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/*
* Copyright (c) Facebook, Inc. and its affiliates.
* All rights reserved.
* This source code is licensed under the BSD-style license found in the
* LICENSE file in the root directory of this source tree.
*/
#include "fbgemm/FbgemmFP16.h"
#include <cpuinfo.h>
#include <array>
#include <utility>
#include "FbgemmFP16UKernelsAvx2.h"
using namespace std;
namespace fbgemm {
/// class that performs packing of matrix in
/// row-major or col-major format into
/// internal packed blocked-row major format
/// Todo: make it fast with AVX2 transpose
inline void PackA(int nrow, int ncol, const float* from, int ldim, float* to) {
// for (int r = 0; r < nrow; ++r) {
// for (int c = 0; c < ncol; ++c) {
// to[r + c * nrow] = from[r * ldim + c];
// }
// }
transpose_simd(nrow, ncol, from, ldim, to, nrow);
}
struct KernelInfo {
using knl_ptr = funcptr_fp16;
// optimized kernels to cover all cases
static constexpr array<knl_ptr, 15> kernel = {
{nullptr,
gemmkernel_1x1_AVX2_fA0fB0fC0,
gemmkernel_2x1_AVX2_fA0fB0fC0,
gemmkernel_3x1_AVX2_fA0fB0fC0,
gemmkernel_4x1_AVX2_fA0fB0fC0,
gemmkernel_5x1_AVX2_fA0fB0fC0,
gemmkernel_6x1_AVX2_fA0fB0fC0,
gemmkernel_7x1_AVX2_fA0fB0fC0,
gemmkernel_8x1_AVX2_fA0fB0fC0,
gemmkernel_9x1_AVX2_fA0fB0fC0,
gemmkernel_10x1_AVX2_fA0fB0fC0,
gemmkernel_11x1_AVX2_fA0fB0fC0,
gemmkernel_12x1_AVX2_fA0fB0fC0,
gemmkernel_13x1_AVX2_fA0fB0fC0,
gemmkernel_14x1_AVX2_fA0fB0fC0}};
// autotuned kernel splits for various cases m = 1:mb_max
// may need re-autotuning for new uarch
static constexpr array<array<array<int, 2>, 2>, 121> partition = {
// NOTE: clang-format wants to use a different formatting but the current
// formatting should be easier to read.
{
{{ { 0, 0 }, { 0, 0 } } },
{{ { 1, 1 }, { 0, 0 } } },
{{ { 2, 1 }, { 0, 0 } } },
{{ { 3, 1 }, { 0, 0 } } },
{{ { 4, 1 }, { 0, 0 } } },
{{ { 5, 1 }, { 0, 0 } } },
{{ { 6, 1 }, { 0, 0 } } },
{{ { 7, 1 }, { 0, 0 } } },
{{ { 8, 1 }, { 0, 0 } } },
{{ { 9, 1 }, { 0, 0 } } },
{{ { 10, 1 }, { 0, 0 } } },
{{ { 11, 1 }, { 0, 0 } } },
{{ { 12, 1 }, { 0, 0 } } },
{{ { 13, 1 }, { 0, 0 } } },
{{ { 14, 1 }, { 0, 0 } } },
{{ { 8, 1 }, { 7, 1 } } },
{{ { 10, 1 }, { 6, 1 } } },
{{ { 11, 1 }, { 6, 1 } } },
{{ { 12, 1 }, { 6, 1 } } },
{{ { 11, 1 }, { 8, 1 } } },
{{ { 11, 1 }, { 9, 1 } } },
{{ { 12, 1 }, { 9, 1 } } },
{{ { 11, 2 }, { 0, 0 } } },
{{ { 12, 1 }, { 11, 1 } } },
{{ { 12, 2 }, { 0, 0 } } },
{{ { 13, 1 }, { 12, 1 } } },
{{ { 13, 2 }, { 0, 0 } } },
{{ { 14, 1 }, { 13, 1 } } },
{{ { 14, 2 }, { 0, 0 } } },
{{ { 11, 2 }, { 7, 1 } } },
{{ { 10, 3 }, { 0, 0 } } },
{{ { 12, 2 }, { 7, 1 } } },
{{ { 12, 2 }, { 8, 1 } } },
{{ { 11, 3 }, { 0, 0 } } },
{{ { 13, 2 }, { 8, 1 } } },
{{ { 13, 2 }, { 9, 1 } } },
{{ { 13, 2 }, { 10, 1 } } },
{{ { 13, 2 }, { 11, 1 } } },
{{ { 13, 2 }, { 12, 1 } } },
