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|---|---|---|---|
| 1 | #include "muhammadkhon_i_stressen_alg/stl/include/ops_stl.hpp" | ||
| 2 | |||
| 3 | #include <algorithm> | ||
| 4 | #include <cstddef> | ||
| 5 | #include <functional> | ||
| 6 | #include <future> | ||
| 7 | #include <vector> | ||
| 8 | |||
| 9 | #include "muhammadkhon_i_stressen_alg/common/include/common.hpp" | ||
| 10 | #include "util/include/util.hpp" | ||
| 11 | |||
| 12 | namespace muhammadkhon_i_stressen_alg { | ||
| 13 | |||
| 14 | namespace { | ||
| 15 | |||
| 16 | constexpr std::size_t kCutoff = 64; | ||
| 17 | constexpr std::size_t kBlockSize = 64; | ||
| 18 | |||
| 19 | std::size_t NextPow2(std::size_t x) { | ||
| 20 | 48 | if (x <= 1) { | |
| 21 | return 1; | ||
| 22 | } | ||
| 23 | std::size_t p = 1; | ||
| 24 |
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240 | while (p < x) { |
| 25 | 192 | p <<= 1; | |
| 26 | } | ||
| 27 | return p; | ||
| 28 | } | ||
| 29 | |||
| 30 | void ZeroMatrix(double *dst, std::size_t stride, std::size_t n) { | ||
| 31 |
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1392 | for (std::size_t i = 0; i < n; ++i) { |
| 32 | 1344 | std::fill_n(dst + (i * stride), n, 0.0); | |
| 33 | } | ||
| 34 | } | ||
| 35 | |||
| 36 | ✗ | void AddToBuffer(const double *a, std::size_t a_stride, const double *b, std::size_t b_stride, double *dst, | |
| 37 | std::size_t n, double b_coeff) { | ||
| 38 | ✗ | for (std::size_t i = 0; i < n; ++i) { | |
| 39 | ✗ | const double *a_row = a + (i * a_stride); | |
| 40 | ✗ | const double *b_row = b + (i * b_stride); | |
| 41 | ✗ | double *dst_row = dst + (i * n); | |
| 42 | ✗ | for (std::size_t j = 0; j < n; ++j) { | |
| 43 | ✗ | dst_row[j] = a_row[j] + (b_coeff * b_row[j]); | |
| 44 | } | ||
| 45 | } | ||
| 46 | ✗ | } | |
| 47 | |||
| 48 | void MulMicroBlock(const double *a, std::size_t a_stride, const double *b, std::size_t b_stride, double *c, | ||
| 49 | std::size_t c_stride, std::size_t i_begin, std::size_t i_end, std::size_t k_begin, std::size_t k_end, | ||
| 50 | std::size_t j_begin, std::size_t j_end) { | ||
| 51 |
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1392 | for (std::size_t i = i_begin; i < i_end; ++i) { |
| 52 | 1344 | double *c_row = c + (i * c_stride); | |
| 53 | 1344 | const double *a_row = a + (i * a_stride); | |
| 54 |
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71232 | for (std::size_t k = k_begin; k < k_end; ++k) { |
| 55 | 69888 | const double aik = a_row[k]; | |
| 56 | 69888 | const double *b_row = b + (k * b_stride); | |
| 57 |
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4330752 | for (std::size_t j = j_begin; j < j_end; ++j) { |
| 58 | 4260864 | c_row[j] += aik * b_row[j]; | |
| 59 | } | ||
| 60 | } | ||
| 61 | } | ||
| 62 | } | ||
| 63 | |||
| 64 | 48 | void MulKBlocks(const double *a, std::size_t a_stride, const double *b, std::size_t b_stride, double *c, | |
| 65 | std::size_t c_stride, std::size_t n, std::size_t ii, std::size_t i_end) { | ||
| 66 |
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96 | for (std::size_t kk = 0; kk < n; kk += kBlockSize) { |
| 67 | 48 | const std::size_t k_end = std::min(kk + kBlockSize, n); | |
| 68 |
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96 | for (std::size_t jj = 0; jj < n; jj += kBlockSize) { |
