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daub4.c
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daub4.c
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/* This file is part of pawt.
*
* Various implementations of the 2D Daubechies D4 transform dda4mt2.
*
* Copyright 2018 LIPN, CNRS UMR 7030, Université Paris 13,
* Sorbonne-Paris-Cité. All rights reserved.
* Author: see AUTHORS
* Licence: GPL-3.0, see COPYING for details.
*
* Additional copyrights may follow
*
* $HEADER$
*/
#ifdef __x86_64__
#include <x86intrin.h>
#endif // __x86_64__
#ifdef __aarch64__
#include <arm_neon.h>
#include "arm.h"
#endif // __aarch64__
#include <math.h>
#include "daub4.h"
/*
c Compute 2D Daubechies D4 transform of a matrix
c
c Params:
c A: input matrix M*N, double precision
c B: output matrix M*N, double precision
c W: work matrix M*N, double precision
c M: nb of lines of the matrix, integer
c N: nb of columns of the matrix, integer
c LDA: leading dimension of A
c LDB: leading dimension of B
c TODO ASSUME M AND N ARE POWERS OF TWO
c TRANS = 'T': column-major, 'N': row-major
c Name:
c d double
c da4 Daubechies D4
c mt matrix transform
c 2 2D
*/
#ifdef __cplusplus
void dda4mt2_initial( double* A, double* B, double* W, int M, int N, int lda, int ldb ) {
#else
void dda4mt2_initial( double* restrict A, double* restrict B, double* restrict W, int M, int N, int lda, int ldb ) {
#endif
double h0, h1, h2, h3;
double g0, g1, g2, g3;
int i, j, k;
dGetCoeffs4( &h0, &h1, &h2, &h3 );
g0 = h3;
g1 = -h2;
g2 = h1;
g3 = -h0;
/* dim 1 */
for( k = 0 ; k < M ; k++ ) {
i = j = 0;
while( i < N-1 ) {
W[ k*N + j] = h0 * A[k*lda + i] + h1 * A[ k*lda + i+1] + h2 * A[k*lda + ( i + 2 ) % N ] + h3 * A[ k*lda + ( i + 3 ) % N ];
i += 2;
j++;
}
i = 0;
while( i < N-1 ) {
W[ k*N + j] = g0 * A[k*lda + i] + g1 * A[ k*lda + i+1] + g2 * A[k*lda + ( i + 2 ) % N ] + g3 * A[ k*lda + ( i + 3 ) % N ];
i += 2;
j++;
}
}
/* dim 2 */
for( k = 0, i = 0 ; k < M ; k+=2, i++ ) { /* upper half */
for( j = 0 ; j < N ; j++ ) {
B[i*ldb + j] = h0 * W[k*N + j] + h1 * W[(k+1)*N + j] + h2 * W[((k+2)%M)*N + j] + h3 * W[((k+3)%M)*N + j] ;
}
}
for( k = 0, i = M/2; k < M ; k+=2, i++ ) { /* lower half */
for( j = 0 ; j < N ; j++ ) {
B[i*ldb + j] = g0 * W[k*N + j] + g1 * W[(k+1)*N + j] + g2 * W[((k+2)%M)*N + j] + g3 * W[((k+3)%M)*N + j] ;
}
}
}
#ifdef __cplusplus
void dda4mt2_loop( double* A, double* B, double* W, int M, int N, int lda, int ldb ) {
#else
void dda4mt2_loop( double* restrict A, double* restrict B, double* restrict W, int M, int N, int lda, int ldb ) {
#endif
double h0, h1, h2, h3;
double g0, g1, g2, g3;
int i, j;
dGetCoeffs4( &h0, &h1, &h2, &h3 );
g0 = h3;
g1 = -h2;
g2 = h1;
g3 = -h0;
/* dim 1 */
for( j = 0 ; j < M ; j++ ) {
for( i = 0 ; i < (N / 2) ; i++ ){
W[ j*N + i] = h0 * A[j*lda + 2*i] + h1 * A[ j*lda + 2*i + 1]
+ h2 * A[j*lda + (2*i +2)%N] + h3 * A[ j*lda + (2*i + 3)%N]; // TODO virer les modulos ?
W[ j*N + i + N/2] = g0 * A[j*lda + 2*i] + g1 * A[ j*lda + 2*i + 1]
+ g2 * A[j*lda + (2*i + 2)%N] + g3 * A[ j*lda + (2*i + 3)%N];
}
}
/* dim 2 */
for( j = 0 ; j < (M / 2) ; j++ ){
for( i = 0 ; i < N ; i++ ){
B[i + j * ldb] = h0 * W[2*j*N +i] + h1 * W[ (2*j+1)*N + i]
+ h2 * W[((2*j+2)%M)*N + i] + h3 * W[ ((2*j+3)%M)*N + i];
B[i + (j+M/2) * ldb ] = g0 * W[2*j*N +i] + g1 * W[ (2*j+1)*N + i]
+ g2 * W[((2*j+2)%M)*N + i] + g3 * W[ ((2*j+3)%M)*N + i];
}
}
}
#if defined( __SSE__ ) || defined( __aarch64__ )
void dda4mt2_sse( double* A, double* B, double* W, int M, int N, int lda, int ldb ) {
double h0, h1, h2, h3;
double g0, g1, g2, g3;
int i, j;
