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|---|---|---|---|
| 1 | #include "tabalaev_a_matrix_mul_strassen/seq/include/ops_seq.hpp" | ||
| 2 | |||
| 3 | #include <algorithm> | ||
| 4 | #include <cmath> | ||
| 5 | #include <cstddef> | ||
| 6 | #include <stack> | ||
| 7 | #include <utility> | ||
| 8 | #include <vector> | ||
| 9 | |||
| 10 | #include "tabalaev_a_matrix_mul_strassen/common/include/common.hpp" | ||
| 11 | |||
| 12 | namespace tabalaev_a_matrix_mul_strassen { | ||
| 13 | |||
| 14 |
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48 | TabalaevAMatrixMulStrassenSEQ::TabalaevAMatrixMulStrassenSEQ(const InType &in) { |
| 15 | SetTypeOfTask(GetStaticTypeOfTask()); | ||
| 16 |
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48 | GetInput() = in; |
| 17 | GetOutput() = {}; | ||
| 18 | 48 | } | |
| 19 | |||
| 20 | 48 | bool TabalaevAMatrixMulStrassenSEQ::ValidationImpl() { | |
| 21 | const auto &in = GetInput(); | ||
| 22 |
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48 | return in.a_rows > 0 && in.a_cols_b_rows > 0 && in.b_cols > 0 && |
| 23 |
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96 | in.a.size() == static_cast<size_t>(in.a_rows * in.a_cols_b_rows) && |
| 24 |
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48 | in.b.size() == static_cast<size_t>(in.a_cols_b_rows * in.b_cols); |
| 25 | } | ||
| 26 | |||
| 27 | 48 | bool TabalaevAMatrixMulStrassenSEQ::PreProcessingImpl() { | |
| 28 | GetOutput() = {}; | ||
| 29 | const auto &in = GetInput(); | ||
| 30 | 48 | a_rows_ = in.a_rows; | |
| 31 | 48 | a_cols_b_rows_ = in.a_cols_b_rows; | |
| 32 | 48 | b_cols_ = in.b_cols; | |
| 33 | |||
| 34 | 48 | size_t max_dim = std::max({a_rows_, a_cols_b_rows_, b_cols_}); | |
| 35 | 48 | padded_n_ = 1; | |
| 36 |
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272 | while (padded_n_ < max_dim) { |
| 37 | 224 | padded_n_ *= 2; | |
| 38 | } | ||
| 39 | |||
| 40 | 48 | padded_a_.assign(padded_n_ * padded_n_, 0.0); | |
| 41 | 48 | padded_b_.assign(padded_n_ * padded_n_, 0.0); | |
| 42 | |||
| 43 |
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4440 | for (size_t i = 0; i < a_rows_; ++i) { |
| 44 |
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1051728 | for (size_t j = 0; j < a_cols_b_rows_; ++j) { |
| 45 | 1047336 | padded_a_[(i * padded_n_) + j] = in.a[(i * a_cols_b_rows_) + j]; | |
| 46 | } | ||
| 47 | } | ||
| 48 | |||
| 49 |
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4360 | for (size_t i = 0; i < a_cols_b_rows_; ++i) { |
| 50 |
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1051648 | for (size_t j = 0; j < b_cols_; ++j) { |
| 51 | 1047336 | padded_b_[(i * padded_n_) + j] = in.b[(i * b_cols_) + j]; | |
| 52 | } | ||
| 53 | } | ||
| 54 | 48 | return true; | |
| 55 | } | ||
| 56 | |||
| 57 | 48 | bool TabalaevAMatrixMulStrassenSEQ::RunImpl() { | |
| 58 | 96 | result_c_ = StrassenMultiply(padded_a_, padded_b_, padded_n_); | |
| 59 | |||
| 60 | auto &out = GetOutput(); | ||
| 61 | 48 | out.assign(a_rows_ * b_cols_, 0.0); | |
| 62 | |||
| 63 |
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4440 | for (size_t i = 0; i < a_rows_; ++i) { |
| 64 |
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1052928 | for (size_t j = 0; j < b_cols_; ++j) { |
| 65 | 1048536 | out[(i * b_cols_) + j] = result_c_[(i * padded_n_) + j]; | |
| 66 | } | ||
| 67 | } | ||
| 68 | 48 | return true; | |
| 69 | } | ||
| 70 | |||
| 71 | 48 | bool TabalaevAMatrixMulStrassenSEQ::PostProcessingImpl() { | |
| 72 | 48 | return true; | |
| 73 | } | ||
| 74 | |||