| 69 | 48 | const std::size_t j_end = std::min(jj + kBlockSize, n); | |
| 70 | MulMicroBlock(a, a_stride, b, b_stride, c, c_stride, ii, i_end, kk, k_end, jj, j_end); | ||
| 71 | } | ||
| 72 | } | ||
| 73 | 48 | } | |
| 74 | |||
| 75 | 48 | void NaiveMulBlocked(const double *a, std::size_t a_stride, const double *b, std::size_t b_stride, double *c, | |
| 76 | std::size_t c_stride, std::size_t n) { | ||
| 77 | 48 | ZeroMatrix(c, c_stride, n); | |
| 78 |
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96 | for (std::size_t ii = 0; ii < n; ii += kBlockSize) { |
| 79 | 48 | const std::size_t i_end = std::min(ii + kBlockSize, n); | |
| 80 | 48 | MulKBlocks(a, a_stride, b, b_stride, c, c_stride, n, ii, i_end); | |
| 81 | } | ||
| 82 | 48 | } | |
| 83 | |||
| 84 | ✗ | void CombineQuadrants(const std::vector<double> &m1, const std::vector<double> &m2, const std::vector<double> &m3, | |
| 85 | const std::vector<double> &m4, const std::vector<double> &m5, const std::vector<double> &m6, | ||
| 86 | const std::vector<double> &m7, double *c, std::size_t c_stride, std::size_t half) { | ||
| 87 | ✗ | for (std::size_t i = 0; i < half; ++i) { | |
| 88 | ✗ | double *c11 = c + (i * c_stride); | |
| 89 | double *c12 = c11 + half; | ||
| 90 | ✗ | double *c21 = c + ((i + half) * c_stride); | |
| 91 | double *c22 = c21 + half; | ||
| 92 | ✗ | const double *m1r = m1.data() + (i * half); | |
| 93 | const double *m2r = m2.data() + (i * half); | ||
| 94 | const double *m3r = m3.data() + (i * half); | ||
| 95 | const double *m4r = m4.data() + (i * half); | ||
| 96 | const double *m5r = m5.data() + (i * half); | ||
| 97 | const double *m6r = m6.data() + (i * half); | ||
| 98 | const double *m7r = m7.data() + (i * half); | ||
| 99 | ✗ | for (std::size_t j = 0; j < half; ++j) { | |
| 100 | ✗ | c11[j] = m1r[j] + m4r[j] - m5r[j] + m7r[j]; | |
| 101 | ✗ | c12[j] = m3r[j] + m5r[j]; | |
| 102 | ✗ | c21[j] = m2r[j] + m4r[j]; | |
| 103 | ✗ | c22[j] = m1r[j] - m2r[j] + m3r[j] + m6r[j]; | |
| 104 | } | ||
| 105 | } | ||
| 106 | ✗ | } | |
| 107 | |||
| 108 |
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48 | void StrassenSeq(const double *a_in, std::size_t a_stride_in, const double *b_in, std::size_t b_stride_in, double *c_in, |
| 109 | std::size_t c_stride_in, std::size_t n_in) { | ||
| 110 | std::function<void(const double *, std::size_t, const double *, std::size_t, double *, std::size_t, std::size_t)> | ||
| 111 | 48 | impl = [&](const double *a, std::size_t a_stride, const double *b, std::size_t b_stride, double *c, | |
| 112 | std::size_t c_stride, std::size_t n) { | ||
| 113 |
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48 | if (n <= kCutoff) { |
| 114 | 48 | NaiveMulBlocked(a, a_stride, b, b_stride, c, c_stride, n); | |
| 115 | 48 | return; | |
| 116 | } | ||
| 117 | ✗ | const std::size_t half = n / 2; | |
| 118 | |||
| 119 | const double *a11 = a; | ||
| 120 | ✗ | const double *a12 = a + half; | |
| 121 | ✗ | const double *a21 = a + (half * a_stride); | |
| 122 | ✗ | const double *a22 = a21 + half; | |
| 123 | const double *b11 = b; | ||
| 124 | ✗ | const double *b12 = b + half; | |
| 125 | ✗ | const double *b21 = b + (half * b_stride); | |
| 126 | ✗ | const double *b22 = b21 + half; | |
| 127 | |||
