OpenBLAS/kernel/x86_64/sgemm_small_kernel_nn_skylakex.c

/***************************************************************************
Copyright (c) 2021, The OpenBLAS Project
All rights reserved.
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modification, are permitted provided that the following conditions are
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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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#ifdef __NVCOMPILER
#define NVCOMPVERS ( __NVCOMPILER_MAJOR__ * 100 + __NVCOMPILER_MINOR__ )
#endif
#if (( defined(__GNUC__)  && __GNUC__   > 6 && defined(__AVX512CD__)) || (defined(__clang__) && __clang_major__ >= 9)) || (defined(__NVCOMPILER) && NVCOMPVERS >= 2203 )


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

#define DECLARE_RESULT_512(M, N) __m512 result##M##N = _mm512_setzero_ps()
#define LOAD_A_512(M, N) __m512 Aval##M = _mm512_loadu_ps(&A[lda * k + i + (M*16)])
#define MASK_LOAD_A_512(M, N) __m512 Aval##M = _mm512_maskz_loadu_ps(mask, &A[lda * k + i + (M*16)])
#define BROADCAST_LOAD_B_512(M, N) __m512 Bval##N = _mm512_broadcastss_ps(_mm_load_ss(&B[k + ldb * (j+N)]))
#define MATMUL_512(M, N) result##M##N = _mm512_fmadd_ps(Aval##M, Bval##N, result##M##N)
#if defined(B0)
#define STORE_512(M, N) result##M##N = _mm512_mul_ps(result##M##N, alpha_512); \
			_mm512_storeu_ps(&C[(j+N)*ldc + i + (M*16)], result##M##N)
#define MASK_STORE_512(M, N) result##M##N = _mm512_mul_ps(result##M##N, alpha_512); \
			_mm512_mask_storeu_ps(&C[(j+N)*ldc + i + (M*16)], mask, result##M##N)
#else
#define STORE_512(M, N) \
	result##M##N = _mm512_mul_ps(result##M##N, alpha_512); \
	asm("vfmadd231ps (%1), %2, %0": "+v"(result##M##N):"r"(&C[(j+N)*ldc + i + (M*16)]), "v"(beta_512)); \
	_mm512_storeu_ps(&C[(j+N)*ldc + i + (M*16)], result##M##N)
#define MASK_STORE_512(M, N) \
	result##M##N = _mm512_mul_ps(result##M##N, alpha_512); \
	asm("vfmadd231ps (%1), %2, %0 %{%3%}": "+v"(result##M##N):"r"(&C[(j+N)*ldc + i + (M*16)]), "v"(beta_512), "Yk"(mask)); \
	_mm512_mask_storeu_ps(&C[(j+N)*ldc + i + (M*16)], mask, result##M##N)
#endif