{{ { 13, 3 }, { 0, 0 } } },
{{ { 14, 2 }, { 12, 1 } } },
{{ { 14, 2 }, { 13, 1 } } },
{{ { 11, 3 }, { 9, 1 } } },
{{ { 11, 3 }, { 10, 1 } } },
{{ { 11, 4 }, { 0, 0 } } },
{{ { 12, 3 }, { 9, 1 } } },
{{ { 12, 3 }, { 10, 1 } } },
{{ { 13, 3 }, { 8, 1 } } },
{{ { 13, 3 }, { 9, 1 } } },
{{ { 13, 3 }, { 10, 1 } } },
{{ { 13, 3 }, { 11, 1 } } },
{{ { 13, 3 }, { 12, 1 } } },
{{ { 13, 4 }, { 0, 0 } } },
{{ { 14, 3 }, { 11, 1 } } },
{{ { 11, 4 }, { 10, 1 } } },
{{ { 12, 4 }, { 7, 1 } } },
{{ { 14, 4 }, { 0, 0 } } },
{{ { 12, 4 }, { 9, 1 } } },
{{ { 12, 4 }, { 10, 1 } } },
{{ { 12, 4 }, { 11, 1 } } },
{{ { 13, 4 }, { 8, 1 } } },
{{ { 13, 4 }, { 9, 1 } } },
{{ { 13, 4 }, { 10, 1 } } },
{{ { 13, 4 }, { 11, 1 } } },
{{ { 11, 5 }, { 9, 1 } } },
{{ { 13, 5 }, { 0, 0 } } },
{{ { 14, 4 }, { 10, 1 } } },
{{ { 12, 5 }, { 7, 1 } } },
{{ { 12, 5 }, { 8, 1 } } },
{{ { 14, 4 }, { 13, 1 } } },
{{ { 14, 5 }, { 0, 0 } } },
{{ { 12, 5 }, { 11, 1 } } },
{{ { 13, 5 }, { 7, 1 } } },
{{ { 11, 6 }, { 7, 1 } } },
{{ { 13, 5 }, { 9, 1 } } },
{{ { 13, 5 }, { 10, 1 } } },
{{ { 13, 5 }, { 11, 1 } } },
{{ { 13, 5 }, { 12, 1 } } },
{{ { 13, 6 }, { 0, 0 } } },
{{ { 12, 6 }, { 7, 1 } } },
{{ { 12, 6 }, { 8, 1 } } },
{{ { 12, 6 }, { 9, 1 } } },
{{ { 12, 6 }, { 10, 1 } } },
{{ { 12, 6 }, { 11, 1 } } },
{{ { 12, 7 }, { 0, 0 } } },
{{ { 13, 6 }, { 7, 1 } } },
{{ { 13, 6 }, { 8, 1 } } },
{{ { 13, 6 }, { 9, 1 } } },
{{ { 13, 6 }, { 10, 1 } } },
{{ { 13, 6 }, { 11, 1 } } },
{{ { 13, 6 }, { 12, 1 } } },
{{ { 13, 7 }, { 0, 0 } } },
{{ { 12, 7 }, { 8, 1 } } },
{{ { 12, 7 }, { 9, 1 } } },
{{ { 14, 6 }, { 10, 1 } } },
{{ { 12, 7 }, { 11, 1 } } },
{{ { 13, 7 }, { 5, 1 } } },
{{ { 13, 7 }, { 6, 1 } } },
{{ { 13, 7 }, { 7, 1 } } },
{{ { 13, 7 }, { 8, 1 } } },
{{ { 13, 7 }, { 9, 1 } } },
{{ { 13, 7 }, { 10, 1 } } },
{{ { 13, 7 }, { 11, 1 } } },
{{ { 13, 7 }, { 12, 1 } } },
{{ { 12, 8 }, { 8, 1 } } },
{{ { 12, 8 }, { 9, 1 } } },
{{ { 12, 8 }, { 10, 1 } } },
{{ { 12, 8 }, { 11, 1 } } },
{{ { 12, 9 }, { 0, 0 } } },
{{ { 11, 9 }, { 10, 1 } } },
{{ { 13, 8 }, { 6, 1 } } },
{{ { 13, 8 }, { 7, 1 } } },
{{ { 13, 8 }, { 8, 1 } } },
{{ { 13, 8 }, { 9, 1 } } },
{{ { 13, 8 }, { 10, 1 } } },
{{ { 13, 8 }, { 11, 1 } } },
{{ { 12, 9 }, { 8, 1 } } },
{{ { 13, 9 }, { 0, 0 } } },
{{ { 12, 9 }, { 10, 1 } } },
{{ { 12, 9 }, { 11, 1 } } },
{{ { 12, 10 }, { 0, 0 } } }
}
};
};
constexpr array<KernelInfo::knl_ptr, 15> KernelInfo::kernel;
constexpr array<array<array<int, 2>, 2>, 121> KernelInfo::partition;
// autotuned kernel splits for various cases m = 1:mb_max
FBGEMM_API void cblas_gemm_compute(
const matrix_op_t transa,
const int m,
const float* A,
const PackedGemmMatrixFP16& Bp,
const float beta,
float* C) {
// ground truth
assert(cpuinfo_initialize());
assert(cpuinfo_has_x86_fma3());
assert(cpuinfo_has_x86_f16c());
assert(transa == matrix_op_t::NoTranspose);
