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| 1 | #include "morozova_s_strassen_multiplication/seq/include/ops_seq.hpp" | ||
| 2 | |||
| 3 | #include <cmath> | ||
| 4 | #include <cstddef> | ||
| 5 | #include <vector> | ||
| 6 | |||
| 7 | #include "morozova_s_strassen_multiplication/common/include/common.hpp" | ||
| 8 | |||
| 9 | namespace morozova_s_strassen_multiplication { | ||
| 10 | |||
| 11 | namespace { | ||
| 12 | |||
| 13 | 88 | Matrix AddMatrixImpl(const Matrix &a, const Matrix &b) { | |
| 14 | 88 | int n = a.size; | |
| 15 | Matrix result(n); | ||
| 16 | |||
| 17 |
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5720 | for (int i = 0; i < n; ++i) { |
| 18 |
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366080 | for (int j = 0; j < n; ++j) { |
| 19 | 360448 | result(i, j) = a(i, j) + b(i, j); | |
| 20 | } | ||
| 21 | } | ||
| 22 | |||
| 23 | 88 | return result; | |
| 24 | } | ||
| 25 | |||
| 26 | 56 | Matrix SubtractMatrixImpl(const Matrix &a, const Matrix &b) { | |
| 27 | 56 | int n = a.size; | |
| 28 | Matrix result(n); | ||
| 29 | |||
| 30 |
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| 31 |
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232960 | for (int j = 0; j < n; ++j) { |
| 32 | 229376 | result(i, j) = a(i, j) - b(i, j); | |
| 33 | } | ||
| 34 | } | ||
| 35 | |||
| 36 | 56 | return result; | |
| 37 | } | ||
| 38 | |||
| 39 | 120 | Matrix MultiplyStandardImpl(const Matrix &a, const Matrix &b) { | |
| 40 | 120 | int n = a.size; | |
| 41 | Matrix result(n); | ||
| 42 | |||
| 43 |
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| 44 |
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| 45 | double sum = 0.0; | ||
| 46 |
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| 47 | 17077024 | sum += a(i, k) * b(k, j); | |
| 48 | } | ||
| 49 | 273136 | result(i, j) = sum; | |
| 50 | } | ||
| 51 | } | ||
| 52 | |||
| 53 | 120 | return result; | |
| 54 | } | ||
| 55 | |||
| 56 | 16 | void SplitMatrixImpl(const Matrix &m, Matrix &m11, Matrix &m12, Matrix &m21, Matrix &m22) { | |
| 57 | 16 | int n = m.size; | |
| 58 | 16 | int half = n / 2; | |
| 59 | |||
| 60 |
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1040 | for (int i = 0; i < half; ++i) { |
| 61 |
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66560 | for (int j = 0; j < half; ++j) { |
| 62 | 65536 | m11(i, j) = m(i, j); | |
| 63 | 65536 | m12(i, j) = m(i, j + half); | |
| 64 | 65536 | m21(i, j) = m(i + half, j); | |
| 65 | 65536 | m22(i, j) = m(i + half, j + half); | |
| 66 | } | ||
| 67 | } | ||
| 68 | 16 | } | |
| 69 | |||
| 70 | 8 | Matrix MergeMatricesImpl(const Matrix &m11, const Matrix &m12, const Matrix &m21, const Matrix &m22) { | |
| 71 | 8 | int half = m11.size; | |
| 72 | 8 | int n = 2 * half; | |
| 73 | Matrix result(n); | ||
| 74 | |||
| 75 |
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520 | for (int i = 0; i < half; ++i) { |
| 76 |
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33280 | for (int j = 0; j < half; ++j) { |
| 77 | 32768 | result(i, j) = m11(i, j); | |
| 78 | 32768 | result(i, j + half) = m12(i, j); | |
| 79 | 32768 | result(i + half, j) = m21(i, j); | |
| 80 | 32768 | result(i + half, j + half) = m22(i, j); | |
| 81 | } | ||
| 82 | } | ||
| 83 | |||
| 84 | 8 | return result; | |
| 85 | } | ||
| 86 | |||
| 87 | 8 | Matrix MultiplyStrassenIterative(const Matrix &a, const Matrix &b, int leaf_size) { | |
| 88 | 8 | int n = a.size; | |
| 89 | |||
| 90 |
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8 | if (n <= leaf_size || n % 2 != 0) { |
