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| 1 | +#define BF16_EPSILON 0.00781250 |
| 2 | +static constexpr size_t M_MULTIPLIER = 16; |
| 3 | + |
| 4 | +template <typename T, size_t NUM_ROWS, size_t NUM_COLS> struct big_matrix { |
| 5 | +private: |
| 6 | + T *mat; |
| 7 | + |
| 8 | +public: |
| 9 | + T *get_data() { return mat; } |
| 10 | + void set_data(T *data) { mat = data; } |
| 11 | + big_matrix(T *data) : mat(data) {} |
| 12 | +}; |
| 13 | + |
| 14 | +template <typename T> |
| 15 | +void matrix_vnni(unsigned int rows, unsigned int cols, T *src, T *dest, |
| 16 | + unsigned int vnniFactor) { |
| 17 | + for (unsigned int i = 0; i < rows / vnniFactor; i++) { |
| 18 | + for (unsigned int j = 0; j < cols; j++) { |
| 19 | + for (unsigned int k = 0; k < vnniFactor; k++) { |
| 20 | + dest[i * cols * vnniFactor + j * vnniFactor + k] = |
| 21 | + src[(i * vnniFactor + k) * cols + j]; |
| 22 | + } |
| 23 | + } |
| 24 | + } |
| 25 | +} |
| 26 | + |
| 27 | +template <typename T1, typename T2, size_t M, size_t N, size_t K, |
| 28 | + int vnniFactor, size_t TM, size_t TN, size_t TK> |
| 29 | +void matrix_multiply(big_matrix<T1, M, N> &C, big_matrix<T2, M, K> &A, |
| 30 | + big_matrix<T2, K / vnniFactor, N * vnniFactor> &B) { |
| 31 | + size_t NDRangeM = M / TM; |
| 32 | + size_t NDRangeN = N / TN; |
| 33 | + buffer<T2, 2> bufA(A.get_data(), range<2>(M, K)); |
| 34 | + buffer<T2, 2> bufB(B.get_data(), range<2>(K, N)); |
| 35 | + buffer<T1, 2> bufC(C.get_data(), range<2>(M, N)); |
| 36 | + |
| 37 | + queue q; |
| 38 | + q.submit([&](handler &cgh) { |
| 39 | + sycl::accessor accC{bufC, cgh, sycl::read_write}; |
| 40 | + sycl::accessor accA{bufA, cgh, sycl::read_only}; |
| 41 | + sycl::accessor accB{bufB, cgh, sycl::read_only}; |
| 42 | + |
| 43 | + cgh.parallel_for( |
| 44 | + nd_range<2>({NDRangeM, NDRangeN * SG_SZ}, {1, 1 * SG_SZ}), |
| 45 | + [=](nd_item<2> spmd_item) [[intel::reqd_sub_group_size(SG_SZ)]] |
| 46 | + |
| 47 | + { |
| 48 | + // The submatrix API has to be accessed by all the workitems in a |
| 49 | + // subgroup these functions will be called once by the subgroup no |
| 50 | + // code divergence between the workitems |
| 51 | + const auto global_idx = spmd_item.get_global_id(0); |
| 52 | + const auto global_idy = spmd_item.get_global_id(1); |
| 53 | + const auto sg_startx = global_idx - spmd_item.get_local_id(0); |
| 54 | + const auto sg_starty = global_idy - spmd_item.get_local_id(1); |
| 55 | + |
| 56 | + sub_group sg = spmd_item.get_sub_group(); |
| 57 | + joint_matrix<sub_group, T2, use::a, TM, TK, layout::row_major> sub_a; |
| 58 | + // For B, we assume B has been already VNNIed. |
| 59 | + joint_matrix<sub_group, T2, use::b, TK, TN, |
| 60 | + ext::intel::experimental::matrix::layout::packed> |
| 61 | + sub_b; |
| 62 | + joint_matrix<sub_group, T1, use::accumulator, TM, TN> sub_c; |
| 63 | + |
| 64 | + joint_matrix_load(sg, sub_c, |