// constants
const int n = Bp.numCols(), k = Bp.numRows(), ldc = n;
const int mb_max = 120;
constexpr int simd_width = 8;
constexpr int kernel_ncol_blocks = 1;
constexpr int kernel_ncols = kernel_ncol_blocks * simd_width;
// private scratchpad storage
static thread_local unique_ptr<std::array<float, 256 * 1024>> scratchpad(
new std::array<float, 256 * 1024>());
GemmParams gp;
for (auto m0 = 0; m0 < m; m0 += mb_max) {
int mb = std::min(mb_max, m - m0);
assert(mb < KernelInfo::partition.size());
for (auto k_ind = 0; k_ind < k; k_ind += Bp.blockRowSize()) {
// set up proper accumulation to avoid "Nan" problem
float beta_;
uint64_t accum;
if (k_ind == 0) {
// accumulate of beta != 0.0
// do not!!! accumulate otherwise
beta_ = beta;
accum = (beta_ == 0.0f) ? 0 : 1;
} else {
// always accumulate with beta_ = 1.0f
beta_ = 1.0f;
accum = 1;
}
const int kb = std::min(Bp.blockRowSize(), Bp.numRows() - k_ind);
auto m1 = 0;
for (auto c = 0; c < 2; c++) {
auto kernel_nrows = KernelInfo::partition[mb][c][0];
auto nkernel_nrows = KernelInfo::partition[mb][c][1];
auto m_start = m1, m_end = m1 + kernel_nrows * nkernel_nrows;
for (auto m2 = m_start; m2 < m_end; m2 += kernel_nrows) {
assert(kernel_nrows * kb < scratchpad->size());
PackA(kernel_nrows, kb, &A[m2 * k + k_ind], k, scratchpad->data());
int nbcol = n / Bp.blockColSize();
gp.k = kb;
gp.A = scratchpad->data();
gp.B = &(Bp(k_ind, 0));
gp.beta = &beta_;
gp.accum = accum;
gp.C = &C[m2 * ldc];
gp.ldc = ldc * sizeof(C[0]);
gp.b_block_cols = nbcol;
gp.b_block_size = gp.k * Bp.blockColSize() * sizeof(gp.B[0]);
if ((n % Bp.blockColSize()) == 0) {
KernelInfo::kernel[kernel_nrows](&gp);
} else {
int last_blk_col = nbcol * Bp.blockColSize();
if (nbcol) {
KernelInfo::kernel[kernel_nrows](&gp);
}
// leftover
int rem = n - last_blk_col;
assert(rem < kernel_ncols);
int b = (rem % simd_width) ? ((rem + simd_width) / simd_width)
: (rem / simd_width);
assert(b == 1);
if ((rem % simd_width) == 0) {
gp.B = &(Bp(k_ind, last_blk_col));
gp.C = &C[m2 * ldc + last_blk_col];
gp.b_block_cols = 1;
KernelInfo::kernel[kernel_nrows](&gp);
} else {
// small temporary buffer
float c_tmp[16 * 24] = {0};
assert((16 * 24) > kernel_nrows * kernel_ncols);
gp.B = &(Bp(k_ind, last_blk_col));
gp.C = c_tmp;
gp.ldc = 8 * sizeof(C[0]);
gp.b_block_cols = 1;
KernelInfo::kernel[kernel_nrows](&gp);
for (int i = 0; i < kernel_nrows; i++) {
// Todo: use assembly
for (int j = last_blk_col; j < n; j++) {
assert(
i * 8 + (j - last_blk_col) <
sizeof(c_tmp) / sizeof(c_tmp[0]));
if (accum == 0) {
C[(m2 + i) * ldc + j] = c_tmp[i * 8 + (j - last_blk_col)];
} else {
C[(m2 + i) * ldc + j] = beta_ * C[(m2 + i) * ldc + j] +
c_tmp[i * 8 + (j - last_blk_col)];
}
}
}
}
}
}
m1 += kernel_nrows * nkernel_nrows;
}
}
}
}
} // namespace fbgemm
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