OpenBLAS/kernel/x86_64/dgemm_small_kernel_tt_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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distribution.
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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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*****************************************************************************/

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

#define DECLARE_RESULT_512(M, N) __m512d result##M##N = _mm512_setzero_pd()
#define BROADCAST_LOAD_A_512(M, N) __m512d Aval##M = _mm512_broadcastsd_pd(_mm_load_sd(&A[k  + lda * (i+M)]))
#define LOAD_B_512(M,N)  __m512d Bval##N = _mm512_loadu_pd(&B[ldb * k + j + (N*8)])
#define MASK_LOAD_B_512(M, N) __m512d Bval##N = _mm512_maskz_loadu_pd(mask, &B[ldb * k + j + (N*8)])
#define MATMUL_512(M, N) result##M##N = _mm512_fmadd_pd(Aval##M, Bval##N, result##M##N)

#if defined(B0)
#define STORE_8xy(v, N, x, y) _mm512_storeu_pd(&C[(j + N*8 + x + y*8)*ldc + i], v)
#define STORE_4xy(v, N, x, y) _mm256_storeu_pd(&C[(j + N*8 + x + y*4)*ldc + i], v)
#define SCATTER_STORE_512(M, N) result##M##N = _mm512_mul_pd(result##M##N, alpha_512); \
				_mm512_i64scatter_pd(&C[(j + N*8)*ldc + i + M], vindex_n, result##M##N, 8);
#define MASK_SCATTER_STORE_512(M, N) result##M##N = _mm512_mul_pd(result##M##N, alpha_512); \
				    _mm512_mask_i64scatter_pd(&C[(j + N*8)*ldc + i + M], mask, vindex_n, result##M##N, 8);
#else
#define STORE_8xy(v, N, x, y) \
	asm("vfmadd231pd (%1), %2, %0": "+v"(v): "r"(&C[(j + N*8 + x + y*8)*ldc + i]), "v"(beta_512)); \
	_mm512_storeu_pd(&C[(j + N*8 + x + y*8)*ldc + i], v)
#define STORE_4xy(v, N, x, y) \
	asm("vfmadd231pd (%1), %2, %0": "+v"(v): "r"(&C[(j + N*8 + x + y*4)*ldc + i]), "v"(beta_256)); \
	_mm256_storeu_pd(&C[(j + N*8 + x + y*4)*ldc + i], v)
#define SCATTER_STORE_512(M, N) result##M##N = _mm512_mul_pd(result##M##N, alpha_512); \
				__m512d tmp##M##N = _mm512_i64gather_pd(vindex_n, &C[(j + N*8)*ldc + i + M], 8); \
				result##M##N = _mm512_fmadd_pd(tmp##M##N, beta_512, result##M##N); \
				_mm512_i64scatter_pd(&C[(j + N*8)*ldc + i + M], vindex_n, result##M##N, 8);
#define MASK_SCATTER_STORE_512(M, N) result##M##N = _mm512_mul_pd(result##M##N, alpha_512); \
				__m512d tmp##M##N = _mm512_mask_i64gather_pd(_mm512_setzero_pd(), mask, vindex_n, &C[(j + N*8)*ldc + i + M], 8); \
				result##M##N = _mm512_fmadd_pd(tmp##M##N, beta_512, result##M##N); \
				_mm512_mask_i64scatter_pd(&C[(j + N*8)*ldc + i + M], mask, vindex_n, result##M##N, 8);
#endif

