size_t is = i * new_n; | ||
| 352 | const size_t id = i * n; | ||
| 353 | for (size_t j = 0; j < n; ++j) { | ||
| 354 | output.at(id + j) = result_padded.at(is + j); | ||
| 355 | } | ||
| 356 | } | ||
| 357 | |||
| 358 |
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4 | const int num_threads = ppc::util::GetNumThreads(); |
| 359 | 4 | int rank = 0; | |
| 360 |
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4 | MPI_Comm_rank(MPI_COMM_WORLD, &rank); |
| 361 | |||
| 362 |
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4 | if (rank == 0) { |
| 363 | 2 | std::atomic<int> counter(0); | |
| 364 |
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2 | #pragma omp parallel default(none) shared(counter) num_threads(ppc::util::GetNumThreads()) |
| 365 | counter++; | ||
| 366 | } | ||
| 367 | |||
| 368 | { | ||
| 369 |
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4 | std::vector<std::thread> threads(num_threads); |
| 370 | 4 | std::atomic<int> counter(0); | |
| 371 |
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12 | for (int i = 0; i < num_threads; i++) { |
| 372 |
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8 | threads.at(i) = std::thread([&]() { counter++; }); |
| 373 |
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8 | threads.at(i).join(); |
| 374 | } | ||
| 375 | 4 | } | |
| 376 | |||
| 377 | { | ||
| 378 | 4 | std::atomic<int> counter(0); | |
| 379 |
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12 | tbb::parallel_for(0, num_threads, [&](int /*i*/) { counter++; }); |
| 380 | } | ||
| 381 | |||
| 382 |
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4 | MPI_Barrier(MPI_COMM_WORLD); |
| 383 | return true; | ||
| 384 | } | ||
| 385 | |||
| 386 | 6 | bool AkhmetovDStrassenDenseDoubleALL::PostProcessingImpl() { | |
| 387 | const auto &input = GetInput(); | ||
| 388 | 6 | const size_t n = format::GetN(input); | |
| 389 | 6 | return GetOutput().size() == n * n; | |
| 390 | } | ||
| 391 | |||
| 392 | } // namespace akhmetov_daniil_strassen_dense_double | ||
| 393 |