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//==============================================================================
//=== sfmult_AN_XT_YN ==========================================================
//==============================================================================
// SFMULT, Copyright (c) 2009, Timothy A Davis. All Rights Reserved.
// SPDX-License-Identifier: BSD-3-clause
// y = A*x' A is m-by-n, x is k-by-n, y is m-by-k
// compare with sfmult_AN_XT_YT for kernel usage
// compare with sfmult_AN_XN_YN for outer loop structure but different kernels
#include "sfmult.h"
mxArray *sfmult_AN_XT_YN // y = A*x'
(
const mxArray *A,
const mxArray *X,
int ac, // if true: conj(A) if false: A. ignored if A real
int xc, // if true: conj(x) if false: x. ignored if x real
int yc // if true: conj(y) if false: y. ignored if y real
)
{
mxArray *Y ;
double *Ax, *Az, *Xx, *Xz, *Yx, *Yz, *Wx, *Wz ;
Int *Ap, *Ai ;
Int m, n, k, k1, i ;
int Acomplex, Xcomplex, Ycomplex ;
//--------------------------------------------------------------------------
// get inputs
//--------------------------------------------------------------------------
m = mxGetM (A) ;
n = mxGetN (A) ;
k = mxGetM (X) ;
if (n != mxGetN (X)) sfmult_invalid ( ) ;
Acomplex = mxIsComplex (A) ;
Xcomplex = mxIsComplex (X) ;
Ap = mxGetJc (A) ;
Ai = mxGetIr (A) ;
Ax = mxGetPr (A) ;
Az = mxGetPi (A) ;
Xx = mxGetPr (X) ;
Xz = mxGetPi (X) ;
//--------------------------------------------------------------------------
// allocate result
//--------------------------------------------------------------------------
Ycomplex = Acomplex || Xcomplex ;
Y = sfmult_yalloc (m, k, Ycomplex) ;
Yx = mxGetPr (Y) ;
Yz = mxGetPi (Y) ;
//--------------------------------------------------------------------------
// special cases
//--------------------------------------------------------------------------
if (k == 0 || m == 0 || n == 0 || Ap [n] == 0)
{
// Y = 0
return (sfmult_yzero (Y)) ;
}
if (k == 1)
{
// Y = A*X
sfmult_AN_x_1 (Yx, Yz, Ap, Ai, Ax, Az, m, n, Xx, Xz, ac, xc, yc) ;
return (Y) ;
}
//--------------------------------------------------------------------------
// allocate workspace
//--------------------------------------------------------------------------
sfmult_walloc ((k == 2) ? 2 : 4, m, &Wx, &Wz) ;
//--------------------------------------------------------------------------
// Y = A*X', in blocks of up to 4 columns of X, using sfmult_anxtyt
//--------------------------------------------------------------------------
k1 = k % 4 ;
if (k1 == 1)
{
// Y (:,1) = A * X(1,:)'
sfmult_AN_xk_1 (Yx, Yz, Ap, Ai, Ax, Az, m, n, Xx, Xz, ac, xc, yc, k) ;
Yx += m ;
Yz += m ;
Xx += 1 ;
Xz += 1 ;
}
else if (k1 == 2)
{
// W = (A * X(1:2,:)')'
sfmult_AN_XT_YT_2 (Wx, Wz, Ap, Ai, Ax, Az, m, n, Xx, Xz, ac, xc, yc, k);
// Y (:,1:2) = W'
for (i = 0 ; i < m ; i++) Yx [i] = Wx [2*i ] ; Yx += m ; Yz += m ;
for (i = 0 ; i < m ; i++) Yx [i] = Wx [2*i+1] ; Yx += m ; Yz += m ;
#if 0
for (i = 0 ; i < m ; i++)
{
Yx [i ] = Wx [2*i ] ;
Yx [i+m] = Wx [2*i+1] ;
}
Yx += 2*m ;
Yz += 2*m ;
#endif
Xx += 2 ;
Xz += 2 ;
}
else if (k1 == 3)
{
// W = (A * X(1:3,:)')'
sfmult_AN_XT_YT_3 (Wx, Wz, Ap, Ai, Ax, Az, m, n, Xx, Xz, ac, xc, yc, k);
// Y (:,1:3) = W'
for (i = 0 ; i < m ; i++) Yx [i] = Wx [4*i ] ; Yx += m ; Yz += m ;
for (i = 0 ; i < m ; i++) Yx [i] = Wx [4*i+1] ; Yx += m ; Yz += m ;
for (i = 0 ; i < m ; i++) Yx [i] = Wx [4*i+2] ; Yx += m ; Yz += m ;
#if 0
for (i = 0 ; i < m ; i++)
{
Yx [i ] = Wx [4*i ] ;
Yx [i+ m] = Wx [4*i+1] ;
Yx [i+2*m] = Wx [4*i+2] ;
}
Yx += 3*m ;
Yz += 3*m ;
#endif
Xx += 3 ;
Xz += 3 ;
}
for ( ; k1 < k ; k1 += 4)
{
// W = (A * X(1:4,:)')'
sfmult_AN_XT_YT_4 (Wx, Wz, Ap, Ai, Ax, Az, m, n, Xx, Xz, ac, xc, yc, k);
// Y (:,k1+(1:4)) = W'
for (i = 0 ; i < m ; i++) Yx [i] = Wx [4*i ] ; Yx += m ; Yz += m ;
for (i = 0 ; i < m ; i++) Yx [i] = Wx [4*i+1] ; Yx += m ; Yz += m ;
for (i = 0 ; i < m ; i++) Yx [i] = Wx [4*i+2] ; Yx += m ; Yz += m ;
for (i = 0 ; i < m ; i++) Yx [i] = Wx [4*i+3] ; Yx += m ; Yz += m ;
#if 0
for (i = 0 ; i < m ; i++)
{
Yx [i ] = Wx [4*i ] ;
Yx [i+ m] = Wx [4*i+1] ;
Yx [i+2*m] = Wx [4*i+2] ;
Yx [i+3*m] = Wx [4*i+3] ;
}
Yx += 4*m ;
Yz += 4*m ;
#endif
Xx += 4 ;
Xz += 4 ;
}
//--------------------------------------------------------------------------
// free workspace and return result
//--------------------------------------------------------------------------
mxFree (Wx) ;
return (Y) ;
}
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