| 128 | ✗ | std::vector<double> lhs(half * half); | |
| 129 | ✗ | std::vector<double> rhs(half * half); | |
| 130 | ✗ | std::vector<double> m1(half * half); | |
| 131 | ✗ | std::vector<double> m2(half * half); | |
| 132 | ✗ | std::vector<double> m3(half * half); | |
| 133 | ✗ | std::vector<double> m4(half * half); | |
| 134 | ✗ | std::vector<double> m5(half * half); | |
| 135 | ✗ | std::vector<double> m6(half * half); | |
| 136 | ✗ | std::vector<double> m7(half * half); | |
| 137 | |||
| 138 | ✗ | AddToBuffer(a11, a_stride, a22, a_stride, lhs.data(), half, 1.0); | |
| 139 | ✗ | AddToBuffer(b11, b_stride, b22, b_stride, rhs.data(), half, 1.0); | |
| 140 | ✗ | impl(lhs.data(), half, rhs.data(), half, m1.data(), half, half); | |
| 141 | |||
| 142 | ✗ | AddToBuffer(a21, a_stride, a22, a_stride, lhs.data(), half, 1.0); | |
| 143 | ✗ | impl(lhs.data(), half, b11, b_stride, m2.data(), half, half); | |
| 144 | |||
| 145 | ✗ | AddToBuffer(b12, b_stride, b22, b_stride, rhs.data(), half, -1.0); | |
| 146 | ✗ | impl(a11, a_stride, rhs.data(), half, m3.data(), half, half); | |
| 147 | |||
| 148 | ✗ | AddToBuffer(b21, b_stride, b11, b_stride, rhs.data(), half, -1.0); | |
| 149 | ✗ | impl(a22, a_stride, rhs.data(), half, m4.data(), half, half); | |
| 150 | |||
| 151 | ✗ | AddToBuffer(a11, a_stride, a12, a_stride, lhs.data(), half, 1.0); | |
| 152 | ✗ | impl(lhs.data(), half, b22, b_stride, m5.data(), half, half); | |
| 153 | |||
| 154 | ✗ | AddToBuffer(a21, a_stride, a11, a_stride, lhs.data(), half, -1.0); | |
| 155 | ✗ | AddToBuffer(b11, b_stride, b12, b_stride, rhs.data(), half, 1.0); | |
| 156 | ✗ | impl(lhs.data(), half, rhs.data(), half, m6.data(), half, half); | |
| 157 | |||
| 158 | ✗ | AddToBuffer(a12, a_stride, a22, a_stride, lhs.data(), half, -1.0); | |
| 159 | ✗ | AddToBuffer(b21, b_stride, b22, b_stride, rhs.data(), half, 1.0); | |
| 160 | ✗ | impl(lhs.data(), half, rhs.data(), half, m7.data(), half, half); | |
| 161 | |||
| 162 | ✗ | CombineQuadrants(m1, m2, m3, m4, m5, m6, m7, c, c_stride, half); | |
| 163 | }; | ||
| 164 | |||
| 165 |
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48 | impl(a_in, a_stride_in, b_in, b_stride_in, c_in, c_stride_in, n_in); |
| 166 | 48 | } | |
| 167 | |||
| 168 | 48 | void StrassenTopStl(const double *a, std::size_t a_stride, const double *b, std::size_t b_stride, double *c, | |
| 169 | std::size_t c_stride, std::size_t n) { | ||
| 170 |
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48 | if (n <= kCutoff || ppc::util::GetNumThreads() <= 1) { |
| 171 | 48 | StrassenSeq(a, a_stride, b, b_stride, c, c_stride, n); | |
| 172 | 48 | return; | |
| 173 | } | ||
| 174 | |||
| 175 | ✗ | const std::size_t half = n / 2; | |
| 176 | |||
| 177 | ✗ | const double *a11 = a; | |
| 178 | ✗ | const double *a12 = a + half; | |
| 179 | ✗ | const double *a21 = a + (half * a_stride); | |
| 180 | ✗ | const double *a22 = a21 + half; | |
| 181 | ✗ | const double *b11 = b; | |
| 182 | ✗ | const double *b12 = b + half; | |
| 183 | ✗ | const double *b21 = b + (half * b_stride); | |
| 184 | ✗ | const double *b22 = b21 + half; | |
| 185 | |||
| 186 | ✗ | std::vector<double> m1; | |
| 187 | ✗ | std::vector<double> m2; | |
| 188 | ✗ | std::vector<double> m3; | |
| 189 | ✗ | std::vector<double> m4; | |
