/* the direct sgemm code written by Arjan van der Ven */ #include "common.h" #if defined(SKYLAKEX) || defined (COOPERLAKE) #include /* * "Direct sgemm" code. This code operates directly on the inputs and outputs * of the sgemm call, avoiding the copies, memory realignments and threading, * and only supports alpha = 1 and beta = 0. * This is a common case and provides value for relatively small matrixes. * For larger matrixes the "regular" sgemm code is superior, there the cost of * copying/shuffling the B matrix really pays off. */ #define DECLARE_RESULT_512(N,M) __m512 result##N##M = _mm512_setzero_ps() #define BROADCAST_LOAD_A_512(N,M) __m512 Aval##M = _mm512_broadcastss_ps(_mm_load_ss(&A[k + strideA * (i+M)])) #define LOAD_B_512(N,M) __m512 Bval##N = _mm512_loadu_ps(&B[strideB * k + j + (N*16)]) #define MATMUL_512(N,M) result##N##M = _mm512_fmadd_ps(Aval##M, Bval##N , result##N##M) #define STORE_512(N,M) _mm512_storeu_ps(&R[(i+M) * strideR + j+(N*16)], result##N##M) #define DECLARE_RESULT_256(N,M) __m256 result##N##M = _mm256_setzero_ps() #define BROADCAST_LOAD_A_256(N,M) __m256 Aval##M = _mm256_broadcastss_ps(_mm_load_ss(&A[k + strideA * (i+M)])) #define LOAD_B_256(N,M) __m256 Bval##N = _mm256_loadu_ps(&B[strideB * k + j + (N*8)]) #define MATMUL_256(N,M) result##N##M = _mm256_fmadd_ps(Aval##M, Bval##N , result##N##M) #define STORE_256(N,M) _mm256_storeu_ps(&R[(i+M) * strideR + j+(N*8)], result##N##M) #define DECLARE_RESULT_128(N,M) __m128 result##N##M = _mm_setzero_ps() #define BROADCAST_LOAD_A_128(N,M) __m128 Aval##M = _mm_broadcastss_ps(_mm_load_ss(&A[k + strideA * (i+M)])) #define LOAD_B_128(N,M) __m128 Bval##N = _mm_loadu_ps(&B[strideB * k + j + (N*4)]) #define MATMUL_128(N,M) result##N##M = _mm_fmadd_ps(Aval##M, Bval##N , result##N##M) #define STORE_128(N,M) _mm_storeu_ps(&R[(i+M) * strideR + j+(N*4)], result##N##M) #define DECLARE_RESULT_SCALAR(N,M) float result##N##M = 0; #define BROADCAST_LOAD_A_SCALAR(N,M) float Aval##M = A[k + strideA * (i + M)]; #define LOAD_B_SCALAR(N,M) float Bval##N = B[k * strideB + j + N]; #define MATMUL_SCALAR(N,M) result##N##M += Aval##M * Bval##N; #define STORE_SCALAR(N,M) R[(i+M) * strideR + j + N] = result##N##M; #if 0 int sgemm_kernel_direct_performant(BLASLONG M, BLASLONG N, BLASLONG K) { unsigned long long mnk = M * N * K; /* large matrixes -> not performant */ if (mnk >= 28 * 512 * 512) return 0; /* * if the B matrix is not a nice multiple if 4 we get many unaligned accesses, * and the regular sgemm copy/realignment of data pays off much quicker */ if ((N & 3) != 0 && (mnk >= 8 * 512 * 512)) return 0; #ifdef SMP /* if we can run multithreaded, the threading changes the based threshold */ if (mnk > 2 * 350 * 512 && num_cpu_avail(3)> 1) return 0; #endif return 1; } #endif //void sgemm_kernel_direct (BLASLONG M, BLASLONG N, BLASLONG K, float * __restrict A, BLASLONG strideA, float * __restrict B, BLASLONG strideB , float * __restrict R, BLASLONG strideR) void CNAME (BLASLONG M, BLASLONG N, BLASLONG K, float * __restrict A, BLASLONG strideA, float * __restrict B, BLASLONG strideB , float * __restrict R, BLASLONG strideR) { int i, j, k; int m4 = M & ~3; int m2 = M & ~1; int n64 = N & ~63; int n32 = N & ~31; int n16 = N & ~15; int n8 = N & ~7; int n4 = N & ~3; int n2 = N & ~1; i = 0; for (i = 0; i < m4; i+=4) { for (j = 0; j < n64; j+= 64) { k = 0; DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0); DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1); DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2); DECLARE_RESULT_512(2, 2); DECLARE_RESULT_512(3, 2); DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3); DECLARE_RESULT_512(2, 3); DECLARE_RESULT_512(3, 3); for (k = 0; k < K; k++) { BROADCAST_LOAD_A_512(x, 0); BROADCAST_LOAD_A_512(x, 1); BROADCAST_LOAD_A_512(x, 2); BROADCAST_LOAD_A_512(x, 3); LOAD_B_512(0, x); LOAD_B_512(1, x); LOAD_B_512(2, x); LOAD_B_512(3, x); MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0); MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1); MATMUL_512(0, 2); MATMUL_512(1, 2); MATMUL_512(2, 2); MATMUL_512(3, 2); MATMUL_512(0, 3); MATMUL_512(1, 3); MATMUL_512(2, 3); MATMUL_512(3, 3); } STORE_512(0, 0); STORE_512(1, 0); STORE_512(2, 0); STORE_512(3, 0); STORE_512(0, 1); STORE_512(1, 1); STORE_512(2, 1); STORE_512(3, 1); STORE_512(0, 2); STORE_512(1, 2); STORE_512(2, 2); STORE_512(3, 2); STORE_512(0, 3); STORE_512(1, 3); STORE_512(2, 3); STORE_512(3, 3); } for (; j < n32; j+= 32) { DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(1, 2); DECLARE_RESULT_512(0, 3); DECLARE_RESULT_512(1, 3); for (k = 0; k < K; k++) { BROADCAST_LOAD_A_512(x, 0); BROADCAST_LOAD_A_512(x, 1); BROADCAST_LOAD_A_512(x, 2); BROADCAST_LOAD_A_512(x, 3); LOAD_B_512(0, x); LOAD_B_512(1, x); MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(0, 2); MATMUL_512(1, 2); MATMUL_512(0, 3); MATMUL_512(1, 3); } STORE_512(0, 0); STORE_512(1, 0); STORE_512(0, 1); STORE_512(1, 1); STORE_512(0, 2); STORE_512(1, 2); STORE_512(0, 3); STORE_512(1, 3); } for (; j < n16; j+= 16) { DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(0, 2); DECLARE_RESULT_512(0, 3); for (k = 0; k < K; k++) { BROADCAST_LOAD_A_512(x, 0); BROADCAST_LOAD_A_512(x, 1); BROADCAST_LOAD_A_512(x, 2); BROADCAST_LOAD_A_512(x, 3); LOAD_B_512(0, x); MATMUL_512(0, 0); MATMUL_512(0, 1); MATMUL_512(0, 2); MATMUL_512(0, 3); } STORE_512(0, 0); STORE_512(0, 1); STORE_512(0, 2); STORE_512(0, 3); } for (; j < n8; j+= 8) { DECLARE_RESULT_256(0, 0); DECLARE_RESULT_256(0, 1); DECLARE_RESULT_256(0, 2); DECLARE_RESULT_256(0, 3); for (k = 0; k < K; k++) { BROADCAST_LOAD_A_256(x, 0); BROADCAST_LOAD_A_256(x, 1); BROADCAST_LOAD_A_256(x, 2); BROADCAST_LOAD_A_256(x, 3); LOAD_B_256(0, x); MATMUL_256(0, 0); MATMUL_256(0, 1); MATMUL_256(0, 2); MATMUL_256(0, 3); } STORE_256(0, 0); STORE_256(0, 1); STORE_256(0, 2); STORE_256(0, 