__m128d a0, a1, a2, a3;
__m128d w, w0, w1, w2, w3, s0, s1;
__m128d ah0, ah1, ah2, ah3;
__m128d ag0, ag1, ag2, ag3;
dGetCoeffs4( &h0, &h1, &h2, &h3 );
g0 = h3;
g1 = -h2;
g2 = h1;
g3 = -h0;
ah0 = _mm_set1_pd( h0 );
ah1 = _mm_set1_pd( h1 );
ah2 = _mm_set1_pd( h2 );
ah3 = _mm_set1_pd( h3 );
ag0 = _mm_set1_pd( g0 );
ag1 = _mm_set1_pd( g1 );
ag2 = _mm_set1_pd( g2 );
ag3 = _mm_set1_pd( g3 );
/* dim 1 */
for( j = 0 ; j < M ; j++ ) {
for( i = 0 ; i < N / 2 ; i+=2 ){
a0 = _mm_set_pd( A[j*lda + 2*(i + 1)], A[j*lda + 2*i] );
a1 = _mm_set_pd( A[ j*lda + 2*(i + 1) + 1], A[ j*lda + 2*i + 1] );
a2 = _mm_set_pd( A[ j*lda + ( 2*(i + 1) + 2) %N], A[ j*lda + ( 2*i + 2 )%N] );
a3 = _mm_set_pd( A[ j*lda + ( 2*(i + 1) + 3 ) %N], A[ j*lda + ( 2*i + 3 ) %N] );
w0 = _mm_mul_pd( a0, ah0 );
w1 = _mm_mul_pd( a1, ah1 );
w2 = _mm_mul_pd( a2, ah2 );
w3 = _mm_mul_pd( a3, ah3 );
s0 = _mm_add_pd( w0, w1);
s1 = _mm_add_pd( w2, w3);
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &W[ j*ldb + i], w );
w0 = _mm_mul_pd( a0, ag0 );
w1 = _mm_mul_pd( a1, ag1 );
w2 = _mm_mul_pd( a2, ag2 );
w3 = _mm_mul_pd( a3, ag3 );
s0 = _mm_add_pd( w0, w1);
s1 = _mm_add_pd( w2, w3);
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &W[ j*ldb + i + N/2], w );
}
}
/* dim 2 */
for( j = 0 ; j < M / 2 ; j++ ){
for( i = 0 ; i < N ; i+=2 ){
a0 = _mm_loadu_pd( &W[2*j*N + i] );
a1 = _mm_loadu_pd( &W[(2*j+1)*N + i] );
a2 = _mm_loadu_pd( &W[((2*j+2)%M)*N + i] );
a3 = _mm_loadu_pd( &W[((2*j+3)%M)*N + i] );
w0 = _mm_mul_pd( a0, ah0 );
w1 = _mm_mul_pd( a1, ah1 );
w2 = _mm_mul_pd( a2, ah2 );
w3 = _mm_mul_pd( a3, ah3 );
s0 = _mm_add_pd( w0, w1);
s1 = _mm_add_pd( w2, w3);
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &B[ j*ldb + i], w );
w0 = _mm_mul_pd( a0, ag0 );
w1 = _mm_mul_pd( a1, ag1 );
w2 = _mm_mul_pd( a2, ag2 );
w3 = _mm_mul_pd( a3, ag3 );
s0 = _mm_add_pd( w0, w1);
s1 = _mm_add_pd( w2, w3);
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &B[ (j+M/2)*ldb + i], w );
}
}
}
void dda4mt2_sse_peel( double* A, double* B, double* W, int M, int N, int lda, int ldb ) {
double h0, h1, h2, h3;
double g0, g1, g2, g3;
int i, j;
__m128d a0, a1, a2, a3;
__m128d w, w0, w1, w2, w3, s0, s1;
__m128d ah0, ah1, ah2, ah3;
__m128d ag0, ag1, ag2, ag3;
dGetCoeffs4( &h0, &h1, &h2, &h3 );
g0 = h3;
g1 = -h2;
g2 = h1;
g3 = -h0;
ah0 = _mm_set1_pd( h0 );
ah1 = _mm_set1_pd( h1 );
ah2 = _mm_set1_pd( h2 );
ah3 = _mm_set1_pd( h3 );
ag0 = _mm_set1_pd( g0 );
ag1 = _mm_set1_pd( g1 );
ag2 = _mm_set1_pd( g2 );
ag3 = _mm_set1_pd( g3 );
/* dim 1 */
for( j = 0 ; j < M ; j++ ) {
for( i = 0 ; i < N / 2 - 1 ; i+=2 ){
a0 = _mm_set_pd( A[j*lda + 2*(i + 1)], A[j*lda + 2*i] );
a1 = _mm_set_pd( A[ j*lda + 2*(i + 1) + 1], A[ j*lda + 2*i + 1 ] );
a2 = _mm_set_pd( A[ j*lda + 2*(i + 1) + 2], A[ j*lda + 2*i + 2 ] );
a3 = _mm_set_pd( A[ j*lda + 2*(i + 1) + 3], A[ j*lda + 2*i + 3 ] );
w0 = _mm_mul_pd( a0, ah0 );
w1 = _mm_mul_pd( a1, ah1 );
w2 = _mm_mul_pd( a2, ah2 );
w3 = _mm_mul_pd( a3, ah3 );
s0 = _mm_add_pd( w0, w1);
s1 = _mm_add_pd( w2, w3);
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &W[ j*ldb + i], w );
w0 = _mm_mul_pd( a0, ag0 );
w1 = _mm_mul_pd( a1, ag1 );
w2 = _mm_mul_pd( a2, ag2 );
w3 = _mm_mul_pd( a3, ag3 );
s0 = _mm_add_pd( w0, w1);
s1 = _mm_add_pd( w2, w3);
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &W[ j*ldb + i + N/2], w );
}
/* Peeling */
a0 = _mm_set_pd( A[j*lda + N - 2 ], A[j*lda + N - 4] );
a1 = _mm_set_pd( A[ j*lda + N - 1 ], A[ j*lda + N - 3 ] );
a2 = _mm_set_pd( A[ j*lda ], A[ j*lda + N - 2] );
a3 = _mm_set_pd( A[ j*lda + 1], A[ j*lda + N - 1 ] );
w0 = _mm_mul_pd( a0, ah0 );
w1 = _mm_mul_pd( a1, ah1 );
w2 = _mm_mul_pd( a2, ah2 );
w3 = _mm_mul_pd( a3, ah3 );
