OpenBLAS/kernel/x86_64/dgemm_small_kernel_nn_skylakex.c

/***************************************************************************
Copyright (c) 2021, The OpenBLAS Project
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notice, this list of conditions and the following disclaimer in
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its contributors may be used to endorse or promote products
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AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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#if (( defined(__GNUC__)  && __GNUC__   > 6 && defined(__AVX512CD__)) || (defined(__clang__) && __clang_major__ >= 9))

#include <immintrin.h>
#include "common.h"
#include <stdio.h>
#include <memory.h>

#define DECLARE_RESULT_512(M, N) __m512d result##M##N = _mm512_setzero_pd()
#define LOAD_A_512(M, N) __m512d Aval##M = _mm512_loadu_pd(&A[lda * k + i + (M*8)])
#define MASK_LOAD_A_512(M, N) __m512d Aval##M = _mm512_maskz_loadu_pd(mask, &A[lda * k + i + (M*8)])
#define BROADCAST_LOAD_B_512(M, N) __m512d Bval##N = _mm512_broadcastsd_pd(_mm_load_pd1(&B[k + ldb * (j+N)]))
#define MATMUL_512(M, N) result##M##N = _mm512_fmadd_pd(Aval##M, Bval##N, result##M##N)
#if defined(B0)
#define STORE_512(M, N) result##M##N = _mm512_mul_pd(result##M##N, alpha_512); \
			_mm512_storeu_pd(&C[(j+N)*ldc + i + (M*8)], result##M##N)
#define MASK_STORE_512(M, N) result##M##N = _mm512_mul_pd(result##M##N, alpha_512); \
			_mm512_mask_storeu_pd(&C[(j+N)*ldc + i + (M*8)], mask, result##M##N)
#else
#define STORE_512(M, N) \
	result##M##N = _mm512_mul_pd(result##M##N, alpha_512); \
	asm("vfmadd231pd (%1), %2, %0": "+v"(result##M##N):"r"(&C[(j+N)*ldc + i + (M*8)]), "v"(beta_512)); \
	_mm512_storeu_pd(&C[(j+N)*ldc + i + (M*8)], result##M##N)
#define MASK_STORE_512(M, N) \
	result##M##N = _mm512_mul_pd(result##M##N, alpha_512); \
	asm("vfmadd231pd (%1), %2, %0 %{%3%}": "+v"(result##M##N):"r"(&C[(j+N)*ldc + i + (M*8)]), "v"(beta_512), "Yk"(mask)); \
	_mm512_mask_storeu_pd(&C[(j+N)*ldc + i + (M*8)], mask, result##M##N)
#endif