| 65 | + accC.get_pointer() + (sg_startx * TM) * N + |
| 66 | + sg_starty / SG_SZ * TN, |
| 67 | + N, layout::row_major); |
| 68 | + for (int k = 0; k < K / TK; k += 1) { |
| 69 | + joint_matrix_load( |
| 70 | + sg, sub_a, accA.get_pointer() + (sg_startx * TM) * K + k * TK, |
| 71 | + K); |
| 72 | + joint_matrix_load(sg, sub_b, |
| 73 | + accB.get_pointer() + |
| 74 | + (k * TK / vnniFactor) * (N * vnniFactor) + |
| 75 | + sg_starty / SG_SZ * TN * vnniFactor, |
| 76 | + N * vnniFactor); |
| 77 | + sub_c = joint_matrix_mad(sg, sub_a, sub_b, sub_c); |
| 78 | + } |
| 79 | + joint_matrix_store(sg, sub_c, |
| 80 | + accC.get_pointer() + (sg_startx * TM) * N + |
| 81 | + sg_starty / SG_SZ * TN, |
| 82 | + N, layout::row_major); |
| 83 | + }); // parallel for |
| 84 | + }).wait(); |
| 85 | +} |
| 86 | + |
| 87 | +static constexpr size_t MATRIX_N = 128; |
| 88 | +static constexpr size_t MATRIX_K = 128; |
| 89 | + |
| 90 | +float make_fp32(bfloat16 x) { |
| 91 | + unsigned int y = *((int *)&x); |
| 92 | + y = y << 16; |
| 93 | + float *res = reinterpret_cast<float *>(&y); |
| 94 | + return *res; |
| 95 | +} |
| 96 | + |
| 97 | +template <typename Ta, typename Tc> |
| 98 | +void matrix_multiply_ref(Ta *A, Ta *B, Tc *C, int M, int N, int K) { |
| 99 | + for (int m = 0; m < M; m++) |
| 100 | + for (int n = 0; n < N; n++) { |
| 101 | + for (int k = 0; k < K; k++) { |
| 102 | + if (std::is_same_v<Ta, bfloat16> && std::is_same_v<Tc, float>) |
| 103 | + C[m * N + n] += make_fp32(A[m * K + k]) * make_fp32(B[k * N + n]); |
| 104 | + if (std::is_same_v<Ta, int8_t> && std::is_same_v<Tc, int32_t>) |
| 105 | + C[m * N + n] += A[m * K + k] * B[k * N + n]; |
| 106 | + } |
| 107 | + } |
| 108 | +} |
| 109 | + |
| 110 | +template <typename Ta, typename Tc, int vnni_factor, size_t tM, size_t tN, |
| 111 | + size_t tK> |
| 112 | +int init_and_multiply() { |
| 113 | + |
| 114 | + static constexpr size_t MATRIX_M = tM * M_MULTIPLIER; |
| 115 | + std::cout << "MATRIX_M=" << MATRIX_M << "\n"; |
| 116 | + |
| 117 | + Ta A[MATRIX_M][MATRIX_K]; |
| 118 | + Ta B[MATRIX_K][MATRIX_N]; |
| 119 | + Ta Bvnni[MATRIX_K / vnni_factor][MATRIX_N * vnni_factor]; |
| 120 | + Tc C[MATRIX_M][MATRIX_N]; |
| 121 | + Tc D[MATRIX_M][MATRIX_N]; |
| 122 | + |
| 123 | + for (int i = 0; i < MATRIX_M; i++) { |
| 124 | + for (int j = 0; j < MATRIX_K; j++) { |
| 125 | + if (std::is_same_v<Ta, bfloat16> && std::is_same_v<Tc, float>) |
| 126 | + A[i][j] = bfloat16(1.0f * (i + j)); |
| 127 | + if (std::is_same_v<Ta, int8_t> && std::is_same_v<Tc, int32_t>) |
| 128 | + A[i][j] = i + j; |
| 129 | + } |
| 130 | + } |
| 131 | + for (int i = 0; i < MATRIX_K; i++) { |
| 132 | + for (int j = 0; j < MATRIX_N; j++) { |
| 133 | + if (std::is_same_v<Ta, bfloat16> && std::is_same_v<Tc, float>) |
| 134 | + B[i][j] = bfloat16(2.0f * i + 3.0f * j); |
| 135 | + if (std::is_same_v<Ta, int8_t> && std::is_same_v<Tc, int32_t>) |