| 91 | ✗ | return MultiplyStandardImpl(a, b); | |
| 92 | } | ||
| 93 | |||
| 94 | 8 | int half = n / 2; | |
| 95 | |||
| 96 | Matrix a11(half); | ||
| 97 | Matrix a12(half); | ||
| 98 | Matrix a21(half); | ||
| 99 | Matrix a22(half); | ||
| 100 | Matrix b11(half); | ||
| 101 | Matrix b12(half); | ||
| 102 | Matrix b21(half); | ||
| 103 | Matrix b22(half); | ||
| 104 | |||
| 105 | 8 | SplitMatrixImpl(a, a11, a12, a21, a22); | |
| 106 | 8 | SplitMatrixImpl(b, b11, b12, b21, b22); | |
| 107 | |||
| 108 |
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8 | Matrix p1 = MultiplyStandardImpl(a11, SubtractMatrixImpl(b12, b22)); |
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8 | Matrix p2 = MultiplyStandardImpl(AddMatrixImpl(a11, a12), b22); |
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8 | Matrix p3 = MultiplyStandardImpl(AddMatrixImpl(a21, a22), b11); |
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8 | Matrix p4 = MultiplyStandardImpl(a22, SubtractMatrixImpl(b21, b11)); |
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16 | Matrix p5 = MultiplyStandardImpl(AddMatrixImpl(a11, a22), AddMatrixImpl(b11, b22)); |
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16 | Matrix p6 = MultiplyStandardImpl(SubtractMatrixImpl(a12, a22), AddMatrixImpl(b21, b22)); |
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16 | Matrix p7 = MultiplyStandardImpl(SubtractMatrixImpl(a11, a21), AddMatrixImpl(b11, b12)); |
| 115 | |||
| 116 |
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8 | Matrix c11 = AddMatrixImpl(SubtractMatrixImpl(AddMatrixImpl(p5, p4), p2), p6); |
| 117 |
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8 | Matrix c12 = AddMatrixImpl(p1, p2); |
| 118 |
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8 | Matrix c21 = AddMatrixImpl(p3, p4); |
| 119 |
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8 | Matrix c22 = SubtractMatrixImpl(SubtractMatrixImpl(AddMatrixImpl(p5, p1), p3), p7); |
| 120 | |||
| 121 |
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8 | return MergeMatricesImpl(c11, c12, c21, c22); |
| 122 | } | ||
| 123 | |||
| 124 | } // namespace | ||
| 125 | |||
| 126 |
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88 | MorozovaSStrassenMultiplicationSEQ::MorozovaSStrassenMultiplicationSEQ(const InType &in) { |
| 127 | SetTypeOfTask(GetStaticTypeOfTask()); | ||
| 128 |
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88 | GetInput() = in; |
| 129 | 88 | GetOutput() = OutType(); | |
| 130 | 88 | } | |
| 131 | |||
| 132 | 88 | bool MorozovaSStrassenMultiplicationSEQ::ValidationImpl() { | |
| 133 | 88 | return true; | |
| 134 | } | ||
| 135 | |||
| 136 |
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88 | bool MorozovaSStrassenMultiplicationSEQ::PreProcessingImpl() { |
| 137 |
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88 | if (GetInput().empty()) { |
| 138 | 8 | valid_data_ = false; | |
| 139 | 8 | return true; | |
| 140 | } | ||
| 141 | |||
| 142 | 80 | double size_val = GetInput()[0]; | |
| 143 |
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80 | if (size_val <= 0.0) { |
| 144 | 8 | valid_data_ = false; | |
| 145 | 8 | return true; | |
| 146 | } | ||
| 147 | |||
| 148 |
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72 | int n = static_cast<int>(size_val); |
| 149 | |||
| 150 |
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72 | if (GetInput().size() != 1 + (2 * static_cast<size_t>(n) * static_cast<size_t>(n))) { |