s0 = _mm_add_pd( w0, w1);
s1 = _mm_add_pd( w2, w3);
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &W[ j*ldb + N/2 - 2], w );
w0 = _mm_mul_pd( a0, ag0 );
w1 = _mm_mul_pd( a1, ag1 );
w2 = _mm_mul_pd( a2, ag2 );
w3 = _mm_mul_pd( a3, ag3 );
s0 = _mm_add_pd( w0, w1);
s1 = _mm_add_pd( w2, w3);
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &W[ j*ldb + N - 2], w );
}
/* dim 2 */
for( j = 0 ; j < M / 2 - 1 ; j++ ){
for( i = 0 ; i < N ; i+=2 ){
a0 = _mm_loadu_pd( &W[2*j*N + i] );
a1 = _mm_loadu_pd( &W[(2*j+1)*N + i] );
a2 = _mm_loadu_pd( &W[(2*j+2)*N + i] );
a3 = _mm_loadu_pd( &W[(2*j+3)*N + i] );
w0 = _mm_mul_pd( a0, ah0 );
w1 = _mm_mul_pd( a1, ah1 );
w2 = _mm_mul_pd( a2, ah2 );
w3 = _mm_mul_pd( a3, ah3 );
s0 = _mm_add_pd( w0, w1);
s1 = _mm_add_pd( w2, w3);
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &B[ j*ldb + i], w );
w0 = _mm_mul_pd( a0, ag0 );
w1 = _mm_mul_pd( a1, ag1 );
w2 = _mm_mul_pd( a2, ag2 );
w3 = _mm_mul_pd( a3, ag3 );
s0 = _mm_add_pd( w0, w1);
s1 = _mm_add_pd( w2, w3);
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &B[ (j+M/2)*ldb + i], w );
}
}
/* Peeling */
for( i = 0 ; i < N ; i+=2 ){
a0 = _mm_loadu_pd( &W[ ( M - 2 )*N + i] );
a1 = _mm_loadu_pd( &W[ ( M - 1 )*N + i] );
a2 = _mm_loadu_pd( &W[ ( 0 )*N + i] );
a3 = _mm_loadu_pd( &W[ ( 1 )*N + i] );
w0 = _mm_mul_pd( a0, ah0 );
w1 = _mm_mul_pd( a1, ah1 );
w2 = _mm_mul_pd( a2, ah2 );
w3 = _mm_mul_pd( a3, ah3 );
s0 = _mm_add_pd( w0, w1);
s1 = _mm_add_pd( w2, w3);
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &B[ (M/2 - 1)*ldb + i], w );
w0 = _mm_mul_pd( a0, ag0 );
w1 = _mm_mul_pd( a1, ag1 );
w2 = _mm_mul_pd( a2, ag2 );
w3 = _mm_mul_pd( a3, ag3 );
s0 = _mm_add_pd( w0, w1);
s1 = _mm_add_pd( w2, w3);
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &B[ (M - 1)*ldb + i], w );
}
}
void dda4mt2_sse_reuse( double* A, double* B, double* W, int M, int N, int lda, int ldb ) {
double h0, h1, h2, h3;
double g0, g1, g2, g3;
int i, j;
__m128d a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, aa, ab, ac, ad, ae, af;
__m128d w, w0, w1, w2, w3, w0m, w1m, w2m, w3m, s0, s1, s2, s3;
__m128d ah0, ah1, ah2, ah3;
__m128d ag0, ag1, ag2, ag3;
dGetCoeffs4( &h0, &h1, &h2, &h3 );
g0 = h3;
g1 = -h2;
g2 = h1;
g3 = -h0;
ah0 = _mm_set1_pd( h0 );
ah1 = _mm_set1_pd( h1 );
ah2 = _mm_set1_pd( h2 );
ah3 = _mm_set1_pd( h3 );
ag0 = _mm_set1_pd( g0 );
ag1 = _mm_set1_pd( g1 );
ag2 = _mm_set1_pd( g2 );
ag3 = _mm_set1_pd( g3 );
for( j = 0 ; j < M / 2; j++ ) {
for( i = 0 ; i < N / 2 ; i+=2 ){
a0 = _mm_set_pd( A[ (j*2)*lda + (2*i + 2)%N ], A[ (j*2)*lda + 2*i] );
a1 = _mm_set_pd( A[ (j*2)*lda + (2*i + 3)%N ], A[ (j*2)*lda + 2*i + 1] );
a2 = _mm_set_pd( A[ (j*2)*lda + (2*i + 4)%N ], A[ (j*2)*lda + (2*i + 2)%N ]);
a3 = _mm_set_pd( A[ (j*2)*lda + (2*i + 5)%N ], A[ (j*2)*lda + (2*i + 3)%N ] );
a4 = _mm_set_pd( A[ ((j*2+1)%M)*lda + (2*i + 2)%N ], A[ (j*2+1)*lda + 2*i] );
a5 = _mm_set_pd( A[ ((j*2+1)%M)*lda + (2*i + 3)%N ], A[ (j*2+1)*lda + 2*i + 1] );
a6 = _mm_set_pd( A[ ((j*2+1)%M)*lda + (2*i + 4)%N ], A[ (j*2+1)*lda + (2*i + 2)%N]);
a7 = _mm_set_pd( A[ ((j*2+1)%M)*lda + (2*i + 5)%N ], A[ (j*2+1)*lda + (2*i + 3)%N ]);
a8 = _mm_set_pd( A[ ((j*2+2)%M)*lda + (2*i + 2)%N ], A[ ((j*2+2)%M)*lda + 2*i] );
a9 = _mm_set_pd( A[ ((j*2+2)%M)*lda + (2*i + 3)%N ], A[ ((j*2+2)%M)*lda + 2*i + 1] );
aa = _mm_set_pd( A[ ((j*2+2)%M)*lda + (2*i + 4)%N ], A[ ((j*2+2)%M)*lda + (2*i + 2)%N] );
ab = _mm_set_pd( A[ ((j*2+2)%M)*lda + (2*i + 5)%N ], A[ ((j*2+2)%M)*lda + (2*i + 3)%N] );
ac = _mm_set_pd( A[((j*2+3)%M)*lda + (2*i + 2)%N ], A[((j*2+3)%M)*lda + 2*i] );
ad = _mm_set_pd( A[((j*2+3)%M)*lda + (2*i + 3)%N ], A[((j*2+3)%M)*lda + 2*i + 1] );