| 136 | + B[i][j] = i + 2 * j; |
| 137 | + } |
| 138 | + } |
| 139 | + for (int i = 0; i < MATRIX_M; i++) { |
| 140 | + for (int j = 0; j < MATRIX_N; j++) { |
| 141 | + C[i][j] = 1; |
| 142 | + D[i][j] = 1; |
| 143 | + } |
| 144 | + } |
| 145 | + |
| 146 | + big_matrix<Tc, MATRIX_M, MATRIX_N> MC((Tc *)&C); |
| 147 | + big_matrix<Tc, MATRIX_M, MATRIX_N> MD((Tc *)&D); |
| 148 | + big_matrix<Ta, MATRIX_M, MATRIX_K> MA((Ta *)&A); |
| 149 | + matrix_vnni<Ta>(MATRIX_K, MATRIX_N, (Ta *)&B, (Ta *)&Bvnni, vnni_factor); |
| 150 | + big_matrix<Ta, MATRIX_K / vnni_factor, MATRIX_N * vnni_factor> MBvnni( |
| 151 | + (Ta *)&Bvnni); |
| 152 | + |
| 153 | + matrix_multiply<Tc, Ta, MATRIX_M, MATRIX_N, MATRIX_K, vnni_factor, tM, tN, |
| 154 | + tK>(MC, MA, MBvnni); |
| 155 | + matrix_multiply_ref((Ta *)A, (Ta *)B, (Tc *)D, MATRIX_M, MATRIX_N, MATRIX_K); |
| 156 | + |
| 157 | + bool res = true; |
| 158 | + for (int i = 0; i < MATRIX_M; i++) { |
| 159 | + for (int j = 0; j < MATRIX_N; j++) { |
| 160 | + if constexpr (std::is_same_v<Ta, bfloat16> && std::is_same_v<Tc, float>) { |
| 161 | + if (fabs(C[i][j] - D[i][j]) > BF16_EPSILON) { |
| 162 | + res = false; |
| 163 | + std::cout << "Failed bfloat16: C is " << C[i][j] << ", D is " |
| 164 | + << D[i][j] << std::endl; |
| 165 | + } |
| 166 | + } else if (std::is_same_v<Ta, int8_t> && std::is_same_v<Tc, int32_t>) { |
| 167 | + if (C[i][j] != D[i][j]) { |
| 168 | + res = false; |
| 169 | + std::cout << "Failed int8_t: C is " << C[i][j] << ", D is " << D[i][j] |
| 170 | + << std::endl; |
| 171 | + } |
| 172 | + } |
| 173 | + } |
| 174 | + } |
| 175 | + std::cout << (res ? "passed" : "failed") << std::endl; |
| 176 | + return !res; |
| 177 | +} |
| 178 | + |
| 179 | +int main() { |
| 180 | + init_and_multiply<bfloat16, float, 2, 1, SG_SZ, 16>(); |
| 181 | + init_and_multiply<bfloat16, float, 2, 2, SG_SZ, 16>(); |
| 182 | + init_and_multiply<bfloat16, float, 2, 3, SG_SZ, 16>(); |
| 183 | + init_and_multiply<bfloat16, float, 2, 4, SG_SZ, 16>(); |
| 184 | + init_and_multiply<bfloat16, float, 2, 5, SG_SZ, 16>(); |
| 185 | + init_and_multiply<bfloat16, float, 2, 6, SG_SZ, 16>(); |
| 186 | + init_and_multiply<bfloat16, float, 2, 7, SG_SZ, 16>(); |
| 187 | + init_and_multiply<bfloat16, float, 2, 8, SG_SZ, 16>(); |
| 188 | + |
| 189 | + init_and_multiply<int8_t, int32_t, 4, 1, SG_SZ, 32>(); |
| 190 | + init_and_multiply<int8_t, int32_t, 4, 2, SG_SZ, 32>(); |
| 191 | + init_and_multiply<int8_t, int32_t, 4, 3, SG_SZ, 32>(); |
| 192 | + init_and_multiply<int8_t, int32_t, 4, 4, SG_SZ, 32>(); |
| 193 | + init_and_multiply<int8_t, int32_t, 4, 5, SG_SZ, 32>(); |
| 194 | + init_and_multiply<int8_t, int32_t, 4, 6, SG_SZ, 32>(); |
| 195 | + init_and_multiply<int8_t, int32_t, 4, 7, SG_SZ, 32>(); |
| 196 | + init_and_multiply<int8_t, int32_t, 4, 8, SG_SZ, 32>(); |
| 197 | + |
| 198 | + return 0; |
| 199 | +} |
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