#define LOAD_KA_512(M, N) __m512 Aval##M = _mm512_loadu_ps(&mbuf[(mi + M)*K + k]);
#define LOAD_KB_512(M, N) __m512 Bval##N = _mm512_loadu_ps(&B[(j + N)*ldb + k])
#define MASK_LOAD_KA_512(M, N) __m512 Aval##M = _mm512_maskz_loadu_ps(mask, &mbuf[(mi + M)*K + k])
#define MASK_LOAD_KB_512(M, N) __m512 Bval##N = _mm512_maskz_loadu_ps(mask, &B[(j + N)*ldb + k])
#define REDUCE_4(rr0, rr1, rr2, rr3) \
	__m512 r0, r1, r2, r3, t0, t1, t2, t3;\
	r0 = _mm512_unpacklo_ps(rr0, rr1); r1 = _mm512_unpackhi_ps(rr0, rr1); \
	r2 = _mm512_unpacklo_ps(rr2, rr3); r3 = _mm512_unpackhi_ps(rr2, rr3); \
	t0 = _mm512_shuffle_ps(r0, r2, _MM_SHUFFLE(1, 0, 1, 0)); t1 = _mm512_shuffle_ps(r0, r2, _MM_SHUFFLE(3, 2, 3, 2)); \
	t2 = _mm512_shuffle_ps(r1, r3, _MM_SHUFFLE(1, 0, 1, 0)); t3 = _mm512_shuffle_ps(r1, r3, _MM_SHUFFLE(3, 2, 3, 2)); \
	r0 = _mm512_add_ps(t0, t1); r1 = _mm512_add_ps(t2, t3); t0 = _mm512_add_ps(r0, r1); \
	__m128 s0, s1, s2, s3; \
	s0 = _mm512_extractf32x4_ps(t0, 0); s1 = _mm512_extractf32x4_ps(t0, 1); s2 = _mm512_extractf32x4_ps(t0, 2); s3 = _mm512_extractf32x4_ps(t0, 3); \
	s0 = _mm_maskz_add_ps(mask8, s0, s1); s2 = _mm_maskz_add_ps(mask8, s2, s3); s0 = _mm_maskz_add_ps(mask8, s0, s2); \
	s0 = _mm_maskz_mul_ps(mask8, alpha_128, 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_ps(result##M##N);
#define STORE_REDUCE_M4(N) {\
	REDUCE_M4(N) \
	_mm_mask_storeu_ps(&C[(j + N)*ldc + i], mask8, s0); \
}
#define STORE_REDUCE_N4(M) {\
	REDUCE_N4(M) \
	_mm_i32scatter_ps(&C[j*ldc + i + M], vindex_n, s0, 4); \
}
#else
#define STORE_REDUCE(M, N) C[(j+N)*ldc + i + M] = alpha * _mm512_reduce_add_ps(result##M##N) + beta * C[(j+N)*ldc + i + M];
#define STORE_REDUCE_M4(N) {\
	REDUCE_M4(N) \
	asm("vfmadd231ps (%1), %2, %0": "+v"(s0):"r"(&C[(j + N)*ldc + i]), "v"(beta_128)); \
	_mm_mask_storeu_ps(&C[(j + N)*ldc + i], mask8, s0); \
}
#define STORE_REDUCE_N4(M) {\
	REDUCE_N4(M) \
	s1 = _mm_i32gather_ps(&C[j*ldc + i + M], vindex_n, 4); \
	s0 = _mm_fmadd_ps(s1, beta_128, s0); \
	_mm_i32scatter_ps(&C[j*ldc + i + M], vindex_n, s0, 4); \
}
#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 m64 = M & ~63;
	BLASLONG m32 = M & ~31;
	BLASLONG m16 = M & ~15;
	BLASLONG m4 = M & ~3;
	BLASLONG m2 = M & ~1;

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


	__m512 alpha_512 = _mm512_broadcastss_ps(_mm_load_ss(&alpha));
#if !defined(B0)
	__m512 beta_512 = _mm512_broadcastss_ps(_mm_load_ss(&beta));
#endif

	for (i = 0; i < m64; i += 64) {
		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 < m32; i += 32) {
		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 < m16; i += 16) {
		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 > 8 || K < 32) {
		register __mmask16 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, 8]
		 *
		 * 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 16 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 mask8 = (1UL << mm) - 1;
		__mmask16 mask;
		BLASLONG k16 = K & ~15;
		BLASLONG k8 = K & ~7;
		for (k = 0; k < k8; k += 8) {
			__m256  r0, r1, r2, r3, r4, r5, r6, r7;
			__m256  t0, t1, t2, t3, t4, t5, t6, t7;
			r0 = _mm256_maskz_loadu_ps(mask8, &A[i + lda*(0 + k)]);
			r1 = _mm256_maskz_loadu_ps(mask8, &A[i + lda*(1 + k)]);
			r2 = _mm256_maskz_loadu_ps(mask8, &A[i + lda*(2 + k)]);
			r3 = _mm256_maskz_loadu_ps(mask8, &A[i + lda*(3 + k)]);
			r4 = _mm256_maskz_loadu_ps(mask8, &A[i + lda*(4 + k)]);
			r5 = _mm256_maskz_loadu_ps(mask8, &A[i + lda*(5 + k)]);
			r6 = _mm256_maskz_loadu_ps(mask8, &A[i + lda*(6 + k)]);
			r7 = _mm256_maskz_loadu_ps(mask8, &A[i + lda*(7 + k)]);