ae = _mm_set_pd( A[((j*2+3)%M)*lda + (2*i + 4)%N ], A[((j*2+3)%M)*lda + (2*i + 2)%N] );
af = _mm_set_pd( A[((j*2+3)%M)*lda + (2*i + 5)%N ], A[((j*2+3)%M)*lda + (2*i + 3)%N] );
/* Lines: W1 = A[i][j] + A[i+1][j] + A[i+2][j] + A[i+3][j] = A1 + A2 + A3 + A4 */
s0 = _mm_mul_pd( a0, ah0 );
s1 = _mm_mul_pd( a1, ah1 );
s2 = _mm_mul_pd( a2, ah2 );
s3 = _mm_mul_pd( a3, ah3 );
w0 = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( a0, ag0 );
s1 = _mm_mul_pd( a1, ag1 );
s2 = _mm_mul_pd( a2, ag2 );
s3 = _mm_mul_pd( a3, ag3 );
w0m = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( a4, ah0 );
s1 = _mm_mul_pd( a5, ah1 );
s2 = _mm_mul_pd( a6, ah2 );
s3 = _mm_mul_pd( a7, ah3 );
w1 = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( a4, ag0 );
s1 = _mm_mul_pd( a5, ag1 );
s2 = _mm_mul_pd( a6, ag2 );
s3 = _mm_mul_pd( a7, ag3 );
w1m = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( a8, ah0 );
s1 = _mm_mul_pd( a9, ah1 );
s2 = _mm_mul_pd( aa, ah2 );
s3 = _mm_mul_pd( ab, ah3 );
w2 = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( a8, ag0 );
s1 = _mm_mul_pd( a9, ag1 );
s2 = _mm_mul_pd( aa, ag2 );
s3 = _mm_mul_pd( ab, ag3 );
w2m = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( ac, ah0 );
s1 = _mm_mul_pd( ad, ah1 );
s2 = _mm_mul_pd( ae, ah2 );
s3 = _mm_mul_pd( af, ah3 );
w3 = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( ac, ag0 );
s1 = _mm_mul_pd( ad, ag1 );
s2 = _mm_mul_pd( ae, ag2 );
s3 = _mm_mul_pd( af, ag3 );
w3m = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
/* Columns: B = W1 + W2 + W3 + W4 = W[i][j] + W[j][j+1] + W[j][j+2] + W[j][j+3] */
s0 = _mm_add_pd( _mm_mul_pd( w2, ah2 ), _mm_mul_pd( w3, ah3 ) );
s1 = _mm_add_pd( _mm_mul_pd( w0, ah0 ), _mm_mul_pd( w1, ah1 ) );
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &B[ j*ldb + i ], w );
s0 = _mm_add_pd( _mm_mul_pd( w2, ag2 ), _mm_mul_pd( w3, ag3 ) );
s1 = _mm_add_pd( _mm_mul_pd( w0, ag0 ), _mm_mul_pd( w1, ag1 ) );
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &B[ (j + M/2)*ldb + i ], w );
s0 = _mm_add_pd( _mm_mul_pd( w2m, ah2 ), _mm_mul_pd( w3m, ah3 ) );
s1 = _mm_add_pd( _mm_mul_pd( w0m, ah0 ), _mm_mul_pd( w1m, ah1 ) );
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &B[ j*ldb + i + N/2 ], w );
s0 = _mm_add_pd( _mm_mul_pd( w2m, ag2 ), _mm_mul_pd( w3m, ag3 ) );
s1 = _mm_add_pd( _mm_mul_pd( w0m, ag0 ), _mm_mul_pd( w1m, ag1 ) );
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &B[ (j + M/2)*ldb + i + N / 2 ], w );
}
}
}
void dda4mt2_sse_reuse_peel( double* A, double* B, double* W, int M, int N, int lda, int ldb ) {
double h0, h1, h2, h3;
double g0, g1, g2, g3;
int i, j;
__m128d a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, aa, ab, ac, ad, ae, af;
__m128d w, w0, w1, w2, w3, w0m, w1m, w2m, w3m, s0, s1, s2, s3;
__m128d ah0, ah1, ah2, ah3;
__m128d ag0, ag1, ag2, ag3;
dGetCoeffs4( &h0, &h1, &h2, &h3 );
g0 = h3;
g1 = -h2;
g2 = h1;
g3 = -h0;
ah0 = _mm_set1_pd( h0 );
ah1 = _mm_set1_pd( h1 );
ah2 = _mm_set1_pd( h2 );
ah3 = _mm_set1_pd( h3 );
ag0 = _mm_set1_pd( g0 );
ag1 = _mm_set1_pd( g1 );
ag2 = _mm_set1_pd( g2 );
ag3 = _mm_set1_pd( g3 );
for( j = 0 ; j < M / 2 - 1; j++ ) {
for( i = 0 ; i < N / 2 - 2 ; i+=2 ){
a0 = _mm_set_pd( A[ (j*2)*lda + 2*i + 2 ], A[ (j*2)*lda + 2*i] );
a1 = _mm_set_pd( A[ (j*2)*lda + 2*i + 3 ], A[ (j*2)*lda + 2*i + 1] );
a2 = _mm_set_pd( A[ (j*2)*lda + 2*i + 4 ], A[ (j*2)*lda + 2*i + 2 ]);
a3 = _mm_set_pd( A[ (j*2)*lda + 2*i + 5 ], A[ (j*2)*lda + 2*i + 3 ] );
a4 = _mm_set_pd( A[ (j*2+1)*lda + 2*i + 2 ], A[ (j*2+1)*lda + 2*i] );
a5 = _mm_set_pd( A[ (j*2+1)*lda + 2*i + 3 ], A[ (j*2+1)*lda + 2*i + 1] );