| 190 | ✗ | std::vector<double> m5; | |
| 191 | ✗ | std::vector<double> m6; | |
| 192 | ✗ | std::vector<double> m7; | |
| 193 | |||
| 194 | ✗ | auto f1 = std::async(std::launch::async, [&] { | |
| 195 | ✗ | std::vector<double> lhs(half * half); | |
| 196 | ✗ | std::vector<double> rhs(half * half); | |
| 197 | ✗ | AddToBuffer(a11, a_stride, a22, a_stride, lhs.data(), half, 1.0); | |
| 198 | ✗ | AddToBuffer(b11, b_stride, b22, b_stride, rhs.data(), half, 1.0); | |
| 199 | ✗ | m1.assign(half * half, 0.0); | |
| 200 | ✗ | StrassenSeq(lhs.data(), half, rhs.data(), half, m1.data(), half, half); | |
| 201 | ✗ | }); | |
| 202 | ✗ | auto f2 = std::async(std::launch::async, [&] { | |
| 203 | ✗ | std::vector<double> lhs(half * half); | |
| 204 | ✗ | AddToBuffer(a21, a_stride, a22, a_stride, lhs.data(), half, 1.0); | |
| 205 | ✗ | m2.assign(half * half, 0.0); | |
| 206 | ✗ | StrassenSeq(lhs.data(), half, b11, b_stride, m2.data(), half, half); | |
| 207 | ✗ | }); | |
| 208 | ✗ | auto f3 = std::async(std::launch::async, [&] { | |
| 209 | ✗ | std::vector<double> rhs(half * half); | |
| 210 | ✗ | AddToBuffer(b12, b_stride, b22, b_stride, rhs.data(), half, -1.0); | |
| 211 | ✗ | m3.assign(half * half, 0.0); | |
| 212 | ✗ | StrassenSeq(a11, a_stride, rhs.data(), half, m3.data(), half, half); | |
| 213 | ✗ | }); | |
| 214 | ✗ | auto f4 = std::async(std::launch::async, [&] { | |
| 215 | ✗ | std::vector<double> rhs(half * half); | |
| 216 | ✗ | AddToBuffer(b21, b_stride, b11, b_stride, rhs.data(), half, -1.0); | |
| 217 | ✗ | m4.assign(half * half, 0.0); | |
| 218 | ✗ | StrassenSeq(a22, a_stride, rhs.data(), half, m4.data(), half, half); | |
| 219 | ✗ | }); | |
| 220 | ✗ | auto f5 = std::async(std::launch::async, [&] { | |
| 221 | ✗ | std::vector<double> lhs(half * half); | |
| 222 | ✗ | AddToBuffer(a11, a_stride, a12, a_stride, lhs.data(), half, 1.0); | |
| 223 | ✗ | m5.assign(half * half, 0.0); | |
| 224 | ✗ | StrassenSeq(lhs.data(), half, b22, b_stride, m5.data(), half, half); | |
| 225 | ✗ | }); | |
| 226 | ✗ | auto f6 = std::async(std::launch::async, [&] { | |
| 227 | ✗ | std::vector<double> lhs(half * half); | |
| 228 | ✗ | std::vector<double> rhs(half * half); | |
| 229 | ✗ | AddToBuffer(a21, a_stride, a11, a_stride, lhs.data(), half, -1.0); | |
| 230 | ✗ | AddToBuffer(b11, b_stride, b12, b_stride, rhs.data(), half, 1.0); | |
| 231 | ✗ | m6.assign(half * half, 0.0); | |
| 232 | ✗ | StrassenSeq(lhs.data(), half, rhs.data(), half, m6.data(), half, half); | |
| 233 | ✗ | }); | |
| 234 | ✗ | auto f7 = std::async(std::launch::async, [&] { | |
| 235 | ✗ | std::vector<double> lhs(half * half); | |
| 236 | ✗ | std::vector<double> rhs(half * half); | |
| 237 | ✗ | AddToBuffer(a12, a_stride, a22, a_stride, lhs.data(), half, -1.0); | |
| 238 | ✗ | AddToBuffer(b21, b_stride, b22, b_stride, rhs.data(), half, 1.0); | |
| 239 | ✗ | m7.assign(half * half, 0.0); | |
| 240 | ✗ | StrassenSeq(lhs.data(), half, rhs.data(), half, m7.data(), half, half); | |
| 241 | ✗ | }); | |
| 242 | |||
| 243 | ✗ | f1.get(); | |
| 244 | ✗ | f2.get(); | |
| 245 | ✗ | f3.get(); | |
| 246 | ✗ | f4.get(); | |
| 247 | ✗ | f5.get(); | |
| 248 | ✗ | f6.get(); | |
| 249 | ✗ | f7.get(); | |
| 250 | |||
| 251 | ✗ | CombineQuadrants(m1, m2, m3, m4, m5, m6, m7, c, c_stride, half); | |