#define REORDER_8x8(r0, r1, r2, r3, r4, r5, r6, r7) \
	__m512d t0, t1, t2, t3, t4, t5, t6, t7; \
	t0 = _mm512_unpacklo_pd(r0, r1); \
	t1 = _mm512_unpackhi_pd(r0, r1); \
	t2 = _mm512_unpacklo_pd(r2, r3); \
	t3 = _mm512_unpackhi_pd(r2, r3); \
	t4 = _mm512_unpacklo_pd(r4, r5); \
	t5 = _mm512_unpackhi_pd(r4, r5); \
	t6 = _mm512_unpacklo_pd(r6, r7); \
	t7 = _mm512_unpackhi_pd(r6, r7); \
	r0 = _mm512_shuffle_f64x2(t0, t2, 0x88); \
	r1 = _mm512_shuffle_f64x2(t1, t3, 0x88); \
	r2 = _mm512_shuffle_f64x2(t0, t2, 0xdd); \
	r3 = _mm512_shuffle_f64x2(t1, t3, 0xdd); \
	r4 = _mm512_shuffle_f64x2(t4, t6, 0x88); \
	r5 = _mm512_shuffle_f64x2(t5, t7, 0x88); \
	r6 = _mm512_shuffle_f64x2(t4, t6, 0xdd); \
	r7 = _mm512_shuffle_f64x2(t5, t7, 0xdd); \
	t0 = _mm512_permutex2var_pd(r0, idx_lo, r4); \
	t1 = _mm512_permutex2var_pd(r1, idx_lo, r5); \
	t2 = _mm512_permutex2var_pd(r2, idx_lo, r6); \
	t3 = _mm512_permutex2var_pd(r3, idx_lo, r7); \
	t4 = _mm512_permutex2var_pd(r0, idx_hi, r4); \
	t5 = _mm512_permutex2var_pd(r1, idx_hi, r5); \
	t6 = _mm512_permutex2var_pd(r2, idx_hi, r6); \
	t7 = _mm512_permutex2var_pd(r3, idx_hi, r7); \
	t0 = _mm512_mul_pd(t0, alpha_512); \
	t1 = _mm512_mul_pd(t1, alpha_512); \
	t2 = _mm512_mul_pd(t2, alpha_512); \
	t3 = _mm512_mul_pd(t3, alpha_512); \
	t4 = _mm512_mul_pd(t4, alpha_512); \
	t5 = _mm512_mul_pd(t5, alpha_512); \
	t6 = _mm512_mul_pd(t6, alpha_512); \
	t7 = _mm512_mul_pd(t7, alpha_512);

#define SAVE_8(N, x) {\
	STORE_8xy(t##x, N, x, 0); \
}

#define REORDER_STORE_8x8(N) {\
	REORDER_8x8(result0##N, result1##N, result2##N, result3##N, result4##N, result5##N, result6##N, result7##N); \
	SAVE_8(N, 0); SAVE_8(N, 1); SAVE_8(N, 2); SAVE_8(N, 3); SAVE_8(N, 4); SAVE_8(N, 5); SAVE_8(N, 6); SAVE_8(N, 7); \
}

#define MASK_SAVE_8() \
	switch (nn) { \
		case 8: SAVE_8(0, 7); \
		case 7: SAVE_8(0, 6); \
		case 6: SAVE_8(0, 5); \
		case 5: SAVE_8(0, 4); \
		case 4: SAVE_8(0, 3); \
		case 3: SAVE_8(0, 2); \
		case 2: SAVE_8(0, 1); \
		case 1: SAVE_8(0, 0); \
	}

#define MASK_REORDER_STORE_8x8(N) {\
	REORDER_8x8(result0##N, result1##N, result2##N, result3##N, result4##N, result5##N, result6##N, result7##N); \
	MASK_SAVE_8(); \
}

#define REORDER_4x8(r0, r1, r2, r3) \
	__m512d t0, t1, t2, t3; \
	t0 = _mm512_unpacklo_pd(r0, r1); \
	t1 = _mm512_unpackhi_pd(r0, r1); \
	t2 = _mm512_unpacklo_pd(r2, r3); \
	t3 = _mm512_unpackhi_pd(r2, r3); \
	r0 = _mm512_permutex2var_pd(t0, idx_lo, t2); \
	r1 = _mm512_permutex2var_pd(t1, idx_lo, t3); \
	r2 = _mm512_permutex2var_pd(t0, idx_hi, t2); \
	r3 = _mm512_permutex2var_pd(t1, idx_hi, t3); \
	t0 = _mm512_mul_pd(r0, alpha_512); \
	t1 = _mm512_mul_pd(r1, alpha_512); \
	t2 = _mm512_mul_pd(r2, alpha_512); \
	t3 = _mm512_mul_pd(r3, alpha_512);

#define SAVE_4(N, x, y) {\
	__m256d v4 = _mm512_extractf64x4_pd(t##x, y); \
	STORE_4xy(v4, N, x, y); \
}

#define REORDER_STORE_4x8(N) {\
	REORDER_4x8(result0##N, result1##N, result2##N, result3##N); \
	SAVE_4(N, 0, 0); SAVE_4(N, 1, 0); SAVE_4(N, 2, 0); SAVE_4(N, 3, 0); \
	SAVE_4(N, 0, 1); SAVE_4(N, 1, 1); SAVE_4(N, 2, 1); SAVE_4(N, 3, 1); \
}

#define MASK_SAVE_4() \
	switch (nn) { \
		case 8: SAVE_4(0, 3, 1); \
		case 7: SAVE_4(0, 2, 1); \
		case 6: SAVE_4(0, 1, 1); \
		case 5: SAVE_4(0, 0, 1); \
		case 4: SAVE_4(0, 3, 0); \
		case 3: SAVE_4(0, 2, 0); \
		case 2: SAVE_4(0, 1, 0); \
		case 1: SAVE_4(0, 0, 0); \
	}