a6 = _mm_set_pd( A[ (j*2+1)*lda + 2*i + 4 ], A[ (j*2+1)*lda + 2*i + 2 ]);
a7 = _mm_set_pd( A[ (j*2+1)*lda + 2*i + 5 ], A[ (j*2+1)*lda + 2*i + 3 ]);
a8 = _mm_set_pd( A[ (j*2+2)*lda + 2*i + 2 ], A[ (j*2+2)*lda + 2*i] );
a9 = _mm_set_pd( A[ (j*2+2)*lda + 2*i + 3 ], A[ (j*2+2)*lda + 2*i + 1] );
aa = _mm_set_pd( A[ (j*2+2)*lda + 2*i + 4 ], A[ (j*2+2)*lda + 2*i + 2] );
ab = _mm_set_pd( A[ (j*2+2)*lda + 2*i + 5 ], A[ (j*2+2)*lda + 2*i + 3] );
ac = _mm_set_pd( A[(j*2+3)*lda + 2*i + 2 ], A[(j*2+3)*lda + 2*i] );
ad = _mm_set_pd( A[(j*2+3)*lda + 2*i + 3 ], A[(j*2+3)*lda + 2*i + 1] );
ae = _mm_set_pd( A[(j*2+3)*lda + 2*i + 4 ], A[(j*2+3)*lda + 2*i + 2] );
af = _mm_set_pd( A[(j*2+3)*lda + 2*i + 5 ], A[(j*2+3)*lda + 2*i + 3] );
/* Lines: W1 = A[i][j] + A[i+1][j] + A[i+2][j] + A[i+3][j] = A1 + A2 + A3 + A4 */
s0 = _mm_mul_pd( a0, ah0 );
s1 = _mm_mul_pd( a1, ah1 );
s2 = _mm_mul_pd( a2, ah2 );
s3 = _mm_mul_pd( a3, ah3 );
w0 = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( a0, ag0 );
s1 = _mm_mul_pd( a1, ag1 );
s2 = _mm_mul_pd( a2, ag2 );
s3 = _mm_mul_pd( a3, ag3 );
w0m = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( a4, ah0 );
s1 = _mm_mul_pd( a5, ah1 );
s2 = _mm_mul_pd( a6, ah2 );
s3 = _mm_mul_pd( a7, ah3 );
w1 = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( a4, ag0 );
s1 = _mm_mul_pd( a5, ag1 );
s2 = _mm_mul_pd( a6, ag2 );
s3 = _mm_mul_pd( a7, ag3 );
w1m = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( a8, ah0 );
s1 = _mm_mul_pd( a9, ah1 );
s2 = _mm_mul_pd( aa, ah2 );
s3 = _mm_mul_pd( ab, ah3 );
w2 = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( a8, ag0 );
s1 = _mm_mul_pd( a9, ag1 );
s2 = _mm_mul_pd( aa, ag2 );
s3 = _mm_mul_pd( ab, ag3 );
w2m = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( ac, ah0 );
s1 = _mm_mul_pd( ad, ah1 );
s2 = _mm_mul_pd( ae, ah2 );
s3 = _mm_mul_pd( af, ah3 );
w3 = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( ac, ag0 );
s1 = _mm_mul_pd( ad, ag1 );
s2 = _mm_mul_pd( ae, ag2 );
s3 = _mm_mul_pd( af, ag3 );
w3m = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
/* Columns: B = W1 + W2 + W3 + W4 = W[i][j] + W[j][j+1] + W[j][j+2] + W[j][j+3] */
s0 = _mm_add_pd( _mm_mul_pd( w2, ah2 ), _mm_mul_pd( w3, ah3 ) );
s1 = _mm_add_pd( _mm_mul_pd( w0, ah0 ), _mm_mul_pd( w1, ah1 ) );
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &B[ j*ldb + i ], w );
s0 = _mm_add_pd( _mm_mul_pd( w2, ag2 ), _mm_mul_pd( w3, ag3 ) );
s1 = _mm_add_pd( _mm_mul_pd( w0, ag0 ), _mm_mul_pd( w1, ag1 ) );
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &B[ (j + M/2)*ldb + i ], w );
s0 = _mm_add_pd( _mm_mul_pd( w2m, ah2 ), _mm_mul_pd( w3m, ah3 ) );
s1 = _mm_add_pd( _mm_mul_pd( w0m, ah0 ), _mm_mul_pd( w1m, ah1 ) );
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &B[ j*ldb + i + N/2 ], w );
s0 = _mm_add_pd( _mm_mul_pd( w2m, ag2 ), _mm_mul_pd( w3m, ag3 ) );
s1 = _mm_add_pd( _mm_mul_pd( w0m, ag0 ), _mm_mul_pd( w1m, ag1 ) );
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &B[ (j + M/2)*ldb + i + N / 2 ], w );
}
/* Peeling: lines */
a0 = _mm_set_pd( A[ (j*2)*lda + N - 2 ], A[ (j*2)*lda + N - 4] );
a1 = _mm_set_pd( A[ (j*2)*lda + N - 1 ], A[ (j*2)*lda + N - 3] );
a2 = _mm_set_pd( A[ (j*2)*lda + 0 ], A[ (j*2)*lda + N - 2 ]);
a3 = _mm_set_pd( A[ (j*2)*lda + 1 ], A[ (j*2)*lda + N - 1 ] );
a4 = _mm_set_pd( A[ (j*2+1)*lda + N - 2 ], A[ (j*2+1)*lda + N - 4] );
a5 = _mm_set_pd( A[ (j*2+1)*lda + N - 1 ], A[ (j*2+1)*lda + N - 3] );
a6 = _mm_set_pd( A[ (j*2+1)*lda + 0 ], A[ (j*2+1)*lda + N - 2 ]);
a7 = _mm_set_pd( A[ (j*2+1)*lda + 1 ], A[ (j*2+1)*lda + N - 1 ]);
a8 = _mm_set_pd( A[ (j*2+2)*lda + N - 2 ], A[ (j*2+2)*lda + N - 4] );