| 75 | 5472 | std::vector<double> TabalaevAMatrixMulStrassenSEQ::Add(const std::vector<double> &mat_a, | |
| 76 | const std::vector<double> &mat_b) { | ||
| 77 | 5472 | std::vector<double> res(mat_a.size()); | |
| 78 |
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9147744 | for (size_t i = 0; i < mat_a.size(); ++i) { |
| 79 | 9142272 | res[i] = mat_a[i] + mat_b[i]; | |
| 80 | } | ||
| 81 | 5472 | return res; | |
| 82 | } | ||
| 83 | |||
| 84 | 3648 | std::vector<double> TabalaevAMatrixMulStrassenSEQ::Subtract(const std::vector<double> &mat_a, | |
| 85 | const std::vector<double> &mat_b) { | ||
| 86 | 3648 | std::vector<double> res(mat_a.size()); | |
| 87 |
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6098496 | for (size_t i = 0; i < mat_a.size(); ++i) { |
| 88 | 6094848 | res[i] = mat_a[i] - mat_b[i]; | |
| 89 | } | ||
| 90 | 3648 | return res; | |
| 91 | } | ||
| 92 | |||
| 93 | 5520 | std::vector<double> TabalaevAMatrixMulStrassenSEQ::BaseMultiply(const std::vector<double> &mat_a, | |
| 94 | const std::vector<double> &mat_b, size_t n) { | ||
| 95 | 5520 | std::vector<double> res(n * n, 0.0); | |
| 96 |
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181456 | for (size_t i = 0; i < n; ++i) { |
| 97 |
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5800000 | for (size_t k = 0; k < n; ++k) { |
| 98 |
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185521408 | for (size_t j = 0; j < n; ++j) { |
| 99 | 179897344 | res[(i * n) + j] += mat_a[(i * n) + k] * mat_b[(k * n) + j]; | |
| 100 | } | ||
| 101 | } | ||
| 102 | } | ||
| 103 | 5520 | return res; | |
| 104 | } | ||
| 105 | |||
| 106 | 912 | void TabalaevAMatrixMulStrassenSEQ::PushStrassenSubtasks(std::stack<StrassenFrame> &frames, | |
| 107 | const std::vector<double> &mat_a, | ||
| 108 | const std::vector<double> &mat_b, size_t n) { | ||
| 109 | 912 | size_t h = n / 2; | |
| 110 | 912 | size_t sz = h * h; | |
| 111 | 912 | std::vector<double> a11(sz); | |
| 112 |
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912 | std::vector<double> a12(sz); |
| 113 |
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912 | std::vector<double> a21(sz); |
| 114 |
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912 | std::vector<double> a22(sz); |
| 115 |
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912 | std::vector<double> b11(sz); |
| 116 |
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912 | std::vector<double> b12(sz); |
| 117 |
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912 | std::vector<double> b21(sz); |
| 118 |
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912 | std::vector<double> b22(sz); |
| 119 | |||
| 120 |
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35216 | for (size_t i = 0; i < h; ++i) { |
| 121 |
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1558016 | for (size_t j = 0; j < h; ++j) { |
| 122 | 1523712 | size_t idx_src = (i * n) + j; | |
| 123 | 1523712 | size_t idx_dst = (i * h) + j; | |
| 124 | 1523712 | a11[idx_dst] = mat_a[idx_src]; | |
| 125 | 1523712 | a12[idx_dst] = mat_a[idx_src + h]; | |
| 126 | 1523712 | a21[idx_dst] = mat_a[idx_src + (h * n)]; | |
| 127 | 1523712 | a22[idx_dst] = mat_a[idx_src + (h * n) + h]; | |
| 128 | |||
| 129 | 1523712 | b11[idx_dst] = mat_b[idx_src]; | |
| 130 | 1523712 | b12[idx_dst] = mat_b[idx_src + h]; | |
| 131 | 1523712 | b21[idx_dst] = mat_b[idx_src + (h * n)]; | |
| 132 | 1523712 | b22[idx_dst] = mat_b[idx_src + (h * n) + h]; | |
| 133 | } | ||
| 134 | } | ||
| 135 | |||
| 136 |
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1824 | frames.push({{}, {}, n, 1}); |