#define MASK_REORDER_STORE_4x8(N) {\
	REORDER_4x8(result0##N, result1##N, result2##N, result3##N); \
	MASK_SAVE_4(); \
}


#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 m8 = M & ~7;
	BLASLONG m4 = M & ~3;
	BLASLONG m2 = M & ~1;

	BLASLONG n32 = N & ~31;
	BLASLONG n16 = N & ~15;

	__m512d alpha_512 = _mm512_broadcastsd_pd(_mm_load_sd(&alpha));
#if !defined(B0)
	__m512d beta_512 = _mm512_broadcastsd_pd(_mm_load_sd(&beta));
	__m256d beta_256 = _mm256_broadcastsd_pd(_mm_load_sd(&beta));
#endif
	long long permute_table[] = {
		0, 1, 4, 5, 0|8, 1|8, 4|8, 5|8,
		2, 3, 6, 7, 2|8, 3|8, 6|8, 7|8,
	};
	__m512i idx_lo = _mm512_loadu_si512(permute_table);
	__m512i idx_hi = _mm512_loadu_si512(permute_table + 8);

	for (i = 0; i < m8; i += 8) {
		for (j = 0; j < n16; j += 16) {
			DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
			DECLARE_RESULT_512(4, 0); DECLARE_RESULT_512(5, 0); DECLARE_RESULT_512(6, 0); DECLARE_RESULT_512(7, 0);

			DECLARE_RESULT_512(0, 1); DECLARE_RESULT_512(1, 1); DECLARE_RESULT_512(2, 1); DECLARE_RESULT_512(3, 1);
			DECLARE_RESULT_512(4, 1); DECLARE_RESULT_512(5, 1); DECLARE_RESULT_512(6, 1); DECLARE_RESULT_512(7, 1);
			for (k = 0; k < K; k++) {
				BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x); BROADCAST_LOAD_A_512(2, x); BROADCAST_LOAD_A_512(3, x);
				BROADCAST_LOAD_A_512(4, x); BROADCAST_LOAD_A_512(5, x); BROADCAST_LOAD_A_512(6, x); BROADCAST_LOAD_A_512(7, x);
				LOAD_B_512(x, 0); LOAD_B_512(x, 1);
				MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
				MATMUL_512(4, 0); MATMUL_512(5, 0); MATMUL_512(6, 0); MATMUL_512(7, 0);
				MATMUL_512(0, 1); MATMUL_512(1, 1); MATMUL_512(2, 1); MATMUL_512(3, 1);
				MATMUL_512(4, 1); MATMUL_512(5, 1); MATMUL_512(6, 1); MATMUL_512(7, 1);
			}
			REORDER_STORE_8x8(0);
			REORDER_STORE_8x8(1);
		}
		__mmask8 mask = 0xff;
		int nn = 8;
		for (; j < N; j += 8) {
			if (N - j < 8) {
				nn = N - j;
				mask = (1UL << nn) - 1;
			}
			DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0); DECLARE_RESULT_512(2, 0); DECLARE_RESULT_512(3, 0);
			DECLARE_RESULT_512(4, 0); DECLARE_RESULT_512(5, 0); DECLARE_RESULT_512(6, 0); DECLARE_RESULT_512(7, 0);
			for (k = 0; k < K; k++) {
				BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x); BROADCAST_LOAD_A_512(2, x); BROADCAST_LOAD_A_512(3, x);
				BROADCAST_LOAD_A_512(4, x); BROADCAST_LOAD_A_512(5, x); BROADCAST_LOAD_A_512(6, x); BROADCAST_LOAD_A_512(7, x);
				MASK_LOAD_B_512(x, 0);
				MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
				MATMUL_512(4, 0); MATMUL_512(5, 0); MATMUL_512(6, 0); MATMUL_512(7, 0);
			}
			MASK_REORDER_STORE_8x8(0);
		}
	}
	for (; i < m4; i += 4) {
		long long permute_table2[] = {
			0, 1, 0|8, 1|8, 4, 5, 4|8, 5|8,
			2, 3, 2|8, 3|8, 6, 7, 6|8, 7|8,
		};
		idx_lo = _mm512_loadu_si512(permute_table2);
		idx_hi = _mm512_loadu_si512(permute_table2 + 8);