#define LOAD_KA_512(M, N) __m512d Aval##M = _mm512_loadu_pd(&mbuf[(mi + M)*K + k]);
#define LOAD_KB_512(M, N) __m512d Bval##N = _mm512_loadu_pd(&B[(j + N)*ldb + k])
#define MASK_LOAD_KA_512(M, N) __m512d Aval##M = _mm512_maskz_loadu_pd(mask, &mbuf[(mi + M)*K + k])
#define MASK_LOAD_KB_512(M, N) __m512d Bval##N = _mm512_maskz_loadu_pd(mask, &B[(j + N)*ldb + k])
#define REDUCE_4(rr0, rr1, rr2, rr3) \
	__m512d r0, r1, r2, r3, t0, t1, t2, t3;\
	r0 = _mm512_unpacklo_pd(rr0, rr1); r1 = _mm512_unpackhi_pd(rr0, rr1); \
	r2 = _mm512_unpacklo_pd(rr2, rr3); r3 = _mm512_unpackhi_pd(rr2, rr3); \
	t0 = _mm512_permutex2var_pd(r0, idx_lo, r2); t1 = _mm512_permutex2var_pd(r1, idx_lo, r3); \
	t2 = _mm512_permutex2var_pd(r0, idx_hi, r2); t3 = _mm512_permutex2var_pd(r1, idx_hi, r3); \
	r0 = _mm512_add_pd(t0, t1); r1 = _mm512_add_pd(t2, t3); t0 = _mm512_add_pd(r0, r1); \
	__m256d s0, s1; \
	s0 = _mm512_extractf64x4_pd(t0, 0); s1 = _mm512_extractf64x4_pd(t0, 1); \
	s0 = _mm256_add_pd(s0, s1); s0 = _mm256_mul_pd(alpha_256, s0);
#define REDUCE_M4(N) REDUCE_4(result0##N, result1##N, result2##N, result3##N)
#define REDUCE_N4(M) REDUCE_4(result##M##0, result##M##1, result##M##2, result##M##3)
#if defined(B0)
#define STORE_REDUCE(M, N) C[(j+N)*ldc + i + M] = alpha * _mm512_reduce_add_pd(result##M##N);
#define STORE_REDUCE_M4(N) {\
	REDUCE_M4(N) \
	_mm256_storeu_pd(&C[(j + N)*ldc + i], s0); \
}
#define STORE_REDUCE_N4(M) {\
	REDUCE_N4(M) \
	_mm256_i64scatter_pd(&C[j*ldc + i + M], vindex_n, s0, 8); \
}
#else
#define STORE_REDUCE(M, N) C[(j+N)*ldc + i + M] = alpha * _mm512_reduce_add_pd(result##M##N) + beta * C[(j+N)*ldc + i + M];
#define STORE_REDUCE_M4(N) {\
	REDUCE_M4(N) \
	asm("vfmadd231pd (%1), %2, %0": "+v"(s0):"r"(&C[(j + N)*ldc + i]), "v"(beta_256)); \
	_mm256_storeu_pd(&C[(j + N)*ldc + i], s0); \
}
#define STORE_REDUCE_N4(M) {\
	REDUCE_N4(M) \
	s1 = _mm256_i64gather_pd(&C[j*ldc + i + M], vindex_n, 8); \
	s0 = _mm256_fmadd_pd(s1, beta_256, s0); \
	_mm256_i64scatter_pd(&C[j*ldc + i + M], vindex_n, s0, 8); \
}
#endif

#if defined(B0)
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha, FLOAT * B, BLASLONG ldb, FLOAT * C, BLASLONG ldc)
#else
int CNAME(BLASLONG M, BLASLONG N, BLASLONG K, FLOAT * A, BLASLONG lda, FLOAT alpha, FLOAT * B, BLASLONG ldb, FLOAT beta, FLOAT * C, BLASLONG ldc)
#endif
{
	// column major
	BLASLONG i, j, k;

	BLASLONG m32 = M & ~31;
	BLASLONG m16 = M & ~15;
	BLASLONG m8 = M & ~7;
	BLASLONG m4 = M & ~3;
	BLASLONG m2 = M & ~1;

	BLASLONG n6 = N - (N % 6);
	BLASLONG n4 = N & ~3;
	BLASLONG n2 = N & ~1;


	__m512d alpha_512 = _mm512_broadcastsd_pd(_mm_load_pd1(&alpha));
#if !defined(B0)
	__m512d beta_512 = _mm512_broadcastsd_pd(_mm_load_pd1(&beta));
#endif

	for (i = 0; i < m32; i += 32) {
		for (j = 0; j < n4; j += 4) {
			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++) {
				LOAD_A_512(0, x); LOAD_A_512(1, x); LOAD_A_512(2, x); LOAD_A_512(3, x);

				BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
				BROADCAST_LOAD_B_512(x, 2); BROADCAST_LOAD_B_512(x, 3);