a9 = _mm_set_pd( A[ (j*2+2)*lda + N - 1 ], A[ (j*2+2)*lda + N - 3] );
aa = _mm_set_pd( A[ (j*2+2)*lda + 0 ], A[ (j*2+2)*lda + N - 2] );
ab = _mm_set_pd( A[ (j*2+2)*lda + 1 ], A[ (j*2+2)*lda + N - 1] );
ac = _mm_set_pd( A[(j*2+3)*lda + N - 2 ], A[(j*2+3)*lda + N - 4] );
ad = _mm_set_pd( A[(j*2+3)*lda + N - 1 ], A[(j*2+3)*lda + N - 3] );
ae = _mm_set_pd( A[(j*2+3)*lda + 0 ], A[(j*2+3)*lda + N - 2] );
af = _mm_set_pd( A[(j*2+3)*lda + 1 ], A[(j*2+3)*lda + N - 1] );
/* Lines: W1 = A[i][j] + A[i+1][j] + A[i+2][j] + A[i+3][j] = A1 + A2 + A3 + A4 */
s0 = _mm_mul_pd( a0, ah0 );
s1 = _mm_mul_pd( a1, ah1 );
s2 = _mm_mul_pd( a2, ah2 );
s3 = _mm_mul_pd( a3, ah3 );
w0 = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( a0, ag0 );
s1 = _mm_mul_pd( a1, ag1 );
s2 = _mm_mul_pd( a2, ag2 );
s3 = _mm_mul_pd( a3, ag3 );
w0m = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( a4, ah0 );
s1 = _mm_mul_pd( a5, ah1 );
s2 = _mm_mul_pd( a6, ah2 );
s3 = _mm_mul_pd( a7, ah3 );
w1 = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( a4, ag0 );
s1 = _mm_mul_pd( a5, ag1 );
s2 = _mm_mul_pd( a6, ag2 );
s3 = _mm_mul_pd( a7, ag3 );
w1m = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( a8, ah0 );
s1 = _mm_mul_pd( a9, ah1 );
s2 = _mm_mul_pd( aa, ah2 );
s3 = _mm_mul_pd( ab, ah3 );
w2 = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( a8, ag0 );
s1 = _mm_mul_pd( a9, ag1 );
s2 = _mm_mul_pd( aa, ag2 );
s3 = _mm_mul_pd( ab, ag3 );
w2m = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( ac, ah0 );
s1 = _mm_mul_pd( ad, ah1 );
s2 = _mm_mul_pd( ae, ah2 );
s3 = _mm_mul_pd( af, ah3 );
w3 = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( ac, ag0 );
s1 = _mm_mul_pd( ad, ag1 );
s2 = _mm_mul_pd( ae, ag2 );
s3 = _mm_mul_pd( af, ag3 );
w3m = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
/* Columns: B = W1 + W2 + W3 + W4 = W[i][j] + W[j][j+1] + W[j][j+2] + W[j][j+3] */
s0 = _mm_add_pd( _mm_mul_pd( w2, ah2 ), _mm_mul_pd( w3, ah3 ) );
s1 = _mm_add_pd( _mm_mul_pd( w0, ah0 ), _mm_mul_pd( w1, ah1 ) );
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &B[ j*ldb + N/2 - 2 ], w );
s0 = _mm_add_pd( _mm_mul_pd( w2, ag2 ), _mm_mul_pd( w3, ag3 ) );
s1 = _mm_add_pd( _mm_mul_pd( w0, ag0 ), _mm_mul_pd( w1, ag1 ) );
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &B[ (j + M/2)*ldb + N/2 - 2 ], w );
s0 = _mm_add_pd( _mm_mul_pd( w2m, ah2 ), _mm_mul_pd( w3m, ah3 ) );
s1 = _mm_add_pd( _mm_mul_pd( w0m, ah0 ), _mm_mul_pd( w1m, ah1 ) );
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &B[ j*ldb + N - 2 ], w );
s0 = _mm_add_pd( _mm_mul_pd( w2m, ag2 ), _mm_mul_pd( w3m, ag3 ) );
s1 = _mm_add_pd( _mm_mul_pd( w0m, ag0 ), _mm_mul_pd( w1m, ag1 ) );
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &B[ (j + M/2)*ldb + N - 2 ], w );
}
/* Peeling: columns */
for( i = 0 ; i < N / 2 - 2 ; i+=2 ){
a0 = _mm_set_pd( A[ (M - 2)*lda + 2*i + 2 ], A[ (M - 2)*lda + 2*i] );
a1 = _mm_set_pd( A[ (M - 2)*lda + 2*i + 3 ], A[ (M - 2)*lda + 2*i + 1] );
a2 = _mm_set_pd( A[ (M - 2)*lda + 2*i + 4 ], A[ (M - 2)*lda + 2*i + 2 ]);
a3 = _mm_set_pd( A[ (M - 2)*lda + 2*i + 5 ], A[ (M - 2)*lda + 2*i + 3 ] );
a4 = _mm_set_pd( A[ (M - 1)*lda + 2*i + 2 ], A[ (M - 1)*lda + 2*i] );
a5 = _mm_set_pd( A[ (M - 1)*lda + 2*i + 3 ], A[ (M - 1)*lda + 2*i + 1] );
a6 = _mm_set_pd( A[ (M - 1)*lda + 2*i + 4 ], A[ (M - 1)*lda + 2*i + 2 ]);
a7 = _mm_set_pd( A[ (M - 1)*lda + 2*i + 5 ], A[ (M - 1)*lda + 2*i + 3 ]);
a8 = _mm_set_pd( A[ (0)*lda + 2*i + 2 ], A[ (0)*lda + 2*i] );
a9 = _mm_set_pd( A[ (0)*lda + 2*i + 3 ], A[ (0)*lda + 2*i + 1] );
aa = _mm_set_pd( A[ (0)*lda + 2*i + 4 ], A[ (0)*lda + 2*i + 2] );