| 151 | ✗ | valid_data_ = false; | |
| 152 | ✗ | return true; | |
| 153 | } | ||
| 154 | |||
| 155 | 72 | valid_data_ = true; | |
| 156 | 72 | n_ = n; | |
| 157 | |||
| 158 | 72 | a_ = Matrix(n_); | |
| 159 | 72 | b_ = Matrix(n_); | |
| 160 | |||
| 161 | int idx = 1; | ||
| 162 |
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2136 | for (int i = 0; i < n_; ++i) { |
| 163 |
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176896 | for (int j = 0; j < n_; ++j) { |
| 164 | 174832 | a_(i, j) = GetInput()[idx++]; | |
| 165 | } | ||
| 166 | } | ||
| 167 | |||
| 168 |
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2136 | for (int i = 0; i < n_; ++i) { |
| 169 |
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| 170 | 174832 | b_(i, j) = GetInput()[idx++]; | |
| 171 | } | ||
| 172 | } | ||
| 173 | |||
| 174 | return true; | ||
| 175 | } | ||
| 176 | |||
| 177 | 88 | bool MorozovaSStrassenMultiplicationSEQ::RunImpl() { | |
| 178 |
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88 | if (!valid_data_) { |
| 179 | return true; | ||
| 180 | } | ||
| 181 | |||
| 182 | const int leaf_size = 64; | ||
| 183 | |||
| 184 |
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72 | if (n_ <= leaf_size) { |
| 185 | 64 | c_ = MultiplyStandard(a_, b_); | |
| 186 | } else { | ||
| 187 | 16 | c_ = MultiplyStrassenIterative(a_, b_, leaf_size); | |
| 188 | } | ||
| 189 | |||
| 190 | return true; | ||
| 191 | } | ||
| 192 | |||
| 193 |
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88 | bool MorozovaSStrassenMultiplicationSEQ::PostProcessingImpl() { |
| 194 | OutType &output = GetOutput(); | ||
| 195 | output.clear(); | ||
| 196 | |||
| 197 |
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88 | if (!valid_data_) { |
| 198 | return true; | ||
| 199 | } | ||
| 200 | |||
| 201 | 72 | output.push_back(static_cast<double>(n_)); | |
| 202 | |||
| 203 |
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| 204 |
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176896 | for (int j = 0; j < n_; ++j) { |
| 205 | output.push_back(c_(i, j)); | ||
| 206 | } | ||
| 207 | } | ||
| 208 | |||
| 209 | return true; | ||
| 210 | } | ||
| 211 | |||
| 212 | ✗ | Matrix MorozovaSStrassenMultiplicationSEQ::AddMatrix(const Matrix &a, const Matrix &b) { | |
| 213 | ✗ | return AddMatrixImpl(a, b); | |
| 214 | } | ||
| 215 | |||
| 216 | ✗ | Matrix MorozovaSStrassenMultiplicationSEQ::SubtractMatrix(const Matrix &a, const Matrix &b) { | |
| 217 | ✗ | return SubtractMatrixImpl(a, b); | |
| 218 | } | ||
| 219 | |||
| 220 | ✗ | Matrix MorozovaSStrassenMultiplicationSEQ::MultiplyStandard(const Matrix &a, const Matrix &b) { | |
| 221 | 64 | return MultiplyStandardImpl(a, b); | |
| 222 | } | ||
| 223 | |||
| 224 | ✗ | void MorozovaSStrassenMultiplicationSEQ::SplitMatrix(const Matrix &m, Matrix &m11, Matrix &m12, Matrix &m21, | |
| 225 | Matrix &m22) { | ||
| 226 | ✗ | SplitMatrixImpl(m, m11, m12, m21, m22); | |
| 227 | ✗ | } | |
| 228 | |||
| 229 | ✗ | Matrix MorozovaSStrassenMultiplicationSEQ::MergeMatrices(const Matrix &m11, const Matrix &m12, const Matrix &m21, | |
| 230 | const Matrix &m22) { | ||
| 231 | ✗ | return MergeMatricesImpl(m11, m12, m21, m22); | |
| 232 | } | ||
| 233 | |||
| 234 | ✗ | Matrix MorozovaSStrassenMultiplicationSEQ::MultiplyStrassen(const Matrix &a, const Matrix &b, int leaf_size) { | |
| 235 | ✗ | return MultiplyStrassenIterative(a, b, leaf_size); | |
| 236 | } | ||
| 237 | |||
| 238 | } // namespace morozova_s_strassen_multiplication | ||
| 239 |