3); } for (; j < n4; j+= 4) { DECLARE_RESULT_128(0, 0); DECLARE_RESULT_128(0, 1); DECLARE_RESULT_128(0, 2); DECLARE_RESULT_128(0, 3); for (k = 0; k < K; k++) { BROADCAST_LOAD_A_128(x, 0); BROADCAST_LOAD_A_128(x, 1); BROADCAST_LOAD_A_128(x, 2); BROADCAST_LOAD_A_128(x, 3); LOAD_B_128(0, x); MATMUL_128(0, 0); MATMUL_128(0, 1); MATMUL_128(0, 2); MATMUL_128(0, 3); } STORE_128(0, 0); STORE_128(0, 1); STORE_128(0, 2); STORE_128(0, 3); } for (; j < n2; j+= 2) { DECLARE_RESULT_SCALAR(0, 0); DECLARE_RESULT_SCALAR(1, 0); DECLARE_RESULT_SCALAR(0, 1); DECLARE_RESULT_SCALAR(1, 1); DECLARE_RESULT_SCALAR(0, 2); DECLARE_RESULT_SCALAR(1, 2); DECLARE_RESULT_SCALAR(0, 3); DECLARE_RESULT_SCALAR(1, 3); for (k = 0; k < K; k++) { BROADCAST_LOAD_A_SCALAR(x, 0); BROADCAST_LOAD_A_SCALAR(x, 1); BROADCAST_LOAD_A_SCALAR(x, 2); BROADCAST_LOAD_A_SCALAR(x, 3); LOAD_B_SCALAR(0, x); LOAD_B_SCALAR(1, x); MATMUL_SCALAR(0, 0); MATMUL_SCALAR(1, 0); MATMUL_SCALAR(0, 1); MATMUL_SCALAR(1, 1); MATMUL_SCALAR(0, 2); MATMUL_SCALAR(1, 2); MATMUL_SCALAR(0, 3); MATMUL_SCALAR(1, 3); } STORE_SCALAR(0, 0); STORE_SCALAR(1, 0); STORE_SCALAR(0, 1); STORE_SCALAR(1, 1); STORE_SCALAR(0, 2); STORE_SCALAR(1, 2); STORE_SCALAR(0, 3); STORE_SCALAR(1, 3); } for (; j < N; j++) { DECLARE_RESULT_SCALAR(0, 0) DECLARE_RESULT_SCALAR(0, 1) DECLARE_RESULT_SCALAR(0, 2) DECLARE_RESULT_SCALAR(0, 3) for (k = 0; k < K; k++) { BROADCAST_LOAD_A_SCALAR(0, 0); BROADCAST_LOAD_A_SCALAR(0, 1); BROADCAST_LOAD_A_SCALAR(0, 2); BROADCAST_LOAD_A_SCALAR(0, 3); LOAD_B_SCALAR(0, 0); MATMUL_SCALAR(0, 0); MATMUL_SCALAR(0, 1); MATMUL_SCALAR(0, 2); MATMUL_SCALAR(0, 3); } STORE_SCALAR(0, 0); STORE_SCALAR(0, 1); STORE_SCALAR(0, 2); STORE_SCALAR(0, 3); } } for (; i < m2; i+=2) { j = 0; for (; j < n64; j+= 64) { DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0); DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1); for (k = 0; k < K; k++) { BROADCAST_LOAD_A_512(x, 0); BROADCAST_LOAD_A_512(x, 1); LOAD_B_512(0, x); LOAD_B_512(1, x); LOAD_B_512(2, x); LOAD_B_512(3, x); MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0); MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1); } STORE_512(0, 0); STORE_512(1, 0); STORE_512(2, 0); STORE_512(3, 0); STORE_512(0, 1); STORE_512(1, 1); STORE_512(2, 1); STORE_512(3, 1); } for (; j < n32; j+= 32) { DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); for (k = 0; k < K; k++) { BROADCAST_LOAD_A_512(x, 0); BROADCAST_LOAD_A_512(x, 1); LOAD_B_512(0, x); LOAD_B_512(1, x); MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(0, 1); MATMUL_512(1, 1); } STORE_512(0, 0); STORE_512(1, 0); STORE_512(0, 1); STORE_512(1, 1); } for (; j < n16; j+= 16) { DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(0, 1); for (k = 0; k < K; k++) { BROADCAST_LOAD_A_512(x, 0); BROADCAST_LOAD_A_512(x, 1); LOAD_B_512(0, x); MATMUL_512(0, 0); MATMUL_512(0, 1); } STORE_512(0, 0); STORE_512(0, 1); } for (; j < n8; j+= 