| // See LICENSE for license details. |
| |
| #include "common.h" |
| #include <assert.h> |
| #include <math.h> |
| #include <stdint.h> |
| #include <alloca.h> |
| |
| #define MIN(a, b) ((a) < (b) ? (a) : (b)) |
| |
| static void mm_naive(size_t m, size_t n, size_t p, |
| t* a, size_t lda, t* b, size_t ldb, t* c, size_t ldc) |
| { |
| for (size_t i = 0; i < m; i++) |
| { |
| for (size_t j = 0; j < n; j++) |
| { |
| t s0 = c[i*ldc+j], s1 = 0, s2 = 0, s3 = 0; |
| for (size_t k = 0; k < p/4*4; k+=4) |
| { |
| s0 = fma(a[i*lda+k+0], b[(k+0)*ldb+j], s0); |
| s1 = fma(a[i*lda+k+1], b[(k+1)*ldb+j], s1); |
| s2 = fma(a[i*lda+k+2], b[(k+2)*ldb+j], s2); |
| s3 = fma(a[i*lda+k+3], b[(k+3)*ldb+j], s3); |
| } |
| for (size_t k = p/4*4; k < p; k++) |
| s0 = fma(a[i*lda+k], b[k*ldb+j], s0); |
| c[i*ldc+j] = (s0 + s1) + (s2 + s3); |
| } |
| } |
| } |
| |
| static inline void mm_rb(size_t m, size_t n, size_t p, |
| t* a, size_t lda, t* b, size_t ldb, t* c, size_t ldc) |
| { |
| size_t mb = m/RBM*RBM, nb = n/RBN*RBN; |
| for (size_t i = 0; i < mb; i += RBM) |
| { |
| for (size_t j = 0; j < nb; j += RBN) |
| kloop(p, a+i*lda, lda, b+j, ldb, c+i*ldc+j, ldc); |
| mm_naive(RBM, n - nb, p, a+i*lda, lda, b+nb, ldb, c+i*ldc+nb, ldc); |
| } |
| mm_naive(m - mb, n, p, a+mb*lda, lda, b, ldb, c+mb*ldc, ldc); |
| } |
| |
| static inline void repack(t* a, size_t lda, const t* a0, size_t lda0, size_t m, size_t p) |
| { |
| for (size_t i = 0; i < m; i++) |
| { |
| for (size_t j = 0; j < p/8*8; j+=8) |
| { |
| t t0 = a0[i*lda0+j+0]; |
| t t1 = a0[i*lda0+j+1]; |
| t t2 = a0[i*lda0+j+2]; |
| t t3 = a0[i*lda0+j+3]; |
| t t4 = a0[i*lda0+j+4]; |
| t t5 = a0[i*lda0+j+5]; |
| t t6 = a0[i*lda0+j+6]; |
| t t7 = a0[i*lda0+j+7]; |
| a[i*lda+j+0] = t0; |
| a[i*lda+j+1] = t1; |
| a[i*lda+j+2] = t2; |
| a[i*lda+j+3] = t3; |
| a[i*lda+j+4] = t4; |
| a[i*lda+j+5] = t5; |
| a[i*lda+j+6] = t6; |
| a[i*lda+j+7] = t7; |
| } |
| for (size_t j = p/8*8; j < p; j++) |
| a[i*lda+j] = a0[i*lda0+j]; |
| } |
| } |
| |
| static void mm_cb(size_t m, size_t n, size_t p, |
| t* a, size_t lda, t* b, size_t ldb, t* c, size_t ldc) |
| { |
| size_t nmb = m/CBM, nnb = n/CBN, npb = p/CBK; |
| size_t mb = nmb*CBM, nb = nnb*CBN, pb = npb*CBK; |
| //t a1[mb*pb], b1[pb*nb], c1[mb*nb]; |
| t* a1 = (t*)alloca_aligned(sizeof(t)*mb*pb, 8192); |
| t* b1 = (t*)alloca_aligned(sizeof(t)*pb*nb, 8192); |
| t* c1 = (t*)alloca_aligned(sizeof(t)*mb*nb, 8192); |
| |
| for (size_t i = 0; i < mb; i += CBM) |
| for (size_t j = 0; j < pb; j += CBK) |
| repack(a1 + (npb*(i/CBM) + j/CBK)*(CBM*CBK), CBK, a + i*lda + j, lda, CBM, CBK); |
| |
| for (size_t i = 0; i < pb; i += CBK) |
| for (size_t j = 0; j < nb; j += CBN) |
| repack(b1 + (nnb*(i/CBK) + j/CBN)*(CBK*CBN), CBN, b + i*ldb + j, ldb, CBK, CBN); |
| |
| for (size_t i = 0; i < mb; i += CBM) |
| for (size_t j = 0; j < nb; j += CBN) |
| repack(c1 + (nnb*(i/CBM) + j/CBN)*(CBM*CBN), CBN, c + i*ldc + j, ldc, CBM, CBN); |
| |
| for (size_t i = 0; i < mb; i += CBM) |
| { |
| for (size_t j = 0; j < nb; j += CBN) |
| { |
| for (size_t k = 0; k < pb; k += CBK) |
| { |
| mm_rb(CBM, CBN, CBK, |
| a1 + (npb*(i/CBM) + k/CBK)*(CBM*CBK), CBK, |
| b1 + (nnb*(k/CBK) + j/CBN)*(CBK*CBN), CBN, |
| c1 + (nnb*(i/CBM) + j/CBN)*(CBM*CBN), CBN); |
| } |
| if (pb < p) |
| { |
| mm_rb(CBM, CBN, p - pb, |
| a + i*lda + pb, lda, |
| b + pb*ldb + j, ldb, |
| c1 + (nnb*(i/CBM) + j/CBN)*(CBM*CBN), CBN); |
| } |
| } |
| if (nb < n) |
| { |
| for (size_t k = 0; k < p; k += CBK) |
| { |
| mm_rb(CBM, n - nb, MIN(p - k, CBK), |
| a + i*lda + k, lda, |
| b + k*ldb + nb, ldb, |
| c + i*ldc + nb, ldc); |
| } |
| } |
| } |
| if (mb < m) |
| { |
| for (size_t j = 0; j < n; j += CBN) |
| { |
| for (size_t k = 0; k < p; k += CBK) |
| { |
| mm_rb(m - mb, MIN(n - j, CBN), MIN(p - k, CBK), |
| a + mb*lda + k, lda, |
| b + k*ldb + j, ldb, |
| c + mb*ldc + j, ldc); |
| } |
| } |
| } |
| |
| for (size_t i = 0; i < mb; i += CBM) |
| for (size_t j = 0; j < nb; j += CBN) |
| repack(c + i*ldc + j, ldc, c1 + (nnb*(i/CBM) + j/CBN)*(CBM*CBN), CBN, CBM, CBN); |
| } |
| |
| void mm(size_t m, size_t n, size_t p, |
| t* a, size_t lda, t* b, size_t ldb, t* c, size_t ldc) |
| { |
| if (__builtin_expect(m <= 2*CBM && n <= 2*CBN && p <= 2*CBK, 1)) |
| mm_rb(m, n, p, a, lda, b, ldb, c, ldc); |
| else |
| mm_cb(m, n, p, a, lda, b, ldb, c, ldc); |
| } |