| 252 | } | ||
| 253 | |||
| 254 | } // namespace | ||
| 255 | |||
| 256 |
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48 | MuhammadkhonIStressenAlgSTL::MuhammadkhonIStressenAlgSTL(const InType &in) { |
| 257 | SetTypeOfTask(GetStaticTypeOfTask()); | ||
| 258 |
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48 | GetInput() = in; |
| 259 | GetOutput() = {}; | ||
| 260 | 48 | } | |
| 261 | |||
| 262 | 48 | bool MuhammadkhonIStressenAlgSTL::ValidationImpl() { | |
| 263 | const auto &in = GetInput(); | ||
| 264 |
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48 | return in.a_rows > 0 && in.a_cols_b_rows > 0 && in.b_cols > 0 && |
| 265 |
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96 | in.a.size() == static_cast<size_t>(in.a_rows * in.a_cols_b_rows) && |
| 266 |
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48 | in.b.size() == static_cast<size_t>(in.a_cols_b_rows * in.b_cols); |
| 267 | } | ||
| 268 | |||
| 269 | 48 | bool MuhammadkhonIStressenAlgSTL::PreProcessingImpl() { | |
| 270 | GetOutput() = {}; | ||
| 271 | const auto &in = GetInput(); | ||
| 272 | 48 | a_rows_ = in.a_rows; | |
| 273 | 48 | a_cols_b_rows_ = in.a_cols_b_rows; | |
| 274 | 48 | b_cols_ = in.b_cols; | |
| 275 | |||
| 276 |
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96 | size_t max_dim = std::max({a_rows_, a_cols_b_rows_, b_cols_}); |
| 277 | 48 | padded_n_ = NextPow2(max_dim); | |
| 278 | |||
| 279 | 48 | padded_a_.assign(padded_n_ * padded_n_, 0.0); | |
| 280 | 48 | padded_b_.assign(padded_n_ * padded_n_, 0.0); | |
| 281 | |||
| 282 |
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1368 | for (size_t i = 0; i < a_rows_; ++i) { |
| 283 |
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68688 | for (size_t j = 0; j < a_cols_b_rows_; ++j) { |
| 284 | 67368 | padded_a_[(i * padded_n_) + j] = in.a[(i * a_cols_b_rows_) + j]; | |
| 285 | } | ||
| 286 | } | ||
| 287 | |||
| 288 |
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1288 | for (size_t i = 0; i < a_cols_b_rows_; ++i) { |
| 289 |
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68608 | for (size_t j = 0; j < b_cols_; ++j) { |
| 290 | 67368 | padded_b_[(i * padded_n_) + j] = in.b[(i * b_cols_) + j]; | |
| 291 | } | ||
| 292 | } | ||
| 293 | |||
| 294 | 48 | return true; | |
| 295 | } | ||
| 296 | |||
| 297 | 48 | bool MuhammadkhonIStressenAlgSTL::RunImpl() { | |
| 298 | 48 | result_c_.assign(padded_n_ * padded_n_, 0.0); | |
| 299 | |||
| 300 | 48 | StrassenTopStl(padded_a_.data(), padded_n_, padded_b_.data(), padded_n_, result_c_.data(), padded_n_, padded_n_); | |
| 301 | |||
| 302 | auto &out = GetOutput(); | ||
| 303 | 48 | out.assign(a_rows_ * b_cols_, 0.0); | |
| 304 |
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1368 | for (size_t i = 0; i < a_rows_; ++i) { |
| 305 |
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69888 | for (size_t j = 0; j < b_cols_; ++j) { |
| 306 | 68568 | out[(i * b_cols_) + j] = result_c_[(i * padded_n_) + j]; | |
| 307 | } | ||
| 308 | } | ||
| 309 | |||
| 310 | 48 | return true; | |
| 311 | } | ||
| 312 | |||
| 313 | 48 | bool MuhammadkhonIStressenAlgSTL::PostProcessingImpl() { | |
| 314 | 48 | return true; | |
| 315 | } | ||
| 316 | |||
| 317 | } // namespace muhammadkhon_i_stressen_alg | ||
| 318 |