8) { DECLARE_RESULT_256(0, 0); DECLARE_RESULT_256(0, 1); for (k = 0; k < K; k++) { BROADCAST_LOAD_A_256(x, 0); BROADCAST_LOAD_A_256(x, 1); LOAD_B_256(0, x); MATMUL_256(0, 0); MATMUL_256(0, 1); } STORE_256(0, 0); STORE_256(0, 1); } for (; j < n4; j+= 4) { DECLARE_RESULT_128(0, 0); DECLARE_RESULT_128(0, 1); for (k = 0; k < K; k++) { BROADCAST_LOAD_A_128(x, 0); BROADCAST_LOAD_A_128(x, 1); LOAD_B_128(0, x); MATMUL_128(0, 0); MATMUL_128(0, 1); } STORE_128(0, 0); STORE_128(0, 1); } for (; j < n2; j+= 2) { DECLARE_RESULT_SCALAR(0, 0); DECLARE_RESULT_SCALAR(1, 0); DECLARE_RESULT_SCALAR(0, 1); DECLARE_RESULT_SCALAR(1, 1); for (k = 0; k < K; k++) { BROADCAST_LOAD_A_SCALAR(x, 0); BROADCAST_LOAD_A_SCALAR(x, 1); LOAD_B_SCALAR(0, x); LOAD_B_SCALAR(1, x); MATMUL_SCALAR(0, 0); MATMUL_SCALAR(1, 0); MATMUL_SCALAR(0, 1); MATMUL_SCALAR(1, 1); } STORE_SCALAR(0, 0); STORE_SCALAR(1, 0); STORE_SCALAR(0, 1); STORE_SCALAR(1, 1); } for (; j < N; j++) { DECLARE_RESULT_SCALAR(0, 0); DECLARE_RESULT_SCALAR(0, 1); for (k = 0; k < K; k++) { BROADCAST_LOAD_A_SCALAR(0, 0); BROADCAST_LOAD_A_SCALAR(0, 1); LOAD_B_SCALAR(0, 0); MATMUL_SCALAR(0, 0); MATMUL_SCALAR(0, 1); } STORE_SCALAR(0, 0); STORE_SCALAR(0, 1); } } for (; i < M; i+=1) { j = 0; for (; j < n64; j+= 64) { DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0); for (k = 0; k < K; k++) { BROADCAST_LOAD_A_512(x, 0); LOAD_B_512(0, x); LOAD_B_512(1, x); LOAD_B_512(2, x); LOAD_B_512(3, x); MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0); } STORE_512(0, 0); STORE_512(1, 0); STORE_512(2, 0); STORE_512(3, 0); } for (; j < n32; j+= 32) { DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); for (k = 0; k < K; k++) { BROADCAST_LOAD_A_512(x, 0); LOAD_B_512(0, x); LOAD_B_512(1, x); MATMUL_512(0, 0); MATMUL_512(1, 0); } STORE_512(0, 0); STORE_512(1, 0); } for (; j < n16; j+= 16) { DECLARE_RESULT_512(0, 0); for (k = 0; k < K; k++) { BROADCAST_LOAD_A_512(x, 0); LOAD_B_512(0, x); MATMUL_512(0, 0); } STORE_512(0, 0); } for (; j < n8; j+= 8) { DECLARE_RESULT_256(0, 0); for (k = 0; k < K; k++) { BROADCAST_LOAD_A_256(x, 0); LOAD_B_256(0, x); MATMUL_256(0, 0); } STORE_256(0, 0); } for (; j < n4; j+= 4) { DECLARE_RESULT_128(0, 0); for (k = 0; k < K; k++) { BROADCAST_LOAD_A_128(x, 0); LOAD_B_128(0, x); MATMUL_128(0, 0); } STORE_128(0, 0); } for (; j < n2; j+= 2) { DECLARE_RESULT_SCALAR(0, 0); DECLARE_RESULT_SCALAR(1, 0); for (k = 0; k < K; k++) { BROADCAST_LOAD_A_SCALAR(x, 0); LOAD_B_SCALAR(0, 0); LOAD_B_SCALAR(1, 0); MATMUL_SCALAR(0, 0); MATMUL_SCALAR(1, 0); } STORE_SCALAR(0, 0); STORE_SCALAR(1, 0); } for (; j < N; j++) { DECLARE_RESULT_SCALAR(0, 0); for (k = 0; k < K; k++) { BROADCAST_LOAD_A_SCALAR(0, 0); LOAD_B_SCALAR(0, 0); MATMUL_SCALAR(0, 0); } STORE_SCALAR(0, 0); } } } #else void CNAME (BLASLONG M, BLASLONG N, BLASLONG K, float * __restrict A, BLASLONG strideA, float * __restrict B, BLASLONG strideB , float * __restrict R, BLASLONG strideR) {} #endif