ab = _mm_set_pd( A[ (0)*lda + 2*i + 5 ], A[ (0)*lda + 2*i + 3] );
ac = _mm_set_pd( A[(1)*lda + 2*i + 2 ], A[(1)*lda + 2*i] );
ad = _mm_set_pd( A[(1)*lda + 2*i + 3 ], A[(1)*lda + 2*i + 1] );
ae = _mm_set_pd( A[(1)*lda + 2*i + 4 ], A[(1)*lda + 2*i + 2] );
af = _mm_set_pd( A[(1)*lda + 2*i + 5 ], A[(1)*lda + 2*i + 3] );
/* Lines: W1 = A[i][j] + A[i+1][j] + A[i+2][j] + A[i+3][j] = A1 + A2 + A3 + A4 */
s0 = _mm_mul_pd( a0, ah0 );
s1 = _mm_mul_pd( a1, ah1 );
s2 = _mm_mul_pd( a2, ah2 );
s3 = _mm_mul_pd( a3, ah3 );
w0 = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( a0, ag0 );
s1 = _mm_mul_pd( a1, ag1 );
s2 = _mm_mul_pd( a2, ag2 );
s3 = _mm_mul_pd( a3, ag3 );
w0m = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( a4, ah0 );
s1 = _mm_mul_pd( a5, ah1 );
s2 = _mm_mul_pd( a6, ah2 );
s3 = _mm_mul_pd( a7, ah3 );
w1 = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( a4, ag0 );
s1 = _mm_mul_pd( a5, ag1 );
s2 = _mm_mul_pd( a6, ag2 );
s3 = _mm_mul_pd( a7, ag3 );
w1m = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( a8, ah0 );
s1 = _mm_mul_pd( a9, ah1 );
s2 = _mm_mul_pd( aa, ah2 );
s3 = _mm_mul_pd( ab, ah3 );
w2 = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( a8, ag0 );
s1 = _mm_mul_pd( a9, ag1 );
s2 = _mm_mul_pd( aa, ag2 );
s3 = _mm_mul_pd( ab, ag3 );
w2m = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( ac, ah0 );
s1 = _mm_mul_pd( ad, ah1 );
s2 = _mm_mul_pd( ae, ah2 );
s3 = _mm_mul_pd( af, ah3 );
w3 = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( ac, ag0 );
s1 = _mm_mul_pd( ad, ag1 );
s2 = _mm_mul_pd( ae, ag2 );
s3 = _mm_mul_pd( af, ag3 );
w3m = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
/* Columns: B = W1 + W2 + W3 + W4 = W[i][j] + W[j][j+1] + W[j][j+2] + W[j][j+3] */
s0 = _mm_add_pd( _mm_mul_pd( w2, ah2 ), _mm_mul_pd( w3, ah3 ) );
s1 = _mm_add_pd( _mm_mul_pd( w0, ah0 ), _mm_mul_pd( w1, ah1 ) );
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &B[ (M/2 - 1)*ldb + i ], w );
s0 = _mm_add_pd( _mm_mul_pd( w2, ag2 ), _mm_mul_pd( w3, ag3 ) );
s1 = _mm_add_pd( _mm_mul_pd( w0, ag0 ), _mm_mul_pd( w1, ag1 ) );
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &B[ (M - 1)*ldb + i ], w );
s0 = _mm_add_pd( _mm_mul_pd( w2m, ah2 ), _mm_mul_pd( w3m, ah3 ) );
s1 = _mm_add_pd( _mm_mul_pd( w0m, ah0 ), _mm_mul_pd( w1m, ah1 ) );
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &B[ (M/2 - 1)*ldb + i + N/2 ], w );
s0 = _mm_add_pd( _mm_mul_pd( w2m, ag2 ), _mm_mul_pd( w3m, ag3 ) );
s1 = _mm_add_pd( _mm_mul_pd( w0m, ag0 ), _mm_mul_pd( w1m, ag1 ) );
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &B[ (M - 1)*ldb + i + N / 2 ], w );
}
/* Peeling: last corner */
a0 = _mm_set_pd( A[ (M - 2)*lda + N - 2 ], A[ (M - 2)*lda + N - 4] );
a1 = _mm_set_pd( A[ (M - 2)*lda + N - 1 ], A[ (M - 2)*lda + N - 3] );
a2 = _mm_set_pd( A[ (M - 2)*lda + 0 ], A[ (M - 2)*lda + N - 2 ]);
a3 = _mm_set_pd( A[ (M - 2)*lda + 1 ], A[ (M - 2)*lda + N - 1 ] );
a4 = _mm_set_pd( A[ (M - 1)*lda + N - 2 ], A[ (M - 1)*lda + N - 4] );
a5 = _mm_set_pd( A[ (M - 1)*lda + N - 1 ], A[ (M - 1)*lda + N - 3] );
a6 = _mm_set_pd( A[ (M - 1)*lda + 0 ], A[ (M - 1)*lda + N - 2 ]);
a7 = _mm_set_pd( A[ (M - 1)*lda + 1 ], A[ (M - 1)*lda + N - 1 ]);
a8 = _mm_set_pd( A[ (0)*lda + N - 2 ], A[ (0)*lda + N - 4] );
a9 = _mm_set_pd( A[ (0)*lda + N - 1 ], A[ (0)*lda + N - 3] );
aa = _mm_set_pd( A[ (0)*lda + 0 ], A[ (0)*lda + N - 2] );
ab = _mm_set_pd( A[ (0)*lda + 1 ], A[ (0)*lda + N - 1] );
ac = _mm_set_pd( A[(1)*lda + N - 2 ], A[(1)*lda + N - 4] );
ad = _mm_set_pd( A[(1)*lda + N - 1 ], A[(1)*lda + N - 3] );
ae = _mm_set_pd( A[(1)*lda + 0 ], A[(1)*lda + N - 2] );