				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 < n2; j += 2) {
			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++) {
				LOAD_A_512(0, x); LOAD_A_512(1, x); LOAD_A_512(2, x); LOAD_A_512(3, x);
				BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
				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 < N; j++) {
			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++) {
				LOAD_A_512(0, x); LOAD_A_512(1, x); LOAD_A_512(2, x); LOAD_A_512(3, x);
				BROADCAST_LOAD_B_512(x, 0);
				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 (; i < m16; i += 16) {
		for (j = 0; j < n6; j += 6) {
			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);
			DECLARE_RESULT_512(0, 4); DECLARE_RESULT_512(1, 4);
			DECLARE_RESULT_512(0, 5); DECLARE_RESULT_512(1, 5);
			for (k = 0; k < K; k++) {
				LOAD_A_512(0, x); LOAD_A_512(1, x);
				BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
				BROADCAST_LOAD_B_512(x, 2); BROADCAST_LOAD_B_512(x, 3);
				BROADCAST_LOAD_B_512(x, 4); BROADCAST_LOAD_B_512(x, 5);

				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);
				MATMUL_512(0, 4); MATMUL_512(1, 4);
				MATMUL_512(0, 5); MATMUL_512(1, 5);
			}
			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);
			STORE_512(0, 4); STORE_512(1, 4);
			STORE_512(0, 5); STORE_512(1, 5);
		}
		for (; j < n2; j += 2) {
			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++) {
				LOAD_A_512(0, x); LOAD_A_512(1, x);
				BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
				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 < N; j++) {
			DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
			for (k = 0; k < K; k++) {
				LOAD_A_512(0, x); LOAD_A_512(1, x);
				BROADCAST_LOAD_B_512(x, 0);
				MATMUL_512(0, 0); MATMUL_512(1, 0);
			}
			STORE_512(0, 0); STORE_512(1, 0);
		}
	}
	for (; i < m8; i += 8) {
		for (j = 0; j < n6; j += 6) {
			DECLARE_RESULT_512(0, 0);
			DECLARE_RESULT_512(0, 1);
			DECLARE_RESULT_512(0, 2);
			DECLARE_RESULT_512(0, 3);
			DECLARE_RESULT_512(0, 4);
			DECLARE_RESULT_512(0, 5);
			for (k = 0; k < K; k++) {
				LOAD_A_512(0, x);
				BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
				BROADCAST_LOAD_B_512(x, 2); BROADCAST_LOAD_B_512(x, 3);
				BROADCAST_LOAD_B_512(x, 4); BROADCAST_LOAD_B_512(x, 5);

				MATMUL_512(0, 0);
				MATMUL_512(0, 1);
				MATMUL_512(0, 2);
				MATMUL_512(0, 3);
				MATMUL_512(0, 4);
				MATMUL_512(0, 5);
			}
			STORE_512(0, 0);
			STORE_512(0, 1);
			STORE_512(0, 2);
			STORE_512(0, 3);
			STORE_512(0, 4);
			STORE_512(0, 5);
		}
		for (; j < n2; j += 2) {
			DECLARE_RESULT_512(0, 0);
			DECLARE_RESULT_512(0, 1);
			for (k = 0; k < K; k++) {
				LOAD_A_512(0, x);
				BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
				MATMUL_512(0, 0);
				MATMUL_512(0, 1);
			}
			STORE_512(0, 0);
			STORE_512(0, 1);
		}
		for (; j < N; j++) {
			DECLARE_RESULT_512(0, 0);
			for (k = 0; k < K; k++) {
				LOAD_A_512(0, x);
				BROADCAST_LOAD_B_512(x, 0);
				MATMUL_512(0, 0);
			}
			STORE_512(0, 0);
		}
	}
	int mm = M - i;
	if (!mm) return 0;
	if (mm > 4 || K < 16) {
		register __mmask8 mask = (1UL << mm) - 1;
		for (j = 0; j < n6; j += 6) {
			DECLARE_RESULT_512(0, 0);
			DECLARE_RESULT_512(0, 1);
			DECLARE_RESULT_512(0, 2);
			DECLARE_RESULT_512(0, 3);
			DECLARE_RESULT_512(0, 4);
			DECLARE_RESULT_512(0, 5);
			for (k = 0; k < K; k++) {
				MASK_LOAD_A_512(0, x);
				BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
				BROADCAST_LOAD_B_512(x, 2); BROADCAST_LOAD_B_512(x, 3);
				BROADCAST_LOAD_B_512(x, 4); BROADCAST_LOAD_B_512(x, 5);