			t0 = _mm256_unpacklo_ps(r0, r1);
			t1 = _mm256_unpackhi_ps(r0, r1);
			t2 = _mm256_unpacklo_ps(r2, r3);
			t3 = _mm256_unpackhi_ps(r2, r3);
			t4 = _mm256_unpacklo_ps(r4, r5);
			t5 = _mm256_unpackhi_ps(r4, r5);
			t6 = _mm256_unpacklo_ps(r6, r7);
			t7 = _mm256_unpackhi_ps(r6, r7);

			r0 = _mm256_shuffle_ps(t0,t2,_MM_SHUFFLE(1,0,1,0));
			r1 = _mm256_shuffle_ps(t0,t2,_MM_SHUFFLE(3,2,3,2));
			r2 = _mm256_shuffle_ps(t1,t3,_MM_SHUFFLE(1,0,1,0));
			r3 = _mm256_shuffle_ps(t1,t3,_MM_SHUFFLE(3,2,3,2));
			r4 = _mm256_shuffle_ps(t4,t6,_MM_SHUFFLE(1,0,1,0));
			r5 = _mm256_shuffle_ps(t4,t6,_MM_SHUFFLE(3,2,3,2));
			r6 = _mm256_shuffle_ps(t5,t7,_MM_SHUFFLE(1,0,1,0));
			r7 = _mm256_shuffle_ps(t5,t7,_MM_SHUFFLE(3,2,3,2));

			t0 = _mm256_permute2f128_ps(r0, r4, 0x20);
			t1 = _mm256_permute2f128_ps(r1, r5, 0x20);
			t2 = _mm256_permute2f128_ps(r2, r6, 0x20);
			t3 = _mm256_permute2f128_ps(r3, r7, 0x20);
			t4 = _mm256_permute2f128_ps(r0, r4, 0x31);
			t5 = _mm256_permute2f128_ps(r1, r5, 0x31);
			t6 = _mm256_permute2f128_ps(r2, r6, 0x31);
			t7 = _mm256_permute2f128_ps(r3, r7, 0x31);

			switch (mm) {
				case 8: _mm256_storeu_ps(&mbuf[k + 7*K], t7);
				case 7: _mm256_storeu_ps(&mbuf[k + 6*K], t6);
				case 6: _mm256_storeu_ps(&mbuf[k + 5*K], t5);
				case 5: _mm256_storeu_ps(&mbuf[k + 4*K], t4);
				case 4: _mm256_storeu_ps(&mbuf[k + 3*K], t3);
				case 3: _mm256_storeu_ps(&mbuf[k + 2*K], t2);
				case 2: _mm256_storeu_ps(&mbuf[k + 1*K], t1);
				case 1: _mm256_storeu_ps(&mbuf[k + 0*K], t0);
			}
		}
		for (; k < K; k++) {
			for (int ii = 0; ii < mm; ii++) {
				mbuf[k + ii*K] = A[i + lda*k + ii];
			}
		}
		int mi = 0;
		mask8 = 0xff;  // just use to avoid SSE instruction
		__m128 alpha_128 = _mm_broadcast_ss(&alpha);
#if !defined(B0)
		__m128 beta_128 = _mm_broadcast_ss(&beta);
#endif
		__m128i vindex_n = _mm_set_epi32(ldc*3, ldc*2, ldc, 0);
		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 < k16; k += 16) {
					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 < k16; k += 16) {
					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 < k16; k += 16) {
					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 < k16; k += 16) {
					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 < k16; k += 16) {
					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 < k16; k += 16) {
					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 < k16; k += 16) {
					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 < k16; k += 16) {
					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 < k16; k += 16) {
					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