af = _mm_set_pd( A[(1)*lda + 1 ], A[(1)*lda + N - 1] );
/* Lines: W1 = A[i][j] + A[i+1][j] + A[i+2][j] + A[i+3][j] = A1 + A2 + A3 + A4 */
s0 = _mm_mul_pd( a0, ah0 );
s1 = _mm_mul_pd( a1, ah1 );
s2 = _mm_mul_pd( a2, ah2 );
s3 = _mm_mul_pd( a3, ah3 );
w0 = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( a0, ag0 );
s1 = _mm_mul_pd( a1, ag1 );
s2 = _mm_mul_pd( a2, ag2 );
s3 = _mm_mul_pd( a3, ag3 );
w0m = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( a4, ah0 );
s1 = _mm_mul_pd( a5, ah1 );
s2 = _mm_mul_pd( a6, ah2 );
s3 = _mm_mul_pd( a7, ah3 );
w1 = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( a4, ag0 );
s1 = _mm_mul_pd( a5, ag1 );
s2 = _mm_mul_pd( a6, ag2 );
s3 = _mm_mul_pd( a7, ag3 );
w1m = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( a8, ah0 );
s1 = _mm_mul_pd( a9, ah1 );
s2 = _mm_mul_pd( aa, ah2 );
s3 = _mm_mul_pd( ab, ah3 );
w2 = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( a8, ag0 );
s1 = _mm_mul_pd( a9, ag1 );
s2 = _mm_mul_pd( aa, ag2 );
s3 = _mm_mul_pd( ab, ag3 );
w2m = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( ac, ah0 );
s1 = _mm_mul_pd( ad, ah1 );
s2 = _mm_mul_pd( ae, ah2 );
s3 = _mm_mul_pd( af, ah3 );
w3 = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
s0 = _mm_mul_pd( ac, ag0 );
s1 = _mm_mul_pd( ad, ag1 );
s2 = _mm_mul_pd( ae, ag2 );
s3 = _mm_mul_pd( af, ag3 );
w3m = _mm_add_pd( _mm_add_pd( s0, s1 ), _mm_add_pd( s2, s3 ) );
/* Columns: B = W1 + W2 + W3 + W4 = W[i][j] + W[j][j+1] + W[j][j+2] + W[j][j+3] */
s0 = _mm_add_pd( _mm_mul_pd( w2, ah2 ), _mm_mul_pd( w3, ah3 ) );
s1 = _mm_add_pd( _mm_mul_pd( w0, ah0 ), _mm_mul_pd( w1, ah1 ) );
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &B[ (M/2 - 1)*ldb + N / 2 - 2 ], w );
s0 = _mm_add_pd( _mm_mul_pd( w2, ag2 ), _mm_mul_pd( w3, ag3 ) );
s1 = _mm_add_pd( _mm_mul_pd( w0, ag0 ), _mm_mul_pd( w1, ag1 ) );
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &B[ (M - 1)*ldb + N / 2 - 2 ], w );
s0 = _mm_add_pd( _mm_mul_pd( w2m, ah2 ), _mm_mul_pd( w3m, ah3 ) );
s1 = _mm_add_pd( _mm_mul_pd( w0m, ah0 ), _mm_mul_pd( w1m, ah1 ) );
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &B[ (M/2 - 1)*ldb + N - 2 ], w );
s0 = _mm_add_pd( _mm_mul_pd( w2m, ag2 ), _mm_mul_pd( w3m, ag3 ) );
s1 = _mm_add_pd( _mm_mul_pd( w0m, ag0 ), _mm_mul_pd( w1m, ag1 ) );
w = _mm_add_pd( s0, s1 );
_mm_storeu_pd( &B[ (M - 1)*ldb + N - 2 ], w );
}
#endif // __SSE__ || __aarch64__
#ifdef __AVX__
void dda4mt2_avx( double* restrict A, double* restrict B, double* restrict W, int M, int N, int lda, int ldb ) {
double h0, h1, h2, h3;
double g0, g1, g2, g3;
int i, j;
__m256d a0, a1, a2, a3;
__m256d w, w0, w1, w2, w3, s0, s1;
__m256d ah0, ah1, ah2, ah3;
__m256d ag0, ag1, ag2, ag3;
dGetCoeffs4( &h0, &h1, &h2, &h3 );
g0 = h3;
g1 = -h2;
g2 = h1;
g3 = -h0;
ah0 = _mm256_set1_pd( h0 );
ah1 = _mm256_set1_pd( h1 );
ah2 = _mm256_set1_pd( h2 );
ah3 = _mm256_set1_pd( h3 );
ag0 = _mm256_set1_pd( g0 );
ag1 = _mm256_set1_pd( g1 );
ag2 = _mm256_set1_pd( g2 );
ag3 = _mm256_set1_pd( g3 );
/* dim 1 */
for( j = 0 ; j < M ; j++ ) {
for( i = 0 ; i < N / 2 ; i+=4 ){
a0 = _mm256_set_pd( A[j*lda + ( 2*(i + 3) ) % N], A[j*lda + ( 2*(i + 2) ) % N], A[j*lda + 2*(i + 1)], A[j*lda + 2*i] );
a1 = _mm256_set_pd( A[ j*lda + ( 2*(i + 3) + 1 ) % N], A[ j*lda + ( 2*(i + 2) + 1 ) % N], A[ j*lda + 2*(i + 1) + 1], A[ j*lda + 2*i + 1] );
a2 = _mm256_set_pd( A[ j*lda + ( 2*(i + 3) + 2 ) % N], A[ j*lda + ( 2*(i + 2) + 2) %N], A[ j*lda + ( 2*(i + 1) + 2) %N], A[ j*lda + ( 2*i + 2 )%N] );
a3 = _mm256_set_pd( A[ j*lda + ( 2*(i + 3) + 3 ) % N], A[ j*lda + ( 2*(i + 2) + 3 ) % N], A[ j*lda + ( 2*(i + 1) + 3 ) %N], A[ j*lda + ( 2*i + 3 ) %N] );