				MATMUL_512(0, 0);
				MATMUL_512(0, 1);
				MATMUL_512(0, 2);
				MATMUL_512(0, 3);
				MATMUL_512(0, 4);
				MATMUL_512(0, 5);
			}
			MASK_STORE_512(0, 0);
			MASK_STORE_512(0, 1);
			MASK_STORE_512(0, 2);
			MASK_STORE_512(0, 3);
			MASK_STORE_512(0, 4);
			MASK_STORE_512(0, 5);
		}
		for (; j < n2; j += 2) {
			DECLARE_RESULT_512(0, 0);
			DECLARE_RESULT_512(0, 1);
			for (k = 0; k < K; k++) {
				MASK_LOAD_A_512(0, x);
				BROADCAST_LOAD_B_512(x, 0); BROADCAST_LOAD_B_512(x, 1);
				MATMUL_512(0, 0);
				MATMUL_512(0, 1);
			}
			MASK_STORE_512(0, 0);
			MASK_STORE_512(0, 1);
		}
		for (; j < N; j++) {
			DECLARE_RESULT_512(0, 0);
			for (k = 0; k < K; k++) {
				MASK_LOAD_A_512(0, x);
				BROADCAST_LOAD_B_512(x, 0);
				MATMUL_512(0, 0);
			}
			MASK_STORE_512(0, 0);
		}
	} else {
		/* M => [1, 4]
		 *
		 * This kernel use dot-like style to calc a value - C(x, y):
		 * C(x, y) = A(x, 0)*B(0, y) + A(x, 1)*B(1, y) +....+ A(x, K)*B(K, y)
		 *
		 * Alloc a buf to copy rest of A as row major,
		 * so memory access from 0 to K is continuous for both A & B.
		 *
		 * Loading to zmm and FMA 8 of k at one loop,
		 * finally reduce_add zmm to a single float result in C(x, y).
		 *
		 * Note: performance is bad when K is small.
		 */
		FLOAT *mbuf = (FLOAT *) malloc(sizeof(FLOAT)*mm*K);
		__mmask8 mask = (1UL << mm) - 1;
		BLASLONG k8 = K & ~7;
		BLASLONG k4 = K & ~3;
		for (k = 0; k < k4; k += 4) {
			__m256d  r0, r1, r2, r3;
			__m256d  t0, t1, t2, t3;
			r0 = _mm256_maskz_loadu_pd(mask, &A[i + lda*(0 + k)]);
			r1 = _mm256_maskz_loadu_pd(mask, &A[i + lda*(1 + k)]);
			r2 = _mm256_maskz_loadu_pd(mask, &A[i + lda*(2 + k)]);
			r3 = _mm256_maskz_loadu_pd(mask, &A[i + lda*(3 + k)]);

			t0 = _mm256_unpacklo_pd(r0, r1);
			t1 = _mm256_unpackhi_pd(r0, r1);
			t2 = _mm256_unpacklo_pd(r2, r3);
			t3 = _mm256_unpackhi_pd(r2, r3);

			r0 = _mm256_permute2f128_pd(t0, t2, 0x20);
			r1 = _mm256_permute2f128_pd(t1, t3, 0x20);
			r2 = _mm256_permute2f128_pd(t0, t2, 0x31);
			r3 = _mm256_permute2f128_pd(t1, t3, 0x31);