| 137 | |||
| 138 | 912 | frames.push({Subtract(a12, a22), Add(b21, b22), h, 0}); | |
| 139 | 912 | frames.push({Subtract(a21, a11), Add(b11, b12), h, 0}); | |
| 140 | 912 | frames.push({Add(a11, a12), b22, h, 0}); | |
| 141 | 912 | frames.push({a22, Subtract(b21, b11), h, 0}); | |
| 142 | 912 | frames.push({a11, Subtract(b12, b22), h, 0}); | |
| 143 | 912 | frames.push({Add(a21, a22), b11, h, 0}); | |
| 144 |
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912 | frames.push({Add(a11, a22), Add(b11, b22), h, 0}); |
| 145 |
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7296 | } |
| 146 | |||
| 147 |
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912 | std::vector<double> TabalaevAMatrixMulStrassenSEQ::CombineStrassenResults(std::stack<std::vector<double>> &results, |
| 148 | size_t n) { | ||
| 149 | auto p7 = std::move(results.top()); | ||
| 150 | results.pop(); | ||
| 151 | auto p6 = std::move(results.top()); | ||
| 152 | results.pop(); | ||
| 153 | auto p5 = std::move(results.top()); | ||
| 154 | results.pop(); | ||
| 155 | auto p4 = std::move(results.top()); | ||
| 156 | results.pop(); | ||
| 157 | auto p3 = std::move(results.top()); | ||
| 158 | results.pop(); | ||
| 159 | auto p2 = std::move(results.top()); | ||
| 160 | results.pop(); | ||
| 161 | auto p1 = std::move(results.top()); | ||
| 162 | results.pop(); | ||
| 163 | |||
| 164 | 912 | size_t h = n / 2; | |
| 165 |
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912 | std::vector<double> res(n * n); |
| 166 |
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35216 | for (size_t i = 0; i < h; ++i) { |
| 167 |
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| 168 | 1523712 | size_t idx = (i * h) + j; | |
| 169 | 1523712 | res[(i * n) + j] = p1[idx] + p4[idx] - p5[idx] + p7[idx]; | |
| 170 | 1523712 | res[(i * n) + j + h] = p3[idx] + p5[idx]; | |
| 171 | 1523712 | res[((i + h) * n) + j] = p2[idx] + p4[idx]; | |
| 172 | 1523712 | res[((i + h) * n) + j + h] = p1[idx] - p2[idx] + p3[idx] + p6[idx]; | |
| 173 | } | ||
| 174 | } | ||
| 175 | 912 | return res; | |
| 176 | } | ||
| 177 | |||
| 178 | 48 | std::vector<double> TabalaevAMatrixMulStrassenSEQ::StrassenMultiply(const std::vector<double> &mat_a, | |
| 179 | const std::vector<double> &mat_b, size_t n) { | ||
| 180 | std::stack<StrassenFrame> frames; | ||
| 181 | std::stack<std::vector<double>> results; | ||
| 182 | |||
| 183 | 48 | frames.push({mat_a, mat_b, n, 0}); | |
| 184 | |||
| 185 |
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7392 | while (!frames.empty()) { |
| 186 | StrassenFrame current = std::move(frames.top()); | ||
| 187 | frames.pop(); | ||
| 188 | |||
| 189 |
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7344 | if (current.stage == 0) { |
| 190 |
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6432 | if (current.n <= 32) { |
| 191 |
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11040 | results.push(BaseMultiply(current.mat_a, current.mat_b, current.n)); |
| 192 | } else { | ||
| 193 |
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912 | PushStrassenSubtasks(frames, current.mat_a, current.mat_b, current.n); |
| 194 | } | ||
| 195 | } else { | ||
| 196 |
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1824 | results.push(CombineStrassenResults(results, current.n)); |
| 197 | } | ||
| 198 | 7344 | } | |
| 199 |
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96 | return results.top(); |
| 200 |
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48 | } |
| 201 | } // namespace tabalaev_a_matrix_mul_strassen | ||
| 202 |