		for (j = 0; j < n32; j += 32) {
			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(0, x); BROADCAST_LOAD_A_512(1, x); BROADCAST_LOAD_A_512(2, x); BROADCAST_LOAD_A_512(3, x);
				LOAD_B_512(x, 0); LOAD_B_512(x, 1); LOAD_B_512(x, 2); 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);
			}
			REORDER_STORE_4x8(0);
			REORDER_STORE_4x8(1);
			REORDER_STORE_4x8(2);
			REORDER_STORE_4x8(3);
		}
		for (; j < n16; j += 16) {
			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(0, x); BROADCAST_LOAD_A_512(1, x); BROADCAST_LOAD_A_512(2, x); BROADCAST_LOAD_A_512(3, x);
				LOAD_B_512(x, 0); 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);
			}
			REORDER_STORE_4x8(0);
			REORDER_STORE_4x8(1);
		}
		__mmask8 mask = 0xff;
		int nn = 8;
		for (; j < N; j += 8) {
			if (N - j < 8) {
				nn = N - j;
				mask = (1UL << nn) - 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 < K; k++) {
				BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x); BROADCAST_LOAD_A_512(2, x); BROADCAST_LOAD_A_512(3, x);
				MASK_LOAD_B_512(x, 0);
				MATMUL_512(0, 0); MATMUL_512(1, 0); MATMUL_512(2, 0); MATMUL_512(3, 0);
			}
			MASK_REORDER_STORE_4x8(0);
		}
	}
	if (i < M) {
		long long index_n[8];
		for (int ii = 0; ii < 8; ii++) {
			index_n[ii] = ii * ldc;
		}
		__m512i vindex_n = _mm512_loadu_si512(index_n);
#if !defined(B0)
		__m512d beta_512 = _mm512_broadcastsd_pd(_mm_load_sd(&beta));
#endif
		for (; i < m2; i += 2) {
			for (j = 0; 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(0, x); BROADCAST_LOAD_A_512(1, x);
					LOAD_B_512(x, 0); LOAD_B_512(x, 1); LOAD_B_512(x, 2); LOAD_B_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);
				}
				SCATTER_STORE_512(0, 0); SCATTER_STORE_512(1, 0);
				SCATTER_STORE_512(0, 1); SCATTER_STORE_512(1, 1);
				SCATTER_STORE_512(0, 2); SCATTER_STORE_512(1, 2);
				SCATTER_STORE_512(0, 3); SCATTER_STORE_512(1, 3);
			}
			for (; j < n16; j += 16) {
				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(0, x); BROADCAST_LOAD_A_512(1, x);
					LOAD_B_512(x, 0); LOAD_B_512(x, 1);
					MATMUL_512(0, 0); MATMUL_512(1, 0);
					MATMUL_512(0, 1); MATMUL_512(1, 1);
				}
				SCATTER_STORE_512(0, 0); SCATTER_STORE_512(1, 0);
				SCATTER_STORE_512(0, 1); SCATTER_STORE_512(1, 1);
			}
			__mmask8 mask = 0xff;
			int nn = 8;
			for (; j < N; j += 8) {
				if (N - j < 8) {
					nn = N - j;
					mask = (1UL << nn) - 1;
				}
				DECLARE_RESULT_512(0, 0); DECLARE_RESULT_512(1, 0);
				for (k = 0; k < K; k++) {
					BROADCAST_LOAD_A_512(0, x); BROADCAST_LOAD_A_512(1, x);
					MASK_LOAD_B_512(x, 0);
					MATMUL_512(0, 0); MATMUL_512(1, 0);
				}
				MASK_SCATTER_STORE_512(0, 0); MASK_SCATTER_STORE_512(1, 0);
			}
		}
		for (; i < M; i += 1) {
			for (j = 0; j < n32; j += 32) {
				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(0, x);
					LOAD_B_512(x, 0); LOAD_B_512(x, 1); LOAD_B_512(x, 2); LOAD_B_512(x, 3);
					MATMUL_512(0, 0);
					MATMUL_512(0, 1);
					MATMUL_512(0, 2);
					MATMUL_512(0, 3);
				}
				SCATTER_STORE_512(0, 0);
				SCATTER_STORE_512(0, 1);
				SCATTER_STORE_512(0, 2);
				SCATTER_STORE_512(0, 3);
			}
			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(0, x);
					LOAD_B_512(x, 0); LOAD_B_512(x, 1);
					MATMUL_512(0, 0);
					MATMUL_512(0, 1);
				}
				SCATTER_STORE_512(0, 0);
				SCATTER_STORE_512(0, 1);
			}
			__mmask8 mask = 0xff;
			int nn = 8;
			for (; j < N; j += 8) {
				if (N - j < 8) {
					nn = N - j;
					mask = (1UL << nn) - 1;
				}
				DECLARE_RESULT_512(0, 0);
				for (k = 0; k < K; k++) {
					BROADCAST_LOAD_A_512(0, x);
					MASK_LOAD_B_512(x, 0);
					MATMUL_512(0, 0);
				}
				MASK_SCATTER_STORE_512(0, 0);
			}
		}
	}
	return 0;
}