			switch (mm) {
				case 4: _mm256_storeu_pd(&mbuf[k + 3*K], r3);
				case 3: _mm256_storeu_pd(&mbuf[k + 2*K], r2);
				case 2: _mm256_storeu_pd(&mbuf[k + 1*K], r1);
				case 1: _mm256_storeu_pd(&mbuf[k + 0*K], r0);
			}
		}
		for (; k < K; k++) {
			for (int ii = 0; ii < mm; ii++) {
				mbuf[k + ii*K] = A[i + lda*k + ii];
			}
		}
		int mi = 0;
		__m256d alpha_256 = _mm256_broadcast_sd(&alpha);
#if !defined(B0)
		__m256d beta_256 = _mm256_broadcast_sd(&beta);
#endif
		__m256i vindex_n = _mm256_set_epi64x(ldc*3, ldc*2, ldc*1, 0);
		long long permute_table[] = {
			0, 1, 0|8, 1|8, 4, 5, 4|8, 5|8,
			2, 3, 2|8, 3|8, 6, 7, 6|8, 7|8,
		};
		__m512i idx_lo = _mm512_loadu_si512(permute_table);
		__m512i idx_hi = _mm512_loadu_si512(permute_table + 8);
		for (; i < m4; i += 4, mi += 4) {
			for (j = 0; j < n4; j += 4) {
				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 < k8; k += 8) {
					LOAD_KA_512(0, x); LOAD_KA_512(1, x); LOAD_KA_512(2, x); LOAD_KA_512(3, x);
					LOAD_KB_512(x, 0); LOAD_KB_512(x, 1); LOAD_KB_512(x, 2); LOAD_KB_512(x, 3);

					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);
				}
				int remains = K - k;
				if (remains) {
					mask = (1UL << remains) - 1;
					MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x); MASK_LOAD_KA_512(2, x); MASK_LOAD_KA_512(3, x);
					MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1); MASK_LOAD_KB_512(x, 2); MASK_LOAD_KB_512(x, 3);

					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_REDUCE_M4(0); STORE_REDUCE_M4(1); STORE_REDUCE_M4(2); STORE_REDUCE_M4(3);
			}
			for (; j < n2; j += 2) {
				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 < k8; k += 8) {
					LOAD_KA_512(0, x); LOAD_KA_512(1, x); LOAD_KA_512(2, x); LOAD_KA_512(3, x);
					LOAD_KB_512(x, 0); LOAD_KB_512(x, 1);

					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);
				}
				int remains = K - k;
				if (remains) {
					mask = (1UL << remains) - 1;
					MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x); MASK_LOAD_KA_512(2, x); MASK_LOAD_KA_512(3, x);
					MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1);

					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_REDUCE_M4(0); STORE_REDUCE_M4(1);
			}
			for (; j < N; j += 1) {
				DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
				for (k = 0; k < k8; k += 8) {
					LOAD_KA_512(0, x); LOAD_KA_512(1, x); LOAD_KA_512(2, x); LOAD_KA_512(3, x);
					LOAD_KB_512(x, 0);

					MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
				}
				int remains = K - k;
				if (remains) {
					mask = (1UL << remains) - 1;
					MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x); MASK_LOAD_KA_512(2, x); MASK_LOAD_KA_512(3, x);
					MASK_LOAD_KB_512(x, 0);

					MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
				}
				STORE_REDUCE_M4(0);
			}

		}
		for (; i < m2; i += 2, mi += 2) {
			for (j = 0; j < n4; j += 4) {
				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 < k8; k += 8) {
					LOAD_KA_512(0, x); LOAD_KA_512(1, x);
					LOAD_KB_512(x, 0); LOAD_KB_512(x, 1); LOAD_KB_512(x, 2); LOAD_KB_512(x, 3);

					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);
				}
				int remains = K - k;
				if (remains) {
					mask = (1UL << remains) - 1;
					MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x);
					MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1); MASK_LOAD_KB_512(x, 2); MASK_LOAD_KB_512(x, 3);

					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_REDUCE_N4(0); STORE_REDUCE_N4(1);
			}
			for (; j < n2; j += 2) {
				DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
				DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1);
				for (k = 0; k < k8; k += 8) {
					LOAD_KA_512(0, x); LOAD_KA_512(1, x);
					LOAD_KB_512(x, 0); LOAD_KB_512(x, 1);

					MATMUL_512(0, 0); MATMUL_512(1, 0);
					MATMUL_512(0, 1); MATMUL_512(1, 1);
				}
				int remains = K - k;
				if (remains) {
					mask = (1UL << remains) - 1;
					MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x);
					MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1);

					MATMUL_512(0, 0); MATMUL_512(1, 0);
					MATMUL_512(0, 1); MATMUL_512(1, 1);
				}
				STORE_REDUCE(0, 0); STORE_REDUCE(1, 0);
				STORE_REDUCE(0, 1); STORE_REDUCE(1, 1);

			}
			for (; j < N; j += 1) {
				DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
				for (k = 0; k < k8; k += 8) {
					LOAD_KA_512(0, x); LOAD_KA_512(1, x);
					LOAD_KB_512(x, 0);

					MATMUL_512(0, 0); MATMUL_512(1, 0);
				}
				int remains = K - k;
				if (remains) {
					mask = (1UL << remains) - 1;
					MASK_LOAD_KA_512(0, x); MASK_LOAD_KA_512(1, x);
					MASK_LOAD_KB_512(x, 0);

					MATMUL_512(0, 0); MATMUL_512(1, 0);
				}
				STORE_REDUCE(0, 0); STORE_REDUCE(1, 0);
			}
		}
		for (; i < M; i += 1, mi += 1) {
			for (j = 0; j < n4; j += 4) {
				DECLARE_RESULT_512(0, 0);
				DECLARE_RESULT_512(0, 1);
				DECLARE_RESULT_512(0, 2);
				DECLARE_RESULT_512(0, 3);
				for (k = 0; k < k8; k += 8) {
					LOAD_KA_512(0, x);
					LOAD_KB_512(x, 0); LOAD_KB_512(x, 1); LOAD_KB_512(x, 2); LOAD_KB_512(x, 3);

					MATMUL_512(0, 0);
					MATMUL_512(0, 1);
					MATMUL_512(0, 2);
					MATMUL_512(0, 3);
				}
				int remains = K - k;
				if (remains) {
					mask = (1UL << remains) - 1;
					MASK_LOAD_KA_512(0, x);
					MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1); MASK_LOAD_KB_512(x, 2); MASK_LOAD_KB_512(x, 3);


					MATMUL_512(0, 0);
					MATMUL_512(0, 1);
					MATMUL_512(0, 2);
					MATMUL_512(0, 3);
				}
				STORE_REDUCE_N4(0);
			}
			for (; j < n2; j += 2) {
				DECLARE_RESULT_512(0, 0);
				DECLARE_RESULT_512(0, 1);
				for (k = 0; k < k8; k += 8) {
					LOAD_KA_512(0, x);
					LOAD_KB_512(x, 0); LOAD_KB_512(x, 1);

					MATMUL_512(0, 0);
					MATMUL_512(0, 1);
				}
				int remains = K - k;
				if (remains) {
					mask = (1UL << remains) - 1;
					MASK_LOAD_KA_512(0, x);
					MASK_LOAD_KB_512(x, 0); MASK_LOAD_KB_512(x, 1);

					MATMUL_512(0, 0);
					MATMUL_512(0, 1);
				}
				STORE_REDUCE(0, 0);
				STORE_REDUCE(0, 1);

			}
			for (; j < N; j += 1) {
				DECLARE_RESULT_512(0, 0);
				for (k = 0; k < k8; k += 8) {
					LOAD_KA_512(0, x);
					LOAD_KB_512(x, 0);

					MATMUL_512(0, 0);
				}
				int remains = K - k;
				if (remains) {
					mask = (1UL << remains) - 1;
					MASK_LOAD_KA_512(0, x);
					MASK_LOAD_KB_512(x, 0);

					MATMUL_512(0, 0);
				}
				STORE_REDUCE(0, 0);
			}
		}
		free(mbuf);
	}
	return 0;
}
#else
#include "../generic/gemm_small_matrix_kernel_nn.c"
#endif